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CSE_E---1.7.THM-Ass.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : SWW285+1 : TPTP v9.2.1. Released v5.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% 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  : 300s
% DateTime : Tue May  5 05:31:02 PM UTC 2026

% Result   : Theorem 247.18s 174.24s
% Output   : Assurance 0s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWW285+1 : TPTP v9.2.1. Released v5.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.16/0.32  % Computer : n021.cluster.edu
% 0.16/0.32  % Model    : x86_64 x86_64
% 0.16/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.32  % Memory   : 8042.1875MB
% 0.16/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.32  % CPULimit   : 300
% 0.16/0.32  % WCLimit    : 300
% 0.16/0.32  % DateTime   : Tue May  5 06:33:55 EDT 2026
% 0.16/0.33  % CPUTime    : 
% 0.16/0.34  % start to proof: theBenchmark
% 247.18/174.24  % Version  : CSE_E---1.7
% 247.18/174.24  % Problem  : theBenchmark.p
% 247.18/174.24  % SZS status Theorem for theBenchmark.p
% 247.18/174.24  % SZS output start CNFRefutation
% 247.18/174.24  fof(fact_order__2, axiom, ![X17, X16, X5]:(class_Rings_Oidom(X5)=>(X16!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>~(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X5)),c_Polynomial_OpCons(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))),c_Nat_OSuc(c_Polynomial_Oorder(X5,X17,X16))),X16)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_order__2)).
% 247.18/174.24  fof(fact_order, axiom, ![X17, X16, X5]:(class_Rings_Oidom(X5)=>(X16!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X5)),c_Polynomial_OpCons(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))),c_Polynomial_Oorder(X5,X17,X16)),X16)&~(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X5)),c_Polynomial_OpCons(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))),c_Nat_OSuc(c_Polynomial_Oorder(X5,X17,X16))),X16))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_order)).
% 247.18/174.24  fof(fact_not__less__eq, axiom, ![X13, X43]:(~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13))<=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X13,c_Nat_OSuc(X43))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_not__less__eq)).
% 247.18/174.24  fof(fact_not__less__less__Suc__eq, axiom, ![X43, X13]:(~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X13,X43))=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X13,c_Nat_OSuc(X43))<=>X13=X43)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_not__less__less__Suc__eq)).
% 247.18/174.24  fof(fact_less__antisym, axiom, ![X18, X12]:(~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,X18))=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,c_Nat_OSuc(X18))=>X18=X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__antisym)).
% 247.18/174.24  fof(fact_less__SucE, axiom, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,c_Nat_OSuc(X12))=>(~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12))=>X18=X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__SucE)).
% 247.18/174.24  fof(fact_Suc__eq__plus1, axiom, ![X12]:c_Nat_OSuc(X12)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,c_Groups_Oone__class_Oone(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__eq__plus1)).
% 247.18/174.24  fof(fact_poly__decompose, axiom, ![X10, X5]:(class_Rings_Oidom(X5)=>(~(c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X5,X5,c_Polynomial_Opoly(X5,X10)))=>?[X63, X64]:((X64!=c_Groups_Ozero__class_Ozero(X5)&X63!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&?[X65]:(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X5,X65),X63),c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X5,X10)&![X23]:hAPP(c_Polynomial_Opoly(X5,X10),X23)=c_Groups_Oplus__class_Oplus(X5,hAPP(c_Polynomial_Opoly(X5,X10),c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X23),X63)),hAPP(c_Polynomial_Opoly(X5,c_Polynomial_OpCons(X5,X64,X65)),X23))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__decompose)).
% 247.18/174.24  fof(fact_realpow__two__diff, axiom, ![X33, X15, X5]:(class_Rings_Ocomm__ring__1(X5)=>c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X33),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X15,X33)),c_Groups_Oplus__class_Oplus(X5,X15,X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_realpow__two__diff)).
% 247.18/174.24  fof(fact_Suc__mult__less__cancel1, axiom, ![X13, X43, X47]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X47)),X43),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X47)),X13))<=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__mult__less__cancel1)).
% 247.18/174.24  fof(fact_realpow__two__disj, axiom, ![X20, X7, X5]:(class_Rings_Oidom(X5)=>(hAPP(hAPP(c_Power_Opower__class_Opower(X5),X7),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=hAPP(hAPP(c_Power_Opower__class_Opower(X5),X20),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))<=>(X7=X20|X7=c_Groups_Ouminus__class_Ouminus(X5,X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_realpow__two__disj)).
% 247.18/174.24  fof(fact_not__sum__squares__lt__zero, axiom, ![X33, X15, X5]:(class_Rings_Olinordered__ring(X5)=>~(c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X15),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X33),X33)),c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_not__sum__squares__lt__zero)).
% 247.18/174.24  fof(fact_power_Opower_Opower__Suc, axiom, ![X13, X14, X61, X62, X5]:hAPP(hAPP(c_Power_Opower_Opower(X5,X62,X61),X14),c_Nat_OSuc(X13))=hAPP(hAPP(X61,X14),hAPP(hAPP(c_Power_Opower_Opower(X5,X62,X61),X14),X13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power_Opower_Opower__Suc)).
% 247.18/174.24  fof(fact_mod__mult__self4, axiom, ![X18, X12, X42]:c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X12),X18)),X12)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X18),X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__self4)).
% 247.18/174.24  fof(fact_Suc__mult__cancel1, axiom, ![X13, X43, X47]:(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X47)),X43)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X47)),X13)<=>X43=X13), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__mult__cancel1)).
% 247.18/174.24  fof(fact_one__less__mult, axiom, ![X18, X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X12)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X18)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_one__less__mult)).
% 247.18/174.24  fof(fact_divide__less__eq, axiom, ![X14, X27, X19, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,X19,X27),X14)<=>((c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27)=>c_Orderings_Oord__class_Oless(X5,X19,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27)))&(~(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27))=>((c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27),X19))&(~(c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5)))=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X14))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__less__eq)).
% 247.18/174.24  fof(fact_less__divide__eq, axiom, ![X27, X19, X14, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless(X5,X14,c_Rings_Oinverse__class_Odivide(X5,X19,X27))<=>((c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27)=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27),X19))&(~(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27))=>((c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,X19,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27)))&(~(c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5)))=>c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ozero__class_Ozero(X5)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__divide__eq)).
% 247.18/174.24  fof(fact_int__power__div__base, axiom, ![X42, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X18)=>(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X42)=>c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X42),X18),X42)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X42),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_int__power__div__base)).
% 247.18/174.24  fof(fact_nat__lt__two__imp__zero__or__one, axiom, ![X15]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X15,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=>(X15=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X15=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__lt__two__imp__zero__or__one)).
% 247.18/174.24  fof(fact_nat__diff__split__asm, axiom, ![X19, X14, X31]:(hBOOL(hAPP(X31,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X14,X19)))<=>~(((c_Orderings_Oord__class_Oless(tc_Nat_Onat,X14,X19)&~(hBOOL(hAPP(X31,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))|?[X77]:(X14=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X19,X77)&~(hBOOL(hAPP(X31,X77))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__diff__split__asm)).
% 247.18/174.24  fof(fact_n__less__n__mult__m, axiom, ![X18, X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X12)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X18)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X12),X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_n__less__n__mult__m)).
% 247.18/174.24  fof(fact_n__less__m__mult__n, axiom, ![X18, X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X12)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X18)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_n__less__m__mult__n)).
% 247.18/174.24  fof(fact_Suc__diff__diff, axiom, ![X42, X12, X18]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X18),X12),c_Nat_OSuc(X42))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12),X42), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__diff__diff)).
% 247.18/174.24  fof(fact_power__Suc__less__one, axiom, ![X12, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless(X5,X17,c_Groups_Oone__class_Oone(X5))=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),c_Nat_OSuc(X12)),c_Groups_Oone__class_Oone(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__Suc__less__one)).
% 247.18/174.24  fof(fact_mod__Suc__eq__Suc__mod, axiom, ![X12, X18]:c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X18),X12)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12)),X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__Suc__eq__Suc__mod)).
% 247.18/174.24  fof(fact_power__gt1, axiom, ![X12, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),X17)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),c_Nat_OSuc(X12))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__gt1)).
% 247.18/174.24  fof(fact_mod__Suc, axiom, ![X12, X18]:((c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12))=X12=>c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X18),X12)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12))!=X12=>c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X18),X12)=c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__Suc)).
% 247.18/174.24  fof(fact_Suc__less__eq, axiom, ![X13, X43]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X43),c_Nat_OSuc(X13))<=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__less__eq)).
% 247.18/174.24  fof(fact_Suc__less__SucD, axiom, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X18),c_Nat_OSuc(X12))=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__less__SucD)).
% 247.18/174.24  fof(fact_Suc__pred, axiom, ![X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=>c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X12,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__pred)).
% 247.18/174.24  fof(fact_diff__Suc__less, axiom, ![X51, X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X12,c_Nat_OSuc(X51)),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__Suc__less)).
% 247.18/174.24  fof(fact_add__eq__if, axiom, ![X12, X18]:((X18=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X12)=X12)&(X18!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X12)=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__eq__if)).
% 247.18/174.24  fof(fact_Suc__times__mod__eq, axiom, ![X18, X42]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X42)=>c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X18)),X42)=c_Groups_Oone__class_Oone(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__times__mod__eq)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J, axiom, ![X24, X15, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X24)),X15)=hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),c_Nat_OSuc(X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J)).
% 247.18/174.24  fof(fact_power__Suc2, axiom, ![X12, X17, X5]:(class_Groups_Omonoid__mult(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),c_Nat_OSuc(X12))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12)),X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__Suc2)).
% 247.18/174.24  fof(fact_coeff__pCons__Suc, axiom, ![X12, X16, X17, X5]:(class_Groups_Ozero(X5)=>hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_OpCons(X5,X17,X16)),c_Nat_OSuc(X12))=hAPP(c_Polynomial_Ocoeff(X5,X16),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__pCons__Suc)).
% 247.18/174.24  fof(fact_mult__Suc, axiom, ![X12, X18]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X18)),X12)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__Suc)).
% 247.18/174.24  fof(fact_less__add__Suc1, axiom, ![X18, X51]:c_Orderings_Oord__class_Oless(tc_Nat_Onat,X51,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X51,X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__add__Suc1)).
% 247.18/174.24  fof(fact_less__add__Suc2, axiom, ![X18, X51]:c_Orderings_Oord__class_Oless(tc_Nat_Onat,X51,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X51))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__add__Suc2)).
% 247.18/174.24  fof(fact_dvd_Oless__trans, axiom, ![X41, X33, X15]:((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)&~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X15)))=>((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X41)&~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X41,X33)))=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X41)&~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X41,X15))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Oless__trans)).
% 247.18/174.24  fof(fact_Suc__mono, axiom, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X18),c_Nat_OSuc(X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__mono)).
% 247.18/174.24  fof(fact_less__Suc__eq__0__disj, axiom, ![X13, X43]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,c_Nat_OSuc(X13))<=>(X43=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|?[X73]:(X43=c_Nat_OSuc(X73)&c_Orderings_Oord__class_Oless(tc_Nat_Onat,X73,X13)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__Suc__eq__0__disj)).
% 247.18/174.24  fof(fact_monom__Suc, axiom, ![X12, X17, X5]:(class_Groups_Ozero(X5)=>c_Polynomial_Omonom(X5,X17,c_Nat_OSuc(X12))=c_Polynomial_OpCons(X5,c_Groups_Ozero__class_Ozero(X5),c_Polynomial_Omonom(X5,X17,X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_monom__Suc)).
% 247.18/174.24  fof(fact_power__Suc__0, axiom, ![X12]:hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X12)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__Suc__0)).
% 247.18/174.24  fof(fact_less__trans__Suc, axiom, ![X42, X49, X51]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X51,X49)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X49,X42)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X51),X42))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__trans__Suc)).
% 247.18/174.24  fof(fact_dvd__1__iff__1, axiom, ![X43]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X43,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))<=>X43=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__1__iff__1)).
% 247.18/174.24  fof(fact_diff__Suc__Suc, axiom, ![X12, X18]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X18),c_Nat_OSuc(X12))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__Suc__Suc)).
% 247.18/174.24  fof(fact_add__Suc__shift, axiom, ![X12, X18]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X18),X12)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,c_Nat_OSuc(X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__Suc__shift)).
% 247.18/174.24  fof(fact_diff__Suc__eq__diff__pred, axiom, ![X12, X18]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,c_Nat_OSuc(X12))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__Suc__eq__diff__pred)).
% 247.18/174.24  fof(fact_power__Suc, axiom, ![X12, X17, X5]:(class_Power_Opower(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),c_Nat_OSuc(X12))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__Suc)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J, axiom, ![X24, X15, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),c_Nat_OSuc(X24))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J, axiom, ![X24, X15, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X24))=hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),c_Nat_OSuc(X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J)).
% 247.18/174.24  fof(fact_add__Suc, axiom, ![X12, X18]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X18),X12)=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__Suc)).
% 247.18/174.24  fof(fact_add__Suc__right, axiom, ![X12, X18]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,c_Nat_OSuc(X12))=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__Suc__right)).
% 247.18/174.24  fof(fact_nat_Osize_I4_J, axiom, ![X66]:c_Nat_Osize__class_Osize(tc_Nat_Onat,c_Nat_OSuc(X66))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_Nat_Onat,X66),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat_Osize_I4_J)).
% 247.18/174.24  fof(fact_less__Suc__eq, axiom, ![X13, X43]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,c_Nat_OSuc(X13))<=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13)|X43=X13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__Suc__eq)).
% 247.18/174.24  fof(fact_Suc__lessD, axiom, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X18),X12)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__lessD)).
% 247.18/174.24  fof(fact_less__iff__Suc__add, axiom, ![X13, X43]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13)<=>?[X63]:X13=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X63))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__iff__Suc__add)).
% 247.18/174.24  fof(fact_dvd_Ole__less__trans, axiom, ![X41, X33, X15]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)=>((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X41)&~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X41,X33)))=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X41)&~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X41,X15))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Ole__less__trans)).
% 247.18/174.24  fof(fact_dvd_Oless__le__trans, axiom, ![X41, X33, X15]:((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)&~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X15)))=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X41)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X41)&~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X41,X15))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Oless__le__trans)).
% 247.18/174.24  fof(fact_Suc__lessI, axiom, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>(c_Nat_OSuc(X18)!=X12=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X18),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__lessI)).
% 247.18/174.24  fof(fact_mult__Suc__right, axiom, ![X12, X18]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),c_Nat_OSuc(X12))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__Suc__right)).
% 247.18/174.24  fof(fact_one__is__add, axiom, ![X13, X43]:(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X13)<=>((X43=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&X13=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|(X43=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)&X13=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_one__is__add)).
% 247.18/174.24  fof(fact_add__is__1, axiom, ![X13, X43]:(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X13)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))<=>((X43=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&X13=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|(X43=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)&X13=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__is__1)).
% 247.18/174.24  fof(fact_mult__eq__1__iff, axiom, ![X13, X43]:(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X43),X13)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))<=>(X43=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&X13=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__eq__1__iff)).
% 247.18/174.24  fof(fact_nat_Osize_I2_J, axiom, ![X66]:c_Nat_Onat_Onat__size(c_Nat_OSuc(X66))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_Onat_Onat__size(X66),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat_Osize_I2_J)).
% 247.18/174.24  fof(fact_less__Suc0, axiom, ![X13]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X13,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))<=>X13=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__Suc0)).
% 247.18/174.24  fof(fact_diff__less__Suc, axiom, ![X12, X18]:c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12),c_Nat_OSuc(X18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__less__Suc)).
% 247.18/174.24  fof(fact_not__square__less__zero, axiom, ![X17, X5]:(class_Rings_Olinordered__ring(X5)=>~(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X17),c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_not__square__less__zero)).
% 247.18/174.24  fof(fact_mod__geq, axiom, ![X12, X18]:(~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12))=>c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__geq)).
% 247.18/174.24  fof(fact_mod__if, axiom, ![X12, X18]:((c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12)=X18)&(~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12))=>c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__if)).
% 247.18/174.24  fof(fact_zdvd__not__zless, axiom, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X18)=>(c_Orderings_Oord__class_Oless(tc_Int_Oint,X18,X12)=>~(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X12,X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdvd__not__zless)).
% 247.18/174.24  fof(fact_nat__dvd__not__less, axiom, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X18)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X12,X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__dvd__not__less)).
% 247.18/174.24  fof(fact_Suc__diff__1, axiom, ![X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=>c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X12,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__diff__1)).
% 247.18/174.24  fof(fact_Suc__pred_H, axiom, ![X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=>X12=c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X12,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__pred_H)).
% 247.18/174.24  fof(fact_less__SucI, axiom, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,c_Nat_OSuc(X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__SucI)).
% 247.18/174.24  fof(fact_not__add__less1, axiom, ![X49, X51]:~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X51,X49),X51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_not__add__less1)).
% 247.18/174.24  fof(fact_not__add__less2, axiom, ![X51, X49]:~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X49,X51),X51)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_not__add__less2)).
% 247.18/174.24  fof(fact_nat__power__eq__Suc__0__iff, axiom, ![X43, X7]:(hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X7),X43)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))<=>(X43=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X7=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__power__eq__Suc__0__iff)).
% 247.18/174.24  fof(fact_degree__pCons__eq__if, axiom, ![X17, X16, X5]:(class_Groups_Ozero(X5)=>((X16=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>c_Polynomial_Odegree(X5,c_Polynomial_OpCons(X5,X17,X16))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(X16!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>c_Polynomial_Odegree(X5,c_Polynomial_OpCons(X5,X17,X16))=c_Nat_OSuc(c_Polynomial_Odegree(X5,X16))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__pCons__eq__if)).
% 247.18/174.24  fof(fact_degree__pCons__eq, axiom, ![X17, X16, X5]:(class_Groups_Ozero(X5)=>(X16!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>c_Polynomial_Odegree(X5,c_Polynomial_OpCons(X5,X17,X16))=c_Nat_OSuc(c_Polynomial_Odegree(X5,X16)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__pCons__eq)).
% 247.18/174.24  fof(fact_add__diff__inverse, axiom, ![X12, X18]:(~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12))=>c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12))=X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__diff__inverse)).
% 247.18/174.24  fof(fact_power__0__Suc, axiom, ![X12, X5]:((class_Power_Opower(X5)&class_Rings_Osemiring__0(X5))=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Groups_Ozero__class_Ozero(X5)),c_Nat_OSuc(X12))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__0__Suc)).
% 247.18/174.24  fof(fact_Suc__inject, axiom, ![X33, X15]:(c_Nat_OSuc(X15)=c_Nat_OSuc(X33)=>X15=X33), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__inject)).
% 247.18/174.24  fof(fact_nat_Oinject, axiom, ![X52, X53]:(c_Nat_OSuc(X53)=c_Nat_OSuc(X52)<=>X53=X52), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat_Oinject)).
% 247.18/174.24  fof(fact_sgn__poly__def, axiom, ![X15, X5]:(class_Rings_Olinordered__idom(X5)=>((X15=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X5),X15)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))&(X15!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>((c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X15)=>c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X5),X15)=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5)))&(~(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X15))=>c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X5),X15)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5)))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__poly__def)).
% 247.18/174.24  fof(fact_mod__1, axiom, ![X18]:c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__1)).
% 247.18/174.24  fof(fact_dvd_Ole__neq__trans, axiom, ![X25, X17]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X17,X25)=>(X17!=X25=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X17,X25)&~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X25,X17))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Ole__neq__trans)).
% 247.18/174.24  fof(fact_dvd_Ole__imp__less__or__eq, axiom, ![X33, X15]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)=>((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)&~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X15)))|X15=X33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Ole__imp__less__or__eq)).
% 247.18/174.24  fof(fact_dvd_Oneq__le__trans, axiom, ![X25, X17]:(X17!=X25=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X17,X25)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X17,X25)&~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X25,X17))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Oneq__le__trans)).
% 247.18/174.24  fof(fact_dvd_Oless__le, axiom, ![X20, X7]:((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X7,X20)&~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X20,X7)))<=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X7,X20)&X7!=X20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Oless__le)).
% 247.18/174.24  fof(fact_dvd_Ole__less, axiom, ![X20, X7]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X7,X20)<=>((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X7,X20)&~(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X20,X7)))|X7=X20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Ole__less)).
% 247.18/174.24  fof(fact_div__1, axiom, ![X18]:c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X18,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=X18, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__1)).
% 247.18/174.24  fof(fact_dvd__1__left, axiom, ![X42]:c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X42), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__1__left)).
% 247.18/174.24  fof(fact_diff__Suc__1, axiom, ![X12]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X12),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X12, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__Suc__1)).
% 247.18/174.24  fof(fact_zero__less__Suc, axiom, ![X12]:c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__less__Suc)).
% 247.18/174.24  fof(fact_lessI, axiom, ![X12]:c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,c_Nat_OSuc(X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_lessI)).
% 247.18/174.24  fof(fact_gr0__conv__Suc, axiom, ![X13]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X13)<=>?[X74]:X13=c_Nat_OSuc(X74)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_gr0__conv__Suc)).
% 247.18/174.24  fof(fact_sgn__if, axiom, ![X15, X5]:(class_Groups_Osgn__if(X5)=>((X15=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Osgn__class_Osgn(X5,X15)=c_Groups_Ozero__class_Ozero(X5))&(X15!=c_Groups_Ozero__class_Ozero(X5)=>((c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X15)=>c_Groups_Osgn__class_Osgn(X5,X15)=c_Groups_Oone__class_Oone(X5))&(~(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X15))=>c_Groups_Osgn__class_Osgn(X5,X15)=c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Oone__class_Oone(X5))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__if)).
% 247.18/174.24  fof(fact_fundamental__theorem__of__algebra, axiom, ![X10]:(~(c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,X10)))=>?[X23]:hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X10),X23)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_fundamental__theorem__of__algebra)).
% 247.18/174.24  fof(fact_linorder__neqE__linordered__idom, axiom, ![X33, X15, X5]:(class_Rings_Olinordered__idom(X5)=>(X15!=X33=>(~(c_Orderings_Oord__class_Oless(X5,X15,X33))=>c_Orderings_Oord__class_Oless(X5,X33,X15)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_linorder__neqE__linordered__idom)).
% 247.18/174.24  fof(fact_psize__def, axiom, ![X16, X5]:(class_Groups_Ozero(X5)=>((X16=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X5,X16)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(X16!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X5,X16)=c_Nat_OSuc(c_Polynomial_Odegree(X5,X16))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_psize__def)).
% 247.18/174.24  fof(fact_not__one__le__zero, axiom, ![X5]:(class_Rings_Olinordered__semidom(X5)=>~(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_not__one__le__zero)).
% 247.18/174.24  fof(fact_not__one__less__zero, axiom, ![X5]:(class_Rings_Olinordered__semidom(X5)=>~(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_not__one__less__zero)).
% 247.18/174.24  fof(fact_Suc__eq__plus1__left, axiom, ![X12]:c_Nat_OSuc(X12)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__eq__plus1__left)).
% 247.18/174.24  fof(fact_linorder__neqE__nat, axiom, ![X33, X15]:(X15!=X33=>(~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X15,X33))=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X33,X15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_linorder__neqE__nat)).
% 247.18/174.24  fof(fact_Suc__not__Zero, axiom, ![X18]:c_Nat_OSuc(X18)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__not__Zero)).
% 247.18/174.24  fof(fact_nat_Osimps_I3_J, axiom, ![X54]:c_Nat_OSuc(X54)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat_Osimps_I3_J)).
% 247.18/174.24  fof(fact_Suc__neq__Zero, axiom, ![X18]:c_Nat_OSuc(X18)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__neq__Zero)).
% 247.18/174.24  fof(fact_Zero__not__Suc, axiom, ![X18]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Zero__not__Suc)).
% 247.18/174.24  fof(fact_nat_Osimps_I2_J, axiom, ![X55]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(X55), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat_Osimps_I2_J)).
% 247.18/174.24  fof(fact_Zero__neq__Suc, axiom, ![X18]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Zero__neq__Suc)).
% 247.18/174.24  fof(fact_Suc__n__not__n, axiom, ![X12]:c_Nat_OSuc(X12)!=X12, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Suc__n__not__n)).
% 247.18/174.24  fof(fact_n__not__Suc__n, axiom, ![X12]:X12!=c_Nat_OSuc(X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_n__not__Suc__n)).
% 247.18/174.24  fof(fact_less__nat__zero__code, axiom, ![X12]:~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__nat__zero__code)).
% 247.18/174.24  fof(fact_not__less0, axiom, ![X12]:~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_not__less0)).
% 247.18/174.24  fof(fact_less__zeroE, axiom, ![X12]:~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__zeroE)).
% 247.18/174.24  fof(fact_less__irrefl__nat, axiom, ![X12]:~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__irrefl__nat)).
% 247.18/174.24  fof(fact_less__not__refl, axiom, ![X12]:~(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__not__refl)).
% 247.18/174.24  fof(fact_not__pos__poly__0, axiom, ![X5]:(class_Rings_Olinordered__idom(X5)=>~(c_Polynomial_Opos__poly(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_not__pos__poly__0)).
% 247.18/174.24  fof(help_c__fequal__1, axiom, ![X20, X7]:(~(hBOOL(c_fequal(X7,X20)))|X7=X20), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__fequal__1)).
% 247.18/174.24  fof(fact_mod__pCons, axiom, ![X15, X17, X33, X5]:(class_Fields_Ofield(X5)=>(X33!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,X17,X15),X33)=c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,X17,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33)),c_Polynomial_Osmult(X5,c_Rings_Oinverse__class_Odivide(X5,hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_OpCons(X5,X17,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33))),c_Polynomial_Odegree(X5,X33)),hAPP(c_Polynomial_Ocoeff(X5,X33),c_Polynomial_Odegree(X5,X33))),X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__pCons)).
% 247.18/174.24  fof(fact_poly__rec_Osimps, axiom, ![X10, X14, X2, X11, X5, X4]:(class_Groups_Ozero(X4)=>c_Polynomial_Opoly__rec(X5,X4,X11,X2,c_Polynomial_OpCons(X4,X14,X10))=hAPP(hAPP(hAPP(X2,X14),X10),c_If(X5,c_fequal(X10,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))),X11,c_Polynomial_Opoly__rec(X5,X4,X11,X2,X10)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__rec_Osimps)).
% 247.18/174.24  fof(fact_pdivmod__rel__mult, axiom, ![X83, X84, X41, X28, X24, X33, X15, X5]:(class_Fields_Ofield(X5)=>(c_Polynomial_Opdivmod__rel(X5,X15,X33,X24,X28)=>(c_Polynomial_Opdivmod__rel(X5,X24,X41,X84,X83)=>c_Polynomial_Opdivmod__rel(X5,X15,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X33),X41),X84,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X33),X83),X28))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel__mult)).
% 247.18/174.24  fof(fact_pdivmod__rel__pCons, axiom, ![X17, X25, X28, X24, X33, X15, X5]:(class_Fields_Ofield(X5)=>(c_Polynomial_Opdivmod__rel(X5,X15,X33,X24,X28)=>(X33!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>(X25=c_Rings_Oinverse__class_Odivide(X5,hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_OpCons(X5,X17,X28)),c_Polynomial_Odegree(X5,X33)),hAPP(c_Polynomial_Ocoeff(X5,X33),c_Polynomial_Odegree(X5,X33)))=>c_Polynomial_Opdivmod__rel(X5,c_Polynomial_OpCons(X5,X17,X15),X33,c_Polynomial_OpCons(X5,X25,X24),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,X17,X28),c_Polynomial_Osmult(X5,X25,X33))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel__pCons)).
% 247.18/174.24  fof(fact_poly__rec__pCons, axiom, ![X10, X14, X5, X11, X2, X4]:(class_Groups_Ozero(X4)=>(hAPP(hAPP(hAPP(X2,c_Groups_Ozero__class_Ozero(X4)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))),X11)=X11=>c_Polynomial_Opoly__rec(X5,X4,X11,X2,c_Polynomial_OpCons(X4,X14,X10))=hAPP(hAPP(hAPP(X2,X14),X10),c_Polynomial_Opoly__rec(X5,X4,X11,X2,X10)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__rec__pCons)).
% 247.18/174.24  fof(fact_DERIV__inverse__lemma, axiom, ![X8, X25, X17, X5]:(class_RealVector_Oreal__normed__field(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ominus__class_Ominus(X5,c_Rings_Oinverse__class_Oinverse(X5,X17),c_Rings_Oinverse__class_Oinverse(X5,X25)),X8)=c_Groups_Ouminus__class_Ouminus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Rings_Oinverse__class_Oinverse(X5,X17)),c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25),X8))),c_Rings_Oinverse__class_Oinverse(X5,X25)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_DERIV__inverse__lemma)).
% 247.18/174.24  fof(fact_pdivmod__rel__unique, axiom, ![X79, X80, X81, X82, X33, X15, X5]:(class_Fields_Ofield(X5)=>(c_Polynomial_Opdivmod__rel(X5,X15,X33,X82,X81)=>(c_Polynomial_Opdivmod__rel(X5,X15,X33,X80,X79)=>(X82=X80&X81=X79)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel__unique)).
% 247.18/174.24  fof(fact_pdivmod__rel__unique__div, axiom, ![X79, X80, X81, X82, X33, X15, X5]:(class_Fields_Ofield(X5)=>(c_Polynomial_Opdivmod__rel(X5,X15,X33,X82,X81)=>(c_Polynomial_Opdivmod__rel(X5,X15,X33,X80,X79)=>X82=X80))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel__unique__div)).
% 247.18/174.24  fof(fact_pdivmod__rel__unique__mod, axiom, ![X79, X80, X81, X82, X33, X15, X5]:(class_Fields_Ofield(X5)=>(c_Polynomial_Opdivmod__rel(X5,X15,X33,X82,X81)=>(c_Polynomial_Opdivmod__rel(X5,X15,X33,X80,X79)=>X81=X79))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel__unique__mod)).
% 247.18/174.24  fof(fact_coeff__linear__power, axiom, ![X12, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(c_Polynomial_Ocoeff(X5,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X5)),c_Polynomial_OpCons(X5,X17,c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))),X12)),X12)=c_Groups_Oone__class_Oone(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__linear__power)).
% 247.18/174.24  fof(fact_pdivmod__rel__smult__left, axiom, ![X17, X28, X24, X33, X15, X5]:(class_Fields_Ofield(X5)=>(c_Polynomial_Opdivmod__rel(X5,X15,X33,X24,X28)=>c_Polynomial_Opdivmod__rel(X5,c_Polynomial_Osmult(X5,X17,X15),X33,c_Polynomial_Osmult(X5,X17,X24),c_Polynomial_Osmult(X5,X17,X28)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel__smult__left)).
% 247.18/174.24  fof(fact_pdivmod__rel__smult__right, axiom, ![X28, X24, X33, X15, X17, X5]:(class_Fields_Ofield(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>(c_Polynomial_Opdivmod__rel(X5,X15,X33,X24,X28)=>c_Polynomial_Opdivmod__rel(X5,X15,c_Polynomial_Osmult(X5,X17,X33),c_Polynomial_Osmult(X5,c_Rings_Oinverse__class_Oinverse(X5,X17),X24),X28)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel__smult__right)).
% 247.18/174.24  fof(fact_mult_Oprod__diff__prod, axiom, ![X25, X17, X33, X15, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X33),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))=c_Groups_Oplus__class_Oplus(X5,c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X15,X17)),c_Groups_Ominus__class_Ominus(X5,X33,X25)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X15,X17)),X25)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Ominus__class_Ominus(X5,X33,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult_Oprod__diff__prod)).
% 247.18/174.24  fof(fact_DERIV__mult__lemma, axiom, ![X8, X32, X26, X25, X17, X5]:(class_RealVector_Oreal__field(X5)=>c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X32)),X8)=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ominus__class_Ominus(X5,X25,X32),X8)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ominus__class_Ominus(X5,X17,X26),X8)),X32))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_DERIV__mult__lemma)).
% 247.18/174.24  fof(fact_synthetic__div__correct_H, axiom, ![X16, X26, X5]:(class_Rings_Ocomm__ring__1(X5)=>c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),c_Polynomial_OpCons(X5,c_Groups_Ouminus__class_Ouminus(X5,X26),c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))),c_Polynomial_Osynthetic__div(X5,X16,X26)),c_Polynomial_OpCons(X5,hAPP(c_Polynomial_Opoly(X5,X16),X26),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))=X16), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_synthetic__div__correct_H)).
% 247.18/174.24  fof(fact_less__add__iff1, axiom, ![X40, X19, X27, X67, X14, X5]:(class_Rings_Oordered__ring(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X67),X27),c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X19),X67),X40))<=>c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X14,X19)),X67),X27),X40))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__add__iff1)).
% 247.18/174.24  fof(fact_less__add__iff2, axiom, ![X40, X19, X27, X67, X14, X5]:(class_Rings_Oordered__ring(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X67),X27),c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X19),X67),X40))<=>c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X19,X14)),X67),X40)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__add__iff2)).
% 247.18/174.24  fof(fact_order__1, axiom, ![X16, X17, X5]:(class_Rings_Oidom(X5)=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X5)),c_Polynomial_OpCons(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))),c_Polynomial_Oorder(X5,X17,X16)),X16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_order__1)).
% 247.18/174.24  fof(fact_pdivmod__rel__def, axiom, ![X78, X21, X20, X7, X5]:(class_Fields_Ofield(X5)=>(c_Polynomial_Opdivmod__rel(X5,X7,X20,X21,X78)<=>((X7=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X21),X20),X78)&(X20=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>X21=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))&(X20!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>(X78=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5,X78),c_Polynomial_Odegree(X5,X20))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel__def)).
% 247.18/174.24  fof(fact_Deriv_Oinverse__diff__inverse, axiom, ![X25, X17, X5]:(class_Rings_Odivision__ring(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Ominus__class_Ominus(X5,c_Rings_Oinverse__class_Oinverse(X5,X17),c_Rings_Oinverse__class_Oinverse(X5,X25))=c_Groups_Ouminus__class_Ouminus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Rings_Oinverse__class_Oinverse(X5,X17)),c_Groups_Ominus__class_Ominus(X5,X17,X25))),c_Rings_Oinverse__class_Oinverse(X5,X25)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Deriv_Oinverse__diff__inverse)).
% 247.18/174.24  fof(fact_div__poly__eq, axiom, ![X28, X24, X33, X15, X5]:(class_Fields_Ofield(X5)=>(c_Polynomial_Opdivmod__rel(X5,X15,X33,X24,X28)=>c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5),X15,X33)=X24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__poly__eq)).
% 247.18/174.24  fof(fact_mod__poly__eq, axiom, ![X28, X24, X33, X15, X5]:(class_Fields_Ofield(X5)=>(c_Polynomial_Opdivmod__rel(X5,X15,X33,X24,X28)=>c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33)=X28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__poly__eq)).
% 247.18/174.24  fof(fact_pdivmod__rel__0__iff, axiom, ![X78, X21, X20, X5]:(class_Fields_Ofield(X5)=>(c_Polynomial_Opdivmod__rel(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X20,X21,X78)<=>(X21=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))&X78=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel__0__iff)).
% 247.18/174.24  fof(fact_pdivmod__rel__by__0__iff, axiom, ![X78, X21, X7, X5]:(class_Fields_Ofield(X5)=>(c_Polynomial_Opdivmod__rel(X5,X7,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X21,X78)<=>(X21=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))&X78=X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel__by__0__iff)).
% 247.18/174.24  fof(fact_split__pos__lemma, axiom, ![X13, X31, X47]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X47)=>(hBOOL(hAPP(hAPP(X31,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X13,X47)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X13,X47)))<=>![X86, X73]:(((c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X73)&c_Orderings_Oord__class_Oless(tc_Int_Oint,X73,X47))&X13=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X47),X86),X73))=>hBOOL(hAPP(hAPP(X31,X86),X73))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_split__pos__lemma)).
% 247.18/174.24  fof(fact_split__neg__lemma, axiom, ![X13, X31, X47]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,X47,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=>(hBOOL(hAPP(hAPP(X31,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X13,X47)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X13,X47)))<=>![X86, X73]:(((c_Orderings_Oord__class_Oless(tc_Int_Oint,X47,X73)&c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X73,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))&X13=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X47),X86),X73))=>hBOOL(hAPP(hAPP(X31,X86),X73))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_split__neg__lemma)).
% 247.18/174.24  fof(fact_zdiv__zadd1__eq, axiom, ![X26, X25, X17]:c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X17,X25),X26)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X26),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X25,X26)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X26),c_Divides_Odiv__class_Omod(tc_Int_Oint,X25,X26)),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiv__zadd1__eq)).
% 247.18/174.24  fof(fact_div__add1__eq, axiom, ![X26, X25, X17]:c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X17,X25),X26)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X17,X26),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X25,X26)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X17,X26),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X25,X26)),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__add1__eq)).
% 247.18/174.24  fof(fact_degree__linear__power, axiom, ![X12, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Polynomial_Odegree(X5,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X5)),c_Polynomial_OpCons(X5,X17,c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))),X12))=X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__linear__power)).
% 247.18/174.24  fof(fact_poly__replicate__append, axiom, ![X15, X16, X12, X5]:(class_Rings_Ocomm__ring__1(X5)=>hAPP(c_Polynomial_Opoly(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),c_Polynomial_Omonom(X5,c_Groups_Oone__class_Oone(X5),X12)),X16)),X15)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X12)),hAPP(c_Polynomial_Opoly(X5,X16),X15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__replicate__append)).
% 247.18/174.24  fof(fact_div__mod__equality, axiom, ![X26, X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Divides_Odiv__class_Odiv(X5,X17,X25)),X25),c_Divides_Odiv__class_Omod(X5,X17,X25)),X26)=c_Groups_Oplus__class_Oplus(X5,X17,X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mod__equality)).
% 247.18/174.24  fof(fact_inf__period_I4_J, axiom, ![X56, X68, X40, X5]:((class_Rings_Ocomm__ring(X5)&class_Rings_Odvd(X5))=>(c_Rings_Odvd__class_Odvd(X5,X40,X68)=>![X3, X63]:(c_Rings_Odvd__class_Odvd(X5,X40,c_Groups_Oplus__class_Oplus(X5,X3,X56))<=>c_Rings_Odvd__class_Odvd(X5,X40,c_Groups_Oplus__class_Oplus(X5,c_Groups_Ominus__class_Ominus(X5,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X63),X68)),X56))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inf__period_I4_J)).
% 247.18/174.24  fof(fact_inf__period_I3_J, axiom, ![X56, X68, X40, X5]:((class_Rings_Ocomm__ring(X5)&class_Rings_Odvd(X5))=>(c_Rings_Odvd__class_Odvd(X5,X40,X68)=>![X3, X63]:(c_Rings_Odvd__class_Odvd(X5,X40,c_Groups_Oplus__class_Oplus(X5,X3,X56))<=>c_Rings_Odvd__class_Odvd(X5,X40,c_Groups_Oplus__class_Oplus(X5,c_Groups_Ominus__class_Ominus(X5,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X63),X68)),X56))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inf__period_I3_J)).
% 247.18/174.24  fof(fact_poly__rec__0, axiom, ![X5, X11, X2, X4]:(class_Groups_Ozero(X4)=>(hAPP(hAPP(hAPP(X2,c_Groups_Ozero__class_Ozero(X4)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4))),X11)=X11=>c_Polynomial_Opoly__rec(X5,X4,X11,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4)))=X11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__rec__0)).
% 247.18/174.24  fof(fact_pdivmod__rel, axiom, ![X33, X15, X5]:(class_Fields_Ofield(X5)=>c_Polynomial_Opdivmod__rel(X5,X15,X33,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5),X15,X33),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel)).
% 247.18/174.24  fof(fact_zdiv__zmod__equality2, axiom, ![X42, X25, X17]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X25)),X25),c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)),X42)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X17,X42), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiv__zmod__equality2)).
% 247.18/174.24  fof(fact_zdvd__period, axiom, ![X27, X56, X7, X40, X14]:(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X14,X40)=>(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X14,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X7,X56))<=>c_Rings_Odvd__class_Odvd(tc_Int_Oint,X14,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X7,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X27),X40)),X56)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdvd__period)).
% 247.18/174.24  fof(fact_inverse__add, axiom, ![X25, X17, X5]:(class_Fields_Ofield(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Rings_Oinverse__class_Oinverse(X5,X17),c_Rings_Oinverse__class_Oinverse(X5,X25))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oplus__class_Oplus(X5,X17,X25)),c_Rings_Oinverse__class_Oinverse(X5,X17))),c_Rings_Oinverse__class_Oinverse(X5,X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__add)).
% 247.18/174.24  fof(fact_poly__gcd__unique, axiom, ![X33, X15, X32, X5]:(class_Fields_Ofield(X5)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X32,X15)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X32,X33)=>(![X63]:(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X63,X15)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X63,X33)=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X63,X32)))=>((((X15=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))&X33=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))=>hAPP(c_Polynomial_Ocoeff(X5,X32),c_Polynomial_Odegree(X5,X32))=c_Groups_Ozero__class_Ozero(X5))&(~((X15=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))&X33=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))=>hAPP(c_Polynomial_Ocoeff(X5,X32),c_Polynomial_Odegree(X5,X32))=c_Groups_Oone__class_Oone(X5)))=>c_Polynomial_Opoly__gcd(X5,X15,X33)=X32))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd__unique)).
% 247.18/174.24  fof(fact_pdivmod__rel__0, axiom, ![X33, X5]:(class_Fields_Ofield(X5)=>c_Polynomial_Opdivmod__rel(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X33,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel__0)).
% 247.18/174.24  fof(fact_pdivmod__rel__by__0, axiom, ![X15, X5]:(class_Fields_Ofield(X5)=>c_Polynomial_Opdivmod__rel(X5,X15,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pdivmod__rel__by__0)).
% 247.18/174.24  fof(fact_eq__add__iff1, axiom, ![X40, X19, X27, X67, X14, X5]:(class_Rings_Oring(X5)=>(c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X67),X27)=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X19),X67),X40)<=>c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X14,X19)),X67),X27)=X40)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_eq__add__iff1)).
% 247.18/174.24  fof(fact_eq__add__iff2, axiom, ![X40, X19, X27, X67, X14, X5]:(class_Rings_Oring(X5)=>(c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X67),X27)=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X19),X67),X40)<=>X27=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X19,X14)),X67),X40))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_eq__add__iff2)).
% 247.18/174.24  fof(fact_zdiv__zmult1__eq, axiom, ![X26, X25, X17]:c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X17),X25),X26)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X17),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X25,X26)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X17),c_Divides_Odiv__class_Omod(tc_Int_Oint,X25,X26)),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiv__zmult1__eq)).
% 247.18/174.24  fof(fact_div__mult1__eq, axiom, ![X26, X25, X17]:c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),X25),X26)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X25,X26)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X17),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X25,X26)),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult1__eq)).
% 247.18/174.24  fof(fact_mult__diff__mult, axiom, ![X25, X17, X33, X15, X5]:(class_Rings_Oring(X5)=>c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X33),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),c_Groups_Ominus__class_Ominus(X5,X33,X25)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X15,X17)),X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__diff__mult)).
% 247.18/174.24  fof(fact_zmod__zmult2__eq, axiom, ![X25, X17, X26]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X26)=>c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X25),X26))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X25),c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X25),X26)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__zmult2__eq)).
% 247.18/174.24  fof(fact_div__mod__equality2, axiom, ![X26, X17, X25, X5]:(class_Divides_Osemiring__div(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),c_Divides_Odiv__class_Odiv(X5,X17,X25)),c_Divides_Odiv__class_Omod(X5,X17,X25)),X26)=c_Groups_Oplus__class_Oplus(X5,X17,X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mod__equality2)).
% 247.18/174.24  fof(fact_combine__common__factor, axiom, ![X26, X25, X39, X17, X5]:(class_Rings_Osemiring(X5)=>c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X39),c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X39),X26))=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oplus__class_Oplus(X5,X17,X25)),X39),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_combine__common__factor)).
% 247.18/174.24  fof(fact_division__ring__inverse__diff, axiom, ![X25, X17, X5]:(class_Rings_Odivision__ring(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Ominus__class_Ominus(X5,c_Rings_Oinverse__class_Oinverse(X5,X17),c_Rings_Oinverse__class_Oinverse(X5,X25))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Rings_Oinverse__class_Oinverse(X5,X17)),c_Groups_Ominus__class_Ominus(X5,X25,X17))),c_Rings_Oinverse__class_Oinverse(X5,X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_division__ring__inverse__diff)).
% 247.18/174.24  fof(fact_division__ring__inverse__add, axiom, ![X25, X17, X5]:(class_Rings_Odivision__ring(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Rings_Oinverse__class_Oinverse(X5,X17),c_Rings_Oinverse__class_Oinverse(X5,X25))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Rings_Oinverse__class_Oinverse(X5,X17)),c_Groups_Oplus__class_Oplus(X5,X17,X25))),c_Rings_Oinverse__class_Oinverse(X5,X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_division__ring__inverse__add)).
% 247.18/174.24  fof(fact_mod__lemma, axiom, ![X24, X25, X28, X26]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X26)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X28,X25)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X25),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X24,X26)),X28),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X25),X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__lemma)).
% 247.18/174.24  fof(fact_mod__mult2__eq, axiom, ![X26, X25, X17]:c_Divides_Odiv__class_Omod(tc_Nat_Onat,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X25),X26))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X25),c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X17,X25),X26)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X17,X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult2__eq)).
% 247.18/174.24  fof(fact_zdiv__zmod__equality, axiom, ![X42, X17, X25]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X25),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X25)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)),X42)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X17,X42), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiv__zmod__equality)).
% 247.18/174.24  fof(fact_coeff__mult__degree__sum, axiom, ![X24, X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(c_Polynomial_Ocoeff(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X16),X24)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X5,X16),c_Polynomial_Odegree(X5,X24)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(c_Polynomial_Ocoeff(X5,X16),c_Polynomial_Odegree(X5,X16))),hAPP(c_Polynomial_Ocoeff(X5,X24),c_Polynomial_Odegree(X5,X24)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__mult__degree__sum)).
% 247.18/174.24  fof(fact_unity__coeff__ex, axiom, ![X30, X31, X5]:((class_Rings_Odvd(X5)&class_Rings_Osemiring__0(X5))=>(?[X3]:hBOOL(hAPP(X31,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X30),X3)))<=>?[X3]:(c_Rings_Odvd__class_Odvd(X5,X30,c_Groups_Oplus__class_Oplus(X5,X3,c_Groups_Ozero__class_Ozero(X5)))&hBOOL(hAPP(X31,X3))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_unity__coeff__ex)).
% 247.18/174.24  fof(fact_left__add__mult__distrib, axiom, ![X42, X49, X50, X51]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X51),X50),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X49),X50),X42))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X51,X49)),X50),X42), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_left__add__mult__distrib)).
% 247.18/174.24  fof(fact_mod__mult__eq, axiom, ![X26, X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X26)=c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Divides_Odiv__class_Omod(X5,X17,X26)),c_Divides_Odiv__class_Omod(X5,X25,X26)),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__eq)).
% 247.18/174.24  fof(fact_diff__frac__eq, axiom, ![X57, X15, X41, X33, X5]:(class_Fields_Ofield(X5)=>(X33!=c_Groups_Ozero__class_Ozero(X5)=>(X41!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Ominus__class_Ominus(X5,c_Rings_Oinverse__class_Odivide(X5,X15,X33),c_Rings_Oinverse__class_Odivide(X5,X57,X41))=c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X41),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X57),X33)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X33),X41))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__frac__eq)).
% 247.18/174.24  fof(fact_add__frac__eq, axiom, ![X57, X15, X41, X33, X5]:(class_Fields_Ofield(X5)=>(X33!=c_Groups_Ozero__class_Ozero(X5)=>(X41!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Rings_Oinverse__class_Odivide(X5,X15,X33),c_Rings_Oinverse__class_Odivide(X5,X57,X41))=c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X41),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X57),X33)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X33),X41))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__frac__eq)).
% 247.18/174.24  fof(fact_sum__squares__gt__zero__iff, axiom, ![X20, X7, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X20),X20)))<=>(X7!=c_Groups_Ozero__class_Ozero(X5)|X20!=c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sum__squares__gt__zero__iff)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J, axiom, ![X34, X35, X36, X37, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),X36)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X35),X34))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X35),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),X36)),X34))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J)).
% 247.18/174.24  fof(fact_mult__pCons__left, axiom, ![X24, X16, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),c_Polynomial_OpCons(X5,X17,X16)),X24)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X17,X24),c_Polynomial_OpCons(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X16),X24)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__pCons__left)).
% 247.18/174.24  fof(fact_poly__eq__0__iff__dvd, axiom, ![X27, X10, X5]:(class_Rings_Oidom(X5)=>(hAPP(c_Polynomial_Opoly(X5,X10),X27)=c_Groups_Ozero__class_Ozero(X5)<=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,c_Groups_Ouminus__class_Ouminus(X5,X27),c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))),X10))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__eq__0__iff__dvd)).
% 247.18/174.24  fof(fact_offset__poly__pCons, axiom, ![X8, X16, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,c_Polynomial_OpCons(X5,X17,X16),X8)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X8,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,X16,X8)),c_Polynomial_OpCons(X5,X17,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,X16,X8)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_offset__poly__pCons)).
% 247.18/174.24  fof(fact_realpow__minus__mult, axiom, ![X15, X12, X5]:(class_Groups_Omonoid__mult(X5)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X12,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X15)=hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_realpow__minus__mult)).
% 247.18/174.24  fof(fact_dvd__iff__poly__eq__0, axiom, ![X10, X27, X5]:(class_Rings_Oidom(X5)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,X27,c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))),X10)<=>hAPP(c_Polynomial_Opoly(X5,X10),c_Groups_Ouminus__class_Ouminus(X5,X27))=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__iff__poly__eq__0)).
% 247.18/174.24  fof(fact_crossproduct__noteq, axiom, ![X40, X27, X19, X14, X5]:(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5)=>((X14!=X19&X27!=X40)<=>c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X19),X40))!=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X40),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X19),X27)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_crossproduct__noteq)).
% 247.18/174.24  fof(fact_crossproduct__eq, axiom, ![X11, X7, X20, X38, X5]:(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5)=>(c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X38),X20),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X11))=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X38),X11),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X20))<=>(X38=X7|X20=X11))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_crossproduct__eq)).
% 247.18/174.24  fof(fact_div__mult__div__if__dvd, axiom, ![X57, X41, X15, X33, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X33,X15)=>(c_Rings_Odvd__class_Odvd(X5,X41,X57)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Divides_Odiv__class_Odiv(X5,X15,X33)),c_Divides_Odiv__class_Odiv(X5,X57,X41))=c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X57),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X33),X41))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult__div__if__dvd)).
% 247.18/174.24  fof(fact_mult__pCons__right, axiom, ![X24, X17, X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X16),c_Polynomial_OpCons(X5,X17,X24))=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X17,X16),c_Polynomial_OpCons(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X16),X24)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__pCons__right)).
% 247.18/174.24  fof(fact_power__minus, axiom, ![X12, X17, X5]:(class_Rings_Oring__1(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Groups_Ouminus__class_Ouminus(X5,X17)),X12)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Oone__class_Oone(X5))),X12)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__minus)).
% 247.18/174.24  fof(fact_mod__diff__eq, axiom, ![X26, X25, X17, X5]:(class_Divides_Oring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25),X26)=c_Divides_Odiv__class_Omod(X5,c_Groups_Ominus__class_Ominus(X5,c_Divides_Odiv__class_Omod(X5,X17,X26),c_Divides_Odiv__class_Omod(X5,X25,X26)),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__diff__eq)).
% 247.18/174.24  fof(fact_mod__add__eq, axiom, ![X26, X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X26)=c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,c_Divides_Odiv__class_Omod(X5,X17,X26),c_Divides_Odiv__class_Omod(X5,X25,X26)),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__add__eq)).
% 247.18/174.24  fof(fact_split__mod, axiom, ![X47, X13, X31]:(hBOOL(hAPP(X31,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X13,X47)))<=>((X47=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>hBOOL(hAPP(X31,X13)))&(X47!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>![X86, X73]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X73,X47)=>(X13=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X86),X73)=>hBOOL(hAPP(X31,X73))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_split__mod)).
% 247.18/174.24  fof(fact_zmod__simps_I4_J, axiom, ![X25, X26, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Divides_Odiv__class_Omod(X5,X17,X26)),X25),X26)=c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__simps_I4_J)).
% 247.18/174.24  fof(fact_mod__mult__left__eq, axiom, ![X26, X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X26)=c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Divides_Odiv__class_Omod(X5,X17,X26)),X25),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__left__eq)).
% 247.18/174.24  fof(fact_pcompose__pCons, axiom, ![X24, X16, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Opcompose(X5,c_Polynomial_OpCons(X5,X17,X16),X24)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,X17,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X24),c_Polynomial_Opcompose(X5,X16,X24)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pcompose__pCons)).
% 247.18/174.24  fof(fact_gt__half__sum, axiom, ![X25, X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),c_Groups_Oplus__class_Oplus(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Oone__class_Oone(X5))),X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_gt__half__sum)).
% 247.18/174.24  fof(fact_less__half__sum, axiom, ![X25, X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>c_Orderings_Oord__class_Oless(X5,X17,c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),c_Groups_Oplus__class_Oplus(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Oone__class_Oone(X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__half__sum)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J, axiom, ![X34, X35, X36, X37, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),X36)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X35),X34))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),X35)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X36),X34))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J, axiom, ![X34, X35, X36, X37, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),X36)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X35),X34))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X36),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X35),X34)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J)).
% 247.18/174.24  fof(fact_divide__strict__left__mono, axiom, ![X26, X17, X25, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X25,X17)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))=>c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,X26,X17),c_Rings_Oinverse__class_Odivide(X5,X26,X25)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__strict__left__mono)).
% 247.18/174.24  fof(fact_divide__strict__left__mono__neg, axiom, ![X26, X25, X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>(c_Orderings_Oord__class_Oless(X5,X26,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))=>c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,X26,X17),c_Rings_Oinverse__class_Odivide(X5,X26,X25)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__strict__left__mono__neg)).
% 247.18/174.24  fof(fact_zpower__zmod, axiom, ![X33, X18, X15]:c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X15,X18)),X33),X18)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X15),X33),X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zpower__zmod)).
% 247.18/174.24  fof(fact_mod__div__equality, axiom, ![X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Divides_Odiv__class_Odiv(X5,X17,X25)),X25),c_Divides_Odiv__class_Omod(X5,X17,X25))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__div__equality)).
% 247.18/174.24  fof(fact_semiring__div__class_Omod__div__equality_H, axiom, ![X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Divides_Odiv__class_Omod(X5,X17,X25),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Divides_Odiv__class_Odiv(X5,X17,X25)),X25))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_semiring__div__class_Omod__div__equality_H)).
% 247.18/174.24  fof(fact_mult__poly__add__left, axiom, ![X28, X24, X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X16,X24)),X28)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X16),X28),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X24),X28))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__poly__add__left)).
% 247.18/174.24  fof(fact_nat__diff__split, axiom, ![X19, X14, X31]:(hBOOL(hAPP(X31,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X14,X19)))<=>((c_Orderings_Oord__class_Oless(tc_Nat_Onat,X14,X19)=>hBOOL(hAPP(X31,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))&![X77]:(X14=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X19,X77)=>hBOOL(hAPP(X31,X77))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__diff__split)).
% 247.18/174.24  fof(fact_mod__diff__cong, axiom, ![X48, X25, X45, X26, X17, X5]:(class_Divides_Oring__div(X5)=>(c_Divides_Odiv__class_Omod(X5,X17,X26)=c_Divides_Odiv__class_Omod(X5,X45,X26)=>(c_Divides_Odiv__class_Omod(X5,X25,X26)=c_Divides_Odiv__class_Omod(X5,X48,X26)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25),X26)=c_Divides_Odiv__class_Omod(X5,c_Groups_Ominus__class_Ominus(X5,X45,X48),X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__diff__cong)).
% 247.18/174.24  fof(fact_mod__add__cong, axiom, ![X48, X25, X45, X26, X17, X5]:(class_Divides_Osemiring__div(X5)=>(c_Divides_Odiv__class_Omod(X5,X17,X26)=c_Divides_Odiv__class_Omod(X5,X45,X26)=>(c_Divides_Odiv__class_Omod(X5,X25,X26)=c_Divides_Odiv__class_Omod(X5,X48,X26)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X26)=c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X45,X48),X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__add__cong)).
% 247.18/174.24  fof(fact_mult__monom, axiom, ![X12, X25, X18, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),c_Polynomial_Omonom(X5,X17,X18)),c_Polynomial_Omonom(X5,X25,X12))=c_Polynomial_Omonom(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__monom)).
% 247.18/174.24  fof(fact_mod__mult__cong, axiom, ![X48, X25, X45, X26, X17, X5]:(class_Divides_Osemiring__div(X5)=>(c_Divides_Odiv__class_Omod(X5,X17,X26)=c_Divides_Odiv__class_Omod(X5,X45,X26)=>(c_Divides_Odiv__class_Omod(X5,X25,X26)=c_Divides_Odiv__class_Omod(X5,X48,X26)=>c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X26)=c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X45),X48),X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__cong)).
% 247.18/174.24  fof(fact_power__Suc__less, axiom, ![X12, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless(X5,X17,c_Groups_Oone__class_Oone(X5))=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__Suc__less)).
% 247.18/174.24  fof(fact_div__dvd__div, axiom, ![X27, X19, X14, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X14,X19)=>(c_Rings_Odvd__class_Odvd(X5,X14,X27)=>(c_Rings_Odvd__class_Odvd(X5,c_Divides_Odiv__class_Odiv(X5,X19,X14),c_Divides_Odiv__class_Odiv(X5,X27,X14))<=>c_Rings_Odvd__class_Odvd(X5,X19,X27))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__dvd__div)).
% 247.18/174.24  fof(fact_odd__less__0, axiom, ![X11]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X11),X11),c_Groups_Ozero__class_Ozero(tc_Int_Oint))<=>c_Orderings_Oord__class_Oless(tc_Int_Oint,X11,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_odd__less__0)).
% 247.18/174.24  fof(fact_times__divide__times__eq, axiom, ![X57, X41, X33, X15, X5]:(class_Fields_Ofield__inverse__zero(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Rings_Oinverse__class_Odivide(X5,X15,X33)),c_Rings_Oinverse__class_Odivide(X5,X41,X57))=c_Rings_Oinverse__class_Odivide(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X41),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X33),X57))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_times__divide__times__eq)).
% 247.18/174.24  fof(fact_poly__mult, axiom, ![X15, X24, X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(c_Polynomial_Opoly(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X16),X24)),X15)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(c_Polynomial_Opoly(X5,X16),X15)),hAPP(c_Polynomial_Opoly(X5,X24),X15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__mult)).
% 247.18/174.24  fof(fact_mult__eq__if, axiom, ![X12, X18]:((X18=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X12)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(X18!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X12)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__eq__if)).
% 247.18/174.24  fof(fact_mult__mono_H, axiom, ![X32, X26, X25, X17, X5]:(class_Rings_Oordered__semiring(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>(c_Orderings_Oord__class_Oless__eq(X5,X26,X32)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X32))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__mono_H)).
% 247.18/174.24  fof(fact_mult__mono, axiom, ![X32, X26, X25, X17, X5]:(class_Rings_Oordered__semiring(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>(c_Orderings_Oord__class_Oless__eq(X5,X26,X32)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X25)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X32))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__mono)).
% 247.18/174.24  fof(fact_mult__less__le__imp__less, axiom, ![X32, X26, X25, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>(c_Orderings_Oord__class_Oless__eq(X5,X26,X32)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X32))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__less__le__imp__less)).
% 247.18/174.24  fof(fact_mult__le__less__imp__less, axiom, ![X32, X26, X25, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>(c_Orderings_Oord__class_Oless(X5,X26,X32)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X32))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__le__less__imp__less)).
% 247.18/174.24  fof(fact_mult__strict__mono_H, axiom, ![X32, X26, X25, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>(c_Orderings_Oord__class_Oless(X5,X26,X32)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X32))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__strict__mono_H)).
% 247.18/174.24  fof(fact_mult__strict__mono, axiom, ![X32, X26, X25, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>(c_Orderings_Oord__class_Oless(X5,X26,X32)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X25)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X32))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__strict__mono)).
% 247.18/174.24  fof(fact_synthetic__div__correct, axiom, ![X26, X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X16,c_Polynomial_Osmult(X5,X26,c_Polynomial_Osynthetic__div(X5,X16,X26)))=c_Polynomial_OpCons(X5,hAPP(c_Polynomial_Opoly(X5,X16),X26),c_Polynomial_Osynthetic__div(X5,X16,X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_synthetic__div__correct)).
% 247.18/174.24  fof(fact_power__mult__distrib, axiom, ![X12, X25, X17, X5]:(class_Groups_Ocomm__monoid__mult(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25)),X12)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X25),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__mult__distrib)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J, axiom, ![X24, X33, X15, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X33)),X24)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X24)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X33),X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J)).
% 247.18/174.24  fof(fact_div__power, axiom, ![X12, X15, X33, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X33,X15)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Divides_Odiv__class_Odiv(X5,X15,X33)),X12)=c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X12),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X33),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__power)).
% 247.18/174.24  fof(fact_zmod__zdiv__equality_H, axiom, ![X12, X18]:c_Divides_Odiv__class_Omod(tc_Int_Oint,X18,X12)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X18,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X18,X12)),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__zdiv__equality_H)).
% 247.18/174.24  fof(fact_div__add, axiom, ![X33, X15, X41, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X41,X15)=>(c_Rings_Odvd__class_Odvd(X5,X41,X33)=>c_Divides_Odiv__class_Odiv(X5,c_Groups_Oplus__class_Oplus(X5,X15,X33),X41)=c_Groups_Oplus__class_Oplus(X5,c_Divides_Odiv__class_Odiv(X5,X15,X41),c_Divides_Odiv__class_Odiv(X5,X33,X41))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__add)).
% 247.18/174.24  fof(fact_zdvd__reduce, axiom, ![X43, X13, X47]:(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X47,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X13,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X47),X43)))<=>c_Rings_Odvd__class_Odvd(tc_Int_Oint,X47,X13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdvd__reduce)).
% 247.18/174.24  fof(fact_real__squared__diff__one__factored, axiom, ![X15, X5]:(class_Rings_Oring__1(X5)=>c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X15),c_Groups_Oone__class_Oone(X5))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oplus__class_Oplus(X5,X15,c_Groups_Oone__class_Oone(X5))),c_Groups_Ominus__class_Ominus(X5,X15,c_Groups_Oone__class_Oone(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_real__squared__diff__one__factored)).
% 247.18/174.24  fof(fact_degree__diff__less, axiom, ![X24, X12, X16, X5]:(class_Groups_Oab__group__add(X5)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5,X16),X12)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5,X24),X12)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),X16,X24)),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__diff__less)).
% 247.18/174.24  fof(fact_degree__add__less, axiom, ![X24, X12, X16, X5]:(class_Groups_Ocomm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5,X16),X12)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5,X24),X12)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X16,X24)),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__add__less)).
% 247.18/174.24  fof(fact_poly__pCons, axiom, ![X15, X16, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(c_Polynomial_Opoly(X5,c_Polynomial_OpCons(X5,X17,X16)),X15)=c_Groups_Oplus__class_Oplus(X5,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),hAPP(c_Polynomial_Opoly(X5,X16),X15)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__pCons)).
% 247.18/174.24  fof(fact_power__less__power__Suc, axiom, ![X12, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),X17)=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__less__power__Suc)).
% 247.18/174.24  fof(fact_mult__right__le__imp__le, axiom, ![X25, X26, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless__eq(X5,X17,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__right__le__imp__le)).
% 247.18/174.24  fof(fact_mult__left__le__imp__le, axiom, ![X25, X17, X26, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless__eq(X5,X17,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__left__le__imp__le)).
% 247.18/174.24  fof(fact_mult__le__cancel__left__pos, axiom, ![X19, X14, X27, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27)=>(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X14),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X19))<=>c_Orderings_Oord__class_Oless__eq(X5,X14,X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__le__cancel__left__pos)).
% 247.18/174.24  fof(fact_mult__right__less__imp__less, axiom, ![X25, X26, X17, X5]:(class_Rings_Olinordered__semiring(X5)=>(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless(X5,X17,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__right__less__imp__less)).
% 247.18/174.24  fof(fact_mult__less__imp__less__right, axiom, ![X25, X26, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless(X5,X17,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__less__imp__less__right)).
% 247.18/174.24  fof(fact_mult__left__less__imp__less, axiom, ![X25, X17, X26, X5]:(class_Rings_Olinordered__semiring(X5)=>(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless(X5,X17,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__left__less__imp__less)).
% 247.18/174.24  fof(fact_mult__less__imp__less__left, axiom, ![X25, X17, X26, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless(X5,X17,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__less__imp__less__left)).
% 247.18/174.24  fof(fact_mult__less__cancel__left__pos, axiom, ![X19, X14, X27, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27)=>(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X14),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X19))<=>c_Orderings_Oord__class_Oless(X5,X14,X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__less__cancel__left__pos)).
% 247.18/174.24  fof(fact_mult__le__cancel__left__neg, axiom, ![X19, X14, X27, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X14),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X19))<=>c_Orderings_Oord__class_Oless__eq(X5,X19,X14)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__le__cancel__left__neg)).
% 247.18/174.24  fof(fact_mult__less__cancel__left__neg, axiom, ![X19, X14, X27, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X14),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X19))<=>c_Orderings_Oord__class_Oless(X5,X19,X14)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__less__cancel__left__neg)).
% 247.18/174.24  fof(fact_power__le__imp__le__exp, axiom, ![X12, X18, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),X17)=>(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X18),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))=>c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X18,X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__le__imp__le__exp)).
% 247.18/174.24  fof(fact_power__increasing__iff, axiom, ![X20, X7, X19, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),X19)=>(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X19),X7),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X19),X20))<=>c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X7,X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__increasing__iff)).
% 247.18/174.24  fof(fact_power__less__imp__less__exp, axiom, ![X12, X18, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),X17)=>(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X18),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__less__imp__less__exp)).
% 247.18/174.24  fof(fact_power__strict__increasing__iff, axiom, ![X20, X7, X19, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),X19)=>(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X19),X7),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X19),X20))<=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X7,X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__strict__increasing__iff)).
% 247.18/174.24  fof(fact_diff__pCons, axiom, ![X24, X25, X16, X17, X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,X17,X16),c_Polynomial_OpCons(X5,X25,X24))=c_Polynomial_OpCons(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),X16,X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__pCons)).
% 247.18/174.24  fof(fact_add__pCons, axiom, ![X24, X25, X16, X17, X5]:(class_Groups_Ocomm__monoid__add(X5)=>c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,X17,X16),c_Polynomial_OpCons(X5,X25,X24))=c_Polynomial_OpCons(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X16,X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__pCons)).
% 247.18/174.24  fof(fact_poly__power, axiom, ![X15, X12, X16, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(c_Polynomial_Opoly(X5,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X5)),X16),X12)),X15)=hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(c_Polynomial_Opoly(X5,X16),X15)),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__power)).
% 247.18/174.24  fof(fact_Deriv_Oadd__diff__add, axiom, ![X32, X25, X26, X17, X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Ominus__class_Ominus(X5,c_Groups_Oplus__class_Oplus(X5,X17,X26),c_Groups_Oplus__class_Oplus(X5,X25,X32))=c_Groups_Oplus__class_Oplus(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25),c_Groups_Ominus__class_Ominus(X5,X26,X32))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Deriv_Oadd__diff__add)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J, axiom, ![X32, X26, X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),c_Groups_Oplus__class_Oplus(X5,X26,X32))=c_Groups_Oplus__class_Oplus(X5,c_Groups_Oplus__class_Oplus(X5,X17,X26),c_Groups_Oplus__class_Oplus(X5,X25,X32))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J)).
% 247.18/174.24  fof(fact_zmod__simps_I1_J, axiom, ![X25, X26, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,c_Divides_Odiv__class_Omod(X5,X17,X26),X25),X26)=c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__simps_I1_J)).
% 247.18/174.24  fof(fact_zmod__simps_I2_J, axiom, ![X26, X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X17,c_Divides_Odiv__class_Omod(X5,X25,X26)),X26)=c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__simps_I2_J)).
% 247.18/174.24  fof(fact_mod__diff__left__eq, axiom, ![X26, X25, X17, X5]:(class_Divides_Oring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25),X26)=c_Divides_Odiv__class_Omod(X5,c_Groups_Ominus__class_Ominus(X5,c_Divides_Odiv__class_Omod(X5,X17,X26),X25),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__diff__left__eq)).
% 247.18/174.24  fof(fact_mod__add__left__eq, axiom, ![X26, X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X26)=c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,c_Divides_Odiv__class_Omod(X5,X17,X26),X25),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__add__left__eq)).
% 247.18/174.24  fof(fact_mod__diff__right__eq, axiom, ![X26, X25, X17, X5]:(class_Divides_Oring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25),X26)=c_Divides_Odiv__class_Omod(X5,c_Groups_Ominus__class_Ominus(X5,X17,c_Divides_Odiv__class_Omod(X5,X25,X26)),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__diff__right__eq)).
% 247.18/174.24  fof(fact_mod__add__right__eq, axiom, ![X26, X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X26)=c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X17,c_Divides_Odiv__class_Omod(X5,X25,X26)),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__add__right__eq)).
% 247.18/174.24  fof(fact_power__decreasing, axiom, ![X17, X72, X12, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X12,X72)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,c_Groups_Oone__class_Oone(X5))=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X72),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__decreasing)).
% 247.18/174.24  fof(fact_power__strict__decreasing, axiom, ![X17, X72, X12, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,X72)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless(X5,X17,c_Groups_Oone__class_Oone(X5))=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X72),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__strict__decreasing)).
% 247.18/174.24  fof(fact_poly__gcd__monic, axiom, ![X33, X15, X5]:(class_Fields_Ofield(X5)=>(((X15=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))&X33=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))=>hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_Opoly__gcd(X5,X15,X33)),c_Polynomial_Odegree(X5,c_Polynomial_Opoly__gcd(X5,X15,X33)))=c_Groups_Ozero__class_Ozero(X5))&(~((X15=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))&X33=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))=>hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_Opoly__gcd(X5,X15,X33)),c_Polynomial_Odegree(X5,c_Polynomial_Opoly__gcd(X5,X15,X33)))=c_Groups_Oone__class_Oone(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd__monic)).
% 247.18/174.24  fof(fact_div__mult__self2, axiom, ![X26, X17, X25, X5]:(class_Divides_Osemiring__div(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Divides_Odiv__class_Odiv(X5,c_Groups_Oplus__class_Oplus(X5,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26)),X25)=c_Groups_Oplus__class_Oplus(X5,X26,c_Divides_Odiv__class_Odiv(X5,X17,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult__self2)).
% 247.18/174.24  fof(fact_div__mult__self1, axiom, ![X26, X17, X25, X5]:(class_Divides_Osemiring__div(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Divides_Odiv__class_Odiv(X5,c_Groups_Oplus__class_Oplus(X5,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25)),X25)=c_Groups_Oplus__class_Oplus(X5,X26,c_Divides_Odiv__class_Odiv(X5,X17,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult__self1)).
% 247.18/174.24  fof(fact_divide__diff__eq__iff, axiom, ![X33, X15, X41, X5]:(class_Fields_Ofield(X5)=>(X41!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Ominus__class_Ominus(X5,c_Rings_Oinverse__class_Odivide(X5,X15,X41),X33)=c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ominus__class_Ominus(X5,X15,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X41),X33)),X41))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__diff__eq__iff)).
% 247.18/174.24  fof(fact_divide__add__eq__iff, axiom, ![X33, X15, X41, X5]:(class_Fields_Ofield(X5)=>(X41!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Rings_Oinverse__class_Odivide(X5,X15,X41),X33)=c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oplus__class_Oplus(X5,X15,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X41),X33)),X41))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__add__eq__iff)).
% 247.18/174.24  fof(fact_add__frac__num, axiom, ![X41, X15, X33, X5]:(class_Fields_Ofield__inverse__zero(X5)=>(X33!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Rings_Oinverse__class_Odivide(X5,X15,X33),X41)=c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oplus__class_Oplus(X5,X15,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X41),X33)),X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__frac__num)).
% 247.18/174.24  fof(fact_diff__divide__eq__iff, axiom, ![X33, X15, X41, X5]:(class_Fields_Ofield(X5)=>(X41!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Ominus__class_Ominus(X5,X15,c_Rings_Oinverse__class_Odivide(X5,X33,X41))=c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X41),X15),X33),X41))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__divide__eq__iff)).
% 247.18/174.24  fof(fact_add__divide__eq__iff, axiom, ![X33, X15, X41, X5]:(class_Fields_Ofield(X5)=>(X41!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Oplus__class_Oplus(X5,X15,c_Rings_Oinverse__class_Odivide(X5,X33,X41))=c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X41),X15),X33),X41))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__divide__eq__iff)).
% 247.18/174.24  fof(fact_add__num__frac, axiom, ![X15, X41, X33, X5]:(class_Fields_Ofield__inverse__zero(X5)=>(X33!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Oplus__class_Oplus(X5,X41,c_Rings_Oinverse__class_Odivide(X5,X15,X33))=c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oplus__class_Oplus(X5,X15,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X41),X33)),X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__num__frac)).
% 247.18/174.24  fof(fact_nonzero__power__divide, axiom, ![X12, X17, X25, X5]:(class_Fields_Ofield(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Rings_Oinverse__class_Odivide(X5,X17,X25)),X12)=c_Rings_Oinverse__class_Odivide(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X25),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nonzero__power__divide)).
% 247.18/174.24  fof(fact_mult__less__cancel__left__disj, axiom, ![X19, X14, X27, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X14),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X19))<=>((c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27)&c_Orderings_Oord__class_Oless(X5,X14,X19))|(c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5))&c_Orderings_Oord__class_Oless(X5,X19,X14))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__less__cancel__left__disj)).
% 247.18/174.24  fof(fact_mult__less__cancel__right__disj, axiom, ![X19, X27, X14, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X19),X27))<=>((c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27)&c_Orderings_Oord__class_Oless(X5,X14,X19))|(c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5))&c_Orderings_Oord__class_Oless(X5,X19,X14))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__less__cancel__right__disj)).
% 247.18/174.24  fof(fact_mod__mult__right__eq, axiom, ![X26, X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X26)=c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Divides_Odiv__class_Omod(X5,X25,X26)),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__right__eq)).
% 247.18/174.24  fof(fact_mod__mult__mult2, axiom, ![X25, X26, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Divides_Odiv__class_Omod(X5,X17,X25)),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__mult2)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J, axiom, ![X25, X18, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X18),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X18))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oplus__class_Oplus(X5,X17,X25)),X18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J)).
% 247.18/174.24  fof(fact_mult__left_Odiff, axiom, ![X44, X33, X15, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X15,X33)),X44)=c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X44),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X33),X44))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__left_Odiff)).
% 247.18/174.24  fof(fact_mult_Odiff__left, axiom, ![X25, X45, X17, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ominus__class_Ominus(X5,X17,X45)),X25)=c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X45),X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult_Odiff__left)).
