TSTP Solution File: SWW192+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : SWW192+1 : TPTP v8.1.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.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 62.75s 20.83s
% Output : Proof 177.08s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SWW192+1 : TPTP v8.1.0. Released v5.2.0.
% 0.12/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n021.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jun 5 12:09:49 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.57/0.59 ____ _
% 0.57/0.59 ___ / __ \_____(_)___ ________ __________
% 0.57/0.59 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.57/0.59 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.57/0.59 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.57/0.59
% 0.57/0.59 A Theorem Prover for First-Order Logic
% 0.57/0.59 (ePrincess v.1.0)
% 0.57/0.59
% 0.57/0.59 (c) Philipp Rümmer, 2009-2015
% 0.57/0.59 (c) Peter Backeman, 2014-2015
% 0.57/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.57/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.57/0.59 Bug reports to peter@backeman.se
% 0.57/0.59
% 0.57/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.57/0.59
% 0.57/0.59 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.74/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 4.35/1.71 Prover 0: Preprocessing ...
% 14.18/3.97 Prover 0: Warning: ignoring some quantifiers
% 14.95/4.09 Prover 0: Constructing countermodel ...
% 22.71/5.94 Prover 1: Options: +triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=normal +ignoreQuantifiers -generateTriggers=all
% 24.61/6.63 Prover 1: Preprocessing ...
% 30.25/8.01 Prover 1: Warning: ignoring some quantifiers
% 30.88/8.16 Prover 1: Constructing countermodel ...
% 32.51/8.54 Prover 2: Options: +triggersInConjecture +genTotalityAxioms +tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation -boolFunsAsPreds -triggerStrategy=allUni -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 34.90/9.16 Prover 2: Preprocessing ...
% 41.09/10.75 Prover 2: Warning: ignoring some quantifiers
% 41.63/10.85 Prover 2: Constructing countermodel ...
% 50.89/14.00 Prover 0: stopped
% 51.12/14.20 Prover 3: Options: -triggersInConjecture -genTotalityAxioms +tightFunctionScopes -clausifier=simple +reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=maximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 52.06/14.70 Prover 3: Preprocessing ...
% 53.86/15.33 Prover 3: Warning: ignoring some quantifiers
% 53.94/15.38 Prover 3: Constructing countermodel ...
% 62.75/20.83 Prover 3: proved (6630ms)
% 62.75/20.83 Prover 2: stopped
% 62.75/20.83 Prover 1: stopped
% 62.75/20.83
% 62.75/20.83 No countermodel exists, formula is valid
% 62.75/20.83 % SZS status Theorem for theBenchmark
% 62.75/20.83
% 62.75/20.83 Generating proof ... Warning: ignoring some quantifiers
% 174.22/93.35 found it (size 40)
% 174.22/93.35
% 174.22/93.35 % SZS output start Proof for theBenchmark
% 174.22/93.35 Assumed formulas after preprocessing and simplification:
% 174.22/93.35 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ( ~ (v49 = v0) & ~ (v39 = c_Int_OPls) & ~ (v19 = c_Complex_Oii) & ~ (v10 = v0) & ~ (v9 = c_Complex_Oii) & ~ (v4 = c_Int_OPls) & ~ (c_Int_OMin = c_Int_OPls) & c_Transcendental_Oarctan(v10) = v10 & c_Nat_OSuc(v15) = v5 & c_Nat_OSuc(v5) = v3 & c_Nat_OSuc(v3) = v22 & c_NthRoot_Osqrt(v23) = v33 & c_NthRoot_Osqrt(v10) = v10 & c_NthRoot_Osqrt(v0) = v0 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v4) = c_Int_OMin & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v31 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OMin) = v1 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OPls) = c_Int_OPls & c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v19) = v42 & c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = v17 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = v15 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = v10 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = v9 & c_Groups_Otimes__class_Otimes(tc_Int_Oint) = v12 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = v16 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = v11 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = v43 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) = v0 & c_Complex_Ocomplex_OComplex(v50, v51) = v_z & c_Complex_Ocomplex_OComplex(v10, v10) = v9 & c_Complex_Ocomplex_OComplex(v10, v0) = c_Complex_Oii & c_Complex_Ocomplex_OComplex(v0, v10) = v19 & c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v_z & c_Int_OBit0(v2) = v25 & c_Int_OBit0(v1) = v2 & c_Int_OBit0(c_Int_OPls) = c_Int_OPls & c_Int_OBit1(v1) = v21 & c_Int_OBit1(c_Int_OMin) = c_Int_OMin & c_Int_OBit1(c_Int_OPls) = v1 & c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, v1) = v8 & c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, c_Int_OPls) = v17 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v21) = v38 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v34 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v4 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) = v39 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = c_Int_OPls & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v21) = v22 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = v15 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v25) = v26 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v2) = v23 & c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, c_Int_OMin) = v42 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v5) = v3 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v46, v48) = v49 & c_Power_Opower__class_Opower(tc_Int_Oint) = v14 & c_Power_Opower__class_Opower(tc_Nat_Onat) = v36 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) = v7 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = v6 & c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = v8 & c_Groups_Oone__class_Oone(tc_Int_Oint) = v4 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = v5 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = v0 & c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = v19 & hAPP(v47, v3) = v48 & hAPP(v45, v3) = v46 & hAPP(v44, c_Complex_Oii) = v42 & hAPP(v43, c_Complex_Oii) = v44 & hAPP(v41, v3) = v42 & hAPP(v36, v5) = v37 & hAPP(v16, v15) = v29 & hAPP(v16, v5) = v30 & hAPP(v16, v3) = v20 & hAPP(v12, v34) = v35 & hAPP(v12, v4) = v13 & hAPP(v12, c_Int_OMin) = v40 & hAPP(v12, c_Int_OPls) = v18 & hAPP(v11, v26) = v27 & hAPP(v11, v23) = v24 & hAPP(v11, v0) = v28 & hAPP(v7, v23) = v32 & hAPP(v7, v_y____) = v47 & hAPP(v7, v_x____) = v45 & hAPP(v6, c_Complex_Oii) = v41 & class_Fields_Olinordered__field(tc_RealDef_Oreal) & class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) & class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) & class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) & class_Fields_Ofield(tc_RealDef_Oreal) & class_Fields_Ofield(tc_Complex_Ocomplex) & class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) & class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) & class_Rings_Odivision__ring(tc_RealDef_Oreal) & class_Rings_Odivision__ring(tc_Complex_Ocomplex) & class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) & class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) & class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) & class_Rings_Olinordered__semiring(tc_Int_Oint) & class_Rings_Olinordered__semiring(tc_Nat_Onat) & class_Rings_Olinordered__semiring(tc_RealDef_Oreal) & class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) & class_Rings_Olinordered__semiring__strict(tc_Int_Oint) & class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) & class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) & class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) & class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) & class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) & class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) & c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OPls) & c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v4) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v5) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v3) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v33) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v33) & class_Orderings_Oorder(tc_HOL_Obool) & class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) & class_Orderings_Oorder(tc_Int_Oint) & class_Orderings_Oorder(tc_Nat_Onat) & class_Orderings_Oorder(tc_RealDef_Oreal) & class_Orderings_Oord(tc_HOL_Obool) & class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) & class_Orderings_Oord(tc_Int_Oint) & class_Orderings_Oord(tc_Nat_Onat) & class_Orderings_Oord(tc_RealDef_Oreal) & class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) & class_Orderings_Olinorder(tc_Int_Oint) & class_Orderings_Olinorder(tc_Nat_Onat) & class_Orderings_Olinorder(tc_RealDef_Oreal) & c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Int_OPls) & class_Orderings_Opreorder(tc_HOL_Obool) & class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) & class_Orderings_Opreorder(tc_Int_Oint) & class_Orderings_Opreorder(tc_Nat_Onat) & class_Orderings_Opreorder(tc_RealDef_Oreal) & class_Rings_Olinordered__semiring__1(tc_Int_Oint) & class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) & class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) & class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) & class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) & class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) & class_Rings_Oordered__comm__semiring(tc_Int_Oint) & class_Rings_Oordered__comm__semiring(tc_Nat_Onat) & class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) & class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) & class_Rings_Oordered__semiring(tc_Int_Oint) & class_Rings_Oordered__semiring(tc_Nat_Onat) & class_Rings_Oordered__semiring(tc_RealDef_Oreal) & class_Rings_Oordered__ring(tc_Int_Oint) & class_Rings_Oordered__ring(tc_RealDef_Oreal) & class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) & class_Rings_Oordered__cancel__semiring(tc_Int_Oint) & class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) & class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) & class_Rings_Olinordered__ring(tc_Int_Oint) & class_Rings_Olinordered__ring(tc_RealDef_Oreal) & class_Groups_Oordered__ab__group__add(tc_Int_Oint) & class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) & class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) & class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) & class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) & class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) & class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) & class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) & class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) & class_Rings_Olinordered__semidom(tc_Int_Oint) & class_Rings_Olinordered__semidom(tc_Nat_Onat) & class_Rings_Olinordered__semidom(tc_RealDef_Oreal) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OMin) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OPls) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v38) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v34) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v4) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OPls) & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v15, v15) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v33) & class_Rings_Oring(tc_Int_Oint) & class_Rings_Oring(tc_RealDef_Oreal) & class_Rings_Oring(tc_Complex_Ocomplex) & class_Rings_Oidom(tc_Int_Oint) & class_Rings_Oidom(tc_RealDef_Oreal) & class_Rings_Oidom(tc_Complex_Ocomplex) & class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) & class_Rings_Ocomm__semiring(tc_Int_Oint) & class_Rings_Ocomm__semiring(tc_Nat_Onat) & class_Rings_Ocomm__semiring(tc_RealDef_Oreal) & class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) & class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Ocomm__monoid__add(tc_Int_Oint) & class_Groups_Ocomm__monoid__add(tc_Nat_Onat) & class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) & class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) & class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Omonoid__add(tc_Int_Oint) & class_Groups_Omonoid__add(tc_Nat_Onat) & class_Groups_Omonoid__add(tc_RealDef_Oreal) & class_Groups_Omonoid__add(tc_Complex_Ocomplex) & class_Rings_Oring__no__zero__divisors(tc_Int_Oint) & class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) & class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) & class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oone(tc_Int_Oint) & class_Groups_Oone(tc_Nat_Onat) & class_Groups_Oone(tc_RealDef_Oreal) & class_Groups_Oone(tc_Complex_Ocomplex) & class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) & class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) & class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) & class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) & class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Ocancel__semigroup__add(tc_Int_Oint) & class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) & class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) & class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) & class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oab__semigroup__add(tc_Int_Oint) & class_Groups_Oab__semigroup__add(tc_Nat_Onat) & class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) & class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) & class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oab__semigroup__mult(tc_Int_Oint) & class_Groups_Oab__semigroup__mult(tc_Nat_Onat) & class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) & class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) & class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) & class_Groups_Ozero(tc_Int_Oint) & class_Groups_Ozero(tc_Nat_Onat) & class_Groups_Ozero(tc_RealDef_Oreal) & class_Groups_Ozero(tc_Complex_Ocomplex) & class_Groups_Oab__group__add(tc_Int_Oint) & class_Groups_Oab__group__add(tc_RealDef_Oreal) & class_Groups_Oab__group__add(tc_Complex_Ocomplex) & class_Groups_Ogroup__add(tc_Int_Oint) & class_Groups_Ogroup__add(tc_RealDef_Oreal) & class_Groups_Ogroup__add(tc_Complex_Ocomplex) & class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) & class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) & class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) & class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) & class_Rings_Ocomm__ring__1(tc_Int_Oint) & class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) & class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) & class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) & class_Rings_Ocomm__semiring__1(tc_Int_Oint) & class_Rings_Ocomm__semiring__1(tc_Nat_Onat) & class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) & class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) & class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) & class_Rings_Osemiring(tc_Int_Oint) & class_Rings_Osemiring(tc_Nat_Onat) & class_Rings_Osemiring(tc_RealDef_Oreal) & class_Rings_Osemiring(tc_Complex_Ocomplex) & class_Groups_Olinordered__ab__group__add(tc_Int_Oint) & class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) & class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) & class_Rings_Osemiring__0(tc_Int_Oint) & class_Rings_Osemiring__0(tc_Nat_Onat) & class_Rings_Osemiring__0(tc_RealDef_Oreal) & class_Rings_Osemiring__0(tc_Complex_Ocomplex) & class_Rings_Oring__1(tc_Int_Oint) & class_Rings_Oring__1(tc_RealDef_Oreal) & class_Rings_Oring__1(tc_Complex_Ocomplex) & class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) & class_Groups_Ocomm__monoid__mult(tc_Int_Oint) & class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) & class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) & class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) & class_Rings_Olinordered__ring__strict(tc_Int_Oint) & class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) & class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) & class_Rings_Ozero__neq__one(tc_Int_Oint) & class_Rings_Ozero__neq__one(tc_Nat_Onat) & class_Rings_Ozero__neq__one(tc_RealDef_Oreal) & class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) & class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) & class_Rings_Ono__zero__divisors(tc_Int_Oint) & class_Rings_Ono__zero__divisors(tc_Nat_Onat) & class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) & class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) & class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) & class_Rings_Omult__zero(tc_Int_Oint) & class_Rings_Omult__zero(tc_Nat_Onat) & class_Rings_Omult__zero(tc_RealDef_Oreal) & class_Rings_Omult__zero(tc_Complex_Ocomplex) & class_Power_Opower(tc_Code__Numeral_Ocode__numeral) & class_Power_Opower(tc_Int_Oint) & class_Power_Opower(tc_Nat_Onat) & class_Power_Opower(tc_RealDef_Oreal) & class_Power_Opower(tc_Complex_Ocomplex) & class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) & class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) & class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) & class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) & class_Rings_Olinordered__idom(tc_Int_Oint) & class_Rings_Olinordered__idom(tc_RealDef_Oreal) & class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) & class_Groups_Omonoid__mult(tc_Int_Oint) & class_Groups_Omonoid__mult(tc_Nat_Onat) & class_Groups_Omonoid__mult(tc_RealDef_Oreal) & class_Groups_Omonoid__mult(tc_Complex_Ocomplex) & class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) & class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) & class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) & class_Int_Onumber(tc_Int_Oint) & class_Int_Onumber(tc_Nat_Onat) & class_Int_Onumber(tc_RealDef_Oreal) & class_Int_Onumber(tc_Complex_Ocomplex) & class_Int_Oring__char__0(tc_Int_Oint) & class_Int_Oring__char__0(tc_RealDef_Oreal) & class_Int_Oring__char__0(tc_Complex_Ocomplex) & class_Int_Onumber__ring(tc_Int_Oint) & class_Int_Onumber__ring(tc_RealDef_Oreal) & class_Int_Onumber__ring(tc_Complex_Ocomplex) & class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) & class_Rings_Osemiring__1(tc_Int_Oint) & class_Rings_Osemiring__1(tc_Nat_Onat) & class_Rings_Osemiring__1(tc_RealDef_Oreal) & class_Rings_Osemiring__1(tc_Complex_Ocomplex) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OMin) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OMin) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v15) & ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v4) & ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OMin) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ! [v64] : ! [v65] : ! [v66] : ! [v67] : ! [v68] : ( ~ (c_NthRoot_Osqrt(v66) = v67) | ~ (c_NthRoot_Osqrt(v60) = v61) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v63, v65) = v66) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v61, v67) = v68) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v57, v59) = v60) | ~ (hAPP(v64, v3) = v65) | ~ (hAPP(v62, v3) = v63) | ~ (hAPP(v58, v3) = v59) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v7, v55) = v56) | ~ (hAPP(v7, v54) = v62) | ~ (hAPP(v7, v53) = v58) | ~ (hAPP(v7, v52) = v64) | ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : ? [v74] : ? [v75] : ? [v76] : (c_NthRoot_Osqrt(v75) = v76 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v71, v74) = v75 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v54) = v69 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v72 & hAPP(v73, v3) = v74 & hAPP(v70, v3) = v71 & hAPP(v7, v72) = v73 & hAPP(v7, v69) = v70 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v76, v68))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ! [v64] : ! [v65] : ! [v66] : ! [v67] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v61) | ~ (c_Int_Onumber__class_Onumber__of(v54, v2) = v62) | ~ (c_Groups_Oplus__class_Oplus(v54, v60, v66) = v67) | ~ (c_Groups_Oplus__class_Oplus(v54, v57, v59) = v60) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v65, v52) = v66) | ~ (hAPP(v63, v53) = v64) | ~ (hAPP(v61, v64) = v65) | ~ (hAPP(v61, v62) = v63) | ~ (hAPP(v58, v3) = v59) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ class_Int_Onumber__ring(v54) | ? [v68] : ? [v69] : (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v68 & hAPP(v69, v3) = v67 & hAPP(v55, v68) = v69)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ! [v64] : ! [v65] : ! [v66] : ! [v67] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v63, v65) = v66) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v57, v59) = v60) | ~ (hAPP(v64, v3) = v65) | ~ (hAPP(v62, v3) = v63) | ~ (hAPP(v61, v66) = v67) | ~ (hAPP(v58, v3) = v59) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v11, v60) = v61) | ~ (hAPP(v7, v55) = v56) | ~ (hAPP(v7, v54) = v58) | ~ (hAPP(v7, v53) = v62) | ~ (hAPP(v7, v52) = v64) | ? [v68] : ? [v69] : (c_NthRoot_Osqrt(v67) = v68 & hAPP(v69, v3) = v67 & hAPP(v7, v68) = v69)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ! [v64] : ! [v65] : ! [v66] : ! [v67] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v63, v65) = v66) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v57, v59) = v60) | ~ (hAPP(v64, v3) = v65) | ~ (hAPP(v62, v3) = v63) | ~ (hAPP(v61, v66) = v67) | ~ (hAPP(v58, v3) = v59) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v11, v60) = v61) | ~ (hAPP(v7, v55) = v56) | ~ (hAPP(v7, v54) = v58) | ~ (hAPP(v7, v53) = v62) | ~ (hAPP(v7, v52) = v64) | ? [v68] : (c_NthRoot_Osqrt(v67) = v68 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v68))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ! [v64] : ! [v65] : ( ~ (c_Rings_Oinverse__class_Odivide(v56, v62, v64) = v65) | ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (c_Groups_Oplus__class_Oplus(v56, v59, v61) = v62) | ~ (hAPP(v63, v54) = v64) | ~ (hAPP(v60, v55) = v61) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v55) = v63) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v60) | ~ class_Fields_Ofield(v56) | ? [v66] : ? [v67] : ? [v68] : ((v68 = v65 & c_Rings_Oinverse__class_Odivide(v56, v53, v55) = v66 & c_Rings_Oinverse__class_Odivide(v56, v52, v54) = v67 & c_Groups_Oplus__class_Oplus(v56, v66, v67) = v65) | (c_Groups_Ozero__class_Ozero(v56) = v66 & (v66 = v55 | v66 = v54)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ! [v64] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v57) = v58) | ~ (c_Groups_Otimes__class_Otimes(v54) = v56) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (c_Groups_Oone__class_Oone(v54) = v57) | ~ (hAPP(v62, v52) = v63) | ~ (hAPP(v61, v63) = v64) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v56, v60) = v61) | ~ (hAPP(v55, v58) = v59) | ~ (hAPP(v55, v53) = v62) | ~ class_Rings_Oring__1(v54) | ? [v65] : ? [v66] : (c_Groups_Ouminus__class_Ouminus(v54, v53) = v65 & hAPP(v66, v52) = v64 & hAPP(v55, v65) = v66)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ( ~ (c_Groups_Otimes__class_Otimes(v57) = v58) | ~ (c_Groups_Oplus__class_Oplus(v57, v60, v62) = v63) | ~ (hAPP(v61, v54) = v62) | ~ (hAPP(v59, v56) = v60) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v58, v52) = v61) | ~ class_Rings_Olinordered__semiring__1__strict(v57) | ~ c_Orderings_Oord__class_Oless(v57, v56, v55) | ~ c_Orderings_Oord__class_Oless(v57, v54, v55) | c_Orderings_Oord__class_Oless(v57, v63, v55) | ? [v64] : ? [v65] : (( ~ (v65 = v64) & c_Groups_Oplus__class_Oplus(v57, v53, v52) = v64 & c_Groups_Oone__class_Oone(v57) = v65) | (c_Groups_Ozero__class_Ozero(v57) = v64 & ( ~ c_Orderings_Oord__class_Oless__eq(v57, v64, v53) | ~ c_Orderings_Oord__class_Oless__eq(v57, v64, v52))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ( ~ (c_Groups_Otimes__class_Otimes(v57) = v58) | ~ (c_Groups_Oplus__class_Oplus(v57, v60, v62) = v63) | ~ (hAPP(v61, v54) = v62) | ~ (hAPP(v59, v56) = v60) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v58, v52) = v61) | ~ class_Rings_Olinordered__semiring__1(v57) | ~ c_Orderings_Oord__class_Oless__eq(v57, v56, v55) | ~ c_Orderings_Oord__class_Oless__eq(v57, v54, v55) | c_Orderings_Oord__class_Oless__eq(v57, v63, v55) | ? [v64] : ? [v65] : (( ~ (v65 = v64) & c_Groups_Oplus__class_Oplus(v57, v53, v52) = v64 & c_Groups_Oone__class_Oone(v57) = v65) | (c_Groups_Ozero__class_Ozero(v57) = v64 & ( ~ c_Orderings_Oord__class_Oless__eq(v57, v64, v53) | ~ c_Orderings_Oord__class_Oless__eq(v57, v64, v52))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (c_Groups_Oplus__class_Oplus(v56, v61, v52) = v62) | ~ (c_Groups_Oplus__class_Oplus(v56, v59, v62) = v63) | ~ (hAPP(v60, v54) = v61) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v53) = v60) | ~ class_Rings_Osemiring(v56) | ? [v64] : ? [v65] : ? [v66] : (c_Groups_Oplus__class_Oplus(v56, v66, v52) = v63 & c_Groups_Oplus__class_Oplus(v56, v55, v53) = v64 & hAPP(v65, v54) = v66 & hAPP(v57, v64) = v65)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (hAPP(v61, v52) = v62) | ~ (hAPP(v60, v62) = v63) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v59) = v60) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v53) = v61) | ~ class_Rings_Ocomm__semiring__1(v56) | ? [v64] : ? [v65] : (hAPP(v64, v62) = v65 & hAPP(v58, v65) = v63 & hAPP(v57, v54) = v64)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (hAPP(v61, v52) = v62) | ~ (hAPP(v60, v62) = v63) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v59) = v60) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v53) = v61) | ~ class_Rings_Ocomm__semiring__1(v56) | ? [v64] : (hAPP(v61, v64) = v63 & hAPP(v60, v52) = v64)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (hAPP(v61, v52) = v62) | ~ (hAPP(v60, v62) = v63) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v57, v59) = v60) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v54) = v61) | ~ class_Rings_Ocomm__semiring__1(v56) | ? [v64] : ? [v65] : ? [v66] : ? [v67] : (hAPP(v66, v52) = v67 & hAPP(v65, v67) = v63 & hAPP(v58, v54) = v64 & hAPP(v57, v64) = v65 & hAPP(v57, v53) = v66)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v61, v52) = v62) | ~ (hAPP(v60, v62) = v63) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v57, v59) = v60) | ~ (hAPP(v56, v54) = v58) | ~ (hAPP(v56, v53) = v61) | ~ class_Rings_Ocomm__semiring__1(v55) | ? [v64] : ? [v65] : ? [v66] : (hAPP(v66, v52) = v63 & hAPP(v64, v53) = v65 & hAPP(v57, v54) = v64 & hAPP(v56, v65) = v66)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ! [v63] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v61, v52) = v62) | ~ (hAPP(v60, v62) = v63) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v57, v59) = v60) | ~ (hAPP(v56, v54) = v58) | ~ (hAPP(v56, v53) = v61) | ~ class_Groups_Ocomm__monoid__mult(v55) | ? [v64] : ? [v65] : ? [v66] : (hAPP(v66, v52) = v63 & hAPP(v64, v53) = v65 & hAPP(v57, v54) = v64 & hAPP(v56, v65) = v66)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (c_Rings_Oinverse__class_Odivide(v56, v59, v61) = v62) | ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (hAPP(v60, v52) = v61) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v54) = v60) | ~ class_Fields_Ofield__inverse__zero(v56) | ? [v63] : ? [v64] : ? [v65] : (c_Rings_Oinverse__class_Odivide(v56, v55, v54) = v63 & c_Rings_Oinverse__class_Odivide(v56, v53, v52) = v65 & hAPP(v64, v65) = v62 & hAPP(v57, v63) = v64)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (c_RealVector_Onorm__class_Onorm(v56, v59) = v60) | ~ (hAPP(v61, v52) = v62) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v11, v54) = v61) | ~ class_RealVector_Oreal__normed__algebra(v56) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v60, v62) | ? [v63] : ((c_RealVector_Onorm__class_Onorm(v56, v55) = v63 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v63, v54)) | (c_RealVector_Onorm__class_Onorm(v56, v53) = v63 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v63, v52)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (c_Groups_Oplus__class_Oplus(v56, v60, v61) = v62) | ~ (hAPP(v59, v54) = v61) | ~ (hAPP(v58, v52) = v60) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v53) = v59) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v56) | ? [v63] : ? [v64] : ? [v65] : ((v55 = v53 | v54 = v52 | ( ~ (v65 = v62) & c_Groups_Oplus__class_Oplus(v56, v63, v64) = v65 & hAPP(v59, v52) = v64 & hAPP(v58, v54) = v63)) & ((v65 = v62 & c_Groups_Oplus__class_Oplus(v56, v63, v64) = v62 & hAPP(v59, v52) = v64 & hAPP(v58, v54) = v63) | ( ~ (v55 = v53) & ~ (v54 = v52))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (c_Groups_Oplus__class_Oplus(v56, v60, v61) = v62) | ~ (hAPP(v59, v53) = v61) | ~ (hAPP(v58, v52) = v60) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v54) = v59) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v56) | ? [v63] : ? [v64] : ? [v65] : ((v55 = v54 | v53 = v52 | ( ~ (v65 = v62) & c_Groups_Oplus__class_Oplus(v56, v63, v64) = v65 & hAPP(v59, v52) = v64 & hAPP(v58, v53) = v63)) & ((v65 = v62 & c_Groups_Oplus__class_Oplus(v56, v63, v64) = v62 & hAPP(v59, v52) = v64 & hAPP(v58, v53) = v63) | ( ~ (v55 = v54) & ~ (v53 = v52))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v60, v61) = v62) | ~ (hAPP(v58, v59) = v60) | ~ (hAPP(v57, v53) = v59) | ~ (hAPP(v57, v52) = v61) | ~ (hAPP(v56, v54) = v57) | ~ class_Groups_Omonoid__mult(v55) | ? [v63] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v63 & hAPP(v57, v63) = v62)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Int_Onumber__class_Onumber__of(v55, v54) = v57) | ~ (c_Int_Onumber__class_Onumber__of(v55, v53) = v59) | ~ (hAPP(v60, v52) = v61) | ~ (hAPP(v58, v61) = v62) | ~ (hAPP(v56, v59) = v60) | ~ (hAPP(v56, v57) = v58) | ~ class_Int_Onumber__ring(v55) | ? [v63] : ? [v64] : ? [v65] : ? [v66] : (c_Int_Onumber__class_Onumber__of(v55, v64) = v65 & hAPP(v66, v52) = v62 & hAPP(v63, v53) = v64 & hAPP(v56, v65) = v66 & hAPP(v12, v54) = v63)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Int_Onumber__class_Onumber__of(v55, v52) = v57) | ~ (c_Groups_Oplus__class_Oplus(v55, v59, v61) = v62) | ~ (hAPP(v60, v57) = v61) | ~ (hAPP(v58, v57) = v59) | ~ (hAPP(v56, v54) = v58) | ~ (hAPP(v56, v53) = v60) | ~ class_Rings_Osemiring(v55) | ~ class_Int_Onumber(v55) | ? [v63] : ? [v64] : (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v63 & hAPP(v64, v57) = v62 & hAPP(v56, v63) = v64)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Power_Opower__class_Opower(v55) = v57) | ~ (hAPP(v60, v61) = v62) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v58, v52) = v61) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v56, v59) = v60) | ~ class_Rings_Ocomm__semiring__1(v55) | ? [v63] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v63 & hAPP(v58, v63) = v62)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v57) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v60, v3) = v61) | ~ (hAPP(v58, v61) = v62) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v52) = v59) | ~ (hAPP(v55, v59) = v60) | ~ (hAPP(v55, v53) = v56) | ~ class_Groups_Omonoid__mult(v54) | ? [v63] : ? [v64] : (c_Nat_OSuc(v63) = v64 & hAPP(v56, v64) = v62 & hAPP(v20, v52) = v63)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v62, v52) = v60) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v59, v55) = v60) | ~ (hAPP(v61, v53) = v62) | ~ (hAPP(v58, v56) = v59) | ~ (hAPP(v12, v57) = v58) | ~ (hAPP(v12, v54) = v61) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v60, c_Int_OPls) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v55, v57) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v57) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v62, v52) = v60) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v59, v55) = v60) | ~ (hAPP(v61, v53) = v62) | ~ (hAPP(v58, v56) = v59) | ~ (hAPP(v12, v57) = v58) | ~ (hAPP(v12, v54) = v61) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v57) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v60) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v55) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v56, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ! [v62] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v58, v61) = v62) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v58) | ~ (hAPP(v60, v52) = v61) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v54, v3) = v55) | ~ (hAPP(v24, v53) = v59) | ~ (hAPP(v11, v59) = v60) | ~ (hAPP(v7, v53) = v54) | ~ (hAPP(v7, v52) = v56) | ? [v63] : ? [v64] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v63 & hAPP(v64, v3) = v62 & hAPP(v7, v63) = v64)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : (v53 = v52 | ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (c_Groups_Oplus__class_Oplus(v56, v54, v61) = v60) | ~ (c_Groups_Oplus__class_Oplus(v56, v54, v59) = v60) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v58, v52) = v61) | ~ (hAPP(v57, v55) = v58) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v56) | c_Groups_Ozero__class_Ozero(v56) = v55) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v58, v60) = v61) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v59, v54) = v60) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v56, v52) = v59) | ~ class_Fields_Ofield__inverse__zero(v55) | ? [v62] : ((v62 = v61 & c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v61) | (v62 = v54 & c_Groups_Ozero__class_Ozero(v55) = v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v58, v60) = v61) | ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v59) | ~ (hAPP(v56, v53) = v57) | ~ class_Fields_Ofield(v55) | ? [v62] : ? [v63] : ? [v64] : ((v64 = v61 & c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v62 & hAPP(v63, v52) = v61 & hAPP(v56, v62) = v63) | (v62 = v54 & c_Groups_Ozero__class_Ozero(v55) = v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v58, v60) = v61) | ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v53) = v59) | ~ class_Fields_Ofield__inverse__zero(v55) | ? [v62] : ? [v63] : (c_Rings_Oinverse__class_Odivide(v55, v54, v53) = v62 & hAPP(v63, v52) = v61 & hAPP(v56, v62) = v63)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Power_Opower_Opower(v56, v55, v54) = v57) | ~ (hAPP(v59, v60) = v61) | ~ (hAPP(v58, v52) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v54, v53) = v59) | ? [v62] : (c_Nat_OSuc(v52) = v62 & hAPP(v58, v62) = v61)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Nat_OSuc(v53) = v58) | ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v60, v58) = v61) | ~ (hAPP(v57, v58) = v59) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v52) = v60) | ~ class_Rings_Olinordered__semidom(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v59, v61) | c_Orderings_Oord__class_Oless__eq(v55, v54, v52) | ? [v62] : (c_Groups_Ozero__class_Ozero(v55) = v62 & ~ c_Orderings_Oord__class_Oless__eq(v55, v62, v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (hAPP(v60, v55) = v61) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v60) | ~ class_Fields_Ofield(v56) | ? [v62] : ? [v63] : ((c_Groups_Ozero__class_Ozero(v56) = v62 & (v62 = v55 | v62 = v54)) | (( ~ (v61 = v59) | (v63 = v62 & c_Rings_Oinverse__class_Odivide(v56, v53, v55) = v62 & c_Rings_Oinverse__class_Odivide(v56, v52, v54) = v62)) & (v61 = v59 | ( ~ (v63 = v62) & c_Rings_Oinverse__class_Odivide(v56, v53, v55) = v62 & c_Rings_Oinverse__class_Odivide(v56, v52, v54) = v63))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (hAPP(v60, v52) = v61) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v54) = v60) | ~ class_Rings_Olinordered__semiring__strict(v56) | ~ c_Orderings_Oord__class_Oless(v56, v55, v54) | ~ c_Orderings_Oord__class_Oless(v56, v53, v52) | c_Orderings_Oord__class_Oless(v56, v59, v61) | ? [v62] : (c_Groups_Ozero__class_Ozero(v56) = v62 & ( ~ c_Orderings_Oord__class_Oless(v56, v62, v54) | ~ c_Orderings_Oord__class_Oless__eq(v56, v62, v53)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (hAPP(v60, v52) = v61) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v54) = v60) | ~ class_Rings_Olinordered__semiring__strict(v56) | ~ c_Orderings_Oord__class_Oless(v56, v55, v54) | ~ c_Orderings_Oord__class_Oless(v56, v53, v52) | c_Orderings_Oord__class_Oless(v56, v59, v61) | ? [v62] : (c_Groups_Ozero__class_Ozero(v56) = v62 & ( ~ c_Orderings_Oord__class_Oless__eq(v56, v62, v55) | ~ c_Orderings_Oord__class_Oless__eq(v56, v62, v53)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (hAPP(v60, v52) = v61) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v54) = v60) | ~ class_Rings_Olinordered__semiring__strict(v56) | ~ c_Orderings_Oord__class_Oless(v56, v55, v54) | ~ c_Orderings_Oord__class_Oless__eq(v56, v53, v52) | c_Orderings_Oord__class_Oless(v56, v59, v61) | ? [v62] : (c_Groups_Ozero__class_Ozero(v56) = v62 & ( ~ c_Orderings_Oord__class_Oless(v56, v62, v53) | ~ c_Orderings_Oord__class_Oless__eq(v56, v62, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (hAPP(v60, v52) = v61) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v54) = v60) | ~ class_Rings_Olinordered__semiring__strict(v56) | ~ c_Orderings_Oord__class_Oless(v56, v53, v52) | ~ c_Orderings_Oord__class_Oless__eq(v56, v55, v54) | c_Orderings_Oord__class_Oless(v56, v59, v61) | ? [v62] : (c_Groups_Ozero__class_Ozero(v56) = v62 & ( ~ c_Orderings_Oord__class_Oless(v56, v62, v55) | ~ c_Orderings_Oord__class_Oless__eq(v56, v62, v53)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (hAPP(v60, v52) = v61) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v54) = v60) | ~ class_Rings_Oordered__semiring(v56) | ~ c_Orderings_Oord__class_Oless__eq(v56, v55, v54) | ~ c_Orderings_Oord__class_Oless__eq(v56, v53, v52) | c_Orderings_Oord__class_Oless__eq(v56, v59, v61) | ? [v62] : (c_Groups_Ozero__class_Ozero(v56) = v62 & ( ~ c_Orderings_Oord__class_Oless__eq(v56, v62, v55) | ~ c_Orderings_Oord__class_Oless__eq(v56, v62, v53)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Otimes__class_Otimes(v56) = v57) | ~ (hAPP(v60, v52) = v61) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v54) = v60) | ~ class_Rings_Oordered__semiring(v56) | ~ c_Orderings_Oord__class_Oless__eq(v56, v55, v54) | ~ c_Orderings_Oord__class_Oless__eq(v56, v53, v52) | c_Orderings_Oord__class_Oless__eq(v56, v59, v61) | ? [v62] : (c_Groups_Ozero__class_Ozero(v56) = v62 & ( ~ c_Orderings_Oord__class_Oless__eq(v56, v62, v54) | ~ c_Orderings_Oord__class_Oless__eq(v56, v62, v53)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Int_Onumber__class_Onumber__of(v55, v54) = v57) | ~ (c_Groups_Oplus__class_Oplus(v55, v59, v60) = v61) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v58, v52) = v60) | ~ (hAPP(v56, v57) = v58) | ~ class_Rings_Osemiring(v55) | ~ class_Int_Onumber(v55) | ? [v62] : (c_Groups_Oplus__class_Oplus(v55, v53, v52) = v62 & hAPP(v58, v62) = v61)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v58, v60) = v61) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v52) = v59) | ~ class_Rings_Ocomm__semiring__1(v55) | ? [v62] : ? [v63] : (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v62 & hAPP(v63, v53) = v61 & hAPP(v56, v62) = v63)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v58, v60) = v61) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v53) = v59) | ~ class_Rings_Ocomm__semiring(v55) | ? [v62] : ? [v63] : (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v62 & hAPP(v63, v52) = v61 & hAPP(v56, v62) = v63)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v58, v60) = v61) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v53) = v59) | ~ class_Rings_Ocomm__semiring__1(v55) | ? [v62] : ? [v63] : (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v62 & hAPP(v63, v52) = v61 & hAPP(v56, v62) = v63)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v58, v60) = v61) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v53) = v59) | ~ class_RealVector_Oreal__normed__algebra(v55) | ? [v62] : ? [v63] : (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v62 & hAPP(v63, v52) = v61 & hAPP(v56, v62) = v63)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v60, v52) = v61) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v58, v54) = v59) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v53) = v60) | ~ (hAPP(v12, v56) = v57) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v56, v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v56, v52) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v59, v61) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v60, v52) = v61) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v58, v54) = v59) | ~ (hAPP(v57, v55) = v58) | ~ (hAPP(v57, v53) = v60) | ~ (hAPP(v12, v56) = v57) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v56) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, v56) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v59, v61) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v54) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v55, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ! [v61] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v59, v52) = v60) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v57, v60) = v61) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v16, v55) = v56) | ~ (hAPP(v16, v53) = v58) | ? [v62] : ? [v63] : ? [v64] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v64, v52) = v61 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v55, v53) = v62 & hAPP(v63, v54) = v64 & hAPP(v16, v62) = v63)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : (v60 = v56 | ~ (c_Nat_OSuc(v58) = v59) | ~ (c_Groups_Ouminus__class_Ouminus(v53, v55) = v56) | ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (c_Groups_Oone__class_Oone(v53) = v55) | ~ (hAPP(v57, v59) = v60) | ~ (hAPP(v54, v56) = v57) | ~ (hAPP(v20, v52) = v58) | ~ class_Rings_Oring__1(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : (v60 = v15 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v54) = v55) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v57) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v56, v59) = v60) | ~ (hAPP(v16, v57) = v58) | ~ (hAPP(v16, v55) = v56) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, c_Int_OPls)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : (v54 = v52 | ~ (c_Nat_OSuc(v53) = v58) | ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v60, v58) = v59) | ~ (hAPP(v57, v58) = v59) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v52) = v60) | ~ class_Rings_Olinordered__semidom(v55) | ? [v61] : (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ c_Orderings_Oord__class_Oless__eq(v55, v61, v54) | ~ c_Orderings_Oord__class_Oless__eq(v55, v61, v52)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v59, v54) = v60) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v58, v52) = v59) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v54) = v57) | ~ class_Fields_Ofield(v55) | ? [v61] : ? [v62] : ((v62 = v60 & c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v61 & c_Groups_Oplus__class_Oplus(v55, v53, v61) = v60) | (v61 = v54 & c_Groups_Ozero__class_Ozero(v55) = v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v59, v54) = v60) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v53, v58) = v59) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v56, v52) = v57) | ~ class_Fields_Ofield__inverse__zero(v55) | ? [v61] : ? [v62] : ((v62 = v60 & c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v61 & c_Groups_Oplus__class_Oplus(v55, v61, v52) = v60) | (v61 = v54 & c_Groups_Ozero__class_Ozero(v55) = v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v59, v54) = v60) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v53, v58) = v59) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v57) | ~ class_Fields_Ofield(v55) | ? [v61] : ? [v62] : ((v62 = v60 & c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v61 & c_Groups_Oplus__class_Oplus(v55, v61, v52) = v60) | (v61 = v54 & c_Groups_Ozero__class_Ozero(v55) = v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v59, v54) = v60) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v52, v58) = v59) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v56, v53) = v57) | ~ class_Fields_Ofield__inverse__zero(v55) | ? [v61] : ? [v62] : ((v62 = v60 & c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v61 & c_Groups_Oplus__class_Oplus(v55, v53, v61) = v60) | (v61 = v54 & c_Groups_Ozero__class_Ozero(v55) = v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v58, v59) = v60) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ class_Fields_Ofield__inverse__zero(v55) | ? [v61] : ((v61 = v60 & c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v60) | (v61 = v54 & c_Groups_Ozero__class_Ozero(v55) = v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v56) = v57) | ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v55, v53) = v56) | ~ (hAPP(v59, v56) = v60) | ~ (hAPP(v58, v52) = v59) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ~ class_Int_Onumber(v55) | ? [v61] : (( ~ c_Orderings_Oord__class_Oless(v55, v57, v52) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ c_Orderings_Oord__class_Oless(v55, v61, v56) | c_Orderings_Oord__class_Oless(v55, v54, v60)) & (c_Orderings_Oord__class_Oless(v55, v61, v56) | (( ~ c_Orderings_Oord__class_Oless(v55, v56, v61) | c_Orderings_Oord__class_Oless(v55, v60, v54)) & (c_Orderings_Oord__class_Oless(v55, v61, v52) | c_Orderings_Oord__class_Oless(v55, v56, v61)))))) & (c_Orderings_Oord__class_Oless(v55, v57, v52) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ((c_Orderings_Oord__class_Oless(v55, v61, v56) & ~ c_Orderings_Oord__class_Oless(v55, v54, v60)) | ( ~ c_Orderings_Oord__class_Oless(v55, v61, v56) & ((c_Orderings_Oord__class_Oless(v55, v56, v61) & ~ c_Orderings_Oord__class_Oless(v55, v60, v54)) | ( ~ c_Orderings_Oord__class_Oless(v55, v61, v52) & ~ c_Orderings_Oord__class_Oless(v55, v56, v61))))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v56) = v57) | ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v55, v53) = v56) | ~ (hAPP(v59, v56) = v60) | ~ (hAPP(v58, v52) = v59) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ~ class_Int_Onumber(v55) | ? [v61] : (( ~ c_Orderings_Oord__class_Oless__eq(v55, v57, v52) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ c_Orderings_Oord__class_Oless(v55, v61, v56) | c_Orderings_Oord__class_Oless__eq(v55, v54, v60)) & (c_Orderings_Oord__class_Oless(v55, v61, v56) | (( ~ c_Orderings_Oord__class_Oless(v55, v56, v61) | c_Orderings_Oord__class_Oless__eq(v55, v60, v54)) & (c_Orderings_Oord__class_Oless(v55, v56, v61) | c_Orderings_Oord__class_Oless__eq(v55, v61, v52)))))) & (c_Orderings_Oord__class_Oless__eq(v55, v57, v52) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ((c_Orderings_Oord__class_Oless(v55, v61, v56) & ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v60)) | ( ~ c_Orderings_Oord__class_Oless(v55, v61, v56) & ((c_Orderings_Oord__class_Oless(v55, v56, v61) & ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v54)) | ( ~ c_Orderings_Oord__class_Oless(v55, v56, v61) & ~ c_Orderings_Oord__class_Oless__eq(v55, v61, v52))))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v56) = v57) | ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v55, v53) = v56) | ~ (hAPP(v59, v56) = v60) | ~ (hAPP(v58, v52) = v59) | ~ class_Fields_Ofield__inverse__zero(v55) | ~ class_Int_Onumber(v55) | ? [v61] : (( ~ (v57 = v52) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ (v61 = v56) | v56 = v52) & (v61 = v56 | v60 = v54))) & (v57 = v52 | (c_Groups_Ozero__class_Ozero(v55) = v61 & ((v61 = v56 & ~ (v56 = v52)) | ( ~ (v61 = v56) & ~ (v60 = v54))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v53) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v55, v52) = v57) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v58, v57) = v59) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ~ class_Int_Onumber(v55) | ? [v61] : (( ~ c_Orderings_Oord__class_Oless(v55, v56, v57) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ c_Orderings_Oord__class_Oless(v55, v61, v53) | c_Orderings_Oord__class_Oless(v55, v54, v60)) & (c_Orderings_Oord__class_Oless(v55, v61, v53) | (( ~ c_Orderings_Oord__class_Oless(v55, v53, v61) | c_Orderings_Oord__class_Oless(v55, v60, v54)) & (c_Orderings_Oord__class_Oless(v55, v61, v57) | c_Orderings_Oord__class_Oless(v55, v53, v61)))))) & (c_Orderings_Oord__class_Oless(v55, v56, v57) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ((c_Orderings_Oord__class_Oless(v55, v61, v53) & ~ c_Orderings_Oord__class_Oless(v55, v54, v60)) | ( ~ c_Orderings_Oord__class_Oless(v55, v61, v53) & ((c_Orderings_Oord__class_Oless(v55, v53, v61) & ~ c_Orderings_Oord__class_Oless(v55, v60, v54)) | ( ~ c_Orderings_Oord__class_Oless(v55, v61, v57) & ~ c_Orderings_Oord__class_Oless(v55, v53, v61))))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v53) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v55, v52) = v57) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v58, v57) = v59) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ~ class_Int_Onumber(v55) | ? [v61] : (( ~ c_Orderings_Oord__class_Oless__eq(v55, v56, v57) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ c_Orderings_Oord__class_Oless(v55, v61, v53) | c_Orderings_Oord__class_Oless__eq(v55, v54, v60)) & (c_Orderings_Oord__class_Oless(v55, v61, v53) | (( ~ c_Orderings_Oord__class_Oless(v55, v53, v61) | c_Orderings_Oord__class_Oless__eq(v55, v60, v54)) & (c_Orderings_Oord__class_Oless(v55, v53, v61) | c_Orderings_Oord__class_Oless__eq(v55, v61, v57)))))) & (c_Orderings_Oord__class_Oless__eq(v55, v56, v57) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ((c_Orderings_Oord__class_Oless(v55, v61, v53) & ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v60)) | ( ~ c_Orderings_Oord__class_Oless(v55, v61, v53) & ((c_Orderings_Oord__class_Oless(v55, v53, v61) & ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v54)) | ( ~ c_Orderings_Oord__class_Oless(v55, v53, v61) & ~ c_Orderings_Oord__class_Oless__eq(v55, v61, v57))))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v53) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v55, v52) = v57) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v58, v57) = v59) | ~ class_Fields_Ofield__inverse__zero(v55) | ~ class_Int_Onumber(v55) | ? [v61] : (( ~ (v57 = v56) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ (v61 = v53) | v56 = v53) & (v61 = v53 | v60 = v54))) & (v57 = v56 | (c_Groups_Ozero__class_Ozero(v55) = v61 & ((v61 = v53 & ~ (v57 = v53)) | ( ~ (v61 = v53) & ~ (v60 = v54))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v56) = v57) | ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v55, v52) = v56) | ~ (hAPP(v59, v56) = v60) | ~ (hAPP(v58, v54) = v59) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ~ class_Int_Onumber(v55) | ? [v61] : (( ~ c_Orderings_Oord__class_Oless(v55, v54, v57) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ c_Orderings_Oord__class_Oless(v55, v61, v56) | c_Orderings_Oord__class_Oless(v55, v60, v53)) & (c_Orderings_Oord__class_Oless(v55, v61, v56) | (( ~ c_Orderings_Oord__class_Oless(v55, v56, v61) | c_Orderings_Oord__class_Oless(v55, v53, v60)) & (c_Orderings_Oord__class_Oless(v55, v56, v61) | c_Orderings_Oord__class_Oless(v55, v54, v61)))))) & (c_Orderings_Oord__class_Oless(v55, v54, v57) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ((c_Orderings_Oord__class_Oless(v55, v61, v56) & ~ c_Orderings_Oord__class_Oless(v55, v60, v53)) | ( ~ c_Orderings_Oord__class_Oless(v55, v61, v56) & ((c_Orderings_Oord__class_Oless(v55, v56, v61) & ~ c_Orderings_Oord__class_Oless(v55, v53, v60)) | ( ~ c_Orderings_Oord__class_Oless(v55, v56, v61) & ~ c_Orderings_Oord__class_Oless(v55, v54, v61))))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v56) = v57) | ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v55, v52) = v56) | ~ (hAPP(v59, v56) = v60) | ~ (hAPP(v58, v54) = v59) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ~ class_Int_Onumber(v55) | ? [v61] : (( ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v57) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ c_Orderings_Oord__class_Oless(v55, v61, v56) | c_Orderings_Oord__class_Oless__eq(v55, v60, v53)) & (c_Orderings_Oord__class_Oless(v55, v61, v56) | (( ~ c_Orderings_Oord__class_Oless(v55, v56, v61) | c_Orderings_Oord__class_Oless__eq(v55, v53, v60)) & (c_Orderings_Oord__class_Oless(v55, v56, v61) | c_Orderings_Oord__class_Oless__eq(v55, v54, v61)))))) & (c_Orderings_Oord__class_Oless__eq(v55, v54, v57) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ((c_Orderings_Oord__class_Oless(v55, v61, v56) & ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v53)) | ( ~ c_Orderings_Oord__class_Oless(v55, v61, v56) & ((c_Orderings_Oord__class_Oless(v55, v56, v61) & ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v60)) | ( ~ c_Orderings_Oord__class_Oless(v55, v56, v61) & ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v61))))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v56) = v57) | ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v55, v52) = v56) | ~ (hAPP(v59, v56) = v60) | ~ (hAPP(v58, v54) = v59) | ~ class_Fields_Ofield__inverse__zero(v55) | ~ class_Int_Onumber(v55) | ? [v61] : (( ~ (v57 = v54) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ (v61 = v56) | v56 = v54) & (v61 = v56 | v60 = v53))) & (v57 = v54 | (c_Groups_Ozero__class_Ozero(v55) = v61 & ((v61 = v56 & ~ (v56 = v54)) | ( ~ (v61 = v56) & ~ (v60 = v53))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v57) | ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v55, v54) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v58, v56) = v59) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ~ class_Int_Onumber(v55) | ? [v61] : (( ~ c_Orderings_Oord__class_Oless(v55, v56, v57) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ c_Orderings_Oord__class_Oless(v55, v61, v52) | c_Orderings_Oord__class_Oless(v55, v60, v53)) & (c_Orderings_Oord__class_Oless(v55, v61, v52) | (( ~ c_Orderings_Oord__class_Oless(v55, v52, v61) | c_Orderings_Oord__class_Oless(v55, v53, v60)) & (c_Orderings_Oord__class_Oless(v55, v56, v61) | c_Orderings_Oord__class_Oless(v55, v52, v61)))))) & (c_Orderings_Oord__class_Oless(v55, v56, v57) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ((c_Orderings_Oord__class_Oless(v55, v61, v52) & ~ c_Orderings_Oord__class_Oless(v55, v60, v53)) | ( ~ c_Orderings_Oord__class_Oless(v55, v61, v52) & ((c_Orderings_Oord__class_Oless(v55, v52, v61) & ~ c_Orderings_Oord__class_Oless(v55, v53, v60)) | ( ~ c_Orderings_Oord__class_Oless(v55, v56, v61) & ~ c_Orderings_Oord__class_Oless(v55, v52, v61))))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v57) | ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v55, v54) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v58, v56) = v59) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ~ class_Int_Onumber(v55) | ? [v61] : (( ~ c_Orderings_Oord__class_Oless__eq(v55, v56, v57) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ c_Orderings_Oord__class_Oless(v55, v61, v52) | c_Orderings_Oord__class_Oless__eq(v55, v60, v53)) & (c_Orderings_Oord__class_Oless(v55, v61, v52) | (( ~ c_Orderings_Oord__class_Oless(v55, v52, v61) | c_Orderings_Oord__class_Oless__eq(v55, v53, v60)) & (c_Orderings_Oord__class_Oless(v55, v52, v61) | c_Orderings_Oord__class_Oless__eq(v55, v56, v61)))))) & (c_Orderings_Oord__class_Oless__eq(v55, v56, v57) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ((c_Orderings_Oord__class_Oless(v55, v61, v52) & ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v53)) | ( ~ c_Orderings_Oord__class_Oless(v55, v61, v52) & ((c_Orderings_Oord__class_Oless(v55, v52, v61) & ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v60)) | ( ~ c_Orderings_Oord__class_Oless(v55, v52, v61) & ~ c_Orderings_Oord__class_Oless__eq(v55, v56, v61))))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v57) | ~ (c_Groups_Otimes__class_Otimes(v55) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v55, v54) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v58, v56) = v59) | ~ class_Fields_Ofield__inverse__zero(v55) | ~ class_Int_Onumber(v55) | ? [v61] : (( ~ (v57 = v56) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ( ~ (v61 = v52) | v56 = v52) & (v61 = v52 | v60 = v53))) & (v57 = v56 | (c_Groups_Ozero__class_Ozero(v55) = v61 & ((v61 = v52 & ~ (v56 = v52)) | ( ~ (v61 = v52) & ~ (v60 = v53))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v54, v23) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v57, v59) = v60) | ~ (hAPP(v58, v3) = v59) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v7, v53) = v56) | ~ (hAPP(v7, v52) = v58) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v55) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v52, v55) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v52) | ? [v61] : (c_NthRoot_Osqrt(v60) = v61 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v61, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v59) = v60) | ~ (c_NthRoot_Osqrt(v58) = v59) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v58) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v54, v3) = v55) | ~ (hAPP(v7, v53) = v54) | ~ (hAPP(v7, v52) = v56) | ? [v61] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v60) = v61 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v61, v0))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v33) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v57, v59) = v60) | ~ (hAPP(v58, v3) = v59) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v7, v54) = v56) | ~ (hAPP(v7, v52) = v58) | ? [v61] : ((c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v54) = v61 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v61, v55)) | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v52) = v61 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v61, v55)) | (c_NthRoot_Osqrt(v60) = v61 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v61, v53)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v58, v59) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ class_Rings_Ocomm__semiring__1(v55) | ? [v61] : (c_Groups_Oplus__class_Oplus(v55, v53, v52) = v61 & hAPP(v57, v61) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v58, v59) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ class_RealVector_Oreal__normed__algebra(v55) | ? [v61] : (c_Groups_Oplus__class_Oplus(v55, v53, v52) = v61 & hAPP(v57, v61) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v52) = v59) | ~ class_Rings_Olinordered__semiring(v55) | ~ c_Orderings_Oord__class_Oless(v55, v58, v60) | c_Orderings_Oord__class_Oless(v55, v54, v52) | ? [v61] : (c_Groups_Ozero__class_Ozero(v55) = v61 & ~ c_Orderings_Oord__class_Oless__eq(v55, v61, v53))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v52) = v59) | ~ class_Rings_Olinordered__semiring__strict(v55) | ~ c_Orderings_Oord__class_Oless(v55, v58, v60) | c_Orderings_Oord__class_Oless(v55, v54, v52) | ? [v61] : (c_Groups_Ozero__class_Ozero(v55) = v61 & ~ c_Orderings_Oord__class_Oless__eq(v55, v61, v53))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v52) = v59) | ~ class_Rings_Olinordered__semiring__strict(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v58, v60) | c_Orderings_Oord__class_Oless__eq(v55, v54, v52) | ? [v61] : (c_Groups_Ozero__class_Ozero(v55) = v61 & ~ c_Orderings_Oord__class_Oless(v55, v61, v53))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v52) = v59) | ~ class_Rings_Olinordered__ring__strict(v55) | ? [v61] : (( ~ c_Orderings_Oord__class_Oless(v55, v58, v60) | (c_Groups_Ozero__class_Ozero(v55) = v61 & c_Orderings_Oord__class_Oless(v55, v61, v53) & c_Orderings_Oord__class_Oless(v55, v54, v52)) | (c_Groups_Ozero__class_Ozero(v55) = v61 & c_Orderings_Oord__class_Oless(v55, v53, v61) & c_Orderings_Oord__class_Oless(v55, v52, v54))) & (c_Orderings_Oord__class_Oless(v55, v58, v60) | (( ~ c_Orderings_Oord__class_Oless(v55, v54, v52) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ~ c_Orderings_Oord__class_Oless(v55, v61, v53))) & ( ~ c_Orderings_Oord__class_Oless(v55, v52, v54) | (c_Groups_Ozero__class_Ozero(v55) = v61 & ~ c_Orderings_Oord__class_Oless(v55, v53, v61))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v58) = v59) | ~ (hAPP(v56, v54) = v57) | ~ class_Rings_Ocomm__semiring__1(v55) | ? [v61] : ? [v62] : (hAPP(v62, v52) = v60 & hAPP(v57, v53) = v61 & hAPP(v56, v61) = v62)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v58) = v59) | ~ (hAPP(v56, v54) = v57) | ~ class_Groups_Oab__semigroup__mult(v55) | ? [v61] : ? [v62] : (hAPP(v61, v52) = v62 & hAPP(v57, v62) = v60 & hAPP(v56, v53) = v61)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v58) = v59) | ~ (hAPP(v56, v54) = v57) | ~ class_Rings_Ocomm__semiring__1(v55) | ? [v61] : ? [v62] : (hAPP(v61, v52) = v62 & hAPP(v57, v62) = v60 & hAPP(v56, v53) = v61)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v59) | ~ (hAPP(v56, v53) = v57) | ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | ~ class_Rings_Olinordered__ring__strict(v55) | c_Orderings_Oord__class_Oless(v55, v58, v60) | ? [v61] : (c_Groups_Ozero__class_Ozero(v55) = v61 & ~ c_Orderings_Oord__class_Oless(v55, v52, v61))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v59) | ~ (hAPP(v56, v53) = v57) | ~ class_Rings_Oordered__ring(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | c_Orderings_Oord__class_Oless__eq(v55, v58, v60) | ? [v61] : (c_Groups_Ozero__class_Ozero(v55) = v61 & ~ c_Orderings_Oord__class_Oless__eq(v55, v52, v61))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v53) = v59) | ~ class_Rings_Olinordered__semiring__strict(v55) | ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | c_Orderings_Oord__class_Oless(v55, v58, v60) | ? [v61] : (c_Groups_Ozero__class_Ozero(v55) = v61 & ~ c_Orderings_Oord__class_Oless(v55, v61, v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v53) = v59) | ~ class_Rings_Oordered__semiring(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | c_Orderings_Oord__class_Oless__eq(v55, v58, v60) | ? [v61] : (c_Groups_Ozero__class_Ozero(v55) = v61 & ~ c_Orderings_Oord__class_Oless__eq(v55, v61, v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v58, v59) = v60) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v53) = v58) | ~ class_Rings_Ocomm__semiring__1(v55) | ? [v61] : (hAPP(v58, v52) = v61 & hAPP(v57, v61) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v58) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v59, v57) = v60) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semidom(v54) | c_Orderings_Oord__class_Oless(v54, v57, v60) | ? [v61] : (c_Groups_Oone__class_Oone(v54) = v61 & ~ c_Orderings_Oord__class_Oless(v54, v61, v53))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v57) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v57, v58) = v59) | ~ (hAPP(v56, v52) = v58) | ~ (hAPP(v55, v53) = v56) | ~ class_Groups_Omonoid__mult(v54) | ? [v61] : (c_Nat_OSuc(v52) = v61 & hAPP(v56, v61) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v57) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v58, v59) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v52) = v59) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Ocomm__semiring__1(v54) | ? [v61] : (c_Nat_OSuc(v52) = v61 & hAPP(v56, v61) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v57) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v58, v59) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v52) = v59) | ~ (hAPP(v55, v53) = v56) | ~ class_Power_Opower(v54) | ? [v61] : (c_Nat_OSuc(v52) = v61 & hAPP(v56, v61) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(v54, v57, v59) = v60) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ class_Rings_Olinordered__ring(v54) | ? [v61] : (c_Groups_Ozero__class_Ozero(v54) = v61 & c_Orderings_Oord__class_Oless__eq(v54, v61, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(v54, v57, v59) = v60) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ class_Rings_Olinordered__ring(v54) | ? [v61] : (c_Groups_Ozero__class_Ozero(v54) = v61 & ~ c_Orderings_Oord__class_Oless(v54, v60, v61))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(v54, v57, v59) = v60) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ class_Rings_Olinordered__ring__strict(v54) | ? [v61] : (c_Groups_Ozero__class_Ozero(v54) = v61 & ( ~ (v61 = v60) | (v60 = v52 & v53 = v52)) & ( ~ (v61 = v52) | ~ (v53 = v52) | v60 = v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(v54, v57, v59) = v60) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ class_Rings_Olinordered__ring__strict(v54) | ? [v61] : (c_Groups_Ozero__class_Ozero(v54) = v61 & ( ~ (v61 = v52) | ~ (v53 = v52) | ~ c_Orderings_Oord__class_Oless(v54, v52, v60)) & (c_Orderings_Oord__class_Oless(v54, v61, v60) | (v61 = v52 & v53 = v52)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(v54, v57, v59) = v60) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ class_Rings_Olinordered__ring__strict(v54) | ? [v61] : (c_Groups_Ozero__class_Ozero(v54) = v61 & ( ~ (v61 = v52) | ~ (v53 = v52) | c_Orderings_Oord__class_Oless__eq(v54, v60, v52)) & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v60, v61) | (v61 = v52 & v53 = v52)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Power_Opower__class_Opower(v54) = v57) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v59) = v60) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semidom(v54) | c_Orderings_Oord__class_Oless(v54, v60, v59) | ? [v61] : ((c_Groups_Ozero__class_Ozero(v54) = v61 & ~ c_Orderings_Oord__class_Oless(v54, v61, v53)) | (c_Groups_Oone__class_Oone(v54) = v61 & ~ c_Orderings_Oord__class_Oless(v54, v53, v61)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Power_Opower__class_Opower(v54) = v57) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v59) = v60) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semidom(v54) | ? [v61] : (c_Groups_Oone__class_Oone(v54) = v61 & ( ~ c_Orderings_Oord__class_Oless(v54, v61, v53) | c_Orderings_Oord__class_Oless(v54, v61, v60)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Power_Opower__class_Opower(v54) = v57) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v59) = v60) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Ocomm__semiring__1(v54) | ? [v61] : (c_Nat_OSuc(v52) = v61 & hAPP(v58, v61) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Power_Opower__class_Opower(v54) = v56) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v55, v58) = v59) | ~ class_Rings_Ocomm__semiring__1(v54) | ? [v61] : (c_Nat_OSuc(v52) = v61 & hAPP(v57, v61) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Power_Opower__class_Opower(v54) = v56) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v55, v58) = v59) | ~ class_Groups_Omonoid__mult(v54) | ? [v61] : (hAPP(v61, v58) = v60 & hAPP(v55, v53) = v61)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v54) = v55) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v57) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v56, v59) = v60) | ~ (hAPP(v16, v57) = v58) | ~ (hAPP(v16, v55) = v56) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, c_Int_OPls) | ? [v61] : ? [v62] : ? [v63] : ? [v64] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v62) = v63 & hAPP(v64, v52) = v60 & hAPP(v61, v53) = v62 & hAPP(v16, v63) = v64 & hAPP(v12, v54) = v61)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v57, v59) = v60) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v58, v3) = v59) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ class_Rings_Olinordered__idom(v54) | ? [v61] : (c_Groups_Ozero__class_Ozero(v54) = v61 & c_Orderings_Oord__class_Oless__eq(v54, v61, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v57, v59) = v60) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v58, v3) = v59) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ class_Rings_Olinordered__idom(v54) | ? [v61] : (c_Groups_Ozero__class_Ozero(v54) = v61 & ~ c_Orderings_Oord__class_Oless(v54, v60, v61))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v57, v59) = v60) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v58, v3) = v59) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ class_Rings_Olinordered__idom(v54) | ? [v61] : (c_Groups_Ozero__class_Ozero(v54) = v61 & ( ~ (v61 = v60) | (v60 = v52 & v53 = v52)) & ( ~ (v61 = v52) | ~ (v53 = v52) | v60 = v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v57, v59) = v60) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v58, v3) = v59) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ class_Rings_Olinordered__idom(v54) | ? [v61] : (c_Groups_Ozero__class_Ozero(v54) = v61 & ( ~ (v61 = v52) | ~ (v53 = v52) | ~ c_Orderings_Oord__class_Oless(v54, v52, v60)) & (c_Orderings_Oord__class_Oless(v54, v61, v60) | (v61 = v52 & v53 = v52)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v57, v59) = v60) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v58, v3) = v59) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ class_Rings_Olinordered__idom(v54) | ? [v61] : (c_Groups_Ozero__class_Ozero(v54) = v61 & ( ~ (v61 = v52) | ~ (v53 = v52) | c_Orderings_Oord__class_Oless__eq(v54, v60, v52)) & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v60, v61) | (v61 = v52 & v53 = v52)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v59, v53) = v60) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v52) = v59) | ~ c_Orderings_Oord__class_Oless(v55, v58, v60) | ~ class_Rings_Olinordered__semidom(v55) | c_Orderings_Oord__class_Oless(v55, v54, v52) | ? [v61] : (c_Groups_Ozero__class_Ozero(v55) = v61 & ~ c_Orderings_Oord__class_Oless__eq(v55, v61, v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v53) = v59) | ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v52) | ~ class_Rings_Olinordered__semidom(v55) | c_Orderings_Oord__class_Oless(v55, v58, v60) | ? [v61] : (c_Groups_Ozero__class_Ozero(v55) = v61 & ~ c_Orderings_Oord__class_Oless__eq(v55, v61, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v59, v52) = v60) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v53) = v59) | ~ class_Rings_Olinordered__semidom(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | c_Orderings_Oord__class_Oless__eq(v55, v58, v60) | ? [v61] : (c_Groups_Ozero__class_Ozero(v55) = v61 & ~ c_Orderings_Oord__class_Oless__eq(v55, v61, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v57, v59) = v60) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v16, v53) = v58) | ~ class_Rings_Ocomm__semiring__1(v55) | ? [v61] : ? [v62] : (hAPP(v62, v52) = v60 & hAPP(v57, v53) = v61 & hAPP(v56, v61) = v62)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ! [v60] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v57, v59) = v60) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v16, v53) = v58) | ~ class_Groups_Omonoid__mult(v55) | ? [v61] : ? [v62] : (hAPP(v62, v52) = v60 & hAPP(v57, v53) = v61 & hAPP(v56, v61) = v62)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v59 = v55 | ~ (c_Nat_OSuc(v57) = v58) | ~ (c_Int_Onumber__class_Onumber__of(v53, c_Int_OMin) = v55) | ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v56, v58) = v59) | ~ (hAPP(v54, v55) = v56) | ~ (hAPP(v20, v52) = v57) | ~ class_Int_Onumber__ring(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v59 = v55 | ~ (c_Groups_Ouminus__class_Ouminus(v53, v55) = v56) | ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (c_Groups_Oone__class_Oone(v53) = v55) | ~ (hAPP(v57, v58) = v59) | ~ (hAPP(v54, v56) = v57) | ~ (hAPP(v20, v52) = v58) | ~ class_Rings_Oring__1(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : (v54 = v52 | ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v59, v53) = v58) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v56, v52) = v59) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53) | ~ class_Rings_Olinordered__semidom(v55) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ( ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v54) | ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v52)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v58, v52) = v59) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v54) = v57) | ~ class_Rings_Odivision__ring(v55) | ? [v60] : (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v60 & hAPP(v57, v60) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v53) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v57, v52) = v58) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ? [v60] : (( ~ c_Orderings_Oord__class_Oless(v55, v56, v52) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ( ~ c_Orderings_Oord__class_Oless(v55, v60, v53) | c_Orderings_Oord__class_Oless(v55, v54, v59)) & (c_Orderings_Oord__class_Oless(v55, v60, v53) | (( ~ c_Orderings_Oord__class_Oless(v55, v53, v60) | c_Orderings_Oord__class_Oless(v55, v59, v54)) & (c_Orderings_Oord__class_Oless(v55, v60, v52) | c_Orderings_Oord__class_Oless(v55, v53, v60)))))) & (c_Orderings_Oord__class_Oless(v55, v56, v52) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ((c_Orderings_Oord__class_Oless(v55, v60, v53) & ~ c_Orderings_Oord__class_Oless(v55, v54, v59)) | ( ~ c_Orderings_Oord__class_Oless(v55, v60, v53) & ((c_Orderings_Oord__class_Oless(v55, v53, v60) & ~ c_Orderings_Oord__class_Oless(v55, v59, v54)) | ( ~ c_Orderings_Oord__class_Oless(v55, v60, v52) & ~ c_Orderings_Oord__class_Oless(v55, v53, v60))))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v53) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v57, v52) = v58) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ? [v60] : (( ~ c_Orderings_Oord__class_Oless__eq(v55, v56, v52) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ( ~ c_Orderings_Oord__class_Oless(v55, v60, v53) | c_Orderings_Oord__class_Oless__eq(v55, v54, v59)) & (c_Orderings_Oord__class_Oless(v55, v60, v53) | (( ~ c_Orderings_Oord__class_Oless(v55, v53, v60) | c_Orderings_Oord__class_Oless__eq(v55, v59, v54)) & (c_Orderings_Oord__class_Oless(v55, v53, v60) | c_Orderings_Oord__class_Oless__eq(v55, v60, v52)))))) & (c_Orderings_Oord__class_Oless__eq(v55, v56, v52) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ((c_Orderings_Oord__class_Oless(v55, v60, v53) & ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v59)) | ( ~ c_Orderings_Oord__class_Oless(v55, v60, v53) & ((c_Orderings_Oord__class_Oless(v55, v53, v60) & ~ c_Orderings_Oord__class_Oless__eq(v55, v59, v54)) | ( ~ c_Orderings_Oord__class_Oless(v55, v53, v60) & ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v52))))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v53) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v57, v52) = v58) | ~ class_Fields_Ofield__inverse__zero(v55) | ? [v60] : (( ~ (v56 = v52) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ( ~ (v60 = v53) | v53 = v52) & (v60 = v53 | v59 = v54))) & (v56 = v52 | (c_Groups_Ozero__class_Ozero(v55) = v60 & ((v60 = v53 & ~ (v53 = v52)) | ( ~ (v60 = v53) & ~ (v59 = v54))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v59) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v56, v52) = v57) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v53, v58) | c_Orderings_Oord__class_Oless(v55, v59, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v59) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v56, v52) = v57) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v58) | c_Orderings_Oord__class_Oless__eq(v55, v59, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v52) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v59, v53) | c_Orderings_Oord__class_Oless(v55, v56, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v52) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v56, v52) | c_Orderings_Oord__class_Oless(v55, v59, v53) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v52) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v56, v52) | c_Orderings_Oord__class_Oless(v55, v53, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v52) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v53, v59) | c_Orderings_Oord__class_Oless(v55, v56, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v52) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v59, v53) | c_Orderings_Oord__class_Oless__eq(v55, v56, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v52) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v56, v52) | c_Orderings_Oord__class_Oless__eq(v55, v59, v53) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v52) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v56, v52) | c_Orderings_Oord__class_Oless__eq(v55, v53, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v52) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v59) | c_Orderings_Oord__class_Oless__eq(v55, v56, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v57, v54) = v58) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ? [v60] : (( ~ c_Orderings_Oord__class_Oless(v55, v54, v56) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ( ~ c_Orderings_Oord__class_Oless(v55, v60, v52) | c_Orderings_Oord__class_Oless(v55, v59, v53)) & (c_Orderings_Oord__class_Oless(v55, v60, v52) | (( ~ c_Orderings_Oord__class_Oless(v55, v52, v60) | c_Orderings_Oord__class_Oless(v55, v53, v59)) & (c_Orderings_Oord__class_Oless(v55, v54, v60) | c_Orderings_Oord__class_Oless(v55, v52, v60)))))) & (c_Orderings_Oord__class_Oless(v55, v54, v56) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ((c_Orderings_Oord__class_Oless(v55, v60, v52) & ~ c_Orderings_Oord__class_Oless(v55, v59, v53)) | ( ~ c_Orderings_Oord__class_Oless(v55, v60, v52) & ((c_Orderings_Oord__class_Oless(v55, v52, v60) & ~ c_Orderings_Oord__class_Oless(v55, v53, v59)) | ( ~ c_Orderings_Oord__class_Oless(v55, v54, v60) & ~ c_Orderings_Oord__class_Oless(v55, v52, v60))))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v57, v54) = v58) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ? [v60] : (( ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v56) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ( ~ c_Orderings_Oord__class_Oless(v55, v60, v52) | c_Orderings_Oord__class_Oless__eq(v55, v59, v53)) & (c_Orderings_Oord__class_Oless(v55, v60, v52) | (( ~ c_Orderings_Oord__class_Oless(v55, v52, v60) | c_Orderings_Oord__class_Oless__eq(v55, v53, v59)) & (c_Orderings_Oord__class_Oless(v55, v52, v60) | c_Orderings_Oord__class_Oless__eq(v55, v54, v60)))))) & (c_Orderings_Oord__class_Oless__eq(v55, v54, v56) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ((c_Orderings_Oord__class_Oless(v55, v60, v52) & ~ c_Orderings_Oord__class_Oless__eq(v55, v59, v53)) | ( ~ c_Orderings_Oord__class_Oless(v55, v60, v52) & ((c_Orderings_Oord__class_Oless(v55, v52, v60) & ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v59)) | ( ~ c_Orderings_Oord__class_Oless(v55, v52, v60) & ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v60))))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v57, v54) = v58) | ~ class_Fields_Ofield__inverse__zero(v55) | ? [v60] : (( ~ (v56 = v54) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ( ~ (v60 = v52) | v54 = v52) & (v60 = v52 | v59 = v53))) & (v56 = v54 | (c_Groups_Ozero__class_Ozero(v55) = v60 & ((v60 = v52 & ~ (v54 = v52)) | ( ~ (v60 = v52) & ~ (v59 = v53))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v59) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v56, v53) = v57) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v58, v52) | c_Orderings_Oord__class_Oless(v55, v53, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v59) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v56, v53) = v57) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v58, v52) | c_Orderings_Oord__class_Oless__eq(v55, v53, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v59, v52) | c_Orderings_Oord__class_Oless(v55, v53, v56) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v53, v56) | c_Orderings_Oord__class_Oless(v55, v59, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v53, v56) | c_Orderings_Oord__class_Oless(v55, v52, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v52, v59) | c_Orderings_Oord__class_Oless(v55, v53, v56) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v59, v52) | c_Orderings_Oord__class_Oless__eq(v55, v53, v56) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v56) | c_Orderings_Oord__class_Oless__eq(v55, v59, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v56) | c_Orderings_Oord__class_Oless__eq(v55, v52, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v52, v59) | c_Orderings_Oord__class_Oless__eq(v55, v53, v56) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v53) = v59) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v56, v53) = v57) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | ? [v60] : ((c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v60 & c_Orderings_Oord__class_Oless(v55, v59, v60)) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ( ~ c_Orderings_Oord__class_Oless(v55, v60, v58) | ~ c_Orderings_Oord__class_Oless(v55, v60, v52))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v53) = v59) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v56, v53) = v57) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | ? [v60] : ((c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v60 & c_Orderings_Oord__class_Oless__eq(v55, v59, v60)) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ( ~ c_Orderings_Oord__class_Oless(v55, v60, v58) | ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v52))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v53) = v59) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v54) = v57) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | ? [v60] : ((c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v60 & c_Orderings_Oord__class_Oless(v55, v60, v59)) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ( ~ c_Orderings_Oord__class_Oless(v55, v60, v58) | ~ c_Orderings_Oord__class_Oless(v55, v52, v60))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v53) = v59) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v54) = v57) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | ? [v60] : ((c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v60 & c_Orderings_Oord__class_Oless__eq(v55, v60, v59)) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ( ~ c_Orderings_Oord__class_Oless(v55, v60, v58) | ~ c_Orderings_Oord__class_Oless__eq(v55, v52, v60))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v55, v58) = v59) | ~ (c_Power_Opower__class_Opower(v54) = v56) | ~ (c_Groups_Oone__class_Oone(v54) = v55) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v53) = v57) | ~ class_Fields_Ofield__inverse__zero(v54) | ? [v60] : ? [v61] : (c_Rings_Oinverse__class_Odivide(v54, v55, v53) = v60 & hAPP(v61, v52) = v59 & hAPP(v56, v60) = v61)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (tc_fun(v55, v56) = v57) | ~ (hAPP(v54, v52) = v58) | ~ (hAPP(v53, v52) = v59) | ~ class_Orderings_Oord(v56) | ~ c_Orderings_Oord__class_Oless__eq(v57, v54, v53) | c_Orderings_Oord__class_Oless__eq(v56, v58, v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Nat_OSuc(v57) = v58) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v58) = v59) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v20, v52) = v57) | ~ class_Rings_Ocomm__semiring__1(v54) | ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : (c_Groups_Otimes__class_Otimes(v54) = v60 & hAPP(v63, v62) = v64 & hAPP(v61, v64) = v59 & hAPP(v60, v62) = v63 & hAPP(v60, v53) = v61 & hAPP(v56, v52) = v62)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Nat_OSuc(v57) = v58) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v58) = v59) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v20, v52) = v57) | ~ class_Rings_Olinordered__idom(v54) | ? [v60] : (c_Groups_Ozero__class_Ozero(v54) = v60 & ( ~ c_Orderings_Oord__class_Oless(v54, v53, v60) | c_Orderings_Oord__class_Oless(v54, v59, v60)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Nat_OSuc(v57) = v58) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v58) = v59) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v20, v52) = v57) | ~ class_Rings_Olinordered__idom(v54) | ? [v60] : (c_Groups_Ozero__class_Ozero(v54) = v60 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v60, v59) | c_Orderings_Oord__class_Oless__eq(v54, v60, v53)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v56) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v58) | ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v57, v58) = v59) | ~ (hAPP(v55, v56) = v57) | ~ class_Rings_Oring(v54) | ? [v60] : (hAPP(v60, v52) = v59 & hAPP(v55, v53) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v56) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v57, v58) = v59) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v20, v52) = v58) | ~ class_Rings_Oring__1(v54) | ? [v60] : (hAPP(v60, v58) = v59 & hAPP(v55, v53) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v53) = v56) | ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v54, v56) = v57) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v55, v57) = v58) | ~ class_Int_Onumber__ring(v54) | ? [v60] : ? [v61] : ? [v62] : (c_Groups_Ouminus__class_Ouminus(v54, v60) = v61 & c_Int_Onumber__class_Onumber__of(v54, v53) = v60 & hAPP(v62, v52) = v59 & hAPP(v55, v61) = v62)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v52) = v57) | ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | ~ class_Rings_Olinordered__ring__strict(v55) | c_Orderings_Oord__class_Oless(v55, v58, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v52, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v52) = v57) | ~ class_Rings_Oordered__ring(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | c_Orderings_Oord__class_Oless__eq(v55, v58, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless__eq(v55, v52, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v57, v53) = v59) | ~ (hAPP(v56, v52) = v57) | ~ class_Rings_Olinordered__semiring__strict(v55) | ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | c_Orderings_Oord__class_Oless(v55, v58, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v57, v53) = v59) | ~ (hAPP(v56, v52) = v57) | ~ class_Rings_Olinordered__comm__semiring__strict(v55) | ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | c_Orderings_Oord__class_Oless(v55, v58, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v57, v53) = v59) | ~ (hAPP(v56, v52) = v57) | ~ class_Rings_Oordered__comm__semiring(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | c_Orderings_Oord__class_Oless__eq(v55, v58, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v57, v53) = v59) | ~ (hAPP(v56, v52) = v57) | ~ class_Rings_Oordered__semiring(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | c_Orderings_Oord__class_Oless__eq(v55, v58, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ class_Rings_Olinordered__semiring(v55) | ~ c_Orderings_Oord__class_Oless(v55, v58, v59) | c_Orderings_Oord__class_Oless(v55, v53, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ class_Rings_Olinordered__semiring__strict(v55) | ~ c_Orderings_Oord__class_Oless(v55, v58, v59) | c_Orderings_Oord__class_Oless(v55, v53, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ class_Rings_Olinordered__semiring__strict(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v58, v59) | c_Orderings_Oord__class_Oless__eq(v55, v53, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ c_Orderings_Oord__class_Oless(v55, v58, v59) | ~ class_Rings_Olinordered__ring__strict(v55) | c_Orderings_Oord__class_Oless(v55, v53, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ c_Orderings_Oord__class_Oless(v55, v58, v59) | ~ class_Rings_Olinordered__ring__strict(v55) | c_Orderings_Oord__class_Oless(v55, v52, v53) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ c_Orderings_Oord__class_Oless(v55, v53, v52) | ~ class_Rings_Olinordered__ring__strict(v55) | c_Orderings_Oord__class_Oless(v55, v58, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ c_Orderings_Oord__class_Oless(v55, v52, v53) | ~ class_Rings_Olinordered__ring__strict(v55) | c_Orderings_Oord__class_Oless(v55, v58, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ c_Orderings_Oord__class_Oless__eq(v55, v58, v59) | ~ class_Rings_Olinordered__ring__strict(v55) | c_Orderings_Oord__class_Oless__eq(v55, v53, v52) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ c_Orderings_Oord__class_Oless__eq(v55, v58, v59) | ~ class_Rings_Olinordered__ring__strict(v55) | c_Orderings_Oord__class_Oless__eq(v55, v52, v53) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v52) | ~ class_Rings_Olinordered__ring__strict(v55) | c_Orderings_Oord__class_Oless__eq(v55, v58, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ c_Orderings_Oord__class_Oless__eq(v55, v52, v53) | ~ class_Rings_Olinordered__ring__strict(v55) | c_Orderings_Oord__class_Oless__eq(v55, v58, v59) | ? [v60] : (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ class_Rings_Olinordered__ring__strict(v55) | ? [v60] : (( ~ c_Orderings_Oord__class_Oless(v55, v58, v59) | (c_Groups_Ozero__class_Ozero(v55) = v60 & c_Orderings_Oord__class_Oless(v55, v60, v54) & c_Orderings_Oord__class_Oless(v55, v53, v52)) | (c_Groups_Ozero__class_Ozero(v55) = v60 & c_Orderings_Oord__class_Oless(v55, v54, v60) & c_Orderings_Oord__class_Oless(v55, v52, v53))) & (c_Orderings_Oord__class_Oless(v55, v58, v59) | (( ~ c_Orderings_Oord__class_Oless(v55, v53, v52) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ( ~ c_Orderings_Oord__class_Oless(v55, v52, v53) | (c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v54, v60))))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v54, v53) = v56) | ~ (c_Int_Onumber__class_Onumber__of(v54, v52) = v58) | ~ (hAPP(v57, v58) = v59) | ~ (hAPP(v55, v56) = v57) | ~ class_Int_Onumber__ring(v54) | ? [v60] : ? [v61] : (c_Int_Onumber__class_Onumber__of(v54, v61) = v59 & hAPP(v60, v52) = v61 & hAPP(v12, v53) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(v54, v53, v56) = v57) | ~ (c_Groups_Oone__class_Oone(v54) = v56) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v55, v57) = v58) | ~ class_Rings_Ocomm__semiring__1(v54) | ? [v60] : ? [v61] : (c_Groups_Oplus__class_Oplus(v54, v61, v52) = v59 & hAPP(v60, v52) = v61 & hAPP(v55, v53) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(v54, v52, v56) = v57) | ~ (c_Groups_Oone__class_Oone(v54) = v56) | ~ (hAPP(v58, v53) = v59) | ~ (hAPP(v55, v57) = v58) | ~ class_Rings_Ocomm__semiring__1(v54) | ? [v60] : ? [v61] : (c_Groups_Oplus__class_Oplus(v54, v53, v61) = v59 & hAPP(v60, v53) = v61 & hAPP(v55, v52) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ class_Rings_Oidom(v54) | ? [v60] : (( ~ (v59 = v57) | v53 = v52 | (v60 = v53 & c_Groups_Ouminus__class_Ouminus(v54, v52) = v53)) & (v59 = v57 | ( ~ (v60 = v53) & ~ (v53 = v52) & c_Groups_Ouminus__class_Ouminus(v54, v52) = v60)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v58) | ~ (c_Groups_Oplus__class_Oplus(v53, v55, v55) = v56) | ~ (c_Groups_Oone__class_Oone(v53) = v55) | ~ (hAPP(v57, v58) = v59) | ~ (hAPP(v54, v56) = v57) | ~ class_Int_Onumber__ring(v53) | ? [v60] : (c_Int_OBit0(v52) = v60 & c_Int_Onumber__class_Onumber__of(v53, v60) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_RealVector_Onorm__class_Onorm(v56, v57) = v58) | ~ (c_Groups_Oplus__class_Oplus(v56, v55, v53) = v57) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v54, v52) = v59) | ~ class_RealVector_Oreal__normed__vector(v56) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v58, v59) | ? [v60] : ((c_RealVector_Onorm__class_Onorm(v56, v55) = v60 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v60, v54)) | (c_RealVector_Onorm__class_Onorm(v56, v53) = v60 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v60, v52)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_RealVector_Onorm__class_Onorm(v55, v53) = v56) | ~ (c_RealVector_Onorm__class_Onorm(v55, v52) = v58) | ~ (hAPP(v57, v58) = v59) | ~ (hAPP(v11, v54) = v57) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v56, v59) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v10) | ~ class_RealVector_Oreal__normed__vector(v55) | c_Groups_Ozero__class_Ozero(v55) = v53) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Int_Onumber__class_Onumber__of(v55, v54) = v56) | ~ (c_Int_Onumber__class_Onumber__of(v55, v53) = v57) | ~ (c_Groups_Oplus__class_Oplus(v55, v57, v52) = v58) | ~ (c_Groups_Oplus__class_Oplus(v55, v56, v58) = v59) | ~ class_Int_Onumber__ring(v55) | ? [v60] : ? [v61] : (c_Int_Onumber__class_Onumber__of(v55, v60) = v61 & c_Groups_Oplus__class_Oplus(v55, v61, v52) = v59 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v53) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Oplus__class_Oplus(v56, v57, v58) = v59) | ~ (c_Groups_Oplus__class_Oplus(v56, v55, v53) = v57) | ~ (c_Groups_Oplus__class_Oplus(v56, v54, v52) = v58) | ~ class_Rings_Ocomm__semiring__1(v56) | ? [v60] : ? [v61] : (c_Groups_Oplus__class_Oplus(v56, v60, v61) = v59 & c_Groups_Oplus__class_Oplus(v56, v55, v54) = v60 & c_Groups_Oplus__class_Oplus(v56, v53, v52) = v61)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v56, v58) = v59) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v12, v54) = v55) | ~ (hAPP(v12, v53) = v57) | ? [v60] : ? [v61] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v53) = v60 & hAPP(v61, v52) = v59 & hAPP(v12, v60) = v61)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v56, v58) = v59) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v16, v54) = v55) | ~ (hAPP(v16, v53) = v57) | ? [v60] : ? [v61] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v53) = v60 & hAPP(v61, v52) = v59 & hAPP(v16, v60) = v61)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v56, v58) = v59) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v11, v54) = v55) | ~ (hAPP(v11, v53) = v57) | ? [v60] : ? [v61] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v54, v53) = v60 & hAPP(v61, v52) = v59 & hAPP(v11, v60) = v61)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v57, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v52) = v57) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v53) | ~ class_Rings_Olinordered__semidom(v55) | c_Orderings_Oord__class_Oless(v55, v58, v59) | ? [v60] : ((c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v52)) | (c_Groups_Oone__class_Oone(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v52, v60)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v57, v54) = v59) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v56, v52) = v57) | ~ class_Rings_Olinordered__semidom(v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v53) | c_Orderings_Oord__class_Oless__eq(v55, v58, v59) | ? [v60] : ((c_Groups_Ozero__class_Ozero(v55) = v60 & ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v52)) | (c_Groups_Oone__class_Oone(v55) = v60 & ~ c_Orderings_Oord__class_Oless__eq(v55, v52, v60)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v57, v53) = v59) | ~ (hAPP(v56, v52) = v57) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v53) | ~ class_Rings_Olinordered__semidom(v55) | c_Orderings_Oord__class_Oless(v55, v58, v59) | ? [v60] : (c_Groups_Oone__class_Oone(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v57, v53) = v59) | ~ (hAPP(v56, v52) = v57) | ~ class_Rings_Olinordered__semidom(v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v53) | c_Orderings_Oord__class_Oless__eq(v55, v58, v59) | ? [v60] : (c_Groups_Oone__class_Oone(v55) = v60 & ~ c_Orderings_Oord__class_Oless__eq(v55, v60, v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ c_Orderings_Oord__class_Oless(v55, v58, v59) | ~ class_Rings_Olinordered__semidom(v55) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | ? [v60] : (c_Groups_Oone__class_Oone(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | ~ class_Rings_Olinordered__semidom(v55) | c_Orderings_Oord__class_Oless(v55, v58, v59) | ? [v60] : (c_Groups_Oone__class_Oone(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ class_Rings_Olinordered__semidom(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v58, v59) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | ? [v60] : (c_Groups_Oone__class_Oone(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v59) | ~ (hAPP(v56, v54) = v57) | ~ class_Rings_Olinordered__semidom(v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(v55, v58, v59) | ? [v60] : (c_Groups_Oone__class_Oone(v55) = v60 & ~ c_Orderings_Oord__class_Oless(v55, v60, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (hAPP(v58, v52) = v59) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v16, v55) = v56) | ~ (hAPP(v16, v54) = v58) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v55, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v57, v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ! [v59] : ( ~ (hAPP(v57, v58) = v59) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v58) | ~ (hAPP(v14, v54) = v55) | ~ (hAPP(v12, v56) = v57) | ? [v60] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v60 & hAPP(v55, v60) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = v57 | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v52) = v58) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semidom(v54) | ? [v59] : (c_Groups_Oone__class_Oone(v54) = v59 & ~ c_Orderings_Oord__class_Oless(v54, v59, v53))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = v56 | v54 = v15 | ~ (c_Groups_Ozero__class_Ozero(v53) = v56) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v54) | ~ (c_Power_Opower__class_Opower(v53) = v55) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v55, v56) = v57) | ~ class_Rings_Osemiring__0(v53) | ~ class_Power_Opower(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = v55 | ~ (c_Nat_OSuc(v52) = v57) | ~ (c_Groups_Ozero__class_Ozero(v53) = v55) | ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v54, v55) = v56) | ~ class_Rings_Osemiring__0(v53) | ~ class_Power_Opower(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = v53 | ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v52) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v56, v52) = v57) | ~ class_Rings_Odivision__ring(v55) | c_Groups_Ozero__class_Ozero(v55) = v54) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = v53 | ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v58) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v52) | ~ (hAPP(v56, v53) = v57) | ~ class_Rings_Odivision__ring(v55) | c_Groups_Ozero__class_Ozero(v55) = v54) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = v52 | ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v58) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v53) | ~ (hAPP(v56, v52) = v57) | ~ class_Rings_Odivision__ring(v55) | c_Groups_Ozero__class_Ozero(v55) = v54) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v58 = v52 | ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v53) | ~ (c_Groups_Otimes__class_Otimes(v55) = v56) | ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v56, v53) = v57) | ~ class_Rings_Odivision__ring(v55) | c_Groups_Ozero__class_Ozero(v55) = v54) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v56 = v53 | ~ (c_Rings_Oinverse__class_Odivide(v55, v52, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v52) | ~ (hAPP(v57, v53) = v58) | ~ class_Rings_Odivision__ring(v55) | c_Groups_Ozero__class_Ozero(v55) = v54) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v56 = v52 | ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v54) = v56) | ~ (c_Groups_Otimes__class_Otimes(v55) = v57) | ~ (hAPP(v58, v54) = v53) | ~ (hAPP(v57, v52) = v58) | ~ class_Rings_Odivision__ring(v55) | c_Groups_Ozero__class_Ozero(v55) = v54) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v53 = v52 | ~ (c_Power_Opower__class_Opower(v55) = v56) | ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v56, v54) = v57) | ~ class_Rings_Olinordered__semidom(v55) | ? [v59] : (c_Groups_Oone__class_Oone(v55) = v59 & ~ c_Orderings_Oord__class_Oless(v55, v59, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v53 = v10 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v53) = v55) | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v52) = v57) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v11, v54) = v56) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v55, v58) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v10)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v53 = v10 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v58) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v54, v3) = v55) | ~ (hAPP(v7, v53) = v54) | ~ (hAPP(v7, v52) = v56) | ? [v59] : ( ~ (v59 = v52) & c_NthRoot_Osqrt(v58) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : (v52 = v10 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v58) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v54, v3) = v55) | ~ (hAPP(v7, v53) = v54) | ~ (hAPP(v7, v52) = v56) | ? [v59] : ( ~ (v59 = v53) & c_NthRoot_Osqrt(v58) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Rings_Oinverse__class_Odivide(v56, v55, v52) = v57) | ~ (c_Rings_Oinverse__class_Odivide(v56, v54, v53) = v58) | ~ class_Fields_Olinordered__field(v56) | ~ c_Orderings_Oord__class_Oless(v56, v55, v54) | ~ c_Orderings_Oord__class_Oless__eq(v56, v53, v52) | c_Orderings_Oord__class_Oless(v56, v57, v58) | ? [v59] : (c_Groups_Ozero__class_Ozero(v56) = v59 & ( ~ c_Orderings_Oord__class_Oless(v56, v59, v53) | ~ c_Orderings_Oord__class_Oless__eq(v56, v59, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Rings_Oinverse__class_Odivide(v56, v55, v52) = v57) | ~ (c_Rings_Oinverse__class_Odivide(v56, v54, v53) = v58) | ~ class_Fields_Olinordered__field(v56) | ~ c_Orderings_Oord__class_Oless(v56, v53, v52) | ~ c_Orderings_Oord__class_Oless__eq(v56, v55, v54) | c_Orderings_Oord__class_Oless(v56, v57, v58) | ? [v59] : (c_Groups_Ozero__class_Ozero(v56) = v59 & ( ~ c_Orderings_Oord__class_Oless(v56, v59, v55) | ~ c_Orderings_Oord__class_Oless(v56, v59, v53)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Rings_Oinverse__class_Odivide(v56, v55, v52) = v57) | ~ (c_Rings_Oinverse__class_Odivide(v56, v54, v53) = v58) | ~ class_Fields_Olinordered__field(v56) | ~ c_Orderings_Oord__class_Oless__eq(v56, v55, v54) | ~ c_Orderings_Oord__class_Oless__eq(v56, v53, v52) | c_Orderings_Oord__class_Oless__eq(v56, v57, v58) | ? [v59] : (c_Groups_Ozero__class_Ozero(v56) = v59 & ( ~ c_Orderings_Oord__class_Oless(v56, v59, v53) | ~ c_Orderings_Oord__class_Oless__eq(v56, v59, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v52) = v56) | ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v57) | ~ (c_Groups_Oplus__class_Oplus(v55, v56, v57) = v58) | ~ class_RealVector_Oreal__normed__field(v55) | ? [v59] : (c_Rings_Oinverse__class_Odivide(v55, v59, v52) = v58 & c_Groups_Oplus__class_Oplus(v55, v54, v53) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v52) = v56) | ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v57) | ~ (c_Groups_Oplus__class_Oplus(v55, v56, v57) = v58) | ~ class_Rings_Odivision__ring(v55) | ? [v59] : (c_Rings_Oinverse__class_Odivide(v55, v59, v52) = v58 & c_Groups_Oplus__class_Oplus(v55, v54, v53) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v55, v57) = v58) | ~ (c_Groups_Oplus__class_Oplus(v54, v56, v56) = v57) | ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ (c_Groups_Oone__class_Oone(v54) = v56) | ~ class_Fields_Olinordered__field(v54) | ~ c_Orderings_Oord__class_Oless(v54, v53, v52) | c_Orderings_Oord__class_Oless(v54, v58, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v55, v57) = v58) | ~ (c_Groups_Oplus__class_Oplus(v54, v56, v56) = v57) | ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ (c_Groups_Oone__class_Oone(v54) = v56) | ~ class_Fields_Olinordered__field(v54) | ~ c_Orderings_Oord__class_Oless(v54, v53, v52) | c_Orderings_Oord__class_Oless(v54, v53, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v52, v57) = v58) | ~ (c_NthRoot_Osqrt(v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v56) = v57) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v54) = v55) | ~ (hAPP(v53, v3) = v54) | ~ (hAPP(v7, v52) = v53) | ? [v59] : ? [v60] : (c_Transcendental_Oarctan(v58) = v60 & c_Transcendental_Oarctan(v52) = v59 & hAPP(v24, v60) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (tc_fun(v54, v55) = v56) | ~ (hAPP(v52, v57) = v58) | ~ class_Orderings_Oord(v55) | ~ c_Orderings_Oord__class_Oless__eq(v56, v53, v52) | ? [v59] : (hAPP(v53, v57) = v59 & c_Orderings_Oord__class_Oless__eq(v55, v59, v58))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Nat_OSuc(v54) = v55) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v56, v52) = v58) | ~ (hAPP(v16, v55) = v56) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v57, v58) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Nat_OSuc(v54) = v55) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v56, v52) = v58) | ~ (hAPP(v16, v55) = v56) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v57, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Nat_OSuc(v54) = v55) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v56, v52) = v58) | ~ (hAPP(v16, v55) = v56) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v57, v58) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Nat_OSuc(v54) = v55) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v56, v52) = v58) | ~ (hAPP(v16, v55) = v56) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v57, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Nat_OSuc(v52) = v57) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semidom(v54) | c_Orderings_Oord__class_Oless__eq(v54, v58, v53) | ? [v59] : ((c_Groups_Ozero__class_Ozero(v54) = v59 & ~ c_Orderings_Oord__class_Oless__eq(v54, v59, v53)) | (c_Groups_Oone__class_Oone(v54) = v59 & ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v59)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Nat_OSuc(v52) = v57) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semidom(v54) | ? [v59] : (c_Groups_Oone__class_Oone(v54) = v59 & ( ~ c_Orderings_Oord__class_Oless(v54, v59, v53) | c_Orderings_Oord__class_Oless(v54, v59, v58)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Nat_OSuc(v52) = v57) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semidom(v54) | ? [v59] : ((c_Groups_Ozero__class_Ozero(v54) = v59 & ~ c_Orderings_Oord__class_Oless(v54, v59, v53)) | (c_Groups_Oone__class_Oone(v54) = v59 & c_Orderings_Oord__class_Oless(v54, v58, v59)) | (c_Groups_Oone__class_Oone(v54) = v59 & ~ c_Orderings_Oord__class_Oless(v54, v53, v59)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v57) = v58) | ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Oring(v54) | ? [v59] : ? [v60] : (c_Groups_Ouminus__class_Ouminus(v54, v53) = v59 & hAPP(v60, v52) = v58 & hAPP(v55, v59) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v57) = v58) | ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Oring(v54) | ? [v59] : (c_Groups_Ouminus__class_Ouminus(v54, v52) = v59 & hAPP(v56, v59) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v57) = v58) | ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_RealVector_Oreal__normed__algebra(v54) | ? [v59] : ? [v60] : (c_Groups_Ouminus__class_Ouminus(v54, v53) = v59 & hAPP(v60, v52) = v58 & hAPP(v55, v59) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v57) = v58) | ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_RealVector_Oreal__normed__algebra(v54) | ? [v59] : (c_Groups_Ouminus__class_Ouminus(v54, v52) = v59 & hAPP(v56, v59) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v56) | ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v55, v56) = v57) | ~ class_Rings_Oring(v54) | ? [v59] : ? [v60] : (c_Groups_Ouminus__class_Ouminus(v54, v52) = v60 & hAPP(v59, v60) = v58 & hAPP(v55, v53) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v55) = v56) | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Groups_Oone__class_Oone(v53) = v55) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v54, v56) = v57) | ~ class_Rings_Ocomm__ring__1(v53) | c_Groups_Ouminus__class_Ouminus(v53, v52) = v58) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Groups_Oplus__class_Oplus(v53, v55, v55) = v56) | ~ (c_Groups_Oone__class_Oone(v53) = v55) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v54, v56) = v57) | ~ class_Rings_Ocomm__semiring__1(v53) | c_Groups_Oplus__class_Oplus(v53, v52, v52) = v58) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v54, v56) = v57) | ~ (hAPP(v54, v52) = v55) | ~ class_Groups_Omonoid__mult(v53) | ? [v59] : ? [v60] : (c_Power_Opower__class_Opower(v53) = v59 & hAPP(v60, v22) = v58 & hAPP(v59, v52) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_RealVector_Onorm__class_Onorm(v54, v53) = v55) | ~ (c_RealVector_Onorm__class_Onorm(v54, v52) = v57) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v11, v55) = v56) | ~ class_RealVector_Oreal__normed__algebra(v54) | ? [v59] : ? [v60] : ? [v61] : ? [v62] : (c_Groups_Otimes__class_Otimes(v54) = v59 & c_RealVector_Onorm__class_Onorm(v54, v61) = v62 & hAPP(v60, v52) = v61 & hAPP(v59, v53) = v60 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v62, v58))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_RealVector_Onorm__class_Onorm(v54, v53) = v55) | ~ (c_RealVector_Onorm__class_Onorm(v54, v52) = v57) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v11, v55) = v56) | ~ class_RealVector_Oreal__normed__div__algebra(v54) | ? [v59] : ? [v60] : ? [v61] : (c_Groups_Otimes__class_Otimes(v54) = v59 & c_RealVector_Onorm__class_Onorm(v54, v61) = v58 & hAPP(v60, v52) = v61 & hAPP(v59, v53) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Complex_Ocomplex_OComplex(v56, v57) = v58) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v54, v52) = v57) | ? [v59] : ? [v60] : (c_Complex_Ocomplex_OComplex(v55, v54) = v59 & c_Complex_Ocomplex_OComplex(v53, v52) = v60 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v59, v60) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, c_Int_OMin) = v55) | ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v54, v55) = v56) | ~ (hAPP(v20, v52) = v57) | ~ class_Int_Onumber__ring(v53) | c_Groups_Oone__class_Oone(v53) = v58) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v57) | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Ozero__neq__one(v54) | ~ class_Rings_Ono__zero__divisors(v54) | ~ class_Rings_Omult__zero(v54) | ~ class_Power_Opower(v54) | ? [v59] : (c_Groups_Ozero__class_Ozero(v54) = v59 & ( ~ (v59 = v58) | (v58 = v53 & ~ (v57 = v15))) & ( ~ (v59 = v53) | v58 = v53 | v57 = v15))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Oplus__class_Oplus(v56, v55, v53) = v57) | ~ (c_Groups_Oplus__class_Oplus(v56, v54, v52) = v58) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v56) | ~ c_Orderings_Oord__class_Oless(v56, v55, v54) | ~ c_Orderings_Oord__class_Oless(v56, v53, v52) | c_Orderings_Oord__class_Oless(v56, v57, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Oplus__class_Oplus(v56, v55, v53) = v57) | ~ (c_Groups_Oplus__class_Oplus(v56, v54, v52) = v58) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v56) | ~ c_Orderings_Oord__class_Oless(v56, v55, v54) | ~ c_Orderings_Oord__class_Oless__eq(v56, v53, v52) | c_Orderings_Oord__class_Oless(v56, v57, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Oplus__class_Oplus(v56, v55, v53) = v57) | ~ (c_Groups_Oplus__class_Oplus(v56, v54, v52) = v58) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v56) | ~ c_Orderings_Oord__class_Oless(v56, v53, v52) | ~ c_Orderings_Oord__class_Oless__eq(v56, v55, v54) | c_Orderings_Oord__class_Oless(v56, v57, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Oplus__class_Oplus(v56, v55, v53) = v57) | ~ (c_Groups_Oplus__class_Oplus(v56, v54, v52) = v58) | ~ class_Groups_Oordered__ab__semigroup__add(v56) | ~ c_Orderings_Oord__class_Oless__eq(v56, v55, v54) | ~ c_Orderings_Oord__class_Oless__eq(v56, v53, v52) | c_Orderings_Oord__class_Oless__eq(v56, v57, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v56, v57) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v12, v54) = v55) | ? [v59] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v59 & hAPP(v55, v59) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v56, v57) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v16, v54) = v55) | ? [v59] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v59 & hAPP(v55, v59) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v58) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v11, v53) = v54) | ~ (hAPP(v11, v52) = v56) | ? [v59] : (c_NthRoot_Osqrt(v58) = v59 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v59))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v58) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v11, v53) = v54) | ~ (hAPP(v11, v52) = v56) | ? [v59] : (c_NthRoot_Osqrt(v58) = v59 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v59))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v58) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v54, v3) = v55) | ~ (hAPP(v7, v53) = v56) | ~ (hAPP(v7, v52) = v54) | ? [v59] : (c_NthRoot_Osqrt(v58) = v59 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v59))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v58) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v54, v3) = v55) | ~ (hAPP(v7, v53) = v54) | ~ (hAPP(v7, v52) = v56) | ? [v59] : ? [v60] : (c_NthRoot_Osqrt(v58) = v60 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v59) = v60 & c_Complex_Ocomplex_OComplex(v53, v52) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v58) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v54, v3) = v55) | ~ (hAPP(v7, v53) = v54) | ~ (hAPP(v7, v52) = v56) | ? [v59] : (c_NthRoot_Osqrt(v58) = v59 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v59))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v58) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v54, v3) = v55) | ~ (hAPP(v7, v53) = v54) | ~ (hAPP(v7, v52) = v56) | ? [v59] : (c_NthRoot_Osqrt(v58) = v59 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v59))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v20, v52) = v57) | ~ class_Rings_Ocomm__semiring__1(v54) | ? [v59] : ? [v60] : ? [v61] : (c_Groups_Otimes__class_Otimes(v54) = v59 & hAPP(v61, v60) = v58 & hAPP(v59, v60) = v61 & hAPP(v56, v52) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v20, v52) = v57) | ~ class_Rings_Olinordered__idom(v54) | ? [v59] : (c_Groups_Ozero__class_Ozero(v54) = v59 & c_Orderings_Oord__class_Oless__eq(v54, v59, v58))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v20, v52) = v57) | ~ class_Rings_Olinordered__idom(v54) | ? [v59] : (c_Groups_Ozero__class_Ozero(v54) = v59 & (v59 = v53 | ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v59)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v57) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v20, v52) = v57) | ~ class_Groups_Omonoid__mult(v54) | ? [v59] : ? [v60] : (hAPP(v60, v3) = v58 & hAPP(v56, v52) = v59 & hAPP(v55, v59) = v60)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v55, v54) = v56) | ~ (hAPP(v11, v53) = v55) | ~ (hAPP(v11, v52) = v57) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v56, v58) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v55, v54) = v56) | ~ (hAPP(v11, v53) = v55) | ~ (hAPP(v11, v52) = v57) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v52) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v56, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v55, v54) = v56) | ~ (hAPP(v11, v53) = v55) | ~ (hAPP(v11, v52) = v57) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v56, v58) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v54) = v58) | ~ (hAPP(v55, v54) = v56) | ~ (hAPP(v11, v53) = v55) | ~ (hAPP(v11, v52) = v57) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v56, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v16, v54) = v55) | ~ (hAPP(v16, v52) = v57) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v56, v58) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v16, v54) = v55) | ~ (hAPP(v16, v52) = v57) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v56, v58) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v16, v54) = v55) | ~ (hAPP(v16, v52) = v57) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v52) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v56, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v16, v54) = v55) | ~ (hAPP(v16, v52) = v57) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v56, v58) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v16, v54) = v55) | ~ (hAPP(v16, v52) = v57) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v56, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v53) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v16, v54) = v55) | ~ (hAPP(v16, v52) = v57) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v56, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v16, v56) = v57) | ~ (hAPP(v16, v54) = v55) | ? [v59] : ? [v60] : (hAPP(v59, v52) = v60 & hAPP(v55, v60) = v58 & hAPP(v16, v53) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v14, v56) = v57) | ~ (hAPP(v14, v54) = v55) | ? [v59] : ? [v60] : (hAPP(v59, v52) = v60 & hAPP(v55, v60) = v58 & hAPP(v16, v53) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v12, v56) = v57) | ~ (hAPP(v12, v54) = v55) | ? [v59] : ? [v60] : (hAPP(v59, v52) = v60 & hAPP(v55, v60) = v58 & hAPP(v12, v53) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v11, v56) = v57) | ~ (hAPP(v11, v54) = v55) | ? [v59] : ? [v60] : (hAPP(v59, v52) = v60 & hAPP(v55, v60) = v58 & hAPP(v11, v53) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v16, v54) = v55) | ~ (hAPP(v16, v53) = v57) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v53) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v56, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ! [v58] : ( ~ (hAPP(v57, v52) = v58) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v16, v54) = v55) | ~ (hAPP(v16, v53) = v57) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v53) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v56, v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v56 | ~ (c_Nat_OSuc(v53) = v54) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v16, v54) = v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v56 | ~ (c_Groups_Ozero__class_Ozero(v53) = v56) | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Ocomm__semiring__1(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v56 | ~ (c_Groups_Ozero__class_Ozero(v53) = v56) | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v54, v52) = v55) | ~ class_RealVector_Oreal__normed__algebra(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v56 | ~ (c_Groups_Ozero__class_Ozero(v53) = v56) | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Omult__zero(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v55 | v53 = v10 | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v11, v52) = v56) | ~ (hAPP(v11, v52) = v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v55 | v52 = v15 | ~ (c_Groups_Ozero__class_Ozero(v53) = v55) | ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v55) = v56) | ~ class_Rings_Osemiring__0(v53) | ~ class_Power_Opower(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v55 | ~ (c_Groups_Ozero__class_Ozero(v53) = v55) | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v55) = v56) | ~ class_Rings_Ocomm__semiring__1(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v55 | ~ (c_Groups_Ozero__class_Ozero(v53) = v55) | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v55) = v56) | ~ class_RealVector_Oreal__normed__algebra(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v55 | ~ (c_Groups_Ozero__class_Ozero(v53) = v55) | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v55) = v56) | ~ class_Rings_Omult__zero(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v55 | ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (c_Groups_Oone__class_Oone(v53) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v55) = v56) | ~ class_Groups_Omonoid__mult(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v55 | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v16, v52) = v56) | ~ (hAPP(v16, v52) = v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v55 | ~ (hAPP(v56, v15) = v57) | ~ (hAPP(v54, v15) = v55) | ~ (hAPP(v16, v53) = v54) | ~ (hAPP(v16, v52) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v54 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v56) = v57) | ~ (hAPP(v24, v54) = v55) | ~ (hAPP(v24, v52) = v56) | ? [v58] : ( ~ (v58 = v55) & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v52) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v52 | ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Oplus__class_Oplus(v54, v55, v56) = v57) | ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v56) | ~ class_Groups_Ogroup__add(v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v52 | ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Oplus__class_Oplus(v54, v55, v52) = v56) | ~ (c_Groups_Oplus__class_Oplus(v54, v53, v56) = v57) | ~ class_Groups_Ogroup__add(v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v52 | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, v1) = v56) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v54, v52) = v55) | ~ class_Int_Onumber__ring(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v52 | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, v1) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v55) = v56) | ~ class_Int_Onumber__ring(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v52 | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Groups_Oone__class_Oone(v53) = v56) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Ocomm__semiring__1(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v52 | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Groups_Oone__class_Oone(v53) = v56) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v54, v52) = v55) | ~ class_Groups_Ocomm__monoid__mult(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v52 | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Groups_Oone__class_Oone(v53) = v56) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v54, v52) = v55) | ~ class_Groups_Omonoid__mult(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v52 | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Groups_Oone__class_Oone(v53) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v55) = v56) | ~ class_Rings_Ocomm__semiring__1(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v52 | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Groups_Oone__class_Oone(v53) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v55) = v56) | ~ class_Groups_Ocomm__monoid__mult(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v52 | ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Groups_Oone__class_Oone(v53) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v55) = v56) | ~ class_Groups_Omonoid__mult(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v57 = v15 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v56) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v16, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OPls)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v52 | v53 = v15 | ~ (hAPP(v57, v53) = v56) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v16, v54) = v55) | ~ (hAPP(v16, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v54 = v10 | v53 = v52 | ~ (hAPP(v57, v54) = v56) | ~ (hAPP(v55, v54) = v56) | ~ (hAPP(v11, v53) = v55) | ~ (hAPP(v11, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v53 = v52 | ~ (c_Nat_OSuc(v54) = v55) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v16, v55) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v53 = v52 | ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ class_Rings_Olinordered__semidom(v54) | ? [v58] : ? [v59] : (( ~ (v59 = v58) & hAPP(v57, v3) = v59 & hAPP(v56, v3) = v58) | (c_Groups_Ozero__class_Ozero(v54) = v58 & ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v53)) | (c_Groups_Ozero__class_Ozero(v54) = v58 & ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v52)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v53 = v10 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v10) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v11, v53) = v54) | ~ (hAPP(v11, v52) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v53 = v10 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v10) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v54, v3) = v55) | ~ (hAPP(v7, v53) = v54) | ~ (hAPP(v7, v52) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v52 = v10 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v10) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v11, v53) = v54) | ~ (hAPP(v11, v52) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : (v52 = v10 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v57) = v10) | ~ (hAPP(v56, v3) = v57) | ~ (hAPP(v54, v3) = v55) | ~ (hAPP(v7, v53) = v54) | ~ (hAPP(v7, v52) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v52) = v57) | ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v56) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | c_Orderings_Oord__class_Oless(v55, v56, v57) | ? [v58] : (c_Groups_Ozero__class_Ozero(v55) = v58 & ~ c_Orderings_Oord__class_Oless(v55, v52, v58))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v52) = v57) | ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v56) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | c_Orderings_Oord__class_Oless__eq(v55, v56, v57) | ? [v58] : (c_Groups_Ozero__class_Ozero(v55) = v58 & ~ c_Orderings_Oord__class_Oless__eq(v55, v52, v58))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v52) = v56) | ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v57) | ~ class_Fields_Olinordered__field(v55) | ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | c_Orderings_Oord__class_Oless(v55, v56, v57) | ? [v58] : (c_Groups_Ozero__class_Ozero(v55) = v58 & ~ c_Orderings_Oord__class_Oless(v55, v58, v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Rings_Oinverse__class_Odivide(v55, v54, v52) = v56) | ~ (c_Rings_Oinverse__class_Odivide(v55, v53, v52) = v57) | ~ class_Fields_Olinordered__field__inverse__zero(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | c_Orderings_Oord__class_Oless__eq(v55, v56, v57) | ? [v58] : (c_Groups_Ozero__class_Ozero(v55) = v58 & ~ c_Orderings_Oord__class_Oless__eq(v55, v58, v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v55, v56) = v57) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v56) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v55) | ~ class_Rings_Odivision__ring(v54) | ? [v58] : ((v58 = v57 & c_Rings_Oinverse__class_Odivide(v54, v52, v53) = v57) | (v58 = v53 & c_Groups_Ozero__class_Ozero(v54) = v53))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v55, v56) = v57) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v56) | ~ class_Fields_Ofield__inverse__zero(v54) | c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v57) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v55, v56) = v57) | ~ (c_RealVector_Onorm__class_Onorm(v54, v53) = v56) | ~ (c_RealVector_Onorm__class_Onorm(v54, v52) = v55) | ~ class_RealVector_Oreal__normed__field(v54) | ? [v58] : ? [v59] : ((v59 = v57 & c_Rings_Oinverse__class_Odivide(v54, v52, v53) = v58 & c_RealVector_Onorm__class_Onorm(v54, v58) = v57) | (v58 = v53 & c_Groups_Ozero__class_Ozero(v54) = v53))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v55, v56) = v57) | ~ (c_RealVector_Onorm__class_Onorm(v54, v53) = v55) | ~ (c_RealVector_Onorm__class_Onorm(v54, v52) = v56) | ~ class_RealVector_Oreal__normed__field(v54) | ~ class_Fields_Ofield__inverse__zero(v54) | ? [v58] : (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v58 & c_RealVector_Onorm__class_Onorm(v54, v58) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v55, v56) = v57) | ~ (hAPP(v54, v53) = v56) | ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v11, v53) = v54) | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v52, v53) = v57) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Power_Opower_Opower(v55, v54, v53) = v56) | ~ (hAPP(v56, v52) = v57) | hAPP(v57, v15) = v54) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Complex_Ocomplex_Ocomplex__case(v55, v54, v56) = v57) | ~ (c_Complex_Ocomplex_OComplex(v53, v52) = v56) | ? [v58] : (hAPP(v58, v52) = v57 & hAPP(v54, v53) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Complex_Ocomplex_Ocomplex__rec(v55, v54, v56) = v57) | ~ (c_Complex_Ocomplex_OComplex(v53, v52) = v56) | ? [v58] : (hAPP(v58, v52) = v57 & hAPP(v54, v53) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_NthRoot_Osqrt(v53) = v54) | ~ (c_NthRoot_Osqrt(v52) = v56) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v11, v54) = v55) | ? [v58] : ? [v59] : (c_NthRoot_Osqrt(v59) = v57 & hAPP(v58, v52) = v59 & hAPP(v11, v53) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v56) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(v54, v55, v56) = v57) | ~ class_Groups_Ogroup__add(v54) | ? [v58] : (c_Groups_Ouminus__class_Ouminus(v54, v58) = v57 & c_Groups_Oplus__class_Oplus(v54, v53, v52) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v56) | ~ (c_Groups_Oplus__class_Oplus(v54, v55, v56) = v57) | ~ class_Groups_Oab__group__add(v54) | ? [v58] : (c_Groups_Ouminus__class_Ouminus(v54, v58) = v57 & c_Groups_Oplus__class_Oplus(v54, v53, v52) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v52) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v54, v56) = v57) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v55) = v56) | ~ class_Int_Onumber__ring(v54) | ? [v58] : ? [v59] : (( ~ c_Int_Oiszero(v54, v57) | (v59 = v58 & c_Int_Onumber__class_Onumber__of(v54, v53) = v58 & c_Int_Onumber__class_Onumber__of(v54, v52) = v58)) & (c_Int_Oiszero(v54, v57) | ( ~ (v59 = v58) & c_Int_Onumber__class_Onumber__of(v54, v53) = v58 & c_Int_Onumber__class_Onumber__of(v54, v52) = v59)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Ozero__class_Ozero(v53) = v55) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v15) | ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v56, v15) = v57) | ~ (hAPP(v54, v55) = v56) | ~ class_Rings_Osemiring__0(v53) | ~ class_Power_Opower(v53) | c_Groups_Oone__class_Oone(v53) = v57) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Ozero__class_Ozero(v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(v53, v56, v55) = v57) | ~ (c_Groups_Oplus__class_Oplus(v53, v54, v55) = v56) | ~ class_Int_Onumber__ring(v53) | ? [v58] : (c_Int_OBit0(v52) = v58 & c_Int_Onumber__class_Onumber__of(v53, v58) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v55, v52) = v56) | ~ class_Rings_Olinordered__semiring__strict(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless(v54, v52, v58) | c_Orderings_Oord__class_Oless(v54, v57, v58)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v55, v52) = v56) | ~ class_Rings_Oordered__cancel__semiring(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v58) | c_Orderings_Oord__class_Oless__eq(v54, v57, v58)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v55, v52) = v56) | ~ class_Rings_Ocomm__semiring__1(v54) | ? [v58] : (hAPP(v58, v52) = v57 & hAPP(v55, v53) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v53) = v57) | ~ (hAPP(v55, v52) = v56) | ~ class_Rings_Olinordered__idom(v54) | c_Orderings_Oord__class_Oless__eq(v54, v57, v53) | ? [v58] : ((c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v52))) | (c_Groups_Oone__class_Oone(v54) = v58 & ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v58)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semiring__strict(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless(v54, v58, v57) | ~ c_Orderings_Oord__class_Oless(v54, v58, v53) | c_Orderings_Oord__class_Oless(v54, v58, v52)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semiring__strict(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless(v54, v58, v57) | ~ c_Orderings_Oord__class_Oless(v54, v58, v52) | c_Orderings_Oord__class_Oless(v54, v58, v53)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semiring__strict(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless(v54, v58, v52) | c_Orderings_Oord__class_Oless(v54, v58, v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semiring__strict(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless(v54, v52, v58) | c_Orderings_Oord__class_Oless(v54, v57, v58)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semiring__strict(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless(v54, v58, v52) | ~ c_Orderings_Oord__class_Oless(v54, v53, v58) | c_Orderings_Oord__class_Oless(v54, v57, v58)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Oordered__ring(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v58) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v58) | c_Orderings_Oord__class_Oless__eq(v54, v58, v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Oordered__ring(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & (c_Orderings_Oord__class_Oless__eq(v54, v58, v57) | (( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v52)) & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v58) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v58)))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Oordered__cancel__semiring(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v52) | c_Orderings_Oord__class_Oless__eq(v54, v58, v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Oordered__cancel__semiring(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v58) | c_Orderings_Oord__class_Oless__eq(v54, v57, v58)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Oordered__cancel__semiring(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v52) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v58) | c_Orderings_Oord__class_Oless__eq(v54, v57, v58)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Oordered__cancel__semiring(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & (c_Orderings_Oord__class_Oless__eq(v54, v57, v58) | (( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v58)) & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v52) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v58)))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semidom(v54) | ? [v58] : (c_Groups_Oone__class_Oone(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless(v54, v58, v52) | c_Orderings_Oord__class_Oless(v54, v58, v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Oring__no__zero__divisors(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ (v58 = v57) | v57 = v53 | v57 = v52) & (v58 = v57 | ( ~ (v58 = v53) & ~ (v58 = v52))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__ring__strict(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless(v54, v53, v58) | ~ c_Orderings_Oord__class_Oless(v54, v52, v58) | c_Orderings_Oord__class_Oless(v54, v58, v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__ring__strict(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v57) | (c_Orderings_Oord__class_Oless__eq(v54, v58, v53) & c_Orderings_Oord__class_Oless__eq(v54, v58, v52)) | (c_Orderings_Oord__class_Oless__eq(v54, v53, v58) & c_Orderings_Oord__class_Oless__eq(v54, v52, v58))) & (c_Orderings_Oord__class_Oless__eq(v54, v58, v57) | (( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v52)) & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v58) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v58)))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__ring__strict(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v57, v58) | (c_Orderings_Oord__class_Oless__eq(v54, v58, v53) & c_Orderings_Oord__class_Oless__eq(v54, v52, v58)) | (c_Orderings_Oord__class_Oless__eq(v54, v58, v52) & c_Orderings_Oord__class_Oless__eq(v54, v53, v58))) & (c_Orderings_Oord__class_Oless__eq(v54, v57, v58) | (( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v58)) & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v52) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v58)))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Ono__zero__divisors(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ (v58 = v57) | v57 = v53 | v57 = v52))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__idom(v54) | c_Orderings_Oord__class_Oless__eq(v54, v57, v53) | ? [v58] : ((c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v52))) | (c_Groups_Oone__class_Oone(v54) = v58 & ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v58)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v54) | ~ (hAPP(v56, v54) = v57) | ~ (hAPP(v55, v54) = v56) | ~ class_Groups_Omonoid__mult(v53) | ~ class_Int_Onumber(v53) | ? [v58] : ? [v59] : (c_Power_Opower__class_Opower(v53) = v58 & hAPP(v59, v3) = v57 & hAPP(v58, v54) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, v2) = v56) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v54, v52) = v55) | ~ class_Int_Onumber__ring(v53) | c_Groups_Oplus__class_Oplus(v53, v52, v52) = v57) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, v2) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v55) = v56) | ~ class_Int_Onumber__ring(v53) | c_Groups_Oplus__class_Oplus(v53, v52, v52) = v57) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, c_Int_OMin) = v56) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v54, v52) = v55) | ~ class_Int_Onumber__ring(v53) | c_Groups_Ouminus__class_Ouminus(v53, v52) = v57) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, c_Int_OMin) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v55) = v56) | ~ class_Int_Onumber__ring(v53) | c_Groups_Ouminus__class_Ouminus(v53, v52) = v57) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_RealVector_Onorm__class_Onorm(v54, v53) = v55) | ~ (c_RealVector_Onorm__class_Onorm(v54, v52) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v56) = v57) | ~ class_RealVector_Oreal__normed__vector(v54) | ? [v58] : ? [v59] : (c_RealVector_Onorm__class_Onorm(v54, v58) = v59 & c_Groups_Oplus__class_Oplus(v54, v53, v52) = v58 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v59, v57))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_RealVector_Onorm__class_Onorm(v54, v53) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v7, v55) = v56) | ~ class_RealVector_Oreal__normed__algebra__1(v54) | ? [v58] : ? [v59] : ? [v60] : ? [v61] : (c_RealVector_Onorm__class_Onorm(v54, v60) = v61 & c_Power_Opower__class_Opower(v54) = v58 & hAPP(v59, v52) = v60 & hAPP(v58, v53) = v59 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v61, v57))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_RealVector_Onorm__class_Onorm(v54, v53) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v7, v55) = v56) | ~ class_RealVector_Oreal__normed__div__algebra(v54) | ? [v58] : ? [v59] : ? [v60] : (c_RealVector_Onorm__class_Onorm(v54, v60) = v57 & c_Power_Opower__class_Opower(v54) = v58 & hAPP(v59, v52) = v60 & hAPP(v58, v53) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v54) = v55) | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v52) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v55, v56) = v57) | ~ (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v53, v52) = v54) | ? [v58] : (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v53) = v58 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v58, v57))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Int_OBit0(v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v56, v52) = v57) | ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v12, v53) = v54) | ? [v58] : ? [v59] : (c_Int_OBit1(v53) = v58 & hAPP(v59, v52) = v57 & hAPP(v12, v58) = v59)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Int_Onumber__class_Onumber__of(v54, v53) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v54, v52) = v56) | ~ (c_Groups_Oplus__class_Oplus(v54, v55, v56) = v57) | ~ class_Int_Onumber__ring(v54) | ? [v58] : (c_Int_Onumber__class_Onumber__of(v54, v58) = v57 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(v53, v56, v55) = v57) | ~ (c_Groups_Oplus__class_Oplus(v53, v54, v55) = v56) | ~ (c_Groups_Oone__class_Oone(v53) = v54) | ~ class_Int_Onumber__ring(v53) | ? [v58] : (c_Int_OBit1(v52) = v58 & c_Int_Onumber__class_Onumber__of(v53, v58) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v52) = v56) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v12, v54) = v55) | ? [v58] : ? [v59] : (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v59) = v57 & hAPP(v58, v52) = v59 & hAPP(v12, v53) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v56) | ~ (hAPP(v55, v56) = v57) | ~ (hAPP(v16, v54) = v55) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OPls) | ? [v58] : ? [v59] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v59) = v57 & hAPP(v58, v52) = v59 & hAPP(v12, v53) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v56, v53) = v57) | ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v56) | ~ class_Rings_Ocomm__semiring__1(v55) | ? [v58] : (c_Groups_Oplus__class_Oplus(v55, v58, v52) = v57 & c_Groups_Oplus__class_Oplus(v55, v54, v53) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v56, v52) = v57) | ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ class_Groups_Oab__semigroup__add(v55) | ? [v58] : (c_Groups_Oplus__class_Oplus(v55, v54, v58) = v57 & c_Groups_Oplus__class_Oplus(v55, v53, v52) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v56, v52) = v57) | ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ class_Rings_Ocomm__semiring__1(v55) | ? [v58] : (c_Groups_Oplus__class_Oplus(v55, v54, v58) = v57 & c_Groups_Oplus__class_Oplus(v55, v53, v52) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v57) | ~ c_Orderings_Oord__class_Oless(v55, v56, v57) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v55) | c_Orderings_Oord__class_Oless(v55, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v57) | ~ c_Orderings_Oord__class_Oless(v55, v53, v52) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v55) | c_Orderings_Oord__class_Oless(v55, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v57) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v56, v57) | c_Orderings_Oord__class_Oless__eq(v55, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v57) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v52) | c_Orderings_Oord__class_Oless__eq(v55, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v52, v53) = v57) | ~ c_Orderings_Oord__class_Oless(v55, v56, v57) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v55) | c_Orderings_Oord__class_Oless(v55, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v52, v53) = v57) | ~ c_Orderings_Oord__class_Oless(v55, v54, v52) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v55) | c_Orderings_Oord__class_Oless(v55, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v52, v53) = v57) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v56, v57) | c_Orderings_Oord__class_Oless__eq(v55, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v52, v53) = v57) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v52) | c_Orderings_Oord__class_Oless__eq(v55, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v53, v56) = v57) | ~ class_Rings_Ocomm__semiring__1(v55) | ? [v58] : (c_Groups_Oplus__class_Oplus(v55, v54, v58) = v57 & c_Groups_Oplus__class_Oplus(v55, v53, v52) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v53, v52) = v57) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v55) | ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | c_Orderings_Oord__class_Oless(v55, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v53, v52) = v57) | ~ class_Groups_Oordered__ab__semigroup__add(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | c_Orderings_Oord__class_Oless__eq(v55, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v52, v54) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v52, v53) = v57) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v55) | ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | c_Orderings_Oord__class_Oless(v55, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v52, v54) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v52, v53) = v57) | ~ class_Groups_Oordered__ab__semigroup__add(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | c_Orderings_Oord__class_Oless__eq(v55, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v12, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v57, c_Int_OPls) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, c_Int_OPls)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v12, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v57) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v55, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v52) = v57) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v55, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v55, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v52) = v57) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v55, v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v55, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v52) = v57) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v55, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v52) | ~ class_Rings_Olinordered__semidom(v54) | ? [v58] : (c_Groups_Oone__class_Oone(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless(v54, v58, v53) | c_Orderings_Oord__class_Oless(v54, v58, v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semidom(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless(v54, v58, v53) | c_Orderings_Oord__class_Oless(v54, v58, v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semidom(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v53) | c_Orderings_Oord__class_Oless__eq(v54, v58, v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Olinordered__semidom(v54) | ? [v58] : (c_Groups_Oone__class_Oone(v54) = v58 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v53) | c_Orderings_Oord__class_Oless__eq(v54, v58, v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Ozero__neq__one(v54) | ~ class_Rings_Ono__zero__divisors(v54) | ~ class_Rings_Omult__zero(v54) | ~ class_Power_Opower(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ (v58 = v57) | (v57 = v53 & ~ (v52 = v15))) & ( ~ (v58 = v53) | v57 = v53 | v52 = v15))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v55, v53) = v56) | ~ class_Rings_Oring__1__no__zero__divisors(v54) | ? [v58] : (c_Groups_Ozero__class_Ozero(v54) = v58 & ( ~ (v58 = v57) | v57 = v53))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ class_Rings_Olinordered__semidom(v54) | c_Orderings_Oord__class_Oless(v54, v53, v52) | ? [v58] : ? [v59] : ((c_Groups_Ozero__class_Ozero(v54) = v58 & ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v52)) | (hAPP(v57, v3) = v59 & hAPP(v56, v3) = v58 & ~ c_Orderings_Oord__class_Oless(v54, v58, v59)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ class_Rings_Olinordered__semidom(v54) | c_Orderings_Oord__class_Oless__eq(v54, v53, v52) | ? [v58] : ? [v59] : ((c_Groups_Ozero__class_Ozero(v54) = v58 & ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v52)) | (hAPP(v57, v3) = v59 & hAPP(v56, v3) = v58 & ~ c_Orderings_Oord__class_Oless__eq(v54, v58, v59)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (c_Power_Opower__class_Opower(v54) = v55) | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ class_Rings_Oidom(v54) | ? [v58] : ? [v59] : ? [v60] : ((v53 = v52 | (v60 = v53 & c_Groups_Ouminus__class_Ouminus(v54, v52) = v53) | ( ~ (v59 = v58) & hAPP(v57, v3) = v59 & hAPP(v56, v3) = v58)) & ((v59 = v58 & hAPP(v57, v3) = v58 & hAPP(v56, v3) = v58) | ( ~ (v60 = v53) & ~ (v53 = v52) & c_Groups_Ouminus__class_Ouminus(v54, v52) = v60)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v56, v52) = v57) | ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v11, v53) = v54) | ~ (hAPP(v11, v52) = v56) | ? [v58] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v55) = v58 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v58, v57))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v54) = v56) | ~ (hAPP(v55, v53) = v57) | ~ (hAPP(v16, v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v53) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v54) = v56) | ~ (hAPP(v55, v53) = v57) | ~ (hAPP(v16, v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v53) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v54) = v56) | ~ (hAPP(v55, v53) = v57) | ~ (hAPP(v12, v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v36, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v56, v57) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v54) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v16, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v56, v57) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v54) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v16, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v56, v57) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v16, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v56, v57) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v16, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v54) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v16, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v56, v57) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v16, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v16, v54) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v16, v54) = v55) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v54) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v11, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v52) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v11, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v56, v57) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ! [v57] : ( ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v57) | ~ (hAPP(v11, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v56, v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v55 | v53 = v10 | ~ (hAPP(v54, v52) = v56) | ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v11, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v55 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v55) = v56) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OPls)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v55 | ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v56) | ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Ocancel__semigroup__add(v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v55 | ~ (c_Groups_Oplus__class_Oplus(v54, v52, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(v54, v52, v53) = v55) | ~ class_Groups_Ocancel__semigroup__add(v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v55 | ~ (hAPP(v54, v52) = v56) | ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v16, v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v55 | ~ (hAPP(v54, v52) = v56) | ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v16, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v54 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v55) = v56) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OPls)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v10 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v55) = v56) | ~ (hAPP(v54, v10) = v55) | ~ (hAPP(v52, v10) = v53) | ~ (hAPP(v11, v10) = v54) | ~ (hAPP(v11, v10) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v56 = v10 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v55) = v56) | ~ (hAPP(v54, v3) = v55) | ~ (hAPP(v52, v3) = v53) | ~ (hAPP(v7, v10) = v54) | ~ (hAPP(v7, v10) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v55 = v53 | ~ (c_Complex_Ocomplex_OComplex(v55, v54) = v56) | ~ (c_Complex_Ocomplex_OComplex(v53, v52) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v55 = v15 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v55) | ~ (hAPP(v54, v55) = v56) | ~ (hAPP(v36, v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v56) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v53 | ~ (hAPP(v55, v54) = v56) | ~ (hAPP(v52, v53) = v55) | hBOOL(v56) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v52 | ~ (c_Complex_Ocomplex_OComplex(v55, v54) = v56) | ~ (c_Complex_Ocomplex_OComplex(v53, v52) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v52 | ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v52, v53) = v56) | ~ class_Groups_Ocancel__semigroup__add(v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v15 | v53 = v52 | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v16, v54) = v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v54 = v10 | v53 = v52 | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v11, v54) = v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v53 = v52 | ~ (c_Rings_Oinverse__class_Odivide(v56, v55, v54) = v53) | ~ (c_Rings_Oinverse__class_Odivide(v56, v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v53 = v52 | ~ (c_Power_Opower_Opower(v56, v55, v54) = v53) | ~ (c_Power_Opower_Opower(v56, v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v53 = v52 | ~ (c_Complex_Ocomplex_Ocomplex__case(v56, v55, v54) = v53) | ~ (c_Complex_Ocomplex_Ocomplex__case(v56, v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v53 = v52 | ~ (c_Complex_Ocomplex_Ocomplex__rec(v56, v55, v54) = v53) | ~ (c_Complex_Ocomplex_Ocomplex__rec(v56, v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v53 = v52 | ~ (c_Groups_Oplus__class_Oplus(v56, v55, v54) = v53) | ~ (c_Groups_Oplus__class_Oplus(v56, v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v53 = v52 | ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v56) | ~ class_Groups_Ocancel__ab__semigroup__add(v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v53 = v52 | ~ (c_Groups_Oplus__class_Oplus(v55, v54, v53) = v56) | ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v56) | ~ class_Groups_Ocancel__semigroup__add(v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : (v53 = v52 | ~ (hAPP(v55, v53) = v56) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v16, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v55, v52) = v56) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ class_RealVector_Oreal__normed__field(v54) | ? [v57] : (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v57 & c_Groups_Ouminus__class_Ouminus(v54, v57) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v55, v52) = v56) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ class_Rings_Odivision__ring(v54) | ? [v57] : (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v57 & c_Groups_Ouminus__class_Ouminus(v54, v57) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v55) = v56) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v55) | ~ class_Fields_Ofield__inverse__zero(v54) | ? [v57] : (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v57 & c_Groups_Ouminus__class_Ouminus(v54, v57) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v52, v55) = v56) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ class_Rings_Odivision__ring(v54) | ? [v57] : ? [v58] : ((v58 = v56 & c_Rings_Oinverse__class_Odivide(v54, v52, v53) = v57 & c_Groups_Ouminus__class_Ouminus(v54, v57) = v56) | (v57 = v53 & c_Groups_Ozero__class_Ozero(v54) = v53))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Rings_Oinverse__class_Odivide(v53, v54, v52) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v53, v55) = v56) | ~ (c_Groups_Oone__class_Oone(v53) = v54) | ~ class_Fields_Ofield__inverse__zero(v53) | ~ class_Int_Onumber__ring(v53) | ? [v57] : (c_Rings_Oinverse__class_Odivide(v53, v57, v52) = v56 & c_Int_Onumber__class_Onumber__of(v53, c_Int_OMin) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v54, v55) = v56) | ~ (c_NthRoot_Osqrt(v53) = v54) | ~ (c_NthRoot_Osqrt(v52) = v55) | ? [v57] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v52) = v57 & c_NthRoot_Osqrt(v57) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v55) = v54) | ~ (hAPP(v24, v54) = v56) | ~ (hAPP(v24, v52) = v55) | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v52) = v56) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (tc_fun(v54, v55) = v56) | ~ c_Orderings_Oord__class_Oless(v56, v53, v52) | ~ class_Orderings_Oord(v55) | ~ c_Orderings_Oord__class_Oless__eq(v56, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (tc_fun(v54, v55) = v56) | ~ c_Orderings_Oord__class_Oless(v56, v53, v52) | ~ class_Orderings_Oord(v55) | c_Orderings_Oord__class_Oless__eq(v56, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (tc_fun(v54, v55) = v56) | ~ class_Orderings_Oord(v55) | ~ c_Orderings_Oord__class_Oless__eq(v56, v53, v52) | c_Orderings_Oord__class_Oless(v56, v53, v52) | c_Orderings_Oord__class_Oless__eq(v56, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_NthRoot_Osqrt(v53) = v54) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v7, v54) = v55) | ? [v57] : ? [v58] : (c_NthRoot_Osqrt(v58) = v56 & hAPP(v57, v52) = v58 & hAPP(v7, v53) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v56) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v55) | ~ c_Orderings_Oord__class_Oless(v54, v53, v55) | ~ class_Groups_Oordered__ab__group__add(v54) | c_Orderings_Oord__class_Oless(v54, v52, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v56) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v55) | ~ c_Orderings_Oord__class_Oless(v54, v52, v56) | ~ class_Groups_Oordered__ab__group__add(v54) | c_Orderings_Oord__class_Oless(v54, v53, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v56) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v55) | ~ class_Groups_Oordered__ab__group__add(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v55) | c_Orderings_Oord__class_Oless__eq(v54, v52, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v56) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v55) | ~ class_Groups_Oordered__ab__group__add(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v52) | c_Orderings_Oord__class_Oless__eq(v54, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v56) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v55) | ~ class_Groups_Oordered__ab__group__add(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v56) | c_Orderings_Oord__class_Oless__eq(v54, v53, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless(v54, v56, v53) | ~ class_Groups_Oordered__ab__group__add(v54) | c_Orderings_Oord__class_Oless(v54, v55, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless(v54, v55, v56) | ~ class_Groups_Oordered__ab__group__add(v54) | c_Orderings_Oord__class_Oless(v54, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless(v54, v55, v52) | ~ class_Groups_Oordered__ab__group__add(v54) | c_Orderings_Oord__class_Oless(v54, v56, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless(v54, v52, v53) | ~ class_Groups_Oordered__ab__group__add(v54) | c_Orderings_Oord__class_Oless(v54, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v56) | ~ class_Groups_Oordered__ab__group__add(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v53) | c_Orderings_Oord__class_Oless__eq(v54, v55, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v56) | ~ class_Groups_Oordered__ab__group__add(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v55, v56) | c_Orderings_Oord__class_Oless__eq(v54, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v56) | ~ class_Groups_Oordered__ab__group__add(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v55, v52) | c_Orderings_Oord__class_Oless__eq(v54, v56, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v56) | ~ class_Groups_Oordered__ab__group__add(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v53) | c_Orderings_Oord__class_Oless__eq(v54, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v55) | ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v54, v55) = v56) | ~ class_Rings_Oring__1(v53) | ? [v57] : ? [v58] : (hAPP(v58, v3) = v57 & hAPP(v56, v3) = v57 & hAPP(v54, v52) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v53) = v54) | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v55) = v56) | ? [v57] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v57) = v56 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v53) = v54) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v12, v54) = v55) | ? [v57] : ? [v58] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v58) = v56 & hAPP(v57, v52) = v58 & hAPP(v12, v53) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v52) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v54) = v55) | ~ class_Int_Onumber__ring(v53) | ? [v57] : ? [v58] : (( ~ c_Int_Oiszero(v53, v56) | (v58 = v57 & c_Int_Onumber__class_Onumber__of(v53, v52) = v57 & c_Groups_Oone__class_Oone(v53) = v57)) & (c_Int_Oiszero(v53, v56) | ( ~ (v58 = v57) & c_Int_Onumber__class_Onumber__of(v53, v52) = v58 & c_Groups_Oone__class_Oone(v53) = v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v52) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, v55) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, v54) = v55) | ~ class_Int_Onumber__ring(v53) | ? [v57] : ? [v58] : (( ~ c_Int_Oiszero(v53, v56) | (v58 = v57 & c_Groups_Ozero__class_Ozero(v53) = v57 & c_Int_Onumber__class_Onumber__of(v53, v52) = v57)) & (c_Int_Oiszero(v53, v56) | ( ~ (v58 = v57) & c_Groups_Ozero__class_Ozero(v53) = v57 & c_Int_Onumber__class_Onumber__of(v53, v52) = v58)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v53) = v54) | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v52) = v55) | ~ (c_Complex_Ocomplex_OComplex(v54, v55) = v56) | ? [v57] : (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v57) = v56 & c_Complex_Ocomplex_OComplex(v53, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Ozero__class_Ozero(v52) = v54) | ~ (c_Power_Opower__class_Opower(v52) = v53) | ~ (hAPP(v55, v15) = v56) | ~ (hAPP(v53, v54) = v55) | ~ class_Rings_Osemiring__0(v52) | ~ class_Power_Opower(v52) | c_Groups_Oone__class_Oone(v52) = v56) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Olinordered__ring(v53) | ? [v57] : (c_Groups_Ozero__class_Ozero(v53) = v57 & c_Orderings_Oord__class_Oless__eq(v53, v57, v56))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Olinordered__ring(v53) | ? [v57] : (c_Groups_Ozero__class_Ozero(v53) = v57 & ~ c_Orderings_Oord__class_Oless(v53, v56, v57))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Ocomm__semiring__1(v53) | ? [v57] : ? [v58] : (c_Power_Opower__class_Opower(v53) = v57 & hAPP(v58, v3) = v56 & hAPP(v57, v52) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Oring__1__no__zero__divisors(v53) | ? [v57] : ? [v58] : (c_Groups_Oone__class_Oone(v53) = v57 & ( ~ (v57 = v56) | v56 = v52 | (v58 = v52 & c_Groups_Ouminus__class_Ouminus(v53, v56) = v52)) & (v57 = v56 | ( ~ (v58 = v52) & ~ (v57 = v52) & c_Groups_Ouminus__class_Ouminus(v53, v57) = v58)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Otimes__class_Otimes(v53) = v54) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v54, v52) = v55) | ~ class_Groups_Omonoid__mult(v53) | ? [v57] : ? [v58] : (c_Power_Opower__class_Opower(v53) = v57 & hAPP(v58, v3) = v56 & hAPP(v57, v52) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_OBit0(v53) = v54) | ~ (c_Int_OBit0(v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v55) = v56) | ? [v57] : (c_Int_OBit0(v57) = v56 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_OBit0(v53) = v54) | ~ (c_Int_OBit1(v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v55) = v56) | ? [v57] : (c_Int_OBit1(v57) = v56 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_OBit0(v53) = v54) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v12, v54) = v55) | ? [v57] : ? [v58] : (c_Int_OBit0(v58) = v56 & hAPP(v57, v52) = v58 & hAPP(v12, v53) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_OBit0(v52) = v55) | ~ (c_Int_OBit1(v53) = v54) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v55) = v56) | ? [v57] : (c_Int_OBit1(v57) = v56 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_Onumber__class_Onumber__of(v54, v53) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless(v54, v56, v55) | ~ class_Orderings_Olinorder(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v55, v56) | ~ class_Int_Onumber(v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_Onumber__class_Onumber__of(v54, v53) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless(v54, v55, v56) | ~ class_Rings_Olinordered__idom(v54) | ~ class_Int_Onumber__ring(v54) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_Onumber__class_Onumber__of(v54, v53) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52) | ~ class_Rings_Olinordered__idom(v54) | ~ class_Int_Onumber__ring(v54) | c_Orderings_Oord__class_Oless(v54, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_Onumber__class_Onumber__of(v54, v53) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v54, v52) = v56) | ~ class_Orderings_Olinorder(v54) | ~ class_Int_Onumber(v54) | c_Orderings_Oord__class_Oless(v54, v56, v55) | c_Orderings_Oord__class_Oless__eq(v54, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_Onumber__class_Onumber__of(v54, v53) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless__eq(v54, v55, v56) | ~ class_Rings_Olinordered__idom(v54) | ~ class_Int_Onumber__ring(v54) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_Onumber__class_Onumber__of(v54, v53) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | ~ class_Rings_Olinordered__idom(v54) | ~ class_Int_Onumber__ring(v54) | c_Orderings_Oord__class_Oless__eq(v54, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v55) = v56) | ? [v57] : (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v57) = v56 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v55) = v56) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OPls) | ? [v57] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v57) = v56 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v54) | ~ (hAPP(v55, v54) = v56) | ~ (hAPP(v36, v53) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless(v55, v53, v52) | ~ class_Groups_Oordered__comm__monoid__add(v55) | c_Orderings_Oord__class_Oless(v55, v53, v56) | ? [v57] : (c_Groups_Ozero__class_Ozero(v55) = v57 & ~ c_Orderings_Oord__class_Oless__eq(v55, v57, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless(v55, v53, v52) | ~ class_Rings_Olinordered__semidom(v55) | c_Orderings_Oord__class_Oless(v55, v53, v56) | ? [v57] : (c_Groups_Ozero__class_Ozero(v55) = v57 & ~ c_Orderings_Oord__class_Oless(v55, v57, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v56) | ~ class_Groups_Oordered__comm__monoid__add(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v52) | c_Orderings_Oord__class_Oless(v55, v53, v56) | ? [v57] : (c_Groups_Ozero__class_Ozero(v55) = v57 & ~ c_Orderings_Oord__class_Oless(v55, v57, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v54, v52) = v56) | ~ class_Groups_Oordered__comm__monoid__add(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v52) | c_Orderings_Oord__class_Oless__eq(v55, v53, v56) | ? [v57] : (c_Groups_Ozero__class_Ozero(v55) = v57 & ~ c_Orderings_Oord__class_Oless__eq(v55, v57, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(v55, v52, v54) = v56) | ~ class_Groups_Oordered__comm__monoid__add(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v52) | c_Orderings_Oord__class_Oless__eq(v55, v53, v56) | ? [v57] : (c_Groups_Ozero__class_Ozero(v55) = v57 & ~ c_Orderings_Oord__class_Oless__eq(v55, v57, v54))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v55, v52) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v53) = v55) | ? [v57] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v57) = v56 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v55) = v56) | ? [v57] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v57) = v56 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v56) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v53) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v56) = v54) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v12, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v54) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v56) = v54) | ~ (hAPP(v55, v52) = v56) | ~ (hAPP(v12, v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v53) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, v4)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, v53) = v56) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v53) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v55, v52) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v53) = v55) | ? [v57] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v57) = v56 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v55, v52) = v56) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v54) = v56) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v55, v54) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v53) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v55, v56) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v53) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v53) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v55, v56) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v53) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v52) = v56) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v55) = v56) | ? [v57] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v57) = v56 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v56) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v56) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v53) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v55) = v56) | ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v16, v53) = v54) | ? [v57] : (c_Nat_OSuc(v52) = v57 & hAPP(v54, v57) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v55) = v56) | ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v16, v53) = v54) | ? [v57] : ? [v58] : (c_Nat_OSuc(v53) = v57 & hAPP(v58, v52) = v56 & hAPP(v16, v57) = v58)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v52, v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v52, v53) = v56) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v53) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v55, v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (c_Rings_Oinverse__class_Odivide(v53, v54, v52) = v55) | ~ (c_Groups_Ozero__class_Ozero(v53) = v54) | ~ class_RealVector_Oreal__normed__field(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (c_Rings_Oinverse__class_Odivide(v53, v54, v52) = v55) | ~ (c_Groups_Ozero__class_Ozero(v53) = v54) | ~ class_Rings_Odivision__ring(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (c_Rings_Oinverse__class_Odivide(v53, v52, v54) = v55) | ~ (c_Groups_Ozero__class_Ozero(v53) = v54) | ~ class_Rings_Odivision__ring__inverse__zero(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ class_Groups_Ogroup__add(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (c_Complex_Ocomplex_OComplex(v53, v52) = v55) | ~ (c_Complex_Ocomplex_OComplex(v53, v52) = v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (c_Complex_Ocomplex_OComplex(v53, v10) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v52) = v55) | ? [v56] : ( ~ (v56 = v53) & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v52) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v54) | ~ class_Int_Oring__char__0(v53) | ~ class_Int_Onumber__ring(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v53) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v54 | ~ (hAPP(v29, v53) = v54) | ~ (hAPP(v29, v52) = v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v53 | ~ (c_NthRoot_Osqrt(v52) = v55) | ~ (hAPP(v7, v53) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v53) | ? [v56] : ( ~ (v56 = v52) & hAPP(v54, v3) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v53 | ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v52) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v55) | ~ class_Groups_Ogroup__add(v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v52 | ~ (c_Rings_Oinverse__class_Odivide(v53, v52, v54) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v53, v1) = v54) | ~ class_Fields_Ofield(v53) | ~ class_Int_Onumber__ring(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v52 | ~ (c_Rings_Oinverse__class_Odivide(v53, v52, v54) = v55) | ~ (c_Groups_Oone__class_Oone(v53) = v54) | ~ class_Rings_Odivision__ring(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v52 | ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v53) | ~ class_Groups_Ogroup__add(v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v52 | ~ (c_Groups_Ouminus__class_Ouminus(v53, v54) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ class_Groups_Ogroup__add(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v52 | ~ (c_Groups_Ozero__class_Ozero(v53) = v54) | ~ (c_Groups_Oplus__class_Oplus(v53, v54, v52) = v55) | ~ class_Groups_Ocomm__monoid__add(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v52 | ~ (c_Groups_Ozero__class_Ozero(v53) = v54) | ~ (c_Groups_Oplus__class_Oplus(v53, v54, v52) = v55) | ~ class_Groups_Omonoid__add(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v52 | ~ (c_Groups_Ozero__class_Ozero(v53) = v54) | ~ (c_Groups_Oplus__class_Oplus(v53, v54, v52) = v55) | ~ class_Rings_Ocomm__semiring__1(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v52 | ~ (c_Groups_Ozero__class_Ozero(v53) = v54) | ~ (c_Groups_Oplus__class_Oplus(v53, v52, v54) = v55) | ~ class_Groups_Ocomm__monoid__add(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v52 | ~ (c_Groups_Ozero__class_Ozero(v53) = v54) | ~ (c_Groups_Oplus__class_Oplus(v53, v52, v54) = v55) | ~ class_Groups_Omonoid__add(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v52 | ~ (c_Groups_Ozero__class_Ozero(v53) = v54) | ~ (c_Groups_Oplus__class_Oplus(v53, v52, v54) = v55) | ~ class_Rings_Ocomm__semiring__1(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v52 | ~ (c_Int_Onumber__class_Onumber__of(v53, c_Int_OPls) = v54) | ~ (c_Groups_Oplus__class_Oplus(v53, v54, v52) = v55) | ~ class_Int_Onumber__ring(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v55 = v52 | ~ (c_Int_Onumber__class_Onumber__of(v53, c_Int_OPls) = v54) | ~ (c_Groups_Oplus__class_Oplus(v53, v52, v54) = v55) | ~ class_Int_Onumber__ring(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v54 = v52 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v53) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v53) = v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v53 = v52 | ~ (c_Groups_Oabs__class_Oabs(v55, v54) = v53) | ~ (c_Groups_Oabs__class_Oabs(v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v53 = v52 | ~ (tc_fun(v55, v54) = v53) | ~ (tc_fun(v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v53 = v52 | ~ (c_Nat_Osize__class_Osize(v55, v54) = v53) | ~ (c_Nat_Osize__class_Osize(v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v53 = v52 | ~ (c_Groups_Ouminus__class_Ouminus(v55, v54) = v53) | ~ (c_Groups_Ouminus__class_Ouminus(v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v53 = v52 | ~ (c_Groups_Ouminus__class_Ouminus(v54, v53) = v55) | ~ (c_Groups_Ouminus__class_Ouminus(v54, v52) = v55) | ~ class_Groups_Ogroup__add(v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v53 = v52 | ~ (c_RealVector_Onorm__class_Onorm(v55, v54) = v53) | ~ (c_RealVector_Onorm__class_Onorm(v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v53 = v52 | ~ (c_Complex_Ocomplex_OComplex(v55, v54) = v53) | ~ (c_Complex_Ocomplex_OComplex(v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v53 = v52 | ~ (c_Int_Onumber__class_Onumber__of(v55, v54) = v53) | ~ (c_Int_Onumber__class_Onumber__of(v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v53 = v52 | ~ (c_Int_Onumber__class_Onumber__of(v54, v53) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v54, v52) = v55) | ~ class_Int_Oring__char__0(v54) | ~ class_Int_Onumber__ring(v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v53 = v52 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v53) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v52) = v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v53 = v52 | ~ (hAPP(v55, v54) = v53) | ~ (hAPP(v55, v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v53 = v10 | ~ (c_Complex_Ocomplex_OComplex(v54, v53) = v55) | ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v52) = v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v52 = v15 | ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v36, v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v55) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : (v52 = v15 | ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v14, v53) = v54) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v53) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Transcendental_Oarctan(v53) = v54) | ~ (c_Transcendental_Oarctan(v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v52) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Transcendental_Oarctan(v53) = v54) | ~ (c_Transcendental_Oarctan(v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v55) | ~ class_Fields_Olinordered__field(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v56, v53) | ~ c_Orderings_Oord__class_Oless(v54, v56, v52) | c_Orderings_Oord__class_Oless(v54, v56, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v55) | ~ class_Fields_Olinordered__field(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v56, v53) | ~ c_Orderings_Oord__class_Oless(v54, v52, v56) | c_Orderings_Oord__class_Oless(v54, v55, v56)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v55) | ~ class_Fields_Olinordered__field(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v56, v52) | ~ c_Orderings_Oord__class_Oless(v54, v53, v56) | c_Orderings_Oord__class_Oless(v54, v55, v56)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v55) | ~ class_Fields_Olinordered__field(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v56, v52) | ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v53) | c_Orderings_Oord__class_Oless__eq(v54, v56, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v55) | ~ class_Fields_Olinordered__field(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v56, v52) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v56) | c_Orderings_Oord__class_Oless__eq(v54, v55, v56)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v55) | ~ class_Fields_Olinordered__field(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v53, v56) | ~ c_Orderings_Oord__class_Oless(v54, v52, v56) | c_Orderings_Oord__class_Oless(v54, v56, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v55) | ~ class_Fields_Olinordered__field(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v52, v56) | ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v53) | c_Orderings_Oord__class_Oless__eq(v54, v55, v56)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v55) | ~ class_Fields_Olinordered__field(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v52, v56) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v56) | c_Orderings_Oord__class_Oless__eq(v54, v56, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v55) | ~ class_Fields_Olinordered__field__inverse__zero(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v56, v55) | (c_Orderings_Oord__class_Oless(v54, v56, v53) & c_Orderings_Oord__class_Oless(v54, v56, v52)) | (c_Orderings_Oord__class_Oless(v54, v53, v56) & c_Orderings_Oord__class_Oless(v54, v52, v56))) & (c_Orderings_Oord__class_Oless(v54, v56, v55) | (( ~ c_Orderings_Oord__class_Oless(v54, v56, v53) | ~ c_Orderings_Oord__class_Oless(v54, v56, v52)) & ( ~ c_Orderings_Oord__class_Oless(v54, v53, v56) | ~ c_Orderings_Oord__class_Oless(v54, v52, v56)))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v55) | ~ class_Fields_Olinordered__field__inverse__zero(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v55, v56) | (c_Orderings_Oord__class_Oless(v54, v56, v53) & c_Orderings_Oord__class_Oless(v54, v52, v56)) | (c_Orderings_Oord__class_Oless(v54, v56, v52) & c_Orderings_Oord__class_Oless(v54, v53, v56))) & (c_Orderings_Oord__class_Oless(v54, v55, v56) | (( ~ c_Orderings_Oord__class_Oless(v54, v56, v53) | ~ c_Orderings_Oord__class_Oless(v54, v52, v56)) & ( ~ c_Orderings_Oord__class_Oless(v54, v56, v52) | ~ c_Orderings_Oord__class_Oless(v54, v53, v56)))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v55) | ~ class_Fields_Olinordered__field__inverse__zero(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v55) | (c_Orderings_Oord__class_Oless__eq(v54, v56, v53) & c_Orderings_Oord__class_Oless__eq(v54, v56, v52)) | (c_Orderings_Oord__class_Oless__eq(v54, v53, v56) & c_Orderings_Oord__class_Oless__eq(v54, v52, v56))) & (c_Orderings_Oord__class_Oless__eq(v54, v56, v55) | (( ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v52)) & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v56) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v56)))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v53, v52) = v55) | ~ class_Fields_Olinordered__field__inverse__zero(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v55, v56) | (c_Orderings_Oord__class_Oless__eq(v54, v56, v53) & c_Orderings_Oord__class_Oless__eq(v54, v52, v56)) | (c_Orderings_Oord__class_Oless__eq(v54, v56, v52) & c_Orderings_Oord__class_Oless__eq(v54, v53, v56))) & (c_Orderings_Oord__class_Oless__eq(v54, v55, v56) | (( ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v56)) & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v52) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v56)))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v54, v52, v53) = v55) | ~ class_Rings_Odivision__ring(v54) | ? [v56] : ((v56 = v53 & c_Groups_Ozero__class_Ozero(v54) = v53) | (( ~ (v53 = v52) | (v56 = v55 & c_Groups_Oone__class_Oone(v54) = v55)) & (v53 = v52 | ( ~ (v56 = v55) & c_Groups_Oone__class_Oone(v54) = v56))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v53, v52, v54) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v53, v2) = v54) | ~ class_Fields_Olinordered__field__inverse__zero(v53) | ~ class_Int_Onumber__ring(v53) | ? [v56] : (c_Groups_Ozero__class_Ozero(v53) = v56 & ( ~ c_Orderings_Oord__class_Oless(v53, v56, v55) | c_Orderings_Oord__class_Oless(v53, v56, v52)) & ( ~ c_Orderings_Oord__class_Oless(v53, v56, v52) | c_Orderings_Oord__class_Oless(v53, v56, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v53, v52, v54) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v53, v2) = v54) | ~ class_Fields_Olinordered__field__inverse__zero(v53) | ~ class_Int_Onumber__ring(v53) | ? [v56] : (c_Groups_Ozero__class_Ozero(v53) = v56 & ( ~ c_Orderings_Oord__class_Oless(v53, v56, v52) | c_Orderings_Oord__class_Oless(v53, v56, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v53, v52, v54) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v53, c_Int_OMin) = v54) | ~ class_Fields_Ofield__inverse__zero(v53) | ~ class_Int_Onumber__ring(v53) | c_Groups_Ouminus__class_Ouminus(v53, v52) = v55) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v53, v52, v54) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v53, c_Int_OPls) = v54) | ~ class_Fields_Ofield__inverse__zero(v53) | ~ class_Int_Onumber__ring(v53) | c_Groups_Ozero__class_Ozero(v53) = v55) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Rings_Oinverse__class_Odivide(v52, v53, v54) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v52, v2) = v54) | ~ (c_Groups_Oone__class_Oone(v52) = v53) | ~ class_Fields_Olinordered__field__inverse__zero(v52) | ~ class_Int_Onumber__ring(v52) | ? [v56] : (c_Groups_Ozero__class_Ozero(v52) = v56 & c_Orderings_Oord__class_Oless(v52, v56, v55))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Power_Opower_Opower(v52, v53, v54) = v55) | ~ (c_Groups_Otimes__class_Otimes(v52) = v54) | ~ (c_Groups_Oone__class_Oone(v52) = v53) | ~ class_Power_Opower(v52) | c_Power_Opower__class_Opower(v52) = v55) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Nat_OSuc(v55) = v53) | ~ (c_Nat_OSuc(v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v55, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v54)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Nat_OSuc(v54) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v53) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v55, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Nat_OSuc(v53) = v54) | ~ (c_Nat_OSuc(v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v55) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Nat_OSuc(v53) = v54) | ~ (c_Nat_OSuc(v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Nat_OSuc(v53) = v54) | ~ (c_Nat_OSuc(v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v55) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Nat_OSuc(v53) = v54) | ~ (c_Nat_OSuc(v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Nat_OSuc(v53) = v54) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v52) = v55) | ? [v56] : (c_Nat_OSuc(v56) = v55 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Nat_OSuc(v53) = v54) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v52) = v55) | ? [v56] : (c_Nat_OSuc(v52) = v56 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v56) = v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Nat_OSuc(v52) = v54) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v54) = v55) | ? [v56] : (c_Nat_OSuc(v56) = v55 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_NthRoot_Osqrt(v53) = v54) | ~ (c_NthRoot_Osqrt(v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v54, v55) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_NthRoot_Osqrt(v53) = v54) | ~ (c_NthRoot_Osqrt(v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v52) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_NthRoot_Osqrt(v53) = v54) | ~ (c_NthRoot_Osqrt(v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v55) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_NthRoot_Osqrt(v53) = v54) | ~ (c_NthRoot_Osqrt(v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ (c_RealVector_Onorm__class_Onorm(v53, v54) = v55) | ~ class_RealVector_Oreal__normed__vector(v53) | c_RealVector_Onorm__class_Onorm(v53, v52) = v55) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ (c_Groups_Oplus__class_Oplus(v53, v54, v52) = v55) | ~ class_Groups_Oab__group__add(v53) | c_Groups_Ozero__class_Ozero(v53) = v55) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ (c_Groups_Oplus__class_Oplus(v53, v54, v52) = v55) | ~ class_Groups_Ogroup__add(v53) | c_Groups_Ozero__class_Ozero(v53) = v55) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ (c_Groups_Oplus__class_Oplus(v53, v52, v54) = v55) | ~ class_Groups_Ogroup__add(v53) | c_Groups_Ozero__class_Ozero(v53) = v55) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v52) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, v54) = v55) | ~ class_Int_Onumber__ring(v53) | ? [v56] : (c_Groups_Ouminus__class_Ouminus(v53, v56) = v55 & c_Int_Onumber__class_Onumber__of(v53, v52) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v52) = v54) | ~ (c_Complex_Ocomplex_OComplex(v54, v53) = v55) | ? [v56] : ? [v57] : (c_Complex_Ocomplex_OComplex(v53, v52) = v56 & hAPP(v57, c_Complex_Oii) = v55 & hAPP(v43, v56) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v52) = v54) | ~ (c_Complex_Ocomplex_OComplex(v54, v53) = v55) | ? [v56] : (c_Complex_Ocomplex_OComplex(v53, v52) = v56 & hAPP(v44, v56) = v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Ozero__class_Ozero(v52) = v54) | ~ (c_Power_Opower__class_Opower(v52) = v53) | ~ (hAPP(v53, v54) = v55) | ~ class_Rings_Osemiring__1(v52) | hAPP(v55, v3) = v54) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_RealVector_Onorm__class_Onorm(v53, v54) = v55) | ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v54) | ~ class_RealVector_Oreal__normed__algebra__1(v53) | ~ class_Int_Onumber__ring(v53) | ? [v56] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v56) = v55 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v52) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Complex_Ocomplex_OComplex(v54, v53) = v55) | ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v52) = v55) | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v52) = v54) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v53) = v54) | ~ (c_Int_OBit0(v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v55) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v53) = v54) | ~ (c_Int_OBit0(v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v53) = v54) | ~ (c_Int_OBit0(v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v55) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v53) = v54) | ~ (c_Int_OBit0(v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v53) = v54) | ~ (c_Int_OBit1(v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v55) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v53) = v54) | ~ (c_Int_OBit1(v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v55) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v53) = v54) | ~ (c_Int_OBit1(v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v53) = v54) | ~ (c_Int_OBit1(v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v52) = v55) | ~ (c_Int_OBit1(v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v55) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v52) = v55) | ~ (c_Int_OBit1(v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v52) = v55) | ~ (c_Int_OBit1(v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v52) = v55) | ~ (c_Int_OBit1(v53) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v55) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit0(v52) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, v54) = v55) | ~ class_Int_Oring__char__0(v53) | ~ class_Int_Onumber__ring(v53) | ? [v56] : (( ~ c_Int_Oiszero(v53, v55) | (c_Int_Onumber__class_Onumber__of(v53, v52) = v56 & c_Int_Oiszero(v53, v56))) & (c_Int_Oiszero(v53, v55) | (c_Int_Onumber__class_Onumber__of(v53, v52) = v56 & ~ c_Int_Oiszero(v53, v56))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit1(v53) = v54) | ~ (c_Int_OBit1(v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v55) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit1(v53) = v54) | ~ (c_Int_OBit1(v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit1(v53) = v54) | ~ (c_Int_OBit1(v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v55) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit1(v53) = v54) | ~ (c_Int_OBit1(v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_OBit1(v52) = v54) | ~ (c_Int_Onumber__class_Onumber__of(v53, v54) = v55) | ~ c_Int_Oiszero(v53, v55) | ~ class_Int_Oring__char__0(v53) | ~ class_Int_Onumber__ring(v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, v31) = v54) | ~ class_Int_Onumber__ring(v53) | ? [v56] : ? [v57] : (( ~ c_Int_Oiszero(v53, v55) | (v57 = v56 & c_Int_Onumber__class_Onumber__of(v53, v52) = v56 & c_Groups_Oone__class_Oone(v53) = v56)) & (c_Int_Oiszero(v53, v55) | ( ~ (v57 = v56) & c_Int_Onumber__class_Onumber__of(v53, v52) = v56 & c_Groups_Oone__class_Oone(v53) = v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, v1) = v54) | ~ class_Int_Onumber__ring(v53) | ? [v56] : ? [v57] : (c_Int_Onumber__class_Onumber__of(v53, v52) = v56 & c_Groups_Oplus__class_Oplus(v53, v56, v57) = v55 & c_Groups_Oone__class_Oone(v53) = v57)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, c_Int_OPls) = v54) | ~ class_Int_Onumber__ring(v53) | ? [v56] : ? [v57] : (( ~ c_Int_Oiszero(v53, v55) | (v57 = v56 & c_Groups_Ozero__class_Ozero(v53) = v56 & c_Int_Onumber__class_Onumber__of(v53, v52) = v56)) & (c_Int_Oiszero(v53, v55) | ( ~ (v57 = v56) & c_Groups_Ozero__class_Ozero(v53) = v57 & c_Int_Onumber__class_Onumber__of(v53, v52) = v56)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v54) = v55) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v52) = v54) | ~ class_Int_Onumber__ring(v53) | ? [v56] : ? [v57] : (c_Int_Onumber__class_Onumber__of(v53, v52) = v57 & c_Groups_Oplus__class_Oplus(v53, v56, v57) = v55 & c_Groups_Oone__class_Oone(v53) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v55) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v55) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v55) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v55) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v53) = v54) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v55) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, c_Int_OPls)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v15) | ~ (hAPP(v54, v15) = v55) | ~ (hAPP(v36, v53) = v54) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Oordered__comm__monoid__add(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v56, v53) | ~ c_Orderings_Oord__class_Oless(v54, v56, v52) | c_Orderings_Oord__class_Oless(v54, v56, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Oordered__comm__monoid__add(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v56, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v52) | c_Orderings_Oord__class_Oless(v54, v56, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Oordered__comm__monoid__add(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v56, v52) | ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v53) | c_Orderings_Oord__class_Oless(v54, v56, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Oordered__comm__monoid__add(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v53, v56) | ~ c_Orderings_Oord__class_Oless(v54, v52, v56) | c_Orderings_Oord__class_Oless(v54, v55, v56)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Oordered__comm__monoid__add(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v53, v56) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v56) | c_Orderings_Oord__class_Oless(v54, v55, v56)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Oordered__comm__monoid__add(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless(v54, v52, v56) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v56) | c_Orderings_Oord__class_Oless(v54, v55, v56)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Oordered__comm__monoid__add(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v52) | c_Orderings_Oord__class_Oless__eq(v54, v56, v55)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Oordered__comm__monoid__add(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v53) | ~ c_Orderings_Oord__class_Oless__eq(v54, v56, v52) | (( ~ (v56 = v55) | (v55 = v52 & v53 = v52)) & ( ~ (v56 = v52) | ~ (v53 = v52) | v55 = v52))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Oordered__comm__monoid__add(v54) | ? [v56] : (c_Groups_Ozero__class_Ozero(v54) = v56 & ( ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v56) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v56) | c_Orderings_Oord__class_Oless__eq(v54, v55, v56)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Ogroup__add(v54) | ? [v56] : ? [v57] : (((v57 = v55 & c_Groups_Ozero__class_Ozero(v54) = v55) | ( ~ (v56 = v53) & c_Groups_Ouminus__class_Ouminus(v54, v52) = v56)) & ((v56 = v53 & c_Groups_Ouminus__class_Ouminus(v54, v52) = v53) | ( ~ (v57 = v55) & c_Groups_Ozero__class_Ozero(v54) = v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Ogroup__add(v54) | ? [v56] : ? [v57] : (((v57 = v52 & c_Groups_Ouminus__class_Ouminus(v54, v53) = v52) | ( ~ (v56 = v55) & c_Groups_Ozero__class_Ozero(v54) = v56)) & ((v56 = v55 & c_Groups_Ozero__class_Ozero(v54) = v55) | ( ~ (v57 = v52) & c_Groups_Ouminus__class_Ouminus(v54, v53) = v57)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Groups_Ogroup__add(v54) | ? [v56] : ((v56 = v52 & c_Groups_Ouminus__class_Ouminus(v54, v53) = v52) | ( ~ (v56 = v55) & c_Groups_Ozero__class_Ozero(v54) = v56))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v54) | ? [v56] : (( ~ (v55 = v53) | (v56 = v52 & c_Groups_Ozero__class_Ozero(v54) = v52)) & (v55 = v53 | ( ~ (v56 = v52) & c_Groups_Ozero__class_Ozero(v54) = v56)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v54, v52, v53) = v55) | ~ class_Rings_Ocomm__semiring__1(v54) | c_Groups_Oplus__class_Oplus(v54, v53, v52) = v55) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(v53, v52, v54) = v55) | ~ (c_Groups_Oone__class_Oone(v53) = v54) | ~ class_Rings_Olinordered__semidom(v53) | c_Orderings_Oord__class_Oless(v53, v52, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v53) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v55, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v53) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v55, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v54, v53) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v55, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v53) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v53) = v55) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v53) = v55) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v53) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Ocomm__semiring__1(v53) | hAPP(v55, v5) = v52) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Ocomm__semiring__1(v53) | ? [v56] : (c_Groups_Oone__class_Oone(v53) = v56 & hAPP(v55, v15) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v54, v52) = v55) | ~ class_Power_Opower(v53) | ? [v56] : (c_Groups_Oone__class_Oone(v53) = v56 & hAPP(v55, v15) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Oring__1__no__zero__divisors(v53) | ? [v56] : ? [v57] : ? [v58] : (c_Groups_Oone__class_Oone(v53) = v57 & (v57 = v52 | (v58 = v52 & c_Groups_Ouminus__class_Ouminus(v53, v57) = v52) | ( ~ (v57 = v56) & hAPP(v55, v3) = v56)) & ((v57 = v56 & hAPP(v55, v3) = v56) | ( ~ (v58 = v52) & ~ (v57 = v52) & c_Groups_Ouminus__class_Ouminus(v53, v57) = v58)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Oring__1__no__zero__divisors(v53) | ? [v56] : ? [v57] : (c_Groups_Ozero__class_Ozero(v53) = v57 & ( ~ (v57 = v52) | (v56 = v52 & hAPP(v55, v3) = v52)) & (v57 = v52 | ( ~ (v57 = v56) & hAPP(v55, v3) = v56)))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Olinordered__idom(v53) | ? [v56] : ? [v57] : (c_Groups_Ozero__class_Ozero(v53) = v57 & hAPP(v55, v3) = v56 & ~ c_Orderings_Oord__class_Oless(v53, v56, v57))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Olinordered__idom(v53) | ? [v56] : ? [v57] : (c_Groups_Ozero__class_Ozero(v53) = v56 & hAPP(v55, v3) = v57 & c_Orderings_Oord__class_Oless__eq(v53, v56, v57))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v54, v52) = v55) | ~ class_Rings_Olinordered__idom(v53) | ? [v56] : ? [v57] : (c_Groups_Ozero__class_Ozero(v53) = v56 & ( ~ (v56 = v52) | (hAPP(v55, v3) = v57 & ~ c_Orderings_Oord__class_Oless(v53, v52, v57))) & (v56 = v52 | (hAPP(v55, v3) = v57 & c_Orderings_Oord__class_Oless(v53, v56, v57))))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Power_Opower__class_Opower(v53) = v54) | ~ (hAPP(v54, v52) = v55) | ~ class_Groups_Omonoid__mult(v53) | hAPP(v55, v5) = v52) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Power_Opower__class_Opower(v52) = v53) | ~ (c_Groups_Oone__class_Oone(v52) = v54) | ~ (hAPP(v53, v54) = v55) | ~ class_Rings_Osemiring__1(v52) | hAPP(v55, v3) = v54) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v16, v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v53) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v16, v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v53) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v16, v52) = v54) | ? [v56] : (hAPP(v56, v52) = v55 & hAPP(v16, v53) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v12, v52) = v54) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v53) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v12, v52) = v54) | ? [v56] : (hAPP(v56, v52) = v55 & hAPP(v12, v53) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v53) = v55) | ~ (hAPP(v11, v52) = v54) | ? [v56] : (hAPP(v56, v52) = v55 & hAPP(v11, v53) = v56)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v36, v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v36, v53) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v53) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v16, v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v55) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v16, v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v55) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v16, v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v16, v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v53) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v16, v53) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v55) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v16, v53) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v55) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v16, v53) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v14, v53) = v54) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v55) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v14, v53) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v53) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v12, v53) = v54) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v55) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v53) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v12, v53) = v54) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v53) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v12, v53) = v54) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v52) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v12, v53) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v54, v52) = v55) | ~ (hAPP(v11, v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v53) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v52) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v53, v54) = v55) | ~ (hAPP(v53, v52) = v54) | ~ (hAPP(v16, v52) = v53) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v52, v55)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (hAPP(v7, v53) = v54) | ~ (hAPP(v7, v52) = v55) | ? [v56] : ? [v57] : ? [v58] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v56) = v57 & hAPP(v55, v3) = v58 & hAPP(v54, v3) = v56 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v57, v58))) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | ~ c_Orderings_Oord__class_Oless(v55, v53, v52) | ~ class_Orderings_Opreorder(v55) | c_Orderings_Oord__class_Oless(v55, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | ~ c_Orderings_Oord__class_Oless(v55, v52, v54) | ~ class_Orderings_Oorder(v55) | c_Orderings_Oord__class_Oless(v55, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | ~ class_Orderings_Oorder(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v52, v54) | c_Orderings_Oord__class_Oless(v55, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ c_Orderings_Oord__class_Oless(v55, v54, v53) | ~ class_Orderings_Opreorder(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v52) | c_Orderings_Oord__class_Oless(v55, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ c_Orderings_Oord__class_Oless(v55, v53, v52) | ~ class_Orderings_Opreorder(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | c_Orderings_Oord__class_Oless(v55, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ c_Orderings_Oord__class_Oless(v55, v52, v54) | ~ class_Orderings_Oorder(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | c_Orderings_Oord__class_Oless(v55, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ class_Orderings_Oorder(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | ~ c_Orderings_Oord__class_Oless__eq(v55, v52, v54) | c_Orderings_Oord__class_Oless__eq(v55, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ class_Orderings_Opreorder(v55) | ~ c_Orderings_Oord__class_Oless__eq(v55, v54, v53) | ~ c_Orderings_Oord__class_Oless__eq(v55, v53, v52) | c_Orderings_Oord__class_Oless__eq(v55, v54, v52)) & ? [v52] : ? [v53] : ! [v54] : ! [v55] : ! [v56] : ( ~ (tc_fun(v54, v55) = v56) | ~ class_Orderings_Oord(v55) | c_Orderings_Oord__class_Oless__eq(v56, v53, v52) | ? [v57] : ? [v58] : ? [v59] : (hAPP(v53, v57) = v58 & hAPP(v52, v57) = v59 & ~ c_Orderings_Oord__class_Oless__eq(v55, v58, v59))) & ? [v52] : ! [v53] : ! [v54] : ! [v55] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v54) = v55) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | ? [v56] : ( ~ (v56 = v52) & c_Nat_OSuc(v55) = v56)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v53 | ~ (c_Nat_OSuc(v52) = v54) | ~ (c_Nat_OSuc(v52) = v53)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v53 | ~ (c_Nat_OSuc(v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v54) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v53 | ~ (c_NthRoot_Osqrt(v52) = v54) | ~ (c_NthRoot_Osqrt(v52) = v53)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v53 | ~ (c_Groups_Ouminus__class_Ouminus(v52, v53) = v54) | ~ (c_Groups_Ozero__class_Ozero(v52) = v53) | ~ class_Groups_Ogroup__add(v52)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v53 | ~ (c_Int_OBit0(v52) = v54) | ~ (c_Int_OBit0(v52) = v53)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v53 | ~ (c_Int_OBit1(v52) = v54) | ~ (c_Int_OBit1(v52) = v53)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v52 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v52, v23) = v53) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v52 | ~ (c_Nat_OSuc(v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v52 | ~ (c_Groups_Ozero__class_Ozero(v53) = v54) | ~ c_Int_Oiszero(v53, v52) | ~ class_Rings_Osemiring__1(v53)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v15 | ~ (hAPP(v53, v15) = v54) | ~ (hAPP(v16, v52) = v53)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v10 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v52) = v53) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v52, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v10 | ~ (c_Groups_Ozero__class_Ozero(v52) = v53) | ~ (c_RealVector_Onorm__class_Onorm(v52, v53) = v54) | ~ class_RealVector_Oreal__normed__vector(v52)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v10 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v54) | ? [v55] : ( ~ (v55 = v52) & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v53) = v55)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v5 | ~ (hAPP(v53, v15) = v54) | ~ (hAPP(v36, v52) = v53)) & ! [v52] : ! [v53] : ! [v54] : (v54 = v0 | ~ (c_RealVector_Onorm__class_Onorm(v52, v53) = v54) | ~ (c_Groups_Oone__class_Oone(v52) = v53) | ~ class_RealVector_Oreal__normed__algebra__1(v52)) & ! [v52] : ! [v53] : ! [v54] : (v54 = c_Int_OPls | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v52) = v53) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Transcendental_Oarctan(v54) = v53) | ~ (c_Transcendental_Oarctan(v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Nat_OSuc(v54) = v53) | ~ (c_Nat_OSuc(v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Nat_OSuc(v53) = v54) | ~ (c_Nat_OSuc(v52) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Nat_OSuc(v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v52, v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Nat_OSuc(v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v54) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Complex_Ocomplex_Ocomplex__size(v54) = v53) | ~ (c_Complex_Ocomplex_Ocomplex__size(v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_NthRoot_Osqrt(v54) = v53) | ~ (c_NthRoot_Osqrt(v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_NthRoot_Osqrt(v53) = v54) | ~ (c_NthRoot_Osqrt(v52) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v52) = v54) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v54) = v10)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Groups_Ozero__class_Ozero(v54) = v53) | ~ (c_Groups_Ozero__class_Ozero(v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Groups_Otimes__class_Otimes(v54) = v53) | ~ (c_Groups_Otimes__class_Otimes(v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v54) = v53) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Int_OBit0(v54) = v53) | ~ (c_Int_OBit0(v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Int_OBit0(v53) = v54) | ~ (c_Int_OBit0(v52) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Int_OBit1(v54) = v53) | ~ (c_Int_OBit1(v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Int_OBit1(v53) = v54) | ~ (c_Int_OBit1(v52) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, v4) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v54) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Power_Opower__class_Opower(v54) = v53) | ~ (c_Power_Opower__class_Opower(v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ (c_Groups_Oone__class_Oone(v54) = v53) | ~ (c_Groups_Oone__class_Oone(v54) = v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ class_Orderings_Oorder(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v52) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ class_Orderings_Oorder(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v52) | c_Orderings_Oord__class_Oless(v54, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ class_Orderings_Oorder(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v53) | c_Orderings_Oord__class_Oless(v54, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v52 | ~ class_Orderings_Olinorder(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v52) | c_Orderings_Oord__class_Oless(v54, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v39 | v53 = v4 | ~ (hAPP(v54, v52) = v4) | ~ (hAPP(v12, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v39 | v52 = v4 | ~ (hAPP(v54, v52) = v4) | ~ (hAPP(v12, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v15 | v52 = v15 | ~ (hAPP(v54, v52) = v15) | ~ (hAPP(v16, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v15 | v52 = v5 | ~ (hAPP(v54, v52) = v53) | ~ (hAPP(v16, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v15 | ~ (c_Nat_OSuc(v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v54) | ? [v55] : (c_Nat_OSuc(v55) = v53 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v55, v52))) & ! [v52] : ! [v53] : ! [v54] : (v53 = v5 | v52 = v15 | ~ (hAPP(v54, v52) = v5) | ~ (hAPP(v36, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v5 | ~ (hAPP(v54, v52) = v5) | ~ (hAPP(v16, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v4 | v52 = v39 | ~ (hAPP(v54, v52) = v4) | ~ (hAPP(v12, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v53 = v4 | ~ (hAPP(v54, v52) = v4) | ~ (hAPP(v12, v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v53)) & ! [v52] : ! [v53] : ! [v54] : (v52 = v39 | v52 = v4 | ~ (hAPP(v54, v52) = v4) | ~ (hAPP(v12, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v52 = v10 | ~ (hAPP(v53, v52) = v54) | ~ (hAPP(v11, v52) = v53) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54)) & ! [v52] : ! [v53] : ! [v54] : (v52 = v5 | ~ (hAPP(v54, v52) = v5) | ~ (hAPP(v16, v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : (v52 = v4 | ~ (hAPP(v54, v52) = v4) | ~ (hAPP(v12, v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v53)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Rings_Oinverse__class_Odivide(v53, v52, v52) = v54) | ~ class_Rings_Odivision__ring__inverse__zero(v53) | ? [v55] : ? [v56] : (c_Groups_Ozero__class_Ozero(v53) = v55 & ( ~ (v55 = v52) | v54 = v52) & (v55 = v52 | (v56 = v54 & c_Groups_Oone__class_Oone(v53) = v54)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Rings_Oinverse__class_Odivide(v53, v52, v52) = v54) | ~ class_Rings_Odivision__ring(v53) | ? [v55] : ((v55 = v54 & c_Groups_Oone__class_Oone(v53) = v54) | (v55 = v52 & c_Groups_Ozero__class_Ozero(v53) = v52))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v10) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v52, v10) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v10) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v53) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v52, v10) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v52) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v54) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v10) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v54) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v52, v10) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v53)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v52) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (tc_fun(v52, v53) = v54) | ~ class_Orderings_Oorder(v53) | class_Orderings_Oorder(v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (tc_fun(v52, v53) = v54) | ~ class_Orderings_Oord(v53) | class_Orderings_Oord(v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (tc_fun(v52, v53) = v54) | ~ class_Orderings_Opreorder(v53) | class_Orderings_Opreorder(v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Nat_OSuc(v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Nat_OSuc(v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v52, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Nat_OSuc(v53) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Nat_OSuc(v53) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Nat_OSuc(v53) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Nat_OSuc(v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v54) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Nat_OSuc(v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Nat_OSuc(v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Nat_OSuc(v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Nat_OSuc(v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ class_Groups_Oordered__ab__group__add(v53) | ? [v55] : (c_Groups_Ozero__class_Ozero(v53) = v55 & ( ~ c_Orderings_Oord__class_Oless(v53, v55, v54) | c_Orderings_Oord__class_Oless(v53, v52, v55)) & ( ~ c_Orderings_Oord__class_Oless(v53, v52, v55) | c_Orderings_Oord__class_Oless(v53, v55, v54)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ class_Groups_Oordered__ab__group__add(v53) | ? [v55] : (c_Groups_Ozero__class_Ozero(v53) = v55 & ( ~ c_Orderings_Oord__class_Oless(v53, v55, v52) | c_Orderings_Oord__class_Oless(v53, v54, v55)) & ( ~ c_Orderings_Oord__class_Oless(v53, v54, v55) | c_Orderings_Oord__class_Oless(v53, v55, v52)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ class_Groups_Oordered__ab__group__add(v53) | ? [v55] : (c_Groups_Ozero__class_Ozero(v53) = v55 & ( ~ c_Orderings_Oord__class_Oless__eq(v53, v55, v54) | c_Orderings_Oord__class_Oless__eq(v53, v52, v55)) & ( ~ c_Orderings_Oord__class_Oless__eq(v53, v52, v55) | c_Orderings_Oord__class_Oless__eq(v53, v55, v54)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ class_Groups_Oordered__ab__group__add(v53) | ? [v55] : (c_Groups_Ozero__class_Ozero(v53) = v55 & ( ~ c_Orderings_Oord__class_Oless__eq(v53, v55, v52) | c_Orderings_Oord__class_Oless__eq(v53, v54, v55)) & ( ~ c_Orderings_Oord__class_Oless__eq(v53, v54, v55) | c_Orderings_Oord__class_Oless__eq(v53, v55, v52)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ class_Groups_Ogroup__add(v53) | ? [v55] : (c_Groups_Ozero__class_Ozero(v53) = v55 & ( ~ (v55 = v54) | v54 = v52) & ( ~ (v55 = v52) | v54 = v52))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ class_Groups_Olinordered__ab__group__add(v53) | ? [v55] : (( ~ (v54 = v52) | (v55 = v52 & c_Groups_Ozero__class_Ozero(v53) = v52)) & (v54 = v52 | ( ~ (v55 = v52) & c_Groups_Ozero__class_Ozero(v53) = v55)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ class_Groups_Olinordered__ab__group__add(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless(v53, v54, v52) | (c_Groups_Ozero__class_Ozero(v53) = v55 & c_Orderings_Oord__class_Oless(v53, v55, v52))) & (c_Orderings_Oord__class_Oless(v53, v54, v52) | (c_Groups_Ozero__class_Ozero(v53) = v55 & ~ c_Orderings_Oord__class_Oless(v53, v55, v52))))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ class_Groups_Olinordered__ab__group__add(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless__eq(v53, v54, v52) | (c_Groups_Ozero__class_Ozero(v53) = v55 & c_Orderings_Oord__class_Oless__eq(v53, v55, v52))) & (c_Orderings_Oord__class_Oless__eq(v53, v54, v52) | (c_Groups_Ozero__class_Ozero(v53) = v55 & ~ c_Orderings_Oord__class_Oless__eq(v53, v55, v52))))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ class_Groups_Olinordered__ab__group__add(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless__eq(v53, v52, v54) | (c_Groups_Ozero__class_Ozero(v53) = v55 & c_Orderings_Oord__class_Oless__eq(v53, v52, v55))) & (c_Orderings_Oord__class_Oless__eq(v53, v52, v54) | (c_Groups_Ozero__class_Ozero(v53) = v55 & ~ c_Orderings_Oord__class_Oless__eq(v53, v52, v55))))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Ouminus__class_Ouminus(v53, v52) = v54) | ~ class_Rings_Olinordered__idom(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless(v53, v52, v54) | (c_Groups_Ozero__class_Ozero(v53) = v55 & c_Orderings_Oord__class_Oless(v53, v52, v55))) & (c_Orderings_Oord__class_Oless(v53, v52, v54) | (c_Groups_Ozero__class_Ozero(v53) = v55 & ~ c_Orderings_Oord__class_Oless(v53, v52, v55))))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Ouminus__class_Ouminus(v52, v53) = v54) | ~ (c_Groups_Oone__class_Oone(v52) = v53) | ~ class_Int_Onumber__ring(v52) | c_Int_Onumber__class_Onumber__of(v52, c_Int_OMin) = v54) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_RealVector_Onorm__class_Onorm(v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v54, v10) | ~ class_RealVector_Oreal__normed__vector(v53)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_RealVector_Onorm__class_Onorm(v53, v52) = v54) | ~ class_RealVector_Oreal__normed__vector(v53) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_RealVector_Onorm__class_Onorm(v53, v52) = v54) | ~ class_RealVector_Oreal__normed__vector(v53) | ? [v55] : (( ~ (v54 = v10) | (v55 = v52 & c_Groups_Ozero__class_Ozero(v53) = v52)) & (v54 = v10 | ( ~ (v55 = v52) & c_Groups_Ozero__class_Ozero(v53) = v55)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_RealVector_Onorm__class_Onorm(v53, v52) = v54) | ~ class_RealVector_Oreal__normed__vector(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54) | ( ~ (v55 = v52) & c_Groups_Ozero__class_Ozero(v53) = v55)) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54) | (v55 = v52 & c_Groups_Ozero__class_Ozero(v53) = v52)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_RealVector_Onorm__class_Onorm(v53, v52) = v54) | ~ class_RealVector_Oreal__normed__vector(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v10) | (v55 = v52 & c_Groups_Ozero__class_Ozero(v53) = v52)) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v10) | ( ~ (v55 = v52) & c_Groups_Ozero__class_Ozero(v53) = v55)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Complex_Ocomplex_OComplex(v53, v52) = v54) | c_Nat_Osize__class_Osize(tc_Complex_Ocomplex, v54) = v15) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Complex_Ocomplex_OComplex(v53, v52) = v54) | c_Complex_Ocomplex_Ocomplex__size(v54) = v15) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Int_OBit0(v53) = v54) | ~ (c_Int_OBit1(v52) = v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Int_OBit0(v52) = v54) | ~ (c_Int_OBit1(v53) = v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v54) | ~ class_Rings_Olinordered__idom(v53) | ~ class_Int_Onumber__ring(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, v1) | (c_Groups_Oone__class_Oone(v53) = v55 & c_Orderings_Oord__class_Oless(v53, v54, v55))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, v1) | (c_Groups_Oone__class_Oone(v53) = v55 & ~ c_Orderings_Oord__class_Oless(v53, v54, v55))))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v54) | ~ class_Rings_Olinordered__idom(v53) | ~ class_Int_Onumber__ring(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v53) = v55 & c_Orderings_Oord__class_Oless(v53, v54, v55))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v53) = v55 & ~ c_Orderings_Oord__class_Oless(v53, v54, v55))))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v54) | ~ class_Rings_Olinordered__idom(v53) | ~ class_Int_Onumber__ring(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v52) | (c_Groups_Oone__class_Oone(v53) = v55 & c_Orderings_Oord__class_Oless(v53, v55, v54))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v52) | (c_Groups_Oone__class_Oone(v53) = v55 & ~ c_Orderings_Oord__class_Oless(v53, v55, v54))))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v54) | ~ class_Rings_Olinordered__idom(v53) | ~ class_Int_Onumber__ring(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v52) | (c_Groups_Ozero__class_Ozero(v53) = v55 & c_Orderings_Oord__class_Oless(v53, v55, v54))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v52) | (c_Groups_Ozero__class_Ozero(v53) = v55 & ~ c_Orderings_Oord__class_Oless(v53, v55, v54))))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v54) | ~ class_Rings_Olinordered__idom(v53) | ~ class_Int_Onumber__ring(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, v1) | (c_Groups_Oone__class_Oone(v53) = v55 & c_Orderings_Oord__class_Oless__eq(v53, v54, v55))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, v1) | (c_Groups_Oone__class_Oone(v53) = v55 & ~ c_Orderings_Oord__class_Oless__eq(v53, v54, v55))))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v54) | ~ class_Rings_Olinordered__idom(v53) | ~ class_Int_Onumber__ring(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v53) = v55 & c_Orderings_Oord__class_Oless__eq(v53, v54, v55))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v53) = v55 & ~ c_Orderings_Oord__class_Oless__eq(v53, v54, v55))))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v54) | ~ class_Rings_Olinordered__idom(v53) | ~ class_Int_Onumber__ring(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v52) | (c_Groups_Oone__class_Oone(v53) = v55 & c_Orderings_Oord__class_Oless__eq(v53, v55, v54))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v52) | (c_Groups_Oone__class_Oone(v53) = v55 & ~ c_Orderings_Oord__class_Oless__eq(v53, v55, v54))))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Int_Onumber__class_Onumber__of(v53, v52) = v54) | ~ class_Rings_Olinordered__idom(v53) | ~ class_Int_Onumber__ring(v53) | ? [v55] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52) | (c_Groups_Ozero__class_Ozero(v53) = v55 & c_Orderings_Oord__class_Oless__eq(v53, v55, v54))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52) | (c_Groups_Ozero__class_Ozero(v53) = v55 & ~ c_Orderings_Oord__class_Oless__eq(v53, v55, v54))))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(v53, v52, v52) = v54) | ~ class_Groups_Olinordered__ab__group__add(v53) | ? [v55] : (c_Groups_Ozero__class_Ozero(v53) = v55 & ( ~ (v55 = v54) | v54 = v52) & ( ~ (v55 = v52) | v54 = v52))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(v53, v52, v52) = v54) | ~ class_Groups_Olinordered__ab__group__add(v53) | ? [v55] : (c_Groups_Ozero__class_Ozero(v53) = v55 & ( ~ c_Orderings_Oord__class_Oless(v53, v55, v54) | c_Orderings_Oord__class_Oless(v53, v55, v52)) & ( ~ c_Orderings_Oord__class_Oless(v53, v55, v52) | c_Orderings_Oord__class_Oless(v53, v55, v54)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(v53, v52, v52) = v54) | ~ class_Groups_Olinordered__ab__group__add(v53) | ? [v55] : (c_Groups_Ozero__class_Ozero(v53) = v55 & ( ~ c_Orderings_Oord__class_Oless(v53, v54, v55) | c_Orderings_Oord__class_Oless(v53, v52, v55)) & ( ~ c_Orderings_Oord__class_Oless(v53, v52, v55) | c_Orderings_Oord__class_Oless(v53, v54, v55)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(v53, v52, v52) = v54) | ~ class_Groups_Olinordered__ab__group__add(v53) | ? [v55] : (c_Groups_Ozero__class_Ozero(v53) = v55 & ( ~ c_Orderings_Oord__class_Oless__eq(v53, v55, v54) | c_Orderings_Oord__class_Oless__eq(v53, v55, v52)) & ( ~ c_Orderings_Oord__class_Oless__eq(v53, v55, v52) | c_Orderings_Oord__class_Oless__eq(v53, v55, v54)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(v53, v52, v52) = v54) | ~ class_Groups_Olinordered__ab__group__add(v53) | ? [v55] : (c_Groups_Ozero__class_Ozero(v53) = v55 & ( ~ c_Orderings_Oord__class_Oless__eq(v53, v54, v55) | c_Orderings_Oord__class_Oless__eq(v53, v52, v55)) & ( ~ c_Orderings_Oord__class_Oless__eq(v53, v52, v55) | c_Orderings_Oord__class_Oless__eq(v53, v54, v55)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(v53, v52, v52) = v54) | ~ class_Rings_Olinordered__idom(v53) | ? [v55] : (c_Groups_Ozero__class_Ozero(v53) = v55 & ( ~ c_Orderings_Oord__class_Oless(v53, v54, v55) | c_Orderings_Oord__class_Oless(v53, v52, v55)) & ( ~ c_Orderings_Oord__class_Oless(v53, v52, v55) | c_Orderings_Oord__class_Oless(v53, v54, v55)))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(v52, v53, v53) = v54) | ~ (c_Groups_Oone__class_Oone(v52) = v53) | ~ class_Rings_Olinordered__semidom(v52) | ? [v55] : (c_Groups_Ozero__class_Ozero(v52) = v55 & c_Orderings_Oord__class_Oless(v52, v55, v54))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v54) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OPls)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v54) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v54, c_Int_OPls)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v54) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v52) = v53) | c_Int_OBit1(v52) = v54) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v54) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v54) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v53) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v54) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v54) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v52) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v53)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v54) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v53) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v52) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v54) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v54) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v53) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v4) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v4) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, v53) = v54) | c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = v54) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, v4) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v54) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, v4) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, v4) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v54) = v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v53)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v54) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v54) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v54) | ? [v55] : (c_Nat_OSuc(v54) = v55 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v55))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v53) = v54) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v54) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v53) = v54) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v53) = v54) | ? [v55] : (c_Nat_OSuc(v54) = v55 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v55))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v54, v10) | ? [v55] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v53) = v55 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v52, v55))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v52) | ? [v55] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v54, v23) = v55 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v55, v52))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v52) | ? [v55] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v54, v23) = v55 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v55))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54) | ? [v55] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v53) = v55 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v55, v52))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v10) | ? [v55] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v53) = v55 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v52, v55))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v54) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v54) | ? [v55] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v53) = v55 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v55, v52))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v54) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v54, v10) | ? [v55] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v53) = v55 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v52, v55))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v54) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v54) | ? [v55] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v53) = v55 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v55, v52))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v54) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v10) | ? [v55] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v53) = v55 & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v52, v55))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v54) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v54) | ? [v55] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v53) = v55 & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v55, v52))) & ! [v52] : ! [v53] : ! [v54] : ( ~ (hAPP(v53, v52) = v54) | ~ (hAPP(v16, v52) = v53) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v52, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (hAPP(v53, v15) = v54) | ~ (hAPP(v36, v52) = v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (hAPP(v53, v15) = v54) | ~ (hAPP(v14, v52) = v53) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ (hAPP(v35, v53) = v54) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v52) | ? [v55] : ( ~ (v55 = v52) & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v4) = v55)) & ! [v52] : ! [v53] : ! [v54] : ( ~ c_Orderings_Oord__class_Oless(v54, v53, v52) | ~ c_Orderings_Oord__class_Oless(v54, v52, v53) | ~ class_Orderings_Oorder(v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ c_Orderings_Oord__class_Oless(v54, v53, v52) | ~ c_Orderings_Oord__class_Oless(v54, v52, v53) | ~ class_Orderings_Olinorder(v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ c_Orderings_Oord__class_Oless(v54, v53, v52) | ~ c_Orderings_Oord__class_Oless(v54, v52, v53) | ~ class_Orderings_Opreorder(v54)) & ! [v52] : ! [v53] : ! [v54] : ( ~ c_Orderings_Oord__class_Oless(v54, v53, v52) | ~ class_Orderings_Oorder(v54) | c_Orderings_Oord__class_Oless__eq(v54, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ c_Orderings_Oord__class_Oless(v54, v53, v52) | ~ class_Orderings_Olinorder(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : ( ~ c_Orderings_Oord__class_Oless(v54, v53, v52) | ~ class_Orderings_Opreorder(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : ( ~ c_Orderings_Oord__class_Oless(v54, v53, v52) | ~ class_Orderings_Opreorder(v54) | c_Orderings_Oord__class_Oless__eq(v54, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ c_Orderings_Oord__class_Oless(v54, v52, v53) | ~ class_Orderings_Olinorder(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ class_Orderings_Opreorder(v54) | ~ c_Orderings_Oord__class_Oless__eq(v54, v53, v52) | c_Orderings_Oord__class_Oless(v54, v53, v52) | c_Orderings_Oord__class_Oless__eq(v54, v52, v53)) & ! [v52] : ! [v53] : ! [v54] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v52)) & ! [v52] : ! [v53] : ! [v54] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v52)) & ? [v52] : ! [v53] : ! [v54] : ( ~ (c_Nat_OSuc(v53) = v54) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v52, v54)) & ? [v52] : ! [v53] : ! [v54] : ( ~ (c_Nat_OSuc(v53) = v54) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v54, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v52, v53)) & ! [v52] : ! [v53] : (v53 = v52 | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v52) = v53)) & ! [v52] : ! [v53] : (v53 = v52 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, c_Int_OPls) = v53)) & ! [v52] : ! [v53] : (v53 = v52 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, v52) = v53)) & ! [v52] : ! [v53] : (v53 = v52 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v15) = v53)) & ! [v52] : ! [v53] : (v53 = v52 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v15, v52) = v53)) & ! [v52] : ! [v53] : (v53 = v52 | ~ (hAPP(v30, v52) = v53)) & ! [v52] : ! [v53] : (v53 = v52 | ~ (hAPP(v28, v52) = v53)) & ! [v52] : ! [v53] : (v53 = v52 | ~ (hAPP(v13, v52) = v53)) & ! [v52] : ! [v53] : (v53 = v52 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, v53)) & ! [v52] : ! [v53] : (v53 = v52 | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : (v53 = v52 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v52, v53)) & ! [v52] : ! [v53] : (v53 = v52 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : (v53 = v52 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v52) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v52, v53)) & ! [v52] : ! [v53] : (v53 = v52 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v52) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v52)) & ! [v52] : ! [v53] : (v53 = v15 | v53 = v5 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v5)) & ! [v52] : ! [v53] : (v53 = v15 | v52 = v15 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v5)) & ! [v52] : ! [v53] : (v53 = v15 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OPls)) & ! [v52] : ! [v53] : (v53 = v15 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v15)) & ! [v52] : ! [v53] : (v53 = v15 | ~ (hAPP(v29, v52) = v53)) & ! [v52] : ! [v53] : (v53 = v10 | ~ (c_Complex_Ocomplex_OComplex(v53, v52) = v9)) & ! [v52] : ! [v53] : (v53 = v10 | ~ (c_Complex_Ocomplex_OComplex(v53, v52) = c_Complex_Oii)) & ! [v52] : ! [v53] : (v53 = v5 | v52 = v5 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v5)) & ! [v52] : ! [v53] : (v53 = v5 | ~ (hAPP(v37, v52) = v53)) & ! [v52] : ! [v53] : (v53 = v4 | ~ (hAPP(v52, v39) = v53) | ~ (hAPP(v12, v39) = v52)) & ! [v52] : ! [v53] : (v53 = v0 | ~ (c_Complex_Ocomplex_OComplex(v53, v52) = v19)) & ! [v52] : ! [v53] : (v53 = c_Int_OPls | ~ (hAPP(v18, v52) = v53)) & ! [v52] : ! [v53] : (v52 = v15 | v52 = v5 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v5)) & ! [v52] : ! [v53] : (v52 = v15 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v53)) & ! [v52] : ! [v53] : (v52 = v15 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v52) = v15)) & ! [v52] : ! [v53] : (v52 = v10 | ~ (c_Complex_Ocomplex_OComplex(v53, v52) = v19)) & ! [v52] : ! [v53] : (v52 = v10 | ~ (c_Complex_Ocomplex_OComplex(v53, v52) = v9)) & ! [v52] : ! [v53] : (v52 = v0 | ~ (c_Complex_Ocomplex_OComplex(v53, v52) = c_Complex_Oii)) & ! [v52] : ! [v53] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v52, v33) = v53) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v52) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v52)) & ! [v52] : ! [v53] : ( ~ (c_Nat_OSuc(v53) = v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v52)) & ! [v52] : ! [v53] : ( ~ (c_Nat_OSuc(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ( ~ (c_Nat_OSuc(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v52, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v52, v53)) & ! [v52] : ! [v53] : ( ~ (c_Nat_OSuc(v52) = v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v52, v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v52, v52)) & ! [v52] : ! [v53] : ( ~ (c_Nat_OSuc(v52) = v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v52, v53)) & ! [v52] : ! [v53] : ( ~ (c_Nat_OSuc(v52) = v53) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53)) & ! [v52] : ! [v53] : ( ~ (c_Nat_OSuc(v52) = v53) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v53)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v10) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v52, v10)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v52, v0)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v52, v10) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v10)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v52, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v0)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v53) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v52)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v52) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v53)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v52) | ? [v54] : ? [v55] : (hAPP(v54, v3) = v55 & hAPP(v7, v53) = v54 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v55))) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v53) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v52)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v52) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v53)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v10) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v52, v10)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v52, v0)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v52, v10) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v10)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v52, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v0)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v53) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v52)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v52) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v53)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v52) | ? [v54] : (hAPP(v54, v3) = v52 & hAPP(v7, v53) = v54)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v53) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v52)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v52) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v53)) & ! [v52] : ! [v53] : ( ~ (c_NthRoot_Osqrt(v52) = v53) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v52) | ? [v54] : ? [v55] : ( ~ (v55 = v52) & hAPP(v54, v3) = v55 & hAPP(v7, v53) = v54)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v52) = v53) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v53) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v52)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v52) = v53) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v52) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v53)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v52) = v53) | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v53) = v52) & ! [v52] : ! [v53] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v52) = v53) | ? [v54] : ? [v55] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v54) = v55 & c_Int_OBit0(v53) = v55 & c_Int_OBit0(v52) = v54)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v52) = v53) | ? [v54] : ? [v55] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v54) = v55 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v53) = v55 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v52) = v54)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v52) = v53) | ? [v54] : ? [v55] : (c_Transcendental_Oarctan(v53) = v54 & c_Transcendental_Oarctan(v52) = v55 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v55) = v54)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v52) = v53) | ? [v54] : ? [v55] : (c_NthRoot_Osqrt(v53) = v54 & c_NthRoot_Osqrt(v52) = v55 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v55) = v54)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Ozero__class_Ozero(v53) = v52) | ~ class_Rings_Osemiring__1(v53) | c_Int_Oiszero(v53, v52)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Ozero__class_Ozero(v52) = v53) | ~ class_Rings_Osemiring__1(v52) | c_Int_Oiszero(v52, v53)) & ! [v52] : ! [v53] : ( ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v52) = v53) | ? [v54] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v53) = v54 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v54, v53))) & ! [v52] : ! [v53] : ( ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v52) = v53) | ? [v54] : (hAPP(v54, v3) = v52 & hAPP(v6, v53) = v54)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OMin)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OPls)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OPls)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v53) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v52)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v53)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v53)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v53) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v52)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v53)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OMin)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OPls)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OMin)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, c_Int_OMin)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, c_Int_OPls)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v53) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v52)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v53) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit0(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v53)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OMin)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OPls)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OMin)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, c_Int_OPls)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, c_Int_OPls)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v53) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v52)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v53)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v53) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OMin)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, c_Int_OPls)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, c_Int_OMin)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v53) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v52)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v53)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v53) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v53)) & ! [v52] : ! [v53] : ( ~ (c_Int_OBit1(v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v53)) & ! [v52] : ! [v53] : ( ~ (c_Int_Onumber__class_Onumber__of(v52, v2) = v53) | ~ class_Int_Onumber__ring(v52) | ? [v54] : (c_Groups_Oplus__class_Oplus(v52, v54, v54) = v53 & c_Groups_Oone__class_Oone(v52) = v54)) & ! [v52] : ! [v53] : ( ~ (c_Int_Onumber__class_Onumber__of(v52, v1) = v53) | ~ c_Int_Oiszero(v52, v53) | ~ class_Int_Onumber__ring(v52)) & ! [v52] : ! [v53] : ( ~ (c_Int_Onumber__class_Onumber__of(v52, v1) = v53) | ~ class_Int_Onumber__ring(v52) | c_Groups_Oone__class_Oone(v52) = v53) & ! [v52] : ! [v53] : ( ~ (c_Int_Onumber__class_Onumber__of(v52, c_Int_OMin) = v53) | ~ c_Int_Oiszero(v52, v53) | ~ class_Int_Onumber__ring(v52)) & ! [v52] : ! [v53] : ( ~ (c_Int_Onumber__class_Onumber__of(v52, c_Int_OPls) = v53) | ~ class_Int_Onumber__ring(v52) | c_Groups_Ozero__class_Ozero(v52) = v53) & ! [v52] : ! [v53] : ( ~ (c_Int_Onumber__class_Onumber__of(v52, c_Int_OPls) = v53) | ~ class_Int_Onumber__ring(v52) | c_Int_Oiszero(v52, v53)) & ! [v52] : ! [v53] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v53) | ? [v54] : ? [v55] : ? [v56] : ? [v57] : (c_Int_OBit0(v52) = v54 & c_Int_OBit1(v52) = v56 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v56) = v57 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v54) = v55 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v57) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v55))) & ! [v52] : ! [v53] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53)) & ! [v52] : ! [v53] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v53) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v53) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v52)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v53, v52) = c_Int_OPls) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v52) = v53)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, v52) = v53) | c_Int_OBit0(v52) = v53) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v52, v4) = v53) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, v53)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v52) = v53) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v53)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v5) = v53) | c_Nat_OSuc(v52) = v53) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v3) = v53) | ? [v54] : (c_Nat_OSuc(v54) = v53 & c_Nat_OSuc(v52) = v54)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v22, v52) = v53) | ? [v54] : ? [v55] : (c_Nat_OSuc(v55) = v53 & c_Nat_OSuc(v54) = v55 & c_Nat_OSuc(v52) = v54)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v52) = v53) | c_Nat_OSuc(v52) = v53) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v3, v52) = v53) | ? [v54] : (c_Nat_OSuc(v54) = v53 & c_Nat_OSuc(v52) = v54)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v53, v52) = v10) | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v53) = v52) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oone__class_Oone(v52) = v53) | ~ class_Rings_Olinordered__semidom(v52) | ? [v54] : (c_Groups_Ozero__class_Ozero(v52) = v54 & c_Orderings_Oord__class_Oless(v52, v54, v53))) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oone__class_Oone(v52) = v53) | ~ class_Rings_Olinordered__semidom(v52) | ? [v54] : (c_Groups_Ozero__class_Ozero(v52) = v54 & c_Orderings_Oord__class_Oless__eq(v52, v54, v53))) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oone__class_Oone(v52) = v53) | ~ class_Rings_Olinordered__semidom(v52) | ? [v54] : (c_Groups_Ozero__class_Ozero(v52) = v54 & ~ c_Orderings_Oord__class_Oless(v52, v53, v54))) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oone__class_Oone(v52) = v53) | ~ class_Rings_Olinordered__semidom(v52) | ? [v54] : (c_Groups_Ozero__class_Ozero(v52) = v54 & ~ c_Orderings_Oord__class_Oless__eq(v52, v53, v54))) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oone__class_Oone(v52) = v53) | ~ c_Int_Oiszero(v52, v53) | ~ class_Rings_Osemiring__1(v52)) & ! [v52] : ! [v53] : ( ~ (c_Groups_Oone__class_Oone(v52) = v53) | ~ class_Rings_Ozero__neq__one(v52) | ? [v54] : ( ~ (v54 = v53) & c_Groups_Ozero__class_Ozero(v52) = v54)) & ! [v52] : ! [v53] : ( ~ (hAPP(v52, v10) = v53) | ~ (hAPP(v11, v10) = v52) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v53)) & ! [v52] : ! [v53] : ( ~ (hAPP(v44, v52) = v53) | ? [v54] : (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v52) = v54 & hAPP(v44, v53) = v54)) & ! [v52] : ! [v53] : ( ~ (hAPP(v40, v52) = v53) | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v52) = v53) & ! [v52] : ! [v53] : ( ~ (hAPP(v35, v53) = v52) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v52)) & ! [v52] : ! [v53] : ( ~ (hAPP(v32, v52) = v53) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v53)) & ! [v52] : ! [v53] : ( ~ (hAPP(v24, v52) = v53) | ? [v54] : ? [v55] : ? [v56] : ? [v57] : (hAPP(v57, v3) = v56 & hAPP(v54, v3) = v55 & hAPP(v27, v55) = v56 & hAPP(v7, v53) = v57 & hAPP(v7, v52) = v54)) & ! [v52] : ! [v53] : ( ~ (hAPP(v20, v52) = v53) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v52) = v53) & ! [v52] : ! [v53] : ( ~ (hAPP(v16, v52) = v53) | hAPP(v53, v15) = v15) & ! [v52] : ! [v53] : ( ~ (hAPP(v16, v52) = v53) | hAPP(v53, v5) = v52) & ! [v52] : ! [v53] : ( ~ (hAPP(v16, v52) = v53) | ? [v54] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v52, v52) = v54 & hAPP(v53, v3) = v54)) & ! [v52] : ! [v53] : ( ~ (hAPP(v12, v52) = v53) | hAPP(v53, v4) = v52) & ! [v52] : ! [v53] : ( ~ c_Orderings_Oord__class_Oless(v53, v52, v52) | ~ class_Orderings_Oorder(v53)) & ! [v52] : ! [v53] : ( ~ c_Orderings_Oord__class_Oless(v53, v52, v52) | ~ class_Orderings_Olinorder(v53) | ~ c_Orderings_Oord__class_Oless__eq(v53, v52, v52)) & ! [v52] : ! [v53] : ( ~ c_Orderings_Oord__class_Oless(v53, v52, v52) | ~ class_Orderings_Olinorder(v53)) & ! [v52] : ! [v53] : ( ~ c_Orderings_Oord__class_Oless(v53, v52, v52) | ~ class_Orderings_Opreorder(v53)) & ! [v52] : ! [v53] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52)) & ! [v52] : ! [v53] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52)) & ! [v52] : ! [v53] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | ? [v54] : ? [v55] : (c_Nat_OSuc(v55) = v52 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v54) = v55)) & ! [v52] : ! [v53] : ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v52)) & ! [v52] : ! [v53] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | ? [v54] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v53, v54) = v52) & ? [v52] : ? [v53] : ! [v54] : (v53 = v52 | ~ class_Orderings_Olinorder(v54) | c_Orderings_Oord__class_Oless(v54, v53, v52) | c_Orderings_Oord__class_Oless(v54, v52, v53)) & ? [v52] : ? [v53] : ! [v54] : (v53 = v52 | ~ class_Rings_Olinordered__idom(v54) | c_Orderings_Oord__class_Oless(v54, v53, v52) | c_Orderings_Oord__class_Oless(v54, v52, v53)) & ? [v52] : ? [v53] : ! [v54] : ( ~ class_Orderings_Olinorder(v54) | c_Orderings_Oord__class_Oless(v54, v53, v52) | c_Orderings_Oord__class_Oless__eq(v54, v52, v53)) & ? [v52] : ? [v53] : ! [v54] : ( ~ class_Orderings_Olinorder(v54) | c_Orderings_Oord__class_Oless(v54, v52, v53) | c_Orderings_Oord__class_Oless__eq(v54, v53, v52)) & ? [v52] : ? [v53] : ! [v54] : ( ~ class_Orderings_Olinorder(v54) | c_Orderings_Oord__class_Oless__eq(v54, v53, v52) | c_Orderings_Oord__class_Oless__eq(v54, v52, v53)) & ? [v52] : ! [v53] : ( ~ class_Orderings_Oorder(v53) | c_Orderings_Oord__class_Oless__eq(v53, v52, v52)) & ? [v52] : ! [v53] : ( ~ class_Orderings_Olinorder(v53) | c_Orderings_Oord__class_Oless(v53, v52, v52) | c_Orderings_Oord__class_Oless__eq(v53, v52, v52)) & ? [v52] : ! [v53] : ( ~ class_Orderings_Opreorder(v53) | c_Orderings_Oord__class_Oless__eq(v53, v52, v52)) & ! [v52] : (v52 = v15 | v52 = v5 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v52, v3)) & ! [v52] : (v52 = v15 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v15, v15) = v52)) & ! [v52] : (v52 = v15 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v52, v5)) & ! [v52] : (v52 = v15 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v52, v15)) & ! [v52] : (v52 = v10 | ~ (c_NthRoot_Osqrt(v52) = v10) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v52)) & ! [v52] : (v52 = v10 | ~ (c_NthRoot_Osqrt(v52) = v10)) & ! [v52] : (v52 = v5 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v15, v5) = v52)) & ! [v52] : (v52 = v5 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v5, v15) = v52)) & ! [v52] : (v52 = v5 | ~ (hAPP(v30, v5) = v52)) & ! [v52] : (v52 = v4 | v52 = c_Int_OPls | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, v34) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v52)) & ! [v52] : (v52 = v4 | ~ (hAPP(v13, v4) = v52)) & ! [v52] : (v52 = v0 | ~ (c_NthRoot_Osqrt(v52) = v0)) & ! [v52] : (v52 = c_Int_OMin | ~ (c_Int_OBit1(v52) = c_Int_OMin)) & ! [v52] : (v52 = c_Int_OPls | ~ (c_Int_OBit0(v52) = c_Int_OPls)) & ! [v52] : ~ (c_Nat_OSuc(v52) = v52) & ! [v52] : ~ (c_Nat_OSuc(v52) = v15) & ! [v52] : ( ~ (c_NthRoot_Osqrt(v52) = v10) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v10, v52)) & ! [v52] : ~ (c_Int_OBit0(v52) = c_Int_OMin) & ! [v52] : ~ (c_Int_OBit1(v52) = c_Int_OPls) & ! [v52] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v52) = v15) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, c_Int_OPls)) & ! [v52] : ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v52) = c_Complex_Oii) & ! [v52] : ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, v52) & ! [v52] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v52)) & ! [v52] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v52, v52) & ! [v52] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v52, v15) & ! [v52] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v52) | ? [v53] : c_Nat_OSuc(v53) = v52) & ! [v52] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v52, v52) & ! [v52] : ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v52) | ? [v53] : hAPP(v35, v53) = v52) & ! [v52] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v52)) & ? [v52] : ? [v53] : (v53 = v52 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v52, v53)) & ? [v52] : ? [v53] : (v53 = v52 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v52, v53)) & ? [v52] : ? [v53] : (v53 = v52 | ? [v54] : ? [v55] : ? [v56] : ( ~ (v56 = v55) & hAPP(v53, v54) = v55 & hAPP(v52, v54) = v56)) & ? [v52] : ? [v53] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, v53)) & ? [v52] : ? [v53] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v52, v53)) & ? [v52] : ? [v53] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v53, v52) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v52, v53)) & ? [v52] : (v52 = v15 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v15, v52)) & ? [v52] : (c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v52) | ? [v53] : ? [v54] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v54, v4) = v52 & hAPP(v35, v53) = v54)) & ? [v52] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v52, v52) & ? [v52] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v52, v52) & ? [v52] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v15, v52) & ? [v52] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v52, v52))
% 175.48/93.63 | 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, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51 yields:
% 175.48/93.63 | (1) ~ (all_0_2_2 = all_0_51_51) & ~ (all_0_12_12 = c_Int_OPls) & ~ (all_0_32_32 = c_Complex_Oii) & ~ (all_0_41_41 = all_0_51_51) & ~ (all_0_42_42 = c_Complex_Oii) & ~ (all_0_47_47 = c_Int_OPls) & ~ (c_Int_OMin = c_Int_OPls) & c_Transcendental_Oarctan(all_0_41_41) = all_0_41_41 & c_Nat_OSuc(all_0_36_36) = all_0_46_46 & c_Nat_OSuc(all_0_46_46) = all_0_48_48 & c_Nat_OSuc(all_0_48_48) = all_0_29_29 & c_NthRoot_Osqrt(all_0_28_28) = all_0_18_18 & c_NthRoot_Osqrt(all_0_41_41) = all_0_41_41 & c_NthRoot_Osqrt(all_0_51_51) = all_0_51_51 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_0_47_47) = c_Int_OMin & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_0_50_50) = all_0_20_20 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OMin) = all_0_50_50 & c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OPls) = c_Int_OPls & c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, all_0_32_32) = all_0_9_9 & c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = all_0_34_34 & c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls & c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_0_36_36 & c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_0_41_41 & c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_0_42_42 & c_Groups_Otimes__class_Otimes(tc_Int_Oint) = all_0_39_39 & c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_0_35_35 & c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_0_40_40 & c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_0_8_8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) = all_0_51_51 & c_Complex_Ocomplex_OComplex(all_0_1_1, all_0_0_0) = v_z & c_Complex_Ocomplex_OComplex(all_0_41_41, all_0_41_41) = all_0_42_42 & c_Complex_Ocomplex_OComplex(all_0_41_41, all_0_51_51) = c_Complex_Oii & c_Complex_Ocomplex_OComplex(all_0_51_51, all_0_41_41) = all_0_32_32 & c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v_z & c_Int_OBit0(all_0_49_49) = all_0_26_26 & c_Int_OBit0(all_0_50_50) = all_0_49_49 & c_Int_OBit0(c_Int_OPls) = c_Int_OPls & c_Int_OBit1(all_0_50_50) = all_0_30_30 & c_Int_OBit1(c_Int_OMin) = c_Int_OMin & c_Int_OBit1(c_Int_OPls) = all_0_50_50 & c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, all_0_50_50) = all_0_43_43 & c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, c_Int_OPls) = all_0_34_34 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_0_30_30) = all_0_13_13 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_0_49_49) = all_0_17_17 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_0_50_50) = all_0_47_47 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) = all_0_12_12 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = c_Int_OPls & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_0_30_30) = all_0_29_29 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_0_49_49) = all_0_48_48 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_0_50_50) = all_0_46_46 & c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = all_0_36_36 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_0_26_26) = all_0_25_25 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_0_49_49) = all_0_28_28 & c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, c_Int_OMin) = all_0_9_9 & c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_46_46, all_0_46_46) = all_0_48_48 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_0_5_5, all_0_3_3) = all_0_2_2 & c_Power_Opower__class_Opower(tc_Int_Oint) = all_0_37_37 & c_Power_Opower__class_Opower(tc_Nat_Onat) = all_0_15_15 & c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_0_44_44 & c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_0_45_45 & c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = all_0_43_43 & c_Groups_Oone__class_Oone(tc_Int_Oint) = all_0_47_47 & c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_0_46_46 & c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_0_51_51 & c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_0_32_32 & hAPP(all_0_4_4, all_0_48_48) = all_0_3_3 & hAPP(all_0_6_6, all_0_48_48) = all_0_5_5 & hAPP(all_0_7_7, c_Complex_Oii) = all_0_9_9 & hAPP(all_0_8_8, c_Complex_Oii) = all_0_7_7 & hAPP(all_0_10_10, all_0_48_48) = all_0_9_9 & hAPP(all_0_15_15, all_0_46_46) = all_0_14_14 & hAPP(all_0_35_35, all_0_36_36) = all_0_22_22 & hAPP(all_0_35_35, all_0_46_46) = all_0_21_21 & hAPP(all_0_35_35, all_0_48_48) = all_0_31_31 & hAPP(all_0_39_39, all_0_17_17) = all_0_16_16 & hAPP(all_0_39_39, all_0_47_47) = all_0_38_38 & hAPP(all_0_39_39, c_Int_OMin) = all_0_11_11 & hAPP(all_0_39_39, c_Int_OPls) = all_0_33_33 & hAPP(all_0_40_40, all_0_25_25) = all_0_24_24 & hAPP(all_0_40_40, all_0_28_28) = all_0_27_27 & hAPP(all_0_40_40, all_0_51_51) = all_0_23_23 & hAPP(all_0_44_44, all_0_28_28) = all_0_19_19 & hAPP(all_0_44_44, v_y____) = all_0_4_4 & hAPP(all_0_44_44, v_x____) = all_0_6_6 & hAPP(all_0_45_45, c_Complex_Oii) = all_0_10_10 & class_Fields_Olinordered__field(tc_RealDef_Oreal) & class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__field(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex) & class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal) & class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex) & class_Fields_Ofield(tc_RealDef_Oreal) & class_Fields_Ofield(tc_Complex_Ocomplex) & class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal) & class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex) & class_Rings_Odivision__ring(tc_RealDef_Oreal) & class_Rings_Odivision__ring(tc_Complex_Ocomplex) & class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint) & class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal) & class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral) & class_Rings_Olinordered__semiring(tc_Int_Oint) & class_Rings_Olinordered__semiring(tc_Nat_Onat) & class_Rings_Olinordered__semiring(tc_RealDef_Oreal) & class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral) & class_Rings_Olinordered__semiring__strict(tc_Int_Oint) & class_Rings_Olinordered__semiring__strict(tc_Nat_Onat) & class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal) & class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral) & class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint) & class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat) & class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat) & class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal) & c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OPls) & c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_0_47_47) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, all_0_46_46) & c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, all_0_48_48) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, all_0_18_18) & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_51_51, all_0_18_18) & class_Orderings_Oorder(tc_HOL_Obool) & class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral) & class_Orderings_Oorder(tc_Int_Oint) & class_Orderings_Oorder(tc_Nat_Onat) & class_Orderings_Oorder(tc_RealDef_Oreal) & class_Orderings_Oord(tc_HOL_Obool) & class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral) & class_Orderings_Oord(tc_Int_Oint) & class_Orderings_Oord(tc_Nat_Onat) & class_Orderings_Oord(tc_RealDef_Oreal) & class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral) & class_Orderings_Olinorder(tc_Int_Oint) & class_Orderings_Olinorder(tc_Nat_Onat) & class_Orderings_Olinorder(tc_RealDef_Oreal) & c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Int_OPls) & class_Orderings_Opreorder(tc_HOL_Obool) & class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral) & class_Orderings_Opreorder(tc_Int_Oint) & class_Orderings_Opreorder(tc_Nat_Onat) & class_Orderings_Opreorder(tc_RealDef_Oreal) & class_Rings_Olinordered__semiring__1(tc_Int_Oint) & class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal) & class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oordered__comm__monoid__add(tc_Int_Oint) & class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat) & class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal) & class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral) & class_Rings_Oordered__comm__semiring(tc_Int_Oint) & class_Rings_Oordered__comm__semiring(tc_Nat_Onat) & class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal) & class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral) & class_Rings_Oordered__semiring(tc_Int_Oint) & class_Rings_Oordered__semiring(tc_Nat_Onat) & class_Rings_Oordered__semiring(tc_RealDef_Oreal) & class_Rings_Oordered__ring(tc_Int_Oint) & class_Rings_Oordered__ring(tc_RealDef_Oreal) & class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral) & class_Rings_Oordered__cancel__semiring(tc_Int_Oint) & class_Rings_Oordered__cancel__semiring(tc_Nat_Onat) & class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal) & class_Rings_Olinordered__ring(tc_Int_Oint) & class_Rings_Olinordered__ring(tc_RealDef_Oreal) & class_Groups_Oordered__ab__group__add(tc_Int_Oint) & class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal) & class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint) & class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat) & class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal) & class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint) & class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat) & class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal) & class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral) & class_Rings_Olinordered__semidom(tc_Int_Oint) & class_Rings_Olinordered__semidom(tc_Nat_Onat) & class_Rings_Olinordered__semidom(tc_RealDef_Oreal) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OMin) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OPls) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, all_0_13_13) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, all_0_17_17) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, all_0_47_47) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OPls) & c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_36_36, all_0_36_36) & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, all_0_18_18) & class_Rings_Oring(tc_Int_Oint) & class_Rings_Oring(tc_RealDef_Oreal) & class_Rings_Oring(tc_Complex_Ocomplex) & class_Rings_Oidom(tc_Int_Oint) & class_Rings_Oidom(tc_RealDef_Oreal) & class_Rings_Oidom(tc_Complex_Ocomplex) & class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral) & class_Rings_Ocomm__semiring(tc_Int_Oint) & class_Rings_Ocomm__semiring(tc_Nat_Onat) & class_Rings_Ocomm__semiring(tc_RealDef_Oreal) & class_Rings_Ocomm__semiring(tc_Complex_Ocomplex) & class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Ocomm__monoid__add(tc_Int_Oint) & class_Groups_Ocomm__monoid__add(tc_Nat_Onat) & class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal) & class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex) & class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Omonoid__add(tc_Int_Oint) & class_Groups_Omonoid__add(tc_Nat_Onat) & class_Groups_Omonoid__add(tc_RealDef_Oreal) & class_Groups_Omonoid__add(tc_Complex_Ocomplex) & class_Rings_Oring__no__zero__divisors(tc_Int_Oint) & class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal) & class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex) & class_Groups_Oone(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oone(tc_Int_Oint) & class_Groups_Oone(tc_Nat_Onat) & class_Groups_Oone(tc_RealDef_Oreal) & class_Groups_Oone(tc_Complex_Ocomplex) & class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint) & class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat) & class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal) & class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex) & class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Ocancel__semigroup__add(tc_Int_Oint) & class_Groups_Ocancel__semigroup__add(tc_Nat_Onat) & class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal) & class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex) & class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oab__semigroup__add(tc_Int_Oint) & class_Groups_Oab__semigroup__add(tc_Nat_Onat) & class_Groups_Oab__semigroup__add(tc_RealDef_Oreal) & class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex) & class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral) & class_Groups_Oab__semigroup__mult(tc_Int_Oint) & class_Groups_Oab__semigroup__mult(tc_Nat_Onat) & class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal) & class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex) & class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral) & class_Groups_Ozero(tc_Int_Oint) & class_Groups_Ozero(tc_Nat_Onat) & class_Groups_Ozero(tc_RealDef_Oreal) & class_Groups_Ozero(tc_Complex_Ocomplex) & class_Groups_Oab__group__add(tc_Int_Oint) & class_Groups_Oab__group__add(tc_RealDef_Oreal) & class_Groups_Oab__group__add(tc_Complex_Ocomplex) & class_Groups_Ogroup__add(tc_Int_Oint) & class_Groups_Ogroup__add(tc_RealDef_Oreal) & class_Groups_Ogroup__add(tc_Complex_Ocomplex) & class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint) & class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat) & class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal) & class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex) & class_Rings_Ocomm__ring__1(tc_Int_Oint) & class_Rings_Ocomm__ring__1(tc_RealDef_Oreal) & class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex) & class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral) & class_Rings_Ocomm__semiring__1(tc_Int_Oint) & class_Rings_Ocomm__semiring__1(tc_Nat_Onat) & class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal) & class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex) & class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral) & class_Rings_Osemiring(tc_Int_Oint) & class_Rings_Osemiring(tc_Nat_Onat) & class_Rings_Osemiring(tc_RealDef_Oreal) & class_Rings_Osemiring(tc_Complex_Ocomplex) & class_Groups_Olinordered__ab__group__add(tc_Int_Oint) & class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal) & class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral) & class_Rings_Osemiring__0(tc_Int_Oint) & class_Rings_Osemiring__0(tc_Nat_Onat) & class_Rings_Osemiring__0(tc_RealDef_Oreal) & class_Rings_Osemiring__0(tc_Complex_Ocomplex) & class_Rings_Oring__1(tc_Int_Oint) & class_Rings_Oring__1(tc_RealDef_Oreal) & class_Rings_Oring__1(tc_Complex_Ocomplex) & class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral) & class_Groups_Ocomm__monoid__mult(tc_Int_Oint) & class_Groups_Ocomm__monoid__mult(tc_Nat_Onat) & class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal) & class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex) & class_Rings_Olinordered__ring__strict(tc_Int_Oint) & class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex) & class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral) & class_Rings_Ozero__neq__one(tc_Int_Oint) & class_Rings_Ozero__neq__one(tc_Nat_Onat) & class_Rings_Ozero__neq__one(tc_RealDef_Oreal) & class_Rings_Ozero__neq__one(tc_Complex_Ocomplex) & class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral) & class_Rings_Ono__zero__divisors(tc_Int_Oint) & class_Rings_Ono__zero__divisors(tc_Nat_Onat) & class_Rings_Ono__zero__divisors(tc_RealDef_Oreal) & class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex) & class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral) & class_Rings_Omult__zero(tc_Int_Oint) & class_Rings_Omult__zero(tc_Nat_Onat) & class_Rings_Omult__zero(tc_RealDef_Oreal) & class_Rings_Omult__zero(tc_Complex_Ocomplex) & class_Power_Opower(tc_Code__Numeral_Ocode__numeral) & class_Power_Opower(tc_Int_Oint) & class_Power_Opower(tc_Nat_Onat) & class_Power_Opower(tc_RealDef_Oreal) & class_Power_Opower(tc_Complex_Ocomplex) & class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex) & class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint) & class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal) & class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex) & class_Rings_Olinordered__idom(tc_Int_Oint) & class_Rings_Olinordered__idom(tc_RealDef_Oreal) & class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral) & class_Groups_Omonoid__mult(tc_Int_Oint) & class_Groups_Omonoid__mult(tc_Nat_Onat) & class_Groups_Omonoid__mult(tc_RealDef_Oreal) & class_Groups_Omonoid__mult(tc_Complex_Ocomplex) & class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex) & class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal) & class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex) & class_Int_Onumber(tc_Code__Numeral_Ocode__numeral) & class_Int_Onumber(tc_Int_Oint) & class_Int_Onumber(tc_Nat_Onat) & class_Int_Onumber(tc_RealDef_Oreal) & class_Int_Onumber(tc_Complex_Ocomplex) & class_Int_Oring__char__0(tc_Int_Oint) & class_Int_Oring__char__0(tc_RealDef_Oreal) & class_Int_Oring__char__0(tc_Complex_Ocomplex) & class_Int_Onumber__ring(tc_Int_Oint) & class_Int_Onumber__ring(tc_RealDef_Oreal) & class_Int_Onumber__ring(tc_Complex_Ocomplex) & class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral) & class_Rings_Osemiring__1(tc_Int_Oint) & class_Rings_Osemiring__1(tc_Nat_Onat) & class_Rings_Osemiring__1(tc_RealDef_Oreal) & class_Rings_Osemiring__1(tc_Complex_Ocomplex) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OMin) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OMin) & ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls) & ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, all_0_36_36) & ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, all_0_47_47) & ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OMin) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (c_NthRoot_Osqrt(v14) = v15) | ~ (c_NthRoot_Osqrt(v8) = v9) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) = v14) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v15) = v16) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~ (hAPP(v12, all_0_48_48) = v13) | ~ (hAPP(v10, all_0_48_48) = v11) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(all_0_44_44, v3) = v4) | ~ (hAPP(all_0_44_44, v2) = v10) | ~ (hAPP(all_0_44_44, v1) = v6) | ~ (hAPP(all_0_44_44, v0) = v12) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (c_NthRoot_Osqrt(v23) = v24 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v19, v22) = v23 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) = v17 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v20 & hAPP(v21, all_0_48_48) = v22 & hAPP(v18, all_0_48_48) = v19 & hAPP(all_0_44_44, v20) = v21 & hAPP(all_0_44_44, v17) = v18 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v24, v16))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v9) | ~ (c_Int_Onumber__class_Onumber__of(v2, all_0_49_49) = v10) | ~ (c_Groups_Oplus__class_Oplus(v2, v8, v14) = v15) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v13, v0) = v14) | ~ (hAPP(v11, v1) = v12) | ~ (hAPP(v9, v12) = v13) | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Int_Onumber__ring(v2) | ? [v16] : ? [v17] : (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v16 & hAPP(v17, all_0_48_48) = v15 & hAPP(v3, v16) = v17)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) = v14) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~ (hAPP(v12, all_0_48_48) = v13) | ~ (hAPP(v10, all_0_48_48) = v11) | ~ (hAPP(v9, v14) = v15) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(all_0_40_40, v8) = v9) | ~ (hAPP(all_0_44_44, v3) = v4) | ~ (hAPP(all_0_44_44, v2) = v6) | ~ (hAPP(all_0_44_44, v1) = v10) | ~ (hAPP(all_0_44_44, v0) = v12) | ? [v16] : ? [v17] : (c_NthRoot_Osqrt(v15) = v16 & hAPP(v17, all_0_48_48) = v15 & hAPP(all_0_44_44, v16) = v17)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) = v14) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~ (hAPP(v12, all_0_48_48) = v13) | ~ (hAPP(v10, all_0_48_48) = v11) | ~ (hAPP(v9, v14) = v15) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(all_0_40_40, v8) = v9) | ~ (hAPP(all_0_44_44, v3) = v4) | ~ (hAPP(all_0_44_44, v2) = v6) | ~ (hAPP(all_0_44_44, v1) = v10) | ~ (hAPP(all_0_44_44, v0) = v12) | ? [v16] : (c_NthRoot_Osqrt(v15) = v16 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v16))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Rings_Oinverse__class_Odivide(v4, v10, v12) = v13) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v9) = v10) | ~ (hAPP(v11, v2) = v12) | ~ (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v3) = v11) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v8) | ~ class_Fields_Ofield(v4) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v13 & c_Rings_Oinverse__class_Odivide(v4, v1, v3) = v14 & c_Rings_Oinverse__class_Odivide(v4, v0, v2) = v15 & c_Groups_Oplus__class_Oplus(v4, v14, v15) = v13) | (c_Groups_Ozero__class_Ozero(v4) = v14 & (v14 = v3 | v14 = v2)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v4) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Oone__class_Oone(v2) = v5) | ~ (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] : ( ~ (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] : (( ~ (v13 = v12) & c_Groups_Oplus__class_Oplus(v5, v1, v0) = v12 & c_Groups_Oone__class_Oone(v5) = v13) | (c_Groups_Ozero__class_Ozero(v5) = v12 & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v1) | ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v5, v8, v10) = v11) | ~ (hAPP(v9, v2) = v10) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v6, v0) = v9) | ~ class_Rings_Olinordered__semiring__1(v5) | ~ c_Orderings_Oord__class_Oless__eq(v5, v4, v3) | ~ c_Orderings_Oord__class_Oless__eq(v5, v2, v3) | c_Orderings_Oord__class_Oless__eq(v5, v11, v3) | ? [v12] : ? [v13] : (( ~ (v13 = v12) & c_Groups_Oplus__class_Oplus(v5, v1, v0) = v12 & c_Groups_Oone__class_Oone(v5) = v13) | (c_Groups_Ozero__class_Ozero(v5) = v12 & ( ~ 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_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, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : ? [v13] : (hAPP(v12, v10) = v13 & hAPP(v6, v13) = v11 & hAPP(v5, v2) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v1) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : (hAPP(v9, v12) = v11 & hAPP(v8, v0) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v8, v10) = v11) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v9) | ~ class_Rings_Ocomm__semiring__1(v4) | ? [v12] : ? [v13] : ? [v14] : ? [v15] : (hAPP(v14, v0) = v15 & hAPP(v13, v15) = v11 & hAPP(v6, v2) = v12 & hAPP(v5, v12) = v13 & hAPP(v5, v1) = v14)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (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_Groups_Otimes__class_Otimes(v3) = v5) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (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] : ( ~ (c_Rings_Oinverse__class_Odivide(v4, v7, v9) = v10) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Fields_Ofield__inverse__zero(v4) | ? [v11] : ? [v12] : ? [v13] : (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v11 & c_Rings_Oinverse__class_Odivide(v4, v1, v0) = v13 & hAPP(v12, v13) = v10 & hAPP(v5, v11) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_RealVector_Onorm__class_Onorm(v4, v7) = v8) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(all_0_40_40, v2) = v9) | ~ class_RealVector_Oreal__normed__algebra(v4) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v10) | ? [v11] : ((c_RealVector_Onorm__class_Onorm(v4, v3) = v11 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v2)) | (c_RealVector_Onorm__class_Onorm(v4, v1) = v11 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, 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, 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] : ((v3 = v1 | v2 = v0 | ( ~ (v13 = v10) & c_Groups_Oplus__class_Oplus(v4, v11, v12) = v13 & hAPP(v7, v0) = v12 & hAPP(v6, v2) = v11)) & ((v13 = v10 & c_Groups_Oplus__class_Oplus(v4, v11, v12) = v10 & hAPP(v7, v0) = v12 & hAPP(v6, v2) = v11) | ( ~ (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] : ((v3 = v2 | v1 = v0 | ( ~ (v13 = v10) & c_Groups_Oplus__class_Oplus(v4, v11, v12) = v13 & hAPP(v7, v0) = v12 & hAPP(v6, v1) = v11)) & ((v13 = v10 & c_Groups_Oplus__class_Oplus(v4, v11, v12) = v10 & hAPP(v7, v0) = v12 & hAPP(v6, v1) = v11) | ( ~ (v3 = v2) & ~ (v1 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (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_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v5) | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v7) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v9) = v10) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v4, v5) = v6) | ~ class_Int_Onumber__ring(v3) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Int_Onumber__class_Onumber__of(v3, v12) = v13 & hAPP(v14, v0) = v10 & hAPP(v11, v1) = v12 & hAPP(v4, v13) = v14 & hAPP(all_0_39_39, v2) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v7, v9) = v10) | ~ (hAPP(v8, v5) = v9) | ~ (hAPP(v6, v5) = v7) | ~ (hAPP(v4, v2) = v6) | ~ (hAPP(v4, v1) = v8) | ~ class_Rings_Osemiring(v3) | ~ class_Int_Onumber(v3) | ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v11 & hAPP(v12, v5) = v10 & hAPP(v4, v11) = v12)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Power_Opower__class_Opower(v3) = v5) | ~ (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_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v8, all_0_48_48) = v9) | ~ (hAPP(v6, v9) = v10) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v7) | ~ (hAPP(v3, v7) = v8) | ~ (hAPP(v3, v1) = v4) | ~ class_Groups_Omonoid__mult(v2) | ? [v11] : ? [v12] : (c_Nat_OSuc(v11) = v12 & hAPP(v4, v12) = v10 & hAPP(all_0_31_31, v0) = v11)) & ! [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_39_39, v5) = v6) | ~ (hAPP(all_0_39_39, v2) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, c_Int_OPls) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, 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_39_39, v5) = v6) | ~ (hAPP(all_0_39_39, v2) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v8) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v9) = v10) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_27_27, v1) = v7) | ~ (hAPP(all_0_40_40, v7) = v8) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v11 & hAPP(v12, all_0_48_48) = v10 & hAPP(all_0_44_44, v11) = v12)) & ! [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_Rings_Oinverse__class_Odivide(v3, v6, v8) = v9) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v10] : ((v10 = v9 & c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v9) | (v10 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v6, v8) = v9) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v7) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Ofield(v3) | ? [v10] : ? [v11] : ? [v12] : ((v12 = v9 & c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v10 & hAPP(v11, v0) = v9 & hAPP(v4, v10) = v11) | (v10 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v6, v8) = v9) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v10] : ? [v11] : (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v10 & hAPP(v11, v0) = 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_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v8) | ~ class_Fields_Ofield(v4) | ? [v10] : ? [v11] : ((c_Groups_Ozero__class_Ozero(v4) = v10 & (v10 = v3 | v10 = v2)) | (( ~ (v9 = v7) | (v11 = v10 & c_Rings_Oinverse__class_Odivide(v4, v1, v3) = v10 & c_Rings_Oinverse__class_Odivide(v4, v0, v2) = v10)) & (v9 = v7 | ( ~ (v11 = v10) & c_Rings_Oinverse__class_Odivide(v4, v1, v3) = v10 & c_Rings_Oinverse__class_Odivide(v4, v0, v2) = v11))))) & ! [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) | ~ class_Rings_Oordered__semiring(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Rings_Oordered__semiring(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v7, v9) | ? [v10] : (c_Groups_Ozero__class_Ozero(v4) = v10 & ( ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v10, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v7, v8) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v6, v0) = v8) | ~ (hAPP(v4, v5) = v6) | ~ class_Rings_Osemiring(v3) | ~ class_Int_Onumber(v3) | ? [v10] : (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v10 & hAPP(v6, v10) = 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_Rings_Ocomm__semiring__1(v3) | ? [v10] : ? [v11] : (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v10 & hAPP(v11, v0) = v9 & hAPP(v4, v10) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, 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_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_39_39, 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, c_Int_OPls) | 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_39_39, 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, c_Int_OPls, 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_35_35, v3) = v4) | ~ (hAPP(all_0_35_35, 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_35_35, v10) = v11)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v4 | ~ (c_Nat_OSuc(v6) = v7) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v3) = v4) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v2, v4) = v5) | ~ (hAPP(all_0_31_31, v0) = v6) | ~ class_Rings_Oring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = all_0_36_36 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(all_0_35_35, v5) = v6) | ~ (hAPP(all_0_35_35, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls)) & ! [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_Rings_Oinverse__class_Odivide(v3, v7, v2) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Fields_Ofield(v3) | ? [v9] : ? [v10] : ((v10 = v8 & c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v9 & c_Groups_Oplus__class_Oplus(v3, v1, v9) = v8) | (v9 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v7, v2) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v6) = v7) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v9] : ? [v10] : ((v10 = v8 & c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v9 & c_Groups_Oplus__class_Oplus(v3, v9, v0) = v8) | (v9 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v7, v2) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Fields_Ofield(v3) | ? [v9] : ? [v10] : ((v10 = v8 & c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v9 & c_Groups_Oplus__class_Oplus(v3, v9, v0) = v8) | (v9 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v7, v2) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v6) = v7) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v9] : ? [v10] : ((v10 = v8 & c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v9 & c_Groups_Oplus__class_Oplus(v3, v1, v9) = v8) | (v9 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v6, v7) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v9] : ((v9 = v8 & c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v8) | (v9 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v0) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless(v3, v5, v0) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) | c_Orderings_Oord__class_Oless(v3, v2, v8)) & (c_Orderings_Oord__class_Oless(v3, v9, v4) | (( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless(v3, v8, v2)) & (c_Orderings_Oord__class_Oless(v3, v9, v0) | c_Orderings_Oord__class_Oless(v3, v4, v9)))))) & (c_Orderings_Oord__class_Oless(v3, v5, v0) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v4) & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) & ((c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v0) & ~ c_Orderings_Oord__class_Oless(v3, v4, v9))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v0) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless__eq(v3, v5, v0) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) | c_Orderings_Oord__class_Oless__eq(v3, v2, v8)) & (c_Orderings_Oord__class_Oless(v3, v9, v4) | (( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless__eq(v3, v8, v2)) & (c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless__eq(v3, v9, v0)))))) & (c_Orderings_Oord__class_Oless__eq(v3, v5, v0) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v4) & ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) & ((c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2)) | ( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v0))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v0) = v7) | ~ class_Fields_Ofield__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ (v5 = v0) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ (v9 = v4) | v4 = v0) & (v9 = v4 | v8 = v2))) & (v5 = v0 | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((v9 = v4 & ~ (v4 = v0)) | ( ~ (v9 = v4) & ~ (v8 = v2))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v5) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v6, v5) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v1) | c_Orderings_Oord__class_Oless(v3, v2, v8)) & (c_Orderings_Oord__class_Oless(v3, v9, v1) | (( ~ c_Orderings_Oord__class_Oless(v3, v1, v9) | c_Orderings_Oord__class_Oless(v3, v8, v2)) & (c_Orderings_Oord__class_Oless(v3, v9, v5) | c_Orderings_Oord__class_Oless(v3, v1, v9)))))) & (c_Orderings_Oord__class_Oless(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v1) & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v1) & ((c_Orderings_Oord__class_Oless(v3, v1, v9) & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v5) & ~ c_Orderings_Oord__class_Oless(v3, v1, v9))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v5) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v6, v5) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v1) | c_Orderings_Oord__class_Oless__eq(v3, v2, v8)) & (c_Orderings_Oord__class_Oless(v3, v9, v1) | (( ~ c_Orderings_Oord__class_Oless(v3, v1, v9) | c_Orderings_Oord__class_Oless__eq(v3, v8, v2)) & (c_Orderings_Oord__class_Oless(v3, v1, v9) | c_Orderings_Oord__class_Oless__eq(v3, v9, v5)))))) & (c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v1) & ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v1) & ((c_Orderings_Oord__class_Oless(v3, v1, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2)) | ( ~ c_Orderings_Oord__class_Oless(v3, v1, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v5))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v5) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v6, v5) = v7) | ~ class_Fields_Ofield__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ (v5 = v4) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ (v9 = v1) | v4 = v1) & (v9 = v1 | v8 = v2))) & (v5 = v4 | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((v9 = v1 & ~ (v5 = v1)) | ( ~ (v9 = v1) & ~ (v8 = v2))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v4) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v4) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v2) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless(v3, v2, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) | c_Orderings_Oord__class_Oless(v3, v8, v1)) & (c_Orderings_Oord__class_Oless(v3, v9, v4) | (( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless(v3, v1, v8)) & (c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless(v3, v2, v9)))))) & (c_Orderings_Oord__class_Oless(v3, v2, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v4) & ~ c_Orderings_Oord__class_Oless(v3, v8, v1)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) & ((c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless(v3, v1, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless(v3, v2, v9))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v4) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v4) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v2) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) | c_Orderings_Oord__class_Oless__eq(v3, v8, v1)) & (c_Orderings_Oord__class_Oless(v3, v9, v4) | (( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless__eq(v3, v1, v8)) & (c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless__eq(v3, v2, v9)))))) & (c_Orderings_Oord__class_Oless__eq(v3, v2, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v4) & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v1)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) & ((c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v9))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v4) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v4) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v2) = v7) | ~ class_Fields_Ofield__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ (v5 = v2) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ (v9 = v4) | v4 = v2) & (v9 = v4 | v8 = v1))) & (v5 = v2 | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((v9 = v4 & ~ (v4 = v2)) | ( ~ (v9 = v4) & ~ (v8 = v1))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v6, v4) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v0) | c_Orderings_Oord__class_Oless(v3, v8, v1)) & (c_Orderings_Oord__class_Oless(v3, v9, v0) | (( ~ c_Orderings_Oord__class_Oless(v3, v0, v9) | c_Orderings_Oord__class_Oless(v3, v1, v8)) & (c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless(v3, v0, v9)))))) & (c_Orderings_Oord__class_Oless(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v0) & ~ c_Orderings_Oord__class_Oless(v3, v8, v1)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v0) & ((c_Orderings_Oord__class_Oless(v3, v0, v9) & ~ c_Orderings_Oord__class_Oless(v3, v1, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless(v3, v0, v9))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v6, v4) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v0) | c_Orderings_Oord__class_Oless__eq(v3, v8, v1)) & (c_Orderings_Oord__class_Oless(v3, v9, v0) | (( ~ c_Orderings_Oord__class_Oless(v3, v0, v9) | c_Orderings_Oord__class_Oless__eq(v3, v1, v8)) & (c_Orderings_Oord__class_Oless(v3, v0, v9) | c_Orderings_Oord__class_Oless__eq(v3, v4, v9)))))) & (c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v0) & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v1)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v0) & ((c_Orderings_Oord__class_Oless(v3, v0, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v0, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v9))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v6, v4) = v7) | ~ class_Fields_Ofield__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ (v5 = v4) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ (v9 = v0) | v4 = v0) & (v9 = v0 | v8 = v1))) & (v5 = v4 | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((v9 = v0 & ~ (v4 = v0)) | ( ~ (v9 = v0) & ~ (v8 = v1))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_0_28_28) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(all_0_44_44, v1) = v4) | ~ (hAPP(all_0_44_44, v0) = v6) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0) | ? [v9] : (c_NthRoot_Osqrt(v8) = v9 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v7) = v8) | ~ (c_NthRoot_Osqrt(v6) = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v9] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v9 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, all_0_51_51))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, all_0_18_18) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(all_0_44_44, v2) = v4) | ~ (hAPP(all_0_44_44, v0) = v6) | ? [v9] : ((c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v9 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v3)) | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v9 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v3)) | (c_NthRoot_Osqrt(v8) = v9 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v7) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v9 & hAPP(v5, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_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) | ~ (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_Orderings_Oord__class_Oless(v3, v6, v8) | (c_Groups_Ozero__class_Ozero(v3) = v9 & c_Orderings_Oord__class_Oless(v3, v9, v1) & c_Orderings_Oord__class_Oless(v3, v2, v0)) | (c_Groups_Ozero__class_Ozero(v3) = v9 & 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, v2, v0) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless(v3, v9, v1))) & ( ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless(v3, v1, v9))))))) & ! [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(v9, v0) = v10 & hAPP(v5, v10) = v8 & hAPP(v4, v1) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v7) | ~ (hAPP(v4, v1) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless(v3, v0, v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v7) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Oordered__ring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless(v3, v9, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Oordered__semiring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v6, v7) = v8) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : (hAPP(v6, v0) = v9 & hAPP(v5, v9) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & c_Orderings_Oord__class_Oless__eq(v2, v9, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ~ c_Orderings_Oord__class_Oless(v2, v8, v9))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ (v9 = v8) | (v8 = v0 & v1 = v0)) & ( ~ (v9 = v0) | ~ (v1 = v0) | v8 = v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ (v9 = v0) | ~ (v1 = v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v8)) & (c_Orderings_Oord__class_Oless(v2, v9, v8) | (v9 = v0 & v1 = v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring__strict(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ (v9 = v0) | ~ (v1 = v0) | c_Orderings_Oord__class_Oless__eq(v2, v8, v0)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v9) | (v9 = v0 & v1 = v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Power_Opower__class_Opower(v2) = v5) | ~ (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] : ((c_Groups_Ozero__class_Ozero(v2) = v9 & ~ c_Orderings_Oord__class_Oless(v2, v9, v1)) | (c_Groups_Oone__class_Oone(v2) = v9 & ~ c_Orderings_Oord__class_Oless(v2, v1, v9)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Power_Opower__class_Opower(v2) = v5) | ~ (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_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Power_Opower__class_Opower(v2) = v5) | ~ (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_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (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_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (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_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(all_0_35_35, v5) = v6) | ~ (hAPP(all_0_35_35, v3) = v4) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v10) = v11 & hAPP(v12, v0) = v8 & hAPP(v9, v1) = v10 & hAPP(all_0_35_35, v11) = v12 & hAPP(all_0_39_39, v2) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__idom(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_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__idom(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_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__idom(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_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__idom(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_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__idom(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_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ c_Orderings_Oord__class_Oless(v3, v6, v8) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v2, v0) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(all_0_35_35, 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(v3) = v4) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(all_0_35_35, 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] : (v7 = v3 | ~ (c_Nat_OSuc(v5) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v3) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v2, v3) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Int_Onumber__ring(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v3 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v3) = v4) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v2, v4) = v5) | ~ (hAPP(all_0_31_31, v0) = v6) | ~ class_Rings_Oring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v2 = v0 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v1) = v6) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | ~ class_Rings_Olinordered__semidom(v3) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2) | ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v6, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Odivision__ring(v3) | ? [v8] : (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v8 & hAPP(v5, v8) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ? [v8] : (( ~ c_Orderings_Oord__class_Oless(v3, v4, v0) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v1) | c_Orderings_Oord__class_Oless(v3, v2, v7)) & (c_Orderings_Oord__class_Oless(v3, v8, v1) | (( ~ c_Orderings_Oord__class_Oless(v3, v1, v8) | c_Orderings_Oord__class_Oless(v3, v7, v2)) & (c_Orderings_Oord__class_Oless(v3, v8, v0) | c_Orderings_Oord__class_Oless(v3, v1, v8)))))) & (c_Orderings_Oord__class_Oless(v3, v4, v0) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ((c_Orderings_Oord__class_Oless(v3, v8, v1) & ~ c_Orderings_Oord__class_Oless(v3, v2, v7)) | ( ~ c_Orderings_Oord__class_Oless(v3, v8, v1) & ((c_Orderings_Oord__class_Oless(v3, v1, v8) & ~ c_Orderings_Oord__class_Oless(v3, v7, v2)) | ( ~ c_Orderings_Oord__class_Oless(v3, v8, v0) & ~ c_Orderings_Oord__class_Oless(v3, v1, v8))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ? [v8] : (( ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v0) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v1) | c_Orderings_Oord__class_Oless__eq(v3, v2, v7)) & (c_Orderings_Oord__class_Oless(v3, v8, v1) | (( ~ c_Orderings_Oord__class_Oless(v3, v1, v8) | c_Orderings_Oord__class_Oless__eq(v3, v7, v2)) & (c_Orderings_Oord__class_Oless(v3, v1, v8) | c_Orderings_Oord__class_Oless__eq(v3, v8, v0)))))) & (c_Orderings_Oord__class_Oless__eq(v3, v4, v0) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ((c_Orderings_Oord__class_Oless(v3, v8, v1) & ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v7)) | ( ~ c_Orderings_Oord__class_Oless(v3, v8, v1) & ((c_Orderings_Oord__class_Oless(v3, v1, v8) & ~ c_Orderings_Oord__class_Oless__eq(v3, v7, v2)) | ( ~ c_Orderings_Oord__class_Oless(v3, v1, v8) & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v8] : (( ~ (v4 = v0) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ (v8 = v1) | v1 = v0) & (v8 = v1 | v7 = v2))) & (v4 = v0 | (c_Groups_Ozero__class_Ozero(v3) = v8 & ((v8 = v1 & ~ (v1 = v0)) | ( ~ (v8 = v1) & ~ (v7 = v2))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v1, v6) | c_Orderings_Oord__class_Oless(v3, v7, 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_Rings_Oinverse__class_Odivide(v3, v1, v2) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v6) | c_Orderings_Oord__class_Oless__eq(v3, v7, 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_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v7, v1) | c_Orderings_Oord__class_Oless(v3, v4, v0) | ? [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_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v4, v0) | c_Orderings_Oord__class_Oless(v3, v7, 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_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v4, v0) | c_Orderings_Oord__class_Oless(v3, v1, 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_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v1, v7) | c_Orderings_Oord__class_Oless(v3, v4, 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_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v7, v1) | c_Orderings_Oord__class_Oless__eq(v3, v4, v0) | ? [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_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v0) | c_Orderings_Oord__class_Oless__eq(v3, v7, 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_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v0) | c_Orderings_Oord__class_Oless__eq(v3, v1, 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_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v7) | c_Orderings_Oord__class_Oless__eq(v3, v4, 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_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v2) = v6) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ? [v8] : (( ~ c_Orderings_Oord__class_Oless(v3, v2, v4) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v0) | c_Orderings_Oord__class_Oless(v3, v7, v1)) & (c_Orderings_Oord__class_Oless(v3, v8, v0) | (( ~ c_Orderings_Oord__class_Oless(v3, v0, v8) | c_Orderings_Oord__class_Oless(v3, v1, v7)) & (c_Orderings_Oord__class_Oless(v3, v2, v8) | c_Orderings_Oord__class_Oless(v3, v0, v8)))))) & (c_Orderings_Oord__class_Oless(v3, v2, v4) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ((c_Orderings_Oord__class_Oless(v3, v8, v0) & ~ c_Orderings_Oord__class_Oless(v3, v7, v1)) | ( ~ c_Orderings_Oord__class_Oless(v3, v8, v0) & ((c_Orderings_Oord__class_Oless(v3, v0, v8) & ~ c_Orderings_Oord__class_Oless(v3, v1, v7)) | ( ~ c_Orderings_Oord__class_Oless(v3, v2, v8) & ~ c_Orderings_Oord__class_Oless(v3, v0, v8))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v2) = v6) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ? [v8] : (( ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v4) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v0) | c_Orderings_Oord__class_Oless__eq(v3, v7, v1)) & (c_Orderings_Oord__class_Oless(v3, v8, v0) | (( ~ c_Orderings_Oord__class_Oless(v3, v0, v8) | c_Orderings_Oord__class_Oless__eq(v3, v1, v7)) & (c_Orderings_Oord__class_Oless(v3, v0, v8) | c_Orderings_Oord__class_Oless__eq(v3, v2, v8)))))) & (c_Orderings_Oord__class_Oless__eq(v3, v2, v4) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ((c_Orderings_Oord__class_Oless(v3, v8, v0) & ~ c_Orderings_Oord__class_Oless__eq(v3, v7, v1)) | ( ~ c_Orderings_Oord__class_Oless(v3, v8, v0) & ((c_Orderings_Oord__class_Oless(v3, v0, v8) & ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v7)) | ( ~ c_Orderings_Oord__class_Oless(v3, v0, v8) & ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v8))))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v2) = v6) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v8] : (( ~ (v4 = v2) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ (v8 = v0) | v2 = v0) & (v8 = v0 | v7 = v1))) & (v4 = v2 | (c_Groups_Ozero__class_Ozero(v3) = v8 & ((v8 = v0 & ~ (v2 = v0)) | ( ~ (v8 = v0) & ~ (v7 = v1))))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v0) | c_Orderings_Oord__class_Oless(v3, v1, 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_Rings_Oinverse__class_Odivide(v3, v0, v2) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v0) | c_Orderings_Oord__class_Oless__eq(v3, v1, 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_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v7, v0) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [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_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v1, v4) | c_Orderings_Oord__class_Oless(v3, v7, 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_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v1, v4) | c_Orderings_Oord__class_Oless(v3, v0, 