TSTP Solution File: SWW186+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWW186+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n018.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 21 00:03:31 EDT 2022
% Result : Theorem 50.52s 13.62s
% Output : Proof 69.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWW186+1 : TPTP v8.1.0. Released v5.2.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 5 16:08:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.48/0.61 ____ _
% 0.48/0.61 ___ / __ \_____(_)___ ________ __________
% 0.48/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.48/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.48/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.48/0.61
% 0.48/0.61 A Theorem Prover for First-Order Logic
% 0.48/0.61 (ePrincess v.1.0)
% 0.48/0.61
% 0.48/0.61 (c) Philipp Rümmer, 2009-2015
% 0.48/0.61 (c) Peter Backeman, 2014-2015
% 0.48/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.48/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.48/0.61 Bug reports to peter@backeman.se
% 0.48/0.61
% 0.48/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.48/0.61
% 0.48/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.71/0.66 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 4.41/1.74 Prover 0: Preprocessing ...
% 14.05/3.92 Prover 0: Warning: ignoring some quantifiers
% 14.75/4.04 Prover 0: Constructing countermodel ...
% 22.76/5.95 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 25.20/6.65 Prover 1: Preprocessing ...
% 29.99/7.83 Prover 1: Warning: ignoring some quantifiers
% 30.73/7.95 Prover 1: Constructing countermodel ...
% 33.28/8.59 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 35.83/9.33 Prover 2: Preprocessing ...
% 42.37/10.92 Prover 2: Warning: ignoring some quantifiers
% 42.74/11.01 Prover 2: Constructing countermodel ...
% 50.52/13.62 Prover 0: proved (5484ms)
% 50.52/13.62 Prover 1: stopped
% 50.52/13.62 Prover 2: stopped
% 50.52/13.62
% 50.52/13.62 No countermodel exists, formula is valid
% 50.52/13.62 % SZS status Theorem for theBenchmark
% 50.52/13.62
% 50.52/13.62 Generating proof ... Warning: ignoring some quantifiers
% 65.32/19.24 found it (size 67)
% 65.32/19.24
% 65.32/19.24 % SZS output start Proof for theBenchmark
% 65.32/19.24 Assumed formulas after preprocessing and simplification:
% 65.32/19.24 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ( ~ (v10 = v9) & c_Nat_OSuc(v2) = v12 & c_Nat_OSuc(v0) = v2 & c_Power_Opower__class_Opower(tc_Int_Oint) = v5 & c_Power_Opower__class_Opower(tc_Nat_Onat) = v7 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v9) = v9 & c_Groups_Oone__class_Oone(tc_Int_Oint) = v10 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v2 & c_Groups_Otimes__class_Otimes(tc_Int_Oint) = v6 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v1 & c_Polynomial_Osmult(t_a, v_h, v13) = v16 & c_Groups_Oplus__class_Oplus(v14, v16, v17) = v15 & c_Polynomial_OpCons(t_a, v_a, v13) = v17 & tc_Polynomial_Opoly(t_a) = v14 & c_Groups_Ozero__class_Ozero(v14) = v15 & c_Groups_Ozero__class_Ozero(t_a) = v18 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = v9 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v0 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, v_p, v_h) = v13 & hAPP(v7, v2) = v8 & hAPP(v6, v10) = v11 & hAPP(v1, v2) = v4 & hAPP(v1, v0) = v3 & class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) & class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) & class_Groups_Oplus(tc_Int_Oint) & class_Groups_Oplus(tc_Nat_Onat) & class_Groups_Ominus(tc_HOL_Obool) & class_Groups_Ominus(tc_Int_Oint) & class_Groups_Ominus(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_Oring__1__no__zero__divisors(tc_Int_Oint) & class_Rings_Oring(tc_Int_Oint) & class_Groups_Oordered__ab__group__add(tc_Int_Oint) & class_Groups_Ogroup__add(tc_Int_Oint) & class_Rings_Ocomm__ring(tc_Int_Oint) & class_Groups_Ouminus(tc_HOL_Obool) & class_Groups_Ouminus(tc_Int_Oint) & class_Lattices_Oboolean__algebra(tc_HOL_Obool) & class_Groups_Oab__group__add(tc_Int_Oint) & class_Rings_Ocomm__ring__1(tc_Int_Oint) & 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_Groups_Oone(tc_Int_Oint) & class_Groups_Oone(tc_Nat_Onat) & class_Rings_Olinordered__semiring__1(tc_Int_Oint) & class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) & 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_Orderings_Oorder(tc_HOL_Obool) & class_Orderings_Oorder(tc_Int_Oint) & class_Orderings_Oorder(tc_Nat_Onat) & class_Orderings_Opreorder(tc_HOL_Obool) & class_Orderings_Opreorder(tc_Int_Oint) & class_Orderings_Opreorder(tc_Nat_Onat) & class_Rings_Osemiring__0(tc_Int_Oint) & class_Rings_Osemiring__0(tc_Nat_Onat) & 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__semidom(tc_Int_Oint) & class_Rings_Olinordered__semidom(tc_Nat_Onat) & class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) & class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) & 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_Rings_Odvd(tc_Int_Oint) & class_Rings_Odvd(tc_Nat_Onat) & class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) & class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) & 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_Int_Oring__char__0(tc_Int_Oint) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) & class_Rings_Olinordered__idom(tc_Int_Oint) & c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v10) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) & c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v2) & class_Rings_Olinordered__ring(tc_Int_Oint) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v10) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v9) & 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_Osemiring(tc_Int_Oint) & class_Rings_Osemiring(tc_Nat_Onat) & class_Rings_Ocomm__semiring(tc_Int_Oint) & class_Rings_Ocomm__semiring(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_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_Groups_Omonoid__add(tc_Int_Oint) & class_Groups_Omonoid__add(tc_Nat_Onat) & class_Groups_Ozero(tc_Int_Oint) & class_Groups_Ozero(tc_Nat_Onat) & class_Rings_Oidom(tc_Int_Oint) & class_Groups_Ocomm__monoid__add(tc_Int_Oint) & class_Groups_Ocomm__monoid__add(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) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ! [v33] : ! [v34] : ! [v35] : (v35 = v19 | ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v24) | ~ (c_Groups_Oone__class_Oone(v21) = v25) | ~ (c_Polynomial_Osynthetic__div(v21, v19, v20) = v30) | ~ (c_Polynomial_Opoly(v21, v19) = v32) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v31, v34) = v35) | ~ (c_Polynomial_OpCons(v21, v33, v26) = v34) | ~ (c_Polynomial_OpCons(v21, v25, v26) = v27) | ~ (c_Polynomial_OpCons(v21, v24, v27) = v28) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v22) = v26) | ~ (hAPP(v32, v20) = v33) | ~ (hAPP(v29, v30) = v31) | ~ (hAPP(v23, v28) = v29) | ~ class_Rings_Ocomm__ring__1(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ! [v33] : ( ~ (c_Groups_Ominus__class_Ominus(v23, v22, v20) = v26) | ~ (c_Groups_Ominus__class_Ominus(v23, v21, v19) = v28) | ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v31, v32) = v33) | ~ (c_Groups_Oplus__class_Oplus(v23, v29, v30) = v31) | ~ (hAPP(v27, v28) = v29) | ~ (hAPP(v27, v19) = v30) | ~ (hAPP(v25, v28) = v32) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v24, v20) = v25) | ~ class_RealVector_Oreal__normed__algebra(v23) | ? [v34] : ? [v35] : ? [v36] : (c_Groups_Ominus__class_Ominus(v23, v35, v36) = v33 & hAPP(v34, v21) = v35 & hAPP(v25, v19) = v36 & hAPP(v24, v22) = v34)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : (v23 = v20 | ~ (c_Nat_OSuc(v30) = v31) | ~ (c_Power_Opower__class_Opower(v22) = v24) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v25) | ~ (c_Groups_Oone__class_Oone(v21) = v26) | ~ (c_Polynomial_Oorder(v21, v19, v20) = v30) | ~ (c_Polynomial_OpCons(v21, v26, v23) = v27) | ~ (c_Polynomial_OpCons(v21, v25, v27) = v28) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v22) = v23) | ~ (hAPP(v29, v31) = v32) | ~ (hAPP(v24, v28) = v29) | ~ c_Rings_Odvd__class_Odvd(v22, v32, v20) | ~ class_Rings_Oidom(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : (v23 = v20 | ~ (c_Nat_OSuc(v30) = v31) | ~ (c_Power_Opower__class_Opower(v22) = v24) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v25) | ~ (c_Groups_Oone__class_Oone(v21) = v26) | ~ (c_Polynomial_Oorder(v21, v19, v20) = v30) | ~ (c_Polynomial_OpCons(v21, v26, v23) = v27) | ~ (c_Polynomial_OpCons(v21, v25, v27) = v28) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v22) = v23) | ~ (hAPP(v29, v31) = v32) | ~ (hAPP(v24, v28) = v29) | ~ class_Rings_Oidom(v21) | ? [v33] : (hAPP(v29, v30) = v33 & c_Rings_Odvd__class_Odvd(v22, v33, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (c_Groups_Ominus__class_Ominus(v24, v23, v20) = v29) | ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v31, v21) = v32) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v19) = v28) | ~ (hAPP(v30, v22) = v31) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v29) = v30) | ~ (hAPP(v25, v20) = v26) | ~ class_Rings_Oring(v24) | ? [v33] : ? [v34] : ? [v35] : (c_Groups_Oplus__class_Oplus(v24, v34, v21) = v35 & hAPP(v33, v22) = v34 & hAPP(v25, v23) = v33 & ( ~ (v35 = v28) | v32 = v19) & ( ~ (v32 = v19) | v35 = v28))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (c_Groups_Ominus__class_Ominus(v24, v23, v20) = v29) | ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v31, v21) = v32) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v19) = v28) | ~ (hAPP(v30, v22) = v31) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v29) = v30) | ~ (hAPP(v25, v20) = v26) | ~ class_Rings_Oordered__ring(v24) | ? [v33] : ? [v34] : ? [v35] : (c_Groups_Oplus__class_Oplus(v24, v34, v21) = v35 & hAPP(v33, v22) = v34 & hAPP(v25, v23) = v33 & ( ~ c_Orderings_Oord__class_Oless(v24, v35, v28) | c_Orderings_Oord__class_Oless(v24, v32, v19)) & ( ~ c_Orderings_Oord__class_Oless(v24, v32, v19) | c_Orderings_Oord__class_Oless(v24, v35, v28)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (c_Groups_Ominus__class_Ominus(v24, v23, v20) = v29) | ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v31, v21) = v32) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v19) = v28) | ~ (hAPP(v30, v22) = v31) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v29) = v30) | ~ (hAPP(v25, v20) = v26) | ~ class_Rings_Oordered__ring(v24) | ? [v33] : ? [v34] : ? [v35] : (c_Groups_Oplus__class_Oplus(v24, v34, v21) = v35 & hAPP(v33, v22) = v34 & hAPP(v25, v23) = v33 & ( ~ c_Orderings_Oord__class_Oless__eq(v24, v35, v28) | c_Orderings_Oord__class_Oless__eq(v24, v32, v19)) & ( ~ c_Orderings_Oord__class_Oless__eq(v24, v32, v19) | c_Orderings_Oord__class_Oless__eq(v24, v35, v28)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (c_Groups_Ominus__class_Ominus(v24, v20, v23) = v29) | ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v31, v19) = v32) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v21) = v28) | ~ (hAPP(v30, v22) = v31) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v29) = v30) | ~ (hAPP(v25, v23) = v26) | ~ class_Rings_Oring(v24) | ? [v33] : ? [v34] : ? [v35] : (c_Groups_Oplus__class_Oplus(v24, v34, v19) = v35 & hAPP(v33, v22) = v34 & hAPP(v25, v20) = v33 & ( ~ (v35 = v28) | v32 = v21) & ( ~ (v32 = v21) | v35 = v28))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (c_Groups_Ominus__class_Ominus(v24, v20, v23) = v29) | ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v31, v19) = v32) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v21) = v28) | ~ (hAPP(v30, v22) = v31) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v29) = v30) | ~ (hAPP(v25, v23) = v26) | ~ class_Rings_Oordered__ring(v24) | ? [v33] : ? [v34] : ? [v35] : (c_Groups_Oplus__class_Oplus(v24, v34, v19) = v35 & hAPP(v33, v22) = v34 & hAPP(v25, v20) = v33 & ( ~ c_Orderings_Oord__class_Oless(v24, v28, v35) | c_Orderings_Oord__class_Oless(v24, v21, v32)) & ( ~ c_Orderings_Oord__class_Oless(v24, v21, v32) | c_Orderings_Oord__class_Oless(v24, v28, v35)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (c_Groups_Ominus__class_Ominus(v24, v20, v23) = v29) | ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v31, v19) = v32) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v21) = v28) | ~ (hAPP(v30, v22) = v31) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v29) = v30) | ~ (hAPP(v25, v23) = v26) | ~ class_Rings_Oordered__ring(v24) | ? [v33] : ? [v34] : ? [v35] : (c_Groups_Oplus__class_Oplus(v24, v34, v19) = v35 & hAPP(v33, v22) = v34 & hAPP(v25, v20) = v33 & ( ~ c_Orderings_Oord__class_Oless__eq(v24, v28, v35) | c_Orderings_Oord__class_Oless__eq(v24, v21, v32)) & ( ~ c_Orderings_Oord__class_Oless__eq(v24, v21, v32) | c_Orderings_Oord__class_Oless__eq(v24, v28, v35)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (c_Groups_Otimes__class_Otimes(v27) = v28) | ~ (c_Groups_Oplus__class_Oplus(v27, v31, v22) = v32) | ~ (tc_Polynomial_Opoly(v26) = v27) | ~ (hAPP(v29, v21) = v30) | ~ (hAPP(v29, v19) = v31) | ~ (hAPP(v28, v24) = v29) | ~ c_Polynomial_Opdivmod__rel(v26, v25, v24, v23, v22) | ~ c_Polynomial_Opdivmod__rel(v26, v23, v21, v20, v19) | ~ class_Fields_Ofield(v26) | c_Polynomial_Opdivmod__rel(v26, v25, v30, v20, v32)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ! [v32] : ( ~ (c_fequal(v19, v28) = v29) | ~ (c_If(v23, v29, v22, v30) = v31) | ~ (c_Polynomial_Opoly__rec(v23, v24, v22, v21, v19) = v30) | ~ (tc_Polynomial_Opoly(v24) = v27) | ~ (c_Groups_Ozero__class_Ozero(v27) = v28) | ~ (hAPP(v26, v31) = v32) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v21, v20) = v25) | ~ class_Groups_Ozero(v24) | ? [v33] : (c_Polynomial_Opoly__rec(v23, v24, v22, v21, v33) = v32 & c_Polynomial_OpCons(v24, v20, v19) = v33)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = v28 | ~ (c_Divides_Odiv__class_Omod(v24, v30, v22) = v31) | ~ (c_Divides_Odiv__class_Omod(v24, v27, v22) = v28) | ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (hAPP(v29, v19) = v30) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v25, v23) = v26) | ~ (hAPP(v25, v21) = v29) | ~ class_Divides_Osemiring__div(v24) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : (c_Divides_Odiv__class_Omod(v24, v23, v22) = v32 & c_Divides_Odiv__class_Omod(v24, v21, v22) = v33 & c_Divides_Odiv__class_Omod(v24, v20, v22) = v34 & c_Divides_Odiv__class_Omod(v24, v19, v22) = v35 & ( ~ (v35 = v34) | ~ (v33 = v32)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v31 = v24 | ~ (c_Polynomial_Ocoeff(v21, v29) = v30) | ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (c_Groups_Oone__class_Oone(v21) = v24) | ~ (c_Polynomial_OpCons(v21, v24, v25) = v26) | ~ (c_Polynomial_OpCons(v21, v20, v26) = v27) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v22) = v25) | ~ (hAPP(v30, v19) = v31) | ~ (hAPP(v28, v19) = v29) | ~ (hAPP(v23, v27) = v28) | ~ class_Rings_Ocomm__semiring__1(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v23 = v20 | ~ (c_Power_Opower__class_Opower(v22) = v24) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v25) | ~ (c_Groups_Oone__class_Oone(v21) = v26) | ~ (c_Polynomial_Oorder(v21, v19, v20) = v30) | ~ (c_Polynomial_OpCons(v21, v26, v23) = v27) | ~ (c_Polynomial_OpCons(v21, v25, v27) = v28) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v22) = v23) | ~ (hAPP(v29, v30) = v31) | ~ (hAPP(v24, v28) = v29) | ~ class_Rings_Oidom(v21) | c_Rings_Odvd__class_Odvd(v22, v31, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : (v23 = v20 | ~ (c_Power_Opower__class_Opower(v22) = v24) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v25) | ~ (c_Groups_Oone__class_Oone(v21) = v26) | ~ (c_Polynomial_Oorder(v21, v19, v20) = v30) | ~ (c_Polynomial_OpCons(v21, v26, v23) = v27) | ~ (c_Polynomial_OpCons(v21, v25, v27) = v28) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v22) = v23) | ~ (hAPP(v29, v30) = v31) | ~ (hAPP(v24, v28) = v29) | ~ class_Rings_Oidom(v21) | ? [v32] : ? [v33] : (c_Nat_OSuc(v30) = v32 & hAPP(v29, v32) = v33 & ~ c_Rings_Odvd__class_Odvd(v22, v33, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (c_Groups_Ominus__class_Ominus(v23, v22, v20) = v28) | ~ (c_Groups_Ominus__class_Ominus(v23, v21, v19) = v26) | ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v27, v30) = v31) | ~ (hAPP(v29, v19) = v30) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v24, v28) = v29) | ~ (hAPP(v24, v22) = v25) | ~ class_Rings_Oring(v23) | ? [v32] : ? [v33] : ? [v34] : (c_Groups_Ominus__class_Ominus(v23, v32, v34) = v31 & hAPP(v33, v19) = v34 & hAPP(v25, v21) = v32 & hAPP(v24, v20) = v33)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v24) | ~ (c_Groups_Oone__class_Oone(v21) = v25) | ~ (c_Polynomial_Oorder(v21, v20, v19) = v30) | ~ (c_Polynomial_OpCons(v21, v25, v26) = v27) | ~ (c_Polynomial_OpCons(v21, v24, v27) = v28) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v22) = v26) | ~ (hAPP(v29, v30) = v31) | ~ (hAPP(v23, v28) = v29) | ~ class_Rings_Oidom(v21) | c_Rings_Odvd__class_Odvd(v22, v31, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v24) = v25) | ~ (c_Groups_Oone__class_Oone(v21) = v24) | ~ (c_Groups_Otimes__class_Otimes(v21) = v23) | ~ (hAPP(v29, v19) = v30) | ~ (hAPP(v28, v30) = v31) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v23, v27) = v28) | ~ (hAPP(v22, v25) = v26) | ~ (hAPP(v22, v20) = v29) | ~ class_Rings_Oring__1(v21) | ? [v32] : ? [v33] : (c_Groups_Ouminus__class_Ouminus(v21, v20) = v32 & hAPP(v33, v19) = v31 & hAPP(v22, v32) = v33)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v30, v19) = v31) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v21) = v28) | ~ (hAPP(v29, v22) = v30) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v23) = v26) | ~ (hAPP(v25, v20) = v29) | ~ class_Rings_Oring(v24) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : (c_Groups_Ominus__class_Ominus(v24, v23, v20) = v32 & c_Groups_Oplus__class_Oplus(v24, v34, v21) = v35 & hAPP(v33, v22) = v34 & hAPP(v25, v32) = v33 & ( ~ (v35 = v19) | v31 = v28) & ( ~ (v31 = v28) | v35 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v30, v19) = v31) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v21) = v28) | ~ (hAPP(v29, v22) = v30) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v23) = v26) | ~ (hAPP(v25, v20) = v29) | ~ class_Rings_Oring(v24) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : (c_Groups_Ominus__class_Ominus(v24, v20, v23) = v32 & c_Groups_Oplus__class_Oplus(v24, v34, v19) = v35 & hAPP(v33, v22) = v34 & hAPP(v25, v32) = v33 & ( ~ (v35 = v21) | v31 = v28) & ( ~ (v31 = v28) | v35 = v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v30, v19) = v31) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v21) = v28) | ~ (hAPP(v29, v22) = v30) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v23) = v26) | ~ (hAPP(v25, v20) = v29) | ~ class_Rings_Oordered__ring(v24) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : (c_Groups_Ominus__class_Ominus(v24, v23, v20) = v32 & c_Groups_Oplus__class_Oplus(v24, v34, v21) = v35 & hAPP(v33, v22) = v34 & hAPP(v25, v32) = v33 & ( ~ c_Orderings_Oord__class_Oless(v24, v35, v19) | c_Orderings_Oord__class_Oless(v24, v28, v31)) & ( ~ c_Orderings_Oord__class_Oless(v24, v28, v31) | c_Orderings_Oord__class_Oless(v24, v35, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v30, v19) = v31) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v21) = v28) | ~ (hAPP(v29, v22) = v30) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v23) = v26) | ~ (hAPP(v25, v20) = v29) | ~ class_Rings_Oordered__ring(v24) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : (c_Groups_Ominus__class_Ominus(v24, v23, v20) = v32 & c_Groups_Oplus__class_Oplus(v24, v34, v21) = v35 & hAPP(v33, v22) = v34 & hAPP(v25, v32) = v33 & ( ~ c_Orderings_Oord__class_Oless__eq(v24, v35, v19) | c_Orderings_Oord__class_Oless__eq(v24, v28, v31)) & ( ~ c_Orderings_Oord__class_Oless__eq(v24, v28, v31) | c_Orderings_Oord__class_Oless__eq(v24, v35, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v30, v19) = v31) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v21) = v28) | ~ (hAPP(v29, v22) = v30) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v23) = v26) | ~ (hAPP(v25, v20) = v29) | ~ class_Rings_Oordered__ring(v24) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : (c_Groups_Ominus__class_Ominus(v24, v20, v23) = v32 & c_Groups_Oplus__class_Oplus(v24, v34, v19) = v35 & hAPP(v33, v22) = v34 & hAPP(v25, v32) = v33 & ( ~ c_Orderings_Oord__class_Oless(v24, v28, v31) | c_Orderings_Oord__class_Oless(v24, v21, v35)) & ( ~ c_Orderings_Oord__class_Oless(v24, v21, v35) | c_Orderings_Oord__class_Oless(v24, v28, v31)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ! [v31] : ( ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v30, v19) = v31) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v21) = v28) | ~ (hAPP(v29, v22) = v30) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v23) = v26) | ~ (hAPP(v25, v20) = v29) | ~ class_Rings_Oordered__ring(v24) | ? [v32] : ? [v33] : ? [v34] : ? [v35] : (c_Groups_Ominus__class_Ominus(v24, v20, v23) = v32 & c_Groups_Oplus__class_Oplus(v24, v34, v19) = v35 & hAPP(v33, v22) = v34 & hAPP(v25, v32) = v33 & ( ~ c_Orderings_Oord__class_Oless__eq(v24, v28, v31) | c_Orderings_Oord__class_Oless__eq(v24, v21, v35)) & ( ~ c_Orderings_Oord__class_Oless__eq(v24, v21, v35) | c_Orderings_Oord__class_Oless__eq(v24, v28, v31)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : (v30 = v19 | ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (c_Polynomial_Odegree(v21, v29) = v30) | ~ (c_Groups_Oone__class_Oone(v21) = v24) | ~ (c_Polynomial_OpCons(v21, v24, v25) = v26) | ~ (c_Polynomial_OpCons(v21, v20, v26) = v27) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v22) = v25) | ~ (hAPP(v28, v19) = v29) | ~ (hAPP(v23, v27) = v28) | ~ class_Rings_Ocomm__semiring__1(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Divides_Odiv__class_Omod(v24, v29, v22) = v30) | ~ (c_Divides_Odiv__class_Omod(v24, v23, v22) = v25) | ~ (c_Divides_Odiv__class_Omod(v24, v20, v22) = v26) | ~ (c_Groups_Otimes__class_Otimes(v24) = v27) | ~ (hAPP(v28, v19) = v29) | ~ (hAPP(v27, v21) = v28) | ~ class_Divides_Osemiring__div(v24) | ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : (c_Divides_Odiv__class_Omod(v24, v34, v22) = v35 & c_Divides_Odiv__class_Omod(v24, v21, v22) = v31 & c_Divides_Odiv__class_Omod(v24, v19, v22) = v32 & hAPP(v33, v20) = v34 & hAPP(v27, v23) = v33 & ( ~ (v32 = v26) | ~ (v31 = v25) | v35 = v30))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Divides_Odiv__class_Omod(v24, v29, v22) = v30) | ~ (c_Divides_Odiv__class_Omod(v24, v21, v22) = v25) | ~ (c_Divides_Odiv__class_Omod(v24, v19, v22) = v26) | ~ (c_Groups_Otimes__class_Otimes(v24) = v27) | ~ (hAPP(v28, v20) = v29) | ~ (hAPP(v27, v23) = v28) | ~ class_Divides_Osemiring__div(v24) | ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : (c_Divides_Odiv__class_Omod(v24, v34, v22) = v35 & c_Divides_Odiv__class_Omod(v24, v23, v22) = v31 & c_Divides_Odiv__class_Omod(v24, v20, v22) = v32 & hAPP(v33, v19) = v34 & hAPP(v27, v21) = v33 & ( ~ (v32 = v26) | ~ (v31 = v25) | v35 = v30))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Polynomial_Ocoeff(v21, v25) = v26) | ~ (c_Polynomial_Odegree(v21, v20) = v27) | ~ (c_Polynomial_Odegree(v21, v19) = v28) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v27, v28) = v29) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (hAPP(v26, v29) = v30) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v20) = v24) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : (c_Polynomial_Ocoeff(v21, v20) = v32 & c_Polynomial_Ocoeff(v21, v19) = v35 & c_Groups_Otimes__class_Otimes(v21) = v31 & hAPP(v35, v28) = v36 & hAPP(v34, v36) = v30 & hAPP(v32, v27) = v33 & hAPP(v31, v33) = v34)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Polynomial_Ocoeff(v21, v20) = v25) | ~ (c_Polynomial_Ocoeff(v21, v19) = v28) | ~ (c_Polynomial_Odegree(v21, v20) = v22) | ~ (c_Polynomial_Odegree(v21, v19) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v24) | ~ (hAPP(v28, v23) = v29) | ~ (hAPP(v27, v29) = v30) | ~ (hAPP(v25, v22) = v26) | ~ (hAPP(v24, v26) = v27) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : (c_Polynomial_Ocoeff(v21, v34) = v35 & c_Groups_Otimes__class_Otimes(v31) = v32 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v23) = v36 & tc_Polynomial_Opoly(v21) = v31 & hAPP(v35, v36) = v30 & hAPP(v33, v19) = v34 & hAPP(v32, v20) = v33)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (c_Groups_Otimes__class_Otimes(v22) = v24) | ~ (hAPP(v28, v19) = v29) | ~ (hAPP(v27, v29) = v30) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v23, v21) = v25) | ~ (hAPP(v23, v20) = v28) | ~ class_Groups_Ocomm__monoid__mult(v22) | ? [v31] : ? [v32] : ? [v33] : (hAPP(v33, v19) = v30 & hAPP(v31, v20) = v32 & hAPP(v24, v21) = v31 & hAPP(v23, v32) = v33)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (c_Groups_Otimes__class_Otimes(v22) = v24) | ~ (hAPP(v28, v19) = v29) | ~ (hAPP(v27, v29) = v30) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v23, v21) = v25) | ~ (hAPP(v23, v20) = v28) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v31] : ? [v32] : ? [v33] : (hAPP(v33, v19) = v30 & hAPP(v31, v20) = v32 & hAPP(v24, v21) = v31 & hAPP(v23, v32) = v33)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Polynomial_Opcompose(v22, v20, v19) = v28) | ~ (c_Groups_Otimes__class_Otimes(v23) = v26) | ~ (c_Groups_Oplus__class_Oplus(v23, v25, v29) = v30) | ~ (c_Polynomial_OpCons(v22, v21, v24) = v25) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (c_Groups_Ozero__class_Ozero(v23) = v24) | ~ (hAPP(v27, v28) = v29) | ~ (hAPP(v26, v19) = v27) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v31] : (c_Polynomial_Opcompose(v22, v31, v19) = v30 & c_Polynomial_OpCons(v22, v21, v20) = v31)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v29) = v30) | ~ (hAPP(v28, v21) = v29) | ~ (hAPP(v26, v23) = v27) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v25, v19) = v28) | ~ class_Rings_Olinordered__semiring__1(v24) | ~ c_Orderings_Oord__class_Oless__eq(v24, v23, v22) | ~ c_Orderings_Oord__class_Oless__eq(v24, v21, v22) | c_Orderings_Oord__class_Oless__eq(v24, v30, v22) | ? [v31] : ? [v32] : ? [v33] : (c_Groups_Oone__class_Oone(v24) = v33 & c_Groups_Oplus__class_Oplus(v24, v20, v19) = v32 & c_Groups_Ozero__class_Ozero(v24) = v31 & ( ~ (v33 = v32) | ~ c_Orderings_Oord__class_Oless__eq(v24, v31, v20) | ~ c_Orderings_Oord__class_Oless__eq(v24, v31, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v29) = v30) | ~ (hAPP(v28, v21) = v29) | ~ (hAPP(v26, v23) = v27) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v25, v19) = v28) | ~ class_Rings_Olinordered__semiring__1__strict(v24) | ~ c_Orderings_Oord__class_Oless(v24, v23, v22) | ~ c_Orderings_Oord__class_Oless(v24, v21, v22) | c_Orderings_Oord__class_Oless(v24, v30, v22) | ? [v31] : ? [v32] : ? [v33] : (c_Groups_Oone__class_Oone(v24) = v33 & c_Groups_Oplus__class_Oplus(v24, v20, v19) = v32 & c_Groups_Ozero__class_Ozero(v24) = v31 & ( ~ (v33 = v32) | ~ c_Orderings_Oord__class_Oless__eq(v24, v31, v20) | ~ c_Orderings_Oord__class_Oless__eq(v24, v31, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Polynomial_Osmult(v22, v21, v19) = v25) | ~ (c_Groups_Oplus__class_Oplus(v23, v25, v29) = v30) | ~ (c_Polynomial_OpCons(v22, v26, v28) = v29) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (c_Groups_Ozero__class_Ozero(v22) = v26) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v24, v20) = v27) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v31] : ? [v32] : (c_Polynomial_OpCons(v22, v21, v20) = v31 & hAPP(v32, v19) = v30 & hAPP(v24, v31) = v32)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Polynomial_Osmult(v22, v20, v21) = v26) | ~ (c_Groups_Oplus__class_Oplus(v23, v26, v29) = v30) | ~ (c_Polynomial_OpCons(v22, v27, v28) = v29) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (c_Groups_Ozero__class_Ozero(v22) = v27) | ~ (hAPP(v25, v19) = v28) | ~ (hAPP(v24, v21) = v25) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v31] : (c_Polynomial_OpCons(v22, v20, v19) = v31 & hAPP(v25, v31) = v30)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v28, v19) = v29) | ~ (c_Groups_Oplus__class_Oplus(v23, v26, v29) = v30) | ~ (hAPP(v27, v21) = v28) | ~ (hAPP(v25, v21) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v20) = v27) | ~ class_Rings_Osemiring(v23) | ? [v31] : ? [v32] : ? [v33] : (c_Groups_Oplus__class_Oplus(v23, v33, v19) = v30 & c_Groups_Oplus__class_Oplus(v23, v22, v20) = v31 & hAPP(v32, v21) = v33 & hAPP(v24, v31) = v32)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v28, v29) = v30) | ~ (hAPP(v27, v19) = v29) | ~ (hAPP(v25, v21) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v20) = v28) | ~ class_Rings_Ocomm__semiring__1(v23) | ? [v31] : (hAPP(v28, v19) = v31 & hAPP(v27, v31) = v30)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v28, v27) = v29) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v25, v29) = v30) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v21) = v28) | ~ (hAPP(v24, v20) = v26) | ~ class_Rings_Ocomm__semiring__1(v23) | ? [v31] : ? [v32] : (hAPP(v32, v27) = v30 & hAPP(v25, v21) = v31 & hAPP(v24, v31) = v32)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v28, v19) = v29) | ~ (hAPP(v27, v29) = v30) | ~ (hAPP(v25, v21) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v20) = v28) | ~ class_Rings_Ocomm__semiring__1(v23) | ? [v31] : ? [v32] : ? [v33] : ? [v34] : (hAPP(v33, v19) = v34 & hAPP(v32, v34) = v30 & hAPP(v25, v20) = v31 & hAPP(v24, v31) = v32 & hAPP(v24, v21) = v33)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v28, v19) = v29) | ~ (hAPP(v27, v29) = v30) | ~ (hAPP(v25, v21) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v20) = v28) | ~ class_Rings_Ocomm__semiring__1(v23) | ? [v31] : ? [v32] : (hAPP(v31, v29) = v32 & hAPP(v25, v32) = v30 & hAPP(v24, v21) = v31)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v28, v19) = v29) | ~ (hAPP(v27, v29) = v30) | ~ (hAPP(v25, v21) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v20) = v28) | ~ class_Rings_Ocomm__semiring__1(v23) | ? [v31] : (hAPP(v28, v31) = v30 & hAPP(v27, v19) = v31)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ! [v30] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v28, v19) = v29) | ~ (hAPP(v27, v29) = v30) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v21) = v28) | ~ class_Rings_Ocomm__semiring__1(v23) | ? [v31] : ? [v32] : ? [v33] : ? [v34] : (hAPP(v33, v19) = v34 & hAPP(v32, v34) = v30 & hAPP(v25, v21) = v31 & hAPP(v24, v31) = v32 & hAPP(v24, v20) = v33)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Ominus__class_Ominus(v23, v26, v28) = v29) | ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v21) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v20) = v27) | ~ class_Rings_Oring(v23) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (c_Groups_Ominus__class_Ominus(v23, v22, v20) = v32 & c_Groups_Ominus__class_Ominus(v23, v21, v19) = v30 & c_Groups_Oplus__class_Oplus(v23, v31, v34) = v29 & hAPP(v33, v19) = v34 & hAPP(v25, v30) = v31 & hAPP(v24, v32) = v33)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Ominus__class_Ominus(v23, v26, v28) = v29) | ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v21) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v20) = v27) | ~ class_RealVector_Oreal__normed__algebra(v23) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : (c_Groups_Ominus__class_Ominus(v23, v22, v20) = v30 & c_Groups_Ominus__class_Ominus(v23, v21, v19) = v32 & c_Groups_Oplus__class_Oplus(v23, v35, v36) = v29 & c_Groups_Oplus__class_Oplus(v23, v33, v34) = v35 & hAPP(v31, v32) = v33 & hAPP(v31, v19) = v34 & hAPP(v27, v32) = v36 & hAPP(v24, v30) = v31)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v24, v27) = v28) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v28, v19) = v29) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v23, v25) = v26) | ~ class_Rings_Ocomm__ring(v22) | ~ class_Rings_Odvd(v22) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v29) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v20) | ? [v30] : (c_Groups_Oplus__class_Oplus(v22, v24, v19) = v30 & c_Rings_Odvd__class_Odvd(v22, v21, v30))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v24, v27) = v28) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v28, v19) = v29) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v23, v25) = v26) | ~ class_Rings_Ocomm__ring(v22) | ~ class_Rings_Odvd(v22) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v20) | c_Rings_Odvd__class_Odvd(v22, v21, v29) | ? [v30] : (c_Groups_Oplus__class_Oplus(v22, v24, v19) = v30 & ~ c_Rings_Odvd__class_Odvd(v22, v21, v30))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v19, v20) = v26) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v24) | ~ (hAPP(v28, v23) = v29) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v24, v27) = v28) | ~ (hAPP(v24, v22) = v25) | ~ class_Rings_Odivision__ring(v21) | ? [v30] : ? [v31] : (c_Groups_Ominus__class_Ominus(v21, v22, v23) = v31 & c_Groups_Ozero__class_Ozero(v21) = v30 & (v31 = v29 | v30 = v20 | v30 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v24) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v26) | ~ (hAPP(v28, v23) = v29) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v24, v27) = v28) | ~ (hAPP(v24, v22) = v25) | ~ class_Rings_Odivision__ring(v21) | ? [v30] : ? [v31] : (c_Groups_Oplus__class_Oplus(v21, v22, v23) = v31 & c_Groups_Ozero__class_Ozero(v21) = v30 & (v31 = v29 | v30 = v20 | v30 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v24) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v25) | ~ (hAPP(v28, v23) = v29) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v24, v27) = v28) | ~ (hAPP(v24, v25) = v26) | ~ class_Fields_Ofield(v21) | ? [v30] : ? [v31] : (c_Groups_Oplus__class_Oplus(v21, v22, v23) = v31 & c_Groups_Ozero__class_Ozero(v21) = v30 & (v31 = v29 | v30 = v20 | v30 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Power_Opower__class_Opower(v22) = v24) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v27, v28) = v29) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v25, v19) = v28) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v23, v26) = v27) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v30] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v30 & hAPP(v25, v30) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (c_Groups_Otimes__class_Otimes(v22) = v25) | ~ (hAPP(v27, v28) = v29) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v24, v20) = v26) | ~ (hAPP(v24, v19) = v28) | ~ (hAPP(v23, v21) = v24) | ~ class_Groups_Omonoid__mult(v22) | ? [v30] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v30 & hAPP(v24, v30) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Polynomial_Omonom(v23, v22, v21) = v26) | ~ (c_Polynomial_Omonom(v23, v20, v19) = v28) | ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (tc_Polynomial_Opoly(v23) = v24) | ~ (hAPP(v27, v28) = v29) | ~ (hAPP(v25, v26) = v27) | ~ class_Rings_Ocomm__semiring__0(v23) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Polynomial_Omonom(v23, v32, v33) = v29 & c_Groups_Otimes__class_Otimes(v23) = v30 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v33 & hAPP(v31, v20) = v32 & hAPP(v30, v22) = v31)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Polynomial_Opoly(v22, v21) = v24) | ~ (c_Polynomial_Opoly(v22, v20) = v27) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v26, v28) = v29) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v25) = v26) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (c_Polynomial_Opoly(v22, v33) = v34 & c_Groups_Otimes__class_Otimes(v30) = v31 & tc_Polynomial_Opoly(v22) = v30 & hAPP(v34, v19) = v29 & hAPP(v32, v20) = v33 & hAPP(v31, v21) = v32)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v27, v28) = v29) | ~ (hAPP(v26, v21) = v28) | ~ (hAPP(v25, v19) = v27) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v20) = v26) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v23) | ? [v30] : ? [v31] : ? [v32] : (c_Groups_Oplus__class_Oplus(v23, v30, v31) = v32 & hAPP(v26, v19) = v31 & hAPP(v25, v21) = v30 & ( ~ (v32 = v29) | v22 = v20 | v21 = v19) & (v32 = v29 | ( ~ (v22 = v20) & ~ (v21 = v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v27, v28) = v29) | ~ (hAPP(v26, v20) = v28) | ~ (hAPP(v25, v19) = v27) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v21) = v26) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v23) | ? [v30] : ? [v31] : ? [v32] : (c_Groups_Oplus__class_Oplus(v23, v30, v31) = v32 & hAPP(v26, v19) = v31 & hAPP(v25, v20) = v30 & ( ~ (v32 = v29) | v22 = v21 | v20 = v19) & (v32 = v29 | ( ~ (v22 = v21) & ~ (v20 = v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v26, v28) = v29) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v24, v20) = v27) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v30] : ? [v31] : (c_Groups_Oplus__class_Oplus(v23, v21, v20) = v30 & hAPP(v31, v19) = v29 & hAPP(v24, v30) = v31)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v26, v28) = v29) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v21) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v20) = v27) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v23) | ? [v30] : ? [v31] : ? [v32] : (c_Groups_Oplus__class_Oplus(v23, v30, v31) = v32 & hAPP(v27, v21) = v31 & hAPP(v25, v19) = v30 & ( ~ (v32 = v29) | v22 = v20 | v21 = v19) & (v32 = v29 | ( ~ (v22 = v20) & ~ (v21 = v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v26, v28) = v29) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v21) = v27) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v23) | ? [v30] : ? [v31] : ? [v32] : (c_Groups_Oplus__class_Oplus(v23, v30, v31) = v32 & hAPP(v27, v20) = v31 & hAPP(v25, v19) = v30 & ( ~ (v32 = v29) | v22 = v21 | v20 = v19) & (v32 = v29 | ( ~ (v22 = v21) & ~ (v20 = v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v29, v19) = v27) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v26, v22) = v27) | ~ (hAPP(v28, v20) = v29) | ~ (hAPP(v25, v23) = v26) | ~ (hAPP(v6, v24) = v25) | ~ (hAPP(v6, v21) = v28) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v27, v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v22, v24) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v21, v24) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ! [v29] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v29, v19) = v27) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v26, v22) = v27) | ~ (hAPP(v28, v20) = v29) | ~ (hAPP(v25, v23) = v26) | ~ (hAPP(v6, v24) = v25) | ~ (hAPP(v6, v21) = v28) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v21, v24) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v27) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v22) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v23, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v28 = v26 | ~ (c_Groups_Ominus__class_Ominus(v24, v23, v20) = v25) | ~ (c_Groups_Ominus__class_Ominus(v24, v21, v19) = v27) | ~ (c_Divides_Odiv__class_Omod(v24, v27, v22) = v28) | ~ (c_Divides_Odiv__class_Omod(v24, v25, v22) = v26) | ~ class_Divides_Oring__div(v24) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Divides_Odiv__class_Omod(v24, v23, v22) = v29 & c_Divides_Odiv__class_Omod(v24, v21, v22) = v30 & c_Divides_Odiv__class_Omod(v24, v20, v22) = v31 & c_Divides_Odiv__class_Omod(v24, v19, v22) = v32 & ( ~ (v32 = v31) | ~ (v30 = v29)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v28 = v26 | ~ (c_Divides_Odiv__class_Omod(v24, v27, v22) = v28) | ~ (c_Divides_Odiv__class_Omod(v24, v25, v22) = v26) | ~ (c_Groups_Oplus__class_Oplus(v24, v23, v20) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v21, v19) = v27) | ~ class_Divides_Osemiring__div(v24) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Divides_Odiv__class_Omod(v24, v23, v22) = v29 & c_Divides_Odiv__class_Omod(v24, v21, v22) = v30 & c_Divides_Odiv__class_Omod(v24, v20, v22) = v31 & c_Divides_Odiv__class_Omod(v24, v19, v22) = v32 & ( ~ (v32 = v31) | ~ (v30 = v29)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : (v20 = v19 | ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v21, v28) = v27) | ~ (c_Groups_Oplus__class_Oplus(v23, v21, v26) = v27) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v25, v19) = v28) | ~ (hAPP(v24, v22) = v25) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v23) | c_Groups_Ozero__class_Ozero(v23) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Ominus__class_Ominus(v24, v23, v20) = v27) | ~ (c_Divides_Odiv__class_Omod(v24, v27, v22) = v28) | ~ (c_Divides_Odiv__class_Omod(v24, v21, v22) = v25) | ~ (c_Divides_Odiv__class_Omod(v24, v19, v22) = v26) | ~ class_Divides_Oring__div(v24) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Groups_Ominus__class_Ominus(v24, v21, v19) = v31 & c_Divides_Odiv__class_Omod(v24, v31, v22) = v32 & c_Divides_Odiv__class_Omod(v24, v23, v22) = v29 & c_Divides_Odiv__class_Omod(v24, v20, v22) = v30 & ( ~ (v30 = v26) | ~ (v29 = v25) | v32 = v28))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Ominus__class_Ominus(v24, v21, v19) = v27) | ~ (c_Divides_Odiv__class_Omod(v24, v27, v22) = v28) | ~ (c_Divides_Odiv__class_Omod(v24, v23, v22) = v25) | ~ (c_Divides_Odiv__class_Omod(v24, v20, v22) = v26) | ~ class_Divides_Oring__div(v24) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Groups_Ominus__class_Ominus(v24, v23, v20) = v31 & c_Divides_Odiv__class_Omod(v24, v31, v22) = v32 & c_Divides_Odiv__class_Omod(v24, v21, v22) = v29 & c_Divides_Odiv__class_Omod(v24, v19, v22) = v30 & ( ~ (v30 = v26) | ~ (v29 = v25) | v32 = v28))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v25, v27) = v28) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v26) | ~ class_RealVector_Oreal__normed__algebra(v22) | ? [v29] : ? [v30] : (c_Groups_Ominus__class_Ominus(v22, v21, v20) = v29 & hAPP(v30, v19) = v28 & hAPP(v23, v29) = v30)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v2) = v25) | ~ (c_Power_Opower__class_Opower(v21) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v26) = v27) | ~ class_Groups_Omonoid__mult(v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | hAPP(v24, v20) = v28) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Divides_Odiv__class_Omod(v24, v27, v22) = v28) | ~ (c_Divides_Odiv__class_Omod(v24, v23, v22) = v25) | ~ (c_Divides_Odiv__class_Omod(v24, v20, v22) = v26) | ~ (c_Groups_Oplus__class_Oplus(v24, v21, v19) = v27) | ~ class_Divides_Osemiring__div(v24) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Divides_Odiv__class_Omod(v24, v31, v22) = v32 & c_Divides_Odiv__class_Omod(v24, v21, v22) = v29 & c_Divides_Odiv__class_Omod(v24, v19, v22) = v30 & c_Groups_Oplus__class_Oplus(v24, v23, v20) = v31 & ( ~ (v30 = v26) | ~ (v29 = v25) | v32 = v28))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Divides_Odiv__class_Omod(v24, v27, v22) = v28) | ~ (c_Divides_Odiv__class_Omod(v24, v21, v22) = v25) | ~ (c_Divides_Odiv__class_Omod(v24, v19, v22) = v26) | ~ (c_Groups_Oplus__class_Oplus(v24, v23, v20) = v27) | ~ class_Divides_Osemiring__div(v24) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Divides_Odiv__class_Omod(v24, v31, v22) = v32 & c_Divides_Odiv__class_Omod(v24, v23, v22) = v29 & c_Divides_Odiv__class_Omod(v24, v20, v22) = v30 & c_Groups_Oplus__class_Oplus(v24, v21, v19) = v31 & ( ~ (v30 = v26) | ~ (v29 = v25) | v32 = v28))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Divides_Odiv__class_Omod(v22, v27, v19) = v28) | ~ (c_Divides_Odiv__class_Omod(v22, v21, v19) = v24) | ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v26) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v23, v24) = v25) | ~ class_Divides_Osemiring__div(v22) | ? [v29] : ? [v30] : (c_Divides_Odiv__class_Omod(v22, v30, v19) = v28 & hAPP(v29, v20) = v30 & hAPP(v23, v21) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Divides_Odiv__class_Omod(v22, v25, v27) = v28) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v19) = v26) | ~ class_Divides_Osemiring__div(v22) | ? [v29] : ? [v30] : (c_Divides_Odiv__class_Omod(v22, v21, v19) = v29 & hAPP(v30, v20) = v28 & hAPP(v23, v29) = v30)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Power_Opower_Opower(v23, v22, v21) = v24) | ~ (hAPP(v26, v27) = v28) | ~ (hAPP(v25, v19) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v21, v20) = v26) | ? [v29] : (c_Nat_OSuc(v19) = v29 & hAPP(v25, v29) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Nat_OSuc(v20) = v25) | ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v27, v25) = v28) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v19) = v27) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v26, v28) | c_Orderings_Oord__class_Oless__eq(v22, v21, v19) | ? [v29] : (c_Groups_Ozero__class_Ozero(v22) = v29 & ~ c_Orderings_Oord__class_Oless__eq(v22, v29, v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Power_Opower__class_Opower(v23) = v24) | ~ (c_Polynomial_Opoly(v22, v26) = v27) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v21) = v25) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Power_Opower__class_Opower(v22) = v29 & c_Polynomial_Opoly(v22, v21) = v30 & hAPP(v32, v20) = v28 & hAPP(v30, v19) = v31 & hAPP(v29, v31) = v32)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Power_Opower__class_Opower(v23) = v24) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v21) = v27) | ~ c_Rings_Odvd__class_Odvd(v23, v22, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | ~ class_Rings_Ocomm__semiring__1(v23) | c_Rings_Odvd__class_Odvd(v23, v26, v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Power_Opower__class_Opower(v22) = v25) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v27) = v28) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v29] : ? [v30] : (c_Polynomial_Omonom(v22, v21, v20) = v29 & c_Polynomial_Opoly(v22, v29) = v30 & hAPP(v30, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (c_Groups_Otimes__class_Otimes(v22) = v24) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v23, v26) = v27) | ~ class_Groups_Ocomm__monoid__mult(v22) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : (hAPP(v32, v19) = v33 & hAPP(v31, v33) = v28 & hAPP(v29, v19) = v30 & hAPP(v24, v30) = v31 & hAPP(v23, v21) = v29 & hAPP(v23, v20) = v32)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (c_Groups_Otimes__class_Otimes(v22) = v24) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v23, v26) = v27) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : (hAPP(v32, v19) = v33 & hAPP(v31, v33) = v28 & hAPP(v29, v19) = v30 & hAPP(v24, v30) = v31 & hAPP(v23, v21) = v29 & hAPP(v23, v20) = v32)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Polynomial_Omonom(v23, v26, v27) = v28) | ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v27) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v22) = v25) | ~ class_Rings_Ocomm__semiring__0(v23) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Polynomial_Omonom(v23, v22, v21) = v31 & c_Polynomial_Omonom(v23, v20, v19) = v33 & c_Groups_Otimes__class_Otimes(v29) = v30 & tc_Polynomial_Opoly(v23) = v29 & hAPP(v32, v33) = v28 & hAPP(v30, v31) = v32)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Polynomial_Opoly(v22, v26) = v27) | ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v21) = v25) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : (c_Polynomial_Opoly(v22, v21) = v30 & c_Polynomial_Opoly(v22, v20) = v33 & c_Groups_Otimes__class_Otimes(v22) = v29 & hAPP(v33, v19) = v34 & hAPP(v32, v34) = v28 & hAPP(v30, v19) = v31 & hAPP(v29, v31) = v32)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Polynomial_Opoly(v22, v20) = v25) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v27) = v28) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v29] : ? [v30] : (c_Polynomial_Opoly(v22, v29) = v30 & c_Polynomial_OpCons(v22, v21, v20) = v29 & hAPP(v30, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v27, v19) = v28) | ~ (c_Groups_Oplus__class_Oplus(v23, v22, v20) = v25) | ~ (hAPP(v26, v21) = v27) | ~ (hAPP(v24, v25) = v26) | ~ class_Rings_Osemiring(v23) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Groups_Oplus__class_Oplus(v23, v32, v19) = v33 & c_Groups_Oplus__class_Oplus(v23, v30, v33) = v28 & hAPP(v31, v21) = v32 & hAPP(v29, v21) = v30 & hAPP(v24, v22) = v29 & hAPP(v24, v20) = v31)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v21) = v27) | ~ class_Rings_Oordered__semiring(v23) | ~ c_Orderings_Oord__class_Oless__eq(v23, v22, v21) | ~ c_Orderings_Oord__class_Oless__eq(v23, v20, v19) | c_Orderings_Oord__class_Oless__eq(v23, v26, v28) | ? [v29] : (c_Groups_Ozero__class_Ozero(v23) = v29 & ( ~ c_Orderings_Oord__class_Oless__eq(v23, v29, v22) | ~ c_Orderings_Oord__class_Oless__eq(v23, v29, v20)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v21) = v27) | ~ class_Rings_Oordered__semiring(v23) | ~ c_Orderings_Oord__class_Oless__eq(v23, v22, v21) | ~ c_Orderings_Oord__class_Oless__eq(v23, v20, v19) | c_Orderings_Oord__class_Oless__eq(v23, v26, v28) | ? [v29] : (c_Groups_Ozero__class_Ozero(v23) = v29 & ( ~ c_Orderings_Oord__class_Oless__eq(v23, v29, v21) | ~ c_Orderings_Oord__class_Oless__eq(v23, v29, v20)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v21) = v27) | ~ class_Rings_Olinordered__semiring__strict(v23) | ~ c_Orderings_Oord__class_Oless(v23, v22, v21) | ~ c_Orderings_Oord__class_Oless(v23, v20, v19) | c_Orderings_Oord__class_Oless(v23, v26, v28) | ? [v29] : (c_Groups_Ozero__class_Ozero(v23) = v29 & ( ~ c_Orderings_Oord__class_Oless(v23, v29, v21) | ~ c_Orderings_Oord__class_Oless__eq(v23, v29, v20)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v21) = v27) | ~ class_Rings_Olinordered__semiring__strict(v23) | ~ c_Orderings_Oord__class_Oless(v23, v22, v21) | ~ c_Orderings_Oord__class_Oless(v23, v20, v19) | c_Orderings_Oord__class_Oless(v23, v26, v28) | ? [v29] : (c_Groups_Ozero__class_Ozero(v23) = v29 & ( ~ c_Orderings_Oord__class_Oless__eq(v23, v29, v22) | ~ c_Orderings_Oord__class_Oless__eq(v23, v29, v20)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v21) = v27) | ~ class_Rings_Olinordered__semiring__strict(v23) | ~ c_Orderings_Oord__class_Oless(v23, v22, v21) | ~ c_Orderings_Oord__class_Oless__eq(v23, v20, v19) | c_Orderings_Oord__class_Oless(v23, v26, v28) | ? [v29] : (c_Groups_Ozero__class_Ozero(v23) = v29 & ( ~ c_Orderings_Oord__class_Oless(v23, v29, v20) | ~ c_Orderings_Oord__class_Oless__eq(v23, v29, v22)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v21) = v27) | ~ class_Rings_Olinordered__semiring__strict(v23) | ~ c_Orderings_Oord__class_Oless(v23, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(v23, v22, v21) | c_Orderings_Oord__class_Oless(v23, v26, v28) | ? [v29] : (c_Groups_Ozero__class_Ozero(v23) = v29 & ( ~ c_Orderings_Oord__class_Oless(v23, v29, v22) | ~ c_Orderings_Oord__class_Oless__eq(v23, v29, v20)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (hAPP(v27, v19) = v28) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v21) = v27) | ~ c_Rings_Odvd__class_Odvd(v23, v22, v21) | ~ c_Rings_Odvd__class_Odvd(v23, v20, v19) | ~ class_Rings_Ocomm__semiring__1(v23) | c_Rings_Odvd__class_Odvd(v23, v26, v28)) & ! [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, v20) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v19) = v26) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v29 & hAPP(v30, v20) = v28 & hAPP(v23, v29) = v30)) & ! [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, v19) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v26) | ~ class_Rings_Ocomm__semiring(v22) | ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v29 & hAPP(v30, v19) = v28 & hAPP(v23, v29) = v30)) & ! [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, v19) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v26) | ~ class_RealVector_Oreal__normed__algebra(v22) | ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v29 & hAPP(v30, v19) = v28 & hAPP(v23, v29) = v30)) & ! [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, v19) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v26) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v29 & hAPP(v30, v19) = v28 & hAPP(v23, v29) = v30)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Polynomial_Opoly__rec(v21, v24, v22, v23, v19) = v27) | ~ (hAPP(v26, v27) = v28) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v20) = v25) | ~ class_Groups_Ozero(v24) | ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : (c_Polynomial_Opoly__rec(v21, v24, v22, v23, v35) = v36 & c_Polynomial_OpCons(v24, v20, v19) = v35 & tc_Polynomial_Opoly(v24) = v31 & c_Groups_Ozero__class_Ozero(v31) = v32 & c_Groups_Ozero__class_Ozero(v24) = v29 & hAPP(v33, v22) = v34 & hAPP(v30, v32) = v33 & hAPP(v23, v29) = v30 & ( ~ (v34 = v22) | v36 = v28))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v27, v19) = v28) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v25, v21) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v20) = v27) | ~ (hAPP(v6, v23) = v24) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v23, v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v23, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v26, v28) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v9) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v27, v19) = v28) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v25, v21) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v24, v20) = v27) | ~ (hAPP(v6, v23) = v24) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v21, v23) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v26, v28) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v21) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v22, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v26, v19) = v27) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v24, v27) = v28) | ~ (hAPP(v25, v21) = v26) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v1, v22) = v23) | ~ (hAPP(v1, v20) = v25) | ? [v29] : ? [v30] : ? [v31] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v31, v19) = v28 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v20) = v29 & hAPP(v30, v21) = v31 & hAPP(v1, v29) = v30)) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ! [v28] : ( ~ (c_Groups_Otimes__class_Otimes(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v27, v20) = v28) | ~ (tc_Polynomial_Opoly(v23) = v24) | ~ (hAPP(v26, v22) = v27) | ~ (hAPP(v25, v21) = v26) | ~ class_Fields_Ofield(v23) | ? [v29] : ? [v30] : ? [v31] : (c_Polynomial_Odegree(v23, v22) = v31 & c_Polynomial_Odegree(v23, v20) = v30 & c_Groups_Ozero__class_Ozero(v24) = v29 & ( ~ (v28 = v19) | c_Polynomial_Opdivmod__rel(v23, v19, v22, v21, v20) | (v29 = v22 & ~ (v22 = v21)) | ( ~ (v29 = v22) & ~ (v29 = v20) & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v30, v31))) & ( ~ c_Polynomial_Opdivmod__rel(v23, v19, v22, v21, v20) | (v28 = v19 & ( ~ (v29 = v22) | v22 = v21) & (v29 = v22 | v29 = v20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v30, v31)))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : (v21 = v19 | ~ (c_Nat_OSuc(v20) = v25) | ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v27, v25) = v26) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v19) = v27) | ~ class_Rings_Olinordered__semidom(v22) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & ( ~ c_Orderings_Oord__class_Oless__eq(v22, v28, v21) | ~ c_Orderings_Oord__class_Oless__eq(v22, v28, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Ominus__class_Ominus(v24, v25, v26) = v27) | ~ (c_Polynomial_OpCons(v23, v22, v21) = v25) | ~ (c_Polynomial_OpCons(v23, v20, v19) = v26) | ~ (tc_Polynomial_Opoly(v23) = v24) | ~ class_Groups_Oab__group__add(v23) | ? [v28] : ? [v29] : (c_Groups_Ominus__class_Ominus(v24, v21, v19) = v29 & c_Groups_Ominus__class_Ominus(v23, v22, v20) = v28 & c_Polynomial_OpCons(v23, v28, v29) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Ominus__class_Ominus(v24, v21, v19) = v26) | ~ (c_Groups_Ominus__class_Ominus(v23, v22, v20) = v25) | ~ (c_Polynomial_OpCons(v23, v25, v26) = v27) | ~ (tc_Polynomial_Opoly(v23) = v24) | ~ class_Groups_Oab__group__add(v23) | ? [v28] : ? [v29] : (c_Groups_Ominus__class_Ominus(v24, v28, v29) = v27 & c_Polynomial_OpCons(v23, v22, v21) = v28 & c_Polynomial_OpCons(v23, v20, v19) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v25, v26) = v27) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_RealVector_Oreal__normed__algebra(v22) | ? [v28] : (c_Groups_Ominus__class_Ominus(v22, v20, v19) = v28 & hAPP(v24, v28) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v24, v26) = v27) | ~ (c_Polynomial_Ocoeff(v22, v21) = v23) | ~ (c_Polynomial_Ocoeff(v22, v20) = v25) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v19) = v24) | ~ class_Groups_Oab__group__add(v22) | ? [v28] : ? [v29] : ? [v30] : (c_Groups_Ominus__class_Ominus(v28, v21, v20) = v29 & c_Polynomial_Ocoeff(v22, v29) = v30 & tc_Polynomial_Opoly(v22) = v28 & hAPP(v30, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v24, v26) = v27) | ~ (c_Polynomial_Opoly(v22, v21) = v23) | ~ (c_Polynomial_Opoly(v22, v20) = v25) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Ocomm__ring(v22) | ? [v28] : ? [v29] : ? [v30] : (c_Groups_Ominus__class_Ominus(v28, v21, v20) = v29 & c_Polynomial_Opoly(v22, v29) = v30 & tc_Polynomial_Opoly(v22) = v28 & hAPP(v30, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Divides_Odiv__class_Omod(v22, v26, v20) = v27) | ~ (c_Divides_Odiv__class_Omod(v22, v21, v20) = v24) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v24) = v25) | ~ class_Divides_Osemiring__div(v22) | ? [v28] : ? [v29] : (c_Divides_Odiv__class_Omod(v22, v29, v20) = v27 & hAPP(v28, v19) = v29 & hAPP(v23, v21) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Divides_Odiv__class_Omod(v22, v26, v20) = v27) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v25) = v26) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v20) = v24) | ~ class_Divides_Osemiring__div(v22) | c_Divides_Odiv__class_Omod(v22, v21, v20) = v27) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Divides_Odiv__class_Omod(v22, v26, v19) = v27) | ~ (c_Divides_Odiv__class_Omod(v22, v21, v19) = v24) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v23, v24) = v25) | ~ class_Divides_Osemiring__div(v22) | ? [v28] : ? [v29] : (c_Divides_Odiv__class_Omod(v22, v29, v19) = v27 & hAPP(v28, v20) = v29 & hAPP(v23, v21) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Divides_Odiv__class_Omod(v22, v26, v19) = v27) | ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v25) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Divides_Osemiring__div(v22) | ? [v28] : (c_Divides_Odiv__class_Omod(v22, v28, v19) = v27 & hAPP(v24, v20) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Divides_Odiv__class_Omod(v22, v26, v19) = v27) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v25) = v26) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v20) = v24) | ~ class_Divides_Osemiring__div(v22) | c_Divides_Odiv__class_Omod(v22, v21, v19) = v27) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Divides_Odiv__class_Omod(v22, v25, v26) = v27) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Divides_Osemiring__div(v22) | ? [v28] : (c_Divides_Odiv__class_Omod(v22, v20, v19) = v28 & hAPP(v24, v28) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Rings_Oinverse__class_Oinverse(v24, v23) = v26) | ~ (c_Polynomial_Osmult(v24, v26, v20) = v27) | ~ (c_Polynomial_Osmult(v24, v23, v21) = v25) | ~ c_Polynomial_Opdivmod__rel(v24, v22, v21, v20, v19) | ~ class_Fields_Ofield(v24) | c_Groups_Ozero__class_Ozero(v24) = v23 | c_Polynomial_Opdivmod__rel(v24, v22, v25, v27, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower_Opower(v23, v22, v21) = v24) | ~ (c_Nat_OSuc(v19) = v26) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v24, v20) = v25) | ? [v28] : ? [v29] : (hAPP(v28, v29) = v27 & hAPP(v25, v19) = v29 & hAPP(v21, v20) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Polynomial_Ocoeff(v22, v21) = v23) | ~ (c_Polynomial_Ocoeff(v22, v20) = v25) | ~ (c_Groups_Oplus__class_Oplus(v22, v24, v26) = v27) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v19) = v24) | ~ class_Groups_Ocomm__monoid__add(v22) | ? [v28] : ? [v29] : ? [v30] : (c_Polynomial_Ocoeff(v22, v29) = v30 & c_Groups_Oplus__class_Oplus(v28, v21, v20) = v29 & tc_Polynomial_Opoly(v22) = v28 & hAPP(v30, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Polynomial_Ocoeff(v22, v20) = v25) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v28] : ? [v29] : (c_Polynomial_Ocoeff(v22, v28) = v29 & c_Polynomial_Osmult(v22, v21, v20) = v28 & hAPP(v29, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v23) = v24) | ~ (hAPP(v25, v21) = v26) | ~ (hAPP(v25, v19) = v27) | ~ (hAPP(v24, v22) = v25) | ~ c_Rings_Odvd__class_Odvd(v23, v26, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v21) | ~ class_Rings_Ocomm__semiring__1(v23) | c_Rings_Odvd__class_Odvd(v23, v27, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (c_Polynomial_Opoly(v22, v21) = v24) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v25) = v26) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Power_Opower__class_Opower(v28) = v29 & c_Polynomial_Opoly(v22, v31) = v32 & tc_Polynomial_Opoly(v22) = v28 & hAPP(v32, v19) = v27 & hAPP(v30, v20) = v31 & hAPP(v29, v21) = v30)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v19) = v26) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless(v22, v25, v27) | c_Orderings_Oord__class_Oless(v22, v21, v19) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & ~ c_Orderings_Oord__class_Oless__eq(v22, v28, v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Groups_Omonoid__mult(v22) | ? [v28] : ? [v29] : (hAPP(v28, v19) = v29 & hAPP(v24, v29) = v27 & hAPP(v1, v20) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v28] : ? [v29] : (hAPP(v28, v19) = v29 & hAPP(v24, v29) = v27 & hAPP(v1, v20) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v26) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Orderings_Oord__class_Oless(v22, v25, v27) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & ~ c_Orderings_Oord__class_Oless__eq(v22, v28, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v26) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | c_Orderings_Oord__class_Oless__eq(v22, v25, v27) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & ~ c_Orderings_Oord__class_Oless__eq(v22, v28, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v26) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v20) | ~ class_Rings_Ocomm__semiring__1(v22) | c_Rings_Odvd__class_Odvd(v22, v25, v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v1, v20) = v25) | ~ class_Groups_Omonoid__mult(v22) | ? [v28] : ? [v29] : (hAPP(v29, v19) = v27 & hAPP(v24, v20) = v28 & hAPP(v23, v28) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v1, v20) = v25) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v28] : ? [v29] : (hAPP(v29, v19) = v27 & hAPP(v24, v20) = v28 & hAPP(v23, v28) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v21) = v24) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v26) = v27) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | c_Orderings_Oord__class_Oless(v21, v27, v26) | ? [v28] : ? [v29] : (c_Groups_Oone__class_Oone(v21) = v29 & c_Groups_Ozero__class_Ozero(v21) = v28 & ( ~ c_Orderings_Oord__class_Oless(v21, v28, v20) | ~ c_Orderings_Oord__class_Oless(v21, v20, v29)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v21) = v24) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v26) = v27) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | ? [v28] : (c_Groups_Oone__class_Oone(v21) = v28 & ( ~ c_Orderings_Oord__class_Oless(v21, v28, v20) | c_Orderings_Oord__class_Oless(v21, v28, v27)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v21) = v24) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v26) = v27) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v28] : (c_Nat_OSuc(v19) = v28 & hAPP(v25, v28) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v21) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v26, v25) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v20) = v26) | ~ class_Groups_Omonoid__mult(v21) | ? [v28] : (hAPP(v28, v20) = v27 & hAPP(v22, v25) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v21) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v25) = v26) | ~ class_Groups_Omonoid__mult(v21) | ? [v28] : (hAPP(v28, v25) = v27 & hAPP(v22, v20) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v21) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v25) = v26) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v28] : (c_Nat_OSuc(v19) = v28 & hAPP(v24, v28) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (c_Groups_Otimes__class_Otimes(v21) = v25) | ~ (hAPP(v26, v24) = v27) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | c_Orderings_Oord__class_Oless(v21, v24, v27) | ? [v28] : (c_Groups_Oone__class_Oone(v21) = v28 & ~ c_Orderings_Oord__class_Oless(v21, v28, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (c_Groups_Otimes__class_Otimes(v21) = v24) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v19) = v25) | ~ (hAPP(v22, v20) = v23) | ~ class_Groups_Omonoid__mult(v21) | ? [v28] : (c_Nat_OSuc(v19) = v28 & hAPP(v23, v28) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (c_Groups_Otimes__class_Otimes(v21) = v24) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v19) = v26) | ~ (hAPP(v22, v20) = v23) | ~ class_Power_Opower(v21) | ? [v28] : (c_Nat_OSuc(v19) = v28 & hAPP(v23, v28) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (c_Groups_Otimes__class_Otimes(v21) = v24) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v19) = v26) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v28] : (c_Nat_OSuc(v19) = v28 & hAPP(v23, v28) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Polynomial_Opoly(v22, v21) = v23) | ~ (c_Polynomial_Opoly(v22, v20) = v25) | ~ (c_Groups_Oplus__class_Oplus(v22, v24, v26) = v27) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v28] : ? [v29] : ? [v30] : (c_Polynomial_Opoly(v22, v29) = v30 & c_Groups_Oplus__class_Oplus(v28, v21, v20) = v29 & tc_Polynomial_Opoly(v22) = v28 & hAPP(v30, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Polynomial_Opoly(v22, v20) = v25) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v28] : ? [v29] : (c_Polynomial_Opoly(v22, v28) = v29 & c_Polynomial_Osmult(v22, v21, v20) = v28 & hAPP(v29, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Polynomial_Osmult(v22, v21, v26) = v27) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v20) = v25) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v28] : ? [v29] : (c_Polynomial_Osmult(v22, v21, v20) = v28 & hAPP(v29, v19) = v27 & hAPP(v24, v28) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Polynomial_Osmult(v22, v21, v20) = v25) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v25) = v26) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v28] : ? [v29] : (c_Polynomial_Osmult(v22, v21, v29) = v27 & hAPP(v28, v19) = v29 & hAPP(v24, v20) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Polynomial_Osmult(v22, v20, v26) = v27) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v21) = v25) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v28] : (c_Polynomial_Osmult(v22, v20, v19) = v28 & hAPP(v25, v28) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Polynomial_Osmult(v22, v20, v19) = v26) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v24, v21) = v25) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v28] : (c_Polynomial_Osmult(v22, v20, v28) = v27 & hAPP(v25, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v21, v20) = v25) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v25) = v26) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Groups_Oplus__class_Oplus(v23, v29, v31) = v27 & hAPP(v30, v19) = v31 & hAPP(v28, v19) = v29 & hAPP(v24, v21) = v28 & hAPP(v24, v20) = v30)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Polynomial_OpCons(v22, v21, v20) = v25) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v25) = v26) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Polynomial_Osmult(v22, v21, v19) = v28 & c_Groups_Oplus__class_Oplus(v23, v28, v32) = v27 & c_Polynomial_OpCons(v22, v29, v31) = v32 & c_Groups_Ozero__class_Ozero(v22) = v29 & hAPP(v30, v19) = v31 & hAPP(v24, v20) = v30)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v23) = v24) | ~ (c_Polynomial_OpCons(v22, v20, v19) = v26) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v24, v21) = v25) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Polynomial_Osmult(v22, v20, v21) = v28 & c_Groups_Oplus__class_Oplus(v23, v28, v31) = v27 & c_Polynomial_OpCons(v22, v29, v30) = v31 & c_Groups_Ozero__class_Ozero(v22) = v29 & hAPP(v25, v19) = v30)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Polynomial_Osmult(v22, v21, v19) = v26) | ~ (c_Polynomial_OpCons(v22, v25, v26) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v28] : (c_Polynomial_Osmult(v22, v21, v28) = v27 & c_Polynomial_OpCons(v22, v20, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v26) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_RealVector_Oreal__normed__algebra(v22) | ? [v28] : (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v28 & hAPP(v24, v28) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v25, v26) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v28] : (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v28 & hAPP(v24, v28) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v19) = v26) | ~ class_Rings_Olinordered__semiring(v22) | ~ c_Orderings_Oord__class_Oless(v22, v25, v27) | c_Orderings_Oord__class_Oless(v22, v21, v19) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & ~ c_Orderings_Oord__class_Oless__eq(v22, v28, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v19) = v26) | ~ class_Rings_Olinordered__semiring__strict(v22) | ~ c_Orderings_Oord__class_Oless(v22, v25, v27) | c_Orderings_Oord__class_Oless(v22, v21, v19) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & ~ c_Orderings_Oord__class_Oless__eq(v22, v28, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v19) = v26) | ~ class_Rings_Olinordered__semiring__strict(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v25, v27) | c_Orderings_Oord__class_Oless__eq(v22, v21, v19) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & ~ c_Orderings_Oord__class_Oless(v22, v28, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v19) = v26) | ~ class_Rings_Olinordered__ring__strict(v22) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & ( ~ c_Orderings_Oord__class_Oless(v22, v25, v27) | (c_Orderings_Oord__class_Oless(v22, v28, v20) & c_Orderings_Oord__class_Oless(v22, v21, v19)) | (c_Orderings_Oord__class_Oless(v22, v20, v28) & c_Orderings_Oord__class_Oless(v22, v19, v21))) & (c_Orderings_Oord__class_Oless(v22, v25, v27) | (( ~ c_Orderings_Oord__class_Oless(v22, v28, v20) | ~ c_Orderings_Oord__class_Oless(v22, v21, v19)) & ( ~ c_Orderings_Oord__class_Oless(v22, v20, v28) | ~ c_Orderings_Oord__class_Oless(v22, v19, v21)))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v19) = v26) | ~ class_Rings_Oidom(v22) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & (v28 = v20 | ~ c_Rings_Odvd__class_Odvd(v22, v25, v27) | c_Rings_Odvd__class_Odvd(v22, v21, v19)) & (c_Rings_Odvd__class_Odvd(v22, v25, v27) | ( ~ (v28 = v20) & ~ c_Rings_Odvd__class_Odvd(v22, v21, v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v20) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v28] : ? [v29] : (hAPP(v29, v19) = v27 & hAPP(v24, v20) = v28 & hAPP(v23, v28) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Groups_Oab__semigroup__mult(v22) | ? [v28] : ? [v29] : (hAPP(v28, v19) = v29 & hAPP(v24, v29) = v27 & hAPP(v23, v20) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v28] : ? [v29] : (hAPP(v29, v20) = v27 & hAPP(v24, v19) = v28 & hAPP(v23, v28) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v28] : ? [v29] : (hAPP(v28, v19) = v29 & hAPP(v24, v29) = v27 & hAPP(v23, v20) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v21) = v26) | ~ (hAPP(v23, v20) = v24) | ~ class_Rings_Oordered__ring(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | c_Orderings_Oord__class_Oless__eq(v22, v25, v27) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & ~ c_Orderings_Oord__class_Oless__eq(v22, v19, v28))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v21) = v26) | ~ (hAPP(v23, v20) = v24) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | ~ class_Rings_Olinordered__ring__strict(v22) | c_Orderings_Oord__class_Oless(v22, v25, v27) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & ~ c_Orderings_Oord__class_Oless(v22, v19, v28))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v26) | ~ class_Rings_Oordered__semiring(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | c_Orderings_Oord__class_Oless__eq(v22, v25, v27) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & ~ c_Orderings_Oord__class_Oless__eq(v22, v28, v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v26, v19) = v27) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v26) | ~ class_Rings_Olinordered__semiring__strict(v22) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | c_Orderings_Oord__class_Oless(v22, v25, v27) | ? [v28] : (c_Groups_Ozero__class_Ozero(v22) = v28 & ~ c_Orderings_Oord__class_Oless(v22, v28, v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v25, v26) = v27) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v25) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v28] : (hAPP(v25, v19) = v28 & hAPP(v24, v28) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v25) | ~ class_Groups_Oab__semigroup__mult(v22) | ? [v28] : ? [v29] : (hAPP(v29, v19) = v27 & hAPP(v24, v20) = v28 & hAPP(v23, v28) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v25) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v28] : ? [v29] : (hAPP(v29, v19) = v27 & hAPP(v24, v20) = v28 & hAPP(v23, v28) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v24, v26) = v27) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v20) = v25) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v28] : (hAPP(v25, v28) = v27 & hAPP(v24, v19) = v28)) & ! [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, v19) = v26) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Rings_Olinordered__ring(v21) | ? [v28] : (c_Groups_Ozero__class_Ozero(v21) = v28 & c_Orderings_Oord__class_Oless__eq(v21, v28, v27))) & ! [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, v19) = v26) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Rings_Olinordered__ring(v21) | ? [v28] : (c_Groups_Ozero__class_Ozero(v21) = v28 & ~ c_Orderings_Oord__class_Oless(v21, v27, v28))) & ! [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, v19) = v26) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Rings_Olinordered__ring__strict(v21) | ? [v28] : (c_Groups_Ozero__class_Ozero(v21) = v28 & ( ~ (v28 = v27) | (v27 = v19 & v20 = v19)) & ( ~ (v28 = v19) | ~ (v20 = v19) | v27 = v19))) & ! [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, v19) = v26) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Rings_Olinordered__ring__strict(v21) | ? [v28] : (c_Groups_Ozero__class_Ozero(v21) = v28 & ( ~ (v28 = v19) | ~ (v20 = v19) | ~ c_Orderings_Oord__class_Oless(v21, v19, v27)) & (c_Orderings_Oord__class_Oless(v21, v28, v27) | (v28 = v19 & v20 = v19)))) & ! [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, v19) = v26) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Rings_Olinordered__ring__strict(v21) | ? [v28] : (c_Groups_Ozero__class_Ozero(v21) = v28 & ( ~ (v28 = v19) | ~ (v20 = v19) | c_Orderings_Oord__class_Oless__eq(v21, v27, v19)) & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v28) | (v28 = v19 & v20 = v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Polynomial_Osmult(v24, v19, v23) = v25) | ~ (c_Polynomial_Osmult(v24, v19, v21) = v26) | ~ (c_Polynomial_Osmult(v24, v19, v20) = v27) | ~ c_Polynomial_Opdivmod__rel(v24, v23, v22, v21, v20) | ~ class_Fields_Ofield(v24) | c_Polynomial_Opdivmod__rel(v24, v25, v22, v26, v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Polynomial_Osmult(v22, v19, v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v23, v25, v26) = v27) | ~ (c_Polynomial_OpCons(v22, v21, v24) = v26) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v22, v20, v19) = v24) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v28] : (c_Polynomial_OpCons(v22, v21, v20) = v28 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v22, v28, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Oplus__class_Oplus(v24, v25, v26) = v27) | ~ (c_Polynomial_OpCons(v23, v22, v21) = v25) | ~ (c_Polynomial_OpCons(v23, v20, v19) = v26) | ~ (tc_Polynomial_Opoly(v23) = v24) | ~ class_Groups_Ocomm__monoid__add(v23) | ? [v28] : ? [v29] : (c_Groups_Oplus__class_Oplus(v24, v21, v19) = v29 & c_Groups_Oplus__class_Oplus(v23, v22, v20) = v28 & c_Polynomial_OpCons(v23, v28, v29) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Oplus__class_Oplus(v24, v21, v19) = v26) | ~ (c_Groups_Oplus__class_Oplus(v23, v22, v20) = v25) | ~ (c_Polynomial_OpCons(v23, v25, v26) = v27) | ~ (tc_Polynomial_Opoly(v23) = v24) | ~ class_Groups_Ocomm__monoid__add(v23) | ? [v28] : ? [v29] : (c_Groups_Oplus__class_Oplus(v24, v28, v29) = v27 & c_Polynomial_OpCons(v23, v22, v21) = v28 & c_Polynomial_OpCons(v23, v20, v19) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ! [v27] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v26, v20) = v27) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v25) = v26) | ~ (hAPP(v24, v22) = v25) | ~ (hAPP(v6, v19) = v24) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v23, v22) | ? [v28] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v20) = v28 & ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v23, v28) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v23, v27)) & ( ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v23, v27) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v23, v28)))) & ! [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_Ouminus__class_Ouminus(v22, v21) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v22, v19) = v25) | ~ class_Divides_Oring__div(v22) | ? [v27] : ? [v28] : ( ~ (v28 = v27) & c_Divides_Odiv__class_Omod(v22, v21, v20) = v27 & c_Divides_Odiv__class_Omod(v22, v19, v20) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v26 = v21 | ~ (c_Polynomial_Opoly__gcd(v22, v20, v19) = v26) | ~ (c_Polynomial_Ocoeff(v22, v21) = v23) | ~ (c_Polynomial_Odegree(v22, v21) = v24) | ~ (hAPP(v23, v24) = v25) | ~ class_Fields_Ofield(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Groups_Oone__class_Oone(v22) = v30 & tc_Polynomial_Opoly(v22) = v27 & c_Groups_Ozero__class_Ozero(v27) = v28 & c_Groups_Ozero__class_Ozero(v22) = v29 & ( ~ c_Rings_Odvd__class_Odvd(v27, v21, v20) | ~ c_Rings_Odvd__class_Odvd(v27, v21, v19) | (v28 = v19 & v20 = v19 & ~ (v29 = v25)) | ( ~ (v30 = v25) & ( ~ (v28 = v19) | ~ (v20 = v19))) | (c_Rings_Odvd__class_Odvd(v27, v31, v20) & c_Rings_Odvd__class_Odvd(v27, v31, v19) & ~ c_Rings_Odvd__class_Odvd(v27, v31, v21))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v21 = v19 | ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v26, v20) = v25) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ (hAPP(v23, v19) = v26) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ( ~ c_Orderings_Oord__class_Oless__eq(v22, v27, v21) | ~ c_Orderings_Oord__class_Oless__eq(v22, v27, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : (v20 = v19 | ~ (c_Polynomial_Ocoeff(v21, v20) = v22) | ~ (c_Polynomial_Ocoeff(v21, v19) = v25) | ~ (c_Polynomial_Odegree(v21, v20) = v23) | ~ (c_Polynomial_Odegree(v21, v19) = v26) | ~ (hAPP(v25, v26) = v24) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Oidom(v21) | ? [v27] : (tc_Polynomial_Opoly(v21) = v27 & ( ~ c_Rings_Odvd__class_Odvd(v27, v20, v19) | ~ c_Rings_Odvd__class_Odvd(v27, v19, v20)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(v24, v21, v20) = v25) | ~ (tc_fun(v22, v23) = v24) | ~ (hAPP(v25, v19) = v26) | ~ class_Groups_Ominus(v23) | ? [v27] : ? [v28] : (c_Groups_Ominus__class_Ominus(v23, v27, v28) = v26 & hAPP(v21, v19) = v27 & hAPP(v20, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(v23, v24, v25) = v26) | ~ (c_Polynomial_Omonom(v22, v21, v20) = v24) | ~ (c_Polynomial_Omonom(v22, v19, v20) = v25) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Groups_Oab__group__add(v22) | ? [v27] : (c_Groups_Ominus__class_Ominus(v22, v21, v19) = v27 & c_Polynomial_Omonom(v22, v27, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(v23, v24, v25) = v26) | ~ (c_Polynomial_Osmult(v22, v21, v19) = v24) | ~ (c_Polynomial_Osmult(v22, v20, v19) = v25) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Rings_Ocomm__ring(v22) | ? [v27] : (c_Groups_Ominus__class_Ominus(v22, v21, v20) = v27 & c_Polynomial_Osmult(v22, v27, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(v23, v21, v20) = v24) | ~ (c_Polynomial_Ocoeff(v22, v24) = v25) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ class_Groups_Oab__group__add(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Ominus__class_Ominus(v22, v28, v30) = v26 & c_Polynomial_Ocoeff(v22, v21) = v27 & c_Polynomial_Ocoeff(v22, v20) = v29 & hAPP(v29, v19) = v30 & hAPP(v27, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(v23, v21, v20) = v24) | ~ (c_Polynomial_Opoly(v22, v24) = v25) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ class_Rings_Ocomm__ring(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Ominus__class_Ominus(v22, v28, v30) = v26 & c_Polynomial_Opoly(v22, v21) = v27 & c_Polynomial_Opoly(v22, v20) = v29 & hAPP(v29, v19) = v30 & hAPP(v27, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v23, v24) = v25) | ~ (c_Divides_Odiv__class_Omod(v22, v25, v19) = v26) | ~ (c_Divides_Odiv__class_Omod(v22, v21, v19) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v24) | ~ class_Divides_Oring__div(v22) | ? [v27] : (c_Groups_Ominus__class_Ominus(v22, v21, v20) = v27 & c_Divides_Odiv__class_Omod(v22, v27, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v21, v20) = v24) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v24) = v25) | ~ class_RealVector_Oreal__normed__algebra(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Ominus__class_Ominus(v22, v28, v30) = v26 & hAPP(v29, v19) = v30 & hAPP(v27, v19) = v28 & hAPP(v23, v21) = v27 & hAPP(v23, v20) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v20, v19) = v25) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_RealVector_Oreal__normed__algebra(v22) | ? [v27] : ? [v28] : (c_Groups_Ominus__class_Ominus(v22, v27, v28) = v26 & hAPP(v24, v20) = v27 & hAPP(v24, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(v20, v19, v22) = v25) | ~ (c_Groups_Oone__class_Oone(v20) = v22) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v22) = v23) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v21, v23) = v24) | ~ class_Rings_Oring__1(v20) | ? [v27] : ? [v28] : (c_Groups_Ominus__class_Ominus(v20, v28, v22) = v26 & hAPP(v27, v19) = v28 & hAPP(v21, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v23, v25) = v26) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v20) = v24) | ? [v27] : ? [v28] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v20) = v27 & hAPP(v28, v19) = v26 & hAPP(v1, v27) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v24, v23, v22) = v25) | ~ (c_Divides_Odiv__class_Omod(v24, v21, v22) = v25) | ~ (c_Divides_Odiv__class_Omod(v24, v20, v22) = v26) | ~ (c_Divides_Odiv__class_Omod(v24, v19, v22) = v26) | ~ class_Divides_Oring__div(v24) | ? [v27] : ? [v28] : ? [v29] : (c_Groups_Ominus__class_Ominus(v24, v23, v20) = v27 & c_Groups_Ominus__class_Ominus(v24, v21, v19) = v29 & c_Divides_Odiv__class_Omod(v24, v29, v22) = v28 & c_Divides_Odiv__class_Omod(v24, v27, v22) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v24, v23, v22) = v25) | ~ (c_Divides_Odiv__class_Omod(v24, v21, v22) = v25) | ~ (c_Divides_Odiv__class_Omod(v24, v20, v22) = v26) | ~ (c_Divides_Odiv__class_Omod(v24, v19, v22) = v26) | ~ class_Divides_Osemiring__div(v24) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : (c_Divides_Odiv__class_Omod(v24, v32, v22) = v30 & c_Divides_Odiv__class_Omod(v24, v29, v22) = v30 & c_Groups_Otimes__class_Otimes(v24) = v27 & hAPP(v31, v19) = v32 & hAPP(v28, v20) = v29 & hAPP(v27, v23) = v28 & hAPP(v27, v21) = v31)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v24, v23, v22) = v25) | ~ (c_Divides_Odiv__class_Omod(v24, v21, v22) = v25) | ~ (c_Divides_Odiv__class_Omod(v24, v20, v22) = v26) | ~ (c_Divides_Odiv__class_Omod(v24, v19, v22) = v26) | ~ class_Divides_Osemiring__div(v24) | ? [v27] : ? [v28] : ? [v29] : (c_Divides_Odiv__class_Omod(v24, v29, v22) = v28 & c_Divides_Odiv__class_Omod(v24, v27, v22) = v28 & c_Groups_Oplus__class_Oplus(v24, v23, v20) = v27 & c_Groups_Oplus__class_Oplus(v24, v21, v19) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v22, v25, v20) = v26) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v21) = v24) | ~ class_Divides_Osemiring__div(v22) | ? [v27] : ? [v28] : ? [v29] : (c_Divides_Odiv__class_Omod(v22, v29, v20) = v26 & c_Divides_Odiv__class_Omod(v22, v21, v20) = v27 & hAPP(v28, v19) = v29 & hAPP(v23, v27) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v22, v25, v19) = v26) | ~ (c_Divides_Odiv__class_Omod(v22, v21, v19) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v23, v24) = v25) | ~ class_Divides_Osemiring__div(v22) | ? [v27] : (c_Divides_Odiv__class_Omod(v22, v27, v19) = v26 & c_Groups_Oplus__class_Oplus(v22, v21, v20) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v22, v25, v19) = v26) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ class_Divides_Osemiring__div(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Divides_Odiv__class_Omod(v22, v30, v19) = v26 & c_Divides_Odiv__class_Omod(v22, v21, v19) = v27 & c_Divides_Odiv__class_Omod(v22, v20, v19) = v29 & hAPP(v28, v29) = v30 & hAPP(v23, v27) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v22, v25, v19) = v26) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ class_Divides_Osemiring__div(v22) | ? [v27] : ? [v28] : ? [v29] : (c_Divides_Odiv__class_Omod(v22, v29, v19) = v26 & c_Divides_Odiv__class_Omod(v22, v21, v19) = v27 & hAPP(v28, v20) = v29 & hAPP(v23, v27) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v22, v25, v19) = v26) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ class_Divides_Osemiring__div(v22) | ? [v27] : ? [v28] : (c_Divides_Odiv__class_Omod(v22, v28, v19) = v26 & c_Divides_Odiv__class_Omod(v22, v20, v19) = v27 & hAPP(v24, v27) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v22, v21, v19) = v24) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v23, v24) = v25) | ~ class_Divides_Osemiring__div(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Divides_Odiv__class_Omod(v22, v28, v30) = v26 & hAPP(v29, v20) = v30 & hAPP(v27, v20) = v28 & hAPP(v23, v21) = v27 & hAPP(v23, v19) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v25) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Divides_Osemiring__div(v22) | ? [v27] : ? [v28] : (c_Divides_Odiv__class_Omod(v22, v27, v28) = v26 & hAPP(v24, v20) = v27 & hAPP(v24, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v25, v20) = v26) | ~ (c_Nat_OSuc(v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v1, v21) = v22) | ? [v27] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v27, v20) = v26 & c_Nat_OSuc(v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v23, v25) = v26) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v20) = v24) | ? [v27] : ? [v28] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v21, v20) = v27 & hAPP(v28, v19) = v26 & hAPP(v1, v27) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v25) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Odivision__ring(v21) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Rings_Oinverse__class_Oinverse(v21, v29) = v30 & c_Groups_Ozero__class_Ozero(v21) = v27 & hAPP(v28, v19) = v29 & hAPP(v22, v20) = v28 & (v30 = v26 | v27 = v20 | v27 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v23) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v25) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v22, v23) = v24) | ~ class_Fields_Ofield__inverse__zero(v21) | ? [v27] : ? [v28] : (c_Rings_Oinverse__class_Oinverse(v21, v28) = v26 & hAPP(v27, v19) = v28 & hAPP(v22, v20) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Nat_OSuc(v19) = v25) | ~ (c_Polynomial_Ocoeff(v22, v23) = v24) | ~ (c_Polynomial_OpCons(v22, v21, v20) = v23) | ~ (hAPP(v24, v25) = v26) | ~ class_Groups_Ozero(v22) | ? [v27] : (c_Polynomial_Ocoeff(v22, v20) = v27 & hAPP(v27, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Ocoeff(v22, v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v23, v21, v20) = v24) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ class_Groups_Ocomm__monoid__add(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Polynomial_Ocoeff(v22, v21) = v27 & c_Polynomial_Ocoeff(v22, v20) = v29 & c_Groups_Oplus__class_Oplus(v22, v28, v30) = v26 & hAPP(v29, v19) = v30 & hAPP(v27, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (c_Polynomial_Odegree(v21, v25) = v26) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v20) = v24) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v27] : ? [v28] : ? [v29] : (c_Polynomial_Odegree(v21, v20) = v27 & hAPP(v28, v19) = v29 & hAPP(v1, v27) = v28 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v26, v29))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v25) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Groups_Omonoid__mult(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Otimes__class_Otimes(v22) = v27 & hAPP(v29, v30) = v26 & hAPP(v27, v28) = v29 & hAPP(v24, v20) = v28 & hAPP(v24, v19) = v30)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v25) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Otimes__class_Otimes(v22) = v27 & hAPP(v29, v30) = v26 & hAPP(v27, v28) = v29 & hAPP(v24, v20) = v28 & hAPP(v24, v19) = v30)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v24, v21) = v26) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless(v22, v25, v26) | ? [v27] : ? [v28] : (c_Groups_Oone__class_Oone(v22) = v28 & c_Groups_Ozero__class_Ozero(v22) = v27 & ( ~ c_Orderings_Oord__class_Oless(v22, v27, v19) | ~ c_Orderings_Oord__class_Oless(v22, v19, v28)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v24, v21) = v26) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless__eq(v22, v25, v26) | ? [v27] : ? [v28] : (c_Groups_Oone__class_Oone(v22) = v28 & c_Groups_Ozero__class_Ozero(v22) = v27 & ( ~ c_Orderings_Oord__class_Oless__eq(v22, v27, v19) | ~ c_Orderings_Oord__class_Oless__eq(v22, v19, v28)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v24, v20) = v26) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless(v22, v25, v26) | ? [v27] : (c_Groups_Oone__class_Oone(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v27, v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v24, v20) = v26) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless__eq(v22, v25, v26) | ? [v27] : (c_Groups_Oone__class_Oone(v22) = v27 & ~ c_Orderings_Oord__class_Oless__eq(v22, v27, v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v24, v20) = v26) | ~ (hAPP(v23, v19) = v24) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ~ class_Rings_Ocomm__semiring__1(v22) | c_Rings_Odvd__class_Odvd(v22, v25, v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless(v22, v25, v26) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | ? [v27] : (c_Groups_Oone__class_Oone(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v27, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(v22, v25, v26) | ? [v27] : (c_Groups_Oone__class_Oone(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v27, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v25, v26) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | ? [v27] : (c_Groups_Oone__class_Oone(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v27, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(v22, v25, v26) | ? [v27] : (c_Groups_Oone__class_Oone(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v27, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v25) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Oring(v21) | ? [v27] : (hAPP(v27, v19) = v26 & hAPP(v22, v20) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Omonom(v22, v25, v19) = v26) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v27] : (c_Polynomial_Omonom(v22, v20, v19) = v27 & c_Polynomial_Osmult(v22, v21, v27) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Omonom(v22, v21, v20) = v24) | ~ (c_Polynomial_Omonom(v22, v19, v20) = v25) | ~ (c_Groups_Oplus__class_Oplus(v23, v24, v25) = v26) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Groups_Ocomm__monoid__add(v22) | ? [v27] : (c_Polynomial_Omonom(v22, v27, v20) = v26 & c_Groups_Oplus__class_Oplus(v22, v21, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Odegree(v21, v25) = v26) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v20) = v24) | ~ class_Rings_Oidom(v21) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Polynomial_Odegree(v21, v20) = v28 & c_Polynomial_Odegree(v21, v19) = v29 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v28, v29) = v30 & c_Groups_Ozero__class_Ozero(v22) = v27 & (v30 = v26 | v27 = v20 | v27 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Odegree(v21, v25) = v26) | ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v20) = v24) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v27] : ? [v28] : ? [v29] : (c_Polynomial_Odegree(v21, v20) = v27 & c_Polynomial_Odegree(v21, v19) = v28 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v27, v28) = v29 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v26, v29))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oone__class_Oone(v21) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v23) = v24) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v22, v24) = v25) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v21, v28, v19) = v26 & hAPP(v27, v19) = v28 & hAPP(v22, v20) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oone__class_Oone(v21) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v23) = v24) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v22, v24) = v25) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v21, v20, v28) = v26 & hAPP(v27, v20) = v28 & hAPP(v22, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (tc_fun(v22, v23) = v24) | ~ (hAPP(v21, v19) = v25) | ~ (hAPP(v20, v19) = v26) | ~ class_Orderings_Oord(v23) | ~ c_Orderings_Oord__class_Oless__eq(v24, v21, v20) | c_Orderings_Oord__class_Oless__eq(v23, v25, v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Opoly(v23, v22) = v25) | ~ (c_Polynomial_OpCons(v23, v19, v20) = v24) | ~ (hAPP(v25, v21) = v26) | ~ class_Rings_Ocomm__semiring__0(v23) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Polynomial_Osynthetic__div(v23, v22, v21) = v30 & c_Polynomial_Osmult(v23, v21, v20) = v28 & c_Groups_Oplus__class_Oplus(v27, v22, v28) = v29 & tc_Polynomial_Opoly(v23) = v27 & ( ~ (v29 = v24) | (v30 = v20 & v26 = v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Opoly(v22, v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v23, v21, v20) = v24) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (hAPP(v25, v19) = v26) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Polynomial_Opoly(v22, v21) = v27 & c_Polynomial_Opoly(v22, v20) = v29 & c_Groups_Oplus__class_Oplus(v22, v28, v30) = v26 & hAPP(v29, v19) = v30 & hAPP(v27, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Opoly(v22, v21) = v23) | ~ (c_Polynomial_Opoly(v22, v20) = v24) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v25) = v26) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v27] : ? [v28] : (c_Polynomial_Opoly(v22, v27) = v28 & c_Polynomial_Opcompose(v22, v21, v20) = v27 & hAPP(v28, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Polynomial_Osmult(v22, v25, v19) = v26) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v27] : (c_Polynomial_Osmult(v22, v21, v27) = v26 & c_Polynomial_Osmult(v22, v20, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v24) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v24) = v25) | ~ class_Rings_Ocomm__semiring(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v22, v28, v30) = v26 & hAPP(v29, v19) = v30 & hAPP(v27, v19) = v28 & hAPP(v23, v21) = v27 & hAPP(v23, v20) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v24) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v24) = v25) | ~ class_RealVector_Oreal__normed__algebra(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v22, v28, v30) = v26 & hAPP(v29, v19) = v30 & hAPP(v27, v19) = v28 & hAPP(v23, v21) = v27 & hAPP(v23, v20) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v24) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v24) = v25) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v22, v28, v30) = v26 & hAPP(v29, v19) = v30 & hAPP(v27, v19) = v28 & hAPP(v23, v21) = v27 & hAPP(v23, v20) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v24) | ~ (hAPP(v25, v20) = v26) | ~ (hAPP(v23, v24) = v25) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Oplus__class_Oplus(v22, v28, v30) = v26 & hAPP(v29, v20) = v30 & hAPP(v27, v20) = v28 & hAPP(v23, v21) = v27 & hAPP(v23, v19) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v25) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_RealVector_Oreal__normed__algebra(v22) | ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v22, v27, v28) = v26 & hAPP(v24, v20) = v27 & hAPP(v24, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v25) | ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v22, v27, v28) = v26 & hAPP(v24, v20) = v27 & hAPP(v24, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v21) = v26) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Oordered__ring(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | c_Orderings_Oord__class_Oless__eq(v22, v25, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless__eq(v22, v19, v27))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v21) = v26) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v19) = v24) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | ~ class_Rings_Olinordered__ring__strict(v22) | c_Orderings_Oord__class_Oless(v22, v25, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v19, v27))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v24, v20) = v26) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Oordered__comm__semiring(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | c_Orderings_Oord__class_Oless__eq(v22, v25, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless__eq(v22, v27, v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v24, v20) = v26) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Oordered__semiring(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | c_Orderings_Oord__class_Oless__eq(v22, v25, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless__eq(v22, v27, v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v24, v20) = v26) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Olinordered__comm__semiring__strict(v22) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | c_Orderings_Oord__class_Oless(v22, v25, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v27, v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v24, v20) = v26) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Olinordered__semiring__strict(v22) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | c_Orderings_Oord__class_Oless(v22, v25, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v27, v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Olinordered__semiring(v22) | ~ c_Orderings_Oord__class_Oless(v22, v25, v26) | c_Orderings_Oord__class_Oless(v22, v20, v19) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless__eq(v22, v27, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Olinordered__semiring__strict(v22) | ~ c_Orderings_Oord__class_Oless(v22, v25, v26) | c_Orderings_Oord__class_Oless(v22, v20, v19) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless__eq(v22, v27, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Olinordered__semiring__strict(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v25, v26) | c_Orderings_Oord__class_Oless__eq(v22, v20, v19) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v27, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ c_Orderings_Oord__class_Oless(v22, v25, v26) | ~ class_Rings_Olinordered__ring__strict(v22) | c_Orderings_Oord__class_Oless(v22, v20, v19) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v27, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ c_Orderings_Oord__class_Oless(v22, v25, v26) | ~ class_Rings_Olinordered__ring__strict(v22) | c_Orderings_Oord__class_Oless(v22, v19, v20) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v21, v27))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ c_Orderings_Oord__class_Oless(v22, v20, v19) | ~ class_Rings_Olinordered__ring__strict(v22) | c_Orderings_Oord__class_Oless(v22, v25, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v27, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ c_Orderings_Oord__class_Oless(v22, v19, v20) | ~ class_Rings_Olinordered__ring__strict(v22) | c_Orderings_Oord__class_Oless(v22, v25, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v21, v27))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ c_Orderings_Oord__class_Oless__eq(v22, v25, v26) | ~ class_Rings_Olinordered__ring__strict(v22) | c_Orderings_Oord__class_Oless__eq(v22, v20, v19) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v27, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ c_Orderings_Oord__class_Oless__eq(v22, v25, v26) | ~ class_Rings_Olinordered__ring__strict(v22) | c_Orderings_Oord__class_Oless__eq(v22, v19, v20) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v21, v27))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ c_Orderings_Oord__class_Oless__eq(v22, v20, v19) | ~ class_Rings_Olinordered__ring__strict(v22) | c_Orderings_Oord__class_Oless__eq(v22, v25, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v27, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ c_Orderings_Oord__class_Oless__eq(v22, v19, v20) | ~ class_Rings_Olinordered__ring__strict(v22) | c_Orderings_Oord__class_Oless__eq(v22, v25, v26) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ~ c_Orderings_Oord__class_Oless(v22, v21, v27))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Olinordered__ring__strict(v22) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & ( ~ c_Orderings_Oord__class_Oless(v22, v25, v26) | (c_Orderings_Oord__class_Oless(v22, v27, v21) & c_Orderings_Oord__class_Oless(v22, v20, v19)) | (c_Orderings_Oord__class_Oless(v22, v21, v27) & c_Orderings_Oord__class_Oless(v22, v19, v20))) & (c_Orderings_Oord__class_Oless(v22, v25, v26) | (( ~ c_Orderings_Oord__class_Oless(v22, v27, v21) | ~ c_Orderings_Oord__class_Oless(v22, v20, v19)) & ( ~ c_Orderings_Oord__class_Oless(v22, v21, v27) | ~ c_Orderings_Oord__class_Oless(v22, v19, v20)))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v26) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Oidom(v22) | ? [v27] : (c_Groups_Ozero__class_Ozero(v22) = v27 & (v27 = v21 | ~ c_Rings_Odvd__class_Odvd(v22, v25, v26) | c_Rings_Odvd__class_Odvd(v22, v20, v19)) & (c_Rings_Odvd__class_Odvd(v22, v25, v26) | ( ~ (v27 = v21) & ~ c_Rings_Odvd__class_Odvd(v22, v20, v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ class_Rings_Oidom(v21) | ? [v27] : (c_Groups_Ouminus__class_Ouminus(v21, v19) = v27 & ( ~ (v26 = v24) | v27 = v20 | v20 = v19) & (v26 = v24 | ( ~ (v27 = v20) & ~ (v20 = v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Opoly__rec(v23, v24, v22, v21, v25) = v26) | ~ (c_Polynomial_OpCons(v24, v20, v19) = v25) | ~ class_Groups_Ozero(v24) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_fequal(v19, v30) = v31 & c_If(v23, v31, v22, v32) = v33 & c_Polynomial_Opoly__rec(v23, v24, v22, v21, v19) = v32 & tc_Polynomial_Opoly(v24) = v29 & c_Groups_Ozero__class_Ozero(v29) = v30 & hAPP(v28, v33) = v26 & hAPP(v27, v19) = v28 & hAPP(v21, v20) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Opoly__rec(v21, v24, v22, v23, v25) = v26) | ~ (c_Polynomial_OpCons(v24, v20, v19) = v25) | ~ class_Groups_Ozero(v24) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : (c_Polynomial_Opoly__rec(v21, v24, v22, v23, v19) = v35 & tc_Polynomial_Opoly(v24) = v29 & c_Groups_Ozero__class_Ozero(v29) = v30 & c_Groups_Ozero__class_Ozero(v24) = v27 & hAPP(v34, v35) = v36 & hAPP(v33, v19) = v34 & hAPP(v31, v22) = v32 & hAPP(v28, v30) = v31 & hAPP(v23, v27) = v28 & hAPP(v23, v20) = v33 & ( ~ (v32 = v22) | v36 = v26))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Osmult(v23, v21, v20) = v25) | ~ (c_Groups_Oplus__class_Oplus(v24, v22, v25) = v26) | ~ (c_Polynomial_OpCons(v23, v19, v20) = v26) | ~ (tc_Polynomial_Opoly(v23) = v24) | ~ class_Rings_Ocomm__semiring__0(v23) | ? [v27] : (c_Polynomial_Osynthetic__div(v23, v22, v21) = v20 & c_Polynomial_Opoly(v23, v22) = v27 & hAPP(v27, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Osmult(v22, v21, v20) = v24) | ~ (c_Polynomial_Osmult(v22, v21, v19) = v25) | ~ (c_Groups_Oplus__class_Oplus(v23, v24, v25) = v26) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v27] : (c_Polynomial_Osmult(v22, v21, v27) = v26 & c_Groups_Oplus__class_Oplus(v23, v20, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Osmult(v22, v21, v20) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v24, v25) = v26) | ~ (c_Polynomial_OpCons(v22, v19, v20) = v25) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v27] : (c_Groups_Ozero__class_Ozero(v23) = v27 & ( ~ (v27 = v26) | v26 = v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Polynomial_Osmult(v22, v21, v19) = v24) | ~ (c_Polynomial_Osmult(v22, v20, v19) = v25) | ~ (c_Groups_Oplus__class_Oplus(v23, v24, v25) = v26) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v27] : (c_Polynomial_Osmult(v22, v27, v19) = v26 & c_Groups_Oplus__class_Oplus(v22, v21, v20) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oplus__class_Oplus(v23, v24, v25) = v26) | ~ (c_Groups_Oplus__class_Oplus(v23, v22, v21) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v20, v19) = v25) | ~ class_Rings_Ocomm__semiring__1(v23) | ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v23, v27, v28) = v26 & c_Groups_Oplus__class_Oplus(v23, v22, v20) = v27 & c_Groups_Oplus__class_Oplus(v23, v21, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oplus__class_Oplus(v23, v24, v25) = v26) | ~ (c_Groups_Oplus__class_Oplus(v23, v22, v20) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v21, v19) = v25) | ~ class_Rings_Ocomm__semiring__1(v23) | ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(v23, v27, v28) = v26 & c_Groups_Oplus__class_Oplus(v23, v22, v21) = v27 & c_Groups_Oplus__class_Oplus(v23, v20, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v23) = v25) | ~ (hAPP(v22, v21) = v23) | ~ (hAPP(v20, v25) = v26) | ~ (hAPP(v6, v19) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v19) | hBOOL(v26) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ((c_Groups_Oplus__class_Oplus(tc_Int_Oint, v27, v21) = v29 & hAPP(v20, v29) = v30 & hAPP(v20, v27) = v28 & hBOOL(v28) & ~ hBOOL(v30)) | (hAPP(v20, v24) = v27 & ~ hBOOL(v27)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v23, v25) = v26) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v6, v21) = v22) | ~ (hAPP(v6, v20) = v24) | ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v20) = v27 & hAPP(v28, v19) = v26 & hAPP(v6, v27) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v25, v19) = v26) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v20) = v23) | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v1, v23) = v24) | ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v30, v19) = v31 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v28, v31) = v26 & hAPP(v29, v21) = v30 & hAPP(v27, v21) = v28 & hAPP(v1, v22) = v27 & hAPP(v1, v20) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v23, v25) = v26) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v20) = v24) | ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v27 & hAPP(v28, v19) = v26 & hAPP(v1, v27) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (hAPP(v25, v19) = v26) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v1, v22) = v23) | ~ (hAPP(v1, v21) = v25) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v24, v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ! [v26] : ( ~ (hAPP(v24, v25) = v26) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v25) | ~ (hAPP(v6, v23) = v24) | ~ (hAPP(v5, v21) = v22) | ? [v27] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v27 & hAPP(v22, v27) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v24 | ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v19) = v25) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | ? [v26] : (c_Groups_Oone__class_Oone(v21) = v26 & ~ c_Orderings_Oord__class_Oless(v21, v26, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v24 | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v24) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Ocomm__semiring__0(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v24 | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Lattices_Oab__semigroup__idem__mult(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v24 | ~ (c_Polynomial_OpCons(v21, v20, v23) = v24) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v22) = v23) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v21, v24, v19) = v25) | ~ class_Rings_Ocomm__semiring__0(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v23 | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v23) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Ocomm__semiring__0(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v22 | ~ (c_Nat_OSuc(v19) = v24) | ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v20) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v21, v22) = v23) | ~ class_Power_Opower(v20) | ~ class_Rings_Osemiring__0(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v20 | ~ (c_Polynomial_Opoly__rec(v19, v22, v20, v21, v24) = v25) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ (c_Groups_Ozero__class_Ozero(v23) = v24) | ~ class_Groups_Ozero(v22) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ( ~ (v29 = v20) & c_Groups_Ozero__class_Ozero(v22) = v26 & hAPP(v28, v20) = v29 & hAPP(v27, v24) = v28 & hAPP(v21, v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v25 = v19 | ~ (c_Divides_Odiv__class_Omod(v24, v22, v21) = v25) | ~ (tc_Polynomial_Opoly(v23) = v24) | ~ c_Polynomial_Opdivmod__rel(v23, v22, v21, v20, v19) | ~ class_Fields_Ofield(v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v22 = v20 | ~ c_Polynomial_Opdivmod__rel(v25, v24, v23, v22, v21) | ~ c_Polynomial_Opdivmod__rel(v25, v24, v23, v20, v19) | ~ class_Fields_Ofield(v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v21 = v20 | ~ (c_Polynomial_Ocoeff(v22, v23) = v24) | ~ (c_Polynomial_Omonom(v22, v19, v21) = v23) | ~ (hAPP(v24, v20) = v25) | ~ class_Groups_Ozero(v22) | c_Groups_Ozero__class_Ozero(v22) = v25) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v21 = v19 | ~ c_Polynomial_Opdivmod__rel(v25, v24, v23, v22, v21) | ~ c_Polynomial_Opdivmod__rel(v25, v24, v23, v20, v19) | ~ class_Fields_Ofield(v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v21 = v0 | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v22, v21) = v23) | ~ (hAPP(v7, v20) = v22) | ~ (hAPP(v7, v19) = v24) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v23, v25) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v21 = v0 | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v22, v21) = v23) | ~ (hAPP(v7, v20) = v22) | ~ (hAPP(v7, v19) = v24) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v23, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v21 = v0 | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v22, v21) = v23) | ~ (hAPP(v5, v20) = v22) | ~ (hAPP(v5, v19) = v24) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v23, v25) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v21 = v0 | ~ (hAPP(v24, v21) = v25) | ~ (hAPP(v22, v21) = v23) | ~ (hAPP(v5, v20) = v22) | ~ (hAPP(v5, v19) = v24) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v20, v19) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v23, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v20 = v19 | ~ (c_Power_Opower__class_Opower(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v21) = v24) | ~ class_Rings_Olinordered__semidom(v22) | ? [v26] : (c_Groups_Oone__class_Oone(v22) = v26 & ~ c_Orderings_Oord__class_Oless(v22, v26, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v20 = v19 | ~ (c_Polynomial_Opoly__rec(v25, v24, v23, v22, v21) = v20) | ~ (c_Polynomial_Opoly__rec(v25, v24, v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v20 = v0 | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v7, v21) = v22) | ~ (hAPP(v7, v19) = v24) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v23, v25) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : (v20 = v0 | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v5, v21) = v22) | ~ (hAPP(v5, v19) = v24) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v23, v25) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v23, v20) = v24) | ~ (c_Divides_Odiv__class_Omod(v22, v24, v19) = v25) | ~ (c_Divides_Odiv__class_Omod(v22, v21, v19) = v23) | ~ class_Divides_Oring__div(v22) | ? [v26] : (c_Groups_Ominus__class_Ominus(v22, v21, v20) = v26 & c_Divides_Odiv__class_Omod(v22, v26, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v21, v23) = v24) | ~ (c_Divides_Odiv__class_Omod(v22, v24, v19) = v25) | ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v23) | ~ class_Divides_Oring__div(v22) | ? [v26] : (c_Groups_Ominus__class_Ominus(v22, v21, v20) = v26 & c_Divides_Odiv__class_Omod(v22, v26, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ominus__class_Ominus(v20, v23, v24) = v25) | ~ (c_Groups_Oone__class_Oone(v20) = v24) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Oring__1(v20) | ? [v26] : ? [v27] : ? [v28] : (c_Groups_Ominus__class_Ominus(v20, v19, v24) = v28 & c_Groups_Oplus__class_Oplus(v20, v19, v24) = v26 & hAPP(v27, v28) = v25 & hAPP(v21, v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v23, v24) = v25) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v20) = v23) | ~ (c_Nat_OSuc(v21) = v22) | ~ (c_Nat_OSuc(v19) = v24) | ? [v26] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v26, v19) = v25 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ? [v26] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v26 & hAPP(v22, v26) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v23, v24, v19) = v25) | ~ (c_Polynomial_Osmult(v22, v21, v20) = v24) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Fields_Ofield(v22) | ? [v26] : (c_Divides_Odiv__class_Omod(v23, v20, v19) = v26 & c_Polynomial_Osmult(v22, v21, v26) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v23, v20, v24) = v25) | ~ (c_Polynomial_Osmult(v22, v21, v19) = v24) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Fields_Ofield(v22) | ? [v26] : ? [v27] : (c_Divides_Odiv__class_Omod(v23, v20, v19) = v27 & c_Groups_Ozero__class_Ozero(v22) = v26 & (v27 = v25 | v26 = v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v23, v20, v19) = v24) | ~ (c_Polynomial_Osmult(v22, v21, v24) = v25) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Fields_Ofield(v22) | ? [v26] : (c_Divides_Odiv__class_Omod(v23, v26, v19) = v25 & c_Polynomial_Osmult(v22, v21, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v22, v24, v20) = v25) | ~ (c_Divides_Odiv__class_Omod(v22, v21, v20) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v22, v19) = v24) | ~ class_Divides_Oring__div(v22) | ? [v26] : ? [v27] : ? [v28] : (c_Divides_Odiv__class_Omod(v22, v27, v20) = v28 & c_Divides_Odiv__class_Omod(v22, v19, v20) = v26 & c_Groups_Ouminus__class_Ouminus(v22, v21) = v27 & ( ~ (v26 = v23) | v28 = v25))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v22, v24, v20) = v25) | ~ (c_Divides_Odiv__class_Omod(v22, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v23, v19) = v24) | ~ class_Divides_Osemiring__div(v22) | ? [v26] : (c_Divides_Odiv__class_Omod(v22, v26, v20) = v25 & c_Groups_Oplus__class_Oplus(v22, v21, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v22, v24, v20) = v25) | ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v22, v21) = v24) | ~ class_Divides_Oring__div(v22) | ? [v26] : ? [v27] : ? [v28] : (c_Divides_Odiv__class_Omod(v22, v27, v20) = v28 & c_Divides_Odiv__class_Omod(v22, v21, v20) = v26 & c_Groups_Ouminus__class_Ouminus(v22, v19) = v27 & ( ~ (v26 = v23) | v28 = v25))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v22, v24, v19) = v25) | ~ (c_Divides_Odiv__class_Omod(v22, v21, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v23, v20) = v24) | ~ class_Divides_Osemiring__div(v22) | ? [v26] : (c_Divides_Odiv__class_Omod(v22, v26, v19) = v25 & c_Groups_Oplus__class_Oplus(v22, v21, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v22, v24, v19) = v25) | ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v23) = v24) | ~ class_Divides_Osemiring__div(v22) | ? [v26] : (c_Divides_Odiv__class_Omod(v22, v26, v19) = v25 & c_Groups_Oplus__class_Oplus(v22, v21, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v21, v24, v20) = v25) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Divides_Osemiring__div(v21) | c_Groups_Ozero__class_Ozero(v21) = v25) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(v21, v24, v19) = v25) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Divides_Osemiring__div(v21) | c_Groups_Ozero__class_Ozero(v21) = v25) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v24, v20) = v25) | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v21, v20) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v5, v22) = v23) | ? [v26] : ? [v27] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v27, v20) = v25 & hAPP(v26, v19) = v27 & hAPP(v5, v21) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v24, v19) = v25) | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v6, v21) = v22) | ? [v26] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v26, v19) = v25 & hAPP(v22, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v24, v20) = v25) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v1, v21) = v22) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v20) = v25) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ? [v26] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v26 & hAPP(v22, v26) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v24) = v25) | ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Odivision__ring(v21) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Rings_Oinverse__class_Oinverse(v21, v20) = v27 & c_Groups_Ozero__class_Ozero(v21) = v26 & hAPP(v28, v19) = v29 & hAPP(v22, v27) = v28 & (v29 = v25 | v26 = v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v24) = v25) | ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Odivision__ring__inverse__zero(v21) | ? [v26] : ? [v27] : (c_Rings_Oinverse__class_Oinverse(v21, v20) = v26 & hAPP(v27, v19) = v25 & hAPP(v22, v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v24) = v25) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Fields_Ofield__inverse__zero(v21) | ? [v26] : ? [v27] : ? [v28] : (c_Rings_Oinverse__class_Oinverse(v21, v20) = v26 & c_Rings_Oinverse__class_Oinverse(v21, v19) = v28 & hAPP(v27, v28) = v25 & hAPP(v22, v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v24) = v25) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Odivision__ring(v21) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Rings_Oinverse__class_Oinverse(v21, v20) = v29 & c_Rings_Oinverse__class_Oinverse(v21, v19) = v27 & c_Groups_Ozero__class_Ozero(v21) = v26 & hAPP(v28, v29) = v30 & hAPP(v22, v27) = v28 & (v30 = v25 | v26 = v20 | v26 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v23) | ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Odivision__ring(v21) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Rings_Oinverse__class_Oinverse(v21, v28) = v29 & c_Groups_Ozero__class_Ozero(v21) = v26 & hAPP(v27, v19) = v28 & hAPP(v22, v20) = v27 & (v29 = v25 | v26 = v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v23) | ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Odivision__ring__inverse__zero(v21) | ? [v26] : ? [v27] : (c_Rings_Oinverse__class_Oinverse(v21, v27) = v25 & hAPP(v26, v19) = v27 & hAPP(v22, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v23) = v24) | ~ (c_Polynomial_Ocoeff(v20, v19) = v21) | ~ (c_Polynomial_Odegree(v20, v19) = v22) | ~ (c_Polynomial_Osmult(v20, v24, v19) = v25) | ~ (hAPP(v21, v22) = v23) | ~ class_Fields_Ofield(v20) | ? [v26] : ? [v27] : (c_Polynomial_Opoly__gcd(v20, v19, v27) = v25 & tc_Polynomial_Opoly(v20) = v26 & c_Groups_Ozero__class_Ozero(v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Opoly__gcd(v21, v20, v19) = v22) | ~ (c_Polynomial_Ocoeff(v21, v22) = v23) | ~ (c_Polynomial_Odegree(v21, v22) = v24) | ~ (hAPP(v23, v24) = v25) | ~ class_Fields_Ofield(v21) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Groups_Oone__class_Oone(v21) = v29 & tc_Polynomial_Opoly(v21) = v26 & c_Groups_Ozero__class_Ozero(v26) = v27 & c_Groups_Ozero__class_Ozero(v21) = v28 & ( ~ (v27 = v19) | ~ (v20 = v19) | v28 = v25) & (v29 = v25 | (v27 = v19 & v20 = v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Nat_OSuc(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v23, v19) = v25) | ~ (hAPP(v1, v22) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v24, v25) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Nat_OSuc(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v23, v19) = v25) | ~ (hAPP(v1, v22) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v24, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Nat_OSuc(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v23, v19) = v25) | ~ (hAPP(v1, v22) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v24, v25) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Nat_OSuc(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v23, v19) = v25) | ~ (hAPP(v1, v22) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v24, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Nat_OSuc(v19) = v24) | ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ class_Power_Opower(v21) | ? [v26] : ? [v27] : ? [v28] : (c_Groups_Otimes__class_Otimes(v21) = v26 & hAPP(v27, v28) = v25 & hAPP(v26, v20) = v27 & hAPP(v23, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Nat_OSuc(v19) = v24) | ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ class_Groups_Omonoid__mult(v21) | ? [v26] : ? [v27] : ? [v28] : (c_Groups_Otimes__class_Otimes(v21) = v26 & hAPP(v28, v20) = v25 & hAPP(v26, v27) = v28 & hAPP(v23, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Nat_OSuc(v19) = v24) | ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | c_Orderings_Oord__class_Oless__eq(v21, v25, v20) | ? [v26] : ? [v27] : (c_Groups_Oone__class_Oone(v21) = v27 & c_Groups_Ozero__class_Ozero(v21) = v26 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v26, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v27)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Nat_OSuc(v19) = v24) | ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | ? [v26] : ? [v27] : (c_Groups_Oone__class_Oone(v21) = v27 & c_Groups_Ozero__class_Ozero(v21) = v26 & ( ~ c_Orderings_Oord__class_Oless(v21, v26, v20) | ~ c_Orderings_Oord__class_Oless(v21, v20, v27) | c_Orderings_Oord__class_Oless(v21, v25, v27)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Nat_OSuc(v19) = v24) | ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | ? [v26] : (c_Groups_Oone__class_Oone(v21) = v26 & ( ~ c_Orderings_Oord__class_Oless(v21, v26, v20) | c_Orderings_Oord__class_Oless(v21, v26, v25)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Nat_OSuc(v19) = v24) | ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v26] : ? [v27] : ? [v28] : (c_Groups_Otimes__class_Otimes(v21) = v26 & hAPP(v28, v20) = v25 & hAPP(v26, v27) = v28 & hAPP(v23, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Nat_OSuc(v19) = v24) | ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v26] : ? [v27] : ? [v28] : (c_Groups_Otimes__class_Otimes(v21) = v26 & hAPP(v27, v28) = v25 & hAPP(v26, v20) = v27 & hAPP(v23, v19) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Ocoeff(v22, v23) = v24) | ~ (c_Polynomial_Osmult(v22, v21, v20) = v23) | ~ (hAPP(v24, v19) = v25) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Polynomial_Ocoeff(v22, v20) = v28 & c_Groups_Otimes__class_Otimes(v22) = v26 & hAPP(v28, v19) = v29 & hAPP(v27, v29) = v25 & hAPP(v26, v21) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Ocoeff(v21, v23) = v24) | ~ (c_Groups_Ouminus__class_Ouminus(v22, v20) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (hAPP(v24, v19) = v25) | ~ class_Groups_Oab__group__add(v21) | ? [v26] : ? [v27] : (c_Polynomial_Ocoeff(v21, v20) = v26 & c_Groups_Ouminus__class_Ouminus(v21, v27) = v25 & hAPP(v26, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Oring__1(v21) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : (c_Groups_Ouminus__class_Ouminus(v21, v27) = v28 & c_Groups_Oone__class_Oone(v21) = v27 & c_Groups_Otimes__class_Otimes(v21) = v26 & hAPP(v32, v19) = v33 & hAPP(v31, v33) = v25 & hAPP(v29, v19) = v30 & hAPP(v26, v30) = v31 & hAPP(v22, v28) = v29 & hAPP(v22, v20) = v32)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v23, v20) = v24) | ~ (tc_fun(v21, v22) = v23) | ~ (hAPP(v24, v19) = v25) | ~ class_Groups_Ouminus(v22) | ? [v26] : (c_Groups_Ouminus__class_Ouminus(v22, v26) = v25 & hAPP(v20, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v22, v20) = v23) | ~ (c_Polynomial_Opoly(v21, v23) = v24) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (hAPP(v24, v19) = v25) | ~ class_Rings_Ocomm__ring(v21) | ? [v26] : ? [v27] : (c_Groups_Ouminus__class_Ouminus(v21, v27) = v25 & c_Polynomial_Opoly(v21, v20) = v26 & hAPP(v26, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v22, v19) = v24) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Polynomial_OpCons(v21, v23, v24) = v25) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Groups_Oab__group__add(v21) | ? [v26] : (c_Groups_Ouminus__class_Ouminus(v22, v26) = v25 & c_Polynomial_OpCons(v21, v20, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v24) = v25) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oring(v21) | ? [v26] : ? [v27] : (c_Groups_Ouminus__class_Ouminus(v21, v20) = v26 & hAPP(v27, v19) = v25 & hAPP(v22, v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v24) = v25) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oring(v21) | ? [v26] : (c_Groups_Ouminus__class_Ouminus(v21, v19) = v26 & hAPP(v23, v26) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v24) = v25) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_RealVector_Oreal__normed__algebra(v21) | ? [v26] : ? [v27] : (c_Groups_Ouminus__class_Ouminus(v21, v20) = v26 & hAPP(v27, v19) = v25 & hAPP(v22, v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v24) = v25) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_RealVector_Oreal__normed__algebra(v21) | ? [v26] : (c_Groups_Ouminus__class_Ouminus(v21, v19) = v26 & hAPP(v23, v26) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Oring(v21) | ? [v26] : ? [v27] : (c_Groups_Ouminus__class_Ouminus(v21, v27) = v25 & hAPP(v26, v19) = v27 & hAPP(v22, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Oring(v21) | ? [v26] : ? [v27] : (c_Groups_Ouminus__class_Ouminus(v21, v19) = v27 & hAPP(v26, v27) = v25 & hAPP(v22, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v23) = v24) | ~ class_RealVector_Oreal__normed__algebra(v21) | ? [v26] : ? [v27] : (c_Groups_Ouminus__class_Ouminus(v21, v27) = v25 & hAPP(v26, v19) = v27 & hAPP(v22, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v25) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oidom(v21) | ? [v26] : ? [v27] : (hAPP(v26, v19) = v27 & hAPP(v22, v19) = v26 & ( ~ (v27 = v24) | v25 = v20 | v20 = v19) & (v27 = v24 | ( ~ (v25 = v20) & ~ (v20 = v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v24) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oring(v21) | ? [v26] : ? [v27] : (c_Groups_Ouminus__class_Ouminus(v21, v20) = v26 & hAPP(v27, v19) = v25 & hAPP(v22, v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v24) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oring(v21) | ? [v26] : (c_Groups_Ouminus__class_Ouminus(v21, v26) = v25 & hAPP(v23, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v24) | ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ class_RealVector_Oreal__normed__algebra(v21) | ? [v26] : (c_Groups_Ouminus__class_Ouminus(v21, v26) = v25 & hAPP(v23, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v22) = v23) | ~ (c_Groups_Oone__class_Oone(v20) = v22) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v21, v23) = v24) | ~ class_Rings_Ocomm__ring__1(v20) | c_Groups_Ouminus__class_Ouminus(v20, v19) = v25) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Omonom(v22, v21, v20) = v23) | ~ (c_Polynomial_Opoly(v22, v23) = v24) | ~ (hAPP(v24, v19) = v25) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Power_Opower__class_Opower(v22) = v28 & c_Groups_Otimes__class_Otimes(v22) = v26 & hAPP(v29, v20) = v30 & hAPP(v28, v19) = v29 & hAPP(v27, v30) = v25 & hAPP(v26, v21) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Odegree(v21, v20) = v22) | ~ (c_Polynomial_Odegree(v21, v19) = v24) | ~ (hAPP(v23, v24) = v25) | ~ (hAPP(v1, v22) = v23) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v26] : ? [v27] : (c_Polynomial_Odegree(v21, v26) = v27 & c_Polynomial_Opcompose(v21, v20, v19) = v26 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v27, v25))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oone__class_Oone(v20) = v22) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v22, v22) = v23) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v21, v23) = v24) | ~ class_Rings_Ocomm__semiring__1(v20) | c_Groups_Oplus__class_Oplus(v20, v19, v19) = v25) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (tc_fun(v21, v22) = v23) | ~ (hAPP(v20, v24) = v25) | ~ class_Orderings_Oord(v22) | ~ c_Orderings_Oord__class_Oless__eq(v23, v20, v19) | ? [v26] : (hAPP(v19, v24) = v26 & c_Orderings_Oord__class_Oless__eq(v22, v25, v26))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (tc_fun(v21, v22) = v23) | ~ (hAPP(v19, v24) = v25) | ~ class_Orderings_Oord(v22) | ~ c_Orderings_Oord__class_Oless__eq(v23, v20, v19) | ? [v26] : (hAPP(v20, v24) = v26 & c_Orderings_Oord__class_Oless__eq(v22, v26, v25))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Osynthetic__div(v23, v22, v21) = v25) | ~ (c_Polynomial_OpCons(v23, v19, v20) = v24) | ~ class_Rings_Ocomm__semiring__0(v23) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Polynomial_Opoly(v23, v22) = v29 & c_Polynomial_Osmult(v23, v21, v20) = v27 & c_Groups_Oplus__class_Oplus(v26, v22, v27) = v28 & tc_Polynomial_Opoly(v23) = v26 & hAPP(v29, v21) = v30 & ( ~ (v28 = v24) | (v30 = v19 & v25 = v20)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Osynthetic__div(v21, v20, v19) = v23) | ~ (c_Polynomial_Osmult(v21, v19, v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v20, v24) = v25) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v26] : ? [v27] : (c_Polynomial_Opoly(v21, v20) = v26 & c_Polynomial_OpCons(v21, v27, v23) = v25 & hAPP(v26, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Osynthetic__div(v21, v20, v19) = v22) | ~ (c_Polynomial_Opoly(v21, v20) = v23) | ~ (c_Polynomial_OpCons(v21, v24, v22) = v25) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v26] : ? [v27] : (c_Polynomial_Osmult(v21, v19, v22) = v27 & c_Groups_Oplus__class_Oplus(v26, v20, v27) = v25 & tc_Polynomial_Opoly(v21) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Opoly(v22, v23) = v24) | ~ (c_Polynomial_Opcompose(v22, v21, v20) = v23) | ~ (hAPP(v24, v19) = v25) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v26] : ? [v27] : ? [v28] : (c_Polynomial_Opoly(v22, v21) = v26 & c_Polynomial_Opoly(v22, v20) = v27 & hAPP(v27, v19) = v28 & hAPP(v26, v28) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Opoly(v22, v23) = v24) | ~ (c_Polynomial_Osmult(v22, v21, v20) = v23) | ~ (hAPP(v24, v19) = v25) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Polynomial_Opoly(v22, v20) = v28 & c_Groups_Otimes__class_Otimes(v22) = v26 & hAPP(v28, v19) = v29 & hAPP(v27, v29) = v25 & hAPP(v26, v21) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Opoly(v22, v23) = v24) | ~ (c_Polynomial_OpCons(v22, v21, v20) = v23) | ~ (hAPP(v24, v19) = v25) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Polynomial_Opoly(v22, v20) = v28 & c_Groups_Otimes__class_Otimes(v22) = v26 & c_Groups_Oplus__class_Oplus(v22, v21, v30) = v25 & hAPP(v28, v19) = v29 & hAPP(v27, v29) = v30 & hAPP(v26, v19) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Opoly(v22, v23) = v24) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v22, v21, v20) = v23) | ~ (hAPP(v24, v19) = v25) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v26] : ? [v27] : (c_Polynomial_Opoly(v22, v21) = v26 & c_Groups_Oplus__class_Oplus(v22, v20, v19) = v27 & hAPP(v26, v27) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Opoly(v22, v21) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v24) | ~ (hAPP(v23, v24) = v25) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v26] : ? [v27] : (c_Polynomial_Opoly(v22, v26) = v27 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v22, v21, v20) = v26 & hAPP(v27, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v20) = v24) | ~ c_Polynomial_Opos__poly(v21, v20) | ~ c_Polynomial_Opos__poly(v21, v19) | ~ class_Rings_Olinordered__idom(v21) | c_Polynomial_Opos__poly(v21, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ c_Rings_Odvd__class_Odvd(v22, v25, v19) | ~ class_Rings_Ocomm__semiring__1(v22) | c_Rings_Odvd__class_Odvd(v22, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v21) = v24) | ~ c_Rings_Odvd__class_Odvd(v22, v25, v19) | ~ class_Rings_Ocomm__semiring__1(v22) | c_Rings_Odvd__class_Odvd(v22, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v23, v19) = v24) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v20) | ~ class_Rings_Ocomm__semiring__1(v22) | c_Rings_Odvd__class_Odvd(v22, v21, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v23, v20) = v24) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v20) | ~ class_Rings_Ocomm__semiring__1(v22) | c_Rings_Odvd__class_Odvd(v22, v21, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v24, v19) = v25) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oone__class_Oone(v21) = v26 & c_Groups_Oplus__class_Oplus(v21, v20, v26) = v27 & hAPP(v28, v19) = v25 & hAPP(v22, v27) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v24) = v25) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oone__class_Oone(v21) = v26 & c_Groups_Oplus__class_Oplus(v21, v19, v26) = v27 & hAPP(v28, v20) = v25 & hAPP(v22, v27) = v28)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Osmult(v22, v21, v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v23, v20, v19) = v24) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v26] : ? [v27] : (c_Polynomial_Osmult(v22, v21, v20) = v26 & c_Polynomial_Osmult(v22, v21, v19) = v27 & c_Groups_Oplus__class_Oplus(v23, v26, v27) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oplus__class_Oplus(v23, v22, v20) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v21, v19) = v25) | ~ class_Groups_Oordered__ab__semigroup__add(v23) | ~ c_Orderings_Oord__class_Oless__eq(v23, v22, v21) | ~ c_Orderings_Oord__class_Oless__eq(v23, v20, v19) | c_Orderings_Oord__class_Oless__eq(v23, v24, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oplus__class_Oplus(v23, v22, v20) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v21, v19) = v25) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v23) | ~ c_Orderings_Oord__class_Oless(v23, v22, v21) | ~ c_Orderings_Oord__class_Oless(v23, v20, v19) | c_Orderings_Oord__class_Oless(v23, v24, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oplus__class_Oplus(v23, v22, v20) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v21, v19) = v25) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v23) | ~ c_Orderings_Oord__class_Oless(v23, v22, v21) | ~ c_Orderings_Oord__class_Oless__eq(v23, v20, v19) | c_Orderings_Oord__class_Oless(v23, v24, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oplus__class_Oplus(v23, v22, v20) = v24) | ~ (c_Groups_Oplus__class_Oplus(v23, v21, v19) = v25) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v23) | ~ c_Orderings_Oord__class_Oless(v23, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(v23, v22, v21) | c_Orderings_Oord__class_Oless(v23, v24, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v6, v21) = v22) | ? [v26] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v26 & hAPP(v22, v26) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v23, v24) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ? [v26] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v26 & hAPP(v22, v26) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v19) = v24) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v25) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v19) = v24) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v25) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v19) = v24) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v19) = v24) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v25) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v19) = v24) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v24, v20) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v19) = v24) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v6, v23) = v24) | ~ (hAPP(v6, v21) = v22) | ? [v26] : ? [v27] : (hAPP(v26, v19) = v27 & hAPP(v22, v27) = v25 & hAPP(v6, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v5, v23) = v24) | ~ (hAPP(v5, v21) = v22) | ? [v26] : ? [v27] : (hAPP(v26, v19) = v27 & hAPP(v22, v27) = v25 & hAPP(v1, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v1, v23) = v24) | ~ (hAPP(v1, v21) = v22) | ? [v26] : ? [v27] : (hAPP(v26, v19) = v27 & hAPP(v22, v27) = v25 & hAPP(v1, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v20) = v24) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v24, v19) = v25) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v20) = v24) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v6, v21) = v22) | ~ (hAPP(v6, v20) = v23) | ? [v26] : ? [v27] : (hAPP(v27, v19) = v25 & hAPP(v22, v20) = v26 & hAPP(v6, v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v5, v21) = v22) | ~ (hAPP(v1, v20) = v23) | ? [v26] : ? [v27] : (hAPP(v27, v19) = v25 & hAPP(v22, v20) = v26 & hAPP(v5, v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v24) = v25) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v20) = v23) | ? [v26] : ? [v27] : (hAPP(v27, v19) = v25 & hAPP(v22, v20) = v26 & hAPP(v1, v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (hAPP(v22, v21) = v23) | ~ (hAPP(v20, v24) = v25) | ~ (hAPP(v6, v19) = v22) | ~ hBOOL(v25) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v19) | ? [v26] : ? [v27] : ? [v28] : ? [v29] : ((c_Groups_Oplus__class_Oplus(tc_Int_Oint, v26, v21) = v28 & hAPP(v20, v28) = v29 & hAPP(v20, v26) = v27 & hBOOL(v27) & ~ hBOOL(v29)) | (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v23) = v26 & hAPP(v20, v26) = v27 & hBOOL(v27)))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Odegree(v22, v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v23, v21, v20) = v24) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Groups_Ocomm__monoid__add(v22) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v25, v19) | ? [v26] : ? [v27] : (c_Polynomial_Odegree(v22, v21) = v26 & c_Polynomial_Odegree(v22, v20) = v27 & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v27, v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v26, v19)))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ! [v25] : ( ~ (c_Polynomial_Odegree(v22, v24) = v25) | ~ (c_Groups_Oplus__class_Oplus(v23, v21, v20) = v24) | ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Groups_Ocomm__monoid__add(v22) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v25, v19) | ? [v26] : ? [v27] : (c_Polynomial_Odegree(v22, v21) = v26 & c_Polynomial_Odegree(v22, v20) = v27 & ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v27, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v26, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v23 | ~ (c_Nat_OSuc(v20) = v21) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v1, v21) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v23 | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v20) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Omult__zero(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v23 | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v20) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_RealVector_Oreal__normed__algebra(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v23 | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v20) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v22 | v19 = v0 | ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v20) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Power_Opower(v20) | ~ class_Rings_Osemiring__0(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v22 | ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (c_Groups_Oone__class_Oone(v20) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Groups_Omonoid__mult(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v22 | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v20) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Rings_Omult__zero(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v22 | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v20) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_RealVector_Oreal__normed__algebra(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v22 | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v20) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Rings_Ocomm__semiring__1(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v22 | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v21, v20) = v22) | ~ (hAPP(v1, v19) = v23) | ~ (hAPP(v1, v19) = v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v22 | ~ (hAPP(v23, v0) = v24) | ~ (hAPP(v21, v0) = v22) | ~ (hAPP(v1, v20) = v21) | ~ (hAPP(v1, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v19 | ~ (c_Polynomial_Ocoeff(v21, v22) = v23) | ~ (c_Polynomial_Omonom(v21, v19, v20) = v22) | ~ (hAPP(v23, v20) = v24) | ~ class_Groups_Ozero(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v19 | ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v22, v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v23) | ~ class_Groups_Ogroup__add(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v19 | ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v22, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v23) = v24) | ~ class_Groups_Ogroup__add(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v19 | ~ (c_Groups_Oone__class_Oone(v20) = v23) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Groups_Ocomm__monoid__mult(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v19 | ~ (c_Groups_Oone__class_Oone(v20) = v23) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Groups_Omonoid__mult(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v19 | ~ (c_Groups_Oone__class_Oone(v20) = v23) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v19 | ~ (c_Groups_Oone__class_Oone(v20) = v22) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Groups_Ocomm__monoid__mult(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v19 | ~ (c_Groups_Oone__class_Oone(v20) = v22) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Groups_Omonoid__mult(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v19 | ~ (c_Groups_Oone__class_Oone(v20) = v22) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Rings_Ocomm__semiring__1(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v24 = v0 | ~ (c_Polynomial_Odegree(v20, v23) = v24) | ~ (c_Polynomial_OpCons(v20, v19, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ class_Groups_Ozero(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v22 = v20 | ~ (c_Polynomial_OpCons(v23, v22, v21) = v24) | ~ (c_Polynomial_OpCons(v23, v20, v19) = v24) | ~ class_Groups_Ozero(v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = v19 | v20 = v0 | ~ (hAPP(v24, v20) = v23) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v1, v21) = v22) | ~ (hAPP(v1, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = v19 | ~ (c_Polynomial_OpCons(v23, v22, v21) = v24) | ~ (c_Polynomial_OpCons(v23, v20, v19) = v24) | ~ class_Groups_Ozero(v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = v9 | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v6, v21) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v23, v24) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = v9 | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v6, v21) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v20, v19) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v21 = v0 | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v23, v24) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v20 = v19 | ~ (c_Nat_OSuc(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v1, v22) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : (v20 = v19 | ~ (c_If(v24, v23, v22, v21) = v20) | ~ (c_If(v24, v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(v23, v22, v21) = v24) | ~ (c_Groups_Ominus__class_Ominus(v23, v20, v19) = v24) | ~ class_Groups_Oordered__ab__group__add(v23) | ~ c_Orderings_Oord__class_Oless(v23, v22, v21) | c_Orderings_Oord__class_Oless(v23, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(v23, v22, v21) = v24) | ~ (c_Groups_Ominus__class_Ominus(v23, v20, v19) = v24) | ~ class_Groups_Oordered__ab__group__add(v23) | ~ c_Orderings_Oord__class_Oless(v23, v20, v19) | c_Orderings_Oord__class_Oless(v23, v22, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(v23, v22, v21) = v24) | ~ (c_Groups_Ominus__class_Ominus(v23, v20, v19) = v24) | ~ class_Groups_Oordered__ab__group__add(v23) | ~ c_Orderings_Oord__class_Oless__eq(v23, v22, v21) | c_Orderings_Oord__class_Oless__eq(v23, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(v23, v22, v21) = v24) | ~ (c_Groups_Ominus__class_Ominus(v23, v20, v19) = v24) | ~ class_Groups_Oordered__ab__group__add(v23) | ~ c_Orderings_Oord__class_Oless__eq(v23, v20, v19) | c_Orderings_Oord__class_Oless__eq(v23, v22, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v21, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v23, v19) = v24) | ~ class_Divides_Oring__div(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Groups_Ominus__class_Ominus(v22, v25, v26) = v27 & c_Divides_Odiv__class_Omod(v22, v27, v19) = v24 & c_Divides_Odiv__class_Omod(v22, v21, v19) = v25 & c_Divides_Odiv__class_Omod(v22, v20, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v21, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v23, v19) = v24) | ~ class_Divides_Oring__div(v22) | ? [v25] : ? [v26] : (c_Groups_Ominus__class_Ominus(v22, v25, v20) = v26 & c_Divides_Odiv__class_Omod(v22, v26, v19) = v24 & c_Divides_Odiv__class_Omod(v22, v21, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v21, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v23, v19) = v24) | ~ class_Divides_Oring__div(v22) | ? [v25] : ? [v26] : (c_Groups_Ominus__class_Ominus(v22, v21, v25) = v26 & c_Divides_Odiv__class_Omod(v22, v26, v19) = v24 & c_Divides_Odiv__class_Omod(v22, v20, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v21, v20) = v23) | ~ (c_Polynomial_Osmult(v22, v23, v19) = v24) | ~ class_Rings_Ocomm__ring(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Groups_Ominus__class_Ominus(v25, v26, v27) = v24 & c_Polynomial_Osmult(v22, v21, v19) = v26 & c_Polynomial_Osmult(v22, v20, v19) = v27 & tc_Polynomial_Opoly(v22) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v21, v19) = v23) | ~ (c_Polynomial_Omonom(v22, v23, v20) = v24) | ~ class_Groups_Oab__group__add(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Groups_Ominus__class_Ominus(v25, v26, v27) = v24 & c_Polynomial_Omonom(v22, v21, v20) = v26 & c_Polynomial_Omonom(v22, v19, v20) = v27 & tc_Polynomial_Opoly(v22) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v22, v23) = v24) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v23) | ~ class_Rings_Odivision__ring(v21) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Groups_Ominus__class_Ominus(v21, v19, v20) = v28 & c_Groups_Otimes__class_Otimes(v21) = v26 & c_Groups_Ozero__class_Ozero(v21) = v25 & hAPP(v30, v23) = v31 & hAPP(v27, v28) = v29 & hAPP(v26, v29) = v30 & hAPP(v26, v22) = v27 & (v31 = v24 | v25 = v20 | v25 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v23) = v24) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v21) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v23) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v23) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v19) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v20) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v1, v22) = v23) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v26, v28) = v24 & hAPP(v27, v19) = v28 & hAPP(v25, v19) = v26 & hAPP(v1, v21) = v25 & hAPP(v1, v20) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v1, v21) = v22) | ? [v25] : ? [v26] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v25, v26) = v24 & hAPP(v22, v20) = v25 & hAPP(v22, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v23, v21) = v24) | ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ class_Divides_Osemiring__div(v22) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v20) | c_Divides_Odiv__class_Omod(v22, v19, v21) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v23, v20) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v23) | ~ class_Divides_Osemiring__div(v22) | ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(v22, v26, v20) = v24 & c_Divides_Odiv__class_Omod(v22, v21, v20) = v25 & c_Groups_Oplus__class_Oplus(v22, v25, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v23, v19) = v24) | ~ (c_Groups_Ouminus__class_Ouminus(v22, v20) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Fields_Ofield(v21) | ? [v25] : (c_Divides_Odiv__class_Omod(v22, v20, v19) = v25 & c_Groups_Ouminus__class_Ouminus(v22, v25) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v23, v19) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ class_Divides_Osemiring__div(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Divides_Odiv__class_Omod(v22, v27, v19) = v24 & c_Divides_Odiv__class_Omod(v22, v21, v19) = v25 & c_Divides_Odiv__class_Omod(v22, v20, v19) = v26 & c_Groups_Oplus__class_Oplus(v22, v25, v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v23, v19) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ class_Divides_Osemiring__div(v22) | ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(v22, v26, v19) = v24 & c_Divides_Odiv__class_Omod(v22, v21, v19) = v25 & c_Groups_Oplus__class_Oplus(v22, v25, v20) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v23, v19) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ class_Divides_Osemiring__div(v22) | ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(v22, v26, v19) = v24 & c_Divides_Odiv__class_Omod(v22, v20, v19) = v25 & c_Groups_Oplus__class_Oplus(v22, v21, v25) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v20, v23) = v24) | ~ (c_Groups_Ouminus__class_Ouminus(v22, v19) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Fields_Ofield(v21) | c_Divides_Odiv__class_Omod(v22, v20, v19) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v22, v23) = v24) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Fields_Ofield(v21) | ? [v25] : (c_Divides_Odiv__class_Omod(v22, v25, v19) = v24 & c_Groups_Ouminus__class_Ouminus(v22, v20) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ (c_Polynomial_Opoly__gcd(v21, v20, v23) = v24) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Fields_Ofield(v21) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Rings_Oinverse__class_Oinverse(v21, v29) = v30 & c_Polynomial_Opoly__gcd(v21, v19, v20) = v26 & c_Polynomial_Ocoeff(v21, v19) = v27 & c_Polynomial_Odegree(v21, v19) = v28 & c_Polynomial_Osmult(v21, v30, v19) = v31 & c_Groups_Ozero__class_Ozero(v22) = v25 & hAPP(v27, v28) = v29 & ( ~ (v25 = v20) | v31 = v26) & (v26 = v24 | v25 = v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ (c_Polynomial_Opoly__gcd(v21, v20, v23) = v24) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Fields_Ofield(v21) | ? [v25] : ? [v26] : (c_Polynomial_Opoly__gcd(v21, v19, v20) = v26 & c_Groups_Ozero__class_Ozero(v22) = v25 & (v26 = v24 | v25 = v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ (c_Polynomial_Odegree(v21, v23) = v24) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Fields_Ofield(v21) | ? [v25] : ? [v26] : (c_Polynomial_Odegree(v21, v20) = v26 & c_Groups_Ozero__class_Ozero(v22) = v25 & (v25 = v23 | v25 = v20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v24, v26)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(v21, v23, v19) = v24) | ~ (c_Divides_Odiv__class_Omod(v21, v20, v19) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v22) = v23) | ~ class_Divides_Oring__div(v21) | ? [v25] : (c_Divides_Odiv__class_Omod(v21, v25, v19) = v24 & c_Groups_Ouminus__class_Ouminus(v21, v20) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v23, v20) = v24) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v5, v21) = v22) | ? [v25] : ? [v26] : ? [v27] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v27, v20) = v24 & c_Divides_Odiv__class_Omod(tc_Int_Oint, v21, v20) = v25 & hAPP(v26, v19) = v27 & hAPP(v5, v25) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v6, v21) = v22) | ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v26, v19) = v24 & c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v25 & hAPP(v22, v25) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v21, v20) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v1, v22) = v23) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v26, v28) = v24 & hAPP(v27, v19) = v28 & hAPP(v25, v19) = v26 & hAPP(v1, v21) = v25 & hAPP(v1, v20) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v1, v21) = v22) | ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v25, v26) = v24 & hAPP(v22, v20) = v25 & hAPP(v22, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v22, v23) = v24) | ~ class_Rings_Odivision__ring(v21) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Groups_Otimes__class_Otimes(v21) = v26 & c_Groups_Oplus__class_Oplus(v21, v20, v19) = v28 & c_Groups_Ozero__class_Ozero(v21) = v25 & hAPP(v30, v23) = v31 & hAPP(v27, v28) = v29 & hAPP(v26, v29) = v30 & hAPP(v26, v22) = v27 & (v31 = v24 | v25 = v20 | v25 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v22, v23) = v24) | ~ class_Fields_Ofield(v21) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Groups_Otimes__class_Otimes(v21) = v26 & c_Groups_Oplus__class_Oplus(v21, v20, v19) = v27 & c_Groups_Ozero__class_Ozero(v21) = v25 & hAPP(v30, v23) = v31 & hAPP(v28, v22) = v29 & hAPP(v26, v29) = v30 & hAPP(v26, v27) = v28 & (v31 = v24 | v25 = v20 | v25 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v23) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Odivision__ring(v20) | ? [v25] : ? [v26] : (c_Groups_Oone__class_Oone(v20) = v26 & c_Groups_Ozero__class_Ozero(v20) = v25 & (v26 = v24 | v25 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v22) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Rings_Odivision__ring(v20) | ? [v25] : ? [v26] : (c_Groups_Oone__class_Oone(v20) = v26 & c_Groups_Ozero__class_Ozero(v20) = v25 & (v26 = v24 | v25 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v22) | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v21, v22) = v23) | ~ class_Fields_Ofield(v20) | ? [v25] : ? [v26] : (c_Groups_Oone__class_Oone(v20) = v26 & c_Groups_Ozero__class_Ozero(v20) = v25 & (v26 = v24 | v25 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Opoly__gcd(v22, v23, v19) = v24) | ~ (c_Polynomial_Opoly__gcd(v22, v21, v20) = v23) | ~ class_Fields_Ofield(v22) | ? [v25] : (c_Polynomial_Opoly__gcd(v22, v21, v25) = v24 & c_Polynomial_Opoly__gcd(v22, v20, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Opoly__gcd(v22, v21, v23) = v24) | ~ (c_Polynomial_Opoly__gcd(v22, v20, v19) = v23) | ~ class_Fields_Ofield(v22) | ? [v25] : (c_Polynomial_Opoly__gcd(v22, v25, v19) = v24 & c_Polynomial_Opoly__gcd(v22, v21, v20) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Opoly__gcd(v22, v21, v23) = v24) | ~ (c_Polynomial_Opoly__gcd(v22, v20, v19) = v23) | ~ class_Fields_Ofield(v22) | ? [v25] : (c_Polynomial_Opoly__gcd(v22, v21, v19) = v25 & c_Polynomial_Opoly__gcd(v22, v20, v25) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Opoly__gcd(v22, v21, v19) = v23) | ~ (c_Polynomial_Opoly__gcd(v22, v20, v23) = v24) | ~ class_Fields_Ofield(v22) | ? [v25] : (c_Polynomial_Opoly__gcd(v22, v21, v25) = v24 & c_Polynomial_Opoly__gcd(v22, v20, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Opoly__gcd(v21, v23, v19) = v24) | ~ (c_Groups_Ouminus__class_Ouminus(v22, v20) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Fields_Ofield(v21) | c_Polynomial_Opoly__gcd(v21, v20, v19) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Opoly__gcd(v21, v20, v23) = v24) | ~ (c_Groups_Ouminus__class_Ouminus(v22, v19) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Fields_Ofield(v21) | c_Polynomial_Opoly__gcd(v21, v20, v19) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower_Opower(v22, v21, v20) = v23) | ~ (hAPP(v23, v19) = v24) | hAPP(v24, v0) = v21) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Ocoeff(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v23) = v24) | ~ (hAPP(v22, v19) = v23) | ~ class_Groups_Oab__group__add(v21) | ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Ocoeff(v21, v26) = v27 & c_Groups_Ouminus__class_Ouminus(v25, v20) = v26 & tc_Polynomial_Opoly(v21) = v25 & hAPP(v27, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Ocoeff(v20, v22) = v23) | ~ (c_Groups_Oone__class_Oone(v21) = v22) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v25] : ? [v26] : (c_Groups_Oone__class_Oone(v20) = v25 & c_Groups_Ozero__class_Ozero(v20) = v26 & ( ~ (v19 = v0) | v25 = v24) & (v26 = v24 | v19 = v0))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Ocoeff(v20, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ class_Groups_Ozero(v20) | c_Groups_Ozero__class_Ozero(v20) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Ocoeff(v20, v19) = v22) | ~ (c_Polynomial_Ocoeff(v20, v19) = v21) | ~ (hAPP(v22, v23) = v24) | ~ class_Groups_Ozero(v20) | hAPP(v21, v23) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Ocoeff(v20, v19) = v22) | ~ (c_Polynomial_Ocoeff(v20, v19) = v21) | ~ (hAPP(v21, v23) = v24) | ~ class_Groups_Ozero(v20) | hAPP(v22, v23) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oidom(v21) | ? [v25] : ? [v26] : ? [v27] : (hAPP(v26, v12) = v27 & hAPP(v23, v12) = v25 & hAPP(v22, v19) = v26 & ( ~ (v27 = v25) | v24 = v20 | v20 = v19) & (v27 = v25 | ( ~ (v24 = v20) & ~ (v20 = v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v19) = v23) | ~ class_Groups_Omonoid__mult(v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v2) = v26 & c_Groups_Otimes__class_Otimes(v21) = v25 & hAPP(v28, v19) = v24 & hAPP(v25, v27) = v28 & hAPP(v23, v26) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v19) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | ~ class_Rings_Ocomm__semiring__1(v21) | c_Rings_Odvd__class_Odvd(v21, v19, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | c_Rings_Odvd__class_Odvd(v21, v19, v24) | ? [v25] : ( ~ (v25 = v19) & c_Groups_Oone__class_Oone(v21) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Power_Opower(v21) | ~ class_Rings_Ozero__neq__one(v21) | ~ class_Rings_Ono__zero__divisors(v21) | ~ class_Rings_Omult__zero(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ (v25 = v24) | (v24 = v20 & ~ (v19 = v0))) & ( ~ (v25 = v20) | v24 = v20 | v19 = v0))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oring__1__no__zero__divisors(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ (v25 = v24) | v24 = v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | ? [v25] : (c_Groups_Oone__class_Oone(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless(v21, v25, v20) | c_Orderings_Oord__class_Oless(v21, v25, v24)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Groups_Oone__class_Oone(v21) = v26 & c_Groups_Otimes__class_Otimes(v21) = v27 & c_Groups_Ozero__class_Ozero(v21) = v25 & hAPP(v28, v24) = v29 & hAPP(v27, v20) = v28 & ( ~ c_Orderings_Oord__class_Oless(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless(v21, v20, v26) | c_Orderings_Oord__class_Oless(v21, v29, v24)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oone__class_Oone(v21) = v25 & c_Groups_Otimes__class_Otimes(v21) = v26 & hAPP(v27, v24) = v28 & hAPP(v26, v20) = v27 & ( ~ c_Orderings_Oord__class_Oless(v21, v25, v20) | c_Orderings_Oord__class_Oless(v21, v24, v28)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | ? [v25] : (c_Groups_Oone__class_Oone(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v20) | c_Orderings_Oord__class_Oless__eq(v21, v25, v24)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless(v21, v25, v20) | c_Orderings_Oord__class_Oless(v21, v25, v24)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v20) | c_Orderings_Oord__class_Oless__eq(v21, v25, v24)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Power_Opower__class_Opower(v21) = v22) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ class_Rings_Oidom(v21) | ? [v25] : ? [v26] : ? [v27] : (c_Groups_Ouminus__class_Ouminus(v21, v19) = v27 & hAPP(v24, v12) = v26 & hAPP(v23, v12) = v25 & ( ~ (v26 = v25) | v27 = v20 | v20 = v19) & (v26 = v25 | ( ~ (v27 = v20) & ~ (v20 = v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ouminus__class_Ouminus(v22, v23) = v24) | ~ (c_Polynomial_Omonom(v21, v20, v19) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Groups_Oab__group__add(v21) | ? [v25] : (c_Groups_Ouminus__class_Ouminus(v21, v20) = v25 & c_Polynomial_Omonom(v21, v25, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ouminus__class_Ouminus(v22, v23) = v24) | ~ (c_Polynomial_Osmult(v21, v20, v19) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Rings_Ocomm__ring(v21) | ? [v25] : (c_Groups_Ouminus__class_Ouminus(v22, v19) = v25 & c_Polynomial_Osmult(v21, v20, v25) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ouminus__class_Ouminus(v22, v23) = v24) | ~ (c_Polynomial_Osmult(v21, v20, v19) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Rings_Ocomm__ring(v21) | ? [v25] : (c_Groups_Ouminus__class_Ouminus(v21, v20) = v25 & c_Polynomial_Osmult(v21, v25, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ouminus__class_Ouminus(v22, v23) = v24) | ~ (c_Polynomial_OpCons(v21, v20, v19) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Groups_Oab__group__add(v21) | ? [v25] : ? [v26] : (c_Groups_Ouminus__class_Ouminus(v22, v19) = v26 & c_Groups_Ouminus__class_Ouminus(v21, v20) = v25 & c_Polynomial_OpCons(v21, v25, v26) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ouminus__class_Ouminus(v22, v19) = v23) | ~ (c_Polynomial_Osmult(v21, v20, v23) = v24) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Rings_Ocomm__ring(v21) | ? [v25] : (c_Groups_Ouminus__class_Ouminus(v22, v25) = v24 & c_Polynomial_Osmult(v21, v20, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v23) = v24) | ~ (c_Polynomial_Opoly(v21, v20) = v22) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Ocomm__ring(v21) | ? [v25] : ? [v26] : ? [v27] : (c_Groups_Ouminus__class_Ouminus(v25, v20) = v26 & c_Polynomial_Opoly(v21, v26) = v27 & tc_Polynomial_Opoly(v21) = v25 & hAPP(v27, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v22, v23) = v24) | ~ class_Groups_Ogroup__add(v21) | ? [v25] : (c_Groups_Ouminus__class_Ouminus(v21, v25) = v24 & c_Groups_Oplus__class_Oplus(v21, v20, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Polynomial_Opoly(v21, v19) = v22) | ~ (hAPP(v22, v23) = v24) | ~ class_Rings_Oidom(v21) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Oone__class_Oone(v21) = v26 & c_Polynomial_OpCons(v21, v26, v27) = v28 & c_Polynomial_OpCons(v21, v20, v28) = v29 & tc_Polynomial_Opoly(v21) = v25 & c_Groups_Ozero__class_Ozero(v25) = v27 & c_Groups_Ozero__class_Ozero(v21) = v30 & ( ~ (v30 = v24) | c_Rings_Odvd__class_Odvd(v25, v29, v19)) & (v30 = v24 | ~ c_Rings_Odvd__class_Odvd(v25, v29, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v22, v23) = v24) | ~ class_Groups_Oab__group__add(v21) | ? [v25] : (c_Groups_Ouminus__class_Ouminus(v21, v25) = v24 & c_Groups_Oplus__class_Oplus(v21, v20, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Omonom(v22, v23, v20) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v23) | ~ class_Groups_Ocomm__monoid__add(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Omonom(v22, v21, v20) = v26 & c_Polynomial_Omonom(v22, v19, v20) = v27 & c_Groups_Oplus__class_Oplus(v25, v26, v27) = v24 & tc_Polynomial_Opoly(v22) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Omonom(v22, v20, v19) = v23) | ~ (c_Polynomial_Osmult(v22, v21, v23) = v24) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Omonom(v22, v27, v19) = v24 & c_Groups_Otimes__class_Otimes(v22) = v25 & hAPP(v26, v20) = v27 & hAPP(v25, v21) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Omonom(v21, v20, v19) = v23) | ~ (c_Polynomial_OpCons(v21, v22, v23) = v24) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ class_Groups_Ozero(v21) | ? [v25] : (c_Nat_OSuc(v19) = v25 & c_Polynomial_Omonom(v21, v20, v25) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Odegree(v22, v21) = v23) | ~ (c_Polynomial_Odegree(v22, v19) = v24) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v24, v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v20) | ~ class_Groups_Ocomm__monoid__add(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Odegree(v22, v26) = v27 & c_Groups_Oplus__class_Oplus(v25, v21, v19) = v26 & tc_Polynomial_Opoly(v22) = v25 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v27, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Odegree(v22, v21) = v23) | ~ (c_Polynomial_Odegree(v22, v19) = v24) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v24, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v20) | ~ class_Groups_Ocomm__monoid__add(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Odegree(v22, v26) = v27 & c_Groups_Oplus__class_Oplus(v25, v21, v19) = v26 & tc_Polynomial_Opoly(v22) = v25 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v27, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Odegree(v21, v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Groups_Ocomm__monoid__add(v21) | ? [v25] : ? [v26] : (c_Polynomial_Odegree(v21, v20) = v25 & c_Polynomial_Odegree(v21, v19) = v26 & (v26 = v24 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v25, v26)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Odegree(v21, v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v19, v20) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Groups_Ocomm__monoid__add(v21) | ? [v25] : ? [v26] : (c_Polynomial_Odegree(v21, v20) = v25 & c_Polynomial_Odegree(v21, v19) = v26 & (v26 = v24 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v25, v26)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Odegree(v21, v20) = v22) | ~ (c_Polynomial_Odegree(v21, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v23) = v24) | ~ class_Rings_Oidom(v21) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Polynomial_Odegree(v21, v29) = v30 & c_Groups_Otimes__class_Otimes(v25) = v27 & tc_Polynomial_Opoly(v21) = v25 & c_Groups_Ozero__class_Ozero(v25) = v26 & hAPP(v28, v19) = v29 & hAPP(v27, v20) = v28 & (v30 = v24 | v26 = v20 | v26 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Odegree(v21, v20) = v22) | ~ (c_Polynomial_Odegree(v21, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v23) = v24) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Polynomial_Odegree(v21, v28) = v29 & c_Groups_Otimes__class_Otimes(v25) = v26 & tc_Polynomial_Opoly(v21) = v25 & hAPP(v27, v19) = v28 & hAPP(v26, v20) = v27 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v29, v24))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Odegree(v21, v20) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v1, v22) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : (c_Power_Opower__class_Opower(v25) = v26 & c_Polynomial_Odegree(v21, v28) = v29 & tc_Polynomial_Opoly(v21) = v25 & hAPP(v27, v19) = v28 & hAPP(v26, v20) = v27 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v29, v24))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oone__class_Oone(v21) = v22) | ~ (c_Polynomial_Opoly(v20, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Ocomm__semiring__1(v20) | c_Groups_Oone__class_Oone(v20) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Osynthetic__div(v22, v23, v19) = v24) | ~ (c_Polynomial_OpCons(v22, v21, v20) = v23) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Osynthetic__div(v22, v20, v19) = v27 & c_Polynomial_Opoly(v22, v20) = v25 & c_Polynomial_OpCons(v22, v26, v27) = v24 & hAPP(v25, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Opoly(v20, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ class_Rings_Ocomm__semiring__0(v20) | c_Groups_Ozero__class_Ozero(v20) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Opcompose(v22, v23, v19) = v24) | ~ (c_Polynomial_OpCons(v22, v21, v20) = v23) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Polynomial_Opcompose(v22, v20, v19) = v30 & c_Groups_Otimes__class_Otimes(v25) = v28 & c_Groups_Oplus__class_Oplus(v25, v27, v31) = v24 & c_Polynomial_OpCons(v22, v21, v26) = v27 & tc_Polynomial_Opoly(v22) = v25 & c_Groups_Ozero__class_Ozero(v25) = v26 & hAPP(v29, v30) = v31 & hAPP(v28, v19) = v29)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v22) = v23) | ~ (hAPP(v24, v19) = v21) | ~ (hAPP(v23, v20) = v24) | ~ class_Rings_Odvd(v22) | c_Rings_Odvd__class_Odvd(v22, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Oordered__cancel__semiring(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v25) | c_Orderings_Oord__class_Oless__eq(v21, v24, v25)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Olinordered__semiring__strict(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless(v21, v19, v25) | c_Orderings_Oord__class_Oless(v21, v24, v25)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Olinordered__idom(v21) | c_Orderings_Oord__class_Oless__eq(v21, v24, v20) | ? [v25] : ? [v26] : (c_Groups_Oone__class_Oone(v21) = v26 & c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v26)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | c_Rings_Odvd__class_Odvd(v21, v20, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v20) = v24) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v25] : (hAPP(v25, v19) = v24 & hAPP(v22, v20) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Odivision__ring(v21) | ? [v25] : ? [v26] : (c_Rings_Oinverse__class_Oinverse(v21, v20) = v26 & c_Groups_Oone__class_Oone(v21) = v25 & ( ~ (v25 = v24) | v26 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oring(v21) | ? [v25] : ? [v26] : ? [v27] : (c_Groups_Ouminus__class_Ouminus(v21, v20) = v25 & c_Groups_Ouminus__class_Ouminus(v21, v19) = v27 & hAPP(v26, v27) = v24 & hAPP(v22, v25) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oordered__ring(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v25) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v25) | c_Orderings_Oord__class_Oless__eq(v21, v25, v24)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oordered__ring(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & (c_Orderings_Oord__class_Oless__eq(v21, v25, v24) | (( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v19)) & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v25) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v25)))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oordered__cancel__semiring(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v19) | c_Orderings_Oord__class_Oless__eq(v21, v25, v24)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oordered__cancel__semiring(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v25) | c_Orderings_Oord__class_Oless__eq(v21, v24, v25)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oordered__cancel__semiring(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v25) | c_Orderings_Oord__class_Oless__eq(v21, v24, v25)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oordered__cancel__semiring(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & (c_Orderings_Oord__class_Oless__eq(v21, v24, v25) | (( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v25)) & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v25)))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semidom(v21) | ? [v25] : (c_Groups_Oone__class_Oone(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless(v21, v25, v19) | c_Orderings_Oord__class_Oless(v21, v25, v24)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semiring__strict(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless(v21, v25, v24) | ~ c_Orderings_Oord__class_Oless(v21, v25, v20) | c_Orderings_Oord__class_Oless(v21, v25, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semiring__strict(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless(v21, v25, v24) | ~ c_Orderings_Oord__class_Oless(v21, v25, v19) | c_Orderings_Oord__class_Oless(v21, v25, v20)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semiring__strict(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless(v21, v25, v19) | c_Orderings_Oord__class_Oless(v21, v25, v24)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semiring__strict(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless(v21, v19, v25) | c_Orderings_Oord__class_Oless(v21, v24, v25)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__semiring__strict(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless(v21, v25, v19) | ~ c_Orderings_Oord__class_Oless(v21, v20, v25) | c_Orderings_Oord__class_Oless(v21, v24, v25)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__idom(v21) | c_Orderings_Oord__class_Oless__eq(v21, v24, v20) | ? [v25] : ? [v26] : (c_Groups_Oone__class_Oone(v21) = v26 & c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v26)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Lattices_Oab__semigroup__idem__mult(v21) | hAPP(v23, v24) = v24) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Oring__no__zero__divisors(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ (v25 = v24) | v24 = v20 | v24 = v19) & (v25 = v24 | ( ~ (v25 = v20) & ~ (v25 = v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Ono__zero__divisors(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ (v25 = v24) | v24 = v20 | v24 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__ring__strict(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless(v21, v20, v25) | ~ c_Orderings_Oord__class_Oless(v21, v19, v25) | c_Orderings_Oord__class_Oless(v21, v25, v24)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__ring__strict(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v24) | (c_Orderings_Oord__class_Oless__eq(v21, v25, v20) & c_Orderings_Oord__class_Oless__eq(v21, v25, v19)) | (c_Orderings_Oord__class_Oless__eq(v21, v20, v25) & c_Orderings_Oord__class_Oless__eq(v21, v19, v25))) & (c_Orderings_Oord__class_Oless__eq(v21, v25, v24) | (( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v19)) & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v25) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v25)))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Olinordered__ring__strict(v21) | ? [v25] : (c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v24, v25) | (c_Orderings_Oord__class_Oless__eq(v21, v25, v20) & c_Orderings_Oord__class_Oless__eq(v21, v19, v25)) | (c_Orderings_Oord__class_Oless__eq(v21, v25, v19) & c_Orderings_Oord__class_Oless__eq(v21, v20, v25))) & (c_Orderings_Oord__class_Oless__eq(v21, v24, v25) | (( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v25)) & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v25, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v25)))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | c_Rings_Odvd__class_Odvd(v21, v20, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Ocomm__semiring__1(v21) | ? [v25] : (hAPP(v25, v20) = v24 & hAPP(v22, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Osmult(v22, v23, v19) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Osmult(v22, v21, v19) = v26 & c_Polynomial_Osmult(v22, v20, v19) = v27 & c_Groups_Oplus__class_Oplus(v25, v26, v27) = v24 & tc_Polynomial_Opoly(v22) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Osmult(v22, v21, v23) = v24) | ~ (c_Polynomial_Osmult(v22, v20, v19) = v23) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v25] : ? [v26] : ? [v27] : (c_Groups_Otimes__class_Otimes(v22) = v25 & c_Polynomial_Osmult(v22, v27, v19) = v24 & hAPP(v26, v20) = v27 & hAPP(v25, v21) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_Osmult(v22, v21, v23) = v24) | ~ (c_Polynomial_OpCons(v22, v20, v19) = v23) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Otimes__class_Otimes(v22) = v25 & c_Polynomial_Osmult(v22, v21, v19) = v28 & c_Polynomial_OpCons(v22, v27, v28) = v24 & hAPP(v26, v20) = v27 & hAPP(v25, v21) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v23, v20) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v23) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v25] : (c_Groups_Oplus__class_Oplus(v22, v25, v19) = v24 & c_Groups_Oplus__class_Oplus(v22, v21, v20) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v23, v19) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v25] : (c_Groups_Oplus__class_Oplus(v22, v25, v20) = v24 & c_Groups_Oplus__class_Oplus(v22, v21, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v23, v19) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v25] : (c_Groups_Oplus__class_Oplus(v22, v21, v25) = v24 & c_Groups_Oplus__class_Oplus(v22, v20, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v23, v19) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ class_Groups_Oab__semigroup__add(v22) | ? [v25] : (c_Groups_Oplus__class_Oplus(v22, v21, v25) = v24 & c_Groups_Oplus__class_Oplus(v22, v20, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v23) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v25] : (c_Groups_Oplus__class_Oplus(v22, v25, v19) = v24 & c_Groups_Oplus__class_Oplus(v22, v21, v20) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v23) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v25] : (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v25 & c_Groups_Oplus__class_Oplus(v22, v20, v25) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v23) = v24) | ~ (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v23) | ~ class_Groups_Oab__semigroup__add(v22) | ? [v25] : (c_Groups_Oplus__class_Oplus(v22, v25, v19) = v24 & c_Groups_Oplus__class_Oplus(v22, v21, v20) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v24) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v22) | ~ c_Orderings_Oord__class_Oless(v22, v23, v24) | c_Orderings_Oord__class_Oless(v22, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v24) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v22) | ~ c_Orderings_Oord__class_Oless(v22, v20, v19) | c_Orderings_Oord__class_Oless(v22, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v24) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v23, v24) | c_Orderings_Oord__class_Oless__eq(v22, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v24) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v20, v19) | c_Orderings_Oord__class_Oless__eq(v22, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v19, v20) = v24) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v22) | ~ c_Orderings_Oord__class_Oless(v22, v23, v24) | c_Orderings_Oord__class_Oless(v22, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v19, v20) = v24) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v22) | ~ c_Orderings_Oord__class_Oless(v22, v21, v19) | c_Orderings_Oord__class_Oless(v22, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v19, v20) = v24) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v23, v24) | c_Orderings_Oord__class_Oless__eq(v22, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v19, v20) = v24) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v19) | c_Orderings_Oord__class_Oless__eq(v22, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v20, v23) = v24) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v25] : (c_Groups_Oplus__class_Oplus(v22, v21, v25) = v24 & c_Groups_Oplus__class_Oplus(v22, v20, v19) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v24) | ~ class_Groups_Oordered__ab__semigroup__add(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | c_Orderings_Oord__class_Oless__eq(v22, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v24) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v22) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | c_Orderings_Oord__class_Oless(v22, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v19, v21) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v19, v20) = v24) | ~ class_Groups_Oordered__ab__semigroup__add(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | c_Orderings_Oord__class_Oless__eq(v22, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v19, v21) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v19, v20) = v24) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v22) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | c_Orderings_Oord__class_Oless(v22, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v6, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v24, v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v9)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v23, v19) = v24) | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v6, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v24) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v22, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v19) = v24) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v22, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v19) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v20) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v6, v22) = v23) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v26, v28) = v24 & hAPP(v27, v19) = v28 & hAPP(v25, v19) = v26 & hAPP(v6, v21) = v25 & hAPP(v6, v20) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v23) = v24) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v6, v21) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v24) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v23) = v24) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v6, v21) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v20) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v6, v21) = v22) | ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v25, v26) = v24 & hAPP(v22, v20) = v25 & hAPP(v22, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v24) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v24) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ (hAPP(v23, v19) = v24) | ~ (hAPP(v1, v22) = v23) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v26, v28) = v24 & hAPP(v27, v19) = v28 & hAPP(v25, v19) = v26 & hAPP(v1, v21) = v25 & hAPP(v1, v20) = v27)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v5, v21) = v22) | ? [v25] : ? [v26] : ? [v27] : (hAPP(v26, v27) = v24 & hAPP(v22, v20) = v25 & hAPP(v22, v19) = v27 & hAPP(v6, v25) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v23) | ~ (hAPP(v22, v23) = v24) | ~ (hAPP(v1, v21) = v22) | ? [v25] : ? [v26] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v25, v26) = v24 & hAPP(v22, v20) = v25 & hAPP(v22, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (c_Polynomial_OpCons(v22, v21, v20) = v23) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v22, v23, v19) = v24) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v25] : ? [v26] : ? [v27] : ? [v28] : (c_Polynomial_Osmult(v22, v19, v26) = v27 & c_Groups_Oplus__class_Oplus(v25, v27, v28) = v24 & c_Polynomial_OpCons(v22, v21, v26) = v28 & tc_Polynomial_Opoly(v22) = v25 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v22, v20, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v21) = v23) | ~ (hAPP(v22, v20) = v24) | ~ (hAPP(v6, v19) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v21, v20) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v19) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v21) = v23) | ~ (hAPP(v22, v20) = v24) | ~ (hAPP(v1, v19) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v21) = v23) | ~ (hAPP(v22, v20) = v24) | ~ (hAPP(v1, v19) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v7, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v24) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v7, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v21) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v23, v24) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v24) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v24) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v24) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v23, v24) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v24) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ! [v24] : ( ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v24) | ~ (hAPP(v1, v21) = v22) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Divides_Odiv__class_Omod(v21, v22, v19) = v23) | ~ (c_Divides_Odiv__class_Omod(v21, v20, v19) = v22) | ~ class_Divides_Osemiring__div(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Polynomial_Opoly__gcd(v20, v22, v19) = v23) | ~ (c_Groups_Oone__class_Oone(v21) = v22) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Fields_Ofield(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Polynomial_Opoly__gcd(v20, v19, v22) = v23) | ~ (c_Groups_Oone__class_Oone(v21) = v22) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Fields_Ofield(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Polynomial_Omonom(v21, v19, v20) = v23) | ~ (c_Polynomial_Omonom(v21, v19, v20) = v22) | ~ class_Groups_Ozero(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Polynomial_Osynthetic__div(v20, v22, v19) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ class_Rings_Ocomm__semiring__0(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Polynomial_Opcompose(v20, v22, v19) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ class_Rings_Ocomm__semiring__0(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Polynomial_Osmult(v20, v19, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ class_Rings_Ocomm__semiring__0(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Ocancel__semigroup__add(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v20) = v22) | ~ class_Groups_Ocancel__semigroup__add(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Polynomial_OpCons(v21, v20, v19) = v23) | ~ (c_Polynomial_OpCons(v21, v20, v19) = v22) | ~ class_Groups_Ozero(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (c_Polynomial_OpCons(v19, v20, v22) = v23) | ~ (tc_Polynomial_Opoly(v19) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Groups_Ozero(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v20, v22, v19) = v23) | ~ class_Rings_Ocomm__semiring__0(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (hAPP(v21, v19) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v22 | ~ (hAPP(v21, v19) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (c_Groups_Ominus__class_Ominus(v21, v22, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Ogroup__add(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v22, v19) = v23) | ~ class_Groups_Ogroup__add(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v20 | ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Fields_Ofield(v21) | ? [v24] : ? [v25] : (c_Polynomial_Odegree(v21, v20) = v24 & c_Polynomial_Odegree(v21, v19) = v25 & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v24, v25))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v19 | ~ (c_Polynomial_Omonom(v21, v20, v19) = v22) | ~ (c_Polynomial_Odegree(v21, v22) = v23) | ~ class_Groups_Ozero(v21) | c_Groups_Ozero__class_Ozero(v21) = v20) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v19 | ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Lattices_Oab__semigroup__idem__mult(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v19 | ~ (c_Groups_Oplus__class_Oplus(v21, v22, v19) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ class_Groups_Ocomm__monoid__add(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v23 = v19 | ~ (c_Groups_Oplus__class_Oplus(v21, v19, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ class_Groups_Ocomm__monoid__add(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (c_Groups_Ominus__class_Ominus(v22, v21, v20) = v23) | ~ (c_Groups_Ominus__class_Ominus(v22, v19, v19) = v23) | ~ class_Groups_Oab__group__add(v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v20 | ~ (hAPP(v22, v21) = v23) | ~ (hAPP(v19, v20) = v22) | hBOOL(v23) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v19 | ~ (c_Polynomial_Omonom(v22, v21, v20) = v23) | ~ (c_Polynomial_Omonom(v22, v19, v20) = v23) | ~ class_Groups_Ozero(v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v19 | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v19, v20) = v23) | ~ class_Groups_Ocancel__semigroup__add(v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v21 = v0 | v20 = v19 | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v1, v21) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Groups_Ominus__class_Ominus(v23, v22, v21) = v20) | ~ (c_Groups_Ominus__class_Ominus(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Groups_Ominus__class_Ominus(v22, v21, v21) = v23) | ~ (c_Groups_Ominus__class_Ominus(v22, v20, v19) = v23) | ~ class_Groups_Oab__group__add(v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Divides_Odiv__class_Omod(v23, v22, v21) = v20) | ~ (c_Divides_Odiv__class_Omod(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Polynomial_Opoly__gcd(v23, v22, v21) = v20) | ~ (c_Polynomial_Opoly__gcd(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Power_Opower_Opower(v23, v22, v21) = v20) | ~ (c_Power_Opower_Opower(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Polynomial_Ocoeff(v21, v20) = v22) | ~ (c_Polynomial_Ocoeff(v21, v19) = v23) | ~ class_Groups_Ozero(v21) | ? [v24] : ? [v25] : ? [v26] : ( ~ (v26 = v25) & hAPP(v23, v24) = v26 & hAPP(v22, v24) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Polynomial_Omonom(v23, v22, v21) = v20) | ~ (c_Polynomial_Omonom(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Polynomial_Oorder(v23, v22, v21) = v20) | ~ (c_Polynomial_Oorder(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Polynomial_Osynthetic__div(v23, v22, v21) = v20) | ~ (c_Polynomial_Osynthetic__div(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Polynomial_Opcompose(v23, v22, v21) = v20) | ~ (c_Polynomial_Opcompose(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Polynomial_Osmult(v23, v22, v21) = v20) | ~ (c_Polynomial_Osmult(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Groups_Oplus__class_Oplus(v23, v22, v21) = v20) | ~ (c_Groups_Oplus__class_Oplus(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v23) | ~ class_Groups_Ocancel__ab__semigroup__add(v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v23) | ~ class_Groups_Ocancel__semigroup__add(v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Polynomial_OpCons(v23, v22, v21) = v20) | ~ (c_Polynomial_OpCons(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v23, v22, v21) = v20) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v23, v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : (v20 = v19 | ~ (hAPP(v22, v20) = v23) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v1, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(v22, v20, v19) = v23) | ~ class_Rings_Ocomm__ring__1(v22) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v20) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v19) | c_Rings_Odvd__class_Odvd(v22, v21, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v22) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ class_Groups_Ogroup__add(v21) | c_Groups_Oplus__class_Oplus(v21, v20, v19) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v22) = v23) | ~ class_Groups_Oab__group__add(v21) | c_Groups_Ominus__class_Ominus(v21, v19, v20) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v21) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v21) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ? [v24] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v24 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v24, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v21) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ? [v24] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v24 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v24) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v20) = v23) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v19) = v22) | ? [v24] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v24, v19) = v23 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v21) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ? [v24] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v24 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v24) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v19) = v23) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v20) = v22) | ? [v24] : ? [v25] : ? [v26] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v25, v26) = v23 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v24, v20) = v25 & c_Nat_OSuc(v21) = v24 & c_Nat_OSuc(v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v19) = v23) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v20) = v22) | ? [v24] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v24, v20) = v23 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v19) = v23) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v20) = v22) | ? [v24] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v24) = v23 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v22) = v23) | ~ (c_Nat_OSuc(v20) = v21) | ~ (c_Nat_OSuc(v19) = v22) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v22) | ? [v24] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v24, v19) = v23 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v22) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v19) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v21) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v19) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v22) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ? [v24] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v24, v20) = v23 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v21) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v21) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v21) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v21) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v21) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v19) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ? [v24] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v24, v21) = v23 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v22) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ? [v24] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v24, v21) = v23 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v21) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v21) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v22) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v23, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v21) = v23) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v21) = v23) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v22, v21, v20) = v23) | ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ class_Divides_Oring__div(v22) | ? [v24] : ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(v22, v26, v20) = v25 & c_Divides_Odiv__class_Omod(v22, v24, v20) = v25 & c_Groups_Ouminus__class_Ouminus(v22, v21) = v24 & c_Groups_Ouminus__class_Ouminus(v22, v19) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Fields_Ofield(v21) | ? [v24] : (c_Divides_Odiv__class_Omod(v22, v20, v24) = v23 & c_Groups_Ouminus__class_Ouminus(v22, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v23) | ~ class_Divides_Osemiring__div(v22) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v23) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v19) | c_Rings_Odvd__class_Odvd(v22, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v22, v20, v19) = v23) | ~ class_Divides_Osemiring__div(v22) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v20) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v19) | c_Rings_Odvd__class_Odvd(v22, v21, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ class_Fields_Ofield(v21) | ? [v24] : ? [v25] : ? [v26] : (c_Polynomial_Odegree(v21, v23) = v25 & c_Polynomial_Odegree(v21, v20) = v26 & c_Groups_Ozero__class_Ozero(v22) = v24 & (v24 = v23 | v24 = v20 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v25, v26)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ class_Divides_Osemiring__div(v22) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v23) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v20) | c_Rings_Odvd__class_Odvd(v22, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v22, v19, v20) = v23) | ~ class_Divides_Osemiring__div(v22) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v20) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v19) | c_Rings_Odvd__class_Odvd(v22, v21, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v21, v22, v20) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Divides_Osemiring__div(v21) | c_Divides_Odiv__class_Omod(v21, v19, v20) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v21, v22, v19) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ class_Divides_Oring__div(v21) | ? [v24] : ? [v25] : (c_Divides_Odiv__class_Omod(v21, v25, v19) = v23 & c_Divides_Odiv__class_Omod(v21, v20, v19) = v24 & c_Groups_Ouminus__class_Ouminus(v21, v24) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(v21, v22, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Divides_Osemiring__div(v21) | c_Divides_Odiv__class_Omod(v21, v20, v19) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v22, v19) = v23) | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v21) = v22) | ? [v24] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v24, v19) = v23 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v21, v22) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v22) | ? [v24] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v24 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v24) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v22, v19) = v23) | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v21) | ~ (c_Nat_OSuc(v21) = v22) | ? [v24] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v24, v19) = v23 & c_Nat_OSuc(v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v23) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v22) | ~ class_Fields_Olinordered__field(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | c_Orderings_Oord__class_Oless(v21, v22, v23) | ? [v24] : (c_Groups_Ozero__class_Ozero(v21) = v24 & ~ c_Orderings_Oord__class_Oless(v21, v24, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v23) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v22) | ~ class_Fields_Olinordered__field(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | c_Orderings_Oord__class_Oless(v21, v22, v23) | ? [v24] : (c_Groups_Ozero__class_Ozero(v21) = v24 & ~ c_Orderings_Oord__class_Oless(v21, v19, v24))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v23) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v22) | ~ class_Fields_Olinordered__field(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | c_Orderings_Oord__class_Oless__eq(v21, v22, v23) | ? [v24] : (c_Groups_Ozero__class_Ozero(v21) = v24 & ~ c_Orderings_Oord__class_Oless(v21, v24, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v23) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v22) | ~ class_Fields_Olinordered__field(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | c_Orderings_Oord__class_Oless__eq(v21, v22, v23) | ? [v24] : (c_Groups_Ozero__class_Ozero(v21) = v24 & ~ c_Orderings_Oord__class_Oless(v21, v19, v24))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v23) | ~ class_Fields_Olinordered__field(v21) | ~ c_Orderings_Oord__class_Oless(v21, v22, v23) | c_Orderings_Oord__class_Oless(v21, v19, v20) | ? [v24] : (c_Groups_Ozero__class_Ozero(v21) = v24 & ~ c_Orderings_Oord__class_Oless(v21, v24, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v23) | ~ class_Fields_Olinordered__field(v21) | ~ c_Orderings_Oord__class_Oless(v21, v22, v23) | c_Orderings_Oord__class_Oless(v21, v19, v20) | ? [v24] : (c_Groups_Ozero__class_Ozero(v21) = v24 & ~ c_Orderings_Oord__class_Oless(v21, v19, v24))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v23) | ~ class_Fields_Olinordered__field(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v22, v23) | c_Orderings_Oord__class_Oless__eq(v21, v19, v20) | ? [v24] : (c_Groups_Ozero__class_Ozero(v21) = v24 & ~ c_Orderings_Oord__class_Oless(v21, v24, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v23) | ~ class_Fields_Olinordered__field(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v22, v23) | c_Orderings_Oord__class_Oless__eq(v21, v19, v20) | ? [v24] : (c_Groups_Ozero__class_Ozero(v21) = v24 & ~ c_Orderings_Oord__class_Oless(v21, v19, v24))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Opoly__gcd(v20, v19, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ class_Fields_Ofield(v20) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Rings_Oinverse__class_Oinverse(v20, v26) = v27 & c_Polynomial_Ocoeff(v20, v19) = v24 & c_Polynomial_Odegree(v20, v19) = v25 & c_Polynomial_Osmult(v20, v27, v19) = v23 & hAPP(v24, v25) = v26)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Nat_OSuc(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v1, v21) = v22) | ? [v24] : ? [v25] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v25) = v23 & hAPP(v24, v19) = v25 & hAPP(v1, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Nat_OSuc(v19) = v22) | ~ (c_Polynomial_Omonom(v21, v20, v22) = v23) | ~ class_Groups_Ozero(v21) | ? [v24] : ? [v25] : (c_Polynomial_Omonom(v21, v20, v19) = v25 & c_Polynomial_OpCons(v21, v24, v25) = v23 & c_Groups_Ozero__class_Ozero(v21) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Nat_OSuc(v19) = v22) | ~ (hAPP(v21, v22) = v23) | ~ (hAPP(v1, v20) = v21) | ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v24) = v23 & hAPP(v21, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Ocoeff(v21, v22) = v23) | ~ (c_Polynomial_OpCons(v21, v20, v19) = v22) | ~ class_Groups_Ozero(v21) | hAPP(v23, v0) = v20) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Ocoeff(v21, v20) = v22) | ~ (hAPP(v22, v19) = v23) | ~ class_Groups_Ozero(v21) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Odegree(v21, v20) = v24 & tc_Polynomial_Opoly(v21) = v26 & c_Groups_Ozero__class_Ozero(v26) = v27 & c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ (v25 = v23) | v27 = v20 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v24, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v24, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Ocoeff(v21, v20) = v22) | ~ (hAPP(v22, v19) = v23) | ~ class_Groups_Ozero(v21) | ? [v24] : ? [v25] : (c_Polynomial_Odegree(v21, v20) = v25 & c_Groups_Ozero__class_Ozero(v21) = v24 & (v24 = v23 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v25)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Ocoeff(v21, v20) = v22) | ~ (hAPP(v22, v19) = v23) | ~ class_Groups_Ozero(v21) | ? [v24] : ? [v25] : (c_Polynomial_Odegree(v21, v20) = v24 & c_Groups_Ozero__class_Ozero(v21) = v25 & (v25 = v23 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v24, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Ocoeff(v20, v19) = v21) | ~ (c_Polynomial_Odegree(v20, v19) = v22) | ~ (hAPP(v21, v22) = v23) | ~ class_Rings_Olinordered__idom(v20) | ? [v24] : (c_Groups_Ozero__class_Ozero(v20) = v24 & ( ~ c_Polynomial_Opos__poly(v20, v19) | c_Orderings_Oord__class_Oless(v20, v24, v23)) & ( ~ c_Orderings_Oord__class_Oless(v20, v24, v23) | c_Polynomial_Opos__poly(v20, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Ocoeff(v20, v19) = v21) | ~ (c_Polynomial_Odegree(v20, v19) = v22) | ~ (hAPP(v21, v22) = v23) | ~ class_Groups_Ozero(v20) | ? [v24] : ? [v25] : ? [v26] : (tc_Polynomial_Opoly(v20) = v25 & c_Groups_Ozero__class_Ozero(v25) = v26 & c_Groups_Ozero__class_Ozero(v20) = v24 & ( ~ (v26 = v19) | v24 = v23) & ( ~ (v24 = v23) | v26 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Ocoeff(v20, v19) = v21) | ~ (c_Polynomial_Odegree(v20, v19) = v22) | ~ (hAPP(v21, v22) = v23) | ~ class_Groups_Ozero(v20) | ? [v24] : ? [v25] : ? [v26] : (tc_Polynomial_Opoly(v20) = v24 & c_Groups_Ozero__class_Ozero(v24) = v25 & c_Groups_Ozero__class_Ozero(v20) = v26 & ( ~ (v26 = v23) | v25 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v19) = v21) | ~ (hAPP(v22, v0) = v23) | ~ (hAPP(v20, v21) = v22) | ~ class_Power_Opower(v19) | ~ class_Rings_Osemiring__0(v19) | c_Groups_Oone__class_Oone(v19) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Ogroup__add(v21) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v21, v20) = v25 & c_Groups_Ouminus__class_Ouminus(v21, v19) = v24 & c_Groups_Oplus__class_Oplus(v21, v24, v25) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Oab__group__add(v21) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v21, v20) = v24 & c_Groups_Ouminus__class_Ouminus(v21, v19) = v25 & c_Groups_Oplus__class_Oplus(v21, v24, v25) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v22) | c_Orderings_Oord__class_Oless(v21, v19, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless(v21, v19, v23) | c_Orderings_Oord__class_Oless(v21, v20, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v22) | c_Orderings_Oord__class_Oless__eq(v21, v19, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | c_Orderings_Oord__class_Oless__eq(v21, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v23) | c_Orderings_Oord__class_Oless__eq(v21, v20, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v23) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ class_Lattices_Oboolean__algebra(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | c_Orderings_Oord__class_Oless__eq(v21, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless(v21, v23, v20) | c_Orderings_Oord__class_Oless(v21, v22, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless(v21, v22, v23) | c_Orderings_Oord__class_Oless(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless(v21, v22, v19) | c_Orderings_Oord__class_Oless(v21, v23, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless(v21, v19, v20) | c_Orderings_Oord__class_Oless(v21, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v23, v20) | c_Orderings_Oord__class_Oless__eq(v21, v22, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v22, v23) | c_Orderings_Oord__class_Oless__eq(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v22, v19) | c_Orderings_Oord__class_Oless__eq(v21, v23, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23) | ~ class_Groups_Oordered__ab__group__add(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v20) | c_Orderings_Oord__class_Oless__eq(v21, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23) | ~ class_Lattices_Oboolean__algebra(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v22, v23) | c_Orderings_Oord__class_Oless__eq(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23) | ~ class_Lattices_Oboolean__algebra(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v20) | c_Orderings_Oord__class_Oless__eq(v21, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Polynomial_Omonom(v21, v22, v19) = v23) | ~ class_Groups_Oab__group__add(v21) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v24, v25) = v23 & c_Polynomial_Omonom(v21, v20, v19) = v25 & tc_Polynomial_Opoly(v21) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Polynomial_Osmult(v21, v22, v19) = v23) | ~ class_Rings_Ocomm__ring(v21) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v24, v25) = v23 & c_Polynomial_Osmult(v21, v20, v19) = v25 & tc_Polynomial_Opoly(v21) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ (c_Polynomial_Odegree(v20, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Groups_Oab__group__add(v20) | c_Polynomial_Odegree(v20, v19) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v22) = v23) | ~ class_Groups_Ogroup__add(v21) | c_Groups_Ominus__class_Ominus(v21, v20, v19) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v22) = v23) | ~ class_Groups_Oab__group__add(v21) | c_Groups_Ominus__class_Ominus(v21, v20, v19) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(v21, v20, v22) = v23) | ~ class_Rings_Ocomm__ring__1(v21) | c_Groups_Ominus__class_Ominus(v21, v20, v19) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v22) = v23) | ? [v24] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v24) = v23 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v6, v21) = v22) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v25) = v23 & hAPP(v24, v19) = v25 & hAPP(v6, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Omonom(v21, v20, v19) = v22) | ~ (c_Polynomial_Odegree(v21, v22) = v23) | ~ class_Groups_Ozero(v21) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v21, v22) = v23) | ~ (c_Polynomial_Opcompose(v21, v20, v19) = v22) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Odegree(v21, v20) = v24 & c_Polynomial_Odegree(v21, v19) = v26 & hAPP(v25, v26) = v27 & hAPP(v1, v24) = v25 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v27))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v21, v22) = v23) | ~ (c_Polynomial_Osmult(v21, v20, v19) = v22) | ~ class_Rings_Oidom(v21) | ? [v24] : ? [v25] : (c_Polynomial_Odegree(v21, v19) = v25 & c_Groups_Ozero__class_Ozero(v21) = v24 & ( ~ (v24 = v20) | v23 = v0) & (v25 = v23 | v24 = v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v21, v22) = v23) | ~ (c_Polynomial_Osmult(v21, v20, v19) = v22) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v24] : (c_Polynomial_Odegree(v21, v19) = v24 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v24))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v21, v22) = v23) | ~ (c_Polynomial_OpCons(v21, v20, v19) = v22) | ~ class_Groups_Ozero(v21) | ? [v24] : ? [v25] : (c_Nat_OSuc(v24) = v25 & c_Polynomial_Odegree(v21, v19) = v24 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v23, v25))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v21, v22) = v23) | ~ (c_Polynomial_OpCons(v21, v19, v20) = v22) | ~ class_Groups_Ozero(v21) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Nat_OSuc(v26) = v27 & c_Polynomial_Odegree(v21, v20) = v26 & tc_Polynomial_Opoly(v21) = v24 & c_Groups_Ozero__class_Ozero(v24) = v25 & ( ~ (v25 = v20) | v23 = v0) & (v27 = v23 | v25 = v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v21, v22) = v23) | ~ (c_Polynomial_OpCons(v21, v19, v20) = v22) | ~ class_Groups_Ozero(v21) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Nat_OSuc(v26) = v27 & c_Polynomial_Odegree(v21, v20) = v26 & tc_Polynomial_Opoly(v21) = v24 & c_Groups_Ozero__class_Ozero(v24) = v25 & (v27 = v23 | v25 = v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v21, v20) = v22) | ~ (c_Polynomial_Odegree(v21, v19) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23) | ~ class_Fields_Ofield(v21) | ? [v24] : (c_Divides_Odiv__class_Omod(v24, v20, v19) = v20 & tc_Polynomial_Opoly(v21) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v21, v20) = v22) | ~ (c_Polynomial_Odegree(v21, v19) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23) | ~ class_Groups_Ocomm__monoid__add(v21) | ? [v24] : ? [v25] : (c_Polynomial_Odegree(v21, v25) = v23 & c_Groups_Oplus__class_Oplus(v24, v20, v19) = v25 & tc_Polynomial_Opoly(v21) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v21, v20) = v22) | ~ (c_Polynomial_Odegree(v21, v19) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23) | ~ class_Groups_Ocomm__monoid__add(v21) | ? [v24] : ? [v25] : (c_Polynomial_Odegree(v21, v25) = v23 & c_Groups_Oplus__class_Oplus(v24, v19, v20) = v25 & tc_Polynomial_Opoly(v21) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Odegree(v21, v20) = v22) | ~ (c_Polynomial_Odegree(v21, v19) = v23) | ~ class_Rings_Oidom(v21) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v23) | ? [v24] : ? [v25] : (tc_Polynomial_Opoly(v21) = v24 & c_Groups_Ozero__class_Ozero(v24) = v25 & (v25 = v19 | ~ c_Rings_Odvd__class_Odvd(v24, v20, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oone__class_Oone(v19) = v21) | ~ (c_Polynomial_OpCons(v19, v21, v22) = v23) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v22) | ~ class_Rings_Ocomm__semiring__1(v19) | c_Groups_Oone__class_Oone(v20) = v23) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (tc_fun(v21, v22) = v23) | ~ class_Orderings_Oord(v22) | ~ c_Orderings_Oord__class_Oless(v23, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(v23, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (tc_fun(v21, v22) = v23) | ~ class_Orderings_Oord(v22) | ~ c_Orderings_Oord__class_Oless(v23, v20, v19) | c_Orderings_Oord__class_Oless__eq(v23, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (tc_fun(v21, v22) = v23) | ~ class_Orderings_Oord(v22) | ~ c_Orderings_Oord__class_Oless__eq(v23, v20, v19) | c_Orderings_Oord__class_Oless(v23, v20, v19) | c_Orderings_Oord__class_Oless__eq(v23, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Opoly(v21, v20) = v22) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Oidom(v21) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Ouminus__class_Ouminus(v21, v19) = v26 & c_Groups_Oone__class_Oone(v21) = v27 & c_Polynomial_OpCons(v21, v27, v28) = v29 & c_Polynomial_OpCons(v21, v26, v29) = v30 & tc_Polynomial_Opoly(v21) = v25 & c_Groups_Ozero__class_Ozero(v25) = v28 & c_Groups_Ozero__class_Ozero(v21) = v24 & ( ~ (v24 = v23) | c_Rings_Odvd__class_Odvd(v25, v30, v20)) & (v24 = v23 | ~ c_Rings_Odvd__class_Odvd(v25, v30, v20)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Opoly(v21, v20) = v22) | ~ (hAPP(v22, v19) = v23) | ~ class_Rings_Oidom(v21) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Oorder(v21, v19, v20) = v27 & tc_Polynomial_Opoly(v21) = v25 & c_Groups_Ozero__class_Ozero(v25) = v26 & c_Groups_Ozero__class_Ozero(v21) = v24 & ( ~ (v27 = v0) | ~ (v24 = v23) | v26 = v20) & (v24 = v23 | (v27 = v0 & ~ (v26 = v20))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Oring__1__no__zero__divisors(v20) | ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v20, v24) = v25 & c_Groups_Oone__class_Oone(v20) = v24 & ( ~ (v24 = v23) | v25 = v19 | v23 = v19) & (v24 = v23 | ( ~ (v25 = v19) & ~ (v24 = v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Olinordered__ring(v20) | ? [v24] : (c_Groups_Ozero__class_Ozero(v20) = v24 & c_Orderings_Oord__class_Oless__eq(v20, v24, v23))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Otimes__class_Otimes(v20) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Olinordered__ring(v20) | ? [v24] : (c_Groups_Ozero__class_Ozero(v20) = v24 & ~ c_Orderings_Oord__class_Oless(v20, v23, v24))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Osmult(v22, v21, v20) = v23) | ~ (c_Polynomial_OpCons(v22, v19, v20) = v23) | ~ class_Rings_Ocomm__semiring__0(v22) | ? [v24] : (tc_Polynomial_Opoly(v22) = v24 & c_Groups_Ozero__class_Ozero(v24) = v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v23) | ~ class_Rings_Olinordered__semidom(v22) | ~ c_Orderings_Oord__class_Oless(v22, v20, v19) | c_Orderings_Oord__class_Oless(v22, v20, v23) | ? [v24] : (c_Groups_Ozero__class_Ozero(v22) = v24 & ~ c_Orderings_Oord__class_Oless(v22, v24, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v23) | ~ class_Groups_Oordered__comm__monoid__add(v22) | ~ c_Orderings_Oord__class_Oless(v22, v20, v19) | c_Orderings_Oord__class_Oless(v22, v20, v23) | ? [v24] : (c_Groups_Ozero__class_Ozero(v22) = v24 & ~ c_Orderings_Oord__class_Oless__eq(v22, v24, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v23) | ~ class_Groups_Oordered__comm__monoid__add(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v20, v19) | c_Orderings_Oord__class_Oless(v22, v20, v23) | ? [v24] : (c_Groups_Ozero__class_Ozero(v22) = v24 & ~ c_Orderings_Oord__class_Oless(v22, v24, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v21, v19) = v23) | ~ class_Groups_Oordered__comm__monoid__add(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v20, v19) | c_Orderings_Oord__class_Oless__eq(v22, v20, v23) | ? [v24] : (c_Groups_Ozero__class_Ozero(v22) = v24 & ~ c_Orderings_Oord__class_Oless__eq(v22, v24, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v23) | ~ (tc_Polynomial_Opoly(v21) = v22) | ~ c_Polynomial_Opos__poly(v21, v20) | ~ c_Polynomial_Opos__poly(v21, v19) | ~ class_Rings_Olinordered__idom(v21) | c_Polynomial_Opos__poly(v21, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v20, v19) = v23) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v20) | ~ c_Rings_Odvd__class_Odvd(v22, v21, v19) | ~ class_Rings_Ocomm__semiring__1(v22) | c_Rings_Odvd__class_Odvd(v22, v21, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(v22, v19, v21) = v23) | ~ class_Groups_Oordered__comm__monoid__add(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v20, v19) | c_Orderings_Oord__class_Oless__eq(v22, v20, v23) | ? [v24] : (c_Groups_Ozero__class_Ozero(v22) = v24 & ~ c_Orderings_Oord__class_Oless__eq(v22, v24, v21))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v22, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v20) = v22) | ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v24) = v23 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v22) | ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v24, v19) = v23 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v22) | ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v19) = v24 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v24) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v22) = v23) | ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v24) = v23 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v21, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v21, v20) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v23) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v6, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v21) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v23) = v21) | ~ (hAPP(v22, v19) = v23) | ~ (hAPP(v6, v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v20) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v10)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v20) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v21, v20) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v24) = v23 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v19) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v21) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v21) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v22) | ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v24, v19) = v23 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v22) = v23) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v22) | ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v24 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v24) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v23) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v22) = v23) | ? [v24] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v24) = v23 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v23) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v23) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v22) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ? [v24] : (c_Nat_OSuc(v19) = v24 & hAPP(v21, v24) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v22) = v23) | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ? [v24] : ? [v25] : (c_Nat_OSuc(v20) = v24 & hAPP(v25, v19) = v23 & hAPP(v1, v24) = v25)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_OpCons(v20, v19, v22) = v23) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ class_Groups_Ozero(v20) | c_Polynomial_Omonom(v20, v19, v0) = v23) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Opoly__gcd(v22, v21, v20) = v23) | ~ class_Fields_Ofield(v22) | ? [v24] : (tc_Polynomial_Opoly(v22) = v24 & ( ~ c_Rings_Odvd__class_Odvd(v24, v19, v23) | (c_Rings_Odvd__class_Odvd(v24, v19, v21) & c_Rings_Odvd__class_Odvd(v24, v19, v20))) & ( ~ c_Rings_Odvd__class_Odvd(v24, v19, v21) | ~ c_Rings_Odvd__class_Odvd(v24, v19, v20) | c_Rings_Odvd__class_Odvd(v24, v19, v23)))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Opoly__gcd(v22, v21, v20) = v23) | ~ class_Fields_Ofield(v22) | ? [v24] : (tc_Polynomial_Opoly(v22) = v24 & ( ~ c_Rings_Odvd__class_Odvd(v24, v19, v21) | ~ c_Rings_Odvd__class_Odvd(v24, v19, v20) | c_Rings_Odvd__class_Odvd(v24, v19, v23)))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ (hAPP(v22, v20) = v23) | ~ class_Rings_Osemiring__0(v21) | ~ class_Rings_Odvd(v21) | ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : (c_Groups_Ozero__class_Ozero(v21) = v24 & ( ! [v31] : ! [v32] : ! [v33] : ( ~ (hAPP(v23, v31) = v32) | ~ (hAPP(v19, v32) = v33) | ~ hBOOL(v33)) | (c_Groups_Oplus__class_Oplus(v21, v28, v24) = v29 & hAPP(v19, v28) = v30 & hBOOL(v30) & c_Rings_Odvd__class_Odvd(v21, v20, v29))) & ((hAPP(v23, v25) = v26 & hAPP(v19, v26) = v27 & hBOOL(v27)) | ( ! [v31] : ! [v32] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v31, v24) = v32) | ~ c_Rings_Odvd__class_Odvd(v21, v20, v32) | ? [v33] : (hAPP(v19, v31) = v33 & ~ hBOOL(v33))) & ! [v31] : ! [v32] : ( ~ (hAPP(v19, v31) = v32) | ~ hBOOL(v32) | ? [v33] : (c_Groups_Oplus__class_Oplus(v21, v31, v24) = v33 & ~ c_Rings_Odvd__class_Odvd(v21, v20, v33))))))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Osmult(v22, v21, v20) = v23) | ~ class_Fields_Ofield(v22) | ? [v24] : ? [v25] : ? [v26] : (tc_Polynomial_Opoly(v22) = v24 & c_Groups_Ozero__class_Ozero(v24) = v26 & c_Groups_Ozero__class_Ozero(v22) = v25 & ( ~ c_Rings_Odvd__class_Odvd(v24, v23, v19) | (( ~ (v25 = v21) | v26 = v19) & (v25 = v21 | c_Rings_Odvd__class_Odvd(v24, v20, v19)))) & (c_Rings_Odvd__class_Odvd(v24, v23, v19) | (v25 = v21 & ~ (v26 = v19)) | ( ~ (v25 = v21) & ~ c_Rings_Odvd__class_Odvd(v24, v20, v19))))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Osmult(v22, v21, v20) = v23) | ~ class_Fields_Ofield(v22) | ? [v24] : ? [v25] : (tc_Polynomial_Opoly(v22) = v25 & c_Groups_Ozero__class_Ozero(v22) = v24 & (v24 = v21 | (( ~ c_Rings_Odvd__class_Odvd(v25, v19, v23) | c_Rings_Odvd__class_Odvd(v25, v19, v20)) & ( ~ c_Rings_Odvd__class_Odvd(v25, v19, v20) | c_Rings_Odvd__class_Odvd(v25, v19, v23)))))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Osmult(v22, v21, v20) = v23) | ~ class_Fields_Ofield(v22) | ? [v24] : ? [v25] : (tc_Polynomial_Opoly(v22) = v24 & c_Groups_Ozero__class_Ozero(v22) = v25 & (v25 = v21 | ~ c_Rings_Odvd__class_Odvd(v24, v19, v23) | c_Rings_Odvd__class_Odvd(v24, v19, v20)))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Osmult(v22, v21, v20) = v23) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v24] : (tc_Polynomial_Opoly(v22) = v24 & ( ~ c_Rings_Odvd__class_Odvd(v24, v23, v19) | c_Rings_Odvd__class_Odvd(v24, v20, v19)))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Osmult(v22, v20, v21) = v23) | ~ class_Fields_Ofield(v22) | ? [v24] : ? [v25] : (tc_Polynomial_Opoly(v22) = v24 & c_Groups_Ozero__class_Ozero(v22) = v25 & (v25 = v20 | ~ c_Rings_Odvd__class_Odvd(v24, v21, v19) | c_Rings_Odvd__class_Odvd(v24, v23, v19)))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (c_Polynomial_Osmult(v22, v20, v21) = v23) | ~ class_Rings_Ocomm__semiring__1(v22) | ? [v24] : (tc_Polynomial_Opoly(v22) = v24 & ( ~ c_Rings_Odvd__class_Odvd(v24, v19, v21) | c_Rings_Odvd__class_Odvd(v24, v19, v23)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Divides_Odiv__class_Omod(v20, v21, v19) = v22) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Divides_Osemiring__div(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Rings_Odivision__ring__inverse__zero(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Polynomial_Opoly__gcd(v19, v21, v21) = v22) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Fields_Ofield(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Polynomial_Ocoeff(v20, v19) = v22) | ~ (c_Polynomial_Ocoeff(v20, v19) = v21) | ~ class_Groups_Ozero(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Groups_Ouminus__class_Ouminus(v20, v21) = v22) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Groups_Oab__group__add(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Groups_Ogroup__add(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Lattices_Oboolean__algebra(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Polynomial_Opoly(v20, v19) = v22) | ~ (c_Polynomial_Opoly(v20, v19) = v21) | ~ class_Int_Oring__char__0(v20) | ~ class_Rings_Oidom(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v21 | ~ (hAPP(v3, v20) = v21) | ~ (hAPP(v3, v19) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v19) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v19) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v21) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v21) = v22) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v21) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v20 | ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v19) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ class_Groups_Ogroup__add(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Ominus__class_Ominus(v20, v19, v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Groups_Ogroup__add(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v21) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v21) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Divides_Odiv__class_Omod(v20, v19, v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Divides_Osemiring__div(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Rings_Oinverse__class_Oinverse(v20, v21) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Rings_Odivision__ring(v20) | c_Groups_Ozero__class_Ozero(v20) = v19) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Rings_Oinverse__class_Oinverse(v20, v21) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Rings_Odivision__ring__inverse__zero(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v20) | ~ class_Groups_Ogroup__add(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Ouminus__class_Ouminus(v20, v21) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Groups_Ogroup__add(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Ouminus__class_Ouminus(v20, v21) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Lattices_Oboolean__algebra(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Oone__class_Oone(v20) = v21) | ~ (c_Polynomial_Osmult(v20, v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Oplus__class_Oplus(v20, v21, v19) = v22) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Rings_Ocomm__semiring__1(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Oplus__class_Oplus(v20, v21, v19) = v22) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Groups_Omonoid__add(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Oplus__class_Oplus(v20, v21, v19) = v22) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Groups_Ocomm__monoid__add(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Rings_Ocomm__semiring__1(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Groups_Omonoid__add(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v19 | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v21) = v22) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Groups_Ocomm__monoid__add(v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v9 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v21, v19) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v21) | ? [v23] : ( ~ (v23 = v9) & c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v9 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v21) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v21) | ? [v23] : ( ~ (v23 = v9) & c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v0 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v21, v19) = v22) | ~ (c_Nat_OSuc(v20) = v21) | ? [v23] : ? [v24] : ( ~ (v24 = v19) & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v23 & c_Nat_OSuc(v23) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v0 | ~ (c_Polynomial_Odegree(v19, v21) = v22) | ~ (c_Groups_Oone__class_Oone(v20) = v21) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__1(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v22 = v0 | ~ (c_Polynomial_Odegree(v19, v21) = v22) | ~ (tc_Polynomial_Opoly(v19) = v20) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Groups_Ozero(v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v21 = v19 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v21) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Rings_Oinverse__class_Oinverse(v22, v21) = v20) | ~ (c_Rings_Oinverse__class_Oinverse(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v22) | ~ class_Rings_Odivision__ring(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & (v23 = v20 | v23 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Rings_Oinverse__class_Oinverse(v21, v20) = v22) | ~ (c_Rings_Oinverse__class_Oinverse(v21, v19) = v22) | ~ class_Rings_Odivision__ring__inverse__zero(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Polynomial_Ocoeff(v22, v21) = v20) | ~ (c_Polynomial_Ocoeff(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Polynomial_Ocoeff(v21, v20) = v22) | ~ (c_Polynomial_Ocoeff(v21, v19) = v22) | ~ class_Groups_Ozero(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Groups_Ouminus__class_Ouminus(v22, v21) = v20) | ~ (c_Groups_Ouminus__class_Ouminus(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ class_Groups_Ogroup__add(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ class_Lattices_Oboolean__algebra(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Polynomial_Odegree(v22, v21) = v20) | ~ (c_Polynomial_Odegree(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (tc_fun(v22, v21) = v20) | ~ (tc_fun(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Polynomial_Opoly(v22, v21) = v20) | ~ (c_Polynomial_Opoly(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Polynomial_Opoly(v21, v20) = v22) | ~ (c_Polynomial_Opoly(v21, v19) = v22) | ~ class_Int_Oring__char__0(v21) | ~ class_Rings_Oidom(v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_fequal(v22, v21) = v20) | ~ (c_fequal(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v20 = v19 | ~ (hAPP(v22, v21) = v20) | ~ (hAPP(v22, v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = v2 | ~ (hAPP(v21, v20) = v22) | ~ (hAPP(v1, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v22, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = v2 | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v22, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : (v19 = v0 | ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v7, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v22) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ class_Groups_Oordered__ab__group__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ c_Orderings_Oord__class_Oless(v21, v22, v23) | c_Orderings_Oord__class_Oless(v21, v20, v19)) & ( ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | c_Orderings_Oord__class_Oless(v21, v22, v23)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ class_Groups_Oordered__ab__group__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v22, v23) | c_Orderings_Oord__class_Oless__eq(v21, v20, v19)) & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | c_Orderings_Oord__class_Oless__eq(v21, v22, v23)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ class_Groups_Ogroup__add(v21) | ? [v23] : (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23 & c_Groups_Oplus__class_Oplus(v21, v20, v23) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ class_Groups_Ogroup__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ (v23 = v22) | v20 = v19) & ( ~ (v20 = v19) | v23 = v22))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ class_Groups_Oab__group__add(v21) | ? [v23] : (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23 & c_Groups_Oplus__class_Oplus(v21, v20, v23) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ class_Groups_Oab__group__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ (v23 = v22) | v20 = v19) & ( ~ (v20 = v19) | v23 = v22))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v22) | ~ class_Rings_Ocomm__ring__1(v21) | ? [v23] : (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23 & c_Groups_Oplus__class_Oplus(v21, v20, v23) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v21, v19, v20) = v22) | ~ class_Groups_Oab__group__add(v21) | ? [v23] : (c_Groups_Ominus__class_Ominus(v21, v20, v19) = v23 & c_Groups_Ouminus__class_Ouminus(v21, v23) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(v20, v21, v19) = v22) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Groups_Ogroup__add(v20) | c_Groups_Ouminus__class_Ouminus(v20, v19) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v20) = v22) | ~ (c_Nat_OSuc(v19) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | ? [v23] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v23 & c_Nat_OSuc(v23) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v19) = v22) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v2) = v21) | ? [v23] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v23) = v22 & c_Nat_OSuc(v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v21) = v22) | ~ (c_Nat_OSuc(v19) = v21) | ? [v23] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v23, v19) = v22 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v2) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v22) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v20) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v22) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v20) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v21) | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v21, v19) = v22) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v22 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v21) | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v21, v20) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v20) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v21, v20, v19) = v22) | ~ class_Divides_Osemiring__div(v21) | c_Divides_Odiv__class_Omod(v21, v22, v19) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v21, v20, v19) = v22) | ~ class_Divides_Osemiring__div(v21) | ? [v23] : (c_Divides_Odiv__class_Omod(v21, v23, v19) = v22 & c_Groups_Oplus__class_Oplus(v21, v20, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v21, v19, v20) = v22) | ~ class_Divides_Osemiring__div(v21) | ~ c_Rings_Odvd__class_Odvd(v21, v20, v19) | c_Groups_Ozero__class_Ozero(v21) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v21, v19, v20) = v22) | ~ class_Divides_Osemiring__div(v21) | ? [v23] : (c_Divides_Odiv__class_Omod(v21, v23, v20) = v22 & c_Groups_Oplus__class_Oplus(v21, v20, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v21, v19, v20) = v22) | ~ class_Divides_Osemiring__div(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ (v23 = v22) | c_Rings_Odvd__class_Odvd(v21, v20, v19)) & (v23 = v22 | ~ c_Rings_Odvd__class_Odvd(v21, v20, v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(v20, v19, v21) = v22) | ~ (c_Groups_Oone__class_Oone(v20) = v21) | ~ class_Divides_Osemiring__div(v20) | c_Groups_Ozero__class_Ozero(v20) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v21, v19) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v21) | ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v24, v19) = v22 & c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v23 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v23) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v21, v19) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v21) | ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v23) = v24 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v22) = v24 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v21) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v21) | ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v23, v19) = v24 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v24) = v22 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v22) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v19) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v22) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v19) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v21, v19) = v22) | ~ (c_Nat_OSuc(v20) = v21) | ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v24, v19) = v22 & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v23 & c_Nat_OSuc(v23) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v21, v19) = v22) | ~ (c_Nat_OSuc(v20) = v21) | ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v23 & c_Nat_OSuc(v23) = v24 & (v24 = v22 | v24 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v21) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Rings_Odivision__ring(v20) | ? [v23] : ? [v24] : ? [v25] : (c_Rings_Oinverse__class_Oinverse(v20, v19) = v24 & c_Groups_Ouminus__class_Ouminus(v20, v24) = v25 & c_Groups_Ozero__class_Ozero(v20) = v23 & (v25 = v22 | v23 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v21) = v22) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Rings_Odivision__ring__inverse__zero(v20) | ? [v23] : (c_Rings_Oinverse__class_Oinverse(v20, v19) = v23 & c_Groups_Ouminus__class_Ouminus(v20, v23) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v21) = v22) | ~ class_Rings_Odivision__ring(v20) | ? [v23] : ? [v24] : ? [v25] : (c_Rings_Oinverse__class_Oinverse(v20, v24) = v25 & c_Groups_Ouminus__class_Ouminus(v20, v19) = v24 & c_Groups_Ozero__class_Ozero(v20) = v23 & (v25 = v22 | v23 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ (c_Groups_Ouminus__class_Ouminus(v20, v21) = v22) | ~ class_Rings_Odivision__ring__inverse__zero(v20) | ? [v23] : (c_Rings_Oinverse__class_Oinverse(v20, v23) = v22 & c_Groups_Ouminus__class_Ouminus(v20, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v21, v20, v19) = v22) | ~ class_Fields_Ofield(v21) | c_Polynomial_Opoly__gcd(v21, v19, v20) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v21, v20, v19) = v22) | ~ class_Fields_Ofield(v21) | ? [v23] : ? [v24] : (c_Polynomial_Opoly__gcd(v21, v24, v19) = v22 & c_Groups_Ouminus__class_Ouminus(v23, v20) = v24 & tc_Polynomial_Opoly(v21) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v21, v20, v19) = v22) | ~ class_Fields_Ofield(v21) | ? [v23] : ? [v24] : (c_Polynomial_Opoly__gcd(v21, v20, v24) = v22 & c_Groups_Ouminus__class_Ouminus(v23, v19) = v24 & tc_Polynomial_Opoly(v21) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v21, v20, v19) = v22) | ~ class_Fields_Ofield(v21) | ? [v23] : ? [v24] : (tc_Polynomial_Opoly(v21) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & ( ~ (v24 = v22) | (v22 = v19 & v20 = v19)) & ( ~ (v24 = v19) | ~ (v20 = v19) | v22 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v21, v20, v19) = v22) | ~ class_Fields_Ofield(v21) | ? [v23] : (tc_Polynomial_Opoly(v21) = v23 & c_Rings_Odvd__class_Odvd(v23, v22, v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v21, v20, v19) = v22) | ~ class_Fields_Ofield(v21) | ? [v23] : (tc_Polynomial_Opoly(v21) = v23 & c_Rings_Odvd__class_Odvd(v23, v22, v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v21, v19, v20) = v22) | ~ class_Fields_Ofield(v21) | c_Polynomial_Opoly__gcd(v21, v20, v19) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v21, v19, v20) = v22) | ~ class_Fields_Ofield(v21) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : (c_Divides_Odiv__class_Omod(v23, v19, v20) = v30 & c_Rings_Oinverse__class_Oinverse(v21, v27) = v28 & c_Polynomial_Opoly__gcd(v21, v20, v30) = v31 & c_Polynomial_Ocoeff(v21, v19) = v25 & c_Polynomial_Odegree(v21, v19) = v26 & c_Polynomial_Osmult(v21, v28, v19) = v29 & tc_Polynomial_Opoly(v21) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & hAPP(v25, v26) = v27 & ( ~ (v24 = v20) | v29 = v22) & (v31 = v22 | v24 = v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Opoly__gcd(v21, v19, v20) = v22) | ~ class_Fields_Ofield(v21) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (c_Divides_Odiv__class_Omod(v23, v19, v20) = v25 & c_Polynomial_Opoly__gcd(v21, v20, v25) = v26 & tc_Polynomial_Opoly(v21) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & (v26 = v22 | v24 = v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower_Opower(v19, v20, v21) = v22) | ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ (c_Groups_Otimes__class_Otimes(v19) = v21) | ~ class_Power_Opower(v19) | c_Power_Opower__class_Opower(v19) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Nat_OSuc(v22) = v20) | ~ (c_Nat_OSuc(v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Nat_OSuc(v21) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Nat_OSuc(v20) = v21) | ~ (c_Nat_OSuc(v19) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Nat_OSuc(v20) = v21) | ~ (c_Nat_OSuc(v19) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Nat_OSuc(v20) = v21) | ~ (c_Nat_OSuc(v19) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v22) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Nat_OSuc(v20) = v21) | ~ (c_Nat_OSuc(v19) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Nat_OSuc(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v22) | ? [v23] : (c_Nat_OSuc(v23) = v22 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Nat_OSuc(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v19) = v22) | ? [v23] : (c_Nat_OSuc(v19) = v23 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v23) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Nat_OSuc(v19) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v21) = v22) | ? [v23] : (c_Nat_OSuc(v23) = v22 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Nat_OSuc(v19) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v21) = v22) | ? [v23] : (c_Nat_OSuc(v20) = v23 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v23, v19) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v21, v19) = v22) | ~ class_Power_Opower(v20) | ? [v23] : (c_Groups_Oone__class_Oone(v20) = v23 & hAPP(v22, v0) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v21, v19) = v22) | ~ class_Groups_Omonoid__mult(v20) | hAPP(v22, v2) = v19) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20) | hAPP(v22, v2) = v19) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Power_Opower__class_Opower(v20) = v21) | ~ (hAPP(v21, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v23] : (c_Groups_Oone__class_Oone(v20) = v23 & hAPP(v22, v0) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ class_Rings_Ocomm__ring__1(v21) | ~ c_Rings_Odvd__class_Odvd(v21, v22, v19) | c_Rings_Odvd__class_Odvd(v21, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v20) = v22) | ~ class_Rings_Ocomm__ring__1(v21) | ~ c_Rings_Odvd__class_Odvd(v21, v20, v19) | c_Rings_Odvd__class_Odvd(v21, v22, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Rings_Olinordered__idom(v20) | c_Groups_Ozero__class_Ozero(v21) = v19 | c_Polynomial_Opos__poly(v20, v22) | c_Polynomial_Opos__poly(v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ class_Rings_Ocomm__ring__1(v21) | ~ c_Rings_Odvd__class_Odvd(v21, v20, v22) | c_Rings_Odvd__class_Odvd(v21, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v21, v19) = v22) | ~ class_Rings_Ocomm__ring__1(v21) | ~ c_Rings_Odvd__class_Odvd(v21, v20, v19) | c_Rings_Odvd__class_Odvd(v21, v20, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v21, v19) = v22) | ~ class_Groups_Ogroup__add(v20) | c_Groups_Ozero__class_Ozero(v20) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v21, v19) = v22) | ~ class_Groups_Oab__group__add(v20) | c_Groups_Ozero__class_Ozero(v20) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v21) = v22) | ~ class_Groups_Ogroup__add(v20) | c_Groups_Ozero__class_Ozero(v20) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Omonom(v21, v20, v19) = v22) | ~ class_Groups_Ozero(v21) | ? [v23] : ? [v24] : ? [v25] : (tc_Polynomial_Opoly(v21) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ (v25 = v20) | v24 = v22) & ( ~ (v24 = v22) | v25 = v20))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Omonom(v20, v21, v19) = v22) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Groups_Ozero(v20) | ? [v23] : (tc_Polynomial_Opoly(v20) = v23 & c_Groups_Ozero__class_Ozero(v23) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Odegree(v21, v19) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v22) | ~ class_Groups_Ozero(v21) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ( ~ (v26 = v24) & c_Polynomial_Ocoeff(v21, v19) = v23 & c_Groups_Ozero__class_Ozero(v21) = v24 & hAPP(v23, v25) = v26 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v25))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oone__class_Oone(v20) = v21) | ~ (c_Groups_Oplus__class_Oplus(v20, v19, v21) = v22) | ~ class_Rings_Olinordered__semidom(v20) | c_Orderings_Oord__class_Oless(v20, v19, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Oorder(v21, v19, v20) = v22) | ~ class_Rings_Oidom(v21) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Polynomial_Opoly(v21, v20) = v23 & tc_Polynomial_Opoly(v21) = v26 & c_Groups_Ozero__class_Ozero(v26) = v27 & c_Groups_Ozero__class_Ozero(v21) = v25 & hAPP(v23, v19) = v24 & ( ~ (v25 = v24) | ~ (v22 = v0) | v27 = v20) & (v25 = v24 | (v22 = v0 & ~ (v27 = v20))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Oorder(v21, v19, v20) = v22) | ~ class_Rings_Oidom(v21) | ? [v23] : ? [v24] : ? [v25] : (c_Polynomial_Odegree(v21, v20) = v25 & tc_Polynomial_Opoly(v21) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & (v24 = v20 | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v25)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Osynthetic__div(v21, v20, v19) = v22) | ~ class_Rings_Ocomm__semiring__0(v21) | ? [v23] : ? [v24] : ? [v25] : (c_Polynomial_Odegree(v21, v20) = v25 & tc_Polynomial_Opoly(v21) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & ( ~ (v25 = v0) | v24 = v22) & ( ~ (v24 = v22) | v25 = v0))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Osmult(v21, v20, v19) = v22) | ~ class_Rings_Oidom(v21) | ? [v23] : ? [v24] : ? [v25] : (tc_Polynomial_Opoly(v21) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ (v24 = v22) | v25 = v20 | v22 = v19) & (v24 = v22 | ( ~ (v25 = v20) & ~ (v24 = v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Osmult(v20, v21, v19) = v22) | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Rings_Ocomm__semiring__0(v20) | ? [v23] : (tc_Polynomial_Opoly(v20) = v23 & c_Groups_Ozero__class_Ozero(v23) = v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Ogroup__add(v21) | ? [v23] : ? [v24] : (c_Groups_Ouminus__class_Ouminus(v21, v20) = v24 & c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ (v24 = v19) | v23 = v22) & ( ~ (v23 = v22) | v24 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Ogroup__add(v21) | ? [v23] : ? [v24] : (c_Groups_Ouminus__class_Ouminus(v21, v20) = v24 & c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ (v23 = v22) | v24 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Ogroup__add(v21) | ? [v23] : ? [v24] : (c_Groups_Ouminus__class_Ouminus(v21, v19) = v23 & c_Groups_Ozero__class_Ozero(v21) = v24 & ( ~ (v24 = v22) | v23 = v20) & ( ~ (v23 = v20) | v24 = v22))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Ogroup__add(v21) | ? [v23] : (c_Groups_Ominus__class_Ominus(v21, v20, v23) = v22 & c_Groups_Ouminus__class_Ouminus(v21, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Oordered__comm__monoid__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ c_Orderings_Oord__class_Oless(v21, v23, v20) | ~ c_Orderings_Oord__class_Oless(v21, v23, v19) | c_Orderings_Oord__class_Oless(v21, v23, v22)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Oordered__comm__monoid__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ c_Orderings_Oord__class_Oless(v21, v23, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v23, v19) | c_Orderings_Oord__class_Oless(v21, v23, v22)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Oordered__comm__monoid__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ c_Orderings_Oord__class_Oless(v21, v23, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v23, v20) | c_Orderings_Oord__class_Oless(v21, v23, v22)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Oordered__comm__monoid__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ c_Orderings_Oord__class_Oless(v21, v20, v23) | ~ c_Orderings_Oord__class_Oless(v21, v19, v23) | c_Orderings_Oord__class_Oless(v21, v22, v23)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Oordered__comm__monoid__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ c_Orderings_Oord__class_Oless(v21, v20, v23) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v23) | c_Orderings_Oord__class_Oless(v21, v22, v23)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Oordered__comm__monoid__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ c_Orderings_Oord__class_Oless(v21, v19, v23) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v23) | c_Orderings_Oord__class_Oless(v21, v22, v23)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Oordered__comm__monoid__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v23, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v23, v19) | c_Orderings_Oord__class_Oless__eq(v21, v23, v22)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Oordered__comm__monoid__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v23, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v23, v19) | (( ~ (v23 = v22) | (v22 = v19 & v20 = v19)) & ( ~ (v23 = v19) | ~ (v20 = v19) | v22 = v19))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Groups_Oordered__comm__monoid__add(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v23) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v23) | c_Orderings_Oord__class_Oless__eq(v21, v22, v23)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Rings_Ocomm__semiring__1(v21) | c_Groups_Oplus__class_Oplus(v21, v19, v20) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v21) | ? [v23] : (c_Groups_Ozero__class_Ozero(v21) = v23 & ( ~ (v23 = v19) | v22 = v20) & ( ~ (v22 = v20) | v23 = v19))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(v21, v19, v20) = v22) | ~ class_Rings_Ocomm__semiring__1(v21) | c_Groups_Oplus__class_Oplus(v21, v20, v19) = v22) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v21, v20) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v22) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v22) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_OpCons(v21, v20, v19) = v22) | ~ class_Rings_Olinordered__idom(v21) | ? [v23] : ? [v24] : ? [v25] : (tc_Polynomial_Opoly(v21) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ c_Polynomial_Opos__poly(v21, v22) | c_Polynomial_Opos__poly(v21, v19) | (v24 = v19 & c_Orderings_Oord__class_Oless(v21, v25, v20))) & (c_Polynomial_Opos__poly(v21, v22) | ( ~ c_Polynomial_Opos__poly(v21, v19) & ( ~ (v24 = v19) | ~ c_Orderings_Oord__class_Oless(v21, v25, v20)))))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_OpCons(v21, v20, v19) = v22) | ~ class_Groups_Ozero(v21) | ? [v23] : ? [v24] : ? [v25] : (tc_Polynomial_Opoly(v21) = v23 & c_Groups_Ozero__class_Ozero(v23) = v24 & c_Groups_Ozero__class_Ozero(v21) = v25 & ( ~ (v25 = v20) | ~ (v24 = v19) | v22 = v19) & ( ~ (v24 = v22) | (v25 = v20 & v22 = v19)))) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v20) = v22) | ~ (hAPP(v6, v19) = v21) | ? [v23] : (hAPP(v23, v19) = v22 & hAPP(v6, v20) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v20) = v22) | ~ (hAPP(v1, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v20) = v22) | ~ (hAPP(v1, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v20) = v22) | ~ (hAPP(v1, v19) = v21) | ? [v23] : (hAPP(v23, v19) = v22 & hAPP(v1, v20) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v7, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v7, v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v6, v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v6, v20) = v21) | ? [v23] : ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v22) = v25 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v23 & hAPP(v24, v19) = v25 & hAPP(v6, v23) = v24)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v6, v20) = v21) | ? [v23] : (hAPP(v23, v20) = v22 & hAPP(v6, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v5, v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v20) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v22) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v22) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v22) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v22) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v21, v19) = v22) | ~ (hAPP(v1, v20) = v21) | ? [v23] : (hAPP(v23, v20) = v22 & hAPP(v1, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v20, v21) = v22) | ~ (hAPP(v20, v19) = v21) | ~ (hAPP(v1, v19) = v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (hAPP(v3, v20) = v21) | ~ (hAPP(v3, v19) = v22) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v22)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ class_Orderings_Oorder(v22) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | ~ c_Orderings_Oord__class_Oless(v22, v19, v21) | c_Orderings_Oord__class_Oless(v22, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ class_Orderings_Oorder(v22) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(v22, v19, v21) | c_Orderings_Oord__class_Oless(v22, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ class_Orderings_Oorder(v22) | ~ c_Orderings_Oord__class_Oless(v22, v19, v21) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | c_Orderings_Oord__class_Oless(v22, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ class_Orderings_Oorder(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(v22, v19, v21) | c_Orderings_Oord__class_Oless__eq(v22, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ class_Orderings_Opreorder(v22) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | ~ c_Orderings_Oord__class_Oless(v22, v20, v19) | c_Orderings_Oord__class_Oless(v22, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ class_Orderings_Opreorder(v22) | ~ c_Orderings_Oord__class_Oless(v22, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(v22, v20, v19) | c_Orderings_Oord__class_Oless(v22, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ class_Orderings_Opreorder(v22) | ~ c_Orderings_Oord__class_Oless(v22, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | c_Orderings_Oord__class_Oless(v22, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ class_Orderings_Opreorder(v22) | ~ c_Orderings_Oord__class_Oless__eq(v22, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(v22, v20, v19) | c_Orderings_Oord__class_Oless__eq(v22, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ c_Rings_Odvd__class_Odvd(v22, v21, v20) | ~ c_Rings_Odvd__class_Odvd(v22, v20, v19) | ~ class_Rings_Ocomm__semiring__1(v22) | c_Rings_Odvd__class_Odvd(v22, v21, v19)) & ? [v19] : ? [v20] : ! [v21] : ! [v22] : ! [v23] : ( ~ (tc_fun(v21, v22) = v23) | ~ class_Orderings_Oord(v22) | c_Orderings_Oord__class_Oless__eq(v23, v20, v19) | ? [v24] : ? [v25] : ? [v26] : (hAPP(v20, v24) = v25 & hAPP(v19, v24) = v26 & ~ c_Orderings_Oord__class_Oless__eq(v22, v25, v26))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Ocoeff(v21, v20) = v22) | ~ class_Groups_Ozero(v21) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (c_Polynomial_Odegree(v21, v20) = v24 & c_Groups_Ozero__class_Ozero(v21) = v23 & (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v24, v19) | ( ~ (v26 = v23) & hAPP(v22, v25) = v26 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v25))))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Ocoeff(v21, v20) = v22) | ~ class_Groups_Ozero(v21) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : (c_Polynomial_Odegree(v21, v20) = v23 & c_Groups_Ozero__class_Ozero(v21) = v24 & ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v23) | ( ~ (v26 = v24) & hAPP(v22, v25) = v26 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v25))))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Polynomial_Odegree(v21, v20) = v22) | ~ class_Groups_Ozero(v21) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v22, v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ( ~ (v26 = v24) & c_Polynomial_Ocoeff(v21, v20) = v23 & c_Groups_Ozero__class_Ozero(v21) = v24 & hAPP(v23, v25) = v26 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v25))) & ? [v19] : ! [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v21) = v22) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | ? [v23] : ( ~ (v23 = v19) & c_Nat_OSuc(v22) = v23)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v9)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Rings_Oinverse__class_Oinverse(v19, v20) = v21) | ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ class_Rings_Odivision__ring(v19)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Rings_Oinverse__class_Oinverse(v19, v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Fields_Ofield__inverse__zero(v19)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Rings_Oinverse__class_Oinverse(v19, v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Rings_Odivision__ring__inverse__zero(v19)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Nat_OSuc(v19) = v21) | ~ (c_Nat_OSuc(v19) = v20)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Nat_OSuc(v19) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v21) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v20 | ~ (c_Groups_Ouminus__class_Ouminus(v19, v20) = v21) | ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Groups_Ogroup__add(v19)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v19 | ~ (c_Nat_OSuc(v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v19 | ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ c_Rings_Odvd__class_Odvd(v20, v21, v19) | ~ class_Rings_Ocomm__semiring__1(v20)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v9 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v21) | ? [v22] : (hAPP(v6, v19) = v22 & ! [v23] : ~ (hAPP(v22, v23) = v20))) & ! [v19] : ! [v20] : ! [v21] : (v21 = v9 | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v21)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v2 | ~ (hAPP(v20, v0) = v21) | ~ (hAPP(v7, v19) = v20)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : (v21 = v0 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v21) | ? [v22] : (hAPP(v1, v19) = v22 & ! [v23] : ~ (hAPP(v22, v23) = v20))) & ! [v19] : ! [v20] : ! [v21] : (v21 = v0 | ~ (hAPP(v20, v0) = v21) | ~ (hAPP(v1, v19) = v20)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (c_Nat_OSuc(v21) = v20) | ~ (c_Nat_OSuc(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (c_Nat_OSuc(v20) = v21) | ~ (c_Nat_OSuc(v19) = v21)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (c_Nat_OSuc(v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (c_Nat_OSuc(v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (c_Power_Opower__class_Opower(v21) = v20) | ~ (c_Power_Opower__class_Opower(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (c_Groups_Oone__class_Oone(v21) = v20) | ~ (c_Groups_Oone__class_Oone(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (c_Groups_Otimes__class_Otimes(v21) = v20) | ~ (c_Groups_Otimes__class_Otimes(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (c_fequal(v20, v19) = v21) | ~ hBOOL(v21)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v10) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v21) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (tc_Polynomial_Opoly(v21) = v20) | ~ (tc_Polynomial_Opoly(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ (c_Groups_Ozero__class_Ozero(v21) = v20) | ~ (c_Groups_Ozero__class_Ozero(v21) = v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ class_Orderings_Olinorder(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | c_Orderings_Oord__class_Oless(v21, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ class_Orderings_Oorder(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ class_Orderings_Oorder(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | c_Orderings_Oord__class_Oless(v21, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v19 | ~ class_Orderings_Oorder(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v20) | c_Orderings_Oord__class_Oless(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v10 | ~ (hAPP(v21, v19) = v10) | ~ (hAPP(v6, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v20)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v2 | v19 = v0 | ~ (hAPP(v21, v19) = v2) | ~ (hAPP(v7, v20) = v21)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v2 | ~ (hAPP(v21, v19) = v2) | ~ (hAPP(v1, v20) = v21)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v0 | v19 = v2 | ~ (hAPP(v21, v19) = v20) | ~ (hAPP(v1, v20) = v21)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v0 | v19 = v0 | ~ (hAPP(v21, v19) = v0) | ~ (hAPP(v1, v20) = v21)) & ! [v19] : ! [v20] : ! [v21] : (v20 = v0 | ~ (c_Nat_OSuc(v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21) | ? [v22] : (c_Nat_OSuc(v22) = v20 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v19))) & ! [v19] : ! [v20] : ! [v21] : (v19 = v10 | ~ (hAPP(v21, v19) = v10) | ~ (hAPP(v6, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v20)) & ! [v19] : ! [v20] : ! [v21] : (v19 = v2 | ~ (hAPP(v21, v19) = v2) | ~ (hAPP(v1, v20) = v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(v20, v19, v19) = v21) | ~ class_Groups_Ogroup__add(v20) | c_Groups_Ozero__class_Ozero(v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v21) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v21) | ? [v22] : ? [v23] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v23) = v21 & c_Nat_OSuc(v20) = v22 & c_Nat_OSuc(v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v21) | ? [v22] : (c_Nat_OSuc(v20) = v22 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | ? [v22] : ? [v23] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v22, v20) = v23 & c_Nat_OSuc(v21) = v23 & c_Nat_OSuc(v19) = v22)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(v20, v19, v19) = v21) | ~ class_Divides_Osemiring__div(v20) | c_Groups_Ozero__class_Ozero(v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v20) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v21) | ? [v22] : ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v22, v23) = v24 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v21) = v24 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v22 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v19, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v9) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v19, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v9) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v21, v9)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v19, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v20) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v21) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | ? [v22] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v22 & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v22, v19) = v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v21) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v21) | ? [v22] : ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v23, v19) = v24 & c_Nat_OSuc(v21) = v22 & c_Nat_OSuc(v20) = v23 & ( ~ (v22 = v19) | v24 = v0))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v21) | ? [v22] : ? [v23] : ? [v24] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v23, v19) = v24 & c_Nat_OSuc(v21) = v22 & c_Nat_OSuc(v20) = v23 & (v24 = v22 | v22 = v19))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | ? [v22] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v22 & c_Divides_Odiv__class_Omod(tc_Nat_Onat, v22, v20) = v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Ofield__inverse__zero(v20) | ? [v22] : (c_Groups_Oone__class_Oone(v20) = v22 & ( ~ (v22 = v21) | v21 = v19) & ( ~ (v22 = v19) | v21 = v19))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field__inverse__zero(v20) | ? [v22] : ? [v23] : (c_Groups_Oone__class_Oone(v20) = v22 & c_Groups_Ozero__class_Ozero(v20) = v23 & ( ~ c_Orderings_Oord__class_Oless(v20, v23, v19) | ~ c_Orderings_Oord__class_Oless(v20, v19, v22) | c_Orderings_Oord__class_Oless(v20, v22, v21)) & ( ~ c_Orderings_Oord__class_Oless(v20, v22, v21) | (c_Orderings_Oord__class_Oless(v20, v23, v19) & c_Orderings_Oord__class_Oless(v20, v19, v22))))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field__inverse__zero(v20) | ? [v22] : ? [v23] : (c_Groups_Oone__class_Oone(v20) = v22 & c_Groups_Ozero__class_Ozero(v20) = v23 & ( ~ c_Orderings_Oord__class_Oless(v20, v23, v19) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v22) | c_Orderings_Oord__class_Oless__eq(v20, v22, v21)) & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v22, v21) | (c_Orderings_Oord__class_Oless(v20, v23, v19) & c_Orderings_Oord__class_Oless__eq(v20, v19, v22))))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field__inverse__zero(v20) | ? [v22] : ? [v23] : (c_Groups_Oone__class_Oone(v20) = v22 & c_Groups_Ozero__class_Ozero(v20) = v23 & ( ~ c_Orderings_Oord__class_Oless(v20, v21, v22) | c_Orderings_Oord__class_Oless(v20, v22, v19) | c_Orderings_Oord__class_Oless__eq(v20, v19, v23)) & (c_Orderings_Oord__class_Oless(v20, v21, v22) | ( ~ c_Orderings_Oord__class_Oless(v20, v22, v19) & ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v23))))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field__inverse__zero(v20) | ? [v22] : ? [v23] : (c_Groups_Oone__class_Oone(v20) = v22 & c_Groups_Ozero__class_Ozero(v20) = v23 & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v21, v22) | c_Orderings_Oord__class_Oless__eq(v20, v22, v19) | c_Orderings_Oord__class_Oless__eq(v20, v19, v23)) & (c_Orderings_Oord__class_Oless__eq(v20, v21, v22) | ( ~ c_Orderings_Oord__class_Oless__eq(v20, v22, v19) & ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v23))))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field__inverse__zero(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v22, v21) | c_Orderings_Oord__class_Oless(v20, v22, v19)) & ( ~ c_Orderings_Oord__class_Oless(v20, v22, v19) | c_Orderings_Oord__class_Oless(v20, v22, v21)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field__inverse__zero(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v21, v22) | c_Orderings_Oord__class_Oless(v20, v19, v22)) & ( ~ c_Orderings_Oord__class_Oless(v20, v19, v22) | c_Orderings_Oord__class_Oless(v20, v21, v22)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field__inverse__zero(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v22, v21) | c_Orderings_Oord__class_Oless__eq(v20, v22, v19)) & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v22, v19) | c_Orderings_Oord__class_Oless__eq(v20, v22, v21)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field__inverse__zero(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v21, v22) | c_Orderings_Oord__class_Oless__eq(v20, v19, v22)) & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v22) | c_Orderings_Oord__class_Oless__eq(v20, v21, v22)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field(v20) | ? [v22] : ? [v23] : (c_Groups_Oone__class_Oone(v20) = v23 & c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v22, v19) | ~ c_Orderings_Oord__class_Oless(v20, v19, v23) | c_Orderings_Oord__class_Oless(v20, v23, v21)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field(v20) | ? [v22] : ? [v23] : (c_Groups_Oone__class_Oone(v20) = v23 & c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v22, v19) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v23) | c_Orderings_Oord__class_Oless__eq(v20, v23, v21)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & (v22 = v19 | ~ c_Orderings_Oord__class_Oless(v20, v22, v21) | c_Orderings_Oord__class_Oless(v20, v22, v19)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & (v22 = v19 | ~ c_Orderings_Oord__class_Oless(v20, v21, v22) | c_Orderings_Oord__class_Oless(v20, v19, v22)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v22, v19) | c_Orderings_Oord__class_Oless(v20, v22, v21)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Fields_Olinordered__field(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v19, v22) | c_Orderings_Oord__class_Oless(v20, v21, v22)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Rings_Odivision__ring(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ (v22 = v21) | v21 = v19))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Rings_Oinverse__class_Oinverse(v20, v19) = v21) | ~ class_Rings_Odivision__ring__inverse__zero(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ (v22 = v21) | v21 = v19) & ( ~ (v22 = v19) | v21 = v19))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v20) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v20) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v19) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v19) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v19) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Groups_Oordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v22, v21) | c_Orderings_Oord__class_Oless(v20, v19, v22)) & ( ~ c_Orderings_Oord__class_Oless(v20, v19, v22) | c_Orderings_Oord__class_Oless(v20, v22, v21)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Groups_Oordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v22, v19) | c_Orderings_Oord__class_Oless(v20, v21, v22)) & ( ~ c_Orderings_Oord__class_Oless(v20, v21, v22) | c_Orderings_Oord__class_Oless(v20, v22, v19)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Groups_Oordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v22, v21) | c_Orderings_Oord__class_Oless__eq(v20, v19, v22)) & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v22) | c_Orderings_Oord__class_Oless__eq(v20, v22, v21)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Groups_Oordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v22, v19) | c_Orderings_Oord__class_Oless__eq(v20, v21, v22)) & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v21, v22) | c_Orderings_Oord__class_Oless__eq(v20, v22, v19)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Groups_Ogroup__add(v20) | ? [v22] : (c_Groups_Ominus__class_Ominus(v20, v22, v19) = v21 & c_Groups_Ozero__class_Ozero(v20) = v22)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Groups_Ogroup__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ (v22 = v21) | v21 = v19) & ( ~ (v22 = v19) | v21 = v19))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Rings_Ocomm__ring__1(v20) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (c_Groups_Ouminus__class_Ouminus(v20, v23) = v24 & c_Groups_Oone__class_Oone(v20) = v23 & c_Groups_Otimes__class_Otimes(v20) = v22 & hAPP(v25, v19) = v21 & hAPP(v22, v24) = v25)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Rings_Olinordered__idom(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v19, v22) | c_Orderings_Oord__class_Oless(v20, v19, v21)) & ( ~ c_Orderings_Oord__class_Oless(v20, v19, v21) | c_Orderings_Oord__class_Oless(v20, v19, v22)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Groups_Olinordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ (v22 = v19) | v21 = v19) & ( ~ (v21 = v19) | v22 = v19))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Groups_Olinordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v22, v19) | c_Orderings_Oord__class_Oless(v20, v21, v19)) & ( ~ c_Orderings_Oord__class_Oless(v20, v21, v19) | c_Orderings_Oord__class_Oless(v20, v22, v19)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Groups_Olinordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v22, v19) | c_Orderings_Oord__class_Oless__eq(v20, v21, v19)) & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v21, v19) | c_Orderings_Oord__class_Oless__eq(v20, v22, v19)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(v20, v19) = v21) | ~ class_Groups_Olinordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v22) | c_Orderings_Oord__class_Oless__eq(v20, v19, v21)) & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v21) | c_Orderings_Oord__class_Oless__eq(v20, v19, v22)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v21) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v19) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v21) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v20, v19) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v21) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v20, v21) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v21) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v20, v19) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Omonom(v20, v19, v0) = v21) | ~ class_Groups_Ozero(v20) | ? [v22] : ? [v23] : (c_Polynomial_OpCons(v20, v19, v23) = v21 & tc_Polynomial_Opoly(v20) = v22 & c_Groups_Ozero__class_Ozero(v22) = v23)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Odegree(v20, v19) = v21) | ~ class_Groups_Oab__group__add(v20) | ? [v22] : ? [v23] : (c_Groups_Ouminus__class_Ouminus(v22, v19) = v23 & c_Polynomial_Odegree(v20, v23) = v21 & tc_Polynomial_Opoly(v20) = v22)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ (c_Groups_Oplus__class_Oplus(v19, v20, v20) = v21) | ~ class_Rings_Olinordered__semidom(v19) | ? [v22] : (c_Groups_Ozero__class_Ozero(v19) = v22 & c_Orderings_Oord__class_Oless(v19, v22, v21))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (tc_fun(v19, v20) = v21) | ~ class_Groups_Ominus(v20) | class_Groups_Ominus(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (tc_fun(v19, v20) = v21) | ~ class_Groups_Ouminus(v20) | class_Groups_Ouminus(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (tc_fun(v19, v20) = v21) | ~ class_Lattices_Oboolean__algebra(v20) | class_Lattices_Oboolean__algebra(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (tc_fun(v19, v20) = v21) | ~ class_Orderings_Oord(v20) | class_Orderings_Oord(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (tc_fun(v19, v20) = v21) | ~ class_Orderings_Oorder(v20) | class_Orderings_Oorder(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (tc_fun(v19, v20) = v21) | ~ class_Orderings_Opreorder(v20) | class_Orderings_Opreorder(v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Polynomial_Opoly(v20, v19) = v21) | ~ class_Int_Oring__char__0(v20) | ~ class_Rings_Oidom(v20) | ? [v22] : ? [v23] : ? [v24] : (c_Polynomial_Opoly(v20, v23) = v24 & tc_Polynomial_Opoly(v20) = v22 & c_Groups_Ozero__class_Ozero(v22) = v23 & ( ~ (v24 = v21) | v23 = v19) & ( ~ (v23 = v19) | v24 = v21))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v19) = v21) | ~ class_Rings_Olinordered__idom(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v21, v22) | c_Orderings_Oord__class_Oless(v20, v19, v22)) & ( ~ c_Orderings_Oord__class_Oless(v20, v19, v22) | c_Orderings_Oord__class_Oless(v20, v21, v22)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v19) = v21) | ~ class_Rings_Ocomm__semiring__1(v20) | ? [v22] : ? [v23] : ? [v24] : ? [v25] : (c_Groups_Oone__class_Oone(v20) = v23 & c_Groups_Otimes__class_Otimes(v20) = v22 & c_Groups_Oplus__class_Oplus(v20, v23, v23) = v24 & hAPP(v25, v19) = v21 & hAPP(v22, v24) = v25)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v19) = v21) | ~ class_Groups_Olinordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ (v22 = v21) | v21 = v19) & ( ~ (v22 = v19) | v21 = v19))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v19) = v21) | ~ class_Groups_Olinordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v22, v21) | c_Orderings_Oord__class_Oless(v20, v22, v19)) & ( ~ c_Orderings_Oord__class_Oless(v20, v22, v19) | c_Orderings_Oord__class_Oless(v20, v22, v21)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v19) = v21) | ~ class_Groups_Olinordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless(v20, v21, v22) | c_Orderings_Oord__class_Oless(v20, v19, v22)) & ( ~ c_Orderings_Oord__class_Oless(v20, v19, v22) | c_Orderings_Oord__class_Oless(v20, v21, v22)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v19) = v21) | ~ class_Groups_Olinordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v22, v21) | c_Orderings_Oord__class_Oless__eq(v20, v22, v19)) & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v22, v19) | c_Orderings_Oord__class_Oless__eq(v20, v22, v21)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(v20, v19, v19) = v21) | ~ class_Groups_Olinordered__ab__group__add(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v20) = v22 & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v21, v22) | c_Orderings_Oord__class_Oless__eq(v20, v19, v22)) & ( ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v22) | c_Orderings_Oord__class_Oless__eq(v20, v21, v22)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v10, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v21, v9) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v9)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v21) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v10, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v9) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v21, v9)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v21) | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v21) | ? [v22] : ? [v23] : ? [v24] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v21) = v22 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v23 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v24 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v23, v24) = v22)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v10) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v10) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v21, v19) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v20) = v21) | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v10) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v21) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v10) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v19) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v10) = v21) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v19) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v21) = v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21) | ? [v22] : ? [v23] : (c_Nat_OSuc(v21) = v23 & c_Nat_OSuc(v20) = v22 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v19) = v23)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21) | ? [v22] : ? [v23] : (c_Nat_OSuc(v21) = v23 & c_Nat_OSuc(v19) = v22 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v22) = v23)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21) | ? [v22] : (c_Nat_OSuc(v21) = v22 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v21) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v21) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v21) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v21) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v21) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v21) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v20) = v21) | ? [v22] : (c_Nat_OSuc(v21) = v22 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v22))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (hAPP(v20, v19) = v21) | ~ (hAPP(v1, v19) = v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (hAPP(v20, v19) = v21) | ~ hBOOL(v21) | ? [v22] : ? [v23] : ? [v24] : ((c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v2) = v23 & hAPP(v20, v23) = v24 & hBOOL(v24) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v22, v19) & ! [v25] : ! [v26] : ( ~ (hAPP(v20, v25) = v26) | ~ hBOOL(v26) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v25, v22))) | (hAPP(v20, v0) = v22 & hBOOL(v22)))) & ! [v19] : ! [v20] : ! [v21] : ( ~ (hAPP(v20, v2) = v21) | ~ (hAPP(v1, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ (hAPP(v20, v0) = v21) | ~ (hAPP(v7, v19) = v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ class_Orderings_Olinorder(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ class_Orderings_Olinorder(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ class_Orderings_Olinorder(v21) | ~ c_Orderings_Oord__class_Oless(v21, v19, v20) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ class_Orderings_Oorder(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ class_Orderings_Oorder(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | c_Orderings_Oord__class_Oless__eq(v21, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ class_Orderings_Opreorder(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ class_Orderings_Opreorder(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ class_Orderings_Opreorder(v21) | ~ c_Orderings_Oord__class_Oless(v21, v20, v19) | c_Orderings_Oord__class_Oless__eq(v21, v20, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ class_Orderings_Opreorder(v21) | ~ c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | c_Orderings_Oord__class_Oless(v21, v20, v19) | c_Orderings_Oord__class_Oless__eq(v21, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v21) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v21) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v21) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v21) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v21) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v21)) & ! [v19] : ! [v20] : ! [v21] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v20)) & ! [v19] : ! [v20] : ! [v21] : ( ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v21, v19)) & ! [v19] : ! [v20] : ! [v21] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19)) & ? [v19] : ? [v20] : ? [v21] : ! [v22] : ! [v23] : ( ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Fields_Ofield(v22) | ? [v24] : (c_Groups_Ozero__class_Ozero(v23) = v24 & ( ~ (v24 = v20) | ~ (v21 = v19) | c_Polynomial_Opdivmod__rel(v22, v19, v20, v20, v19)) & ( ~ c_Polynomial_Opdivmod__rel(v22, v21, v24, v20, v19) | (v24 = v20 & v21 = v19)))) & ? [v19] : ? [v20] : ? [v21] : ! [v22] : ! [v23] : ( ~ (tc_Polynomial_Opoly(v22) = v23) | ~ class_Fields_Ofield(v22) | ? [v24] : (c_Groups_Ozero__class_Ozero(v23) = v24 & ( ~ (v24 = v19) | ~ (v20 = v19) | c_Polynomial_Opdivmod__rel(v22, v19, v21, v19, v19)) & ( ~ c_Polynomial_Opdivmod__rel(v22, v24, v21, v20, v19) | (v24 = v19 & v20 = v19)))) & ? [v19] : ? [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Oone__class_Oone(v21) = v22) | ~ class_Fields_Olinordered__field__inverse__zero(v21) | c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Groups_Otimes__class_Otimes(v21) = v24 & c_Groups_Ozero__class_Ozero(v21) = v23 & hAPP(v26, v20) = v27 & hAPP(v24, v25) = v26 & c_Orderings_Oord__class_Oless(v21, v25, v22) & c_Orderings_Oord__class_Oless(v21, v23, v25) & ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v19))) & ? [v19] : ? [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Otimes__class_Otimes(v21) = v22) | ~ class_Fields_Olinordered__field__inverse__zero(v21) | c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Groups_Oone__class_Oone(v21) = v24 & c_Groups_Ozero__class_Ozero(v21) = v23 & hAPP(v26, v20) = v27 & hAPP(v22, v25) = v26 & c_Orderings_Oord__class_Oless(v21, v25, v24) & c_Orderings_Oord__class_Oless(v21, v23, v25) & ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v19))) & ? [v19] : ? [v20] : ! [v21] : ! [v22] : ( ~ (c_Groups_Ozero__class_Ozero(v21) = v22) | ~ class_Fields_Olinordered__field__inverse__zero(v21) | c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : (c_Groups_Oone__class_Oone(v21) = v23 & c_Groups_Otimes__class_Otimes(v21) = v24 & hAPP(v26, v20) = v27 & hAPP(v24, v25) = v26 & c_Orderings_Oord__class_Oless(v21, v25, v23) & c_Orderings_Oord__class_Oless(v21, v22, v25) & ~ c_Orderings_Oord__class_Oless__eq(v21, v27, v19))) & ? [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v20) = v21) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v21)) & ? [v19] : ! [v20] : ! [v21] : ( ~ (c_Nat_OSuc(v20) = v21) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v21, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v20)) & ? [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Oone__class_Oone(v20) = v21) | ~ class_Rings_Ocomm__semiring__1(v20) | c_Rings_Odvd__class_Odvd(v20, v21, v19)) & ? [v19] : ! [v20] : ! [v21] : ( ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Fields_Ofield(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v21) = v22 & c_Polynomial_Opdivmod__rel(v20, v22, v19, v22, v22))) & ? [v19] : ! [v20] : ! [v21] : ( ~ (tc_Polynomial_Opoly(v20) = v21) | ~ class_Fields_Ofield(v20) | ? [v22] : (c_Groups_Ozero__class_Ozero(v21) = v22 & c_Polynomial_Opdivmod__rel(v20, v19, v22, v22, v19))) & ? [v19] : ! [v20] : ! [v21] : ( ~ (c_Groups_Ozero__class_Ozero(v20) = v21) | ~ class_Rings_Ocomm__semiring__1(v20) | c_Rings_Odvd__class_Odvd(v20, v19, v21)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v0) | ? [v21] : ( ~ (v21 = v0) & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v21)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v20) = v0) | ? [v21] : ( ~ (v21 = v0) & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v21)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v0) = v20)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v9) = v20)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v9, v19) = v20)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v0) = v20)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v19) = v20)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (hAPP(v11, v19) = v20)) & ! [v19] : ! [v20] : (v20 = v19 | ~ (hAPP(v4, v19) = v20)) & ! [v19] : ! [v20] : (v20 = v19 | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v20, v19) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v19)) & ! [v19] : ! [v20] : (v20 = v19 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v20)) & ! [v19] : ! [v20] : (v20 = v19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v20)) & ! [v19] : ! [v20] : (v20 = v19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v19) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v19)) & ! [v19] : ! [v20] : (v20 = v19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v20)) & ! [v19] : ! [v20] : (v20 = v19 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : (v20 = v9 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v19, v19) = v20)) & ! [v19] : ! [v20] : (v20 = v9 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v9, v19) = v20)) & ! [v19] : ! [v20] : (v20 = v2 | v20 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v2)) & ! [v19] : ! [v20] : (v20 = v2 | v19 = v2 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v2)) & ! [v19] : ! [v20] : (v20 = v2 | ~ (hAPP(v8, v19) = v20)) & ! [v19] : ! [v20] : (v20 = v0 | v19 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v2)) & ! [v19] : ! [v20] : (v20 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v19, v19) = v20)) & ! [v19] : ! [v20] : (v20 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v19) = v20)) & ! [v19] : ! [v20] : (v20 = v0 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v19, v2) = v20)) & ! [v19] : ! [v20] : (v20 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v0)) & ! [v19] : ! [v20] : (v20 = v0 | ~ (hAPP(v3, v19) = v20)) & ! [v19] : ! [v20] : (v19 = v2 | v19 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v2)) & ! [v19] : ! [v20] : (v19 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v20)) & ! [v19] : ! [v20] : (v19 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v19) = v0)) & ! [v19] : ! [v20] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v19) = v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v9) | ? [v21] : ? [v22] : (hAPP(v21, v22) = v20 & hAPP(v6, v19) = v21)) & ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v9) | ? [v21] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v21, v19) = v9 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v21)) & ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v19) = v9) | ? [v21] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v20, v21) = v9 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v21)) & ! [v19] : ! [v20] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v20, v19) = v0) | ? [v21] : ? [v22] : (hAPP(v21, v22) = v20 & hAPP(v1, v19) = v21)) & ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v20) = v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19)) & ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v19) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v19) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v20)) & ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v19) = v20) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v20, v2) = v19) & ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v19) = v20) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v2) = v20) & ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v19) = v20) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v19) = v20) & ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v19) = v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v19)) & ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v19) = v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v20)) & ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v19) = v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20)) & ! [v19] : ! [v20] : ( ~ (c_Nat_OSuc(v19) = v20) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v20)) & ! [v19] : ! [v20] : ( ~ (c_Power_Opower__class_Opower(v19) = v20) | ~ class_Power_Opower(v19) | ? [v21] : ? [v22] : (c_Power_Opower_Opower(v19, v21, v22) = v20 & c_Groups_Oone__class_Oone(v19) = v21 & c_Groups_Otimes__class_Otimes(v19) = v22)) & ! [v19] : ! [v20] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v19) = v20) | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v20) = v19) & ! [v19] : ! [v20] : ( ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ class_Rings_Odivision__ring(v19) | c_Rings_Oinverse__class_Oinverse(v19, v20) = v20) & ! [v19] : ! [v20] : ( ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ class_Rings_Ozero__neq__one(v19) | ? [v21] : ( ~ (v21 = v20) & c_Groups_Ozero__class_Ozero(v19) = v21)) & ! [v19] : ! [v20] : ( ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ class_Rings_Olinordered__semidom(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & c_Orderings_Oord__class_Oless(v19, v21, v20))) & ! [v19] : ! [v20] : ( ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ class_Rings_Olinordered__semidom(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & c_Orderings_Oord__class_Oless__eq(v19, v21, v20))) & ! [v19] : ! [v20] : ( ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ class_Rings_Olinordered__semidom(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ~ c_Orderings_Oord__class_Oless(v19, v20, v21))) & ! [v19] : ! [v20] : ( ~ (c_Groups_Oone__class_Oone(v19) = v20) | ~ class_Rings_Olinordered__semidom(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v19) = v21 & ~ c_Orderings_Oord__class_Oless__eq(v19, v20, v21))) & ! [v19] : ! [v20] : ( ~ (c_fequal(v19, v19) = v20) | hBOOL(v20)) & ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v20, v19) = v9) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v10, v19) = v20)) & ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v19, v10) = v20) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v20)) & ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v10, v19) = v20) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v9, v19) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v20)) & ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v19, v2) = v20) | c_Nat_OSuc(v19) = v20) & ! [v19] : ! [v20] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v19) = v20) | c_Nat_OSuc(v19) = v20) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Ocancel__comm__monoid__add(v19) | class_Groups_Ocancel__comm__monoid__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Ocancel__comm__monoid__add(v19) | class_Groups_Ocancel__ab__semigroup__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Ocancel__comm__monoid__add(v19) | class_Groups_Ocancel__semigroup__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__ring(v19) | class_Rings_Oring(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__ring(v19) | class_Rings_Ocomm__ring(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Oab__group__add(v19) | class_Groups_Ominus(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Oab__group__add(v19) | class_Groups_Ogroup__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Oab__group__add(v19) | class_Groups_Ouminus(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Oab__group__add(v19) | class_Groups_Oab__group__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Oab__group__add(v19) | ? [v21] : (c_Groups_Ouminus__class_Ouminus(v20, v21) = v21 & c_Groups_Ozero__class_Ozero(v20) = v21)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__ring__1(v19) | class_Rings_Oring__1(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__ring__1(v19) | class_Rings_Ocomm__ring__1(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Groups_Oordered__ab__group__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Olinordered__semiring__1(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Olinordered__semiring__1__strict(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Orderings_Olinorder(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Orderings_Oord(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Orderings_Oorder(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Orderings_Opreorder(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Oordered__comm__semiring(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Oordered__semiring(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Oordered__ring(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Oordered__cancel__semiring(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Olinordered__semidom(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Olinordered__comm__semiring__strict(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Groups_Oordered__ab__semigroup__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Groups_Oordered__ab__semigroup__add__imp__le(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Groups_Oordered__comm__monoid__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Olinordered__semiring(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Olinordered__semiring__strict(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Int_Oring__char__0(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Groups_Oordered__cancel__ab__semigroup__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Olinordered__idom(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Olinordered__ring(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Rings_Olinordered__ring__strict(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | class_Groups_Olinordered__ab__group__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Olinordered__idom(v19) | ? [v21] : (c_Groups_Ozero__class_Ozero(v20) = v21 & ~ c_Polynomial_Opos__poly(v19, v21))) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | class_Divides_Oring__div(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | class_Divides_Osemiring__div(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Fields_Ofield(v19) | ? [v21] : (c_Polynomial_Opoly__gcd(v19, v21, v21) = v21 & c_Groups_Ozero__class_Ozero(v20) = v21)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__1(v19) | class_Power_Opower(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__1(v19) | class_Groups_Ocomm__monoid__mult(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__1(v19) | class_Groups_Omonoid__mult(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__1(v19) | class_Rings_Ozero__neq__one(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__1(v19) | class_Groups_Oone(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__1(v19) | class_Rings_Odvd(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__1(v19) | class_Rings_Ocomm__semiring__1(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__1(v19) | ? [v21] : ? [v22] : ? [v23] : (c_Groups_Oone__class_Oone(v20) = v21 & c_Groups_Oone__class_Oone(v19) = v22 & c_Polynomial_OpCons(v19, v22, v23) = v21 & c_Groups_Ozero__class_Ozero(v20) = v23)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Ozero(v19) | class_Groups_Ozero(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Ozero(v19) | ? [v21] : ? [v22] : (c_Polynomial_OpCons(v19, v21, v22) = v22 & c_Groups_Ozero__class_Ozero(v20) = v22 & c_Groups_Ozero__class_Ozero(v19) = v21)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Oidom(v19) | class_Rings_Oring__1__no__zero__divisors(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Oidom(v19) | class_Rings_Oring__no__zero__divisors(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Oidom(v19) | class_Rings_Ono__zero__divisors(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Oidom(v19) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Oidom(v19) | class_Rings_Oidom(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Ocomm__monoid__add(v19) | class_Groups_Oplus(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Ocomm__monoid__add(v19) | class_Groups_Oab__semigroup__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Ocomm__monoid__add(v19) | class_Groups_Omonoid__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Groups_Ocomm__monoid__add(v19) | class_Groups_Ocomm__monoid__add(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__0(v19) | class_Rings_Osemiring__0(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__0(v19) | class_Rings_Omult__zero(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__0(v19) | class_Rings_Osemiring(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__0(v19) | class_Rings_Ocomm__semiring(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__0(v19) | class_Groups_Oab__semigroup__mult(v20)) & ! [v19] : ! [v20] : ( ~ (tc_Polynomial_Opoly(v19) = v20) | ~ class_Rings_Ocomm__semiring__0(v19) | class_Rings_Ocomm__semiring__0(v20)) & ! [v19] : ! [v20] : ( ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Fields_Ofield__inverse__zero(v19) | c_Rings_Oinverse__class_Oinverse(v19, v20) = v20) & ! [v19] : ! [v20] : ( ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Rings_Odivision__ring__inverse__zero(v19) | c_Rings_Oinverse__class_Oinverse(v19, v20) = v20) & ! [v19] : ! [v20] : ( ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Groups_Ogroup__add(v19) | c_Groups_Ouminus__class_Ouminus(v19, v20) = v20) & ! [v19] : ! [v20] : ( ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Rings_Ozero__neq__one(v19) | ? [v21] : ( ~ (v21 = v20) & c_Groups_Oone__class_Oone(v19) = v21)) & ! [v19] : ! [v20] : ( ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Rings_Olinordered__semidom(v19) | ? [v21] : ? [v22] : (c_Groups_Oone__class_Oone(v19) = v21 & c_Groups_Oplus__class_Oplus(v19, v21, v21) = v22 & c_Orderings_Oord__class_Oless(v19, v20, v22))) & ! [v19] : ! [v20] : ( ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Rings_Olinordered__semidom(v19) | ? [v21] : (c_Groups_Oone__class_Oone(v19) = v21 & c_Orderings_Oord__class_Oless(v19, v20, v21))) & ! [v19] : ! [v20] : ( ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Rings_Olinordered__semidom(v19) | ? [v21] : (c_Groups_Oone__class_Oone(v19) = v21 & c_Orderings_Oord__class_Oless__eq(v19, v20, v21))) & ! [v19] : ! [v20] : ( ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Rings_Olinordered__semidom(v19) | ? [v21] : (c_Groups_Oone__class_Oone(v19) = v21 & ~ c_Orderings_Oord__class_Oless(v19, v21, v20))) & ! [v19] : ! [v20] : ( ~ (c_Groups_Ozero__class_Ozero(v19) = v20) | ~ class_Rings_Olinordered__semidom(v19) | ? [v21] : (c_Groups_Oone__class_Oone(v19) = v21 & ~ c_Orderings_Oord__class_Oless__eq(v19, v21, v20))) & ! [v19] : ! [v20] : ( ~ (hAPP(v6, v19) = v20) | hAPP(v20, v10) = v19) & ! [v19] : ! [v20] : ( ~ (hAPP(v4, v19) = v20) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ( ~ (hAPP(v1, v19) = v20) | hAPP(v20, v2) = v19) & ! [v19] : ! [v20] : ( ~ (hAPP(v1, v19) = v20) | hAPP(v20, v0) = v0) & ! [v19] : ! [v20] : ( ~ class_Orderings_Olinorder(v20) | ~ c_Orderings_Oord__class_Oless(v20, v19, v19) | ~ c_Orderings_Oord__class_Oless__eq(v20, v19, v19)) & ! [v19] : ! [v20] : ( ~ class_Orderings_Olinorder(v20) | ~ c_Orderings_Oord__class_Oless(v20, v19, v19)) & ! [v19] : ! [v20] : ( ~ class_Orderings_Oorder(v20) | ~ c_Orderings_Oord__class_Oless(v20, v19, v19)) & ! [v19] : ! [v20] : ( ~ class_Orderings_Opreorder(v20) | ~ c_Orderings_Oord__class_Oless(v20, v19, v19)) & ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v19) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v19, v20)) & ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v19)) & ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v19) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v19)) & ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v20)) & ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | ? [v21] : ? [v22] : (c_Nat_OSuc(v22) = v19 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v21) = v22)) & ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v20) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v20) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19)) & ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19)) & ! [v19] : ! [v20] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | ? [v21] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v20, v21) = v19) & ? [v19] : ? [v20] : ! [v21] : (v20 = v19 | ~ class_Orderings_Olinorder(v21) | c_Orderings_Oord__class_Oless(v21, v20, v19) | c_Orderings_Oord__class_Oless(v21, v19, v20)) & ? [v19] : ? [v20] : ! [v21] : (v20 = v19 | ~ class_Rings_Olinordered__idom(v21) | c_Orderings_Oord__class_Oless(v21, v20, v19) | c_Orderings_Oord__class_Oless(v21, v19, v20)) & ? [v19] : ? [v20] : ! [v21] : ( ~ class_Orderings_Olinorder(v21) | c_Orderings_Oord__class_Oless(v21, v20, v19) | c_Orderings_Oord__class_Oless__eq(v21, v19, v20)) & ? [v19] : ? [v20] : ! [v21] : ( ~ class_Orderings_Olinorder(v21) | c_Orderings_Oord__class_Oless(v21, v19, v20) | c_Orderings_Oord__class_Oless__eq(v21, v20, v19)) & ? [v19] : ? [v20] : ! [v21] : ( ~ class_Orderings_Olinorder(v21) | c_Orderings_Oord__class_Oless__eq(v21, v20, v19) | c_Orderings_Oord__class_Oless__eq(v21, v19, v20)) & ? [v19] : ! [v20] : ( ~ class_Orderings_Olinorder(v20) | c_Orderings_Oord__class_Oless(v20, v19, v19) | c_Orderings_Oord__class_Oless__eq(v20, v19, v19)) & ? [v19] : ! [v20] : ( ~ class_Orderings_Oorder(v20) | c_Orderings_Oord__class_Oless__eq(v20, v19, v19)) & ? [v19] : ! [v20] : ( ~ class_Orderings_Opreorder(v20) | c_Orderings_Oord__class_Oless__eq(v20, v19, v19)) & ? [v19] : ! [v20] : ( ~ class_Rings_Ocomm__semiring__1(v20) | c_Rings_Odvd__class_Odvd(v20, v19, v19)) & ! [v19] : (v19 = v10 | ~ (hAPP(v11, v10) = v19)) & ! [v19] : (v19 = v2 | v19 = v0 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v12)) & ! [v19] : (v19 = v2 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v19)) & ! [v19] : (v19 = v2 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v19)) & ! [v19] : (v19 = v2 | ~ (hAPP(v4, v2) = v19)) & ! [v19] : (v19 = v2 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v2)) & ! [v19] : (v19 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v19)) & ! [v19] : (v19 = v0 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v2)) & ! [v19] : (v19 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v0)) & ! [v19] : ~ (c_Nat_OSuc(v19) = v19) & ! [v19] : ~ (c_Nat_OSuc(v19) = v0) & ! [v19] : ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v19) & ! [v19] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v19)) & ! [v19] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v19) & ! [v19] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v0) & ! [v19] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19) | ? [v20] : c_Nat_OSuc(v20) = v19) & ! [v19] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v10, v19) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v9, v19)) & ! [v19] : ( ~ class_Rings_Ocomm__semiring__0(v19) | class_Groups_Oplus(v19)) & ! [v19] : ( ~ class_Rings_Ocomm__semiring__0(v19) | class_Rings_Osemiring__0(v19)) & ! [v19] : ( ~ class_Rings_Ocomm__semiring__0(v19) | class_Rings_Omult__zero(v19)) & ! [v19] : ( ~ class_Rings_Ocomm__semiring__0(v19) | class_Rings_Osemiring(v19)) & ! [v19] : ( ~ class_Rings_Ocomm__semiring__0(v19) | class_Rings_Ocomm__semiring(v19)) & ! [v19] : ( ~ class_Rings_Ocomm__semiring__0(v19) | class_Groups_Oab__semigroup__mult(v19)) & ! [v19] : ( ~ class_Rings_Ocomm__semiring__0(v19) | class_Groups_Oab__semigroup__add(v19)) & ! [v19] : ( ~ class_Rings_Ocomm__semiring__0(v19) | class_Groups_Omonoid__add(v19)) & ! [v19] : ( ~ class_Rings_Ocomm__semiring__0(v19) | class_Groups_Ozero(v19)) & ! [v19] : ( ~ class_Rings_Ocomm__semiring__0(v19) | class_Groups_Ocomm__monoid__add(v19)) & ? [v19] : ? [v20] : (v20 = v19 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v20, v19) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v19, v20)) & ? [v19] : ? [v20] : (v20 = v19 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v19, v20)) & ? [v19] : ? [v20] : (v20 = v19 | ? [v21] : ? [v22] : ? [v23] : ( ~ (v23 = v22) & hAPP(v20, v21) = v22 & hAPP(v19, v21) = v23)) & ? [v19] : ? [v20] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v20)) & ? [v19] : ? [v20] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v20, v19) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v20)) & ? [v19] : (v19 = v0 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v19)) & ? [v19] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v19) & ? [v19] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v19, v0) & ? [v19] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v19) & ? [v19] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v19, v19) & ? [v19] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v19, v19) & ? [v19] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v19) & ( ~ (v18 = v_a) | ~ (v15 = v_p)) & ( ~ (v15 = v13) | v13 = v_p))
% 66.92/19.62 | 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, all_0_17_17, all_0_18_18 yields:
% 66.92/19.62 | (1) ~ (all_0_8_8 = all_0_9_9) & c_Nat_OSuc(all_0_16_16) = all_0_6_6 & c_Nat_OSuc(all_0_18_18) = all_0_16_16 & c_Power_Opower__class_Opower(tc_Int_Oint) = all_0_13_13 & c_Power_Opower__class_Opower(tc_Nat_Onat) = all_0_11_11 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_0_9_9) = all_0_9_9 & c_Groups_Oone__class_Oone(tc_Int_Oint) = all_0_8_8 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_0_16_16 & c_Groups_Otimes__class_Otimes(tc_Int_Oint) = all_0_12_12 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_0_17_17 & c_Polynomial_Osmult(t_a, v_h, all_0_5_5) = all_0_2_2 & c_Groups_Oplus__class_Oplus(all_0_4_4, all_0_2_2, all_0_1_1) = all_0_3_3 & c_Polynomial_OpCons(t_a, v_a, all_0_5_5) = all_0_1_1 & tc_Polynomial_Opoly(t_a) = all_0_4_4 & c_Groups_Ozero__class_Ozero(all_0_4_4) = all_0_3_3 & c_Groups_Ozero__class_Ozero(t_a) = all_0_0_0 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_0_9_9 & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_0_18_18 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, v_p, v_h) = all_0_5_5 & hAPP(all_0_11_11, all_0_16_16) = all_0_10_10 & hAPP(all_0_12_12, all_0_8_8) = all_0_7_7 & hAPP(all_0_17_17, all_0_16_16) = all_0_14_14 & hAPP(all_0_17_17, all_0_18_18) = all_0_15_15 & class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint) & class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat) & class_Groups_Oplus(tc_Int_Oint) & class_Groups_Oplus(tc_Nat_Onat) & class_Groups_Ominus(tc_HOL_Obool) & class_Groups_Ominus(tc_Int_Oint) & class_Groups_Ominus(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_Oring__1__no__zero__divisors(tc_Int_Oint) & class_Rings_Oring(tc_Int_Oint) & class_Groups_Oordered__ab__group__add(tc_Int_Oint) & class_Groups_Ogroup__add(tc_Int_Oint) & class_Rings_Ocomm__ring(tc_Int_Oint) & class_Groups_Ouminus(tc_HOL_Obool) & class_Groups_Ouminus(tc_Int_Oint) & class_Lattices_Oboolean__algebra(tc_HOL_Obool) & class_Groups_Oab__group__add(tc_Int_Oint) & class_Rings_Ocomm__ring__1(tc_Int_Oint) & 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_Groups_Oone(tc_Int_Oint) & class_Groups_Oone(tc_Nat_Onat) & class_Rings_Olinordered__semiring__1(tc_Int_Oint) & class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) & 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_Orderings_Oorder(tc_HOL_Obool) & class_Orderings_Oorder(tc_Int_Oint) & class_Orderings_Oorder(tc_Nat_Onat) & class_Orderings_Opreorder(tc_HOL_Obool) & class_Orderings_Opreorder(tc_Int_Oint) & class_Orderings_Opreorder(tc_Nat_Onat) & class_Rings_Osemiring__0(tc_Int_Oint) & class_Rings_Osemiring__0(tc_Nat_Onat) & 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__semidom(tc_Int_Oint) & class_Rings_Olinordered__semidom(tc_Nat_Onat) & class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) & class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) & 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_Rings_Odvd(tc_Int_Oint) & class_Rings_Odvd(tc_Nat_Onat) & class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) & class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) & 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_Int_Oring__char__0(tc_Int_Oint) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) & class_Rings_Olinordered__idom(tc_Int_Oint) & c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, all_0_8_8) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, all_0_16_16) & c_Rings_Odvd__class_Odvd(tc_Nat_Onat, all_0_16_16, all_0_16_16) & class_Rings_Olinordered__ring(tc_Int_Oint) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, all_0_8_8) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, all_0_9_9) & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_18_18, all_0_18_18) & 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_Osemiring(tc_Int_Oint) & class_Rings_Osemiring(tc_Nat_Onat) & class_Rings_Ocomm__semiring(tc_Int_Oint) & class_Rings_Ocomm__semiring(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_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_Groups_Omonoid__add(tc_Int_Oint) & class_Groups_Omonoid__add(tc_Nat_Onat) & class_Groups_Ozero(tc_Int_Oint) & class_Groups_Ozero(tc_Nat_Onat) & class_Rings_Oidom(tc_Int_Oint) & class_Groups_Ocomm__monoid__add(tc_Int_Oint) & class_Groups_Ocomm__monoid__add(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_18_18, all_0_18_18) & ! [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_Polynomial_Osynthetic__div(v2, v0, v1) = v11) | ~ (c_Polynomial_Opoly(v2, v0) = v13) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v12, v15) = v16) | ~ (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] : (v4 = v1 | ~ (c_Nat_OSuc(v11) = v12) | ~ (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, 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_Nat_OSuc(v11) = v12) | ~ (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, 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_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, 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, 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_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_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] : ! [v13] : ( ~ (c_fequal(v0, v9) = v10) | ~ (c_If(v4, v10, v3, v11) = v12) | ~ (c_Polynomial_Opoly__rec(v4, v5, v3, v2, v0) = v11) | ~ (tc_Polynomial_Opoly(v5) = v8) | ~ (c_Groups_Ozero__class_Ozero(v8) = v9) | ~ (hAPP(v7, v12) = v13) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v2, v1) = v6) | ~ class_Groups_Ozero(v5) | ? [v14] : (c_Polynomial_Opoly__rec(v4, v5, v3, v2, v14) = v13 & c_Polynomial_OpCons(v5, v1, v0) = v14)) & ! [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_Polynomial_Ocoeff(v2, v10) = v11) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v5) | ~ (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_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] : ! [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] : (v11 = v0 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Polynomial_Odegree(v2, v10) = v11) | ~ (c_Groups_Oone__class_Oone(v2) = v5) | ~ (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_Polynomial_Ocoeff(v2, v6) = v7) | ~ (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) | ~ (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_Polynomial_Ocoeff(v2, v1) = v13 & c_Polynomial_Ocoeff(v2, v0) = v16 & c_Groups_Otimes__class_Otimes(v2) = v12 & 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_Ocoeff(v2, v1) = v6) | ~ (c_Polynomial_Ocoeff(v2, v0) = v9) | ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (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_Polynomial_Ocoeff(v2, v15) = v16 & c_Groups_Otimes__class_Otimes(v12) = v13 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v4) = v17 & 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_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_Opcompose(v3, v1, v0) = v9) | ~ (c_Groups_Otimes__class_Otimes(v4) = v7) | ~ (c_Groups_Oplus__class_Oplus(v4, v6, v10) = v11) | ~ (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(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(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(v4) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v6, v10) = v11) | ~ (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) | ~ (c_Polynomial_Osmult(v3, v1, v2) = v7) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v10) = v11) | ~ (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, 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) | ~ (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] : ( ~ (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_Ocomm__ring(v3) | ~ class_Rings_Odvd(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v10) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ? [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_Ocomm__ring(v3) | ~ class_Rings_Odvd(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | 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_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_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_Polynomial_Omonom(v4, v3, v2) = v7) | ~ (c_Polynomial_Omonom(v4, v1, v0) = v9) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v6, v7) = v8) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Polynomial_Omonom(v4, v13, v14) = v10 & c_Groups_Otimes__class_Otimes(v4) = v11 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v14 & hAPP(v12, v1) = v13 & hAPP(v11, v3) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Polynomial_Opoly(v3, v2) = v5) | ~ (c_Polynomial_Opoly(v3, v1) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (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_Polynomial_Opoly(v3, v14) = v15 & c_Groups_Otimes__class_Otimes(v11) = v12 & 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_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_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_12_12, v5) = v6) | ~ (hAPP(all_0_12_12, v2) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, all_0_9_9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, 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_12_12, v5) = v6) | ~ (hAPP(all_0_12_12, v2) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v8) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v1)) & ! [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(v3, v6, v8) = v9) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (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_Ominus__class_Ominus(v3, v2, v1) = v10 & hAPP(v11, v0) = v9 & hAPP(v4, v10) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_16_16) = 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) | ~ class_Groups_Omonoid__mult(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | 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_Nat_OSuc(v1) = v6) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (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_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_Omonom(v3, v2, v1) = v10 & c_Polynomial_Opoly(v3, v10) = v11 & 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_Polynomial_Omonom(v4, v7, v8) = v9) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Polynomial_Omonom(v4, v3, v2) = v12 & c_Polynomial_Omonom(v4, v1, v0) = v14 & c_Groups_Otimes__class_Otimes(v10) = v11 & tc_Polynomial_Opoly(v4) = v10 & hAPP(v13, v14) = v9 & hAPP(v11, v12) = v13)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Polynomial_Opoly(v3, v7) = v8) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (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_Polynomial_Opoly(v3, v2) = v11 & c_Polynomial_Opoly(v3, v1) = v14 & c_Groups_Otimes__class_Otimes(v3) = v10 & 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_Polynomial_Opoly(v3, v1) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v8) = v9) | ~ (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_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) | ~ (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(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(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_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_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_12_12, 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_9_9) | 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_12_12, 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_9_9, 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_17_17, v3) = v4) | ~ (hAPP(all_0_17_17, 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_17_17, v10) = v11)) & ? [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_Nat_OSuc(v1) = v6) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (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_Groups_Ominus__class_Ominus(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_Oab__group__add(v4) | ? [v9] : ? [v10] : (c_Groups_Ominus__class_Ominus(v5, v2, v0) = v10 & c_Groups_Ominus__class_Ominus(v4, v3, v1) = v9 & c_Polynomial_OpCons(v4, v9, v10) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v2, v0) = v7) | ~ (c_Groups_Ominus__class_Ominus(v4, v3, v1) = v6) | ~ (c_Polynomial_OpCons(v4, v6, v7) = v8) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ class_Groups_Oab__group__add(v4) | ? [v9] : ? [v10] : (c_Groups_Ominus__class_Ominus(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_Ominus__class_Ominus(v3, v6, v7) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v9] : (c_Groups_Ominus__class_Ominus(v3, v1, v0) = v9 & hAPP(v5, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Ominus__class_Ominus(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_Oab__group__add(v3) | ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ominus__class_Ominus(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_Ominus__class_Ominus(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__ring(v3) | ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ominus__class_Ominus(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_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_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_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_Polynomial_Ocoeff(v3, v2) = v4) | ~ (c_Polynomial_Ocoeff(v3, v1) = v6) | ~ (c_Groups_Oplus__class_Oplus(v3, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_Ocoeff(v3, v10) = v11 & c_Groups_Oplus__class_Oplus(v9, v2, v1) = v10 & tc_Polynomial_Opoly(v3) = v9 & hAPP(v11, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Polynomial_Ocoeff(v3, v1) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (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_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) | ~ class_Rings_Olinordered__semidom(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, 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_17_17, 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_17_17, 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) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | 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) | ~ 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(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(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(all_0_17_17, 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_17_17, 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_Polynomial_Opoly(v3, v2) = v4) | ~ (c_Polynomial_Opoly(v3, v1) = v6) | ~ (c_Groups_Oplus__class_Oplus(v3, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_Opoly(v3, v10) = v11 & c_Groups_Oplus__class_Oplus(v9, v2, v1) = v10 & tc_Polynomial_Opoly(v3) = v9 & hAPP(v11, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Polynomial_Opoly(v3, v1) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : (c_Polynomial_Opoly(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(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_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_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_Polynomial_Osmult(v3, v2, v0) = v9 & c_Groups_Oplus__class_Oplus(v4, v9, v13) = v8 & 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_Polynomial_Osmult(v3, v1, v2) = v9 & c_Groups_Oplus__class_Oplus(v4, v9, v12) = v8 & 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_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_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) | ~ (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) | ~ 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) = 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) = 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(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(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_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_Polynomial_Osmult(v3, v0, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v6, v7) = v8) | ~ (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(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(tc_Int_Oint, v7, v1) = v8) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v6) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(all_0_12_12, 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] : (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_Ocoeff(v3, v2) = v4) | ~ (c_Polynomial_Odegree(v3, v2) = v5) | ~ (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) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ? [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_Ocoeff(v2, v1) = v3) | ~ (c_Polynomial_Ocoeff(v2, v0) = v6) | ~ (c_Polynomial_Odegree(v2, v1) = v4) | ~ (c_Polynomial_Odegree(v2, v0) = v7) | ~ (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] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v2, v1) = v6) | ~ (tc_fun(v3, v4) = v5) | ~ (hAPP(v6, v0) = v7) | ~ class_Groups_Ominus(v4) | ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(v4, v8, v9) = v7 & hAPP(v2, v0) = v8 & hAPP(v1, v0) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(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_Oab__group__add(v3) | ? [v8] : (c_Groups_Ominus__class_Ominus(v3, v2, v0) = v8 & c_Polynomial_Omonom(v3, v8, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(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__ring(v3) | ? [v8] : (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v8 & c_Polynomial_Osmult(v3, v8, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v2, v1) = v5) | ~ (c_Polynomial_Ocoeff(v3, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ class_Groups_Oab__group__add(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ominus__class_Ominus(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_Ominus__class_Ominus(v4, v2, v1) = v5) | ~ (c_Polynomial_Opoly(v3, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ class_Rings_Ocomm__ring(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ominus__class_Ominus(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_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(v3, v2, v1) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ominus__class_Ominus(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_Ominus__class_Ominus(v3, v1, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(v3, v8, v9) = v7 & hAPP(v5, v1) = v8 & hAPP(v5, v0) = v9)) & ! [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_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_17_17, v8) = 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_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_Nat_Onat, v6, v1) = v7) | ~ (c_Nat_OSuc(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, 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_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v5) | ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_17_17, v8) = v9)) & ! [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] : ( ~ (c_Nat_OSuc(v0) = v6) | ~ (c_Polynomial_Ocoeff(v3, v4) = v5) | ~ (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_Ocoeff(v3, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_Ocoeff(v3, v2) = v8 & c_Polynomial_Ocoeff(v3, v1) = v10 & c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9)) & ! [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_17_17, 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) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | 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) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | 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) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | 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) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | 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_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_Polynomial_Omonom(v3, v6, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Polynomial_Omonom(v3, v1, v0) = v8 & c_Polynomial_Osmult(v3, v2, v8) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Omonom(v3, v2, v1) = v5) | ~ (c_Polynomial_Omonom(v3, v0, v1) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v8] : (c_Polynomial_Omonom(v3, v8, v1) = v7 & c_Groups_Oplus__class_Oplus(v3, v2, 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_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] : ( ~ (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_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_Polynomial_Osynthetic__div(v4, v3, v2) = v11 & c_Polynomial_Osmult(v4, v2, v1) = v9 & c_Groups_Oplus__class_Oplus(v8, v3, v9) = v10 & tc_Polynomial_Opoly(v4) = v8 & ( ~ (v10 = v5) | (v11 = v1 & v7 = v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Opoly(v3, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_Opoly(v3, v2) = v8 & c_Polynomial_Opoly(v3, v1) = v10 & c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9)) & ! [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_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_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) | ~ (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) = 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) = 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, 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_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, 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_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] : (c_fequal(v0, v11) = v12 & c_If(v4, v12, v3, v13) = v14 & c_Polynomial_Opoly__rec(v4, v5, v3, v2, v0) = v13 & tc_Polynomial_Opoly(v5) = v10 & c_Groups_Ozero__class_Ozero(v10) = v11 & hAPP(v9, v14) = v7 & hAPP(v8, v0) = v9 & hAPP(v2, v1) = v8)) & ! [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] : ( ~ (c_Polynomial_Osmult(v4, v2, v1) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v3, v6) = v7) | ~ (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_Polynomial_Osmult(v3, v2, v1) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Polynomial_Osmult(v3, v2, v8) = v7 & c_Groups_Oplus__class_Oplus(v4, v1, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (c_Polynomial_OpCons(v3, v0, v1) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Groups_Ozero__class_Ozero(v4) = v8 & ( ~ (v8 = v7) | v7 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Osmult(v3, v2, v0) = v5) | ~ (c_Polynomial_Osmult(v3, v1, v0) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Polynomial_Osmult(v3, v8, v0) = v7 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v8)) & ! [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(tc_Int_Oint, v5, v4) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v1, v6) = v7) | ~ (hAPP(all_0_12_12, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, 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_12_12, v2) = v3) | ~ (hAPP(all_0_12_12, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_12_12, 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_17_17, 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_17_17, v3) = v8 & hAPP(all_0_17_17, 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_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_17_17, v8) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_0_17_17, v3) = v4) | ~ (hAPP(all_0_17_17, 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_12_12, v4) = v5) | ~ (hAPP(all_0_13_13, 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 = v5 | ~ (c_Polynomial_OpCons(v2, v1, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v2, v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(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_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (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 | ~ (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_18_18 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_11_11, v1) = v3) | ~ (hAPP(all_0_11_11, 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_18_18 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_11_11, v1) = v3) | ~ (hAPP(all_0_11_11, 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] : (v2 = all_0_18_18 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_13_13, v1) = v3) | ~ (hAPP(all_0_13_13, 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_18_18 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_13_13, v1) = v3) | ~ (hAPP(all_0_13_13, 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] : (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_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_18_18 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_11_11, v2) = v3) | ~ (hAPP(all_0_11_11, 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] : (v1 = all_0_18_18 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_13_13, v2) = v3) | ~ (hAPP(all_0_13_13, 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] : ( ~ (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_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v5) = v6) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~ (c_Nat_OSuc(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ? [v7] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v7, v0) = v6 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ? [v7] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v7 & hAPP(v3, v7) = v6)) & ! [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_13_13, v3) = v4) | ? [v7] : ? [v8] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v8, v1) = v6 & hAPP(v7, v0) = v8 & hAPP(all_0_13_13, 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_12_12, 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_17_17, 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_17_17, 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_Rings_Oinverse__class_Oinverse(v2, v5) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Rings_Oinverse__class_Oinverse(v2, v5) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_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(v2, v1) = v4) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Rings_Oinverse__class_Oinverse(v1, v4) = v5) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (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] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v2, v3) = v4) | ~ (c_Polynomial_Odegree(v2, v3) = v5) | ~ (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_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_17_17, 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_17_17, 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_17_17, 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_17_17, 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] : ( ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_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_Polynomial_Ocoeff(v3, v1) = v9 & c_Groups_Otimes__class_Otimes(v3) = v7 & hAPP(v9, v0) = v10 & hAPP(v8, v10) = v6 & hAPP(v7, v2) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Ocoeff(v2, v4) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v1) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ class_Groups_Oab__group__add(v2) | ? [v7] : ? [v8] : (c_Polynomial_Ocoeff(v2, v1) = v7 & c_Groups_Ouminus__class_Ouminus(v2, v8) = v6 & hAPP(v7, v0) = v8)) & ! [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_Groups_Ouminus__class_Ouminus(v4, v1) = v5) | ~ (tc_fun(v2, v3) = v4) | ~ (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] : ( ~ (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_Polynomial_Omonom(v3, v2, v1) = v4) | ~ (c_Polynomial_Opoly(v3, v4) = v5) | ~ (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_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_17_17, 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_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] : ( ~ (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_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_Polynomial_Opoly(v4, v3) = v10 & c_Polynomial_Osmult(v4, v2, v1) = v8 & c_Groups_Oplus__class_Oplus(v7, v3, v8) = v9 & 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) = v4) | ~ (c_Polynomial_Osmult(v2, v0, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v5) = v6) | ~ (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_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_Polynomial_Osmult(v2, v0, v3) = v8 & c_Groups_Oplus__class_Oplus(v7, v1, v8) = v6 & 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_Osmult(v3, v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Polynomial_Opoly(v3, v1) = v9 & c_Groups_Otimes__class_Otimes(v3) = v7 & hAPP(v9, v0) = v10 & hAPP(v8, v10) = 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_Polynomial_Opoly(v3, v1) = v9 & c_Groups_Otimes__class_Otimes(v3) = v7 & c_Groups_Oplus__class_Oplus(v3, v2, v11) = v6 & hAPP(v9, v0) = v10 & hAPP(v8, v10) = v11 & hAPP(v7, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly(v3, v4) = v5) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : (c_Polynomial_Opoly(v3, v2) = v7 & c_Groups_Oplus__class_Oplus(v3, v1, v0) = v8 & hAPP(v7, v8) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly(v3, v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : (c_Polynomial_Opoly(v3, v7) = v8 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v2, v1) = v7 & hAPP(v8, v0) = 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_Polynomial_Osmult(v3, v2, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v1, v0) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : (c_Polynomial_Osmult(v3, v2, v1) = v7 & c_Polynomial_Osmult(v3, v2, v0) = v8 & c_Groups_Oplus__class_Oplus(v4, v7, v8) = 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, 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(tc_Int_Oint, v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_12_12, 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_17_17, 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] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, 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_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, 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_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v0) = v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_12_12, v4) = v5) | ~ (hAPP(all_0_12_12, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_12_12, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_13_13, v4) = v5) | ~ (hAPP(all_0_13_13, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_17_17, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v4) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_17_17, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, 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_12_12, v2) = v3) | ~ (hAPP(all_0_12_12, v1) = v4) | ? [v7] : ? [v8] : (hAPP(v8, v0) = v6 & hAPP(v3, v1) = v7 & hAPP(all_0_12_12, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(all_0_13_13, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v4) | ? [v7] : ? [v8] : (hAPP(v8, v0) = v6 & hAPP(v3, v1) = v7 & hAPP(all_0_13_13, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v4) | ? [v7] : ? [v8] : (hAPP(v8, v0) = v6 & hAPP(v3, v1) = v7 & hAPP(all_0_17_17, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v1, v5) = v6) | ~ (hAPP(all_0_12_12, v0) = v3) | ~ hBOOL(v6) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | ? [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_Nat_OSuc(v1) = v2) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_17_17, v2) = v3)) & ! [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 = v3 | v0 = all_0_18_18 | ~ (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_17_17, v0) = v4) | ~ (hAPP(all_0_17_17, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (hAPP(v4, all_0_18_18) = v5) | ~ (hAPP(v2, all_0_18_18) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ (hAPP(all_0_17_17, v0) = v4)) & ! [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 = 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 = all_0_18_18 | ~ (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_18_18 | ~ (hAPP(v5, v1) = v4) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, 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_9_9 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_12_12, 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_9_9 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_12_12, 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_18_18 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, 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_17_17, v3) = v4)) & ! [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) | ~ class_Groups_Oordered__ab__group__add(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | 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) | ~ class_Groups_Oordered__ab__group__add(v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | 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(v3, v2, v1) = v4) | ~ (c_Polynomial_Osmult(v3, v4, v0) = v5) | ~ class_Rings_Ocomm__ring(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ominus__class_Ominus(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_Ominus__class_Ominus(v3, v2, v0) = v4) | ~ (c_Polynomial_Omonom(v3, v4, v1) = v5) | ~ class_Groups_Oab__group__add(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ominus__class_Ominus(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_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_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_17_17, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v7, v9) = v5 & hAPP(v8, v0) = v9 & hAPP(v6, v0) = v7 & hAPP(all_0_17_17, v2) = v6 & hAPP(all_0_17_17, v1) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ? [v6] : ? [v7] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v6, v7) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v7)) & ! [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_Ocoeff(v2, v0) = v8 & c_Polynomial_Odegree(v2, v0) = v9 & 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_13_13, 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_13_13, 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_12_12, 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_17_17, 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_17_17, v2) = v6 & hAPP(all_0_17_17, 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_17_17, 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_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_Power_Opower_Opower(v3, v2, v1) = v4) | ~ (hAPP(v4, v0) = v5) | hAPP(v5, all_0_18_18) = v2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v4) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Groups_Oab__group__add(v2) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Ocoeff(v2, v7) = v8 & c_Groups_Ouminus__class_Ouminus(v6, v1) = v7 & tc_Polynomial_Opoly(v2) = v6 & hAPP(v8, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Ocoeff(v1, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ (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_18_18) | v6 = v5) & (v7 = v5 | v0 = all_0_18_18))) & ! [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_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_6_6) = v8 & hAPP(v4, all_0_6_6) = 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) | ~ class_Groups_Omonoid__mult(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_16_16) = 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_18_18, 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_18_18))) & ( ~ (v6 = v1) | v5 = v1 | v0 = all_0_18_18))) & ! [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(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | ? [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(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_6_6) = v7 & hAPP(v4, all_0_6_6) = v6 & ( ~ (v7 = v6) | v8 = v1 | v1 = v0) & (v7 = v6 | ( ~ (v8 = v1) & ~ (v1 = v0))))) & ! [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_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_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_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_Polynomial_Omonom(v3, v4, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Omonom(v3, v2, v1) = v7 & c_Polynomial_Omonom(v3, v0, v1) = v8 & c_Groups_Oplus__class_Oplus(v6, v7, v8) = v5 & tc_Polynomial_Opoly(v3) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Omonom(v3, v1, v0) = v4) | ~ (c_Polynomial_Osmult(v3, v2, v4) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Omonom(v3, v8, v0) = v5 & c_Groups_Otimes__class_Otimes(v3) = v6 & hAPP(v7, v1) = v8 & hAPP(v6, v2) = v7)) & ! [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_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_17_17, 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_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_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_Polynomial_Opcompose(v3, v1, v0) = v11 & c_Groups_Otimes__class_Otimes(v6) = v9 & c_Groups_Oplus__class_Oplus(v6, v8, v12) = v5 & 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_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_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__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_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_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_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_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_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_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_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_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_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_Osmult(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Osmult(v3, v2, v0) = v7 & c_Polynomial_Osmult(v3, v1, v0) = v8 & c_Groups_Oplus__class_Oplus(v6, v7, v8) = v5 & tc_Polynomial_Opoly(v3) = v6)) & ! [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_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_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) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | 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) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | 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) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | 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) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v0) | 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, 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__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_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, 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(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(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_12_12, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, all_0_9_9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_0_9_9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_12_12, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v5) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, 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_12_12, 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_12_12, v2) = v6 & hAPP(all_0_12_12, 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_12_12, 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_12_12, 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_12_12, 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_17_17, 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_17_17, v2) = v6 & hAPP(all_0_17_17, 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_13_13, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : (hAPP(v7, v8) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v8 & hAPP(all_0_12_12, 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_17_17, 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_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_Polynomial_Osmult(v3, v0, v7) = v8 & c_Groups_Oplus__class_Oplus(v6, v8, v9) = v5 & 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_12_12, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, 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_17_17, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_17_17, 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_11_11, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_11_11, 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_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_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_17_17, 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_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_17_17, 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_17_17, 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_17_17, v2) = v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_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_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_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_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_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_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, 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_Omonom(v2, v1, v0) = v3) | ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ 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 | ~ (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v4) | ~ (c_Groups_Ominus__class_Ominus(v3, v0, v0) = v4) | ~ class_Groups_Oab__group__add(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v1) = v3) | hBOOL(v4) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2)) & ! [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 = 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 = all_0_18_18 | v1 = v0 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_17_17, 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_Groups_Ominus__class_Ominus(v3, v2, v2) = v4) | ~ (c_Groups_Ominus__class_Ominus(v3, v1, v0) = v4) | ~ class_Groups_Oab__group__add(v3)) & ! [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_Polynomial_Opoly__gcd(v4, v3, v2) = v1) | ~ (c_Polynomial_Opoly__gcd(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_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_Omonom(v4, v3, v2) = v1) | ~ (c_Polynomial_Omonom(v4, v3, v2) = v0)) & ! [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_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_Osmult(v4, v3, v2) = v1) | ~ (c_Polynomial_Osmult(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_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_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v1, v0) = v4) | ~ class_Rings_Ocomm__ring__1(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_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, v2) = v4) | ~ (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, v0, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, 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, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v5 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v5) = 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] : ? [v6] : ? [v7] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v6, v7) = v4 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v1) = v6 & c_Nat_OSuc(v2) = v5 & c_Nat_OSuc(v0) = v7)) & ! [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, v5, v1) = v4 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v5)) & ! [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_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v3) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v4) & ! [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, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, 