% 247.18/174.24  fof(fact_mult_Oadd__left, axiom, ![X25, X45, X17, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oplus__class_Oplus(X5,X17,X45)),X25)=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X45),X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult_Oadd__left)).
% 247.18/174.24  fof(fact_mult__left_Oadd, axiom, ![X44, X33, X15, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oplus__class_Oplus(X5,X15,X33)),X44)=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X44),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X33),X44))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__left_Oadd)).
% 247.18/174.24  fof(fact_comm__semiring__class_Odistrib, axiom, ![X26, X25, X17, X5]:(class_Rings_Ocomm__semiring(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oplus__class_Oplus(X5,X17,X25)),X26)=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__class_Odistrib)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J, axiom, ![X26, X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oplus__class_Oplus(X5,X17,X25)),X26)=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J)).
% 247.18/174.24  fof(fact_power__divide, axiom, ![X12, X25, X17, X5]:(class_Fields_Ofield__inverse__zero(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Rings_Oinverse__class_Odivide(X5,X17,X25)),X12)=c_Rings_Oinverse__class_Odivide(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X25),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__divide)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J, axiom, ![X24, X16, X15, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X16)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X24))=hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X16,X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J)).
% 247.18/174.24  fof(fact_power__add, axiom, ![X12, X18, X17, X5]:(class_Groups_Omonoid__mult(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X12))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X18)),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__add)).
% 247.18/174.24  fof(fact_zdiff__zmod__left, axiom, ![X33, X18, X15]:c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X15,X18),X33),X18)=c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X15,X33),X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiff__zmod__left)).
% 247.18/174.24  fof(fact_zdiff__zmod__right, axiom, ![X18, X33, X15]:c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X15,c_Divides_Odiv__class_Omod(tc_Int_Oint,X33,X18)),X18)=c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X15,X33),X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiff__zmod__right)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J, axiom, ![X35, X36, X37, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),X36)),X35)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),X35)),X36)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J)).
% 247.18/174.24  fof(fact_dvd__div__mult, axiom, ![X26, X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X17,X25)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Divides_Odiv__class_Odiv(X5,X25,X17)),X26)=c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26),X17))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__div__mult)).
% 247.18/174.24  fof(fact_pos__less__divide__eq, axiom, ![X19, X14, X27, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27)=>(c_Orderings_Oord__class_Oless(X5,X14,c_Rings_Oinverse__class_Odivide(X5,X19,X27))<=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27),X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pos__less__divide__eq)).
% 247.18/174.24  fof(fact_neg__divide__less__eq, axiom, ![X14, X19, X27, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,X19,X27),X14)<=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27),X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__divide__less__eq)).
% 247.18/174.24  fof(fact_pos__divide__less__eq, axiom, ![X14, X19, X27, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27)=>(c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,X19,X27),X14)<=>c_Orderings_Oord__class_Oless(X5,X19,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pos__divide__less__eq)).
% 247.18/174.24  fof(fact_neg__less__divide__eq, axiom, ![X19, X14, X27, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless(X5,X14,c_Rings_Oinverse__class_Odivide(X5,X19,X27))<=>c_Orderings_Oord__class_Oless(X5,X19,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__less__divide__eq)).
% 247.18/174.24  fof(fact_mult__imp__div__pos__less, axiom, ![X41, X15, X33, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X33)=>(c_Orderings_Oord__class_Oless(X5,X15,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X41),X33))=>c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,X15,X33),X41)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__imp__div__pos__less)).
% 247.18/174.24  fof(fact_mult__imp__less__div__pos, axiom, ![X15, X41, X33, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X33)=>(c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X41),X33),X15)=>c_Orderings_Oord__class_Oless(X5,X41,c_Rings_Oinverse__class_Odivide(X5,X15,X33))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__imp__less__div__pos)).
% 247.18/174.24  fof(fact_add__scale__eq__noteq, axiom, ![X32, X26, X25, X17, X28, X5]:(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5)=>(X28!=c_Groups_Ozero__class_Ozero(X5)=>((X17=X25&X26!=X32)=>c_Groups_Oplus__class_Oplus(X5,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X28),X26))!=c_Groups_Oplus__class_Oplus(X5,X25,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X28),X32))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__scale__eq__noteq)).
% 247.18/174.24  fof(fact_nat__mult__less__cancel1, axiom, ![X13, X43, X47]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X47)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X43),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X13))<=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__mult__less__cancel1)).
% 247.18/174.24  fof(fact_nat__power__less__imp__less, axiom, ![X12, X18, X51]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X51)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X51),X18),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X51),X12))=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__power__less__imp__less)).
% 247.18/174.24  fof(fact_dvd__mult__cancel, axiom, ![X12, X18, X42]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X18),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X12))=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X42)=>c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X18,X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mult__cancel)).
% 247.18/174.24  fof(fact_nat__mult__dvd__cancel1, axiom, ![X13, X43, X47]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X47)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X43),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X13))<=>c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X43,X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__mult__dvd__cancel1)).
% 247.18/174.24  fof(fact_mult__smult__left, axiom, ![X24, X16, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),c_Polynomial_Osmult(X5,X17,X16)),X24)=c_Polynomial_Osmult(X5,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X16),X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__smult__left)).
% 247.18/174.24  fof(fact_coeff__diff, axiom, ![X12, X24, X16, X5]:(class_Groups_Oab__group__add(X5)=>hAPP(c_Polynomial_Ocoeff(X5,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),X16,X24)),X12)=c_Groups_Ominus__class_Ominus(X5,hAPP(c_Polynomial_Ocoeff(X5,X16),X12),hAPP(c_Polynomial_Ocoeff(X5,X24),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__diff)).
% 247.18/174.24  fof(fact_coeff__add, axiom, ![X12, X24, X16, X5]:(class_Groups_Ocomm__monoid__add(X5)=>hAPP(c_Polynomial_Ocoeff(X5,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X16,X24)),X12)=c_Groups_Oplus__class_Oplus(X5,hAPP(c_Polynomial_Ocoeff(X5,X16),X12),hAPP(c_Polynomial_Ocoeff(X5,X24),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__add)).
% 247.18/174.24  fof(fact_poly__diff, axiom, ![X15, X24, X16, X5]:(class_Rings_Ocomm__ring(X5)=>hAPP(c_Polynomial_Opoly(X5,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),X16,X24)),X15)=c_Groups_Ominus__class_Ominus(X5,hAPP(c_Polynomial_Opoly(X5,X16),X15),hAPP(c_Polynomial_Opoly(X5,X24),X15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__diff)).
% 247.18/174.24  fof(fact_poly__add, axiom, ![X15, X24, X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(c_Polynomial_Opoly(X5,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X16,X24)),X15)=c_Groups_Oplus__class_Oplus(X5,hAPP(c_Polynomial_Opoly(X5,X16),X15),hAPP(c_Polynomial_Opoly(X5,X24),X15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__add)).
% 247.18/174.24  fof(fact_zmod__simps_I3_J, axiom, ![X26, X25, X17]:c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X17),c_Divides_Odiv__class_Omod(tc_Int_Oint,X25,X26)),X26)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X17),X25),X26), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__simps_I3_J)).
% 247.18/174.24  fof(fact_zmod__zmult1__eq, axiom, ![X26, X25, X17]:c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X17),X25),X26)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X17),c_Divides_Odiv__class_Omod(tc_Int_Oint,X25,X26)),X26), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__zmult1__eq)).
% 247.18/174.24  fof(fact_zdiff__zmult__distrib, axiom, ![X57, X58, X59]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X59,X58)),X57)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X59),X57),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X58),X57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiff__zmult__distrib)).
% 247.18/174.24  fof(fact_zadd__zmult__distrib, axiom, ![X57, X58, X59]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X59,X58)),X57)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X59),X57),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X58),X57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zadd__zmult__distrib)).
% 247.18/174.24  fof(fact_mod__mult__distrib, axiom, ![X42, X12, X18]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12)),X42)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X42),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X12),X42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__distrib)).
% 247.18/174.24  fof(fact_diff__mult__distrib, axiom, ![X42, X12, X18]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12)),X42)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X42),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X12),X42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__mult__distrib)).
% 247.18/174.24  fof(fact_add__mult__distrib, axiom, ![X42, X12, X18]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X12)),X42)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X42),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X12),X42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__mult__distrib)).
% 247.18/174.24  fof(fact_mod__div__equality2, axiom, ![X17, X25, X5]:(class_Divides_Osemiring__div(X5)=>c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),c_Divides_Odiv__class_Odiv(X5,X17,X25)),c_Divides_Odiv__class_Omod(X5,X17,X25))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__div__equality2)).
% 247.18/174.24  fof(fact_add__le__imp__le__right, axiom, ![X25, X26, X17, X5]:(class_Groups_Oordered__ab__semigroup__add__imp__le(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oplus__class_Oplus(X5,X17,X26),c_Groups_Oplus__class_Oplus(X5,X25,X26))=>c_Orderings_Oord__class_Oless__eq(X5,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__le__imp__le__right)).
% 247.18/174.24  fof(fact_add__le__cancel__right, axiom, ![X19, X27, X14, X5]:(class_Groups_Oordered__ab__semigroup__add__imp__le(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oplus__class_Oplus(X5,X14,X27),c_Groups_Oplus__class_Oplus(X5,X19,X27))<=>c_Orderings_Oord__class_Oless__eq(X5,X14,X19))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__le__cancel__right)).
% 247.18/174.24  fof(fact_add__le__imp__le__left, axiom, ![X25, X17, X26, X5]:(class_Groups_Oordered__ab__semigroup__add__imp__le(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oplus__class_Oplus(X5,X26,X17),c_Groups_Oplus__class_Oplus(X5,X26,X25))=>c_Orderings_Oord__class_Oless__eq(X5,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__le__imp__le__left)).
% 247.18/174.24  fof(fact_add__le__cancel__left, axiom, ![X19, X14, X27, X5]:(class_Groups_Oordered__ab__semigroup__add__imp__le(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oplus__class_Oplus(X5,X27,X14),c_Groups_Oplus__class_Oplus(X5,X27,X19))<=>c_Orderings_Oord__class_Oless__eq(X5,X14,X19))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__le__cancel__left)).
% 247.18/174.24  fof(fact_add__less__cancel__right, axiom, ![X19, X27, X14, X5]:(class_Groups_Oordered__ab__semigroup__add__imp__le(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,X14,X27),c_Groups_Oplus__class_Oplus(X5,X19,X27))<=>c_Orderings_Oord__class_Oless(X5,X14,X19))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__less__cancel__right)).
% 247.18/174.24  fof(fact_add__less__imp__less__right, axiom, ![X25, X26, X17, X5]:(class_Groups_Oordered__ab__semigroup__add__imp__le(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,X17,X26),c_Groups_Oplus__class_Oplus(X5,X25,X26))=>c_Orderings_Oord__class_Oless(X5,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__less__imp__less__right)).
% 247.18/174.24  fof(fact_add__less__cancel__left, axiom, ![X19, X14, X27, X5]:(class_Groups_Oordered__ab__semigroup__add__imp__le(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,X27,X14),c_Groups_Oplus__class_Oplus(X5,X27,X19))<=>c_Orderings_Oord__class_Oless(X5,X14,X19))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__less__cancel__left)).
% 247.18/174.24  fof(fact_add__less__imp__less__left, axiom, ![X25, X17, X26, X5]:(class_Groups_Oordered__ab__semigroup__add__imp__le(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,X26,X17),c_Groups_Oplus__class_Oplus(X5,X26,X25))=>c_Orderings_Oord__class_Oless(X5,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__less__imp__less__left)).
% 247.18/174.24  fof(fact_dvd__mult__cancel__left, axiom, ![X19, X14, X27, X5]:(class_Rings_Oidom(X5)=>(c_Rings_Odvd__class_Odvd(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X14),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X19))<=>(X27=c_Groups_Ozero__class_Ozero(X5)|c_Rings_Odvd__class_Odvd(X5,X14,X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mult__cancel__left)).
% 247.18/174.24  fof(fact_dvd__mult__cancel__right, axiom, ![X19, X27, X14, X5]:(class_Rings_Oidom(X5)=>(c_Rings_Odvd__class_Odvd(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X19),X27))<=>(X27=c_Groups_Ozero__class_Ozero(X5)|c_Rings_Odvd__class_Odvd(X5,X14,X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mult__cancel__right)).
% 247.18/174.24  fof(fact_expand__poly__eq, axiom, ![X21, X10, X5]:(class_Groups_Ozero(X5)=>(X10=X21<=>![X22]:hAPP(c_Polynomial_Ocoeff(X5,X10),X22)=hAPP(c_Polynomial_Ocoeff(X5,X21),X22))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_expand__poly__eq)).
% 247.18/174.24  fof(fact_power__gt1__lemma, axiom, ![X12, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),X17)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__gt1__lemma)).
% 247.18/174.24  fof(fact_dvd__div__div__eq__mult, axiom, ![X40, X19, X27, X14, X5]:(class_Divides_Osemiring__div(X5)=>(X14!=c_Groups_Ozero__class_Ozero(X5)=>(X27!=c_Groups_Ozero__class_Ozero(X5)=>(c_Rings_Odvd__class_Odvd(X5,X14,X19)=>(c_Rings_Odvd__class_Odvd(X5,X27,X40)=>(c_Divides_Odiv__class_Odiv(X5,X19,X14)=c_Divides_Odiv__class_Odiv(X5,X40,X27)<=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X19),X27)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X40))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__div__div__eq__mult)).
% 247.18/174.24  fof(fact_zpower__zadd__distrib, axiom, ![X41, X33, X15]:hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X15),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X33,X41))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X15),X33)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X15),X41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zpower__zadd__distrib)).
% 247.18/174.24  fof(fact_offset__poly__eq__0__lemma, axiom, ![X17, X16, X26, X5]:(class_Rings_Ocomm__semiring__0(X5)=>(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X26,X16),c_Polynomial_OpCons(X5,X17,X16))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>X16=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_offset__poly__eq__0__lemma)).
% 247.18/174.24  fof(fact_nat__add__left__cancel__less, axiom, ![X13, X43, X47]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X47,X43),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X47,X13))<=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__add__left__cancel__less)).
% 247.18/174.24  fof(fact_power__one__over, axiom, ![X12, X17, X5]:(class_Fields_Ofield__inverse__zero(X5)=>c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oone__class_Oone(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))=hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oone__class_Oone(X5),X17)),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__one__over)).
% 247.18/174.24  fof(fact_divide__right__mono, axiom, ![X26, X25, X17, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless__eq(X5,c_Rings_Oinverse__class_Odivide(X5,X17,X26),c_Rings_Oinverse__class_Odivide(X5,X25,X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__right__mono)).
% 247.18/174.24  fof(fact_divide__strict__right__mono, axiom, ![X26, X25, X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,X17,X26),c_Rings_Oinverse__class_Odivide(X5,X25,X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__strict__right__mono)).
% 247.18/174.24  fof(fact_divide__right__mono__neg, axiom, ![X26, X25, X17, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>(c_Orderings_Oord__class_Oless__eq(X5,X26,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless__eq(X5,c_Rings_Oinverse__class_Odivide(X5,X25,X26),c_Rings_Oinverse__class_Odivide(X5,X17,X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__right__mono__neg)).
% 247.18/174.24  fof(fact_divide__strict__right__mono__neg, axiom, ![X26, X17, X25, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X25,X17)=>(c_Orderings_Oord__class_Oless(X5,X26,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,X17,X26),c_Rings_Oinverse__class_Odivide(X5,X25,X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__strict__right__mono__neg)).
% 247.18/174.24  fof(fact_zmod__zdiv__equality, axiom, ![X25, X17]:X17=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X25),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X25)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__zdiv__equality)).
% 247.18/174.24  fof(fact_smult__diff__right, axiom, ![X24, X16, X17, X5]:(class_Rings_Ocomm__ring(X5)=>c_Polynomial_Osmult(X5,X17,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),X16,X24))=c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X17,X16),c_Polynomial_Osmult(X5,X17,X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__diff__right)).
% 247.18/174.24  fof(fact_smult__add__right, axiom, ![X24, X16, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Osmult(X5,X17,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X16,X24))=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X17,X16),c_Polynomial_Osmult(X5,X17,X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__add__right)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J, axiom, ![X18, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X18),X18)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Oone__class_Oone(X5))),X18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J, axiom, ![X17, X18, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oplus__class_Oplus(X5,X18,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X18))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Oone__class_Oone(X5))),X18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J)).
% 247.18/174.24  fof(fact_mult__right__mono, axiom, ![X26, X25, X17, X5]:(class_Rings_Oordered__semiring(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__right__mono)).
% 247.18/174.24  fof(fact_comm__mult__left__mono, axiom, ![X26, X25, X17, X5]:(class_Rings_Oordered__comm__semiring(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__mult__left__mono)).
% 247.18/174.24  fof(fact_mult__left__mono, axiom, ![X26, X25, X17, X5]:(class_Rings_Oordered__semiring(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__left__mono)).
% 247.18/174.24  fof(fact_power__mono, axiom, ![X12, X25, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X25),X12))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__mono)).
% 247.18/174.24  fof(fact_mult__strict__right__mono, axiom, ![X26, X25, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__strict__right__mono)).
% 247.18/174.24  fof(fact_mult__strict__left__mono, axiom, ![X26, X25, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__strict__left__mono)).
% 247.18/174.24  fof(fact_comm__mult__strict__left__mono, axiom, ![X26, X25, X17, X5]:(class_Rings_Olinordered__comm__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__mult__strict__left__mono)).
% 247.18/174.24  fof(fact_mult__right__mono__neg, axiom, ![X26, X17, X25, X5]:(class_Rings_Oordered__ring(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X25,X17)=>(c_Orderings_Oord__class_Oless__eq(X5,X26,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__right__mono__neg)).
% 247.18/174.24  fof(fact_mult__left__mono__neg, axiom, ![X26, X17, X25, X5]:(class_Rings_Oordered__ring(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X25,X17)=>(c_Orderings_Oord__class_Oless__eq(X5,X26,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__left__mono__neg)).
% 247.18/174.24  fof(fact_mult__strict__right__mono__neg, axiom, ![X26, X17, X25, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,X25,X17)=>(c_Orderings_Oord__class_Oless(X5,X26,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__strict__right__mono__neg)).
% 247.18/174.24  fof(fact_mult__strict__left__mono__neg, axiom, ![X26, X17, X25, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,X25,X17)=>(c_Orderings_Oord__class_Oless(X5,X26,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__strict__left__mono__neg)).
% 247.18/174.24  fof(fact_add__mono, axiom, ![X32, X26, X25, X17, X5]:(class_Groups_Oordered__ab__semigroup__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>(c_Orderings_Oord__class_Oless__eq(X5,X26,X32)=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oplus__class_Oplus(X5,X17,X26),c_Groups_Oplus__class_Oplus(X5,X25,X32))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__mono)).
% 247.18/174.24  fof(fact_add__less__le__mono, axiom, ![X32, X26, X25, X17, X5]:(class_Groups_Oordered__cancel__ab__semigroup__add(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>(c_Orderings_Oord__class_Oless__eq(X5,X26,X32)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,X17,X26),c_Groups_Oplus__class_Oplus(X5,X25,X32))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__less__le__mono)).
% 247.18/174.24  fof(fact_add__le__less__mono, axiom, ![X32, X26, X25, X17, X5]:(class_Groups_Oordered__cancel__ab__semigroup__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>(c_Orderings_Oord__class_Oless(X5,X26,X32)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,X17,X26),c_Groups_Oplus__class_Oplus(X5,X25,X32))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__le__less__mono)).
% 247.18/174.24  fof(fact_add__strict__mono, axiom, ![X32, X26, X25, X17, X5]:(class_Groups_Oordered__cancel__ab__semigroup__add(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>(c_Orderings_Oord__class_Oless(X5,X26,X32)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,X17,X26),c_Groups_Oplus__class_Oplus(X5,X25,X32))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__strict__mono)).
% 247.18/174.24  fof(fact_power__increasing, axiom, ![X17, X72, X12, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X12,X72)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oone__class_Oone(X5),X17)=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X72))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__increasing)).
% 247.18/174.24  fof(fact_power__strict__increasing, axiom, ![X17, X72, X12, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,X72)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),X17)=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X72))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__strict__increasing)).
% 247.18/174.24  fof(fact_diff__monom, axiom, ![X25, X12, X17, X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),c_Polynomial_Omonom(X5,X17,X12),c_Polynomial_Omonom(X5,X25,X12))=c_Polynomial_Omonom(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__monom)).
% 247.18/174.24  fof(fact_add__monom, axiom, ![X25, X12, X17, X5]:(class_Groups_Ocomm__monoid__add(X5)=>c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_Omonom(X5,X17,X12),c_Polynomial_Omonom(X5,X25,X12))=c_Polynomial_Omonom(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__monom)).
% 247.18/174.24  fof(fact_smult__diff__left, axiom, ![X16, X25, X17, X5]:(class_Rings_Ocomm__ring(X5)=>c_Polynomial_Osmult(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25),X16)=c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X17,X16),c_Polynomial_Osmult(X5,X25,X16))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__diff__left)).
% 247.18/174.24  fof(fact_smult__add__left, axiom, ![X16, X25, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Osmult(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X16)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X17,X16),c_Polynomial_Osmult(X5,X25,X16))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__add__left)).
% 247.18/174.24  fof(fact_nullstellensatz__lemma, axiom, ![X12, X24, X16]:(![X3]:(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X16),X3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=>hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X24),X3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))=>(c_Polynomial_Odegree(tc_Complex_Ocomplex,X16)=X12=>(X12!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X16,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X24),X12))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nullstellensatz__lemma)).
% 247.18/174.24  fof(fact_mult__dvd__mono, axiom, ![X32, X26, X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>(c_Rings_Odvd__class_Odvd(X5,X17,X25)=>(c_Rings_Odvd__class_Odvd(X5,X26,X32)=>c_Rings_Odvd__class_Odvd(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X32))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__dvd__mono)).
% 247.18/174.24  fof(fact_realpow__num__eq__if, axiom, ![X18, X12, X5]:(class_Power_Opower(X5)=>((X12=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),X18),X12)=c_Groups_Oone__class_Oone(X5))&(X12!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),X18),X12)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X18),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X18),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X12,c_Groups_Oone__class_Oone(tc_Nat_Onat))))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_realpow__num__eq__if)).
% 247.18/174.24  fof(fact_divide_Odiff, axiom, ![X44, X33, X15, X5]:(class_RealVector_Oreal__normed__field(X5)=>c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ominus__class_Ominus(X5,X15,X33),X44)=c_Groups_Ominus__class_Ominus(X5,c_Rings_Oinverse__class_Odivide(X5,X15,X44),c_Rings_Oinverse__class_Odivide(X5,X33,X44))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide_Odiff)).
% 247.18/174.24  fof(fact_diff__divide__distrib, axiom, ![X26, X25, X17, X5]:(class_Rings_Odivision__ring(X5)=>c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25),X26)=c_Groups_Ominus__class_Ominus(X5,c_Rings_Oinverse__class_Odivide(X5,X17,X26),c_Rings_Oinverse__class_Odivide(X5,X25,X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__divide__distrib)).
% 247.18/174.24  fof(fact_divide_Oadd, axiom, ![X44, X33, X15, X5]:(class_RealVector_Oreal__normed__field(X5)=>c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oplus__class_Oplus(X5,X15,X33),X44)=c_Groups_Oplus__class_Oplus(X5,c_Rings_Oinverse__class_Odivide(X5,X15,X44),c_Rings_Oinverse__class_Odivide(X5,X33,X44))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide_Oadd)).
% 247.18/174.24  fof(fact_add__divide__distrib, axiom, ![X26, X25, X17, X5]:(class_Rings_Odivision__ring(X5)=>c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X26)=c_Groups_Oplus__class_Oplus(X5,c_Rings_Oinverse__class_Odivide(X5,X17,X26),c_Rings_Oinverse__class_Odivide(X5,X25,X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__divide__distrib)).
% 247.18/174.24  fof(fact_degree__mod__less, axiom, ![X15, X33, X5]:(class_Fields_Ofield(X5)=>(X33!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>(c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33)),c_Polynomial_Odegree(X5,X33))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__mod__less)).
% 247.18/174.24  fof(fact_smult__pCons, axiom, ![X16, X25, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Osmult(X5,X17,c_Polynomial_OpCons(X5,X25,X16))=c_Polynomial_OpCons(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),c_Polynomial_Osmult(X5,X17,X16))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__pCons)).
% 247.18/174.24  fof(fact_zadd__zless__mono, axiom, ![X41, X87, X57, X88]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,X88,X57)=>(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X87,X41)=>c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X88,X87),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X57,X41)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zadd__zless__mono)).
% 247.18/174.24  fof(fact_diff__less__mono2, axiom, ![X69, X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X69)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X69,X12),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X69,X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__less__mono2)).
% 247.18/174.24  fof(fact_add__less__mono, axiom, ![X69, X42, X49, X51]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X51,X49)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X69)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X51,X42),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X49,X69)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__less__mono)).
% 247.18/174.24  fof(fact_mod__mult__self2, axiom, ![X26, X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26)),X25)=c_Divides_Odiv__class_Omod(X5,X17,X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__self2)).
% 247.18/174.24  fof(fact_mod__mult__self1, axiom, ![X25, X26, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25)),X25)=c_Divides_Odiv__class_Omod(X5,X17,X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__self1)).
% 247.18/174.24  fof(fact_sum__squares__eq__zero__iff, axiom, ![X20, X7, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X7),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X20),X20))=c_Groups_Ozero__class_Ozero(X5)<=>(X7=c_Groups_Ozero__class_Ozero(X5)&X20=c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sum__squares__eq__zero__iff)).
% 247.18/174.24  fof(fact_mod__mult__mult1, axiom, ![X25, X17, X26, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),c_Divides_Odiv__class_Omod(X5,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__mult1)).
% 247.18/174.24  fof(fact_mult__right_Odiff, axiom, ![X33, X15, X46, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X46),c_Groups_Ominus__class_Ominus(X5,X15,X33))=c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X46),X15),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X46),X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__right_Odiff)).
% 247.18/174.24  fof(fact_mult_Odiff__right, axiom, ![X48, X25, X17, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Ominus__class_Ominus(X5,X25,X48))=c_Groups_Ominus__class_Ominus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X48))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult_Odiff__right)).
% 247.18/174.24  fof(fact_mult_Oadd__right, axiom, ![X48, X25, X17, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Oplus__class_Oplus(X5,X25,X48))=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X48))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult_Oadd__right)).
% 247.18/174.24  fof(fact_mult__right_Oadd, axiom, ![X33, X15, X46, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X46),c_Groups_Oplus__class_Oplus(X5,X15,X33))=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X46),X15),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X46),X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__right_Oadd)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J, axiom, ![X41, X33, X15, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),c_Groups_Oplus__class_Oplus(X5,X33,X41))=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X33),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X41))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J)).
% 247.18/174.24  fof(fact_zdvd__mult__cancel, axiom, ![X12, X18, X42]:(c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X42),X18),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X42),X12))=>(X42!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>c_Rings_Odvd__class_Odvd(tc_Int_Oint,X18,X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdvd__mult__cancel)).
% 247.18/174.24  fof(fact_zdvd__mono, axiom, ![X56, X43, X47]:(X47!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X43,X56)<=>c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X47),X43),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X47),X56)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdvd__mono)).
% 247.18/174.24  fof(fact_nat__mult__dvd__cancel__disj, axiom, ![X13, X43, X47]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X43),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X13))<=>(X47=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X43,X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__mult__dvd__cancel__disj)).
% 247.18/174.24  fof(fact_pow__divides__eq__int, axiom, ![X19, X14, X13]:(X13!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>(c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X14),X13),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X19),X13))<=>c_Rings_Odvd__class_Odvd(tc_Int_Oint,X14,X19))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pow__divides__eq__int)).
% 247.18/174.24  fof(fact_pow__divides__pow__int, axiom, ![X25, X12, X17]:(c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X17),X12),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X25),X12))=>(X12!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>c_Rings_Odvd__class_Odvd(tc_Int_Oint,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pow__divides__pow__int)).
% 247.18/174.24  fof(fact_pow__divides__pow__nat, axiom, ![X25, X12, X17]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X17),X12),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X25),X12))=>(X12!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pow__divides__pow__nat)).
% 247.18/174.24  fof(fact_pow__divides__eq__nat, axiom, ![X19, X14, X13]:(X13!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X14),X13),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X19),X13))<=>c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X14,X19))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pow__divides__eq__nat)).
% 247.18/174.24  fof(fact_mult__less__cancel1, axiom, ![X13, X43, X47]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X43),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X13))<=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X47)&c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__less__cancel1)).
% 247.18/174.24  fof(fact_mult__less__cancel2, axiom, ![X13, X47, X43]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X43),X47),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X13),X47))<=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X47)&c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__less__cancel2)).
% 247.18/174.24  fof(fact_zdiv__zminus1__eq__if, axiom, ![X17, X25]:(X25!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>((c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X17),X25)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X25)))&(c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X17),X25)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X25)),c_Groups_Oone__class_Oone(tc_Int_Oint))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiv__zminus1__eq__if)).
% 247.18/174.24  fof(fact_zdiv__zminus2__eq__if, axiom, ![X17, X25]:(X25!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>((c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X25))=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X25)))&(c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X25))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X25)),c_Groups_Oone__class_Oone(tc_Int_Oint))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiv__zminus2__eq__if)).
% 247.18/174.24  fof(fact_zero__less__mult__pos2, axiom, ![X17, X25, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X17))=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__less__mult__pos2)).
% 247.18/174.24  fof(fact_zero__less__mult__pos, axiom, ![X25, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__less__mult__pos)).
% 247.18/174.24  fof(fact_poly__gcd_Osimps_I1_J, axiom, ![X15, X5]:(class_Fields_Ofield(X5)=>c_Polynomial_Opoly__gcd(X5,X15,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))=c_Polynomial_Osmult(X5,c_Rings_Oinverse__class_Oinverse(X5,hAPP(c_Polynomial_Ocoeff(X5,X15),c_Polynomial_Odegree(X5,X15))),X15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd_Osimps_I1_J)).
% 247.18/174.24  fof(fact_poly__gcd__code, axiom, ![X15, X33, X5]:(class_Fields_Ofield(X5)=>((X33=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>c_Polynomial_Opoly__gcd(X5,X15,X33)=c_Polynomial_Osmult(X5,c_Rings_Oinverse__class_Oinverse(X5,hAPP(c_Polynomial_Ocoeff(X5,X15),c_Polynomial_Odegree(X5,X15))),X15))&(X33!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>c_Polynomial_Opoly__gcd(X5,X15,X33)=c_Polynomial_Opoly__gcd(X5,X33,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd__code)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J, axiom, ![X35, X36, X37, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),X36)),X35)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X36),X35))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J)).
% 247.18/174.24  fof(fact_ab__semigroup__mult__class_Omult__ac_I1_J, axiom, ![X26, X25, X17, X5]:(class_Groups_Oab__semigroup__mult(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25)),X26)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_ab__semigroup__mult__class_Omult__ac_I1_J)).
% 247.18/174.24  fof(fact_power__commutes, axiom, ![X12, X17, X5]:(class_Groups_Omonoid__mult(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12)),X17)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__commutes)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J, axiom, ![X34, X35, X37, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X35),X34))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),X35)),X34)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J)).
% 247.18/174.24  fof(fact_poly__monom, axiom, ![X15, X12, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(c_Polynomial_Opoly(X5,c_Polynomial_Omonom(X5,X17,X12)),X15)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__monom)).
% 247.18/174.24  fof(fact_synthetic__div__unique, axiom, ![X28, X24, X26, X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X16,c_Polynomial_Osmult(X5,X26,X24))=c_Polynomial_OpCons(X5,X28,X24)=>(X28=hAPP(c_Polynomial_Opoly(X5,X16),X26)&X24=c_Polynomial_Osynthetic__div(X5,X16,X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_synthetic__div__unique)).
% 247.18/174.24  fof(fact_div__mult__swap, axiom, ![X17, X25, X26, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X26,X25)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Divides_Odiv__class_Odiv(X5,X25,X26))=c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult__swap)).
% 247.18/174.24  fof(fact_poly__dvd__antisym, axiom, ![X24, X16, X5]:(class_Rings_Oidom(X5)=>(hAPP(c_Polynomial_Ocoeff(X5,X16),c_Polynomial_Odegree(X5,X16))=hAPP(c_Polynomial_Ocoeff(X5,X24),c_Polynomial_Odegree(X5,X24))=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X16,X24)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X24,X16)=>X16=X24)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__dvd__antisym)).
% 247.18/174.24  fof(fact_synthetic__div__pCons, axiom, ![X26, X16, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Osynthetic__div(X5,c_Polynomial_OpCons(X5,X17,X16),X26)=c_Polynomial_OpCons(X5,hAPP(c_Polynomial_Opoly(X5,X16),X26),c_Polynomial_Osynthetic__div(X5,X16,X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_synthetic__div__pCons)).
% 247.18/174.24  fof(fact_poly__offset__poly, axiom, ![X15, X8, X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(c_Polynomial_Opoly(X5,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,X16,X8)),X15)=hAPP(c_Polynomial_Opoly(X5,X16),c_Groups_Oplus__class_Oplus(X5,X8,X15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__offset__poly)).
% 247.18/174.24  fof(fact_power__mult, axiom, ![X12, X18, X17, X5]:(class_Groups_Omonoid__mult(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X12))=hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X18)),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__mult)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J, axiom, ![X24, X16, X15, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X16)),X24)=hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X16),X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J)).
% 247.18/174.24  fof(fact_zmult__zless__mono2, axiom, ![X42, X49, X51]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,X51,X49)=>(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X42)=>c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X42),X51),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X42),X49)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmult__zless__mono2)).
% 247.18/174.24  fof(fact_mult__less__mono1, axiom, ![X42, X49, X51]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X51,X49)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X42)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X51),X42),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X49),X42)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__less__mono1)).
% 247.18/174.24  fof(fact_mult__less__mono2, axiom, ![X42, X49, X51]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X51,X49)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X42)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X51),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X49)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__less__mono2)).
% 247.18/174.24  fof(fact_power__eq__if, axiom, ![X16, X18]:((X18=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X16),X18)=c_Groups_Oone__class_Oone(tc_Nat_Onat))&(X18!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X16),X18)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X16),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X16),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__eq__if)).
% 247.18/174.24  fof(fact_less__diff__conv, axiom, ![X47, X75, X76]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X76,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X75,X47))<=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X76,X47),X75)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__diff__conv)).
% 247.18/174.24  fof(fact_dvd__mod__iff, axiom, ![X43, X13, X47, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X47,X13)=>(c_Rings_Odvd__class_Odvd(X5,X47,c_Divides_Odiv__class_Omod(X5,X43,X13))<=>c_Rings_Odvd__class_Odvd(X5,X47,X43)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mod__iff)).
% 247.18/174.24  fof(fact_dvd__mod__imp__dvd, axiom, ![X12, X18, X42, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X42,c_Divides_Odiv__class_Omod(X5,X18,X12))=>(c_Rings_Odvd__class_Odvd(X5,X42,X12)=>c_Rings_Odvd__class_Odvd(X5,X42,X18)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mod__imp__dvd)).
% 247.18/174.24  fof(fact_poly__div__mult__right, axiom, ![X41, X33, X15, X5]:(class_Fields_Ofield(X5)=>c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5),X15,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X33),X41))=c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5),X15,X33),X41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__div__mult__right)).
% 247.18/174.24  fof(fact_neg__imp__zdiv__neg__iff, axiom, ![X14, X19]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,X19,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=>(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X14,X19),c_Groups_Ozero__class_Ozero(tc_Int_Oint))<=>c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__imp__zdiv__neg__iff)).
% 247.18/174.24  fof(fact_pos__imp__zdiv__neg__iff, axiom, ![X14, X19]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X19)=>(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X14,X19),c_Groups_Ozero__class_Ozero(tc_Int_Oint))<=>c_Orderings_Oord__class_Oless(tc_Int_Oint,X14,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pos__imp__zdiv__neg__iff)).
% 247.18/174.24  fof(fact_mult__smult__right, axiom, ![X24, X17, X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X16),c_Polynomial_Osmult(X5,X17,X24))=c_Polynomial_Osmult(X5,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X16),X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__smult__right)).
% 247.18/174.24  fof(fact_divide__le__0__iff, axiom, ![X19, X14, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Rings_Oinverse__class_Odivide(X5,X14,X19),c_Groups_Ozero__class_Ozero(X5))<=>((c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X14)&c_Orderings_Oord__class_Oless__eq(X5,X19,c_Groups_Ozero__class_Ozero(X5)))|(c_Orderings_Oord__class_Oless__eq(X5,X14,c_Groups_Ozero__class_Ozero(X5))&c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X19))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__le__0__iff)).
% 247.18/174.24  fof(fact_divide__less__0__iff, axiom, ![X19, X14, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,X14,X19),c_Groups_Ozero__class_Ozero(X5))<=>((c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X14)&c_Orderings_Oord__class_Oless(X5,X19,c_Groups_Ozero__class_Ozero(X5)))|(c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ozero__class_Ozero(X5))&c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X19))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__less__0__iff)).
% 247.18/174.24  fof(fact_zero__le__divide__iff, axiom, ![X19, X14, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),c_Rings_Oinverse__class_Odivide(X5,X14,X19))<=>((c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X14)&c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X19))|(c_Orderings_Oord__class_Oless__eq(X5,X14,c_Groups_Ozero__class_Ozero(X5))&c_Orderings_Oord__class_Oless__eq(X5,X19,c_Groups_Ozero__class_Ozero(X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__le__divide__iff)).
% 247.18/174.24  fof(fact_zero__less__divide__iff, axiom, ![X19, X14, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Rings_Oinverse__class_Odivide(X5,X14,X19))<=>((c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X14)&c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X19))|(c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ozero__class_Ozero(X5))&c_Orderings_Oord__class_Oless(X5,X19,c_Groups_Ozero__class_Ozero(X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__less__divide__iff)).
% 247.18/174.24  fof(fact_coeff__smult, axiom, ![X12, X16, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_Osmult(X5,X17,X16)),X12)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),hAPP(c_Polynomial_Ocoeff(X5,X16),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__smult)).
% 247.18/174.24  fof(fact_poly__smult, axiom, ![X15, X16, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(c_Polynomial_Opoly(X5,c_Polynomial_Osmult(X5,X17,X16)),X15)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),hAPP(c_Polynomial_Opoly(X5,X16),X15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__smult)).
% 247.18/174.24  fof(fact_mod__mult__self3, axiom, ![X18, X12, X42]:c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X12),X18),X12)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__self3)).
% 247.18/174.24  fof(fact_zdiv__zmult2__eq, axiom, ![X25, X17, X26]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X26)=>c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X25),X26))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X25),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiv__zmult2__eq)).
% 247.18/174.24  fof(fact_mult__le__0__iff, axiom, ![X19, X14, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X19),c_Groups_Ozero__class_Ozero(X5))<=>((c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X14)&c_Orderings_Oord__class_Oless__eq(X5,X19,c_Groups_Ozero__class_Ozero(X5)))|(c_Orderings_Oord__class_Oless__eq(X5,X14,c_Groups_Ozero__class_Ozero(X5))&c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X19))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__le__0__iff)).
% 247.18/174.24  fof(fact_zero__le__mult__iff, axiom, ![X19, X14, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X19))<=>((c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X14)&c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X19))|(c_Orderings_Oord__class_Oless__eq(X5,X14,c_Groups_Ozero__class_Ozero(X5))&c_Orderings_Oord__class_Oless__eq(X5,X19,c_Groups_Ozero__class_Ozero(X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__le__mult__iff)).
% 247.18/174.24  fof(fact_zdvd__zmod__imp__zdvd, axiom, ![X12, X18, X42]:(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X42,c_Divides_Odiv__class_Omod(tc_Int_Oint,X18,X12))=>(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X42,X12)=>c_Rings_Odvd__class_Odvd(tc_Int_Oint,X42,X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdvd__zmod__imp__zdvd)).
% 247.18/174.24  fof(fact_zdvd__zdiffD, axiom, ![X12, X18, X42]:(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X42,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X18,X12))=>(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X42,X12)=>c_Rings_Odvd__class_Odvd(tc_Int_Oint,X42,X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdvd__zdiffD)).
% 247.18/174.24  fof(fact_zdiff__zmult__distrib2, axiom, ![X58, X59, X57]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X57),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X59,X58))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X57),X59),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X57),X58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiff__zmult__distrib2)).
% 247.18/174.24  fof(fact_zadd__zmult__distrib2, axiom, ![X58, X59, X57]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X57),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X59,X58))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X57),X59),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X57),X58)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zadd__zmult__distrib2)).
% 247.18/174.24  fof(fact_mod__mult__distrib2, axiom, ![X12, X18, X42]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X18),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__distrib2)).
% 247.18/174.24  fof(fact_diff__mult__distrib2, axiom, ![X12, X18, X42]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X18),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__mult__distrib2)).
% 247.18/174.24  fof(fact_add__mult__distrib2, axiom, ![X12, X18, X42]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X12))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X18),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__mult__distrib2)).
% 247.18/174.24  fof(fact_mod__minus__eq, axiom, ![X25, X17, X5]:(class_Divides_Oring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),X25)=c_Divides_Odiv__class_Omod(X5,c_Groups_Ouminus__class_Ouminus(X5,c_Divides_Odiv__class_Omod(X5,X17,X25)),X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__minus__eq)).
% 247.18/174.24  fof(fact_poly__pcompose, axiom, ![X15, X24, X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(c_Polynomial_Opoly(X5,c_Polynomial_Opcompose(X5,X16,X24)),X15)=hAPP(c_Polynomial_Opoly(X5,X16),hAPP(c_Polynomial_Opoly(X5,X24),X15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__pcompose)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J, axiom, ![X18, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oplus__class_Oplus(X5,X18,X18)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oplus__class_Oplus(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Oone__class_Oone(X5))),X18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J)).
% 247.18/174.24  fof(fact_nat__mult__div__cancel1, axiom, ![X12, X18, X42]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X42)=>c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X18),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X12))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X18,X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__mult__div__cancel1)).
% 247.18/174.24  fof(fact_poly__gcd__greatest, axiom, ![X33, X15, X42, X5]:(class_Fields_Ofield(X5)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X42,X15)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X42,X33)=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X42,c_Polynomial_Opoly__gcd(X5,X15,X33))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd__greatest)).
% 247.18/174.24  fof(fact_dvd__poly__gcd__iff, axiom, ![X20, X7, X47, X5]:(class_Fields_Ofield(X5)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X47,c_Polynomial_Opoly__gcd(X5,X7,X20))<=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X47,X7)&c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X47,X20)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__poly__gcd__iff)).
% 247.18/174.24  fof(fact_divide__neg__pos, axiom, ![X33, X15, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X15,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X33)=>c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,X15,X33),c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__neg__pos)).
% 247.18/174.24  fof(fact_divide__pos__neg, axiom, ![X33, X15, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X15)=>(c_Orderings_Oord__class_Oless(X5,X33,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,X15,X33),c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__pos__neg)).
% 247.18/174.24  fof(fact_add__nonpos__nonpos, axiom, ![X25, X17, X5]:(class_Groups_Oordered__comm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless__eq(X5,X25,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__nonpos__nonpos)).
% 247.18/174.24  fof(fact_add__neg__neg, axiom, ![X25, X17, X5]:(class_Groups_Oordered__comm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless(X5,X25,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__neg__neg)).
% 247.18/174.24  fof(fact_add__nonneg__nonneg, axiom, ![X25, X17, X5]:(class_Groups_Oordered__comm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X25)=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Oplus__class_Oplus(X5,X17,X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__nonneg__nonneg)).
% 247.18/174.24  fof(fact_divide__pos__pos, axiom, ![X33, X15, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X15)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X33)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Rings_Oinverse__class_Odivide(X5,X15,X33))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__pos__pos)).
% 247.18/174.24  fof(fact_add__pos__nonneg, axiom, ![X25, X17, X5]:(class_Groups_Oordered__comm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X25)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Oplus__class_Oplus(X5,X17,X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__pos__nonneg)).
% 247.18/174.24  fof(fact_add__nonneg__pos, axiom, ![X25, X17, X5]:(class_Groups_Oordered__comm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X25)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Oplus__class_Oplus(X5,X17,X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__nonneg__pos)).
% 247.18/174.24  fof(fact_add__pos__pos, axiom, ![X25, X17, X5]:(class_Groups_Oordered__comm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X25)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Oplus__class_Oplus(X5,X17,X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__pos__pos)).
% 247.18/174.24  fof(fact_divide__neg__neg, axiom, ![X33, X15, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X15,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless(X5,X33,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Rings_Oinverse__class_Odivide(X5,X15,X33))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__neg__neg)).
% 247.18/174.24  fof(fact_add__gr__0, axiom, ![X13, X43]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X13))<=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X43)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__gr__0)).
% 247.18/174.24  fof(fact_zmult__assoc, axiom, ![X60, X58, X59]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X59),X58)),X60)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X59),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X58),X60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmult__assoc)).
% 247.18/174.24  fof(fact_nat__mult__assoc, axiom, ![X42, X12, X18]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X12)),X42)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X12),X42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__mult__assoc)).
% 247.18/174.24  fof(fact_zpower__zpower, axiom, ![X41, X33, X15]:hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X15),X33)),X41)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X15),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X33),X41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zpower__zpower)).
% 247.18/174.24  fof(fact_mult__nonpos__nonneg, axiom, ![X25, X17, X5]:(class_Rings_Oordered__cancel__semiring(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X25)=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__nonpos__nonneg)).
% 247.18/174.24  fof(fact_split__mult__neg__le, axiom, ![X25, X17, X5]:(class_Rings_Oordered__cancel__semiring(X5)=>(((c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)&c_Orderings_Oord__class_Oless__eq(X5,X25,c_Groups_Ozero__class_Ozero(X5)))|(c_Orderings_Oord__class_Oless__eq(X5,X17,c_Groups_Ozero__class_Ozero(X5))&c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X25)))=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_split__mult__neg__le)).
% 247.18/174.24  fof(fact_mult__nonneg__nonpos, axiom, ![X25, X17, X5]:(class_Rings_Oordered__cancel__semiring(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless__eq(X5,X25,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__nonneg__nonpos)).
% 247.18/174.24  fof(fact_mult__nonneg__nonpos2, axiom, ![X25, X17, X5]:(class_Rings_Oordered__cancel__semiring(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless__eq(X5,X25,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless__eq(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X17),c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__nonneg__nonpos2)).
% 247.18/174.24  fof(fact_mult__neg__pos, axiom, ![X25, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X25)=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__neg__pos)).
% 247.18/174.24  fof(fact_mult__pos__neg, axiom, ![X25, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless(X5,X25,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__pos__neg)).
% 247.18/174.24  fof(fact_mult__pos__neg2, axiom, ![X25, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless(X5,X25,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X17),c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__pos__neg2)).
% 247.18/174.24  fof(fact_mult__nonneg__nonneg, axiom, ![X25, X17, X5]:(class_Rings_Oordered__cancel__semiring(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X25)=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__nonneg__nonneg)).
% 247.18/174.24  fof(fact_split__mult__pos__le, axiom, ![X25, X17, X5]:(class_Rings_Oordered__ring(X5)=>(((c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)&c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X25))|(c_Orderings_Oord__class_Oless__eq(X5,X17,c_Groups_Ozero__class_Ozero(X5))&c_Orderings_Oord__class_Oless__eq(X5,X25,c_Groups_Ozero__class_Ozero(X5))))=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_split__mult__pos__le)).
% 247.18/174.24  fof(fact_less__1__mult, axiom, ![X12, X18, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),X18)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),X12)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X18),X12))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__1__mult)).
% 247.18/174.24  fof(fact_mult__pos__pos, axiom, ![X25, X17, X5]:(class_Rings_Olinordered__semiring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X25)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__pos__pos)).
% 247.18/174.24  fof(fact_mult__nonpos__nonpos, axiom, ![X25, X17, X5]:(class_Rings_Oordered__ring(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless__eq(X5,X25,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__nonpos__nonpos)).
% 247.18/174.24  fof(fact_mult__neg__neg, axiom, ![X25, X17, X5]:(class_Rings_Olinordered__ring__strict(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,c_Groups_Ozero__class_Ozero(X5))=>(c_Orderings_Oord__class_Oless(X5,X25,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__neg__neg)).
% 247.18/174.24  fof(fact_add__right__mono, axiom, ![X26, X25, X17, X5]:(class_Groups_Oordered__ab__semigroup__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oplus__class_Oplus(X5,X17,X26),c_Groups_Oplus__class_Oplus(X5,X25,X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__right__mono)).
% 247.18/174.24  fof(fact_add__left__mono, axiom, ![X26, X25, X17, X5]:(class_Groups_Oordered__ab__semigroup__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oplus__class_Oplus(X5,X26,X17),c_Groups_Oplus__class_Oplus(X5,X26,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__left__mono)).
% 247.18/174.24  fof(fact_add__strict__right__mono, axiom, ![X26, X25, X17, X5]:(class_Groups_Oordered__cancel__ab__semigroup__add(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,X17,X26),c_Groups_Oplus__class_Oplus(X5,X25,X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__strict__right__mono)).
% 247.18/174.24  fof(fact_add__strict__left__mono, axiom, ![X26, X25, X17, X5]:(class_Groups_Oordered__cancel__ab__semigroup__add(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,X26,X17),c_Groups_Oplus__class_Oplus(X5,X26,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__strict__left__mono)).
% 247.18/174.24  fof(fact_dvd__div__mult__self, axiom, ![X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X17,X25)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Divides_Odiv__class_Odiv(X5,X25,X17)),X17)=X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__div__mult__self)).
% 247.18/174.24  fof(fact_zminus__zmod, axiom, ![X18, X15]:c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X15,X18)),X18)=c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X15),X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zminus__zmod)).
% 247.18/174.24  fof(fact_one__less__power, axiom, ![X12, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),X17)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_one__less__power)).
% 247.18/174.24  fof(fact_zmod__eq__dvd__iff, axiom, ![X20, X13, X7]:(c_Divides_Odiv__class_Omod(tc_Int_Oint,X7,X13)=c_Divides_Odiv__class_Omod(tc_Int_Oint,X20,X13)<=>c_Rings_Odvd__class_Odvd(tc_Int_Oint,X13,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X7,X20))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__eq__dvd__iff)).
% 247.18/174.24  fof(fact_dvd__power__same, axiom, ![X12, X33, X15, X5]:(class_Rings_Ocomm__semiring__1(X5)=>(c_Rings_Odvd__class_Odvd(X5,X15,X33)=>c_Rings_Odvd__class_Odvd(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X12),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X33),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__power__same)).
% 247.18/174.24  fof(fact_add__increasing, axiom, ![X26, X25, X17, X5]:(class_Groups_Oordered__comm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless__eq(X5,X25,X26)=>c_Orderings_Oord__class_Oless__eq(X5,X25,c_Groups_Oplus__class_Oplus(X5,X17,X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__increasing)).
% 247.18/174.24  fof(fact_add__increasing2, axiom, ![X17, X25, X26, X5]:(class_Groups_Oordered__comm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X26)=>(c_Orderings_Oord__class_Oless__eq(X5,X25,X17)=>c_Orderings_Oord__class_Oless__eq(X5,X25,c_Groups_Oplus__class_Oplus(X5,X17,X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__increasing2)).
% 247.18/174.24  fof(fact_add__strict__increasing, axiom, ![X26, X25, X17, X5]:(class_Groups_Oordered__comm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless__eq(X5,X25,X26)=>c_Orderings_Oord__class_Oless(X5,X25,c_Groups_Oplus__class_Oplus(X5,X17,X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__strict__increasing)).
% 247.18/174.24  fof(fact_pos__add__strict, axiom, ![X26, X25, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless(X5,X25,X26)=>c_Orderings_Oord__class_Oless(X5,X25,c_Groups_Oplus__class_Oplus(X5,X17,X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pos__add__strict)).
% 247.18/174.24  fof(fact_div__smult__left, axiom, ![X33, X15, X17, X5]:(class_Fields_Ofield(X5)=>c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X17,X15),X33)=c_Polynomial_Osmult(X5,X17,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5),X15,X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__smult__left)).
% 247.18/174.24  fof(fact_mod__smult__left, axiom, ![X33, X15, X17, X5]:(class_Fields_Ofield(X5)=>c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X17,X15),X33)=c_Polynomial_Osmult(X5,X17,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__smult__left)).
% 247.18/174.24  fof(fact_zdvd__antisym__nonneg, axiom, ![X12, X18]:(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X18)=>(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X12)=>(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X18,X12)=>(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X12,X18)=>X18=X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdvd__antisym__nonneg)).
% 247.18/174.24  fof(fact_zadd__left__mono, axiom, ![X42, X49, X51]:(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X51,X49)=>c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X42,X51),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X42,X49))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zadd__left__mono)).
% 247.18/174.24  fof(fact_zadd__strict__right__mono, axiom, ![X42, X49, X51]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,X51,X49)=>c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X51,X42),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X49,X42))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zadd__strict__right__mono)).
% 247.18/174.24  fof(fact_add__less__mono1, axiom, ![X42, X49, X51]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X51,X49)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X51,X42),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X49,X42))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__less__mono1)).
% 247.18/174.24  fof(fact_dvd__mod, axiom, ![X12, X18, X42, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X42,X18)=>(c_Rings_Odvd__class_Odvd(X5,X42,X12)=>c_Rings_Odvd__class_Odvd(X5,X42,c_Divides_Odiv__class_Omod(X5,X18,X12))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mod)).
% 247.18/174.24  fof(fact_dvd__diff, axiom, ![X41, X33, X15, X5]:(class_Rings_Ocomm__ring__1(X5)=>(c_Rings_Odvd__class_Odvd(X5,X15,X33)=>(c_Rings_Odvd__class_Odvd(X5,X15,X41)=>c_Rings_Odvd__class_Odvd(X5,X15,c_Groups_Ominus__class_Ominus(X5,X33,X41))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__diff)).
% 247.18/174.24  fof(fact_dvd__add, axiom, ![X26, X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>(c_Rings_Odvd__class_Odvd(X5,X17,X25)=>(c_Rings_Odvd__class_Odvd(X5,X17,X26)=>c_Rings_Odvd__class_Odvd(X5,X17,c_Groups_Oplus__class_Oplus(X5,X25,X26))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__add)).
% 247.18/174.24  fof(fact_div__add__self1, axiom, ![X17, X25, X5]:(class_Divides_Osemiring__div(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Divides_Odiv__class_Odiv(X5,c_Groups_Oplus__class_Oplus(X5,X25,X17),X25)=c_Groups_Oplus__class_Oplus(X5,c_Divides_Odiv__class_Odiv(X5,X17,X25),c_Groups_Oone__class_Oone(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__add__self1)).
% 247.18/174.24  fof(fact_div__add__self2, axiom, ![X17, X25, X5]:(class_Divides_Osemiring__div(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Divides_Odiv__class_Odiv(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X25)=c_Groups_Oplus__class_Oplus(X5,c_Divides_Odiv__class_Odiv(X5,X17,X25),c_Groups_Oone__class_Oone(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__add__self2)).
% 247.18/174.24  fof(fact_mod__minus__cong, axiom, ![X45, X25, X17, X5]:(class_Divides_Oring__div(X5)=>(c_Divides_Odiv__class_Omod(X5,X17,X25)=c_Divides_Odiv__class_Omod(X5,X45,X25)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),X25)=c_Divides_Odiv__class_Omod(X5,c_Groups_Ouminus__class_Ouminus(X5,X45),X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__minus__cong)).
% 247.18/174.24  fof(fact_div__neg__pos__less0, axiom, ![X25, X17]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,X17,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=>(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X25)=>c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X25),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__neg__pos__less0)).
% 247.18/174.24  fof(fact_Divides_Otransfer__nat__int__function__closures_I1_J, axiom, ![X33, X15]:(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X15)=>(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X33)=>c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X15,X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Divides_Otransfer__nat__int__function__closures_I1_J)).
% 247.18/174.24  fof(fact_Divides_Otransfer__nat__int__function__closures_I2_J, axiom, ![X33, X15]:(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X15)=>(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X33)=>c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X15,X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Divides_Otransfer__nat__int__function__closures_I2_J)).
% 247.18/174.24  fof(fact_smult__dvd__iff, axiom, ![X21, X10, X14, X5]:(class_Fields_Ofield(X5)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X14,X10),X21)<=>((X14=c_Groups_Ozero__class_Ozero(X5)=>X21=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))&(X14!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X10,X21))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__dvd__iff)).
% 247.18/174.24  fof(fact_dvd__smult__iff, axiom, ![X21, X10, X14, X5]:(class_Fields_Ofield(X5)=>(X14!=c_Groups_Ozero__class_Ozero(X5)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X10,c_Polynomial_Osmult(X5,X14,X21))<=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X10,X21)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__smult__iff)).
% 247.18/174.24  fof(fact_dvd__smult__cancel, axiom, ![X24, X17, X16, X5]:(class_Fields_Ofield(X5)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X16,c_Polynomial_Osmult(X5,X17,X24))=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X16,X24)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__smult__cancel)).
% 247.18/174.24  fof(fact_int__div__less__self, axiom, ![X42, X15]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X15)=>(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X42)=>c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X15,X42),X15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_int__div__less__self)).
% 247.18/174.24  fof(fact_div__less__dividend, axiom, ![X18, X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X12)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X18)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X18,X12),X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__less__dividend)).
% 247.18/174.24  fof(fact_diff__less, axiom, ![X18, X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X18)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12),X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__less)).
% 247.18/174.24  fof(fact_smult__dvd__cancel, axiom, ![X24, X16, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X17,X16),X24)=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X16,X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__dvd__cancel)).
% 247.18/174.24  fof(fact_zero__le__double__add__iff__zero__le__single__add, axiom, ![X14, X5]:(class_Groups_Olinordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Oplus__class_Oplus(X5,X14,X14))<=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__le__double__add__iff__zero__le__single__add)).
% 247.18/174.24  fof(fact_zero__less__double__add__iff__zero__less__single__add, axiom, ![X14, X5]:(class_Groups_Olinordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Oplus__class_Oplus(X5,X14,X14))<=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__less__double__add__iff__zero__less__single__add)).
% 247.18/174.24  fof(fact_double__add__le__zero__iff__single__add__le__zero, axiom, ![X14, X5]:(class_Groups_Olinordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oplus__class_Oplus(X5,X14,X14),c_Groups_Ozero__class_Ozero(X5))<=>c_Orderings_Oord__class_Oless__eq(X5,X14,c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_double__add__le__zero__iff__single__add__le__zero)).
% 247.18/174.24  fof(fact_even__less__0__iff, axiom, ![X14, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,X14,X14),c_Groups_Ozero__class_Ozero(X5))<=>c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_even__less__0__iff)).
% 247.18/174.24  fof(fact_double__add__less__zero__iff__single__add__less__zero, axiom, ![X14, X5]:(class_Groups_Olinordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,X14,X14),c_Groups_Ozero__class_Ozero(X5))<=>c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_double__add__less__zero__iff__single__add__less__zero)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J, axiom, ![X26, X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X26)=c_Groups_Oplus__class_Oplus(X5,c_Groups_Oplus__class_Oplus(X5,X17,X26),X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J)).
% 247.18/174.24  fof(fact_poly__gcd_Oassoc, axiom, ![X26, X25, X17, X5]:(class_Fields_Ofield(X5)=>c_Polynomial_Opoly__gcd(X5,c_Polynomial_Opoly__gcd(X5,X17,X25),X26)=c_Polynomial_Opoly__gcd(X5,X17,c_Polynomial_Opoly__gcd(X5,X25,X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd_Oassoc)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J, axiom, ![X26, X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X26)=c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Oplus__class_Oplus(X5,X25,X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J)).
% 247.18/174.24  fof(fact_ab__semigroup__add__class_Oadd__ac_I1_J, axiom, ![X26, X25, X17, X5]:(class_Groups_Oab__semigroup__add(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X26)=c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Oplus__class_Oplus(X5,X25,X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_ab__semigroup__add__class_Oadd__ac_I1_J)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J, axiom, ![X32, X26, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Oplus__class_Oplus(X5,X26,X32))=c_Groups_Oplus__class_Oplus(X5,c_Groups_Oplus__class_Oplus(X5,X17,X26),X32)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J)).
% 247.18/174.24  fof(fact_poly__gcd_Oleft__commute, axiom, ![X26, X17, X25, X5]:(class_Fields_Ofield(X5)=>c_Polynomial_Opoly__gcd(X5,X25,c_Polynomial_Opoly__gcd(X5,X17,X26))=c_Polynomial_Opoly__gcd(X5,X17,c_Polynomial_Opoly__gcd(X5,X25,X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd_Oleft__commute)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J, axiom, ![X32, X26, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Oplus__class_Oplus(X5,X26,X32))=c_Groups_Oplus__class_Oplus(X5,X26,c_Groups_Oplus__class_Oplus(X5,X17,X32))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J)).
% 247.18/174.24  fof(fact_div__mult__mult1__if, axiom, ![X25, X17, X26, X5]:(class_Divides_Osemiring__div(X5)=>((X26=c_Groups_Ozero__class_Ozero(X5)=>c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))=c_Groups_Ozero__class_Ozero(X5))&(X26!=c_Groups_Ozero__class_Ozero(X5)=>c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))=c_Divides_Odiv__class_Odiv(X5,X17,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult__mult1__if)).
% 247.18/174.24  fof(fact_div__mult__mult1, axiom, ![X25, X17, X26, X5]:(class_Divides_Osemiring__div(X5)=>(X26!=c_Groups_Ozero__class_Ozero(X5)=>c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))=c_Divides_Odiv__class_Odiv(X5,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult__mult1)).
% 247.18/174.24  fof(fact_div__mult__mult2, axiom, ![X25, X17, X26, X5]:(class_Divides_Osemiring__div(X5)=>(X26!=c_Groups_Ozero__class_Ozero(X5)=>c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))=c_Divides_Odiv__class_Odiv(X5,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult__mult2)).
% 247.18/174.24  fof(fact_mult__divide__mult__cancel__left, axiom, ![X25, X17, X26, X5]:(class_Fields_Ofield__inverse__zero(X5)=>(X26!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Odivide(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X17),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X26),X25))=c_Rings_Oinverse__class_Odivide(X5,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__divide__mult__cancel__left)).
% 247.18/174.24  fof(fact_mult__divide__mult__cancel__right, axiom, ![X25, X17, X26, X5]:(class_Fields_Ofield__inverse__zero(X5)=>(X26!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Odivide(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26))=c_Rings_Oinverse__class_Odivide(X5,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__divide__mult__cancel__right)).
% 247.18/174.24  fof(fact_inverse__less__imp__less, axiom, ![X25, X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Oinverse(X5,X17),c_Rings_Oinverse__class_Oinverse(X5,X25))=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>c_Orderings_Oord__class_Oless(X5,X25,X17)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__less__imp__less)).
% 247.18/174.24  fof(fact_inverse__less__imp__less__neg, axiom, ![X25, X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Oinverse(X5,X17),c_Rings_Oinverse__class_Oinverse(X5,X25))=>(c_Orderings_Oord__class_Oless(X5,X25,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,X25,X17)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__less__imp__less__neg)).
% 247.18/174.24  fof(fact_le__iff__diff__le__0, axiom, ![X19, X14, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X14,X19)<=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ominus__class_Ominus(X5,X14,X19),c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_le__iff__diff__le__0)).
% 247.18/174.24  fof(fact_less__iff__diff__less__0, axiom, ![X19, X14, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless(X5,X14,X19)<=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ominus__class_Ominus(X5,X14,X19),c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__iff__diff__less__0)).
% 247.18/174.24  fof(fact_smult__smult, axiom, ![X16, X25, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Osmult(X5,X17,c_Polynomial_Osmult(X5,X25,X16))=c_Polynomial_Osmult(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__smult)).
% 247.18/174.24  fof(fact_smult__monom, axiom, ![X12, X25, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Osmult(X5,X17,c_Polynomial_Omonom(X5,X25,X12))=c_Polynomial_Omonom(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__monom)).
% 247.18/174.24  fof(fact_zdvd__zmod, axiom, ![X12, X18, X85]:(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X85,X18)=>(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X85,X12)=>c_Rings_Odvd__class_Odvd(tc_Int_Oint,X85,c_Divides_Odiv__class_Omod(tc_Int_Oint,X18,X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdvd__zmod)).
% 247.18/174.24  fof(fact_dvd__diff__nat, axiom, ![X12, X18, X42]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X42,X18)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X42,X12)=>c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X42,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__diff__nat)).
% 247.18/174.24  fof(fact_nat__0__less__mult__iff, axiom, ![X13, X43]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X43),X13))<=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X43)&c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__0__less__mult__iff)).
% 247.18/174.24  fof(fact_times__divide__eq__right, axiom, ![X26, X25, X17, X5]:(class_Rings_Odivision__ring(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Rings_Oinverse__class_Odivide(X5,X25,X26))=c_Rings_Oinverse__class_Odivide(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_times__divide__eq__right)).
% 247.18/174.24  fof(fact_pos__poly__def, axiom, ![X10, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Polynomial_Opos__poly(X5,X10)<=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(c_Polynomial_Ocoeff(X5,X10),c_Polynomial_Odegree(X5,X10))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pos__poly__def)).
% 247.18/174.24  fof(fact_diff__eq__diff__less__eq, axiom, ![X40, X27, X19, X14, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Groups_Ominus__class_Ominus(X5,X14,X19)=c_Groups_Ominus__class_Ominus(X5,X27,X40)=>(c_Orderings_Oord__class_Oless__eq(X5,X14,X19)<=>c_Orderings_Oord__class_Oless__eq(X5,X27,X40)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__eq__diff__less__eq)).
% 247.18/174.24  fof(fact_diff__eq__diff__less, axiom, ![X40, X27, X19, X14, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Groups_Ominus__class_Ominus(X5,X14,X19)=c_Groups_Ominus__class_Ominus(X5,X27,X40)=>(c_Orderings_Oord__class_Oless(X5,X14,X19)<=>c_Orderings_Oord__class_Oless(X5,X27,X40)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__eq__diff__less)).
% 247.18/174.24  fof(fact_degree__add__eq__right, axiom, ![X24, X16, X5]:(class_Groups_Ocomm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5,X16),c_Polynomial_Odegree(X5,X24))=>c_Polynomial_Odegree(X5,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X16,X24))=c_Polynomial_Odegree(X5,X24))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__add__eq__right)).
% 247.18/174.24  fof(fact_degree__add__eq__left, axiom, ![X16, X24, X5]:(class_Groups_Ocomm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5,X24),c_Polynomial_Odegree(X5,X16))=>c_Polynomial_Odegree(X5,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X16,X24))=c_Polynomial_Odegree(X5,X16))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__add__eq__left)).
% 247.18/174.24  fof(fact_dvd__mult__cancel2, axiom, ![X13, X43]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X43)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X13),X43),X43)<=>X13=c_Groups_Oone__class_Oone(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mult__cancel2)).
% 247.18/174.24  fof(fact_dvd__mult__cancel1, axiom, ![X13, X43]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X43)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X43),X13),X43)<=>X13=c_Groups_Oone__class_Oone(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mult__cancel1)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J, axiom, ![X34, X35, X37, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X35),X34))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X35),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X37),X34))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J)).
% 247.18/174.24  fof(fact_diff__cancel, axiom, ![X12, X18, X42]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X42,X18),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X42,X12))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__cancel)).
% 247.18/174.24  fof(fact_diff__cancel2, axiom, ![X12, X42, X18]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X42),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,X42))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__cancel2)).
% 247.18/174.24  fof(fact_diff__commute, axiom, ![X42, X49, X51]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X51,X49),X42)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X51,X42),X49), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__commute)).
% 247.18/174.24  fof(fact_diff__diff__left, axiom, ![X42, X49, X51]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X51,X49),X42)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X51,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X49,X42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__diff__left)).
% 247.18/174.24  fof(fact_zadd__assoc, axiom, ![X60, X58, X59]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X59,X58),X60)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X59,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X58,X60)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zadd__assoc)).
% 247.18/174.24  fof(fact_nat__add__assoc, axiom, ![X42, X12, X18]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X12),X42)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,X42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__add__assoc)).
% 247.18/174.24  fof(fact_zadd__left__commute, axiom, ![X41, X33, X15]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X15,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X33,X41))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X33,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X15,X41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zadd__left__commute)).
% 247.18/174.24  fof(fact_nat__add__left__commute, axiom, ![X41, X33, X15]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X15,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X33,X41))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X33,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X15,X41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__add__left__commute)).
% 247.18/174.24  fof(fact_zless__add1__eq, axiom, ![X11, X38]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,X38,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X11,c_Groups_Oone__class_Oone(tc_Int_Oint)))<=>(c_Orderings_Oord__class_Oless(tc_Int_Oint,X38,X11)|X38=X11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zless__add1__eq)).
% 247.18/174.24  fof(fact_mod__mod__cancel, axiom, ![X17, X25, X26, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X26,X25)=>c_Divides_Odiv__class_Omod(X5,c_Divides_Odiv__class_Omod(X5,X17,X25),X26)=c_Divides_Odiv__class_Omod(X5,X17,X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mod__cancel)).
% 247.18/174.24  fof(fact_dvd__mult__left, axiom, ![X26, X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>(c_Rings_Odvd__class_Odvd(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X26)=>c_Rings_Odvd__class_Odvd(X5,X17,X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mult__left)).
% 247.18/174.24  fof(fact_dvd__mult__right, axiom, ![X26, X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>(c_Rings_Odvd__class_Odvd(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X26)=>c_Rings_Odvd__class_Odvd(X5,X25,X26))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mult__right)).
% 247.18/174.24  fof(fact_zmult__div__cancel, axiom, ![X18, X12]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X12),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X18,X12))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X18,c_Divides_Odiv__class_Omod(tc_Int_Oint,X18,X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmult__div__cancel)).
% 247.18/174.24  fof(fact_less__bin__lemma, axiom, ![X30, X47]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,X47,X30)<=>c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X47,X30),c_Groups_Ozero__class_Ozero(tc_Int_Oint))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__bin__lemma)).
% 247.18/174.24  fof(fact_zero__less__diff, axiom, ![X43, X13]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X13,X43))<=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__less__diff)).
% 247.18/174.24  fof(fact_less__add__eq__less, axiom, ![X12, X18, X69, X42]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X42,X69)=>(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X69)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X42,X12)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__add__eq__less)).
% 247.18/174.24  fof(fact_add__lessD1, axiom, ![X42, X49, X51]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X51,X49),X42)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X51,X42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__lessD1)).
% 247.18/174.24  fof(fact_dvd__reduce, axiom, ![X13, X47]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X47,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X13,X47))<=>c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X47,X13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__reduce)).
% 247.18/174.24  fof(fact_degree__mult__eq, axiom, ![X24, X16, X5]:(class_Rings_Oidom(X5)=>(X16!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>(X24!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>c_Polynomial_Odegree(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X16),X24))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X5,X16),c_Polynomial_Odegree(X5,X24))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__mult__eq)).
% 247.18/174.24  fof(fact_div__mult2__eq, axiom, ![X26, X25, X17]:c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X25),X26))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X17,X25),X26), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult2__eq)).
% 247.18/174.24  fof(fact_add__nonneg__eq__0__iff, axiom, ![X20, X7, X5]:(class_Groups_Oordered__comm__monoid__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X7)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X20)=>(c_Groups_Oplus__class_Oplus(X5,X7,X20)=c_Groups_Ozero__class_Ozero(X5)<=>(X7=c_Groups_Ozero__class_Ozero(X5)&X20=c_Groups_Ozero__class_Ozero(X5)))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__nonneg__eq__0__iff)).
% 247.18/174.24  fof(fact_less__imp__inverse__less, axiom, ![X25, X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Oinverse(X5,X25),c_Rings_Oinverse__class_Oinverse(X5,X17))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__imp__inverse__less)).
% 247.18/174.24  fof(fact_less__imp__inverse__less__neg, axiom, ![X25, X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,X25)=>(c_Orderings_Oord__class_Oless(X5,X25,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Oinverse(X5,X25),c_Rings_Oinverse__class_Oinverse(X5,X17))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__imp__inverse__less__neg)).
% 247.18/174.24  fof(fact_dvd__neg__div, axiom, ![X15, X33, X5]:(class_Divides_Oring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X33,X15)=>c_Divides_Odiv__class_Odiv(X5,c_Groups_Ouminus__class_Ouminus(X5,X15),X33)=c_Groups_Ouminus__class_Ouminus(X5,c_Divides_Odiv__class_Odiv(X5,X15,X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__neg__div)).
% 247.18/174.24  fof(fact_dvd__div__neg, axiom, ![X15, X33, X5]:(class_Divides_Oring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X33,X15)=>c_Divides_Odiv__class_Odiv(X5,X15,c_Groups_Ouminus__class_Ouminus(X5,X33))=c_Groups_Ouminus__class_Ouminus(X5,c_Divides_Odiv__class_Odiv(X5,X15,X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__div__neg)).
% 247.18/174.24  fof(fact_frac__eq__eq, axiom, ![X38, X7, X11, X20, X5]:(class_Fields_Ofield(X5)=>(X20!=c_Groups_Ozero__class_Ozero(X5)=>(X11!=c_Groups_Ozero__class_Ozero(X5)=>(c_Rings_Oinverse__class_Odivide(X5,X7,X20)=c_Rings_Oinverse__class_Odivide(X5,X38,X11)<=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X11)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X38),X20))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_frac__eq__eq)).
% 247.18/174.24  fof(fact_zero__less__power__nat__eq, axiom, ![X13, X7]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X7),X13))<=>(X13=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__less__power__nat__eq)).
% 247.18/174.24  fof(fact_nat__zero__less__power__iff, axiom, ![X13, X7]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X7),X13))<=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X7)|X13=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__zero__less__power__iff)).
% 247.18/174.24  fof(fact_nat__mult__div__cancel__disj, axiom, ![X12, X18, X42]:((X42=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X18),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X12))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(X42!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X18),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X42),X12))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X18,X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__mult__div__cancel__disj)).
% 247.18/174.24  fof(fact_zmod__zminus1__eq__if, axiom, ![X25, X17]:((c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X17),X25)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))&(c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X17),X25)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X25,c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__zminus1__eq__if)).
% 247.18/174.24  fof(fact_zmod__zminus2__eq__if, axiom, ![X25, X17]:((c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X25))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))&(c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X25))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25),X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__zminus2__eq__if)).
% 247.18/174.24  fof(fact_one__less__inverse__iff, axiom, ![X7, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),c_Rings_Oinverse__class_Oinverse(X5,X7))<=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X7)&c_Orderings_Oord__class_Oless(X5,X7,c_Groups_Oone__class_Oone(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_one__less__inverse__iff)).
% 247.18/174.24  fof(fact_one__less__inverse, axiom, ![X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>(c_Orderings_Oord__class_Oless(X5,X17,c_Groups_Oone__class_Oone(X5))=>c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),c_Rings_Oinverse__class_Oinverse(X5,X17))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_one__less__inverse)).
% 247.18/174.24  fof(fact_less__poly__def, axiom, ![X20, X7, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X5),X7,X20)<=>c_Polynomial_Opos__poly(X5,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),X20,X7)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__poly__def)).