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_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v0, v7) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [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_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v7, v0) | c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | ? [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_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | c_Orderings_Oord__class_Oless__eq(v3, v7, 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_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | c_Orderings_Oord__class_Oless__eq(v3, v0, 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_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v7) | c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | ? [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_Rings_Oinverse__class_Odivide(v3, v0, v1) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ? [v8] : ((c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v8 & c_Orderings_Oord__class_Oless(v3, v7, v8)) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v6) | ~ c_Orderings_Oord__class_Oless(v3, v8, v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v1) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | ? [v8] : ((c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v8 & c_Orderings_Oord__class_Oless__eq(v3, v7, v8)) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v6) | ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v1) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ? [v8] : ((c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v8 & c_Orderings_Oord__class_Oless(v3, v8, v7)) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v6) | ~ c_Orderings_Oord__class_Oless(v3, v0, v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v1) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | ? [v8] : ((c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v8 & c_Orderings_Oord__class_Oless__eq(v3, v8, v7)) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v6) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v8))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v6) = v7) | ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Ofield__inverse__zero(v2) | ? [v8] : ? [v9] : (c_Rings_Oinverse__class_Odivide(v2, v3, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(v4, v8) = v9)) & ! [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_Nat_OSuc(v5) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Otimes__class_Otimes(v2) = v8 & hAPP(v11, v10) = v12 & hAPP(v9, v12) = v7 & hAPP(v8, v10) = v11 & hAPP(v8, v1) = v9 & hAPP(v4, v0) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Nat_OSuc(v5) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Rings_Olinordered__idom(v2) | ? [v8] : (c_Groups_Ozero__class_Ozero(v2) = v8 & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v8) | c_Orderings_Oord__class_Oless(v2, v7, v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Nat_OSuc(v5) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Rings_Olinordered__idom(v2) | ? [v8] : (c_Groups_Ozero__class_Ozero(v2) = v8 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v7) | c_Orderings_Oord__class_Oless__eq(v2, v8, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Oring(v2) | ? [v8] : (hAPP(v8, v0) = v7 & hAPP(v3, v1) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_31_31, v0) = v6) | ~ class_Rings_Oring__1(v2) | ? [v8] : (hAPP(v8, v6) = v7 & hAPP(v3, v1) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v4) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v3, v5) = v6) | ~ class_Int_Onumber__ring(v2) | ? [v8] : ? [v9] : ? [v10] : (c_Groups_Ouminus__class_Ouminus(v2, v8) = v9 & c_Int_Onumber__class_Onumber__of(v2, v1) = v8 & hAPP(v10, v0) = v7 & hAPP(v3, v9) = v10)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v0, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Oordered__ring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Olinordered__comm__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Oordered__comm__semiring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Oordered__semiring(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semiring(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | c_Orderings_Oord__class_Oless(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | c_Orderings_Oord__class_Oless(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semiring__strict(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v0, v1) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v0, v1) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless__eq(v3, v0, v1) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v1) | ~ class_Rings_Olinordered__ring__strict(v3) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__ring__strict(v3) | ? [v8] : (( ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | (c_Groups_Ozero__class_Ozero(v3) = v8 & c_Orderings_Oord__class_Oless(v3, v8, v2) & c_Orderings_Oord__class_Oless(v3, v1, v0)) | (c_Groups_Ozero__class_Ozero(v3) = v8 & 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, v1, v0) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ( ~ c_Orderings_Oord__class_Oless(v3, v0, v1) | (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(v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v4) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v4) = v5) | ~ class_Int_Onumber__ring(v2) | ? [v8] : ? [v9] : (c_Int_Onumber__class_Onumber__of(v2, v9) = v7 & hAPP(v8, v0) = v9 & hAPP(all_0_39_39, v1) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v4) = v5) | ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~ (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_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v0, v4) = v5) | ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v3, v5) = v6) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(v2, v1, v9) = v7 & hAPP(v8, v1) = v9 & hAPP(v3, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_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] : (( ~ (v7 = v5) | v1 = v0 | (v8 = v1 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v1)) & (v7 = v5 | ( ~ (v8 = v1) & ~ (v1 = v0) & c_Groups_Ouminus__class_Ouminus(v2, v0) = v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v6) | ~ (c_Groups_Oplus__class_Oplus(v1, v3, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v2, v4) = v5) | ~ class_Int_Onumber__ring(v1) | ? [v8] : (c_Int_OBit0(v0) = v8 & c_Int_Onumber__class_Onumber__of(v1, v8) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_RealVector_Onorm__class_Onorm(v4, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v0) = v7) | ~ class_RealVector_Oreal__normed__vector(v4) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v7) | ? [v8] : ((c_RealVector_Onorm__class_Onorm(v4, v3) = v8 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v2)) | (c_RealVector_Onorm__class_Onorm(v4, v1) = v8 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v1) = v4) | ~ (c_RealVector_Onorm__class_Onorm(v3, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(all_0_40_40, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v7) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_0_41_41) | ~ class_RealVector_Oreal__normed__vector(v3) | c_Groups_Ozero__class_Ozero(v3) = v1) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v4) | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v5, v0) = v6) | ~ (c_Groups_Oplus__class_Oplus(v3, v4, v6) = v7) | ~ class_Int_Onumber__ring(v3) | ? [v8] : ? [v9] : (c_Int_Onumber__class_Onumber__of(v3, v8) = v9 & c_Groups_Oplus__class_Oplus(v3, v9, v0) = v7 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, 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, 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, v4, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_39_39, v2) = v3) | ~ (hAPP(all_0_39_39, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_39_39, v8) = v9)) & ! [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_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_35_35, v8) = v9)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_40_40, v2) = v3) | ~ (hAPP(all_0_40_40, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_40_40, v8) = 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) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : ((c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0)) | (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v0, v8)))) & ! [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] : ((c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0)) | (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Olinordered__semidom(v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_0_35_35, v3) = v4) | ~ (hAPP(all_0_35_35, 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_37_37, v2) = v3) | ~ (hAPP(all_0_39_39, v4) = v5) | ? [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 = v4 | v2 = all_0_36_36 | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2) | ~ (c_Power_Opower__class_Opower(v1) = v3) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v1 | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v0) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Odivision__ring(v3) | c_Groups_Ozero__class_Ozero(v3) = v2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v1 | ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v0) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Odivision__ring(v3) | c_Groups_Ozero__class_Ozero(v3) = v2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v1) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Odivision__ring(v3) | c_Groups_Ozero__class_Ozero(v3) = v2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v1) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Odivision__ring(v3) | c_Groups_Ozero__class_Ozero(v3) = v2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v1 | ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v0) | ~ (hAPP(v5, v1) = v6) | ~ class_Rings_Odivision__ring(v3) | c_Groups_Ozero__class_Ozero(v3) = v2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v1) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Odivision__ring(v3) | c_Groups_Ozero__class_Ozero(v3) = v2) & ! [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 = all_0_41_41 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v3) | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_40_40, v2) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v6) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_0_41_41)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v7] : ( ~ (v7 = v0) & c_NthRoot_Osqrt(v6) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v0 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v7] : ( ~ (v7 = v1) & c_NthRoot_Osqrt(v6) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v0) = v5) | ~ (c_Rings_Oinverse__class_Odivide(v4, v2, v1) = v6) | ~ class_Fields_Olinordered__field(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) | ? [v7] : (c_Groups_Ozero__class_Ozero(v4) = v7 & ( ~ c_Orderings_Oord__class_Oless(v4, v7, v1) | ~ c_Orderings_Oord__class_Oless__eq(v4, v7, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v0) = v5) | ~ (c_Rings_Oinverse__class_Odivide(v4, v2, v1) = v6) | ~ class_Fields_Olinordered__field(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) | ? [v7] : (c_Groups_Ozero__class_Ozero(v4) = v7 & ( ~ c_Orderings_Oord__class_Oless(v4, v7, v3) | ~ c_Orderings_Oord__class_Oless(v4, v7, v1)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v0) = v5) | ~ (c_Rings_Oinverse__class_Odivide(v4, v2, v1) = v6) | ~ class_Fields_Olinordered__field(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) | ? [v7] : (c_Groups_Ozero__class_Ozero(v4) = v7 & ( ~ c_Orderings_Oord__class_Oless(v4, v7, v1) | ~ c_Orderings_Oord__class_Oless__eq(v4, v7, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v4) | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v4, v5) = v6) | ~ class_RealVector_Oreal__normed__field(v3) | ? [v7] : (c_Rings_Oinverse__class_Odivide(v3, v7, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v4) | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v4, v5) = v6) | ~ class_Rings_Odivision__ring(v3) | ? [v7] : (c_Rings_Oinverse__class_Odivide(v3, v7, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v2, v4, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v6, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v2, v4, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v1, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v5) = v6) | ~ (c_NthRoot_Osqrt(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_0_51_51, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_0_51_51, v2) = v3) | ~ (hAPP(v1, all_0_48_48) = v2) | ~ (hAPP(all_0_44_44, v0) = v1) | ? [v7] : ? [v8] : (c_Transcendental_Oarctan(v6) = v8 & c_Transcendental_Oarctan(v0) = v7 & hAPP(all_0_27_27, v8) = 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_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_35_35, 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_35_35, 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_35_35, 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_35_35, 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_Rings_Olinordered__semidom(v2) | c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ? [v7] : ((c_Groups_Ozero__class_Ozero(v2) = v7 & ~ c_Orderings_Oord__class_Oless__eq(v2, v7, v1)) | (c_Groups_Oone__class_Oone(v2) = v7 & ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v7)))) & ! [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_Olinordered__semidom(v2) | ? [v7] : ((c_Groups_Ozero__class_Ozero(v2) = v7 & ~ c_Orderings_Oord__class_Oless(v2, v7, v1)) | (c_Groups_Oone__class_Oone(v2) = v7 & c_Orderings_Oord__class_Oless(v2, v6, v7)) | (c_Groups_Oone__class_Oone(v2) = v7 & ~ c_Orderings_Oord__class_Oless(v2, v1, 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, v0) = v8 & hAPP(v7, v8) = v6 & hAPP(v3, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v3) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v2, v4) = v5) | ~ class_Rings_Ocomm__ring__1(v1) | c_Groups_Ouminus__class_Ouminus(v1, v0) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v3, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v2, v4) = v5) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Groups_Oplus__class_Oplus(v1, v0, v0) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1) | ? [v7] : ? [v8] : (c_Power_Opower__class_Opower(v1) = v7 & hAPP(v8, all_0_29_29) = v6 & hAPP(v7, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (c_RealVector_Onorm__class_Onorm(v2, v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_40_40, v3) = v4) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Groups_Otimes__class_Otimes(v2) = v7 & c_RealVector_Onorm__class_Onorm(v2, v9) = v10 & hAPP(v8, v0) = v9 & hAPP(v7, v1) = v8 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (c_RealVector_Onorm__class_Onorm(v2, v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_40_40, v3) = v4) | ~ class_RealVector_Oreal__normed__div__algebra(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v2) = v7 & c_RealVector_Onorm__class_Onorm(v2, v9) = v6 & hAPP(v8, v0) = v9 & hAPP(v7, v1) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Complex_Ocomplex_OComplex(v4, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v0) = v5) | ? [v7] : ? [v8] : (c_Complex_Ocomplex_OComplex(v3, v2) = v7 & c_Complex_Ocomplex_OComplex(v1, v0) = v8 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v7, v8) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v3) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v2, v3) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Int_Onumber__ring(v1) | c_Groups_Oone__class_Oone(v1) = v6) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ozero__neq__one(v2) | ~ class_Rings_Ono__zero__divisors(v2) | ~ class_Rings_Omult__zero(v2) | ~ class_Power_Opower(v2) | ? [v7] : (c_Groups_Ozero__class_Ozero(v2) = v7 & ( ~ (v7 = v6) | (v6 = v1 & ~ (v5 = all_0_36_36))) & ( ~ (v7 = v1) | v6 = v1 | v5 = all_0_36_36))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v5, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v4) | ~ c_Orderings_Oord__class_Oless(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v5, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | c_Orderings_Oord__class_Oless(v4, v5, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v2, v0) = v6) | ~ class_Groups_Oordered__ab__semigroup__add(v4) | ~ c_Orderings_Oord__class_Oless__eq(v4, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v5, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_39_39, 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_35_35, v2) = v3) | ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v7 & hAPP(v3, v7) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | ~ (hAPP(all_0_40_40, v0) = v4) | ? [v7] : (c_NthRoot_Osqrt(v6) = v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | ~ (hAPP(all_0_40_40, v0) = v4) | ? [v7] : (c_NthRoot_Osqrt(v6) = v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v4) | ~ (hAPP(all_0_44_44, v0) = v2) | ? [v7] : (c_NthRoot_Osqrt(v6) = v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v7] : ? [v8] : (c_NthRoot_Osqrt(v6) = v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8 & c_Complex_Ocomplex_OComplex(v1, v0) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v7] : (c_NthRoot_Osqrt(v6) = v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v7] : (c_NthRoot_Osqrt(v6) = v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v7))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v9, v8) = v6 & hAPP(v7, v8) = v9 & hAPP(v4, v0) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Rings_Olinordered__idom(v2) | ? [v7] : (c_Groups_Ozero__class_Ozero(v2) = v7 & c_Orderings_Oord__class_Oless__eq(v2, v7, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Rings_Olinordered__idom(v2) | ? [v7] : (c_Groups_Ozero__class_Ozero(v2) = v7 & (v7 = v1 | ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Groups_Omonoid__mult(v2) | ? [v7] : ? [v8] : (hAPP(v8, all_0_48_48) = v6 & hAPP(v4, v0) = v7 & hAPP(v3, v7) = v8)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_40_40, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_40_40, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_40_40, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_40_40, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, 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_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, 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_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v0) = v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_35_35, v4) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_35_35, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_37_37, v4) = v5) | ~ (hAPP(all_0_37_37, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_35_35, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_39_39, v4) = v5) | ~ (hAPP(all_0_39_39, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_39_39, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_40_40, v4) = v5) | ~ (hAPP(all_0_40_40, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_40_40, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v1) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, 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] : (v5 = v4 | ~ (c_Nat_OSuc(v1) = v2) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_35_35, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Groups_Ozero__class_Ozero(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 = v4 | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_RealVector_Oreal__normed__algebra(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Omult__zero(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | v1 = all_0_41_41 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v4) | ~ (hAPP(all_0_40_40, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | v0 = all_0_36_36 | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Groups_Ozero__class_Ozero(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 = v3 | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_RealVector_Oreal__normed__algebra(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Omult__zero(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 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_35_35, v0) = v4) | ~ (hAPP(all_0_35_35, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (hAPP(v4, all_0_36_36) = v5) | ~ (hAPP(v2, all_0_36_36) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ (hAPP(all_0_35_35, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v2 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v4) = v5) | ~ (hAPP(all_0_27_27, v2) = v3) | ~ (hAPP(all_0_27_27, v0) = v4) | ? [v6] : ( ~ (v6 = v3) & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v6)) & ! [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_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_50_50) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Int_Onumber__ring(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_50_50) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Int_Onumber__ring(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Ocomm__monoid__mult(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Ocomm__monoid__mult(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(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 = all_0_36_36 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v0 | v1 = all_0_36_36 | ~ (hAPP(v5, v1) = v4) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = all_0_41_41 | v1 = v0 | ~ (hAPP(v5, v2) = v4) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_40_40, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_35_35, v3) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : ? [v7] : (( ~ (v7 = v6) & hAPP(v5, all_0_48_48) = v7 & hAPP(v4, all_0_48_48) = v6) | (c_Groups_Ozero__class_Ozero(v2) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1)) | (c_Groups_Ozero__class_Ozero(v2) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = all_0_41_41) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | ~ (hAPP(all_0_40_40, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = all_0_41_41) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v0 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = all_0_41_41) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | ~ (hAPP(all_0_40_40, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v0 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = all_0_41_41) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v5) | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v4, v5) | ? [v6] : (c_Groups_Ozero__class_Ozero(v3) = v6 & ~ c_Orderings_Oord__class_Oless(v3, v0, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v5) | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | ? [v6] : (c_Groups_Ozero__class_Ozero(v3) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v4) | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v4, v5) | ? [v6] : (c_Groups_Ozero__class_Ozero(v3) = v6 & ~ c_Orderings_Oord__class_Oless(v3, v6, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v4) | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | ? [v6] : (c_Groups_Ozero__class_Ozero(v3) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v0))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v4) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Rings_Odivision__ring(v2) | ? [v6] : ((v6 = v5 & c_Rings_Oinverse__class_Odivide(v2, v0, v1) = v5) | (v6 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v4) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Fields_Ofield__inverse__zero(v2) | c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v4) = v5) | ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v4) | ~ (c_RealVector_Onorm__class_Onorm(v2, v0) = v3) | ~ class_RealVector_Oreal__normed__field(v2) | ? [v6] : ? [v7] : ((v7 = v5 & c_Rings_Oinverse__class_Odivide(v2, v0, v1) = v6 & c_RealVector_Onorm__class_Onorm(v2, v6) = v5) | (v6 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v4) = v5) | ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (c_RealVector_Onorm__class_Onorm(v2, v0) = v4) | ~ class_RealVector_Oreal__normed__field(v2) | ~ class_Fields_Ofield__inverse__zero(v2) | ? [v6] : (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v6 & c_RealVector_Onorm__class_Onorm(v2, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v4) = v5) | ~ (hAPP(v2, v1) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v1) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower_Opower(v3, v2, v1) = v4) | ~ (hAPP(v4, v0) = v5) | hAPP(v5, all_0_36_36) = v2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Complex_Ocomplex_Ocomplex__case(v3, v2, v4) = v5) | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v4) | ? [v6] : (hAPP(v6, v0) = v5 & hAPP(v2, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Complex_Ocomplex_Ocomplex__rec(v3, v2, v4) = v5) | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v4) | ? [v6] : (hAPP(v6, v0) = v5 & hAPP(v2, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_40_40, v2) = v3) | ? [v6] : ? [v7] : (c_NthRoot_Osqrt(v7) = v5 & hAPP(v6, v0) = v7 & hAPP(all_0_40_40, v1) = v6)) & ! [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) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ class_Groups_Oab__group__add(v2) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(v2, v6) = v5 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v3) = v4) | ~ class_Int_Onumber__ring(v2) | ? [v6] : ? [v7] : (( ~ c_Int_Oiszero(v2, v5) | (v7 = v6 & c_Int_Onumber__class_Onumber__of(v2, v1) = v6 & c_Int_Onumber__class_Onumber__of(v2, v0) = v6)) & (c_Int_Oiszero(v2, v5) | ( ~ (v7 = v6) & c_Int_Onumber__class_Onumber__of(v2, v1) = v6 & c_Int_Onumber__class_Onumber__of(v2, v0) = v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_0_36_36) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, all_0_36_36) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1) | c_Groups_Oone__class_Oone(v1) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v1, v4, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v3) = v4) | ~ class_Int_Onumber__ring(v1) | ? [v6] : (c_Int_OBit0(v0) = v6 & c_Int_Onumber__class_Onumber__of(v1, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Olinordered__semiring__strict(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless(v2, v0, v6) | c_Orderings_Oord__class_Oless(v2, v5, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Oordered__cancel__semiring(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6) | c_Orderings_Oord__class_Oless__eq(v2, v5, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_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, v1) = v5) | ~ (hAPP(v3, v0) = v4) | ~ class_Rings_Olinordered__idom(v2) | c_Orderings_Oord__class_Oless__eq(v2, v5, v1) | ? [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_Groups_Oone__class_Oone(v2) = 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__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_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_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_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_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__idom(v2) | c_Orderings_Oord__class_Oless__eq(v2, v5, v1) | ? [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_Groups_Oone__class_Oone(v2) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v3, v2) = v4) | ~ class_Groups_Omonoid__mult(v1) | ~ class_Int_Onumber(v1) | ? [v6] : ? [v7] : (c_Power_Opower__class_Opower(v1) = v6 & hAPP(v7, all_0_48_48) = v5 & hAPP(v6, v2) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_49_49) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Int_Onumber__ring(v1) | c_Groups_Oplus__class_Oplus(v1, v0, v0) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_49_49) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Int_Onumber__ring(v1) | c_Groups_Oplus__class_Oplus(v1, v0, v0) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Int_Onumber__ring(v1) | c_Groups_Ouminus__class_Ouminus(v1, v0) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Int_Onumber__ring(v1) | c_Groups_Ouminus__class_Ouminus(v1, v0) = v5) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (c_RealVector_Onorm__class_Onorm(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v4) = v5) | ~ class_RealVector_Oreal__normed__vector(v2) | ? [v6] : ? [v7] : (c_RealVector_Onorm__class_Onorm(v2, v6) = v7 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_44_44, v3) = v4) | ~ class_RealVector_Oreal__normed__algebra__1(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_RealVector_Onorm__class_Onorm(v2, v8) = v9 & c_Power_Opower__class_Opower(v2) = v6 & hAPP(v7, v0) = v8 & hAPP(v6, v1) = v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_44_44, v3) = v4) | ~ class_RealVector_Oreal__normed__div__algebra(v2) | ? [v6] : ? [v7] : ? [v8] : (c_RealVector_Onorm__class_Onorm(v2, v8) = v5 & c_Power_Opower__class_Opower(v2) = v6 & hAPP(v7, v0) = v8 & hAPP(v6, v1) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3) | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v1, v0) = v2) | ? [v6] : (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Int_OBit0(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_39_39, v1) = v2) | ? [v6] : ? [v7] : (c_Int_OBit1(v1) = v6 & hAPP(v7, v0) = v5 & hAPP(all_0_39_39, v6) = v7)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ class_Int_Onumber__ring(v2) | ? [v6] : (c_Int_Onumber__class_Onumber__of(v2, v6) = v5 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v1, v4, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Int_Onumber__ring(v1) | ? [v6] : (c_Int_OBit1(v0) = v6 & c_Int_Onumber__class_Onumber__of(v1, v6) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_39_39, v2) = v3) | ? [v6] : ? [v7] : (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v7) = v5 & hAPP(v6, v0) = v7 & hAPP(all_0_39_39, v1) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls) | ? [v6] : ? [v7] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v7) = v5 & hAPP(v6, v0) = v7 & hAPP(all_0_39_39, v1) = v6)) & ! [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_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, 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, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | c_Orderings_Oord__class_Oless__eq(v3, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v2, v0) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | c_Orderings_Oord__class_Oless__eq(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v0) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v4) = v5) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v6] : (c_Groups_Oplus__class_Oplus(v3, v2, v6) = v5 & c_Groups_Oplus__class_Oplus(v3, v1, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v5) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v5) | ~ class_Groups_Oordered__ab__semigroup__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v0, v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ class_Groups_Oordered__cancel__ab__semigroup__add(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v0, v2) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ class_Groups_Oordered__ab__semigroup__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_39_39, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, c_Int_OPls) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_39_39, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v5) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, 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_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_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Oone__class_Oone(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | c_Orderings_Oord__class_Oless(v2, v6, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | c_Orderings_Oord__class_Oless(v2, v6, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1) | c_Orderings_Oord__class_Oless__eq(v2, v6, v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_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_Ozero__neq__one(v2) | ~ class_Rings_Ono__zero__divisors(v2) | ~ class_Rings_Omult__zero(v2) | ~ class_Power_Opower(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v5) | (v5 = v1 & ~ (v0 = all_0_36_36))) & ( ~ (v6 = v1) | v5 = v1 | v0 = all_0_36_36))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Oring__1__no__zero__divisors(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v5) | v5 = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ class_Rings_Olinordered__semidom(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | ? [v6] : ? [v7] : ((c_Groups_Ozero__class_Ozero(v2) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) | (hAPP(v5, all_0_48_48) = v7 & hAPP(v4, all_0_48_48) = v6 & ~ c_Orderings_Oord__class_Oless(v2, v6, v7)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ class_Rings_Olinordered__semidom(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ? [v6] : ? [v7] : ((c_Groups_Ozero__class_Ozero(v2) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) | (hAPP(v5, all_0_48_48) = v7 & hAPP(v4, all_0_48_48) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v7)))) & ! [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] : ((v1 = v0 | (v8 = v1 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v1) | ( ~ (v7 = v6) & hAPP(v5, all_0_48_48) = v7 & hAPP(v4, all_0_48_48) = v6)) & ((v7 = v6 & hAPP(v5, all_0_48_48) = v6 & hAPP(v4, all_0_48_48) = v6) | ( ~ (v8 = v1) & ~ (v1 = v0) & c_Groups_Ouminus__class_Ouminus(v2, v0) = v8)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | ~ (hAPP(all_0_40_40, v0) = v4) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_35_35, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_35_35, 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, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_39_39, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_35_35, 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_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_35_35, 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_35_35, v2) = v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2) | 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_40_40, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_40_40, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_40_40, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | v1 = all_0_41_41 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_40_40, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls)) & ! [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 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v3) = v4) | ~ (hAPP(v2, all_0_41_41) = v3) | ~ (hAPP(v0, all_0_41_41) = v1) | ~ (hAPP(all_0_40_40, all_0_41_41) = v2) | ~ (hAPP(all_0_40_40, all_0_41_41) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v3) = v4) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(v0, all_0_48_48) = v1) | ~ (hAPP(all_0_44_44, all_0_41_41) = v2) | ~ (hAPP(all_0_44_44, all_0_41_41) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (c_Complex_Ocomplex_OComplex(v3, v2) = v4) | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = all_0_36_36 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ (hAPP(v2, v3) = v4) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v4) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1)) & ! [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_Complex_Ocomplex_OComplex(v3, v2) = v4) | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v4) | ~ class_Groups_Ocancel__semigroup__add(v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = all_0_36_36 | v1 = v0 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_35_35, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = all_0_41_41 | v1 = v0 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_40_40, v2) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v1) | ~ (c_Rings_Oinverse__class_Odivide(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_Complex_Ocomplex_Ocomplex__case(v4, v3, v2) = v1) | ~ (c_Complex_Ocomplex_Ocomplex__case(v4, v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Complex_Ocomplex_Ocomplex__rec(v4, v3, v2) = v1) | ~ (c_Complex_Ocomplex_Ocomplex__rec(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 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v0) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ class_RealVector_Oreal__normed__field(v2) | ? [v5] : (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v0) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ class_Rings_Odivision__ring(v2) | ? [v5] : (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Fields_Ofield__inverse__zero(v2) | ? [v5] : (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v0, v3) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ class_Rings_Odivision__ring(v2) | ? [v5] : ? [v6] : ((v6 = v4 & c_Rings_Oinverse__class_Odivide(v2, v0, v1) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v5) = v4) | (v5 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v2, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Fields_Ofield__inverse__zero(v1) | ~ class_Int_Onumber__ring(v1) | ? [v5] : (c_Rings_Oinverse__class_Odivide(v1, v5, v0) = v4 & c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v3) = v4) | ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v3) | ? [v5] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v5 & c_NthRoot_Osqrt(v5) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v3) = v2) | ~ (hAPP(all_0_27_27, v2) = v4) | ~ (hAPP(all_0_27_27, v0) = v3) | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v4) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ class_Orderings_Oord(v3) | c_Orderings_Oord__class_Oless__eq(v4, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | c_Orderings_Oord__class_Oless(v4, v1, v0) | c_Orderings_Oord__class_Oless__eq(v4, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_44_44, v2) = v3) | ? [v5] : ? [v6] : (c_NthRoot_Osqrt(v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_44_44, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(v2, v1, v3) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v0, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v3) | c_Orderings_Oord__class_Oless__eq(v2, v0, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Oordered__ab__group__add(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4) | c_Orderings_Oord__class_Oless__eq(v2, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v3, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v3, v0) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v4, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_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(v1, v0) = v3) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Oring__1(v1) | ? [v5] : ? [v6] : (hAPP(v6, all_0_48_48) = v5 & hAPP(v4, all_0_48_48) = v5 & hAPP(v2, v0) = v6)) & ! [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_39_39, v2) = v3) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_39_39, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_50_50, v2) = v3) | ~ class_Int_Onumber__ring(v1) | ? [v5] : ? [v6] : (( ~ c_Int_Oiszero(v1, v4) | (v6 = v5 & c_Int_Onumber__class_Onumber__of(v1, v0) = v5 & c_Groups_Oone__class_Oone(v1) = v5)) & (c_Int_Oiszero(v1, v4) | ( ~ (v6 = v5) & c_Int_Onumber__class_Onumber__of(v1, v0) = v6 & c_Groups_Oone__class_Oone(v1) = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, v2) = v3) | ~ class_Int_Onumber__ring(v1) | ? [v5] : ? [v6] : (( ~ c_Int_Oiszero(v1, v4) | (v6 = v5 & c_Groups_Ozero__class_Ozero(v1) = v5 & c_Int_Onumber__class_Onumber__of(v1, v0) = v5)) & (c_Int_Oiszero(v1, v4) | ( ~ (v6 = v5) & c_Groups_Ozero__class_Ozero(v1) = v5 & c_Int_Onumber__class_Onumber__of(v1, v0) = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v3) | ~ (c_Complex_Ocomplex_OComplex(v2, v3) = v4) | ? [v5] : (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v5) = v4 & c_Complex_Ocomplex_OComplex(v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v2) | ~ (c_Power_Opower__class_Opower(v0) = v1) | ~ (hAPP(v3, all_0_36_36) = v4) | ~ (hAPP(v1, v2) = v3) | ~ class_Rings_Osemiring__0(v0) | ~ class_Power_Opower(v0) | c_Groups_Oone__class_Oone(v0) = 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__eq(v1, v5, v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Olinordered__ring(v1) | ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v5 & ~ c_Orderings_Oord__class_Oless(v1, v4, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1) | ? [v5] : ? [v6] : (c_Power_Opower__class_Opower(v1) = v5 & hAPP(v6, all_0_48_48) = v4 & hAPP(v5, v0) = v6)) & ! [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_Oone__class_Oone(v1) = v5 & ( ~ (v5 = v4) | v4 = v0 | (v6 = v0 & c_Groups_Ouminus__class_Ouminus(v1, v4) = v0)) & (v5 = v4 | ( ~ (v6 = v0) & ~ (v5 = v0) & c_Groups_Ouminus__class_Ouminus(v1, v5) = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1) | ? [v5] : ? [v6] : (c_Power_Opower__class_Opower(v1) = v5 & hAPP(v6, all_0_48_48) = v4 & hAPP(v5, v0) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit0(v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ? [v5] : (c_Int_OBit0(v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ? [v5] : (c_Int_OBit1(v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_39_39, v2) = v3) | ? [v5] : ? [v6] : (c_Int_OBit0(v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_39_39, v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_OBit0(v0) = v3) | ~ (c_Int_OBit1(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ? [v5] : (c_Int_OBit1(v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v4, v3) | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | ~ class_Int_Onumber(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | ~ class_Rings_Olinordered__idom(v2) | ~ class_Int_Onumber__ring(v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ class_Rings_Olinordered__idom(v2) | ~ class_Int_Onumber__ring(v2) | c_Orderings_Oord__class_Oless(v2, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ class_Orderings_Olinorder(v2) | ~ class_Int_Onumber(v2) | c_Orderings_Oord__class_Oless(v2, v4, v3) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | ~ class_Rings_Olinordered__idom(v2) | ~ class_Int_Onumber__ring(v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | ~ class_Rings_Olinordered__idom(v2) | ~ class_Int_Onumber__ring(v2) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ? [v5] : (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | ? [v5] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_15_15, v1) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Groups_Oordered__comm__monoid__add(v3) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless__eq(v3, v5, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless(v3, v5, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Groups_Oordered__comm__monoid__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless(v3, v5, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ class_Groups_Oordered__comm__monoid__add(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless__eq(v3, v5, v2))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, 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, 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_39_39, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_47_47, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_39_39, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_47_47)) & ! [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, 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_35_35, 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_35_35, v1) = v2) | ? [v5] : ? [v6] : (c_Nat_OSuc(v1) = v5 & hAPP(v6, v0) = v4 & hAPP(all_0_35_35, v5) = v6)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v1) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Rings_Oinverse__class_Odivide(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_RealVector_Oreal__normed__field(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Rings_Oinverse__class_Odivide(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Odivision__ring(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Odivision__ring__inverse__zero(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Ogroup__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v3) | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Complex_Ocomplex_OComplex(v1, all_0_41_41) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v0) = v3) | ? [v4] : ( ~ (v4 = v1) & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Int_Oring__char__0(v1) | ~ class_Int_Onumber__ring(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_22_22, v1) = v2) | ~ (hAPP(all_0_22_22, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (c_NthRoot_Osqrt(v0) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1) | ? [v4] : ( ~ (v4 = v0) & hAPP(v2, all_0_48_48) = v4)) & ! [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_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_50_50) = v2) | ~ class_Fields_Ofield(v1) | ~ class_Int_Onumber__ring(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Rings_Odivision__ring(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_Ozero__class_Ozero(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ class_Groups_Ocomm__monoid__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ class_Groups_Omonoid__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ class_Groups_Ocomm__monoid__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ class_Groups_Omonoid__add(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ class_Rings_Ocomm__semiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OPls) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ class_Int_Onumber__ring(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OPls) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ class_Int_Onumber__ring(v1)) & ! [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_Oabs__class_Oabs(v3, v2) = v1) | ~ (c_Groups_Oabs__class_Oabs(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_Nat_Osize__class_Osize(v3, v2) = v1) | ~ (c_Nat_Osize__class_Osize(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Groups_Ogroup__add(v2)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Complex_Ocomplex_OComplex(v3, v2) = v1) | ~ (c_Complex_Ocomplex_OComplex(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v1) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ class_Int_Oring__char__0(v2) | ~ class_Int_Onumber__ring(v2)) & ! [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] : (v1 = all_0_41_41 | ~ (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v0) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_36_36 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_36_36 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_37_37, v1) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Transcendental_Oarctan(v1) = v2) | ~ (c_Transcendental_Oarctan(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Transcendental_Oarctan(v1) = v2) | ~ (c_Transcendental_Oarctan(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(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_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v0) | ~ c_Orderings_Oord__class_Oless(v2, v1, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(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__eq(v2, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(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, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(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__eq(v2, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v3) | (c_Orderings_Oord__class_Oless(v2, v4, v1) & c_Orderings_Oord__class_Oless(v2, v4, v0)) | (c_Orderings_Oord__class_Oless(v2, v1, v4) & c_Orderings_Oord__class_Oless(v2, v0, v4))) & (c_Orderings_Oord__class_Oless(v2, v4, v3) | (( ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless(v2, v4, v0)) & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v4) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | (c_Orderings_Oord__class_Oless(v2, v4, v1) & c_Orderings_Oord__class_Oless(v2, v0, v4)) | (c_Orderings_Oord__class_Oless(v2, v4, v0) & c_Orderings_Oord__class_Oless(v2, v1, v4))) & (c_Orderings_Oord__class_Oless(v2, v3, v4) | (( ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4)) & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v0) | ~ c_Orderings_Oord__class_Oless(v2, v1, v4)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v3) | (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, v1, v4) & c_Orderings_Oord__class_Oless__eq(v2, v0, v4))) & (c_Orderings_Oord__class_Oless__eq(v2, v4, v3) | (( ~ 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, v1, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(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, v4, v1) & c_Orderings_Oord__class_Oless__eq(v2, v0, v4)) | (c_Orderings_Oord__class_Oless__eq(v2, v4, v0) & c_Orderings_Oord__class_Oless__eq(v2, v1, v4))) & (c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | (( ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v4)))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v0, v1) = v3) | ~ class_Rings_Odivision__ring(v2) | ? [v4] : ((v4 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1) | (( ~ (v1 = v0) | (v4 = v3 & c_Groups_Oone__class_Oone(v2) = v3)) & (v1 = v0 | ( ~ (v4 = v3) & c_Groups_Oone__class_Oone(v2) = v4))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_49_49) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ~ class_Int_Onumber__ring(v1) | ? [v4] : (c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ c_Orderings_Oord__class_Oless(v1, v4, v3) | c_Orderings_Oord__class_Oless(v1, v4, v0)) & ( ~ c_Orderings_Oord__class_Oless(v1, v4, v0) | c_Orderings_Oord__class_Oless(v1, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_49_49) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ~ class_Int_Onumber__ring(v1) | ? [v4] : (c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ c_Orderings_Oord__class_Oless(v1, v4, v0) | c_Orderings_Oord__class_Oless(v1, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v2) | ~ class_Fields_Ofield__inverse__zero(v1) | ~ class_Int_Onumber__ring(v1) | c_Groups_Ouminus__class_Ouminus(v1, v0) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OPls) = v2) | ~ class_Fields_Ofield__inverse__zero(v1) | ~ class_Int_Onumber__ring(v1) | c_Groups_Ozero__class_Ozero(v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v0, v1, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v0, all_0_49_49) = v2) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Fields_Olinordered__field__inverse__zero(v0) | ~ class_Int_Onumber__ring(v0) | ? [v4] : (c_Groups_Ozero__class_Ozero(v0) = v4 & c_Orderings_Oord__class_Oless(v0, v4, v3))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower_Opower(v0, v1, v2) = v3) | ~ (c_Groups_Otimes__class_Otimes(v0) = v2) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ 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_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ class_RealVector_Oreal__normed__vector(v1) | c_RealVector_Onorm__class_Onorm(v1, v0) = 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, 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, v0, v2) = v3) | ~ class_Groups_Ogroup__add(v1) | c_Groups_Ozero__class_Ozero(v1) = v3) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ class_Int_Onumber__ring(v1) | ? [v4] : (c_Groups_Ouminus__class_Ouminus(v1, v4) = v3 & c_Int_Onumber__class_Onumber__of(v1, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v2) | ~ (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ? [v4] : ? [v5] : (c_Complex_Ocomplex_OComplex(v1, v0) = v4 & hAPP(v5, c_Complex_Oii) = v3 & hAPP(all_0_8_8, v4) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v2) | ~ (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ? [v4] : (c_Complex_Ocomplex_OComplex(v1, v0) = v4 & hAPP(all_0_7_7, v4) = v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v2) | ~ (c_Power_Opower__class_Opower(v0) = v1) | ~ (hAPP(v1, v2) = v3) | ~ class_Rings_Osemiring__1(v0) | hAPP(v3, all_0_48_48) = v2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_RealVector_Oreal__normed__algebra__1(v1) | ~ class_Int_Onumber__ring(v1) | ? [v4] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v0) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v0) = v3) | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit0(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit0(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit0(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit0(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v0) = v3) | ~ (c_Int_OBit1(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v0) = v3) | ~ (c_Int_OBit1(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v0) = v3) | ~ (c_Int_OBit1(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v0) = v3) | ~ (c_Int_OBit1(v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v0) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ class_Int_Oring__char__0(v1) | ~ class_Int_Onumber__ring(v1) | ? [v4] : (( ~ c_Int_Oiszero(v1, v3) | (c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & c_Int_Oiszero(v1, v4))) & (c_Int_Oiszero(v1, v3) | (c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & ~ c_Int_Oiszero(v1, v4))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit1(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit1(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit1(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit1(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit1(v0) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ c_Int_Oiszero(v1, v3) | ~ class_Int_Oring__char__0(v1) | ~ class_Int_Onumber__ring(v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_20_20) = v2) | ~ class_Int_Onumber__ring(v1) | ? [v4] : ? [v5] : (( ~ c_Int_Oiszero(v1, v3) | (v5 = v4 & c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & c_Groups_Oone__class_Oone(v1) = v4)) & (c_Int_Oiszero(v1, v3) | ( ~ (v5 = v4) & c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & c_Groups_Oone__class_Oone(v1) = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_50_50) = v2) | ~ class_Int_Onumber__ring(v1) | ? [v4] : ? [v5] : (c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & c_Groups_Oplus__class_Oplus(v1, v4, v5) = v3 & c_Groups_Oone__class_Oone(v1) = v5)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, c_Int_OPls) = v2) | ~ class_Int_Onumber__ring(v1) | ? [v4] : ? [v5] : (( ~ c_Int_Oiszero(v1, v3) | (v5 = v4 & c_Groups_Ozero__class_Ozero(v1) = v4 & c_Int_Onumber__class_Onumber__of(v1, v0) = v4)) & (c_Int_Oiszero(v1, v3) | ( ~ (v5 = v4) & c_Groups_Ozero__class_Ozero(v1) = v5 & c_Int_Onumber__class_Onumber__of(v1, v0) = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_50_50, v0) = v2) | ~ class_Int_Onumber__ring(v1) | ? [v4] : ? [v5] : (c_Int_Onumber__class_Onumber__of(v1, v0) = v5 & c_Groups_Oplus__class_Oplus(v1, v4, v5) = v3 & c_Groups_Oone__class_Oone(v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_0_36_36) | ~ (hAPP(v2, all_0_36_36) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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(v2, v4, v0) | c_Orderings_Oord__class_Oless(v2, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | c_Orderings_Oord__class_Oless(v2, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | c_Orderings_Oord__class_Oless(v2, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v4) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | c_Orderings_Oord__class_Oless__eq(v2, v4, v3)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | (( ~ (v4 = v3) | (v3 = v0 & v1 = v0)) & ( ~ (v4 = v0) | ~ (v1 = v0) | v3 = v0))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Oordered__comm__monoid__add(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : ? [v5] : (((v5 = v3 & c_Groups_Ozero__class_Ozero(v2) = v3) | ( ~ (v4 = v1) & c_Groups_Ouminus__class_Ouminus(v2, v0) = v4)) & ((v4 = v1 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v1) | ( ~ (v5 = v3) & c_Groups_Ozero__class_Ozero(v2) = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : ? [v5] : (((v5 = v0 & c_Groups_Ouminus__class_Ouminus(v2, v1) = v0) | ( ~ (v4 = v3) & c_Groups_Ozero__class_Ozero(v2) = v4)) & ((v4 = v3 & c_Groups_Ozero__class_Ozero(v2) = v3) | ( ~ (v5 = v0) & c_Groups_Ouminus__class_Ouminus(v2, v1) = v5)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : ((v4 = v0 & c_Groups_Ouminus__class_Ouminus(v2, v1) = v0) | ( ~ (v4 = v3) & c_Groups_Ozero__class_Ozero(v2) = v4))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v2) | ? [v4] : (( ~ (v3 = v1) | (v4 = v0 & c_Groups_Ozero__class_Ozero(v2) = v0)) & (v3 = v1 | ( ~ (v4 = v0) & c_Groups_Ozero__class_Ozero(v2) = v4)))) & ! [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(v1, v0, v2) = v3) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Rings_Olinordered__semidom(v1) | c_Orderings_Oord__class_Oless(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_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1) | hAPP(v3, all_0_46_46) = 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_36_36) = v4)) & ! [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_36_36) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Oring__1__no__zero__divisors(v1) | ? [v4] : ? [v5] : ? [v6] : (c_Groups_Oone__class_Oone(v1) = v5 & (v5 = v0 | (v6 = v0 & c_Groups_Ouminus__class_Ouminus(v1, v5) = v0) | ( ~ (v5 = v4) & hAPP(v3, all_0_48_48) = v4)) & ((v5 = v4 & hAPP(v3, all_0_48_48) = v4) | ( ~ (v6 = v0) & ~ (v5 = v0) & c_Groups_Ouminus__class_Ouminus(v1, v5) = v6)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Oring__1__no__zero__divisors(v1) | ? [v4] : ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v5 & ( ~ (v5 = v0) | (v4 = v0 & hAPP(v3, all_0_48_48) = v0)) & (v5 = v0 | ( ~ (v5 = v4) & hAPP(v3, all_0_48_48) = v4)))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Olinordered__idom(v1) | ? [v4] : ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v5 & hAPP(v3, all_0_48_48) = v4 & ~ c_Orderings_Oord__class_Oless(v1, v4, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Olinordered__idom(v1) | ? [v4] : ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v4 & hAPP(v3, all_0_48_48) = v5 & c_Orderings_Oord__class_Oless__eq(v1, v4, v5))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Olinordered__idom(v1) | ? [v4] : ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ (v4 = v0) | (hAPP(v3, all_0_48_48) = v5 & ~ c_Orderings_Oord__class_Oless(v1, v0, v5))) & (v4 = v0 | (hAPP(v3, all_0_48_48) = v5 & c_Orderings_Oord__class_Oless(v1, v4, v5))))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1) | hAPP(v3, all_0_46_46) = v0) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v0) = v1) | ~ (c_Groups_Oone__class_Oone(v0) = v2) | ~ (hAPP(v1, v2) = v3) | ~ class_Rings_Osemiring__1(v0) | hAPP(v3, all_0_48_48) = v2) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_35_35, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_35_35, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_35_35, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_35_35, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_39_39, v0) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_39_39, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_39_39, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_40_40, v1) = v4)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_37_37, v1) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v3) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_37_37, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_39_39, v1) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v3) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_39_39, v1) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_39_39, v1) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_39_39, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v1, v2) = v3) | ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_35_35, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v3) | ? [v4] : ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5 & hAPP(v3, all_0_48_48) = v6 & hAPP(v2, all_0_48_48) = v4 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6))) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Orderings_Opreorder(v3) | c_Orderings_Oord__class_Oless(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | ~ class_Orderings_Oorder(v3) | c_Orderings_Oord__class_Oless(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v2) | c_Orderings_Oord__class_Oless(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v2) | c_Orderings_Oord__class_Oless__eq(v3, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless__eq(v3, v2, v0)) & ? [v0] : ? [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ class_Orderings_Oord(v3) | c_Orderings_Oord__class_Oless__eq(v4, v1, v0) | ? [v5] : ? [v6] : ? [v7] : (hAPP(v1, v5) = v6 & hAPP(v0, v5) = v7 & ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v7))) & ? [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_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_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_NthRoot_Osqrt(v0) = v2) | ~ (c_NthRoot_Osqrt(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Groups_Ouminus__class_Ouminus(v0, v1) = v2) | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Groups_Ogroup__add(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Int_OBit0(v0) = v2) | ~ (c_Int_OBit0(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Int_OBit1(v0) = v2) | ~ (c_Int_OBit1(v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, all_0_28_28) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) = v2)) & ! [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_Int_Oiszero(v1, v0) | ~ class_Rings_Osemiring__1(v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_36_36 | ~ (hAPP(v1, all_0_36_36) = v2) | ~ (hAPP(all_0_35_35, v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_41_41 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_41_41 | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~ class_RealVector_Oreal__normed__vector(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ? [v3] : ( ~ (v3 = v0) & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3)) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_46_46 | ~ (hAPP(v1, all_0_36_36) = v2) | ~ (hAPP(all_0_15_15, v0) = v1)) & ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_51_51 | ~ (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_RealVector_Oreal__normed__algebra__1(v0)) & ! [v0] : ! [v1] : ! [v2] : (v2 = c_Int_OPls | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Transcendental_Oarctan(v2) = v1) | ~ (c_Transcendental_Oarctan(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v2) = v1) | ~ (c_Nat_OSuc(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Complex_Ocomplex_Ocomplex__size(v2) = v1) | ~ (c_Complex_Ocomplex_Ocomplex__size(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_NthRoot_Osqrt(v2) = v1) | ~ (c_NthRoot_Osqrt(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = all_0_41_41)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = v1) | ~ (c_Groups_Ozero__class_Ozero(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_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v2) = v1) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Int_OBit0(v2) = v1) | ~ (c_Int_OBit0(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit0(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Int_OBit1(v2) = v1) | ~ (c_Int_OBit1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Int_OBit1(v1) = v2) | ~ (c_Int_OBit1(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_47_47) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_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 | ~ class_Orderings_Oorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Oorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Oorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1) | c_Orderings_Oord__class_Oless(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_12_12 | v1 = all_0_47_47 | ~ (hAPP(v2, v0) = all_0_47_47) | ~ (hAPP(all_0_39_39, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_12_12 | v0 = all_0_47_47 | ~ (hAPP(v2, v0) = all_0_47_47) | ~ (hAPP(all_0_39_39, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_36_36 | v0 = all_0_36_36 | ~ (hAPP(v2, v0) = all_0_36_36) | ~ (hAPP(all_0_35_35, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_36_36 | v0 = all_0_46_46 | ~ (hAPP(v2, v0) = v1) | ~ (hAPP(all_0_35_35, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_36_36 | ~ (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] : (v1 = all_0_46_46 | v0 = all_0_36_36 | ~ (hAPP(v2, v0) = all_0_46_46) | ~ (hAPP(all_0_15_15, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_46_46 | ~ (hAPP(v2, v0) = all_0_46_46) | ~ (hAPP(all_0_35_35, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_47_47 | v0 = all_0_12_12 | ~ (hAPP(v2, v0) = all_0_47_47) | ~ (hAPP(all_0_39_39, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_47_47 | ~ (hAPP(v2, v0) = all_0_47_47) | ~ (hAPP(all_0_39_39, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1)) & ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_12_12 | v0 = all_0_47_47 | ~ (hAPP(v2, v0) = all_0_47_47) | ~ (hAPP(all_0_39_39, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_41_41 | ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_40_40, v0) = v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_46_46 | ~ (hAPP(v2, v0) = all_0_46_46) | ~ (hAPP(all_0_35_35, v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_47_47 | ~ (hAPP(v2, v0) = all_0_47_47) | ~ (hAPP(all_0_39_39, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v0) = v2) | ~ class_Rings_Odivision__ring__inverse__zero(v1) | ? [v3] : ? [v4] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ (v3 = v0) | v2 = v0) & (v3 = v0 | (v4 = v2 & c_Groups_Oone__class_Oone(v1) = v2)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v0) = v2) | ~ class_Rings_Odivision__ring(v1) | ? [v3] : ((v3 = v2 & c_Groups_Oone__class_Oone(v1) = v2) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_41_41) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_41_41) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_41_41) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_41_41) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_41_41) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_41_41) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Oorder(v1) | class_Orderings_Oorder(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Oord(v1) | class_Orderings_Oord(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Opreorder(v1) | class_Orderings_Opreorder(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_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_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_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (( ~ (v2 = v0) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0)) & (v2 = v0 | ( ~ (v3 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(v1, v2, v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & c_Orderings_Oord__class_Oless(v1, v3, v0))) & (c_Orderings_Oord__class_Oless(v1, v2, v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & ~ 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_Orderings_Oord__class_Oless__eq(v1, v2, v0) | (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_Groups_Ozero__class_Ozero(v1) = v3 & ~ 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_Orderings_Oord__class_Oless__eq(v1, v0, v2) | (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_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v3))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(v1, v0, v2) | (c_Groups_Ozero__class_Ozero(v1) = v3 & c_Orderings_Oord__class_Oless(v1, v0, v3))) & (c_Orderings_Oord__class_Oless(v1, v0, v2) | (c_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless(v1, v0, v3))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v0, v1) = v2) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Int_Onumber__ring(v0) | c_Int_Onumber__class_Onumber__of(v0, c_Int_OMin) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_0_41_41) | ~ class_RealVector_Oreal__normed__vector(v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ class_RealVector_Oreal__normed__vector(v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3] : (( ~ (v2 = all_0_41_41) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0)) & (v2 = all_0_41_41 | ( ~ (v3 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ( ~ (v3 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3)) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_0_41_41) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0)) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_0_41_41) | ( ~ (v3 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3)))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v2) | c_Nat_Osize__class_Osize(tc_Complex_Ocomplex, v2) = all_0_36_36) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v2) | c_Complex_Ocomplex_Ocomplex__size(v2) = all_0_36_36) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit1(v0) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_OBit0(v0) = v2) | ~ (c_Int_OBit1(v1) = v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_50_50) | (c_Groups_Oone__class_Oone(v1) = v3 & c_Orderings_Oord__class_Oless(v1, v2, v3))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_50_50) | (c_Groups_Oone__class_Oone(v1) = v3 & ~ c_Orderings_Oord__class_Oless(v1, v2, v3))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v1) = v3 & c_Orderings_Oord__class_Oless(v1, v2, v3))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless(v1, v2, v3))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_50_50, v0) | (c_Groups_Oone__class_Oone(v1) = v3 & c_Orderings_Oord__class_Oless(v1, v3, v2))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_50_50, v0) | (c_Groups_Oone__class_Oone(v1) = v3 & ~ c_Orderings_Oord__class_Oless(v1, v3, v2))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & c_Orderings_Oord__class_Oless(v1, v3, v2))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless(v1, v3, v2))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_50_50) | (c_Groups_Oone__class_Oone(v1) = v3 & c_Orderings_Oord__class_Oless__eq(v1, v2, v3))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_50_50) | (c_Groups_Oone__class_Oone(v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v3))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v1) = v3 & c_Orderings_Oord__class_Oless__eq(v1, v2, v3))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v3))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_50_50, v0) | (c_Groups_Oone__class_Oone(v1) = v3 & c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_50_50, v0) | (c_Groups_Oone__class_Oone(v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v2))))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & ~ 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 & ( ~ (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(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(v0, v1, v1) = v2) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v3] : (c_Groups_Ozero__class_Ozero(v0) = v3 & c_Orderings_Oord__class_Oless(v0, v3, v2))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_47_47, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_47_47, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_47_47, v0) = v1) | c_Int_OBit1(v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v2) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_0_47_47) = 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_47_47) = 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_47_47) = 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_47_47) = 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_47_47) = 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_36_36, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_36_36, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_36_36, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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] : (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_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v1) = v2) | ? [v3] : (c_Nat_OSuc(v2) = v3 & c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_0_41_41) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ? [v3] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_0_28_28) = v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ? [v3] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_0_28_28) = v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_0_41_41) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_0_41_41) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_0_41_41) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0))) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_35_35, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, all_0_36_36) = v2) | ~ (hAPP(all_0_15_15, v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, all_0_36_36) = v2) | ~ (hAPP(all_0_37_37, v0) = v1) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(all_0_16_16, v1) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | ? [v3] : ( ~ (v3 = v0) & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, all_0_47_47) = v3)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Oorder(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Olinorder(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Opreorder(v2)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Oorder(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Opreorder(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0)) & ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0)) & ? [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v2)) & ? [v0] : ! [v1] : ! [v2] : ( ~ (c_Nat_OSuc(v1) = v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, c_Int_OPls) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_36_36) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_36_36, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_21_21, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_23_23, v0) = v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_38_38, 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 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & ! [v0] : ! [v1] : (v1 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v0] : ! [v1] : (v1 = all_0_36_36 | v1 = all_0_46_46 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_46_46)) & ! [v0] : ! [v1] : (v1 = all_0_36_36 | v0 = all_0_36_36 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_46_46)) & ! [v0] : ! [v1] : (v1 = all_0_36_36 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls)) & ! [v0] : ! [v1] : (v1 = all_0_36_36 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_36_36)) & ! [v0] : ! [v1] : (v1 = all_0_36_36 | ~ (hAPP(all_0_22_22, v0) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_41_41 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = all_0_42_42)) & ! [v0] : ! [v1] : (v1 = all_0_41_41 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = c_Complex_Oii)) & ! [v0] : ! [v1] : (v1 = all_0_46_46 | v0 = all_0_46_46 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_46_46)) & ! [v0] : ! [v1] : (v1 = all_0_46_46 | ~ (hAPP(all_0_14_14, v0) = v1)) & ! [v0] : ! [v1] : (v1 = all_0_47_47 | ~ (hAPP(v0, all_0_12_12) = v1) | ~ (hAPP(all_0_39_39, all_0_12_12) = v0)) & ! [v0] : ! [v1] : (v1 = all_0_51_51 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = all_0_32_32)) & ! [v0] : ! [v1] : (v1 = c_Int_OPls | ~ (hAPP(all_0_33_33, v0) = v1)) & ! [v0] : ! [v1] : (v0 = all_0_36_36 | v0 = all_0_46_46 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_46_46)) & ! [v0] : ! [v1] : (v0 = all_0_36_36 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v1)) & ! [v0] : ! [v1] : (v0 = all_0_36_36 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_36_36)) & ! [v0] : ! [v1] : (v0 = all_0_41_41 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = all_0_32_32)) & ! [v0] : ! [v1] : (v0 = all_0_41_41 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = all_0_42_42)) & ! [v0] : ! [v1] : (v0 = all_0_51_51 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = c_Complex_Oii)) & ! [v0] : ! [v1] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, all_0_18_18) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0)) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v1) = v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, 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_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_36_36, v1)) & ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v1)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_0_41_41) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_0_41_41)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_0_51_51) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_0_51_51)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_0_41_41) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_0_41_41)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_0_51_51) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_0_51_51)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v0)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v1)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v0) | ? [v2] : ? [v3] : (hAPP(v2, all_0_48_48) = v3 & hAPP(all_0_44_44, v1) = v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v3))) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_51_51, v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_51_51, v0)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_51_51, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_51_51, v1)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_41_41) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_41_41)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_51_51) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_51_51)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_41_41) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_41_41)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_51_51) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_51_51)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0) | ? [v2] : (hAPP(v2, all_0_48_48) = v0 & hAPP(all_0_44_44, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_51_51, v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_51_51, v0)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_51_51, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_51_51, v1)) & ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0) | ? [v2] : ? [v3] : ( ~ (v3 = v0) & hAPP(v2, all_0_48_48) = v3 & hAPP(all_0_44_44, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1)) & ! [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_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ? [v2] : ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v2) = v3 & c_Int_OBit0(v1) = v3 & c_Int_OBit0(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ? [v2] : ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v2) = v3 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v3 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1) | ? [v2] : ? [v3] : (c_Transcendental_Oarctan(v1) = v2 & c_Transcendental_Oarctan(v0) = v3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1) | ? [v2] : ? [v3] : (c_NthRoot_Osqrt(v1) = v2 & c_NthRoot_Osqrt(v0) = v3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v1) = v0) | ~ class_Rings_Osemiring__1(v1) | c_Int_Oiszero(v1, v0)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Osemiring__1(v0) | c_Int_Oiszero(v0, v1)) & ! [v0] : ! [v1] : ( ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1) | ? [v2] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1))) & ! [v0] : ! [v1] : ( ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v0) = v1) | ? [v2] : (hAPP(v2, all_0_48_48) = v0 & hAPP(all_0_45_45, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OMin)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v0)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v1)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v1)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OMin)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OMin)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OMin)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v0)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OMin)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OMin)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v0)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v1)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OMin)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OMin)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v0)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v1)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1)) & ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1)) & ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_0_49_49) = v1) | ~ class_Int_Onumber__ring(v0) | ? [v2] : (c_Groups_Oplus__class_Oplus(v0, v2, v2) = v1 & c_Groups_Oone__class_Oone(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_0_50_50) = v1) | ~ c_Int_Oiszero(v0, v1) | ~ class_Int_Onumber__ring(v0)) & ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_0_50_50) = v1) | ~ class_Int_Onumber__ring(v0) | c_Groups_Oone__class_Oone(v0) = v1) & ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, c_Int_OMin) = v1) | ~ c_Int_Oiszero(v0, v1) | ~ class_Int_Onumber__ring(v0)) & ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, c_Int_OPls) = v1) | ~ class_Int_Onumber__ring(v0) | c_Groups_Ozero__class_Ozero(v0) = v1) & ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, c_Int_OPls) = v1) | ~ class_Int_Onumber__ring(v0) | c_Int_Oiszero(v0, v1)) & ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (c_Int_OBit0(v0) = v2 & c_Int_OBit1(v0) = v4 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v4) = v5 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v5) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v3))) & ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1)) & ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = c_Int_OPls) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_47_47, v0) = v1)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v0) = v1) | c_Int_OBit0(v0) = v1) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_47_47) = v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_47_47, v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_46_46) = v1) | c_Nat_OSuc(v0) = v1) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_48_48) = v1) | ? [v2] : (c_Nat_OSuc(v2) = v1 & c_Nat_OSuc(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_29_29, v0) = v1) | ? [v2] : ? [v3] : (c_Nat_OSuc(v3) = v1 & c_Nat_OSuc(v2) = v3 & c_Nat_OSuc(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_46_46, v0) = v1) | c_Nat_OSuc(v0) = v1) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_48_48, v0) = v1) | ? [v2] : (c_Nat_OSuc(v2) = v1 & c_Nat_OSuc(v0) = v2)) & ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = all_0_41_41) | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v0) & ! [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_Groups_Oone__class_Oone(v0) = v1) | ~ c_Int_Oiszero(v0, v1) | ~ class_Rings_Osemiring__1(v0)) & ! [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] : ( ~ (hAPP(v0, all_0_41_41) = v1) | ~ (hAPP(all_0_40_40, all_0_41_41) = v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v1)) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_7_7, v0) = v1) | ? [v2] : (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v0) = v2 & hAPP(all_0_7_7, v1) = v2)) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_11_11, v0) = v1) | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_16_16, v1) = v0) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0)) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_19_19, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_51_51, v1)) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_27_27, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (hAPP(v5, all_0_48_48) = v4 & hAPP(v2, all_0_48_48) = v3 & hAPP(all_0_24_24, v3) = v4 & hAPP(all_0_44_44, v1) = v5 & hAPP(all_0_44_44, v0) = v2)) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_31_31, v0) = v1) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_35_35, v0) = v1) | hAPP(v1, all_0_36_36) = all_0_36_36) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_35_35, v0) = v1) | hAPP(v1, all_0_46_46) = v0) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_35_35, v0) = v1) | ? [v2] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v2 & hAPP(v1, all_0_48_48) = v2)) & ! [v0] : ! [v1] : ( ~ (hAPP(all_0_39_39, v0) = v1) | hAPP(v1, all_0_47_47) = v0) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Oorder(v1)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Olinorder(v1) | ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v0)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Olinorder(v1)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Opreorder(v1)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0)) & ! [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_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0)) & ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | ? [v2] : c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v2) = v0) & ? [v0] : ? [v1] : ! [v2] : (v1 = v0 | ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v0, v1)) & ? [v0] : ? [v1] : ! [v2] : (v1 = v0 | ~ class_Rings_Olinordered__idom(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v0, v1)) & ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v0, v1) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0)) & ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1)) & ? [v0] : ! [v1] : ( ~ class_Orderings_Oorder(v1) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0)) & ? [v0] : ! [v1] : ( ~ class_Orderings_Olinorder(v1) | c_Orderings_Oord__class_Oless(v1, v0, v0) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0)) & ? [v0] : ! [v1] : ( ~ class_Orderings_Opreorder(v1) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0)) & ! [v0] : (v0 = all_0_36_36 | v0 = all_0_46_46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_48_48)) & ! [v0] : (v0 = all_0_36_36 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_36_36, all_0_36_36) = v0)) & ! [v0] : (v0 = all_0_36_36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_46_46)) & ! [v0] : (v0 = all_0_36_36 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, all_0_36_36)) & ! [v0] : (v0 = all_0_41_41 | ~ (c_NthRoot_Osqrt(v0) = all_0_41_41) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0)) & ! [v0] : (v0 = all_0_41_41 | ~ (c_NthRoot_Osqrt(v0) = all_0_41_41)) & ! [v0] : (v0 = all_0_46_46 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_36_36, all_0_46_46) = v0)) & ! [v0] : (v0 = all_0_46_46 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_46_46, all_0_36_36) = v0)) & ! [v0] : (v0 = all_0_46_46 | ~ (hAPP(all_0_21_21, all_0_46_46) = v0)) & ! [v0] : (v0 = all_0_47_47 | v0 = c_Int_OPls | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_17_17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0)) & ! [v0] : (v0 = all_0_47_47 | ~ (hAPP(all_0_38_38, all_0_47_47) = v0)) & ! [v0] : (v0 = all_0_51_51 | ~ (c_NthRoot_Osqrt(v0) = all_0_51_51)) & ! [v0] : (v0 = c_Int_OMin | ~ (c_Int_OBit1(v0) = c_Int_OMin)) & ! [v0] : (v0 = c_Int_OPls | ~ (c_Int_OBit0(v0) = c_Int_OPls)) & ! [v0] : ~ (c_Nat_OSuc(v0) = v0) & ! [v0] : ~ (c_Nat_OSuc(v0) = all_0_36_36) & ! [v0] : ( ~ (c_NthRoot_Osqrt(v0) = all_0_41_41) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v0)) & ! [v0] : ~ (c_Int_OBit0(v0) = c_Int_OMin) & ! [v0] : ~ (c_Int_OBit1(v0) = c_Int_OPls) & ! [v0] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_0_36_36) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls)) & ! [v0] : ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v0) = c_Complex_Oii) & ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v0) & ! [v0] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_47_47, v0)) & ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0) & ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_36_36) & ! [v0] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0) | ? [v1] : c_Nat_OSuc(v1) = v0) & ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v0) & ! [v0] : ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | ? [v1] : hAPP(all_0_16_16, v1) = v0) & ! [v0] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_47_47, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, 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] : ? [v1] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1)) & ? [v0] : (v0 = all_0_36_36 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0)) & ? [v0] : (c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | ? [v1] : ? [v2] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, all_0_47_47) = v0 & hAPP(all_0_16_16, v1) = v2)) & ? [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_36_36, v0) & ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v0)
% 175.83/93.77 |
% 175.83/93.77 | Applying alpha-rule on (1) yields:
% 175.83/93.77 | (2) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ class_Rings_Olinordered__semidom(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0) | ? [v6] : ? [v7] : ((c_Groups_Ozero__class_Ozero(v2) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) | (hAPP(v5, all_0_48_48) = v7 & hAPP(v4, all_0_48_48) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v7))))
% 175.83/93.77 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = all_0_41_41 | ~ (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v0) = v3))
% 175.83/93.77 | (4) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1))
% 175.83/93.77 | (5) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0))
% 175.83/93.78 | (6) class_Int_Onumber__ring(tc_RealDef_Oreal)
% 175.83/93.78 | (7) ! [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))
% 175.83/93.78 | (8) ! [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))
% 175.83/93.78 | (9) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_39_39, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5))
% 175.83/93.78 | (10) ! [v0] : ! [v1] : (v0 = all_0_36_36 | v0 = all_0_46_46 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_46_46))
% 175.83/93.78 | (11) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit1(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3))
% 175.83/93.78 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit1(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 175.83/93.78 | (13) ! [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)))
% 175.83/93.78 | (14) ! [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)
% 175.83/93.78 | (15) class_RealVector_Oreal__normed__algebra__1(tc_RealDef_Oreal)
% 175.83/93.78 | (16) class_Rings_Oordered__comm__semiring(tc_RealDef_Oreal)
% 175.83/93.78 | (17) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_31_31, v0) = v1) | c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v1)
% 175.83/93.78 | (18) ! [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))
% 175.83/93.78 | (19) ! [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))
% 175.83/93.78 | (20) class_Int_Onumber(tc_Code__Numeral_Ocode__numeral)
% 175.83/93.78 | (21) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | ~ class_Rings_Olinordered__idom(v2) | ~ class_Int_Onumber__ring(v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 175.83/93.78 | (22) class_Rings_Ocomm__semiring(tc_Code__Numeral_Ocode__numeral)
% 175.83/93.78 | (23) class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint)
% 175.83/93.78 | (24) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_0_49_49) = all_0_17_17
% 175.83/93.78 | (25) class_Fields_Ofield(tc_Complex_Ocomplex)
% 175.83/93.78 | (26) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_49_49) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ~ class_Int_Onumber__ring(v1) | ? [v4] : (c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ c_Orderings_Oord__class_Oless(v1, v4, v3) | c_Orderings_Oord__class_Oless(v1, v4, v0)) & ( ~ c_Orderings_Oord__class_Oless(v1, v4, v0) | c_Orderings_Oord__class_Oless(v1, v4, v3))))
% 175.83/93.78 | (27) ! [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))
% 175.83/93.78 | (28) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Complex_Ocomplex_OComplex(v1, all_0_41_41) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v0) = v3) | ? [v4] : ( ~ (v4 = v1) & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v0) = v4))
% 175.83/93.78 | (29) ! [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))
% 175.83/93.78 | (30) class_Rings_Olinordered__ring__strict(tc_Int_Oint)
% 175.83/93.78 | (31) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) = v14) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~ (hAPP(v12, all_0_48_48) = v13) | ~ (hAPP(v10, all_0_48_48) = v11) | ~ (hAPP(v9, v14) = v15) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(all_0_40_40, v8) = v9) | ~ (hAPP(all_0_44_44, v3) = v4) | ~ (hAPP(all_0_44_44, v2) = v6) | ~ (hAPP(all_0_44_44, v1) = v10) | ~ (hAPP(all_0_44_44, v0) = v12) | ? [v16] : (c_NthRoot_Osqrt(v15) = v16 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v16)))
% 175.83/93.78 | (32) class_Rings_Olinordered__semiring(tc_Code__Numeral_Ocode__numeral)
% 175.83/93.78 | (33) c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_0_5_5, all_0_3_3) = all_0_2_2
% 175.83/93.78 | (34) c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OPls) = c_Int_OPls
% 175.83/93.78 | (35) c_Groups_Ozero__class_Ozero(tc_Int_Oint) = c_Int_OPls
% 175.83/93.78 | (36) c_Power_Opower__class_Opower(tc_RealDef_Oreal) = all_0_44_44
% 175.83/93.78 | (37) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v1, v2) = v3) | ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_35_35, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v3))
% 175.83/93.78 | (38) ! [v0] : (v0 = all_0_46_46 | ~ (hAPP(all_0_21_21, all_0_46_46) = v0))
% 175.83/93.78 | (39) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Opreorder(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 175.83/93.78 | (40) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : (c_Groups_Oone__class_Oone(v2) = v6 & ( ~ c_Orderings_Oord__class_Oless(v2, v6, v1) | c_Orderings_Oord__class_Oless(v2, v6, v5))))
% 175.83/93.78 | (41) class_Rings_Oordered__comm__semiring(tc_Code__Numeral_Ocode__numeral)
% 175.83/93.78 | (42) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Complex_Ocomplex_Ocomplex__case(v3, v2, v4) = v5) | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v4) | ? [v6] : (hAPP(v6, v0) = v5 & hAPP(v2, v1) = v6))
% 175.83/93.78 | (43) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v0 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = all_0_41_41) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | ~ (hAPP(all_0_40_40, v0) = v4))
% 175.83/93.78 | (44) ! [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)))
% 175.83/93.78 | (45) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OPls)
% 175.83/93.78 | (46) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_47_47) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))
% 175.83/93.78 | (47) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_47_47) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 175.83/93.78 | (48) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v2) = v3) | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v1, v0) = v2) | ? [v6] : (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v1) = v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v5)))
% 175.83/93.78 | (49) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v7, v8) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v6, v0) = v8) | ~ (hAPP(v4, v5) = v6) | ~ class_Rings_Osemiring(v3) | ~ class_Int_Onumber(v3) | ? [v10] : (c_Groups_Oplus__class_Oplus(v3, v1, v0) = v10 & hAPP(v6, v10) = v9))
% 175.83/93.78 | (50) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_41_41 | ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~ class_RealVector_Oreal__normed__vector(v0))
% 175.83/93.78 | (51) hAPP(all_0_40_40, all_0_51_51) = all_0_23_23
% 175.83/93.78 | (52) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit1(v0) = v2))
% 175.83/93.78 | (53) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v0) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ class_Rings_Odivision__ring(v2) | ? [v5] : (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v5) = v4))
% 175.83/93.78 | (54) ! [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))
% 175.83/93.78 | (55) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint)
% 175.83/93.78 | (56) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_39_39, v2) = v3) | ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_39_39, v1) = v5))
% 175.83/93.78 | (57) ! [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))
% 175.83/93.78 | (58) class_Rings_Omult__zero(tc_Code__Numeral_Ocode__numeral)
% 175.83/93.78 | (59) class_Rings_Ocomm__semiring(tc_Nat_Onat)
% 175.83/93.78 | (60) ! [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_35_35, v2) = v3) | ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v7 & hAPP(v3, v7) = v6))
% 176.10/93.78 | (61) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_39_39, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v5) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1))
% 176.10/93.79 | (62) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v1))
% 176.10/93.79 | (63) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v0))
% 176.10/93.79 | (64) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Nat_OSuc(v5) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Groups_Otimes__class_Otimes(v2) = v8 & hAPP(v11, v10) = v12 & hAPP(v9, v12) = v7 & hAPP(v8, v10) = v11 & hAPP(v8, v1) = v9 & hAPP(v4, v0) = v10))
% 176.10/93.79 | (65) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ? [v3] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_0_28_28) = v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3)))
% 176.10/93.79 | (66) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v1, v4, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v3) = v4) | ~ class_Int_Onumber__ring(v1) | ? [v6] : (c_Int_OBit0(v0) = v6 & c_Int_Onumber__class_Onumber__of(v1, v6) = v5))
% 176.10/93.79 | (67) c_Groups_Otimes__class_Otimes(tc_Int_Oint) = all_0_39_39
% 176.10/93.79 | (68) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v1, v6) | c_Orderings_Oord__class_Oless(v3, v7, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 176.10/93.79 | (69) ~ (c_Int_OMin = c_Int_OPls)
% 176.10/93.79 | (70) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v0))
% 176.10/93.79 | (71) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v1))
% 176.10/93.79 | (72) ! [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))
% 176.10/93.79 | (73) class_Rings_Olinordered__semiring(tc_RealDef_Oreal)
% 176.10/93.79 | (74) class_Rings_Ocomm__semiring__1(tc_Code__Numeral_Ocode__numeral)
% 176.10/93.79 | (75) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : ((v4 = v0 & c_Groups_Ouminus__class_Ouminus(v2, v1) = v0) | ( ~ (v4 = v3) & c_Groups_Ozero__class_Ozero(v2) = v4)))
% 176.10/93.79 | (76) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 176.10/93.79 | (77) ! [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))
% 176.10/93.79 | (78) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (hAPP(v3, v2) = v1) | ~ (hAPP(v3, v2) = v0))
% 176.10/93.79 | (79) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v3))
% 176.10/93.79 | (80) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(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__eq(v2, v4, v3))))
% 176.10/93.79 | (81) class_Groups_Omonoid__add(tc_Code__Numeral_Ocode__numeral)
% 176.10/93.79 | (82) ! [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))
% 176.10/93.79 | (83) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(v1, v2, v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & c_Orderings_Oord__class_Oless(v1, v3, v0))) & (c_Orderings_Oord__class_Oless(v1, v2, v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless(v1, v3, v0)))))
% 176.10/93.79 | (84) class_Rings_Oring__1(tc_Complex_Ocomplex)
% 176.10/93.79 | (85) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1))
% 176.10/93.79 | (86) ! [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))
% 176.10/93.79 | (87) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v0, v7) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))
% 176.10/93.79 | (88) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v1, v4) | c_Orderings_Oord__class_Oless(v3, v0, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))
% 176.10/93.79 | (89) class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat)
% 176.10/93.79 | (90) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, all_0_28_28) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v1) = v2))
% 176.10/93.79 | (91) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Int_OBit1(v1) = v2) | ~ (c_Int_OBit1(v0) = v2))
% 176.10/93.79 | (92) class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)
% 176.10/93.79 | (93) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v0) | (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_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v0)))))
% 176.10/93.79 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_49_49) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Int_Onumber__ring(v1) | c_Groups_Oplus__class_Oplus(v1, v0, v0) = v5)
% 176.10/93.79 | (95) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v4) | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v5, v0) = v6) | ~ (c_Groups_Oplus__class_Oplus(v3, v4, v6) = v7) | ~ class_Int_Onumber__ring(v3) | ? [v8] : ? [v9] : (c_Int_Onumber__class_Onumber__of(v3, v8) = v9 & c_Groups_Oplus__class_Oplus(v3, v9, v0) = v7 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v8))
% 176.10/93.79 | (96) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3))
% 176.10/93.79 | (97) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 176.10/93.79 | (98) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_15_15, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 176.10/93.79 | (99) ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v0)
% 176.10/93.79 | (100) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ? [v8] : (( ~ c_Orderings_Oord__class_Oless(v3, v4, v0) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v1) | c_Orderings_Oord__class_Oless(v3, v2, v7)) & (c_Orderings_Oord__class_Oless(v3, v8, v1) | (( ~ c_Orderings_Oord__class_Oless(v3, v1, v8) | c_Orderings_Oord__class_Oless(v3, v7, v2)) & (c_Orderings_Oord__class_Oless(v3, v8, v0) | c_Orderings_Oord__class_Oless(v3, v1, v8)))))) & (c_Orderings_Oord__class_Oless(v3, v4, v0) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ((c_Orderings_Oord__class_Oless(v3, v8, v1) & ~ c_Orderings_Oord__class_Oless(v3, v2, v7)) | ( ~ c_Orderings_Oord__class_Oless(v3, v8, v1) & ((c_Orderings_Oord__class_Oless(v3, v1, v8) & ~ c_Orderings_Oord__class_Oless(v3, v7, v2)) | ( ~ c_Orderings_Oord__class_Oless(v3, v8, v0) & ~ c_Orderings_Oord__class_Oless(v3, v1, v8)))))))))
% 176.10/93.79 | (101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v2) = v6) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v8] : (( ~ (v4 = v2) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ (v8 = v0) | v2 = v0) & (v8 = v0 | v7 = v1))) & (v4 = v2 | (c_Groups_Ozero__class_Ozero(v3) = v8 & ((v8 = v0 & ~ (v2 = v0)) | ( ~ (v8 = v0) & ~ (v7 = v1)))))))
% 176.10/93.79 | (102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v5) | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | ? [v6] : (c_Groups_Ozero__class_Ozero(v3) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v6)))
% 176.10/93.79 | (103) c_Groups_Oone__class_Oone(tc_Code__Numeral_Ocode__numeral) = all_0_43_43
% 176.10/93.79 | (104) ! [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))
% 176.10/93.79 | (105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v3) | ? [v4] : ? [v5] : ? [v6] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v4) = v5 & hAPP(v3, all_0_48_48) = v6 & hAPP(v2, all_0_48_48) = v4 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v5, v6)))
% 176.10/93.80 | (106) class_Rings_Oidom(tc_Complex_Ocomplex)
% 176.10/93.80 | (107) class_Rings_Oordered__ring(tc_Int_Oint)
% 176.10/93.80 | (108) class_Orderings_Oord(tc_Nat_Onat)
% 176.10/93.80 | (109) ! [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)))
% 176.10/93.80 | (110) ~ (all_0_12_12 = c_Int_OPls)
% 176.10/93.80 | (111) ! [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))
% 176.10/93.80 | (112) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ozero__neq__one(v2) | ~ class_Rings_Ono__zero__divisors(v2) | ~ class_Rings_Omult__zero(v2) | ~ class_Power_Opower(v2) | ? [v6] : (c_Groups_Ozero__class_Ozero(v2) = v6 & ( ~ (v6 = v5) | (v5 = v1 & ~ (v0 = all_0_36_36))) & ( ~ (v6 = v1) | v5 = v1 | v0 = all_0_36_36)))
% 176.10/93.80 | (113) class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex)
% 176.10/93.80 | (114) c_Groups_Ozero__class_Ozero(tc_RealDef_Oreal) = all_0_41_41
% 176.10/93.80 | (115) ! [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))
% 176.10/93.80 | (116) class_RealVector_Oreal__normed__div__algebra(tc_RealDef_Oreal)
% 176.10/93.80 | (117) ! [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)))
% 176.10/93.80 | (118) class_Groups_Oordered__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral)
% 176.10/93.80 | (119) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2))
% 176.10/93.80 | (120) ! [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)))
% 176.10/93.80 | (121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v4) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v4) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v2) = v7) | ~ class_Fields_Ofield__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ (v5 = v2) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ (v9 = v4) | v4 = v2) & (v9 = v4 | v8 = v1))) & (v5 = v2 | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((v9 = v4 & ~ (v4 = v2)) | ( ~ (v9 = v4) & ~ (v8 = v1)))))))
% 176.10/93.80 | (122) ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1))
% 176.10/93.80 | (123) ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0))
% 176.10/93.80 | (124) ! [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))
% 176.10/93.80 | (125) class_Rings_Osemiring__0(tc_Nat_Onat)
% 176.10/93.80 | (126) ! [v0] : ! [v1] : (v1 = all_0_46_46 | ~ (hAPP(all_0_14_14, v0) = v1))
% 176.10/93.80 | (127) ! [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))))
% 176.10/93.80 | (128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | ? [v5] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5))
% 176.10/93.80 | (129) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v4) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v4) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v2) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) | c_Orderings_Oord__class_Oless__eq(v3, v8, v1)) & (c_Orderings_Oord__class_Oless(v3, v9, v4) | (( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless__eq(v3, v1, v8)) & (c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless__eq(v3, v2, v9)))))) & (c_Orderings_Oord__class_Oless__eq(v3, v2, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v4) & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v1)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) & ((c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v9)))))))))
% 176.10/93.80 | (130) ! [v0] : ! [v1] : ( ~ (hAPP(v0, all_0_41_41) = v1) | ~ (hAPP(all_0_40_40, all_0_41_41) = v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v1))
% 176.10/93.80 | (131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Rings_Olinordered__idom(v2) | ? [v7] : (c_Groups_Ozero__class_Ozero(v2) = v7 & c_Orderings_Oord__class_Oless__eq(v2, v7, v6)))
% 176.10/93.80 | (132) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = all_0_36_36 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls))
% 176.10/93.80 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v0) = v3) | ~ (c_Int_OBit1(v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 176.10/93.80 | (134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v0) = v3) | ~ (c_Int_OBit1(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3))
% 176.10/93.80 | (135) class_Rings_Oordered__ring(tc_RealDef_Oreal)
% 176.10/93.80 | (136) class_Rings_Omult__zero(tc_Int_Oint)
% 176.10/93.80 | (137) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_29_29, v0) = v1) | ? [v2] : ? [v3] : (c_Nat_OSuc(v3) = v1 & c_Nat_OSuc(v2) = v3 & c_Nat_OSuc(v0) = v2))
% 176.10/93.80 | (138) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(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))))
% 176.10/93.80 | (139) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v8] : (( ~ (v4 = v0) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ (v8 = v1) | v1 = v0) & (v8 = v1 | v7 = v2))) & (v4 = v0 | (c_Groups_Ozero__class_Ozero(v3) = v8 & ((v8 = v1 & ~ (v1 = v0)) | ( ~ (v8 = v1) & ~ (v7 = v2)))))))
% 176.10/93.80 | (140) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | v1 = all_0_41_41 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_40_40, v1) = v2))
% 176.10/93.80 | (141) ! [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))
% 176.10/93.80 | (142) class_Orderings_Oord(tc_RealDef_Oreal)
% 176.10/93.80 | (143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v7, v2) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v6, v0) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Fields_Ofield(v3) | ? [v9] : ? [v10] : ((v10 = v8 & c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v9 & c_Groups_Oplus__class_Oplus(v3, v1, v9) = v8) | (v9 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2)))
% 176.10/93.80 | (144) class_Groups_Oab__semigroup__add(tc_RealDef_Oreal)
% 176.10/93.80 | (145) ? [v0] : ? [v1] : (v1 = v0 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))
% 176.10/93.80 | (146) class_Rings_Osemiring__0(tc_Int_Oint)
% 176.10/93.80 | (147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1) | ? [v5] : ? [v6] : (c_Power_Opower__class_Opower(v1) = v5 & hAPP(v6, all_0_48_48) = v4 & hAPP(v5, v0) = v6))
% 176.10/93.80 | (148) ! [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))
% 176.10/93.80 | (149) ! [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)))
% 176.10/93.80 | (150) ! [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)))
% 176.10/93.80 | (151) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Int_OBit1(v0) = v2) | ~ (c_Int_OBit1(v0) = v1))
% 176.10/93.80 | (152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ class_Orderings_Olinorder(v2) | ~ class_Int_Onumber(v2) | c_Orderings_Oord__class_Oless(v2, v4, v3) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))
% 176.10/93.80 | (153) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ? [v3] : ( ~ (v3 = v0) & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3))
% 176.10/93.80 | (154) ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_12_12 | v0 = all_0_47_47 | ~ (hAPP(v2, v0) = all_0_47_47) | ~ (hAPP(all_0_39_39, v1) = v2))
% 176.10/93.80 | (155) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_0_36_36) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, all_0_36_36) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1) | c_Groups_Oone__class_Oone(v1) = v5)
% 176.10/93.80 | (156) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_50_50) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Int_Onumber__ring(v1))
% 176.10/93.81 | (157) ! [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)))
% 176.10/93.81 | (158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit1(v0) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ c_Int_Oiszero(v1, v3) | ~ class_Int_Oring__char__0(v1) | ~ class_Int_Onumber__ring(v1))
% 176.10/93.81 | (159) ! [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))
% 176.10/93.81 | (160) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_35_35, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5))
% 176.10/93.81 | (161) ! [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))
% 176.10/93.81 | (162) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = all_0_41_41 | v1 = v0 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_40_40, v2) = v3))
% 176.10/93.81 | (163) ! [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))))
% 176.10/93.81 | (164) class_Power_Opower(tc_Complex_Ocomplex)
% 176.10/93.81 | (165) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ( ~ (c_Rings_Oinverse__class_Odivide(v4, v10, v12) = v13) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v4, v7, v9) = v10) | ~ (hAPP(v11, v2) = v12) | ~ (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v3) = v11) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v8) | ~ class_Fields_Ofield(v4) | ? [v14] : ? [v15] : ? [v16] : ((v16 = v13 & c_Rings_Oinverse__class_Odivide(v4, v1, v3) = v14 & c_Rings_Oinverse__class_Odivide(v4, v0, v2) = v15 & c_Groups_Oplus__class_Oplus(v4, v14, v15) = v13) | (c_Groups_Ozero__class_Ozero(v4) = v14 & (v14 = v3 | v14 = v2))))
% 176.10/93.81 | (166) ! [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))
% 176.10/93.81 | (167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 176.10/93.81 | (168) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 176.10/93.81 | (169) ! [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))
% 176.10/93.81 | (170) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v2 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls))
% 176.10/93.81 | (171) ? [v0] : (c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | ? [v1] : ? [v2] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, all_0_47_47) = v0 & hAPP(all_0_16_16, v1) = v2))
% 176.10/93.81 | (172) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Complex_Ocomplex_OComplex(v4, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v0) = v5) | ? [v7] : ? [v8] : (c_Complex_Ocomplex_OComplex(v3, v2) = v7 & c_Complex_Ocomplex_OComplex(v1, v0) = v8 & c_Groups_Oplus__class_Oplus(tc_Complex_Ocomplex, v7, v8) = v6))
% 176.10/93.81 | (173) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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))
% 176.10/93.81 | (174) class_Rings_Olinordered__comm__semiring__strict(tc_Code__Numeral_Ocode__numeral)
% 176.10/93.81 | (175) ! [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))))
% 176.10/93.81 | (176) ! [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))
% 176.10/93.81 | (177) class_Rings_Olinordered__semidom(tc_Code__Numeral_Ocode__numeral)
% 176.10/93.81 | (178) ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, c_Int_OPls) = v1) | ~ class_Int_Onumber__ring(v0) | c_Int_Oiszero(v0, v1))
% 176.10/93.81 | (179) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) = v14) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~ (hAPP(v12, all_0_48_48) = v13) | ~ (hAPP(v10, all_0_48_48) = v11) | ~ (hAPP(v9, v14) = v15) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(all_0_40_40, v8) = v9) | ~ (hAPP(all_0_44_44, v3) = v4) | ~ (hAPP(all_0_44_44, v2) = v6) | ~ (hAPP(all_0_44_44, v1) = v10) | ~ (hAPP(all_0_44_44, v0) = v12) | ? [v16] : ? [v17] : (c_NthRoot_Osqrt(v15) = v16 & hAPP(v17, all_0_48_48) = v15 & hAPP(all_0_44_44, v16) = v17))
% 176.10/93.81 | (180) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3))
% 176.10/93.81 | (181) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Power_Opower__class_Opower(v3) = v5) | ~ (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))
% 176.10/93.81 | (182) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v6, v4) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v0) | c_Orderings_Oord__class_Oless(v3, v8, v1)) & (c_Orderings_Oord__class_Oless(v3, v9, v0) | (( ~ c_Orderings_Oord__class_Oless(v3, v0, v9) | c_Orderings_Oord__class_Oless(v3, v1, v8)) & (c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless(v3, v0, v9)))))) & (c_Orderings_Oord__class_Oless(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v0) & ~ c_Orderings_Oord__class_Oless(v3, v8, v1)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v0) & ((c_Orderings_Oord__class_Oless(v3, v0, v9) & ~ c_Orderings_Oord__class_Oless(v3, v1, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless(v3, v0, v9)))))))))
% 176.10/93.81 | (183) ! [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))))
% 176.10/93.81 | (184) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | v0 = all_0_36_36 | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1))
% 176.10/93.81 | (185) ! [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))
% 176.10/93.81 | (186) ! [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))
% 176.10/93.81 | (187) class_Power_Opower(tc_RealDef_Oreal)
% 176.10/93.81 | (188) ! [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))
% 176.10/93.81 | (189) ! [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)))
% 176.10/93.81 | (190) class_Groups_Oordered__ab__semigroup__add__imp__le(tc_RealDef_Oreal)
% 176.10/93.81 | (191) ? [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))
% 176.10/93.81 | (192) ! [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))
% 176.10/93.81 | (193) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_50_50, v0) | (c_Groups_Oone__class_Oone(v1) = v3 & c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_50_50, v0) | (c_Groups_Oone__class_Oone(v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))))
% 176.10/93.81 | (194) ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_0_49_49) = v1) | ~ class_Int_Onumber__ring(v0) | ? [v2] : (c_Groups_Oplus__class_Oplus(v0, v2, v2) = v1 & c_Groups_Oone__class_Oone(v0) = v2))
% 176.10/93.81 | (195) class_Fields_Ofield(tc_RealDef_Oreal)
% 176.10/93.81 | (196) class_Rings_Omult__zero(tc_Complex_Ocomplex)
% 176.10/93.81 | (197) ? [v0] : (v0 = all_0_36_36 | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0))
% 176.10/93.81 | (198) c_Complex_Ocomplex_OComplex(all_0_41_41, all_0_41_41) = all_0_42_42
% 176.10/93.81 | (199) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v4) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ class_Fields_Ofield__inverse__zero(v2) | c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v5)
% 176.10/93.81 | (200) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v3, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v2, v4) = v5) | ~ class_Rings_Ocomm__semiring__1(v1) | c_Groups_Oplus__class_Oplus(v1, v0, v0) = v6)
% 176.10/93.82 | (201) ! [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)))
% 176.10/93.82 | (202) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_27_27, v0) = v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (hAPP(v5, all_0_48_48) = v4 & hAPP(v2, all_0_48_48) = v3 & hAPP(all_0_24_24, v3) = v4 & hAPP(all_0_44_44, v1) = v5 & hAPP(all_0_44_44, v0) = v2))
% 176.10/93.82 | (203) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : ((c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0)) | (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v0, v8))))
% 176.10/93.82 | (204) ! [v0] : ! [v1] : (v0 = all_0_36_36 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v1))
% 176.10/93.82 | (205) c_Groups_Oone__class_Oone(tc_Nat_Onat) = all_0_46_46
% 176.10/93.82 | (206) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v5) | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v4, v5) | ? [v6] : (c_Groups_Ozero__class_Ozero(v3) = v6 & ~ c_Orderings_Oord__class_Oless(v3, v0, v6)))
% 176.10/93.82 | (207) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_NthRoot_Osqrt(v2) = v1) | ~ (c_NthRoot_Osqrt(v2) = v0))
% 176.10/93.82 | (208) ! [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))))
% 176.10/93.82 | (209) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_50_50, v0) = v2) | ~ class_Int_Onumber__ring(v1) | ? [v4] : ? [v5] : (c_Int_Onumber__class_Onumber__of(v1, v0) = v5 & c_Groups_Oplus__class_Oplus(v1, v4, v5) = v3 & c_Groups_Oone__class_Oone(v1) = v4))
% 176.10/93.82 | (210) ! [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_39_39, v2) = v3) | ~ (hAPP(all_0_39_39, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_39_39, v8) = v9))
% 176.10/93.82 | (211) ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_47_47 | ~ (hAPP(v2, v0) = all_0_47_47) | ~ (hAPP(all_0_39_39, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1))
% 176.10/93.82 | (212) ! [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)
% 176.10/93.82 | (213) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (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))
% 176.10/93.82 | (214) class_Rings_Ozero__neq__one(tc_Code__Numeral_Ocode__numeral)
% 176.10/93.82 | (215) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v3) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Oring__1(v1) | ? [v5] : ? [v6] : (hAPP(v6, all_0_48_48) = v5 & hAPP(v4, all_0_48_48) = v5 & hAPP(v2, v0) = v6))
% 176.10/93.82 | (216) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1) | ? [v7] : ? [v8] : (c_Power_Opower__class_Opower(v1) = v7 & hAPP(v8, all_0_29_29) = v6 & hAPP(v7, v0) = v8))
% 176.10/93.82 | (217) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v2) = v6) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ? [v8] : (( ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v4) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v0) | c_Orderings_Oord__class_Oless__eq(v3, v7, v1)) & (c_Orderings_Oord__class_Oless(v3, v8, v0) | (( ~ c_Orderings_Oord__class_Oless(v3, v0, v8) | c_Orderings_Oord__class_Oless__eq(v3, v1, v7)) & (c_Orderings_Oord__class_Oless(v3, v0, v8) | c_Orderings_Oord__class_Oless__eq(v3, v2, v8)))))) & (c_Orderings_Oord__class_Oless__eq(v3, v2, v4) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ((c_Orderings_Oord__class_Oless(v3, v8, v0) & ~ c_Orderings_Oord__class_Oless__eq(v3, v7, v1)) | ( ~ c_Orderings_Oord__class_Oless(v3, v8, v0) & ((c_Orderings_Oord__class_Oless(v3, v0, v8) & ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v7)) | ( ~ c_Orderings_Oord__class_Oless(v3, v0, v8) & ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v8)))))))))
% 176.10/93.82 | (218) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, v0) = v1))
% 176.10/93.82 | (219) ! [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)))
% 176.10/93.82 | (220) c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, all_0_32_32) = all_0_9_9
% 176.10/93.82 | (221) ! [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_39_39, v5) = v6) | ~ (hAPP(all_0_39_39, v2) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v8, c_Int_OPls) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v4))
% 176.10/93.82 | (222) ! [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))
% 176.10/93.82 | (223) ! [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))
% 176.10/93.82 | (224) class_Rings_Oring__no__zero__divisors(tc_Int_Oint)
% 176.10/93.82 | (225) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v3) | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v2))
% 176.10/93.82 | (226) class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat)
% 176.10/93.82 | (227) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OPls) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ class_Int_Onumber__ring(v1))
% 176.10/93.82 | (228) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Opreorder(v1) | class_Orderings_Opreorder(v2))
% 176.10/93.82 | (229) ! [v0] : ! [v1] : (v1 = all_0_36_36 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_36_36))
% 176.10/93.82 | (230) ! [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_35_35, v1) = v6) | ~ class_Groups_Omonoid__mult(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10))
% 176.10/93.82 | (231) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Groups_Omonoid__mult(v2) | ? [v7] : ? [v8] : (hAPP(v8, all_0_48_48) = v6 & hAPP(v4, v0) = v7 & hAPP(v3, v7) = v8))
% 176.10/93.82 | (232) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(all_0_35_35, v3) = v4) | ~ (hAPP(all_0_35_35, 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))
% 176.10/93.82 | (233) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v3))
% 176.10/93.82 | (234) class_Power_Opower(tc_Nat_Onat)
% 176.10/93.82 | (235) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Otimes__class_Otimes(v2) = v1) | ~ (c_Groups_Otimes__class_Otimes(v2) = v0))
% 176.10/93.82 | (236) ! [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))
% 176.10/93.82 | (237) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Int_Oring__char__0(v1) | ~ class_Int_Onumber__ring(v1))
% 176.10/93.82 | (238) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Oone__class_Oone(v2) = v1) | ~ (c_Groups_Oone__class_Oone(v2) = v0))
% 176.10/93.82 | (239) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ class_Rings_Olinordered__idom(v2) | ~ class_Int_Onumber__ring(v2) | c_Orderings_Oord__class_Oless(v2, v3, v4))
% 176.10/93.82 | (240) class_Groups_Ogroup__add(tc_Int_Oint)
% 176.10/93.82 | (241) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ class_Orderings_Oord(v3) | c_Orderings_Oord__class_Oless__eq(v4, v1, v0))
% 176.10/93.82 | (242) hAPP(all_0_15_15, all_0_46_46) = all_0_14_14
% 176.10/93.83 | (243) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_40_40, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0))
% 176.10/93.83 | (244) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = all_0_41_41 | v1 = v0 | ~ (hAPP(v5, v2) = v4) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_40_40, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v5))
% 176.10/93.83 | (245) ! [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_39_39, 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, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v3))
% 176.10/93.83 | (246) ! [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))))
% 176.10/93.83 | (247) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v3) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ? [v5] : (c_Nat_OSuc(v0) = v5 & hAPP(v2, v5) = v4))
% 176.10/93.83 | (248) class_Orderings_Opreorder(tc_HOL_Obool)
% 176.10/93.83 | (249) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_39_39, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v3))
% 176.10/93.83 | (250) class_Orderings_Oord(tc_Code__Numeral_Ocode__numeral)
% 176.10/93.83 | (251) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v2) = v1) | ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v2) = v0))
% 176.10/93.83 | (252) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3))
% 176.10/93.83 | (253) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0))
% 176.10/93.83 | (254) class_Groups_Oone(tc_Code__Numeral_Ocode__numeral)
% 176.10/93.83 | (255) ! [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))))
% 176.10/93.83 | (256) class_Groups_Omonoid__mult(tc_RealDef_Oreal)
% 176.10/93.83 | (257) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v2 | ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v4) = v5) | ~ (hAPP(all_0_27_27, v2) = v3) | ~ (hAPP(all_0_27_27, v0) = v4) | ? [v6] : ( ~ (v6 = v3) & c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v6))
% 176.10/93.83 | (258) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__idom(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ( ~ (v9 = v8) | (v8 = v0 & v1 = v0)) & ( ~ (v9 = v0) | ~ (v1 = v0) | v8 = v0)))
% 176.10/93.83 | (259) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v2) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0))
% 176.10/93.83 | (260) class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Code__Numeral_Ocode__numeral)
% 176.10/93.83 | (261) ! [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))))
% 176.10/93.83 | (262) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v3, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v3, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v4, v5))
% 176.10/93.83 | (263) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v3) = v4) | ~ class_Int_Onumber__ring(v2) | ? [v6] : ? [v7] : (( ~ c_Int_Oiszero(v2, v5) | (v7 = v6 & c_Int_Onumber__class_Onumber__of(v2, v1) = v6 & c_Int_Onumber__class_Onumber__of(v2, v0) = v6)) & (c_Int_Oiszero(v2, v5) | ( ~ (v7 = v6) & c_Int_Onumber__class_Onumber__of(v2, v1) = v6 & c_Int_Onumber__class_Onumber__of(v2, v0) = v7))))
% 176.10/93.83 | (264) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v1) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ? [v8] : ((c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v8 & c_Orderings_Oord__class_Oless(v3, v8, v7)) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v6) | ~ c_Orderings_Oord__class_Oless(v3, v0, v8)))))
% 176.10/93.83 | (265) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_31_31, v0) = v6) | ~ class_Rings_Oring__1(v2) | ? [v8] : (hAPP(v8, v6) = v7 & hAPP(v3, v1) = v8))
% 176.10/93.83 | (266) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_47_47) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2))
% 176.10/93.83 | (267) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v0) = v5) | ~ (c_Rings_Oinverse__class_Odivide(v4, v2, v1) = v6) | ~ class_Fields_Olinordered__field(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) | ? [v7] : (c_Groups_Ozero__class_Ozero(v4) = v7 & ( ~ c_Orderings_Oord__class_Oless(v4, v7, v1) | ~ c_Orderings_Oord__class_Oless__eq(v4, v7, v3))))
% 176.10/93.83 | (268) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Oring__1__no__zero__divisors(v1) | ? [v4] : ? [v5] : ? [v6] : (c_Groups_Oone__class_Oone(v1) = v5 & (v5 = v0 | (v6 = v0 & c_Groups_Ouminus__class_Ouminus(v1, v5) = v0) | ( ~ (v5 = v4) & hAPP(v3, all_0_48_48) = v4)) & ((v5 = v4 & hAPP(v3, all_0_48_48) = v4) | ( ~ (v6 = v0) & ~ (v5 = v0) & c_Groups_Ouminus__class_Ouminus(v1, v5) = v6))))
% 176.10/93.83 | (269) ! [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))
% 176.10/93.83 | (270) class_Groups_Oab__semigroup__mult(tc_Int_Oint)
% 176.10/93.83 | (271) class_Groups_Omonoid__add(tc_Nat_Onat)
% 176.10/93.83 | (272) class_Int_Onumber(tc_RealDef_Oreal)
% 176.10/93.83 | (273) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v1) = v0) | ~ class_Rings_Osemiring__1(v1) | c_Int_Oiszero(v1, v0))
% 176.10/93.83 | (274) ! [v0] : (v0 = all_0_46_46 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_46_46, all_0_36_36) = v0))
% 176.10/93.83 | (275) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_35_35, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_35_35, v1) = v4))
% 176.10/93.83 | (276) ! [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))
% 176.10/93.83 | (277) c_NthRoot_Osqrt(all_0_28_28) = all_0_18_18
% 176.10/93.83 | (278) class_Rings_Olinordered__semiring__1(tc_RealDef_Oreal)
% 176.10/93.83 | (279) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v0))
% 176.10/93.83 | (280) class_Rings_Oordered__semiring(tc_RealDef_Oreal)
% 176.10/93.83 | (281) ! [v0] : ! [v1] : (v1 = c_Int_OPls | ~ (hAPP(all_0_33_33, v0) = v1))
% 176.10/93.83 | (282) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v2) | c_Nat_Osize__class_Osize(tc_Complex_Ocomplex, v2) = all_0_36_36)
% 176.10/93.83 | (283) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_OBit0(v0) = v2) | ~ (c_Int_OBit1(v1) = v2))
% 176.10/93.83 | (284) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_0_50_50) = all_0_47_47
% 176.10/93.83 | (285) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OMin)
% 176.10/93.83 | (286) c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_0_47_47) = c_Int_OMin
% 176.10/93.83 | (287) c_Groups_Oone__class_Oone(tc_RealDef_Oreal) = all_0_51_51
% 176.10/93.83 | (288) ! [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))
% 176.10/93.83 | (289) ! [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))
% 176.10/93.83 | (290) ! [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))))
% 176.10/93.83 | (291) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_39_39, v0) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v3))
% 176.10/93.83 | (292) class_Groups_Oordered__ab__semigroup__add(tc_RealDef_Oreal)
% 176.10/93.83 | (293) class_Groups_Oordered__ab__group__add(tc_Int_Oint)
% 176.10/93.83 | (294) class_Rings_Oring(tc_Complex_Ocomplex)
% 176.10/93.83 | (295) ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v0)
% 176.10/93.83 | (296) class_Orderings_Olinorder(tc_Int_Oint)
% 176.10/93.84 | (297) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, all_0_30_30) = all_0_13_13
% 176.10/93.84 | (298) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_41_41) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2))
% 176.10/93.84 | (299) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_RealVector_Onorm__class_Onorm(v3, v1) = v4) | ~ (c_RealVector_Onorm__class_Onorm(v3, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(all_0_40_40, v2) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v7) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_0_41_41) | ~ class_RealVector_Oreal__normed__vector(v3) | c_Groups_Ozero__class_Ozero(v3) = v1)
% 176.10/93.84 | (300) ! [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)))
% 176.10/93.84 | (301) ! [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)))
% 176.10/93.84 | (302) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (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))
% 176.10/93.84 | (303) hAPP(all_0_39_39, all_0_47_47) = all_0_38_38
% 176.10/93.84 | (304) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_51_51 | ~ (c_RealVector_Onorm__class_Onorm(v0, v1) = v2) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_RealVector_Oreal__normed__algebra__1(v0))
% 176.10/93.84 | (305) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2))
% 176.10/93.84 | (306) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v1, v0))
% 176.10/93.84 | (307) ? [v0] : ! [v1] : ( ~ class_Orderings_Olinorder(v1) | c_Orderings_Oord__class_Oless(v1, v0, v0) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 176.10/93.84 | (308) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1))
% 176.10/93.84 | (309) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0))
% 176.10/93.84 | (310) hAPP(all_0_7_7, c_Complex_Oii) = all_0_9_9
% 176.10/93.84 | (311) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_20_20) = v2) | ~ class_Int_Onumber__ring(v1) | ? [v4] : ? [v5] : (( ~ c_Int_Oiszero(v1, v3) | (v5 = v4 & c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & c_Groups_Oone__class_Oone(v1) = v4)) & (c_Int_Oiszero(v1, v3) | ( ~ (v5 = v4) & c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & c_Groups_Oone__class_Oone(v1) = v5))))
% 176.10/93.84 | (312) ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, all_0_36_36)
% 176.10/93.84 | (313) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v5, v1) = v7) | ~ (hAPP(v4, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v0)))
% 176.10/93.84 | (314) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v5) = v6) | ~ (c_NthRoot_Osqrt(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_0_51_51, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_0_51_51, v2) = v3) | ~ (hAPP(v1, all_0_48_48) = v2) | ~ (hAPP(all_0_44_44, v0) = v1) | ? [v7] : ? [v8] : (c_Transcendental_Oarctan(v6) = v8 & c_Transcendental_Oarctan(v0) = v7 & hAPP(all_0_27_27, v8) = v7))
% 176.10/93.84 | (315) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ class_Groups_Ocomm__monoid__add(v1))
% 176.10/93.84 | (316) ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, c_Int_OMin) = v1) | ~ c_Int_Oiszero(v0, v1) | ~ class_Int_Onumber__ring(v0))
% 176.10/93.84 | (317) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ( ~ (v3 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3)) & (c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0))))
% 176.10/93.84 | (318) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v0) = v3) | ~ (c_Int_OBit1(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3))
% 176.10/93.84 | (319) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v0) = v3) | ~ (c_Int_OBit1(v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 176.10/93.84 | (320) ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_21_21, v0) = v1))
% 176.10/93.84 | (321) class_Groups_Oordered__comm__monoid__add(tc_RealDef_Oreal)
% 176.10/93.84 | (322) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v6) | c_Orderings_Oord__class_Oless__eq(v3, v7, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 176.10/93.84 | (323) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Complex_Ocomplex_Ocomplex__size(v2) = v1) | ~ (c_Complex_Ocomplex_Ocomplex__size(v2) = v0))
% 176.10/93.84 | (324) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_41_41 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v1) = v2))
% 176.10/93.84 | (325) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v4) = v5) | ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v4) | ~ (c_RealVector_Onorm__class_Onorm(v2, v0) = v3) | ~ class_RealVector_Oreal__normed__field(v2) | ? [v6] : ? [v7] : ((v7 = v5 & c_Rings_Oinverse__class_Odivide(v2, v0, v1) = v6 & c_RealVector_Onorm__class_Onorm(v2, v6) = v5) | (v6 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1)))
% 176.10/93.84 | (326) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 176.10/93.84 | (327) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v2, v4, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v6, v0))
% 176.10/93.84 | (328) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v4) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v3, v5) = v6) | ~ class_Int_Onumber__ring(v2) | ? [v8] : ? [v9] : ? [v10] : (c_Groups_Ouminus__class_Ouminus(v2, v8) = v9 & c_Int_Onumber__class_Onumber__of(v2, v1) = v8 & hAPP(v10, v0) = v7 & hAPP(v3, v9) = v10))
% 176.10/93.84 | (329) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1))
% 176.10/93.84 | (330) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v0) = v1) | ~ (c_Groups_Oone__class_Oone(v0) = v2) | ~ (hAPP(v1, v2) = v3) | ~ class_Rings_Osemiring__1(v0) | hAPP(v3, all_0_48_48) = v2)
% 176.10/93.84 | (331) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, all_0_36_36) = v2) | ~ (hAPP(all_0_37_37, v0) = v1) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v2))
% 176.10/93.84 | (332) ! [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))
% 176.10/93.84 | (333) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & c_Orderings_Oord__class_Oless(v1, v3, v2))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless(v1, v3, v2)))))
% 176.10/93.84 | (334) ! [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)))
% 176.10/93.84 | (335) ! [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))
% 176.10/93.84 | (336) ! [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))
% 176.10/93.84 | (337) ! [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))
% 176.10/93.84 | (338) ! [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_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_35_35, v8) = v9))
% 176.10/93.84 | (339) class_Rings_Olinordered__semiring__1__strict(tc_Int_Oint)
% 176.10/93.84 | (340) class_Rings_Olinordered__ring__strict(tc_RealDef_Oreal)
% 176.10/93.84 | (341) ? [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))
% 176.10/93.84 | (342) class_Rings_Oordered__cancel__semiring(tc_Nat_Onat)
% 176.10/93.84 | (343) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_36_36 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1))
% 176.10/93.84 | (344) class_Groups_Ocancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral)
% 176.10/93.84 | (345) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_0_41_41) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 176.10/93.85 | (346) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_47_47, v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1))
% 176.10/93.85 | (347) c_Int_OBit1(all_0_50_50) = all_0_30_30
% 176.10/93.85 | (348) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_35_35, v3) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6))
% 176.10/93.85 | (349) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_35_35, v3) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v5, v6) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 176.10/93.85 | (350) class_Groups_Ozero(tc_Complex_Ocomplex)
% 176.10/93.85 | (351) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v1))
% 176.10/93.85 | (352) class_Rings_Oidom(tc_RealDef_Oreal)
% 176.10/93.85 | (353) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Groups_Oordered__comm__monoid__add(v3) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless__eq(v3, v5, v2)))
% 176.10/93.85 | (354) class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex)
% 176.10/93.85 | (355) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(all_0_35_35, v5) = v6) | ~ (hAPP(all_0_35_35, v3) = v4) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls) | ? [v9] : ? [v10] : ? [v11] : ? [v12] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v10) = v11 & hAPP(v12, v0) = v8 & hAPP(v9, v1) = v10 & hAPP(all_0_35_35, v11) = v12 & hAPP(all_0_39_39, v2) = v9))
% 176.10/93.85 | (356) ! [v0] : ! [v1] : (v1 = all_0_36_36 | v0 = all_0_36_36 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_46_46))
% 176.10/93.85 | (357) ! [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))
% 176.10/93.85 | (358) ! [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))
% 176.10/93.85 | (359) c_Complex_Ocomplex_OComplex(all_0_41_41, all_0_51_51) = c_Complex_Oii
% 176.10/93.85 | (360) ! [v0] : ! [v1] : (v0 = all_0_51_51 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = c_Complex_Oii))
% 176.10/93.85 | (361) class_RealVector_Oreal__normed__algebra(tc_RealDef_Oreal)
% 176.10/93.85 | (362) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Int_Onumber__ring(v1) | c_Groups_Ouminus__class_Ouminus(v1, v0) = v5)
% 176.10/93.85 | (363) ! [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_35_35, v1) = v6) | ~ class_Rings_Ocomm__semiring__1(v3) | ? [v9] : ? [v10] : (hAPP(v10, v0) = v8 & hAPP(v5, v1) = v9 & hAPP(v4, v9) = v10))
% 176.10/93.85 | (364) ! [v0] : ! [v1] : (v1 = all_0_36_36 | ~ (hAPP(all_0_22_22, v0) = v1))
% 176.10/93.85 | (365) class_Rings_Ono__zero__divisors(tc_Nat_Onat)
% 176.10/93.85 | (366) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v1) = v2) | ~ (c_Nat_OSuc(v0) = v2))
% 176.10/93.85 | (367) class_Groups_Ozero(tc_Nat_Onat)
% 176.10/93.85 | (368) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_35_35, v0) = v4) | ~ (hAPP(all_0_35_35, v0) = v2))
% 176.10/93.85 | (369) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_46_46 | ~ (hAPP(v1, all_0_36_36) = v2) | ~ (hAPP(all_0_15_15, v0) = v1))
% 176.10/93.85 | (370) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Int_OBit0(v2) = v1) | ~ (c_Int_OBit0(v2) = v0))
% 176.10/93.85 | (371) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_36_36 | v0 = all_0_36_36 | ~ (hAPP(v2, v0) = all_0_36_36) | ~ (hAPP(all_0_35_35, v1) = v2))
% 176.10/93.85 | (372) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Oorder(v2) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 176.10/93.85 | (373) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_37_37, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v3))
% 176.10/93.85 | (374) ! [v0] : ~ (c_Nat_OSuc(v0) = all_0_36_36)
% 176.10/93.85 | (375) ! [v0] : ! [v1] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v1) | ~ class_Rings_Osemiring__1(v0) | c_Int_Oiszero(v0, v1))
% 176.10/93.85 | (376) class_Rings_Osemiring__0(tc_RealDef_Oreal)
% 176.10/93.85 | (377) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ class_Rings_Ocomm__semiring__1(v1))
% 176.10/93.85 | (378) class_Rings_Osemiring__1(tc_RealDef_Oreal)
% 176.10/93.85 | (379) class_Groups_Oone(tc_Nat_Onat)
% 176.10/93.85 | (380) ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, c_Int_OPls) = v1) | ~ class_Int_Onumber__ring(v0) | c_Groups_Ozero__class_Ozero(v0) = v1)
% 176.10/93.85 | (381) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0))
% 176.10/93.85 | (382) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v3) | (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, v1, v4) & c_Orderings_Oord__class_Oless__eq(v2, v0, v4))) & (c_Orderings_Oord__class_Oless__eq(v2, v4, v3) | (( ~ 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, v1, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4))))))
% 176.10/93.85 | (383) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (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))
% 176.10/93.85 | (384) ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_0_50_50) = v1) | ~ class_Int_Onumber__ring(v0) | c_Groups_Oone__class_Oone(v0) = v1)
% 176.10/93.85 | (385) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v0) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless__eq(v3, v5, v0) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) | c_Orderings_Oord__class_Oless__eq(v3, v2, v8)) & (c_Orderings_Oord__class_Oless(v3, v9, v4) | (( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless__eq(v3, v8, v2)) & (c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless__eq(v3, v9, v0)))))) & (c_Orderings_Oord__class_Oless__eq(v3, v5, v0) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v4) & ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) & ((c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2)) | ( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v0)))))))))
% 176.10/93.85 | (386) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_48_48) = v1) | ? [v2] : (c_Nat_OSuc(v2) = v1 & c_Nat_OSuc(v0) = v2))
% 176.10/93.85 | (387) ~ (all_0_42_42 = c_Complex_Oii)
% 176.10/93.85 | (388) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ (hAPP(all_0_37_37, v2) = v3) | ~ (hAPP(all_0_39_39, v4) = v5) | ? [v8] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v8 & hAPP(v3, v8) = v7))
% 176.10/93.85 | (389) ! [v0] : ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v0) = c_Complex_Oii)
% 176.10/93.85 | (390) class_Rings_Odivision__ring(tc_Complex_Ocomplex)
% 176.10/93.85 | (391) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_36_36) = v1))
% 176.10/93.85 | (392) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1))
% 176.10/93.85 | (393) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = all_0_36_36 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(all_0_35_35, v5) = v6) | ~ (hAPP(all_0_35_35, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls))
% 176.10/93.85 | (394) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (c_RealVector_Onorm__class_Onorm(v4, v7) = v8) | ~ (hAPP(v9, v0) = v10) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(all_0_40_40, v2) = v9) | ~ class_RealVector_Oreal__normed__algebra(v4) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v10) | ? [v11] : ((c_RealVector_Onorm__class_Onorm(v4, v3) = v11 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v2)) | (c_RealVector_Onorm__class_Onorm(v4, v1) = v11 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v11, v0))))
% 176.10/93.85 | (395) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 176.10/93.85 | (396) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v2, v0) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Fields_Ofield__inverse__zero(v1) | ~ class_Int_Onumber__ring(v1) | ? [v5] : (c_Rings_Oinverse__class_Odivide(v1, v5, v0) = v4 & c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v5))
% 176.10/93.85 | (397) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ? [v5] : (c_Int_OBit1(v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5))
% 176.10/93.86 | (398) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit0(v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ? [v5] : (c_Int_OBit0(v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5))
% 176.10/93.86 | (399) ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ? [v2] : ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v2) = v3 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v3 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v2))
% 176.10/93.86 | (400) class_Rings_Olinordered__semidom(tc_RealDef_Oreal)
% 176.10/93.86 | (401) ! [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))
% 176.10/93.86 | (402) ~ (all_0_47_47 = c_Int_OPls)
% 176.10/93.86 | (403) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, all_0_36_36) = v2) | ~ (hAPP(all_0_15_15, v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2))
% 176.10/93.86 | (404) ! [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))))
% 176.10/93.86 | (405) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v4) = v5) | ~ (hAPP(v2, v1) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, v1) = v5)
% 176.10/93.86 | (406) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_47_47 | v0 = all_0_12_12 | ~ (hAPP(v2, v0) = all_0_47_47) | ~ (hAPP(all_0_39_39, v1) = v2))
% 176.10/93.86 | (407) ! [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)))
% 176.10/93.86 | (408) c_Groups_Otimes__class_Otimes(tc_RealDef_Oreal) = all_0_40_40
% 176.10/93.86 | (409) class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex)
% 176.10/93.86 | (410) ! [v0] : (v0 = all_0_51_51 | ~ (c_NthRoot_Osqrt(v0) = all_0_51_51))
% 176.10/93.86 | (411) ! [v0] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_47_47, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0))
% 176.10/93.86 | (412) ! [v0] : ( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_47_47, v0))
% 176.10/93.86 | (413) c_Nat_OSuc(all_0_48_48) = all_0_29_29
% 176.10/93.86 | (414) class_Rings_Odivision__ring(tc_RealDef_Oreal)
% 176.10/93.86 | (415) class_Rings_Oring__1(tc_RealDef_Oreal)
% 176.10/93.86 | (416) ? [v0] : ? [v1] : (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, v1))
% 176.10/93.86 | (417) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v3) | ~ class_Int_Oring__char__0(v2) | ~ class_Int_Onumber__ring(v2))
% 176.10/93.86 | (418) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_39_39, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, all_0_47_47, v0))
% 176.10/93.86 | (419) c_Int_OBit0(all_0_50_50) = all_0_49_49
% 176.10/93.86 | (420) ! [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] : ((c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0)) | (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v8))))
% 176.10/93.86 | (421) c_Groups_Otimes__class_Otimes(tc_Nat_Onat) = all_0_35_35
% 176.10/93.86 | (422) c_Int_OBit0(all_0_49_49) = all_0_26_26
% 176.10/93.86 | (423) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v0, v4) = v5) | ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~ (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))
% 176.10/93.86 | (424) c_Groups_Otimes__class_Otimes(tc_Complex_Ocomplex) = all_0_8_8
% 176.10/93.86 | (425) ! [v0] : (v0 = all_0_41_41 | ~ (c_NthRoot_Osqrt(v0) = all_0_41_41))
% 176.10/93.86 | (426) class_Groups_Oone(tc_RealDef_Oreal)
% 176.10/93.86 | (427) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v6) = v7) | ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (c_Groups_Oone__class_Oone(v2) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Ofield__inverse__zero(v2) | ? [v8] : ? [v9] : (c_Rings_Oinverse__class_Odivide(v2, v3, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(v4, v8) = v9))
% 176.10/93.86 | (428) class_Rings_Oring__no__zero__divisors(tc_RealDef_Oreal)
% 176.10/93.86 | (429) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Complex_Ocomplex_Ocomplex__rec(v3, v2, v4) = v5) | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v4) | ? [v6] : (hAPP(v6, v0) = v5 & hAPP(v2, v1) = v6))
% 176.10/93.86 | (430) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_35_35, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6))
% 176.10/93.86 | (431) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v6) | ~ (hAPP(all_0_35_35, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v5, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 176.10/93.86 | (432) class_Groups_Omonoid__mult(tc_Nat_Onat)
% 176.10/93.86 | (433) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_51_51) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_51_51))
% 176.10/93.86 | (434) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_51_51) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_51_51))