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(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, v3) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v1) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v5)) & ! [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, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v2) = 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, v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v3) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v2) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(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, v0, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v1)) & ! [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_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_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] : ( ~ (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_Ocoeff(v1, v0) = v5 & c_Polynomial_Odegree(v1, v0) = v6 & c_Polynomial_Osmult(v1, v8, v0) = v4 & hAPP(v5, v6) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ? [v5] : ? [v6] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_17_17, 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_17_17, v1) = v2) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v5) = v4 & hAPP(v2, v0) = v5)) & ! [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_18_18) = v1) & ! [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_Ocoeff(v1, v0) = v2) | ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (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_Ocoeff(v1, v0) = v2) | ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (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_Ocoeff(v1, v0) = v2) | ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (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_Power_Opower__class_Opower(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v0) = v2) | ~ (hAPP(v3, all_0_18_18) = 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_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) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v3) | 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) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | 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_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) = 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) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | 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) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | 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) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless(v2, v3, v0) | 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) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | 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_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_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_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, 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, 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_12_12, v2) = v3) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_12_12, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Omonom(v2, v1, v0) = v3) | ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ 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_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_17_17, 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_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_18_18) & (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_OpCons(v2, v1, v0) = v3) | ~ class_Groups_Ozero(v2) | ? [v5] : ? [v6] : (c_Nat_OSuc(v5) = v6 & c_Polynomial_Odegree(v2, v0) = v5 & 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_Nat_OSuc(v7) = v8 & c_Polynomial_Odegree(v2, v1) = v7 & tc_Polynomial_Opoly(v2) = v5 & c_Groups_Ozero__class_Ozero(v5) = v6 & ( ~ (v6 = v1) | v4 = all_0_18_18) & (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_Nat_OSuc(v7) = v8 & c_Polynomial_Odegree(v2, v1) = v7 & 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_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] : ( ~ (tc_fun(v2, v3) = v4) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v4, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | 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(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_18_18) | ~ (v5 = v4) | v7 = v1) & (v5 = v4 | (v8 = all_0_18_18 & ~ (v7 = v1))))) & ! [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_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_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_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless(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(v3, v1, v0) | 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) | ~ 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_12_12, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_8_8, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_12_12, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_8_8)) & ! [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_17_17, 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_17_17, v1) = v2) | ? [v5] : ? [v6] : (c_Nat_OSuc(v1) = v5 & hAPP(v6, v0) = v4 & hAPP(all_0_17_17, v5) = v6)) & ! [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_18_18) = 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, 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 & hBOOL(v11) & c_Rings_Odvd__class_Odvd(v2, v1, v10))) & ((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_Polynomial_Ocoeff(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ class_Groups_Ozero(v1)) & ! [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_Groups_Ogroup__add(v1)) & ! [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_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 | ~ (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 | ~ (hAPP(all_0_15_15, v1) = v2) | ~ (hAPP(all_0_15_15, 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, v2) = v0) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & ! [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_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [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_Groups_Ogroup__add(v1)) & ! [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_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_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_9_9 | ~ (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_9_9) & c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_9_9 | ~ (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_9_9) & c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_18_18 | ~ (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_18_18 | ~ (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_18_18 | ~ (c_Polynomial_Odegree(v0, v2) = v3) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_18_18 | ~ (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_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 | ~ (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_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_Groups_Ogroup__add(v2)) & ! [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_Polynomial_Odegree(v3, v2) = v1) | ~ (c_Polynomial_Odegree(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tc_fun(v3, v2) = v1) | ~ (tc_fun(v3, v2) = v0)) & ! [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 | ~ (c_fequal(v3, v2) = v1) | ~ (c_fequal(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 | ~ (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_16_16 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_17_17, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_18_18 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_11_11, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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, v2, v0) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_16_16) = v2) | ? [v4] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v4) = v3 & c_Nat_OSuc(v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Nat_OSuc(v0) = v2) | ? [v4] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v0) = v3 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_16_16) = v4)) & ! [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) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v3)) & ! [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_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_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_Ocoeff(v2, v0) = v6 & c_Polynomial_Odegree(v2, v0) = v7 & 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_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_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_Nat_OSuc(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ? [v4] : (c_Nat_OSuc(v4) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ? [v4] : (c_Nat_OSuc(v0) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3) | ? [v4] : (c_Nat_OSuc(v4) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3) | ? [v4] : (c_Nat_OSuc(v1) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, 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_18_18) = 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_16_16) = 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_16_16) = 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_18_18) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ class_Rings_Ocomm__ring__1(v2) | ~ c_Rings_Odvd__class_Odvd(v2, v3, v0) | c_Rings_Odvd__class_Odvd(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ class_Rings_Ocomm__ring__1(v2) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v0) | 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) | ~ class_Rings_Ocomm__ring__1(v2) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v3) | c_Rings_Odvd__class_Odvd(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Rings_Ocomm__ring__1(v2) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v0) | 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_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_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_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_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_18_18) | v8 = v1) & (v6 = v5 | (v3 = all_0_18_18 & ~ (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_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_18_18) | v5 = v3) & ( ~ (v5 = v3) | v6 = all_0_18_18))) & ! [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_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_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_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, 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_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] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_12_12, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_12_12, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_17_17, 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, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_17_17, 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, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_17_17, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_17_17, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_11_11, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_11_11, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_12_12, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_12_12, 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_12_12, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_12_12, v1) = v2) | ? [v4] : (hAPP(v4, v1) = v3 & hAPP(all_0_12_12, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_13_13, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, 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, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ? [v4] : (hAPP(v4, v1) = v3 & hAPP(all_0_17_17, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v1, v2) = v3) | ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_17_17, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(all_0_15_15, v1) = v2) | ~ (hAPP(all_0_15_15, v0) = v3) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | c_Orderings_Oord__class_Oless(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v2) | c_Orderings_Oord__class_Oless(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v0, v1)) & ! [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(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | c_Orderings_Oord__class_Oless(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v2, v0)) & ! [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] : ( ~ 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] : ! [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_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] : ! [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] : (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_9_9)) & ! [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_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 = 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 = 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_9_9 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ? [v3] : (hAPP(all_0_12_12, v0) = v3 & ! [v4] : ~ (hAPP(v3, v4) = v1))) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_9_9 | ~ (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_16_16 | ~ (hAPP(v1, all_0_18_18) = v2) | ~ (hAPP(all_0_11_11, v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_18_18 | ~ (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_18_18 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : (hAPP(all_0_17_17, v0) = v3 & ! [v4] : ~ (hAPP(v3, v4) = v1))) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_18_18 | ~ (hAPP(v1, all_0_18_18) = v2) | ~ (hAPP(all_0_17_17, v0) = v1)) & ! [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_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_Groups_Otimes__class_Otimes(v2) = v1) | ~ (c_Groups_Otimes__class_Otimes(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_fequal(v1, v0) = v2) | ~ hBOOL(v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_8_8) = 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 | ~ (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_Olinorder(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, 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 = all_0_8_8 | ~ (hAPP(v2, v0) = all_0_8_8) | ~ (hAPP(all_0_12_12, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_16_16 | v0 = all_0_18_18 | ~ (hAPP(v2, v0) = all_0_16_16) | ~ (hAPP(all_0_11_11, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_16_16 | ~ (hAPP(v2, v0) = all_0_16_16) | ~ (hAPP(all_0_17_17, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_18_18 | v0 = all_0_16_16 | ~ (hAPP(v2, v0) = v1) | ~ (hAPP(all_0_17_17, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_18_18 | v0 = all_0_18_18 | ~ (hAPP(v2, v0) = all_0_18_18) | ~ (hAPP(all_0_17_17, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_18_18 | ~ (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_8_8 | ~ (hAPP(v2, v0) = all_0_8_8) | ~ (hAPP(all_0_12_12, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v1)) & ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_16_16 | ~ (hAPP(v2, v0) = all_0_16_16) | ~ (hAPP(all_0_17_17, 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_18_18, 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_18_18, 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] : ? [v4] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v4) = v2 & c_Nat_OSuc(v1) = v3 & c_Nat_OSuc(v0) = v4)) & ! [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_18_18, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_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__eq(tc_Int_Oint, all_0_9_9, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, 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_9_9, 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_9_9) | 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_9_9) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, all_0_9_9)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1)) & ! [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_18_18))) & ! [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_18_18, 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_18_18, 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__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_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_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] : ( ~ (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_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_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_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_Polynomial_Omonom(v1, v0, all_0_18_18) = 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] : ( ~ (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_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] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Groups_Ominus(v1) | class_Groups_Ominus(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_Lattices_Oboolean__algebra(v1) | class_Lattices_Oboolean__algebra(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_Orderings_Oorder(v1) | class_Orderings_Oorder(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Opreorder(v1) | class_Orderings_Opreorder(v2)) & ! [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_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_8_8, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_0_9_9) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_9_9)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_8_8, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_9_9) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_0_9_9)) & ! [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_9_9, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, 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_8_8) = 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_8_8) = 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_8_8) = 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_8_8) = 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_8_8) = 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_18_18, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_18_18, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_18_18, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_Nat_OSuc(v2) = v4 & c_Nat_OSuc(v1) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : ? [v4] : (c_Nat_OSuc(v2) = v4 & c_Nat_OSuc(v0) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v3) = v4)) & ! [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] : ( ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_17_17, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ hBOOL(v2) | ? [v3] : ? [v4] : ? [v5] : ((c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_0_16_16) = v4 & hAPP(v1, v4) = v5 & hBOOL(v5) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0) & ! [v6] : ! [v7] : ( ~ (hAPP(v1, v6) = v7) | ~ hBOOL(v7) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v6, v3))) | (hAPP(v1, all_0_18_18) = v3 & hBOOL(v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, all_0_16_16) = v2) | ~ (hAPP(all_0_17_17, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, all_0_18_18) = v2) | ~ (hAPP(all_0_11_11, v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(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_Oorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Oorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v1, 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_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] : ( ~ 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_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] : ( ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Rings_Odvd__class_Odvd(v1, v2, v0)) & ? [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_18_18) | ? [v2] : ( ~ (v2 = all_0_18_18) & 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_18_18) | ? [v2] : ( ~ (v2 = all_0_18_18) & 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_18_18) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_9_9) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_9_9, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_18_18) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_18_18, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_7_7, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_14_14, 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_9_9, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, 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_9_9 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_9_9 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, all_0_9_9, v0) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_16_16 | v1 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_16_16)) & ! [v0] : ! [v1] : (v1 = all_0_16_16 | v0 = 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_10_10, v0) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_18_18 | v0 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_16_16)) & ! [v0] : ! [v1] : (v1 = all_0_18_18 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v0) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_18_18 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, all_0_18_18, v0) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_18_18 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, all_0_16_16) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_18_18)) & ! [v0] : ! [v1] : (v1 = all_0_18_18 | ~ (hAPP(all_0_15_15, v0) = v1)) & ! [v0] : ! [v1] : (v0 = all_0_16_16 | v0 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_16_16)) & ! [v0] : ! [v1] : (v0 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v1)) & ! [v0] : ! [v1] : (v0 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_18_18)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = all_0_18_18) | 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_9_9) | ? [v2] : ? [v3] : (hAPP(v2, v3) = v1 & hAPP(all_0_12_12, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = all_0_9_9) | ? [v2] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v0) = all_0_9_9 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = all_0_9_9) | ? [v2] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v2) = all_0_9_9 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = all_0_18_18) | ? [v2] : ? [v3] : (hAPP(v2, v3) = v1 & hAPP(all_0_17_17, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v1) = v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_16_16) = v0) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_16_16) = v1) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_16_16, 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_18_18, v1)) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v1)) & ! [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_fequal(v0, v0) = v1) | hBOOL(v1)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = all_0_9_9) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_8_8, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_8_8) = v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_8_8, v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v1)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_16_16) = v1) | c_Nat_OSuc(v0) = v1) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_16_16, v0) = v1) | c_Nat_OSuc(v0) = v1) & ! [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_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_Ominus(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_Ouminus(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_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__semiring__1(v1)) & ! [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_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_Oorder(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_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__semidom(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__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_Groups_Oordered__comm__monoid__add(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_Int_Oring__char__0(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_Rings_Olinordered__idom(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_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) | ? [v2] : (c_Groups_Ozero__class_Ozero(v1) = v2 & ~ c_Polynomial_Opos__poly(v0, v2))) & ! [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_Ocomm__semiring__1(v0) | class_Power_Opower(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_Odvd(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_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_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_Groups_Ocomm__monoid__add(v0) | class_Groups_Oplus(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_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_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_Osemiring(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_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_Groups_Ogroup__add(v0) | c_Groups_Ouminus__class_Ouminus(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_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_12_12, v0) = v1) | hAPP(v1, all_0_8_8) = v0) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_14_14, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_17_17, v0) = v1) | hAPP(v1, all_0_16_16) = v0) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_17_17, v0) = v1) | hAPP(v1, all_0_18_18) = all_0_18_18) & ! [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_Olinorder(v1) | ~ c_Orderings_Oord__class_Oless(v1, v0, v0)) & ! [v0] : ! [v1] : ( ~ class_Orderings_Oorder(v1) | ~ c_Orderings_Oord__class_Oless(v1, v0, v0)) & ! [v0] : ! [v1] : ( ~ class_Orderings_Opreorder(v1) | ~ c_Orderings_Oord__class_Oless(v1, v0, v0)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, 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_9_9, 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_18_18, 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_Nat_OSuc(v3) = v0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, 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_Olinorder(v1) | c_Orderings_Oord__class_Oless(v1, v0, v0) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0)) & ? [v0] : ! [v1] : ( ~ class_Orderings_Oorder(v1) | 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_8_8 | ~ (hAPP(all_0_7_7, all_0_8_8) = v0)) & ! [v0] : (v0 = all_0_16_16 | v0 = all_0_18_18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_6_6)) & ! [v0] : (v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_16_16, all_0_18_18) = v0)) & ! [v0] : (v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_18_18, all_0_16_16) = v0)) & ! [v0] : (v0 = all_0_16_16 | ~ (hAPP(all_0_14_14, all_0_16_16) = v0)) & ! [v0] : (v0 = all_0_16_16 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, all_0_16_16)) & ! [v0] : (v0 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_18_18, all_0_18_18) = v0)) & ! [v0] : (v0 = all_0_18_18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_16_16)) & ! [v0] : (v0 = all_0_18_18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, all_0_18_18)) & ! [v0] : ~ (c_Nat_OSuc(v0) = v0) & ! [v0] : ~ (c_Nat_OSuc(v0) = all_0_18_18) & ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v0) & ! [v0] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_8_8, v0)) & ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0) & ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_18_18) & ! [v0] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | ? [v1] : c_Nat_OSuc(v1) = v0) & ! [v0] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_8_8, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oplus(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_Osemiring(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Ocomm__semiring(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oab__semigroup__mult(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oab__semigroup__add(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Omonoid__add(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Ozero(v0)) & ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Ocomm__monoid__add(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_18_18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0)) & ? [v0] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v0) & ? [v0] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, all_0_18_18) & ? [v0] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, all_0_16_16, 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_18_18, v0) & ( ~ (all_0_0_0 = v_a) | ~ (all_0_3_3 = v_p)) & ( ~ (all_0_3_3 = all_0_5_5) | all_0_5_5 = v_p)
% 67.74/19.86 |
% 67.74/19.86 | Applying alpha-rule on (1) yields:
% 67.74/19.86 | (2) ! [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))
% 67.74/19.86 | (3) class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint)
% 67.74/19.86 | (4) ! [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))
% 67.74/19.86 | (5) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v0))
% 67.74/19.87 | (6) ! [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))
% 67.74/19.87 | (7) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2))
% 67.74/19.87 | (8) ! [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))
% 67.74/19.87 | (9) ! [v0] : ! [v1] : (v1 = all_0_9_9 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v0) = v1))
% 67.74/19.87 | (10) ! [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))
% 67.74/19.87 | (11) ! [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))
% 67.74/19.87 | (12) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Osemiring__0(v0))
% 67.74/19.87 | (13) ! [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))
% 67.74/19.87 | (14) ! [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))
% 67.74/19.87 | (15) ! [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))
% 67.74/19.87 | (16) ? [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))))))
% 67.74/19.87 | (17) ! [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))))
% 67.74/19.87 | (18) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 67.74/19.87 | (19) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5))
% 67.74/19.87 | (20) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0))
% 67.74/19.87 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v4) | ~ (c_Groups_Ominus__class_Ominus(v3, v0, v0) = v4) | ~ class_Groups_Oab__group__add(v3))
% 67.74/19.87 | (22) ! [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))
% 67.74/19.87 | (23) ? [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 & hBOOL(v11) & c_Rings_Odvd__class_Odvd(v2, v1, v10))) & ((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)))))))
% 67.74/19.87 | (24) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_17_17, 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)))
% 67.74/19.87 | (25) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v6, v7) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v9] : (c_Groups_Ominus__class_Ominus(v3, v1, v0) = v9 & hAPP(v5, v9) = v8))
% 67.74/19.87 | (26) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (tc_Polynomial_Opoly(v2) = v1) | ~ (tc_Polynomial_Opoly(v2) = v0))
% 67.74/19.87 | (27) ! [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(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 67.74/19.87 | (28) ! [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(v3, v6, v7) | 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)))
% 67.74/19.87 | (29) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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))
% 67.96/19.87 | (30) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_18_18 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2))
% 67.96/19.87 | (31) ! [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))))
% 67.96/19.87 | (32) ! [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))
% 67.96/19.87 | (33) ! [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))
% 67.96/19.87 | (34) ! [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))
% 67.96/19.87 | (35) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Ominus__class_Ominus(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_Oab__group__add(v4) | ? [v9] : ? [v10] : (c_Groups_Ominus__class_Ominus(v5, v2, v0) = v10 & c_Groups_Ominus__class_Ominus(v4, v3, v1) = v9 & c_Polynomial_OpCons(v4, v9, v10) = v8))
% 67.96/19.87 | (36) ! [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))
% 67.96/19.87 | (37) ! [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)))
% 67.96/19.87 | (38) ! [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))
% 67.96/19.87 | (39) c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, all_0_8_8)
% 67.96/19.87 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_12_12, v2) = v3) | ? [v6] : ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v6, v7) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v7))
% 67.96/19.87 | (41) c_Power_Opower__class_Opower(tc_Nat_Onat) = all_0_11_11
% 67.96/19.87 | (42) ! [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)
% 67.96/19.88 | (43) ! [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))
% 67.96/19.88 | (44) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Omonom(v3, v2, v1) = v5) | ~ (c_Polynomial_Omonom(v3, v0, v1) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v8] : (c_Polynomial_Omonom(v3, v8, v1) = v7 & c_Groups_Oplus__class_Oplus(v3, v2, v0) = v8))
% 67.96/19.88 | (45) ! [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))
% 67.96/19.88 | (46) ! [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))
% 67.96/19.88 | (47) ! [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))
% 67.96/19.88 | (48) ! [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))))
% 67.96/19.88 | (49) c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, all_0_16_16)
% 67.96/19.88 | (50) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semidom(v1))
% 67.96/19.88 | (51) ? [v0] : ! [v1] : ( ~ class_Orderings_Olinorder(v1) | c_Orderings_Oord__class_Oless(v1, v0, v0) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 67.96/19.88 | (52) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_9_9 | ~ (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_9_9) & c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v4))
% 67.96/19.88 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v0 | v1 = all_0_18_18 | ~ (hAPP(v5, v1) = v4) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v0) = v5))
% 67.96/19.88 | (54) ! [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_Ocomm__ring(v3) | ~ class_Rings_Odvd(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v10) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v5, v0) = v11 & c_Rings_Odvd__class_Odvd(v3, v2, v11)))
% 67.96/19.88 | (55) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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))))
% 67.96/19.88 | (56) ! [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))
% 67.96/19.88 | (57) class_Groups_Oab__semigroup__add(tc_Nat_Onat)
% 67.96/19.88 | (58) ! [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)))
% 67.96/19.88 | (59) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_8_8) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))
% 67.96/19.88 | (60) ! [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))
% 67.96/19.88 | (61) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Ocomm__monoid__add(v0))
% 67.96/19.88 | (62) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower_Opower(v3, v2, v1) = v4) | ~ (hAPP(v4, v0) = v5) | hAPP(v5, all_0_18_18) = v2)
% 67.96/19.88 | (63) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__ring(v0) | class_Rings_Ocomm__ring(v1))
% 67.96/19.88 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_12_12, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_8_8, v0))
% 67.96/19.88 | (65) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v3))
% 67.96/19.88 | (66) class_Divides_Osemiring__div(tc_Int_Oint)
% 67.96/19.88 | (67) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Polynomial_Osmult(v3, v0, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v6, v7) = v8) | ~ (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))
% 67.96/19.88 | (68) ! [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))
% 67.96/19.88 | (69) ! [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))
% 67.96/19.88 | (70) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless(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)))
% 67.96/19.88 | (71) ! [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] : (c_fequal(v0, v11) = v12 & c_If(v4, v12, v3, v13) = v14 & c_Polynomial_Opoly__rec(v4, v5, v3, v2, v0) = v13 & tc_Polynomial_Opoly(v5) = v10 & c_Groups_Ozero__class_Ozero(v10) = v11 & hAPP(v9, v14) = v7 & hAPP(v8, v0) = v9 & hAPP(v2, v1) = v8))
% 67.96/19.88 | (72) ! [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))))
% 67.96/19.88 | (73) ! [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))))
% 67.96/19.88 | (74) class_Groups_Ominus(tc_Int_Oint)
% 67.96/19.88 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v5) = v6) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~ (c_Nat_OSuc(v2) = v3) | ~ (c_Nat_OSuc(v0) = v5) | ? [v7] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v7, v0) = v6 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v7))
% 67.96/19.88 | (76) ! [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))))
% 67.96/19.89 | (77) ! [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)))
% 67.96/19.89 | (78) ! [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))))
% 67.96/19.89 | (79) class_Groups_Oordered__ab__group__add(tc_Int_Oint)
% 67.96/19.89 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v3) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v2) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v5))
% 67.96/19.89 | (81) ! [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))
% 67.96/19.89 | (82) ! [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))
% 67.96/19.89 | (83) ! [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))))
% 67.96/19.89 | (84) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))
% 67.96/19.89 | (85) ! [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_18_18, v2))
% 67.96/19.89 | (86) ! [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_9_9, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v2))
% 67.96/19.89 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v5) = v6) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ominus__class_Ominus(v3, v9, v11) = v7 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9 & hAPP(v4, v2) = v8 & hAPP(v4, v1) = v10))
% 67.96/19.89 | (88) ! [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))
% 67.96/19.89 | (89) ! [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))
% 67.96/19.89 | (90) ! [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)
% 67.96/19.89 | (91) ! [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))
% 67.96/19.89 | (92) ! [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))
% 67.96/19.89 | (93) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v2) = v1) | ~ (c_Power_Opower__class_Opower(v2) = v0))
% 67.96/19.89 | (94) class_Rings_Olinordered__semiring(tc_Int_Oint)
% 67.96/19.89 | (95) ! [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))))
% 67.96/19.89 | (96) ! [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_Polynomial_Opoly(v3, v1) = v9 & c_Groups_Otimes__class_Otimes(v3) = v7 & c_Groups_Oplus__class_Oplus(v3, v2, v11) = v6 & hAPP(v9, v0) = v10 & hAPP(v8, v10) = v11 & hAPP(v7, v0) = v8))
% 67.96/19.89 | (97) ! [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)))
% 67.96/19.89 | (98) c_Groups_Oplus__class_Oplus(all_0_4_4, all_0_2_2, all_0_1_1) = all_0_3_3
% 67.96/19.89 | (99) ! [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)))
% 67.96/19.89 | (100) class_Groups_Oone(tc_Nat_Onat)
% 67.96/19.89 | (101) ! [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)))))
% 67.96/19.89 | (102) ! [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))
% 67.96/19.89 | (103) class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint)
% 67.96/19.89 | (104) ! [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_12_12, v2) = v3) | ? [v7] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v7, v0) = v6 & hAPP(v3, v1) = v7))
% 67.96/19.89 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ? [v5] : ? [v6] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_17_17, v1) = v5))
% 67.96/19.89 | (106) ! [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))
% 67.96/19.89 | (107) class_Rings_Osemiring(tc_Int_Oint)
% 67.96/19.89 | (108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2))
% 67.96/19.89 | (109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0))
% 67.96/19.90 | (110) ! [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))))
% 67.96/19.90 | (111) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 67.96/19.90 | (112) ! [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))
% 67.96/19.90 | (113) class_Groups_Oab__semigroup__mult(tc_Nat_Onat)
% 67.96/19.90 | (114) ! [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)))))
% 67.96/19.90 | (115) ! [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))
% 67.96/19.90 | (116) ! [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))
% 67.96/19.90 | (117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Osmult(v4, v3, v2) = v1) | ~ (c_Polynomial_Osmult(v4, v3, v2) = v0))
% 67.96/19.90 | (118) ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = all_0_9_9) | ? [v2] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v2) = all_0_9_9 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2))
% 67.96/19.90 | (119) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Osemiring(v0))
% 67.96/19.90 | (120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Oinverse(v1, v4) = v5) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (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))
% 67.96/19.90 | (121) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_fequal(v1, v0) = v2) | ~ hBOOL(v2))
% 67.96/19.90 | (122) ! [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)
% 67.96/19.90 | (123) ! [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))
% 67.96/19.90 | (124) ~ (all_0_0_0 = v_a) | ~ (all_0_3_3 = v_p)
% 67.96/19.90 | (125) ! [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))
% 67.96/19.90 | (126) ! [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))
% 67.96/19.90 | (127) ! [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_9_9, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1))
% 67.96/19.90 | (128) ! [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))
% 67.96/19.90 | (129) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Osemiring(v1))
% 67.96/19.90 | (130) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat)
% 67.96/19.90 | (131) ! [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))
% 67.96/19.90 | (132) ! [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))))
% 67.96/19.90 | (133) ! [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)))
% 67.96/19.90 | (134) ! [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))
% 67.96/19.90 | (135) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Polynomial_Opcompose(v3, v1, v0) = v9) | ~ (c_Groups_Otimes__class_Otimes(v4) = v7) | ~ (c_Groups_Oplus__class_Oplus(v4, v6, v10) = v11) | ~ (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))
% 67.96/19.90 | (136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1))
% 67.96/19.90 | (137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_17_17, v8) = v9))
% 67.96/19.90 | (138) c_Groups_Otimes__class_Otimes(tc_Int_Oint) = all_0_12_12
% 67.96/19.90 | (139) ! [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))
% 67.96/19.90 | (140) ! [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))))
% 67.96/19.90 | (141) ! [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))
% 67.96/19.90 | (142) ! [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))
% 67.96/19.90 | (143) ! [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))
% 67.96/19.90 | (144) class_Groups_Ominus(tc_HOL_Obool)
% 67.96/19.90 | (145) ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 67.96/19.90 | (146) ! [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)))
% 67.96/19.90 | (147) ! [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))
% 67.96/19.91 | (148) ! [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))))
% 67.96/19.91 | (149) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_18_18 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_11_11, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1))
% 67.96/19.91 | (150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3) | ? [v4] : (c_Nat_OSuc(v1) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v0) = v3))
% 67.96/19.91 | (151) ! [v0] : (v0 = all_0_18_18 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, all_0_18_18))
% 67.96/19.91 | (152) ! [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) | ~ class_Rings_Olinordered__semidom(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, v0)))
% 67.96/19.91 | (153) ! [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)))
% 67.96/19.91 | (154) ! [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)))
% 67.96/19.91 | (155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tc_fun(v3, v2) = v1) | ~ (tc_fun(v3, v2) = v0))
% 67.96/19.91 | (156) ! [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))
% 67.96/19.91 | (157) ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_8_8 | ~ (hAPP(v2, v0) = all_0_8_8) | ~ (hAPP(all_0_12_12, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v1))
% 67.96/19.91 | (158) ! [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)
% 67.96/19.91 | (159) ! [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))
% 67.96/19.91 | (160) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1))
% 67.96/19.91 | (161) ! [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))
% 67.96/19.91 | (162) class_Groups_Oplus(tc_Int_Oint)
% 67.96/19.91 | (163) ! [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))
% 67.96/19.91 | (164) ! [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))
% 67.96/19.91 | (165) class_Rings_Ozero__neq__one(tc_Int_Oint)
% 67.96/19.91 | (166) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_18_18 | v0 = all_0_16_16 | ~ (hAPP(v2, v0) = v1) | ~ (hAPP(all_0_17_17, v1) = v2))
% 67.96/19.91 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0))
% 67.96/19.91 | (168) ! [v0] : ! [v1] : (v0 = all_0_16_16 | v0 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_16_16))
% 67.96/19.91 | (169) ! [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))
% 67.96/19.91 | (170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Nat_OSuc(v1) = v6) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (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)))
% 67.96/19.91 | (171) ! [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))
% 67.96/19.91 | (172) ! [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))
% 67.96/19.91 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (hAPP(all_0_15_15, v1) = v2) | ~ (hAPP(all_0_15_15, v0) = v3))
% 67.96/19.91 | (174) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0))
% 67.96/19.91 | (175) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_12_12, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5))
% 67.96/19.91 | (176) ! [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))
% 67.96/19.91 | (177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_12_12, 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_12_12, v4) = v5))
% 67.96/19.91 | (178) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_16_16 | v0 = all_0_18_18 | ~ (hAPP(v2, v0) = all_0_16_16) | ~ (hAPP(all_0_11_11, v1) = v2))
% 67.96/19.91 | (179) ! [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))
% 67.96/19.91 | (180) ! [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)))
% 67.96/19.91 | (181) ! [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))))
% 67.96/19.91 | (182) ! [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))
% 67.96/19.91 | (183) ! [v0] : (v0 = all_0_16_16 | ~ (hAPP(all_0_14_14, all_0_16_16) = v0))
% 67.96/19.92 | (184) ! [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))
% 67.96/19.92 | (185) ! [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))
% 67.96/19.92 | (186) class_Rings_Oordered__comm__semiring(tc_Nat_Onat)
% 67.96/19.92 | (187) ! [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))
% 67.96/19.92 | (188) ! [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))
% 67.96/19.92 | (189) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocancel__comm__monoid__add(v0) | class_Groups_Ocancel__semigroup__add(v1))
% 67.96/19.92 | (190) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Olinordered__ab__group__add(v1))
% 67.96/19.92 | (191) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Polynomial_Ocoeff(v3, v1) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (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))
% 67.96/19.92 | (192) class_Power_Opower(tc_Int_Oint)
% 67.96/19.92 | (193) ! [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))))))
% 67.96/19.92 | (194) ! [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))
% 67.96/19.92 | (195) ! [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))
% 67.96/19.92 | (196) ! [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_17_17, v1) = v9))
% 67.96/19.92 | (197) ? [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))))
% 67.96/19.92 | (198) ! [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, v5, v1) = v4 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v5))
% 67.96/19.92 | (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, v0) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))
% 67.96/19.92 | (200) ! [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)))
% 67.96/19.92 | (201) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_16_16) = v0)
% 67.96/19.92 | (202) ! [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))
% 67.96/19.92 | (203) ! [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))
% 67.96/19.92 | (204) ! [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_12_12, v5) = v6) | ~ (hAPP(all_0_12_12, v2) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, all_0_9_9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v4))
% 67.96/19.92 | (205) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 67.96/19.92 | (206) hAPP(all_0_17_17, all_0_18_18) = all_0_15_15
% 67.96/19.92 | (207) ! [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))
% 67.96/19.92 | (208) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Power_Opower_Opower(v4, v3, v2) = v1) | ~ (c_Power_Opower_Opower(v4, v3, v2) = v0))
% 67.96/19.92 | (209) ! [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)))
% 67.96/19.92 | (210) ! [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))
% 67.96/19.92 | (211) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v1, v5) = v6) | ~ (hAPP(all_0_12_12, v0) = v3) | ~ hBOOL(v6) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | ? [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))))
% 67.96/19.92 | (212) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_17_17, 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, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_16_16, v3))
% 67.96/19.92 | (213) ! [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))
% 67.96/19.92 | (214) hAPP(all_0_17_17, all_0_16_16) = all_0_14_14
% 67.96/19.92 | (215) ! [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_17_17, 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)))
% 67.96/19.92 | (216) c_Nat_OSuc(all_0_16_16) = all_0_6_6
% 67.96/19.92 | (217) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, all_0_18_18) = v2) | ~ (hAPP(all_0_11_11, v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2))
% 67.96/19.92 | (218) ! [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))
% 67.96/19.92 | (219) ! [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))
% 67.96/19.92 | (220) ! [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))
% 67.96/19.93 | (221) ! [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))
% 67.96/19.93 | (222) ! [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))
% 67.96/19.93 | (223) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ hBOOL(v2) | ? [v3] : ? [v4] : ? [v5] : ((c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, all_0_16_16) = v4 & hAPP(v1, v4) = v5 & hBOOL(v5) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v0) & ! [v6] : ! [v7] : ( ~ (hAPP(v1, v6) = v7) | ~ hBOOL(v7) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v6, v3))) | (hAPP(v1, all_0_18_18) = v3 & hBOOL(v3))))
% 67.96/19.93 | (224) ! [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))
% 67.96/19.93 | (225) ! [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)))
% 67.96/19.93 | (226) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Rings_Ozero__neq__one(v1))
% 67.96/19.93 | (227) ! [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_17_17, v1) = v6) | ~ class_Groups_Omonoid__mult(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10))
% 67.96/19.93 | (228) ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = all_0_9_9) | ? [v2] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v2, v0) = all_0_9_9 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2))
% 67.96/19.93 | (229) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v3) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ? [v5] : ? [v6] : (c_Nat_OSuc(v1) = v5 & hAPP(v6, v0) = v4 & hAPP(all_0_17_17, v5) = v6))
% 67.96/19.93 | (230) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, all_0_16_16) = v2) | ~ (hAPP(all_0_17_17, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0))
% 67.96/19.93 | (231) ? [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))))
% 67.96/19.93 | (232) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Ominus__class_Ominus(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__ring(v3) | ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ominus__class_Ominus(v9, v2, v1) = v10 & c_Polynomial_Opoly(v3, v10) = v11 & tc_Polynomial_Opoly(v3) = v9 & hAPP(v11, v0) = v8))
% 67.96/19.93 | (233) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v0, v1) = v3) | ~ class_Fields_Ofield(v2) | c_Polynomial_Opoly__gcd(v2, v1, v0) = v3)
% 67.96/19.93 | (234) ! [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))
% 67.96/19.93 | (235) ! [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))
% 67.96/19.93 | (236) ! [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))
% 67.96/19.93 | (237) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, 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, v1, v3))
% 67.96/19.93 | (238) ? [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))))
% 67.96/19.93 | (239) ! [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))
% 67.96/19.93 | (240) ! [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))
% 67.96/19.93 | (241) ! [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))
% 67.96/19.93 | (242) ! [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))
% 67.96/19.93 | (243) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Groups_Omonoid__mult(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_16_16) = v7 & c_Groups_Otimes__class_Otimes(v2) = v6 & hAPP(v9, v0) = v5 & hAPP(v6, v8) = v9 & hAPP(v4, v7) = v8))
% 67.96/19.93 | (244) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Omonom(v3, v4, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Omonom(v3, v2, v1) = v7 & c_Polynomial_Omonom(v3, v0, v1) = v8 & c_Groups_Oplus__class_Oplus(v6, v7, v8) = v5 & tc_Polynomial_Opoly(v3) = v6))
% 67.96/19.93 | (245) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v4 = v1 | ~ (c_Nat_OSuc(v11) = v12) | ~ (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, v12) = v13) | ~ (hAPP(v5, v9) = v10) | ~ c_Rings_Odvd__class_Odvd(v3, v13, v1) | ~ class_Rings_Oidom(v2))
% 67.96/19.93 | (246) ! [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))
% 67.96/19.93 | (247) ! [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))
% 67.96/19.93 | (248) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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)))
% 67.96/19.93 | (249) ! [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_12_12, v2) = v3) | ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v7 & hAPP(v3, v7) = v6))
% 67.96/19.93 | (250) ! [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))
% 67.96/19.93 | (251) ! [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)))
% 67.96/19.93 | (252) ! [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))
% 67.96/19.94 | (253) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Osmult(v4, v2, v1) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v3, v6) = v7) | ~ (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))
% 67.96/19.94 | (254) class_Rings_Osemiring__0(tc_Nat_Onat)
% 67.96/19.94 | (255) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Nat_OSuc(v0) = v3) | ~ (hAPP(v2, v3) = v4) | ~ (hAPP(all_0_17_17, v1) = v2) | ? [v5] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v5) = v4 & hAPP(v2, v0) = v5))
% 67.96/19.94 | (256) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_17_17, v0) = v1) | hAPP(v1, all_0_18_18) = all_0_18_18)
% 67.96/19.94 | (257) ! [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))
% 67.96/19.94 | (258) ! [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)))
% 67.96/19.94 | (259) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v2) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v5))
% 67.96/19.94 | (260) class_Rings_Olinordered__semiring__strict(tc_Int_Oint)
% 67.96/19.94 | (261) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__ab__semigroup__add(v1))
% 67.96/19.94 | (262) ! [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))))
% 67.96/19.94 | (263) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Osmult(v3, v2, v0) = v5) | ~ (c_Polynomial_Osmult(v3, v1, v0) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Polynomial_Osmult(v3, v8, v0) = v7 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v8))
% 67.96/19.94 | (264) ! [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)))
% 67.96/19.94 | (265) ! [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))
% 67.96/19.94 | (266) ! [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))
% 67.96/19.94 | (267) class_Rings_Ocomm__semiring__1(tc_Nat_Onat)
% 67.96/19.94 | (268) ! [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)))
% 67.96/19.94 | (269) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_18_18) = v1))
% 67.96/19.94 | (270) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2))
% 67.96/19.94 | (271) ! [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))))
% 67.96/19.94 | (272) ! [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))))
% 67.96/19.94 | (273) ! [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))))))
% 67.96/19.94 | (274) ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Oorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 67.96/19.94 | (275) ! [v0] : (v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_18_18, all_0_16_16) = v0))
% 67.96/19.94 | (276) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ? [v4] : (hAPP(v4, v1) = v3 & hAPP(all_0_17_17, v0) = v4))
% 67.96/19.94 | (277) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v3) = v4) | ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v3) | c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v4)
% 67.96/19.94 | (278) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ class_Rings_Ocomm__ring__1(v2) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v0) | c_Rings_Odvd__class_Odvd(v2, v3, v0))
% 67.96/19.94 | (279) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ class_Rings_Ocomm__ring__1(v2) | ~ c_Rings_Odvd__class_Odvd(v2, v3, v0) | c_Rings_Odvd__class_Odvd(v2, v1, v0))
% 67.96/19.94 | (280) ! [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))
% 67.96/19.94 | (281) ! [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))))
% 67.96/19.94 | (282) ! [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))
% 67.96/19.95 | (283) ! [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)))
% 67.96/19.95 | (284) ! [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)
% 67.96/19.95 | (285) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_17_17, v0) = v1) | hAPP(v1, all_0_16_16) = v0)
% 67.96/19.95 | (286) c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_0_9_9) = all_0_9_9
% 67.96/19.95 | (287) ! [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))
% 67.96/19.95 | (288) ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Odivision__ring(v0) | c_Rings_Oinverse__class_Oinverse(v0, v1) = v1)
% 67.96/19.95 | (289) ! [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))
% 67.96/19.95 | (290) class_Rings_Oordered__semiring(tc_Nat_Onat)
% 67.96/19.95 | (291) ! [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(v3, v2, v0) | c_Orderings_Oord__class_Oless(v3, v4, v5))
% 67.96/19.95 | (292) ! [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(v3, v4, v5) | c_Orderings_Oord__class_Oless(v3, v2, v0))
% 67.96/19.95 | (293) ! [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))
% 67.96/19.95 | (294) ! [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))
% 67.96/19.95 | (295) ! [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)))
% 67.96/19.95 | (296) class_Groups_Ocomm__monoid__add(tc_Nat_Onat)
% 67.96/19.95 | (297) ! [v0] : ~ (c_Nat_OSuc(v0) = v0)
% 67.96/19.95 | (298) ! [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_Ocomm__ring(v3) | ~ class_Rings_Odvd(v3) | ~ c_Rings_Odvd__class_Odvd(v3, v2, v1) | 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)))
% 67.96/19.95 | (299) ! [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)
% 67.96/19.95 | (300) ! [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))
% 67.96/19.95 | (301) ! [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))
% 67.96/19.95 | (302) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__ring__1(v0) | class_Rings_Ocomm__ring__1(v1))
% 67.96/19.95 | (303) ! [v0] : (v0 = all_0_16_16 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, all_0_16_16))
% 67.96/19.95 | (304) ! [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))))
% 67.96/19.95 | (305) ? [v0] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, all_0_18_18)
% 67.96/19.95 | (306) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6))
% 67.96/19.95 | (307) ! [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)))
% 67.96/19.95 | (308) ! [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))
% 67.96/19.95 | (309) ! [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))))
% 67.96/19.95 | (310) ! [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))))
% 67.96/19.95 | (311) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v6, v8) = v9) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (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_Ominus__class_Ominus(v3, v2, v1) = v10 & hAPP(v11, v0) = v9 & hAPP(v4, v10) = v11))
% 67.96/19.95 | (312) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Oorder(v1) | class_Orderings_Oorder(v2))
% 67.96/19.95 | (313) ! [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_12_12, 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))))
% 67.96/19.95 | (314) ! [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))
% 67.96/19.95 | (315) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Ocoeff(v3, v2) = v1) | ~ (c_Polynomial_Ocoeff(v3, v2) = v0))
% 67.96/19.95 | (316) ! [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))))
% 67.96/19.95 | (317) ! [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))))
% 67.96/19.95 | (318) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v5) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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)))
% 67.96/19.95 | (319) ! [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)))
% 67.96/19.95 | (320) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_16_16) = 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) | ~ class_Groups_Omonoid__mult(v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | hAPP(v5, v1) = v9)
% 67.96/19.95 | (321) ! [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))
% 67.96/19.96 | (322) ! [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))
% 67.96/19.96 | (323) ! [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)))
% 67.96/19.96 | (324) ! [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)))))
% 67.96/19.96 | (325) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Odivision__ring__inverse__zero(v0) | c_Rings_Oinverse__class_Oinverse(v0, v1) = v1)
% 67.96/19.96 | (326) ! [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)))
% 67.96/19.96 | (327) ! [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))
% 67.96/19.96 | (328) ! [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))
% 67.96/19.96 | (329) ! [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))
% 67.96/19.96 | (330) ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v0)
% 67.96/19.96 | (331) ! [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)
% 67.96/19.96 | (332) class_Orderings_Opreorder(tc_Int_Oint)
% 67.96/19.96 | (333) ! [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)))
% 67.96/19.96 | (334) ! [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)))
% 67.96/19.96 | (335) ! [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] : ? [v6] : ? [v7] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v6, v7) = v4 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v1) = v6 & c_Nat_OSuc(v2) = v5 & c_Nat_OSuc(v0) = v7))
% 67.96/19.96 | (336) ! [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))
% 67.96/19.96 | (337) ! [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))
% 67.96/19.96 | (338) ! [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(v2, v3, v0) | c_Orderings_Oord__class_Oless(v2, v4, v1))
% 67.96/19.96 | (339) ! [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(v2, v4, v1) | c_Orderings_Oord__class_Oless(v2, v3, v0))
% 67.96/19.96 | (340) ! [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))))
% 67.96/19.96 | (341) class_Rings_Olinordered__semiring__strict(tc_Nat_Onat)
% 67.96/19.96 | (342) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, all_0_18_18) = v1))
% 67.96/19.96 | (343) ! [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)))
% 67.96/19.96 | (344) ! [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)
% 67.96/19.96 | (345) ! [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)))
% 67.96/19.96 | (346) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless(v3, v2, v0))
% 67.96/19.96 | (347) class_Groups_Ouminus(tc_Int_Oint)
% 67.96/19.96 | (348) ! [v0] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_8_8, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v0))
% 67.96/19.96 | (349) ! [v0] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_8_8, v0))
% 67.96/19.96 | (350) ! [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))
% 67.96/19.96 | (351) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Orderings_Olinorder(v1))
% 67.96/19.96 | (352) ! [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))
% 67.96/19.96 | (353) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Osmult(v3, v4, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Osmult(v3, v2, v0) = v7 & c_Polynomial_Osmult(v3, v1, v0) = v8 & c_Groups_Oplus__class_Oplus(v6, v7, v8) = v5 & tc_Polynomial_Opoly(v3) = v6))
% 67.96/19.96 | (354) ! [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))
% 67.96/19.96 | (355) ! [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))
% 67.96/19.96 | (356) ! [v0] : ! [v1] : ( ~ (c_fequal(v0, v0) = v1) | hBOOL(v1))
% 67.96/19.96 | (357) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2))
% 67.96/19.96 | (358) ! [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)
% 67.96/19.96 | (359) ! [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))))
% 67.96/19.96 | (360) ! [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)))
% 67.96/19.96 | (361) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ class_Fields_Ofield(v2) | c_Polynomial_Opoly__gcd(v2, v0, v1) = v3)
% 67.96/19.96 | (362) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_12_12, 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_12_12, v2) = v6 & hAPP(all_0_12_12, v1) = v8))
% 67.96/19.96 | (363) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v2, v0) = v4) | ~ (c_Polynomial_Omonom(v3, v4, v1) = v5) | ~ class_Groups_Oab__group__add(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ominus__class_Ominus(v6, v7, v8) = v5 & c_Polynomial_Omonom(v3, v2, v1) = v7 & c_Polynomial_Omonom(v3, v0, v1) = v8 & tc_Polynomial_Opoly(v3) = v6))
% 67.96/19.96 | (364) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Ocoeff(v2, v4) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v1) = v4) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ class_Groups_Oab__group__add(v2) | ? [v7] : ? [v8] : (c_Polynomial_Ocoeff(v2, v1) = v7 & c_Groups_Ouminus__class_Ouminus(v2, v8) = v6 & hAPP(v7, v0) = v8))
% 67.96/19.96 | (365) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_17_17, v0) = v4) | ~ (hAPP(all_0_17_17, v0) = v2))
% 67.96/19.96 | (366) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_8_8 | ~ (hAPP(v2, v0) = all_0_8_8) | ~ (hAPP(all_0_12_12, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v1))
% 67.96/19.96 | (367) ! [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)