% 247.18/174.24  fof(fact_offset__poly__single, axiom, ![X8, X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,c_Polynomial_OpCons(X5,X17,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X8)=c_Polynomial_OpCons(X5,X17,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_offset__poly__single)).
% 247.18/174.24  fof(fact_smult__dvd, axiom, ![X17, X24, X16, X5]:(class_Fields_Ofield(X5)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X16,X24)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X17,X16),X24)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__dvd)).
% 247.18/174.24  fof(fact_pos__poly__pCons, axiom, ![X10, X14, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Polynomial_Opos__poly(X5,c_Polynomial_OpCons(X5,X14,X10))<=>(c_Polynomial_Opos__poly(X5,X10)|(X10=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))&c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X14))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pos__poly__pCons)).
% 247.18/174.24  fof(fact_dvd__smult, axiom, ![X17, X24, X16, X5]:(class_Rings_Ocomm__semiring__1(X5)=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X16,X24)=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),X16,c_Polynomial_Osmult(X5,X17,X24)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__smult)).
% 247.18/174.24  fof(fact_power__inject__exp, axiom, ![X13, X43, X14, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),X14)=>(hAPP(hAPP(c_Power_Opower__class_Opower(X5),X14),X43)=hAPP(hAPP(c_Power_Opower__class_Opower(X5),X14),X13)<=>X43=X13))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__inject__exp)).
% 247.18/174.24  fof(fact_coeff__monom, axiom, ![X17, X12, X18, X5]:(class_Groups_Ozero(X5)=>((X18=X12=>hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_Omonom(X5,X17,X18)),X12)=X17)&(X18!=X12=>hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_Omonom(X5,X17,X18)),X12)=c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__monom)).
% 247.18/174.24  fof(fact_one__le__power, axiom, ![X12, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oone__class_Oone(X5),X17)=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oone__class_Oone(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_one__le__power)).
% 247.18/174.24  fof(fact_zero__le__power, axiom, ![X12, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__le__power)).
% 247.18/174.24  fof(fact_zero__less__power, axiom, ![X12, X17, X5]:(class_Rings_Olinordered__semidom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__less__power)).
% 247.18/174.24  fof(fact_coeff__pCons__0, axiom, ![X16, X17, X5]:(class_Groups_Ozero(X5)=>hAPP(c_Polynomial_Ocoeff(X5,c_Polynomial_OpCons(X5,X17,X16)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__pCons__0)).
% 247.18/174.24  fof(fact_nonzero__inverse__mult__distrib, axiom, ![X25, X17, X5]:(class_Rings_Odivision__ring(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Rings_Oinverse__class_Oinverse(X5,X25)),c_Rings_Oinverse__class_Oinverse(X5,X17))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nonzero__inverse__mult__distrib)).
% 247.18/174.24  fof(fact_odd__nonzero, axiom, ![X41]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X41),X41)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_odd__nonzero)).
% 247.18/174.24  fof(fact_power_Opower_Opower__0, axiom, ![X14, X61, X62, X5]:hAPP(hAPP(c_Power_Opower_Opower(X5,X62,X61),X14),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X62, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power_Opower_Opower__0)).
% 247.18/174.24  fof(fact_dvd__mult__div__cancel, axiom, ![X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X17,X25)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Divides_Odiv__class_Odiv(X5,X25,X17))=X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mult__div__cancel)).
% 247.18/174.24  fof(fact_sgn__mult, axiom, ![X33, X15, X5]:(class_RealVector_Oreal__normed__div__algebra(X5)=>c_Groups_Osgn__class_Osgn(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X33))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Osgn__class_Osgn(X5,X15)),c_Groups_Osgn__class_Osgn(X5,X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__mult)).
% 247.18/174.24  fof(fact_sgn__times, axiom, ![X25, X17, X5]:(class_Rings_Olinordered__idom(X5)=>c_Groups_Osgn__class_Osgn(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Osgn__class_Osgn(X5,X17)),c_Groups_Osgn__class_Osgn(X5,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__times)).
% 247.18/174.24  fof(fact_inverse__mult__distrib, axiom, ![X25, X17, X5]:(class_Fields_Ofield__inverse__zero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Rings_Oinverse__class_Oinverse(X5,X17)),c_Rings_Oinverse__class_Oinverse(X5,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__mult__distrib)).
% 247.18/174.24  fof(fact_dvd__power, axiom, ![X15, X12, X5]:(class_Rings_Ocomm__semiring__1(X5)=>((c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)|X15=c_Groups_Oone__class_Oone(X5))=>c_Rings_Odvd__class_Odvd(X5,X15,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),X12)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__power)).
% 247.18/174.24  fof(fact_minus__poly__code_I2_J, axiom, ![X16, X17, X4]:(class_Groups_Oab__group__add(X4)=>c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X4),c_Polynomial_OpCons(X4,X17,X16))=c_Polynomial_OpCons(X4,c_Groups_Ouminus__class_Ouminus(X4,X17),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X4),X16))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__poly__code_I2_J)).
% 247.18/174.24  fof(fact_minus__pCons, axiom, ![X16, X17, X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),c_Polynomial_OpCons(X5,X17,X16))=c_Polynomial_OpCons(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X16))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__pCons)).
% 247.18/174.24  fof(fact_dvd__mult2, axiom, ![X26, X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>(c_Rings_Odvd__class_Odvd(X5,X17,X25)=>c_Rings_Odvd__class_Odvd(X5,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mult2)).
% 247.18/174.24  fof(fact_dvd__mult, axiom, ![X25, X26, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>(c_Rings_Odvd__class_Odvd(X5,X17,X26)=>c_Rings_Odvd__class_Odvd(X5,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__mult)).
% 247.18/174.24  fof(fact_poly__gcd_Osimps_I2_J, axiom, ![X15, X33, X5]:(class_Fields_Ofield(X5)=>(X33!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>c_Polynomial_Opoly__gcd(X5,X15,X33)=c_Polynomial_Opoly__gcd(X5,X33,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd_Osimps_I2_J)).
% 247.18/174.24  fof(fact_zmod__le__nonneg__dividend, axiom, ![X42, X18]:(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X18)=>c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X18,X42),X18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__le__nonneg__dividend)).
% 247.18/174.24  fof(fact_pos__mod__bound, axiom, ![X17, X25]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X25)=>c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25),X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pos__mod__bound)).
% 247.18/174.24  fof(fact_mod__less__divisor, axiom, ![X18, X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__less__divisor)).
% 247.18/174.24  fof(fact_neg__mod__bound, axiom, ![X17, X25]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,X25,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=>c_Orderings_Oord__class_Oless(tc_Int_Oint,X25,c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__mod__bound)).
% 247.18/174.24  fof(fact_poly__div__minus__left, axiom, ![X33, X15, X5]:(class_Fields_Ofield(X5)=>c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X15),X33)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5),X15,X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__div__minus__left)).
% 247.18/174.24  fof(fact_poly__mod__minus__left, axiom, ![X33, X15, X5]:(class_Fields_Ofield(X5)=>c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X15),X33)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__mod__minus__left)).
% 247.18/174.24  fof(fact_poly__div__minus__right, axiom, ![X33, X15, X5]:(class_Fields_Ofield(X5)=>c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5),X15,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X33))=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5),X15,X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__div__minus__right)).
% 247.18/174.24  fof(fact_less__imp__diff__less, axiom, ![X12, X42, X49]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X49,X42)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X49,X12),X42)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__imp__diff__less)).
% 247.18/174.24  fof(fact_termination__basic__simps_I1_J, axiom, ![X41, X33, X15]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X15,X33)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X15,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X33,X41))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_termination__basic__simps_I1_J)).
% 247.18/174.24  fof(fact_trans__less__add1, axiom, ![X18, X49, X51]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X51,X49)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X51,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X49,X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_trans__less__add1)).
% 247.18/174.24  fof(fact_termination__basic__simps_I2_J, axiom, ![X33, X41, X15]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X15,X41)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X15,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X33,X41))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_termination__basic__simps_I2_J)).
% 247.18/174.24  fof(fact_trans__less__add2, axiom, ![X18, X49, X51]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X51,X49)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X51,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X49))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_trans__less__add2)).
% 247.18/174.24  fof(fact_mod__smult__right, axiom, ![X33, X15, X17, X5]:(class_Fields_Ofield(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,c_Polynomial_Osmult(X5,X17,X33))=c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__smult__right)).
% 247.18/174.24  fof(fact_dvd__div__eq__mult, axiom, ![X27, X19, X14, X5]:(class_Divides_Osemiring__div(X5)=>(X14!=c_Groups_Ozero__class_Ozero(X5)=>(c_Rings_Odvd__class_Odvd(X5,X14,X19)=>(c_Divides_Odiv__class_Odiv(X5,X19,X14)=X27<=>X19=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X27),X14))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__div__eq__mult)).
% 247.18/174.24  fof(fact_zmod__zminus2, axiom, ![X25, X17]:c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X25))=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X17),X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__zminus2)).
% 247.18/174.24  fof(fact_nat__mult__eq__cancel1, axiom, ![X13, X43, X47]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X47)=>(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X43)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X13)<=>X43=X13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__mult__eq__cancel1)).
% 247.18/174.24  fof(fact_zdvd__mult__div__cancel, axiom, ![X18, X12]:(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X12,X18)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X12),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X18,X12))=X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdvd__mult__div__cancel)).
% 247.18/174.24  fof(fact_dvd__trans, axiom, ![X26, X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>(c_Rings_Odvd__class_Odvd(X5,X17,X25)=>(c_Rings_Odvd__class_Odvd(X5,X25,X26)=>c_Rings_Odvd__class_Odvd(X5,X17,X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__trans)).
% 247.18/174.24  fof(fact_Limits_Ominus__diff__minus, axiom, ![X25, X17, X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Ominus__class_Ominus(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Groups_Ouminus__class_Ouminus(X5,X25))=c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Limits_Ominus__diff__minus)).
% 247.18/174.24  fof(fact_minus__add__distrib, axiom, ![X25, X17, X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25))=c_Groups_Oplus__class_Oplus(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Groups_Ouminus__class_Ouminus(X5,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__add__distrib)).
% 247.18/174.24  fof(fact_minus__add, axiom, ![X25, X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25))=c_Groups_Oplus__class_Oplus(X5,c_Groups_Ouminus__class_Ouminus(X5,X25),c_Groups_Ouminus__class_Ouminus(X5,X17))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__add)).
% 247.18/174.24  fof(fact_mod__poly__less, axiom, ![X33, X15, X5]:(class_Fields_Ofield(X5)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5,X15),c_Polynomial_Odegree(X5,X33))=>c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33)=X15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__poly__less)).
% 247.18/174.24  fof(fact_nonzero__power__inverse, axiom, ![X12, X17, X5]:(class_Rings_Odivision__ring(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))=hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Rings_Oinverse__class_Oinverse(X5,X17)),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nonzero__power__inverse)).
% 247.18/174.24  fof(fact_div__mult__self1__is__m, axiom, ![X18, X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=>c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X12),X18),X12)=X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult__self1__is__m)).
% 247.18/174.24  fof(fact_div__mult__self__is__m, axiom, ![X18, X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=>c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X12),X12)=X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult__self__is__m)).
% 247.18/174.24  fof(fact_neg__le__iff__le, axiom, ![X14, X19, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ouminus__class_Ouminus(X5,X19),c_Groups_Ouminus__class_Ouminus(X5,X14))<=>c_Orderings_Oord__class_Oless__eq(X5,X14,X19))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__le__iff__le)).
% 247.18/174.24  fof(fact_neg__less__iff__less, axiom, ![X14, X19, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ouminus__class_Ouminus(X5,X19),c_Groups_Ouminus__class_Ouminus(X5,X14))<=>c_Orderings_Oord__class_Oless(X5,X14,X19))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__less__iff__less)).
% 247.18/174.24  fof(fact_dvd__pos__nat, axiom, ![X18, X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X18,X12)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X18))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__pos__nat)).
% 247.18/174.24  fof(fact_mult_Ominus__left, axiom, ![X25, X17, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ouminus__class_Ouminus(X5,X17)),X25)=c_Groups_Ouminus__class_Ouminus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult_Ominus__left)).
% 247.18/174.24  fof(fact_mult__left_Ominus, axiom, ![X33, X15, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ouminus__class_Ouminus(X5,X15)),X33)=c_Groups_Ouminus__class_Ouminus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__left_Ominus)).
% 247.18/174.24  fof(fact_power__inverse, axiom, ![X12, X17, X5]:(class_Rings_Odivision__ring__inverse__zero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12))=hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Rings_Oinverse__class_Oinverse(X5,X17)),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__inverse)).
% 247.18/174.24  fof(fact_minus__mult__left, axiom, ![X25, X17, X5]:(class_Rings_Oring(X5)=>c_Groups_Ouminus__class_Ouminus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ouminus__class_Ouminus(X5,X17)),X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__mult__left)).
% 247.18/174.24  fof(fact_smult__minus__right, axiom, ![X16, X17, X5]:(class_Rings_Ocomm__ring(X5)=>c_Polynomial_Osmult(X5,X17,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X16))=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X17,X16))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__minus__right)).
% 247.18/174.24  fof(fact_mod__mod__trivial, axiom, ![X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Divides_Odiv__class_Omod(X5,X17,X25),X25)=c_Divides_Odiv__class_Omod(X5,X17,X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mod__trivial)).
% 247.18/174.24  fof(fact_mod__add__self1, axiom, ![X17, X25, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X25,X17),X25)=c_Divides_Odiv__class_Omod(X5,X17,X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__add__self1)).
% 247.18/174.24  fof(fact_mod__add__self2, axiom, ![X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X25)=c_Divides_Odiv__class_Omod(X5,X17,X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__add__self2)).
% 247.18/174.24  fof(fact_add__minus__cancel, axiom, ![X25, X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Oplus__class_Oplus(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),X25))=X25), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__minus__cancel)).
% 247.18/174.24  fof(fact_zle__trans, axiom, ![X42, X49, X51]:(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X51,X49)=>(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X49,X42)=>c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X51,X42))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zle__trans)).
% 247.18/174.24  fof(fact_dvd_Oorder__trans, axiom, ![X41, X33, X15]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X41)=>c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X41))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Oorder__trans)).
% 247.18/174.24  fof(fact_pos__poly__mult, axiom, ![X24, X16, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Polynomial_Opos__poly(X5,X16)=>(c_Polynomial_Opos__poly(X5,X24)=>c_Polynomial_Opos__poly(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X16),X24))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pos__poly__mult)).
% 247.18/174.24  fof(fact_coeff__minus, axiom, ![X12, X16, X5]:(class_Groups_Oab__group__add(X5)=>hAPP(c_Polynomial_Ocoeff(X5,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X16)),X12)=c_Groups_Ouminus__class_Ouminus(X5,hAPP(c_Polynomial_Ocoeff(X5,X16),X12))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__minus)).
% 247.18/174.24  fof(fact_poly__minus, axiom, ![X15, X16, X5]:(class_Rings_Ocomm__ring(X5)=>hAPP(c_Polynomial_Opoly(X5,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X16)),X15)=c_Groups_Ouminus__class_Ouminus(X5,hAPP(c_Polynomial_Opoly(X5,X16),X15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__minus)).
% 247.18/174.24  fof(fact_minus__le__iff, axiom, ![X19, X14, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ouminus__class_Ouminus(X5,X14),X19)<=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ouminus__class_Ouminus(X5,X19),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__le__iff)).
% 247.18/174.24  fof(fact_minus__less__iff, axiom, ![X19, X14, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ouminus__class_Ouminus(X5,X14),X19)<=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ouminus__class_Ouminus(X5,X19),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__less__iff)).
% 247.18/174.24  fof(fact_le__minus__iff, axiom, ![X19, X14, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X14,c_Groups_Ouminus__class_Ouminus(X5,X19))<=>c_Orderings_Oord__class_Oless__eq(X5,X19,c_Groups_Ouminus__class_Ouminus(X5,X14)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_le__minus__iff)).
% 247.18/174.24  fof(fact_less__minus__iff, axiom, ![X19, X14, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ouminus__class_Ouminus(X5,X19))<=>c_Orderings_Oord__class_Oless(X5,X19,c_Groups_Ouminus__class_Ouminus(X5,X14)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__minus__iff)).
% 247.18/174.24  fof(fact_zmod__zminus__zminus, axiom, ![X25, X17]:c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X17),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X25))=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__zminus__zminus)).
% 247.18/174.24  fof(fact_zminus__zadd__distrib, axiom, ![X57, X41]:c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X41,X57))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X41),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zminus__zadd__distrib)).
% 247.18/174.24  fof(fact_minus__monom, axiom, ![X12, X17, X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),c_Polynomial_Omonom(X5,X17,X12))=c_Polynomial_Omonom(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__monom)).
% 247.18/174.24  fof(fact_smult__minus__left, axiom, ![X16, X17, X5]:(class_Rings_Ocomm__ring(X5)=>c_Polynomial_Osmult(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),X16)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),c_Polynomial_Osmult(X5,X17,X16))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__minus__left)).
% 247.18/174.24  fof(fact_nonzero__minus__divide__right, axiom, ![X17, X25, X5]:(class_Rings_Odivision__ring(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Ouminus__class_Ouminus(X5,c_Rings_Oinverse__class_Odivide(X5,X17,X25))=c_Rings_Oinverse__class_Odivide(X5,X17,c_Groups_Ouminus__class_Ouminus(X5,X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nonzero__minus__divide__right)).
% 247.18/174.24  fof(fact_inverse__positive__imp__positive, axiom, ![X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Rings_Oinverse__class_Oinverse(X5,X17))=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__positive__imp__positive)).
% 247.18/174.24  fof(fact_inverse__negative__imp__negative, axiom, ![X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Oinverse(X5,X17),c_Groups_Ozero__class_Ozero(X5))=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Orderings_Oord__class_Oless(X5,X17,c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__negative__imp__negative)).
% 247.18/174.24  fof(fact_degree__synthetic__div, axiom, ![X26, X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Odegree(X5,c_Polynomial_Osynthetic__div(X5,X16,X26))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Polynomial_Odegree(X5,X16),c_Groups_Oone__class_Oone(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__synthetic__div)).
% 247.18/174.24  fof(fact_divide_Ominus, axiom, ![X33, X15, X5]:(class_RealVector_Oreal__normed__field(X5)=>c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ouminus__class_Ouminus(X5,X15),X33)=c_Groups_Ouminus__class_Ouminus(X5,c_Rings_Oinverse__class_Odivide(X5,X15,X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide_Ominus)).
% 247.18/174.24  fof(fact_minus__divide__left, axiom, ![X25, X17, X5]:(class_Rings_Odivision__ring(X5)=>c_Groups_Ouminus__class_Ouminus(X5,c_Rings_Oinverse__class_Odivide(X5,X17,X25))=c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__divide__left)).
% 247.18/174.24  fof(fact_minus__divide__right, axiom, ![X25, X17, X5]:(class_Fields_Ofield__inverse__zero(X5)=>c_Groups_Ouminus__class_Ouminus(X5,c_Rings_Oinverse__class_Odivide(X5,X17,X25))=c_Rings_Oinverse__class_Odivide(X5,X17,c_Groups_Ouminus__class_Ouminus(X5,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__divide__right)).
% 247.18/174.24  fof(fact_neg__le__0__iff__le, axiom, ![X14, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ouminus__class_Ouminus(X5,X14),c_Groups_Ozero__class_Ozero(X5))<=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__le__0__iff__le)).
% 247.18/174.24  fof(fact_neg__less__0__iff__less, axiom, ![X14, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ouminus__class_Ouminus(X5,X14),c_Groups_Ozero__class_Ozero(X5))<=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__less__0__iff__less)).
% 247.18/174.24  fof(fact_inverse__nonnegative__iff__nonnegative, axiom, ![X14, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),c_Rings_Oinverse__class_Oinverse(X5,X14))<=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__nonnegative__iff__nonnegative)).
% 247.18/174.24  fof(fact_inverse__positive__iff__positive, axiom, ![X14, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Rings_Oinverse__class_Oinverse(X5,X14))<=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__positive__iff__positive)).
% 247.18/174.24  fof(fact_sgn__greater, axiom, ![X14, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Osgn__class_Osgn(X5,X14))<=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__greater)).
% 247.18/174.24  fof(fact_inverse__nonpositive__iff__nonpositive, axiom, ![X14, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Rings_Oinverse__class_Oinverse(X5,X14),c_Groups_Ozero__class_Ozero(X5))<=>c_Orderings_Oord__class_Oless__eq(X5,X14,c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__nonpositive__iff__nonpositive)).
% 247.18/174.24  fof(fact_inverse__negative__iff__negative, axiom, ![X14, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Oinverse(X5,X14),c_Groups_Ozero__class_Ozero(X5))<=>c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__negative__iff__negative)).
% 247.18/174.24  fof(fact_sgn__less, axiom, ![X14, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Osgn__class_Osgn(X5,X14),c_Groups_Ozero__class_Ozero(X5))<=>c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__less)).
% 247.18/174.24  fof(fact_neg__0__le__iff__le, axiom, ![X14, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Ouminus__class_Ouminus(X5,X14))<=>c_Orderings_Oord__class_Oless__eq(X5,X14,c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__0__le__iff__le)).
% 247.18/174.24  fof(fact_neg__0__less__iff__less, axiom, ![X14, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Ouminus__class_Ouminus(X5,X14))<=>c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__0__less__iff__less)).
% 247.18/174.24  fof(fact_mult_Ominus__right, axiom, ![X25, X17, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Ouminus__class_Ouminus(X5,X25))=c_Groups_Ouminus__class_Ouminus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult_Ominus__right)).
% 247.18/174.24  fof(fact_mult__right_Ominus, axiom, ![X15, X46, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X46),c_Groups_Ouminus__class_Ouminus(X5,X15))=c_Groups_Ouminus__class_Ouminus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X46),X15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__right_Ominus)).
% 247.18/174.24  fof(fact_minus__mult__right, axiom, ![X25, X17, X5]:(class_Rings_Oring(X5)=>c_Groups_Ouminus__class_Ouminus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Ouminus__class_Ouminus(X5,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__mult__right)).
% 247.18/174.24  fof(fact_le__imp__neg__le, axiom, ![X25, X17, X5]:(class_Groups_Oordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X17,X25)=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ouminus__class_Ouminus(X5,X25),c_Groups_Ouminus__class_Ouminus(X5,X17)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_le__imp__neg__le)).
% 247.18/174.24  fof(fact_zero__less__two, axiom, ![X5]:(class_Rings_Olinordered__semidom(X5)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Oplus__class_Oplus(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Oone__class_Oone(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__less__two)).
% 247.18/174.24  fof(fact_minus__add__cancel, axiom, ![X25, X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Groups_Oplus__class_Oplus(X5,X17,X25))=X25), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__add__cancel)).
% 247.18/174.24  fof(fact_minus__le__self__iff, axiom, ![X14, X5]:(class_Groups_Olinordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ouminus__class_Ouminus(X5,X14),X14)<=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__le__self__iff)).
% 247.18/174.24  fof(fact_neg__less__nonneg, axiom, ![X14, X5]:(class_Groups_Olinordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ouminus__class_Ouminus(X5,X14),X14)<=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__less__nonneg)).
% 247.18/174.24  fof(fact_le__minus__self__iff, axiom, ![X14, X5]:(class_Groups_Olinordered__ab__group__add(X5)=>(c_Orderings_Oord__class_Oless__eq(X5,X14,c_Groups_Ouminus__class_Ouminus(X5,X14))<=>c_Orderings_Oord__class_Oless__eq(X5,X14,c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_le__minus__self__iff)).
% 247.18/174.24  fof(fact_less__minus__self__iff, axiom, ![X14, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ouminus__class_Ouminus(X5,X14))<=>c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__minus__self__iff)).
% 247.18/174.24  fof(fact_zmult__zminus, axiom, ![X57, X41]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X41)),X57)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X41),X57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmult__zminus)).
% 247.18/174.24  fof(fact_nat__less__cases, axiom, ![X31, X13, X43]:((c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13)=>hBOOL(hAPP(hAPP(X31,X13),X43)))=>((X43=X13=>hBOOL(hAPP(hAPP(X31,X13),X43)))=>((c_Orderings_Oord__class_Oless(tc_Nat_Onat,X13,X43)=>hBOOL(hAPP(hAPP(X31,X13),X43)))=>hBOOL(hAPP(hAPP(X31,X13),X43))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__less__cases)).
% 247.18/174.24  fof(fact_negative__imp__inverse__negative, axiom, ![X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Oinverse(X5,X17),c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_negative__imp__inverse__negative)).
% 247.18/174.24  fof(fact_positive__imp__inverse__positive, axiom, ![X17, X5]:(class_Fields_Olinordered__field(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Rings_Oinverse__class_Oinverse(X5,X17)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_positive__imp__inverse__positive)).
% 247.18/174.24  fof(fact_synthetic__div__unique__lemma, axiom, ![X17, X16, X26, X5]:(class_Rings_Ocomm__semiring__0(X5)=>(c_Polynomial_Osmult(X5,X26,X16)=c_Polynomial_OpCons(X5,X17,X16)=>X16=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_synthetic__div__unique__lemma)).
% 247.18/174.24  fof(fact_minus__mult__minus, axiom, ![X25, X17, X5]:(class_Rings_Oring(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ouminus__class_Ouminus(X5,X17)),c_Groups_Ouminus__class_Ouminus(X5,X25))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__mult__minus)).
% 247.18/174.24  fof(fact_minus__mult__commute, axiom, ![X25, X17, X5]:(class_Rings_Oring(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ouminus__class_Ouminus(X5,X17)),X25)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Ouminus__class_Ouminus(X5,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__mult__commute)).
% 247.18/174.24  fof(fact_minus__dvd__iff, axiom, ![X20, X7, X5]:(class_Rings_Ocomm__ring__1(X5)=>(c_Rings_Odvd__class_Odvd(X5,c_Groups_Ouminus__class_Ouminus(X5,X7),X20)<=>c_Rings_Odvd__class_Odvd(X5,X7,X20))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__dvd__iff)).
% 247.18/174.24  fof(fact_dvd__minus__iff, axiom, ![X20, X7, X5]:(class_Rings_Ocomm__ring__1(X5)=>(c_Rings_Odvd__class_Odvd(X5,X7,c_Groups_Ouminus__class_Ouminus(X5,X20))<=>c_Rings_Odvd__class_Odvd(X5,X7,X20))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__minus__iff)).
% 247.18/174.24  fof(fact_square__eq__iff, axiom, ![X19, X14, X5]:(class_Rings_Oidom(X5)=>(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X14)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X19),X19)<=>(X14=X19|X14=c_Groups_Ouminus__class_Ouminus(X5,X19)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_square__eq__iff)).
% 247.18/174.24  fof(fact_pos__poly__add, axiom, ![X24, X16, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Polynomial_Opos__poly(X5,X16)=>(c_Polynomial_Opos__poly(X5,X24)=>c_Polynomial_Opos__poly(X5,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X16,X24))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pos__poly__add)).
% 247.18/174.24  fof(fact_diff__eq__diff__eq, axiom, ![X40, X27, X19, X14, X5]:(class_Groups_Oab__group__add(X5)=>(c_Groups_Ominus__class_Ominus(X5,X14,X19)=c_Groups_Ominus__class_Ominus(X5,X27,X40)=>(X14=X19<=>X27=X40))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__eq__diff__eq)).
% 247.18/174.24  fof(fact_inverse__divide, axiom, ![X25, X17, X5]:(class_Fields_Ofield__inverse__zero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,c_Rings_Oinverse__class_Odivide(X5,X17,X25))=c_Rings_Oinverse__class_Odivide(X5,X25,X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__divide)).
% 247.18/174.24  fof(fact_minus__diff__eq, axiom, ![X25, X17, X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25))=c_Groups_Ominus__class_Ominus(X5,X25,X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__diff__eq)).
% 247.18/174.24  fof(fact_less__add__one, axiom, ![X17, X5]:(class_Rings_Olinordered__semidom(X5)=>c_Orderings_Oord__class_Oless(X5,X17,c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Oone__class_Oone(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__add__one)).
% 247.18/174.24  fof(fact_pCons__eq__iff, axiom, ![X21, X19, X10, X14, X5]:(class_Groups_Ozero(X5)=>(c_Polynomial_OpCons(X5,X14,X10)=c_Polynomial_OpCons(X5,X19,X21)<=>(X14=X19&X10=X21))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pCons__eq__iff)).
% 247.18/174.24  fof(fact_add__right__cancel, axiom, ![X27, X14, X19, X5]:(class_Groups_Ocancel__semigroup__add(X5)=>(c_Groups_Oplus__class_Oplus(X5,X19,X14)=c_Groups_Oplus__class_Oplus(X5,X27,X14)<=>X19=X27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__right__cancel)).
% 247.18/174.24  fof(fact_add__right__imp__eq, axiom, ![X26, X17, X25, X5]:(class_Groups_Ocancel__semigroup__add(X5)=>(c_Groups_Oplus__class_Oplus(X5,X25,X17)=c_Groups_Oplus__class_Oplus(X5,X26,X17)=>X25=X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__right__imp__eq)).
% 247.18/174.24  fof(fact_monom__eq__iff, axiom, ![X19, X13, X14, X5]:(class_Groups_Ozero(X5)=>(c_Polynomial_Omonom(X5,X14,X13)=c_Polynomial_Omonom(X5,X19,X13)<=>X14=X19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_monom__eq__iff)).
% 247.18/174.24  fof(fact_add__imp__eq, axiom, ![X26, X25, X17, X5]:(class_Groups_Ocancel__ab__semigroup__add(X5)=>(c_Groups_Oplus__class_Oplus(X5,X17,X25)=c_Groups_Oplus__class_Oplus(X5,X17,X26)=>X25=X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__imp__eq)).
% 247.18/174.24  fof(fact_add__left__cancel, axiom, ![X27, X19, X14, X5]:(class_Groups_Ocancel__semigroup__add(X5)=>(c_Groups_Oplus__class_Oplus(X5,X14,X19)=c_Groups_Oplus__class_Oplus(X5,X14,X27)<=>X19=X27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__left__cancel)).
% 247.18/174.24  fof(fact_add__left__imp__eq, axiom, ![X26, X25, X17, X5]:(class_Groups_Ocancel__semigroup__add(X5)=>(c_Groups_Oplus__class_Oplus(X5,X17,X25)=c_Groups_Oplus__class_Oplus(X5,X17,X26)=>X25=X26)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__left__imp__eq)).
% 247.18/174.24  fof(fact_order__root, axiom, ![X14, X10, X5]:(class_Rings_Oidom(X5)=>(hAPP(c_Polynomial_Opoly(X5,X10),X14)=c_Groups_Ozero__class_Ozero(X5)<=>(X10=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))|c_Polynomial_Oorder(X5,X14,X10)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_order__root)).
% 247.18/174.24  fof(fact_diffs0__imp__equal, axiom, ![X12, X18]:(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X12,X18)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>X18=X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diffs0__imp__equal)).
% 247.18/174.24  fof(fact_coeff__eq__0, axiom, ![X12, X16, X5]:(class_Groups_Ozero(X5)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5,X16),X12)=>hAPP(c_Polynomial_Ocoeff(X5,X16),X12)=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__eq__0)).
% 247.18/174.24  fof(fact_poly__gcd__dvd1, axiom, ![X33, X15, X5]:(class_Fields_Ofield(X5)=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),c_Polynomial_Opoly__gcd(X5,X15,X33),X15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd__dvd1)).
% 247.18/174.24  fof(fact_poly__gcd__dvd2, axiom, ![X33, X15, X5]:(class_Fields_Ofield(X5)=>c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),c_Polynomial_Opoly__gcd(X5,X15,X33),X33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd__dvd2)).
% 247.18/174.24  fof(fact_nonzero__minus__divide__divide, axiom, ![X17, X25, X5]:(class_Rings_Odivision__ring(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Groups_Ouminus__class_Ouminus(X5,X25))=c_Rings_Oinverse__class_Odivide(X5,X17,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nonzero__minus__divide__divide)).
% 247.18/174.24  fof(fact_uminus__dvd__conv_I1_J, axiom, ![X56, X40]:(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X40,X56)<=>c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X40),X56)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_uminus__dvd__conv_I1_J)).
% 247.18/174.24  fof(fact_uminus__dvd__conv_I2_J, axiom, ![X56, X40]:(c_Rings_Odvd__class_Odvd(tc_Int_Oint,X40,X56)<=>c_Rings_Odvd__class_Odvd(tc_Int_Oint,X40,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X56))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_uminus__dvd__conv_I2_J)).
% 247.18/174.24  fof(fact_mod__div__trivial, axiom, ![X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Odiv(X5,c_Divides_Odiv__class_Omod(X5,X17,X25),X25)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__div__trivial)).
% 247.18/174.24  fof(fact_div__mult__self1__is__id, axiom, ![X17, X25, X5]:(class_Divides_Osemiring__div(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X17),X25)=X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult__self1__is__id)).
% 247.18/174.24  fof(fact_div__mult__self2__is__id, axiom, ![X17, X25, X5]:(class_Divides_Osemiring__div(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>c_Divides_Odiv__class_Odiv(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X25)=X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__mult__self2__is__id)).
% 247.18/174.24  fof(fact_zero__le__square, axiom, ![X17, X5]:(class_Rings_Olinordered__ring(X5)=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X17))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__le__square)).
% 247.18/174.24  fof(fact_zle__antisym, axiom, ![X57, X41]:(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X41,X57)=>(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X57,X41)=>X41=X57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zle__antisym)).
% 247.18/174.24  fof(fact_dvd_Oantisym, axiom, ![X33, X15]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X15)=>X15=X33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Oantisym)).
% 247.18/174.24  fof(fact_dvd__antisym, axiom, ![X12, X18]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X18,X12)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X12,X18)=>X18=X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__antisym)).
% 247.18/174.24  fof(fact_dvd_Oantisym__conv, axiom, ![X7, X20]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X20,X7)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X7,X20)<=>X7=X20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Oantisym__conv)).
% 247.18/174.24  fof(fact_dvd_Oeq__iff, axiom, ![X20, X7]:(X7=X20<=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X7,X20)&c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X20,X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Oeq__iff)).
% 247.18/174.24  fof(fact_add__diff__cancel, axiom, ![X25, X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Ominus__class_Ominus(X5,c_Groups_Oplus__class_Oplus(X5,X17,X25),X25)=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__diff__cancel)).
% 247.18/174.24  fof(fact_diff__add__cancel, axiom, ![X25, X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Ominus__class_Ominus(X5,X17,X25),X25)=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__add__cancel)).
% 247.18/174.24  fof(fact_pos__zmult__eq__1__iff, axiom, ![X13, X43]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X43)=>(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X43),X13)=c_Groups_Oone__class_Oone(tc_Int_Oint)<=>(X43=c_Groups_Oone__class_Oone(tc_Int_Oint)&X13=c_Groups_Oone__class_Oone(tc_Int_Oint)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pos__zmult__eq__1__iff)).
% 247.18/174.24  fof(fact_nat__add__right__cancel, axiom, ![X13, X47, X43]:(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X47)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X13,X47)<=>X43=X13), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__add__right__cancel)).
% 247.18/174.24  fof(fact_nat__add__left__cancel, axiom, ![X13, X43, X47]:(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X47,X43)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X47,X13)<=>X43=X13), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__add__left__cancel)).
% 247.18/174.24  fof(fact_mod__mult__self1__is__0, axiom, ![X17, X25, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X17),X25)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__self1__is__0)).
% 247.18/174.24  fof(fact_mod__mult__self2__is__0, axiom, ![X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25),X25)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__mult__self2__is__0)).
% 247.18/174.24  fof(fact_minus__divide__divide, axiom, ![X25, X17, X5]:(class_Fields_Ofield__inverse__zero(X5)=>c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Groups_Ouminus__class_Ouminus(X5,X25))=c_Rings_Oinverse__class_Odivide(X5,X17,X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__divide__divide)).
% 247.18/174.24  fof(fact_degree__pCons__0, axiom, ![X17, X5]:(class_Groups_Ozero(X5)=>c_Polynomial_Odegree(X5,c_Polynomial_OpCons(X5,X17,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__pCons__0)).
% 247.18/174.24  fof(fact_poly__mod__minus__right, axiom, ![X33, X15, X5]:(class_Fields_Ofield(X5)=>c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X33))=c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5),X15,X33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__mod__minus__right)).
% 247.18/174.24  fof(fact_zmod__zminus1__not__zero, axiom, ![X69, X42]:(c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X42),X69)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>c_Divides_Odiv__class_Omod(tc_Int_Oint,X42,X69)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__zminus1__not__zero)).
% 247.18/174.24  fof(fact_zmod__zminus2__not__zero, axiom, ![X69, X42]:(c_Divides_Odiv__class_Omod(tc_Int_Oint,X42,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X69))!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>c_Divides_Odiv__class_Omod(tc_Int_Oint,X42,X69)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__zminus2__not__zero)).
% 247.18/174.24  fof(fact_dvd__triv__left, axiom, ![X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Rings_Odvd__class_Odvd(X5,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__triv__left)).
% 247.18/174.24  fof(fact_dvd__triv__right, axiom, ![X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Rings_Odvd__class_Odvd(X5,X17,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X17))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__triv__right)).
% 247.18/174.24  fof(fact_zmod__eq__0__iff, axiom, ![X40, X43]:(c_Divides_Odiv__class_Omod(tc_Int_Oint,X43,X40)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)<=>?[X65]:X43=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X40),X65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__eq__0__iff)).
% 247.18/174.24  fof(fact_mod__eq__0__iff, axiom, ![X40, X43]:(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X43,X40)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<=>?[X65]:X43=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X40),X65)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__eq__0__iff)).
% 247.18/174.24  fof(fact_zmod__zdiv__trivial, axiom, ![X25, X17]:c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X25),X25)=c_Groups_Ozero__class_Ozero(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__zdiv__trivial)).
% 247.18/174.24  fof(fact_diff__add__0, axiom, ![X18, X12]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X12,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,X18))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__add__0)).
% 247.18/174.24  fof(fact_diff__add__inverse, axiom, ![X18, X12]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,X18),X12)=X18, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__add__inverse)).
% 247.18/174.24  fof(fact_diff__add__inverse2, axiom, ![X12, X18]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X12),X12)=X18, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__add__inverse2)).
% 247.18/174.24  fof(fact_divide__eq__eq, axiom, ![X14, X27, X19, X5]:(class_Fields_Ofield__inverse__zero(X5)=>(c_Rings_Oinverse__class_Odivide(X5,X19,X27)=X14<=>((X27!=c_Groups_Ozero__class_Ozero(X5)=>X19=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27))&(X27=c_Groups_Ozero__class_Ozero(X5)=>X14=c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__eq__eq)).
% 247.18/174.24  fof(fact_eq__divide__eq, axiom, ![X27, X19, X14, X5]:(class_Fields_Ofield__inverse__zero(X5)=>(X14=c_Rings_Oinverse__class_Odivide(X5,X19,X27)<=>((X27!=c_Groups_Ozero__class_Ozero(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27)=X19)&(X27=c_Groups_Ozero__class_Ozero(X5)=>X14=c_Groups_Ozero__class_Ozero(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_eq__divide__eq)).
% 247.18/174.24  fof(fact_dvd__eq__mod__eq__0, axiom, ![X19, X14, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X14,X19)<=>c_Divides_Odiv__class_Omod(X5,X19,X14)=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__eq__mod__eq__0)).
% 247.18/174.24  fof(fact_poly__gcd__minus__left, axiom, ![X33, X15, X5]:(class_Fields_Ofield(X5)=>c_Polynomial_Opoly__gcd(X5,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X15),X33)=c_Polynomial_Opoly__gcd(X5,X15,X33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd__minus__left)).
% 247.18/174.24  fof(fact_poly__gcd__minus__right, axiom, ![X33, X15, X5]:(class_Fields_Ofield(X5)=>c_Polynomial_Opoly__gcd(X5,X15,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X33))=c_Polynomial_Opoly__gcd(X5,X15,X33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd__minus__right)).
% 247.18/174.24  fof(fact_nonzero__eq__divide__eq, axiom, ![X19, X14, X27, X5]:(class_Rings_Odivision__ring(X5)=>(X27!=c_Groups_Ozero__class_Ozero(X5)=>(X14=c_Rings_Oinverse__class_Odivide(X5,X19,X27)<=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27)=X19))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nonzero__eq__divide__eq)).
% 247.18/174.24  fof(fact_nonzero__divide__eq__eq, axiom, ![X14, X19, X27, X5]:(class_Rings_Odivision__ring(X5)=>(X27!=c_Groups_Ozero__class_Ozero(X5)=>(c_Rings_Oinverse__class_Odivide(X5,X19,X27)=X14<=>X19=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nonzero__divide__eq__eq)).
% 247.18/174.24  fof(fact_dvd__imp__mod__0, axiom, ![X25, X17, X5]:(class_Divides_Osemiring__div(X5)=>(c_Rings_Odvd__class_Odvd(X5,X17,X25)=>c_Divides_Odiv__class_Omod(X5,X25,X17)=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__imp__mod__0)).
% 247.18/174.24  fof(fact_divide__eq__imp, axiom, ![X17, X25, X26, X5]:(class_Rings_Odivision__ring(X5)=>(X26!=c_Groups_Ozero__class_Ozero(X5)=>(X25=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26)=>c_Rings_Oinverse__class_Odivide(X5,X25,X26)=X17))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__eq__imp)).
% 247.18/174.24  fof(fact_eq__divide__imp, axiom, ![X25, X17, X26, X5]:(class_Rings_Odivision__ring(X5)=>(X26!=c_Groups_Ozero__class_Ozero(X5)=>(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X26)=X25=>X17=c_Rings_Oinverse__class_Odivide(X5,X25,X26)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_eq__divide__imp)).
% 247.18/174.24  fof(fact_zdiv__zminus__zminus, axiom, ![X25, X17]:c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X17),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X25))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X25), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiv__zminus__zminus)).
% 247.18/174.24  fof(fact_zdiv__zminus2, axiom, ![X25, X17]:c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X25))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X17),X25), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiv__zminus2)).
% 247.18/174.24  fof(fact_mult__cancel2, axiom, ![X13, X47, X43]:(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X43),X47)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X13),X47)<=>(X43=X13|X47=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__cancel2)).
% 247.18/174.24  fof(fact_nat__mult__eq__cancel__disj, axiom, ![X13, X43, X47]:(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X43)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X13)<=>(X47=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X43=X13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__mult__eq__cancel__disj)).
% 247.18/174.24  fof(fact_mult__cancel1, axiom, ![X13, X43, X47]:(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X43)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X47),X13)<=>(X43=X13|X47=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__cancel1)).
% 247.18/174.24  fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J, axiom, ![X15, X5]:(class_Rings_Ocomm__ring__1(X5)=>c_Groups_Ouminus__class_Ouminus(X5,X15)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Oone__class_Oone(X5))),X15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J)).
% 247.18/174.24  fof(fact_degree__smult__eq, axiom, ![X16, X17, X5]:(class_Rings_Oidom(X5)=>((X17=c_Groups_Ozero__class_Ozero(X5)=>c_Polynomial_Odegree(X5,c_Polynomial_Osmult(X5,X17,X16))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Polynomial_Odegree(X5,c_Polynomial_Osmult(X5,X17,X16))=c_Polynomial_Odegree(X5,X16)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__smult__eq)).
% 247.18/174.24  fof(fact_dvdI, axiom, ![X42, X25, X17, X5]:(class_Rings_Odvd(X5)=>(X17=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X42)=>c_Rings_Odvd__class_Odvd(X5,X25,X17))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvdI)).
% 247.18/174.24  fof(fact_diff__minus__eq__add, axiom, ![X25, X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Ominus__class_Ominus(X5,X17,c_Groups_Ouminus__class_Ouminus(X5,X25))=c_Groups_Oplus__class_Oplus(X5,X17,X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__minus__eq__add)).
% 247.18/174.24  fof(fact_diff__def, axiom, ![X25, X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Ominus__class_Ominus(X5,X17,X25)=c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Ouminus__class_Ouminus(X5,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__def)).
% 247.18/174.24  fof(fact_ab__diff__minus, axiom, ![X25, X17, X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Ominus__class_Ominus(X5,X17,X25)=c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Ouminus__class_Ouminus(X5,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_ab__diff__minus)).
% 247.18/174.24  fof(fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J, axiom, ![X33, X15, X5]:(class_Rings_Ocomm__ring__1(X5)=>c_Groups_Ominus__class_Ominus(X5,X15,X33)=c_Groups_Oplus__class_Oplus(X5,X15,c_Groups_Ouminus__class_Ouminus(X5,X33))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J)).
% 247.18/174.24  fof(fact_degree__offset__poly, axiom, ![X8, X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Odegree(X5,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,X16,X8))=c_Polynomial_Odegree(X5,X16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__offset__poly)).
% 247.18/174.24  fof(fact__096_B_Bthesis_O_A_I_B_Br_O_Aq_A_094_Adegree_Ap_A_061_Ap_A_K_Ar_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096, axiom, ~(![X29]:hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),X29)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact__096_B_Bthesis_O_A_I_B_Br_O_Aq_A_094_Adegree_Ap_A_061_Ap_A_K_Ar_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096)).
% 247.18/174.24  fof(fact_divide__inverse, axiom, ![X25, X17, X5]:(class_Rings_Odivision__ring(X5)=>c_Rings_Oinverse__class_Odivide(X5,X17,X25)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Rings_Oinverse__class_Oinverse(X5,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__inverse)).
% 247.18/174.24  fof(fact_field__divide__inverse, axiom, ![X25, X17, X5]:(class_Fields_Ofield(X5)=>c_Rings_Oinverse__class_Odivide(X5,X17,X25)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Rings_Oinverse__class_Oinverse(X5,X25))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_field__divide__inverse)).
% 247.18/174.24  fof(fact_zless__le, axiom, ![X38, X11]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,X11,X38)<=>(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X11,X38)&X11!=X38)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zless__le)).
% 247.18/174.24  fof(fact_div__less, axiom, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X18,X12)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__less)).
% 247.18/174.24  fof(fact_mod__less, axiom, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12)=X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__less)).
% 247.18/174.24  fof(fact_monom__0, axiom, ![X17, X5]:(class_Groups_Ozero(X5)=>c_Polynomial_Omonom(X5,X17,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Polynomial_OpCons(X5,X17,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_monom__0)).
% 247.18/174.24  fof(fact_sgn__neg, axiom, ![X17, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Orderings_Oord__class_Oless(X5,X17,c_Groups_Ozero__class_Ozero(X5))=>c_Groups_Osgn__class_Osgn(X5,X17)=c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Oone__class_Oone(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__neg)).
% 247.18/174.24  fof(fact_sgn__1__neg, axiom, ![X14, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Groups_Osgn__class_Osgn(X5,X14)=c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Oone__class_Oone(X5))<=>c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__1__neg)).
% 247.18/174.24  fof(fact_degree__monom__eq, axiom, ![X12, X17, X5]:(class_Groups_Ozero(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Polynomial_Odegree(X5,c_Polynomial_Omonom(X5,X17,X12))=X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__monom__eq)).
% 247.18/174.24  fof(fact_mult__poly__0__left, axiom, ![X24, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X24)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__poly__0__left)).
% 247.18/174.24  fof(fact_leading__coeff__0__iff, axiom, ![X10, X5]:(class_Groups_Ozero(X5)=>(hAPP(c_Polynomial_Ocoeff(X5,X10),c_Polynomial_Odegree(X5,X10))=c_Groups_Ozero__class_Ozero(X5)<=>X10=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_leading__coeff__0__iff)).
% 247.18/174.24  fof(fact_leading__coeff__neq__0, axiom, ![X16, X5]:(class_Groups_Ozero(X5)=>(X16!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>hAPP(c_Polynomial_Ocoeff(X5,X16),c_Polynomial_Odegree(X5,X16))!=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_leading__coeff__neq__0)).
% 247.18/174.24  fof(fact_diff__int__def__symmetric, axiom, ![X57, X41]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X41,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X57))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X41,X57), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__int__def__symmetric)).
% 247.18/174.24  fof(fact_diff__int__def, axiom, ![X57, X41]:c_Groups_Ominus__class_Ominus(tc_Int_Oint,X41,X57)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X41,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X57)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__int__def)).
% 247.18/174.24  fof(fact_ext, axiom, ![X1, X2]:(![X3]:hAPP(X2,X3)=hAPP(X1,X3)=>X2=X1), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_ext)).
% 247.18/174.24  fof(fact_smult__eq__0__iff, axiom, ![X10, X14, X5]:(class_Rings_Oidom(X5)=>(c_Polynomial_Osmult(X5,X14,X10)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))<=>(X14=c_Groups_Ozero__class_Ozero(X5)|X10=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__eq__0__iff)).
% 247.18/174.24  fof(fact_synthetic__div__eq__0__iff, axiom, ![X27, X10, X5]:(class_Rings_Ocomm__semiring__0(X5)=>(c_Polynomial_Osynthetic__div(X5,X10,X27)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))<=>c_Polynomial_Odegree(X5,X10)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_synthetic__div__eq__0__iff)).
% 247.18/174.24  fof(fact_power__eq__0__iff, axiom, ![X13, X14, X5]:((((class_Power_Opower(X5)&class_Rings_Omult__zero(X5))&class_Rings_Ono__zero__divisors(X5))&class_Rings_Ozero__neq__one(X5))=>(hAPP(hAPP(c_Power_Opower__class_Opower(X5),X14),X13)=c_Groups_Ozero__class_Ozero(X5)<=>(X14=c_Groups_Ozero__class_Ozero(X5)&X13!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__eq__0__iff)).
% 247.18/174.24  fof(fact_square__eq__1__iff, axiom, ![X7, X5]:(class_Rings_Oring__1__no__zero__divisors(X5)=>(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X7),X7)=c_Groups_Oone__class_Oone(X5)<=>(X7=c_Groups_Oone__class_Oone(X5)|X7=c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Oone__class_Oone(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_square__eq__1__iff)).
% 247.18/174.24  fof(fact_sgn__pos, axiom, ![X17, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>c_Groups_Osgn__class_Osgn(X5,X17)=c_Groups_Oone__class_Oone(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__pos)).
% 247.18/174.24  fof(fact_sgn__1__pos, axiom, ![X14, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Groups_Osgn__class_Osgn(X5,X14)=c_Groups_Oone__class_Oone(X5)<=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__1__pos)).
% 247.18/174.24  fof(fact_left__inverse, axiom, ![X17, X5]:(class_Rings_Odivision__ring(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Rings_Oinverse__class_Oinverse(X5,X17)),X17)=c_Groups_Oone__class_Oone(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_left__inverse)).
% 247.18/174.24  fof(fact_field__inverse, axiom, ![X17, X5]:(class_Fields_Ofield(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Rings_Oinverse__class_Oinverse(X5,X17)),X17)=c_Groups_Oone__class_Oone(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_field__inverse)).
% 247.18/174.24  fof(fact_poly__gcd__zero__iff, axiom, ![X20, X7, X5]:(class_Fields_Ofield(X5)=>(c_Polynomial_Opoly__gcd(X5,X7,X20)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))<=>(X7=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))&X20=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd__zero__iff)).
% 247.18/174.24  fof(fact_pCons__eq__0__iff, axiom, ![X10, X14, X5]:(class_Groups_Ozero(X5)=>(c_Polynomial_OpCons(X5,X14,X10)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))<=>(X14=c_Groups_Ozero__class_Ozero(X5)&X10=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pCons__eq__0__iff)).
% 247.18/174.24  fof(fact_offset__poly__eq__0__iff, axiom, ![X9, X10, X5]:(class_Rings_Ocomm__semiring__0(X5)=>(c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,X10,X9)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))<=>X10=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_offset__poly__eq__0__iff)).
% 247.18/174.24  fof(fact_constant__def, axiom, ![X2, X4, X5]:(c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X5,X4,X2)<=>![X3, X6]:hAPP(X2,X3)=hAPP(X2,X6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_constant__def)).
% 247.18/174.24  fof(fact_poly__gcd_Ocommute, axiom, ![X25, X17, X5]:(class_Fields_Ofield(X5)=>c_Polynomial_Opoly__gcd(X5,X17,X25)=c_Polynomial_Opoly__gcd(X5,X25,X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd_Ocommute)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J, axiom, ![X26, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oplus__class_Oplus(X5,X17,X26)=c_Groups_Oplus__class_Oplus(X5,X26,X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J)).
% 247.18/174.24  fof(fact_minus__unique, axiom, ![X25, X17, X5]:(class_Groups_Ogroup__add(X5)=>(c_Groups_Oplus__class_Oplus(X5,X17,X25)=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Ouminus__class_Ouminus(X5,X17)=X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__unique)).
% 247.18/174.24  fof(fact_eq__neg__iff__add__eq__0, axiom, ![X19, X14, X5]:(class_Groups_Ogroup__add(X5)=>(X14=c_Groups_Ouminus__class_Ouminus(X5,X19)<=>c_Groups_Oplus__class_Oplus(X5,X14,X19)=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_eq__neg__iff__add__eq__0)).
% 247.18/174.24  fof(fact_add__eq__0__iff, axiom, ![X20, X7, X5]:(class_Groups_Ogroup__add(X5)=>(c_Groups_Oplus__class_Oplus(X5,X7,X20)=c_Groups_Ozero__class_Ozero(X5)<=>X20=c_Groups_Ouminus__class_Ouminus(X5,X7))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__eq__0__iff)).
% 247.18/174.24  fof(fact_monom__eq__0__iff, axiom, ![X13, X14, X5]:(class_Groups_Ozero(X5)=>(c_Polynomial_Omonom(X5,X14,X13)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))<=>X14=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_monom__eq__0__iff)).
% 247.18/174.24  fof(fact_mult__poly__0__right, axiom, ![X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5)),X16),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__poly__0__right)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J, axiom, ![X25, X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X25),X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J)).
% 247.18/174.24  fof(fact_inverse__unique, axiom, ![X25, X17, X5]:(class_Rings_Odivision__ring(X5)=>(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25)=c_Groups_Oone__class_Oone(X5)=>c_Rings_Oinverse__class_Oinverse(X5,X17)=X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__unique)).
% 247.18/174.24  fof(fact_zless__linear, axiom, ![X33, X15]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,X15,X33)|X15=X33|c_Orderings_Oord__class_Oless(tc_Int_Oint,X33,X15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zless__linear)).
% 247.18/174.24  fof(fact_nat__neq__iff, axiom, ![X13, X43]:(X43!=X13<=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X13,X43))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__neq__iff)).
% 247.18/174.24  fof(fact_poly__gcd__0__0, axiom, ![X5]:(class_Fields_Ofield(X5)=>c_Polynomial_Opoly__gcd(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd__0__0)).
% 247.18/174.24  fof(fact_dvd__0__left, axiom, ![X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>(c_Rings_Odvd__class_Odvd(X5,c_Groups_Ozero__class_Ozero(X5),X17)=>X17=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__0__left)).
% 247.18/174.24  fof(fact_right__inverse__eq, axiom, ![X14, X19, X5]:(class_Rings_Odivision__ring(X5)=>(X19!=c_Groups_Ozero__class_Ozero(X5)=>(c_Rings_Oinverse__class_Odivide(X5,X14,X19)=c_Groups_Oone__class_Oone(X5)<=>X14=X19))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_right__inverse__eq)).
% 247.18/174.24  fof(fact_zle__linear, axiom, ![X57, X41]:(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X41,X57)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X57,X41)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zle__linear)).
% 247.18/174.24  fof(fact_mult__eq__0__iff, axiom, ![X19, X14, X5]:(class_Rings_Oring__no__zero__divisors(X5)=>(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X19)=c_Groups_Ozero__class_Ozero(X5)<=>(X14=c_Groups_Ozero__class_Ozero(X5)|X19=c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__eq__0__iff)).
% 247.18/174.24  fof(fact_no__zero__divisors, axiom, ![X25, X17, X5]:(class_Rings_Ono__zero__divisors(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25)!=c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_no__zero__divisors)).
% 247.18/174.24  fof(fact_divisors__zero, axiom, ![X25, X17, X5]:(class_Rings_Ono__zero__divisors(X5)=>(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X25)=c_Groups_Ozero__class_Ozero(X5)=>(X17=c_Groups_Ozero__class_Ozero(X5)|X25=c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divisors__zero)).
% 247.18/174.24  fof(fact_diff__poly__code_I1_J, axiom, ![X24, X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X24)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__poly__code_I1_J)).
% 247.18/174.24  fof(fact_eq, axiom, (![X3]:(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)=>hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X3)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex))<=>v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_eq)).
% 247.18/174.24  fof(fact_zadd__commute, axiom, ![X57, X41]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X41,X57)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X57,X41), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zadd__commute)).
% 247.18/174.24  fof(fact_nat__add__commute, axiom, ![X12, X18]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X12)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__add__commute)).
% 247.18/174.24  fof(fact_double__eq__0__iff, axiom, ![X14, X5]:(class_Groups_Olinordered__ab__group__add(X5)=>(c_Groups_Oplus__class_Oplus(X5,X14,X14)=c_Groups_Ozero__class_Ozero(X5)<=>X14=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_double__eq__0__iff)).
% 247.18/174.24  fof(fact_double__zero__sym, axiom, ![X14, X5]:(class_Groups_Olinordered__ab__group__add(X5)=>(c_Groups_Ozero__class_Ozero(X5)=c_Groups_Oplus__class_Oplus(X5,X14,X14)<=>X14=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_double__zero__sym)).
% 247.18/174.24  fof(fact_right__minus__eq, axiom, ![X19, X14, X5]:(class_Groups_Ogroup__add(X5)=>(c_Groups_Ominus__class_Ominus(X5,X14,X19)=c_Groups_Ozero__class_Ozero(X5)<=>X14=X19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_right__minus__eq)).
% 247.18/174.24  fof(fact_eq__iff__diff__eq__0, axiom, ![X19, X14, X5]:(class_Groups_Oab__group__add(X5)=>(X14=X19<=>c_Groups_Ominus__class_Ominus(X5,X14,X19)=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_eq__iff__diff__eq__0)).
% 247.18/174.24  fof(fact_field__power__not__zero, axiom, ![X12, X17, X5]:(class_Rings_Oring__1__no__zero__divisors(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),X12)!=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_field__power__not__zero)).
% 247.18/174.24  fof(fact_add__0__iff, axiom, ![X14, X19, X5]:(class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5)=>(X19=c_Groups_Oplus__class_Oplus(X5,X19,X14)<=>X14=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__0__iff)).
% 247.18/174.24  fof(fact_poly__zero, axiom, ![X10, X5]:((class_Int_Oring__char__0(X5)&class_Rings_Oidom(X5))=>(c_Polynomial_Opoly(X5,X10)=c_Polynomial_Opoly(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))<=>X10=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__zero)).
% 247.18/174.24  fof(fact_pCons__0__0, axiom, ![X5]:(class_Groups_Ozero(X5)=>c_Polynomial_OpCons(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pCons__0__0)).
% 247.18/174.24  fof(fact_one__poly__def, axiom, ![X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5))=c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_one__poly__def)).
% 247.18/174.24  fof(fact_right__inverse, axiom, ![X17, X5]:(class_Rings_Odivision__ring(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Rings_Oinverse__class_Oinverse(X5,X17))=c_Groups_Oone__class_Oone(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_right__inverse)).
% 247.18/174.24  fof(fact_neq0__conv, axiom, ![X13]:(X13!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neq0__conv)).
% 247.18/174.24  fof(fact_coeff__1, axiom, ![X12, X5]:(class_Rings_Ocomm__semiring__1(X5)=>((X12=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>hAPP(c_Polynomial_Ocoeff(X5,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5))),X12)=c_Groups_Oone__class_Oone(X5))&(X12!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>hAPP(c_Polynomial_Ocoeff(X5,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5))),X12)=c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__1)).
% 247.18/174.24  fof(fact_nonzero__inverse__minus__eq, axiom, ![X17, X5]:(class_Rings_Odivision__ring(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,c_Groups_Ouminus__class_Ouminus(X5,X17))=c_Groups_Ouminus__class_Ouminus(X5,c_Rings_Oinverse__class_Oinverse(X5,X17)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nonzero__inverse__minus__eq)).
% 247.18/174.24  fof(fact_nat__dvd__1__iff__1, axiom, ![X43]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X43,c_Groups_Oone__class_Oone(tc_Nat_Onat))<=>X43=c_Groups_Oone__class_Oone(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__dvd__1__iff__1)).
% 247.18/174.24  fof(fact_zmult__commute, axiom, ![X57, X41]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X41),X57)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X57),X41), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmult__commute)).
% 247.18/174.24  fof(fact_nat__mult__commute, axiom, ![X12, X18]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X12)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X12),X18), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__mult__commute)).
% 247.18/174.24  fof(fact_left__minus, axiom, ![X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),X17)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_left__minus)).
% 247.18/174.24  fof(fact_ab__left__minus, axiom, ![X17, X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),X17)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_ab__left__minus)).
% 247.18/174.24  fof(fact_right__minus, axiom, ![X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Ouminus__class_Ouminus(X5,X17))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_right__minus)).
% 247.18/174.24  fof(fact_add__is__0, axiom, ![X13, X43]:(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X43,X13)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<=>(X43=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)&X13=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__is__0)).
% 247.18/174.24  fof(fact_poly__gcd__1__left, axiom, ![X33, X5]:(class_Fields_Ofield(X5)=>c_Polynomial_Opoly__gcd(X5,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5)),X33)=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd__1__left)).
% 247.18/174.24  fof(fact_synthetic__div__0, axiom, ![X26, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Osynthetic__div(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X26)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_synthetic__div__0)).
% 247.18/174.24  fof(fact_pcompose__0, axiom, ![X24, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Opcompose(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X24)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pcompose__0)).
% 247.18/174.24  fof(fact_offset__poly__0, axiom, ![X8, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X8)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_offset__poly__0)).
% 247.18/174.24  fof(fact_poly__gcd__1__right, axiom, ![X15, X5]:(class_Fields_Ofield(X5)=>c_Polynomial_Opoly__gcd(X5,X15,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5)))=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__gcd__1__right)).
% 247.18/174.24  fof(fact_smult__0__right, axiom, ![X17, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Osmult(X5,X17,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__0__right)).
% 247.18/174.24  fof(fact_gr__implies__not0, axiom, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>X12!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_gr__implies__not0)).
% 247.18/174.24  fof(fact_power__0__left, axiom, ![X12, X5]:((class_Power_Opower(X5)&class_Rings_Osemiring__0(X5))=>((X12=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Groups_Ozero__class_Ozero(X5)),X12)=c_Groups_Oone__class_Oone(X5))&(X12!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Groups_Ozero__class_Ozero(X5)),X12)=c_Groups_Ozero__class_Ozero(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__0__left)).
% 247.18/174.24  fof(fact_add__eq__self__zero, axiom, ![X12, X18]:(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,X12)=X18=>X12=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__eq__self__zero)).
% 247.18/174.24  fof(fact_coeff__0, axiom, ![X12, X5]:(class_Groups_Ozero(X5)=>hAPP(c_Polynomial_Ocoeff(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X12)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__0)).
% 247.18/174.24  fof(fact_poly__1, axiom, ![X15, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(c_Polynomial_Opoly(X5,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5))),X15)=c_Groups_Oone__class_Oone(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__1)).
% 247.18/174.24  fof(fact_poly__0, axiom, ![X15, X5]:(class_Rings_Ocomm__semiring__0(X5)=>hAPP(c_Polynomial_Opoly(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))),X15)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__0)).
% 247.18/174.24  fof(fact_less__not__refl3, axiom, ![X70, X71]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X71,X70)=>X71!=X70), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__not__refl3)).
% 247.18/174.24  fof(fact_less__not__refl2, axiom, ![X18, X12]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,X18)=>X18!=X12), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_less__not__refl2)).
% 247.18/174.24  fof(fact_nonzero__inverse__eq__divide, axiom, ![X17, X5]:(class_Rings_Odivision__ring(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,X17)=c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oone__class_Oone(X5),X17))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nonzero__inverse__eq__divide)).
% 247.18/174.24  fof(fact_sgn__minus, axiom, ![X15, X5]:(class_RealVector_Oreal__normed__vector(X5)=>c_Groups_Osgn__class_Osgn(X5,c_Groups_Ouminus__class_Ouminus(X5,X15))=c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Osgn__class_Osgn(X5,X15))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__minus)).
% 247.18/174.24  fof(fact_inverse__minus__eq, axiom, ![X17, X5]:(class_Rings_Odivision__ring__inverse__zero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,c_Groups_Ouminus__class_Ouminus(X5,X17))=c_Groups_Ouminus__class_Ouminus(X5,c_Rings_Oinverse__class_Oinverse(X5,X17))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__minus__eq)).
% 247.18/174.24  fof(fact_add__poly__code_I1_J, axiom, ![X24, X5]:(class_Groups_Ocomm__monoid__add(X5)=>c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X24)=X24), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__poly__code_I1_J)).
% 247.18/174.24  fof(fact_diff__poly__code_I2_J, axiom, ![X16, X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5),X16,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))=X16), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__poly__code_I2_J)).
% 247.18/174.24  fof(fact_add__poly__code_I2_J, axiom, ![X16, X5]:(class_Groups_Ocomm__monoid__add(X5)=>c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5),X16,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))=X16), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__poly__code_I2_J)).
% 247.18/174.24  fof(fact_pos__poly__total, axiom, ![X16, X5]:(class_Rings_Olinordered__idom(X5)=>(X16=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))|c_Polynomial_Opos__poly(X5,X16)|c_Polynomial_Opos__poly(X5,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X16)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pos__poly__total)).
% 247.18/174.24  fof(fact_mult__is__0, axiom, ![X13, X43]:(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X43),X13)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<=>(X43=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X13=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__is__0)).
% 247.18/174.24  fof(fact_mult__eq__self__implies__10, axiom, ![X12, X18]:(X18=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),X12)=>(X12=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X18=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__eq__self__implies__10)).
% 247.18/174.24  fof(fact_diff__0, axiom, ![X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Ominus__class_Ominus(X5,c_Groups_Ozero__class_Ozero(X5),X17)=c_Groups_Ouminus__class_Ouminus(X5,X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__0)).
% 247.18/174.24  fof(fact_inverse__eq__divide, axiom, ![X17, X5]:(class_Rings_Odivision__ring(X5)=>c_Rings_Oinverse__class_Oinverse(X5,X17)=c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oone__class_Oone(X5),X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__eq__divide)).
% 247.18/174.24  fof(fact_field__class_Onormalizing__field__rules_I2_J, axiom, ![X17, X5]:(class_Fields_Ofield(X5)=>c_Rings_Oinverse__class_Oinverse(X5,X17)=c_Rings_Oinverse__class_Odivide(X5,c_Groups_Oone__class_Oone(X5),X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_field__class_Onormalizing__field__rules_I2_J)).
% 247.18/174.24  fof(fact_nat__mult__eq__1__iff, axiom, ![X13, X43]:(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X43),X13)=c_Groups_Oone__class_Oone(tc_Nat_Onat)<=>(X43=c_Groups_Oone__class_Oone(tc_Nat_Onat)&X13=c_Groups_Oone__class_Oone(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__mult__eq__1__iff)).
% 247.18/174.24  fof(fact_nat__1__eq__mult__iff, axiom, ![X13, X43]:(c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X43),X13)<=>(X43=c_Groups_Oone__class_Oone(tc_Nat_Onat)&X13=c_Groups_Oone__class_Oone(tc_Nat_Onat))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__1__eq__mult__iff)).
% 247.18/174.24  fof(fact_zadd__zminus__inverse2, axiom, ![X41]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X41),X41)=c_Groups_Ozero__class_Ozero(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zadd__zminus__inverse2)).
% 247.18/174.24  fof(fact_smult__0__left, axiom, ![X16, X5]:(class_Rings_Ocomm__semiring__0(X5)=>c_Polynomial_Osmult(X5,c_Groups_Ozero__class_Ozero(X5),X16)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__0__left)).
% 247.18/174.24  fof(fact_monom__eq__0, axiom, ![X12, X5]:(class_Groups_Ozero(X5)=>c_Polynomial_Omonom(X5,c_Groups_Ozero__class_Ozero(X5),X12)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_monom__eq__0)).
% 247.18/174.24  fof(fact_power__power__power, axiom, ![X5]:(class_Power_Opower(X5)=>c_Power_Opower__class_Opower(X5)=c_Power_Opower_Opower(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Otimes__class_Otimes(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__power__power)).
% 247.18/174.24  fof(fact_mult__left_Ozero, axiom, ![X33, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ozero__class_Ozero(X5)),X33)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__left_Ozero)).
% 247.18/174.24  fof(fact_mult_Ozero__left, axiom, ![X25, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ozero__class_Ozero(X5)),X25)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult_Ozero__left)).
% 247.18/174.24  fof(fact_mult__zero__left, axiom, ![X17, X5]:(class_Rings_Omult__zero(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ozero__class_Ozero(X5)),X17)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__zero__left)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J, axiom, ![X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Ozero__class_Ozero(X5)),X17)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J)).
% 247.18/174.24  fof(fact_power__one, axiom, ![X12, X5]:(class_Groups_Omonoid__mult(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),c_Groups_Oone__class_Oone(X5)),X12)=c_Groups_Oone__class_Oone(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__one)).
% 247.18/174.24  fof(fact_divide__self__if, axiom, ![X17, X5]:(class_Rings_Odivision__ring__inverse__zero(X5)=>((X17=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Odivide(X5,X17,X17)=c_Groups_Ozero__class_Ozero(X5))&(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Odivide(X5,X17,X17)=c_Groups_Oone__class_Oone(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__self__if)).
% 247.18/174.24  fof(fact_zero__le__one, axiom, ![X5]:(class_Rings_Olinordered__semidom(X5)=>c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Oone__class_Oone(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__le__one)).
% 247.18/174.24  fof(fact_zero__less__one, axiom, ![X5]:(class_Rings_Olinordered__semidom(X5)=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),c_Groups_Oone__class_Oone(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__less__one)).
% 247.18/174.24  fof(fact_degree__minus, axiom, ![X16, X5]:(class_Groups_Oab__group__add(X5)=>c_Polynomial_Odegree(X5,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),X16))=c_Polynomial_Odegree(X5,X16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__minus)).
% 247.18/174.24  fof(fact_mult__1, axiom, ![X17, X5]:(class_Groups_Ocomm__monoid__mult(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oone__class_Oone(X5)),X17)=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__1)).
% 247.18/174.24  fof(fact_mult__1__left, axiom, ![X17, X5]:(class_Groups_Omonoid__mult(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oone__class_Oone(X5)),X17)=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__1__left)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J, axiom, ![X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),c_Groups_Oone__class_Oone(X5)),X17)=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J)).
% 247.18/174.24  fof(fact_div__0, axiom, ![X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Odiv(X5,c_Groups_Ozero__class_Ozero(X5),X17)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__0)).
% 247.18/174.24  fof(fact_mod__0, axiom, ![X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,c_Groups_Ozero__class_Ozero(X5),X17)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__0)).
% 247.18/174.24  fof(fact_divide_Ozero, axiom, ![X33, X5]:(class_RealVector_Oreal__normed__field(X5)=>c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ozero__class_Ozero(X5),X33)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide_Ozero)).
% 247.18/174.24  fof(fact_divide__zero__left, axiom, ![X17, X5]:(class_Rings_Odivision__ring(X5)=>c_Rings_Oinverse__class_Odivide(X5,c_Groups_Ozero__class_Ozero(X5),X17)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__zero__left)).
% 247.18/174.24  fof(fact_div__by__0, axiom, ![X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Odiv(X5,X17,c_Groups_Ozero__class_Ozero(X5))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__by__0)).
% 247.18/174.24  fof(fact_mod__by__1, axiom, ![X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,X17,c_Groups_Oone__class_Oone(X5))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__by__1)).
% 247.18/174.24  fof(fact_divide__zero, axiom, ![X17, X5]:(class_Rings_Odivision__ring__inverse__zero(X5)=>c_Rings_Oinverse__class_Odivide(X5,X17,c_Groups_Ozero__class_Ozero(X5))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__zero)).
% 247.18/174.24  fof(fact_div__self, axiom, ![X17, X5]:(class_Divides_Osemiring__div(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Divides_Odiv__class_Odiv(X5,X17,X17)=c_Groups_Oone__class_Oone(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__self)).
% 247.18/174.24  fof(fact_divide__self, axiom, ![X17, X5]:(class_Rings_Odivision__ring(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Odivide(X5,X17,X17)=c_Groups_Oone__class_Oone(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__self)).
% 247.18/174.24  fof(fact_mult__right_Ozero, axiom, ![X15, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),c_Groups_Ozero__class_Ozero(X5))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__right_Ozero)).
% 247.18/174.24  fof(fact_mult_Ozero__right, axiom, ![X17, X5]:(class_RealVector_Oreal__normed__algebra(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Ozero__class_Ozero(X5))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult_Ozero__right)).
% 247.18/174.24  fof(fact_mult__zero__right, axiom, ![X17, X5]:(class_Rings_Omult__zero(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Ozero__class_Ozero(X5))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__zero__right)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J, axiom, ![X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Ozero__class_Ozero(X5))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J)).
% 247.18/174.24  fof(fact_add__0__left, axiom, ![X17, X5]:(class_Groups_Omonoid__add(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Ozero__class_Ozero(X5),X17)=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__0__left)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J, axiom, ![X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Ozero__class_Ozero(X5),X17)=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J)).
% 247.18/174.24  fof(fact_add__0, axiom, ![X17, X5]:(class_Groups_Ocomm__monoid__add(X5)=>c_Groups_Oplus__class_Oplus(X5,c_Groups_Ozero__class_Ozero(X5),X17)=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__0)).
% 247.18/174.24  fof(fact_smult__1__left, axiom, ![X16, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Polynomial_Osmult(X5,c_Groups_Oone__class_Oone(X5),X16)=X16), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_smult__1__left)).
% 247.18/174.24  fof(fact_div__by__1, axiom, ![X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Odiv(X5,X17,c_Groups_Oone__class_Oone(X5))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_div__by__1)).
% 247.18/174.24  fof(fact_mod__by__0, axiom, ![X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,X17,c_Groups_Ozero__class_Ozero(X5))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__by__0)).
% 247.18/174.24  fof(fact_divide__1, axiom, ![X17, X5]:(class_Rings_Odivision__ring(X5)=>c_Rings_Oinverse__class_Odivide(X5,X17,c_Groups_Oone__class_Oone(X5))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_divide__1)).
% 247.18/174.24  fof(fact_diff__0__right, axiom, ![X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Ominus__class_Ominus(X5,X17,c_Groups_Ozero__class_Ozero(X5))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__0__right)).
% 247.18/174.24  fof(fact_add__0__right, axiom, ![X17, X5]:(class_Groups_Omonoid__add(X5)=>c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Ozero__class_Ozero(X5))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add__0__right)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J, axiom, ![X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Ozero__class_Ozero(X5))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J)).
% 247.18/174.24  fof(fact_add_Ocomm__neutral, axiom, ![X17, X5]:(class_Groups_Ocomm__monoid__add(X5)=>c_Groups_Oplus__class_Oplus(X5,X17,c_Groups_Ozero__class_Ozero(X5))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_add_Ocomm__neutral)).
% 247.18/174.24  fof(fact_one__dvd, axiom, ![X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Rings_Odvd__class_Odvd(X5,c_Groups_Oone__class_Oone(X5),X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_one__dvd)).