% 176.10/93.86 | (435) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_49_49) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Int_Onumber__ring(v1) | c_Groups_Oplus__class_Oplus(v1, v0, v0) = v5)
% 176.10/93.86 | (436) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v1 | ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v0) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Odivision__ring(v3) | c_Groups_Ozero__class_Ozero(v3) = v2)
% 176.10/93.86 | (437) class_Groups_Oab__group__add(tc_Complex_Ocomplex)
% 176.10/93.86 | (438) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5))
% 176.10/93.86 | (439) ! [v0] : (v0 = all_0_41_41 | ~ (c_NthRoot_Osqrt(v0) = all_0_41_41) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0))
% 176.10/93.86 | (440) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v2) | ~ (c_Power_Opower__class_Opower(v0) = v1) | ~ (hAPP(v1, v2) = v3) | ~ class_Rings_Osemiring__1(v0) | hAPP(v3, all_0_48_48) = v2)
% 176.10/93.86 | (441) class_Rings_Omult__zero(tc_RealDef_Oreal)
% 176.10/93.86 | (442) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (hAPP(v4, all_0_36_36) = v5) | ~ (hAPP(v2, all_0_36_36) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ (hAPP(all_0_35_35, v0) = v4))
% 176.10/93.86 | (443) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1))
% 176.10/93.86 | (444) class_Orderings_Oorder(tc_Nat_Onat)
% 176.10/93.86 | (445) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ class_Rings_Olinordered__semidom(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | ? [v6] : ? [v7] : ((c_Groups_Ozero__class_Ozero(v2) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0)) | (hAPP(v5, all_0_48_48) = v7 & hAPP(v4, all_0_48_48) = v6 & ~ c_Orderings_Oord__class_Oless(v2, v6, v7))))
% 176.10/93.86 | (446) ! [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] : ((v3 = v2 | v1 = v0 | ( ~ (v13 = v10) & c_Groups_Oplus__class_Oplus(v4, v11, v12) = v13 & hAPP(v7, v0) = v12 & hAPP(v6, v1) = v11)) & ((v13 = v10 & c_Groups_Oplus__class_Oplus(v4, v11, v12) = v10 & hAPP(v7, v0) = v12 & hAPP(v6, v1) = v11) | ( ~ (v3 = v2) & ~ (v1 = v0)))))
% 176.10/93.86 | (447) ! [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))
% 176.10/93.86 | (448) ! [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)))
% 176.10/93.86 | (449) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Omonoid__mult(v1))
% 176.10/93.86 | (450) class_Rings_Osemiring(tc_Complex_Ocomplex)
% 176.10/93.86 | (451) class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)
% 176.10/93.86 | (452) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v1) | ~ (hAPP(v5, v0) = v6) | ~ class_Rings_Odivision__ring(v3) | c_Groups_Ozero__class_Ozero(v3) = v2)
% 176.10/93.86 | (453) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__idom(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & ~ c_Orderings_Oord__class_Oless(v2, v8, v9)))
% 176.10/93.86 | (454) ! [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))
% 176.10/93.87 | (455) hAPP(all_0_40_40, all_0_28_28) = all_0_27_27
% 176.10/93.87 | (456) class_Groups_Ogroup__add(tc_RealDef_Oreal)
% 176.10/93.87 | (457) ! [v0] : ! [v1] : (v0 = all_0_41_41 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = all_0_42_42))
% 176.10/93.87 | (458) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v7] : ( ~ (v7 = v0) & c_NthRoot_Osqrt(v6) = v7))
% 176.10/93.87 | (459) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls))
% 176.10/93.87 | (460) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls))
% 176.10/93.87 | (461) c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, c_Int_OPls) = all_0_34_34
% 176.10/93.87 | (462) ! [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))))
% 176.10/93.87 | (463) ! [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))))
% 176.45/93.87 | (464) ! [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_35_35, v3) = v4) | ~ (hAPP(all_0_35_35, 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_35_35, v10) = v11))
% 176.45/93.87 | (465) ! [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)))
% 176.45/93.87 | (466) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_50_50) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Int_Onumber__ring(v1))
% 176.45/93.87 | (467) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_0_47_47) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 176.45/93.87 | (468) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, all_0_47_47) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v0))
% 176.45/93.87 | (469) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v7, v9) = v10) | ~ (hAPP(v8, v5) = v9) | ~ (hAPP(v6, v5) = v7) | ~ (hAPP(v4, v2) = v6) | ~ (hAPP(v4, v1) = v8) | ~ class_Rings_Osemiring(v3) | ~ class_Int_Onumber(v3) | ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v11 & hAPP(v12, v5) = v10 & hAPP(v4, v11) = v12))
% 176.45/93.87 | (470) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_0_49_49) = all_0_28_28
% 176.45/93.87 | (471) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v5] : (c_Groups_Ozero__class_Ozero(v3) = v5 & ~ c_Orderings_Oord__class_Oless(v3, v5, v2)))
% 176.45/93.87 | (472) class_Groups_Oordered__comm__monoid__add(tc_Code__Numeral_Ocode__numeral)
% 176.45/93.87 | (473) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Omult__zero(v1))
% 176.45/93.87 | (474) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v3, v2) = v4) | ~ class_Groups_Omonoid__mult(v1) | ~ class_Int_Onumber(v1) | ? [v6] : ? [v7] : (c_Power_Opower__class_Opower(v1) = v6 & hAPP(v7, all_0_48_48) = v5 & hAPP(v6, v2) = v7))
% 176.45/93.87 | (475) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__idom(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))))
% 176.45/93.87 | (476) ! [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] : ((v3 = v1 | v2 = v0 | ( ~ (v13 = v10) & c_Groups_Oplus__class_Oplus(v4, v11, v12) = v13 & hAPP(v7, v0) = v12 & hAPP(v6, v2) = v11)) & ((v13 = v10 & c_Groups_Oplus__class_Oplus(v4, v11, v12) = v10 & hAPP(v7, v0) = v12 & hAPP(v6, v2) = v11) | ( ~ (v3 = v1) & ~ (v2 = v0)))))
% 176.45/93.87 | (477) class_Orderings_Oorder(tc_Int_Oint)
% 176.45/93.87 | (478) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1))
% 176.45/93.87 | (479) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v2, v0) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v4, v5))
% 176.45/93.87 | (480) ! [v0] : ! [v1] : (v1 = all_0_51_51 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = all_0_32_32))
% 176.45/93.87 | (481) class_RealVector_Oreal__normed__vector(tc_RealDef_Oreal)
% 176.45/93.87 | (482) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Oorder(v1) | class_Orderings_Oorder(v2))
% 176.45/93.87 | (483) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Nat_OSuc(v0) = v2) | ~ (c_Nat_OSuc(v0) = v1))
% 176.45/93.87 | (484) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Ozero__class_Ozero(v2) = v1) | ~ (c_Groups_Ozero__class_Ozero(v2) = v0))
% 176.45/93.87 | (485) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ozero__class_Ozero(v0) = v2) | ~ (c_Power_Opower__class_Opower(v0) = v1) | ~ (hAPP(v3, all_0_36_36) = v4) | ~ (hAPP(v1, v2) = v3) | ~ class_Rings_Osemiring__0(v0) | ~ class_Power_Opower(v0) | c_Groups_Oone__class_Oone(v0) = v4)
% 176.45/93.87 | (486) c_Int_OBit1(c_Int_OMin) = c_Int_OMin
% 176.45/93.87 | (487) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(v1, v0, v2) | (c_Groups_Ozero__class_Ozero(v1) = v3 & c_Orderings_Oord__class_Oless(v1, v0, v3))) & (c_Orderings_Oord__class_Oless(v1, v0, v2) | (c_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless(v1, v0, v3)))))
% 176.45/93.87 | (488) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Rings_Oinverse__class_Odivide(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_RealVector_Oreal__normed__field(v1))
% 176.45/93.87 | (489) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_39_39, v1) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v3))
% 176.45/93.87 | (490) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_0_28_28) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(all_0_44_44, v1) = v4) | ~ (hAPP(all_0_44_44, v0) = v6) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0) | ? [v9] : (c_NthRoot_Osqrt(v8) = v9 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v2)))
% 176.45/93.87 | (491) ! [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))))
% 176.45/93.87 | (492) ! [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))
% 176.45/93.87 | (493) class_Int_Oring__char__0(tc_RealDef_Oreal)
% 176.45/93.87 | (494) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v2) = all_0_41_41))
% 176.45/93.87 | (495) class_Groups_Oab__semigroup__mult(tc_Code__Numeral_Ocode__numeral)
% 176.45/93.87 | (496) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (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))
% 176.45/93.87 | (497) ! [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)))
% 176.45/93.87 | (498) class_Groups_Ocancel__semigroup__add(tc_Int_Oint)
% 176.45/93.87 | (499) ! [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))
% 176.45/93.88 | (500) ! [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))
% 176.45/93.88 | (501) ! [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))
% 176.45/93.88 | (502) class_Groups_Oab__semigroup__add(tc_Int_Oint)
% 176.45/93.88 | (503) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, v0) = v1) | c_Int_OBit0(v0) = v1)
% 176.45/93.88 | (504) ! [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))
% 176.45/93.88 | (505) class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat)
% 176.45/93.88 | (506) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 176.45/93.88 | (507) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v6) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v1) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Odivision__ring(v3) | c_Groups_Ozero__class_Ozero(v3) = v2)
% 176.45/93.88 | (508) class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex)
% 176.45/93.88 | (509) ! [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))
% 176.45/93.88 | (510) class_Rings_Oordered__comm__semiring(tc_Nat_Onat)
% 176.45/93.88 | (511) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1) | ? [v5] : ? [v6] : (c_Power_Opower__class_Opower(v1) = v5 & hAPP(v6, all_0_48_48) = v4 & hAPP(v5, v0) = v6))
% 176.45/93.88 | (512) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Complex_Ocomplex_OComplex(v3, v2) = v1) | ~ (c_Complex_Ocomplex_OComplex(v3, v2) = v0))
% 176.45/93.88 | (513) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 176.45/93.88 | (514) class_Groups_Ocancel__semigroup__add(tc_RealDef_Oreal)
% 176.45/93.88 | (515) c_Power_Opower__class_Opower(tc_Int_Oint) = all_0_37_37
% 176.45/93.88 | (516) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v2))
% 176.51/93.88 | (517) class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint)
% 176.51/93.88 | (518) class_Rings_Olinordered__semiring__1(tc_Int_Oint)
% 176.51/93.88 | (519) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : (v8 = v4 | ~ (c_Nat_OSuc(v6) = v7) | ~ (c_Groups_Ouminus__class_Ouminus(v1, v3) = v4) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v5, v7) = v8) | ~ (hAPP(v2, v4) = v5) | ~ (hAPP(all_0_31_31, v0) = v6) | ~ class_Rings_Oring__1(v1))
% 176.51/93.88 | (520) class_Orderings_Olinorder(tc_Nat_Onat)
% 176.51/93.88 | (521) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))
% 176.51/93.88 | (522) class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex)
% 176.51/93.88 | (523) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(all_0_16_16, v1) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | ? [v3] : ( ~ (v3 = v0) & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, all_0_47_47) = v3))
% 176.51/93.88 | (524) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_36_36 | ~ (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)))
% 176.51/93.88 | (525) ! [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))
% 176.51/93.88 | (526) class_Orderings_Oord(tc_HOL_Obool)
% 176.51/93.88 | (527) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_50_50) | (c_Groups_Oone__class_Oone(v1) = v3 & c_Orderings_Oord__class_Oless__eq(v1, v2, v3))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_50_50) | (c_Groups_Oone__class_Oone(v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v3)))))
% 176.51/93.88 | (528) ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_36_36)
% 176.51/93.88 | (529) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v4) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v6) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v3, v4) = v5) | ~ class_Int_Onumber__ring(v2) | ? [v8] : ? [v9] : (c_Int_Onumber__class_Onumber__of(v2, v9) = v7 & hAPP(v8, v0) = v9 & hAPP(all_0_39_39, v1) = v8))
% 176.51/93.88 | (530) ! [v0] : ( ~ (c_NthRoot_Osqrt(v0) = all_0_41_41) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v0))
% 176.51/93.88 | (531) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_35_35, v0) = v1) | ? [v2] : (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v0) = v2 & hAPP(v1, all_0_48_48) = v2))
% 176.51/93.88 | (532) class_Groups_Oab__semigroup__add(tc_Code__Numeral_Ocode__numeral)
% 176.51/93.88 | (533) hAPP(all_0_39_39, c_Int_OPls) = all_0_33_33
% 176.51/93.88 | (534) ! [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))
% 176.51/93.88 | (535) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v0) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6))
% 176.51/93.88 | (536) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v6, v8) = v9) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v7, v2) = v8) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v7) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v10] : ((v10 = v9 & c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v9) | (v10 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2)))
% 176.51/93.88 | (537) c_Groups_Oone__class_Oone(tc_Complex_Ocomplex) = all_0_32_32
% 176.51/93.88 | (538) class_Groups_Omonoid__mult(tc_Complex_Ocomplex)
% 176.51/93.88 | (539) class_Rings_Olinordered__semidom(tc_Nat_Onat)
% 176.51/93.88 | (540) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Int_OBit0(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_39_39, v1) = v2) | ? [v6] : ? [v7] : (c_Int_OBit1(v1) = v6 & hAPP(v7, v0) = v5 & hAPP(all_0_39_39, v6) = v7))
% 176.51/93.88 | (541) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Nat_OSuc(v5) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Rings_Olinordered__idom(v2) | ? [v8] : (c_Groups_Ozero__class_Ozero(v2) = v8 & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v8, v7) | c_Orderings_Oord__class_Oless__eq(v2, v8, v1))))
% 176.51/93.88 | (542) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Nat_Osize__class_Osize(v3, v2) = v1) | ~ (c_Nat_Osize__class_Osize(v3, v2) = v0))
% 176.51/93.88 | (543) ! [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))
% 176.51/93.88 | (544) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_47_47 | ~ (hAPP(v2, v0) = all_0_47_47) | ~ (hAPP(all_0_39_39, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1))
% 176.51/93.88 | (545) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Power_Opower_Opower(v4, v3, v2) = v1) | ~ (c_Power_Opower_Opower(v4, v3, v2) = v0))
% 176.51/93.88 | (546) c_Int_OBit0(c_Int_OPls) = c_Int_OPls
% 176.51/93.88 | (547) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3))
% 176.51/93.88 | (548) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 176.51/93.88 | (549) ! [v0] : ! [v1] : ! [v2] : ( ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_35_35, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v2))
% 176.51/93.88 | (550) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, c_Int_OMin)
% 176.51/93.88 | (551) ! [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))))
% 176.51/93.88 | (552) ! [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))))
% 176.51/93.88 | (553) ! [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))
% 176.51/93.89 | (554) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v5) = v6) | ~ (c_Groups_Otimes__class_Otimes(v2) = v4) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (c_Groups_Oone__class_Oone(v2) = v5) | ~ (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))
% 176.51/93.89 | (555) class_Rings_Omult__zero(tc_Nat_Onat)
% 176.51/93.89 | (556) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ class_Groups_Ocomm__monoid__add(v1))
% 176.51/93.89 | (557) hAPP(all_0_44_44, v_x____) = all_0_6_6
% 176.51/93.89 | (558) ! [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))
% 176.51/93.89 | (559) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v3))
% 176.51/93.89 | (560) class_Groups_Ocomm__monoid__add(tc_Code__Numeral_Ocode__numeral)
% 176.51/93.89 | (561) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit0(v0) = v2))
% 176.51/93.89 | (562) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_0_41_41) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 176.51/93.89 | (563) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v6, v4) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v0) | c_Orderings_Oord__class_Oless__eq(v3, v8, v1)) & (c_Orderings_Oord__class_Oless(v3, v9, v0) | (( ~ c_Orderings_Oord__class_Oless(v3, v0, v9) | c_Orderings_Oord__class_Oless__eq(v3, v1, v8)) & (c_Orderings_Oord__class_Oless(v3, v0, v9) | c_Orderings_Oord__class_Oless__eq(v3, v4, v9)))))) & (c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v0) & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v1)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v0) & ((c_Orderings_Oord__class_Oless(v3, v0, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v0, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v9)))))))))
% 176.51/93.89 | (564) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v3) = v4) | ~ (hAPP(v2, all_0_41_41) = v3) | ~ (hAPP(v0, all_0_41_41) = v1) | ~ (hAPP(all_0_40_40, all_0_41_41) = v2) | ~ (hAPP(all_0_40_40, all_0_41_41) = v0))
% 176.51/93.89 | (565) class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex)
% 176.51/93.89 | (566) class_Rings_Olinordered__idom(tc_RealDef_Oreal)
% 176.51/93.89 | (567) class_Power_Opower(tc_Int_Oint)
% 176.51/93.89 | (568) ! [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))
% 176.51/93.89 | (569) ! [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)
% 176.51/93.89 | (570) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_0_41_41) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_0_41_41))
% 176.51/93.89 | (571) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_0_41_41) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_0_41_41))
% 176.51/93.89 | (572) ! [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))
% 176.51/93.89 | (573) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v6, v0) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Rings_Odivision__ring(v3) | ? [v8] : (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v8 & hAPP(v5, v8) = v7))
% 176.51/93.89 | (574) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (tc_fun(v3, v2) = v1) | ~ (tc_fun(v3, v2) = v0))
% 176.51/93.89 | (575) ! [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)
% 176.51/93.89 | (576) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(v2, v1, v3) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v0, v4))
% 176.51/93.89 | (577) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex)
% 176.51/93.89 | (578) ? [v0] : ? [v1] : (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, v1))
% 176.51/93.89 | (579) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v5) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v6, v5) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v1) | c_Orderings_Oord__class_Oless(v3, v2, v8)) & (c_Orderings_Oord__class_Oless(v3, v9, v1) | (( ~ c_Orderings_Oord__class_Oless(v3, v1, v9) | c_Orderings_Oord__class_Oless(v3, v8, v2)) & (c_Orderings_Oord__class_Oless(v3, v9, v5) | c_Orderings_Oord__class_Oless(v3, v1, v9)))))) & (c_Orderings_Oord__class_Oless(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v1) & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v1) & ((c_Orderings_Oord__class_Oless(v3, v1, v9) & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v5) & ~ c_Orderings_Oord__class_Oless(v3, v1, v9)))))))))
% 176.51/93.89 | (580) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_50_50, v2) = v3) | ~ class_Int_Onumber__ring(v1) | ? [v5] : ? [v6] : (( ~ c_Int_Oiszero(v1, v4) | (v6 = v5 & c_Int_Onumber__class_Onumber__of(v1, v0) = v5 & c_Groups_Oone__class_Oone(v1) = v5)) & (c_Int_Oiszero(v1, v4) | ( ~ (v6 = v5) & c_Int_Onumber__class_Onumber__of(v1, v0) = v6 & c_Groups_Oone__class_Oone(v1) = v5))))
% 176.51/93.89 | (581) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Rings_Oinverse__class_Odivide(v1, v2, v0) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Odivision__ring(v1))
% 176.51/93.89 | (582) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Oabs__class_Oabs(v3, v2) = v1) | ~ (c_Groups_Oabs__class_Oabs(v3, v2) = v0))
% 176.51/93.89 | (583) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_35_35, v4) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_35_35, v1) = v7))
% 176.51/93.89 | (584) class_Groups_Oordered__cancel__ab__semigroup__add(tc_RealDef_Oreal)
% 176.51/93.89 | (585) ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OMin)
% 176.51/93.89 | (586) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v0, v1))
% 176.51/93.89 | (587) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v2) | c_Complex_Ocomplex_Ocomplex__size(v2) = all_0_36_36)
% 176.51/93.89 | (588) class_Groups_Oab__semigroup__add(tc_Nat_Onat)
% 176.51/93.89 | (589) class_Groups_Ogroup__add(tc_Complex_Ocomplex)
% 176.51/93.89 | (590) class_Rings_Olinordered__semiring__1__strict(tc_RealDef_Oreal)
% 176.51/93.89 | (591) ! [v0] : ~ (c_Nat_OSuc(v0) = v0)
% 176.51/93.89 | (592) ! [v0] : ( ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | ? [v1] : hAPP(all_0_16_16, v1) = v0)
% 176.51/93.89 | (593) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_0_41_41) | ~ class_RealVector_Oreal__normed__vector(v1))
% 176.51/93.89 | (594) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OPls) = c_Int_OPls
% 176.51/93.89 | (595) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(v2) | ? [v4] : (( ~ (v3 = v1) | (v4 = v0 & c_Groups_Ozero__class_Ozero(v2) = v0)) & (v3 = v1 | ( ~ (v4 = v0) & c_Groups_Ozero__class_Ozero(v2) = v4))))
% 176.51/93.89 | (596) ! [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)))
% 176.51/93.89 | (597) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, c_Int_OPls)
% 176.51/93.89 | (598) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v4) | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v4, v5) = v6) | ~ class_RealVector_Oreal__normed__field(v3) | ? [v7] : (c_Rings_Oinverse__class_Odivide(v3, v7, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v7))
% 176.51/93.89 | (599) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (c_RealVector_Onorm__class_Onorm(v2, v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_40_40, v3) = v4) | ~ class_RealVector_Oreal__normed__div__algebra(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v2) = v7 & c_RealVector_Onorm__class_Onorm(v2, v9) = v6 & hAPP(v8, v0) = v9 & hAPP(v7, v1) = v8))
% 176.51/93.89 | (600) c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, c_Int_OMin) = all_0_9_9
% 176.51/93.89 | (601) ! [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_39_39, v2) = v3) | ? [v7] : (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v7 & hAPP(v3, v7) = v6))
% 176.51/93.89 | (602) ! [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))))
% 176.51/93.89 | (603) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v1) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Rings_Odivision__ring(v3) | c_Groups_Ozero__class_Ozero(v3) = v2)
% 176.51/93.89 | (604) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls) | ? [v6] : ? [v7] : (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v7) = v5 & hAPP(v6, v0) = v7 & hAPP(all_0_39_39, v1) = v6))
% 176.51/93.90 | (605) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v9) | ~ (c_Int_Onumber__class_Onumber__of(v2, all_0_49_49) = v10) | ~ (c_Groups_Oplus__class_Oplus(v2, v8, v14) = v15) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v13, v0) = v14) | ~ (hAPP(v11, v1) = v12) | ~ (hAPP(v9, v12) = v13) | ~ (hAPP(v9, v10) = v11) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Int_Onumber__ring(v2) | ? [v16] : ? [v17] : (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v16 & hAPP(v17, all_0_48_48) = v15 & hAPP(v3, v16) = v17))
% 176.51/93.90 | (606) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_RealVector_Oreal__normed__algebra__1(v1) | ~ class_Int_Onumber__ring(v1) | ? [v4] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v4) = v3 & c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v0) = v4))
% 176.51/93.90 | (607) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v0) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless(v3, v5, v0) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) | c_Orderings_Oord__class_Oless(v3, v2, v8)) & (c_Orderings_Oord__class_Oless(v3, v9, v4) | (( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless(v3, v8, v2)) & (c_Orderings_Oord__class_Oless(v3, v9, v0) | c_Orderings_Oord__class_Oless(v3, v4, v9)))))) & (c_Orderings_Oord__class_Oless(v3, v5, v0) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v4) & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) & ((c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v0) & ~ c_Orderings_Oord__class_Oless(v3, v4, v9)))))))))
% 176.51/93.90 | (608) ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_23_23, v0) = v1))
% 176.51/93.90 | (609) ! [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))))
% 176.51/93.90 | (610) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_40_40, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v6))
% 176.51/93.90 | (611) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3] : (( ~ (v2 = all_0_41_41) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0)) & (v2 = all_0_41_41 | ( ~ (v3 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3))))
% 176.51/93.90 | (612) ! [v0] : ! [v1] : (v1 = v0 | ~ (hAPP(all_0_38_38, v0) = v1))
% 176.51/93.90 | (613) class_Rings_Osemiring(tc_Code__Numeral_Ocode__numeral)
% 176.51/93.90 | (614) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ c_Orderings_Oord__class_Oless(v3, v6, v8) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v2, v0) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v0)))
% 176.51/93.90 | (615) class_Rings_Oring(tc_RealDef_Oreal)
% 176.51/93.90 | (616) c_Groups_Ozero__class_Ozero(tc_Code__Numeral_Ocode__numeral) = all_0_34_34
% 176.51/93.90 | (617) class_Orderings_Olinorder(tc_RealDef_Oreal)
% 176.51/93.90 | (618) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v1) = v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6))
% 176.51/93.90 | (619) class_Groups_Ozero(tc_Int_Oint)
% 176.51/93.90 | (620) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v4) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))))
% 176.51/93.90 | (621) ? [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))
% 176.51/93.90 | (622) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Complex_Ocomplex_Ocomplex__rec(v4, v3, v2) = v1) | ~ (c_Complex_Ocomplex_Ocomplex__rec(v4, v3, v2) = v0))
% 176.51/93.90 | (623) ! [v0] : ! [v1] : ! [v2] : (v2 = c_Int_OPls | ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2))
% 176.51/93.90 | (624) ! [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))
% 176.51/93.90 | (625) class_Orderings_Oorder(tc_Code__Numeral_Ocode__numeral)
% 176.51/93.90 | (626) ! [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))
% 176.51/93.90 | (627) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Oorder(v2))
% 176.51/93.90 | (628) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) = all_0_51_51
% 176.51/93.90 | (629) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_0_50_50) = all_0_46_46
% 176.51/93.90 | (630) class_Int_Onumber(tc_Nat_Onat)
% 176.51/93.90 | (631) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v1) | ~ (c_Groups_Ouminus__class_Ouminus(v3, v2) = v0))
% 176.51/93.90 | (632) ! [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))
% 176.51/93.90 | (633) ! [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))
% 176.51/93.90 | (634) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OMin))
% 176.51/93.90 | (635) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OMin))
% 176.51/93.90 | (636) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2))
% 176.51/93.90 | (637) c_Int_Onumber__class_Onumber__of(tc_Int_Oint, c_Int_OMin) = all_0_12_12
% 176.51/93.90 | (638) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(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, v4, v3))))
% 176.51/93.90 | (639) ! [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))))
% 176.51/93.90 | (640) ! [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))
% 176.51/93.90 | (641) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v1) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v0))
% 176.51/93.90 | (642) ! [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))
% 176.51/93.90 | (643) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Opreorder(v2))
% 176.51/93.90 | (644) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v3))
% 176.51/93.90 | (645) c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex) = all_0_42_42
% 176.51/93.90 | (646) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1))
% 176.51/93.90 | (647) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0))
% 176.51/93.90 | (648) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v0, v3) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ class_Rings_Odivision__ring(v2) | ? [v5] : ? [v6] : ((v6 = v4 & c_Rings_Oinverse__class_Odivide(v2, v0, v1) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v5) = v4) | (v5 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1)))
% 176.51/93.90 | (649) ! [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))
% 176.51/93.90 | (650) ! [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))
% 176.51/93.90 | (651) ! [v0] : ! [v1] : (v0 = all_0_36_36 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_36_36))
% 176.51/93.90 | (652) ! [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))
% 176.51/93.90 | (653) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Power_Opower__class_Opower(v2) = v5) | ~ (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))
% 176.51/93.90 | (654) ! [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))
% 176.51/93.90 | (655) ! [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))
% 176.51/93.90 | (656) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 176.51/93.90 | (657) ! [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))
% 176.51/93.91 | (658) ! [v0] : (v0 = all_0_36_36 | v0 = all_0_46_46 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_48_48))
% 176.51/93.91 | (659) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Oring__1__no__zero__divisors(v1) | ? [v4] : ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v5 & ( ~ (v5 = v0) | (v4 = v0 & hAPP(v3, all_0_48_48) = v0)) & (v5 = v0 | ( ~ (v5 = v4) & hAPP(v3, all_0_48_48) = v4))))
% 176.51/93.91 | (660) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(tc_Complex_Ocomplex, v0) = v3) | c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, v0) = v2)
% 176.51/93.91 | (661) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_15_15, v1) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v4))
% 176.51/93.91 | (662) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v2, v0) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v4, v5))
% 176.51/93.91 | (663) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v7) | c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))
% 176.51/93.91 | (664) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | c_Orderings_Oord__class_Oless__eq(v3, v0, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))
% 176.51/93.91 | (665) ! [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_Orderings_Oord__class_Oless(v3, v6, v7) | (c_Groups_Ozero__class_Ozero(v3) = v8 & c_Orderings_Oord__class_Oless(v3, v8, v2) & c_Orderings_Oord__class_Oless(v3, v1, v0)) | (c_Groups_Ozero__class_Ozero(v3) = v8 & 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, v1, v0) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2))) & ( ~ c_Orderings_Oord__class_Oless(v3, v0, v1) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))))))
% 176.51/93.91 | (666) ! [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))
% 176.51/93.91 | (667) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_46_46, v0) = v1) | c_Nat_OSuc(v0) = v1)
% 176.51/93.91 | (668) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v1 | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v0) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Rings_Odivision__ring(v3) | c_Groups_Ozero__class_Ozero(v3) = v2)
% 176.51/93.91 | (669) ! [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))
% 176.51/93.91 | (670) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, all_0_13_13)
% 176.51/93.91 | (671) ! [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))
% 176.51/93.91 | (672) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_48_48, v0) = v1) | ? [v2] : (c_Nat_OSuc(v2) = v1 & c_Nat_OSuc(v0) = v2))
% 176.51/93.91 | (673) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | ~ (hAPP(all_0_40_40, v0) = v4) | ? [v6] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v6, v5)))
% 176.51/93.91 | (674) ! [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)))
% 176.51/93.91 | (675) ! [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))
% 176.51/93.91 | (676) ! [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] : ((c_Groups_Ozero__class_Ozero(v2) = v7 & ~ c_Orderings_Oord__class_Oless__eq(v2, v7, v1)) | (c_Groups_Oone__class_Oone(v2) = v7 & ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v7))))
% 176.51/93.91 | (677) class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)
% 176.51/93.91 | (678) class_Groups_Oone(tc_Int_Oint)
% 176.51/93.91 | (679) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (( ~ (v2 = v0) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0)) & (v2 = v0 | ( ~ (v3 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3))))
% 176.51/93.91 | (680) ! [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))
% 176.51/93.91 | (681) ! [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] : (( ~ (v7 = v5) | v1 = v0 | (v8 = v1 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v1)) & (v7 = v5 | ( ~ (v8 = v1) & ~ (v1 = v0) & c_Groups_Ouminus__class_Ouminus(v2, v0) = v8))))
% 176.51/93.91 | (682) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_49_49) = v2) | ~ class_Fields_Olinordered__field__inverse__zero(v1) | ~ class_Int_Onumber__ring(v1) | ? [v4] : (c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ c_Orderings_Oord__class_Oless(v1, v4, v0) | c_Orderings_Oord__class_Oless(v1, v4, v3))))
% 176.51/93.91 | (683) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v7, v2) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v6) = v7) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v0) = v5) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v9] : ? [v10] : ((v10 = v8 & c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v9 & c_Groups_Oplus__class_Oplus(v3, v9, v0) = v8) | (v9 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2)))
% 176.51/93.91 | (684) ? [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))
% 176.51/93.91 | (685) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (c_Nat_OSuc(v2) = v3) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_35_35, v3) = v4))
% 176.51/93.91 | (686) c_Groups_Oone__class_Oone(tc_Int_Oint) = all_0_47_47
% 176.51/93.91 | (687) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, c_Int_OPls) = v2) | ~ class_Int_Onumber__ring(v1) | ? [v4] : ? [v5] : (( ~ c_Int_Oiszero(v1, v3) | (v5 = v4 & c_Groups_Ozero__class_Ozero(v1) = v4 & c_Int_Onumber__class_Onumber__of(v1, v0) = v4)) & (c_Int_Oiszero(v1, v3) | ( ~ (v5 = v4) & c_Groups_Ozero__class_Ozero(v1) = v5 & c_Int_Onumber__class_Onumber__of(v1, v0) = v4))))
% 176.51/93.91 | (688) ! [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))
% 176.51/93.91 | (689) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_OBit0(v0) = v3) | ~ (c_Int_OBit1(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ? [v5] : (c_Int_OBit1(v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5))
% 176.51/93.91 | (690) class_Orderings_Opreorder(tc_Int_Oint)
% 176.51/93.91 | (691) ! [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))
% 176.51/93.91 | (692) ? [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))
% 176.51/93.91 | (693) ! [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)))
% 176.51/93.91 | (694) ! [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)))
% 176.51/93.91 | (695) class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex)
% 176.51/93.91 | (696) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v4) | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v4, v5) | ? [v6] : (c_Groups_Ozero__class_Ozero(v3) = v6 & ~ c_Orderings_Oord__class_Oless(v3, v6, v0)))
% 176.51/93.91 | (697) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1))
% 176.51/93.91 | (698) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v2) = v4) | ~ (hAPP(v3, v1) = v5) | ~ (hAPP(all_0_35_35, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 176.51/93.91 | (699) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v4 | v2 = all_0_36_36 | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v2) | ~ (c_Power_Opower__class_Opower(v1) = v3) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v4) = v5) | ~ class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1))
% 176.51/93.91 | (700) ! [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))))
% 176.51/93.91 | (701) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | ~ class_Rings_Olinordered__idom(v2) | ~ class_Int_Onumber__ring(v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 176.51/93.91 | (702) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v4) = v5) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Rings_Odivision__ring(v2) | ? [v6] : ((v6 = v5 & c_Rings_Oinverse__class_Odivide(v2, v0, v1) = v5) | (v6 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1)))
% 176.51/93.92 | (703) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Rings_Ocomm__semiring__1(v2) | ? [v7] : ? [v8] : ? [v9] : (c_Groups_Otimes__class_Otimes(v2) = v7 & hAPP(v9, v8) = v6 & hAPP(v7, v8) = v9 & hAPP(v4, v0) = v8))
% 176.51/93.92 | (704) ! [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))
% 176.51/93.92 | (705) ! [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_46_46) = v0)
% 176.51/93.92 | (706) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Power_Opower_Opower(v3, v2, v1) = v4) | ~ (hAPP(v4, v0) = v5) | hAPP(v5, all_0_36_36) = v2)
% 176.51/93.92 | (707) class_Rings_Ono__zero__divisors(tc_Code__Numeral_Ocode__numeral)
% 176.51/93.92 | (708) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3))
% 176.51/93.92 | (709) ! [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))
% 176.51/93.92 | (710) ! [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))))
% 176.51/93.92 | (711) ! [v0] : ! [v1] : ( ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ c_Int_Oiszero(v0, v1) | ~ class_Rings_Osemiring__1(v0))
% 176.51/93.92 | (712) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 176.51/93.92 | (713) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = all_0_36_36 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ (hAPP(v2, v3) = v4) | ~ (hAPP(all_0_15_15, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v4) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1))
% 176.51/93.92 | (714) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_51_51, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_51_51, v1))
% 176.51/93.92 | (715) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_51_51, v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_51_51, v0))
% 176.51/93.92 | (716) ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | ? [v2] : ? [v3] : ? [v4] : ? [v5] : (c_Int_OBit0(v0) = v2 & c_Int_OBit1(v0) = v4 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v4) = v5 & c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v2) = v3 & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v5) & c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v3)))
% 176.51/93.92 | (717) ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 176.51/93.92 | (718) ! [v0] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0) | ? [v1] : c_Nat_OSuc(v1) = v0)
% 176.51/93.92 | (719) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_35_35, v0) = v1) | hAPP(v1, all_0_36_36) = all_0_36_36)
% 176.51/93.92 | (720) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v1 = all_0_41_41 | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v1) = v3) | ~ (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_40_40, v2) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v6) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_0_41_41))
% 176.51/93.92 | (721) ! [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))))
% 176.51/93.92 | (722) ! [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))
% 176.51/93.92 | (723) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1))
% 176.51/93.92 | (724) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0))
% 176.51/93.92 | (725) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_46_46 | ~ (hAPP(v2, v0) = all_0_46_46) | ~ (hAPP(all_0_35_35, v1) = v2))
% 176.51/93.92 | (726) class_Rings_Olinordered__semiring__strict(tc_Int_Oint)
% 176.51/93.92 | (727) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_47_47, v0) = v1) | c_Int_OBit1(v0) = v2)
% 176.51/93.92 | (728) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit0(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3))
% 176.51/93.92 | (729) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit0(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 176.66/93.92 | (730) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_0_41_41) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v3)))
% 176.66/93.92 | (731) ! [v0] : ! [v1] : (v1 = all_0_36_36 | v1 = all_0_46_46 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_46_46))
% 176.66/93.92 | (732) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v5) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v6, v5) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v1) | c_Orderings_Oord__class_Oless__eq(v3, v2, v8)) & (c_Orderings_Oord__class_Oless(v3, v9, v1) | (( ~ c_Orderings_Oord__class_Oless(v3, v1, v9) | c_Orderings_Oord__class_Oless__eq(v3, v8, v2)) & (c_Orderings_Oord__class_Oless(v3, v1, v9) | c_Orderings_Oord__class_Oless__eq(v3, v9, v5)))))) & (c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v1) & ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v1) & ((c_Orderings_Oord__class_Oless(v3, v1, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2)) | ( ~ c_Orderings_Oord__class_Oless(v3, v1, v9) & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v5)))))))))
% 176.66/93.92 | (733) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = all_0_41_41) | c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v0)
% 176.66/93.92 | (734) ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OMin)
% 176.66/93.92 | (735) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_39_39, v4) = v5) | ~ (hAPP(all_0_39_39, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_39_39, v1) = v7))
% 176.66/93.92 | (736) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_40_40, v2) = v3) | ? [v6] : ? [v7] : (c_NthRoot_Osqrt(v7) = v5 & hAPP(v6, v0) = v7 & hAPP(all_0_40_40, v1) = v6))
% 176.66/93.92 | (737) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v1) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ? [v8] : ((c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v8 & c_Orderings_Oord__class_Oless(v3, v7, v8)) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v6) | ~ c_Orderings_Oord__class_Oless(v3, v8, v0)))))
% 176.66/93.92 | (738) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v2, v4, v4) = v5) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~ class_Fields_Olinordered__field(v2) | ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | c_Orderings_Oord__class_Oless(v2, v1, v6))
% 176.66/93.92 | (739) ! [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))
% 176.66/93.92 | (740) class_Rings_Ocomm__ring__1(tc_Int_Oint)
% 176.66/93.92 | (741) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_41_41) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0))
% 176.66/93.92 | (742) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ class_Rings_Olinordered__semidom(v2) | ? [v6] : ? [v7] : (( ~ (v7 = v6) & hAPP(v5, all_0_48_48) = v7 & hAPP(v4, all_0_48_48) = v6) | (c_Groups_Ozero__class_Ozero(v2) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v1)) | (c_Groups_Ozero__class_Ozero(v2) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v0))))
% 176.66/93.92 | (743) class_Rings_Ocomm__semiring(tc_Int_Oint)
% 176.66/93.92 | (744) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(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__eq(v2, v4, v3))))
% 176.66/93.92 | (745) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v3) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_46_46, v1))
% 176.66/93.92 | (746) ! [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))
% 176.66/93.92 | (747) ! [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))
% 176.66/93.92 | (748) class_Rings_Osemiring(tc_RealDef_Oreal)
% 176.66/93.92 | (749) hAPP(all_0_8_8, c_Complex_Oii) = all_0_7_7
% 176.66/93.92 | (750) ! [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)))
% 176.66/93.92 | (751) c_Complex_Ocomplex_OComplex(all_0_1_1, all_0_0_0) = v_z
% 176.66/93.92 | (752) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 176.66/93.92 | (753) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Orderings_Olinorder(v2))
% 176.66/93.92 | (754) class_Int_Onumber(tc_Complex_Ocomplex)
% 176.66/93.92 | (755) ! [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)))
% 176.66/93.92 | (756) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OMin))
% 176.66/93.93 | (757) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OMin))
% 176.66/93.93 | (758) class_Rings_Ocomm__semiring(tc_Complex_Ocomplex)
% 176.66/93.93 | (759) class_Rings_Osemiring__1(tc_Nat_Onat)
% 176.66/93.93 | (760) ! [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)))
% 176.66/93.93 | (761) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0))
% 176.66/93.93 | (762) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v0) = v2) | ~ class_Rings_Odivision__ring__inverse__zero(v1) | ? [v3] : ? [v4] : (c_Groups_Ozero__class_Ozero(v1) = v3 & ( ~ (v3 = v0) | v2 = v0) & (v3 = v0 | (v4 = v2 & c_Groups_Oone__class_Oone(v1) = v2))))
% 176.66/93.93 | (763) ! [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)))
% 176.66/93.93 | (764) ! [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))))))
% 176.66/93.93 | (765) class_Orderings_Opreorder(tc_Nat_Onat)
% 176.66/93.93 | (766) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_37_37, v1) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v3) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1))
% 176.66/93.93 | (767) hAPP(all_0_10_10, all_0_48_48) = all_0_9_9
% 176.66/93.93 | (768) ! [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)))
% 176.66/93.93 | (769) ! [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))
% 176.66/93.93 | (770) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ class_Groups_Olinordered__ab__group__add(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v2) | (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_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v3)))))
% 176.66/93.93 | (771) class_Int_Oring__char__0(tc_Complex_Ocomplex)
% 176.66/93.93 | (772) class_Rings_Olinordered__semidom(tc_Int_Oint)
% 176.66/93.93 | (773) ! [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))
% 176.66/93.93 | (774) ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1) | ? [v2] : ? [v3] : (c_Transcendental_Oarctan(v1) = v2 & c_Transcendental_Oarctan(v0) = v3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v2))
% 176.66/93.93 | (775) hAPP(all_0_44_44, all_0_28_28) = all_0_19_19
% 176.66/93.93 | (776) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = c_Int_OPls) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_47_47, v0) = v1))
% 176.66/93.93 | (777) ! [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_36_36) = v4))
% 176.66/93.93 | (778) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v7] : (c_NthRoot_Osqrt(v6) = v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v7)))
% 176.66/93.93 | (779) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v1))
% 176.66/93.93 | (780) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, v0))
% 176.66/93.93 | (781) class_Groups_Oab__group__add(tc_Int_Oint)
% 176.66/93.93 | (782) ! [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))
% 176.66/93.93 | (783) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OPls) = v2) | ~ class_Fields_Ofield__inverse__zero(v1) | ~ class_Int_Onumber__ring(v1) | c_Groups_Ozero__class_Ozero(v1) = v3)
% 176.66/93.93 | (784) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_0_49_49) = all_0_48_48
% 176.66/93.93 | (785) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, c_Int_OPls) = all_0_36_36
% 176.66/93.93 | (786) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ? [v8] : (( ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v0) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v1) | c_Orderings_Oord__class_Oless__eq(v3, v2, v7)) & (c_Orderings_Oord__class_Oless(v3, v8, v1) | (( ~ c_Orderings_Oord__class_Oless(v3, v1, v8) | c_Orderings_Oord__class_Oless__eq(v3, v7, v2)) & (c_Orderings_Oord__class_Oless(v3, v1, v8) | c_Orderings_Oord__class_Oless__eq(v3, v8, v0)))))) & (c_Orderings_Oord__class_Oless__eq(v3, v4, v0) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ((c_Orderings_Oord__class_Oless(v3, v8, v1) & ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v7)) | ( ~ c_Orderings_Oord__class_Oless(v3, v8, v1) & ((c_Orderings_Oord__class_Oless(v3, v1, v8) & ~ c_Orderings_Oord__class_Oless__eq(v3, v7, v2)) | ( ~ c_Orderings_Oord__class_Oless(v3, v1, v8) & ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0)))))))))
% 176.66/93.93 | (787) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_41_41) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_41_41))
% 176.66/93.93 | (788) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_41_41) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_41_41))
% 176.66/93.93 | (789) c_Int_OBit1(c_Int_OPls) = all_0_50_50
% 176.66/93.93 | (790) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v1) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6))
% 176.66/93.93 | (791) ! [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))))
% 176.66/93.93 | (792) ? [v0] : ? [v1] : (v1 = v0 | ? [v2] : ? [v3] : ? [v4] : ( ~ (v4 = v3) & hAPP(v1, v2) = v3 & hAPP(v0, v2) = v4))
% 176.66/93.93 | (793) ! [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))
% 176.66/93.93 | (794) class_Fields_Olinordered__field(tc_RealDef_Oreal)
% 176.66/93.93 | (795) class_Groups_Ocomm__monoid__mult(tc_Nat_Onat)
% 176.66/93.93 | (796) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3))
% 176.66/93.93 | (797) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OMin, c_Int_OPls)
% 176.66/93.93 | (798) ! [v0] : ! [v1] : ! [v2] : (v2 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ c_Int_Oiszero(v1, v0) | ~ class_Rings_Osemiring__1(v1))
% 176.66/93.93 | (799) ! [v0] : ! [v1] : (v1 = all_0_47_47 | ~ (hAPP(v0, all_0_12_12) = v1) | ~ (hAPP(all_0_39_39, all_0_12_12) = v0))
% 176.66/93.93 | (800) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, all_0_18_18)
% 176.66/93.93 | (801) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ class_Rings_Ozero__neq__one(v2) | ~ class_Rings_Ono__zero__divisors(v2) | ~ class_Rings_Omult__zero(v2) | ~ class_Power_Opower(v2) | ? [v7] : (c_Groups_Ozero__class_Ozero(v2) = v7 & ( ~ (v7 = v6) | (v6 = v1 & ~ (v5 = all_0_36_36))) & ( ~ (v7 = v1) | v6 = v1 | v5 = all_0_36_36)))
% 176.66/93.93 | (802) ! [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))
% 176.66/93.93 | (803) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Int_Onumber__ring(v1) | c_Groups_Ouminus__class_Ouminus(v1, v0) = v5)
% 176.66/93.93 | (804) hAPP(all_0_39_39, all_0_17_17) = all_0_16_16
% 176.66/93.93 | (805) ! [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))
% 176.66/93.93 | (806) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Olinordered__idom(v1) | ? [v4] : ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v5 & hAPP(v3, all_0_48_48) = v4 & ~ c_Orderings_Oord__class_Oless(v1, v4, v5)))
% 176.66/93.93 | (807) ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(v0, all_0_50_50) = v1) | ~ c_Int_Oiszero(v0, v1) | ~ class_Int_Onumber__ring(v0))
% 176.66/93.93 | (808) ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, all_0_47_47)
% 176.66/93.93 | (809) hAPP(all_0_45_45, c_Complex_Oii) = all_0_10_10
% 176.66/93.93 | (810) ! [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_39_39, 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, c_Int_OPls, v2) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v3, v1))
% 176.66/93.93 | (811) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v3 | ~ (c_Groups_Ouminus__class_Ouminus(v1, v3) = v4) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v2, v4) = v5) | ~ (hAPP(all_0_31_31, v0) = v6) | ~ class_Rings_Oring__1(v1))
% 176.66/93.93 | (812) ! [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))
% 176.66/93.93 | (813) ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_41_41 | ~ (hAPP(v1, v0) = v2) | ~ (hAPP(all_0_40_40, v0) = v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2))
% 176.66/93.94 | (814) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_11_11, v0) = v1) | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1)
% 176.66/93.94 | (815) ! [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))))
% 176.66/93.94 | (816) class_Groups_Ocancel__semigroup__add(tc_Nat_Onat)
% 176.66/93.94 | (817) ! [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))))
% 176.66/93.94 | (818) class_Groups_Oab__group__add(tc_RealDef_Oreal)
% 176.66/93.94 | (819) hAPP(all_0_35_35, all_0_48_48) = all_0_31_31
% 176.66/93.94 | (820) ! [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))
% 176.66/93.94 | (821) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v1) = v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0))
% 176.66/93.94 | (822) class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex)
% 176.66/93.94 | (823) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v7, v2) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v1, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Fields_Ofield(v3) | ? [v9] : ? [v10] : ((v10 = v8 & c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v9 & c_Groups_Oplus__class_Oplus(v3, v9, v0) = v8) | (v9 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2)))
% 176.66/93.94 | (824) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v0) | c_Orderings_Oord__class_Oless(v3, v2, v0))
% 176.66/93.94 | (825) ! [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))
% 176.66/93.94 | (826) class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex)
% 176.66/93.94 | (827) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Olinorder(v1) | ~ c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 176.66/93.94 | (828) ? [v0] : ? [v1] : (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1))
% 176.66/93.94 | (829) ! [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)
% 176.66/93.94 | (830) c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, all_0_50_50) = all_0_20_20
% 176.66/93.94 | (831) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Power_Opower__class_Opower(v2) = v5) | ~ (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] : ((c_Groups_Ozero__class_Ozero(v2) = v9 & ~ c_Orderings_Oord__class_Oless(v2, v9, v1)) | (c_Groups_Oone__class_Oone(v2) = v9 & ~ c_Orderings_Oord__class_Oless(v2, v1, v9))))
% 176.66/93.94 | (832) ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v0)
% 176.66/93.94 | (833) class_Rings_Oordered__semiring(tc_Int_Oint)
% 176.66/93.94 | (834) ! [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))
% 176.72/93.94 | (835) ! [v0] : (v0 = c_Int_OPls | ~ (c_Int_OBit0(v0) = c_Int_OPls))
% 176.72/93.94 | (836) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ? [v3] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, all_0_28_28) = v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 176.72/93.94 | (837) ! [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))))
% 176.72/93.94 | (838) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v2, v3) = v4) | ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v3) | ? [v5] : (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v5 & c_NthRoot_Osqrt(v5) = v4))
% 176.72/93.94 | (839) ! [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))))
% 176.72/93.94 | (840) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_40_40, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5))
% 176.72/93.94 | (841) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_40_40, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v5) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0))
% 176.72/93.94 | (842) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | ~ (hAPP(all_0_40_40, v0) = v4) | ? [v7] : (c_NthRoot_Osqrt(v6) = v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v7)))
% 176.72/93.94 | (843) c_Transcendental_Oarctan(all_0_41_41) = all_0_41_41
% 176.72/93.94 | (844) class_Orderings_Oorder(tc_RealDef_Oreal)
% 176.72/93.94 | (845) c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, all_0_47_47)
% 176.72/93.94 | (846) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_19_19, v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_51_51, v1))
% 176.72/93.94 | (847) class_Rings_Osemiring__0(tc_Code__Numeral_Ocode__numeral)
% 176.72/93.94 | (848) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1))
% 176.72/93.94 | (849) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0))
% 176.72/93.94 | (850) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_40_40, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6))
% 176.72/93.94 | (851) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v3, v2) = v4) | ~ (hAPP(all_0_40_40, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v4, v6) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0))
% 176.72/93.94 | (852) class_Orderings_Oorder(tc_HOL_Obool)
% 176.72/93.94 | (853) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_12_12 | v0 = all_0_47_47 | ~ (hAPP(v2, v0) = all_0_47_47) | ~ (hAPP(all_0_39_39, v1) = v2))
% 176.72/93.94 | (854) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_RealVector_Onorm__class_Onorm(v4, v5) = v6) | ~ (c_Groups_Oplus__class_Oplus(v4, v3, v1) = v5) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v0) = v7) | ~ class_RealVector_Oreal__normed__vector(v4) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v6, v7) | ? [v8] : ((c_RealVector_Onorm__class_Onorm(v4, v3) = v8 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v2)) | (c_RealVector_Onorm__class_Onorm(v4, v1) = v8 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v8, v0))))
% 176.72/93.94 | (855) ! [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] : ((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_Groups_Oone__class_Oone(v2) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6))))
% 176.72/93.94 | (856) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_RealVector_Oreal__normed__algebra(v1))
% 176.72/93.94 | (857) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v1, v3))
% 176.72/93.94 | (858) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v2) | ~ (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ? [v4] : ? [v5] : (c_Complex_Ocomplex_OComplex(v1, v0) = v4 & hAPP(v5, c_Complex_Oii) = v3 & hAPP(all_0_8_8, v4) = v5))
% 176.72/93.94 | (859) ~ (all_0_32_32 = c_Complex_Oii)
% 176.72/93.94 | (860) c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_46_46, all_0_46_46) = all_0_48_48
% 176.72/93.94 | (861) class_Rings_Ocomm__semiring__1(tc_Int_Oint)
% 176.72/93.94 | (862) ! [v0] : ! [v1] : ! [v2] : ( ~ (tc_fun(v0, v1) = v2) | ~ class_Orderings_Oord(v1) | class_Orderings_Oord(v2))
% 176.72/93.94 | (863) ! [v0] : (v0 = all_0_46_46 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_36_36, all_0_46_46) = v0))
% 176.72/93.94 | (864) class_Rings_Osemiring__1(tc_Code__Numeral_Ocode__numeral)
% 176.72/93.94 | (865) ! [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))
% 176.72/93.94 | (866) c_Power_Opower__class_Opower(tc_Complex_Ocomplex) = all_0_45_45
% 176.72/93.94 | (867) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Nat_OSuc(v1) = v2) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_35_35, v2) = v3))
% 176.72/93.94 | (868) class_Orderings_Oord(tc_Int_Oint)
% 176.72/93.94 | (869) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Oorder(v1))
% 176.72/93.94 | (870) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_50_50) | (c_Groups_Oone__class_Oone(v1) = v3 & c_Orderings_Oord__class_Oless(v1, v2, v3))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_50_50) | (c_Groups_Oone__class_Oone(v1) = v3 & ~ c_Orderings_Oord__class_Oless(v1, v2, v3)))))
% 176.72/93.94 | (871) ! [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)))
% 176.72/93.94 | (872) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v7 = v3 | ~ (c_Nat_OSuc(v5) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v3) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v2, v3) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Int_Onumber__ring(v1))
% 176.72/93.94 | (873) hAPP(all_0_35_35, all_0_46_46) = all_0_21_21
% 176.72/93.94 | (874) class_Groups_Ocomm__monoid__mult(tc_Code__Numeral_Ocode__numeral)
% 176.72/93.94 | (875) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_0_51_51) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_0_51_51))
% 176.72/93.94 | (876) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, all_0_51_51) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, all_0_51_51))
% 176.72/93.95 | (877) class_Rings_Osemiring(tc_Nat_Onat)
% 176.72/93.95 | (878) hAPP(all_0_35_35, all_0_36_36) = all_0_22_22
% 176.72/93.95 | (879) ! [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))
% 176.72/93.95 | (880) ! [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))
% 176.72/93.95 | (881) ! [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))
% 176.72/93.95 | (882) c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, c_Int_OPls)
% 176.72/93.95 | (883) class_Rings_Olinordered__semiring__strict(tc_RealDef_Oreal)
% 176.72/93.95 | (884) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v3 = v1 | ~ (c_Complex_Ocomplex_OComplex(v3, v2) = v4) | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v4))
% 176.72/93.95 | (885) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_39_39, v2) = v3) | ? [v5] : ? [v6] : (c_Int_OBit0(v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_39_39, v1) = v5))
% 176.72/93.95 | (886) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v2, v3) = v4) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls))
% 176.72/93.95 | (887) ! [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))))))
% 176.72/93.95 | (888) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Ocomm__monoid__mult(v1))
% 176.72/93.95 | (889) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v3) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v2, v4) = v5) | ~ class_Rings_Ocomm__ring__1(v1) | c_Groups_Ouminus__class_Ouminus(v1, v0) = v6)
% 176.72/93.95 | (890) class_Groups_Ocomm__monoid__mult(tc_Int_Oint)
% 176.72/93.95 | (891) ! [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))
% 176.72/93.95 | (892) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Omult__zero(v1))
% 176.72/93.95 | (893) ! [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))
% 176.72/93.95 | (894) ! [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))
% 176.72/93.95 | (895) ? [v0] : ! [v1] : ( ~ class_Orderings_Oorder(v1) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 176.72/93.95 | (896) class_Int_Onumber__ring(tc_Complex_Ocomplex)
% 176.72/93.95 | (897) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & c_Orderings_Oord__class_Oless__eq(v1, v3, v2))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | (c_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(v1, v3, v2)))))
% 176.72/93.95 | (898) ! [v0] : ! [v1] : (v1 = all_0_46_46 | v0 = all_0_46_46 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = all_0_46_46))
% 176.72/93.95 | (899) ! [v0] : ! [v1] : (v1 = all_0_41_41 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = all_0_42_42))
% 176.72/93.95 | (900) ! [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))))
% 176.72/93.95 | (901) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_36_36, v0) = v1))
% 176.72/93.95 | (902) c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v_z
% 176.72/93.95 | (903) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_44_44, v2) = v3) | ? [v5] : ? [v6] : (c_NthRoot_Osqrt(v6) = v4 & hAPP(v5, v0) = v6 & hAPP(all_0_44_44, v1) = v5))
% 176.72/93.95 | (904) ! [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)))
% 176.72/93.95 | (905) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v1))
% 176.72/93.95 | (906) class_Rings_Ono__zero__divisors(tc_RealDef_Oreal)
% 176.72/93.95 | (907) ! [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)))
% 176.72/93.95 | (908) class_Rings_Oordered__semiring(tc_Nat_Onat)
% 176.72/93.95 | (909) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Transcendental_Oarctan(v2) = v1) | ~ (c_Transcendental_Oarctan(v2) = v0))
% 176.72/93.95 | (910) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v4) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v4) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v2) = v7) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ c_Orderings_Oord__class_Oless(v3, v2, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) | c_Orderings_Oord__class_Oless(v3, v8, v1)) & (c_Orderings_Oord__class_Oless(v3, v9, v4) | (( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless(v3, v1, v8)) & (c_Orderings_Oord__class_Oless(v3, v4, v9) | c_Orderings_Oord__class_Oless(v3, v2, v9)))))) & (c_Orderings_Oord__class_Oless(v3, v2, v5) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((c_Orderings_Oord__class_Oless(v3, v9, v4) & ~ c_Orderings_Oord__class_Oless(v3, v8, v1)) | ( ~ c_Orderings_Oord__class_Oless(v3, v9, v4) & ((c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless(v3, v1, v8)) | ( ~ c_Orderings_Oord__class_Oless(v3, v4, v9) & ~ c_Orderings_Oord__class_Oless(v3, v2, v9)))))))))
% 176.72/93.95 | (911) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(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, v4, v1) & c_Orderings_Oord__class_Oless__eq(v2, v0, v4)) | (c_Orderings_Oord__class_Oless__eq(v2, v4, v0) & c_Orderings_Oord__class_Oless__eq(v2, v1, v4))) & (c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | (( ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v4)) & ( ~ c_Orderings_Oord__class_Oless__eq(v2, v4, v0) | ~ c_Orderings_Oord__class_Oless__eq(v2, v1, v4))))))
% 176.72/93.95 | (912) ! [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] : (( ~ (v13 = v12) & c_Groups_Oplus__class_Oplus(v5, v1, v0) = v12 & c_Groups_Oone__class_Oone(v5) = v13) | (c_Groups_Ozero__class_Ozero(v5) = v12 & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v1) | ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v0)))))
% 176.72/93.95 | (913) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : ? [v5] : (((v5 = v0 & c_Groups_Ouminus__class_Ouminus(v2, v1) = v0) | ( ~ (v4 = v3) & c_Groups_Ozero__class_Ozero(v2) = v4)) & ((v4 = v3 & c_Groups_Ozero__class_Ozero(v2) = v3) | ( ~ (v5 = v0) & c_Groups_Ouminus__class_Ouminus(v2, v1) = v5))))
% 176.72/93.95 | (914) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_40_40, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v4, v5))
% 176.72/93.95 | (915) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v6, v7) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v9] : ((v9 = v8 & c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v8) | (v9 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2)))
% 176.72/93.95 | (916) c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, all_0_30_30) = all_0_29_29
% 176.72/93.95 | (917) class_Fields_Olinordered__field__inverse__zero(tc_RealDef_Oreal)
% 176.72/93.95 | (918) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_40_40, v1) = v4))
% 176.72/93.95 | (919) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v1) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | ? [v8] : ((c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v8 & c_Orderings_Oord__class_Oless__eq(v3, v7, v8)) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v6) | ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0)))))
% 176.72/93.95 | (920) ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v1) | ? [v2] : ? [v3] : (c_NthRoot_Osqrt(v1) = v2 & c_NthRoot_Osqrt(v0) = v3 & c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v3) = v2))
% 176.72/93.95 | (921) ! [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))
% 176.72/93.95 | (922) ! [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))
% 176.72/93.95 | (923) ! [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)))
% 176.72/93.95 | (924) c_Power_Opower__class_Opower(tc_Nat_Onat) = all_0_15_15
% 176.72/93.95 | (925) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v1, v7) | c_Orderings_Oord__class_Oless(v3, v4, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 176.72/93.95 | (926) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v4, v0) | c_Orderings_Oord__class_Oless(v3, v1, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 176.72/93.95 | (927) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v4, v0) | c_Orderings_Oord__class_Oless(v3, v7, v1) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))
% 176.72/93.96 | (928) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v7, v1) | c_Orderings_Oord__class_Oless(v3, v4, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))
% 176.72/93.96 | (929) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, all_0_50_50) = v2) | ~ class_Fields_Ofield(v1) | ~ class_Int_Onumber__ring(v1))
% 176.72/93.96 | (930) class_Rings_Olinordered__idom(tc_Int_Oint)
% 176.72/93.96 | (931) ! [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))
% 176.72/93.96 | (932) ! [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))
% 176.72/93.96 | (933) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ class_Groups_Omonoid__add(v1))
% 176.72/93.96 | (934) hAPP(all_0_6_6, all_0_48_48) = all_0_5_5
% 176.72/93.96 | (935) ! [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))))
% 176.72/93.96 | (936) class_Groups_Ocomm__monoid__add(tc_Int_Oint)
% 176.72/93.96 | (937) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v6, v8) = v9) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v10] : ? [v11] : (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v10 & hAPP(v11, v0) = v9 & hAPP(v4, v10) = v11))
% 176.72/93.96 | (938) class_Orderings_Opreorder(tc_RealDef_Oreal)
% 176.72/93.96 | (939) class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat)
% 176.72/93.96 | (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, v1, v4) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 176.72/93.96 | (941) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v4) | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless__eq(v3, v4, v5) | ? [v6] : (c_Groups_Ozero__class_Ozero(v3) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v0)))
% 176.72/93.96 | (942) ! [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))))
% 176.72/93.96 | (943) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_51_51, all_0_18_18)
% 176.72/93.96 | (944) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 176.72/93.96 | (945) c_NthRoot_Osqrt(all_0_41_41) = all_0_41_41
% 176.72/93.96 | (946) c_Int_Onumber__class_Onumber__of(tc_RealDef_Oreal, all_0_26_26) = all_0_25_25
% 176.72/93.96 | (947) ! [v0] : (v0 = all_0_47_47 | ~ (hAPP(all_0_38_38, all_0_47_47) = v0))
% 176.72/93.96 | (948) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_41_41) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1))
% 176.72/93.96 | (949) ! [v0] : (v0 = c_Int_OMin | ~ (c_Int_OBit1(v0) = c_Int_OMin))
% 176.72/93.96 | (950) ! [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))
% 176.72/93.96 | (951) class_Rings_Olinordered__semiring(tc_Int_Oint)
% 176.72/93.96 | (952) ! [v0] : (v0 = all_0_36_36 | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v0, all_0_36_36))
% 176.72/93.96 | (953) c_Groups_Ozero__class_Ozero(tc_Nat_Onat) = all_0_36_36
% 176.72/93.96 | (954) ! [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))))
% 176.72/93.96 | (955) ! [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)))
% 176.72/93.96 | (956) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls))
% 176.72/93.96 | (957) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls))
% 176.72/93.96 | (958) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v4 = v1 | ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v0) | ~ (hAPP(v5, v1) = v6) | ~ class_Rings_Odivision__ring(v3) | c_Groups_Ozero__class_Ozero(v3) = v2)
% 176.72/93.96 | (959) ! [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)))
% 176.72/93.96 | (960) ! [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))
% 176.72/93.96 | (961) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit1(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3))
% 176.72/93.96 | (962) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit1(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 176.72/93.96 | (963) class_Groups_Ocomm__monoid__mult(tc_RealDef_Oreal)
% 176.72/93.96 | (964) class_Int_Oring__char__0(tc_Int_Oint)
% 176.72/93.96 | (965) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat)
% 176.72/93.96 | (966) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v4) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(all_0_39_39, v2) = v3) | ? [v6] : ? [v7] : (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v7) = v5 & hAPP(v6, v0) = v7 & hAPP(all_0_39_39, v1) = v6))
% 176.72/93.96 | (967) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v3, v4) = v5) | ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (c_RealVector_Onorm__class_Onorm(v2, v0) = v4) | ~ class_RealVector_Oreal__normed__field(v2) | ~ class_Fields_Ofield__inverse__zero(v2) | ? [v6] : (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v6 & c_RealVector_Onorm__class_Onorm(v2, v6) = v5))
% 176.72/93.96 | (968) c_Complex_Ocomplex_OComplex(all_0_51_51, all_0_41_41) = all_0_32_32
% 176.72/93.96 | (969) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(v1, v0) = v2) | ~ (c_RealVector_Onorm__class_Onorm(v1, v2) = v3) | ~ class_RealVector_Oreal__normed__vector(v1) | c_RealVector_Onorm__class_Onorm(v1, v0) = v3)
% 176.72/93.96 | (970) class_Rings_Oordered__cancel__semiring(tc_Code__Numeral_Ocode__numeral)
% 176.72/93.96 | (971) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_16_16, v1) = v0) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0))
% 176.72/93.96 | (972) ! [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))
% 176.72/93.96 | (973) class_Power_Opower(tc_Code__Numeral_Ocode__numeral)
% 176.72/93.96 | (974) ! [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)))