% 67.96/19.97 | (368) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Power_Opower__class_Opower(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v0) = v2) | ~ (hAPP(v3, all_0_18_18) = v4) | ~ (hAPP(v1, v2) = v3) | ~ class_Power_Opower(v0) | ~ class_Rings_Osemiring__0(v0) | c_Groups_Oone__class_Oone(v0) = v4)
% 67.96/19.97 | (369) ! [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_18_18) = v4))
% 67.96/19.97 | (370) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v2, v1) = v6) | ~ (tc_fun(v3, v4) = v5) | ~ (hAPP(v6, v0) = v7) | ~ class_Groups_Ominus(v4) | ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(v4, v8, v9) = v7 & hAPP(v2, v0) = v8 & hAPP(v1, v0) = v9))
% 67.96/19.97 | (371) ! [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))
% 68.34/19.97 | (372) ! [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))))
% 68.34/19.97 | (373) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1))
% 68.34/19.97 | (374) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v1) | ~ (c_Polynomial_Osynthetic__div(v4, v3, v2) = v0))
% 68.34/19.97 | (375) class_Rings_Oring(tc_Int_Oint)
% 68.34/19.97 | (376) ! [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)))
% 68.34/19.97 | (377) ! [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)))
% 68.34/19.97 | (378) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = all_0_18_18 | ~ (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))
% 68.34/19.97 | (379) ! [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_Polynomial_Osmult(v2, v0, v3) = v8 & c_Groups_Oplus__class_Oplus(v7, v1, v8) = v6 & tc_Polynomial_Opoly(v2) = v7))
% 68.34/19.97 | (380) class_Orderings_Opreorder(tc_HOL_Obool)
% 68.34/19.97 | (381) ! [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))))
% 68.34/19.97 | (382) hAPP(all_0_12_12, all_0_8_8) = all_0_7_7
% 68.34/19.97 | (383) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Opoly(v3, v2) = v1) | ~ (c_Polynomial_Opoly(v3, v2) = v0))
% 68.34/19.97 | (384) ! [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_13_13, v3) = v4) | ? [v7] : ? [v8] : (c_Divides_Odiv__class_Omod(tc_Int_Oint, v8, v1) = v6 & hAPP(v7, v0) = v8 & hAPP(all_0_13_13, v2) = v7))
% 68.34/19.97 | (385) ! [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)))
% 68.34/19.97 | (386) ! [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))
% 68.34/19.97 | (387) ! [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))
% 68.34/19.97 | (388) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3))
% 68.34/19.97 | (389) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(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, v0, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v1))
% 68.34/19.97 | (390) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_8_8, v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v1))
% 68.34/19.97 | (391) class_Orderings_Olinorder(tc_Nat_Onat)
% 68.34/19.97 | (392) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v5) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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))
% 68.34/19.97 | (393) class_Orderings_Opreorder(tc_Nat_Onat)
% 68.34/19.97 | (394) ! [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)))
% 68.34/19.97 | (395) ! [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))
% 68.34/19.97 | (396) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Groups_Oone(v1))
% 68.34/19.97 | (397) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(v3, v2, v2) = v4) | ~ (c_Groups_Ominus__class_Ominus(v3, v1, v0) = v4) | ~ class_Groups_Oab__group__add(v3))
% 68.34/19.97 | (398) ! [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))
% 68.34/19.97 | (399) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_18_18, v0) = v1))
% 68.34/19.97 | (400) ! [v0] : (v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_16_16, all_0_18_18) = v0))
% 68.34/19.97 | (401) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Lattices_Oboolean__algebra(v1) | class_Lattices_Oboolean__algebra(v2))
% 68.34/19.97 | (402) ! [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)))
% 68.34/19.97 | (403) ! [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))
% 68.34/19.97 | (404) ! [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))
% 68.34/19.97 | (405) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_8_8, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_9_9) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_0_9_9))
% 68.34/19.97 | (406) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_8_8, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, all_0_9_9) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_9_9))
% 68.34/19.97 | (407) ! [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)))
% 68.34/19.97 | (408) ! [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)))
% 68.34/19.97 | (409) ! [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))
% 68.34/19.97 | (410) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_16_16 | ~ (hAPP(v2, v0) = all_0_16_16) | ~ (hAPP(all_0_17_17, v1) = v2))
% 68.34/19.97 | (411) ? [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))
% 68.34/19.97 | (412) ! [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_Polynomial_Osynthetic__div(v4, v3, v2) = v11 & c_Polynomial_Osmult(v4, v2, v1) = v9 & c_Groups_Oplus__class_Oplus(v8, v3, v9) = v10 & tc_Polynomial_Opoly(v4) = v8 & ( ~ (v10 = v5) | (v11 = v1 & v7 = v0))))
% 68.34/19.97 | (413) ! [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))
% 68.34/19.97 | (414) ! [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)
% 68.34/19.97 | (415) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = all_0_18_18 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_13_13, v1) = v3) | ~ (hAPP(all_0_13_13, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v6))
% 68.34/19.98 | (416) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = all_0_18_18 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_13_13, v1) = v3) | ~ (hAPP(all_0_13_13, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v6) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0))
% 68.34/19.98 | (417) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v1))
% 68.34/19.98 | (418) ! [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))))
% 68.34/19.98 | (419) ! [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))
% 68.34/19.98 | (420) ! [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))
% 68.34/19.98 | (421) ! [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)))))
% 68.34/19.98 | (422) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1))
% 68.34/19.98 | (423) ! [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))))
% 68.34/19.98 | (424) ! [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))))
% 68.34/19.98 | (425) ! [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))
% 68.34/19.98 | (426) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocancel__comm__monoid__add(v0) | class_Groups_Ocancel__comm__monoid__add(v1))
% 68.34/19.98 | (427) ! [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))))))
% 68.34/19.98 | (428) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v1) = v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0))
% 68.34/19.98 | (429) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v5) = v4))
% 68.34/19.98 | (430) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_17_17, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_17_17, v1) = v4))
% 68.34/19.98 | (431) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_13_13, v2) = v3) | ? [v6] : ? [v7] : ? [v8] : (hAPP(v7, v8) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v8 & hAPP(all_0_12_12, v6) = v7))
% 68.34/19.98 | (432) ! [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)
% 68.34/19.98 | (433) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_17_17, 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_17_17, v2) = v6 & hAPP(all_0_17_17, v1) = v8))
% 68.34/19.98 | (434) ! [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))
% 68.34/19.98 | (435) ! [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_Nat_OSuc(v7) = v8 & c_Polynomial_Odegree(v2, v1) = v7 & tc_Polynomial_Opoly(v2) = v5 & c_Groups_Ozero__class_Ozero(v5) = v6 & (v8 = v4 | v6 = v1)))
% 68.34/19.98 | (436) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semiring__strict(v1))
% 68.34/19.98 | (437) ! [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))
% 68.34/19.98 | (438) ! [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))
% 68.34/19.98 | (439) ! [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))
% 68.34/19.98 | (440) ! [v0] : ! [v1] : ( ~ class_Orderings_Oorder(v1) | ~ c_Orderings_Oord__class_Oless(v1, v0, v0))
% 68.34/19.98 | (441) ! [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)))
% 68.34/19.98 | (442) ! [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))
% 68.34/19.98 | (443) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v1))
% 68.34/19.98 | (444) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v1, v0))
% 68.34/19.98 | (445) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Opoly(v3, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_Opoly(v3, v2) = v8 & c_Polynomial_Opoly(v3, v1) = v10 & c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9))
% 68.34/19.98 | (446) ! [v0] : ! [v1] : (v1 = all_0_16_16 | ~ (hAPP(all_0_10_10, v0) = v1))
% 68.34/19.98 | (447) ! [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_17_17, v2) = v3) | c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v6)
% 68.34/19.98 | (448) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Polynomial_Opoly(v3, v1) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : (c_Polynomial_Opoly(v3, v9) = v10 & c_Polynomial_Osmult(v3, v2, v1) = v9 & hAPP(v10, v0) = v8))
% 68.34/19.98 | (449) ! [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))
% 68.34/19.98 | (450) ! [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))
% 68.34/19.98 | (451) ! [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))
% 68.34/19.98 | (452) ! [v0] : (v0 = all_0_18_18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_16_16))
% 68.34/19.98 | (453) ! [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))
% 68.34/19.98 | (454) ! [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)
% 68.34/19.98 | (455) ! [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))
% 68.34/19.98 | (456) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Oorder(v4, v3, v2) = v1) | ~ (c_Polynomial_Oorder(v4, v3, v2) = v0))
% 68.34/19.98 | (457) ? [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))))
% 68.34/19.98 | (458) ! [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))
% 68.34/19.98 | (459) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Nat_OSuc(v1) = v2) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_17_17, v2) = v3))
% 68.34/19.98 | (460) ! [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)))
% 68.34/19.98 | (461) ! [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(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v3, v2))
% 68.34/19.98 | (462) ! [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(v4, v3, v2) | c_Orderings_Oord__class_Oless(v4, v1, v0))
% 68.34/19.98 | (463) ! [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))
% 68.34/19.98 | (464) ! [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, v3) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v5, v1) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v5))
% 68.34/19.98 | (465) ! [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))
% 68.34/19.98 | (466) ! [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))
% 68.34/19.98 | (467) ! [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))
% 68.34/19.99 | (468) ! [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))
% 68.34/19.99 | (469) ! [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))
% 68.34/19.99 | (470) ! [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))
% 68.34/19.99 | (471) ! [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))
% 68.34/19.99 | (472) ! [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))
% 68.34/19.99 | (473) ? [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))
% 68.34/19.99 | (474) ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_18_18, v0)
% 68.34/19.99 | (475) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v5 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v0) = v4))
% 68.34/19.99 | (476) ! [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))
% 68.34/19.99 | (477) ! [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))
% 68.34/19.99 | (478) class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat)
% 68.34/19.99 | (479) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(v1, v0, v0) = v2) | ~ class_Groups_Ogroup__add(v1) | c_Groups_Ozero__class_Ozero(v1) = v2)
% 68.34/19.99 | (480) ! [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))
% 68.34/19.99 | (481) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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))
% 68.34/19.99 | (482) ! [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)))
% 68.34/19.99 | (483) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1) | hAPP(v3, all_0_16_16) = v0)
% 68.34/19.99 | (484) ! [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))
% 68.34/19.99 | (485) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Opreorder(v1) | class_Orderings_Opreorder(v2))
% 68.34/19.99 | (486) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ozero(v0) | class_Groups_Ozero(v1))
% 68.34/19.99 | (487) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3) | ? [v4] : (c_Nat_OSuc(v4) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4))
% 68.34/19.99 | (488) ! [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))
% 68.34/19.99 | (489) ! [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))
% 68.34/19.99 | (490) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v1 | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v0, v1) = v3) | hBOOL(v4) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2))
% 68.34/19.99 | (491) ! [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))
% 68.34/19.99 | (492) ! [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)
% 68.40/19.99 | (493) ! [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))))
% 68.40/19.99 | (494) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_9_9 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v2) | ? [v3] : (hAPP(all_0_12_12, v0) = v3 & ! [v4] : ~ (hAPP(v3, v4) = v1)))
% 68.40/19.99 | (495) ! [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))))
% 68.40/19.99 | (496) ! [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))
% 68.40/19.99 | (497) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = all_0_9_9
% 68.40/19.99 | (498) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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))))
% 68.40/19.99 | (499) ! [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)))
% 68.40/19.99 | (500) class_Lattices_Oboolean__algebra(tc_HOL_Obool)
% 68.40/19.99 | (501) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_0_8_8) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 68.40/19.99 | (502) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_0_8_8) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0))
% 68.40/19.99 | (503) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Nat_OSuc(v0) = v2) | ? [v4] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v0) = v3 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_16_16) = v4))
% 68.40/19.99 | (504) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_17_17, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2))
% 68.40/19.99 | (505) ! [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))
% 68.40/19.99 | (506) ! [v0] : ! [v1] : ( ~ class_Orderings_Olinorder(v1) | ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 68.40/19.99 | (507) ! [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)))
% 68.40/19.99 | (508) class_Rings_Ono__zero__divisors(tc_Int_Oint)
% 68.40/19.99 | (509) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Fields_Ofield(v0) | class_Divides_Osemiring__div(v1))
% 68.40/19.99 | (510) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly(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_Polynomial_Opoly(v3, v1) = v9 & c_Groups_Otimes__class_Otimes(v3) = v7 & hAPP(v9, v0) = v10 & hAPP(v8, v10) = v6 & hAPP(v7, v2) = v8))
% 68.40/19.99 | (511) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_13_13, v4) = v5) | ~ (hAPP(all_0_13_13, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_17_17, v1) = v7))
% 68.40/19.99 | (512) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = all_0_9_9 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_12_12, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v5))
% 68.40/19.99 | (513) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = all_0_9_9 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_12_12, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v5) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0))
% 68.40/19.99 | (514) ! [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))
% 68.40/19.99 | (515) ! [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))))
% 68.40/19.99 | (516) class_Rings_Ocomm__semiring__0(t_a)
% 68.40/19.99 | (517) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Polynomial_Opoly(v3, v2) = v5) | ~ (c_Polynomial_Opoly(v3, v1) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (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_Polynomial_Opoly(v3, v14) = v15 & c_Groups_Otimes__class_Otimes(v11) = v12 & tc_Polynomial_Opoly(v3) = v11 & hAPP(v15, v0) = v10 & hAPP(v13, v1) = v14 & hAPP(v12, v2) = v13))
% 68.40/19.99 | (518) ! [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))
% 68.40/19.99 | (519) class_Rings_Ocomm__semiring__1(tc_Int_Oint)
% 68.40/19.99 | (520) ! [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)))
% 68.40/20.00 | (521) ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & hAPP(v1, v2) = v3 & hAPP(v0, v2) = v4))
% 68.40/20.00 | (522) class_Rings_Ocomm__ring(tc_Int_Oint)
% 68.40/20.00 | (523) ? [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)))
% 68.40/20.00 | (524) class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint)
% 68.40/20.00 | (525) ! [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)
% 68.40/20.00 | (526) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ? [v6] : ? [v7] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v6, v7) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v7))
% 68.40/20.00 | (527) ! [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))
% 68.40/20.00 | (528) ! [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))
% 68.40/20.00 | (529) ! [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))
% 68.40/20.00 | (530) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Polynomial_Omonom(v4, v3, v2) = v7) | ~ (c_Polynomial_Omonom(v4, v1, v0) = v9) | ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ (hAPP(v8, v9) = v10) | ~ (hAPP(v6, v7) = v8) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Polynomial_Omonom(v4, v13, v14) = v10 & c_Groups_Otimes__class_Otimes(v4) = v11 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v14 & hAPP(v12, v1) = v13 & hAPP(v11, v3) = v12))
% 68.40/20.00 | (531) ! [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))
% 68.40/20.00 | (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(v1, v4, v5)))
% 68.40/20.00 | (533) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_17_17, 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, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3))
% 68.40/20.00 | (534) ! [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_18_18) = v4))
% 68.40/20.00 | (535) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2))
% 68.40/20.00 | (536) ! [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))
% 68.40/20.00 | (537) ? [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))))))
% 68.40/20.00 | (538) ! [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))
% 68.40/20.00 | (539) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(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__ring(v3) | ? [v8] : (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v8 & c_Polynomial_Osmult(v3, v8, v0) = v7))
% 68.40/20.00 | (540) ! [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)))
% 68.40/20.00 | (541) class_Rings_Olinordered__idom(tc_Int_Oint)
% 68.40/20.00 | (542) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Oone__class_Oone(v2) = v1) | ~ (c_Groups_Oone__class_Oone(v2) = v0))
% 68.40/20.00 | (543) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Polynomial_Ocoeff(v3, v2) = v4) | ~ (c_Polynomial_Ocoeff(v3, v1) = v6) | ~ (c_Groups_Oplus__class_Oplus(v3, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_Ocoeff(v3, v10) = v11 & c_Groups_Oplus__class_Oplus(v9, v2, v1) = v10 & tc_Polynomial_Opoly(v3) = v9 & hAPP(v11, v0) = v8))
% 68.40/20.00 | (544) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_17_17, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6))
% 68.40/20.00 | (545) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_17_17, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 68.40/20.00 | (546) class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint)
% 68.40/20.00 | (547) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__ab__group__add(v1))
% 68.40/20.00 | (548) ! [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)))
% 68.40/20.00 | (549) ! [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_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_17_17, v8) = v9))
% 68.40/20.00 | (550) ! [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))
% 68.40/20.00 | (551) ! [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))
% 68.40/20.00 | (552) ! [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))
% 68.40/20.00 | (553) ! [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))
% 68.40/20.00 | (554) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_13_13, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v3))
% 68.40/20.00 | (555) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (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)))
% 68.40/20.00 | (556) class_Rings_Oordered__ring(tc_Int_Oint)
% 68.40/20.00 | (557) ! [v0] : ! [v1] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = all_0_18_18) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 68.40/20.00 | (558) ! [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)))
% 68.40/20.00 | (559) ! [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))))
% 68.40/20.00 | (560) ! [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))))
% 68.40/20.00 | (561) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocomm__monoid__add(v0) | class_Groups_Oab__semigroup__add(v1))
% 68.40/20.00 | (562) ? [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)))))
% 68.40/20.00 | (563) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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))
% 68.40/20.00 | (564) ! [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))
% 68.40/20.00 | (565) class_Groups_Omonoid__add(tc_Nat_Onat)
% 68.40/20.00 | (566) ! [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))))
% 68.40/20.00 | (567) class_Power_Opower(tc_Nat_Onat)
% 68.40/20.00 | (568) ! [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))
% 68.40/20.00 | (569) ! [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)))))
% 68.40/20.00 | (570) ! [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)
% 68.40/20.00 | (571) ! [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)
% 68.40/20.01 | (572) ! [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))
% 68.40/20.01 | (573) ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = all_0_18_18) | ? [v2] : ? [v3] : (hAPP(v2, v3) = v1 & hAPP(all_0_17_17, v0) = v2))
% 68.40/20.01 | (574) ! [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))
% 68.40/20.01 | (575) class_Groups_Oone(tc_Int_Oint)
% 68.40/20.01 | (576) ! [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)))
% 68.40/20.01 | (577) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v0) = v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6))
% 68.40/20.01 | (578) ! [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))))
% 68.40/20.01 | (579) class_Groups_Olinordered__ab__group__add(tc_Int_Oint)
% 68.40/20.01 | (580) ! [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))))
% 68.40/20.01 | (581) ! [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))
% 68.40/20.01 | (582) ! [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))
% 68.40/20.01 | (583) ! [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))
% 68.40/20.01 | (584) ! [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))
% 68.40/20.01 | (585) ? [v0] : ? [v1] : (v1 = v0 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1))
% 68.40/20.01 | (586) class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)
% 68.40/20.01 | (587) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Oordered__semiring(v1))
% 68.40/20.01 | (588) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_16_16 | ~ (hAPP(v1, all_0_18_18) = v2) | ~ (hAPP(all_0_11_11, v0) = v1))
% 68.40/20.01 | (589) ! [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_18_18)))
% 68.40/20.01 | (590) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Opcompose(v4, v3, v2) = v1) | ~ (c_Polynomial_Opcompose(v4, v3, v2) = v0))
% 68.40/20.01 | (591) ! [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))
% 68.40/20.01 | (592) ! [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))
% 68.40/20.01 | (593) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__idom(v1))
% 68.40/20.01 | (594) ! [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)
% 68.40/20.01 | (595) ! [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)))
% 68.40/20.01 | (596) ! [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_9_9) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))
% 68.40/20.01 | (597) ! [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))))
% 68.40/20.01 | (598) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | c_Orderings_Oord__class_Oless(v3, v2, v0))
% 68.40/20.01 | (599) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_12_12, v2) = v3) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_12_12, v1) = v5))
% 68.40/20.01 | (600) ! [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))
% 68.40/20.01 | (601) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_18_18 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : (hAPP(all_0_17_17, v0) = v3 & ! [v4] : ~ (hAPP(v3, v4) = v1)))
% 68.40/20.01 | (602) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v2) | c_Orderings_Oord__class_Oless(v3, v0, v1))
% 68.40/20.01 | (603) class_Groups_Omonoid__mult(tc_Nat_Onat)
% 68.40/20.01 | (604) ! [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))
% 68.40/20.01 | (605) ! [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))))
% 68.40/20.01 | (606) ! [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))
% 68.40/20.01 | (607) ! [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)))
% 68.40/20.01 | (608) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1))
% 68.40/20.01 | (609) ! [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))
% 68.40/20.01 | (610) class_Orderings_Oorder(tc_HOL_Obool)
% 68.40/20.01 | (611) ? [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))))
% 68.40/20.01 | (612) ! [v0] : ! [v1] : (v1 = all_0_18_18 | v0 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_16_16))
% 68.40/20.01 | (613) ! [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))
% 68.40/20.01 | (614) ! [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))))
% 68.40/20.01 | (615) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Polynomial_Opoly(v3, v1) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v8) = v9) | ~ (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))
% 68.40/20.01 | (616) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v6) | ~ (c_Polynomial_Ocoeff(v2, v0) = v9) | ~ (c_Polynomial_Odegree(v2, v1) = v3) | ~ (c_Polynomial_Odegree(v2, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (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_Polynomial_Ocoeff(v2, v15) = v16 & c_Groups_Otimes__class_Otimes(v12) = v13 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v4) = v17 & tc_Polynomial_Opoly(v2) = v12 & hAPP(v16, v17) = v11 & hAPP(v14, v0) = v15 & hAPP(v13, v1) = v14))
% 68.40/20.01 | (617) ! [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))
% 68.40/20.01 | (618) ! [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))
% 68.40/20.01 | (619) ! [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))
% 68.40/20.01 | (620) ! [v0] : ! [v1] : ( ~ class_Orderings_Olinorder(v1) | ~ c_Orderings_Oord__class_Oless(v1, v0, v0))
% 68.40/20.01 | (621) ! [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))
% 68.40/20.01 | (622) ! [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))
% 68.40/20.01 | (623) ! [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))
% 68.40/20.01 | (624) ! [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))
% 68.40/20.01 | (625) ! [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))
% 68.40/20.01 | (626) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 68.40/20.01 | (627) ! [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))
% 68.40/20.01 | (628) ! [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_Polynomial_Osmult(v3, v2, v0) = v9 & c_Groups_Oplus__class_Oplus(v4, v9, v13) = v8 & c_Polynomial_OpCons(v3, v10, v12) = v13 & c_Groups_Ozero__class_Ozero(v3) = v10 & hAPP(v11, v0) = v12 & hAPP(v5, v1) = v11))
% 68.40/20.02 | (629) ! [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))))
% 68.40/20.02 | (630) ! [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(v3, v1, v0) | c_Orderings_Oord__class_Oless(v3, v4, v5))
% 68.40/20.02 | (631) ! [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(v3, v4, v5) | c_Orderings_Oord__class_Oless(v3, v1, v0))
% 68.40/20.02 | (632) ! [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_Nat_OSuc(v7) = v8 & c_Polynomial_Odegree(v2, v1) = v7 & tc_Polynomial_Opoly(v2) = v5 & c_Groups_Ozero__class_Ozero(v5) = v6 & ( ~ (v6 = v1) | v4 = all_0_18_18) & (v8 = v4 | v6 = v1)))
% 68.40/20.02 | (633) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_18_18 | ~ (c_Polynomial_Odegree(v0, v2) = v3) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Groups_Ozero(v0))
% 68.40/20.02 | (634) class_Rings_Oring__1(tc_Int_Oint)
% 68.40/20.02 | (635) ! [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))
% 68.40/20.02 | (636) ! [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))
% 68.40/20.02 | (637) ? [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)))
% 68.40/20.02 | (638) class_Rings_Oordered__comm__semiring(tc_Int_Oint)
% 68.40/20.02 | (639) ! [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_18_18))) & ( ~ (v6 = v1) | v5 = v1 | v0 = all_0_18_18)))
% 68.40/20.02 | (640) ! [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))
% 68.40/20.02 | (641) ! [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))
% 68.40/20.02 | (642) class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat)
% 68.40/20.02 | (643) ! [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))
% 68.40/20.02 | (644) ! [v0] : ! [v1] : (v1 = all_0_18_18 | ~ (hAPP(all_0_15_15, v0) = v1))
% 68.40/20.02 | (645) ! [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))
% 68.40/20.02 | (646) ! [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))
% 68.40/20.02 | (647) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_17_17, v3) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6))
% 68.40/20.02 | (648) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_17_17, v3) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 68.40/20.02 | (649) class_Groups_Omonoid__mult(tc_Int_Oint)
% 68.40/20.02 | (650) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v2) = v1) | ~ (c_Nat_OSuc(v2) = v0))
% 68.40/20.02 | (651) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_fequal(v0, v9) = v10) | ~ (c_If(v4, v10, v3, v11) = v12) | ~ (c_Polynomial_Opoly__rec(v4, v5, v3, v2, v0) = v11) | ~ (tc_Polynomial_Opoly(v5) = v8) | ~ (c_Groups_Ozero__class_Ozero(v8) = v9) | ~ (hAPP(v7, v12) = v13) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v2, v1) = v6) | ~ class_Groups_Ozero(v5) | ? [v14] : (c_Polynomial_Opoly__rec(v4, v5, v3, v2, v14) = v13 & c_Polynomial_OpCons(v5, v1, v0) = v14))
% 68.50/20.02 | (652) class_Groups_Ocancel__semigroup__add(tc_Int_Oint)
% 68.50/20.02 | (653) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_17_17, v3) = v4) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v7, v9) = v5 & hAPP(v8, v0) = v9 & hAPP(v6, v0) = v7 & hAPP(all_0_17_17, v2) = v6 & hAPP(all_0_17_17, v1) = v8))
% 68.50/20.02 | (654) ! [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)))
% 68.50/20.02 | (655) ! [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)))
% 68.50/20.02 | (656) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0))
% 68.50/20.02 | (657) ! [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))
% 68.50/20.02 | (658) ? [v0] : ? [v1] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))
% 68.50/20.02 | (659) ! [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))
% 68.50/20.02 | (660) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_17_17, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5))
% 68.50/20.02 | (661) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ (hAPP(all_0_12_12, v4) = v5) | ~ (hAPP(all_0_13_13, v2) = v3) | ? [v8] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v8 & hAPP(v3, v8) = v7))
% 68.50/20.02 | (662) class_Groups_Ozero(tc_Int_Oint)
% 68.50/20.02 | (663) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_9_9 | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2))
% 68.50/20.02 | (664) ! [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)))
% 68.50/20.02 | (665) ! [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))
% 68.50/20.02 | (666) ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 68.50/20.02 | (667) ! [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))))
% 68.50/20.02 | (668) ! [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))
% 68.50/20.02 | (669) ! [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))
% 68.50/20.02 | (670) class_Groups_Oab__group__add(tc_Int_Oint)
% 68.50/20.02 | (671) ! [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)
% 68.50/20.02 | (672) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v2, v1) = v5) | ~ (c_Polynomial_Opoly(v3, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ class_Rings_Ocomm__ring(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ominus__class_Ominus(v3, v9, v11) = v7 & c_Polynomial_Opoly(v3, v2) = v8 & c_Polynomial_Opoly(v3, v1) = v10 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9))
% 68.50/20.02 | (673) ! [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))
% 68.50/20.03 | (674) ! [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))
% 68.50/20.03 | (675) ! [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))
% 68.50/20.03 | (676) ! [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))))
% 68.50/20.03 | (677) ! [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))
% 68.50/20.03 | (678) ! [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))))))
% 68.52/20.03 | (679) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v1) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v3, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v4))
% 68.52/20.03 | (680) ! [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)))
% 68.52/20.03 | (681) ! [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_17_17, v1) = v9))
% 68.52/20.03 | (682) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | v0 = all_0_18_18 | ~ (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))
% 68.52/20.03 | (683) ! [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))
% 68.52/20.03 | (684) ! [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))))
% 68.52/20.03 | (685) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : ? [v4] : (c_Nat_OSuc(v2) = v4 & c_Nat_OSuc(v0) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v3) = v4))
% 68.52/20.03 | (686) ! [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))
% 68.52/20.03 | (687) ! [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))
% 68.52/20.03 | (688) ! [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))
% 68.52/20.03 | (689) ! [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)))
% 68.52/20.03 | (690) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_16_16) = v1) | c_Nat_OSuc(v0) = v1)
% 68.52/20.03 | (691) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_16_16) = v1)
% 68.52/20.03 | (692) ! [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))
% 68.52/20.03 | (693) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_9_9) = v1))
% 68.52/20.03 | (694) ! [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))
% 68.52/20.03 | (695) ! [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)))
% 68.52/20.03 | (696) ! [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))
% 68.52/20.03 | (697) ! [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))
% 68.52/20.03 | (698) ! [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))
% 68.52/20.03 | (699) ! [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))
% 68.52/20.03 | (700) ! [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))))
% 68.52/20.03 | (701) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Polynomial_Omonom(v1, v0, all_0_18_18) = 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))
% 68.52/20.03 | (702) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v1 = v0 | ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (c_Polynomial_Ocoeff(v2, v0) = v6) | ~ (c_Polynomial_Odegree(v2, v1) = v4) | ~ (c_Polynomial_Odegree(v2, v0) = v7) | ~ (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))))
% 68.52/20.03 | (703) class_Orderings_Oorder(tc_Int_Oint)
% 68.52/20.03 | (704) ! [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))
% 68.52/20.03 | (705) ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_14_14, v0) = v1))
% 68.52/20.03 | (706) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(all_0_15_15, v1) = v2) | ~ (hAPP(all_0_15_15, v0) = v3) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v3))
% 68.52/20.03 | (707) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oplus(v0))
% 68.52/20.03 | (708) ! [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))
% 68.52/20.03 | (709) ! [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))
% 68.52/20.03 | (710) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Oordered__comm__semiring(v1))
% 68.52/20.03 | (711) ! [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)))
% 68.52/20.03 | (712) ! [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))))
% 68.52/20.03 | (713) ! [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))
% 68.52/20.03 | (714) ! [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)))
% 68.52/20.03 | (715) class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint)
% 68.52/20.03 | (716) ! [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))
% 68.52/20.03 | (717) ! [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_17_17, v3) = v4) | ~ (hAPP(all_0_17_17, 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_17_17, v10) = v11))
% 68.52/20.03 | (718) ! [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))
% 68.52/20.03 | (719) ! [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))))
% 68.52/20.04 | (720) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : ? [v4] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v4) = v2 & c_Nat_OSuc(v1) = v3 & c_Nat_OSuc(v0) = v4))
% 68.52/20.04 | (721) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_13_13, 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_13_13, v6) = v7))
% 68.52/20.04 | (722) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 68.52/20.04 | (723) class_Rings_Oordered__cancel__semiring(tc_Nat_Onat)
% 68.52/20.04 | (724) ! [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)))
% 68.52/20.04 | (725) ? [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))
% 68.52/20.04 | (726) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v1, v0) = v4) | ~ class_Rings_Ocomm__ring__1(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))
% 68.52/20.04 | (727) ! [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)))))
% 68.52/20.04 | (728) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = all_0_18_18 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_11_11, v2) = v3) | ~ (hAPP(all_0_11_11, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v6) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0))
% 68.52/20.04 | (729) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_8_8) = v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1))
% 68.52/20.04 | (730) ? [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))))
% 68.52/20.04 | (731) ! [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)))
% 68.52/20.04 | (732) ! [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_17_17, 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_17_17, v3) = v8 & hAPP(all_0_17_17, v1) = v10))
% 68.52/20.04 | (733) ! [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))
% 68.52/20.04 | (734) ! [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))
% 68.52/20.04 | (735) ! [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))
% 68.52/20.04 | (736) ! [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))
% 68.52/20.04 | (737) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_12_12, v4) = v5) | ~ (hAPP(all_0_12_12, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_12_12, v1) = v7))
% 68.52/20.04 | (738) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ? [v3] : ? [v4] : (c_Nat_OSuc(v2) = v4 & c_Nat_OSuc(v1) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v0) = v4))
% 68.52/20.04 | (739) class_Rings_Oidom(tc_Int_Oint)
% 68.52/20.04 | (740) ! [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)))
% 68.52/20.04 | (741) ? [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)))
% 68.52/20.04 | (742) ! [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))))
% 68.52/20.04 | (743) class_Orderings_Oord(tc_Int_Oint)
% 68.52/20.04 | (744) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v4) | ? [v7] : ? [v8] : (hAPP(v8, v0) = v6 & hAPP(v3, v1) = v7 & hAPP(all_0_17_17, v7) = v8))
% 68.52/20.04 | (745) class_Rings_Ono__zero__divisors(tc_Nat_Onat)
% 68.52/20.04 | (746) ! [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))
% 68.52/20.04 | (747) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Ocoeff(v1, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ (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_18_18) | v6 = v5) & (v7 = v5 | v0 = all_0_18_18)))
% 68.52/20.04 | (748) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (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)))
% 68.52/20.04 | (749) ! [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))
% 68.52/20.04 | (750) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Polynomial_Ocoeff(v2, v6) = v7) | ~ (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) | ~ (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_Polynomial_Ocoeff(v2, v1) = v13 & c_Polynomial_Ocoeff(v2, v0) = v16 & c_Groups_Otimes__class_Otimes(v2) = v12 & hAPP(v16, v9) = v17 & hAPP(v15, v17) = v11 & hAPP(v13, v8) = v14 & hAPP(v12, v14) = v15))
% 68.52/20.04 | (751) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v2) = v4) | ~ (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, v0, v4))
% 68.52/20.04 | (752) ! [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))
% 68.52/20.04 | (753) ! [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))
% 68.52/20.04 | (754) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v1, v2) = v3) | ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_17_17, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3))
% 68.52/20.04 | (755) ! [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))
% 68.52/20.04 | (756) ! [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))
% 68.52/20.04 | (757) ! [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))
% 68.52/20.04 | (758) ! [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))))
% 68.52/20.04 | (759) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Polynomial_Opoly(v3, v2) = v4) | ~ (c_Polynomial_Opoly(v3, v1) = v6) | ~ (c_Groups_Oplus__class_Oplus(v3, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_Opoly(v3, v10) = v11 & c_Groups_Oplus__class_Oplus(v9, v2, v1) = v10 & tc_Polynomial_Opoly(v3) = v9 & hAPP(v11, v0) = v8))
% 68.52/20.04 | (760) class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat)
% 68.52/20.04 | (761) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Rings_Oinverse__class_Oinverse(v3, v2) = v1) | ~ (c_Rings_Oinverse__class_Oinverse(v3, v2) = v0))
% 68.52/20.04 | (762) ! [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))
% 68.52/20.04 | (763) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Ominus__class_Ominus(v5, v2, v0) = v7) | ~ (c_Groups_Ominus__class_Ominus(v4, v3, v1) = v6) | ~ (c_Polynomial_OpCons(v4, v6, v7) = v8) | ~ (tc_Polynomial_Opoly(v4) = v5) | ~ class_Groups_Oab__group__add(v4) | ? [v9] : ? [v10] : (c_Groups_Ominus__class_Ominus(v5, v9, v10) = v8 & c_Polynomial_OpCons(v4, v3, v2) = v9 & c_Polynomial_OpCons(v4, v1, v0) = v10))
% 68.52/20.05 | (764) class_Rings_Odvd(tc_Int_Oint)
% 68.52/20.05 | (765) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__cancel__ab__semigroup__add(v1))
% 68.52/20.05 | (766) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Rings_Ocomm__semiring__1(v1))
% 68.52/20.05 | (767) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 68.52/20.05 | (768) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 68.52/20.05 | (769) ? [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))))
% 68.52/20.05 | (770) ! [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))
% 68.52/20.05 | (771) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 68.52/20.05 | (772) ? [v0] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v0)
% 68.52/20.05 | (773) ! [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))))
% 68.52/20.05 | (774) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_OpCons(v4, v3, v2) = v1) | ~ (c_Polynomial_OpCons(v4, v3, v2) = v0))
% 68.52/20.05 | (775) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Rings_Oidom(v1))
% 68.52/20.05 | (776) ! [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))))
% 68.52/20.05 | (777) ! [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)))
% 68.52/20.05 | (778) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_0_18_18
% 68.52/20.05 | (779) ? [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)))
% 68.52/20.05 | (780) ! [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)))
% 68.52/20.05 | (781) ! [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(v3, v1, v0) | 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)))
% 68.52/20.05 | (782) ! [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_9_9))
% 68.52/20.05 | (783) class_Rings_Omult__zero(tc_Nat_Onat)
% 68.52/20.05 | (784) ? [v0] : ! [v1] : ( ~ class_Rings_Ocomm__semiring__1(v1) | c_Rings_Odvd__class_Odvd(v1, v0, v0))
% 68.52/20.05 | (785) ! [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))))
% 68.52/20.05 | (786) ! [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))))
% 68.52/20.05 | (787) ? [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)))))
% 68.52/20.05 | (788) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Groups_Ogroup__add(v0) | c_Groups_Ouminus__class_Ouminus(v0, v1) = v1)
% 68.52/20.05 | (789) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_18_18 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 68.52/20.05 | (790) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ? [v5] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v5 & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v5) = v4))
% 68.52/20.05 | (791) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6))
% 68.52/20.05 | (792) ! [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))))
% 68.52/20.05 | (793) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Omult__zero(v1))
% 68.52/20.05 | (794) ! [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))))
% 68.52/20.05 | (795) ! [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))))
% 68.52/20.05 | (796) ! [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))
% 68.52/20.05 | (797) ! [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)))
% 68.52/20.05 | (798) ! [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))
% 68.52/20.05 | (799) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_18_18 | ~ (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)))
% 68.52/20.05 | (800) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oab__semigroup__add(v0))
% 68.52/20.05 | (801) class_Groups_Ocancel__semigroup__add(tc_Nat_Onat)
% 68.52/20.05 | (802) ! [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)))
% 68.52/20.05 | (803) ! [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))
% 68.52/20.05 | (804) ! [v0] : ! [v1] : (v1 = all_0_18_18 | ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, all_0_16_16) = v1))
% 68.52/20.05 | (805) ! [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)))
% 68.52/20.05 | (806) ! [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)))
% 68.52/20.05 | (807) ! [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))
% 68.52/20.05 | (808) ! [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))
% 68.52/20.05 | (809) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_16_16, v0) = v1) | c_Nat_OSuc(v0) = v1)
% 68.52/20.05 | (810) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_16_16, v0) = v1)
% 68.52/20.05 | (811) ! [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))
% 68.52/20.06 | (812) ! [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))
% 68.52/20.06 | (813) ! [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))
% 68.52/20.06 | (814) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_12_12, v1) = v2) | ? [v4] : (hAPP(v4, v1) = v3 & hAPP(all_0_12_12, v0) = v4))
% 68.52/20.06 | (815) ! [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))
% 68.52/20.06 | (816) ! [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)))
% 68.52/20.06 | (817) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint)
% 68.52/20.06 | (818) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v4) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Groups_Oab__group__add(v2) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Ocoeff(v2, v7) = v8 & c_Groups_Ouminus__class_Ouminus(v6, v1) = v7 & tc_Polynomial_Opoly(v2) = v6 & hAPP(v8, v0) = v5))
% 68.52/20.06 | (819) ! [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)))
% 68.52/20.06 | (820) ! [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))
% 68.52/20.06 | (821) ! [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))
% 68.52/20.06 | (822) ? [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Rings_Odvd__class_Odvd(v1, v0, v2))
% 68.52/20.06 | (823) ! [v0] : (v0 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_18_18, all_0_18_18) = v0))
% 68.52/20.06 | (824) ! [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))
% 68.52/20.06 | (825) ! [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))
% 68.52/20.06 | (826) ! [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)))
% 68.52/20.06 | (827) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = all_0_18_18 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0))
% 68.52/20.06 | (828) ? [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))))
% 68.52/20.06 | (829) ! [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))
% 68.52/20.06 | (830) ! [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))
% 68.52/20.06 | (831) ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1))
% 68.52/20.06 | (832) ! [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))
% 68.52/20.06 | (833) ! [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_6_6) = v8 & hAPP(v4, all_0_6_6) = v6 & hAPP(v3, v0) = v7 & ( ~ (v8 = v6) | v5 = v1 | v1 = v0) & (v8 = v6 | ( ~ (v5 = v1) & ~ (v1 = v0)))))
% 68.52/20.06 | (834) ! [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))
% 68.52/20.06 | (835) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(all_0_12_12, v2) = v3) | ~ (hAPP(all_0_12_12, v1) = v4) | ? [v7] : ? [v8] : (hAPP(v8, v0) = v6 & hAPP(v3, v1) = v7 & hAPP(all_0_12_12, v7) = v8))
% 68.52/20.06 | (836) ! [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))
% 68.52/20.06 | (837) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 68.52/20.06 | (838) ! [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)))
% 68.52/20.06 | (839) ! [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)))
% 68.52/20.06 | (840) ! [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_12_12, v2) = v3) | ~ (hAPP(all_0_12_12, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_12_12, v8) = v9))
% 68.52/20.06 | (841) ! [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))
% 68.52/20.06 | (842) ! [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))
% 68.52/20.06 | (843) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_18_18 | ~ (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))
% 68.52/20.06 | (844) ! [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)
% 68.52/20.06 | (845) ! [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))
% 68.52/20.06 | (846) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = all_0_18_18) | ? [v2] : ( ~ (v2 = all_0_18_18) & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v2))
% 68.52/20.06 | (847) ! [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_Ocoeff(v1, v0) = v5 & c_Polynomial_Odegree(v1, v0) = v6 & c_Polynomial_Osmult(v1, v8, v0) = v4 & hAPP(v5, v6) = v7))
% 68.52/20.06 | (848) ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v0)
% 68.52/20.06 | (849) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1))
% 68.52/20.06 | (850) ! [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_Polynomial_Osmult(v3, v1, v2) = v9 & c_Groups_Oplus__class_Oplus(v4, v9, v12) = v8 & c_Polynomial_OpCons(v3, v10, v11) = v12 & c_Groups_Ozero__class_Ozero(v3) = v10 & hAPP(v6, v0) = v11))
% 68.52/20.06 | (851) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))
% 68.52/20.06 | (852) ! [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)))
% 68.52/20.06 | (853) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_Osmult(v3, v1, v2) = v7) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v10) = v11) | ~ (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))
% 68.52/20.06 | (854) ! [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))
% 68.52/20.07 | (855) ! [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))))))
% 68.52/20.07 | (856) ! [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)))))
% 68.52/20.07 | (857) ! [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))
% 68.52/20.07 | (858) ? [v0] : ! [v1] : ( ~ class_Orderings_Opreorder(v1) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 68.52/20.07 | (859) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Groups_Ouminus(v1) | class_Groups_Ouminus(v2))
% 68.52/20.07 | (860) class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat)
% 68.52/20.07 | (861) ! [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)
% 68.52/20.07 | (862) ! [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))
% 68.52/20.07 | (863) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_17_17, 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_17_17, v2) = v6 & hAPP(all_0_17_17, v1) = v8))
% 68.52/20.07 | (864) ! [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))
% 68.52/20.07 | (865) ! [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))
% 68.52/20.07 | (866) ! [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)))
% 68.52/20.07 | (867) ! [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)))
% 68.52/20.07 | (868) ! [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))
% 68.52/20.07 | (869) ! [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))
% 68.52/20.07 | (870) ! [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_Ocoeff(v2, v0) = v8 & c_Polynomial_Odegree(v2, v0) = v9 & 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)))
% 68.52/20.07 | (871) ! [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)))))
% 68.52/20.07 | (872) ! [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))
% 68.52/20.07 | (873) ? [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))
% 68.52/20.07 | (874) ! [v0] : (v0 = all_0_8_8 | ~ (hAPP(all_0_7_7, all_0_8_8) = v0))
% 68.52/20.07 | (875) ! [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_18_18) | ~ (v5 = v4) | v7 = v1) & (v5 = v4 | (v8 = all_0_18_18 & ~ (v7 = v1)))))
% 68.52/20.07 | (876) ! [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_16_16) = v0)
% 68.52/20.07 | (877) ! [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))))
% 68.52/20.07 | (878) ? [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)))
% 68.52/20.07 | (879) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ (c_Polynomial_Odegree(v1, v0) = v3) | ~ (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))))
% 68.52/20.07 | (880) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Groups_Omonoid__mult(v1))
% 68.52/20.07 | (881) ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_7_7, v0) = v1))
% 68.52/20.07 | (882) ! [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))
% 68.52/20.07 | (883) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__ring(v0) | class_Rings_Oring(v1))
% 68.52/20.07 | (884) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Orderings_Oorder(v1))
% 68.52/20.07 | (885) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Oab__group__add(v0) | class_Groups_Ogroup__add(v1))
% 68.52/20.07 | (886) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v0, v1))
% 68.52/20.07 | (887) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_12_12, v0) = v1) | hAPP(v1, all_0_8_8) = v0)
% 68.52/20.07 | (888) ? [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)))
% 68.52/20.07 | (889) ! [v0] : ! [v1] : ( ~ class_Orderings_Opreorder(v1) | ~ c_Orderings_Oord__class_Oless(v1, v0, v0))
% 68.52/20.07 | (890) ! [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))
% 68.52/20.07 | (891) ! [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))
% 68.52/20.07 | (892) ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, all_0_18_18)
% 68.52/20.07 | (893) ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 68.52/20.07 | (894) ! [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))
% 68.52/20.07 | (895) class_Rings_Osemiring(tc_Nat_Onat)
% 68.52/20.07 | (896) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_18_18 | v0 = all_0_18_18 | ~ (hAPP(v2, v0) = all_0_18_18) | ~ (hAPP(all_0_17_17, v1) = v2))
% 68.52/20.07 | (897) ! [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))
% 68.52/20.07 | (898) ! [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))
% 68.52/20.07 | (899) ! [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))
% 68.52/20.07 | (900) ? [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)))
% 68.52/20.07 | (901) class_Rings_Olinordered__semiring__1(tc_Int_Oint)
% 68.52/20.07 | (902) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v1))
% 68.52/20.07 | (903) ! [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))
% 68.52/20.08 | (904) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v2, v3) = v4) | ~ class_Power_Opower(v1) | ~ class_Rings_Osemiring__0(v1))
% 68.52/20.08 | (905) ! [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))
% 68.52/20.08 | (906) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Ocomm__semiring(v1))
% 68.52/20.08 | (907) ! [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))
% 68.52/20.08 | (908) ! [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))
% 68.52/20.08 | (909) ! [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))))
% 68.52/20.08 | (910) ! [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))))
% 68.52/20.08 | (911) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly__gcd(v2, v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v2, v3) = v4) | ~ (c_Polynomial_Odegree(v2, v3) = v5) | ~ (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))))
% 68.52/20.08 | (912) ! [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))
% 68.52/20.08 | (913) ! [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))
% 68.52/20.08 | (914) class_Rings_Oring__no__zero__divisors(tc_Int_Oint)
% 68.52/20.08 | (915) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__ring__strict(v1))
% 68.52/20.08 | (916) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Fields_Ofield(v0) | class_Divides_Oring__div(v1))
% 68.52/20.08 | (917) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Polynomial_Ocoeff(v1, v0) = v3) | ~ (c_Polynomial_Ocoeff(v1, v0) = v2) | ~ class_Groups_Ozero(v1))
% 68.52/20.08 | (918) ! [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_18_18) | v8 = v1) & (v6 = v5 | (v3 = all_0_18_18 & ~ (v8 = v1)))))
% 68.52/20.08 | (919) class_Rings_Odvd(tc_Nat_Onat)
% 68.52/20.08 | (920) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Osmult(v3, v2, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v1, v0) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : (c_Polynomial_Osmult(v3, v2, v1) = v7 & c_Polynomial_Osmult(v3, v2, v0) = v8 & c_Groups_Oplus__class_Oplus(v4, v7, v8) = v6))
% 68.52/20.08 | (921) ! [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)
% 68.52/20.08 | (922) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_12_12, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v1) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v5))
% 68.52/20.08 | (923) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_12_12, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v5) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v1))
% 68.52/20.08 | (924) ! [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))
% 68.52/20.08 | (925) ! [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))))
% 68.52/20.08 | (926) ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0)
% 68.52/20.08 | (927) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 68.52/20.08 | (928) ! [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_9_9, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0))
% 68.52/20.08 | (929) ! [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_12_12, 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_9_9, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1))
% 68.52/20.08 | (930) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Omult__zero(v0))
% 68.52/20.08 | (931) ! [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))
% 68.52/20.08 | (932) ! [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)))
% 68.52/20.08 | (933) ! [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(v2, v0, v1) | c_Orderings_Oord__class_Oless(v2, v3, v4))
% 68.52/20.08 | (934) ! [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(v2, v3, v4) | c_Orderings_Oord__class_Oless(v2, v0, v1))
% 68.52/20.08 | (935) ! [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))
% 68.52/20.08 | (936) ! [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)))
% 68.52/20.08 | (937) ! [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))
% 68.52/20.08 | (938) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Rings_Oring__no__zero__divisors(v1))
% 68.52/20.08 | (939) ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0)
% 68.52/20.08 | (940) ! [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))))
% 68.52/20.08 | (941) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Ominus__class_Ominus(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_Oab__group__add(v3) | ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ominus__class_Ominus(v9, v2, v1) = v10 & c_Polynomial_Ocoeff(v3, v10) = v11 & tc_Polynomial_Opoly(v3) = v9 & hAPP(v11, v0) = v8))
% 68.52/20.08 | (942) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(v4, v2, v1) = v5) | ~ (c_Polynomial_Ocoeff(v3, v5) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ class_Groups_Oab__group__add(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Groups_Ominus__class_Ominus(v3, v9, v11) = v7 & c_Polynomial_Ocoeff(v3, v2) = v8 & c_Polynomial_Ocoeff(v3, v1) = v10 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9))
% 68.52/20.08 | (943) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(v1, v0, v0) = v2) | ~ class_Divides_Osemiring__div(v1) | c_Groups_Ozero__class_Ozero(v1) = v2)
% 68.52/20.08 | (944) ! [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))
% 68.52/20.08 | (945) ! [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_Nat_OSuc(v5) = v6 & c_Polynomial_Odegree(v2, v0) = v5 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6)))
% 68.52/20.08 | (946) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Oab__group__add(v0) | class_Groups_Ominus(v1))
% 68.52/20.08 | (947) ! [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))
% 68.52/20.08 | (948) ! [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))))
% 68.52/20.08 | (949) ! [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)))
% 68.52/20.09 | (950) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oab__semigroup__mult(v1))
% 68.52/20.09 | (951) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(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_Oab__group__add(v3) | ? [v8] : (c_Groups_Ominus__class_Ominus(v3, v2, v0) = v8 & c_Polynomial_Omonom(v3, v8, v1) = v7))
% 68.52/20.09 | (952) ! [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(tc_Nat_Onat, v2, v1) | 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))))
% 68.52/20.09 | (953) ! [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)
% 68.52/20.09 | (954) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_fequal(v3, v2) = v1) | ~ (c_fequal(v3, v2) = v0))
% 68.52/20.09 | (955) class_Rings_Oordered__cancel__semiring(tc_Int_Oint)
% 68.52/20.09 | (956) ! [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))))
% 68.52/20.09 | (957) class_Groups_Oab__semigroup__add(tc_Int_Oint)
% 68.52/20.09 | (958) ! [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))
% 68.52/20.09 | (959) ! [v0] : ! [v1] : (v1 = all_0_18_18 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, all_0_18_18, v0) = v1))
% 68.52/20.09 | (960) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v0) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6))
% 68.52/20.09 | (961) ! [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)
% 68.52/20.09 | (962) class_Groups_Ozero(tc_Nat_Onat)
% 68.52/20.09 | (963) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semiring(v1))
% 68.52/20.09 | (964) ! [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))))
% 68.52/20.09 | (965) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Oab__semigroup__mult(v0))
% 68.52/20.09 | (966) ! [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))))
% 68.52/20.09 | (967) ! [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)
% 68.52/20.09 | (968) ? [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))
% 68.52/20.09 | (969) ! [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))
% 68.52/20.09 | (970) ! [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))
% 68.52/20.09 | (971) ! [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)))
% 68.52/20.09 | (972) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_14_14, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0))
% 68.52/20.09 | (973) ! [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))
% 68.52/20.09 | (974) ! [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)
% 68.52/20.09 | (975) ! [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)
% 68.52/20.09 | (976) ! [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)
% 68.52/20.09 | (977) ! [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))
% 68.52/20.09 | (978) ! [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))
% 68.52/20.09 | (979) ! [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_18_18) = v1)
% 68.52/20.09 | (980) ! [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))
% 68.52/20.09 | (981) ! [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))
% 68.52/20.09 | (982) ! [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)))
% 68.52/20.09 | (983) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1))
% 68.52/20.09 | (984) ! [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))
% 68.52/20.09 | (985) ! [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)
% 68.52/20.09 | (986) ! [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))
% 68.52/20.09 | (987) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_18_18 | ~ (hAPP(v1, all_0_18_18) = v2) | ~ (hAPP(all_0_17_17, v0) = v1))
% 68.52/20.09 | (988) ! [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))
% 68.52/20.09 | (989) ! [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))
% 68.52/20.09 | (990) ! [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))
% 68.52/20.09 | (991) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v1, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_RealVector_Oreal__normed__algebra(v3) | ? [v8] : ? [v9] : (c_Groups_Ominus__class_Ominus(v3, v8, v9) = v7 & hAPP(v5, v1) = v8 & hAPP(v5, v0) = v9))
% 68.52/20.09 | (992) class_Groups_Ogroup__add(tc_Int_Oint)
% 68.52/20.09 | (993) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v3, v1))
% 68.52/20.09 | (994) ! [v0] : ~ (c_Nat_OSuc(v0) = all_0_18_18)
% 68.52/20.09 | (995) class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat)
% 68.52/20.09 | (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) = 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)))