% 247.18/174.24  fof(fact_dvd__0__right, axiom, ![X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Rings_Odvd__class_Odvd(X5,X17,c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__0__right)).
% 247.18/174.24  fof(fact_power__0, axiom, ![X17, X5]:(class_Power_Opower(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__0)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J, axiom, ![X15, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J)).
% 247.18/174.24  fof(fact_mult_Ocomm__neutral, axiom, ![X17, X5]:(class_Groups_Ocomm__monoid__mult(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Oone__class_Oone(X5))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult_Ocomm__neutral)).
% 247.18/174.24  fof(fact_mult__1__right, axiom, ![X17, X5]:(class_Groups_Omonoid__mult(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Oone__class_Oone(X5))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__1__right)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J, axiom, ![X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),c_Groups_Oone__class_Oone(X5))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J)).
% 247.18/174.24  fof(fact_mod__self, axiom, ![X17, X5]:(class_Divides_Osemiring__div(X5)=>c_Divides_Odiv__class_Omod(X5,X17,X17)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mod__self)).
% 247.18/174.24  fof(fact_diff__self, axiom, ![X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Ominus__class_Ominus(X5,X17,X17)=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__self)).
% 247.18/174.24  fof(fact_nonzero__inverse__eq__imp__eq, axiom, ![X25, X17, X5]:(class_Rings_Odivision__ring(X5)=>(c_Rings_Oinverse__class_Oinverse(X5,X17)=c_Rings_Oinverse__class_Oinverse(X5,X25)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>(X25!=c_Groups_Ozero__class_Ozero(X5)=>X17=X25)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nonzero__inverse__eq__imp__eq)).
% 247.18/174.24  fof(fact_power__one__right, axiom, ![X17, X5]:(class_Groups_Omonoid__mult(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),X17),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_power__one__right)).
% 247.18/174.24  fof(fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J, axiom, ![X15, X5]:(class_Rings_Ocomm__semiring__1(X5)=>hAPP(hAPP(c_Power_Opower__class_Opower(X5),X15),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X15), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J)).
% 247.18/174.24  fof(fact_dvd__refl, axiom, ![X17, X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Rings_Odvd__class_Odvd(X5,X17,X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd__refl)).
% 247.18/174.24  fof(fact_One__nat__def, axiom, c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_One__nat__def)).
% 247.18/174.24  fof(fact_sgn__sgn, axiom, ![X17, X5]:(class_Rings_Olinordered__idom(X5)=>c_Groups_Osgn__class_Osgn(X5,c_Groups_Osgn__class_Osgn(X5,X17))=c_Groups_Osgn__class_Osgn(X5,X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__sgn)).
% 247.18/174.24  fof(fact_poly__eq__iff, axiom, ![X21, X10, X5]:((class_Int_Oring__char__0(X5)&class_Rings_Oidom(X5))=>(c_Polynomial_Opoly(X5,X10)=c_Polynomial_Opoly(X5,X21)<=>X10=X21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_poly__eq__iff)).
% 247.18/174.24  fof(fact_gr0I, axiom, ![X12]:(X12!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_gr0I)).
% 247.18/174.24  fof(fact_zdiv__self, axiom, ![X17]:(X17!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)=>c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,X17)=c_Groups_Oone__class_Oone(tc_Int_Oint)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiv__self)).
% 247.18/174.24  fof(fact_zdiv__zero, axiom, ![X25]:c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X25)=c_Groups_Ozero__class_Ozero(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zdiv__zero)).
% 247.18/174.24  fof(fact_zmod__zero, axiom, ![X25]:c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X25)=c_Groups_Ozero__class_Ozero(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__zero)).
% 247.18/174.24  fof(fact_diff__0__eq__0, axiom, ![X12]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__0__eq__0)).
% 247.18/174.24  fof(fact_DIVISION__BY__ZERO, axiom, ![X17]:(c_Divides_Odiv__class_Odiv(tc_Int_Oint,X17,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)&c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_DIVISION__BY__ZERO)).
% 247.18/174.24  fof(fact_zadd__0, axiom, ![X41]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X41)=X41, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zadd__0)).
% 247.18/174.24  fof(fact_plus__nat_Oadd__0, axiom, ![X12]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X12)=X12, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_plus__nat_Oadd__0)).
% 247.18/174.24  fof(fact_minus__nat_Odiff__0, axiom, ![X18]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X18, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__nat_Odiff__0)).
% 247.18/174.24  fof(fact_zadd__0__right, axiom, ![X41]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X41,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X41, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zadd__0__right)).
% 247.18/174.24  fof(fact_Nat_Oadd__0__right, axiom, ![X18]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X18,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X18, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_Nat_Oadd__0__right)).
% 247.18/174.24  fof(fact_dvd_Oeq__refl, axiom, ![X33, X15]:(X15=X33=>c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Oeq__refl)).
% 247.18/174.24  fof(fact_gcd__lcm__complete__lattice__nat_Obot__least, axiom, ![X15]:c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X15), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_gcd__lcm__complete__lattice__nat_Obot__least)).
% 247.18/174.24  fof(fact_gcd__lcm__complete__lattice__nat_Otop__greatest, axiom, ![X15]:c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_gcd__lcm__complete__lattice__nat_Otop__greatest)).
% 247.18/174.24  fof(fact_minus__poly__code_I1_J, axiom, ![X5]:(class_Groups_Oab__group__add(X5)=>c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__poly__code_I1_J)).
% 247.18/174.24  fof(fact_zmod__self, axiom, ![X17]:c_Divides_Odiv__class_Omod(tc_Int_Oint,X17,X17)=c_Groups_Ozero__class_Ozero(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmod__self)).
% 247.18/174.24  fof(fact_diff__self__eq__0, axiom, ![X18]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X18)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_diff__self__eq__0)).
% 247.18/174.24  fof(fact_mult__0, axiom, ![X12]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X12)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__0)).
% 247.18/174.24  fof(fact_inverse__eq__imp__eq, axiom, ![X25, X17, X5]:(class_Rings_Odivision__ring__inverse__zero(X5)=>(c_Rings_Oinverse__class_Oinverse(X5,X17)=c_Rings_Oinverse__class_Oinverse(X5,X25)=>X17=X25)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__eq__imp__eq)).
% 247.18/174.24  fof(fact_inverse__eq__iff__eq, axiom, ![X19, X14, X5]:(class_Rings_Odivision__ring__inverse__zero(X5)=>(c_Rings_Oinverse__class_Oinverse(X5,X14)=c_Rings_Oinverse__class_Oinverse(X5,X19)<=>X14=X19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__eq__iff__eq)).
% 247.18/174.24  fof(fact_neg__equal__iff__equal, axiom, ![X19, X14, X5]:(class_Groups_Ogroup__add(X5)=>(c_Groups_Ouminus__class_Ouminus(X5,X14)=c_Groups_Ouminus__class_Ouminus(X5,X19)<=>X14=X19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__equal__iff__equal)).
% 247.18/174.24  fof(fact_coeff__inject, axiom, ![X20, X7, X5]:(class_Groups_Ozero(X5)=>(c_Polynomial_Ocoeff(X5,X7)=c_Polynomial_Ocoeff(X5,X20)<=>X7=X20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_coeff__inject)).
% 247.18/174.24  fof(fact_nonzero__inverse__inverse__eq, axiom, ![X17, X5]:(class_Rings_Odivision__ring(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,c_Rings_Oinverse__class_Oinverse(X5,X17))=X17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nonzero__inverse__inverse__eq)).
% 247.18/174.24  fof(fact_zmult__1, axiom, ![X41]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X41)=X41, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmult__1)).
% 247.18/174.24  fof(fact_nat__mult__1, axiom, ![X12]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X12)=X12, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__mult__1)).
% 247.18/174.24  fof(fact_zle__refl, axiom, ![X57]:c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X57,X57), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zle__refl)).
% 247.18/174.24  fof(fact_dvd_Oorder__refl, axiom, ![X15]:c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X15), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_dvd_Oorder__refl)).
% 247.18/174.24  fof(fact_mult__0__right, axiom, ![X18]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X18),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_mult__0__right)).
% 247.18/174.24  fof(fact_zmult__1__right, axiom, ![X41]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X41),c_Groups_Oone__class_Oone(tc_Int_Oint))=X41, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zmult__1__right)).
% 247.18/174.24  fof(fact_nat__mult__1__right, axiom, ![X12]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X12),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X12, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__mult__1__right)).
% 247.18/174.24  fof(fact_inverse__inverse__eq, axiom, ![X17, X5]:(class_Rings_Odivision__ring__inverse__zero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,c_Rings_Oinverse__class_Oinverse(X5,X17))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__inverse__eq)).
% 247.18/174.24  fof(fact_minus__minus, axiom, ![X17, X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Ouminus__class_Ouminus(X5,X17))=X17), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__minus)).
% 247.18/174.24  fof(fact_minus__equation__iff, axiom, ![X19, X14, X5]:(class_Groups_Ogroup__add(X5)=>(c_Groups_Ouminus__class_Ouminus(X5,X14)=X19<=>c_Groups_Ouminus__class_Ouminus(X5,X19)=X14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__equation__iff)).
% 247.18/174.24  fof(fact_equation__minus__iff, axiom, ![X19, X14, X5]:(class_Groups_Ogroup__add(X5)=>(X14=c_Groups_Ouminus__class_Ouminus(X5,X19)<=>X19=c_Groups_Ouminus__class_Ouminus(X5,X14))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_equation__minus__iff)).
% 247.18/174.24  fof(fact_psize__eq__0__iff, axiom, ![X10, X5]:(class_Groups_Ozero(X5)=>(c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X5,X10)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)<=>X10=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_psize__eq__0__iff)).
% 247.18/174.24  fof(fact_degree__1, axiom, ![X5]:(class_Rings_Ocomm__semiring__1(X5)=>c_Polynomial_Odegree(X5,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__1)).
% 247.18/174.24  fof(fact_degree__0, axiom, ![X5]:(class_Groups_Ozero(X5)=>c_Polynomial_Odegree(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_degree__0)).
% 247.18/174.24  fof(fact_neg__0__equal__iff__equal, axiom, ![X14, X5]:(class_Groups_Ogroup__add(X5)=>(c_Groups_Ozero__class_Ozero(X5)=c_Groups_Ouminus__class_Ouminus(X5,X14)<=>c_Groups_Ozero__class_Ozero(X5)=X14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__0__equal__iff__equal)).
% 247.18/174.24  fof(fact_inverse__eq__1__iff, axiom, ![X7, X5]:(class_Fields_Ofield__inverse__zero(X5)=>(c_Rings_Oinverse__class_Oinverse(X5,X7)=c_Groups_Oone__class_Oone(X5)<=>X7=c_Groups_Oone__class_Oone(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__eq__1__iff)).
% 247.18/174.24  fof(fact_sgn__zero__iff, axiom, ![X7, X5]:(class_RealVector_Oreal__normed__vector(X5)=>(c_Groups_Osgn__class_Osgn(X5,X7)=c_Groups_Ozero__class_Ozero(X5)<=>X7=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__zero__iff)).
% 247.18/174.24  fof(fact_sgn__0__0, axiom, ![X14, X5]:(class_Rings_Olinordered__idom(X5)=>(c_Groups_Osgn__class_Osgn(X5,X14)=c_Groups_Ozero__class_Ozero(X5)<=>X14=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__0__0)).
% 247.18/174.24  fof(fact_inverse__zero__imp__zero, axiom, ![X17, X5]:(class_Rings_Odivision__ring(X5)=>(c_Rings_Oinverse__class_Oinverse(X5,X17)=c_Groups_Ozero__class_Ozero(X5)=>X17=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__zero__imp__zero)).
% 247.18/174.24  fof(fact_nonzero__imp__inverse__nonzero, axiom, ![X17, X5]:(class_Rings_Odivision__ring(X5)=>(X17!=c_Groups_Ozero__class_Ozero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,X17)!=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nonzero__imp__inverse__nonzero)).
% 247.18/174.24  fof(fact_inverse__nonzero__iff__nonzero, axiom, ![X14, X5]:(class_Rings_Odivision__ring__inverse__zero(X5)=>(c_Rings_Oinverse__class_Oinverse(X5,X14)=c_Groups_Ozero__class_Ozero(X5)<=>X14=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__nonzero__iff__nonzero)).
% 247.18/174.24  fof(fact_neg__equal__0__iff__equal, axiom, ![X14, X5]:(class_Groups_Ogroup__add(X5)=>(c_Groups_Ouminus__class_Ouminus(X5,X14)=c_Groups_Ozero__class_Ozero(X5)<=>X14=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__equal__0__iff__equal)).
% 247.18/174.24  fof(fact_zminus__zminus, axiom, ![X41]:c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X41))=X41, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zminus__zminus)).
% 247.18/174.24  fof(fact_neg__equal__zero, axiom, ![X14, X5]:(class_Groups_Olinordered__ab__group__add(X5)=>(c_Groups_Ouminus__class_Ouminus(X5,X14)=X14<=>X14=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_neg__equal__zero)).
% 247.18/174.24  fof(fact_equal__neg__zero, axiom, ![X14, X5]:(class_Groups_Olinordered__ab__group__add(X5)=>(X14=c_Groups_Ouminus__class_Ouminus(X5,X14)<=>X14=c_Groups_Ozero__class_Ozero(X5))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_equal__neg__zero)).
% 247.18/174.24  fof(help_c__fequal__2, axiom, ![X20, X7]:(X7!=X20|hBOOL(c_fequal(X7,X20))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__fequal__2)).
% 247.18/174.24  fof(fact_sgn__one, axiom, ![X5]:(class_RealVector_Oreal__normed__algebra__1(X5)=>c_Groups_Osgn__class_Osgn(X5,c_Groups_Oone__class_Oone(X5))=c_Groups_Oone__class_Oone(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__one)).
% 247.18/174.24  fof(fact_sgn0, axiom, ![X5]:(class_Groups_Osgn__if(X5)=>c_Groups_Osgn__class_Osgn(X5,c_Groups_Ozero__class_Ozero(X5))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn0)).
% 247.18/174.24  fof(fact_sgn__zero, axiom, ![X5]:(class_RealVector_Oreal__normed__vector(X5)=>c_Groups_Osgn__class_Osgn(X5,c_Groups_Ozero__class_Ozero(X5))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_sgn__zero)).
% 247.18/174.24  fof(fact_inverse__1, axiom, ![X5]:(class_Rings_Odivision__ring(X5)=>c_Rings_Oinverse__class_Oinverse(X5,c_Groups_Oone__class_Oone(X5))=c_Groups_Oone__class_Oone(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__1)).
% 247.18/174.24  fof(fact_field__inverse__zero, axiom, ![X5]:(class_Fields_Ofield__inverse__zero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,c_Groups_Ozero__class_Ozero(X5))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_field__inverse__zero)).
% 247.18/174.24  fof(fact_inverse__zero, axiom, ![X5]:(class_Rings_Odivision__ring__inverse__zero(X5)=>c_Rings_Oinverse__class_Oinverse(X5,c_Groups_Ozero__class_Ozero(X5))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_inverse__zero)).
% 247.18/174.24  fof(fact_minus__zero, axiom, ![X5]:(class_Groups_Ogroup__add(X5)=>c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Ozero__class_Ozero(X5))=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_minus__zero)).
% 247.18/174.24  fof(fact_one__neq__zero, axiom, ![X5]:(class_Rings_Ozero__neq__one(X5)=>c_Groups_Oone__class_Oone(X5)!=c_Groups_Ozero__class_Ozero(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_one__neq__zero)).
% 247.18/174.24  fof(fact_zero__neq__one, axiom, ![X5]:(class_Rings_Ozero__neq__one(X5)=>c_Groups_Ozero__class_Ozero(X5)!=c_Groups_Oone__class_Oone(X5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zero__neq__one)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add, axiom, ![X89]:(class_Groups_Ocancel__comm__monoid__add(X89)=>class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Olinordered__semiring)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Oordered__comm__semiring, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Oordered__comm__semiring)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Oordered__semiring, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Oordered__semiring)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Osgn__if, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Groups_Osgn__if(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Osgn__if)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Divides_Oring__div, axiom, ![X89]:(class_Fields_Ofield(X89)=>class_Divides_Oring__div(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Divides_Oring__div)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Divides_Osemiring__div, axiom, ![X89]:(class_Fields_Ofield(X89)=>class_Divides_Osemiring__div(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Divides_Osemiring__div)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Oordered__ring, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Rings_Oordered__ring(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Oordered__ring)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Olinordered__ring, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Olinordered__ring)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Olinordered__semidom, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Olinordered__semidom)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Olinordered__idom, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Olinordered__idom)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Oordered__ab__group__add, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Oordered__ab__group__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Oring__1, axiom, ![X89]:(class_Rings_Ocomm__ring__1(X89)=>class_Rings_Oring__1(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Oring__1)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Oring, axiom, ![X89]:(class_Rings_Ocomm__ring(X89)=>class_Rings_Oring(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Oring)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Ogroup__add, axiom, ![X89]:(class_Groups_Oab__group__add(X89)=>class_Groups_Ogroup__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Ogroup__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Ocomm__ring, axiom, ![X89]:(class_Rings_Ocomm__ring(X89)=>class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Ocomm__ring)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Oab__group__add, axiom, ![X89]:(class_Groups_Oab__group__add(X89)=>class_Groups_Oab__group__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Oab__group__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Oone, axiom, ![X89]:(class_Rings_Ocomm__semiring__1(X89)=>class_Groups_Oone(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Oone)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Ocomm__ring__1, axiom, ![X89]:(class_Rings_Ocomm__ring__1(X89)=>class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Ocomm__ring__1)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult, axiom, ![X89]:(class_Rings_Ocomm__semiring__1(X89)=>class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors, axiom, ![X89]:(class_Rings_Oidom(X89)=>class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring, axiom, ![X89]:(class_Rings_Ocomm__semiring__0(X89)=>class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Ocomm__semiring)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Osemiring, axiom, ![X89]:(class_Rings_Ocomm__semiring__0(X89)=>class_Rings_Osemiring(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Osemiring)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors, axiom, ![X89]:(class_Rings_Oidom(X89)=>class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Omonoid__mult, axiom, ![X89]:(class_Rings_Ocomm__semiring__1(X89)=>class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Omonoid__mult)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, axiom, ![X89]:(class_Rings_Oidom(X89)=>class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Olinordered__ring__strict, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Olinordered__ring__strict)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Ozero__neq__one, axiom, ![X89]:(class_Rings_Ocomm__semiring__1(X89)=>class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Ozero__neq__one)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Ono__zero__divisors, axiom, ![X89]:(class_Rings_Oidom(X89)=>class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Ono__zero__divisors)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Omult__zero, axiom, ![X89]:(class_Rings_Ocomm__semiring__0(X89)=>class_Rings_Omult__zero(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Omult__zero)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Power_Opower, axiom, ![X89]:(class_Rings_Ocomm__semiring__1(X89)=>class_Power_Opower(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Power_Opower)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Osemiring__0, axiom, ![X89]:(class_Rings_Ocomm__semiring__0(X89)=>class_Rings_Osemiring__0(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Osemiring__0)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Odvd, axiom, ![X89]:(class_Rings_Ocomm__semiring__1(X89)=>class_Rings_Odvd(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Odvd)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Omonoid__add, axiom, ![X89]:(class_Groups_Ocomm__monoid__add(X89)=>class_Groups_Omonoid__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Omonoid__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__1, axiom, ![X89]:(class_Rings_Ocomm__semiring__1(X89)=>class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Ocomm__semiring__1)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__add, axiom, ![X89]:(class_Groups_Ocomm__monoid__add(X89)=>class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Oab__semigroup__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Oab__semigroup__mult, axiom, ![X89]:(class_Rings_Ocomm__semiring__0(X89)=>class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Oab__semigroup__mult)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Ocomm__monoid__add, axiom, ![X89]:(class_Groups_Ocomm__monoid__add(X89)=>class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Ocomm__monoid__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add, axiom, ![X89]:(class_Groups_Ocancel__comm__monoid__add(X89)=>class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add, axiom, ![X89]:(class_Groups_Ocancel__comm__monoid__add(X89)=>class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Int_Oring__char__0, axiom, ![X89]:(class_Rings_Olinordered__idom(X89)=>class_Int_Oring__char__0(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Int_Oring__char__0)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Oidom, axiom, ![X89]:(class_Rings_Oidom(X89)=>class_Rings_Oidom(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Oidom)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Rings_Ocomm__semiring__0, axiom, ![X89]:(class_Rings_Ocomm__semiring__0(X89)=>class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Rings_Ocomm__semiring__0)).
% 247.18/174.24  fof(arity_Polynomial__Opoly__Groups_Ozero, axiom, ![X89]:(class_Groups_Ozero(X89)=>class_Groups_Ozero(tc_Polynomial_Opoly(X89))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Polynomial__Opoly__Groups_Ozero)).
% 247.18/174.24  fof(fact_nat__size, axiom, ![X12]:c_Nat_Osize__class_Osize(tc_Nat_Onat,X12)=X12, file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat__size)).
% 247.18/174.24  fof(help_c__fFalse__1, axiom, ~(hBOOL(c_fFalse)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__fFalse__1)).
% 247.18/174.24  fof(fact__096p_Advd_Aq_A_094_Adegree_Ap_096, axiom, c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact__096p_Advd_Aq_A_094_Adegree_Ap_096)).
% 247.18/174.24  fof(fact_r, axiom, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_r)).
% 247.18/174.24  fof(fact_int__0__less__1, axiom, c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_int__0__less__1)).
% 247.18/174.24  fof(fact_nat_Osize_I3_J, axiom, c_Nat_Osize__class_Osize(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat_Osize_I3_J)).
% 247.18/174.24  fof(fact_zminus__0, axiom, c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_zminus__0)).
% 247.18/174.24  fof(fact_nat_Osize_I1_J, axiom, c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_nat_Osize_I1_J)).
% 247.18/174.24  fof(fact_int__0__neq__1, axiom, c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=c_Groups_Oone__class_Oone(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_int__0__neq__1)).
% 247.18/174.24  fof(fact_pe, axiom, v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_pe)).
% 247.18/174.24  fof(fact_bool_Osize_I2_J, axiom, c_HOL_Obool_Obool__size(c_fFalse)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_bool_Osize_I2_J)).
% 247.18/174.24  fof(fact_bool_Osize_I1_J, axiom, c_HOL_Obool_Obool__size(c_fTrue)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', fact_bool_Osize_I1_J)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Ocancel__comm__monoid__add, axiom, class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Ocancel__comm__monoid__add)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Ocancel__comm__monoid__add, axiom, class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Ocancel__comm__monoid__add)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add, axiom, class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Olinordered__semiring, axiom, class_Rings_Olinordered__semiring(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Olinordered__semiring)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Olinordered__semiring, axiom, class_Rings_Olinordered__semiring(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Olinordered__semiring)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add, axiom, class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Oordered__ab__semigroup__add)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add, axiom, class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Oordered__ab__semigroup__add)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Oordered__comm__semiring, axiom, class_Rings_Oordered__comm__semiring(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Oordered__comm__semiring)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Oordered__comm__semiring, axiom, class_Rings_Oordered__comm__semiring(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Oordered__comm__semiring)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Oordered__semiring, axiom, class_Rings_Oordered__semiring(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Oordered__semiring)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Oordered__semiring, axiom, class_Rings_Oordered__semiring(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Oordered__semiring)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Oordered__cancel__semiring, axiom, class_Rings_Oordered__cancel__semiring(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Oordered__cancel__semiring)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Oordered__cancel__semiring, axiom, class_Rings_Oordered__cancel__semiring(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Oordered__cancel__semiring)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Osgn__if, axiom, class_Groups_Osgn__if(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Osgn__if)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra, axiom, class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__vector, axiom, class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__vector)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1, axiom, class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1)).
% 247.18/174.24  fof(arity_Int__Oint__Divides_Oring__div, axiom, class_Divides_Oring__div(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Divides_Oring__div)).
% 247.18/174.24  fof(arity_Int__Oint__Divides_Osemiring__div, axiom, class_Divides_Osemiring__div(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Divides_Osemiring__div)).
% 247.18/174.24  fof(arity_Nat__Onat__Divides_Osemiring__div, axiom, class_Divides_Osemiring__div(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Divides_Osemiring__div)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__RealVector_Oreal__field, axiom, class_RealVector_Oreal__field(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__RealVector_Oreal__field)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__field, axiom, class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__field)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Fields_Ofield__inverse__zero, axiom, class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Fields_Ofield__inverse__zero)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Oordered__ring, axiom, class_Rings_Oordered__ring(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Oordered__ring)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Oordered__comm__monoid__add, axiom, class_Groups_Oordered__comm__monoid__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Oordered__comm__monoid__add)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Oordered__comm__monoid__add, axiom, class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Oordered__comm__monoid__add)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Olinordered__ring, axiom, class_Rings_Olinordered__ring(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Olinordered__ring)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Olinordered__semiring__strict, axiom, class_Rings_Olinordered__semiring__strict(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Olinordered__semiring__strict)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Olinordered__semiring__strict, axiom, class_Rings_Olinordered__semiring__strict(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Olinordered__semiring__strict)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Olinordered__comm__semiring__strict, axiom, class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Olinordered__comm__semiring__strict)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict, axiom, class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Olinordered__semidom, axiom, class_Rings_Olinordered__semidom(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Olinordered__semidom)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Olinordered__semidom, axiom, class_Rings_Olinordered__semidom(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Olinordered__semidom)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Odivision__ring, axiom, class_Rings_Odivision__ring(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Odivision__ring)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Olinordered__idom, axiom, class_Rings_Olinordered__idom(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Olinordered__idom)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero, axiom, class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Oordered__ab__group__add, axiom, class_Groups_Oordered__ab__group__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Oordered__ab__group__add)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add, axiom, class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add, axiom, class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le, axiom, class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le, axiom, class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Oring__1, axiom, class_Rings_Oring__1(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Oring__1)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Oring__1, axiom, class_Rings_Oring__1(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Oring__1)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Oring, axiom, class_Rings_Oring(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Oring)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Oring, axiom, class_Rings_Oring(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Oring)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Ogroup__add, axiom, class_Groups_Ogroup__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Ogroup__add)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Ogroup__add, axiom, class_Groups_Ogroup__add(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Ogroup__add)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Ocomm__ring, axiom, class_Rings_Ocomm__ring(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Ocomm__ring)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Ocomm__ring, axiom, class_Rings_Ocomm__ring(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Ocomm__ring)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Oab__group__add, axiom, class_Groups_Oab__group__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Oab__group__add)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Oab__group__add, axiom, class_Groups_Oab__group__add(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Oab__group__add)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Oone, axiom, class_Groups_Oone(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Oone)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Oone, axiom, class_Groups_Oone(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Oone)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Oone, axiom, class_Groups_Oone(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Oone)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Ocomm__ring__1, axiom, class_Rings_Ocomm__ring__1(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Ocomm__ring__1)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Ocomm__ring__1, axiom, class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Ocomm__ring__1)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra, axiom, class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Ocomm__monoid__mult, axiom, class_Groups_Ocomm__monoid__mult(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Ocomm__monoid__mult)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Ocomm__monoid__mult, axiom, class_Groups_Ocomm__monoid__mult(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Ocomm__monoid__mult)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult, axiom, class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Oring__1__no__zero__divisors, axiom, class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Oring__1__no__zero__divisors)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors, axiom, class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Ocomm__semiring, axiom, class_Rings_Ocomm__semiring(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Ocomm__semiring)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Ocomm__semiring, axiom, class_Rings_Ocomm__semiring(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Ocomm__semiring)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring, axiom, class_Rings_Ocomm__semiring(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Ocomm__semiring)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Osemiring, axiom, class_Rings_Osemiring(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Osemiring)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Osemiring, axiom, class_Rings_Osemiring(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Osemiring)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Osemiring, axiom, class_Rings_Osemiring(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Osemiring)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Oring__no__zero__divisors, axiom, class_Rings_Oring__no__zero__divisors(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Oring__no__zero__divisors)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors, axiom, class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Omonoid__mult, axiom, class_Groups_Omonoid__mult(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Omonoid__mult)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Omonoid__mult, axiom, class_Groups_Omonoid__mult(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Omonoid__mult)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Omonoid__mult, axiom, class_Groups_Omonoid__mult(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Omonoid__mult)).
% 247.18/174.24  fof(arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, axiom, class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct)).
% 247.18/174.24  fof(arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, axiom, class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct, axiom, class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Olinordered__ring__strict, axiom, class_Rings_Olinordered__ring__strict(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Olinordered__ring__strict)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Ozero__neq__one, axiom, class_Rings_Ozero__neq__one(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Ozero__neq__one)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Ozero__neq__one, axiom, class_Rings_Ozero__neq__one(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Ozero__neq__one)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Ozero__neq__one, axiom, class_Rings_Ozero__neq__one(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Ozero__neq__one)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Ono__zero__divisors, axiom, class_Rings_Ono__zero__divisors(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Ono__zero__divisors)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Ono__zero__divisors, axiom, class_Rings_Ono__zero__divisors(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Ono__zero__divisors)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Ono__zero__divisors, axiom, class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Ono__zero__divisors)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Omult__zero, axiom, class_Rings_Omult__zero(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Omult__zero)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Omult__zero, axiom, class_Rings_Omult__zero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Omult__zero)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Omult__zero, axiom, class_Rings_Omult__zero(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Omult__zero)).
% 247.18/174.24  fof(arity_Int__Oint__Power_Opower, axiom, class_Power_Opower(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Power_Opower)).
% 247.18/174.24  fof(arity_Nat__Onat__Power_Opower, axiom, class_Power_Opower(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Power_Opower)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Power_Opower, axiom, class_Power_Opower(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Power_Opower)).
% 247.18/174.24  fof(help_c__fTrue__1, axiom, hBOOL(c_fTrue), file('/export/starexec/sandbox/benchmark/theBenchmark.p', help_c__fTrue__1)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Osemiring__0, axiom, class_Rings_Osemiring__0(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Osemiring__0)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Osemiring__0, axiom, class_Rings_Osemiring__0(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Osemiring__0)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Osemiring__0, axiom, class_Rings_Osemiring__0(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Osemiring__0)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Odvd, axiom, class_Rings_Odvd(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Odvd)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Odvd, axiom, class_Rings_Odvd(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Odvd)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Odvd, axiom, class_Rings_Odvd(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Odvd)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Olinordered__ab__group__add, axiom, class_Groups_Olinordered__ab__group__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Olinordered__ab__group__add)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Omonoid__add, axiom, class_Groups_Omonoid__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Omonoid__add)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Omonoid__add, axiom, class_Groups_Omonoid__add(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Omonoid__add)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Omonoid__add, axiom, class_Groups_Omonoid__add(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Omonoid__add)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Ocomm__semiring__1, axiom, class_Rings_Ocomm__semiring__1(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Ocomm__semiring__1)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Ocomm__semiring__1, axiom, class_Rings_Ocomm__semiring__1(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Ocomm__semiring__1)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__1, axiom, class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Ocomm__semiring__1)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Oab__semigroup__add, axiom, class_Groups_Oab__semigroup__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Oab__semigroup__add)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Oab__semigroup__add, axiom, class_Groups_Oab__semigroup__add(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Oab__semigroup__add)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__add, axiom, class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Oab__semigroup__add)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Oab__semigroup__mult, axiom, class_Groups_Oab__semigroup__mult(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Oab__semigroup__mult)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Oab__semigroup__mult, axiom, class_Groups_Oab__semigroup__mult(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Oab__semigroup__mult)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Oab__semigroup__mult, axiom, class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Oab__semigroup__mult)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Ocomm__monoid__add, axiom, class_Groups_Ocomm__monoid__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Ocomm__monoid__add)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Ocomm__monoid__add, axiom, class_Groups_Ocomm__monoid__add(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Ocomm__monoid__add)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Ocomm__monoid__add, axiom, class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Ocomm__monoid__add)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Ocancel__ab__semigroup__add, axiom, class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Ocancel__ab__semigroup__add)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add, axiom, class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add, axiom, class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Ocancel__semigroup__add, axiom, class_Groups_Ocancel__semigroup__add(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Ocancel__semigroup__add)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Ocancel__semigroup__add, axiom, class_Groups_Ocancel__semigroup__add(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Ocancel__semigroup__add)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add, axiom, class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Fields_Ofield, axiom, class_Fields_Ofield(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Fields_Ofield)).
% 247.18/174.24  fof(arity_Int__Oint__Int_Oring__char__0, axiom, class_Int_Oring__char__0(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Int_Oring__char__0)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Int_Oring__char__0, axiom, class_Int_Oring__char__0(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Int_Oring__char__0)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Oidom, axiom, class_Rings_Oidom(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Oidom)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Oidom, axiom, class_Rings_Oidom(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Oidom)).
% 247.18/174.24  fof(arity_Int__Oint__Rings_Ocomm__semiring__0, axiom, class_Rings_Ocomm__semiring__0(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Rings_Ocomm__semiring__0)).
% 247.18/174.24  fof(arity_Nat__Onat__Rings_Ocomm__semiring__0, axiom, class_Rings_Ocomm__semiring__0(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Rings_Ocomm__semiring__0)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Rings_Ocomm__semiring__0, axiom, class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Rings_Ocomm__semiring__0)).
% 247.18/174.24  fof(arity_Int__Oint__Groups_Ozero, axiom, class_Groups_Ozero(tc_Int_Oint), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Int__Oint__Groups_Ozero)).
% 247.18/174.24  fof(arity_Nat__Onat__Groups_Ozero, axiom, class_Groups_Ozero(tc_Nat_Onat), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Nat__Onat__Groups_Ozero)).
% 247.18/174.24  fof(arity_Complex__Ocomplex__Groups_Ozero, axiom, class_Groups_Ozero(tc_Complex_Ocomplex), file('/export/starexec/sandbox/benchmark/theBenchmark.p', arity_Complex__Ocomplex__Groups_Ozero)).
% 247.18/174.24  fof(i_0_1165, plain, ![X17, X16, X5]:(class_Rings_Oidom(X5)=>(X16!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X5)),c_Polynomial_OpCons(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))),c_Nat_OSuc(c_Polynomial_Oorder(X5,X17,X16))),X16))), inference(fof_simplification,[status(thm)],[fact_order__2])).
% 247.18/174.24  fof(i_0_1166, plain, ![X17, X16, X5]:(class_Rings_Oidom(X5)=>(X16!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X5)),c_Polynomial_OpCons(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))),c_Polynomial_Oorder(X5,X17,X16)),X16)&~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X5),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X5)),c_Polynomial_OpCons(X5,c_Groups_Ouminus__class_Ouminus(X5,X17),c_Polynomial_OpCons(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))))),c_Nat_OSuc(c_Polynomial_Oorder(X5,X17,X16))),X16)))), inference(fof_simplification,[status(thm)],[fact_order])).
% 247.18/174.24  fof(i_0_1167, plain, ![X13, X43]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X43,X13)<=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X13,c_Nat_OSuc(X43))), inference(fof_simplification,[status(thm)],[fact_not__less__eq])).
% 247.18/174.24  fof(i_0_1168, plain, ![X43, X13]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X13,X43)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X13,c_Nat_OSuc(X43))<=>X13=X43)), inference(fof_simplification,[status(thm)],[fact_not__less__less__Suc__eq])).
% 247.18/174.24  fof(i_0_1169, plain, ![X18, X12]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,X18)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,c_Nat_OSuc(X18))=>X18=X12)), inference(fof_simplification,[status(thm)],[fact_less__antisym])).
% 247.18/174.24  fof(i_0_1170, plain, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,c_Nat_OSuc(X12))=>(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>X18=X12)), inference(fof_simplification,[status(thm)],[fact_less__SucE])).
% 247.18/174.24  fof(i_0_1171, plain, ![X3862, X3863, X3864]:(~class_Rings_Oidom(X3864)|(X3863=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3864))|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3864),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X3864)),c_Polynomial_OpCons(X3864,c_Groups_Ouminus__class_Ouminus(X3864,X3862),c_Polynomial_OpCons(X3864,c_Groups_Oone__class_Oone(X3864),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3864))))),c_Nat_OSuc(c_Polynomial_Oorder(X3864,X3862,X3863))),X3863))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1165])])).
% 247.18/174.24  fof(i_0_1172, plain, ![X3742]:c_Nat_OSuc(X3742)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3742,c_Groups_Oone__class_Oone(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1])).
% 247.18/174.24  fof(i_0_1173, plain, ![X3859, X3860, X3861]:((c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3861),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X3861)),c_Polynomial_OpCons(X3861,c_Groups_Ouminus__class_Ouminus(X3861,X3859),c_Polynomial_OpCons(X3861,c_Groups_Oone__class_Oone(X3861),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3861))))),c_Polynomial_Oorder(X3861,X3859,X3860)),X3860)|X3860=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3861))|~class_Rings_Oidom(X3861))&(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3861),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X3861)),c_Polynomial_OpCons(X3861,c_Groups_Ouminus__class_Ouminus(X3861,X3859),c_Polynomial_OpCons(X3861,c_Groups_Oone__class_Oone(X3861),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3861))))),c_Nat_OSuc(c_Polynomial_Oorder(X3861,X3859,X3860))),X3860)|X3860=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3861))|~class_Rings_Oidom(X3861))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1166])])])).
% 247.18/174.24  fof(i_0_1174, plain, ![X10, X5]:(class_Rings_Oidom(X5)=>(~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X5,X5,c_Polynomial_Opoly(X5,X10))=>?[X63, X64]:((X64!=c_Groups_Ozero__class_Ozero(X5)&X63!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&?[X65]:(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X5,X65),X63),c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X5,X10)&![X23]:hAPP(c_Polynomial_Opoly(X5,X10),X23)=c_Groups_Oplus__class_Oplus(X5,hAPP(c_Polynomial_Opoly(X5,X10),c_Groups_Ozero__class_Ozero(X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),hAPP(hAPP(c_Power_Opower__class_Opower(X5),X23),X63)),hAPP(c_Polynomial_Opoly(X5,c_Polynomial_OpCons(X5,X64,X65)),X23))))))), inference(fof_simplification,[status(thm)],[fact_poly__decompose])).
% 247.18/174.24  fof(i_0_1175, plain, ![X4269, X4270, X4271]:(~class_Rings_Ocomm__ring__1(X4271)|c_Groups_Ominus__class_Ominus(X4271,hAPP(hAPP(c_Power_Opower__class_Opower(X4271),X4270),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X4271),X4269),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4271),c_Groups_Ominus__class_Ominus(X4271,X4270,X4269)),c_Groups_Oplus__class_Oplus(X4271,X4270,X4269))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__two__diff])])).
% 247.18/174.24  fof(i_0_1176, plain, ![X4656, X4657, X4658]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4658)),X4657),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4658)),X4656))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4657,X4656))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4657,X4656)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4658)),X4657),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X4658)),X4656)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__mult__less__cancel1])])).
% 247.18/174.24  fof(i_0_1177, plain, ![X4038, X4039, X4040]:((hAPP(hAPP(c_Power_Opower__class_Opower(X4040),X4039),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))!=hAPP(hAPP(c_Power_Opower__class_Opower(X4040),X4038),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|(X4039=X4038|X4039=c_Groups_Ouminus__class_Ouminus(X4040,X4038))|~class_Rings_Oidom(X4040))&((X4039!=X4038|hAPP(hAPP(c_Power_Opower__class_Opower(X4040),X4039),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=hAPP(hAPP(c_Power_Opower__class_Opower(X4040),X4038),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|~class_Rings_Oidom(X4040))&(X4039!=c_Groups_Ouminus__class_Ouminus(X4040,X4038)|hAPP(hAPP(c_Power_Opower__class_Opower(X4040),X4039),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=hAPP(hAPP(c_Power_Opower__class_Opower(X4040),X4038),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|~class_Rings_Oidom(X4040)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__two__disj])])])).
% 247.18/174.24  fof(i_0_1178, plain, ![X33, X15, X5]:(class_Rings_Olinordered__ring(X5)=>~c_Orderings_Oord__class_Oless(X5,c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X15),X15),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X33),X33)),c_Groups_Ozero__class_Ozero(X5))), inference(fof_simplification,[status(thm)],[fact_not__sum__squares__lt__zero])).
% 247.18/174.24  fof(i_0_1179, plain, ![X4020, X4021, X4022, X4023, X4024]:hAPP(hAPP(c_Power_Opower_Opower(X4024,X4023,X4022),X4021),c_Nat_OSuc(X4020))=hAPP(hAPP(X4022,X4021),hAPP(hAPP(c_Power_Opower_Opower(X4024,X4023,X4022),X4021),X4020)), inference(variable_rename,[status(thm)],[fact_power_Opower_Opower__Suc])).
% 247.18/174.24  fof(i_0_1180, plain, ![X5200, X5201, X5202]:c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5202),X5201),X5200)),X5201)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X5200),X5201), inference(variable_rename,[status(thm)],[fact_mod__mult__self4])).
% 247.18/174.24  fof(i_0_1181, plain, ![X3779, X3780, X3781]:((hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X3781)),X3780)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X3781)),X3779)|X3780=X3779)&(X3780!=X3779|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X3781)),X3780)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X3781)),X3779))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__mult__cancel1])])).
% 247.18/174.24  fof(i_0_1182, plain, ![X4723, X4724]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4724)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4723)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4723),X4724)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__less__mult])])).
% 247.18/174.24  fof(i_0_1183, plain, ![X14, X27, X19, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless(X5,c_Rings_Oinverse__class_Odivide(X5,X19,X27),X14)<=>((c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27)=>c_Orderings_Oord__class_Oless(X5,X19,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27)))&(~c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27)=>((c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27),X19))&(~c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X14))))))), inference(fof_simplification,[status(thm)],[fact_divide__less__eq])).
% 247.18/174.24  fof(i_0_1184, plain, ![X27, X19, X14, X5]:(class_Fields_Olinordered__field__inverse__zero(X5)=>(c_Orderings_Oord__class_Oless(X5,X14,c_Rings_Oinverse__class_Odivide(X5,X19,X27))<=>((c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27)=>c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27),X19))&(~c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X27)=>((c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,X19,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X14),X27)))&(~c_Orderings_Oord__class_Oless(X5,X27,c_Groups_Ozero__class_Ozero(X5))=>c_Orderings_Oord__class_Oless(X5,X14,c_Groups_Ozero__class_Ozero(X5)))))))), inference(fof_simplification,[status(thm)],[fact_less__divide__eq])).
% 247.18/174.24  fof(i_0_1185, plain, ![X5425, X5426]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X5426)|(~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5425)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5425),X5426),X5425)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5425),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5426,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_int__power__div__base])])).
% 247.18/174.24  fof(i_0_1186, plain, ![X4831]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4831,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|(X4831=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X4831=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__lt__two__imp__zero__or__one])])).
% 247.18/174.24  fof(i_0_1187, plain, ![X19, X14, X31]:(hBOOL(hAPP(X31,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X14,X19)))<=>~(((c_Orderings_Oord__class_Oless(tc_Nat_Onat,X14,X19)&~hBOOL(hAPP(X31,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|?[X77]:(X14=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X19,X77)&~hBOOL(hAPP(X31,X77)))))), inference(fof_simplification,[status(thm)],[fact_nat__diff__split__asm])).
% 247.18/174.24  fof(i_0_1188, plain, ![X4725, X4726]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4726)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4725)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4726,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4726),X4725)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_n__less__n__mult__m])])).
% 247.18/174.24  fof(i_0_1189, plain, ![X4727, X4728]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4728)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X4727)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4728,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4727),X4728)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_n__less__m__mult__n])])).
% 247.18/174.24  fof(i_0_1190, plain, ![X4173, X4174, X4175]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4175),X4174),c_Nat_OSuc(X4173))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4175,X4174),X4173), inference(variable_rename,[status(thm)],[fact_Suc__diff__diff])).
% 247.18/174.24  fof(i_0_1191, plain, ![X4763, X4764, X4765]:(~class_Rings_Olinordered__semidom(X4765)|(~c_Orderings_Oord__class_Oless(X4765,c_Groups_Ozero__class_Ozero(X4765),X4764)|(~c_Orderings_Oord__class_Oless(X4765,X4764,c_Groups_Oone__class_Oone(X4765))|c_Orderings_Oord__class_Oless(X4765,hAPP(hAPP(c_Power_Opower__class_Opower(X4765),X4764),c_Nat_OSuc(X4763)),c_Groups_Oone__class_Oone(X4765))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc__less__one])])).
% 247.18/174.24  fof(i_0_1192, plain, ![X5243, X5244]:c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X5244),X5243)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5244,X5243)),X5243), inference(variable_rename,[status(thm)],[fact_mod__Suc__eq__Suc__mod])).
% 247.18/174.24  fof(i_0_1193, plain, ![X4720, X4721, X4722]:(~class_Rings_Olinordered__semidom(X4722)|(~c_Orderings_Oord__class_Oless(X4722,c_Groups_Oone__class_Oone(X4722),X4721)|c_Orderings_Oord__class_Oless(X4722,c_Groups_Oone__class_Oone(X4722),hAPP(hAPP(c_Power_Opower__class_Opower(X4722),X4721),c_Nat_OSuc(X4720))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__gt1])])).
% 247.18/174.24  fof(i_0_1194, plain, ![X5206, X5207]:((c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5207,X5206))!=X5206|c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X5207),X5206)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5207,X5206))=X5206|c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X5207),X5206)=c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5207,X5206)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__Suc])])).
% 247.18/174.24  fof(i_0_1195, plain, ![X4394, X4395]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4395),c_Nat_OSuc(X4394))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4395,X4394))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4395,X4394)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4395),c_Nat_OSuc(X4394)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__less__eq])])).
% 247.18/174.24  fof(i_0_1196, plain, ![X4377, X4378]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4378),c_Nat_OSuc(X4377))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4378,X4377)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__less__SucD])])).
% 247.18/174.24  fof(i_0_1197, plain, ![X4731]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4731)|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4731,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=X4731), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__pred])])).
% 247.18/174.24  fof(i_0_1198, plain, ![X4729, X4730]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4730)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4730,c_Nat_OSuc(X4729)),X4730)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__Suc__less])])).
% 247.18/174.24  fof(i_0_1199, plain, ![X4275, X4276]:((X4276!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4276,X4275)=X4275)&(X4276=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4276,X4275)=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4276,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4275)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__if])])).
% 247.18/174.24  fof(i_0_1200, plain, ![X5295, X5296]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X5296)|c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5296),X5295)),X5296)=c_Groups_Oone__class_Oone(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__times__mod__eq])])).
% 247.18/174.24  fof(i_0_1201, plain, ![X3798, X3799, X3800]:(~class_Rings_Ocomm__semiring__1(X3800)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3800),hAPP(hAPP(c_Power_Opower__class_Opower(X3800),X3799),X3798)),X3799)=hAPP(hAPP(c_Power_Opower__class_Opower(X3800),X3799),c_Nat_OSuc(X3798))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I28_J])])).
% 247.18/174.24  fof(i_0_1202, plain, ![X3804, X3805, X3806]:(~class_Groups_Omonoid__mult(X3806)|hAPP(hAPP(c_Power_Opower__class_Opower(X3806),X3805),c_Nat_OSuc(X3804))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3806),hAPP(hAPP(c_Power_Opower__class_Opower(X3806),X3805),X3804)),X3805)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc2])])).
% 247.18/174.24  fof(i_0_1203, plain, ![X3838, X3839, X3840, X3841]:(~class_Groups_Ozero(X3841)|hAPP(c_Polynomial_Ocoeff(X3841,c_Polynomial_OpCons(X3841,X3840,X3839)),c_Nat_OSuc(X3838))=hAPP(c_Polynomial_Ocoeff(X3841,X3839),X3838)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__pCons__Suc])])).
% 247.18/174.24  fof(i_0_1204, plain, ![X3833, X3834]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X3834)),X3833)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3833,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3834),X3833)), inference(variable_rename,[status(thm)],[fact_mult__Suc])).
% 247.18/174.24  fof(i_0_1205, plain, ![X4622, X4623]:c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4623,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4623,X4622))), inference(variable_rename,[status(thm)],[fact_less__add__Suc1])).
% 247.18/174.24  fof(i_0_1206, plain, ![X4624, X4625]:c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4625,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4624,X4625))), inference(variable_rename,[status(thm)],[fact_less__add__Suc2])).
% 247.18/174.24  fof(i_0_1207, plain, ![X41, X33, X15]:((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)&~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X15))=>((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X41)&~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X41,X33))=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X41)&~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X41,X15)))), inference(fof_simplification,[status(thm)],[fact_dvd_Oless__trans])).
% 247.18/174.24  fof(i_0_1208, plain, ![X4325, X4326]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4326,X4325)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4326),c_Nat_OSuc(X4325))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__mono])])).
% 247.18/174.24  fof(i_0_1209, plain, ![X4605, X4606, X4608, X4609, X4610]:(((X4606=c_Nat_OSuc(esk15_2(X4605,X4606))|X4606=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4606,c_Nat_OSuc(X4605)))&(c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk15_2(X4605,X4606),X4605)|X4606=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4606,c_Nat_OSuc(X4605))))&((X4609!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4609,c_Nat_OSuc(X4608)))&(X4609!=c_Nat_OSuc(X4610)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4610,X4608)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4609,c_Nat_OSuc(X4608))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__Suc__eq__0__disj])])])])])])).
% 247.18/174.24  fof(i_0_1210, plain, ![X4398, X4399]:((c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4399,X4398)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4398,c_Nat_OSuc(X4399)))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4398,c_Nat_OSuc(X4399))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4399,X4398))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1167])])).
% 247.18/174.24  fof(i_0_1211, plain, ![X3847, X3848, X3849]:(~class_Groups_Ozero(X3849)|c_Polynomial_Omonom(X3849,X3848,c_Nat_OSuc(X3847))=c_Polynomial_OpCons(X3849,c_Groups_Ozero__class_Ozero(X3849),c_Polynomial_Omonom(X3849,X3848,X3847))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_monom__Suc])])).
% 247.18/174.24  fof(i_0_1212, plain, ![X3759]:hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X3759)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[fact_power__Suc__0])).
% 247.18/174.24  fof(i_0_1213, plain, ![X4383, X4384, X4385]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4385,X4384)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4384,X4383)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4385),X4383))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__trans__Suc])])).
% 247.18/174.24  fof(i_0_1214, plain, ![X3762]:((~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3762,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|X3762=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&(X3762!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3762,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__1__iff__1])])).
% 247.18/174.24  fof(i_0_1215, plain, ![X4171, X4172]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4172),c_Nat_OSuc(X4171))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4172,X4171), inference(variable_rename,[status(thm)],[fact_diff__Suc__Suc])).
% 247.18/174.24  fof(i_0_1216, plain, ![X3773, X3774]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X3774),X3773)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3774,c_Nat_OSuc(X3773)), inference(variable_rename,[status(thm)],[fact_add__Suc__shift])).
% 247.18/174.24  fof(i_0_1217, plain, ![X4255, X4256]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4256,c_Nat_OSuc(X4255))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4256,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X4255), inference(variable_rename,[status(thm)],[fact_diff__Suc__eq__diff__pred])).
% 247.18/174.24  fof(i_0_1218, plain, ![X3810, X3811, X3812]:(~class_Power_Opower(X3812)|hAPP(hAPP(c_Power_Opower__class_Opower(X3812),X3811),c_Nat_OSuc(X3810))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3812),X3811),hAPP(hAPP(c_Power_Opower__class_Opower(X3812),X3811),X3810))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc])])).
% 247.18/174.24  fof(i_0_1219, plain, ![X3807, X3808, X3809]:(~class_Rings_Ocomm__semiring__1(X3809)|hAPP(hAPP(c_Power_Opower__class_Opower(X3809),X3808),c_Nat_OSuc(X3807))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3809),X3808),hAPP(hAPP(c_Power_Opower__class_Opower(X3809),X3808),X3807))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I35_J])])).
% 247.18/174.24  fof(i_0_1220, plain, ![X3801, X3802, X3803]:(~class_Rings_Ocomm__semiring__1(X3803)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3803),X3802),hAPP(hAPP(c_Power_Opower__class_Opower(X3803),X3802),X3801))=hAPP(hAPP(c_Power_Opower__class_Opower(X3803),X3802),c_Nat_OSuc(X3801))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I27_J])])).
% 247.18/174.24  fof(i_0_1221, plain, ![X3771, X3772]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X3772),X3771)=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3772,X3771)), inference(variable_rename,[status(thm)],[fact_add__Suc])).
% 247.18/174.24  fof(i_0_1222, plain, ![X3769, X3770]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3770,c_Nat_OSuc(X3769))=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3770,X3769)), inference(variable_rename,[status(thm)],[fact_add__Suc__right])).
% 247.18/174.24  fof(i_0_1223, plain, ![X4287]:c_Nat_Osize__class_Osize(tc_Nat_Onat,c_Nat_OSuc(X4287))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_Nat_Onat,X4287),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(variable_rename,[status(thm)],[fact_nat_Osize_I4_J])).
% 247.18/174.24  fof(i_0_1224, plain, ![X4396, X4397]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4397,c_Nat_OSuc(X4396))|(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4397,X4396)|X4397=X4396))&((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4397,X4396)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4397,c_Nat_OSuc(X4396)))&(X4397!=X4396|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4397,c_Nat_OSuc(X4396))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__Suc__eq])])])).
% 247.18/174.24  fof(i_0_1225, plain, ![X4392, X4393]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4393,c_Nat_OSuc(X4392))|X4393=X4392|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4393,X4392))&(X4393!=X4392|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4393,c_Nat_OSuc(X4392))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4393,X4392))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1168])])])).
% 247.18/174.24  fof(i_0_1226, plain, ![X4390, X4391]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4391,X4390)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4391,c_Nat_OSuc(X4390))|X4390=X4391)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1169])])).
% 247.18/174.24  fof(i_0_1227, plain, ![X4381, X4382]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4382,c_Nat_OSuc(X4381))|(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4382,X4381)|X4382=X4381)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1170])])).
% 247.18/174.24  fof(i_0_1228, plain, ![X4379, X4380]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4380),X4379)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4380,X4379)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__lessD])])).
% 247.18/174.24  fof(i_0_1229, plain, ![X4626, X4627, X4629, X4630, X4631]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4627,X4626)|X4626=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4627,esk17_2(X4626,X4627))))&(X4629!=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4630,X4631))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4630,X4629))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__iff__Suc__add])])])])])).
% 247.18/174.24  fof(i_0_1230, plain, ![X41, X33, X15]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)=>((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X41)&~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X41,X33))=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X41)&~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X41,X15)))), inference(fof_simplification,[status(thm)],[fact_dvd_Ole__less__trans])).
% 247.18/174.24  fof(i_0_1231, plain, ![X41, X33, X15]:((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)&~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X15))=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X41)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X41)&~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X41,X15)))), inference(fof_simplification,[status(thm)],[fact_dvd_Oless__le__trans])).
% 247.18/174.24  fof(i_0_1232, plain, ![X4386, X4387]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4387,X4386)|(c_Nat_OSuc(X4387)=X4386|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X4387),X4386))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__lessI])])).
% 247.18/174.24  fof(i_0_1233, plain, ![X3831, X3832]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3832),c_Nat_OSuc(X3831))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3832,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3832),X3831)), inference(variable_rename,[status(thm)],[fact_mult__Suc__right])).
% 247.18/174.24  fof(i_0_1234, plain, ![X3823, X3824]:((((X3824=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X3824=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3824,X3823))&(X3823=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X3824=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3824,X3823)))&((X3824=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X3823=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3824,X3823))&(X3823=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X3823=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3824,X3823))))&((X3824!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X3823!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3824,X3823))&(X3824!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X3823!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3824,X3823)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__is__add])])])).
% 247.18/174.24  fof(i_0_1235, plain, ![X3821, X3822]:((((X3822=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X3822=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3822,X3821)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&(X3821=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X3822=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3822,X3821)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))&((X3822=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X3821=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3822,X3821)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&(X3821=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X3821=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3822,X3821)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))&((X3822!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X3821!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3822,X3821)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&(X3822!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X3821!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3822,X3821)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__is__1])])])).
% 247.18/174.24  fof(i_0_1236, plain, ![X3825, X3826]:(((X3826=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3826),X3825)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&(X3825=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3826),X3825)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))&(X3826!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X3825!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3826),X3825)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__eq__1__iff])])])).
% 247.18/174.24  fof(i_0_1237, plain, ![X4053]:c_Nat_Onat_Onat__size(c_Nat_OSuc(X4053))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_Onat_Onat__size(X4053),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(variable_rename,[status(thm)],[fact_nat_Osize_I2_J])).
% 247.18/174.24  fof(i_0_1238, plain, ![X4611]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4611,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|X4611=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(X4611!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4611,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__Suc0])])).
% 247.18/174.24  fof(i_0_1239, plain, ![X4659, X4660]:c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4660,X4659),c_Nat_OSuc(X4660)), inference(variable_rename,[status(thm)],[fact_diff__less__Suc])).
% 247.18/174.24  fof(i_0_1240, plain, ![X17, X5]:(class_Rings_Olinordered__ring(X5)=>~c_Orderings_Oord__class_Oless(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X17),X17),c_Groups_Ozero__class_Ozero(X5))), inference(fof_simplification,[status(thm)],[fact_not__square__less__zero])).
% 247.18/174.24  fof(i_0_1241, plain, ![X12, X18]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12),X12)), inference(fof_simplification,[status(thm)],[fact_mod__geq])).
% 247.18/174.24  fof(i_0_1242, plain, ![X12, X18]:((c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12)=X18)&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>c_Divides_Odiv__class_Omod(tc_Nat_Onat,X18,X12)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12),X12))), inference(fof_simplification,[status(thm)],[fact_mod__if])).
% 247.18/174.24  fof(i_0_1243, plain, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X18)=>(c_Orderings_Oord__class_Oless(tc_Int_Oint,X18,X12)=>~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X12,X18))), inference(fof_simplification,[status(thm)],[fact_zdvd__not__zless])).
% 247.18/174.24  fof(i_0_1244, plain, ![X12, X18]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X18)=>(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X12,X18))), inference(fof_simplification,[status(thm)],[fact_nat__dvd__not__less])).
% 247.18/174.24  fof(i_0_1245, plain, ![X4769]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4769)|c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4769,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=X4769), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__diff__1])])).
% 247.18/174.24  fof(i_0_1246, plain, ![X4770]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4770)|X4770=c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4770,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__pred_H])])).
% 247.18/174.24  fof(i_0_1247, plain, ![X4388, X4389]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4389,X4388)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4389,c_Nat_OSuc(X4388))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__SucI])])).
% 247.18/174.24  fof(i_0_1248, plain, ![X49, X51]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X51,X49),X51), inference(fof_simplification,[status(thm)],[fact_not__add__less1])).
% 247.18/174.24  fof(i_0_1249, plain, ![X51, X49]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X49,X51),X51), inference(fof_simplification,[status(thm)],[fact_not__add__less2])).
% 247.18/174.24  fof(i_0_1250, plain, ![X3760, X3761]:((hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3761),X3760)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|(X3760=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X3761=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))&((X3760!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3761),X3760)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&(X3761!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3761),X3760)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__power__eq__Suc__0__iff])])])).
% 247.18/174.24  fof(i_0_1251, plain, ![X3856, X3857, X3858]:((X3857!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3858))|c_Polynomial_Odegree(X3858,c_Polynomial_OpCons(X3858,X3856,X3857))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Groups_Ozero(X3858))&(X3857=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3858))|c_Polynomial_Odegree(X3858,c_Polynomial_OpCons(X3858,X3856,X3857))=c_Nat_OSuc(c_Polynomial_Odegree(X3858,X3857))|~class_Groups_Ozero(X3858))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__pCons__eq__if])])])).
% 247.18/174.24  fof(i_0_1252, plain, ![X3844, X3845, X3846]:(~class_Groups_Ozero(X3846)|(X3845=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3846))|c_Polynomial_Odegree(X3846,c_Polynomial_OpCons(X3846,X3844,X3845))=c_Nat_OSuc(c_Polynomial_Odegree(X3846,X3845)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__pCons__eq])])).
% 247.18/174.24  fof(i_0_1253, plain, ![X12, X18]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X18,X12)=>c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X12,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X18,X12))=X18), inference(fof_simplification,[status(thm)],[fact_add__diff__inverse])).
% 247.18/174.24  fof(i_0_1254, plain, ![X3796, X3797]:(~class_Power_Opower(X3797)|~class_Rings_Osemiring__0(X3797)|hAPP(hAPP(c_Power_Opower__class_Opower(X3797),c_Groups_Ozero__class_Ozero(X3797)),c_Nat_OSuc(X3796))=c_Groups_Ozero__class_Ozero(X3797)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0__Suc])])).
% 247.18/174.24  fof(i_0_1255, plain, ![X3736, X3737]:(c_Nat_OSuc(X3737)!=c_Nat_OSuc(X3736)|X3737=X3736), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Suc__inject])])).
% 247.18/174.24  fof(i_0_1256, plain, ![X3734, X3735]:((c_Nat_OSuc(X3735)!=c_Nat_OSuc(X3734)|X3735=X3734)&(X3735!=X3734|c_Nat_OSuc(X3735)=c_Nat_OSuc(X3734))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat_Oinject])])).
% 247.18/174.24  fof(i_0_1257, plain, ![X15, X5]:(class_Rings_Olinordered__idom(X5)=>((X15=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X5),X15)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))&(X15!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5))=>((c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X15)=>c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X5),X15)=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5)))&(~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X5),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)),X15)=>c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X5),X15)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5)))))))), inference(fof_simplification,[status(thm)],[fact_sgn__poly__def])).
% 247.18/174.24  fof(i_0_1258, plain, ![X5208]:c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5208,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), inference(variable_rename,[status(thm)],[fact_mod__1])).
% 247.18/174.24  fof(i_0_1259, plain, ![X25, X17]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X17,X25)=>(X17!=X25=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X17,X25)&~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X25,X17)))), inference(fof_simplification,[status(thm)],[fact_dvd_Ole__neq__trans])).
% 247.18/174.24  fof(i_0_1260, plain, ![X33, X15]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)=>((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X15,X33)&~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X33,X15))|X15=X33)), inference(fof_simplification,[status(thm)],[fact_dvd_Ole__imp__less__or__eq])).
% 247.18/174.24  fof(i_0_1261, plain, ![X25, X17]:(X17!=X25=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X17,X25)=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X17,X25)&~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X25,X17)))), inference(fof_simplification,[status(thm)],[fact_dvd_Oneq__le__trans])).
% 247.18/174.24  fof(i_0_1262, plain, ![X20, X7]:((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X7,X20)&~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X20,X7))<=>(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X7,X20)&X7!=X20)), inference(fof_simplification,[status(thm)],[fact_dvd_Oless__le])).
% 247.18/174.24  fof(i_0_1263, plain, ![X20, X7]:(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X7,X20)<=>((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X7,X20)&~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X20,X7))|X7=X20)), inference(fof_simplification,[status(thm)],[fact_dvd_Ole__less])).
% 247.18/174.24  fof(i_0_1264, plain, ![X5641]:c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5641,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=X5641, inference(variable_rename,[status(thm)],[fact_div__1])).
% 247.18/174.24  fof(i_0_1265, plain, ![X3670]:c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3670), inference(variable_rename,[status(thm)],[fact_dvd__1__left])).
% 247.18/174.24  fof(i_0_1266, plain, ![X4254]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X4254),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X4254, inference(variable_rename,[status(thm)],[fact_diff__Suc__1])).
% 247.18/174.24  fof(i_0_1267, plain, ![X4327]:c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X4327)), inference(variable_rename,[status(thm)],[fact_zero__less__Suc])).
% 247.18/174.24  fof(i_0_1268, plain, ![X4324]:c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4324,c_Nat_OSuc(X4324)), inference(variable_rename,[status(thm)],[fact_lessI])).
% 247.18/174.24  fof(i_0_1269, plain, ![X4612, X4614, X4615]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4612)|X4612=c_Nat_OSuc(esk16_1(X4612)))&(X4614!=c_Nat_OSuc(X4615)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4614))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_gr0__conv__Suc])])])])])).
% 247.18/174.24  fof(i_0_1270, plain, ![X15, X5]:(class_Groups_Osgn__if(X5)=>((X15=c_Groups_Ozero__class_Ozero(X5)=>c_Groups_Osgn__class_Osgn(X5,X15)=c_Groups_Ozero__class_Ozero(X5))&(X15!=c_Groups_Ozero__class_Ozero(X5)=>((c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X15)=>c_Groups_Osgn__class_Osgn(X5,X15)=c_Groups_Oone__class_Oone(X5))&(~c_Orderings_Oord__class_Oless(X5,c_Groups_Ozero__class_Ozero(X5),X15)=>c_Groups_Osgn__class_Osgn(X5,X15)=c_Groups_Ouminus__class_Ouminus(X5,c_Groups_Oone__class_Oone(X5))))))), inference(fof_simplification,[status(thm)],[fact_sgn__if])).
% 247.18/174.24  fof(i_0_1271, plain, ![X10]:(~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,X10))=>?[X23]:hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X10),X23)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(fof_simplification,[status(thm)],[fact_fundamental__theorem__of__algebra])).
% 247.18/174.24  fof(i_0_1272, plain, ![X33, X15, X5]:(class_Rings_Olinordered__idom(X5)=>(X15!=X33=>(~c_Orderings_Oord__class_Oless(X5,X15,X33)=>c_Orderings_Oord__class_Oless(X5,X33,X15)))), inference(fof_simplification,[status(thm)],[fact_linorder__neqE__linordered__idom])).
% 247.18/174.24  fof(i_0_1273, plain, ![X3667, X3668]:((X3667!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3668))|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3668,X3667)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Groups_Ozero(X3668))&(X3667=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3668))|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3668,X3667)=c_Nat_OSuc(c_Polynomial_Odegree(X3668,X3667))|~class_Groups_Ozero(X3668))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_psize__def])])])).
% 247.18/174.24  fof(i_0_1274, plain, ![X5]:(class_Rings_Olinordered__semidom(X5)=>~c_Orderings_Oord__class_Oless__eq(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(X5))), inference(fof_simplification,[status(thm)],[fact_not__one__le__zero])).
% 247.18/174.24  fof(i_0_1275, plain, ![X5]:(class_Rings_Olinordered__semidom(X5)=>~c_Orderings_Oord__class_Oless(X5,c_Groups_Oone__class_Oone(X5),c_Groups_Ozero__class_Ozero(X5))), inference(fof_simplification,[status(thm)],[fact_not__one__less__zero])).
% 247.18/174.24  fof(i_0_1276, plain, ![X3743]:c_Nat_OSuc(X3743)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X3743), inference(variable_rename,[status(thm)],[fact_Suc__eq__plus1__left])).
% 247.18/174.24  fof(i_0_1277, plain, ![X33, X15]:(X15!=X33=>(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X15,X33)=>c_Orderings_Oord__class_Oless(tc_Nat_Onat,X33,X15))), inference(fof_simplification,[status(thm)],[fact_linorder__neqE__nat])).
% 247.18/174.24  fof(i_0_1278, plain, ![X3766]:c_Nat_OSuc(X3766)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), inference(variable_rename,[status(thm)],[fact_Suc__not__Zero])).
% 247.18/174.24  fof(i_0_1279, plain, ![X3765]:c_Nat_OSuc(X3765)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), inference(variable_rename,[status(thm)],[fact_nat_Osimps_I3_J])).
% 247.18/174.24  fof(i_0_1280, plain, ![X3763]:c_Nat_OSuc(X3763)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), inference(variable_rename,[status(thm)],[fact_Suc__neq__Zero])).
% 247.18/174.24  fof(i_0_1281, plain, ![X3768]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(X3768), inference(variable_rename,[status(thm)],[fact_Zero__not__Suc])).
% 247.18/174.24  fof(i_0_1282, plain, ![X3767]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(X3767), inference(variable_rename,[status(thm)],[fact_nat_Osimps_I2_J])).
% 247.18/174.24  fof(i_0_1283, plain, ![X3764]:c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(X3764), inference(variable_rename,[status(thm)],[fact_Zero__neq__Suc])).
% 247.18/174.24  fof(i_0_1284, plain, ![X3733]:c_Nat_OSuc(X3733)!=X3733, inference(variable_rename,[status(thm)],[fact_Suc__n__not__n])).
% 247.18/174.24  fof(i_0_1285, plain, ![X3732]:X3732!=c_Nat_OSuc(X3732), inference(variable_rename,[status(thm)],[fact_n__not__Suc__n])).
% 247.18/174.24  fof(i_0_1286, plain, ![X12]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(fof_simplification,[status(thm)],[fact_less__nat__zero__code])).
% 247.18/174.24  fof(i_0_1287, plain, ![X12]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(fof_simplification,[status(thm)],[fact_not__less0])).
% 247.18/174.24  fof(i_0_1288, plain, ![X12]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(fof_simplification,[status(thm)],[fact_less__zeroE])).
% 247.18/174.24  fof(i_0_1289, plain, ![X12]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,X12), inference(fof_simplification,[status(thm)],[fact_less__irrefl__nat])).
% 247.18/174.24  fof(i_0_1290, plain, ![X12]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X12,X12), inference(fof_simplification,[status(thm)],[fact_less__not__refl])).
% 247.18/174.24  fof(i_0_1291, plain, ![X5]:(class_Rings_Olinordered__idom(X5)=>~c_Polynomial_Opos__poly(X5,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5)))), inference(fof_simplification,[status(thm)],[fact_not__pos__poly__0])).
% 247.18/174.24  fof(i_0_1292, plain, ![X20, X7]:(~hBOOL(c_fequal(X7,X20))|X7=X20), inference(fof_simplification,[status(thm)],[help_c__fequal__1])).
% 247.18/174.24  fof(i_0_1293, plain, ![X5142, X5143, X5144, X5145]:(~class_Fields_Ofield(X5145)|(X5144=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5145))|c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5145),c_Polynomial_OpCons(X5145,X5143,X5142),X5144)=c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5145),c_Polynomial_OpCons(X5145,X5143,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5145),X5142,X5144)),c_Polynomial_Osmult(X5145,c_Rings_Oinverse__class_Odivide(X5145,hAPP(c_Polynomial_Ocoeff(X5145,c_Polynomial_OpCons(X5145,X5143,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5145),X5142,X5144))),c_Polynomial_Odegree(X5145,X5144)),hAPP(c_Polynomial_Ocoeff(X5145,X5144),c_Polynomial_Odegree(X5145,X5144))),X5144)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__pCons])])).
% 247.18/174.24  fof(i_0_1294, plain, ![X3320, X3321, X3322, X3323, X3324, X3325]:(~class_Groups_Ozero(X3325)|c_Polynomial_Opoly__rec(X3324,X3325,X3323,X3322,c_Polynomial_OpCons(X3325,X3321,X3320))=hAPP(hAPP(hAPP(X3322,X3321),X3320),c_If(X3324,c_fequal(X3320,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3325))),X3323,c_Polynomial_Opoly__rec(X3324,X3325,X3323,X3322,X3320)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__rec_Osimps])])).
% 247.18/174.24  fof(i_0_1295, plain, ![X4878, X4879, X4880, X4881, X4882, X4883, X4884, X4885]:(~class_Fields_Ofield(X4885)|(~c_Polynomial_Opdivmod__rel(X4885,X4884,X4883,X4882,X4881)|(~c_Polynomial_Opdivmod__rel(X4885,X4882,X4880,X4879,X4878)|c_Polynomial_Opdivmod__rel(X4885,X4884,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4885)),X4883),X4880),X4879,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4885),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4885)),X4883),X4878),X4881))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel__mult])])).
% 247.18/174.24  fof(i_0_1296, plain, ![X4892, X4893, X4894, X4895, X4896, X4897, X4898]:(~class_Fields_Ofield(X4898)|(~c_Polynomial_Opdivmod__rel(X4898,X4897,X4896,X4895,X4894)|(X4896=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4898))|(X4893!=c_Rings_Oinverse__class_Odivide(X4898,hAPP(c_Polynomial_Ocoeff(X4898,c_Polynomial_OpCons(X4898,X4892,X4894)),c_Polynomial_Odegree(X4898,X4896)),hAPP(c_Polynomial_Ocoeff(X4898,X4896),c_Polynomial_Odegree(X4898,X4896)))|c_Polynomial_Opdivmod__rel(X4898,c_Polynomial_OpCons(X4898,X4892,X4897),X4896,c_Polynomial_OpCons(X4898,X4893,X4895),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X4898),c_Polynomial_OpCons(X4898,X4892,X4894),c_Polynomial_Osmult(X4898,X4893,X4896))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel__pCons])])).
% 247.18/174.24  cnf(i_0_1297, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),c_Nat_OSuc(c_Polynomial_Oorder(X1,X3,X2))),X2)), inference(split_conjunct,[status(thm)],[i_0_1171])).
% 247.18/174.24  cnf(i_0_1298, plain, (c_Nat_OSuc(X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1172])).
% 247.18/174.24  cnf(i_0_1299, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),c_Nat_OSuc(c_Polynomial_Oorder(X1,X2,X3))),X3)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1173])).
% 247.18/174.24  fof(i_0_1300, plain, ![X3099, X3100, X3101, X3102, X3103, X3104]:(~class_Groups_Ozero(X3104)|(hAPP(hAPP(hAPP(X3103,c_Groups_Ozero__class_Ozero(X3104)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3104))),X3102)!=X3102|c_Polynomial_Opoly__rec(X3101,X3104,X3102,X3103,c_Polynomial_OpCons(X3104,X3100,X3099))=hAPP(hAPP(hAPP(X3103,X3100),X3099),c_Polynomial_Opoly__rec(X3101,X3104,X3102,X3103,X3099)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__rec__pCons])])).
% 247.18/174.24  fof(i_0_1301, plain, ![X5138, X5139, X5140, X5141]:(~class_RealVector_Oreal__normed__field(X5141)|(X5140=c_Groups_Ozero__class_Ozero(X5141)|(X5139=c_Groups_Ozero__class_Ozero(X5141)|c_Rings_Oinverse__class_Odivide(X5141,c_Groups_Ominus__class_Ominus(X5141,c_Rings_Oinverse__class_Oinverse(X5141,X5140),c_Rings_Oinverse__class_Oinverse(X5141,X5139)),X5138)=c_Groups_Ouminus__class_Ouminus(X5141,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5141),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5141),c_Rings_Oinverse__class_Oinverse(X5141,X5140)),c_Rings_Oinverse__class_Odivide(X5141,c_Groups_Ominus__class_Ominus(X5141,X5140,X5139),X5138))),c_Rings_Oinverse__class_Oinverse(X5141,X5139)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_DERIV__inverse__lemma])])).
% 247.18/174.24  fof(i_0_1302, plain, ![X4871, X4872, X4873, X4874, X4875, X4876, X4877]:((X4874=X4872|~c_Polynomial_Opdivmod__rel(X4877,X4876,X4875,X4872,X4871)|~c_Polynomial_Opdivmod__rel(X4877,X4876,X4875,X4874,X4873)|~class_Fields_Ofield(X4877))&(X4873=X4871|~c_Polynomial_Opdivmod__rel(X4877,X4876,X4875,X4872,X4871)|~c_Polynomial_Opdivmod__rel(X4877,X4876,X4875,X4874,X4873)|~class_Fields_Ofield(X4877))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel__unique])])])).