% 176.72/93.96 | (975) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v6, v0) | c_Orderings_Oord__class_Oless__eq(v3, v1, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 176.72/93.96 | (976) ! [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)))
% 176.72/93.96 | (977) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = all_0_41_41) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | ~ (hAPP(all_0_40_40, v0) = v4))
% 176.72/93.96 | (978) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v1) = v3 & c_Orderings_Oord__class_Oless__eq(v1, v2, v3))) & (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless__eq(v1, v2, v3)))))
% 176.72/93.96 | (979) ! [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)))
% 176.72/93.96 | (980) ? [v0] : ! [v1] : ( ~ class_Orderings_Opreorder(v1) | c_Orderings_Oord__class_Oless__eq(v1, v0, v0))
% 176.72/93.96 | (981) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0))
% 176.72/93.96 | (982) class_Rings_Oring__1(tc_Int_Oint)
% 176.72/93.96 | (983) class_Groups_Omonoid__add(tc_Int_Oint)
% 176.72/93.96 | (984) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, all_0_41_41) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v3)))
% 176.72/93.96 | (985) ! [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)))
% 176.72/93.96 | (986) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, v3) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ? [v5] : ? [v6] : (c_Nat_OSuc(v1) = v5 & hAPP(v6, v0) = v4 & hAPP(all_0_35_35, v5) = v6))
% 176.72/93.96 | (987) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v1) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | ? [v8] : ((c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v8 & c_Orderings_Oord__class_Oless__eq(v3, v8, v7)) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v6) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v8)))))
% 176.72/93.96 | (988) ! [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))
% 176.72/93.96 | (989) class_Groups_Omonoid__add(tc_Complex_Ocomplex)
% 176.72/93.96 | (990) ! [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))))
% 176.72/93.97 | (991) hAPP(all_0_39_39, c_Int_OMin) = all_0_11_11
% 176.72/93.97 | (992) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (tc_fun(v2, v3) = v4) | ~ c_Orderings_Oord__class_Oless(v4, v1, v0) | ~ class_Orderings_Oord(v3) | ~ c_Orderings_Oord__class_Oless__eq(v4, v0, v1))
% 176.72/93.97 | (993) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ class_RealVector_Oreal__normed__vector(v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2))
% 176.72/93.97 | (994) ! [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))
% 176.72/93.97 | (995) ! [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))
% 176.72/93.97 | (996) ! [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)))
% 176.72/93.97 | (997) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v3) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v2, v3) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Int_Onumber__ring(v1) | c_Groups_Oone__class_Oone(v1) = v6)
% 176.72/93.97 | (998) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, all_0_18_18) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(all_0_44_44, v2) = v4) | ~ (hAPP(all_0_44_44, v0) = v6) | ? [v9] : ((c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v2) = v9 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v3)) | (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v0) = v9 & ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v3)) | (c_NthRoot_Osqrt(v8) = v9 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v9, v1))))
% 176.72/93.97 | (999) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_41_41) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2))
% 176.72/93.97 | (1000) class_Groups_Ocancel__semigroup__add(tc_Code__Numeral_Ocode__numeral)
% 176.72/93.97 | (1001) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v5) | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v7) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v9) = v10) | ~ (hAPP(v4, v7) = v8) | ~ (hAPP(v4, v5) = v6) | ~ class_Int_Onumber__ring(v3) | ? [v11] : ? [v12] : ? [v13] : ? [v14] : (c_Int_Onumber__class_Onumber__of(v3, v12) = v13 & hAPP(v14, v0) = v10 & hAPP(v11, v1) = v12 & hAPP(v4, v13) = v14 & hAPP(all_0_39_39, v2) = v11))
% 176.72/93.97 | (1002) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v7) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v6, v0) | c_Orderings_Oord__class_Oless(v3, v1, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 176.72/93.97 | (1003) ! [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))
% 176.72/93.97 | (1004) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, all_0_41_41) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, all_0_41_41) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2))
% 176.72/93.97 | (1005) hAPP(all_0_40_40, all_0_25_25) = all_0_24_24
% 176.72/93.97 | (1006) ! [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))
% 176.72/93.97 | (1007) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v1) | ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v0))
% 176.72/93.97 | (1008) ! [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))))))
% 176.72/93.97 | (1009) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v0) = v5) | ~ (c_Rings_Oinverse__class_Odivide(v4, v2, v1) = v6) | ~ class_Fields_Olinordered__field(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) | ? [v7] : (c_Groups_Ozero__class_Ozero(v4) = v7 & ( ~ c_Orderings_Oord__class_Oless(v4, v7, v3) | ~ c_Orderings_Oord__class_Oless(v4, v7, v1))))
% 176.72/93.97 | (1010) ! [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)))
% 176.72/93.97 | (1011) ! [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)))
% 176.72/93.97 | (1012) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Transcendental_Oarctan(v1) = v2) | ~ (c_Transcendental_Oarctan(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v3))
% 176.72/93.97 | (1013) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2))
% 176.72/93.97 | (1014) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v2) | ~ (c_Complex_Ocomplex_OComplex(v2, v1) = v3) | ? [v4] : (c_Complex_Ocomplex_OComplex(v1, v0) = v4 & hAPP(all_0_7_7, v4) = v3))
% 176.72/93.97 | (1015) class_Groups_Omonoid__add(tc_RealDef_Oreal)
% 176.72/93.97 | (1016) ! [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)))
% 176.72/93.97 | (1017) ! [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))
% 176.72/93.97 | (1018) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v0, v1) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v4))
% 176.72/93.97 | (1019) ! [v0] : ! [v1] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, c_Int_OPls) = v1))
% 176.72/93.97 | (1020) ! [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))))
% 176.72/93.97 | (1021) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Ocomm__semiring__1(v1))
% 176.72/93.97 | (1022) ! [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)))))
% 176.72/93.97 | (1023) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v7] : (c_NthRoot_Osqrt(v6) = v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v7)))
% 176.72/93.97 | (1024) ~ (all_0_41_41 = all_0_51_51)
% 176.72/93.97 | (1025) ! [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))
% 176.72/93.97 | (1026) ! [v0] : ! [v1] : (v0 = all_0_41_41 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = all_0_32_32))
% 176.72/93.97 | (1027) class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)
% 176.72/93.97 | (1028) class_Groups_Oab__semigroup__mult(tc_Nat_Onat)
% 176.72/93.97 | (1029) ! [v0] : ! [v1] : (v1 = all_0_36_36 | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls))
% 176.72/93.97 | (1030) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_50_50) = v2) | ~ class_Int_Onumber__ring(v1) | ? [v4] : ? [v5] : (c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & c_Groups_Oplus__class_Oplus(v1, v4, v5) = v3 & c_Groups_Oone__class_Oone(v1) = v5))
% 176.72/93.97 | (1031) ! [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))
% 176.72/93.97 | (1032) ! [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)
% 176.72/93.97 | (1033) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_NthRoot_Osqrt(v0) = v2) | ~ (c_NthRoot_Osqrt(v0) = v1))
% 176.72/93.97 | (1034) ! [v0] : ~ (c_Int_OBit1(v0) = c_Int_OPls)
% 176.72/93.97 | (1035) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Transcendental_Oarctan(v1) = v2) | ~ (c_Transcendental_Oarctan(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v2, v3))
% 176.72/93.97 | (1036) ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v1) = v0)
% 176.72/93.97 | (1037) ! [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_Ozero__class_Ozero(v2) = v7 & ~ c_Orderings_Oord__class_Oless(v2, v7, v1)) | (c_Groups_Oone__class_Oone(v2) = v7 & c_Orderings_Oord__class_Oless(v2, v6, v7)) | (c_Groups_Oone__class_Oone(v2) = v7 & ~ c_Orderings_Oord__class_Oless(v2, v1, v7))))
% 176.72/93.97 | (1038) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v3))
% 176.72/93.97 | (1039) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0))
% 176.72/93.97 | (1040) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v0) | ? [v2] : ? [v3] : (hAPP(v2, all_0_48_48) = v3 & hAPP(all_0_44_44, v1) = v2 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v3)))
% 176.72/93.97 | (1041) ! [v0] : ! [v1] : (v1 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v1))
% 176.72/93.97 | (1042) class_Rings_Olinordered__ring(tc_RealDef_Oreal)
% 176.72/93.97 | (1043) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ class_Int_Onumber__ring(v1) | ? [v4] : (c_Groups_Ouminus__class_Ouminus(v1, v4) = v3 & c_Int_Onumber__class_Onumber__of(v1, v0) = v4))
% 176.72/93.98 | (1044) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless(v2, v1, v0) | ~ class_Orderings_Opreorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v1))
% 176.72/93.98 | (1045) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v3))
% 176.72/93.98 | (1046) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v1, v4) = v5) | ~ (c_Groups_Oone__class_Oone(v2) = v4) | ~ (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))
% 176.72/93.98 | (1047) class_Groups_Ocomm__monoid__add(tc_Nat_Onat)
% 176.72/93.98 | (1048) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Power_Opower__class_Opower(v2) = v1) | ~ (c_Power_Opower__class_Opower(v2) = v0))
% 176.72/93.98 | (1049) class_Rings_Ocomm__semiring__1(tc_RealDef_Oreal)
% 176.72/93.98 | (1050) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2))
% 176.72/93.98 | (1051) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v7) | c_Orderings_Oord__class_Oless__eq(v3, v4, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 176.72/93.98 | (1052) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v0) | c_Orderings_Oord__class_Oless__eq(v3, v1, v7) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 176.72/93.98 | (1053) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v4, v0) | c_Orderings_Oord__class_Oless__eq(v3, v7, v1) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))
% 176.72/93.98 | (1054) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v0) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v7, v1) | c_Orderings_Oord__class_Oless__eq(v3, v4, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v2, v8)))
% 176.72/93.98 | (1055) ! [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))
% 176.72/93.98 | (1056) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v2 = v0 | v1 = all_0_36_36 | ~ (hAPP(v5, v1) = v4) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v0) = v5))
% 176.72/93.98 | (1057) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0))
% 176.72/93.98 | (1058) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v3))
% 176.72/93.98 | (1059) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v0, all_0_46_46) = v1) | c_Nat_OSuc(v0) = v1)
% 176.72/93.98 | (1060) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | ~ class_Rings_Olinordered__idom(v2) | ~ class_Int_Onumber__ring(v2) | c_Orderings_Oord__class_Oless__eq(v2, v3, v4))
% 176.72/93.98 | (1061) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_0_36_36) | ~ (hAPP(v2, all_0_36_36) = v3) | ~ (hAPP(all_0_15_15, v1) = v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v3))
% 176.72/93.98 | (1062) ! [v0] : ! [v1] : (v1 = v0 | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0))
% 176.72/93.98 | (1063) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v0))
% 176.72/93.98 | (1064) class_Rings_Oring(tc_Int_Oint)
% 176.72/93.98 | (1065) ! [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))
% 176.72/93.98 | (1066) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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)))
% 176.72/93.98 | (1067) ! [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)
% 176.72/93.98 | (1068) ! [v0] : (v0 = all_0_36_36 | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, all_0_46_46))
% 176.72/93.98 | (1069) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | v1 = all_0_41_41 | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v0) = v4) | ~ (hAPP(all_0_40_40, v0) = v2))
% 176.72/93.98 | (1070) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v2, v3) = v4) | ? [v5] : (c_Int_Onumber__class_Onumber__of(tc_Int_Oint, v5) = v4 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v5))
% 176.72/93.99 | (1071) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_7_7, v0) = v1) | ? [v2] : (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v0) = v2 & hAPP(all_0_7_7, v1) = v2))
% 176.72/93.99 | (1072) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v0 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = all_0_41_41) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4))
% 176.72/93.99 | (1073) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v6 = v3 | ~ (c_Nat_OSuc(v0) = v5) | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Osemiring__0(v1) | ~ class_Power_Opower(v1))
% 176.72/93.99 | (1074) class_Orderings_Olinorder(tc_Code__Numeral_Ocode__numeral)
% 176.72/93.99 | (1075) ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0))
% 176.72/93.99 | (1076) ! [v0] : ! [v1] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1))
% 176.72/93.99 | (1077) ~ (all_0_2_2 = all_0_51_51)
% 176.72/93.99 | (1078) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0) | ? [v2] : ? [v3] : ( ~ (v3 = v0) & hAPP(v2, all_0_48_48) = v3 & hAPP(all_0_44_44, v1) = v2))
% 176.72/93.99 | (1079) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v6) | ~ (c_Groups_Oplus__class_Oplus(v1, v3, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v5, v6) = v7) | ~ (hAPP(v2, v4) = v5) | ~ class_Int_Onumber__ring(v1) | ? [v8] : (c_Int_OBit0(v0) = v8 & c_Int_Onumber__class_Onumber__of(v1, v8) = v7))
% 176.72/93.99 | (1080) class_Rings_Oordered__semiring(tc_Code__Numeral_Ocode__numeral)
% 176.72/93.99 | (1081) class_Rings_Ocomm__ring__1(tc_RealDef_Oreal)
% 176.72/93.99 | (1082) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v0) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v2) = v3) | ~ class_Int_Oring__char__0(v1) | ~ class_Int_Onumber__ring(v1) | ? [v4] : (( ~ c_Int_Oiszero(v1, v3) | (c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & c_Int_Oiszero(v1, v4))) & (c_Int_Oiszero(v1, v3) | (c_Int_Onumber__class_Onumber__of(v1, v0) = v4 & ~ c_Int_Oiszero(v1, v4)))))
% 176.72/93.99 | (1083) ! [v0] : ! [v1] : ( ~ (c_Fundamental__Theorem__Algebra__Mirabelle_Ocsqrt(v0) = v1) | ? [v2] : (hAPP(v2, all_0_48_48) = v0 & hAPP(all_0_45_45, v1) = v2))
% 176.72/93.99 | (1084) class_Groups_Ozero(tc_RealDef_Oreal)
% 176.72/93.99 | (1085) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_40_40, v4) = v5) | ~ (hAPP(all_0_40_40, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_40_40, v1) = v7))
% 176.72/93.99 | (1086) class_RealVector_Oreal__normed__field(tc_RealDef_Oreal)
% 176.72/93.99 | (1087) ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v0, v0)
% 176.72/93.99 | (1088) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v3 | ~ (c_Groups_Ozero__class_Ozero(v1) = v3) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Rings_Ocomm__semiring__1(v1))
% 176.72/93.99 | (1089) ! [v0] : ! [v1] : ! [v2] : (v2 = v1 | ~ (c_Int_OBit0(v0) = v2) | ~ (c_Int_OBit0(v0) = v1))
% 176.72/93.99 | (1090) ! [v0] : ! [v1] : ( ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1) | ? [v2] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1)))
% 176.72/93.99 | (1091) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower_Opower(v0, v1, v2) = v3) | ~ (c_Groups_Otimes__class_Otimes(v0) = v2) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Power_Opower(v0) | c_Power_Opower__class_Opower(v0) = v3)
% 176.72/93.99 | (1092) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v7, v2) = v8) | ~ (c_Groups_Otimes__class_Otimes(v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v6) = v7) | ~ (hAPP(v5, v2) = v6) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Ofield__inverse__zero(v3) | ? [v9] : ? [v10] : ((v10 = v8 & c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v9 & c_Groups_Oplus__class_Oplus(v3, v1, v9) = v8) | (v9 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2)))
% 176.72/93.99 | (1093) class_Groups_Ozero(tc_Code__Numeral_Ocode__numeral)
% 176.72/93.99 | (1094) ! [v0] : ! [v1] : ! [v2] : ( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, v0))
% 176.72/93.99 | (1095) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_35_35, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v3))
% 176.72/93.99 | (1096) c_NthRoot_Osqrt(all_0_51_51) = all_0_51_51
% 176.72/93.99 | (1097) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_50_50, v0) | (c_Groups_Oone__class_Oone(v1) = v3 & c_Orderings_Oord__class_Oless(v1, v3, v2))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, all_0_50_50, v0) | (c_Groups_Oone__class_Oone(v1) = v3 & ~ c_Orderings_Oord__class_Oless(v1, v3, v2)))))
% 176.72/93.99 | (1098) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (hAPP(all_0_22_22, v1) = v2) | ~ (hAPP(all_0_22_22, v0) = v3))
% 176.72/93.99 | (1099) class_Groups_Oordered__ab__group__add(tc_RealDef_Oreal)
% 176.72/93.99 | (1100) ! [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))
% 176.72/93.99 | (1101) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v4, v0) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_39_39, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v5, c_Int_OPls) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls))
% 176.72/93.99 | (1102) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v1) = v2) | ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls))
% 176.72/93.99 | (1103) c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, all_0_18_18)
% 176.72/93.99 | (1104) ! [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] : ((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_Groups_Oone__class_Oone(v2) = v6 & ~ c_Orderings_Oord__class_Oless__eq(v2, v0, v6))))
% 176.72/93.99 | (1105) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v3) | ~ (c_Groups_Oplus__class_Oplus(v1, v4, v3) = v5) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v3) = v4) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Int_Onumber__ring(v1) | ? [v6] : (c_Int_OBit1(v0) = v6 & c_Int_Onumber__class_Onumber__of(v1, v6) = v5))
% 176.72/93.99 | (1106) class_Rings_Ono__zero__divisors(tc_Int_Oint)
% 176.72/93.99 | (1107) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v0, v1, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v0, all_0_49_49) = v2) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Fields_Olinordered__field__inverse__zero(v0) | ~ class_Int_Onumber__ring(v0) | ? [v4] : (c_Groups_Ozero__class_Ozero(v0) = v4 & c_Orderings_Oord__class_Oless(v0, v4, v3)))
% 176.72/93.99 | (1108) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_44_44, v3) = v4) | ~ class_RealVector_Oreal__normed__div__algebra(v2) | ? [v6] : ? [v7] : ? [v8] : (c_RealVector_Onorm__class_Onorm(v2, v8) = v5 & c_Power_Opower__class_Opower(v2) = v6 & hAPP(v7, v0) = v8 & hAPP(v6, v1) = v7))
% 176.72/93.99 | (1109) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6))
% 176.72/93.99 | (1110) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v6, v7) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 176.72/93.99 | (1111) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, all_0_47_47)
% 176.72/93.99 | (1112) class_Rings_Oordered__comm__semiring(tc_Int_Oint)
% 176.72/93.99 | (1113) ! [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)))
% 176.72/93.99 | (1114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v0) = v4) | ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ (c_Groups_Oplus__class_Oplus(v3, v4, v5) = v6) | ~ class_Rings_Odivision__ring(v3) | ? [v7] : (c_Rings_Oinverse__class_Odivide(v3, v7, v0) = v6 & c_Groups_Oplus__class_Oplus(v3, v2, v1) = v7))
% 176.72/93.99 | (1115) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Olinorder(v1))
% 176.72/93.99 | (1116) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v4) = v2) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_39_39, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, all_0_47_47))
% 176.72/93.99 | (1117) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v2 | ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ class_Rings_Odivision__ring__inverse__zero(v1))
% 176.72/93.99 | (1118) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v4) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v1) = v4) | ~ (hAPP(v7, v4) = v8) | ~ (hAPP(v6, v0) = v7) | ~ class_Fields_Ofield__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ (v5 = v0) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ (v9 = v4) | v4 = v0) & (v9 = v4 | v8 = v2))) & (v5 = v0 | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((v9 = v4 & ~ (v4 = v0)) | ( ~ (v9 = v4) & ~ (v8 = v2)))))))
% 176.72/93.99 | (1119) ! [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))
% 176.72/93.99 | (1120) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : (v0 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v7] : ( ~ (v7 = v1) & c_NthRoot_Osqrt(v6) = v7))
% 176.72/93.99 | (1121) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v1 | ~ (c_NthRoot_Osqrt(v0) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v1) | ? [v4] : ( ~ (v4 = v0) & hAPP(v2, all_0_48_48) = v4))
% 176.72/93.99 | (1122) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v1, v0) = v3) | ~ class_Groups_Ogroup__add(v2) | ? [v4] : ? [v5] : (((v5 = v3 & c_Groups_Ozero__class_Ozero(v2) = v3) | ( ~ (v4 = v1) & c_Groups_Ouminus__class_Ouminus(v2, v0) = v4)) & ((v4 = v1 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v1) | ( ~ (v5 = v3) & c_Groups_Ozero__class_Ozero(v2) = v5))))
% 176.72/94.00 | (1123) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v3, v4) | (c_Orderings_Oord__class_Oless(v2, v4, v1) & c_Orderings_Oord__class_Oless(v2, v0, v4)) | (c_Orderings_Oord__class_Oless(v2, v4, v0) & c_Orderings_Oord__class_Oless(v2, v1, v4))) & (c_Orderings_Oord__class_Oless(v2, v3, v4) | (( ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4)) & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v0) | ~ c_Orderings_Oord__class_Oless(v2, v1, v4))))))
% 176.72/94.00 | (1124) ! [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_Oone__class_Oone(v1) = v5 & ( ~ (v5 = v4) | v4 = v0 | (v6 = v0 & c_Groups_Ouminus__class_Ouminus(v1, v4) = v0)) & (v5 = v4 | ( ~ (v6 = v0) & ~ (v5 = v0) & c_Groups_Ouminus__class_Ouminus(v1, v5) = v6))))
% 176.72/94.00 | (1125) class_Groups_Ocomm__monoid__add(tc_RealDef_Oreal)
% 176.72/94.00 | (1126) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_47_47) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v2) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0))
% 176.72/94.00 | (1127) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_RealVector_Oreal__normed__algebra(v1))
% 176.72/94.00 | (1128) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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))
% 176.72/94.00 | (1129) ? [v0] : ? [v1] : ! [v2] : ( ~ class_Orderings_Olinorder(v2) | c_Orderings_Oord__class_Oless(v2, v0, v1) | c_Orderings_Oord__class_Oless__eq(v2, v1, v0))
% 176.72/94.00 | (1130) class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)
% 176.72/94.00 | (1131) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v8, all_0_48_48) = v9) | ~ (hAPP(v6, v9) = v10) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v0) = v7) | ~ (hAPP(v3, v7) = v8) | ~ (hAPP(v3, v1) = v4) | ~ class_Groups_Omonoid__mult(v2) | ? [v11] : ? [v12] : (c_Nat_OSuc(v11) = v12 & hAPP(v4, v12) = v10 & hAPP(all_0_31_31, v0) = v11))
% 176.72/94.00 | (1132) ! [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))))
% 176.72/94.00 | (1133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v1 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = all_0_41_41) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4))
% 176.72/94.00 | (1134) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v3, v0) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ class_RealVector_Oreal__normed__field(v2) | ? [v5] : (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v5) = v4))
% 176.72/94.00 | (1135) ! [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)))
% 176.72/94.00 | (1136) ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_36_36, v0)
% 176.72/94.00 | (1137) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__idom(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & c_Orderings_Oord__class_Oless__eq(v2, v9, v8)))
% 176.72/94.00 | (1138) c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, c_Int_OMin) = all_0_50_50
% 176.72/94.00 | (1139) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_12_12 | v1 = all_0_47_47 | ~ (hAPP(v2, v0) = all_0_47_47) | ~ (hAPP(all_0_39_39, v1) = v2))
% 176.72/94.00 | (1140) ? [v0] : c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v0, v0)
% 176.72/94.00 | (1141) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit0(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3))
% 176.72/94.00 | (1142) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit0(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 176.72/94.00 | (1143) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v0, v1))
% 176.72/94.00 | (1144) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OMin) = v2) | ~ class_Fields_Ofield__inverse__zero(v1) | ~ class_Int_Onumber__ring(v1) | c_Groups_Ouminus__class_Ouminus(v1, v0) = v3)
% 176.72/94.00 | (1145) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_37_37, v4) = v5) | ~ (hAPP(all_0_37_37, v2) = v3) | ? [v7] : ? [v8] : (hAPP(v7, v0) = v8 & hAPP(v3, v8) = v6 & hAPP(all_0_35_35, v1) = v7))
% 176.72/94.00 | (1146) class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex)
% 176.72/94.00 | (1147) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 176.72/94.00 | (1148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v4, v6) = v7) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_40_40, v2) = v3) | ~ (hAPP(all_0_40_40, v1) = v5) | ? [v8] : ? [v9] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v2, v1) = v8 & hAPP(v9, v0) = v7 & hAPP(all_0_40_40, v8) = v9))
% 176.72/94.00 | (1149) class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_RealDef_Oreal)
% 176.72/94.00 | (1150) ! [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))
% 176.72/94.00 | (1151) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0))
% 176.72/94.00 | (1152) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(all_0_44_44, v3) = v4) | ~ class_RealVector_Oreal__normed__algebra__1(v2) | ? [v6] : ? [v7] : ? [v8] : ? [v9] : (c_RealVector_Onorm__class_Onorm(v2, v8) = v9 & c_Power_Opower__class_Opower(v2) = v6 & hAPP(v7, v0) = v8 & hAPP(v6, v1) = v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, v5)))
% 176.72/94.00 | (1153) c_Int_Onumber__class_Onumber__of(tc_Code__Numeral_Ocode__numeral, all_0_50_50) = all_0_43_43
% 176.72/94.00 | (1154) hAPP(all_0_44_44, v_y____) = all_0_4_4
% 176.72/94.00 | (1155) ! [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)))
% 176.72/94.00 | (1156) ! [v0] : ! [v1] : ! [v2] : (v2 = all_0_36_36 | ~ (hAPP(v1, all_0_36_36) = v2) | ~ (hAPP(all_0_35_35, v0) = v1))
% 176.72/94.00 | (1157) ! [v0] : ! [v1] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v0, all_0_47_47) = v1) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1))
% 176.72/94.00 | (1158) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Rings_Olinordered__idom(v2) | ? [v7] : (c_Groups_Ozero__class_Ozero(v2) = v7 & (v7 = v1 | ~ c_Orderings_Oord__class_Oless__eq(v2, v6, v7))))
% 176.72/94.00 | (1159) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v2) = v3) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Rings_Odivision__ring(v1))
% 176.72/94.00 | (1160) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Groups_Oplus__class_Oplus(v1, v0, v2) = v3) | ~ (c_Groups_Oone__class_Oone(v1) = v2) | ~ class_Rings_Olinordered__semidom(v1) | c_Orderings_Oord__class_Oless(v1, v0, v3))
% 176.72/94.00 | (1161) ! [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))))
% 176.72/94.00 | (1162) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v5) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (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))
% 176.72/94.00 | (1163) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v0) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v6) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v2, v0))
% 176.72/94.00 | (1164) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v4, v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0))
% 176.72/94.00 | (1165) class_Rings_Ozero__neq__one(tc_Complex_Ocomplex)
% 176.72/94.00 | (1166) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_40_40, v1) = v2) | ~ (hAPP(all_0_40_40, v0) = v4) | ? [v7] : (c_NthRoot_Osqrt(v6) = v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v7)))
% 176.72/94.00 | (1167) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v5, v2) = v6) | ~ class_Fields_Olinordered__field__inverse__zero(v3) | ? [v8] : (( ~ c_Orderings_Oord__class_Oless(v3, v2, v4) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless(v3, v8, v0) | c_Orderings_Oord__class_Oless(v3, v7, v1)) & (c_Orderings_Oord__class_Oless(v3, v8, v0) | (( ~ c_Orderings_Oord__class_Oless(v3, v0, v8) | c_Orderings_Oord__class_Oless(v3, v1, v7)) & (c_Orderings_Oord__class_Oless(v3, v2, v8) | c_Orderings_Oord__class_Oless(v3, v0, v8)))))) & (c_Orderings_Oord__class_Oless(v3, v2, v4) | (c_Groups_Ozero__class_Ozero(v3) = v8 & ((c_Orderings_Oord__class_Oless(v3, v8, v0) & ~ c_Orderings_Oord__class_Oless(v3, v7, v1)) | ( ~ c_Orderings_Oord__class_Oless(v3, v8, v0) & ((c_Orderings_Oord__class_Oless(v3, v0, v8) & ~ c_Orderings_Oord__class_Oless(v3, v1, v7)) | ( ~ c_Orderings_Oord__class_Oless(v3, v2, v8) & ~ c_Orderings_Oord__class_Oless(v3, v0, v8)))))))))
% 176.72/94.00 | (1168) ! [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))
% 176.72/94.00 | (1169) class_Groups_Omonoid__mult(tc_Code__Numeral_Ocode__numeral)
% 176.72/94.00 | (1170) class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint)
% 176.72/94.00 | (1171) class_Rings_Ozero__neq__one(tc_RealDef_Oreal)
% 176.72/94.01 | (1172) ! [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))))
% 176.72/94.01 | (1173) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_46_46 | v0 = all_0_36_36 | ~ (hAPP(v2, v0) = all_0_46_46) | ~ (hAPP(all_0_15_15, v1) = v2))
% 176.72/94.01 | (1174) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Rings_Oinverse__class_Odivide(v1, v0, v0) = v2) | ~ class_Rings_Odivision__ring(v1) | ? [v3] : ((v3 = v2 & c_Groups_Oone__class_Oone(v1) = v2) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0)))
% 176.72/94.01 | (1175) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v3, v0) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v4, v1))
% 176.72/94.01 | (1176) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v2) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v3, v0)))
% 176.72/94.01 | (1177) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v1) | ~ (c_RealVector_Onorm__class_Onorm(v3, v2) = v0))
% 176.72/94.01 | (1178) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Power_Opower__class_Opower(v2) = v5) | ~ (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))))
% 176.72/94.01 | (1179) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Nat_OSuc(v5) = v6) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v4, v6) = v7) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_31_31, v0) = v5) | ~ class_Rings_Olinordered__idom(v2) | ? [v8] : (c_Groups_Ozero__class_Ozero(v2) = v8 & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v8) | c_Orderings_Oord__class_Oless(v2, v7, v8))))
% 176.72/94.01 | (1180) class_Rings_Oidom(tc_Int_Oint)
% 176.72/94.01 | (1181) ! [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))))))
% 176.72/94.01 | (1182) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Power_Opower__class_Opower(v2) = v4) | ~ (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))
% 176.72/94.01 | (1183) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v1))
% 176.72/94.01 | (1184) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v1) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v0))
% 176.72/94.01 | (1185) class_Rings_Ocomm__semiring__1(tc_Nat_Onat)
% 176.72/94.01 | (1186) ! [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)))
% 176.72/94.01 | (1187) class_Rings_Oordered__cancel__semiring(tc_RealDef_Oreal)
% 176.72/94.01 | (1188) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3))
% 176.72/94.01 | (1189) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 176.72/94.01 | (1190) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v1))
% 176.72/94.01 | (1191) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v1) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OMin, v0))
% 176.72/94.01 | (1192) ! [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))
% 176.72/94.01 | (1193) ! [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)))))
% 176.72/94.01 | (1194) class_Fields_Ofield__inverse__zero(tc_RealDef_Oreal)
% 176.72/94.01 | (1195) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0))
% 176.72/94.01 | (1196) class_Rings_Olinordered__semiring(tc_Nat_Onat)
% 176.72/94.01 | (1197) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_39_39, v1) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v3) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0))
% 176.72/94.01 | (1198) ! [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] : (( ~ (v13 = v12) & c_Groups_Oplus__class_Oplus(v5, v1, v0) = v12 & c_Groups_Oone__class_Oone(v5) = v13) | (c_Groups_Ozero__class_Ozero(v5) = v12 & ( ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v1) | ~ c_Orderings_Oord__class_Oless__eq(v5, v12, v0)))))
% 176.72/94.01 | (1199) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_39_39, v0) = v2) | ? [v4] : (hAPP(v4, v0) = v3 & hAPP(all_0_39_39, v1) = v4))
% 176.72/94.01 | (1200) class_Rings_Osemiring__1(tc_Int_Oint)
% 176.72/94.01 | (1201) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OMin))
% 176.72/94.01 | (1202) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OMin) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OMin))
% 176.72/94.01 | (1203) ! [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_Orderings_Oord__class_Oless(v3, v6, v8) | (c_Groups_Ozero__class_Ozero(v3) = v9 & c_Orderings_Oord__class_Oless(v3, v9, v1) & c_Orderings_Oord__class_Oless(v3, v2, v0)) | (c_Groups_Ozero__class_Ozero(v3) = v9 & 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, v2, v0) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless(v3, v9, v1))) & ( ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless(v3, v1, v9)))))))
% 176.72/94.01 | (1204) ! [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))
% 176.72/94.01 | (1205) ? [v0] : ? [v1] : (v1 = v0 | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v1))
% 176.72/94.01 | (1206) ? [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)))
% 176.72/94.01 | (1207) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = all_0_36_36 | v1 = v0 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_35_35, v2) = v3))
% 176.72/94.01 | (1208) class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint)
% 176.72/94.01 | (1209) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Int_Onumber__class_Onumber__of(v1, v0) = v2) | ~ class_Rings_Olinordered__idom(v1) | ~ class_Int_Onumber__ring(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v1) = v3 & c_Orderings_Oord__class_Oless(v1, v2, v3))) & (c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | (c_Groups_Ozero__class_Ozero(v1) = v3 & ~ c_Orderings_Oord__class_Oless(v1, v2, v3)))))
% 176.72/94.01 | (1210) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = v3 | ~ (hAPP(v2, v0) = v4) | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_35_35, v1) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1))
% 176.72/94.01 | (1211) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v7) | ~ (hAPP(v4, v2) = v5) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v0) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v7) | ? [v8] : (c_Groups_Oone__class_Oone(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 176.72/94.01 | (1212) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v0 = all_0_36_36 | ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_37_37, v1) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v3))
% 176.72/94.01 | (1213) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls))
% 176.72/94.01 | (1214) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, c_Int_OPls))
% 176.72/94.01 | (1215) class_Groups_Oone(tc_Complex_Ocomplex)
% 176.72/94.01 | (1216) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v4 | ~ (c_Groups_Ozero__class_Ozero(v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (hAPP(v3, v4) = v5) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1))
% 176.72/94.01 | (1217) ? [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))
% 176.72/94.01 | (1218) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v4 = all_0_41_41 | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v3) = v4) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(v0, all_0_48_48) = v1) | ~ (hAPP(all_0_44_44, all_0_41_41) = v2) | ~ (hAPP(all_0_44_44, all_0_41_41) = v0))
% 176.72/94.01 | (1219) ! [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))))
% 176.72/94.01 | (1220) ! [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)))
% 176.72/94.01 | (1221) class_Groups_Ocancel__ab__semigroup__add(tc_RealDef_Oreal)
% 176.72/94.01 | (1222) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_NthRoot_Osqrt(v1) = v2) | ~ (c_NthRoot_Osqrt(v0) = v2))
% 176.72/94.01 | (1223) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v2) | ~ (c_Int_Onumber__class_Onumber__of(v1, v3) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, c_Int_OPls, v2) = v3) | ~ class_Int_Onumber__ring(v1) | ? [v5] : ? [v6] : (( ~ c_Int_Oiszero(v1, v4) | (v6 = v5 & c_Groups_Ozero__class_Ozero(v1) = v5 & c_Int_Onumber__class_Onumber__of(v1, v0) = v5)) & (c_Int_Oiszero(v1, v4) | ( ~ (v6 = v5) & c_Groups_Ozero__class_Ozero(v1) = v5 & c_Int_Onumber__class_Onumber__of(v1, v0) = v6))))
% 176.72/94.02 | (1224) ! [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))
% 176.72/94.02 | (1225) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Orderings_Opreorder(v3) | c_Orderings_Oord__class_Oless(v3, v2, v0))
% 176.72/94.02 | (1226) ! [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)
% 176.72/94.02 | (1227) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v3) = v9) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v5, v0) = v8) | ~ class_Fields_Ofield(v4) | ? [v10] : ? [v11] : ((c_Groups_Ozero__class_Ozero(v4) = v10 & (v10 = v3 | v10 = v2)) | (( ~ (v9 = v7) | (v11 = v10 & c_Rings_Oinverse__class_Odivide(v4, v1, v3) = v10 & c_Rings_Oinverse__class_Odivide(v4, v0, v2) = v10)) & (v9 = v7 | ( ~ (v11 = v10) & c_Rings_Oinverse__class_Odivide(v4, v1, v3) = v10 & c_Rings_Oinverse__class_Odivide(v4, v0, v2) = v11)))))
% 176.72/94.02 | (1228) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v3, v0))
% 176.72/94.02 | (1229) class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat)
% 176.72/94.02 | (1230) ! [v0] : ! [v1] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v0) = v1) | ? [v2] : ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint, v2) = v3 & c_Int_OBit0(v1) = v3 & c_Int_OBit0(v0) = v2))
% 176.72/94.02 | (1231) class_Rings_Ocomm__semiring(tc_RealDef_Oreal)
% 176.72/94.02 | (1232) ! [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))))
% 176.72/94.02 | (1233) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(v2, v3, v4) = v5) | ~ class_Int_Onumber__ring(v2) | ? [v6] : (c_Int_Onumber__class_Onumber__of(v2, v6) = v5 & c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v6))
% 176.72/94.02 | (1234) ! [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))))
% 176.72/94.02 | (1235) class_Rings_Odivision__ring__inverse__zero(tc_RealDef_Oreal)
% 176.72/94.02 | (1236) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v2, v1) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v0) = v5) | ~ (hAPP(v7, v1) = v8) | ~ (hAPP(v6, v5) = v7) | ~ class_Fields_Ofield__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ (v5 = v4) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ (v9 = v1) | v4 = v1) & (v9 = v1 | v8 = v2))) & (v5 = v4 | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((v9 = v1 & ~ (v5 = v1)) | ( ~ (v9 = v1) & ~ (v8 = v2)))))))
% 176.72/94.02 | (1237) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ class_Groups_Omonoid__add(v1))
% 176.72/94.02 | (1238) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v6, v9) = v10) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_27_27, v1) = v7) | ~ (hAPP(all_0_40_40, v7) = v8) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v11] : ? [v12] : (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v11 & hAPP(v12, all_0_48_48) = v10 & hAPP(all_0_44_44, v11) = v12))
% 176.72/94.02 | (1239) ! [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))
% 176.72/94.02 | (1240) ! [v0] : ! [v1] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v0, all_0_18_18) = v1) | ~ c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, all_0_41_41, v0) | c_Orderings_Oord__class_Oless(tc_RealDef_Oreal, v1, v0))
% 176.72/94.02 | (1241) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v4) | ~ (hAPP(all_0_44_44, v0) = v2) | ? [v7] : (c_NthRoot_Osqrt(v6) = v7 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v1, v7)))
% 176.72/94.02 | (1242) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (c_Power_Opower__class_Opower(v2) = v3) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__idom(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))))
% 176.72/94.02 | (1243) class_Rings_Oring__1__no__zero__divisors(tc_RealDef_Oreal)
% 176.72/94.02 | (1244) ! [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] : ((v1 = v0 | (v8 = v1 & c_Groups_Ouminus__class_Ouminus(v2, v0) = v1) | ( ~ (v7 = v6) & hAPP(v5, all_0_48_48) = v7 & hAPP(v4, all_0_48_48) = v6)) & ((v7 = v6 & hAPP(v5, all_0_48_48) = v6 & hAPP(v4, all_0_48_48) = v6) | ( ~ (v8 = v1) & ~ (v1 = v0) & c_Groups_Ouminus__class_Ouminus(v2, v0) = v8))))
% 176.72/94.02 | (1245) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v1, v0) = v5) | ~ (c_Groups_Otimes__class_Otimes(v3) = v6) | ~ (c_Int_Onumber__class_Onumber__of(v3, v2) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v6, v4) = v7) | ~ class_Fields_Ofield__inverse__zero(v3) | ~ class_Int_Onumber(v3) | ? [v9] : (( ~ (v5 = v4) | (c_Groups_Ozero__class_Ozero(v3) = v9 & ( ~ (v9 = v0) | v4 = v0) & (v9 = v0 | v8 = v1))) & (v5 = v4 | (c_Groups_Ozero__class_Ozero(v3) = v9 & ((v9 = v0 & ~ (v4 = v0)) | ( ~ (v9 = v0) & ~ (v8 = v1)))))))
% 176.72/94.02 | (1246) ! [v0] : (v0 = all_0_47_47 | v0 = c_Int_OPls | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, all_0_17_17) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v0))
% 176.72/94.02 | (1247) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v1, v4) | c_Orderings_Oord__class_Oless(v3, v7, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 176.72/94.02 | (1248) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless(v3, v7, v0) | c_Orderings_Oord__class_Oless(v3, v1, v4) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 176.72/94.02 | (1249) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v5) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v5))
% 176.72/94.02 | (1250) ! [v0] : ! [v1] : ! [v2] : (v1 = all_0_36_36 | v0 = all_0_46_46 | ~ (hAPP(v2, v0) = v1) | ~ (hAPP(all_0_35_35, v1) = v2))
% 176.72/94.02 | (1251) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ class_Orderings_Oorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v0, v2) | c_Orderings_Oord__class_Oless(v3, v0, v1))
% 176.72/94.02 | (1252) ! [v0] : ! [v1] : ( ~ (c_Nat_OSuc(v0) = v1) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v1))
% 176.72/94.02 | (1253) ! [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)))
% 176.72/94.02 | (1254) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v2))
% 176.72/94.02 | (1255) ! [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))
% 176.72/94.02 | (1256) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v1) = v3) | ~ (hAPP(all_0_35_35, v0) = v2) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_46_46, v0) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, v1, v3))
% 176.72/94.02 | (1257) class_Groups_Olinordered__ab__group__add(tc_RealDef_Oreal)
% 176.72/94.02 | (1258) ! [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))))
% 176.72/94.02 | (1259) ! [v0] : ! [v1] : (v1 = all_0_41_41 | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = c_Complex_Oii))
% 176.72/94.02 | (1260) ! [v0] : ! [v1] : ( ~ c_Orderings_Oord__class_Oless(v1, v0, v0) | ~ class_Orderings_Opreorder(v1))
% 176.72/94.02 | (1261) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v1) = v7) | ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v0) | ~ class_Rings_Olinordered__semidom(v3) | c_Orderings_Oord__class_Oless(v3, v6, v8) | ? [v9] : (c_Groups_Ozero__class_Ozero(v3) = v9 & ~ c_Orderings_Oord__class_Oless__eq(v3, v9, v2)))
% 176.72/94.02 | (1262) ! [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))))
% 176.72/94.02 | (1263) class_Rings_Olinordered__comm__semiring__strict(tc_RealDef_Oreal)
% 176.72/94.02 | (1264) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(v2, v1) = v3) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v0, v1) | ~ class_Groups_Oordered__ab__group__add(v2) | c_Orderings_Oord__class_Oless(v2, v3, v4))
% 176.72/94.02 | (1265) ! [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)))
% 176.72/94.02 | (1266) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v7) = v8) | ~ (c_NthRoot_Osqrt(v6) = v7) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v9] : (c_Groups_Oabs__class_Oabs(tc_RealDef_Oreal, v8) = v9 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v9, all_0_51_51)))
% 176.72/94.02 | (1267) class_Rings_Osemiring__1(tc_Complex_Ocomplex)
% 176.72/94.02 | (1268) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0) | ? [v2] : (hAPP(v2, all_0_48_48) = v0 & hAPP(all_0_44_44, v1) = v2))
% 176.72/94.03 | (1269) c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, all_0_36_36, all_0_36_36)
% 176.72/94.03 | (1270) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Olinordered__idom(v1) | ? [v4] : ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v4 & ( ~ (v4 = v0) | (hAPP(v3, all_0_48_48) = v5 & ~ c_Orderings_Oord__class_Oless(v1, v0, v5))) & (v4 = v0 | (hAPP(v3, all_0_48_48) = v5 & c_Orderings_Oord__class_Oless(v1, v4, v5)))))
% 176.72/94.03 | (1271) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Rings_Oinverse__class_Odivide(v4, v3, v0) = v5) | ~ (c_Rings_Oinverse__class_Odivide(v4, v2, v1) = v6) | ~ class_Fields_Olinordered__field(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) | ? [v7] : (c_Groups_Ozero__class_Ozero(v4) = v7 & ( ~ c_Orderings_Oord__class_Oless(v4, v7, v1) | ~ c_Orderings_Oord__class_Oless__eq(v4, v7, v3))))
% 176.72/94.03 | (1272) class_Rings_Osemiring(tc_Int_Oint)
% 176.72/94.03 | (1273) ! [v0] : ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, v0, v0)
% 176.72/94.03 | (1274) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Int_Onumber__class_Onumber__of(v1, c_Int_OPls) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ class_Int_Onumber__ring(v1))
% 176.72/94.03 | (1275) ! [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))
% 176.72/94.03 | (1276) ! [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))
% 177.08/94.03 | (1277) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v3) = v4) | ~ (c_Groups_Ouminus__class_Ouminus(v2, v0) = v3) | ~ class_Fields_Ofield__inverse__zero(v2) | ? [v5] : (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v5 & c_Groups_Ouminus__class_Ouminus(v2, v5) = v4))
% 177.08/94.03 | (1278) class_Groups_Oab__semigroup__mult(tc_RealDef_Oreal)
% 177.08/94.03 | (1279) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : (v5 = v0 | ~ (c_Groups_Otimes__class_Otimes(v1) = v2) | ~ (c_Groups_Oone__class_Oone(v1) = v3) | ~ (hAPP(v4, v0) = v5) | ~ (hAPP(v2, v3) = v4) | ~ class_Groups_Ocomm__monoid__mult(v1))
% 177.08/94.03 | (1280) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Int_OBit1(v2) = v1) | ~ (c_Int_OBit1(v2) = v0))
% 177.08/94.03 | (1281) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field__inverse__zero(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v3) | (c_Orderings_Oord__class_Oless(v2, v4, v1) & c_Orderings_Oord__class_Oless(v2, v4, v0)) | (c_Orderings_Oord__class_Oless(v2, v1, v4) & c_Orderings_Oord__class_Oless(v2, v0, v4))) & (c_Orderings_Oord__class_Oless(v2, v4, v3) | (( ~ c_Orderings_Oord__class_Oless(v2, v4, v1) | ~ c_Orderings_Oord__class_Oless(v2, v4, v0)) & ( ~ c_Orderings_Oord__class_Oless(v2, v1, v4) | ~ c_Orderings_Oord__class_Oless(v2, v0, v4))))))
% 177.08/94.03 | (1282) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (c_Nat_OSuc(v2) = v1) | ~ (c_Nat_OSuc(v2) = v0))
% 177.08/94.03 | (1283) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v5) = v6) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(v2, all_0_48_48) = v3) | ~ (hAPP(all_0_44_44, v1) = v2) | ~ (hAPP(all_0_44_44, v0) = v4) | ? [v7] : ? [v8] : (c_NthRoot_Osqrt(v6) = v8 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v7) = v8 & c_Complex_Ocomplex_OComplex(v1, v0) = v7))
% 177.08/94.03 | (1284) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, c_Int_OPls)
% 177.08/94.03 | (1285) ! [v0] : ! [v1] : ! [v2] : (v0 = all_0_46_46 | ~ (hAPP(v2, v0) = all_0_46_46) | ~ (hAPP(all_0_35_35, v1) = v2))
% 177.08/94.03 | (1286) ! [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))
% 177.08/94.03 | (1287) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v2, v1) | ~ c_Orderings_Oord__class_Oless(v3, v0, v2) | ~ class_Orderings_Oorder(v3) | c_Orderings_Oord__class_Oless(v3, v0, v1))
% 177.08/94.03 | (1288) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Ouminus__class_Ouminus(v0, v1) = v2) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Int_Onumber__ring(v0) | c_Int_Onumber__class_Onumber__of(v0, c_Int_OMin) = v2)
% 177.08/94.03 | (1289) c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, all_0_17_17)
% 177.08/94.03 | (1290) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ! [v11] : ! [v12] : ! [v13] : ! [v14] : ! [v15] : ! [v16] : ( ~ (c_NthRoot_Osqrt(v14) = v15) | ~ (c_NthRoot_Osqrt(v8) = v9) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v11, v13) = v14) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v9, v15) = v16) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v5, v7) = v8) | ~ (hAPP(v12, all_0_48_48) = v13) | ~ (hAPP(v10, all_0_48_48) = v11) | ~ (hAPP(v6, all_0_48_48) = v7) | ~ (hAPP(v4, all_0_48_48) = v5) | ~ (hAPP(all_0_44_44, v3) = v4) | ~ (hAPP(all_0_44_44, v2) = v10) | ~ (hAPP(all_0_44_44, v1) = v6) | ~ (hAPP(all_0_44_44, v0) = v12) | ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : (c_NthRoot_Osqrt(v23) = v24 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v19, v22) = v23 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v2) = v17 & c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v20 & hAPP(v21, all_0_48_48) = v22 & hAPP(v18, all_0_48_48) = v19 & hAPP(all_0_44_44, v20) = v21 & hAPP(all_0_44_44, v17) = v18 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v24, v16)))
% 177.08/94.03 | (1291) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_51_51, v0) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_51_51, v1))
% 177.08/94.03 | (1292) ! [v0] : ! [v1] : ( ~ (c_NthRoot_Osqrt(v0) = v1) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_51_51, v1) | c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_51_51, v0))
% 177.08/94.03 | (1293) c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, all_0_46_46)
% 177.08/94.03 | (1294) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v0, v1) = v3) | ~ class_Rings_Odivision__ring(v2) | ? [v4] : ((v4 = v1 & c_Groups_Ozero__class_Ozero(v2) = v1) | (( ~ (v1 = v0) | (v4 = v3 & c_Groups_Oone__class_Oone(v2) = v3)) & (v1 = v0 | ( ~ (v4 = v3) & c_Groups_Oone__class_Oone(v2) = v4)))))
% 177.08/94.03 | (1295) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OMin))
% 177.08/94.03 | (1296) ! [v0] : ! [v1] : ( ~ (c_Int_OBit1(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OMin) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OMin))
% 177.08/94.03 | (1297) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ (hAPP(all_0_35_35, v0) = v5) | c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat, v4, v6))
% 177.08/94.03 | (1298) class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint)
% 177.08/94.03 | (1299) c_Nat_OSuc(all_0_36_36) = all_0_46_46
% 177.08/94.03 | (1300) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (c_Complex_Ocomplex_Ocomplex__case(v4, v3, v2) = v1) | ~ (c_Complex_Ocomplex_Ocomplex__case(v4, v3, v2) = v0))
% 177.08/94.03 | (1301) class_Rings_Osemiring__0(tc_Complex_Ocomplex)
% 177.08/94.03 | (1302) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_47_47, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls))
% 177.08/94.03 | (1303) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, all_0_47_47, v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v2, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls))
% 177.08/94.03 | (1304) ! [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))
% 177.08/94.03 | (1305) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ( ~ (c_Groups_Otimes__class_Otimes(v2) = v3) | ~ (c_Groups_Oplus__class_Oplus(v2, v5, v7) = v8) | ~ (hAPP(v6, v0) = v7) | ~ (hAPP(v4, v1) = v5) | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v6) | ~ class_Rings_Olinordered__ring(v2) | ? [v9] : (c_Groups_Ozero__class_Ozero(v2) = v9 & c_Orderings_Oord__class_Oless__eq(v2, v9, v8)))
% 177.08/94.03 | (1306) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ c_Orderings_Oord__class_Oless(v3, v1, v0) | ~ class_Orderings_Opreorder(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v2, v1) | c_Orderings_Oord__class_Oless(v3, v2, v0))
% 177.08/94.03 | (1307) ! [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))
% 177.08/94.03 | (1308) ! [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))
% 177.08/94.03 | (1309) class_Groups_Oordered__cancel__ab__semigroup__add(tc_Code__Numeral_Ocode__numeral)
% 177.08/94.03 | (1310) class_Orderings_Opreorder(tc_Code__Numeral_Ocode__numeral)
% 177.08/94.03 | (1311) ! [v0] : ( ~ (c_Int_Onumber__class_Onumber__of(tc_Nat_Onat, v0) = all_0_36_36) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v0, c_Int_OPls))
% 177.08/94.03 | (1312) class_Groups_Olinordered__ab__group__add(tc_Int_Oint)
% 177.08/94.03 | (1313) class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint)
% 177.08/94.03 | (1314) class_Groups_Omonoid__mult(tc_Int_Oint)
% 177.08/94.03 | (1315) ! [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)))
% 177.08/94.03 | (1316) ! [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_39_39, v5) = v6) | ~ (hAPP(all_0_39_39, v2) = v9) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, v2) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, c_Int_OPls, v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v5) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v8) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, c_Int_OPls, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v4, v1))
% 177.08/94.03 | (1317) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Rings_Olinordered__idom(v1) | ? [v4] : ? [v5] : (c_Groups_Ozero__class_Ozero(v1) = v4 & hAPP(v3, all_0_48_48) = v5 & c_Orderings_Oord__class_Oless__eq(v1, v4, v5)))
% 177.08/94.03 | (1318) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | c_Orderings_Oord__class_Oless__eq(v3, v7, v0) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 177.08/94.03 | (1319) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v0, v2) = v4) | ~ (c_Groups_Otimes__class_Otimes(v3) = v5) | ~ (hAPP(v6, v2) = v7) | ~ (hAPP(v5, v1) = v6) | ~ class_Fields_Olinordered__field(v3) | ~ c_Orderings_Oord__class_Oless__eq(v3, v7, v0) | c_Orderings_Oord__class_Oless__eq(v3, v1, v4) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ~ c_Orderings_Oord__class_Oless(v3, v8, v2)))
% 177.08/94.03 | (1320) ! [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_36_36) = v4))
% 177.08/94.03 | (1321) class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)
% 177.08/94.03 | (1322) ! [v0] : (v0 = all_0_36_36 | ~ (c_Groups_Oplus__class_Oplus(tc_Nat_Onat, all_0_36_36, all_0_36_36) = v0))
% 177.08/94.03 | (1323) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls))
% 177.08/94.03 | (1324) ! [v0] : ! [v1] : ( ~ (c_Int_OBit0(v0) = v1) | ~ c_Orderings_Oord__class_Oless(tc_Int_Oint, v1, c_Int_OPls) | c_Orderings_Oord__class_Oless(tc_Int_Oint, v0, c_Int_OPls))
% 177.08/94.03 | (1325) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v3 = v0 | ~ (c_Groups_Ozero__class_Ozero(v1) = v2) | ~ (c_Groups_Oplus__class_Oplus(v1, v2, v0) = v3) | ~ class_Rings_Ocomm__semiring__1(v1))
% 177.08/94.04 | (1326) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_35_35, v0) = v1) | hAPP(v1, all_0_46_46) = v0)
% 177.08/94.04 | (1327) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3))
% 177.08/94.04 | (1328) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Int_OBit0(v1) = v2) | ~ (c_Int_OBit1(v0) = v3) | ~ c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v2, v3) | c_Orderings_Oord__class_Oless__eq(tc_Int_Oint, v1, v0))
% 177.08/94.04 | (1329) ! [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))
% 177.08/94.04 | (1330) ! [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))
% 177.08/94.04 | (1331) ! [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))))
% 177.08/94.04 | (1332) class_Int_Onumber(tc_Int_Oint)
% 177.08/94.04 | (1333) c_Nat_OSuc(all_0_46_46) = all_0_48_48
% 177.08/94.04 | (1334) class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)
% 177.08/94.04 | (1335) class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat)
% 177.08/94.04 | (1336) class_Rings_Olinordered__semiring__strict(tc_Nat_Onat)
% 177.08/94.04 | (1337) class_Rings_Oordered__cancel__semiring(tc_Int_Oint)
% 177.08/94.04 | (1338) ! [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))
% 177.08/94.04 | (1339) class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex)
% 177.08/94.04 | (1340) ! [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))))
% 177.08/94.04 | (1341) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v1 = v0 | ~ (hAPP(v3, v1) = v4) | ~ (hAPP(v3, v0) = v4) | ~ (hAPP(all_0_35_35, v2) = v3) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v2))
% 177.08/94.04 | (1342) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (hAPP(v2, v0) = v3) | ~ (hAPP(all_0_39_39, v1) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v3))
% 177.08/94.04 | (1343) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ( ~ (c_Rings_Oinverse__class_Odivide(v3, v6, v8) = v9) | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v0) = v8) | ~ (hAPP(v5, v0) = v6) | ~ (hAPP(v4, v2) = v7) | ~ (hAPP(v4, v1) = v5) | ~ class_Fields_Ofield(v3) | ? [v10] : ? [v11] : ? [v12] : ((v12 = v9 & c_Rings_Oinverse__class_Odivide(v3, v1, v2) = v10 & hAPP(v11, v0) = v9 & hAPP(v4, v10) = v11) | (v10 = v2 & c_Groups_Ozero__class_Ozero(v3) = v2)))
% 177.08/94.04 | (1344) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : ! [v8] : ! [v9] : ! [v10] : ( ~ (c_Rings_Oinverse__class_Odivide(v4, v7, v9) = v10) | ~ (c_Groups_Otimes__class_Otimes(v4) = v5) | ~ (hAPP(v8, v0) = v9) | ~ (hAPP(v6, v1) = v7) | ~ (hAPP(v5, v3) = v6) | ~ (hAPP(v5, v2) = v8) | ~ class_Fields_Ofield__inverse__zero(v4) | ? [v11] : ? [v12] : ? [v13] : (c_Rings_Oinverse__class_Odivide(v4, v3, v2) = v11 & c_Rings_Oinverse__class_Odivide(v4, v1, v0) = v13 & hAPP(v12, v13) = v10 & hAPP(v5, v11) = v12))
% 177.08/94.04 | (1345) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_Groups_Oplus__class_Oplus(v3, v2, v1) = v4) | ~ (c_Groups_Oplus__class_Oplus(v3, v0, v1) = v5) | ~ c_Orderings_Oord__class_Oless(v3, v4, v5) | ~ class_Groups_Oordered__ab__semigroup__add__imp__le(v3) | c_Orderings_Oord__class_Oless(v3, v2, v0))
% 177.08/94.04 | (1346) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v2) | ~ (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v0) = v3) | ~ (c_Complex_Ocomplex_OComplex(v2, v3) = v4) | ? [v5] : (c_Groups_Ouminus__class_Ouminus(tc_Complex_Ocomplex, v5) = v4 & c_Complex_Ocomplex_OComplex(v1, v0) = v5))
% 177.08/94.04 | (1347) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(v0, v1, v1) = v2) | ~ (c_Groups_Oone__class_Oone(v0) = v1) | ~ class_Rings_Olinordered__semidom(v0) | ? [v3] : (c_Groups_Ozero__class_Ozero(v0) = v3 & c_Orderings_Oord__class_Oless(v0, v3, v2)))
% 177.08/94.04 | (1348) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v1, v0) = v2) | ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v2) | ? [v3] : (c_Groups_Ouminus__class_Ouminus(tc_RealDef_Oreal, v1) = v3 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v3, v0)))
% 177.08/94.04 | (1349) ! [v0] : ! [v1] : ( ~ (hAPP(all_0_39_39, v0) = v1) | hAPP(v1, all_0_47_47) = v0)
% 177.08/94.04 | (1350) class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex)
% 177.08/94.04 | (1351) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1))
% 177.08/94.04 | (1352) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_Groups_Oplus__class_Oplus(tc_Int_Oint, v1, v0) = v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v2) | ~ c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v1) | c_Parity_Oeven__odd__class_Oeven(tc_Int_Oint, v0))
% 177.08/94.04 | (1353) ! [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))
% 177.08/94.04 | (1354) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Rings_Oinverse__class_Odivide(v2, v1, v0) = v3) | ~ class_Fields_Olinordered__field(v2) | ? [v4] : (c_Groups_Ozero__class_Ozero(v2) = v4 & ( ~ c_Orderings_Oord__class_Oless(v2, v4, v0) | ~ c_Orderings_Oord__class_Oless(v2, v1, v4) | c_Orderings_Oord__class_Oless(v2, v3, v4))))
% 177.08/94.04 | (1355) c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, all_0_48_48)
% 177.08/94.04 | (1356) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ( ~ (c_Power_Opower__class_Opower(v1) = v2) | ~ (hAPP(v2, v0) = v3) | ~ class_Groups_Omonoid__mult(v1) | hAPP(v3, all_0_46_46) = v0)
% 177.08/94.04 | (1357) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v3) = v2) | ~ (hAPP(all_0_27_27, v2) = v4) | ~ (hAPP(all_0_27_27, v0) = v3) | c_Rings_Oinverse__class_Odivide(tc_RealDef_Oreal, v1, v0) = v4)
% 177.08/94.04 | (1358) class_Rings_Ozero__neq__one(tc_Nat_Onat)
% 177.08/94.04 | (1359) ! [v0] : ~ (c_Int_OBit0(v0) = c_Int_OMin)
% 177.08/94.04 | (1360) hAPP(all_0_4_4, all_0_48_48) = all_0_3_3
% 177.08/94.04 | (1361) ! [v0] : ! [v1] : ! [v2] : ( ~ (c_RealVector_Onorm__class_Onorm(v1, v0) = v2) | ~ class_RealVector_Oreal__normed__vector(v1) | ? [v3] : (( ~ c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_0_41_41) | (v3 = v0 & c_Groups_Ozero__class_Ozero(v1) = v0)) & (c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v2, all_0_41_41) | ( ~ (v3 = v0) & c_Groups_Ozero__class_Ozero(v1) = v3))))
% 177.08/94.04 | (1362) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ! [v7] : (v2 = v0 | ~ (c_Power_Opower__class_Opower(v3) = v4) | ~ (hAPP(v7, v1) = v6) | ~ (hAPP(v5, v1) = v6) | ~ (hAPP(v4, v2) = v5) | ~ (hAPP(v4, v0) = v7) | ~ c_Orderings_Oord__class_Oless(tc_Nat_Onat, all_0_36_36, v1) | ~ class_Rings_Olinordered__semidom(v3) | ? [v8] : (c_Groups_Ozero__class_Ozero(v3) = v8 & ( ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v2) | ~ c_Orderings_Oord__class_Oless__eq(v3, v8, v0))))
% 177.08/94.04 | (1363) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : (v2 = v0 | ~ (c_Complex_Ocomplex_OComplex(v3, v2) = v4) | ~ (c_Complex_Ocomplex_OComplex(v1, v0) = v4))
% 177.08/94.04 | (1364) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ! [v6] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (c_RealVector_Onorm__class_Onorm(v2, v0) = v5) | ~ (hAPP(v4, v5) = v6) | ~ (hAPP(all_0_40_40, v3) = v4) | ~ class_RealVector_Oreal__normed__algebra(v2) | ? [v7] : ? [v8] : ? [v9] : ? [v10] : (c_Groups_Otimes__class_Otimes(v2) = v7 & c_RealVector_Onorm__class_Onorm(v2, v9) = v10 & hAPP(v8, v0) = v9 & hAPP(v7, v1) = v8 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v10, v6)))
% 177.08/94.04 | (1365) ! [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))
% 177.08/94.04 | (1366) ! [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))
% 177.08/94.04 | (1367) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ! [v5] : ( ~ (c_RealVector_Onorm__class_Onorm(v2, v1) = v3) | ~ (c_RealVector_Onorm__class_Onorm(v2, v0) = v4) | ~ (c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, v3, v4) = v5) | ~ class_RealVector_Oreal__normed__vector(v2) | ? [v6] : ? [v7] : (c_RealVector_Onorm__class_Onorm(v2, v6) = v7 & c_Groups_Oplus__class_Oplus(v2, v1, v0) = v6 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v7, v5)))
% 177.08/94.04 | (1368) ! [v0] : ! [v1] : ! [v2] : ! [v3] : ! [v4] : ( ~ (c_Int_Onumber__class_Onumber__of(v2, v1) = v3) | ~ (c_Int_Onumber__class_Onumber__of(v2, v0) = v4) | ~ c_Orderings_Oord__class_Oless(v2, v4, v3) | ~ class_Orderings_Olinorder(v2) | ~ c_Orderings_Oord__class_Oless__eq(v2, v3, v4) | ~ class_Int_Onumber(v2))
% 177.08/94.04 | (1369) class_Rings_Ozero__neq__one(tc_Int_Oint)
% 177.08/94.04 | (1370) class_Rings_Olinordered__ring(tc_Int_Oint)
% 177.08/94.04 | (1371) class_Rings_Olinordered__semiring__strict(tc_Code__Numeral_Ocode__numeral)
% 177.08/94.04 | (1372) class_Int_Onumber__ring(tc_Int_Oint)
% 177.08/94.04 |
% 177.08/94.04 | Instantiating formula (884) with v_z, v_x____, v_y____, all_0_1_1, all_0_0_0 and discharging atoms c_Complex_Ocomplex_OComplex(all_0_1_1, all_0_0_0) = v_z, c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v_z, yields:
% 177.08/94.04 | (1373) all_0_1_1 = v_x____
% 177.08/94.04 |
% 177.08/94.04 | Instantiating formula (1363) with v_z, v_x____, v_y____, all_0_1_1, all_0_0_0 and discharging atoms c_Complex_Ocomplex_OComplex(all_0_1_1, all_0_0_0) = v_z, c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v_z, yields:
% 177.08/94.04 | (1374) all_0_0_0 = v_y____
% 177.08/94.04 |
% 177.08/94.04 | From (1373)(1374) and (751) follows:
% 177.08/94.05 | (902) c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v_z
% 177.08/94.05 |
% 177.08/94.05 | Instantiating formula (1241) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, v_y____, v_x____ and discharging atoms c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_0_5_5, all_0_3_3) = all_0_2_2, hAPP(all_0_4_4, all_0_48_48) = all_0_3_3, hAPP(all_0_6_6, all_0_48_48) = all_0_5_5, hAPP(all_0_44_44, v_y____) = all_0_4_4, hAPP(all_0_44_44, v_x____) = all_0_6_6, yields:
% 177.08/94.05 | (1376) ? [v0] : (c_NthRoot_Osqrt(all_0_2_2) = v0 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____, v0))
% 177.08/94.05 |
% 177.08/94.05 | Instantiating formula (1283) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, v_x____, v_y____ and discharging atoms c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_0_5_5, all_0_3_3) = all_0_2_2, hAPP(all_0_4_4, all_0_48_48) = all_0_3_3, hAPP(all_0_6_6, all_0_48_48) = all_0_5_5, hAPP(all_0_44_44, v_y____) = all_0_4_4, hAPP(all_0_44_44, v_x____) = all_0_6_6, yields:
% 177.08/94.05 | (1377) ? [v0] : ? [v1] : (c_NthRoot_Osqrt(all_0_2_2) = v1 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v0) = v1 & c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v0)
% 177.08/94.05 |
% 177.08/94.05 | Instantiating formula (1023) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, v_x____, v_y____ and discharging atoms c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_0_5_5, all_0_3_3) = all_0_2_2, hAPP(all_0_4_4, all_0_48_48) = all_0_3_3, hAPP(all_0_6_6, all_0_48_48) = all_0_5_5, hAPP(all_0_44_44, v_y____) = all_0_4_4, hAPP(all_0_44_44, v_x____) = all_0_6_6, yields:
% 177.08/94.05 | (1378) ? [v0] : (c_NthRoot_Osqrt(all_0_2_2) = v0 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____, v0))
% 177.08/94.05 |
% 177.08/94.05 | Instantiating formula (778) with all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, v_x____, v_y____ and discharging atoms c_Groups_Oplus__class_Oplus(tc_RealDef_Oreal, all_0_5_5, all_0_3_3) = all_0_2_2, hAPP(all_0_4_4, all_0_48_48) = all_0_3_3, hAPP(all_0_6_6, all_0_48_48) = all_0_5_5, hAPP(all_0_44_44, v_y____) = all_0_4_4, hAPP(all_0_44_44, v_x____) = all_0_6_6, yields:
% 177.08/94.05 | (1379) ? [v0] : (c_NthRoot_Osqrt(all_0_2_2) = v0 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, v0))
% 177.08/94.05 |
% 177.08/94.05 | Instantiating (1379) with all_281_0_197 yields:
% 177.08/94.05 | (1380) c_NthRoot_Osqrt(all_0_2_2) = all_281_0_197 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, all_281_0_197)
% 177.08/94.05 |
% 177.08/94.05 | Applying alpha-rule on (1380) yields:
% 177.08/94.05 | (1381) c_NthRoot_Osqrt(all_0_2_2) = all_281_0_197
% 177.08/94.05 | (1382) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, all_0_41_41, all_281_0_197)
% 177.08/94.05 |
% 177.08/94.05 | Instantiating (1378) with all_305_0_217 yields:
% 177.08/94.05 | (1383) c_NthRoot_Osqrt(all_0_2_2) = all_305_0_217 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____, all_305_0_217)
% 177.08/94.05 |
% 177.08/94.05 | Applying alpha-rule on (1383) yields:
% 177.08/94.05 | (1384) c_NthRoot_Osqrt(all_0_2_2) = all_305_0_217
% 177.08/94.05 | (1385) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_x____, all_305_0_217)
% 177.08/94.05 |
% 177.08/94.05 | Instantiating (1377) with all_307_0_218, all_307_1_219 yields:
% 177.08/94.05 | (1386) c_NthRoot_Osqrt(all_0_2_2) = all_307_0_218 & c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_307_1_219) = all_307_0_218 & c_Complex_Ocomplex_OComplex(v_x____, v_y____) = all_307_1_219
% 177.08/94.05 |
% 177.08/94.05 | Applying alpha-rule on (1386) yields:
% 177.08/94.05 | (1387) c_NthRoot_Osqrt(all_0_2_2) = all_307_0_218
% 177.08/94.05 | (1388) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, all_307_1_219) = all_307_0_218
% 177.08/94.05 | (1389) c_Complex_Ocomplex_OComplex(v_x____, v_y____) = all_307_1_219
% 177.08/94.05 |
% 177.08/94.05 | Instantiating (1376) with all_351_0_259 yields:
% 177.08/94.05 | (1390) c_NthRoot_Osqrt(all_0_2_2) = all_351_0_259 & c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____, all_351_0_259)
% 177.08/94.05 |
% 177.08/94.05 | Applying alpha-rule on (1390) yields:
% 177.08/94.05 | (1391) c_NthRoot_Osqrt(all_0_2_2) = all_351_0_259
% 177.08/94.05 | (1392) c_Orderings_Oord__class_Oless__eq(tc_RealDef_Oreal, v_y____, all_351_0_259)
% 177.08/94.05 |
% 177.08/94.05 | Instantiating formula (410) with all_0_2_2 yields:
% 177.08/94.05 | (1393) all_0_2_2 = all_0_51_51 | ~ (c_NthRoot_Osqrt(all_0_2_2) = all_0_51_51)
% 177.08/94.05 |
% 177.08/94.05 | Instantiating formula (1033) with all_307_0_218, all_351_0_259, all_0_2_2 and discharging atoms c_NthRoot_Osqrt(all_0_2_2) = all_351_0_259, c_NthRoot_Osqrt(all_0_2_2) = all_307_0_218, yields:
% 177.08/94.05 | (1394) all_351_0_259 = all_307_0_218
% 177.08/94.05 |
% 177.08/94.05 | Instantiating formula (1033) with all_305_0_217, all_307_0_218, all_0_2_2 and discharging atoms c_NthRoot_Osqrt(all_0_2_2) = all_307_0_218, c_NthRoot_Osqrt(all_0_2_2) = all_305_0_217, yields:
% 177.08/94.05 | (1395) all_307_0_218 = all_305_0_217
% 177.08/94.05 |
% 177.08/94.05 | Instantiating formula (1033) with all_281_0_197, all_351_0_259, all_0_2_2 and discharging atoms c_NthRoot_Osqrt(all_0_2_2) = all_351_0_259, c_NthRoot_Osqrt(all_0_2_2) = all_281_0_197, yields:
% 177.08/94.05 | (1396) all_351_0_259 = all_281_0_197
% 177.08/94.05 |
% 177.08/94.05 | Instantiating formula (1177) with tc_Complex_Ocomplex, v_z, all_307_0_218, all_0_51_51 and discharging atoms c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) = all_0_51_51, yields:
% 177.08/94.05 | (1397) all_307_0_218 = all_0_51_51 | ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) = all_307_0_218)
% 177.08/94.05 |
% 177.08/94.05 | Instantiating formula (225) with all_307_1_219, v_z, v_x____, v_y____ and discharging atoms c_Complex_Ocomplex_OComplex(v_x____, v_y____) = all_307_1_219, c_Complex_Ocomplex_OComplex(v_x____, v_y____) = v_z, yields:
% 177.08/94.05 | (1398) all_307_1_219 = v_z
% 177.08/94.05 |
% 177.08/94.05 | Combining equations (1394,1396) yields a new equation:
% 177.08/94.05 | (1399) all_307_0_218 = all_281_0_197
% 177.08/94.05 |
% 177.08/94.05 | Simplifying 1399 yields:
% 177.08/94.05 | (1400) all_307_0_218 = all_281_0_197
% 177.08/94.05 |
% 177.08/94.05 | Combining equations (1395,1400) yields a new equation:
% 177.08/94.05 | (1401) all_305_0_217 = all_281_0_197
% 177.08/94.05 |
% 177.08/94.05 | Simplifying 1401 yields:
% 177.08/94.05 | (1402) all_305_0_217 = all_281_0_197
% 177.08/94.05 |
% 177.08/94.05 | From (1402) and (1384) follows:
% 177.08/94.05 | (1381) c_NthRoot_Osqrt(all_0_2_2) = all_281_0_197
% 177.08/94.05 |
% 177.08/94.05 | From (1398)(1400) and (1388) follows:
% 177.08/94.05 | (1404) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) = all_281_0_197
% 177.08/94.05 |
% 177.08/94.05 +-Applying beta-rule and splitting (1393), into two cases.
% 177.08/94.05 |-Branch one:
% 177.08/94.05 | (1405) ~ (c_NthRoot_Osqrt(all_0_2_2) = all_0_51_51)
% 177.08/94.05 |
% 177.08/94.05 +-Applying beta-rule and splitting (1397), into two cases.
% 177.08/94.05 |-Branch one:
% 177.08/94.05 | (1406) ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) = all_307_0_218)
% 177.08/94.05 |
% 177.08/94.05 | From (1400) and (1406) follows:
% 177.08/94.05 | (1407) ~ (c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) = all_281_0_197)
% 177.08/94.05 |
% 177.08/94.05 | Using (1404) and (1407) yields:
% 177.08/94.05 | (1408) $false
% 177.08/94.05 |
% 177.08/94.05 |-The branch is then unsatisfiable
% 177.08/94.05 |-Branch two:
% 177.08/94.05 | (1409) c_RealVector_Onorm__class_Onorm(tc_Complex_Ocomplex, v_z) = all_307_0_218
% 177.08/94.05 | (1410) all_307_0_218 = all_0_51_51
% 177.08/94.05 |
% 177.08/94.05 | Combining equations (1410,1400) yields a new equation:
% 177.08/94.05 | (1411) all_281_0_197 = all_0_51_51
% 177.08/94.05 |
% 177.08/94.05 | From (1411) and (1381) follows:
% 177.08/94.05 | (1412) c_NthRoot_Osqrt(all_0_2_2) = all_0_51_51
% 177.08/94.05 |
% 177.08/94.05 | Using (1412) and (1405) yields:
% 177.08/94.05 | (1408) $false
% 177.08/94.05 |
% 177.08/94.05 |-The branch is then unsatisfiable
% 177.08/94.05 |-Branch two:
% 177.08/94.05 | (1412) c_NthRoot_Osqrt(all_0_2_2) = all_0_51_51
% 177.08/94.05 | (1415) all_0_2_2 = all_0_51_51
% 177.08/94.05 |
% 177.08/94.05 | Equations (1415) can reduce 1077 to:
% 177.08/94.05 | (1416) $false
% 177.08/94.05 |
% 177.08/94.05 |-The branch is then unsatisfiable
% 177.08/94.05 % SZS output end Proof for theBenchmark
% 177.08/94.05
% 177.08/94.05 93451ms
%------------------------------------------------------------------------------