% 68.52/20.09 | (997) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_16_16 | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_17_17, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v3, v1))
% 68.52/20.09 | (998) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Omonom(v3, v2, v1) = v4) | ~ (c_Polynomial_Opoly(v3, v4) = v5) | ~ (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))
% 68.52/20.09 | (999) ! [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))
% 68.52/20.09 | (1000) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Power_Opower(v1))
% 68.52/20.09 | (1001) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0))
% 68.52/20.09 | (1002) ! [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)
% 68.52/20.09 | (1003) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : (v11 = v0 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Polynomial_Odegree(v2, v10) = v11) | ~ (c_Groups_Oone__class_Oone(v2) = v5) | ~ (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))
% 68.52/20.09 | (1004) ! [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)))
% 68.52/20.10 | (1005) ! [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))
% 68.52/20.10 | (1006) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 68.52/20.10 | (1007) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v5) = v6) | ~ (hAPP(all_0_13_13, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v4) | ? [v7] : ? [v8] : (hAPP(v8, v0) = v6 & hAPP(v3, v1) = v7 & hAPP(all_0_13_13, v7) = v8))
% 68.52/20.10 | (1008) ! [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))
% 68.52/20.10 | (1009) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : (v12 = v5 | ~ (c_Polynomial_Ocoeff(v2, v10) = v11) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v5) | ~ (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))
% 68.52/20.10 | (1010) ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 68.52/20.10 | (1011) ! [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))))
% 68.52/20.10 | (1012) class_Rings_Ocomm__semiring__0(tc_Nat_Onat)
% 68.52/20.10 | (1013) ! [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))
% 68.52/20.10 | (1014) ! [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))
% 68.52/20.10 | (1015) c_Nat_OSuc(all_0_18_18) = all_0_16_16
% 68.52/20.10 | (1016) ! [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))
% 68.52/20.10 | (1017) ! [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))
% 68.52/20.10 | (1018) ! [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))
% 68.52/20.10 | (1019) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5))
% 68.52/20.10 | (1020) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v0))
% 68.52/20.10 | (1021) c_Power_Opower__class_Opower(tc_Int_Oint) = all_0_13_13
% 68.52/20.10 | (1022) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 68.52/20.10 | (1023) ! [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))
% 68.52/20.10 | (1024) class_Groups_Omonoid__add(tc_Int_Oint)
% 68.52/20.10 | (1025) ! [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)
% 68.52/20.10 | (1026) ! [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))
% 68.52/20.10 | (1027) ! [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)))
% 68.52/20.10 | (1028) ! [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))
% 68.52/20.10 | (1029) ! [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)))
% 68.52/20.10 | (1030) ! [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_18_18) | v5 = v3) & ( ~ (v5 = v3) | v6 = all_0_18_18)))
% 68.52/20.10 | (1031) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__ring__1(v0) | class_Rings_Oring__1(v1))
% 68.52/20.10 | (1032) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v2, v0))
% 68.52/20.10 | (1033) ? [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))))
% 68.52/20.10 | (1034) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Orderings_Oord(v1))
% 68.52/20.10 | (1035) ? [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Rings_Odvd__class_Odvd(v1, v2, v0))
% 68.52/20.10 | (1036) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_12_12, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, all_0_9_9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, all_0_9_9))
% 68.52/20.10 | (1037) ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v0, v1) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 68.52/20.10 | (1038) ! [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)))))
% 68.52/20.10 | (1039) ! [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))
% 68.52/20.10 | (1040) ! [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)))
% 68.52/20.10 | (1041) ! [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)))
% 68.82/20.10 | (1042) ! [v0] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | ? [v1] : c_Nat_OSuc(v1) = v0)
% 68.82/20.10 | (1043) ! [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))
% 68.82/20.10 | (1044) ! [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)
% 68.82/20.10 | (1045) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Oab__group__add(v0) | class_Groups_Ouminus(v1))
% 68.82/20.10 | (1046) ! [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))
% 68.82/20.10 | (1047) class_Groups_Ominus(tc_Nat_Onat)
% 68.82/20.10 | (1048) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0))
% 68.82/20.10 | (1049) ! [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))
% 68.82/20.10 | (1050) ! [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))
% 68.82/20.10 | (1051) ! [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))
% 68.82/20.10 | (1052) ! [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))))))
% 68.82/20.11 | (1053) ! [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)))
% 68.82/20.11 | (1054) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Opoly__gcd(v4, v3, v2) = v1) | ~ (c_Polynomial_Opoly__gcd(v4, v3, v2) = v0))
% 68.82/20.11 | (1055) ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_16_16 | ~ (hAPP(v2, v0) = all_0_16_16) | ~ (hAPP(all_0_17_17, v1) = v2))
% 68.82/20.11 | (1056) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Oordered__cancel__semiring(v1))
% 68.82/20.11 | (1057) class_Int_Oring__char__0(tc_Int_Oint)
% 68.82/20.11 | (1058) ! [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))
% 68.82/20.11 | (1059) ! [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))
% 68.82/20.11 | (1060) ! [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(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0)))
% 68.82/20.11 | (1061) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocomm__monoid__add(v0) | class_Groups_Omonoid__add(v1))
% 68.82/20.11 | (1062) ! [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))
% 68.82/20.11 | (1063) ! [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))
% 68.82/20.11 | (1064) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = all_0_9_9) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_8_8, v0) = v1))
% 68.82/20.11 | (1065) ? [v0] : (v0 = all_0_18_18 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0))
% 68.82/20.11 | (1066) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Osemiring__0(v1))
% 68.82/20.11 | (1067) ! [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))
% 68.82/20.11 | (1068) ! [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_Ocoeff(v2, v0) = v6 & c_Polynomial_Odegree(v2, v0) = v7 & 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)))
% 68.82/20.11 | (1069) ! [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_18_18) = v4)
% 68.82/20.11 | (1070) ! [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))
% 68.82/20.11 | (1071) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semiring__1(v1))
% 68.82/20.11 | (1072) ! [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_Polynomial_Opoly(v4, v3) = v10 & c_Polynomial_Osmult(v4, v2, v1) = v8 & c_Groups_Oplus__class_Oplus(v7, v3, v8) = v9 & tc_Polynomial_Opoly(v4) = v7 & hAPP(v10, v2) = v11 & ( ~ (v9 = v5) | (v11 = v0 & v6 = v1))))
% 68.82/20.11 | (1073) ! [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))))
% 68.82/20.11 | (1074) class_Rings_Olinordered__ring__strict(tc_Int_Oint)
% 68.82/20.11 | (1075) ! [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)))
% 68.82/20.11 | (1076) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Rings_Oring__1__no__zero__divisors(v1))
% 68.82/20.11 | (1077) ! [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)))))
% 68.82/20.11 | (1078) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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))
% 68.82/20.11 | (1079) ! [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)))
% 68.82/20.11 | (1080) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_0_8_8
% 68.82/20.11 | (1081) ! [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))
% 68.82/20.11 | (1082) ! [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))
% 68.82/20.11 | (1083) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__comm__semiring__strict(v1))
% 68.82/20.11 | (1084) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Ocomm__semiring__0(v1))
% 68.82/20.11 | (1085) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = all_0_18_18 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_11_11, v1) = v3) | ~ (hAPP(all_0_11_11, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v6))
% 68.82/20.11 | (1086) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v2 = all_0_18_18 | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_11_11, v1) = v3) | ~ (hAPP(all_0_11_11, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v6) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0))
% 68.82/20.11 | (1087) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Polynomial_Osmult(v3, v2, v8) = v7 & c_Groups_Oplus__class_Oplus(v4, v1, v0) = v8))
% 68.82/20.11 | (1088) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(v2) = v1) | ~ (c_Groups_Otimes__class_Otimes(v2) = v0))
% 68.82/20.11 | (1089) ! [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)
% 68.82/20.11 | (1090) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Oidom(v0) | class_Rings_Ono__zero__divisors(v1))
% 68.82/20.11 | (1091) ! [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))
% 68.82/20.11 | (1092) ! [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))
% 68.82/20.11 | (1093) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_12_12, 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))
% 68.82/20.11 | (1094) ~ (all_0_8_8 = all_0_9_9)
% 68.82/20.11 | (1095) ! [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))
% 68.82/20.11 | (1096) ! [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))
% 68.82/20.11 | (1097) class_Rings_Ocomm__semiring(tc_Int_Oint)
% 68.82/20.11 | (1098) ! [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_12_12, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, 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))))
% 68.82/20.12 | (1099) ! [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))))
% 68.82/20.12 | (1100) ! [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)))))
% 68.82/20.12 | (1101) ! [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_9_9, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v2))
% 68.82/20.12 | (1102) ! [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)
% 68.82/20.12 | (1103) ! [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))
% 68.82/20.12 | (1104) ! [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))
% 68.82/20.12 | (1105) ! [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))
% 68.82/20.12 | (1106) ! [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)
% 68.82/20.12 | (1107) class_Divides_Oring__div(tc_Int_Oint)
% 68.82/20.12 | (1108) class_Rings_Ocomm__semiring__0(tc_Int_Oint)
% 68.82/20.12 | (1109) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Oab__group__add(v0) | class_Groups_Oab__group__add(v1))
% 68.82/20.12 | (1110) ! [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)))))
% 68.82/20.12 | (1111) ! [v0] : ! [v1] : (v1 = v0 | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v0, v1))
% 68.82/20.12 | (1112) class_Groups_Ocomm__monoid__mult(tc_Nat_Onat)
% 68.82/20.12 | (1113) ! [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))
% 68.82/20.12 | (1114) ! [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))
% 68.82/20.12 | (1115) ! [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))
% 68.82/20.12 | (1116) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_8_8) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))
% 68.82/20.12 | (1117) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_8_8) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 68.82/20.12 | (1118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_9_9 | ~ (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_9_9) & c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = v4))
% 68.82/20.12 | (1119) ! [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(v2, v0, v4) | c_Orderings_Oord__class_Oless(v2, v1, v3))
% 68.82/20.12 | (1120) ! [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(v2, v1, v3) | c_Orderings_Oord__class_Oless(v2, v0, v4))
% 68.82/20.12 | (1121) ! [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))
% 68.82/20.12 | (1122) ! [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_12_12, v5) = v6) | ~ (hAPP(all_0_12_12, v2) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v8) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v1))
% 68.82/20.12 | (1123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_11_11, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v3))
% 68.82/20.12 | (1124) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, all_0_8_8)
% 68.82/20.12 | (1125) ! [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))
% 68.82/20.12 | (1126) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v4, v0, v1))
% 68.82/20.12 | (1127) ! [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)))
% 68.82/20.12 | (1128) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Groups_Ominus(v1) | class_Groups_Ominus(v2))
% 68.82/20.12 | (1129) ! [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))
% 68.82/20.12 | (1130) ! [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))
% 68.82/20.12 | (1131) class_Rings_Olinordered__ring(tc_Int_Oint)
% 68.82/20.12 | (1132) ! [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)))
% 68.82/20.12 | (1133) ! [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))
% 68.82/20.12 | (1134) class_Orderings_Olinorder(tc_Int_Oint)
% 68.82/20.12 | (1135) ! [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)
% 68.82/20.12 | (1136) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1))
% 68.82/20.12 | (1137) ! [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))
% 68.82/20.12 | (1138) ! [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))))
% 68.82/20.12 | (1139) ! [v0] : ! [v1] : (v1 = all_0_16_16 | v0 = all_0_16_16 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_16_16))
% 68.82/20.12 | (1140) ! [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))
% 68.82/20.12 | (1141) ! [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))
% 68.82/20.12 | (1142) ! [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))
% 68.82/20.12 | (1143) ! [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))))
% 68.82/20.12 | (1144) ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_18_18)
% 68.82/20.12 | (1145) ! [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)))
% 68.82/20.12 | (1146) ! [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))
% 68.82/20.13 | (1147) class_Groups_Oplus(tc_Nat_Onat)
% 68.82/20.13 | (1148) ! [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))
% 68.82/20.13 | (1149) class_Groups_Ocomm__monoid__mult(tc_Int_Oint)
% 68.82/20.13 | (1150) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : (v4 = v1 | ~ (c_Nat_OSuc(v11) = v12) | ~ (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, v12) = v13) | ~ (hAPP(v5, v9) = v10) | ~ class_Rings_Oidom(v2) | ? [v14] : (hAPP(v10, v11) = v14 & c_Rings_Odvd__class_Odvd(v3, v14, v1)))
% 68.82/20.13 | (1151) ! [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)
% 68.82/20.13 | (1152) ! [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)))
% 68.82/20.13 | (1153) ! [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))
% 68.82/20.13 | (1154) ! [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))
% 68.82/20.13 | (1155) ! [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)
% 68.82/20.13 | (1156) ! [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)))
% 68.82/20.13 | (1157) ! [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)))
% 68.82/20.13 | (1158) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Fields_Ofield__inverse__zero(v0) | c_Rings_Oinverse__class_Oinverse(v0, v1) = v1)
% 68.82/20.13 | (1159) ! [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)))
% 68.82/20.13 | (1160) ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0)
% 68.82/20.13 | (1161) ! [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_17_17, v5) = v6 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v8)))
% 68.82/20.13 | (1162) ! [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))
% 68.82/20.13 | (1163) class_Rings_Olinordered__semidom(tc_Nat_Onat)
% 68.82/20.13 | (1164) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Omonom(v3, v6, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Polynomial_Omonom(v3, v1, v0) = v8 & c_Polynomial_Osmult(v3, v2, v8) = v7))
% 68.82/20.13 | (1165) ! [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))
% 68.82/20.13 | (1166) ! [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))
% 68.82/20.13 | (1167) ! [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))))
% 68.82/20.13 | (1168) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1))
% 68.82/20.13 | (1169) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_11_11, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 68.82/20.13 | (1170) ! [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)))
% 68.82/20.13 | (1171) ! [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)))
% 68.82/20.13 | (1172) class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint)
% 68.82/20.13 | (1173) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_0_17_17
% 68.82/20.13 | (1174) ! [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))
% 68.82/20.13 | (1175) ! [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_Polynomial_Osmult(v3, v0, v7) = v8 & c_Groups_Oplus__class_Oplus(v6, v8, v9) = v5 & c_Polynomial_OpCons(v3, v2, v7) = v9 & tc_Polynomial_Opoly(v3) = v6 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v1, v0) = v7))
% 68.82/20.13 | (1176) ! [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))
% 68.82/20.13 | (1177) ? [v0] : ! [v1] : ( ~ class_Orderings_Oorder(v1) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 68.82/20.13 | (1178) ! [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))
% 68.82/20.13 | (1179) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_12_12, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v5) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v1))
% 68.82/20.13 | (1180) ! [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))
% 68.82/20.13 | (1181) ! [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))
% 68.82/20.13 | (1182) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v2) = v0) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v2) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1))
% 68.82/20.13 | (1183) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ominus__class_Ominus(v3, v2, v1) = v4) | ~ (c_Polynomial_Osmult(v3, v4, v0) = v5) | ~ class_Rings_Ocomm__ring(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Groups_Ominus__class_Ominus(v6, v7, v8) = v5 & c_Polynomial_Osmult(v3, v2, v0) = v7 & c_Polynomial_Osmult(v3, v1, v0) = v8 & tc_Polynomial_Opoly(v3) = v6))
% 68.82/20.13 | (1184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_17_17, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 68.82/20.13 | (1185) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Rings_Ocomm__semiring(v0))
% 68.82/20.13 | (1186) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (c_If(v5, v4, v3, v2) = v1) | ~ (c_If(v5, v4, v3, v2) = v0))
% 68.82/20.13 | (1187) class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat)
% 68.82/20.13 | (1188) ! [v0] : (v0 = all_0_16_16 | v0 = all_0_18_18 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_6_6))
% 68.82/20.13 | (1189) ! [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)
% 68.82/20.13 | (1190) tc_Polynomial_Opoly(t_a) = all_0_4_4
% 68.82/20.13 | (1191) ! [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))
% 68.82/20.14 | (1192) ! [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))
% 68.82/20.14 | (1193) ! [v0] : ! [v1] : (v1 = all_0_16_16 | v1 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_16_16))
% 68.82/20.14 | (1194) ! [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)))
% 68.82/20.14 | (1195) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Nat_OSuc(v0) = v6) | ~ (c_Polynomial_Ocoeff(v3, v4) = v5) | ~ (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))
% 68.82/20.14 | (1196) ! [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))
% 68.82/20.14 | (1197) ! [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))
% 68.82/20.14 | (1198) class_Groups_Ouminus(tc_HOL_Obool)
% 68.82/20.14 | (1199) ! [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))
% 68.82/20.14 | (1200) c_Groups_Ozero__class_Ozero(all_0_4_4) = all_0_3_3
% 68.82/20.14 | (1201) ! [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) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ? [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))))
% 68.82/20.14 | (1202) ! [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)))
% 68.82/20.14 | (1203) ! [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))
% 68.82/20.14 | (1204) ! [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))
% 68.82/20.14 | (1205) ! [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)
% 68.82/20.14 | (1206) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v2, v3))
% 68.82/20.14 | (1207) ! [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)))))
% 68.82/20.14 | (1208) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v0, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1))
% 68.82/20.14 | (1209) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Rings_Ocomm__ring__1(v2) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v0) | c_Rings_Odvd__class_Odvd(v2, v1, v3))
% 68.82/20.14 | (1210) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Rings_Ocomm__ring__1(v2) | ~ c_Rings_Odvd__class_Odvd(v2, v1, v3) | c_Rings_Odvd__class_Odvd(v2, v1, v0))
% 68.82/20.14 | (1211) ! [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_12_12, 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_9_9) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v3))
% 68.82/20.14 | (1212) ! [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))
% 68.82/20.14 | (1213) ? [v0] : c_Rings_Odvd__class_Odvd(tc_Nat_Onat, all_0_16_16, v0)
% 68.82/20.14 | (1214) ! [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)))))
% 68.82/20.14 | (1215) ! [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))
% 68.82/20.14 | (1216) ! [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))
% 68.82/20.14 | (1217) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocancel__comm__monoid__add(v0) | class_Groups_Ocancel__ab__semigroup__add(v1))
% 68.82/20.14 | (1218) c_Polynomial_Osmult(t_a, v_h, all_0_5_5) = all_0_2_2
% 68.82/20.14 | (1219) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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))))
% 68.82/20.14 | (1220) ! [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)))
% 68.82/20.14 | (1221) ! [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)
% 68.82/20.14 | (1222) ! [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)
% 68.82/20.14 | (1223) ! [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))
% 68.82/20.14 | (1224) ! [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))
% 68.82/20.14 | (1225) class_Rings_Ocomm__ring__1(tc_Int_Oint)
% 68.82/20.14 | (1226) ! [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))
% 68.82/20.14 | (1227) ! [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))
% 68.82/20.14 | (1228) ! [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)
% 68.82/20.14 | (1229) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Int_Oring__char__0(v1))
% 68.82/20.14 | (1230) ! [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))
% 68.82/20.14 | (1231) ! [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))
% 68.82/20.14 | (1232) ! [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))
% 68.82/20.14 | (1233) ! [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))
% 68.82/20.14 | (1234) ! [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_Polynomial_Ocoeff(v3, v1) = v9 & c_Groups_Otimes__class_Otimes(v3) = v7 & hAPP(v9, v0) = v10 & hAPP(v8, v10) = v6 & hAPP(v7, v2) = v8))
% 68.82/20.14 | (1235) ! [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))
% 68.82/20.14 | (1236) ! [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))
% 68.82/20.14 | (1237) ! [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))
% 68.82/20.14 | (1238) ~ (all_0_3_3 = all_0_5_5) | all_0_5_5 = v_p
% 68.82/20.15 | (1239) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Polynomial_Omonom(v3, v1, v0) = v4) | ~ (c_Polynomial_Osmult(v3, v2, v4) = v5) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v6] : ? [v7] : ? [v8] : (c_Polynomial_Omonom(v3, v8, v0) = v5 & c_Groups_Otimes__class_Otimes(v3) = v6 & hAPP(v7, v1) = v8 & hAPP(v6, v2) = v7))
% 68.82/20.15 | (1240) ! [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))
% 68.82/20.15 | (1241) ! [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))
% 68.82/20.15 | (1242) ! [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))
% 68.82/20.15 | (1243) ! [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))
% 68.82/20.15 | (1244) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_11_11, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v3))
% 68.82/20.15 | (1245) ! [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)))
% 68.82/20.15 | (1246) ! [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))
% 68.82/20.15 | (1247) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, all_0_9_9)
% 68.82/20.15 | (1248) class_Orderings_Oord(tc_HOL_Obool)
% 68.82/20.15 | (1249) ! [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))
% 68.82/20.15 | (1250) ! [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)))
% 68.82/20.15 | (1251) ? [v0] : ? [v1] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1))
% 68.82/20.15 | (1252) ! [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))
% 68.82/20.15 | (1253) ! [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)))
% 68.82/20.15 | (1254) ! [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))
% 68.82/20.15 | (1255) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v2))
% 68.82/20.15 | (1256) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__ring(v1))
% 68.82/20.15 | (1257) ! [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_17_17, v2) = v3) | ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v7 & hAPP(v3, v7) = v6))
% 68.82/20.15 | (1258) ! [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))))
% 68.82/20.15 | (1259) ! [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))))
% 68.82/20.15 | (1260) ! [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)))))
% 68.82/20.15 | (1261) ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 68.82/20.15 | (1262) class_Rings_Ocomm__semiring(tc_Nat_Onat)
% 68.82/20.15 | (1263) ! [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))
% 68.82/20.15 | (1264) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_9_9, v0) = v1))
% 68.82/20.15 | (1265) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v0, v1))
% 68.82/20.15 | (1266) ! [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)))
% 68.82/20.15 | (1267) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly(v3, v4) = v5) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v2, v1) = v4) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : (c_Polynomial_Opoly(v3, v2) = v7 & c_Groups_Oplus__class_Oplus(v3, v1, v0) = v8 & hAPP(v7, v8) = v6))
% 68.82/20.15 | (1268) ! [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))))
% 68.82/20.15 | (1269) ! [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))
% 68.82/20.15 | (1270) ! [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))
% 68.82/20.15 | (1271) ! [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))
% 68.82/20.15 | (1272) ! [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(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | 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)))
% 68.82/20.15 | (1273) ! [v0] : ! [v1] : (v1 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_18_18))
% 68.82/20.15 | (1274) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = all_0_18_18 | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_13_13, v2) = v3) | ~ (hAPP(all_0_13_13, v0) = v5) | ~ c_Rings_Odvd__class_Odvd(tc_Int_Oint, v4, v6) | c_Rings_Odvd__class_Odvd(tc_Int_Oint, v2, v0))
% 68.82/20.15 | (1275) ! [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))
% 68.82/20.15 | (1276) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Oinverse(v2, v1) = v4) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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))
% 68.82/20.15 | (1277) ! [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))
% 68.82/20.15 | (1278) ! [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)))
% 68.82/20.15 | (1279) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ? [v6] : ? [v7] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v6, v7) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v7))
% 68.82/20.15 | (1280) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = all_0_18_18 | v1 = v0 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_17_17, v2) = v3))
% 68.82/20.15 | (1281) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = all_0_18_18 | ~ (c_Polynomial_Odegree(v0, v2) = v3) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0))
% 68.82/20.15 | (1282) ! [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))))
% 68.82/20.15 | (1283) ! [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)))
% 68.82/20.15 | (1284) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Orderings_Opreorder(v1))
% 68.82/20.15 | (1285) ! [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_Polynomial_Opcompose(v3, v1, v0) = v11 & c_Groups_Otimes__class_Otimes(v6) = v9 & c_Groups_Oplus__class_Oplus(v6, v8, v12) = v5 & 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))
% 68.82/20.16 | (1286) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v4, v1) = v5) | ~ (tc_fun(v2, v3) = v4) | ~ (hAPP(v5, v0) = v6) | ~ class_Groups_Ouminus(v3) | ? [v7] : (c_Groups_Ouminus__class_Ouminus(v3, v7) = v6 & hAPP(v1, v0) = v7))
% 68.82/20.16 | (1287) ! [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))
% 68.82/20.16 | (1288) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v2 = v0 | ~ (c_Nat_OSuc(v1) = v6) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (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))))
% 68.82/20.16 | (1289) ! [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))
% 68.82/20.16 | (1290) ! [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))
% 68.82/20.16 | (1291) ! [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_17_17, v2) = v3) | ? [v7] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v1, v0) = v7 & hAPP(v3, v7) = v6))
% 68.82/20.16 | (1292) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Oord(v1) | class_Orderings_Oord(v2))
% 68.82/20.16 | (1293) ! [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))
% 68.82/20.16 | (1294) ! [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_6_6) = v7 & hAPP(v4, all_0_6_6) = v6 & ( ~ (v7 = v6) | v8 = v1 | v1 = v0) & (v7 = v6 | ( ~ (v8 = v1) & ~ (v1 = v0)))))
% 68.82/20.16 | (1295) ! [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))
% 68.82/20.16 | (1296) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_12_12, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_12_12, v1) = v4))
% 68.82/20.16 | (1297) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Ocoeff(v3, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v1) = v5) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ class_Groups_Ocomm__monoid__add(v3) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : (c_Polynomial_Ocoeff(v3, v2) = v8 & c_Polynomial_Ocoeff(v3, v1) = v10 & c_Groups_Oplus__class_Oplus(v3, v9, v11) = v7 & hAPP(v10, v0) = v11 & hAPP(v8, v0) = v9))
% 68.82/20.16 | (1298) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Olinordered__semiring__1__strict(v1))
% 68.82/20.16 | (1299) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_8_8) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 68.82/20.16 | (1300) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0))
% 68.82/20.16 | (1301) ! [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))))
% 68.82/20.16 | (1302) ! [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))
% 68.82/20.16 | (1303) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Rings_Odvd(v1))
% 68.82/20.16 | (1304) ! [v0] : ! [v1] : (v1 = all_0_9_9 | ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, all_0_9_9, v0) = v1))
% 68.82/20.16 | (1305) ! [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)))
% 68.82/20.16 | (1306) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ? [v4] : (c_Nat_OSuc(v0) = v4 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v4) = v3))
% 68.82/20.16 | (1307) ! [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)))))
% 68.82/20.16 | (1308) ! [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)))
% 68.82/20.16 | (1309) ! [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))
% 68.82/20.16 | (1310) ! [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))))
% 68.82/20.16 | (1311) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Polynomial_Osmult(v3, v2, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v5, v6) = v7) | ~ (c_Polynomial_OpCons(v3, v0, v1) = v6) | ~ (tc_Polynomial_Opoly(v3) = v4) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v8] : (c_Groups_Ozero__class_Ozero(v4) = v8 & ( ~ (v8 = v7) | v7 = v1)))
% 68.82/20.16 | (1312) ! [v0] : ! [v1] : (v1 = all_0_18_18 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v0) = v1))
% 68.82/20.16 | (1313) ! [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))
% 68.82/20.16 | (1314) ? [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))))
% 68.82/20.16 | (1315) ! [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)))
% 68.82/20.16 | (1316) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ? [v7] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = v7 & hAPP(v3, v7) = v6))
% 68.82/20.16 | (1317) ! [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)))
% 68.82/20.16 | (1318) ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1))
% 68.82/20.16 | (1319) ! [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))
% 68.82/20.16 | (1320) c_Rings_Odvd__class_Odvd(tc_Nat_Onat, all_0_16_16, all_0_16_16)
% 68.82/20.16 | (1321) ! [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)))
% 68.82/20.16 | (1322) ! [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))
% 68.82/20.16 | (1323) class_Orderings_Oorder(tc_Nat_Onat)
% 68.82/20.16 | (1324) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, v0) = v3) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, all_0_16_16) = v2) | ? [v4] : (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v4) = v3 & c_Nat_OSuc(v0) = v4))
% 68.82/20.16 | (1325) ! [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)))
% 68.82/20.16 | (1326) ! [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_18_18) & (v6 = v4 | v5 = v1)))
% 68.82/20.17 | (1327) ! [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))
% 68.82/20.17 | (1328) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v5 | ~ (c_Polynomial_OpCons(v2, v1, v4) = v5) | ~ (tc_Polynomial_Opoly(v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v3) = v4) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v2, v5, v0) = v6) | ~ class_Rings_Ocomm__semiring__0(v2))
% 68.82/20.17 | (1329) ! [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))
% 68.82/20.17 | (1330) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Polynomial_Omonom(v4, v3, v2) = v1) | ~ (c_Polynomial_Omonom(v4, v3, v2) = v0))
% 68.82/20.17 | (1331) ! [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))
% 68.82/20.17 | (1332) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_17_17, v3) = v4))
% 68.82/20.17 | (1333) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_12_12, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_9_9, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_8_8))
% 68.82/20.17 | (1334) ! [v0] : ! [v1] : (v0 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_18_18))
% 68.82/20.17 | (1335) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__ab__semigroup__add__imp__le(v1))
% 68.82/20.17 | (1336) ! [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))))
% 68.82/20.17 | (1337) ! [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))
% 68.82/20.17 | (1338) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_0_17_17, v3) = v4) | ~ (hAPP(all_0_17_17, 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))
% 68.82/20.17 | (1339) ! [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)
% 68.82/20.17 | (1340) ! [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)))
% 68.82/20.17 | (1341) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Ozero(v0))
% 68.82/20.17 | (1342) ! [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))
% 68.82/20.17 | (1343) ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Oorder(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1))
% 68.82/20.17 | (1344) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Ocomm__semiring__1(v0) | class_Groups_Ocomm__monoid__mult(v1))
% 68.82/20.17 | (1345) ! [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))
% 68.82/20.17 | (1346) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Rings_Oordered__ring(v1))
% 68.82/20.17 | (1347) ! [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))
% 68.82/20.17 | (1348) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocomm__monoid__add(v0) | class_Groups_Oplus(v1))
% 68.82/20.17 | (1349) ! [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))))
% 68.82/20.17 | (1350) c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, v_p, v_h) = all_0_5_5
% 68.82/20.17 | (1351) ! [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))
% 68.82/20.17 | (1352) ! [v0] : ! [v1] : ( ~ (c_Divides_Odiv__class_Omod(tc_Int_Oint, v1, v0) = all_0_9_9) | ? [v2] : ? [v3] : (hAPP(v2, v3) = v1 & hAPP(all_0_12_12, v0) = v2))
% 68.82/20.17 | (1353) class_Orderings_Oord(tc_Nat_Onat)
% 68.82/20.17 | (1354) ! [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))
% 68.82/20.17 | (1355) ! [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))))
% 68.82/20.17 | (1356) ! [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))
% 68.82/20.17 | (1357) ! [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)))
% 68.82/20.17 | (1358) ! [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))))
% 68.82/20.17 | (1359) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ? [v6] : ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v6, v7) = v5 & hAPP(v3, v1) = v6 & hAPP(v3, v0) = v7))
% 68.82/20.17 | (1360) ! [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))))
% 68.82/20.17 | (1361) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Groups_Ocomm__monoid__add(v0) | class_Groups_Ocomm__monoid__add(v1))
% 68.82/20.17 | (1362) ! [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_Polynomial_Osynthetic__div(v2, v0, v1) = v11) | ~ (c_Polynomial_Opoly(v2, v0) = v13) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v12, v15) = v16) | ~ (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))
% 68.82/20.17 | (1363) ! [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))
% 68.82/20.17 | (1364) ! [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_17_17, v1) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10))
% 68.82/20.17 | (1365) ! [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))
% 68.82/20.17 | (1366) ! [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)))
% 68.82/20.17 | (1367) ! [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))
% 68.82/20.17 | (1368) ! [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_18_18, v1) | ~ class_Rings_Ocomm__semiring__1(v2) | c_Rings_Odvd__class_Odvd(v2, v0, v5))
% 68.82/20.17 | (1369) class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat)
% 68.82/20.17 | (1370) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v6, v1) = v7) | ~ (c_Nat_OSuc(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ? [v8] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v8, v1) = v7 & c_Nat_OSuc(v0) = v8))
% 68.82/20.17 | (1371) class_Rings_Osemiring__0(tc_Int_Oint)
% 68.82/20.17 | (1372) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Opoly(v3, v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ class_Rings_Ocomm__semiring__0(v3) | ? [v7] : ? [v8] : (c_Polynomial_Opoly(v3, v7) = v8 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(v3, v2, v1) = v7 & hAPP(v8, v0) = v6))
% 68.82/20.18 | (1373) hAPP(all_0_11_11, all_0_16_16) = all_0_10_10
% 68.82/20.18 | (1374) c_Polynomial_OpCons(t_a, v_a, all_0_5_5) = all_0_1_1
% 68.82/20.18 | (1375) ! [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)))
% 68.82/20.18 | (1376) ? [v0] : ? [v1] : (v1 = v0 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))
% 68.82/20.18 | (1377) class_Groups_Ocomm__monoid__add(tc_Int_Oint)
% 68.82/20.18 | (1378) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_11_11, 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_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 68.82/20.18 | (1379) ! [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)))
% 68.82/20.18 | (1380) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0))
% 68.82/20.18 | (1381) ! [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)))
% 68.82/20.18 | (1382) ! [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))))
% 68.82/20.18 | (1383) ! [v0] : ( ~ class_Rings_Ocomm__semiring__0(v0) | class_Groups_Omonoid__add(v0))
% 68.82/20.18 | (1384) ! [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))))
% 68.82/20.18 | (1385) ! [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))
% 68.82/20.18 | (1386) ! [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))
% 68.82/20.18 | (1387) c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_18_18, all_0_18_18)
% 68.82/20.18 | (1388) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v1, v0) = all_0_18_18) | ? [v2] : ( ~ (v2 = all_0_18_18) & c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v0, v1) = v2))
% 68.82/20.18 | (1389) class_Rings_Ozero__neq__one(tc_Nat_Onat)
% 68.82/20.18 | (1390) ! [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)))
% 68.82/20.18 | (1391) ! [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)))
% 68.82/20.18 | (1392) ! [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))
% 68.82/20.18 | (1393) class_Divides_Osemiring__div(tc_Nat_Onat)
% 68.82/20.18 | (1394) ! [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))))
% 68.82/20.18 | (1395) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = v1) | ~ (c_Groups_Ozero__class_Ozero(v2) = v0))
% 68.82/20.18 | (1396) c_Groups_Ozero__class_Ozero(t_a) = all_0_0_0
% 68.82/20.18 | (1397) ! [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))
% 68.82/20.18 | (1398) ! [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))
% 68.82/20.18 | (1399) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Odegree(v3, v2) = v1) | ~ (c_Polynomial_Odegree(v3, v2) = v0))
% 68.82/20.18 | (1400) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Polynomial_Osmult(v3, v2, v0) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v6, v10) = v11) | ~ (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))
% 68.82/20.18 | (1401) ? [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)))))
% 68.82/20.18 | (1402) ! [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_17_17, v8) = v9 & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v7, v10)))
% 68.82/20.18 | (1403) class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint)
% 68.82/20.18 | (1404) ! [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))
% 68.82/20.18 | (1405) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_12_12, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_9_9, v3))
% 68.82/20.18 | (1406) ! [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)))
% 68.82/20.18 | (1407) ! [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))
% 68.82/20.18 | (1408) ! [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))
% 68.82/20.18 | (1409) ! [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_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v5) | ? [v8] : ? [v9] : (c_Divides_Odiv__class_Omod(tc_Nat_Onat, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_17_17, v8) = v9))
% 68.82/20.18 | (1410) ! [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))
% 68.82/20.18 | (1411) ! [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))
% 68.82/20.18 | (1412) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v2] : ? [v3] : (c_Nat_OSuc(v3) = v0 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v3))
% 68.82/20.18 | (1413) ! [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))
% 68.82/20.18 | (1414) ! [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))
% 68.82/20.18 | (1415) ! [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))
% 68.82/20.18 | (1416) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_0_16_16
% 68.82/20.18 | (1417) ! [v0] : ! [v1] : ( ~ (tc_Polynomial_Opoly(v0) = v1) | ~ class_Rings_Olinordered__idom(v0) | class_Groups_Oordered__comm__monoid__add(v1))
% 68.82/20.19 | (1418) ! [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))
% 68.82/20.19 | (1419) class_Rings_Omult__zero(tc_Int_Oint)
% 68.82/20.19 | (1420) ! [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))
% 68.82/20.19 | (1421) ! [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))
% 68.82/20.19 | (1422) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_16_16 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v1) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v3, v1))
% 68.82/20.19 | (1423) ! [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))
% 68.82/20.19 | (1424) ! [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))
% 68.82/20.19 | (1425) ! [v0] : ! [v1] : (v0 = all_0_18_18 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v1))
% 68.82/20.19 | (1426) ! [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))
% 68.82/20.19 | (1427) ! [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)))
% 68.82/20.19 | (1428) ? [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))
% 68.82/20.19 | (1429) class_Rings_Olinordered__semiring(tc_Nat_Onat)
% 68.82/20.19 | (1430) ! [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))))))
% 68.82/20.19 | (1431) ! [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)
% 68.82/20.19 | (1432) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | c_Orderings_Oord__class_Oless(v3, v0, v1))
% 68.82/20.19 | (1433) ! [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))
% 68.82/20.19 | (1434) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ (hAPP(all_0_17_17, v1) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6))
% 68.82/20.19 | (1435) ! [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))))
% 68.82/20.19 | (1436) ! [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))
% 68.82/20.19 | (1437) class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint)
% 68.82/20.19 | (1438) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Polynomial_Osynthetic__div(v2, v1, v0) = v4) | ~ (c_Polynomial_Osmult(v2, v0, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v5) = v6) | ~ (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))
% 68.82/20.19 | (1439) ! [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))))
% 68.82/20.19 | (1440) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Polynomial_Omonom(v2, v1, v0) = v3) | ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ class_Groups_Ozero(v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v0))
% 68.82/20.19 | (1441) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Polynomial_Opoly(v3, v7) = v8) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (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_Polynomial_Opoly(v3, v2) = v11 & c_Polynomial_Opoly(v3, v1) = v14 & c_Groups_Otimes__class_Otimes(v3) = v10 & hAPP(v14, v0) = v15 & hAPP(v13, v15) = v9 & hAPP(v11, v0) = v12 & hAPP(v10, v12) = v13))
% 68.82/20.19 | (1442) ! [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))
% 68.82/20.19 | (1443) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v3) | ? [v4] : (c_Nat_OSuc(v4) = v3 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v4))
% 68.82/20.19 | (1444) ! [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))
% 68.82/20.19 | (1445) ! [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))
% 68.82/20.19 | (1446) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_17_17, v4) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_17_17, v1) = v7))
% 68.82/20.19 | (1447) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v0 | ~ (c_Polynomial_Omonom(v2, v1, v0) = v3) | ~ (c_Polynomial_Odegree(v2, v3) = v4) | ~ class_Groups_Ozero(v2) | c_Groups_Ozero__class_Ozero(v2) = v1)
% 69.18/20.19 | (1448) ! [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))
% 69.18/20.19 | (1449) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v3, v1) = v4) | ~ (c_Groups_Ominus__class_Ominus(tc_Nat_Onat, v2, 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))
% 69.18/20.19 | (1450) ! [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))
% 69.18/20.19 | (1451) ! [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))
% 69.18/20.19 | (1452) ! [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))))
% 69.18/20.19 | (1453) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0))
% 69.18/20.19 | (1454) ! [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))
% 69.18/20.19 | (1455) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v2 | ~ (c_Polynomial_Opoly__gcd(v3, v1, v0) = v7) | ~ (c_Polynomial_Ocoeff(v3, v2) = v4) | ~ (c_Polynomial_Odegree(v3, v2) = v5) | ~ (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)))))
% 69.18/20.19 | (1456) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 69.18/20.19 | (1457) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Polynomial_Omonom(v4, v7, v8) = v9) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v0) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ class_Rings_Ocomm__semiring__0(v4) | ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Polynomial_Omonom(v4, v3, v2) = v12 & c_Polynomial_Omonom(v4, v1, v0) = v14 & c_Groups_Otimes__class_Otimes(v10) = v11 & tc_Polynomial_Opoly(v4) = v10 & hAPP(v13, v14) = v9 & hAPP(v11, v12) = v13))
% 69.18/20.19 | (1458) ! [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))
% 69.18/20.19 | (1459) ! [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)))
% 69.18/20.19 | (1460) ! [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))
% 69.18/20.20 | (1461) class_Rings_Oordered__semiring(tc_Int_Oint)
% 69.18/20.20 | (1462) ! [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))
% 69.18/20.20 | (1463) ! [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))
% 69.18/20.20 | (1464) ! [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) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_18_18, v0) | ? [v6] : (c_Groups_Oone__class_Oone(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 69.18/20.20 | (1465) ! [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)
% 69.18/20.20 | (1466) ! [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))))
% 69.18/20.20 | (1467) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Polynomial_Ocoeff(v2, v1) = v3) | ~ (c_Polynomial_Ocoeff(v2, v0) = v3) | ~ class_Groups_Ozero(v2))
% 69.18/20.20 | (1468) ! [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))
% 69.18/20.20 | (1469) ! [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))
% 69.18/20.20 | (1470) ! [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))
% 69.18/20.20 | (1471) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (hAPP(v4, all_0_18_18) = v5) | ~ (hAPP(v2, all_0_18_18) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ (hAPP(all_0_17_17, v0) = v4))
% 69.18/20.20 | (1472) ! [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)))
% 69.18/20.20 | (1473) ! [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_Omonom(v3, v2, v1) = v10 & c_Polynomial_Opoly(v3, v10) = v11 & hAPP(v11, v0) = v9))
% 69.18/20.20 | (1474) class_Rings_Olinordered__semidom(tc_Int_Oint)
% 69.18/20.20 | (1475) ! [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)))
% 69.18/20.20 | (1476) ! [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)))
% 69.18/20.20 | (1477) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Nat_OSuc(v0) = v2) | ~ (c_Nat_OSuc(v0) = v1))
% 69.18/20.20 | (1478) ! [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))
% 69.18/20.20 | (1479) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v3) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ? [v5] : (c_Nat_OSuc(v0) = v5 & hAPP(v2, v5) = v4))
% 69.18/20.20 | (1480) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_17_17, v2) = v3) | ~ c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v1, v0) | c_Rings_Odvd__class_Odvd(tc_Nat_Onat, v4, v5))
% 69.18/20.20 | (1481) class_Groups_Oab__semigroup__mult(tc_Int_Oint)
% 69.18/20.20 | (1482) ! [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))
% 69.18/20.20 | (1483) ! [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)))
% 69.18/20.20 | (1484) ! [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))
% 69.18/20.20 | (1485) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_17_17, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_16_16, v3))
% 69.18/20.20 | (1486) ! [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_9_9) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, all_0_9_9))
% 69.18/20.20 | (1487) ! [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)
% 69.18/20.20 |
% 69.18/20.20 | Instantiating formula (67) with all_0_3_3, all_0_1_1, all_0_2_2, all_0_5_5, all_0_4_4, t_a, v_a, v_p, v_h and discharging atoms c_Polynomial_Osmult(t_a, v_h, all_0_5_5) = all_0_2_2, c_Groups_Oplus__class_Oplus(all_0_4_4, all_0_2_2, all_0_1_1) = all_0_3_3, c_Polynomial_OpCons(t_a, v_a, all_0_5_5) = all_0_1_1, tc_Polynomial_Opoly(t_a) = all_0_4_4, c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, v_p, v_h) = all_0_5_5, class_Rings_Ocomm__semiring__0(t_a), yields:
% 69.18/20.20 | (1488) ? [v0] : (c_Polynomial_OpCons(t_a, v_a, v_p) = v0 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, v0, v_h) = all_0_3_3)
% 69.18/20.20 |
% 69.18/20.20 | Instantiating formula (1311) with all_0_3_3, all_0_1_1, all_0_2_2, all_0_4_4, t_a, v_h, all_0_5_5, v_a and discharging atoms c_Polynomial_Osmult(t_a, v_h, all_0_5_5) = all_0_2_2, c_Groups_Oplus__class_Oplus(all_0_4_4, all_0_2_2, all_0_1_1) = all_0_3_3, c_Polynomial_OpCons(t_a, v_a, all_0_5_5) = all_0_1_1, tc_Polynomial_Opoly(t_a) = all_0_4_4, class_Rings_Ocomm__semiring__0(t_a), yields:
% 69.18/20.20 | (1489) ? [v0] : (c_Groups_Ozero__class_Ozero(all_0_4_4) = v0 & ( ~ (v0 = all_0_3_3) | all_0_3_3 = all_0_5_5))
% 69.18/20.20 |
% 69.18/20.20 | Instantiating formula (1341) with t_a and discharging atoms class_Rings_Ocomm__semiring__0(t_a), yields:
% 69.18/20.20 | (1490) class_Groups_Ozero(t_a)
% 69.18/20.20 |
% 69.18/20.20 | Instantiating formula (61) with t_a and discharging atoms class_Rings_Ocomm__semiring__0(t_a), yields:
% 69.18/20.20 | (1491) class_Groups_Ocomm__monoid__add(t_a)
% 69.18/20.20 |
% 69.18/20.20 | Instantiating (1489) with all_135_0_122 yields:
% 69.18/20.20 | (1492) c_Groups_Ozero__class_Ozero(all_0_4_4) = all_135_0_122 & ( ~ (all_135_0_122 = all_0_3_3) | all_0_3_3 = all_0_5_5)
% 69.18/20.20 |
% 69.18/20.20 | Applying alpha-rule on (1492) yields:
% 69.18/20.20 | (1493) c_Groups_Ozero__class_Ozero(all_0_4_4) = all_135_0_122
% 69.18/20.20 | (1494) ~ (all_135_0_122 = all_0_3_3) | all_0_3_3 = all_0_5_5
% 69.18/20.20 |
% 69.18/20.20 | Instantiating (1488) with all_137_0_123 yields:
% 69.18/20.20 | (1495) c_Polynomial_OpCons(t_a, v_a, v_p) = all_137_0_123 & c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, all_137_0_123, v_h) = all_0_3_3
% 69.18/20.20 |
% 69.18/20.20 | Applying alpha-rule on (1495) yields:
% 69.18/20.20 | (1496) c_Polynomial_OpCons(t_a, v_a, v_p) = all_137_0_123
% 69.18/20.20 | (1497) c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, all_137_0_123, v_h) = all_0_3_3
% 69.18/20.20 |
% 69.18/20.20 | Instantiating formula (1395) with all_0_4_4, all_135_0_122, all_0_3_3 and discharging atoms c_Groups_Ozero__class_Ozero(all_0_4_4) = all_135_0_122, c_Groups_Ozero__class_Ozero(all_0_4_4) = all_0_3_3, yields:
% 69.18/20.20 | (1498) all_135_0_122 = all_0_3_3
% 69.18/20.20 |
% 69.18/20.20 | From (1498) and (1493) follows:
% 69.18/20.20 | (1200) c_Groups_Ozero__class_Ozero(all_0_4_4) = all_0_3_3
% 69.18/20.20 |
% 69.18/20.21 +-Applying beta-rule and splitting (1494), into two cases.
% 69.18/20.21 |-Branch one:
% 69.18/20.21 | (1500) ~ (all_135_0_122 = all_0_3_3)
% 69.18/20.21 |
% 69.18/20.21 | Equations (1498) can reduce 1500 to:
% 69.18/20.21 | (1501) $false
% 69.18/20.21 |
% 69.18/20.21 |-The branch is then unsatisfiable
% 69.18/20.21 |-Branch two:
% 69.18/20.21 | (1498) all_135_0_122 = all_0_3_3
% 69.18/20.21 | (1503) all_0_3_3 = all_0_5_5
% 69.18/20.21 |
% 69.18/20.21 | From (1503) and (98) follows:
% 69.18/20.21 | (1504) c_Groups_Oplus__class_Oplus(all_0_4_4, all_0_2_2, all_0_1_1) = all_0_5_5
% 69.18/20.21 |
% 69.18/20.21 | From (1503) and (1200) follows:
% 69.18/20.21 | (1505) c_Groups_Ozero__class_Ozero(all_0_4_4) = all_0_5_5
% 69.18/20.21 |
% 69.18/20.21 | From (1503) and (1497) follows:
% 69.18/20.21 | (1506) c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, all_137_0_123, v_h) = all_0_5_5
% 69.18/20.21 |
% 69.18/20.21 +-Applying beta-rule and splitting (1238), into two cases.
% 69.18/20.21 |-Branch one:
% 69.18/20.21 | (1507) ~ (all_0_3_3 = all_0_5_5)
% 69.18/20.21 |
% 69.18/20.21 | Equations (1503) can reduce 1507 to:
% 69.18/20.21 | (1501) $false
% 69.18/20.21 |
% 69.18/20.21 |-The branch is then unsatisfiable
% 69.18/20.21 |-Branch two:
% 69.18/20.21 | (1503) all_0_3_3 = all_0_5_5
% 69.18/20.21 | (1510) all_0_5_5 = v_p
% 69.18/20.21 |
% 69.18/20.21 | Combining equations (1510,1503) yields a new equation:
% 69.18/20.21 | (1511) all_0_3_3 = v_p
% 69.18/20.21 |
% 69.18/20.21 | From (1510) and (1218) follows:
% 69.18/20.21 | (1512) c_Polynomial_Osmult(t_a, v_h, v_p) = all_0_2_2
% 69.18/20.21 |
% 69.18/20.21 | From (1510) and (1504) follows:
% 69.18/20.21 | (1513) c_Groups_Oplus__class_Oplus(all_0_4_4, all_0_2_2, all_0_1_1) = v_p
% 69.18/20.21 |
% 69.18/20.21 | From (1510) and (1374) follows:
% 69.18/20.21 | (1514) c_Polynomial_OpCons(t_a, v_a, v_p) = all_0_1_1
% 69.18/20.21 |
% 69.18/20.21 | From (1510) and (1505) follows:
% 69.18/20.21 | (1515) c_Groups_Ozero__class_Ozero(all_0_4_4) = v_p
% 69.18/20.21 |
% 69.18/20.21 | From (1510) and (1506) follows:
% 69.18/20.21 | (1516) c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, all_137_0_123, v_h) = v_p
% 69.18/20.21 |
% 69.18/20.21 +-Applying beta-rule and splitting (124), into two cases.
% 69.18/20.21 |-Branch one:
% 69.18/20.21 | (1517) ~ (all_0_0_0 = v_a)
% 69.18/20.21 |
% 69.18/20.21 | Instantiating formula (774) with t_a, v_a, v_p, all_0_1_1, all_137_0_123 and discharging atoms c_Polynomial_OpCons(t_a, v_a, v_p) = all_137_0_123, c_Polynomial_OpCons(t_a, v_a, v_p) = all_0_1_1, yields:
% 69.18/20.21 | (1518) all_137_0_123 = all_0_1_1
% 69.18/20.21 |
% 69.18/20.21 | Instantiating formula (33) with all_0_2_2, v_p, all_0_4_4, t_a, v_h and discharging atoms c_Polynomial_Osmult(t_a, v_h, v_p) = all_0_2_2, tc_Polynomial_Opoly(t_a) = all_0_4_4, c_Groups_Ozero__class_Ozero(all_0_4_4) = v_p, class_Rings_Ocomm__semiring__0(t_a), yields:
% 69.18/20.21 | (1519) all_0_2_2 = v_p
% 69.18/20.21 |
% 69.18/20.21 | Instantiating formula (1328) with v_p, all_137_0_123, v_p, all_0_4_4, t_a, v_a, v_h and discharging atoms c_Polynomial_OpCons(t_a, v_a, v_p) = all_137_0_123, tc_Polynomial_Opoly(t_a) = all_0_4_4, c_Groups_Ozero__class_Ozero(all_0_4_4) = v_p, c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(t_a, all_137_0_123, v_h) = v_p, class_Rings_Ocomm__semiring__0(t_a), yields:
% 69.18/20.21 | (1520) all_137_0_123 = v_p
% 69.18/20.21 |
% 69.18/20.21 | Combining equations (1518,1520) yields a new equation:
% 69.18/20.21 | (1521) all_0_1_1 = v_p
% 69.18/20.21 |
% 69.18/20.21 | Simplifying 1521 yields:
% 69.18/20.21 | (1522) all_0_1_1 = v_p
% 69.18/20.21 |
% 69.18/20.21 | From (1519) and (1512) follows:
% 69.18/20.21 | (1523) c_Polynomial_Osmult(t_a, v_h, v_p) = v_p
% 69.18/20.21 |
% 69.18/20.21 | From (1519)(1522) and (1513) follows:
% 69.18/20.21 | (1524) c_Groups_Oplus__class_Oplus(all_0_4_4, v_p, v_p) = v_p
% 69.18/20.21 |
% 69.18/20.21 | From (1522) and (1514) follows:
% 69.18/20.21 | (1525) c_Polynomial_OpCons(t_a, v_a, v_p) = v_p
% 69.18/20.21 |
% 69.18/20.21 | Instantiating formula (980) with v_p, v_p, t_a, v_h, v_a, v_p and discharging atoms c_Polynomial_Osmult(t_a, v_h, v_p) = v_p, c_Polynomial_OpCons(t_a, v_a, v_p) = v_p, class_Rings_Ocomm__semiring__0(t_a), yields:
% 69.18/20.21 | (1526) ? [v0] : ? [v1] : ? [v2] : ? [v3] : (c_Groups_Otimes__class_Otimes(t_a) = v0 & c_Polynomial_Osmult(t_a, v_h, v_p) = v3 & c_Polynomial_OpCons(t_a, v2, v3) = v_p & hAPP(v1, v_a) = v2 & hAPP(v0, v_h) = v1)
% 69.18/20.21 |
% 69.18/20.21 | Instantiating formula (719) with v_p, t_a, v_a, v_p and discharging atoms c_Polynomial_OpCons(t_a, v_a, v_p) = v_p, class_Groups_Ozero(t_a), yields:
% 69.18/20.21 | (1527) ? [v0] : ? [v1] : ? [v2] : (tc_Polynomial_Opoly(t_a) = v0 & c_Groups_Ozero__class_Ozero(v0) = v1 & c_Groups_Ozero__class_Ozero(t_a) = v2 & ( ~ (v1 = v_p) | v2 = v_a))
% 69.18/20.21 |
% 69.18/20.21 | Instantiating formula (465) with all_0_4_4, t_a and discharging atoms tc_Polynomial_Opoly(t_a) = all_0_4_4, class_Groups_Ozero(t_a), yields:
% 69.18/20.21 | (1528) ? [v0] : ? [v1] : (c_Polynomial_OpCons(t_a, v0, v1) = v1 & c_Groups_Ozero__class_Ozero(all_0_4_4) = v1 & c_Groups_Ozero__class_Ozero(t_a) = v0)
% 69.18/20.21 |
% 69.18/20.21 | Instantiating formula (808) with v_p, v_p, v_p, all_0_4_4, t_a, v_a, v_p, v_a, v_p and discharging atoms c_Groups_Oplus__class_Oplus(all_0_4_4, v_p, v_p) = v_p, c_Polynomial_OpCons(t_a, v_a, v_p) = v_p, tc_Polynomial_Opoly(t_a) = all_0_4_4, class_Groups_Ocomm__monoid__add(t_a), yields:
% 69.18/20.21 | (1529) ? [v0] : ? [v1] : (c_Groups_Oplus__class_Oplus(all_0_4_4, v_p, v_p) = v1 & c_Groups_Oplus__class_Oplus(t_a, v_a, v_a) = v0 & c_Polynomial_OpCons(t_a, v0, v1) = v_p)
% 69.18/20.21 |
% 69.18/20.21 | Instantiating (1529) with all_225_0_171, all_225_1_172 yields:
% 69.18/20.21 | (1530) c_Groups_Oplus__class_Oplus(all_0_4_4, v_p, v_p) = all_225_0_171 & c_Groups_Oplus__class_Oplus(t_a, v_a, v_a) = all_225_1_172 & c_Polynomial_OpCons(t_a, all_225_1_172, all_225_0_171) = v_p
% 69.18/20.21 |
% 69.18/20.21 | Applying alpha-rule on (1530) yields:
% 69.18/20.21 | (1531) c_Groups_Oplus__class_Oplus(all_0_4_4, v_p, v_p) = all_225_0_171
% 69.18/20.21 | (1532) c_Groups_Oplus__class_Oplus(t_a, v_a, v_a) = all_225_1_172
% 69.18/20.21 | (1533) c_Polynomial_OpCons(t_a, all_225_1_172, all_225_0_171) = v_p
% 69.18/20.21 |
% 69.18/20.21 | Instantiating (1528) with all_227_0_173, all_227_1_174 yields:
% 69.18/20.21 | (1534) c_Polynomial_OpCons(t_a, all_227_1_174, all_227_0_173) = all_227_0_173 & c_Groups_Ozero__class_Ozero(all_0_4_4) = all_227_0_173 & c_Groups_Ozero__class_Ozero(t_a) = all_227_1_174
% 69.18/20.21 |
% 69.18/20.21 | Applying alpha-rule on (1534) yields:
% 69.18/20.21 | (1535) c_Polynomial_OpCons(t_a, all_227_1_174, all_227_0_173) = all_227_0_173
% 69.18/20.21 | (1536) c_Groups_Ozero__class_Ozero(all_0_4_4) = all_227_0_173
% 69.18/20.21 | (1537) c_Groups_Ozero__class_Ozero(t_a) = all_227_1_174
% 69.18/20.21 |
% 69.18/20.21 | Instantiating (1527) with all_369_0_313, all_369_1_314, all_369_2_315 yields:
% 69.18/20.21 | (1538) tc_Polynomial_Opoly(t_a) = all_369_2_315 & c_Groups_Ozero__class_Ozero(all_369_2_315) = all_369_1_314 & c_Groups_Ozero__class_Ozero(t_a) = all_369_0_313 & ( ~ (all_369_1_314 = v_p) | all_369_0_313 = v_a)
% 69.18/20.21 |
% 69.18/20.21 | Applying alpha-rule on (1538) yields:
% 69.18/20.21 | (1539) tc_Polynomial_Opoly(t_a) = all_369_2_315
% 69.18/20.21 | (1540) c_Groups_Ozero__class_Ozero(all_369_2_315) = all_369_1_314
% 69.18/20.21 | (1541) c_Groups_Ozero__class_Ozero(t_a) = all_369_0_313
% 69.18/20.21 | (1542) ~ (all_369_1_314 = v_p) | all_369_0_313 = v_a
% 69.18/20.21 |
% 69.18/20.21 | Instantiating (1526) with all_409_0_349, all_409_1_350, all_409_2_351, all_409_3_352 yields:
% 69.18/20.21 | (1543) c_Groups_Otimes__class_Otimes(t_a) = all_409_3_352 & c_Polynomial_Osmult(t_a, v_h, v_p) = all_409_0_349 & c_Polynomial_OpCons(t_a, all_409_1_350, all_409_0_349) = v_p & hAPP(all_409_2_351, v_a) = all_409_1_350 & hAPP(all_409_3_352, v_h) = all_409_2_351
% 69.18/20.21 |
% 69.18/20.21 | Applying alpha-rule on (1543) yields:
% 69.18/20.21 | (1544) c_Polynomial_OpCons(t_a, all_409_1_350, all_409_0_349) = v_p
% 69.18/20.21 | (1545) c_Polynomial_Osmult(t_a, v_h, v_p) = all_409_0_349
% 69.18/20.21 | (1546) hAPP(all_409_2_351, v_a) = all_409_1_350
% 69.18/20.21 | (1547) hAPP(all_409_3_352, v_h) = all_409_2_351
% 69.18/20.21 | (1548) c_Groups_Otimes__class_Otimes(t_a) = all_409_3_352
% 69.18/20.21 |
% 69.18/20.21 | Instantiating formula (604) with v_p, t_a, all_409_1_350, all_409_0_349, v_a, v_p and discharging atoms c_Polynomial_OpCons(t_a, all_409_1_350, all_409_0_349) = v_p, c_Polynomial_OpCons(t_a, v_a, v_p) = v_p, class_Groups_Ozero(t_a), yields:
% 69.18/20.21 | (1549) all_409_1_350 = v_a
% 69.18/20.21 |
% 69.18/20.21 | Instantiating formula (43) with v_p, t_a, all_409_1_350, all_409_0_349, v_a, v_p and discharging atoms c_Polynomial_OpCons(t_a, all_409_1_350, all_409_0_349) = v_p, c_Polynomial_OpCons(t_a, v_a, v_p) = v_p, class_Groups_Ozero(t_a), yields:
% 69.18/20.21 | (1550) all_409_0_349 = v_p
% 69.18/20.21 |
% 69.18/20.21 | Instantiating formula (604) with v_p, t_a, all_225_1_172, all_225_0_171, all_409_1_350, all_409_0_349 and discharging atoms c_Polynomial_OpCons(t_a, all_409_1_350, all_409_0_349) = v_p, c_Polynomial_OpCons(t_a, all_225_1_172, all_225_0_171) = v_p, class_Groups_Ozero(t_a), yields:
% 69.18/20.21 | (1551) all_409_1_350 = all_225_1_172
% 69.18/20.21 |
% 69.18/20.22 | Instantiating formula (43) with v_p, t_a, all_225_1_172, all_225_0_171, all_409_1_350, all_409_0_349 and discharging atoms c_Polynomial_OpCons(t_a, all_409_1_350, all_409_0_349) = v_p, c_Polynomial_OpCons(t_a, all_225_1_172, all_225_0_171) = v_p, class_Groups_Ozero(t_a), yields:
% 69.18/20.22 | (1552) all_409_0_349 = all_225_0_171
% 69.18/20.22 |
% 69.18/20.22 | Instantiating formula (1395) with all_0_4_4, all_227_0_173, v_p and discharging atoms c_Groups_Ozero__class_Ozero(all_0_4_4) = all_227_0_173, c_Groups_Ozero__class_Ozero(all_0_4_4) = v_p, yields:
% 69.18/20.22 | (1553) all_227_0_173 = v_p
% 69.18/20.22 |
% 69.18/20.22 | Instantiating formula (1395) with t_a, all_369_0_313, all_0_0_0 and discharging atoms c_Groups_Ozero__class_Ozero(t_a) = all_369_0_313, c_Groups_Ozero__class_Ozero(t_a) = all_0_0_0, yields:
% 69.18/20.22 | (1554) all_369_0_313 = all_0_0_0
% 69.18/20.22 |
% 69.18/20.22 | Instantiating formula (1395) with t_a, all_227_1_174, all_369_0_313 and discharging atoms c_Groups_Ozero__class_Ozero(t_a) = all_369_0_313, c_Groups_Ozero__class_Ozero(t_a) = all_227_1_174, yields:
% 69.18/20.22 | (1555) all_369_0_313 = all_227_1_174
% 69.18/20.22 |
% 69.18/20.22 | Combining equations (1550,1552) yields a new equation:
% 69.18/20.22 | (1556) all_225_0_171 = v_p
% 69.18/20.22 |
% 69.18/20.22 | Combining equations (1551,1549) yields a new equation:
% 69.18/20.22 | (1557) all_225_1_172 = v_a
% 69.18/20.22 |
% 69.18/20.22 | Simplifying 1557 yields:
% 69.18/20.22 | (1558) all_225_1_172 = v_a
% 69.18/20.22 |
% 69.18/20.22 | Combining equations (1555,1554) yields a new equation:
% 69.18/20.22 | (1559) all_227_1_174 = all_0_0_0
% 69.18/20.22 |
% 69.18/20.22 | Simplifying 1559 yields:
% 69.18/20.22 | (1560) all_227_1_174 = all_0_0_0
% 69.18/20.22 |
% 69.18/20.22 | From (1560)(1553)(1553) and (1535) follows:
% 69.18/20.22 | (1561) c_Polynomial_OpCons(t_a, all_0_0_0, v_p) = v_p
% 69.18/20.22 |
% 69.18/20.22 | From (1558)(1556) and (1533) follows:
% 69.18/20.22 | (1525) c_Polynomial_OpCons(t_a, v_a, v_p) = v_p
% 69.18/20.22 |
% 69.18/20.22 | Instantiating formula (604) with v_p, t_a, all_0_0_0, v_p, v_a, v_p and discharging atoms c_Polynomial_OpCons(t_a, all_0_0_0, v_p) = v_p, c_Polynomial_OpCons(t_a, v_a, v_p) = v_p, class_Groups_Ozero(t_a), yields:
% 69.18/20.22 | (1563) all_0_0_0 = v_a
% 69.18/20.22 |
% 69.18/20.22 | Equations (1563) can reduce 1517 to:
% 69.18/20.22 | (1501) $false
% 69.18/20.22 |
% 69.18/20.22 |-The branch is then unsatisfiable
% 69.18/20.22 |-Branch two:
% 69.18/20.22 | (1563) all_0_0_0 = v_a
% 69.18/20.22 | (1566) ~ (all_0_3_3 = v_p)
% 69.18/20.22 |
% 69.18/20.22 | Equations (1511) can reduce 1566 to:
% 69.18/20.22 | (1501) $false
% 69.18/20.22 |
% 69.18/20.22 |-The branch is then unsatisfiable
% 69.18/20.22 % SZS output end Proof for theBenchmark
% 69.18/20.22
% 69.18/20.22 19595ms
%------------------------------------------------------------------------------