% 247.18/174.24  fof(i_0_1303, plain, ![X4857, X4858, X4859, X4860, X4861, X4862, X4863]:(~class_Fields_Ofield(X4863)|(~c_Polynomial_Opdivmod__rel(X4863,X4862,X4861,X4860,X4859)|(~c_Polynomial_Opdivmod__rel(X4863,X4862,X4861,X4858,X4857)|X4860=X4858))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel__unique__div])])).
% 247.18/174.24  fof(i_0_1304, plain, ![X4864, X4865, X4866, X4867, X4868, X4869, X4870]:(~class_Fields_Ofield(X4870)|(~c_Polynomial_Opdivmod__rel(X4870,X4869,X4868,X4867,X4866)|(~c_Polynomial_Opdivmod__rel(X4870,X4869,X4868,X4865,X4864)|X4866=X4864))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel__unique__mod])])).
% 247.18/174.24  fof(i_0_1305, plain, ![X3661, X3662, X3663]:(~class_Rings_Ocomm__semiring__1(X3663)|hAPP(c_Polynomial_Ocoeff(X3663,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X3663)),c_Polynomial_OpCons(X3663,X3662,c_Polynomial_OpCons(X3663,c_Groups_Oone__class_Oone(X3663),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3663))))),X3661)),X3661)=c_Groups_Oone__class_Oone(X3663)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__linear__power])])).
% 247.18/174.24  fof(i_0_1306, plain, ![X4851, X4852, X4853, X4854, X4855, X4856]:(~class_Fields_Ofield(X4856)|(~c_Polynomial_Opdivmod__rel(X4856,X4855,X4854,X4853,X4852)|c_Polynomial_Opdivmod__rel(X4856,c_Polynomial_Osmult(X4856,X4851,X4855),X4854,c_Polynomial_Osmult(X4856,X4851,X4853),c_Polynomial_Osmult(X4856,X4851,X4852)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel__smult__left])])).
% 247.18/174.24  fof(i_0_1307, plain, ![X4886, X4887, X4888, X4889, X4890, X4891]:(~class_Fields_Ofield(X4891)|(X4890=c_Groups_Ozero__class_Ozero(X4891)|(~c_Polynomial_Opdivmod__rel(X4891,X4889,X4888,X4887,X4886)|c_Polynomial_Opdivmod__rel(X4891,X4889,c_Polynomial_Osmult(X4891,X4890,X4888),c_Polynomial_Osmult(X4891,c_Rings_Oinverse__class_Oinverse(X4891,X4890),X4887),X4886)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel__smult__right])])).
% 247.18/174.24  fof(i_0_1308, plain, ![X4233, X4234, X4235, X4236, X4237]:(~class_RealVector_Oreal__normed__algebra(X4237)|c_Groups_Ominus__class_Ominus(X4237,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4237),X4236),X4235),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4237),X4234),X4233))=c_Groups_Oplus__class_Oplus(X4237,c_Groups_Oplus__class_Oplus(X4237,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4237),c_Groups_Ominus__class_Ominus(X4237,X4236,X4234)),c_Groups_Ominus__class_Ominus(X4237,X4235,X4233)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4237),c_Groups_Ominus__class_Ominus(X4237,X4236,X4234)),X4233)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4237),X4234),c_Groups_Ominus__class_Ominus(X4237,X4235,X4233)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oprod__diff__prod])])).
% 247.18/174.24  fof(i_0_1309, plain, ![X4047, X4048, X4052]:(((esk12_2(X4047,X4048)!=c_Groups_Ozero__class_Ozero(X4048)|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X4048,X4048,c_Polynomial_Opoly(X4048,X4047))|~class_Rings_Oidom(X4048))&(esk11_2(X4047,X4048)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X4048,X4048,c_Polynomial_Opoly(X4048,X4047))|~class_Rings_Oidom(X4048)))&((c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X4048,esk13_2(X4047,X4048)),esk11_2(X4047,X4048)),c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X4048,X4047)|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X4048,X4048,c_Polynomial_Opoly(X4048,X4047))|~class_Rings_Oidom(X4048))&(hAPP(c_Polynomial_Opoly(X4048,X4047),X4052)=c_Groups_Oplus__class_Oplus(X4048,hAPP(c_Polynomial_Opoly(X4048,X4047),c_Groups_Ozero__class_Ozero(X4048)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4048),hAPP(hAPP(c_Power_Opower__class_Opower(X4048),X4052),esk11_2(X4047,X4048))),hAPP(c_Polynomial_Opoly(X4048,c_Polynomial_OpCons(X4048,esk12_2(X4047,X4048),esk13_2(X4047,X4048))),X4052)))|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X4048,X4048,c_Polynomial_Opoly(X4048,X4047))|~class_Rings_Oidom(X4048)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1174])])])])])).
% 247.18/174.24  fof(i_0_1310, plain, ![X5130, X5131, X5132, X5133, X5134, X5135]:(~class_RealVector_Oreal__field(X5135)|c_Rings_Oinverse__class_Odivide(X5135,c_Groups_Ominus__class_Ominus(X5135,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5135),X5134),X5133),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5135),X5132),X5131)),X5130)=c_Groups_Oplus__class_Oplus(X5135,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5135),X5134),c_Rings_Oinverse__class_Odivide(X5135,c_Groups_Ominus__class_Ominus(X5135,X5133,X5131),X5130)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5135),c_Rings_Oinverse__class_Odivide(X5135,c_Groups_Ominus__class_Ominus(X5135,X5134,X5132),X5130)),X5131))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_DERIV__mult__lemma])])).
% 247.18/174.24  fof(i_0_1311, plain, ![X3866, X3867, X3868]:(~class_Rings_Ocomm__ring__1(X3868)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3868),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3868)),c_Polynomial_OpCons(X3868,c_Groups_Ouminus__class_Ouminus(X3868,X3867),c_Polynomial_OpCons(X3868,c_Groups_Oone__class_Oone(X3868),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3868))))),c_Polynomial_Osynthetic__div(X3868,X3866,X3867)),c_Polynomial_OpCons(X3868,hAPP(c_Polynomial_Opoly(X3868,X3866),X3867),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3868))))=X3866), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_synthetic__div__correct_H])])).
% 247.18/174.24  fof(i_0_1312, plain, ![X4708, X4709, X4710, X4711, X4712, X4713]:((~c_Orderings_Oord__class_Oless(X4713,c_Groups_Oplus__class_Oplus(X4713,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4713),X4712),X4711),X4710),c_Groups_Oplus__class_Oplus(X4713,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4713),X4709),X4711),X4708))|c_Orderings_Oord__class_Oless(X4713,c_Groups_Oplus__class_Oplus(X4713,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4713),c_Groups_Ominus__class_Ominus(X4713,X4712,X4709)),X4711),X4710),X4708)|~class_Rings_Oordered__ring(X4713))&(~c_Orderings_Oord__class_Oless(X4713,c_Groups_Oplus__class_Oplus(X4713,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4713),c_Groups_Ominus__class_Ominus(X4713,X4712,X4709)),X4711),X4710),X4708)|c_Orderings_Oord__class_Oless(X4713,c_Groups_Oplus__class_Oplus(X4713,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4713),X4712),X4711),X4710),c_Groups_Oplus__class_Oplus(X4713,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4713),X4709),X4711),X4708))|~class_Rings_Oordered__ring(X4713))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__iff1])])])).
% 247.18/174.24  fof(i_0_1313, plain, ![X4702, X4703, X4704, X4705, X4706, X4707]:((~c_Orderings_Oord__class_Oless(X4707,c_Groups_Oplus__class_Oplus(X4707,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4707),X4706),X4705),X4704),c_Groups_Oplus__class_Oplus(X4707,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4707),X4703),X4705),X4702))|c_Orderings_Oord__class_Oless(X4707,X4704,c_Groups_Oplus__class_Oplus(X4707,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4707),c_Groups_Ominus__class_Ominus(X4707,X4703,X4706)),X4705),X4702))|~class_Rings_Oordered__ring(X4707))&(~c_Orderings_Oord__class_Oless(X4707,X4704,c_Groups_Oplus__class_Oplus(X4707,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4707),c_Groups_Ominus__class_Ominus(X4707,X4703,X4706)),X4705),X4702))|c_Orderings_Oord__class_Oless(X4707,c_Groups_Oplus__class_Oplus(X4707,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4707),X4706),X4705),X4704),c_Groups_Oplus__class_Oplus(X4707,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4707),X4703),X4705),X4702))|~class_Rings_Oordered__ring(X4707))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__iff2])])])).
% 247.18/174.24  fof(i_0_1314, plain, ![X3876, X3877, X3878]:(~class_Rings_Oidom(X3878)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3878),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X3878)),c_Polynomial_OpCons(X3878,c_Groups_Ouminus__class_Ouminus(X3878,X3877),c_Polynomial_OpCons(X3878,c_Groups_Oone__class_Oone(X3878),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3878))))),c_Polynomial_Oorder(X3878,X3877,X3876)),X3876)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__1])])).
% 247.18/174.24  fof(i_0_1315, plain, ![X4832, X4833, X4834, X4835, X4836]:((((X4835=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4836),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4836)),X4833),X4834),X4832)|~c_Polynomial_Opdivmod__rel(X4836,X4835,X4834,X4833,X4832)|~class_Fields_Ofield(X4836))&(X4834!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|X4833=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|~c_Polynomial_Opdivmod__rel(X4836,X4835,X4834,X4833,X4832)|~class_Fields_Ofield(X4836)))&(X4834=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|(X4832=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4836,X4832),c_Polynomial_Odegree(X4836,X4834)))|~c_Polynomial_Opdivmod__rel(X4836,X4835,X4834,X4833,X4832)|~class_Fields_Ofield(X4836)))&(((X4834!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|(X4834=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|X4835!=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4836),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4836)),X4833),X4834),X4832))|c_Polynomial_Opdivmod__rel(X4836,X4835,X4834,X4833,X4832)|~class_Fields_Ofield(X4836))&((X4832!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|(X4834=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|X4835!=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4836),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4836)),X4833),X4834),X4832))|c_Polynomial_Opdivmod__rel(X4836,X4835,X4834,X4833,X4832)|~class_Fields_Ofield(X4836))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4836,X4832),c_Polynomial_Odegree(X4836,X4834))|(X4834=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|X4835!=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4836),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4836)),X4833),X4834),X4832))|c_Polynomial_Opdivmod__rel(X4836,X4835,X4834,X4833,X4832)|~class_Fields_Ofield(X4836))))&((X4834!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|(X4833!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|X4835!=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4836),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4836)),X4833),X4834),X4832))|c_Polynomial_Opdivmod__rel(X4836,X4835,X4834,X4833,X4832)|~class_Fields_Ofield(X4836))&((X4832!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|(X4833!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|X4835!=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4836),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4836)),X4833),X4834),X4832))|c_Polynomial_Opdivmod__rel(X4836,X4835,X4834,X4833,X4832)|~class_Fields_Ofield(X4836))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4836,X4832),c_Polynomial_Odegree(X4836,X4834))|(X4833!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4836))|X4835!=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4836),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X4836)),X4833),X4834),X4832))|c_Polynomial_Opdivmod__rel(X4836,X4835,X4834,X4833,X4832)|~class_Fields_Ofield(X4836)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel__def])])])).
% 247.18/174.24  cnf(i_0_1316, plain, (c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),c_Groups_Oplus__class_Oplus(X1,X2,X3))|~class_Rings_Ocomm__ring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1175])).
% 247.18/174.24  fof(i_0_1317, plain, ![X4757, X4758, X4759]:(~class_Rings_Odivision__ring(X4759)|(X4758=c_Groups_Ozero__class_Ozero(X4759)|(X4757=c_Groups_Ozero__class_Ozero(X4759)|c_Groups_Ominus__class_Ominus(X4759,c_Rings_Oinverse__class_Oinverse(X4759,X4758),c_Rings_Oinverse__class_Oinverse(X4759,X4757))=c_Groups_Ouminus__class_Ouminus(X4759,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4759),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4759),c_Rings_Oinverse__class_Oinverse(X4759,X4758)),c_Groups_Ominus__class_Ominus(X4759,X4758,X4757))),c_Rings_Oinverse__class_Oinverse(X4759,X4757)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Deriv_Oinverse__diff__inverse])])).
% 247.18/174.24  fof(i_0_1318, plain, ![X5659, X5660, X5661, X5662, X5663]:(~class_Fields_Ofield(X5663)|(~c_Polynomial_Opdivmod__rel(X5663,X5662,X5661,X5660,X5659)|c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5663),X5662,X5661)=X5660)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__poly__eq])])).
% 247.18/174.24  fof(i_0_1319, plain, ![X5168, X5169, X5170, X5171, X5172]:(~class_Fields_Ofield(X5172)|(~c_Polynomial_Opdivmod__rel(X5172,X5171,X5170,X5169,X5168)|c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5172),X5171,X5170)=X5168)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__poly__eq])])).
% 247.18/174.24  fof(i_0_1320, plain, ![X4839, X4840, X4841, X4842]:(((X4840=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4842))|~c_Polynomial_Opdivmod__rel(X4842,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4842)),X4841,X4840,X4839)|~class_Fields_Ofield(X4842))&(X4839=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4842))|~c_Polynomial_Opdivmod__rel(X4842,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4842)),X4841,X4840,X4839)|~class_Fields_Ofield(X4842)))&(X4840!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4842))|X4839!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4842))|c_Polynomial_Opdivmod__rel(X4842,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4842)),X4841,X4840,X4839)|~class_Fields_Ofield(X4842))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel__0__iff])])])).
% 247.18/174.24  fof(i_0_1321, plain, ![X4843, X4844, X4845, X4846]:(((X4844=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4846))|~c_Polynomial_Opdivmod__rel(X4846,X4845,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4846)),X4844,X4843)|~class_Fields_Ofield(X4846))&(X4843=X4845|~c_Polynomial_Opdivmod__rel(X4846,X4845,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4846)),X4844,X4843)|~class_Fields_Ofield(X4846)))&(X4844!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4846))|X4843!=X4845|c_Polynomial_Opdivmod__rel(X4846,X4845,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4846)),X4844,X4843)|~class_Fields_Ofield(X4846))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel__by__0__iff])])])).
% 247.18/174.24  fof(i_0_1322, plain, ![X5620, X5621, X5622, X5623, X5624]:((~hBOOL(hAPP(hAPP(X5621,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5620,X5622)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5620,X5622)))|(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5624)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5624,X5622)|X5620!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5622),X5623),X5624)|hBOOL(hAPP(hAPP(X5621,X5623),X5624)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5622))&((((c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),esk27_3(X5620,X5621,X5622))|hBOOL(hAPP(hAPP(X5621,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5620,X5622)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5620,X5622)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5622))&(c_Orderings_Oord__class_Oless(tc_Int_Oint,esk27_3(X5620,X5621,X5622),X5622)|hBOOL(hAPP(hAPP(X5621,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5620,X5622)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5620,X5622)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5622)))&(X5620=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5622),esk26_3(X5620,X5621,X5622)),esk27_3(X5620,X5621,X5622))|hBOOL(hAPP(hAPP(X5621,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5620,X5622)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5620,X5622)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5622)))&(~hBOOL(hAPP(hAPP(X5621,esk26_3(X5620,X5621,X5622)),esk27_3(X5620,X5621,X5622)))|hBOOL(hAPP(hAPP(X5621,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5620,X5622)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5620,X5622)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5622)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__pos__lemma])])])])])).
% 247.18/174.24  fof(i_0_1323, plain, ![X5613, X5614, X5615, X5616, X5617]:((~hBOOL(hAPP(hAPP(X5614,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5613,X5615)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5613,X5615)))|(~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5615,X5617)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5617,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|X5613!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5615),X5616),X5617)|hBOOL(hAPP(hAPP(X5614,X5616),X5617)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5615,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))&((((c_Orderings_Oord__class_Oless(tc_Int_Oint,X5615,esk25_3(X5613,X5614,X5615))|hBOOL(hAPP(hAPP(X5614,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5613,X5615)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5613,X5615)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5615,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))&(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk25_3(X5613,X5614,X5615),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|hBOOL(hAPP(hAPP(X5614,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5613,X5615)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5613,X5615)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5615,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))&(X5613=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5615),esk24_3(X5613,X5614,X5615)),esk25_3(X5613,X5614,X5615))|hBOOL(hAPP(hAPP(X5614,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5613,X5615)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5613,X5615)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5615,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))&(~hBOOL(hAPP(hAPP(X5614,esk24_3(X5613,X5614,X5615)),esk25_3(X5613,X5614,X5615)))|hBOOL(hAPP(hAPP(X5614,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5613,X5615)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5613,X5615)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5615,c_Groups_Ozero__class_Ozero(tc_Int_Oint))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__neg__lemma])])])])])).
% 247.18/174.24  fof(i_0_1324, plain, ![X5429, X5430, X5431]:c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X5431,X5430),X5429)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5431,X5429),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5430,X5429)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5431,X5429),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5430,X5429)),X5429)), inference(variable_rename,[status(thm)],[fact_zdiv__zadd1__eq])).
% 247.18/174.24  fof(i_0_1325, plain, ![X5627, X5628, X5629]:c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X5629,X5628),X5627)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5629,X5627),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5628,X5627)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5629,X5627),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5628,X5627)),X5627)), inference(variable_rename,[status(thm)],[fact_div__add1__eq])).
% 247.18/174.24  fof(i_0_1326, plain, ![X3664, X3665, X3666]:(~class_Rings_Ocomm__semiring__1(X3666)|c_Polynomial_Odegree(X3666,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X3666)),c_Polynomial_OpCons(X3666,X3665,c_Polynomial_OpCons(X3666,c_Groups_Oone__class_Oone(X3666),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3666))))),X3664))=X3664), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__linear__power])])).
% 247.18/174.24  cnf(i_0_1327, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X1)),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X1)),X3))), inference(split_conjunct,[status(thm)],[i_0_1176])).
% 247.18/174.24  fof(i_0_1328, plain, ![X3657, X3658, X3659, X3660]:(~class_Rings_Ocomm__ring__1(X3660)|hAPP(c_Polynomial_Opoly(X3660,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3660)),c_Polynomial_Omonom(X3660,c_Groups_Oone__class_Oone(X3660),X3659)),X3658)),X3657)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3660),hAPP(hAPP(c_Power_Opower__class_Opower(X3660),X3657),X3659)),hAPP(c_Polynomial_Opoly(X3660,X3658),X3657))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__replicate__append])])).
% 247.18/174.24  fof(i_0_1329, plain, ![X5579, X5580, X5581, X5582]:(~class_Divides_Osemiring__div(X5582)|c_Groups_Oplus__class_Oplus(X5582,c_Groups_Oplus__class_Oplus(X5582,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5582),c_Divides_Odiv__class_Odiv(X5582,X5581,X5580)),X5580),c_Divides_Odiv__class_Omod(X5582,X5581,X5580)),X5579)=c_Groups_Oplus__class_Oplus(X5582,X5581,X5579)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mod__equality])])).
% 247.18/174.24  fof(i_0_1330, plain, ![X4263, X4264, X4265, X4266, X4267, X4268]:((~c_Rings_Odvd__class_Odvd(X4266,X4265,c_Groups_Oplus__class_Oplus(X4266,X4267,X4263))|c_Rings_Odvd__class_Odvd(X4266,X4265,c_Groups_Oplus__class_Oplus(X4266,c_Groups_Ominus__class_Ominus(X4266,X4267,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4266),X4268),X4264)),X4263))|~c_Rings_Odvd__class_Odvd(X4266,X4265,X4264)|(~class_Rings_Ocomm__ring(X4266)|~class_Rings_Odvd(X4266)))&(~c_Rings_Odvd__class_Odvd(X4266,X4265,c_Groups_Oplus__class_Oplus(X4266,c_Groups_Ominus__class_Ominus(X4266,X4267,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4266),X4268),X4264)),X4263))|c_Rings_Odvd__class_Odvd(X4266,X4265,c_Groups_Oplus__class_Oplus(X4266,X4267,X4263))|~c_Rings_Odvd__class_Odvd(X4266,X4265,X4264)|(~class_Rings_Ocomm__ring(X4266)|~class_Rings_Odvd(X4266)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inf__period_I4_J])])])])).
% 247.18/174.24  fof(i_0_1331, plain, ![X4257, X4258, X4259, X4260, X4261, X4262]:((~c_Rings_Odvd__class_Odvd(X4260,X4259,c_Groups_Oplus__class_Oplus(X4260,X4261,X4257))|c_Rings_Odvd__class_Odvd(X4260,X4259,c_Groups_Oplus__class_Oplus(X4260,c_Groups_Ominus__class_Ominus(X4260,X4261,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4260),X4262),X4258)),X4257))|~c_Rings_Odvd__class_Odvd(X4260,X4259,X4258)|(~class_Rings_Ocomm__ring(X4260)|~class_Rings_Odvd(X4260)))&(~c_Rings_Odvd__class_Odvd(X4260,X4259,c_Groups_Oplus__class_Oplus(X4260,c_Groups_Ominus__class_Ominus(X4260,X4261,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4260),X4262),X4258)),X4257))|c_Rings_Odvd__class_Odvd(X4260,X4259,c_Groups_Oplus__class_Oplus(X4260,X4261,X4257))|~c_Rings_Odvd__class_Odvd(X4260,X4259,X4258)|(~class_Rings_Ocomm__ring(X4260)|~class_Rings_Odvd(X4260)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inf__period_I3_J])])])])).
% 247.18/174.24  fof(i_0_1332, plain, ![X3051, X3052, X3053, X3054]:(~class_Groups_Ozero(X3054)|(hAPP(hAPP(hAPP(X3053,c_Groups_Ozero__class_Ozero(X3054)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3054))),X3052)!=X3052|c_Polynomial_Opoly__rec(X3051,X3054,X3052,X3053,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3054)))=X3052)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__rec__0])])).
% 247.18/174.24  fof(i_0_1333, plain, ![X5664, X5665, X5666]:(~class_Fields_Ofield(X5666)|c_Polynomial_Opdivmod__rel(X5666,X5665,X5664,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5666),X5665,X5664),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5666),X5665,X5664))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel])])).
% 247.18/174.24  fof(i_0_1334, plain, ![X5446, X5447, X5448]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5448,X5447)),X5447),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5448,X5447)),X5446)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X5448,X5446), inference(variable_rename,[status(thm)],[fact_zdiv__zmod__equality2])).
% 247.18/174.24  fof(i_0_1335, plain, ![X3903, X3904, X3905, X3906, X3907]:((~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3907,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3905,X3904))|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3907,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3905,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3903),X3906)),X3904))|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3907,X3906))&(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3907,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3905,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3903),X3906)),X3904))|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3907,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3905,X3904))|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3907,X3906))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdvd__period])])])).
% 247.18/174.24  fof(i_0_1336, plain, ![X4781, X4782, X4783]:(~class_Fields_Ofield(X4783)|(X4782=c_Groups_Ozero__class_Ozero(X4783)|(X4781=c_Groups_Ozero__class_Ozero(X4783)|c_Groups_Oplus__class_Oplus(X4783,c_Rings_Oinverse__class_Oinverse(X4783,X4782),c_Rings_Oinverse__class_Oinverse(X4783,X4781))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4783),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4783),c_Groups_Oplus__class_Oplus(X4783,X4782,X4781)),c_Rings_Oinverse__class_Oinverse(X4783,X4782))),c_Rings_Oinverse__class_Oinverse(X4783,X4781))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__add])])).
% 247.18/174.24  fof(i_0_1337, plain, ![X4282, X4283, X4284, X4285]:(((((X4283!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4282!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4283=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4283)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))&(hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Oone__class_Oone(X4285)|X4283=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4283)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285)))&((X4283!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4282!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4282=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4283)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))&(hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Oone__class_Oone(X4285)|X4282=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4283)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))))&((X4283!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4282!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Ozero__class_Ozero(X4285)|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4283)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))&(hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Oone__class_Oone(X4285)|hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Ozero__class_Ozero(X4285)|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4283)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))))&(((((X4283!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4282!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4283=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))&(hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Oone__class_Oone(X4285)|X4283=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285)))&((X4283!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4282!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4282=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))&(hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Oone__class_Oone(X4285)|X4282=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))))&((X4283!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4282!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Ozero__class_Ozero(X4285)|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))&(hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Oone__class_Oone(X4285)|hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Ozero__class_Ozero(X4285)|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))))&((((X4283!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4282!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4283=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4284)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))&(hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Oone__class_Oone(X4285)|X4283=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4284)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285)))&((X4283!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4282!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4282=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4284)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))&(hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Oone__class_Oone(X4285)|X4282=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4284)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))))&((X4283!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|X4282!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4285))|hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Ozero__class_Ozero(X4285)|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4284)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285))&(hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Oone__class_Oone(X4285)|hAPP(c_Polynomial_Ocoeff(X4285,X4284),c_Polynomial_Odegree(X4285,X4284))!=c_Groups_Ozero__class_Ozero(X4285)|c_Polynomial_Opoly__gcd(X4285,X4283,X4282)=X4284|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),esk14_4(X4282,X4283,X4284,X4285),X4284)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4282)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4285),X4284,X4283)|~class_Fields_Ofield(X4285)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd__unique])])])])).
% 247.18/174.24  fof(i_0_1338, plain, ![X4847, X4848]:(~class_Fields_Ofield(X4848)|c_Polynomial_Opdivmod__rel(X4848,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4848)),X4847,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4848)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4848)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel__0])])).
% 247.18/174.24  cnf(i_0_1339, plain, (X2=X3|X2=c_Groups_Ouminus__class_Ouminus(X1,X3)|hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))!=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1177])).
% 247.18/174.24  fof(i_0_1340, plain, ![X4849, X4850]:(~class_Fields_Ofield(X4850)|c_Polynomial_Opdivmod__rel(X4850,X4849,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4850)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4850)),X4849)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pdivmod__rel__by__0])])).
% 247.18/174.24  fof(i_0_1341, plain, ![X4221, X4222, X4223, X4224, X4225, X4226]:((c_Groups_Oplus__class_Oplus(X4226,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4226),X4225),X4224),X4223)!=c_Groups_Oplus__class_Oplus(X4226,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4226),X4222),X4224),X4221)|c_Groups_Oplus__class_Oplus(X4226,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4226),c_Groups_Ominus__class_Ominus(X4226,X4225,X4222)),X4224),X4223)=X4221|~class_Rings_Oring(X4226))&(c_Groups_Oplus__class_Oplus(X4226,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4226),c_Groups_Ominus__class_Ominus(X4226,X4225,X4222)),X4224),X4223)!=X4221|c_Groups_Oplus__class_Oplus(X4226,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4226),X4225),X4224),X4223)=c_Groups_Oplus__class_Oplus(X4226,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4226),X4222),X4224),X4221)|~class_Rings_Oring(X4226))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__add__iff1])])])).
% 247.18/174.24  fof(i_0_1342, plain, ![X4227, X4228, X4229, X4230, X4231, X4232]:((c_Groups_Oplus__class_Oplus(X4232,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4232),X4231),X4230),X4229)!=c_Groups_Oplus__class_Oplus(X4232,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4232),X4228),X4230),X4227)|X4229=c_Groups_Oplus__class_Oplus(X4232,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4232),c_Groups_Ominus__class_Ominus(X4232,X4228,X4231)),X4230),X4227)|~class_Rings_Oring(X4232))&(X4229!=c_Groups_Oplus__class_Oplus(X4232,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4232),c_Groups_Ominus__class_Ominus(X4232,X4228,X4231)),X4230),X4227)|c_Groups_Oplus__class_Oplus(X4232,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4232),X4231),X4230),X4229)=c_Groups_Oplus__class_Oplus(X4232,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4232),X4228),X4230),X4227)|~class_Rings_Oring(X4232))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__add__iff2])])])).
% 247.18/174.24  cnf(i_0_1343, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X3)),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X3)),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1176])).
% 247.18/174.24  fof(i_0_1344, plain, ![X5440, X5441, X5442]:c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5442),X5441),X5440)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5442),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5441,X5440)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5442),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5441,X5440)),X5440)), inference(variable_rename,[status(thm)],[fact_zdiv__zmult1__eq])).
% 247.18/174.24  fof(i_0_1345, plain, ![X5888, X5889, X5890]:c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5890),X5889),X5888)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5890),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5889,X5888)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5890),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5889,X5888)),X5888)), inference(variable_rename,[status(thm)],[fact_div__mult1__eq])).
% 247.18/174.24  fof(i_0_1346, plain, ![X4198, X4199, X4200, X4201, X4202]:(~class_Rings_Oring(X4202)|c_Groups_Ominus__class_Ominus(X4202,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4202),X4201),X4200),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4202),X4199),X4198))=c_Groups_Oplus__class_Oplus(X4202,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4202),X4201),c_Groups_Ominus__class_Ominus(X4202,X4200,X4198)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4202),c_Groups_Ominus__class_Ominus(X4202,X4201,X4199)),X4198))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__diff__mult])])).
% 247.18/174.24  fof(i_0_1347, plain, ![X5600, X5601, X5602]:(~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5602)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X5601,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5600),X5602))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5600),c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5601,X5600),X5602)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5601,X5600))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmod__zmult2__eq])])).
% 247.18/174.24  fof(i_0_1348, plain, ![X5583, X5584, X5585, X5586]:(~class_Divides_Osemiring__div(X5586)|c_Groups_Oplus__class_Oplus(X5586,c_Groups_Oplus__class_Oplus(X5586,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5586),X5585),c_Divides_Odiv__class_Odiv(X5586,X5584,X5585)),c_Divides_Odiv__class_Omod(X5586,X5584,X5585)),X5583)=c_Groups_Oplus__class_Oplus(X5586,X5584,X5583)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mod__equality2])])).
% 247.18/174.24  fof(i_0_1349, plain, ![X3480, X3481, X3482, X3483, X3484]:(~class_Rings_Osemiring(X3484)|c_Groups_Oplus__class_Oplus(X3484,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3484),X3483),X3482),c_Groups_Oplus__class_Oplus(X3484,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3484),X3481),X3482),X3480))=c_Groups_Oplus__class_Oplus(X3484,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3484),c_Groups_Oplus__class_Oplus(X3484,X3483,X3481)),X3482),X3480)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_combine__common__factor])])).
% 247.18/174.24  fof(i_0_1350, plain, ![X4688, X4689, X4690]:(~class_Rings_Odivision__ring(X4690)|(X4689=c_Groups_Ozero__class_Ozero(X4690)|(X4688=c_Groups_Ozero__class_Ozero(X4690)|c_Groups_Ominus__class_Ominus(X4690,c_Rings_Oinverse__class_Oinverse(X4690,X4689),c_Rings_Oinverse__class_Oinverse(X4690,X4688))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4690),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4690),c_Rings_Oinverse__class_Oinverse(X4690,X4689)),c_Groups_Ominus__class_Ominus(X4690,X4688,X4689))),c_Rings_Oinverse__class_Oinverse(X4690,X4688))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_division__ring__inverse__diff])])).
% 247.18/174.24  fof(i_0_1351, plain, ![X4685, X4686, X4687]:(~class_Rings_Odivision__ring(X4687)|(X4686=c_Groups_Ozero__class_Ozero(X4687)|(X4685=c_Groups_Ozero__class_Ozero(X4687)|c_Groups_Oplus__class_Oplus(X4687,c_Rings_Oinverse__class_Oinverse(X4687,X4686),c_Rings_Oinverse__class_Oinverse(X4687,X4685))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4687),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4687),c_Rings_Oinverse__class_Oinverse(X4687,X4686)),c_Groups_Oplus__class_Oplus(X4687,X4686,X4685))),c_Rings_Oinverse__class_Oinverse(X4687,X4685))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_division__ring__inverse__add])])).
% 247.18/174.24  fof(i_0_1352, plain, ![X5291, X5292, X5293, X5294]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X5294)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5293,X5292)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5292),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5291,X5294)),X5293),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5292),X5294)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__lemma])])).
% 247.18/174.24  fof(i_0_1353, plain, ![X5891, X5892, X5893]:c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5893,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5892),X5891))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5892),c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5893,X5892),X5891)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5893,X5892)), inference(variable_rename,[status(thm)],[fact_mod__mult2__eq])).
% 247.18/174.24  fof(i_0_1354, plain, ![X5443, X5444, X5445]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5445),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5444,X5445)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5444,X5445)),X5443)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X5444,X5443), inference(variable_rename,[status(thm)],[fact_zdiv__zmod__equality])).
% 247.18/174.24  fof(i_0_1355, plain, ![X3148, X3149, X3150]:(~class_Rings_Ocomm__semiring__0(X3150)|hAPP(c_Polynomial_Ocoeff(X3150,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3150)),X3149),X3148)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X3150,X3149),c_Polynomial_Odegree(X3150,X3148)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3150),hAPP(c_Polynomial_Ocoeff(X3150,X3149),c_Polynomial_Odegree(X3150,X3149))),hAPP(c_Polynomial_Ocoeff(X3150,X3148),c_Polynomial_Odegree(X3150,X3148)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__mult__degree__sum])])).
% 247.18/174.24  fof(i_0_1356, plain, ![X3340, X3341, X3342, X3343, X3345]:(((c_Rings_Odvd__class_Odvd(X3342,X3340,c_Groups_Oplus__class_Oplus(X3342,esk8_3(X3340,X3341,X3342),c_Groups_Ozero__class_Ozero(X3342)))|~hBOOL(hAPP(X3341,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3342),X3340),X3343)))|(~class_Rings_Odvd(X3342)|~class_Rings_Osemiring__0(X3342)))&(hBOOL(hAPP(X3341,esk8_3(X3340,X3341,X3342)))|~hBOOL(hAPP(X3341,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3342),X3340),X3343)))|(~class_Rings_Odvd(X3342)|~class_Rings_Osemiring__0(X3342))))&(~c_Rings_Odvd__class_Odvd(X3342,X3340,c_Groups_Oplus__class_Oplus(X3342,X3345,c_Groups_Ozero__class_Ozero(X3342)))|~hBOOL(hAPP(X3341,X3345))|hBOOL(hAPP(X3341,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3342),X3340),esk9_3(X3340,X3341,X3342))))|(~class_Rings_Odvd(X3342)|~class_Rings_Osemiring__0(X3342)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_unity__coeff__ex])])])])])).
% 247.18/174.24  fof(i_0_1357, plain, ![X3645, X3646, X3647, X3648]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3648),X3647),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3646),X3647),X3645))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3648,X3646)),X3647),X3645), inference(variable_rename,[status(thm)],[fact_left__add__mult__distrib])).
% 247.18/174.24  fof(i_0_1358, plain, ![X5324, X5325, X5326, X5327]:(~class_Divides_Osemiring__div(X5327)|c_Divides_Odiv__class_Omod(X5327,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5327),X5326),X5325),X5324)=c_Divides_Odiv__class_Omod(X5327,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5327),c_Divides_Odiv__class_Omod(X5327,X5326,X5324)),c_Divides_Odiv__class_Omod(X5327,X5325,X5324)),X5324)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__mult__eq])])).
% 247.18/174.24  fof(i_0_1359, plain, ![X5119, X5120, X5121, X5122, X5123]:(~class_Fields_Ofield(X5123)|(X5122=c_Groups_Ozero__class_Ozero(X5123)|(X5121=c_Groups_Ozero__class_Ozero(X5123)|c_Groups_Ominus__class_Ominus(X5123,c_Rings_Oinverse__class_Odivide(X5123,X5120,X5122),c_Rings_Oinverse__class_Odivide(X5123,X5119,X5121))=c_Rings_Oinverse__class_Odivide(X5123,c_Groups_Ominus__class_Ominus(X5123,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5123),X5120),X5121),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5123),X5119),X5122)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5123),X5122),X5121))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__frac__eq])])).
% 247.18/174.24  fof(i_0_1360, plain, ![X5106, X5107, X5108, X5109, X5110]:(~class_Fields_Ofield(X5110)|(X5109=c_Groups_Ozero__class_Ozero(X5110)|(X5108=c_Groups_Ozero__class_Ozero(X5110)|c_Groups_Oplus__class_Oplus(X5110,c_Rings_Oinverse__class_Odivide(X5110,X5107,X5109),c_Rings_Oinverse__class_Odivide(X5110,X5106,X5108))=c_Rings_Oinverse__class_Odivide(X5110,c_Groups_Oplus__class_Oplus(X5110,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5110),X5107),X5108),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5110),X5106),X5109)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5110),X5109),X5108))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__frac__eq])])).
% 247.18/174.24  fof(i_0_1361, plain, ![X4695, X4696, X4697]:((~c_Orderings_Oord__class_Oless(X4697,c_Groups_Ozero__class_Ozero(X4697),c_Groups_Oplus__class_Oplus(X4697,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4697),X4696),X4696),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4697),X4695),X4695)))|(X4696!=c_Groups_Ozero__class_Ozero(X4697)|X4695!=c_Groups_Ozero__class_Ozero(X4697))|~class_Rings_Olinordered__ring__strict(X4697))&((X4696=c_Groups_Ozero__class_Ozero(X4697)|c_Orderings_Oord__class_Oless(X4697,c_Groups_Ozero__class_Ozero(X4697),c_Groups_Oplus__class_Oplus(X4697,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4697),X4696),X4696),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4697),X4695),X4695)))|~class_Rings_Olinordered__ring__strict(X4697))&(X4695=c_Groups_Ozero__class_Ozero(X4697)|c_Orderings_Oord__class_Oless(X4697,c_Groups_Ozero__class_Ozero(X4697),c_Groups_Oplus__class_Oplus(X4697,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4697),X4696),X4696),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4697),X4695),X4695)))|~class_Rings_Olinordered__ring__strict(X4697)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sum__squares__gt__zero__iff])])])).
% 247.18/174.24  fof(i_0_1362, plain, ![X3384, X3385, X3386, X3387, X3388]:(~class_Rings_Ocomm__semiring__1(X3388)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3388),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3388),X3387),X3386)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3388),X3385),X3384))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3388),X3385),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3388),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3388),X3387),X3386)),X3384))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I15_J])])).
% 247.18/174.24  fof(i_0_1363, plain, ![X4698, X4699, X4700]:(~class_Rings_Olinordered__ring(X4700)|~c_Orderings_Oord__class_Oless(X4700,c_Groups_Oplus__class_Oplus(X4700,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4700),X4699),X4699),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4700),X4698),X4698)),c_Groups_Ozero__class_Ozero(X4700))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1178])])).
% 247.18/174.24  cnf(i_0_1364, plain, (hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Nat_OSuc(X5))=hAPP(hAPP(X3,X4),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5))), inference(split_conjunct,[status(thm)],[i_0_1179])).
% 247.18/174.24  cnf(i_0_1365, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3)),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X3),X2)), inference(split_conjunct,[status(thm)],[i_0_1180])).
% 247.18/174.24  fof(i_0_1366, plain, ![X3223, X3224, X3225, X3226]:(~class_Rings_Ocomm__semiring__0(X3226)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3226)),c_Polynomial_OpCons(X3226,X3225,X3224)),X3223)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3226),c_Polynomial_Osmult(X3226,X3225,X3223),c_Polynomial_OpCons(X3226,c_Groups_Ozero__class_Ozero(X3226),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3226)),X3224),X3223)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pCons__left])])).
% 247.18/174.24  fof(i_0_1367, plain, ![X4035, X4036, X4037]:((hAPP(c_Polynomial_Opoly(X4037,X4036),X4035)!=c_Groups_Ozero__class_Ozero(X4037)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4037),c_Polynomial_OpCons(X4037,c_Groups_Ouminus__class_Ouminus(X4037,X4035),c_Polynomial_OpCons(X4037,c_Groups_Oone__class_Oone(X4037),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4037)))),X4036)|~class_Rings_Oidom(X4037))&(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4037),c_Polynomial_OpCons(X4037,c_Groups_Ouminus__class_Ouminus(X4037,X4035),c_Polynomial_OpCons(X4037,c_Groups_Oone__class_Oone(X4037),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4037)))),X4036)|hAPP(c_Polynomial_Opoly(X4037,X4036),X4035)=c_Groups_Ozero__class_Ozero(X4037)|~class_Rings_Oidom(X4037))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__eq__0__iff__dvd])])])).
% 247.18/174.24  fof(i_0_1368, plain, ![X3253, X3254, X3255, X3256]:(~class_Rings_Ocomm__semiring__0(X3256)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3256,c_Polynomial_OpCons(X3256,X3255,X3254),X3253)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3256),c_Polynomial_Osmult(X3256,X3253,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3256,X3254,X3253)),c_Polynomial_OpCons(X3256,X3255,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3256,X3254,X3253)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__pCons])])).
% 247.18/174.24  fof(i_0_1369, plain, ![X4320, X4321, X4322]:(~class_Groups_Omonoid__mult(X4322)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4321)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4322),hAPP(hAPP(c_Power_Opower__class_Opower(X4322),X4320),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4321,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X4320)=hAPP(hAPP(c_Power_Opower__class_Opower(X4322),X4320),X4321))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__minus__mult])])).
% 247.18/174.24  cnf(i_0_1370, plain, (X2=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X1)),X2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X1)),X3)), inference(split_conjunct,[status(thm)],[i_0_1181])).
% 247.18/174.24  fof(i_0_1371, plain, ![X4032, X4033, X4034]:((~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4034),c_Polynomial_OpCons(X4034,X4033,c_Polynomial_OpCons(X4034,c_Groups_Oone__class_Oone(X4034),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4034)))),X4032)|hAPP(c_Polynomial_Opoly(X4034,X4032),c_Groups_Ouminus__class_Ouminus(X4034,X4033))=c_Groups_Ozero__class_Ozero(X4034)|~class_Rings_Oidom(X4034))&(hAPP(c_Polynomial_Opoly(X4034,X4032),c_Groups_Ouminus__class_Ouminus(X4034,X4033))!=c_Groups_Ozero__class_Ozero(X4034)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4034),c_Polynomial_OpCons(X4034,X4033,c_Polynomial_OpCons(X4034,c_Groups_Oone__class_Oone(X4034),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4034)))),X4032)|~class_Rings_Oidom(X4034))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__iff__poly__eq__0])])])).
% 247.18/174.24  fof(i_0_1372, plain, ![X3497, X3498, X3499, X3500, X3501]:((X3500=X3499|X3498=X3497|c_Groups_Oplus__class_Oplus(X3501,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3501),X3500),X3498),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3501),X3499),X3497))!=c_Groups_Oplus__class_Oplus(X3501,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3501),X3500),X3497),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3501),X3499),X3498))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3501))&((X3500!=X3499|c_Groups_Oplus__class_Oplus(X3501,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3501),X3500),X3498),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3501),X3499),X3497))=c_Groups_Oplus__class_Oplus(X3501,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3501),X3500),X3497),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3501),X3499),X3498))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3501))&(X3498!=X3497|c_Groups_Oplus__class_Oplus(X3501,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3501),X3500),X3498),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3501),X3499),X3497))=c_Groups_Oplus__class_Oplus(X3501,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3501),X3500),X3497),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3501),X3499),X3498))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3501)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_crossproduct__noteq])])])).
% 247.18/174.24  fof(i_0_1373, plain, ![X3475, X3476, X3477, X3478, X3479]:((c_Groups_Oplus__class_Oplus(X3479,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3479),X3478),X3477),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3479),X3476),X3475))!=c_Groups_Oplus__class_Oplus(X3479,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3479),X3478),X3475),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3479),X3476),X3477))|(X3478=X3476|X3477=X3475)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3479))&((X3478!=X3476|c_Groups_Oplus__class_Oplus(X3479,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3479),X3478),X3477),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3479),X3476),X3475))=c_Groups_Oplus__class_Oplus(X3479,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3479),X3478),X3475),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3479),X3476),X3477))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3479))&(X3477!=X3475|c_Groups_Oplus__class_Oplus(X3479,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3479),X3478),X3477),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3479),X3476),X3475))=c_Groups_Oplus__class_Oplus(X3479,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3479),X3478),X3475),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3479),X3476),X3477))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3479)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_crossproduct__eq])])])).
% 247.18/174.24  cnf(i_0_1374, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|X1!=c_Groups_Ouminus__class_Ouminus(X2,X3)|~class_Rings_Oidom(X2)), inference(split_conjunct,[status(thm)],[i_0_1177])).
% 247.18/174.24  fof(i_0_1375, plain, ![X5511, X5512, X5513, X5514, X5515]:(~class_Divides_Osemiring__div(X5515)|(~c_Rings_Odvd__class_Odvd(X5515,X5514,X5513)|(~c_Rings_Odvd__class_Odvd(X5515,X5512,X5511)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5515),c_Divides_Odiv__class_Odiv(X5515,X5513,X5514)),c_Divides_Odiv__class_Odiv(X5515,X5511,X5512))=c_Divides_Odiv__class_Odiv(X5515,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5515),X5513),X5511),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5515),X5514),X5512))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__div__if__dvd])])).
% 247.18/174.24  cnf(i_0_1376, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)), inference(split_conjunct,[status(thm)],[i_0_1182])).
% 247.18/174.24  fof(i_0_1377, plain, ![X3227, X3228, X3229, X3230]:(~class_Rings_Ocomm__semiring__0(X3230)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3230)),X3229),c_Polynomial_OpCons(X3230,X3228,X3227))=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3230),c_Polynomial_Osmult(X3230,X3228,X3229),c_Polynomial_OpCons(X3230,c_Groups_Ozero__class_Ozero(X3230),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3230)),X3229),X3227)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pCons__right])])).
% 247.18/174.24  fof(i_0_1378, plain, ![X4013, X4014, X4015]:(~class_Rings_Oring__1(X4015)|hAPP(hAPP(c_Power_Opower__class_Opower(X4015),c_Groups_Ouminus__class_Ouminus(X4015,X4014)),X4013)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4015),hAPP(hAPP(c_Power_Opower__class_Opower(X4015),c_Groups_Ouminus__class_Ouminus(X4015,c_Groups_Oone__class_Oone(X4015))),X4013)),hAPP(hAPP(c_Power_Opower__class_Opower(X4015),X4014),X4013))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__minus])])).
% 247.18/174.24  fof(i_0_1379, plain, ![X5082, X5083, X5084, X5085]:(((~c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5083)|c_Orderings_Oord__class_Oless(X5085,X5084,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5085),X5082),X5083))|~c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085))&((~c_Orderings_Oord__class_Oless(X5085,X5083,c_Groups_Ozero__class_Ozero(X5085))|c_Orderings_Oord__class_Oless(X5085,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5085),X5082),X5083),X5084)|c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5083)|~c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085))&(c_Orderings_Oord__class_Oless(X5085,X5083,c_Groups_Ozero__class_Ozero(X5085))|c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5082)|c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5083)|~c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085))))&(((~c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5083)|c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5083)|c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085))&(((~c_Orderings_Oord__class_Oless(X5085,X5083,c_Groups_Ozero__class_Ozero(X5085))|c_Orderings_Oord__class_Oless(X5085,X5083,c_Groups_Ozero__class_Ozero(X5085))|c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5083)|c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085))&(~c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5082)|c_Orderings_Oord__class_Oless(X5085,X5083,c_Groups_Ozero__class_Ozero(X5085))|c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5083)|c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085)))&((~c_Orderings_Oord__class_Oless(X5085,X5083,c_Groups_Ozero__class_Ozero(X5085))|~c_Orderings_Oord__class_Oless(X5085,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5085),X5082),X5083),X5084)|c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5083)|c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085))&(~c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5082)|~c_Orderings_Oord__class_Oless(X5085,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5085),X5082),X5083),X5084)|c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5083)|c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085)))))&((~c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5083)|~c_Orderings_Oord__class_Oless(X5085,X5084,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5085),X5082),X5083))|c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085))&(((~c_Orderings_Oord__class_Oless(X5085,X5083,c_Groups_Ozero__class_Ozero(X5085))|c_Orderings_Oord__class_Oless(X5085,X5083,c_Groups_Ozero__class_Ozero(X5085))|~c_Orderings_Oord__class_Oless(X5085,X5084,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5085),X5082),X5083))|c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085))&(~c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5082)|c_Orderings_Oord__class_Oless(X5085,X5083,c_Groups_Ozero__class_Ozero(X5085))|~c_Orderings_Oord__class_Oless(X5085,X5084,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5085),X5082),X5083))|c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085)))&((~c_Orderings_Oord__class_Oless(X5085,X5083,c_Groups_Ozero__class_Ozero(X5085))|~c_Orderings_Oord__class_Oless(X5085,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5085),X5082),X5083),X5084)|~c_Orderings_Oord__class_Oless(X5085,X5084,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5085),X5082),X5083))|c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085))&(~c_Orderings_Oord__class_Oless(X5085,c_Groups_Ozero__class_Ozero(X5085),X5082)|~c_Orderings_Oord__class_Oless(X5085,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5085),X5082),X5083),X5084)|~c_Orderings_Oord__class_Oless(X5085,X5084,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5085),X5082),X5083))|c_Orderings_Oord__class_Oless(X5085,c_Rings_Oinverse__class_Odivide(X5085,X5084,X5083),X5082)|~class_Fields_Olinordered__field__inverse__zero(X5085))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1183])])])).
% 247.18/174.24  fof(i_0_1380, plain, ![X5086, X5087, X5088, X5089]:(((~c_Orderings_Oord__class_Oless(X5089,c_Groups_Ozero__class_Ozero(X5089),X5086)|c_Orderings_Oord__class_Oless(X5089,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5089),X5088),X5086),X5087)|~c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089))&((~c_Orderings_Oord__class_Oless(X5089,X5086,c_Groups_Ozero__class_Ozero(X5089))|c_Orderings_Oord__class_Oless(X5089,X5087,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5089),X5088),X5086))|c_Orderings_Oord__class_Oless(X5089,c_Groups_Ozero__class_Ozero(X5089),X5086)|~c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089))&(c_Orderings_Oord__class_Oless(X5089,X5086,c_Groups_Ozero__class_Ozero(X5089))|c_Orderings_Oord__class_Oless(X5089,X5088,c_Groups_Ozero__class_Ozero(X5089))|c_Orderings_Oord__class_Oless(X5089,c_Groups_Ozero__class_Ozero(X5089),X5086)|~c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089))))&(((~c_Orderings_Oord__class_Oless(X5089,c_Groups_Ozero__class_Ozero(X5089),X5086)|c_Orderings_Oord__class_Oless(X5089,c_Groups_Ozero__class_Ozero(X5089),X5086)|c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089))&(((~c_Orderings_Oord__class_Oless(X5089,X5086,c_Groups_Ozero__class_Ozero(X5089))|c_Orderings_Oord__class_Oless(X5089,X5086,c_Groups_Ozero__class_Ozero(X5089))|c_Orderings_Oord__class_Oless(X5089,c_Groups_Ozero__class_Ozero(X5089),X5086)|c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089))&(~c_Orderings_Oord__class_Oless(X5089,X5088,c_Groups_Ozero__class_Ozero(X5089))|c_Orderings_Oord__class_Oless(X5089,X5086,c_Groups_Ozero__class_Ozero(X5089))|c_Orderings_Oord__class_Oless(X5089,c_Groups_Ozero__class_Ozero(X5089),X5086)|c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089)))&((~c_Orderings_Oord__class_Oless(X5089,X5086,c_Groups_Ozero__class_Ozero(X5089))|~c_Orderings_Oord__class_Oless(X5089,X5087,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5089),X5088),X5086))|c_Orderings_Oord__class_Oless(X5089,c_Groups_Ozero__class_Ozero(X5089),X5086)|c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089))&(~c_Orderings_Oord__class_Oless(X5089,X5088,c_Groups_Ozero__class_Ozero(X5089))|~c_Orderings_Oord__class_Oless(X5089,X5087,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5089),X5088),X5086))|c_Orderings_Oord__class_Oless(X5089,c_Groups_Ozero__class_Ozero(X5089),X5086)|c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089)))))&((~c_Orderings_Oord__class_Oless(X5089,c_Groups_Ozero__class_Ozero(X5089),X5086)|~c_Orderings_Oord__class_Oless(X5089,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5089),X5088),X5086),X5087)|c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089))&(((~c_Orderings_Oord__class_Oless(X5089,X5086,c_Groups_Ozero__class_Ozero(X5089))|c_Orderings_Oord__class_Oless(X5089,X5086,c_Groups_Ozero__class_Ozero(X5089))|~c_Orderings_Oord__class_Oless(X5089,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5089),X5088),X5086),X5087)|c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089))&(~c_Orderings_Oord__class_Oless(X5089,X5088,c_Groups_Ozero__class_Ozero(X5089))|c_Orderings_Oord__class_Oless(X5089,X5086,c_Groups_Ozero__class_Ozero(X5089))|~c_Orderings_Oord__class_Oless(X5089,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5089),X5088),X5086),X5087)|c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089)))&((~c_Orderings_Oord__class_Oless(X5089,X5086,c_Groups_Ozero__class_Ozero(X5089))|~c_Orderings_Oord__class_Oless(X5089,X5087,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5089),X5088),X5086))|~c_Orderings_Oord__class_Oless(X5089,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5089),X5088),X5086),X5087)|c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089))&(~c_Orderings_Oord__class_Oless(X5089,X5088,c_Groups_Ozero__class_Ozero(X5089))|~c_Orderings_Oord__class_Oless(X5089,X5087,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5089),X5088),X5086))|~c_Orderings_Oord__class_Oless(X5089,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5089),X5088),X5086),X5087)|c_Orderings_Oord__class_Oless(X5089,X5088,c_Rings_Oinverse__class_Odivide(X5089,X5087,X5086))|~class_Fields_Olinordered__field__inverse__zero(X5089))))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1184])])])).
% 247.18/174.24  fof(i_0_1381, plain, ![X5374, X5375, X5376, X5377]:(~class_Divides_Oring__div(X5377)|c_Divides_Odiv__class_Omod(X5377,c_Groups_Ominus__class_Ominus(X5377,X5376,X5375),X5374)=c_Divides_Odiv__class_Omod(X5377,c_Groups_Ominus__class_Ominus(X5377,c_Divides_Odiv__class_Omod(X5377,X5376,X5374),c_Divides_Odiv__class_Omod(X5377,X5375,X5374)),X5374)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__diff__eq])])).
% 247.18/174.24  fof(i_0_1382, plain, ![X5350, X5351, X5352, X5353]:(~class_Divides_Osemiring__div(X5353)|c_Divides_Odiv__class_Omod(X5353,c_Groups_Oplus__class_Oplus(X5353,X5352,X5351),X5350)=c_Divides_Odiv__class_Omod(X5353,c_Groups_Oplus__class_Oplus(X5353,c_Divides_Odiv__class_Omod(X5353,X5352,X5350),c_Divides_Odiv__class_Omod(X5353,X5351,X5350)),X5350)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__add__eq])])).
% 247.18/174.24  fof(i_0_1383, plain, ![X5281, X5282, X5283, X5284, X5285, X5286, X5287, X5288]:(((X5281!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X5283,X5282))|~hBOOL(hAPP(X5283,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5282,X5281))))&(X5281=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5285,X5281)|(X5282!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5281),X5284),X5285)|hBOOL(hAPP(X5283,X5285))))|~hBOOL(hAPP(X5283,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5282,X5281)))))&(((X5286!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X5286=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X5288,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5287,X5286))))&((c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk23_3(X5286,X5287,X5288),X5286)|X5286=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X5288,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5287,X5286))))&((X5287=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5286),esk22_3(X5286,X5287,X5288)),esk23_3(X5286,X5287,X5288))|X5286=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X5288,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5287,X5286))))&(~hBOOL(hAPP(X5288,esk23_3(X5286,X5287,X5288)))|X5286=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X5288,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5287,X5286)))))))&((X5286!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(X5288,X5287))|hBOOL(hAPP(X5288,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5287,X5286))))&((c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk23_3(X5286,X5287,X5288),X5286)|~hBOOL(hAPP(X5288,X5287))|hBOOL(hAPP(X5288,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5287,X5286))))&((X5287=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5286),esk22_3(X5286,X5287,X5288)),esk23_3(X5286,X5287,X5288))|~hBOOL(hAPP(X5288,X5287))|hBOOL(hAPP(X5288,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5287,X5286))))&(~hBOOL(hAPP(X5288,esk23_3(X5286,X5287,X5288)))|~hBOOL(hAPP(X5288,X5287))|hBOOL(hAPP(X5288,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5287,X5286))))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__mod])])])])])])).
% 247.18/174.24  fof(i_0_1384, plain, ![X5312, X5313, X5314, X5315]:(~class_Divides_Osemiring__div(X5315)|c_Divides_Odiv__class_Omod(X5315,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5315),c_Divides_Odiv__class_Omod(X5315,X5314,X5313)),X5312),X5313)=c_Divides_Odiv__class_Omod(X5315,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5315),X5314),X5312),X5313)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmod__simps_I4_J])])).
% 247.18/174.24  fof(i_0_1385, plain, ![X5328, X5329, X5330, X5331]:(~class_Divides_Osemiring__div(X5331)|c_Divides_Odiv__class_Omod(X5331,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5331),X5330),X5329),X5328)=c_Divides_Odiv__class_Omod(X5331,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5331),c_Divides_Odiv__class_Omod(X5331,X5330,X5328)),X5329),X5328)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__mult__left__eq])])).
% 247.18/174.24  fof(i_0_1386, plain, ![X3129, X3130, X3131, X3132]:(~class_Rings_Ocomm__semiring__0(X3132)|c_Polynomial_Opcompose(X3132,c_Polynomial_OpCons(X3132,X3131,X3130),X3129)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3132),c_Polynomial_OpCons(X3132,X3131,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3132))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3132)),X3129),c_Polynomial_Opcompose(X3132,X3130,X3129)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pcompose__pCons])])).
% 247.18/174.24  fof(i_0_1387, plain, ![X5124, X5125, X5126]:(~class_Fields_Olinordered__field(X5126)|(~c_Orderings_Oord__class_Oless(X5126,X5125,X5124)|c_Orderings_Oord__class_Oless(X5126,c_Rings_Oinverse__class_Odivide(X5126,c_Groups_Oplus__class_Oplus(X5126,X5125,X5124),c_Groups_Oplus__class_Oplus(X5126,c_Groups_Oone__class_Oone(X5126),c_Groups_Oone__class_Oone(X5126))),X5124))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_gt__half__sum])])).
% 247.18/174.24  fof(i_0_1388, plain, ![X5127, X5128, X5129]:(~class_Fields_Olinordered__field(X5129)|(~c_Orderings_Oord__class_Oless(X5129,X5128,X5127)|c_Orderings_Oord__class_Oless(X5129,X5128,c_Rings_Oinverse__class_Odivide(X5129,c_Groups_Oplus__class_Oplus(X5129,X5128,X5127),c_Groups_Oplus__class_Oplus(X5129,c_Groups_Oone__class_Oone(X5129),c_Groups_Oone__class_Oone(X5129)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__half__sum])])).
% 247.18/174.24  fof(i_0_1389, plain, ![X3379, X3380, X3381, X3382, X3383]:(~class_Rings_Ocomm__semiring__1(X3383)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3383),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3383),X3382),X3381)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3383),X3380),X3379))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3383),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3383),X3382),X3380)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3383),X3381),X3379))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I13_J])])).
% 247.18/174.24  fof(i_0_1390, plain, ![X3389, X3390, X3391, X3392, X3393]:(~class_Rings_Ocomm__semiring__1(X3393)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3393),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3393),X3392),X3391)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3393),X3390),X3389))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3393),X3392),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3393),X3391),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3393),X3390),X3389)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I14_J])])).
% 247.18/174.24  fof(i_0_1391, plain, ![X5054, X5055, X5056, X5057]:(~class_Fields_Olinordered__field(X5057)|(~c_Orderings_Oord__class_Oless(X5057,X5056,X5055)|(~c_Orderings_Oord__class_Oless(X5057,c_Groups_Ozero__class_Ozero(X5057),X5054)|(~c_Orderings_Oord__class_Oless(X5057,c_Groups_Ozero__class_Ozero(X5057),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5057),X5055),X5056))|c_Orderings_Oord__class_Oless(X5057,c_Rings_Oinverse__class_Odivide(X5057,X5054,X5055),c_Rings_Oinverse__class_Odivide(X5057,X5054,X5056)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__strict__left__mono])])).
% 247.18/174.24  fof(i_0_1392, plain, ![X5050, X5051, X5052, X5053]:(~class_Fields_Olinordered__field(X5053)|(~c_Orderings_Oord__class_Oless(X5053,X5052,X5051)|(~c_Orderings_Oord__class_Oless(X5053,X5050,c_Groups_Ozero__class_Ozero(X5053))|(~c_Orderings_Oord__class_Oless(X5053,c_Groups_Ozero__class_Ozero(X5053),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5053),X5052),X5051))|c_Orderings_Oord__class_Oless(X5053,c_Rings_Oinverse__class_Odivide(X5053,X5050,X5052),c_Rings_Oinverse__class_Odivide(X5053,X5050,X5051)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__strict__left__mono__neg])])).
% 247.18/174.24  cnf(i_0_1393, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X1),X2)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)), inference(split_conjunct,[status(thm)],[i_0_1185])).
% 247.18/174.24  fof(i_0_1394, plain, ![X5228, X5229, X5230]:c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5230,X5229)),X5228),X5229)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X5230),X5228),X5229), inference(variable_rename,[status(thm)],[fact_zpower__zmod])).
% 247.18/174.24  fof(i_0_1395, plain, ![X5587, X5588, X5589]:(~class_Divides_Osemiring__div(X5589)|c_Groups_Oplus__class_Oplus(X5589,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5589),c_Divides_Odiv__class_Odiv(X5589,X5588,X5587)),X5587),c_Divides_Odiv__class_Omod(X5589,X5588,X5587))=X5588), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__div__equality])])).
% 247.18/174.24  fof(i_0_1396, plain, ![X5593, X5594, X5595]:(~class_Divides_Osemiring__div(X5595)|c_Groups_Oplus__class_Oplus(X5595,c_Divides_Odiv__class_Omod(X5595,X5594,X5593),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5595),c_Divides_Odiv__class_Odiv(X5595,X5594,X5593)),X5593))=X5594), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_semiring__div__class_Omod__div__equality_H])])).
% 247.18/174.24  cnf(i_0_1397, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))), inference(split_conjunct,[status(thm)],[i_0_1186])).
% 247.18/174.24  fof(i_0_1398, plain, ![X3174, X3175, X3176, X3177]:(~class_Rings_Ocomm__semiring__0(X3177)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3177)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3177),X3176,X3175)),X3174)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3177),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3177)),X3176),X3174),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3177)),X3175),X3174))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__poly__add__left])])).
% 247.18/174.24  fof(i_0_1399, plain, ![X4746, X4747, X4748, X4749, X4750, X4751, X4752]:(((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4747,X4746)|hBOOL(hAPP(X4748,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X4748,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4747,X4746))))&(X4747!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4746,X4749)|hBOOL(hAPP(X4748,X4749))|~hBOOL(hAPP(X4748,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4747,X4746)))))&(((X4751=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4750,esk19_3(X4750,X4751,X4752))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4751,X4750)|hBOOL(hAPP(X4752,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4751,X4750))))&(~hBOOL(hAPP(X4752,esk19_3(X4750,X4751,X4752)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4751,X4750)|hBOOL(hAPP(X4752,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4751,X4750)))))&((X4751=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4750,esk19_3(X4750,X4751,X4752))|~hBOOL(hAPP(X4752,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|hBOOL(hAPP(X4752,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4751,X4750))))&(~hBOOL(hAPP(X4752,esk19_3(X4750,X4751,X4752)))|~hBOOL(hAPP(X4752,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|hBOOL(hAPP(X4752,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4751,X4750))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__diff__split])])])])])])).
% 247.18/174.24  fof(i_0_1400, plain, ![X4738, X4739, X4740, X4741, X4742, X4743, X4744]:(((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4739,X4738)|hBOOL(hAPP(X4740,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~hBOOL(hAPP(X4740,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4739,X4738))))&(X4739!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4738,X4741)|hBOOL(hAPP(X4740,X4741))|~hBOOL(hAPP(X4740,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4739,X4738)))))&(((X4743=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4742,esk18_3(X4742,X4743,X4744))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4743,X4742)|hBOOL(hAPP(X4744,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4743,X4742))))&(~hBOOL(hAPP(X4744,esk18_3(X4742,X4743,X4744)))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4743,X4742)|hBOOL(hAPP(X4744,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4743,X4742)))))&((X4743=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4742,esk18_3(X4742,X4743,X4744))|~hBOOL(hAPP(X4744,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|hBOOL(hAPP(X4744,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4743,X4742))))&(~hBOOL(hAPP(X4744,esk18_3(X4742,X4743,X4744)))|~hBOOL(hAPP(X4744,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|hBOOL(hAPP(X4744,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4743,X4742))))))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1187])])])])])])).
% 247.18/174.24  cnf(i_0_1401, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)), inference(split_conjunct,[status(thm)],[i_0_1188])).
% 247.18/174.24  cnf(i_0_1402, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X2)), inference(split_conjunct,[status(thm)],[i_0_1189])).
% 247.18/174.24  fof(i_0_1403, plain, ![X5368, X5369, X5370, X5371, X5372, X5373]:(~class_Divides_Oring__div(X5373)|(c_Divides_Odiv__class_Omod(X5373,X5372,X5371)!=c_Divides_Odiv__class_Omod(X5373,X5370,X5371)|(c_Divides_Odiv__class_Omod(X5373,X5369,X5371)!=c_Divides_Odiv__class_Omod(X5373,X5368,X5371)|c_Divides_Odiv__class_Omod(X5373,c_Groups_Ominus__class_Ominus(X5373,X5372,X5369),X5371)=c_Divides_Odiv__class_Omod(X5373,c_Groups_Ominus__class_Ominus(X5373,X5370,X5368),X5371)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__diff__cong])])).
% 247.18/174.24  fof(i_0_1404, plain, ![X5362, X5363, X5364, X5365, X5366, X5367]:(~class_Divides_Osemiring__div(X5367)|(c_Divides_Odiv__class_Omod(X5367,X5366,X5365)!=c_Divides_Odiv__class_Omod(X5367,X5364,X5365)|(c_Divides_Odiv__class_Omod(X5367,X5363,X5365)!=c_Divides_Odiv__class_Omod(X5367,X5362,X5365)|c_Divides_Odiv__class_Omod(X5367,c_Groups_Oplus__class_Oplus(X5367,X5366,X5363),X5365)=c_Divides_Odiv__class_Omod(X5367,c_Groups_Oplus__class_Oplus(X5367,X5364,X5362),X5365)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__add__cong])])).
% 247.18/174.24  fof(i_0_1405, plain, ![X3151, X3152, X3153, X3154, X3155]:(~class_Rings_Ocomm__semiring__0(X3155)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3155)),c_Polynomial_Omonom(X3155,X3154,X3153)),c_Polynomial_Omonom(X3155,X3152,X3151))=c_Polynomial_Omonom(X3155,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3155),X3154),X3152),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3153,X3151))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__monom])])).
% 247.18/174.24  fof(i_0_1406, plain, ![X5306, X5307, X5308, X5309, X5310, X5311]:(~class_Divides_Osemiring__div(X5311)|(c_Divides_Odiv__class_Omod(X5311,X5310,X5309)!=c_Divides_Odiv__class_Omod(X5311,X5308,X5309)|(c_Divides_Odiv__class_Omod(X5311,X5307,X5309)!=c_Divides_Odiv__class_Omod(X5311,X5306,X5309)|c_Divides_Odiv__class_Omod(X5311,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5311),X5310),X5307),X5309)=c_Divides_Odiv__class_Omod(X5311,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5311),X5308),X5306),X5309)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__mult__cong])])).
% 247.18/174.24  fof(i_0_1407, plain, ![X4760, X4761, X4762]:(~class_Rings_Olinordered__semidom(X4762)|(~c_Orderings_Oord__class_Oless(X4762,c_Groups_Ozero__class_Ozero(X4762),X4761)|(~c_Orderings_Oord__class_Oless(X4762,X4761,c_Groups_Oone__class_Oone(X4762))|c_Orderings_Oord__class_Oless(X4762,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4762),X4761),hAPP(hAPP(c_Power_Opower__class_Opower(X4762),X4761),X4760)),hAPP(hAPP(c_Power_Opower__class_Opower(X4762),X4761),X4760))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__Suc__less])])).
% 247.18/174.24  fof(i_0_1408, plain, ![X5492, X5493, X5494, X5495]:((~c_Rings_Odvd__class_Odvd(X5495,c_Divides_Odiv__class_Odiv(X5495,X5493,X5494),c_Divides_Odiv__class_Odiv(X5495,X5492,X5494))|c_Rings_Odvd__class_Odvd(X5495,X5493,X5492)|~c_Rings_Odvd__class_Odvd(X5495,X5494,X5492)|~c_Rings_Odvd__class_Odvd(X5495,X5494,X5493)|~class_Divides_Osemiring__div(X5495))&(~c_Rings_Odvd__class_Odvd(X5495,X5493,X5492)|c_Rings_Odvd__class_Odvd(X5495,c_Divides_Odiv__class_Odiv(X5495,X5493,X5494),c_Divides_Odiv__class_Odiv(X5495,X5492,X5494))|~c_Rings_Odvd__class_Odvd(X5495,X5494,X5492)|~c_Rings_Odvd__class_Odvd(X5495,X5494,X5493)|~class_Divides_Osemiring__div(X5495))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__dvd__div])])])).
% 247.18/174.24  fof(i_0_1409, plain, ![X4796]:((~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X4796),X4796),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,X4796,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))&(~c_Orderings_Oord__class_Oless(tc_Int_Oint,X4796,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X4796),X4796),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_odd__less__0])])).
% 247.18/174.24  cnf(i_0_1410, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X1),X2),c_Nat_OSuc(X3))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)), inference(split_conjunct,[status(thm)],[i_0_1190])).
% 247.18/174.24  fof(i_0_1411, plain, ![X5026, X5027, X5028, X5029, X5030]:(~class_Fields_Ofield__inverse__zero(X5030)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5030),c_Rings_Oinverse__class_Odivide(X5030,X5029,X5028)),c_Rings_Oinverse__class_Odivide(X5030,X5027,X5026))=c_Rings_Oinverse__class_Odivide(X5030,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5030),X5029),X5027),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5030),X5028),X5026))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_times__divide__times__eq])])).
% 247.18/174.24  fof(i_0_1412, plain, ![X3215, X3216, X3217, X3218]:(~class_Rings_Ocomm__semiring__0(X3218)|hAPP(c_Polynomial_Opoly(X3218,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3218)),X3217),X3216)),X3215)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3218),hAPP(c_Polynomial_Opoly(X3218,X3217),X3215)),hAPP(c_Polynomial_Opoly(X3218,X3216),X3215))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__mult])])).
% 247.18/174.24  fof(i_0_1413, plain, ![X4277, X4278]:((X4278!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4278),X4277)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(X4278=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4278),X4277)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4277,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4278,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X4277)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__eq__if])])).
% 247.18/174.24  fof(i_0_1414, plain, ![X5678, X5679, X5680, X5681, X5682]:(~class_Rings_Oordered__semiring(X5682)|(~c_Orderings_Oord__class_Oless__eq(X5682,X5681,X5680)|(~c_Orderings_Oord__class_Oless__eq(X5682,X5679,X5678)|(~c_Orderings_Oord__class_Oless__eq(X5682,c_Groups_Ozero__class_Ozero(X5682),X5681)|(~c_Orderings_Oord__class_Oless__eq(X5682,c_Groups_Ozero__class_Ozero(X5682),X5679)|c_Orderings_Oord__class_Oless__eq(X5682,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5682),X5681),X5679),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5682),X5680),X5678))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__mono_H])])).
% 247.18/174.24  fof(i_0_1415, plain, ![X5673, X5674, X5675, X5676, X5677]:(~class_Rings_Oordered__semiring(X5677)|(~c_Orderings_Oord__class_Oless__eq(X5677,X5676,X5675)|(~c_Orderings_Oord__class_Oless__eq(X5677,X5674,X5673)|(~c_Orderings_Oord__class_Oless__eq(X5677,c_Groups_Ozero__class_Ozero(X5677),X5675)|(~c_Orderings_Oord__class_Oless__eq(X5677,c_Groups_Ozero__class_Ozero(X5677),X5674)|c_Orderings_Oord__class_Oless__eq(X5677,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5677),X5676),X5674),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5677),X5675),X5673))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__mono])])).
% 247.18/174.24  fof(i_0_1416, plain, ![X5912, X5913, X5914, X5915, X5916]:(~class_Rings_Olinordered__semiring__strict(X5916)|(~c_Orderings_Oord__class_Oless(X5916,X5915,X5914)|(~c_Orderings_Oord__class_Oless__eq(X5916,X5913,X5912)|(~c_Orderings_Oord__class_Oless__eq(X5916,c_Groups_Ozero__class_Ozero(X5916),X5915)|(~c_Orderings_Oord__class_Oless(X5916,c_Groups_Ozero__class_Ozero(X5916),X5913)|c_Orderings_Oord__class_Oless(X5916,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5916),X5915),X5913),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5916),X5914),X5912))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__le__imp__less])])).
% 247.18/174.24  fof(i_0_1417, plain, ![X5917, X5918, X5919, X5920, X5921]:(~class_Rings_Olinordered__semiring__strict(X5921)|(~c_Orderings_Oord__class_Oless__eq(X5921,X5920,X5919)|(~c_Orderings_Oord__class_Oless(X5921,X5918,X5917)|(~c_Orderings_Oord__class_Oless(X5921,c_Groups_Ozero__class_Ozero(X5921),X5920)|(~c_Orderings_Oord__class_Oless__eq(X5921,c_Groups_Ozero__class_Ozero(X5921),X5918)|c_Orderings_Oord__class_Oless(X5921,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5921),X5920),X5918),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5921),X5919),X5917))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__less__imp__less])])).
% 247.18/174.24  fof(i_0_1418, plain, ![X5907, X5908, X5909, X5910, X5911]:(~class_Rings_Olinordered__semiring__strict(X5911)|(~c_Orderings_Oord__class_Oless(X5911,X5910,X5909)|(~c_Orderings_Oord__class_Oless(X5911,X5908,X5907)|(~c_Orderings_Oord__class_Oless__eq(X5911,c_Groups_Ozero__class_Ozero(X5911),X5910)|(~c_Orderings_Oord__class_Oless__eq(X5911,c_Groups_Ozero__class_Ozero(X5911),X5908)|c_Orderings_Oord__class_Oless(X5911,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5911),X5910),X5908),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5911),X5909),X5907))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__mono_H])])).
% 247.18/174.24  fof(i_0_1419, plain, ![X5902, X5903, X5904, X5905, X5906]:(~class_Rings_Olinordered__semiring__strict(X5906)|(~c_Orderings_Oord__class_Oless(X5906,X5905,X5904)|(~c_Orderings_Oord__class_Oless(X5906,X5903,X5902)|(~c_Orderings_Oord__class_Oless(X5906,c_Groups_Ozero__class_Ozero(X5906),X5904)|(~c_Orderings_Oord__class_Oless__eq(X5906,c_Groups_Ozero__class_Ozero(X5906),X5903)|c_Orderings_Oord__class_Oless(X5906,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5906),X5905),X5903),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5906),X5904),X5902))))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__mono])])).
% 247.18/174.24  fof(i_0_1420, plain, ![X3566, X3567, X3568]:(~class_Rings_Ocomm__semiring__0(X3568)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3568),X3567,c_Polynomial_Osmult(X3568,X3566,c_Polynomial_Osynthetic__div(X3568,X3567,X3566)))=c_Polynomial_OpCons(X3568,hAPP(c_Polynomial_Opoly(X3568,X3567),X3566),c_Polynomial_Osynthetic__div(X3568,X3567,X3566))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_synthetic__div__correct])])).
% 247.18/174.24  fof(i_0_1421, plain, ![X3550, X3551, X3552, X3553]:(~class_Groups_Ocomm__monoid__mult(X3553)|hAPP(hAPP(c_Power_Opower__class_Opower(X3553),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3553),X3552),X3551)),X3550)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3553),hAPP(hAPP(c_Power_Opower__class_Opower(X3553),X3552),X3550)),hAPP(hAPP(c_Power_Opower__class_Opower(X3553),X3551),X3550))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__mult__distrib])])).
% 247.18/174.24  fof(i_0_1422, plain, ![X3546, X3547, X3548, X3549]:(~class_Rings_Ocomm__semiring__1(X3549)|hAPP(hAPP(c_Power_Opower__class_Opower(X3549),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3549),X3548),X3547)),X3546)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3549),hAPP(hAPP(c_Power_Opower__class_Opower(X3549),X3548),X3546)),hAPP(hAPP(c_Power_Opower__class_Opower(X3549),X3547),X3546))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I30_J])])).
% 247.18/174.24  fof(i_0_1423, plain, ![X5497, X5498, X5499, X5500]:(~class_Divides_Osemiring__div(X5500)|(~c_Rings_Odvd__class_Odvd(X5500,X5499,X5498)|hAPP(hAPP(c_Power_Opower__class_Opower(X5500),c_Divides_Odiv__class_Odiv(X5500,X5498,X5499)),X5497)=c_Divides_Odiv__class_Odiv(X5500,hAPP(hAPP(c_Power_Opower__class_Opower(X5500),X5498),X5497),hAPP(hAPP(c_Power_Opower__class_Opower(X5500),X5499),X5497)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__power])])).
% 247.18/174.24  fof(i_0_1424, plain, ![X5449, X5450]:c_Divides_Odiv__class_Omod(tc_Int_Oint,X5450,X5449)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5450,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5450,X5449)),X5449)), inference(variable_rename,[status(thm)],[fact_zmod__zdiv__equality_H])).
% 247.18/174.24  fof(i_0_1425, plain, ![X5507, X5508, X5509, X5510]:(~class_Divides_Osemiring__div(X5510)|(~c_Rings_Odvd__class_Odvd(X5510,X5509,X5508)|(~c_Rings_Odvd__class_Odvd(X5510,X5509,X5507)|c_Divides_Odiv__class_Odiv(X5510,c_Groups_Oplus__class_Oplus(X5510,X5508,X5507),X5509)=c_Groups_Oplus__class_Oplus(X5510,c_Divides_Odiv__class_Odiv(X5510,X5508,X5509),c_Divides_Odiv__class_Odiv(X5510,X5507,X5509))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__add])])).
% 247.18/174.24  fof(i_0_1426, plain, ![X3892, X3893, X3894]:((~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3894,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3893,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3894),X3892)))|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3894,X3893))&(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3894,X3893)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3894,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3893,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3894),X3892))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdvd__reduce])])).
% 247.18/174.24  cnf(i_0_1427, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3)),c_Groups_Oone__class_Oone(X1))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oone__class_Oone(X1))), inference(split_conjunct,[status(thm)],[i_0_1191])).
% 247.18/174.24  fof(i_0_1428, plain, ![X4219, X4220]:(~class_Rings_Oring__1(X4220)|c_Groups_Ominus__class_Ominus(X4220,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4220),X4219),X4219),c_Groups_Oone__class_Oone(X4220))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4220),c_Groups_Oplus__class_Oplus(X4220,X4219,c_Groups_Oone__class_Oone(X4220))),c_Groups_Ominus__class_Ominus(X4220,X4219,c_Groups_Oone__class_Oone(X4220)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_real__squared__diff__one__factored])])).
% 247.18/174.24  fof(i_0_1429, plain, ![X4681, X4682, X4683, X4684]:(~class_Groups_Oab__group__add(X4684)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4684,X4683),X4682)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4684,X4681),X4682)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4684,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X4684),X4683,X4681)),X4682)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__diff__less])])).
% 247.18/174.24  fof(i_0_1430, plain, ![X4671, X4672, X4673, X4674]:(~class_Groups_Ocomm__monoid__add(X4674)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4674,X4673),X4672)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4674,X4671),X4672)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4674,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4674),X4673,X4671)),X4672)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__add__less])])).
% 247.18/174.24  fof(i_0_1431, plain, ![X3178, X3179, X3180, X3181]:(~class_Rings_Ocomm__semiring__0(X3181)|hAPP(c_Polynomial_Opoly(X3181,c_Polynomial_OpCons(X3181,X3180,X3179)),X3178)=c_Groups_Oplus__class_Oplus(X3181,X3180,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3181),X3178),hAPP(c_Polynomial_Opoly(X3181,X3179),X3178)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__pCons])])).
% 247.18/174.24  fof(i_0_1432, plain, ![X4714, X4715, X4716]:(~class_Rings_Olinordered__semidom(X4716)|(~c_Orderings_Oord__class_Oless(X4716,c_Groups_Oone__class_Oone(X4716),X4715)|c_Orderings_Oord__class_Oless(X4716,hAPP(hAPP(c_Power_Opower__class_Opower(X4716),X4715),X4714),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4716),X4715),hAPP(hAPP(c_Power_Opower__class_Opower(X4716),X4715),X4714))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__less__power__Suc])])).
% 247.18/174.24  fof(i_0_1433, plain, ![X5938, X5939, X5940, X5941]:(~class_Rings_Olinordered__semiring__strict(X5941)|(~c_Orderings_Oord__class_Oless__eq(X5941,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5941),X5940),X5939),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5941),X5938),X5939))|(~c_Orderings_Oord__class_Oless(X5941,c_Groups_Ozero__class_Ozero(X5941),X5939)|c_Orderings_Oord__class_Oless__eq(X5941,X5940,X5938)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__le__imp__le])])).
% 247.18/174.24  fof(i_0_1434, plain, ![X5942, X5943, X5944, X5945]:(~class_Rings_Olinordered__semiring__strict(X5945)|(~c_Orderings_Oord__class_Oless__eq(X5945,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5945),X5944),X5943),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5945),X5944),X5942))|(~c_Orderings_Oord__class_Oless(X5945,c_Groups_Ozero__class_Ozero(X5945),X5944)|c_Orderings_Oord__class_Oless__eq(X5945,X5943,X5942)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__le__imp__le])])).
% 247.18/174.24  fof(i_0_1435, plain, ![X5894, X5895, X5896, X5897]:((~c_Orderings_Oord__class_Oless__eq(X5897,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5897),X5896),X5895),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5897),X5896),X5894))|c_Orderings_Oord__class_Oless__eq(X5897,X5895,X5894)|~c_Orderings_Oord__class_Oless(X5897,c_Groups_Ozero__class_Ozero(X5897),X5896)|~class_Rings_Olinordered__ring__strict(X5897))&(~c_Orderings_Oord__class_Oless__eq(X5897,X5895,X5894)|c_Orderings_Oord__class_Oless__eq(X5897,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5897),X5896),X5895),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5897),X5896),X5894))|~c_Orderings_Oord__class_Oless(X5897,c_Groups_Ozero__class_Ozero(X5897),X5896)|~class_Rings_Olinordered__ring__strict(X5897))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__cancel__left__pos])])])).
% 247.18/174.24  fof(i_0_1436, plain, ![X5922, X5923, X5924, X5925]:(~class_Rings_Olinordered__semiring(X5925)|(~c_Orderings_Oord__class_Oless(X5925,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5925),X5924),X5923),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5925),X5922),X5923))|(~c_Orderings_Oord__class_Oless__eq(X5925,c_Groups_Ozero__class_Ozero(X5925),X5923)|c_Orderings_Oord__class_Oless(X5925,X5924,X5922)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__less__imp__less])])).
% 247.18/174.24  fof(i_0_1437, plain, ![X5926, X5927, X5928, X5929]:(~class_Rings_Olinordered__semiring__strict(X5929)|(~c_Orderings_Oord__class_Oless(X5929,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5929),X5928),X5927),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5929),X5926),X5927))|(~c_Orderings_Oord__class_Oless__eq(X5929,c_Groups_Ozero__class_Ozero(X5929),X5927)|c_Orderings_Oord__class_Oless(X5929,X5928,X5926)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__imp__less__right])])).
% 247.18/174.24  fof(i_0_1438, plain, ![X5930, X5931, X5932, X5933]:(~class_Rings_Olinordered__semiring(X5933)|(~c_Orderings_Oord__class_Oless(X5933,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5933),X5932),X5931),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5933),X5932),X5930))|(~c_Orderings_Oord__class_Oless__eq(X5933,c_Groups_Ozero__class_Ozero(X5933),X5932)|c_Orderings_Oord__class_Oless(X5933,X5931,X5930)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__less__imp__less])])).
% 247.18/174.24  fof(i_0_1439, plain, ![X5934, X5935, X5936, X5937]:(~class_Rings_Olinordered__semiring__strict(X5937)|(~c_Orderings_Oord__class_Oless(X5937,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5937),X5936),X5935),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5937),X5936),X5934))|(~c_Orderings_Oord__class_Oless__eq(X5937,c_Groups_Ozero__class_Ozero(X5937),X5936)|c_Orderings_Oord__class_Oless(X5937,X5935,X5934)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__imp__less__left])])).
% 247.18/174.24  fof(i_0_1440, plain, ![X4550, X4551, X4552, X4553]:((~c_Orderings_Oord__class_Oless(X4553,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4553),X4552),X4551),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4553),X4552),X4550))|c_Orderings_Oord__class_Oless(X4553,X4551,X4550)|~c_Orderings_Oord__class_Oless(X4553,c_Groups_Ozero__class_Ozero(X4553),X4552)|~class_Rings_Olinordered__ring__strict(X4553))&(~c_Orderings_Oord__class_Oless(X4553,X4551,X4550)|c_Orderings_Oord__class_Oless(X4553,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4553),X4552),X4551),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4553),X4552),X4550))|~c_Orderings_Oord__class_Oless(X4553,c_Groups_Ozero__class_Ozero(X4553),X4552)|~class_Rings_Olinordered__ring__strict(X4553))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__left__pos])])])).
% 247.18/174.24  fof(i_0_1441, plain, ![X5898, X5899, X5900, X5901]:((~c_Orderings_Oord__class_Oless__eq(X5901,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5901),X5900),X5899),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5901),X5900),X5898))|c_Orderings_Oord__class_Oless__eq(X5901,X5898,X5899)|~c_Orderings_Oord__class_Oless(X5901,X5900,c_Groups_Ozero__class_Ozero(X5901))|~class_Rings_Olinordered__ring__strict(X5901))&(~c_Orderings_Oord__class_Oless__eq(X5901,X5898,X5899)|c_Orderings_Oord__class_Oless__eq(X5901,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5901),X5900),X5899),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5901),X5900),X5898))|~c_Orderings_Oord__class_Oless(X5901,X5900,c_Groups_Ozero__class_Ozero(X5901))|~class_Rings_Olinordered__ring__strict(X5901))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__cancel__left__neg])])])).
% 247.18/174.24  fof(i_0_1442, plain, ![X4531, X4532, X4533, X4534]:((~c_Orderings_Oord__class_Oless(X4534,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4534),X4533),X4532),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4534),X4533),X4531))|c_Orderings_Oord__class_Oless(X4534,X4531,X4532)|~c_Orderings_Oord__class_Oless(X4534,X4533,c_Groups_Ozero__class_Ozero(X4534))|~class_Rings_Olinordered__ring__strict(X4534))&(~c_Orderings_Oord__class_Oless(X4534,X4531,X4532)|c_Orderings_Oord__class_Oless(X4534,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4534),X4533),X4532),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4534),X4533),X4531))|~c_Orderings_Oord__class_Oless(X4534,X4533,c_Groups_Ozero__class_Ozero(X4534))|~class_Rings_Olinordered__ring__strict(X4534))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__left__neg])])])).
% 247.18/174.24  fof(i_0_1443, plain, ![X5859, X5860, X5861, X5862]:(~class_Rings_Olinordered__semidom(X5862)|(~c_Orderings_Oord__class_Oless(X5862,c_Groups_Oone__class_Oone(X5862),X5861)|(~c_Orderings_Oord__class_Oless__eq(X5862,hAPP(hAPP(c_Power_Opower__class_Opower(X5862),X5861),X5860),hAPP(hAPP(c_Power_Opower__class_Opower(X5862),X5861),X5859))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5860,X5859)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__le__imp__le__exp])])).
% 247.18/174.24  fof(i_0_1444, plain, ![X5855, X5856, X5857, X5858]:((~c_Orderings_Oord__class_Oless__eq(X5858,hAPP(hAPP(c_Power_Opower__class_Opower(X5858),X5857),X5856),hAPP(hAPP(c_Power_Opower__class_Opower(X5858),X5857),X5855))|c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5856,X5855)|~c_Orderings_Oord__class_Oless(X5858,c_Groups_Oone__class_Oone(X5858),X5857)|~class_Rings_Olinordered__semidom(X5858))&(~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5856,X5855)|c_Orderings_Oord__class_Oless__eq(X5858,hAPP(hAPP(c_Power_Opower__class_Opower(X5858),X5857),X5856),hAPP(hAPP(c_Power_Opower__class_Opower(X5858),X5857),X5855))|~c_Orderings_Oord__class_Oless(X5858,c_Groups_Oone__class_Oone(X5858),X5857)|~class_Rings_Olinordered__semidom(X5858))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__increasing__iff])])])).
% 247.18/174.24  fof(i_0_1445, plain, ![X4479, X4480, X4481, X4482]:(~class_Rings_Olinordered__semidom(X4482)|(~c_Orderings_Oord__class_Oless(X4482,c_Groups_Oone__class_Oone(X4482),X4481)|(~c_Orderings_Oord__class_Oless(X4482,hAPP(hAPP(c_Power_Opower__class_Opower(X4482),X4481),X4480),hAPP(hAPP(c_Power_Opower__class_Opower(X4482),X4481),X4479))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4480,X4479)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__less__imp__less__exp])])).
% 247.18/174.24  fof(i_0_1446, plain, ![X4475, X4476, X4477, X4478]:((~c_Orderings_Oord__class_Oless(X4478,hAPP(hAPP(c_Power_Opower__class_Opower(X4478),X4477),X4476),hAPP(hAPP(c_Power_Opower__class_Opower(X4478),X4477),X4475))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4476,X4475)|~c_Orderings_Oord__class_Oless(X4478,c_Groups_Oone__class_Oone(X4478),X4477)|~class_Rings_Olinordered__semidom(X4478))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4476,X4475)|c_Orderings_Oord__class_Oless(X4478,hAPP(hAPP(c_Power_Opower__class_Opower(X4478),X4477),X4476),hAPP(hAPP(c_Power_Opower__class_Opower(X4478),X4477),X4475))|~c_Orderings_Oord__class_Oless(X4478,c_Groups_Oone__class_Oone(X4478),X4477)|~class_Rings_Olinordered__semidom(X4478))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__increasing__iff])])])).
% 247.18/174.24  fof(i_0_1447, plain, ![X4112, X4113, X4114, X4115, X4116]:(~class_Groups_Oab__group__add(X4116)|c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X4116),c_Polynomial_OpCons(X4116,X4115,X4114),c_Polynomial_OpCons(X4116,X4113,X4112))=c_Polynomial_OpCons(X4116,c_Groups_Ominus__class_Ominus(X4116,X4115,X4113),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X4116),X4114,X4112))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__pCons])])).
% 247.18/174.24  fof(i_0_1448, plain, ![X3156, X3157, X3158, X3159, X3160]:(~class_Groups_Ocomm__monoid__add(X3160)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3160),c_Polynomial_OpCons(X3160,X3159,X3158),c_Polynomial_OpCons(X3160,X3157,X3156))=c_Polynomial_OpCons(X3160,c_Groups_Oplus__class_Oplus(X3160,X3159,X3157),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3160),X3158,X3156))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__pCons])])).
% 247.18/174.24  fof(i_0_1449, plain, ![X3199, X3200, X3201, X3202]:(~class_Rings_Ocomm__semiring__1(X3202)|hAPP(c_Polynomial_Opoly(X3202,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X3202)),X3201),X3200)),X3199)=hAPP(hAPP(c_Power_Opower__class_Opower(X3202),hAPP(c_Polynomial_Opoly(X3202,X3201),X3199)),X3200)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__power])])).
% 247.18/174.24  fof(i_0_1450, plain, ![X4291, X4292, X4293, X4294, X4295]:(~class_Groups_Oab__group__add(X4295)|c_Groups_Ominus__class_Ominus(X4295,c_Groups_Oplus__class_Oplus(X4295,X4294,X4293),c_Groups_Oplus__class_Oplus(X4295,X4292,X4291))=c_Groups_Oplus__class_Oplus(X4295,c_Groups_Ominus__class_Ominus(X4295,X4294,X4292),c_Groups_Ominus__class_Ominus(X4295,X4293,X4291))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Deriv_Oadd__diff__add])])).
% 247.18/174.24  fof(i_0_1451, plain, ![X3413, X3414, X3415, X3416, X3417]:(~class_Rings_Ocomm__semiring__1(X3417)|c_Groups_Oplus__class_Oplus(X3417,c_Groups_Oplus__class_Oplus(X3417,X3416,X3415),c_Groups_Oplus__class_Oplus(X3417,X3414,X3413))=c_Groups_Oplus__class_Oplus(X3417,c_Groups_Oplus__class_Oplus(X3417,X3416,X3414),c_Groups_Oplus__class_Oplus(X3417,X3415,X3413))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I20_J])])).
% 247.18/174.24  fof(i_0_1452, plain, ![X5358, X5359, X5360, X5361]:(~class_Divides_Osemiring__div(X5361)|c_Divides_Odiv__class_Omod(X5361,c_Groups_Oplus__class_Oplus(X5361,c_Divides_Odiv__class_Omod(X5361,X5360,X5359),X5358),X5359)=c_Divides_Odiv__class_Omod(X5361,c_Groups_Oplus__class_Oplus(X5361,X5360,X5358),X5359)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmod__simps_I1_J])])).
% 247.18/174.24  fof(i_0_1453, plain, ![X5354, X5355, X5356, X5357]:(~class_Divides_Osemiring__div(X5357)|c_Divides_Odiv__class_Omod(X5357,c_Groups_Oplus__class_Oplus(X5357,X5356,c_Divides_Odiv__class_Omod(X5357,X5355,X5354)),X5354)=c_Divides_Odiv__class_Omod(X5357,c_Groups_Oplus__class_Oplus(X5357,X5356,X5355),X5354)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmod__simps_I2_J])])).
% 247.18/174.24  fof(i_0_1454, plain, ![X5378, X5379, X5380, X5381]:(~class_Divides_Oring__div(X5381)|c_Divides_Odiv__class_Omod(X5381,c_Groups_Ominus__class_Ominus(X5381,X5380,X5379),X5378)=c_Divides_Odiv__class_Omod(X5381,c_Groups_Ominus__class_Ominus(X5381,c_Divides_Odiv__class_Omod(X5381,X5380,X5378),X5379),X5378)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__diff__left__eq])])).
% 247.18/174.24  fof(i_0_1455, plain, ![X5346, X5347, X5348, X5349]:(~class_Divides_Osemiring__div(X5349)|c_Divides_Odiv__class_Omod(X5349,c_Groups_Oplus__class_Oplus(X5349,X5348,X5347),X5346)=c_Divides_Odiv__class_Omod(X5349,c_Groups_Oplus__class_Oplus(X5349,c_Divides_Odiv__class_Omod(X5349,X5348,X5346),X5347),X5346)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__add__left__eq])])).
% 247.18/174.24  fof(i_0_1456, plain, ![X5382, X5383, X5384, X5385]:(~class_Divides_Oring__div(X5385)|c_Divides_Odiv__class_Omod(X5385,c_Groups_Ominus__class_Ominus(X5385,X5384,X5383),X5382)=c_Divides_Odiv__class_Omod(X5385,c_Groups_Ominus__class_Ominus(X5385,X5384,c_Divides_Odiv__class_Omod(X5385,X5383,X5382)),X5382)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__diff__right__eq])])).
% 247.18/174.24  fof(i_0_1457, plain, ![X5342, X5343, X5344, X5345]:(~class_Divides_Osemiring__div(X5345)|c_Divides_Odiv__class_Omod(X5345,c_Groups_Oplus__class_Oplus(X5345,X5344,X5343),X5342)=c_Divides_Odiv__class_Omod(X5345,c_Groups_Oplus__class_Oplus(X5345,X5344,c_Divides_Odiv__class_Omod(X5345,X5343,X5342)),X5342)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__add__right__eq])])).
% 247.18/174.24  fof(i_0_1458, plain, ![X5851, X5852, X5853, X5854]:(~class_Rings_Olinordered__semidom(X5854)|(~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5853,X5852)|(~c_Orderings_Oord__class_Oless__eq(X5854,c_Groups_Ozero__class_Ozero(X5854),X5851)|(~c_Orderings_Oord__class_Oless__eq(X5854,X5851,c_Groups_Oone__class_Oone(X5854))|c_Orderings_Oord__class_Oless__eq(X5854,hAPP(hAPP(c_Power_Opower__class_Opower(X5854),X5851),X5852),hAPP(hAPP(c_Power_Opower__class_Opower(X5854),X5851),X5853)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__decreasing])])).
% 247.18/174.25  fof(i_0_1459, plain, ![X4487, X4488, X4489, X4490]:(~class_Rings_Olinordered__semidom(X4490)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4489,X4488)|(~c_Orderings_Oord__class_Oless(X4490,c_Groups_Ozero__class_Ozero(X4490),X4487)|(~c_Orderings_Oord__class_Oless(X4490,X4487,c_Groups_Oone__class_Oone(X4490))|c_Orderings_Oord__class_Oless(X4490,hAPP(hAPP(c_Power_Opower__class_Opower(X4490),X4487),X4488),hAPP(hAPP(c_Power_Opower__class_Opower(X4490),X4487),X4489)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__decreasing])])).
% 247.18/174.25  fof(i_0_1460, plain, ![X4044, X4045, X4046]:((X4045!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4046))|X4044!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4046))|hAPP(c_Polynomial_Ocoeff(X4046,c_Polynomial_Opoly__gcd(X4046,X4045,X4044)),c_Polynomial_Odegree(X4046,c_Polynomial_Opoly__gcd(X4046,X4045,X4044)))=c_Groups_Ozero__class_Ozero(X4046)|~class_Fields_Ofield(X4046))&((X4045=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4046))|hAPP(c_Polynomial_Ocoeff(X4046,c_Polynomial_Opoly__gcd(X4046,X4045,X4044)),c_Polynomial_Odegree(X4046,c_Polynomial_Opoly__gcd(X4046,X4045,X4044)))=c_Groups_Oone__class_Oone(X4046)|~class_Fields_Ofield(X4046))&(X4044=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4046))|hAPP(c_Polynomial_Ocoeff(X4046,c_Polynomial_Opoly__gcd(X4046,X4045,X4044)),c_Polynomial_Odegree(X4046,c_Polynomial_Opoly__gcd(X4046,X4045,X4044)))=c_Groups_Oone__class_Oone(X4046)|~class_Fields_Ofield(X4046)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd__monic])])])).
% 247.18/174.25  fof(i_0_1461, plain, ![X5556, X5557, X5558, X5559]:(~class_Divides_Osemiring__div(X5559)|(X5558=c_Groups_Ozero__class_Ozero(X5559)|c_Divides_Odiv__class_Odiv(X5559,c_Groups_Oplus__class_Oplus(X5559,X5557,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5559),X5558),X5556)),X5558)=c_Groups_Oplus__class_Oplus(X5559,X5556,c_Divides_Odiv__class_Odiv(X5559,X5557,X5558)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self2])])).
% 247.18/174.25  fof(i_0_1462, plain, ![X5560, X5561, X5562, X5563]:(~class_Divides_Osemiring__div(X5563)|(X5562=c_Groups_Ozero__class_Ozero(X5563)|c_Divides_Odiv__class_Odiv(X5563,c_Groups_Oplus__class_Oplus(X5563,X5561,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5563),X5560),X5562)),X5562)=c_Groups_Oplus__class_Oplus(X5563,X5560,c_Divides_Odiv__class_Odiv(X5563,X5561,X5562)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self1])])).
% 247.18/174.25  fof(i_0_1463, plain, ![X5115, X5116, X5117, X5118]:(~class_Fields_Ofield(X5118)|(X5117=c_Groups_Ozero__class_Ozero(X5118)|c_Groups_Ominus__class_Ominus(X5118,c_Rings_Oinverse__class_Odivide(X5118,X5116,X5117),X5115)=c_Rings_Oinverse__class_Odivide(X5118,c_Groups_Ominus__class_Ominus(X5118,X5116,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5118),X5117),X5115)),X5117))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__diff__eq__iff])])).
% 247.18/174.25  fof(i_0_1464, plain, ![X5102, X5103, X5104, X5105]:(~class_Fields_Ofield(X5105)|(X5104=c_Groups_Ozero__class_Ozero(X5105)|c_Groups_Oplus__class_Oplus(X5105,c_Rings_Oinverse__class_Odivide(X5105,X5103,X5104),X5102)=c_Rings_Oinverse__class_Odivide(X5105,c_Groups_Oplus__class_Oplus(X5105,X5103,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5105),X5104),X5102)),X5104))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__add__eq__iff])])).
% 247.18/174.25  fof(i_0_1465, plain, ![X5098, X5099, X5100, X5101]:(~class_Fields_Ofield__inverse__zero(X5101)|(X5100=c_Groups_Ozero__class_Ozero(X5101)|c_Groups_Oplus__class_Oplus(X5101,c_Rings_Oinverse__class_Odivide(X5101,X5099,X5100),X5098)=c_Rings_Oinverse__class_Odivide(X5101,c_Groups_Oplus__class_Oplus(X5101,X5099,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5101),X5098),X5100)),X5100))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__frac__num])])).
% 247.18/174.25  fof(i_0_1466, plain, ![X5111, X5112, X5113, X5114]:(~class_Fields_Ofield(X5114)|(X5113=c_Groups_Ozero__class_Ozero(X5114)|c_Groups_Ominus__class_Ominus(X5114,X5112,c_Rings_Oinverse__class_Odivide(X5114,X5111,X5113))=c_Rings_Oinverse__class_Odivide(X5114,c_Groups_Ominus__class_Ominus(X5114,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5114),X5113),X5112),X5111),X5113))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__divide__eq__iff])])).
% 247.18/174.25  fof(i_0_1467, plain, ![X5094, X5095, X5096, X5097]:(~class_Fields_Ofield(X5097)|(X5096=c_Groups_Ozero__class_Ozero(X5097)|c_Groups_Oplus__class_Oplus(X5097,X5095,c_Rings_Oinverse__class_Odivide(X5097,X5094,X5096))=c_Rings_Oinverse__class_Odivide(X5097,c_Groups_Oplus__class_Oplus(X5097,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5097),X5096),X5095),X5094),X5096))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__divide__eq__iff])])).
% 247.18/174.25  fof(i_0_1468, plain, ![X5090, X5091, X5092, X5093]:(~class_Fields_Ofield__inverse__zero(X5093)|(X5092=c_Groups_Ozero__class_Ozero(X5093)|c_Groups_Oplus__class_Oplus(X5093,X5091,c_Rings_Oinverse__class_Odivide(X5093,X5090,X5092))=c_Rings_Oinverse__class_Odivide(X5093,c_Groups_Oplus__class_Oplus(X5093,X5090,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5093),X5091),X5092)),X5092))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__num__frac])])).
% 247.18/174.25  fof(i_0_1469, plain, ![X4981, X4982, X4983, X4984]:(~class_Fields_Ofield(X4984)|(X4983=c_Groups_Ozero__class_Ozero(X4984)|hAPP(hAPP(c_Power_Opower__class_Opower(X4984),c_Rings_Oinverse__class_Odivide(X4984,X4982,X4983)),X4981)=c_Rings_Oinverse__class_Odivide(X4984,hAPP(hAPP(c_Power_Opower__class_Opower(X4984),X4982),X4981),hAPP(hAPP(c_Power_Opower__class_Opower(X4984),X4983),X4981)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__power__divide])])).
% 247.18/174.25  fof(i_0_1470, plain, ![X4554, X4555, X4556, X4557]:((((c_Orderings_Oord__class_Oless(X4557,X4556,c_Groups_Ozero__class_Ozero(X4557))|c_Orderings_Oord__class_Oless(X4557,c_Groups_Ozero__class_Ozero(X4557),X4556)|~c_Orderings_Oord__class_Oless(X4557,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4557),X4556),X4555),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4557),X4556),X4554))|~class_Rings_Olinordered__ring__strict(X4557))&(c_Orderings_Oord__class_Oless(X4557,X4554,X4555)|c_Orderings_Oord__class_Oless(X4557,c_Groups_Ozero__class_Ozero(X4557),X4556)|~c_Orderings_Oord__class_Oless(X4557,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4557),X4556),X4555),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4557),X4556),X4554))|~class_Rings_Olinordered__ring__strict(X4557)))&((c_Orderings_Oord__class_Oless(X4557,X4556,c_Groups_Ozero__class_Ozero(X4557))|c_Orderings_Oord__class_Oless(X4557,X4555,X4554)|~c_Orderings_Oord__class_Oless(X4557,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4557),X4556),X4555),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4557),X4556),X4554))|~class_Rings_Olinordered__ring__strict(X4557))&(c_Orderings_Oord__class_Oless(X4557,X4554,X4555)|c_Orderings_Oord__class_Oless(X4557,X4555,X4554)|~c_Orderings_Oord__class_Oless(X4557,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4557),X4556),X4555),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4557),X4556),X4554))|~class_Rings_Olinordered__ring__strict(X4557))))&((~c_Orderings_Oord__class_Oless(X4557,c_Groups_Ozero__class_Ozero(X4557),X4556)|~c_Orderings_Oord__class_Oless(X4557,X4555,X4554)|c_Orderings_Oord__class_Oless(X4557,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4557),X4556),X4555),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4557),X4556),X4554))|~class_Rings_Olinordered__ring__strict(X4557))&(~c_Orderings_Oord__class_Oless(X4557,X4556,c_Groups_Ozero__class_Ozero(X4557))|~c_Orderings_Oord__class_Oless(X4557,X4554,X4555)|c_Orderings_Oord__class_Oless(X4557,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4557),X4556),X4555),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4557),X4556),X4554))|~class_Rings_Olinordered__ring__strict(X4557)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__left__disj])])])).
% 247.18/174.25  fof(i_0_1471, plain, ![X4558, X4559, X4560, X4561]:((((c_Orderings_Oord__class_Oless(X4561,X4559,c_Groups_Ozero__class_Ozero(X4561))|c_Orderings_Oord__class_Oless(X4561,c_Groups_Ozero__class_Ozero(X4561),X4559)|~c_Orderings_Oord__class_Oless(X4561,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4561),X4560),X4559),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4561),X4558),X4559))|~class_Rings_Olinordered__ring__strict(X4561))&(c_Orderings_Oord__class_Oless(X4561,X4558,X4560)|c_Orderings_Oord__class_Oless(X4561,c_Groups_Ozero__class_Ozero(X4561),X4559)|~c_Orderings_Oord__class_Oless(X4561,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4561),X4560),X4559),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4561),X4558),X4559))|~class_Rings_Olinordered__ring__strict(X4561)))&((c_Orderings_Oord__class_Oless(X4561,X4559,c_Groups_Ozero__class_Ozero(X4561))|c_Orderings_Oord__class_Oless(X4561,X4560,X4558)|~c_Orderings_Oord__class_Oless(X4561,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4561),X4560),X4559),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4561),X4558),X4559))|~class_Rings_Olinordered__ring__strict(X4561))&(c_Orderings_Oord__class_Oless(X4561,X4558,X4560)|c_Orderings_Oord__class_Oless(X4561,X4560,X4558)|~c_Orderings_Oord__class_Oless(X4561,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4561),X4560),X4559),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4561),X4558),X4559))|~class_Rings_Olinordered__ring__strict(X4561))))&((~c_Orderings_Oord__class_Oless(X4561,c_Groups_Ozero__class_Ozero(X4561),X4559)|~c_Orderings_Oord__class_Oless(X4561,X4560,X4558)|c_Orderings_Oord__class_Oless(X4561,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4561),X4560),X4559),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4561),X4558),X4559))|~class_Rings_Olinordered__ring__strict(X4561))&(~c_Orderings_Oord__class_Oless(X4561,X4559,c_Groups_Ozero__class_Ozero(X4561))|~c_Orderings_Oord__class_Oless(X4561,X4558,X4560)|c_Orderings_Oord__class_Oless(X4561,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4561),X4560),X4559),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4561),X4558),X4559))|~class_Rings_Olinordered__ring__strict(X4561)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel__right__disj])])])).
% 247.18/174.25  fof(i_0_1472, plain, ![X5332, X5333, X5334, X5335]:(~class_Divides_Osemiring__div(X5335)|c_Divides_Odiv__class_Omod(X5335,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5335),X5334),X5333),X5332)=c_Divides_Odiv__class_Omod(X5335,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5335),X5334),c_Divides_Odiv__class_Omod(X5335,X5333,X5332)),X5332)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__mult__right__eq])])).
% 247.18/174.25  cnf(i_0_1473, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X1),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),X2)), inference(split_conjunct,[status(thm)],[i_0_1192])).
% 247.18/174.25  fof(i_0_1474, plain, ![X5316, X5317, X5318, X5319]:(~class_Divides_Osemiring__div(X5319)|c_Divides_Odiv__class_Omod(X5319,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5319),X5318),X5317),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5319),X5316),X5317))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5319),c_Divides_Odiv__class_Omod(X5319,X5318,X5316)),X5317)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__mult__mult2])])).
% 247.18/174.25  fof(i_0_1475, plain, ![X3485, X3486, X3487, X3488]:(~class_Rings_Ocomm__semiring__1(X3488)|c_Groups_Oplus__class_Oplus(X3488,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3488),X3487),X3486),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3488),X3485),X3486))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3488),c_Groups_Oplus__class_Oplus(X3488,X3487,X3485)),X3486)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I1_J])])).
% 247.18/174.25  fof(i_0_1476, plain, ![X4149, X4150, X4151, X4152]:(~class_RealVector_Oreal__normed__algebra(X4152)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4152),c_Groups_Ominus__class_Ominus(X4152,X4151,X4150)),X4149)=c_Groups_Ominus__class_Ominus(X4152,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4152),X4151),X4149),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4152),X4150),X4149))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Odiff])])).
% 247.18/174.25  fof(i_0_1477, plain, ![X4145, X4146, X4147, X4148]:(~class_RealVector_Oreal__normed__algebra(X4148)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4148),c_Groups_Ominus__class_Ominus(X4148,X4147,X4146)),X4145)=c_Groups_Ominus__class_Ominus(X4148,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4148),X4147),X4145),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4148),X4146),X4145))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Odiff__left])])).
% 247.18/174.25  fof(i_0_1478, plain, ![X3579, X3580, X3581, X3582]:(~class_RealVector_Oreal__normed__algebra(X3582)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3582),c_Groups_Oplus__class_Oplus(X3582,X3581,X3580)),X3579)=c_Groups_Oplus__class_Oplus(X3582,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3582),X3581),X3579),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3582),X3580),X3579))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oadd__left])])).
% 247.18/174.25  fof(i_0_1479, plain, ![X3575, X3576, X3577, X3578]:(~class_RealVector_Oreal__normed__algebra(X3578)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3578),c_Groups_Oplus__class_Oplus(X3578,X3577,X3576)),X3575)=c_Groups_Oplus__class_Oplus(X3578,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3578),X3577),X3575),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3578),X3576),X3575))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Oadd])])).
% 247.18/174.25  fof(i_0_1480, plain, ![X3493, X3494, X3495, X3496]:(~class_Rings_Ocomm__semiring(X3496)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3496),c_Groups_Oplus__class_Oplus(X3496,X3495,X3494)),X3493)=c_Groups_Oplus__class_Oplus(X3496,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3496),X3495),X3493),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3496),X3494),X3493))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__class_Odistrib])])).
% 247.18/174.25  fof(i_0_1481, plain, ![X3489, X3490, X3491, X3492]:(~class_Rings_Ocomm__semiring__1(X3492)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3492),c_Groups_Oplus__class_Oplus(X3492,X3491,X3490)),X3489)=c_Groups_Oplus__class_Oplus(X3492,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3492),X3491),X3489),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3492),X3490),X3489))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I8_J])])).
% 247.18/174.25  fof(i_0_1482, plain, ![X5022, X5023, X5024, X5025]:(~class_Fields_Ofield__inverse__zero(X5025)|hAPP(hAPP(c_Power_Opower__class_Opower(X5025),c_Rings_Oinverse__class_Odivide(X5025,X5024,X5023)),X5022)=c_Rings_Oinverse__class_Odivide(X5025,hAPP(hAPP(c_Power_Opower__class_Opower(X5025),X5024),X5022),hAPP(hAPP(c_Power_Opower__class_Opower(X5025),X5023),X5022))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__divide])])).
% 247.18/174.25  fof(i_0_1483, plain, ![X3542, X3543, X3544, X3545]:(~class_Rings_Ocomm__semiring__1(X3545)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3545),hAPP(hAPP(c_Power_Opower__class_Opower(X3545),X3544),X3543)),hAPP(hAPP(c_Power_Opower__class_Opower(X3545),X3544),X3542))=hAPP(hAPP(c_Power_Opower__class_Opower(X3545),X3544),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3543,X3542))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I26_J])])).
% 247.18/174.25  fof(i_0_1484, plain, ![X3557, X3558, X3559, X3560]:(~class_Groups_Omonoid__mult(X3560)|hAPP(hAPP(c_Power_Opower__class_Opower(X3560),X3559),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3558,X3557))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3560),hAPP(hAPP(c_Power_Opower__class_Opower(X3560),X3559),X3558)),hAPP(hAPP(c_Power_Opower__class_Opower(X3560),X3559),X3557))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__add])])).
% 247.18/174.25  fof(i_0_1485, plain, ![X5262, X5263, X5264]:c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5264,X5263),X5262),X5263)=c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5264,X5262),X5263), inference(variable_rename,[status(thm)],[fact_zdiff__zmod__left])).
% 247.18/174.25  fof(i_0_1486, plain, ![X5259, X5260, X5261]:c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5261,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5260,X5259)),X5259)=c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5261,X5260),X5259), inference(variable_rename,[status(thm)],[fact_zdiff__zmod__right])).
% 247.18/174.25  fof(i_0_1487, plain, ![X3394, X3395, X3396, X3397]:(~class_Rings_Ocomm__semiring__1(X3397)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3397),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3397),X3396),X3395)),X3394)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3397),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3397),X3396),X3394)),X3395)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I16_J])])).
% 247.18/174.25  fof(i_0_1488, plain, ![X5516, X5517, X5518, X5519]:(~class_Divides_Osemiring__div(X5519)|(~c_Rings_Odvd__class_Odvd(X5519,X5518,X5517)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5519),c_Divides_Odiv__class_Odiv(X5519,X5517,X5518)),X5516)=c_Divides_Odiv__class_Odiv(X5519,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5519),X5517),X5516),X5518))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__div__mult])])).
% 247.18/174.25  fof(i_0_1489, plain, ![X5078, X5079, X5080, X5081]:((~c_Orderings_Oord__class_Oless(X5081,X5079,c_Rings_Oinverse__class_Odivide(X5081,X5078,X5080))|c_Orderings_Oord__class_Oless(X5081,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5081),X5079),X5080),X5078)|~c_Orderings_Oord__class_Oless(X5081,c_Groups_Ozero__class_Ozero(X5081),X5080)|~class_Fields_Olinordered__field(X5081))&(~c_Orderings_Oord__class_Oless(X5081,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5081),X5079),X5080),X5078)|c_Orderings_Oord__class_Oless(X5081,X5079,c_Rings_Oinverse__class_Odivide(X5081,X5078,X5080))|~c_Orderings_Oord__class_Oless(X5081,c_Groups_Ozero__class_Ozero(X5081),X5080)|~class_Fields_Olinordered__field(X5081))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__less__divide__eq])])])).
% 247.18/174.25  fof(i_0_1490, plain, ![X5058, X5059, X5060, X5061]:((~c_Orderings_Oord__class_Oless(X5061,c_Rings_Oinverse__class_Odivide(X5061,X5059,X5060),X5058)|c_Orderings_Oord__class_Oless(X5061,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5061),X5058),X5060),X5059)|~c_Orderings_Oord__class_Oless(X5061,X5060,c_Groups_Ozero__class_Ozero(X5061))|~class_Fields_Olinordered__field(X5061))&(~c_Orderings_Oord__class_Oless(X5061,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5061),X5058),X5060),X5059)|c_Orderings_Oord__class_Oless(X5061,c_Rings_Oinverse__class_Odivide(X5061,X5059,X5060),X5058)|~c_Orderings_Oord__class_Oless(X5061,X5060,c_Groups_Ozero__class_Ozero(X5061))|~class_Fields_Olinordered__field(X5061))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__divide__less__eq])])])).
% 247.18/174.25  fof(i_0_1491, plain, ![X5074, X5075, X5076, X5077]:((~c_Orderings_Oord__class_Oless(X5077,c_Rings_Oinverse__class_Odivide(X5077,X5075,X5076),X5074)|c_Orderings_Oord__class_Oless(X5077,X5075,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5077),X5074),X5076))|~c_Orderings_Oord__class_Oless(X5077,c_Groups_Ozero__class_Ozero(X5077),X5076)|~class_Fields_Olinordered__field(X5077))&(~c_Orderings_Oord__class_Oless(X5077,X5075,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5077),X5074),X5076))|c_Orderings_Oord__class_Oless(X5077,c_Rings_Oinverse__class_Odivide(X5077,X5075,X5076),X5074)|~c_Orderings_Oord__class_Oless(X5077,c_Groups_Ozero__class_Ozero(X5077),X5076)|~class_Fields_Olinordered__field(X5077))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__divide__less__eq])])])).
% 247.18/174.25  fof(i_0_1492, plain, ![X5062, X5063, X5064, X5065]:((~c_Orderings_Oord__class_Oless(X5065,X5063,c_Rings_Oinverse__class_Odivide(X5065,X5062,X5064))|c_Orderings_Oord__class_Oless(X5065,X5062,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5065),X5063),X5064))|~c_Orderings_Oord__class_Oless(X5065,X5064,c_Groups_Ozero__class_Ozero(X5065))|~class_Fields_Olinordered__field(X5065))&(~c_Orderings_Oord__class_Oless(X5065,X5062,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5065),X5063),X5064))|c_Orderings_Oord__class_Oless(X5065,X5063,c_Rings_Oinverse__class_Odivide(X5065,X5062,X5064))|~c_Orderings_Oord__class_Oless(X5065,X5064,c_Groups_Ozero__class_Ozero(X5065))|~class_Fields_Olinordered__field(X5065))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__less__divide__eq])])])).
% 247.18/174.25  fof(i_0_1493, plain, ![X5070, X5071, X5072, X5073]:(~class_Fields_Olinordered__field(X5073)|(~c_Orderings_Oord__class_Oless(X5073,c_Groups_Ozero__class_Ozero(X5073),X5072)|(~c_Orderings_Oord__class_Oless(X5073,X5071,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5073),X5070),X5072))|c_Orderings_Oord__class_Oless(X5073,c_Rings_Oinverse__class_Odivide(X5073,X5071,X5072),X5070)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__imp__div__pos__less])])).
% 247.18/174.25  fof(i_0_1494, plain, ![X5066, X5067, X5068, X5069]:(~class_Fields_Olinordered__field(X5069)|(~c_Orderings_Oord__class_Oless(X5069,c_Groups_Ozero__class_Ozero(X5069),X5068)|(~c_Orderings_Oord__class_Oless(X5069,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5069),X5067),X5068),X5066)|c_Orderings_Oord__class_Oless(X5069,X5067,c_Rings_Oinverse__class_Odivide(X5069,X5066,X5068))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__imp__less__div__pos])])).
% 247.18/174.25  fof(i_0_1495, plain, ![X3361, X3362, X3363, X3364, X3365, X3366]:(~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3366)|(X3365=c_Groups_Ozero__class_Ozero(X3366)|(X3364!=X3363|X3362=X3361|c_Groups_Oplus__class_Oplus(X3366,X3364,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3366),X3365),X3362))!=c_Groups_Oplus__class_Oplus(X3366,X3363,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3366),X3365),X3361))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__scale__eq__noteq])])).
% 247.18/174.25  fof(i_0_1496, plain, ![X4632, X4633, X4634]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4634),X4633),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4634),X4632))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4633,X4632)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4634))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4633,X4632)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4634),X4633),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4634),X4632))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4634))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__less__cancel1])])])).
% 247.18/174.25  fof(i_0_1497, plain, ![X4668, X4669, X4670]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4670)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4670),X4669),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4670),X4668))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4669,X4668))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__power__less__imp__less])])).
% 247.18/174.25  fof(i_0_1498, plain, ![X4735, X4736, X4737]:(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4737),X4736),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4737),X4735))|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4737)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X4736,X4735))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__cancel])])).
% 247.18/174.25  fof(i_0_1499, plain, ![X4732, X4733, X4734]:((~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4734),X4733),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4734),X4732))|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X4733,X4732)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4734))&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X4733,X4732)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4734),X4733),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4734),X4732))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4734))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__dvd__cancel1])])])).
% 247.18/174.25  fof(i_0_1500, plain, ![X3285, X3286, X3287, X3288]:(~class_Rings_Ocomm__semiring__0(X3288)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3288)),c_Polynomial_Osmult(X3288,X3287,X3286)),X3285)=c_Polynomial_Osmult(X3288,X3287,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3288)),X3286),X3285))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__smult__left])])).
% 247.18/174.25  fof(i_0_1501, plain, ![X4104, X4105, X4106, X4107]:(~class_Groups_Oab__group__add(X4107)|hAPP(c_Polynomial_Ocoeff(X4107,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X4107),X4106,X4105)),X4104)=c_Groups_Ominus__class_Ominus(X4107,hAPP(c_Polynomial_Ocoeff(X4107,X4106),X4104),hAPP(c_Polynomial_Ocoeff(X4107,X4105),X4104))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__diff])])).
% 247.18/174.25  fof(i_0_1502, plain, ![X3203, X3204, X3205, X3206]:(~class_Groups_Ocomm__monoid__add(X3206)|hAPP(c_Polynomial_Ocoeff(X3206,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3206),X3205,X3204)),X3203)=c_Groups_Oplus__class_Oplus(X3206,hAPP(c_Polynomial_Ocoeff(X3206,X3205),X3203),hAPP(c_Polynomial_Ocoeff(X3206,X3204),X3203))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__add])])).
% 247.18/174.25  fof(i_0_1503, plain, ![X4100, X4101, X4102, X4103]:(~class_Rings_Ocomm__ring(X4103)|hAPP(c_Polynomial_Opoly(X4103,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X4103),X4102,X4101)),X4100)=c_Groups_Ominus__class_Ominus(X4103,hAPP(c_Polynomial_Opoly(X4103,X4102),X4100),hAPP(c_Polynomial_Opoly(X4103,X4101),X4100))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__diff])])).
% 247.18/174.25  fof(i_0_1504, plain, ![X3211, X3212, X3213, X3214]:(~class_Rings_Ocomm__semiring__0(X3214)|hAPP(c_Polynomial_Opoly(X3214,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3214),X3213,X3212)),X3211)=c_Groups_Oplus__class_Oplus(X3214,hAPP(c_Polynomial_Opoly(X3214,X3213),X3211),hAPP(c_Polynomial_Opoly(X3214,X3212),X3211))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__add])])).
% 247.18/174.25  fof(i_0_1505, plain, ![X5231, X5232, X5233]:c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5233),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5232,X5231)),X5231)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5233),X5232),X5231), inference(variable_rename,[status(thm)],[fact_zmod__simps_I3_J])).
% 247.18/174.25  fof(i_0_1506, plain, ![X5234, X5235, X5236]:c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5236),X5235),X5234)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5236),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5235,X5234)),X5234), inference(variable_rename,[status(thm)],[fact_zmod__zmult1__eq])).
% 247.18/174.25  fof(i_0_1507, plain, ![X4300, X4301, X4302]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4302,X4301)),X4300)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4302),X4300),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4301),X4300)), inference(variable_rename,[status(thm)],[fact_zdiff__zmult__distrib])).
% 247.18/174.25  fof(i_0_1508, plain, ![X3900, X3901, X3902]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3902,X3901)),X3900)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3902),X3900),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3901),X3900)), inference(variable_rename,[status(thm)],[fact_zadd__zmult__distrib])).
% 247.18/174.25  fof(i_0_1509, plain, ![X5237, X5238, X5239]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5239,X5238)),X5237)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5239),X5237),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5238),X5237)), inference(variable_rename,[status(thm)],[fact_mod__mult__distrib])).
% 247.18/174.25  fof(i_0_1510, plain, ![X4192, X4193, X4194]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4194,X4193)),X4192)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4194),X4192),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4193),X4192)), inference(variable_rename,[status(thm)],[fact_diff__mult__distrib])).
% 247.18/174.25  fof(i_0_1511, plain, ![X3610, X3611, X3612]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3612,X3611)),X3610)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3612),X3610),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3611),X3610)), inference(variable_rename,[status(thm)],[fact_add__mult__distrib])).
% 247.18/174.25  cnf(i_0_1512, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3)))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1193])).
% 247.18/174.25  fof(i_0_1513, plain, ![X5590, X5591, X5592]:(~class_Divides_Osemiring__div(X5592)|c_Groups_Oplus__class_Oplus(X5592,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5592),X5591),c_Divides_Odiv__class_Odiv(X5592,X5590,X5591)),c_Divides_Odiv__class_Omod(X5592,X5590,X5591))=X5590), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__div__equality2])])).
% 247.18/174.25  fof(i_0_1514, plain, ![X5843, X5844, X5845, X5846]:(~class_Groups_Oordered__ab__semigroup__add__imp__le(X5846)|(~c_Orderings_Oord__class_Oless__eq(X5846,c_Groups_Oplus__class_Oplus(X5846,X5845,X5844),c_Groups_Oplus__class_Oplus(X5846,X5843,X5844))|c_Orderings_Oord__class_Oless__eq(X5846,X5845,X5843))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__imp__le__right])])).
% 247.18/174.25  fof(i_0_1515, plain, ![X5822, X5823, X5824, X5825]:((~c_Orderings_Oord__class_Oless__eq(X5825,c_Groups_Oplus__class_Oplus(X5825,X5824,X5823),c_Groups_Oplus__class_Oplus(X5825,X5822,X5823))|c_Orderings_Oord__class_Oless__eq(X5825,X5824,X5822)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X5825))&(~c_Orderings_Oord__class_Oless__eq(X5825,X5824,X5822)|c_Orderings_Oord__class_Oless__eq(X5825,c_Groups_Oplus__class_Oplus(X5825,X5824,X5823),c_Groups_Oplus__class_Oplus(X5825,X5822,X5823))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X5825))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__cancel__right])])])).
% 247.18/174.25  fof(i_0_1516, plain, ![X5847, X5848, X5849, X5850]:(~class_Groups_Oordered__ab__semigroup__add__imp__le(X5850)|(~c_Orderings_Oord__class_Oless__eq(X5850,c_Groups_Oplus__class_Oplus(X5850,X5849,X5848),c_Groups_Oplus__class_Oplus(X5850,X5849,X5847))|c_Orderings_Oord__class_Oless__eq(X5850,X5848,X5847))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__imp__le__left])])).
% 247.18/174.25  fof(i_0_1517, plain, ![X5826, X5827, X5828, X5829]:((~c_Orderings_Oord__class_Oless__eq(X5829,c_Groups_Oplus__class_Oplus(X5829,X5828,X5827),c_Groups_Oplus__class_Oplus(X5829,X5828,X5826))|c_Orderings_Oord__class_Oless__eq(X5829,X5827,X5826)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X5829))&(~c_Orderings_Oord__class_Oless__eq(X5829,X5827,X5826)|c_Orderings_Oord__class_Oless__eq(X5829,c_Groups_Oplus__class_Oplus(X5829,X5828,X5827),c_Groups_Oplus__class_Oplus(X5829,X5828,X5826))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X5829))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__cancel__left])])])).
% 247.18/174.25  fof(i_0_1518, plain, ![X4353, X4354, X4355, X4356]:((~c_Orderings_Oord__class_Oless(X4356,c_Groups_Oplus__class_Oplus(X4356,X4355,X4354),c_Groups_Oplus__class_Oplus(X4356,X4353,X4354))|c_Orderings_Oord__class_Oless(X4356,X4355,X4353)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X4356))&(~c_Orderings_Oord__class_Oless(X4356,X4355,X4353)|c_Orderings_Oord__class_Oless(X4356,c_Groups_Oplus__class_Oplus(X4356,X4355,X4354),c_Groups_Oplus__class_Oplus(X4356,X4353,X4354))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X4356))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__cancel__right])])])).
% 247.18/174.25  fof(i_0_1519, plain, ![X4332, X4333, X4334, X4335]:(~class_Groups_Oordered__ab__semigroup__add__imp__le(X4335)|(~c_Orderings_Oord__class_Oless(X4335,c_Groups_Oplus__class_Oplus(X4335,X4334,X4333),c_Groups_Oplus__class_Oplus(X4335,X4332,X4333))|c_Orderings_Oord__class_Oless(X4335,X4334,X4332))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__imp__less__right])])).
% 247.18/174.25  fof(i_0_1520, plain, ![X4349, X4350, X4351, X4352]:((~c_Orderings_Oord__class_Oless(X4352,c_Groups_Oplus__class_Oplus(X4352,X4351,X4350),c_Groups_Oplus__class_Oplus(X4352,X4351,X4349))|c_Orderings_Oord__class_Oless(X4352,X4350,X4349)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X4352))&(~c_Orderings_Oord__class_Oless(X4352,X4350,X4349)|c_Orderings_Oord__class_Oless(X4352,c_Groups_Oplus__class_Oplus(X4352,X4351,X4350),c_Groups_Oplus__class_Oplus(X4352,X4351,X4349))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X4352))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__cancel__left])])])).
% 247.18/174.25  fof(i_0_1521, plain, ![X4328, X4329, X4330, X4331]:(~class_Groups_Oordered__ab__semigroup__add__imp__le(X4331)|(~c_Orderings_Oord__class_Oless(X4331,c_Groups_Oplus__class_Oplus(X4331,X4330,X4329),c_Groups_Oplus__class_Oplus(X4331,X4330,X4328))|c_Orderings_Oord__class_Oless(X4331,X4329,X4328))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__imp__less__left])])).
% 247.18/174.25  cnf(i_0_1522, plain, (c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2))=X2|c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X1),X2)=c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2))), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 247.18/174.25  cnf(i_0_1523, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),c_Nat_OSuc(X2))), inference(split_conjunct,[status(thm)],[i_0_1195])).
% 247.18/174.25  cnf(i_0_1524, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),c_Nat_OSuc(X2))), inference(split_conjunct,[status(thm)],[i_0_1196])).
% 247.18/174.25  cnf(i_0_1525, plain, (c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))))=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1197])).
% 247.18/174.25  fof(i_0_1526, plain, ![X3354, X3355, X3356, X3357]:((~c_Rings_Odvd__class_Odvd(X3357,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3357),X3356),X3355),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3357),X3356),X3354))|(X3356=c_Groups_Ozero__class_Ozero(X3357)|c_Rings_Odvd__class_Odvd(X3357,X3355,X3354))|~class_Rings_Oidom(X3357))&((X3356!=c_Groups_Ozero__class_Ozero(X3357)|c_Rings_Odvd__class_Odvd(X3357,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3357),X3356),X3355),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3357),X3356),X3354))|~class_Rings_Oidom(X3357))&(~c_Rings_Odvd__class_Odvd(X3357,X3355,X3354)|c_Rings_Odvd__class_Odvd(X3357,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3357),X3356),X3355),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3357),X3356),X3354))|~class_Rings_Oidom(X3357)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__cancel__left])])])).
% 247.18/174.25  fof(i_0_1527, plain, ![X3350, X3351, X3352, X3353]:((~c_Rings_Odvd__class_Odvd(X3353,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3353),X3352),X3351),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3353),X3350),X3351))|(X3351=c_Groups_Ozero__class_Ozero(X3353)|c_Rings_Odvd__class_Odvd(X3353,X3352,X3350))|~class_Rings_Oidom(X3353))&((X3351!=c_Groups_Ozero__class_Ozero(X3353)|c_Rings_Odvd__class_Odvd(X3353,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3353),X3352),X3351),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3353),X3350),X3351))|~class_Rings_Oidom(X3353))&(~c_Rings_Odvd__class_Odvd(X3353,X3352,X3350)|c_Rings_Odvd__class_Odvd(X3353,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3353),X3352),X3351),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3353),X3350),X3351))|~class_Rings_Oidom(X3353)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__cancel__right])])])).
% 247.18/174.25  fof(i_0_1528, plain, ![X3085, X3086, X3087, X3088]:((X3086!=X3085|hAPP(c_Polynomial_Ocoeff(X3087,X3086),X3088)=hAPP(c_Polynomial_Ocoeff(X3087,X3085),X3088)|~class_Groups_Ozero(X3087))&(hAPP(c_Polynomial_Ocoeff(X3087,X3086),esk5_3(X3085,X3086,X3087))!=hAPP(c_Polynomial_Ocoeff(X3087,X3085),esk5_3(X3085,X3086,X3087))|X3086=X3085|~class_Groups_Ozero(X3087))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_expand__poly__eq])])])])])).
% 247.18/174.25  fof(i_0_1529, plain, ![X4717, X4718, X4719]:(~class_Rings_Olinordered__semidom(X4719)|(~c_Orderings_Oord__class_Oless(X4719,c_Groups_Oone__class_Oone(X4719),X4718)|c_Orderings_Oord__class_Oless(X4719,c_Groups_Oone__class_Oone(X4719),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4719),X4718),hAPP(hAPP(c_Power_Opower__class_Opower(X4719),X4718),X4717))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__gt1__lemma])])).
% 247.18/174.25  fof(i_0_1530, plain, ![X5570, X5571, X5572, X5573, X5574]:((c_Divides_Odiv__class_Odiv(X5574,X5571,X5573)!=c_Divides_Odiv__class_Odiv(X5574,X5570,X5572)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5574),X5571),X5572)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5574),X5573),X5570)|~c_Rings_Odvd__class_Odvd(X5574,X5572,X5570)|~c_Rings_Odvd__class_Odvd(X5574,X5573,X5571)|X5572=c_Groups_Ozero__class_Ozero(X5574)|X5573=c_Groups_Ozero__class_Ozero(X5574)|~class_Divides_Osemiring__div(X5574))&(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5574),X5571),X5572)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5574),X5573),X5570)|c_Divides_Odiv__class_Odiv(X5574,X5571,X5573)=c_Divides_Odiv__class_Odiv(X5574,X5570,X5572)|~c_Rings_Odvd__class_Odvd(X5574,X5572,X5570)|~c_Rings_Odvd__class_Odvd(X5574,X5573,X5571)|X5572=c_Groups_Ozero__class_Ozero(X5574)|X5573=c_Groups_Ozero__class_Ozero(X5574)|~class_Divides_Osemiring__div(X5574))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__div__div__eq__mult])])])).
% 247.18/174.25  fof(i_0_1531, plain, ![X3850, X3851, X3852]:hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X3852),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3851,X3850))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X3852),X3851)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X3852),X3850)), inference(variable_rename,[status(thm)],[fact_zpower__zadd__distrib])).
% 247.18/174.25  fof(i_0_1532, plain, ![X3231, X3232, X3233, X3234]:(~class_Rings_Ocomm__semiring__0(X3234)|(c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3234),c_Polynomial_Osmult(X3234,X3233,X3232),c_Polynomial_OpCons(X3234,X3231,X3232))!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3234))|X3232=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3234)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__eq__0__lemma])])).
% 247.18/174.25  cnf(i_0_1533, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(X2)),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1198])).
% 247.18/174.25  fof(i_0_1534, plain, ![X4420, X4421, X4422]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4422,X4421),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4422,X4420))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4421,X4420))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4421,X4420)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4422,X4421),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4422,X4420)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__left__cancel__less])])).
% 247.18/174.25  fof(i_0_1535, plain, ![X4985, X4986, X4987]:(~class_Fields_Ofield__inverse__zero(X4987)|c_Rings_Oinverse__class_Odivide(X4987,c_Groups_Oone__class_Oone(X4987),hAPP(hAPP(c_Power_Opower__class_Opower(X4987),X4986),X4985))=hAPP(hAPP(c_Power_Opower__class_Opower(X4987),c_Rings_Oinverse__class_Odivide(X4987,c_Groups_Oone__class_Oone(X4987),X4986)),X4985)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one__over])])).
% 247.18/174.25  fof(i_0_1536, plain, ![X5773, X5774, X5775, X5776]:(~class_Fields_Olinordered__field__inverse__zero(X5776)|(~c_Orderings_Oord__class_Oless__eq(X5776,X5775,X5774)|(~c_Orderings_Oord__class_Oless__eq(X5776,c_Groups_Ozero__class_Ozero(X5776),X5773)|c_Orderings_Oord__class_Oless__eq(X5776,c_Rings_Oinverse__class_Odivide(X5776,X5775,X5773),c_Rings_Oinverse__class_Odivide(X5776,X5774,X5773))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__right__mono])])).
% 247.18/174.25  fof(i_0_1537, plain, ![X4923, X4924, X4925, X4926]:(~class_Fields_Olinordered__field(X4926)|(~c_Orderings_Oord__class_Oless(X4926,X4925,X4924)|(~c_Orderings_Oord__class_Oless(X4926,c_Groups_Ozero__class_Ozero(X4926),X4923)|c_Orderings_Oord__class_Oless(X4926,c_Rings_Oinverse__class_Odivide(X4926,X4925,X4923),c_Rings_Oinverse__class_Odivide(X4926,X4924,X4923))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__strict__right__mono])])).
% 247.18/174.25  fof(i_0_1538, plain, ![X5777, X5778, X5779, X5780]:(~class_Fields_Olinordered__field__inverse__zero(X5780)|(~c_Orderings_Oord__class_Oless__eq(X5780,X5779,X5778)|(~c_Orderings_Oord__class_Oless__eq(X5780,X5777,c_Groups_Ozero__class_Ozero(X5780))|c_Orderings_Oord__class_Oless__eq(X5780,c_Rings_Oinverse__class_Odivide(X5780,X5778,X5777),c_Rings_Oinverse__class_Odivide(X5780,X5779,X5777))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__right__mono__neg])])).
% 247.18/174.25  fof(i_0_1539, plain, ![X4927, X4928, X4929, X4930]:(~class_Fields_Olinordered__field(X4930)|(~c_Orderings_Oord__class_Oless(X4930,X4929,X4928)|(~c_Orderings_Oord__class_Oless(X4930,X4927,c_Groups_Ozero__class_Ozero(X4930))|c_Orderings_Oord__class_Oless(X4930,c_Rings_Oinverse__class_Odivide(X4930,X4928,X4927),c_Rings_Oinverse__class_Odivide(X4930,X4929,X4927))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__strict__right__mono__neg])])).
% 247.18/174.25  fof(i_0_1540, plain, ![X5438, X5439]:X5439=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5438),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5439,X5438)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5439,X5438)), inference(variable_rename,[status(thm)],[fact_zmod__zdiv__equality])).
% 247.18/174.25  fof(i_0_1541, plain, ![X4308, X4309, X4310, X4311]:(~class_Rings_Ocomm__ring(X4311)|c_Polynomial_Osmult(X4311,X4310,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X4311),X4309,X4308))=c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X4311),c_Polynomial_Osmult(X4311,X4310,X4309),c_Polynomial_Osmult(X4311,X4310,X4308))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__diff__right])])).
% 247.18/174.25  fof(i_0_1542, plain, ![X3273, X3274, X3275, X3276]:(~class_Rings_Ocomm__semiring__0(X3276)|c_Polynomial_Osmult(X3276,X3275,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3276),X3274,X3273))=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3276),c_Polynomial_Osmult(X3276,X3275,X3274),c_Polynomial_Osmult(X3276,X3275,X3273))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__add__right])])).
% 247.18/174.25  fof(i_0_1543, plain, ![X3813, X3814, X3815]:(~class_Rings_Ocomm__semiring__1(X3815)|c_Groups_Oplus__class_Oplus(X3815,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3815),X3814),X3813),X3813)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3815),c_Groups_Oplus__class_Oplus(X3815,X3814,c_Groups_Oone__class_Oone(X3815))),X3813)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I2_J])])).
% 247.18/174.25  fof(i_0_1544, plain, ![X3816, X3817, X3818]:(~class_Rings_Ocomm__semiring__1(X3818)|c_Groups_Oplus__class_Oplus(X3818,X3817,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3818),X3816),X3817))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3818),c_Groups_Oplus__class_Oplus(X3818,X3816,c_Groups_Oone__class_Oone(X3818))),X3817)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I3_J])])).
% 247.18/174.25  fof(i_0_1545, plain, ![X5699, X5700, X5701, X5702]:(~class_Rings_Oordered__semiring(X5702)|(~c_Orderings_Oord__class_Oless__eq(X5702,X5701,X5700)|(~c_Orderings_Oord__class_Oless__eq(X5702,c_Groups_Ozero__class_Ozero(X5702),X5699)|c_Orderings_Oord__class_Oless__eq(X5702,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5702),X5701),X5699),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5702),X5700),X5699))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__mono])])).
% 247.18/174.25  fof(i_0_1546, plain, ![X5691, X5692, X5693, X5694]:(~class_Rings_Oordered__comm__semiring(X5694)|(~c_Orderings_Oord__class_Oless__eq(X5694,X5693,X5692)|(~c_Orderings_Oord__class_Oless__eq(X5694,c_Groups_Ozero__class_Ozero(X5694),X5691)|c_Orderings_Oord__class_Oless__eq(X5694,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5694),X5691),X5693),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5694),X5691),X5692))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__mult__left__mono])])).
% 247.18/174.25  fof(i_0_1547, plain, ![X5695, X5696, X5697, X5698]:(~class_Rings_Oordered__semiring(X5698)|(~c_Orderings_Oord__class_Oless__eq(X5698,X5697,X5696)|(~c_Orderings_Oord__class_Oless__eq(X5698,c_Groups_Ozero__class_Ozero(X5698),X5695)|c_Orderings_Oord__class_Oless__eq(X5698,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5698),X5695),X5697),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5698),X5695),X5696))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__mono])])).
% 247.18/174.25  fof(i_0_1548, plain, ![X5760, X5761, X5762, X5763]:(~class_Rings_Olinordered__semidom(X5763)|(~c_Orderings_Oord__class_Oless__eq(X5763,X5762,X5761)|(~c_Orderings_Oord__class_Oless__eq(X5763,c_Groups_Ozero__class_Ozero(X5763),X5762)|c_Orderings_Oord__class_Oless__eq(X5763,hAPP(hAPP(c_Power_Opower__class_Opower(X5763),X5762),X5760),hAPP(hAPP(c_Power_Opower__class_Opower(X5763),X5761),X5760))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__mono])])).
% 247.18/174.25  fof(i_0_1549, plain, ![X4521, X4522, X4523, X4524]:(~class_Rings_Olinordered__semiring__strict(X4524)|(~c_Orderings_Oord__class_Oless(X4524,X4523,X4522)|(~c_Orderings_Oord__class_Oless(X4524,c_Groups_Ozero__class_Ozero(X4524),X4521)|c_Orderings_Oord__class_Oless(X4524,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4524),X4523),X4521),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4524),X4522),X4521))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__right__mono])])).
% 247.18/174.25  fof(i_0_1550, plain, ![X4517, X4518, X4519, X4520]:(~class_Rings_Olinordered__semiring__strict(X4520)|(~c_Orderings_Oord__class_Oless(X4520,X4519,X4518)|(~c_Orderings_Oord__class_Oless(X4520,c_Groups_Ozero__class_Ozero(X4520),X4517)|c_Orderings_Oord__class_Oless(X4520,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4520),X4517),X4519),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4520),X4517),X4518))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__left__mono])])).
% 247.18/174.25  fof(i_0_1551, plain, ![X4513, X4514, X4515, X4516]:(~class_Rings_Olinordered__comm__semiring__strict(X4516)|(~c_Orderings_Oord__class_Oless(X4516,X4515,X4514)|(~c_Orderings_Oord__class_Oless(X4516,c_Groups_Ozero__class_Ozero(X4516),X4513)|c_Orderings_Oord__class_Oless(X4516,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4516),X4513),X4515),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4516),X4513),X4514))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__mult__strict__left__mono])])).
% 247.18/174.25  fof(i_0_1552, plain, ![X5687, X5688, X5689, X5690]:(~class_Rings_Oordered__ring(X5690)|(~c_Orderings_Oord__class_Oless__eq(X5690,X5689,X5688)|(~c_Orderings_Oord__class_Oless__eq(X5690,X5687,c_Groups_Ozero__class_Ozero(X5690))|c_Orderings_Oord__class_Oless__eq(X5690,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5690),X5688),X5687),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5690),X5689),X5687))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right__mono__neg])])).
% 247.18/174.25  fof(i_0_1553, plain, ![X5683, X5684, X5685, X5686]:(~class_Rings_Oordered__ring(X5686)|(~c_Orderings_Oord__class_Oless__eq(X5686,X5685,X5684)|(~c_Orderings_Oord__class_Oless__eq(X5686,X5683,c_Groups_Ozero__class_Ozero(X5686))|c_Orderings_Oord__class_Oless__eq(X5686,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5686),X5683),X5684),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5686),X5683),X5685))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left__mono__neg])])).
% 247.18/174.25  fof(i_0_1554, plain, ![X4509, X4510, X4511, X4512]:(~class_Rings_Olinordered__ring__strict(X4512)|(~c_Orderings_Oord__class_Oless(X4512,X4511,X4510)|(~c_Orderings_Oord__class_Oless(X4512,X4509,c_Groups_Ozero__class_Ozero(X4512))|c_Orderings_Oord__class_Oless(X4512,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4512),X4510),X4509),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4512),X4511),X4509))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__right__mono__neg])])).
% 247.18/174.25  fof(i_0_1555, plain, ![X4505, X4506, X4507, X4508]:(~class_Rings_Olinordered__ring__strict(X4508)|(~c_Orderings_Oord__class_Oless(X4508,X4507,X4506)|(~c_Orderings_Oord__class_Oless(X4508,X4505,c_Groups_Ozero__class_Ozero(X4508))|c_Orderings_Oord__class_Oless(X4508,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4508),X4505),X4506),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4508),X4505),X4507))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__strict__left__mono__neg])])).
% 247.18/174.25  fof(i_0_1556, plain, ![X5838, X5839, X5840, X5841, X5842]:(~class_Groups_Oordered__ab__semigroup__add(X5842)|(~c_Orderings_Oord__class_Oless__eq(X5842,X5841,X5840)|(~c_Orderings_Oord__class_Oless__eq(X5842,X5839,X5838)|c_Orderings_Oord__class_Oless__eq(X5842,c_Groups_Oplus__class_Oplus(X5842,X5841,X5839),c_Groups_Oplus__class_Oplus(X5842,X5840,X5838))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__mono])])).
% 247.18/174.25  fof(i_0_1557, plain, ![X5874, X5875, X5876, X5877, X5878]:(~class_Groups_Oordered__cancel__ab__semigroup__add(X5878)|(~c_Orderings_Oord__class_Oless(X5878,X5877,X5876)|(~c_Orderings_Oord__class_Oless__eq(X5878,X5875,X5874)|c_Orderings_Oord__class_Oless(X5878,c_Groups_Oplus__class_Oplus(X5878,X5877,X5875),c_Groups_Oplus__class_Oplus(X5878,X5876,X5874))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__le__mono])])).
% 247.18/174.25  fof(i_0_1558, plain, ![X5869, X5870, X5871, X5872, X5873]:(~class_Groups_Oordered__cancel__ab__semigroup__add(X5873)|(~c_Orderings_Oord__class_Oless__eq(X5873,X5872,X5871)|(~c_Orderings_Oord__class_Oless(X5873,X5870,X5869)|c_Orderings_Oord__class_Oless(X5873,c_Groups_Oplus__class_Oplus(X5873,X5872,X5870),c_Groups_Oplus__class_Oplus(X5873,X5871,X5869))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__le__less__mono])])).
% 247.18/174.25  fof(i_0_1559, plain, ![X4336, X4337, X4338, X4339, X4340]:(~class_Groups_Oordered__cancel__ab__semigroup__add(X4340)|(~c_Orderings_Oord__class_Oless(X4340,X4339,X4338)|(~c_Orderings_Oord__class_Oless(X4340,X4337,X4336)|c_Orderings_Oord__class_Oless(X4340,c_Groups_Oplus__class_Oplus(X4340,X4339,X4337),c_Groups_Oplus__class_Oplus(X4340,X4338,X4336))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__mono])])).
% 247.18/174.25  fof(i_0_1560, plain, ![X5795, X5796, X5797, X5798]:(~class_Rings_Olinordered__semidom(X5798)|(~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X5797,X5796)|(~c_Orderings_Oord__class_Oless__eq(X5798,c_Groups_Oone__class_Oone(X5798),X5795)|c_Orderings_Oord__class_Oless__eq(X5798,hAPP(hAPP(c_Power_Opower__class_Opower(X5798),X5795),X5797),hAPP(hAPP(c_Power_Opower__class_Opower(X5798),X5795),X5796))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__increasing])])).
% 247.18/174.25  fof(i_0_1561, plain, ![X4483, X4484, X4485, X4486]:(~class_Rings_Olinordered__semidom(X4486)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4485,X4484)|(~c_Orderings_Oord__class_Oless(X4486,c_Groups_Oone__class_Oone(X4486),X4483)|c_Orderings_Oord__class_Oless(X4486,hAPP(hAPP(c_Power_Opower__class_Opower(X4486),X4483),X4485),hAPP(hAPP(c_Power_Opower__class_Opower(X4486),X4483),X4484))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__strict__increasing])])).
% 247.18/174.25  fof(i_0_1562, plain, ![X4080, X4081, X4082, X4083]:(~class_Groups_Oab__group__add(X4083)|c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X4083),c_Polynomial_Omonom(X4083,X4082,X4081),c_Polynomial_Omonom(X4083,X4080,X4081))=c_Polynomial_Omonom(X4083,c_Groups_Ominus__class_Ominus(X4083,X4082,X4080),X4081)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__monom])])).
% 247.18/174.25  fof(i_0_1563, plain, ![X3219, X3220, X3221, X3222]:(~class_Groups_Ocomm__monoid__add(X3222)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3222),c_Polynomial_Omonom(X3222,X3221,X3220),c_Polynomial_Omonom(X3222,X3219,X3220))=c_Polynomial_Omonom(X3222,c_Groups_Oplus__class_Oplus(X3222,X3221,X3219),X3220)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__monom])])).
% 247.18/174.25  fof(i_0_1564, plain, ![X4108, X4109, X4110, X4111]:(~class_Rings_Ocomm__ring(X4111)|c_Polynomial_Osmult(X4111,c_Groups_Ominus__class_Ominus(X4111,X4110,X4109),X4108)=c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X4111),c_Polynomial_Osmult(X4111,X4110,X4108),c_Polynomial_Osmult(X4111,X4109,X4108))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__diff__left])])).
% 247.18/174.25  fof(i_0_1565, plain, ![X3207, X3208, X3209, X3210]:(~class_Rings_Ocomm__semiring__0(X3210)|c_Polynomial_Osmult(X3210,c_Groups_Oplus__class_Oplus(X3210,X3209,X3208),X3207)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3210),c_Polynomial_Osmult(X3210,X3209,X3207),c_Polynomial_Osmult(X3210,X3208,X3207))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__add__left])])).
% 247.18/174.25  fof(i_0_1566, plain, ![X3367, X3368, X3369]:((hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X3369),esk10_3(X3367,X3368,X3369))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|(c_Polynomial_Odegree(tc_Complex_Ocomplex,X3369)!=X3367|(X3367=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X3369,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3368),X3367)))))&(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X3368),esk10_3(X3367,X3368,X3369))!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|(c_Polynomial_Odegree(tc_Complex_Ocomplex,X3369)!=X3367|(X3367=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X3369,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3368),X3367)))))), inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nullstellensatz__lemma])])])])).
% 247.18/174.25  fof(i_0_1567, plain, ![X3523, X3524, X3525, X3526, X3527]:(~class_Rings_Ocomm__semiring__1(X3527)|(~c_Rings_Odvd__class_Odvd(X3527,X3526,X3525)|(~c_Rings_Odvd__class_Odvd(X3527,X3524,X3523)|c_Rings_Odvd__class_Odvd(X3527,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3527),X3526),X3524),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3527),X3525),X3523))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__dvd__mono])])).
% 247.18/174.25  fof(i_0_1568, plain, ![X4279, X4280, X4281]:((X4280!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(X4281),X4279),X4280)=c_Groups_Oone__class_Oone(X4281)|~class_Power_Opower(X4281))&(X4280=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(X4281),X4279),X4280)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4281),X4279),hAPP(hAPP(c_Power_Opower__class_Opower(X4281),X4279),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4280,c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~class_Power_Opower(X4281))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_realpow__num__eq__if])])])).
% 247.18/174.25  fof(i_0_1569, plain, ![X4988, X4989, X4990, X4991]:(~class_RealVector_Oreal__normed__field(X4991)|c_Rings_Oinverse__class_Odivide(X4991,c_Groups_Ominus__class_Ominus(X4991,X4990,X4989),X4988)=c_Groups_Ominus__class_Ominus(X4991,c_Rings_Oinverse__class_Odivide(X4991,X4990,X4988),c_Rings_Oinverse__class_Odivide(X4991,X4989,X4988))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Odiff])])).
% 247.18/174.25  fof(i_0_1570, plain, ![X4992, X4993, X4994, X4995]:(~class_Rings_Odivision__ring(X4995)|c_Rings_Oinverse__class_Odivide(X4995,c_Groups_Ominus__class_Ominus(X4995,X4994,X4993),X4992)=c_Groups_Ominus__class_Ominus(X4995,c_Rings_Oinverse__class_Odivide(X4995,X4994,X4992),c_Rings_Oinverse__class_Odivide(X4995,X4993,X4992))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__divide__distrib])])).
% 247.18/174.25  fof(i_0_1571, plain, ![X5010, X5011, X5012, X5013]:(~class_RealVector_Oreal__normed__field(X5013)|c_Rings_Oinverse__class_Odivide(X5013,c_Groups_Oplus__class_Oplus(X5013,X5012,X5011),X5010)=c_Groups_Oplus__class_Oplus(X5013,c_Rings_Oinverse__class_Odivide(X5013,X5012,X5010),c_Rings_Oinverse__class_Odivide(X5013,X5011,X5010))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Oadd])])).
% 247.18/174.25  fof(i_0_1572, plain, ![X5006, X5007, X5008, X5009]:(~class_Rings_Odivision__ring(X5009)|c_Rings_Oinverse__class_Odivide(X5009,c_Groups_Oplus__class_Oplus(X5009,X5008,X5007),X5006)=c_Groups_Oplus__class_Oplus(X5009,c_Rings_Oinverse__class_Odivide(X5009,X5008,X5006),c_Rings_Oinverse__class_Odivide(X5009,X5007,X5006))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__divide__distrib])])).
% 247.18/174.25  cnf(i_0_1573, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2))), inference(split_conjunct,[status(thm)],[i_0_1199])).
% 247.18/174.25  cnf(i_0_1574, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X1)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1200])).
% 247.18/174.25  fof(i_0_1575, plain, ![X5186, X5187, X5188]:(~class_Fields_Ofield(X5188)|(X5187=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5188))|(c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5188),X5186,X5187)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5188))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5188,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5188),X5186,X5187)),c_Polynomial_Odegree(X5188,X5187))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__mod__less])])).
% 247.18/174.25  fof(i_0_1576, plain, ![X3195, X3196, X3197, X3198]:(~class_Rings_Ocomm__semiring__0(X3198)|c_Polynomial_Osmult(X3198,X3197,c_Polynomial_OpCons(X3198,X3196,X3195))=c_Polynomial_OpCons(X3198,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3198),X3197),X3196),c_Polynomial_Osmult(X3198,X3197,X3195))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__pCons])])).
% 247.18/174.25  fof(i_0_1577, plain, ![X5865, X5866, X5867, X5868]:(~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5868,X5867)|(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5866,X5865)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X5868,X5866),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X5867,X5865)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zadd__zless__mono])])).
% 247.18/174.25  fof(i_0_1578, plain, ![X4427, X4428, X4429]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4429,X4428)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4429,X4427)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4427,X4428),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4427,X4429)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__less__mono2])])).
% 247.18/174.25  fof(i_0_1579, plain, ![X4407, X4408, X4409, X4410]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4410,X4409)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4408,X4407)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4410,X4408),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4409,X4407)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__mono])])).
% 247.18/174.25  fof(i_0_1580, plain, ![X5421, X5422, X5423, X5424]:(~class_Divides_Osemiring__div(X5424)|c_Divides_Odiv__class_Omod(X5424,c_Groups_Oplus__class_Oplus(X5424,X5423,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5424),X5422),X5421)),X5422)=c_Divides_Odiv__class_Omod(X5424,X5423,X5422)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__mult__self2])])).
% 247.18/174.25  fof(i_0_1581, plain, ![X5417, X5418, X5419, X5420]:(~class_Divides_Osemiring__div(X5420)|c_Divides_Odiv__class_Omod(X5420,c_Groups_Oplus__class_Oplus(X5420,X5419,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5420),X5418),X5417)),X5417)=c_Divides_Odiv__class_Omod(X5420,X5419,X5417)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__mult__self1])])).
% 247.18/174.25  fof(i_0_1582, plain, ![X3358, X3359, X3360]:(((X3359=c_Groups_Ozero__class_Ozero(X3360)|c_Groups_Oplus__class_Oplus(X3360,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3360),X3359),X3359),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3360),X3358),X3358))!=c_Groups_Ozero__class_Ozero(X3360)|~class_Rings_Olinordered__ring__strict(X3360))&(X3358=c_Groups_Ozero__class_Ozero(X3360)|c_Groups_Oplus__class_Oplus(X3360,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3360),X3359),X3359),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3360),X3358),X3358))!=c_Groups_Ozero__class_Ozero(X3360)|~class_Rings_Olinordered__ring__strict(X3360)))&(X3359!=c_Groups_Ozero__class_Ozero(X3360)|X3358!=c_Groups_Ozero__class_Ozero(X3360)|c_Groups_Oplus__class_Oplus(X3360,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3360),X3359),X3359),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3360),X3358),X3358))=c_Groups_Ozero__class_Ozero(X3360)|~class_Rings_Olinordered__ring__strict(X3360))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sum__squares__eq__zero__iff])])])).
% 247.18/174.25  cnf(i_0_1583, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1201])).
% 247.18/174.25  cnf(i_0_1584, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)|~class_Groups_Omonoid__mult(X1)), inference(split_conjunct,[status(thm)],[i_0_1202])).
% 247.18/174.25  fof(i_0_1585, plain, ![X5320, X5321, X5322, X5323]:(~class_Divides_Osemiring__div(X5323)|c_Divides_Odiv__class_Omod(X5323,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5323),X5322),X5321),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5323),X5322),X5320))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5323),X5322),c_Divides_Odiv__class_Omod(X5323,X5321,X5320))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__mult__mult1])])).
% 247.18/174.25  fof(i_0_1586, plain, ![X4141, X4142, X4143, X4144]:(~class_RealVector_Oreal__normed__algebra(X4144)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4144),X4143),c_Groups_Ominus__class_Ominus(X4144,X4142,X4141))=c_Groups_Ominus__class_Ominus(X4144,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4144),X4143),X4142),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4144),X4143),X4141))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Odiff])])).
% 247.18/174.25  fof(i_0_1587, plain, ![X4137, X4138, X4139, X4140]:(~class_RealVector_Oreal__normed__algebra(X4140)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4140),X4139),c_Groups_Ominus__class_Ominus(X4140,X4138,X4137))=c_Groups_Ominus__class_Ominus(X4140,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4140),X4139),X4138),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4140),X4139),X4137))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Odiff__right])])).
% 247.18/174.25  fof(i_0_1588, plain, ![X3641, X3642, X3643, X3644]:(~class_RealVector_Oreal__normed__algebra(X3644)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3644),X3643),c_Groups_Oplus__class_Oplus(X3644,X3642,X3641))=c_Groups_Oplus__class_Oplus(X3644,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3644),X3643),X3642),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3644),X3643),X3641))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Oadd__right])])).
% 247.18/174.25  fof(i_0_1589, plain, ![X3583, X3584, X3585, X3586]:(~class_RealVector_Oreal__normed__algebra(X3586)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3586),X3585),c_Groups_Oplus__class_Oplus(X3586,X3584,X3583))=c_Groups_Oplus__class_Oplus(X3586,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3586),X3585),X3584),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3586),X3585),X3583))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Oadd])])).
% 247.18/174.25  fof(i_0_1590, plain, ![X3502, X3503, X3504, X3505]:(~class_Rings_Ocomm__semiring__1(X3505)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3505),X3504),c_Groups_Oplus__class_Oplus(X3505,X3503,X3502))=c_Groups_Oplus__class_Oplus(X3505,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3505),X3504),X3503),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3505),X3504),X3502))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I34_J])])).
% 247.18/174.25  fof(i_0_1591, plain, ![X3882, X3883, X3884]:(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3884),X3883),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3884),X3882))|(X3884=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3883,X3882))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdvd__mult__cancel])])).
% 247.18/174.25  fof(i_0_1592, plain, ![X3879, X3880, X3881]:((~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3880,X3879)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3881),X3880),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3881),X3879))|X3881=c_Groups_Ozero__class_Ozero(tc_Int_Oint))&(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3881),X3880),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3881),X3879))|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X3880,X3879)|X3881=c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdvd__mono])])])).
% 247.18/174.25  fof(i_0_1593, plain, ![X3652, X3653, X3654]:((~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3654),X3653),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3654),X3652))|(X3654=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3653,X3652)))&((X3654!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3654),X3653),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3654),X3652)))&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3653,X3652)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3654),X3653),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3654),X3652))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__dvd__cancel__disj])])])).
% 247.18/174.25  fof(i_0_1594, plain, ![X4028, X4029, X4030]:((~c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4029),X4030),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4028),X4030))|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4029,X4028)|X4030=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4029,X4028)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4029),X4030),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4028),X4030))|X4030=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pow__divides__eq__int])])])).
% 247.18/174.25  fof(i_0_1595, plain, ![X4025, X4026, X4027]:(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4027),X4026),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X4025),X4026))|(X4026=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4027,X4025))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pow__divides__pow__int])])).
% 247.18/174.25  fof(i_0_1596, plain, ![X3872, X3873, X3874]:(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3874),X3873),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3872),X3873))|(X3873=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3874,X3872))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pow__divides__pow__nat])])).
% 247.18/174.25  fof(i_0_1597, plain, ![X3869, X3870, X3871]:((~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3870),X3871),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3869),X3871))|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3870,X3869)|X3871=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3870,X3869)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3870),X3871),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3869),X3871))|X3871=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pow__divides__eq__nat])])])).
% 247.18/174.25  fof(i_0_1598, plain, ![X4647, X4648, X4649]:(((c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4649)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4649),X4648),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4649),X4647)))&(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4648,X4647)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4649),X4648),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4649),X4647))))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4649)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4648,X4647)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4649),X4648),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4649),X4647)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel1])])])).
% 247.18/174.25  fof(i_0_1599, plain, ![X4644, X4645, X4646]:(((c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4645)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4646),X4645),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4644),X4645)))&(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4646,X4644)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4646),X4645),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4644),X4645))))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4645)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4646,X4644)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4646),X4645),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4644),X4645)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__cancel2])])])).
% 247.18/174.25  fof(i_0_1600, plain, ![X5605, X5606]:((c_Divides_Odiv__class_Omod(tc_Int_Oint,X5605,X5606)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5605),X5606)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5605,X5606))|X5606=c_Groups_Ozero__class_Ozero(tc_Int_Oint))&(c_Divides_Odiv__class_Omod(tc_Int_Oint,X5605,X5606)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5605),X5606)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5605,X5606)),c_Groups_Oone__class_Oone(tc_Int_Oint))|X5606=c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__zminus1__eq__if])])])).
% 247.18/174.25  fof(i_0_1601, plain, ![X5603, X5604]:((c_Divides_Odiv__class_Omod(tc_Int_Oint,X5603,X5604)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5603,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5604))=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5603,X5604))|X5604=c_Groups_Ozero__class_Ozero(tc_Int_Oint))&(c_Divides_Odiv__class_Omod(tc_Int_Oint,X5603,X5604)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5603,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5604))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5603,X5604)),c_Groups_Oone__class_Oone(tc_Int_Oint))|X5604=c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__zminus2__eq__if])])])).
% 247.18/174.25  fof(i_0_1602, plain, ![X4535, X4536, X4537]:(~class_Rings_Olinordered__semiring__strict(X4537)|(~c_Orderings_Oord__class_Oless(X4537,c_Groups_Ozero__class_Ozero(X4537),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4537),X4536),X4535))|(~c_Orderings_Oord__class_Oless(X4537,c_Groups_Ozero__class_Ozero(X4537),X4535)|c_Orderings_Oord__class_Oless(X4537,c_Groups_Ozero__class_Ozero(X4537),X4536)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__mult__pos2])])).
% 247.18/174.25  fof(i_0_1603, plain, ![X4538, X4539, X4540]:(~class_Rings_Olinordered__semiring__strict(X4540)|(~c_Orderings_Oord__class_Oless(X4540,c_Groups_Ozero__class_Ozero(X4540),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4540),X4539),X4538))|(~c_Orderings_Oord__class_Oless(X4540,c_Groups_Ozero__class_Ozero(X4540),X4539)|c_Orderings_Oord__class_Oless(X4540,c_Groups_Ozero__class_Ozero(X4540),X4538)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__mult__pos])])).
% 247.18/174.25  fof(i_0_1604, plain, ![X4318, X4319]:(~class_Fields_Ofield(X4319)|c_Polynomial_Opoly__gcd(X4319,X4318,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4319)))=c_Polynomial_Osmult(X4319,c_Rings_Oinverse__class_Oinverse(X4319,hAPP(c_Polynomial_Ocoeff(X4319,X4318),c_Polynomial_Odegree(X4319,X4318))),X4318)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd_Osimps_I1_J])])).
% 247.18/174.25  fof(i_0_1605, plain, ![X5191, X5192, X5193]:((X5192!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5193))|c_Polynomial_Opoly__gcd(X5193,X5191,X5192)=c_Polynomial_Osmult(X5193,c_Rings_Oinverse__class_Oinverse(X5193,hAPP(c_Polynomial_Ocoeff(X5193,X5191),c_Polynomial_Odegree(X5193,X5191))),X5191)|~class_Fields_Ofield(X5193))&(X5192=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5193))|c_Polynomial_Opoly__gcd(X5193,X5191,X5192)=c_Polynomial_Opoly__gcd(X5193,X5192,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5193),X5191,X5192))|~class_Fields_Ofield(X5193))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd__code])])])).
% 247.18/174.25  cnf(i_0_1606, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Nat_OSuc(X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Nat_OSuc(c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2))!=X2), inference(split_conjunct,[status(thm)],[i_0_1194])).
% 247.18/174.25  fof(i_0_1607, plain, ![X3398, X3399, X3400, X3401]:(~class_Rings_Ocomm__semiring__1(X3401)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3401),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3401),X3400),X3399)),X3398)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3401),X3400),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3401),X3399),X3398))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I17_J])])).
% 247.18/174.25  fof(i_0_1608, plain, ![X3182, X3183, X3184, X3185]:(~class_Groups_Oab__semigroup__mult(X3185)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3185),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3185),X3184),X3183)),X3182)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3185),X3184),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3185),X3183),X3182))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ab__semigroup__mult__class_Omult__ac_I1_J])])).
% 247.18/174.25  fof(i_0_1609, plain, ![X3554, X3555, X3556]:(~class_Groups_Omonoid__mult(X3556)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3556),hAPP(hAPP(c_Power_Opower__class_Opower(X3556),X3555),X3554)),X3555)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3556),X3555),hAPP(hAPP(c_Power_Opower__class_Opower(X3556),X3555),X3554))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__commutes])])).
% 247.18/174.25  fof(i_0_1610, plain, ![X3402, X3403, X3404, X3405]:(~class_Rings_Ocomm__semiring__1(X3405)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3405),X3404),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3405),X3403),X3402))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3405),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3405),X3404),X3403)),X3402)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I18_J])])).
% 247.18/174.25  fof(i_0_1611, plain, ![X3246, X3247, X3248, X3249]:(~class_Rings_Ocomm__semiring__1(X3249)|hAPP(c_Polynomial_Opoly(X3249,c_Polynomial_Omonom(X3249,X3248,X3247)),X3246)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3249),X3248),hAPP(hAPP(c_Power_Opower__class_Opower(X3249),X3246),X3247))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__monom])])).
% 247.18/174.25  fof(i_0_1612, plain, ![X3561, X3562, X3563, X3564, X3565]:((X3561=hAPP(c_Polynomial_Opoly(X3565,X3564),X3563)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3565),X3564,c_Polynomial_Osmult(X3565,X3563,X3562))!=c_Polynomial_OpCons(X3565,X3561,X3562)|~class_Rings_Ocomm__semiring__0(X3565))&(X3562=c_Polynomial_Osynthetic__div(X3565,X3564,X3563)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3565),X3564,c_Polynomial_Osmult(X3565,X3563,X3562))!=c_Polynomial_OpCons(X3565,X3561,X3562)|~class_Rings_Ocomm__semiring__0(X3565))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_synthetic__div__unique])])])).
% 247.18/174.25  cnf(i_0_1613, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_OpCons(X1,X2,X3)),c_Nat_OSuc(X4))=hAPP(c_Polynomial_Ocoeff(X1,X3),X4)|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_1203])).
% 247.18/174.25  fof(i_0_1614, plain, ![X5523, X5524, X5525, X5526]:(~class_Divides_Osemiring__div(X5526)|(~c_Rings_Odvd__class_Odvd(X5526,X5525,X5524)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5526),X5523),c_Divides_Odiv__class_Odiv(X5526,X5524,X5525))=c_Divides_Odiv__class_Odiv(X5526,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5526),X5523),X5524),X5525))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__swap])])).
% 247.18/174.25  cnf(i_0_1615, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Nat_OSuc(X1)),X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))), inference(split_conjunct,[status(thm)],[i_0_1204])).
% 247.18/174.25  fof(i_0_1616, plain, ![X3192, X3193, X3194]:(~class_Rings_Oidom(X3194)|(hAPP(c_Polynomial_Ocoeff(X3194,X3193),c_Polynomial_Odegree(X3194,X3193))!=hAPP(c_Polynomial_Ocoeff(X3194,X3192),c_Polynomial_Odegree(X3194,X3192))|(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3194),X3193,X3192)|(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3194),X3192,X3193)|X3193=X3192)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__dvd__antisym])])).
% 247.18/174.25  fof(i_0_1617, plain, ![X3626, X3627, X3628, X3629]:(~class_Rings_Ocomm__semiring__0(X3629)|c_Polynomial_Osynthetic__div(X3629,c_Polynomial_OpCons(X3629,X3628,X3627),X3626)=c_Polynomial_OpCons(X3629,hAPP(c_Polynomial_Opoly(X3629,X3627),X3626),c_Polynomial_Osynthetic__div(X3629,X3627,X3626))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_synthetic__div__pCons])])).
% 247.18/174.25  fof(i_0_1618, plain, ![X3121, X3122, X3123, X3124]:(~class_Rings_Ocomm__semiring__0(X3124)|hAPP(c_Polynomial_Opoly(X3124,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3124,X3123,X3122)),X3121)=hAPP(c_Polynomial_Opoly(X3124,X3123),c_Groups_Oplus__class_Oplus(X3124,X3122,X3121))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__offset__poly])])).
% 247.18/174.25  fof(i_0_1619, plain, ![X3447, X3448, X3449, X3450]:(~class_Groups_Omonoid__mult(X3450)|hAPP(hAPP(c_Power_Opower__class_Opower(X3450),X3449),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3448),X3447))=hAPP(hAPP(c_Power_Opower__class_Opower(X3450),hAPP(hAPP(c_Power_Opower__class_Opower(X3450),X3449),X3448)),X3447)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__mult])])).
% 247.18/174.25  fof(i_0_1620, plain, ![X3443, X3444, X3445, X3446]:(~class_Rings_Ocomm__semiring__1(X3446)|hAPP(hAPP(c_Power_Opower__class_Opower(X3446),hAPP(hAPP(c_Power_Opower__class_Opower(X3446),X3445),X3444)),X3443)=hAPP(hAPP(c_Power_Opower__class_Opower(X3446),X3445),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3444),X3443))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I31_J])])).
% 247.18/174.25  fof(i_0_1621, plain, ![X4787, X4788, X4789]:(~c_Orderings_Oord__class_Oless(tc_Int_Oint,X4789,X4788)|(~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4787)|c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4787),X4789),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4787),X4788)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmult__zless__mono2])])).
% 247.18/174.25  fof(i_0_1622, plain, ![X4641, X4642, X4643]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4643,X4642)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4641)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4643),X4641),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4642),X4641)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__mono1])])).
% 247.18/174.25  fof(i_0_1623, plain, ![X4638, X4639, X4640]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4640,X4639)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4638)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4638),X4640),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4638),X4639)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__less__mono2])])).
% 247.18/174.25  fof(i_0_1624, plain, ![X4054, X4055]:((X4055!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4054),X4055)=c_Groups_Oone__class_Oone(tc_Nat_Onat))&(X4055=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4054),X4055)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4054),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4054),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4055,c_Groups_Oone__class_Oone(tc_Nat_Onat)))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__eq__if])])).
% 247.18/174.25  fof(i_0_1625, plain, ![X4661, X4662, X4663]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4663,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4662,X4661))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4663,X4661),X4662))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4663,X4661),X4662)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4663,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4662,X4661)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__diff__conv])])).
% 247.18/174.25  fof(i_0_1626, plain, ![X5405, X5406, X5407, X5408]:((~c_Rings_Odvd__class_Odvd(X5408,X5407,c_Divides_Odiv__class_Omod(X5408,X5405,X5406))|c_Rings_Odvd__class_Odvd(X5408,X5407,X5405)|~c_Rings_Odvd__class_Odvd(X5408,X5407,X5406)|~class_Divides_Osemiring__div(X5408))&(~c_Rings_Odvd__class_Odvd(X5408,X5407,X5405)|c_Rings_Odvd__class_Odvd(X5408,X5407,c_Divides_Odiv__class_Omod(X5408,X5405,X5406))|~c_Rings_Odvd__class_Odvd(X5408,X5407,X5406)|~class_Divides_Osemiring__div(X5408))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mod__iff])])])).
% 247.18/174.25  fof(i_0_1627, plain, ![X5393, X5394, X5395, X5396]:(~class_Divides_Osemiring__div(X5396)|(~c_Rings_Odvd__class_Odvd(X5396,X5395,c_Divides_Odiv__class_Omod(X5396,X5394,X5393))|(~c_Rings_Odvd__class_Odvd(X5396,X5395,X5393)|c_Rings_Odvd__class_Odvd(X5396,X5395,X5394)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mod__imp__dvd])])).
% 247.18/174.25  fof(i_0_1628, plain, ![X5646, X5647, X5648, X5649]:(~class_Fields_Ofield(X5649)|c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5649),X5648,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5649)),X5647),X5646))=c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5649),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5649),X5648,X5647),X5646)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__div__mult__right])])).
% 247.18/174.25  fof(i_0_1629, plain, ![X5455, X5456]:((~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5455,X5456),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5455)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5456,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))&(~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5455)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5455,X5456),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5456,c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__imp__zdiv__neg__iff])])])).
% 247.18/174.25  fof(i_0_1630, plain, ![X5457, X5458]:((~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5457,X5458),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,X5457,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5458))&(~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5457,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5457,X5458),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5458))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__imp__zdiv__neg__iff])])])).
% 247.18/174.25  fof(i_0_1631, plain, ![X3281, X3282, X3283, X3284]:(~class_Rings_Ocomm__semiring__0(X3284)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3284)),X3283),c_Polynomial_Osmult(X3284,X3282,X3281))=c_Polynomial_Osmult(X3284,X3282,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3284)),X3283),X3281))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__smult__right])])).
% 247.18/174.25  fof(i_0_1632, plain, ![X5770, X5771, X5772]:((((c_Orderings_Oord__class_Oless__eq(X5772,X5771,c_Groups_Ozero__class_Ozero(X5772))|c_Orderings_Oord__class_Oless__eq(X5772,c_Groups_Ozero__class_Ozero(X5772),X5771)|~c_Orderings_Oord__class_Oless__eq(X5772,c_Rings_Oinverse__class_Odivide(X5772,X5771,X5770),c_Groups_Ozero__class_Ozero(X5772))|~class_Fields_Olinordered__field__inverse__zero(X5772))&(c_Orderings_Oord__class_Oless__eq(X5772,c_Groups_Ozero__class_Ozero(X5772),X5770)|c_Orderings_Oord__class_Oless__eq(X5772,c_Groups_Ozero__class_Ozero(X5772),X5771)|~c_Orderings_Oord__class_Oless__eq(X5772,c_Rings_Oinverse__class_Odivide(X5772,X5771,X5770),c_Groups_Ozero__class_Ozero(X5772))|~class_Fields_Olinordered__field__inverse__zero(X5772)))&((c_Orderings_Oord__class_Oless__eq(X5772,X5771,c_Groups_Ozero__class_Ozero(X5772))|c_Orderings_Oord__class_Oless__eq(X5772,X5770,c_Groups_Ozero__class_Ozero(X5772))|~c_Orderings_Oord__class_Oless__eq(X5772,c_Rings_Oinverse__class_Odivide(X5772,X5771,X5770),c_Groups_Ozero__class_Ozero(X5772))|~class_Fields_Olinordered__field__inverse__zero(X5772))&(c_Orderings_Oord__class_Oless__eq(X5772,c_Groups_Ozero__class_Ozero(X5772),X5770)|c_Orderings_Oord__class_Oless__eq(X5772,X5770,c_Groups_Ozero__class_Ozero(X5772))|~c_Orderings_Oord__class_Oless__eq(X5772,c_Rings_Oinverse__class_Odivide(X5772,X5771,X5770),c_Groups_Ozero__class_Ozero(X5772))|~class_Fields_Olinordered__field__inverse__zero(X5772))))&((~c_Orderings_Oord__class_Oless__eq(X5772,c_Groups_Ozero__class_Ozero(X5772),X5771)|~c_Orderings_Oord__class_Oless__eq(X5772,X5770,c_Groups_Ozero__class_Ozero(X5772))|c_Orderings_Oord__class_Oless__eq(X5772,c_Rings_Oinverse__class_Odivide(X5772,X5771,X5770),c_Groups_Ozero__class_Ozero(X5772))|~class_Fields_Olinordered__field__inverse__zero(X5772))&(~c_Orderings_Oord__class_Oless__eq(X5772,X5771,c_Groups_Ozero__class_Ozero(X5772))|~c_Orderings_Oord__class_Oless__eq(X5772,c_Groups_Ozero__class_Ozero(X5772),X5770)|c_Orderings_Oord__class_Oless__eq(X5772,c_Rings_Oinverse__class_Odivide(X5772,X5771,X5770),c_Groups_Ozero__class_Ozero(X5772))|~class_Fields_Olinordered__field__inverse__zero(X5772)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__le__0__iff])])])).
% 247.18/174.25  fof(i_0_1633, plain, ![X4908, X4909, X4910]:((((c_Orderings_Oord__class_Oless(X4910,X4909,c_Groups_Ozero__class_Ozero(X4910))|c_Orderings_Oord__class_Oless(X4910,c_Groups_Ozero__class_Ozero(X4910),X4909)|~c_Orderings_Oord__class_Oless(X4910,c_Rings_Oinverse__class_Odivide(X4910,X4909,X4908),c_Groups_Ozero__class_Ozero(X4910))|~class_Fields_Olinordered__field__inverse__zero(X4910))&(c_Orderings_Oord__class_Oless(X4910,c_Groups_Ozero__class_Ozero(X4910),X4908)|c_Orderings_Oord__class_Oless(X4910,c_Groups_Ozero__class_Ozero(X4910),X4909)|~c_Orderings_Oord__class_Oless(X4910,c_Rings_Oinverse__class_Odivide(X4910,X4909,X4908),c_Groups_Ozero__class_Ozero(X4910))|~class_Fields_Olinordered__field__inverse__zero(X4910)))&((c_Orderings_Oord__class_Oless(X4910,X4909,c_Groups_Ozero__class_Ozero(X4910))|c_Orderings_Oord__class_Oless(X4910,X4908,c_Groups_Ozero__class_Ozero(X4910))|~c_Orderings_Oord__class_Oless(X4910,c_Rings_Oinverse__class_Odivide(X4910,X4909,X4908),c_Groups_Ozero__class_Ozero(X4910))|~class_Fields_Olinordered__field__inverse__zero(X4910))&(c_Orderings_Oord__class_Oless(X4910,c_Groups_Ozero__class_Ozero(X4910),X4908)|c_Orderings_Oord__class_Oless(X4910,X4908,c_Groups_Ozero__class_Ozero(X4910))|~c_Orderings_Oord__class_Oless(X4910,c_Rings_Oinverse__class_Odivide(X4910,X4909,X4908),c_Groups_Ozero__class_Ozero(X4910))|~class_Fields_Olinordered__field__inverse__zero(X4910))))&((~c_Orderings_Oord__class_Oless(X4910,c_Groups_Ozero__class_Ozero(X4910),X4909)|~c_Orderings_Oord__class_Oless(X4910,X4908,c_Groups_Ozero__class_Ozero(X4910))|c_Orderings_Oord__class_Oless(X4910,c_Rings_Oinverse__class_Odivide(X4910,X4909,X4908),c_Groups_Ozero__class_Ozero(X4910))|~class_Fields_Olinordered__field__inverse__zero(X4910))&(~c_Orderings_Oord__class_Oless(X4910,X4909,c_Groups_Ozero__class_Ozero(X4910))|~c_Orderings_Oord__class_Oless(X4910,c_Groups_Ozero__class_Ozero(X4910),X4908)|c_Orderings_Oord__class_Oless(X4910,c_Rings_Oinverse__class_Odivide(X4910,X4909,X4908),c_Groups_Ozero__class_Ozero(X4910))|~class_Fields_Olinordered__field__inverse__zero(X4910)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__less__0__iff])])])).
% 247.18/174.25  fof(i_0_1634, plain, ![X5767, X5768, X5769]:((((c_Orderings_Oord__class_Oless__eq(X5769,X5768,c_Groups_Ozero__class_Ozero(X5769))|c_Orderings_Oord__class_Oless__eq(X5769,c_Groups_Ozero__class_Ozero(X5769),X5768)|~c_Orderings_Oord__class_Oless__eq(X5769,c_Groups_Ozero__class_Ozero(X5769),c_Rings_Oinverse__class_Odivide(X5769,X5768,X5767))|~class_Fields_Olinordered__field__inverse__zero(X5769))&(c_Orderings_Oord__class_Oless__eq(X5769,X5767,c_Groups_Ozero__class_Ozero(X5769))|c_Orderings_Oord__class_Oless__eq(X5769,c_Groups_Ozero__class_Ozero(X5769),X5768)|~c_Orderings_Oord__class_Oless__eq(X5769,c_Groups_Ozero__class_Ozero(X5769),c_Rings_Oinverse__class_Odivide(X5769,X5768,X5767))|~class_Fields_Olinordered__field__inverse__zero(X5769)))&((c_Orderings_Oord__class_Oless__eq(X5769,X5768,c_Groups_Ozero__class_Ozero(X5769))|c_Orderings_Oord__class_Oless__eq(X5769,c_Groups_Ozero__class_Ozero(X5769),X5767)|~c_Orderings_Oord__class_Oless__eq(X5769,c_Groups_Ozero__class_Ozero(X5769),c_Rings_Oinverse__class_Odivide(X5769,X5768,X5767))|~class_Fields_Olinordered__field__inverse__zero(X5769))&(c_Orderings_Oord__class_Oless__eq(X5769,X5767,c_Groups_Ozero__class_Ozero(X5769))|c_Orderings_Oord__class_Oless__eq(X5769,c_Groups_Ozero__class_Ozero(X5769),X5767)|~c_Orderings_Oord__class_Oless__eq(X5769,c_Groups_Ozero__class_Ozero(X5769),c_Rings_Oinverse__class_Odivide(X5769,X5768,X5767))|~class_Fields_Olinordered__field__inverse__zero(X5769))))&((~c_Orderings_Oord__class_Oless__eq(X5769,c_Groups_Ozero__class_Ozero(X5769),X5768)|~c_Orderings_Oord__class_Oless__eq(X5769,c_Groups_Ozero__class_Ozero(X5769),X5767)|c_Orderings_Oord__class_Oless__eq(X5769,c_Groups_Ozero__class_Ozero(X5769),c_Rings_Oinverse__class_Odivide(X5769,X5768,X5767))|~class_Fields_Olinordered__field__inverse__zero(X5769))&(~c_Orderings_Oord__class_Oless__eq(X5769,X5768,c_Groups_Ozero__class_Ozero(X5769))|~c_Orderings_Oord__class_Oless__eq(X5769,X5767,c_Groups_Ozero__class_Ozero(X5769))|c_Orderings_Oord__class_Oless__eq(X5769,c_Groups_Ozero__class_Ozero(X5769),c_Rings_Oinverse__class_Odivide(X5769,X5768,X5767))|~class_Fields_Olinordered__field__inverse__zero(X5769)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__divide__iff])])])).
% 247.18/174.25  fof(i_0_1635, plain, ![X4905, X4906, X4907]:((((c_Orderings_Oord__class_Oless(X4907,X4906,c_Groups_Ozero__class_Ozero(X4907))|c_Orderings_Oord__class_Oless(X4907,c_Groups_Ozero__class_Ozero(X4907),X4906)|~c_Orderings_Oord__class_Oless(X4907,c_Groups_Ozero__class_Ozero(X4907),c_Rings_Oinverse__class_Odivide(X4907,X4906,X4905))|~class_Fields_Olinordered__field__inverse__zero(X4907))&(c_Orderings_Oord__class_Oless(X4907,X4905,c_Groups_Ozero__class_Ozero(X4907))|c_Orderings_Oord__class_Oless(X4907,c_Groups_Ozero__class_Ozero(X4907),X4906)|~c_Orderings_Oord__class_Oless(X4907,c_Groups_Ozero__class_Ozero(X4907),c_Rings_Oinverse__class_Odivide(X4907,X4906,X4905))|~class_Fields_Olinordered__field__inverse__zero(X4907)))&((c_Orderings_Oord__class_Oless(X4907,X4906,c_Groups_Ozero__class_Ozero(X4907))|c_Orderings_Oord__class_Oless(X4907,c_Groups_Ozero__class_Ozero(X4907),X4905)|~c_Orderings_Oord__class_Oless(X4907,c_Groups_Ozero__class_Ozero(X4907),c_Rings_Oinverse__class_Odivide(X4907,X4906,X4905))|~class_Fields_Olinordered__field__inverse__zero(X4907))&(c_Orderings_Oord__class_Oless(X4907,X4905,c_Groups_Ozero__class_Ozero(X4907))|c_Orderings_Oord__class_Oless(X4907,c_Groups_Ozero__class_Ozero(X4907),X4905)|~c_Orderings_Oord__class_Oless(X4907,c_Groups_Ozero__class_Ozero(X4907),c_Rings_Oinverse__class_Odivide(X4907,X4906,X4905))|~class_Fields_Olinordered__field__inverse__zero(X4907))))&((~c_Orderings_Oord__class_Oless(X4907,c_Groups_Ozero__class_Ozero(X4907),X4906)|~c_Orderings_Oord__class_Oless(X4907,c_Groups_Ozero__class_Ozero(X4907),X4905)|c_Orderings_Oord__class_Oless(X4907,c_Groups_Ozero__class_Ozero(X4907),c_Rings_Oinverse__class_Odivide(X4907,X4906,X4905))|~class_Fields_Olinordered__field__inverse__zero(X4907))&(~c_Orderings_Oord__class_Oless(X4907,X4906,c_Groups_Ozero__class_Ozero(X4907))|~c_Orderings_Oord__class_Oless(X4907,X4905,c_Groups_Ozero__class_Ozero(X4907))|c_Orderings_Oord__class_Oless(X4907,c_Groups_Ozero__class_Ozero(X4907),c_Rings_Oinverse__class_Odivide(X4907,X4906,X4905))|~class_Fields_Olinordered__field__inverse__zero(X4907)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__divide__iff])])])).
% 247.18/174.25  fof(i_0_1636, plain, ![X3329, X3330, X3331, X3332]:(~class_Rings_Ocomm__semiring__0(X3332)|hAPP(c_Polynomial_Ocoeff(X3332,c_Polynomial_Osmult(X3332,X3331,X3330)),X3329)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3332),X3331),hAPP(c_Polynomial_Ocoeff(X3332,X3330),X3329))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__smult])])).
% 247.18/174.25  fof(i_0_1637, plain, ![X3333, X3334, X3335, X3336]:(~class_Rings_Ocomm__semiring__0(X3336)|hAPP(c_Polynomial_Opoly(X3336,c_Polynomial_Osmult(X3336,X3335,X3334)),X3333)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3336),X3335),hAPP(c_Polynomial_Opoly(X3336,X3334),X3333))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__smult])])).
% 247.18/174.25  fof(i_0_1638, plain, ![X5221, X5222, X5223]:c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5223),X5222),X5221),X5222)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5221,X5222), inference(variable_rename,[status(thm)],[fact_mod__mult__self3])).
% 247.18/174.25  fof(i_0_1639, plain, ![X5553, X5554, X5555]:(~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5555)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5554,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5553),X5555))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5554,X5553),X5555)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__zmult2__eq])])).
% 247.18/174.25  fof(i_0_1640, plain, ![X5718, X5719, X5720]:((((c_Orderings_Oord__class_Oless__eq(X5720,X5719,c_Groups_Ozero__class_Ozero(X5720))|c_Orderings_Oord__class_Oless__eq(X5720,c_Groups_Ozero__class_Ozero(X5720),X5719)|~c_Orderings_Oord__class_Oless__eq(X5720,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5720),X5719),X5718),c_Groups_Ozero__class_Ozero(X5720))|~class_Rings_Olinordered__ring__strict(X5720))&(c_Orderings_Oord__class_Oless__eq(X5720,c_Groups_Ozero__class_Ozero(X5720),X5718)|c_Orderings_Oord__class_Oless__eq(X5720,c_Groups_Ozero__class_Ozero(X5720),X5719)|~c_Orderings_Oord__class_Oless__eq(X5720,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5720),X5719),X5718),c_Groups_Ozero__class_Ozero(X5720))|~class_Rings_Olinordered__ring__strict(X5720)))&((c_Orderings_Oord__class_Oless__eq(X5720,X5719,c_Groups_Ozero__class_Ozero(X5720))|c_Orderings_Oord__class_Oless__eq(X5720,X5718,c_Groups_Ozero__class_Ozero(X5720))|~c_Orderings_Oord__class_Oless__eq(X5720,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5720),X5719),X5718),c_Groups_Ozero__class_Ozero(X5720))|~class_Rings_Olinordered__ring__strict(X5720))&(c_Orderings_Oord__class_Oless__eq(X5720,c_Groups_Ozero__class_Ozero(X5720),X5718)|c_Orderings_Oord__class_Oless__eq(X5720,X5718,c_Groups_Ozero__class_Ozero(X5720))|~c_Orderings_Oord__class_Oless__eq(X5720,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5720),X5719),X5718),c_Groups_Ozero__class_Ozero(X5720))|~class_Rings_Olinordered__ring__strict(X5720))))&((~c_Orderings_Oord__class_Oless__eq(X5720,c_Groups_Ozero__class_Ozero(X5720),X5719)|~c_Orderings_Oord__class_Oless__eq(X5720,X5718,c_Groups_Ozero__class_Ozero(X5720))|c_Orderings_Oord__class_Oless__eq(X5720,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5720),X5719),X5718),c_Groups_Ozero__class_Ozero(X5720))|~class_Rings_Olinordered__ring__strict(X5720))&(~c_Orderings_Oord__class_Oless__eq(X5720,X5719,c_Groups_Ozero__class_Ozero(X5720))|~c_Orderings_Oord__class_Oless__eq(X5720,c_Groups_Ozero__class_Ozero(X5720),X5718)|c_Orderings_Oord__class_Oless__eq(X5720,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5720),X5719),X5718),c_Groups_Ozero__class_Ozero(X5720))|~class_Rings_Olinordered__ring__strict(X5720)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__le__0__iff])])])).
% 247.18/174.25  fof(i_0_1641, plain, ![X5721, X5722, X5723]:((((c_Orderings_Oord__class_Oless__eq(X5723,X5722,c_Groups_Ozero__class_Ozero(X5723))|c_Orderings_Oord__class_Oless__eq(X5723,c_Groups_Ozero__class_Ozero(X5723),X5722)|~c_Orderings_Oord__class_Oless__eq(X5723,c_Groups_Ozero__class_Ozero(X5723),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5723),X5722),X5721))|~class_Rings_Olinordered__ring__strict(X5723))&(c_Orderings_Oord__class_Oless__eq(X5723,X5721,c_Groups_Ozero__class_Ozero(X5723))|c_Orderings_Oord__class_Oless__eq(X5723,c_Groups_Ozero__class_Ozero(X5723),X5722)|~c_Orderings_Oord__class_Oless__eq(X5723,c_Groups_Ozero__class_Ozero(X5723),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5723),X5722),X5721))|~class_Rings_Olinordered__ring__strict(X5723)))&((c_Orderings_Oord__class_Oless__eq(X5723,X5722,c_Groups_Ozero__class_Ozero(X5723))|c_Orderings_Oord__class_Oless__eq(X5723,c_Groups_Ozero__class_Ozero(X5723),X5721)|~c_Orderings_Oord__class_Oless__eq(X5723,c_Groups_Ozero__class_Ozero(X5723),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5723),X5722),X5721))|~class_Rings_Olinordered__ring__strict(X5723))&(c_Orderings_Oord__class_Oless__eq(X5723,X5721,c_Groups_Ozero__class_Ozero(X5723))|c_Orderings_Oord__class_Oless__eq(X5723,c_Groups_Ozero__class_Ozero(X5723),X5721)|~c_Orderings_Oord__class_Oless__eq(X5723,c_Groups_Ozero__class_Ozero(X5723),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5723),X5722),X5721))|~class_Rings_Olinordered__ring__strict(X5723))))&((~c_Orderings_Oord__class_Oless__eq(X5723,c_Groups_Ozero__class_Ozero(X5723),X5722)|~c_Orderings_Oord__class_Oless__eq(X5723,c_Groups_Ozero__class_Ozero(X5723),X5721)|c_Orderings_Oord__class_Oless__eq(X5723,c_Groups_Ozero__class_Ozero(X5723),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5723),X5722),X5721))|~class_Rings_Olinordered__ring__strict(X5723))&(~c_Orderings_Oord__class_Oless__eq(X5723,X5722,c_Groups_Ozero__class_Ozero(X5723))|~c_Orderings_Oord__class_Oless__eq(X5723,X5721,c_Groups_Ozero__class_Ozero(X5723))|c_Orderings_Oord__class_Oless__eq(X5723,c_Groups_Ozero__class_Ozero(X5723),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5723),X5722),X5721))|~class_Rings_Olinordered__ring__strict(X5723)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__mult__iff])])])).
% 247.18/174.25  fof(i_0_1642, plain, ![X5245, X5246, X5247]:(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X5247,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5246,X5245))|(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X5247,X5245)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X5247,X5246))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdvd__zmod__imp__zdvd])])).
% 247.18/174.25  fof(i_0_1643, plain, ![X4305, X4306, X4307]:(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4307,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4306,X4305))|(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4307,X4305)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4307,X4306))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdvd__zdiffD])])).
% 247.18/174.25  fof(i_0_1644, plain, ![X4297, X4298, X4299]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4299),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4298,X4297))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4299),X4298),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4299),X4297)), inference(variable_rename,[status(thm)],[fact_zdiff__zmult__distrib2])).
% 247.18/174.25  fof(i_0_1645, plain, ![X3889, X3890, X3891]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3891),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3890,X3889))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3891),X3890),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3891),X3889)), inference(variable_rename,[status(thm)],[fact_zadd__zmult__distrib2])).
% 247.18/174.25  fof(i_0_1646, plain, ![X5240, X5241, X5242]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5242),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5241,X5240))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5242),X5241),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5242),X5240)), inference(variable_rename,[status(thm)],[fact_mod__mult__distrib2])).
% 247.18/174.25  fof(i_0_1647, plain, ![X4195, X4196, X4197]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4197),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4196,X4195))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4197),X4196),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4197),X4195)), inference(variable_rename,[status(thm)],[fact_diff__mult__distrib2])).
% 247.18/174.25  fof(i_0_1648, plain, ![X3616, X3617, X3618]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3618),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3617,X3616))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3618),X3617),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3618),X3616)), inference(variable_rename,[status(thm)],[fact_add__mult__distrib2])).
% 247.18/174.25  fof(i_0_1649, plain, ![X5386, X5387, X5388]:(~class_Divides_Oring__div(X5388)|c_Divides_Odiv__class_Omod(X5388,c_Groups_Ouminus__class_Ouminus(X5388,X5387),X5386)=c_Divides_Odiv__class_Omod(X5388,c_Groups_Ouminus__class_Ouminus(X5388,c_Divides_Odiv__class_Omod(X5388,X5387,X5386)),X5386)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__minus__eq])])).
% 247.18/174.25  fof(i_0_1650, plain, ![X3109, X3110, X3111, X3112]:(~class_Rings_Ocomm__semiring__0(X3112)|hAPP(c_Polynomial_Opoly(X3112,c_Polynomial_Opcompose(X3112,X3111,X3110)),X3109)=hAPP(c_Polynomial_Opoly(X3112,X3111),hAPP(c_Polynomial_Opoly(X3112,X3110),X3109))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__pcompose])])).
% 247.18/174.25  fof(i_0_1651, plain, ![X3819, X3820]:(~class_Rings_Ocomm__semiring__1(X3820)|c_Groups_Oplus__class_Oplus(X3820,X3819,X3819)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3820),c_Groups_Oplus__class_Oplus(X3820,c_Groups_Oone__class_Oone(X3820),c_Groups_Oone__class_Oone(X3820))),X3819)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I4_J])])).
% 247.18/174.25  fof(i_0_1652, plain, ![X5883, X5884, X5885]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X5885)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5885),X5884),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5885),X5883))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5884,X5883)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__div__cancel1])])).
% 247.18/174.25  cnf(i_0_1653, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)))), inference(split_conjunct,[status(thm)],[i_0_1205])).
% 247.18/174.25  cnf(i_0_1654, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)))), inference(split_conjunct,[status(thm)],[i_0_1206])).
% 247.18/174.25  fof(i_0_1655, plain, ![X4211, X4212, X4213, X4214]:(~class_Fields_Ofield(X4214)|(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4214),X4213,X4212)|(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4214),X4213,X4211)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4214),X4213,c_Polynomial_Opoly__gcd(X4214,X4212,X4211))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd__greatest])])).
% 247.18/174.25  fof(i_0_1656, plain, ![X4207, X4208, X4209, X4210]:(((c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4210),X4209,X4208)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4210),X4209,c_Polynomial_Opoly__gcd(X4210,X4208,X4207))|~class_Fields_Ofield(X4210))&(c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4210),X4209,X4207)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4210),X4209,c_Polynomial_Opoly__gcd(X4210,X4208,X4207))|~class_Fields_Ofield(X4210)))&(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4210),X4209,X4208)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4210),X4209,X4207)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4210),X4209,c_Polynomial_Opoly__gcd(X4210,X4208,X4207))|~class_Fields_Ofield(X4210))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__poly__gcd__iff])])])).
% 247.18/174.25  fof(i_0_1657, plain, ![X4917, X4918, X4919]:(~class_Fields_Olinordered__field(X4919)|(~c_Orderings_Oord__class_Oless(X4919,X4918,c_Groups_Ozero__class_Ozero(X4919))|(~c_Orderings_Oord__class_Oless(X4919,c_Groups_Ozero__class_Ozero(X4919),X4917)|c_Orderings_Oord__class_Oless(X4919,c_Rings_Oinverse__class_Odivide(X4919,X4918,X4917),c_Groups_Ozero__class_Ozero(X4919))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__neg__pos])])).
% 247.18/174.25  fof(i_0_1658, plain, ![X4914, X4915, X4916]:(~class_Fields_Olinordered__field(X4916)|(~c_Orderings_Oord__class_Oless(X4916,c_Groups_Ozero__class_Ozero(X4916),X4915)|(~c_Orderings_Oord__class_Oless(X4916,X4914,c_Groups_Ozero__class_Ozero(X4916))|c_Orderings_Oord__class_Oless(X4916,c_Rings_Oinverse__class_Odivide(X4916,X4915,X4914),c_Groups_Ozero__class_Ozero(X4916))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__pos__neg])])).
% 247.18/174.25  fof(i_0_1659, plain, ![X5744, X5745, X5746]:(~class_Groups_Oordered__comm__monoid__add(X5746)|(~c_Orderings_Oord__class_Oless__eq(X5746,X5745,c_Groups_Ozero__class_Ozero(X5746))|(~c_Orderings_Oord__class_Oless__eq(X5746,X5744,c_Groups_Ozero__class_Ozero(X5746))|c_Orderings_Oord__class_Oless__eq(X5746,c_Groups_Oplus__class_Oplus(X5746,X5745,X5744),c_Groups_Ozero__class_Ozero(X5746))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonpos__nonpos])])).
% 247.18/174.25  fof(i_0_1660, plain, ![X4577, X4578, X4579]:(~class_Groups_Oordered__comm__monoid__add(X4579)|(~c_Orderings_Oord__class_Oless(X4579,X4578,c_Groups_Ozero__class_Ozero(X4579))|(~c_Orderings_Oord__class_Oless(X4579,X4577,c_Groups_Ozero__class_Ozero(X4579))|c_Orderings_Oord__class_Oless(X4579,c_Groups_Oplus__class_Oplus(X4579,X4578,X4577),c_Groups_Ozero__class_Ozero(X4579))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__neg__neg])])).
% 247.18/174.25  fof(i_0_1661, plain, ![X5730, X5731, X5732]:(~class_Groups_Oordered__comm__monoid__add(X5732)|(~c_Orderings_Oord__class_Oless__eq(X5732,c_Groups_Ozero__class_Ozero(X5732),X5731)|(~c_Orderings_Oord__class_Oless__eq(X5732,c_Groups_Ozero__class_Ozero(X5732),X5730)|c_Orderings_Oord__class_Oless__eq(X5732,c_Groups_Ozero__class_Ozero(X5732),c_Groups_Oplus__class_Oplus(X5732,X5731,X5730))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonneg__nonneg])])).
% 247.18/174.25  fof(i_0_1662, plain, ![X4911, X4912, X4913]:(~class_Fields_Olinordered__field(X4913)|(~c_Orderings_Oord__class_Oless(X4913,c_Groups_Ozero__class_Ozero(X4913),X4912)|(~c_Orderings_Oord__class_Oless(X4913,c_Groups_Ozero__class_Ozero(X4913),X4911)|c_Orderings_Oord__class_Oless(X4913,c_Groups_Ozero__class_Ozero(X4913),c_Rings_Oinverse__class_Odivide(X4913,X4912,X4911))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__pos__pos])])).
% 247.18/174.25  fof(i_0_1663, plain, ![X5946, X5947, X5948]:(~class_Groups_Oordered__comm__monoid__add(X5948)|(~c_Orderings_Oord__class_Oless(X5948,c_Groups_Ozero__class_Ozero(X5948),X5947)|(~c_Orderings_Oord__class_Oless__eq(X5948,c_Groups_Ozero__class_Ozero(X5948),X5946)|c_Orderings_Oord__class_Oless(X5948,c_Groups_Ozero__class_Ozero(X5948),c_Groups_Oplus__class_Oplus(X5948,X5947,X5946))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__pos__nonneg])])).
% 247.18/174.25  fof(i_0_1664, plain, ![X5949, X5950, X5951]:(~class_Groups_Oordered__comm__monoid__add(X5951)|(~c_Orderings_Oord__class_Oless__eq(X5951,c_Groups_Ozero__class_Ozero(X5951),X5950)|(~c_Orderings_Oord__class_Oless(X5951,c_Groups_Ozero__class_Ozero(X5951),X5949)|c_Orderings_Oord__class_Oless(X5951,c_Groups_Ozero__class_Ozero(X5951),c_Groups_Oplus__class_Oplus(X5951,X5950,X5949))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonneg__pos])])).
% 247.18/174.25  fof(i_0_1665, plain, ![X4574, X4575, X4576]:(~class_Groups_Oordered__comm__monoid__add(X4576)|(~c_Orderings_Oord__class_Oless(X4576,c_Groups_Ozero__class_Ozero(X4576),X4575)|(~c_Orderings_Oord__class_Oless(X4576,c_Groups_Ozero__class_Ozero(X4576),X4574)|c_Orderings_Oord__class_Oless(X4576,c_Groups_Ozero__class_Ozero(X4576),c_Groups_Oplus__class_Oplus(X4576,X4575,X4574))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__pos__pos])])).
% 247.18/174.25  fof(i_0_1666, plain, ![X4920, X4921, X4922]:(~class_Fields_Olinordered__field(X4922)|(~c_Orderings_Oord__class_Oless(X4922,X4921,c_Groups_Ozero__class_Ozero(X4922))|(~c_Orderings_Oord__class_Oless(X4922,X4920,c_Groups_Ozero__class_Ozero(X4922))|c_Orderings_Oord__class_Oless(X4922,c_Groups_Ozero__class_Ozero(X4922),c_Rings_Oinverse__class_Odivide(X4922,X4921,X4920))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__neg__neg])])).
% 247.18/174.25  fof(i_0_1667, plain, ![X4620, X4621]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4621,X4620))|(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4621)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4620)))&((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4621)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4621,X4620)))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4620)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4621,X4620))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__gr__0])])])).
% 247.18/174.25  fof(i_0_1668, plain, ![X3897, X3898, X3899]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3899),X3898)),X3897)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3899),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3898),X3897)), inference(variable_rename,[status(thm)],[fact_zmult__assoc])).
% 247.18/174.25  fof(i_0_1669, plain, ![X3589, X3590, X3591]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3591),X3590)),X3589)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3591),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3590),X3589)), inference(variable_rename,[status(thm)],[fact_nat__mult__assoc])).
% 247.18/174.25  fof(i_0_1670, plain, ![X3853, X3854, X3855]:hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X3855),X3854)),X3853)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X3855),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3854),X3853)), inference(variable_rename,[status(thm)],[fact_zpower__zpower])).
% 247.18/174.25  fof(i_0_1671, plain, ![X5706, X5707, X5708]:(~class_Rings_Oordered__cancel__semiring(X5708)|(~c_Orderings_Oord__class_Oless__eq(X5708,X5707,c_Groups_Ozero__class_Ozero(X5708))|(~c_Orderings_Oord__class_Oless__eq(X5708,c_Groups_Ozero__class_Ozero(X5708),X5706)|c_Orderings_Oord__class_Oless__eq(X5708,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5708),X5707),X5706),c_Groups_Ozero__class_Ozero(X5708))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonpos__nonneg])])).
% 247.18/174.25  fof(i_0_1672, plain, ![X5667, X5668, X5669]:((~c_Orderings_Oord__class_Oless__eq(X5669,c_Groups_Ozero__class_Ozero(X5669),X5668)|~c_Orderings_Oord__class_Oless__eq(X5669,X5667,c_Groups_Ozero__class_Ozero(X5669))|c_Orderings_Oord__class_Oless__eq(X5669,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5669),X5668),X5667),c_Groups_Ozero__class_Ozero(X5669))|~class_Rings_Oordered__cancel__semiring(X5669))&(~c_Orderings_Oord__class_Oless__eq(X5669,X5668,c_Groups_Ozero__class_Ozero(X5669))|~c_Orderings_Oord__class_Oless__eq(X5669,c_Groups_Ozero__class_Ozero(X5669),X5667)|c_Orderings_Oord__class_Oless__eq(X5669,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5669),X5668),X5667),c_Groups_Ozero__class_Ozero(X5669))|~class_Rings_Oordered__cancel__semiring(X5669))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__mult__neg__le])])])).
% 247.18/174.25  fof(i_0_1673, plain, ![X5712, X5713, X5714]:(~class_Rings_Oordered__cancel__semiring(X5714)|(~c_Orderings_Oord__class_Oless__eq(X5714,c_Groups_Ozero__class_Ozero(X5714),X5713)|(~c_Orderings_Oord__class_Oless__eq(X5714,X5712,c_Groups_Ozero__class_Ozero(X5714))|c_Orderings_Oord__class_Oless__eq(X5714,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5714),X5713),X5712),c_Groups_Ozero__class_Ozero(X5714))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonneg__nonpos])])).
% 247.18/174.25  fof(i_0_1674, plain, ![X5709, X5710, X5711]:(~class_Rings_Oordered__cancel__semiring(X5711)|(~c_Orderings_Oord__class_Oless__eq(X5711,c_Groups_Ozero__class_Ozero(X5711),X5710)|(~c_Orderings_Oord__class_Oless__eq(X5711,X5709,c_Groups_Ozero__class_Ozero(X5711))|c_Orderings_Oord__class_Oless__eq(X5711,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5711),X5709),X5710),c_Groups_Ozero__class_Ozero(X5711))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonneg__nonpos2])])).
% 247.18/174.25  fof(i_0_1675, plain, ![X4528, X4529, X4530]:(~class_Rings_Olinordered__semiring__strict(X4530)|(~c_Orderings_Oord__class_Oless(X4530,X4529,c_Groups_Ozero__class_Ozero(X4530))|(~c_Orderings_Oord__class_Oless(X4530,c_Groups_Ozero__class_Ozero(X4530),X4528)|c_Orderings_Oord__class_Oless(X4530,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4530),X4529),X4528),c_Groups_Ozero__class_Ozero(X4530))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__neg__pos])])).
% 247.18/174.25  fof(i_0_1676, plain, ![X4544, X4545, X4546]:(~class_Rings_Olinordered__semiring__strict(X4546)|(~c_Orderings_Oord__class_Oless(X4546,c_Groups_Ozero__class_Ozero(X4546),X4545)|(~c_Orderings_Oord__class_Oless(X4546,X4544,c_Groups_Ozero__class_Ozero(X4546))|c_Orderings_Oord__class_Oless(X4546,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4546),X4545),X4544),c_Groups_Ozero__class_Ozero(X4546))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pos__neg])])).
% 247.18/174.25  fof(i_0_1677, plain, ![X4541, X4542, X4543]:(~class_Rings_Olinordered__semiring__strict(X4543)|(~c_Orderings_Oord__class_Oless(X4543,c_Groups_Ozero__class_Ozero(X4543),X4542)|(~c_Orderings_Oord__class_Oless(X4543,X4541,c_Groups_Ozero__class_Ozero(X4543))|c_Orderings_Oord__class_Oless(X4543,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4543),X4541),X4542),c_Groups_Ozero__class_Ozero(X4543))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pos__neg2])])).
% 247.18/174.25  fof(i_0_1678, plain, ![X5715, X5716, X5717]:(~class_Rings_Oordered__cancel__semiring(X5717)|(~c_Orderings_Oord__class_Oless__eq(X5717,c_Groups_Ozero__class_Ozero(X5717),X5716)|(~c_Orderings_Oord__class_Oless__eq(X5717,c_Groups_Ozero__class_Ozero(X5717),X5715)|c_Orderings_Oord__class_Oless__eq(X5717,c_Groups_Ozero__class_Ozero(X5717),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5717),X5716),X5715))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonneg__nonneg])])).
% 247.18/174.25  fof(i_0_1679, plain, ![X5670, X5671, X5672]:((~c_Orderings_Oord__class_Oless__eq(X5672,c_Groups_Ozero__class_Ozero(X5672),X5671)|~c_Orderings_Oord__class_Oless__eq(X5672,c_Groups_Ozero__class_Ozero(X5672),X5670)|c_Orderings_Oord__class_Oless__eq(X5672,c_Groups_Ozero__class_Ozero(X5672),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5672),X5671),X5670))|~class_Rings_Oordered__ring(X5672))&(~c_Orderings_Oord__class_Oless__eq(X5672,X5671,c_Groups_Ozero__class_Ozero(X5672))|~c_Orderings_Oord__class_Oless__eq(X5672,X5670,c_Groups_Ozero__class_Ozero(X5672))|c_Orderings_Oord__class_Oless__eq(X5672,c_Groups_Ozero__class_Ozero(X5672),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5672),X5671),X5670))|~class_Rings_Oordered__ring(X5672))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_split__mult__pos__le])])])).
% 247.18/174.25  fof(i_0_1680, plain, ![X4593, X4594, X4595]:(~class_Rings_Olinordered__semidom(X4595)|(~c_Orderings_Oord__class_Oless(X4595,c_Groups_Oone__class_Oone(X4595),X4594)|(~c_Orderings_Oord__class_Oless(X4595,c_Groups_Oone__class_Oone(X4595),X4593)|c_Orderings_Oord__class_Oless(X4595,c_Groups_Oone__class_Oone(X4595),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4595),X4594),X4593))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__1__mult])])).
% 247.18/174.25  fof(i_0_1681, plain, ![X4547, X4548, X4549]:(~class_Rings_Olinordered__semiring__strict(X4549)|(~c_Orderings_Oord__class_Oless(X4549,c_Groups_Ozero__class_Ozero(X4549),X4548)|(~c_Orderings_Oord__class_Oless(X4549,c_Groups_Ozero__class_Ozero(X4549),X4547)|c_Orderings_Oord__class_Oless(X4549,c_Groups_Ozero__class_Ozero(X4549),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4549),X4548),X4547))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__pos__pos])])).
% 247.18/174.25  fof(i_0_1682, plain, ![X5703, X5704, X5705]:(~class_Rings_Oordered__ring(X5705)|(~c_Orderings_Oord__class_Oless__eq(X5705,X5704,c_Groups_Ozero__class_Ozero(X5705))|(~c_Orderings_Oord__class_Oless__eq(X5705,X5703,c_Groups_Ozero__class_Ozero(X5705))|c_Orderings_Oord__class_Oless__eq(X5705,c_Groups_Ozero__class_Ozero(X5705),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5705),X5704),X5703))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__nonpos__nonpos])])).
% 247.18/174.25  fof(i_0_1683, plain, ![X4525, X4526, X4527]:(~class_Rings_Olinordered__ring__strict(X4527)|(~c_Orderings_Oord__class_Oless(X4527,X4526,c_Groups_Ozero__class_Ozero(X4527))|(~c_Orderings_Oord__class_Oless(X4527,X4525,c_Groups_Ozero__class_Ozero(X4527))|c_Orderings_Oord__class_Oless(X4527,c_Groups_Ozero__class_Ozero(X4527),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4527),X4526),X4525))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__neg__neg])])).
% 247.18/174.25  fof(i_0_1684, plain, ![X5830, X5831, X5832, X5833]:(~class_Groups_Oordered__ab__semigroup__add(X5833)|(~c_Orderings_Oord__class_Oless__eq(X5833,X5832,X5831)|c_Orderings_Oord__class_Oless__eq(X5833,c_Groups_Oplus__class_Oplus(X5833,X5832,X5830),c_Groups_Oplus__class_Oplus(X5833,X5831,X5830)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__right__mono])])).
% 247.18/174.25  fof(i_0_1685, plain, ![X5834, X5835, X5836, X5837]:(~class_Groups_Oordered__ab__semigroup__add(X5837)|(~c_Orderings_Oord__class_Oless__eq(X5837,X5836,X5835)|c_Orderings_Oord__class_Oless__eq(X5837,c_Groups_Oplus__class_Oplus(X5837,X5834,X5836),c_Groups_Oplus__class_Oplus(X5837,X5834,X5835)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__left__mono])])).
% 247.18/174.25  fof(i_0_1686, plain, ![X4345, X4346, X4347, X4348]:(~class_Groups_Oordered__cancel__ab__semigroup__add(X4348)|(~c_Orderings_Oord__class_Oless(X4348,X4347,X4346)|c_Orderings_Oord__class_Oless(X4348,c_Groups_Oplus__class_Oplus(X4348,X4347,X4345),c_Groups_Oplus__class_Oplus(X4348,X4346,X4345)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__right__mono])])).
% 247.18/174.25  fof(i_0_1687, plain, ![X4341, X4342, X4343, X4344]:(~class_Groups_Oordered__cancel__ab__semigroup__add(X4344)|(~c_Orderings_Oord__class_Oless(X4344,X4343,X4342)|c_Orderings_Oord__class_Oless(X4344,c_Groups_Oplus__class_Oplus(X4344,X4341,X4343),c_Groups_Oplus__class_Oplus(X4344,X4341,X4342)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__left__mono])])).
% 247.18/174.25  fof(i_0_1688, plain, ![X5520, X5521, X5522]:(~class_Divides_Osemiring__div(X5522)|(~c_Rings_Odvd__class_Odvd(X5522,X5521,X5520)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5522),c_Divides_Odiv__class_Odiv(X5522,X5520,X5521)),X5521)=X5520)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__div__mult__self])])).
% 247.18/174.25  fof(i_0_1689, plain, ![X5253, X5254]:c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5254,X5253)),X5253)=c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5254),X5253), inference(variable_rename,[status(thm)],[fact_zminus__zmod])).
% 247.18/174.25  fof(i_0_1690, plain, ![X3727, X3728, X3729]:((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3729,X3727)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3728,X3727)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3727,X3728))|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3729,X3728)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3728,X3729)))&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3727,X3729)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3728,X3727)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3727,X3728))|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3729,X3728)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3728,X3729)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1207])])])).
% 247.18/174.25  cnf(i_0_1691, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),c_Nat_OSuc(X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1195])).
% 247.18/174.25  cnf(i_0_1692, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),c_Nat_OSuc(X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1208])).
% 247.18/174.25  fof(i_0_1693, plain, ![X4491, X4492, X4493]:(~class_Rings_Olinordered__semidom(X4493)|(~c_Orderings_Oord__class_Oless(X4493,c_Groups_Oone__class_Oone(X4493),X4492)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4491)|c_Orderings_Oord__class_Oless(X4493,c_Groups_Oone__class_Oone(X4493),hAPP(hAPP(c_Power_Opower__class_Opower(X4493),X4492),X4491))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__less__power])])).
% 247.18/174.25  fof(i_0_1694, plain, ![X5203, X5204, X5205]:((c_Divides_Odiv__class_Omod(tc_Int_Oint,X5205,X5204)!=c_Divides_Odiv__class_Omod(tc_Int_Oint,X5203,X5204)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X5204,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5205,X5203)))&(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X5204,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5205,X5203))|c_Divides_Odiv__class_Omod(tc_Int_Oint,X5205,X5204)=c_Divides_Odiv__class_Omod(tc_Int_Oint,X5203,X5204))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmod__eq__dvd__iff])])).
% 247.18/174.25  fof(i_0_1695, plain, ![X3371, X3372, X3373, X3374]:(~class_Rings_Ocomm__semiring__1(X3374)|(~c_Rings_Odvd__class_Odvd(X3374,X3373,X3372)|c_Rings_Odvd__class_Odvd(X3374,hAPP(hAPP(c_Power_Opower__class_Opower(X3374),X3373),X3371),hAPP(hAPP(c_Power_Opower__class_Opower(X3374),X3372),X3371)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__power__same])])).
% 247.18/174.25  fof(i_0_1696, plain, ![X5736, X5737, X5738, X5739]:(~class_Groups_Oordered__comm__monoid__add(X5739)|(~c_Orderings_Oord__class_Oless__eq(X5739,c_Groups_Ozero__class_Ozero(X5739),X5738)|(~c_Orderings_Oord__class_Oless__eq(X5739,X5737,X5736)|c_Orderings_Oord__class_Oless__eq(X5739,X5737,c_Groups_Oplus__class_Oplus(X5739,X5738,X5736))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__increasing])])).
% 247.18/174.25  fof(i_0_1697, plain, ![X5740, X5741, X5742, X5743]:(~class_Groups_Oordered__comm__monoid__add(X5743)|(~c_Orderings_Oord__class_Oless__eq(X5743,c_Groups_Ozero__class_Ozero(X5743),X5742)|(~c_Orderings_Oord__class_Oless__eq(X5743,X5741,X5740)|c_Orderings_Oord__class_Oless__eq(X5743,X5741,c_Groups_Oplus__class_Oplus(X5743,X5740,X5742))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__increasing2])])).
% 247.18/174.25  fof(i_0_1698, plain, ![X5952, X5953, X5954, X5955]:(~class_Groups_Oordered__comm__monoid__add(X5955)|(~c_Orderings_Oord__class_Oless(X5955,c_Groups_Ozero__class_Ozero(X5955),X5954)|(~c_Orderings_Oord__class_Oless__eq(X5955,X5953,X5952)|c_Orderings_Oord__class_Oless(X5955,X5953,c_Groups_Oplus__class_Oplus(X5955,X5954,X5952))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__strict__increasing])])).
% 247.18/174.25  fof(i_0_1699, plain, ![X4566, X4567, X4568, X4569]:(~class_Rings_Olinordered__semidom(X4569)|(~c_Orderings_Oord__class_Oless(X4569,c_Groups_Ozero__class_Ozero(X4569),X4568)|(~c_Orderings_Oord__class_Oless(X4569,X4567,X4566)|c_Orderings_Oord__class_Oless(X4569,X4567,c_Groups_Oplus__class_Oplus(X4569,X4568,X4566))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__add__strict])])).
% 247.18/174.25  fof(i_0_1700, plain, ![X5642, X5643, X5644, X5645]:(~class_Fields_Ofield(X5645)|c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5645),c_Polynomial_Osmult(X5645,X5644,X5643),X5642)=c_Polynomial_Osmult(X5645,X5644,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5645),X5643,X5642))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__smult__left])])).
% 247.18/174.25  fof(i_0_1701, plain, ![X5158, X5159, X5160, X5161]:(~class_Fields_Ofield(X5161)|c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5161),c_Polynomial_Osmult(X5161,X5160,X5159),X5158)=c_Polynomial_Osmult(X5161,X5160,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5161),X5159,X5158))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__smult__left])])).
% 247.18/174.25  fof(i_0_1702, plain, ![X5788, X5789]:(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5789)|(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5788)|(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X5789,X5788)|(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X5788,X5789)|X5789=X5788)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdvd__antisym__nonneg])])).
% 247.18/174.25  fof(i_0_1703, plain, ![X5807, X5808, X5809]:(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5809,X5808)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X5807,X5809),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X5807,X5808))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zadd__left__mono])])).
% 247.18/174.25  fof(i_0_1704, plain, ![X4784, X4785, X4786]:(~c_Orderings_Oord__class_Oless(tc_Int_Oint,X4786,X4785)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4786,X4784),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4785,X4784))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zadd__strict__right__mono])])).
% 247.18/174.25  fof(i_0_1705, plain, ![X4411, X4412, X4413]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4413,X4412)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4413,X4411),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4412,X4411))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__less__mono1])])).
% 247.18/174.25  cnf(i_0_1706, plain, (X1=c_Nat_OSuc(esk15_2(X2,X1))|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))), inference(split_conjunct,[status(thm)],[i_0_1209])).
% 247.18/174.25  fof(i_0_1707, plain, ![X5397, X5398, X5399, X5400]:(~class_Divides_Osemiring__div(X5400)|(~c_Rings_Odvd__class_Odvd(X5400,X5399,X5398)|(~c_Rings_Odvd__class_Odvd(X5400,X5399,X5397)|c_Rings_Odvd__class_Odvd(X5400,X5399,c_Divides_Odiv__class_Omod(X5400,X5398,X5397))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mod])])).
% 247.18/174.25  fof(i_0_1708, plain, ![X4162, X4163, X4164, X4165]:(~class_Rings_Ocomm__ring__1(X4165)|(~c_Rings_Odvd__class_Odvd(X4165,X4164,X4163)|(~c_Rings_Odvd__class_Odvd(X4165,X4164,X4162)|c_Rings_Odvd__class_Odvd(X4165,X4164,c_Groups_Ominus__class_Ominus(X4165,X4163,X4162))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__diff])])).
% 247.18/174.25  fof(i_0_1709, plain, ![X3375, X3376, X3377, X3378]:(~class_Rings_Ocomm__semiring__1(X3378)|(~c_Rings_Odvd__class_Odvd(X3378,X3377,X3376)|(~c_Rings_Odvd__class_Odvd(X3378,X3377,X3375)|c_Rings_Odvd__class_Odvd(X3378,X3377,c_Groups_Oplus__class_Oplus(X3378,X3376,X3375))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__add])])).
% 247.18/174.25  fof(i_0_1710, plain, ![X5567, X5568, X5569]:(~class_Divides_Osemiring__div(X5569)|(X5568=c_Groups_Ozero__class_Ozero(X5569)|c_Divides_Odiv__class_Odiv(X5569,c_Groups_Oplus__class_Oplus(X5569,X5568,X5567),X5568)=c_Groups_Oplus__class_Oplus(X5569,c_Divides_Odiv__class_Odiv(X5569,X5567,X5568),c_Groups_Oone__class_Oone(X5569)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__add__self1])])).
% 247.18/174.25  fof(i_0_1711, plain, ![X5564, X5565, X5566]:(~class_Divides_Osemiring__div(X5566)|(X5565=c_Groups_Ozero__class_Ozero(X5566)|c_Divides_Odiv__class_Odiv(X5566,c_Groups_Oplus__class_Oplus(X5566,X5564,X5565),X5565)=c_Groups_Oplus__class_Oplus(X5566,c_Divides_Odiv__class_Odiv(X5566,X5564,X5565),c_Groups_Oone__class_Oone(X5566)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__add__self2])])).
% 247.18/174.25  cnf(i_0_1712, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1210])).
% 247.18/174.25  cnf(i_0_1713, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk15_2(X1,X2),X1)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Nat_OSuc(X1))), inference(split_conjunct,[status(thm)],[i_0_1209])).
% 247.18/174.25  fof(i_0_1714, plain, ![X5389, X5390, X5391, X5392]:(~class_Divides_Oring__div(X5392)|(c_Divides_Odiv__class_Omod(X5392,X5391,X5390)!=c_Divides_Odiv__class_Omod(X5392,X5389,X5390)|c_Divides_Odiv__class_Omod(X5392,c_Groups_Ouminus__class_Ouminus(X5392,X5391),X5390)=c_Divides_Odiv__class_Omod(X5392,c_Groups_Ouminus__class_Ouminus(X5392,X5389),X5390))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__minus__cong])])).
% 247.18/174.25  cnf(i_0_1715, plain, (c_Polynomial_Omonom(X1,X2,c_Nat_OSuc(X3))=c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),c_Polynomial_Omonom(X1,X2,X3))|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_1211])).
% 247.18/174.25  fof(i_0_1716, plain, ![X5453, X5454]:(~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5454,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|(~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5453)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5454,X5453),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__neg__pos__less0])])).
% 247.18/174.25  fof(i_0_1717, plain, ![X5636, X5637]:(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5637)|(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5636)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5637,X5636)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Divides_Otransfer__nat__int__function__closures_I1_J])])).
% 247.18/174.25  fof(i_0_1718, plain, ![X5630, X5631]:(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5631)|(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5630)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X5631,X5630)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Divides_Otransfer__nat__int__function__closures_I2_J])])).
% 247.18/174.25  fof(i_0_1719, plain, ![X3105, X3106, X3107, X3108]:(((X3107!=c_Groups_Ozero__class_Ozero(X3108)|X3105=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3108))|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3108),c_Polynomial_Osmult(X3108,X3107,X3106),X3105)|~class_Fields_Ofield(X3108))&(X3107=c_Groups_Ozero__class_Ozero(X3108)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3108),X3106,X3105)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3108),c_Polynomial_Osmult(X3108,X3107,X3106),X3105)|~class_Fields_Ofield(X3108)))&(((X3107!=c_Groups_Ozero__class_Ozero(X3108)|X3107=c_Groups_Ozero__class_Ozero(X3108)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3108),c_Polynomial_Osmult(X3108,X3107,X3106),X3105)|~class_Fields_Ofield(X3108))&(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3108),X3106,X3105)|X3107=c_Groups_Ozero__class_Ozero(X3108)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3108),c_Polynomial_Osmult(X3108,X3107,X3106),X3105)|~class_Fields_Ofield(X3108)))&((X3107!=c_Groups_Ozero__class_Ozero(X3108)|X3105!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3108))|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3108),c_Polynomial_Osmult(X3108,X3107,X3106),X3105)|~class_Fields_Ofield(X3108))&(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3108),X3106,X3105)|X3105!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3108))|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3108),c_Polynomial_Osmult(X3108,X3107,X3106),X3105)|~class_Fields_Ofield(X3108))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__dvd__iff])])])).
% 247.18/174.25  fof(i_0_1720, plain, ![X3307, X3308, X3309, X3310]:((~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3310),X3308,c_Polynomial_Osmult(X3310,X3309,X3307))|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3310),X3308,X3307)|X3309=c_Groups_Ozero__class_Ozero(X3310)|~class_Fields_Ofield(X3310))&(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3310),X3308,X3307)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3310),X3308,c_Polynomial_Osmult(X3310,X3309,X3307))|X3309=c_Groups_Ozero__class_Ozero(X3310)|~class_Fields_Ofield(X3310))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__smult__iff])])])).
% 247.18/174.25  fof(i_0_1721, plain, ![X3299, X3300, X3301, X3302]:(~class_Fields_Ofield(X3302)|(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3302),X3301,c_Polynomial_Osmult(X3302,X3300,X3299))|(X3300=c_Groups_Ozero__class_Ozero(X3302)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3302),X3301,X3299)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__smult__cancel])])).
% 247.18/174.25  cnf(i_0_1722, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))),X1)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1212])).
% 247.18/174.25  cnf(i_0_1723, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X3))|X1!=c_Nat_OSuc(X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1209])).
% 247.18/174.25  fof(i_0_1724, plain, ![X5551, X5552]:(~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5552)|(~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X5551)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5552,X5551),X5552))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_int__div__less__self])])).
% 247.18/174.25  fof(i_0_1725, plain, ![X5886, X5887]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X5887)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X5886)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5886,X5887),X5886))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__less__dividend])])).
% 247.18/174.25  fof(i_0_1726, plain, ![X4652, X4653]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4653)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4652)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4652,X4653),X4652))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__less])])).
% 247.18/174.25  fof(i_0_1727, plain, ![X3261, X3262, X3263, X3264]:(~class_Rings_Ocomm__semiring__1(X3264)|(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3264),c_Polynomial_Osmult(X3264,X3263,X3262),X3261)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3264),X3262,X3261))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__dvd__cancel])])).
% 247.18/174.25  fof(i_0_1728, plain, ![X5726, X5727]:((~c_Orderings_Oord__class_Oless__eq(X5727,c_Groups_Ozero__class_Ozero(X5727),c_Groups_Oplus__class_Oplus(X5727,X5726,X5726))|c_Orderings_Oord__class_Oless__eq(X5727,c_Groups_Ozero__class_Ozero(X5727),X5726)|~class_Groups_Olinordered__ab__group__add(X5727))&(~c_Orderings_Oord__class_Oless__eq(X5727,c_Groups_Ozero__class_Ozero(X5727),X5726)|c_Orderings_Oord__class_Oless__eq(X5727,c_Groups_Ozero__class_Ozero(X5727),c_Groups_Oplus__class_Oplus(X5727,X5726,X5726))|~class_Groups_Olinordered__ab__group__add(X5727))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__double__add__iff__zero__le__single__add])])])).
% 247.18/174.25  fof(i_0_1729, plain, ![X4570, X4571]:((~c_Orderings_Oord__class_Oless(X4571,c_Groups_Ozero__class_Ozero(X4571),c_Groups_Oplus__class_Oplus(X4571,X4570,X4570))|c_Orderings_Oord__class_Oless(X4571,c_Groups_Ozero__class_Ozero(X4571),X4570)|~class_Groups_Olinordered__ab__group__add(X4571))&(~c_Orderings_Oord__class_Oless(X4571,c_Groups_Ozero__class_Ozero(X4571),X4570)|c_Orderings_Oord__class_Oless(X4571,c_Groups_Ozero__class_Ozero(X4571),c_Groups_Oplus__class_Oplus(X4571,X4570,X4570))|~class_Groups_Olinordered__ab__group__add(X4571))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__double__add__iff__zero__less__single__add])])])).
% 247.18/174.25  fof(i_0_1730, plain, ![X5728, X5729]:((~c_Orderings_Oord__class_Oless__eq(X5729,c_Groups_Oplus__class_Oplus(X5729,X5728,X5728),c_Groups_Ozero__class_Ozero(X5729))|c_Orderings_Oord__class_Oless__eq(X5729,X5728,c_Groups_Ozero__class_Ozero(X5729))|~class_Groups_Olinordered__ab__group__add(X5729))&(~c_Orderings_Oord__class_Oless__eq(X5729,X5728,c_Groups_Ozero__class_Ozero(X5729))|c_Orderings_Oord__class_Oless__eq(X5729,c_Groups_Oplus__class_Oplus(X5729,X5728,X5728),c_Groups_Ozero__class_Ozero(X5729))|~class_Groups_Olinordered__ab__group__add(X5729))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__add__le__zero__iff__single__add__le__zero])])])).
% 247.18/174.25  fof(i_0_1731, plain, ![X4564, X4565]:((~c_Orderings_Oord__class_Oless(X4565,c_Groups_Oplus__class_Oplus(X4565,X4564,X4564),c_Groups_Ozero__class_Ozero(X4565))|c_Orderings_Oord__class_Oless(X4565,X4564,c_Groups_Ozero__class_Ozero(X4565))|~class_Rings_Olinordered__idom(X4565))&(~c_Orderings_Oord__class_Oless(X4565,X4564,c_Groups_Ozero__class_Ozero(X4565))|c_Orderings_Oord__class_Oless(X4565,c_Groups_Oplus__class_Oplus(X4565,X4564,X4564),c_Groups_Ozero__class_Ozero(X4565))|~class_Rings_Olinordered__idom(X4565))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_even__less__0__iff])])])).
% 247.18/174.25  fof(i_0_1732, plain, ![X4572, X4573]:((~c_Orderings_Oord__class_Oless(X4573,c_Groups_Oplus__class_Oplus(X4573,X4572,X4572),c_Groups_Ozero__class_Ozero(X4573))|c_Orderings_Oord__class_Oless(X4573,X4572,c_Groups_Ozero__class_Ozero(X4573))|~class_Groups_Olinordered__ab__group__add(X4573))&(~c_Orderings_Oord__class_Oless(X4573,X4572,c_Groups_Ozero__class_Ozero(X4573))|c_Orderings_Oord__class_Oless(X4573,c_Groups_Oplus__class_Oplus(X4573,X4572,X4572),c_Groups_Ozero__class_Ozero(X4573))|~class_Groups_Olinordered__ab__group__add(X4573))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__add__less__zero__iff__single__add__less__zero])])])).
% 247.18/174.25  cnf(i_0_1733, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1213])).
% 247.18/174.25  fof(i_0_1734, plain, ![X3418, X3419, X3420, X3421]:(~class_Rings_Ocomm__semiring__1(X3421)|c_Groups_Oplus__class_Oplus(X3421,c_Groups_Oplus__class_Oplus(X3421,X3420,X3419),X3418)=c_Groups_Oplus__class_Oplus(X3421,c_Groups_Oplus__class_Oplus(X3421,X3420,X3418),X3419)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I23_J])])).
% 247.18/174.25  fof(i_0_1735, plain, ![X4091, X4092, X4093, X4094]:(~class_Fields_Ofield(X4094)|c_Polynomial_Opoly__gcd(X4094,c_Polynomial_Opoly__gcd(X4094,X4093,X4092),X4091)=c_Polynomial_Opoly__gcd(X4094,X4093,c_Polynomial_Opoly__gcd(X4094,X4092,X4091))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd_Oassoc])])).
% 247.18/174.25  fof(i_0_1736, plain, ![X3422, X3423, X3424, X3425]:(~class_Rings_Ocomm__semiring__1(X3425)|c_Groups_Oplus__class_Oplus(X3425,c_Groups_Oplus__class_Oplus(X3425,X3424,X3423),X3422)=c_Groups_Oplus__class_Oplus(X3425,X3424,c_Groups_Oplus__class_Oplus(X3425,X3423,X3422))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I21_J])])).
% 247.18/174.25  fof(i_0_1737, plain, ![X3186, X3187, X3188, X3189]:(~class_Groups_Oab__semigroup__add(X3189)|c_Groups_Oplus__class_Oplus(X3189,c_Groups_Oplus__class_Oplus(X3189,X3188,X3187),X3186)=c_Groups_Oplus__class_Oplus(X3189,X3188,c_Groups_Oplus__class_Oplus(X3189,X3187,X3186))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ab__semigroup__add__class_Oadd__ac_I1_J])])).
% 247.18/174.25  fof(i_0_1738, plain, ![X3426, X3427, X3428, X3429]:(~class_Rings_Ocomm__semiring__1(X3429)|c_Groups_Oplus__class_Oplus(X3429,X3428,c_Groups_Oplus__class_Oplus(X3429,X3427,X3426))=c_Groups_Oplus__class_Oplus(X3429,c_Groups_Oplus__class_Oplus(X3429,X3428,X3427),X3426)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I25_J])])).
% 247.18/174.25  fof(i_0_1739, plain, ![X4087, X4088, X4089, X4090]:(~class_Fields_Ofield(X4090)|c_Polynomial_Opoly__gcd(X4090,X4089,c_Polynomial_Opoly__gcd(X4090,X4088,X4087))=c_Polynomial_Opoly__gcd(X4090,X4088,c_Polynomial_Opoly__gcd(X4090,X4089,X4087))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd_Oleft__commute])])).
% 247.18/174.25  fof(i_0_1740, plain, ![X3430, X3431, X3432, X3433]:(~class_Rings_Ocomm__semiring__1(X3433)|c_Groups_Oplus__class_Oplus(X3433,X3432,c_Groups_Oplus__class_Oplus(X3433,X3431,X3430))=c_Groups_Oplus__class_Oplus(X3433,X3431,c_Groups_Oplus__class_Oplus(X3433,X3432,X3430))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I22_J])])).
% 247.18/174.25  cnf(i_0_1741, plain, (X1=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), inference(split_conjunct,[status(thm)],[i_0_1214])).
% 247.18/174.25  fof(i_0_1742, plain, ![X5473, X5474, X5475, X5476]:((X5475!=c_Groups_Ozero__class_Ozero(X5476)|c_Divides_Odiv__class_Odiv(X5476,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5476),X5475),X5474),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5476),X5475),X5473))=c_Groups_Ozero__class_Ozero(X5476)|~class_Divides_Osemiring__div(X5476))&(X5475=c_Groups_Ozero__class_Ozero(X5476)|c_Divides_Odiv__class_Odiv(X5476,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5476),X5475),X5474),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5476),X5475),X5473))=c_Divides_Odiv__class_Odiv(X5476,X5474,X5473)|~class_Divides_Osemiring__div(X5476))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__mult1__if])])])).
% 247.18/174.25  fof(i_0_1743, plain, ![X5459, X5460, X5461, X5462]:(~class_Divides_Osemiring__div(X5462)|(X5461=c_Groups_Ozero__class_Ozero(X5462)|c_Divides_Odiv__class_Odiv(X5462,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5462),X5461),X5460),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5462),X5461),X5459))=c_Divides_Odiv__class_Odiv(X5462,X5460,X5459))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__mult1])])).
% 247.18/174.25  fof(i_0_1744, plain, ![X5463, X5464, X5465, X5466]:(~class_Divides_Osemiring__div(X5466)|(X5465=c_Groups_Ozero__class_Ozero(X5466)|c_Divides_Odiv__class_Odiv(X5466,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5466),X5464),X5465),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5466),X5463),X5465))=c_Divides_Odiv__class_Odiv(X5466,X5464,X5463))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__mult2])])).
% 247.18/174.25  fof(i_0_1745, plain, ![X4959, X4960, X4961, X4962]:(~class_Fields_Ofield__inverse__zero(X4962)|(X4961=c_Groups_Ozero__class_Ozero(X4962)|c_Rings_Oinverse__class_Odivide(X4962,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4962),X4961),X4960),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4962),X4961),X4959))=c_Rings_Oinverse__class_Odivide(X4962,X4960,X4959))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__divide__mult__cancel__left])])).
% 247.18/174.25  fof(i_0_1746, plain, ![X4955, X4956, X4957, X4958]:(~class_Fields_Ofield__inverse__zero(X4958)|(X4957=c_Groups_Ozero__class_Ozero(X4958)|c_Rings_Oinverse__class_Odivide(X4958,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4958),X4956),X4957),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4958),X4955),X4957))=c_Rings_Oinverse__class_Odivide(X4958,X4956,X4955))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__divide__mult__cancel__right])])).
% 247.18/174.25  fof(i_0_1747, plain, ![X4823, X4824, X4825]:(~class_Fields_Olinordered__field(X4825)|(~c_Orderings_Oord__class_Oless(X4825,c_Rings_Oinverse__class_Oinverse(X4825,X4824),c_Rings_Oinverse__class_Oinverse(X4825,X4823))|(~c_Orderings_Oord__class_Oless(X4825,c_Groups_Ozero__class_Ozero(X4825),X4824)|c_Orderings_Oord__class_Oless(X4825,X4823,X4824)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__less__imp__less])])).
% 247.18/174.25  fof(i_0_1748, plain, ![X4826, X4827, X4828]:(~class_Fields_Olinordered__field(X4828)|(~c_Orderings_Oord__class_Oless(X4828,c_Rings_Oinverse__class_Oinverse(X4828,X4827),c_Rings_Oinverse__class_Oinverse(X4828,X4826))|(~c_Orderings_Oord__class_Oless(X4828,X4826,c_Groups_Ozero__class_Ozero(X4828))|c_Orderings_Oord__class_Oless(X4828,X4826,X4827)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__less__imp__less__neg])])).
% 247.18/174.25  fof(i_0_1749, plain, ![X5747, X5748, X5749]:((~c_Orderings_Oord__class_Oless__eq(X5749,X5748,X5747)|c_Orderings_Oord__class_Oless__eq(X5749,c_Groups_Ominus__class_Ominus(X5749,X5748,X5747),c_Groups_Ozero__class_Ozero(X5749))|~class_Groups_Oordered__ab__group__add(X5749))&(~c_Orderings_Oord__class_Oless__eq(X5749,c_Groups_Ominus__class_Ominus(X5749,X5748,X5747),c_Groups_Ozero__class_Ozero(X5749))|c_Orderings_Oord__class_Oless__eq(X5749,X5748,X5747)|~class_Groups_Oordered__ab__group__add(X5749))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__iff__diff__le__0])])])).
% 247.18/174.25  fof(i_0_1750, plain, ![X4580, X4581, X4582]:((~c_Orderings_Oord__class_Oless(X4582,X4581,X4580)|c_Orderings_Oord__class_Oless(X4582,c_Groups_Ominus__class_Ominus(X4582,X4581,X4580),c_Groups_Ozero__class_Ozero(X4582))|~class_Groups_Oordered__ab__group__add(X4582))&(~c_Orderings_Oord__class_Oless(X4582,c_Groups_Ominus__class_Ominus(X4582,X4581,X4580),c_Groups_Ozero__class_Ozero(X4582))|c_Orderings_Oord__class_Oless(X4582,X4581,X4580)|~class_Groups_Oordered__ab__group__add(X4582))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__iff__diff__less__0])])])).
% 247.18/174.25  cnf(i_0_1751, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X1),c_Nat_OSuc(X2))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1215])).
% 247.18/174.25  cnf(i_0_1752, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X1),X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Nat_OSuc(X2))), inference(split_conjunct,[status(thm)],[i_0_1216])).
% 247.18/174.25  cnf(i_0_1753, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Nat_OSuc(X2))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)), inference(split_conjunct,[status(thm)],[i_0_1217])).
% 247.18/174.25  fof(i_0_1754, plain, ![X3277, X3278, X3279, X3280]:(~class_Rings_Ocomm__semiring__0(X3280)|c_Polynomial_Osmult(X3280,X3279,c_Polynomial_Osmult(X3280,X3278,X3277))=c_Polynomial_Osmult(X3280,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3280),X3279),X3278),X3277)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__smult])])).
% 247.18/174.25  fof(i_0_1755, plain, ![X3125, X3126, X3127, X3128]:(~class_Rings_Ocomm__semiring__0(X3128)|c_Polynomial_Osmult(X3128,X3127,c_Polynomial_Omonom(X3128,X3126,X3125))=c_Polynomial_Omonom(X3128,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3128),X3127),X3126),X3125)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__monom])])).
% 247.18/174.25  fof(i_0_1756, plain, ![X5248, X5249, X5250]:(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X5250,X5249)|(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X5250,X5248)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X5250,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5249,X5248)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdvd__zmod])])).
% 247.18/174.25  fof(i_0_1757, plain, ![X4176, X4177, X4178]:(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X4178,X4177)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X4178,X4176)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X4178,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4177,X4176)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__diff__nat])])).
% 247.18/174.25  fof(i_0_1758, plain, ![X4650, X4651]:(((c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4651)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4651),X4650)))&(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4650)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4651),X4650))))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4651)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4650)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4651),X4650)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__0__less__mult__iff])])])).
% 247.18/174.25  cnf(i_0_1759, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Power_Opower(X1)), inference(split_conjunct,[status(thm)],[i_0_1218])).
% 247.18/174.25  cnf(i_0_1760, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1219])).
% 247.18/174.25  cnf(i_0_1761, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Nat_OSuc(X3))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1220])).
% 247.18/174.25  fof(i_0_1762, plain, ![X5002, X5003, X5004, X5005]:(~class_Rings_Odivision__ring(X5005)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5005),X5004),c_Rings_Oinverse__class_Odivide(X5005,X5003,X5002))=c_Rings_Oinverse__class_Odivide(X5005,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5005),X5004),X5003),X5002)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_times__divide__eq__right])])).
% 247.18/174.25  cnf(i_0_1763, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_OSuc(X1),X2)=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))), inference(split_conjunct,[status(thm)],[i_0_1221])).
% 247.18/174.25  cnf(i_0_1764, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Nat_OSuc(X2))=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))), inference(split_conjunct,[status(thm)],[i_0_1222])).
% 247.18/174.25  fof(i_0_1765, plain, ![X5146, X5147]:((~c_Polynomial_Opos__poly(X5147,X5146)|c_Orderings_Oord__class_Oless(X5147,c_Groups_Ozero__class_Ozero(X5147),hAPP(c_Polynomial_Ocoeff(X5147,X5146),c_Polynomial_Odegree(X5147,X5146)))|~class_Rings_Olinordered__idom(X5147))&(~c_Orderings_Oord__class_Oless(X5147,c_Groups_Ozero__class_Ozero(X5147),hAPP(c_Polynomial_Ocoeff(X5147,X5146),c_Polynomial_Odegree(X5147,X5146)))|c_Polynomial_Opos__poly(X5147,X5146)|~class_Rings_Olinordered__idom(X5147))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__poly__def])])])).
% 247.18/174.25  fof(i_0_1766, plain, ![X5790, X5791, X5792, X5793, X5794]:((~c_Orderings_Oord__class_Oless__eq(X5794,X5793,X5792)|c_Orderings_Oord__class_Oless__eq(X5794,X5791,X5790)|c_Groups_Ominus__class_Ominus(X5794,X5793,X5792)!=c_Groups_Ominus__class_Ominus(X5794,X5791,X5790)|~class_Groups_Oordered__ab__group__add(X5794))&(~c_Orderings_Oord__class_Oless__eq(X5794,X5791,X5790)|c_Orderings_Oord__class_Oless__eq(X5794,X5793,X5792)|c_Groups_Ominus__class_Ominus(X5794,X5793,X5792)!=c_Groups_Ominus__class_Ominus(X5794,X5791,X5790)|~class_Groups_Oordered__ab__group__add(X5794))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__eq__diff__less__eq])])])).
% 247.18/174.25  fof(i_0_1767, plain, ![X4357, X4358, X4359, X4360, X4361]:((~c_Orderings_Oord__class_Oless(X4361,X4360,X4359)|c_Orderings_Oord__class_Oless(X4361,X4358,X4357)|c_Groups_Ominus__class_Ominus(X4361,X4360,X4359)!=c_Groups_Ominus__class_Ominus(X4361,X4358,X4357)|~class_Groups_Oordered__ab__group__add(X4361))&(~c_Orderings_Oord__class_Oless(X4361,X4358,X4357)|c_Orderings_Oord__class_Oless(X4361,X4360,X4359)|c_Groups_Ominus__class_Ominus(X4361,X4360,X4359)!=c_Groups_Ominus__class_Ominus(X4361,X4358,X4357)|~class_Groups_Oordered__ab__group__add(X4361))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__eq__diff__less])])])).
% 247.18/174.25  fof(i_0_1768, plain, ![X4675, X4676, X4677]:(~class_Groups_Ocomm__monoid__add(X4677)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4677,X4676),c_Polynomial_Odegree(X4677,X4675))|c_Polynomial_Odegree(X4677,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4677),X4676,X4675))=c_Polynomial_Odegree(X4677,X4675))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__add__eq__right])])).
% 247.18/174.25  fof(i_0_1769, plain, ![X4678, X4679, X4680]:(~class_Groups_Ocomm__monoid__add(X4680)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4680,X4679),c_Polynomial_Odegree(X4680,X4678))|c_Polynomial_Odegree(X4680,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X4680),X4678,X4679))=c_Polynomial_Odegree(X4680,X4678))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__add__eq__left])])).
% 247.18/174.25  fof(i_0_1770, plain, ![X4771, X4772]:((~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4771),X4772),X4772)|X4771=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4772))&(X4771!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4771),X4772),X4772)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4772))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__cancel2])])])).
% 247.18/174.25  fof(i_0_1771, plain, ![X4773, X4774]:((~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4774),X4773),X4774)|X4773=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4774))&(X4773!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4774),X4773),X4774)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4774))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__cancel1])])])).
% 247.18/174.25  fof(i_0_1772, plain, ![X3406, X3407, X3408, X3409]:(~class_Rings_Ocomm__semiring__1(X3409)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3409),X3408),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3409),X3407),X3406))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3409),X3407),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3409),X3408),X3406))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I19_J])])).
% 247.18/174.25  cnf(i_0_1773, plain, (c_Nat_Osize__class_Osize(tc_Nat_Onat,c_Nat_OSuc(X1))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_Nat_Onat,X1),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), inference(split_conjunct,[status(thm)],[i_0_1223])).
% 247.18/174.25  fof(i_0_1774, plain, ![X4186, X4187, X4188]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4188,X4187),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4188,X4186))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4187,X4186), inference(variable_rename,[status(thm)],[fact_diff__cancel])).
% 247.18/174.25  fof(i_0_1775, plain, ![X4189, X4190, X4191]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4191,X4190),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4189,X4190))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4191,X4189), inference(variable_rename,[status(thm)],[fact_diff__cancel2])).
% 247.18/174.25  fof(i_0_1776, plain, ![X4077, X4078, X4079]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4079,X4078),X4077)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4079,X4077),X4078), inference(variable_rename,[status(thm)],[fact_diff__commute])).
% 247.18/174.25  fof(i_0_1777, plain, ![X4183, X4184, X4185]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4185,X4184),X4183)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4185,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4184,X4183)), inference(variable_rename,[status(thm)],[fact_diff__diff__left])).
% 247.18/174.25  fof(i_0_1778, plain, ![X4124, X4125, X4126]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4126,X4125),X4124)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4126,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4125,X4124)), inference(variable_rename,[status(thm)],[fact_zadd__assoc])).
% 247.18/174.25  fof(i_0_1779, plain, ![X3613, X3614, X3615]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3615,X3614),X3613)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3615,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3614,X3613)), inference(variable_rename,[status(thm)],[fact_nat__add__assoc])).
% 247.18/174.25  fof(i_0_1780, plain, ![X4121, X4122, X4123]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4123,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4122,X4121))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4122,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4123,X4121)), inference(variable_rename,[status(thm)],[fact_zadd__left__commute])).
% 247.18/174.25  fof(i_0_1781, plain, ![X3619, X3620, X3621]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3621,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3620,X3619))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3620,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3621,X3619)), inference(variable_rename,[status(thm)],[fact_nat__add__left__commute])).
% 247.18/174.25  fof(i_0_1782, plain, ![X4790, X4791]:((~c_Orderings_Oord__class_Oless(tc_Int_Oint,X4791,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4790,c_Groups_Oone__class_Oone(tc_Int_Oint)))|(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4791,X4790)|X4791=X4790))&((~c_Orderings_Oord__class_Oless(tc_Int_Oint,X4791,X4790)|c_Orderings_Oord__class_Oless(tc_Int_Oint,X4791,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4790,c_Groups_Oone__class_Oone(tc_Int_Oint))))&(X4791!=X4790|c_Orderings_Oord__class_Oless(tc_Int_Oint,X4791,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4790,c_Groups_Oone__class_Oone(tc_Int_Oint)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zless__add1__eq])])])).
% 247.18/174.25  cnf(i_0_1783, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|X1=X2|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))), inference(split_conjunct,[status(thm)],[i_0_1224])).
% 247.18/174.25  cnf(i_0_1784, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))), inference(split_conjunct,[status(thm)],[i_0_1225])).
% 247.18/174.25  cnf(i_0_1785, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|X2=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))), inference(split_conjunct,[status(thm)],[i_0_1226])).
% 247.18/174.25  cnf(i_0_1786, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|X1=X2|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))), inference(split_conjunct,[status(thm)],[i_0_1227])).
% 247.18/174.25  cnf(i_0_1787, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1228])).
% 247.18/174.25  fof(i_0_1788, plain, ![X5401, X5402, X5403, X5404]:(~class_Divides_Osemiring__div(X5404)|(~c_Rings_Odvd__class_Odvd(X5404,X5403,X5402)|c_Divides_Odiv__class_Omod(X5404,c_Divides_Odiv__class_Omod(X5404,X5401,X5402),X5403)=c_Divides_Odiv__class_Omod(X5404,X5401,X5403))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__mod__cancel])])).
% 247.18/174.25  fof(i_0_1789, plain, ![X3515, X3516, X3517, X3518]:(~class_Rings_Ocomm__semiring__1(X3518)|(~c_Rings_Odvd__class_Odvd(X3518,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3518),X3517),X3516),X3515)|c_Rings_Odvd__class_Odvd(X3518,X3517,X3515))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__left])])).
% 247.18/174.25  fof(i_0_1790, plain, ![X3511, X3512, X3513, X3514]:(~class_Rings_Ocomm__semiring__1(X3514)|(~c_Rings_Odvd__class_Odvd(X3514,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3514),X3513),X3512),X3511)|c_Rings_Odvd__class_Odvd(X3514,X3512,X3511))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__right])])).
% 247.18/174.25  fof(i_0_1791, plain, ![X5451, X5452]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5452),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5451,X5452))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5451,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5451,X5452)), inference(variable_rename,[status(thm)],[fact_zmult__div__cancel])).
% 247.18/174.25  cnf(i_0_1792, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)|X1!=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))), inference(split_conjunct,[status(thm)],[i_0_1229])).
% 247.18/174.25  fof(i_0_1793, plain, ![X3704, X3705, X3706]:((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3706,X3704)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3705,X3704)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3704,X3705))|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3706,X3705))&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3704,X3706)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3705,X3704)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3704,X3705))|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3706,X3705))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1230])])])).
% 247.18/174.25  fof(i_0_1794, plain, ![X3722, X3723, X3724]:((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3724,X3722)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3723,X3722)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3724,X3723)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3723,X3724)))&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3722,X3724)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3723,X3722)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3724,X3723)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3723,X3724)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1231])])])).
% 247.18/174.25  fof(i_0_1795, plain, ![X4792, X4793]:((~c_Orderings_Oord__class_Oless(tc_Int_Oint,X4793,X4792)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4793,X4792),c_Groups_Ozero__class_Ozero(tc_Int_Oint)))&(~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4793,X4792),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,X4793,X4792))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__bin__lemma])])).
% 247.18/174.25  fof(i_0_1796, plain, ![X4654, X4655]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4655,X4654))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4654,X4655))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4654,X4655)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4655,X4654)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__diff])])).
% 247.18/174.25  cnf(i_0_1797, plain, (c_Nat_OSuc(X1)=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Nat_OSuc(X1),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1232])).
% 247.18/174.25  fof(i_0_1798, plain, ![X4403, X4404, X4405, X4406]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4406,X4405)|(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4404,X4405)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4406,X4403)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4404,X4403))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__eq__less])])).
% 247.18/174.25  fof(i_0_1799, plain, ![X4400, X4401, X4402]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4402,X4401),X4400)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4402,X4400)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__lessD1])])).
% 247.18/174.25  fof(i_0_1800, plain, ![X3622, X3623]:((~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3623,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3622,X3623))|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3623,X3622))&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3623,X3622)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3623,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3622,X3623)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__reduce])])).
% 247.18/174.25  fof(i_0_1801, plain, ![X3133, X3134, X3135]:(~class_Rings_Oidom(X3135)|(X3134=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3135))|(X3133=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3135))|c_Polynomial_Odegree(X3135,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3135)),X3134),X3133))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X3135,X3134),c_Polynomial_Odegree(X3135,X3133))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__mult__eq])])).
% 247.18/174.25  fof(i_0_1802, plain, ![X5638, X5639, X5640]:c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5640,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5639),X5638))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5640,X5639),X5638), inference(variable_rename,[status(thm)],[fact_div__mult2__eq])).
% 247.18/174.25  cnf(i_0_1803, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Nat_OSuc(X2))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))), inference(split_conjunct,[status(thm)],[i_0_1233])).
% 247.18/174.25  cnf(i_0_1804, plain, (X1=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1234])).
% 247.18/174.25  cnf(i_0_1805, plain, (X1=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X2=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1235])).
% 247.18/174.25  cnf(i_0_1806, plain, (X2=c_Nat_OSuc(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk17_2(X2,X1)))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1229])).
% 247.18/174.25  fof(i_0_1807, plain, ![X5733, X5734, X5735]:(((X5734=c_Groups_Ozero__class_Ozero(X5735)|c_Groups_Oplus__class_Oplus(X5735,X5734,X5733)!=c_Groups_Ozero__class_Ozero(X5735)|~c_Orderings_Oord__class_Oless__eq(X5735,c_Groups_Ozero__class_Ozero(X5735),X5733)|~c_Orderings_Oord__class_Oless__eq(X5735,c_Groups_Ozero__class_Ozero(X5735),X5734)|~class_Groups_Oordered__comm__monoid__add(X5735))&(X5733=c_Groups_Ozero__class_Ozero(X5735)|c_Groups_Oplus__class_Oplus(X5735,X5734,X5733)!=c_Groups_Ozero__class_Ozero(X5735)|~c_Orderings_Oord__class_Oless__eq(X5735,c_Groups_Ozero__class_Ozero(X5735),X5733)|~c_Orderings_Oord__class_Oless__eq(X5735,c_Groups_Ozero__class_Ozero(X5735),X5734)|~class_Groups_Oordered__comm__monoid__add(X5735)))&(X5734!=c_Groups_Ozero__class_Ozero(X5735)|X5733!=c_Groups_Ozero__class_Ozero(X5735)|c_Groups_Oplus__class_Oplus(X5735,X5734,X5733)=c_Groups_Ozero__class_Ozero(X5735)|~c_Orderings_Oord__class_Oless__eq(X5735,c_Groups_Ozero__class_Ozero(X5735),X5733)|~c_Orderings_Oord__class_Oless__eq(X5735,c_Groups_Ozero__class_Ozero(X5735),X5734)|~class_Groups_Oordered__comm__monoid__add(X5735))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__nonneg__eq__0__iff])])])).
% 247.18/174.25  fof(i_0_1808, plain, ![X4815, X4816, X4817]:(~class_Fields_Olinordered__field(X4817)|(~c_Orderings_Oord__class_Oless(X4817,X4816,X4815)|(~c_Orderings_Oord__class_Oless(X4817,c_Groups_Ozero__class_Ozero(X4817),X4816)|c_Orderings_Oord__class_Oless(X4817,c_Rings_Oinverse__class_Oinverse(X4817,X4815),c_Rings_Oinverse__class_Oinverse(X4817,X4816))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__imp__inverse__less])])).
% 247.18/174.25  fof(i_0_1809, plain, ![X4818, X4819, X4820]:(~class_Fields_Olinordered__field(X4820)|(~c_Orderings_Oord__class_Oless(X4820,X4819,X4818)|(~c_Orderings_Oord__class_Oless(X4820,X4818,c_Groups_Ozero__class_Ozero(X4820))|c_Orderings_Oord__class_Oless(X4820,c_Rings_Oinverse__class_Oinverse(X4820,X4818),c_Rings_Oinverse__class_Oinverse(X4820,X4819))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__imp__inverse__less__neg])])).
% 247.18/174.25  fof(i_0_1810, plain, ![X5504, X5505, X5506]:(~class_Divides_Oring__div(X5506)|(~c_Rings_Odvd__class_Odvd(X5506,X5505,X5504)|c_Divides_Odiv__class_Odiv(X5506,c_Groups_Ouminus__class_Ouminus(X5506,X5504),X5505)=c_Groups_Ouminus__class_Ouminus(X5506,c_Divides_Odiv__class_Odiv(X5506,X5504,X5505)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__neg__div])])).
% 247.18/174.25  fof(i_0_1811, plain, ![X5501, X5502, X5503]:(~class_Divides_Oring__div(X5503)|(~c_Rings_Odvd__class_Odvd(X5503,X5502,X5501)|c_Divides_Odiv__class_Odiv(X5503,X5501,c_Groups_Ouminus__class_Ouminus(X5503,X5502))=c_Groups_Ouminus__class_Ouminus(X5503,c_Divides_Odiv__class_Odiv(X5503,X5501,X5502)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__div__neg])])).
% 247.18/174.25  cnf(i_0_1812, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X1!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X2!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1236])).
% 247.18/174.25  fof(i_0_1813, plain, ![X4963, X4964, X4965, X4966, X4967]:((c_Rings_Oinverse__class_Odivide(X4967,X4964,X4966)!=c_Rings_Oinverse__class_Odivide(X4967,X4963,X4965)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4967),X4964),X4965)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4967),X4963),X4966)|X4965=c_Groups_Ozero__class_Ozero(X4967)|X4966=c_Groups_Ozero__class_Ozero(X4967)|~class_Fields_Ofield(X4967))&(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4967),X4964),X4965)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4967),X4963),X4966)|c_Rings_Oinverse__class_Odivide(X4967,X4964,X4966)=c_Rings_Oinverse__class_Odivide(X4967,X4963,X4965)|X4965=c_Groups_Ozero__class_Ozero(X4967)|X4966=c_Groups_Ozero__class_Ozero(X4967)|~class_Fields_Ofield(X4967))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_frac__eq__eq])])])).
% 247.18/174.25  fof(i_0_1814, plain, ![X4829, X4830]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4830),X4829))|(X4829=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4830)))&((X4829!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4830),X4829)))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4830)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4830),X4829))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__power__nat__eq])])])).
% 247.18/174.25  fof(i_0_1815, plain, ![X4666, X4667]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4667),X4666))|(c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4667)|X4666=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4667)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4667),X4666)))&(X4666!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X4667),X4666))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__zero__less__power__iff])])])).
% 247.18/174.25  fof(i_0_1816, plain, ![X5656, X5657, X5658]:((X5658!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5658),X5657),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5658),X5656))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(X5658=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5658),X5657),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5658),X5656))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5657,X5656))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__div__cancel__disj])])).
% 247.18/174.25  cnf(i_0_1817, plain, (c_Nat_Onat_Onat__size(c_Nat_OSuc(X1))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_Onat_Onat__size(X1),c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), inference(split_conjunct,[status(thm)],[i_0_1237])).
% 247.18/174.25  fof(i_0_1818, plain, ![X5277, X5278]:((c_Divides_Odiv__class_Omod(tc_Int_Oint,X5278,X5277)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5278),X5277)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))&(c_Divides_Odiv__class_Omod(tc_Int_Oint,X5278,X5277)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5278),X5277)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X5277,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5278,X5277)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmod__zminus1__eq__if])])).
% 247.18/174.25  fof(i_0_1819, plain, ![X5279, X5280]:((c_Divides_Odiv__class_Omod(tc_Int_Oint,X5280,X5279)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X5280,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5279))=c_Groups_Ozero__class_Ozero(tc_Int_Oint))&(c_Divides_Odiv__class_Omod(tc_Int_Oint,X5280,X5279)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X5280,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5279))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5280,X5279),X5279))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmod__zminus2__eq__if])])).
% 247.18/174.25  fof(i_0_1820, plain, ![X4779, X4780]:(((c_Orderings_Oord__class_Oless(X4780,c_Groups_Ozero__class_Ozero(X4780),X4779)|~c_Orderings_Oord__class_Oless(X4780,c_Groups_Oone__class_Oone(X4780),c_Rings_Oinverse__class_Oinverse(X4780,X4779))|~class_Fields_Olinordered__field__inverse__zero(X4780))&(c_Orderings_Oord__class_Oless(X4780,X4779,c_Groups_Oone__class_Oone(X4780))|~c_Orderings_Oord__class_Oless(X4780,c_Groups_Oone__class_Oone(X4780),c_Rings_Oinverse__class_Oinverse(X4780,X4779))|~class_Fields_Olinordered__field__inverse__zero(X4780)))&(~c_Orderings_Oord__class_Oless(X4780,c_Groups_Ozero__class_Ozero(X4780),X4779)|~c_Orderings_Oord__class_Oless(X4780,X4779,c_Groups_Oone__class_Oone(X4780))|c_Orderings_Oord__class_Oless(X4780,c_Groups_Oone__class_Oone(X4780),c_Rings_Oinverse__class_Oinverse(X4780,X4779))|~class_Fields_Olinordered__field__inverse__zero(X4780))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__less__inverse__iff])])])).
% 247.18/174.25  fof(i_0_1821, plain, ![X4777, X4778]:(~class_Fields_Olinordered__field(X4778)|(~c_Orderings_Oord__class_Oless(X4778,c_Groups_Ozero__class_Ozero(X4778),X4777)|(~c_Orderings_Oord__class_Oless(X4778,X4777,c_Groups_Oone__class_Oone(X4778))|c_Orderings_Oord__class_Oless(X4778,c_Groups_Oone__class_Oone(X4778),c_Rings_Oinverse__class_Oinverse(X4778,X4777))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__less__inverse])])).
% 247.18/174.25  fof(i_0_1822, plain, ![X5183, X5184, X5185]:((~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X5185),X5184,X5183)|c_Polynomial_Opos__poly(X5185,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5185),X5183,X5184))|~class_Rings_Olinordered__idom(X5185))&(~c_Polynomial_Opos__poly(X5185,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X5185),X5183,X5184))|c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X5185),X5184,X5183)|~class_Rings_Olinordered__idom(X5185))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__poly__def])])])).
% 247.18/174.25  fof(i_0_1823, plain, ![X3326, X3327, X3328]:(~class_Rings_Ocomm__semiring__0(X3328)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3328,c_Polynomial_OpCons(X3328,X3327,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3328))),X3326)=c_Polynomial_OpCons(X3328,X3327,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3328)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__single])])).
% 247.18/174.25  fof(i_0_1824, plain, ![X3303, X3304, X3305, X3306]:(~class_Fields_Ofield(X3306)|(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3306),X3305,X3304)|(X3303=c_Groups_Ozero__class_Ozero(X3306)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3306),c_Polynomial_Osmult(X3306,X3303,X3305),X3304)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__dvd])])).
% 247.18/174.25  fof(i_0_1825, plain, ![X5148, X5149, X5150]:(((X5148=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5150))|c_Polynomial_Opos__poly(X5150,X5148)|~c_Polynomial_Opos__poly(X5150,c_Polynomial_OpCons(X5150,X5149,X5148))|~class_Rings_Olinordered__idom(X5150))&(c_Orderings_Oord__class_Oless(X5150,c_Groups_Ozero__class_Ozero(X5150),X5149)|c_Polynomial_Opos__poly(X5150,X5148)|~c_Polynomial_Opos__poly(X5150,c_Polynomial_OpCons(X5150,X5149,X5148))|~class_Rings_Olinordered__idom(X5150)))&((~c_Polynomial_Opos__poly(X5150,X5148)|c_Polynomial_Opos__poly(X5150,c_Polynomial_OpCons(X5150,X5149,X5148))|~class_Rings_Olinordered__idom(X5150))&(X5148!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5150))|~c_Orderings_Oord__class_Oless(X5150,c_Groups_Ozero__class_Ozero(X5150),X5149)|c_Polynomial_Opos__poly(X5150,c_Polynomial_OpCons(X5150,X5149,X5148))|~class_Rings_Olinordered__idom(X5150)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__poly__pCons])])])).
% 247.18/174.25  fof(i_0_1826, plain, ![X3257, X3258, X3259, X3260]:(~class_Rings_Ocomm__semiring__1(X3260)|(~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3260),X3259,X3258)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X3260),X3259,c_Polynomial_Osmult(X3260,X3257,X3258)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__smult])])).
% 247.18/174.25  cnf(i_0_1827, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), inference(split_conjunct,[status(thm)],[i_0_1238])).
% 247.18/174.25  fof(i_0_1828, plain, ![X4601, X4602, X4603, X4604]:((hAPP(hAPP(c_Power_Opower__class_Opower(X4604),X4603),X4602)!=hAPP(hAPP(c_Power_Opower__class_Opower(X4604),X4603),X4601)|X4602=X4601|~c_Orderings_Oord__class_Oless(X4604,c_Groups_Oone__class_Oone(X4604),X4603)|~class_Rings_Olinordered__semidom(X4604))&(X4602!=X4601|hAPP(hAPP(c_Power_Opower__class_Opower(X4604),X4603),X4602)=hAPP(hAPP(c_Power_Opower__class_Opower(X4604),X4603),X4601)|~c_Orderings_Oord__class_Oless(X4604,c_Groups_Oone__class_Oone(X4604),X4603)|~class_Rings_Olinordered__semidom(X4604))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__inject__exp])])])).
% 247.18/174.25  fof(i_0_1829, plain, ![X3071, X3072, X3073, X3074]:((X3073!=X3072|hAPP(c_Polynomial_Ocoeff(X3074,c_Polynomial_Omonom(X3074,X3071,X3073)),X3072)=X3071|~class_Groups_Ozero(X3074))&(X3073=X3072|hAPP(c_Polynomial_Ocoeff(X3074,c_Polynomial_Omonom(X3074,X3071,X3073)),X3072)=c_Groups_Ozero__class_Ozero(X3074)|~class_Groups_Ozero(X3074))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__monom])])])).
% 247.18/174.25  cnf(i_0_1830, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Nat_OSuc(X1))), inference(split_conjunct,[status(thm)],[i_0_1239])).
% 247.18/174.25  fof(i_0_1831, plain, ![X5781, X5782, X5783]:(~class_Rings_Olinordered__semidom(X5783)|(~c_Orderings_Oord__class_Oless__eq(X5783,c_Groups_Oone__class_Oone(X5783),X5782)|c_Orderings_Oord__class_Oless__eq(X5783,c_Groups_Oone__class_Oone(X5783),hAPP(hAPP(c_Power_Opower__class_Opower(X5783),X5782),X5781)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__le__power])])).
% 247.18/174.25  fof(i_0_1832, plain, ![X5764, X5765, X5766]:(~class_Rings_Olinordered__semidom(X5766)|(~c_Orderings_Oord__class_Oless__eq(X5766,c_Groups_Ozero__class_Ozero(X5766),X5765)|c_Orderings_Oord__class_Oless__eq(X5766,c_Groups_Ozero__class_Ozero(X5766),hAPP(hAPP(c_Power_Opower__class_Opower(X5766),X5765),X5764)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__power])])).
% 247.18/174.25  fof(i_0_1833, plain, ![X4596, X4597, X4598]:(~class_Rings_Olinordered__semidom(X4598)|(~c_Orderings_Oord__class_Oless(X4598,c_Groups_Ozero__class_Ozero(X4598),X4597)|c_Orderings_Oord__class_Oless(X4598,c_Groups_Ozero__class_Ozero(X4598),hAPP(hAPP(c_Power_Opower__class_Opower(X4598),X4597),X4596)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__power])])).
% 247.18/174.25  fof(i_0_1834, plain, ![X3250, X3251, X3252]:(~class_Groups_Ozero(X3252)|hAPP(c_Polynomial_Ocoeff(X3252,c_Polynomial_OpCons(X3252,X3251,X3250)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X3251), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__pCons__0])])).
% 247.18/174.25  fof(i_0_1835, plain, ![X4494, X4495, X4496]:(~class_Rings_Odivision__ring(X4496)|(X4495=c_Groups_Ozero__class_Ozero(X4496)|(X4494=c_Groups_Ozero__class_Ozero(X4496)|c_Rings_Oinverse__class_Oinverse(X4496,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4496),X4495),X4494))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4496),c_Rings_Oinverse__class_Oinverse(X4496,X4494)),c_Rings_Oinverse__class_Oinverse(X4496,X4495))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__inverse__mult__distrib])])).
% 247.18/174.25  cnf(i_0_1836, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|X1!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1214])).
% 247.18/174.25  fof(i_0_1837, plain, ![X4562, X4563]:(~class_Rings_Olinordered__ring(X4563)|~c_Orderings_Oord__class_Oless(X4563,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4563),X4562),X4562),c_Groups_Ozero__class_Ozero(X4563))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1240])])).
% 247.18/174.25  fof(i_0_1838, plain, ![X5275, X5276]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5276,X5275)|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5276,X5275)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5276,X5275),X5275)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1241])])).
% 247.18/174.25  fof(i_0_1839, plain, ![X5273, X5274]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5274,X5273)|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5274,X5273)=X5274)&(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5274,X5273)|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5274,X5273)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X5274,X5273),X5273))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1242])])).
% 247.18/174.25  fof(i_0_1840, plain, ![X4070]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X4070),X4070)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint), inference(variable_rename,[status(thm)],[fact_odd__nonzero])).
% 247.18/174.25  fof(i_0_1841, plain, ![X4016, X4017, X4018, X4019]:hAPP(hAPP(c_Power_Opower_Opower(X4019,X4018,X4017),X4016),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X4018, inference(variable_rename,[status(thm)],[fact_power_Opower_Opower__0])).
% 247.18/174.25  fof(i_0_1842, plain, ![X4794, X4795]:(~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4795)|(~c_Orderings_Oord__class_Oless(tc_Int_Oint,X4795,X4794)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4794,X4795))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1243])])).
% 247.18/174.25  fof(i_0_1843, plain, ![X4616, X4617]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4617)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4617,X4616)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X4616,X4617))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1244])])).
% 247.18/174.25  cnf(i_0_1844, plain, (c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1245])).
% 247.18/174.25  cnf(i_0_1845, plain, (X1=c_Nat_OSuc(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1246])).
% 247.18/174.25  fof(i_0_1846, plain, ![X5527, X5528, X5529]:(~class_Divides_Osemiring__div(X5529)|(~c_Rings_Odvd__class_Odvd(X5529,X5528,X5527)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5529),X5528),c_Divides_Odiv__class_Odiv(X5529,X5527,X5528))=X5527)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult__div__cancel])])).
% 247.18/174.25  fof(i_0_1847, plain, ![X5535, X5536, X5537]:(~class_RealVector_Oreal__normed__div__algebra(X5537)|c_Groups_Osgn__class_Osgn(X5537,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5537),X5536),X5535))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5537),c_Groups_Osgn__class_Osgn(X5537,X5536)),c_Groups_Osgn__class_Osgn(X5537,X5535))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__mult])])).
% 247.18/174.25  fof(i_0_1848, plain, ![X5538, X5539, X5540]:(~class_Rings_Olinordered__idom(X5540)|c_Groups_Osgn__class_Osgn(X5540,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5540),X5539),X5538))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5540),c_Groups_Osgn__class_Osgn(X5540,X5539)),c_Groups_Osgn__class_Osgn(X5540,X5538))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__times])])).
% 247.18/174.25  fof(i_0_1849, plain, ![X4800, X4801, X4802]:(~class_Fields_Ofield__inverse__zero(X4802)|c_Rings_Oinverse__class_Oinverse(X4802,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4802),X4801),X4800))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4802),c_Rings_Oinverse__class_Oinverse(X4802,X4801)),c_Rings_Oinverse__class_Oinverse(X4802,X4800))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__mult__distrib])])).
% 247.18/174.25  fof(i_0_1850, plain, ![X4766, X4767, X4768]:((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4767)|c_Rings_Odvd__class_Odvd(X4768,X4766,hAPP(hAPP(c_Power_Opower__class_Opower(X4768),X4766),X4767))|~class_Rings_Ocomm__semiring__1(X4768))&(X4766!=c_Groups_Oone__class_Oone(X4768)|c_Rings_Odvd__class_Odvd(X4768,X4766,hAPP(hAPP(c_Power_Opower__class_Opower(X4768),X4766),X4767))|~class_Rings_Ocomm__semiring__1(X4768))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__power])])])).
% 247.18/174.25  fof(i_0_1851, plain, ![X3911, X3912, X3913]:(~class_Groups_Oab__group__add(X3913)|c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X3913),c_Polynomial_OpCons(X3913,X3912,X3911))=c_Polynomial_OpCons(X3913,c_Groups_Ouminus__class_Ouminus(X3913,X3912),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X3913),X3911))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__poly__code_I2_J])])).
% 247.18/174.25  fof(i_0_1852, plain, ![X3908, X3909, X3910]:(~class_Groups_Oab__group__add(X3910)|c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X3910),c_Polynomial_OpCons(X3910,X3909,X3908))=c_Polynomial_OpCons(X3910,c_Groups_Ouminus__class_Ouminus(X3910,X3909),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X3910),X3908))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__pCons])])).
% 247.18/174.25  fof(i_0_1853, plain, ![X3532, X3533, X3534, X3535]:(~class_Rings_Ocomm__semiring__1(X3535)|(~c_Rings_Odvd__class_Odvd(X3535,X3534,X3533)|c_Rings_Odvd__class_Odvd(X3535,X3534,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3535),X3533),X3532)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult2])])).
% 247.18/174.25  fof(i_0_1854, plain, ![X3528, X3529, X3530, X3531]:(~class_Rings_Ocomm__semiring__1(X3531)|(~c_Rings_Odvd__class_Odvd(X3531,X3530,X3529)|c_Rings_Odvd__class_Odvd(X3531,X3530,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3531),X3528),X3529)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__mult])])).
% 247.18/174.25  cnf(i_0_1855, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1224])).
% 247.18/174.25  cnf(i_0_1856, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1247])).
% 247.18/174.25  fof(i_0_1857, plain, ![X4425, X4426]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4426,X4425),X4426), inference(variable_rename,[status(thm)],[i_0_1248])).
% 247.18/174.25  fof(i_0_1858, plain, ![X4423, X4424]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4424,X4423),X4423), inference(variable_rename,[status(thm)],[i_0_1249])).
% 247.18/174.25  fof(i_0_1859, plain, ![X5174, X5175, X5176]:(~class_Fields_Ofield(X5176)|(X5175=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5176))|c_Polynomial_Opoly__gcd(X5176,X5174,X5175)=c_Polynomial_Opoly__gcd(X5176,X5175,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5176),X5174,X5175)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd_Osimps_I2_J])])).
% 247.18/174.25  fof(i_0_1860, plain, ![X5632, X5633]:(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5633)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5633,X5632),X5633)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmod__le__nonneg__dividend])])).
% 247.18/174.25  fof(i_0_1861, plain, ![X5265, X5266]:(~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5266)|c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5265,X5266),X5266)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__mod__bound])])).
% 247.18/174.25  fof(i_0_1862, plain, ![X5267, X5268]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X5268)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5267,X5268),X5268)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__less__divisor])])).
% 247.18/174.25  fof(i_0_1863, plain, ![X5269, X5270]:(~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5270,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|c_Orderings_Oord__class_Oless(tc_Int_Oint,X5270,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5269,X5270))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__mod__bound])])).
% 247.18/174.25  fof(i_0_1864, plain, ![X5653, X5654, X5655]:(~class_Fields_Ofield(X5655)|c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5655),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5655),X5654),X5653)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5655),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5655),X5654,X5653))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__div__minus__left])])).
% 247.18/174.25  fof(i_0_1865, plain, ![X5165, X5166, X5167]:(~class_Fields_Ofield(X5167)|c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5167),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5167),X5166),X5165)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5167),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5167),X5166,X5165))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__mod__minus__left])])).
% 247.18/174.25  fof(i_0_1866, plain, ![X5650, X5651, X5652]:(~class_Fields_Ofield(X5652)|c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5652),X5651,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5652),X5650))=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5652),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X5652),X5651,X5650))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__div__minus__right])])).
% 247.18/174.25  fof(i_0_1867, plain, ![X4430, X4431, X4432]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4432,X4431)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4432,X4430),X4431)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__imp__diff__less])])).
% 247.18/174.25  fof(i_0_1868, plain, ![X4899, X4900, X4901]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4901,X4900)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4901,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4900,X4899))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I1_J])])).
% 247.18/174.25  fof(i_0_1869, plain, ![X4417, X4418, X4419]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4419,X4418)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4419,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4418,X4417))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__less__add1])])).
% 247.18/174.25  fof(i_0_1870, plain, ![X4902, X4903, X4904]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4904,X4903)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4904,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4902,X4903))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_termination__basic__simps_I2_J])])).
% 247.18/174.25  fof(i_0_1871, plain, ![X4414, X4415, X4416]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4416,X4415)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4416,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4414,X4415))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_trans__less__add2])])).
% 247.18/174.25  fof(i_0_1872, plain, ![X5151, X5152, X5153, X5154]:(~class_Fields_Ofield(X5154)|(X5153=c_Groups_Ozero__class_Ozero(X5154)|c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5154),X5152,c_Polynomial_Osmult(X5154,X5153,X5151))=c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5154),X5152,X5151))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__smult__right])])).
% 247.18/174.25  cnf(i_0_1873, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1234])).
% 247.18/174.25  cnf(i_0_1874, plain, (X1=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1234])).
% 247.18/174.25  cnf(i_0_1875, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1235])).
% 247.18/174.25  cnf(i_0_1876, plain, (X1=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1235])).
% 247.18/174.25  fof(i_0_1877, plain, ![X5575, X5576, X5577, X5578]:((c_Divides_Odiv__class_Odiv(X5578,X5576,X5577)!=X5575|X5576=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5578),X5575),X5577)|~c_Rings_Odvd__class_Odvd(X5578,X5577,X5576)|X5577=c_Groups_Ozero__class_Ozero(X5578)|~class_Divides_Osemiring__div(X5578))&(X5576!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5578),X5575),X5577)|c_Divides_Odiv__class_Odiv(X5578,X5576,X5577)=X5575|~c_Rings_Odvd__class_Odvd(X5578,X5577,X5576)|X5577=c_Groups_Ozero__class_Ozero(X5578)|~class_Divides_Osemiring__div(X5578))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__div__eq__mult])])])).
% 247.18/174.25  fof(i_0_1878, plain, ![X5257, X5258]:c_Divides_Odiv__class_Omod(tc_Int_Oint,X5258,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5257))=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5258),X5257)), inference(variable_rename,[status(thm)],[fact_zmod__zminus2])).
% 247.18/174.25  fof(i_0_1879, plain, ![X4635, X4636, X4637]:((hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4637),X4636)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4637),X4635)|X4636=X4635|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4637))&(X4636!=X4635|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4637),X4636)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X4637),X4635)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4637))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__eq__cancel1])])])).
% 247.18/174.25  fof(i_0_1880, plain, ![X5477, X5478]:(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X5478,X5477)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5478),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5477,X5478))=X5477), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdvd__mult__div__cancel])])).
% 247.18/174.25  fof(i_0_1881, plain, ![X3437, X3438, X3439, X3440]:(~class_Rings_Ocomm__semiring__1(X3440)|(~c_Rings_Odvd__class_Odvd(X3440,X3439,X3438)|(~c_Rings_Odvd__class_Odvd(X3440,X3438,X3437)|c_Rings_Odvd__class_Odvd(X3440,X3439,X3437)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__trans])])).
% 247.18/174.25  fof(i_0_1882, plain, ![X4288, X4289, X4290]:(~class_Groups_Oab__group__add(X4290)|c_Groups_Ominus__class_Ominus(X4290,c_Groups_Ouminus__class_Ouminus(X4290,X4289),c_Groups_Ouminus__class_Ouminus(X4290,X4288))=c_Groups_Ouminus__class_Ouminus(X4290,c_Groups_Ominus__class_Ominus(X4290,X4289,X4288))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Limits_Ominus__diff__minus])])).
% 247.18/174.25  fof(i_0_1883, plain, ![X3982, X3983, X3984]:(~class_Groups_Oab__group__add(X3984)|c_Groups_Ouminus__class_Ouminus(X3984,c_Groups_Oplus__class_Oplus(X3984,X3983,X3982))=c_Groups_Oplus__class_Oplus(X3984,c_Groups_Ouminus__class_Ouminus(X3984,X3983),c_Groups_Ouminus__class_Ouminus(X3984,X3982))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__add__distrib])])).
% 247.18/174.25  fof(i_0_1884, plain, ![X3979, X3980, X3981]:(~class_Groups_Ogroup__add(X3981)|c_Groups_Ouminus__class_Ouminus(X3981,c_Groups_Oplus__class_Oplus(X3981,X3980,X3979))=c_Groups_Oplus__class_Oplus(X3981,c_Groups_Ouminus__class_Ouminus(X3981,X3979),c_Groups_Ouminus__class_Ouminus(X3981,X3980))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__add])])).
% 247.18/174.25  fof(i_0_1885, plain, ![X5155, X5156, X5157]:(~class_Fields_Ofield(X5157)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X5157,X5156),c_Polynomial_Odegree(X5157,X5155))|c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5157),X5156,X5155)=X5156)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__poly__less])])).
% 247.18/174.25  fof(i_0_1886, plain, ![X4502, X4503, X4504]:(~class_Rings_Odivision__ring(X4504)|(X4503=c_Groups_Ozero__class_Ozero(X4504)|c_Rings_Oinverse__class_Oinverse(X4504,hAPP(hAPP(c_Power_Opower__class_Opower(X4504),X4503),X4502))=hAPP(hAPP(c_Power_Opower__class_Opower(X4504),c_Rings_Oinverse__class_Oinverse(X4504,X4503)),X4502))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__power__inverse])])).
% 247.18/174.25  fof(i_0_1887, plain, ![X5881, X5882]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X5882)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5882),X5881),X5882)=X5881), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self1__is__m])])).
% 247.18/174.25  fof(i_0_1888, plain, ![X5879, X5880]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X5880)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5879),X5880),X5880)=X5879), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self__is__m])])).
% 247.18/174.25  fof(i_0_1889, plain, ![X5816, X5817, X5818]:((~c_Orderings_Oord__class_Oless__eq(X5818,c_Groups_Ouminus__class_Ouminus(X5818,X5817),c_Groups_Ouminus__class_Ouminus(X5818,X5816))|c_Orderings_Oord__class_Oless__eq(X5818,X5816,X5817)|~class_Groups_Oordered__ab__group__add(X5818))&(~c_Orderings_Oord__class_Oless__eq(X5818,X5816,X5817)|c_Orderings_Oord__class_Oless__eq(X5818,c_Groups_Ouminus__class_Ouminus(X5818,X5817),c_Groups_Ouminus__class_Ouminus(X5818,X5816))|~class_Groups_Oordered__ab__group__add(X5818))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__le__iff__le])])])).
% 247.18/174.25  fof(i_0_1890, plain, ![X4362, X4363, X4364]:((~c_Orderings_Oord__class_Oless(X4364,c_Groups_Ouminus__class_Ouminus(X4364,X4363),c_Groups_Ouminus__class_Ouminus(X4364,X4362))|c_Orderings_Oord__class_Oless(X4364,X4362,X4363)|~class_Groups_Oordered__ab__group__add(X4364))&(~c_Orderings_Oord__class_Oless(X4364,X4362,X4363)|c_Orderings_Oord__class_Oless(X4364,c_Groups_Ouminus__class_Ouminus(X4364,X4363),c_Groups_Ouminus__class_Ouminus(X4364,X4362))|~class_Groups_Oordered__ab__group__add(X4364))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__less__iff__less])])])).
% 247.18/174.25  cnf(i_0_1891, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1250])).
% 247.18/174.25  fof(i_0_1892, plain, ![X4618, X4619]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4619)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X4618,X4619)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4618))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__pos__nat])])).
% 247.18/174.25  fof(i_0_1893, plain, ![X3949, X3950, X3951]:(~class_RealVector_Oreal__normed__algebra(X3951)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3951),c_Groups_Ouminus__class_Ouminus(X3951,X3950)),X3949)=c_Groups_Ouminus__class_Ouminus(X3951,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3951),X3950),X3949))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ominus__left])])).
% 247.18/174.25  fof(i_0_1894, plain, ![X3946, X3947, X3948]:(~class_RealVector_Oreal__normed__algebra(X3948)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3948),c_Groups_Ouminus__class_Ouminus(X3948,X3947)),X3946)=c_Groups_Ouminus__class_Ouminus(X3948,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3948),X3947),X3946))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Ominus])])).
% 247.18/174.25  fof(i_0_1895, plain, ![X4457, X4458, X4459]:(~class_Rings_Odivision__ring__inverse__zero(X4459)|c_Rings_Oinverse__class_Oinverse(X4459,hAPP(hAPP(c_Power_Opower__class_Opower(X4459),X4458),X4457))=hAPP(hAPP(c_Power_Opower__class_Opower(X4459),c_Rings_Oinverse__class_Oinverse(X4459,X4458)),X4457)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__inverse])])).
% 247.18/174.25  fof(i_0_1896, plain, ![X3961, X3962, X3963]:(~class_Rings_Oring(X3963)|c_Groups_Ouminus__class_Ouminus(X3963,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3963),X3962),X3961))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3963),c_Groups_Ouminus__class_Ouminus(X3963,X3962)),X3961)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__mult__left])])).
% 247.18/174.25  fof(i_0_1897, plain, ![X3994, X3995, X3996]:(~class_Rings_Ocomm__ring(X3996)|c_Polynomial_Osmult(X3996,X3995,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X3996),X3994))=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X3996),c_Polynomial_Osmult(X3996,X3995,X3994))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__minus__right])])).
% 247.18/174.25  cnf(i_0_1898, plain, (X1=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1236])).
% 247.18/174.25  cnf(i_0_1899, plain, (X1=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1236])).
% 247.18/174.25  fof(i_0_1900, plain, ![X5297, X5298, X5299]:(~class_Divides_Osemiring__div(X5299)|c_Divides_Odiv__class_Omod(X5299,c_Divides_Odiv__class_Omod(X5299,X5298,X5297),X5297)=c_Divides_Odiv__class_Omod(X5299,X5298,X5297)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__mod__trivial])])).
% 247.18/174.25  fof(i_0_1901, plain, ![X5339, X5340, X5341]:(~class_Divides_Osemiring__div(X5341)|c_Divides_Odiv__class_Omod(X5341,c_Groups_Oplus__class_Oplus(X5341,X5340,X5339),X5340)=c_Divides_Odiv__class_Omod(X5341,X5339,X5340)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__add__self1])])).
% 247.18/174.25  fof(i_0_1902, plain, ![X5336, X5337, X5338]:(~class_Divides_Osemiring__div(X5338)|c_Divides_Odiv__class_Omod(X5338,c_Groups_Oplus__class_Oplus(X5338,X5337,X5336),X5336)=c_Divides_Odiv__class_Omod(X5338,X5337,X5336)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__add__self2])])).
% 247.18/174.25  cnf(i_0_1903, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X3,X1))=c_Nat_OSuc(c_Polynomial_Odegree(X2,X1))|~class_Groups_Ozero(X2)), inference(split_conjunct,[status(thm)],[i_0_1251])).
% 247.18/174.25  cnf(i_0_1904, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Odegree(X1,c_Polynomial_OpCons(X1,X3,X2))=c_Nat_OSuc(c_Polynomial_Odegree(X1,X2))|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_1252])).
% 247.18/174.25  fof(i_0_1905, plain, ![X3976, X3977, X3978]:(~class_Groups_Ogroup__add(X3978)|c_Groups_Oplus__class_Oplus(X3978,X3977,c_Groups_Oplus__class_Oplus(X3978,c_Groups_Ouminus__class_Ouminus(X3978,X3977),X3976))=X3976), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__minus__cancel])])).
% 247.18/174.25  fof(i_0_1906, plain, ![X5801, X5802, X5803]:(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5803,X5802)|(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5802,X5801)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5803,X5801))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zle__trans])])).
% 247.18/174.25  fof(i_0_1907, plain, ![X3698, X3699, X3700]:(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3700,X3699)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3699,X3698)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3700,X3698))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd_Oorder__trans])])).
% 247.18/174.25  cnf(i_0_1908, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|X1!=X2), inference(split_conjunct,[status(thm)],[i_0_1225])).
% 247.18/174.25  fof(i_0_1909, plain, ![X5180, X5181, X5182]:(~class_Rings_Olinordered__idom(X5182)|(~c_Polynomial_Opos__poly(X5182,X5181)|(~c_Polynomial_Opos__poly(X5182,X5180)|c_Polynomial_Opos__poly(X5182,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X5182)),X5181),X5180))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__poly__mult])])).
% 247.18/174.25  cnf(i_0_1910, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Nat_OSuc(X1))), inference(split_conjunct,[status(thm)],[i_0_1210])).
% 247.18/174.25  fof(i_0_1911, plain, ![X3917, X3918, X3919]:(~class_Groups_Oab__group__add(X3919)|hAPP(c_Polynomial_Ocoeff(X3919,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X3919),X3918)),X3917)=c_Groups_Ouminus__class_Ouminus(X3919,hAPP(c_Polynomial_Ocoeff(X3919,X3918),X3917))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__minus])])).
% 247.18/174.25  fof(i_0_1912, plain, ![X3920, X3921, X3922]:(~class_Rings_Ocomm__ring(X3922)|hAPP(c_Polynomial_Opoly(X3922,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X3922),X3921)),X3920)=c_Groups_Ouminus__class_Ouminus(X3922,hAPP(c_Polynomial_Opoly(X3922,X3921),X3920))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__minus])])).
% 247.18/174.25  fof(i_0_1913, plain, ![X5813, X5814, X5815]:((~c_Orderings_Oord__class_Oless__eq(X5815,c_Groups_Ouminus__class_Ouminus(X5815,X5814),X5813)|c_Orderings_Oord__class_Oless__eq(X5815,c_Groups_Ouminus__class_Ouminus(X5815,X5813),X5814)|~class_Groups_Oordered__ab__group__add(X5815))&(~c_Orderings_Oord__class_Oless__eq(X5815,c_Groups_Ouminus__class_Ouminus(X5815,X5813),X5814)|c_Orderings_Oord__class_Oless__eq(X5815,c_Groups_Ouminus__class_Ouminus(X5815,X5814),X5813)|~class_Groups_Oordered__ab__group__add(X5815))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__le__iff])])])).
% 247.18/174.25  fof(i_0_1914, plain, ![X4365, X4366, X4367]:((~c_Orderings_Oord__class_Oless(X4367,c_Groups_Ouminus__class_Ouminus(X4367,X4366),X4365)|c_Orderings_Oord__class_Oless(X4367,c_Groups_Ouminus__class_Ouminus(X4367,X4365),X4366)|~class_Groups_Oordered__ab__group__add(X4367))&(~c_Orderings_Oord__class_Oless(X4367,c_Groups_Ouminus__class_Ouminus(X4367,X4365),X4366)|c_Orderings_Oord__class_Oless(X4367,c_Groups_Ouminus__class_Ouminus(X4367,X4366),X4365)|~class_Groups_Oordered__ab__group__add(X4367))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__less__iff])])])).
% 247.18/174.25  fof(i_0_1915, plain, ![X5810, X5811, X5812]:((~c_Orderings_Oord__class_Oless__eq(X5812,X5811,c_Groups_Ouminus__class_Ouminus(X5812,X5810))|c_Orderings_Oord__class_Oless__eq(X5812,X5810,c_Groups_Ouminus__class_Ouminus(X5812,X5811))|~class_Groups_Oordered__ab__group__add(X5812))&(~c_Orderings_Oord__class_Oless__eq(X5812,X5810,c_Groups_Ouminus__class_Ouminus(X5812,X5811))|c_Orderings_Oord__class_Oless__eq(X5812,X5811,c_Groups_Ouminus__class_Ouminus(X5812,X5810))|~class_Groups_Oordered__ab__group__add(X5812))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__minus__iff])])])).
% 247.18/174.25  fof(i_0_1916, plain, ![X4368, X4369, X4370]:((~c_Orderings_Oord__class_Oless(X4370,X4369,c_Groups_Ouminus__class_Ouminus(X4370,X4368))|c_Orderings_Oord__class_Oless(X4370,X4368,c_Groups_Ouminus__class_Ouminus(X4370,X4369))|~class_Groups_Oordered__ab__group__add(X4370))&(~c_Orderings_Oord__class_Oless(X4370,X4368,c_Groups_Ouminus__class_Ouminus(X4370,X4369))|c_Orderings_Oord__class_Oless(X4370,X4369,c_Groups_Ouminus__class_Ouminus(X4370,X4368))|~class_Groups_Oordered__ab__group__add(X4370))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__minus__iff])])])).
% 247.18/174.25  fof(i_0_1917, plain, ![X5255, X5256]:c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5256),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5255))=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5256,X5255)), inference(variable_rename,[status(thm)],[fact_zmod__zminus__zminus])).
% 247.18/174.25  fof(i_0_1918, plain, ![X4067, X4068]:c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4068,X4067))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4068),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4067)), inference(variable_rename,[status(thm)],[fact_zminus__zadd__distrib])).
% 247.18/174.25  fof(i_0_1919, plain, ![X3934, X3935, X3936]:(~class_Groups_Oab__group__add(X3936)|c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X3936),c_Polynomial_Omonom(X3936,X3935,X3934))=c_Polynomial_Omonom(X3936,c_Groups_Ouminus__class_Ouminus(X3936,X3935),X3934)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__monom])])).
% 247.18/174.25  fof(i_0_1920, plain, ![X3914, X3915, X3916]:(~class_Rings_Ocomm__ring(X3916)|c_Polynomial_Osmult(X3916,c_Groups_Ouminus__class_Ouminus(X3916,X3915),X3914)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X3916),c_Polynomial_Osmult(X3916,X3915,X3914))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__minus__left])])).
% 247.18/174.25  fof(i_0_1921, plain, ![X4978, X4979, X4980]:(~class_Rings_Odivision__ring(X4980)|(X4979=c_Groups_Ozero__class_Ozero(X4980)|c_Groups_Ouminus__class_Ouminus(X4980,c_Rings_Oinverse__class_Odivide(X4980,X4978,X4979))=c_Rings_Oinverse__class_Odivide(X4980,X4978,c_Groups_Ouminus__class_Ouminus(X4980,X4979)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__minus__divide__right])])).
% 247.18/174.25  cnf(i_0_1922, plain, (c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1234])).
% 247.18/174.25  cnf(i_0_1923, plain, (c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)|X1!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1234])).
% 247.18/174.25  cnf(i_0_1924, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1235])).
% 247.18/174.25  cnf(i_0_1925, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X1!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1235])).
% 247.18/174.25  fof(i_0_1926, plain, ![X4664, X4665]:(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4665,X4664)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4664,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4665,X4664))=X4665), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1253])])).
% 247.18/174.25  fof(i_0_1927, plain, ![X4811, X4812]:(~class_Fields_Olinordered__field(X4812)|(~c_Orderings_Oord__class_Oless(X4812,c_Groups_Ozero__class_Ozero(X4812),c_Rings_Oinverse__class_Oinverse(X4812,X4811))|(X4811=c_Groups_Ozero__class_Ozero(X4812)|c_Orderings_Oord__class_Oless(X4812,c_Groups_Ozero__class_Ozero(X4812),X4811)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__positive__imp__positive])])).
% 247.18/174.25  fof(i_0_1928, plain, ![X4821, X4822]:(~class_Fields_Olinordered__field(X4822)|(~c_Orderings_Oord__class_Oless(X4822,c_Rings_Oinverse__class_Oinverse(X4822,X4821),c_Groups_Ozero__class_Ozero(X4822))|(X4821=c_Groups_Ozero__class_Ozero(X4822)|c_Orderings_Oord__class_Oless(X4822,X4821,c_Groups_Ozero__class_Ozero(X4822))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__negative__imp__negative])])).
% 247.18/174.25  fof(i_0_1929, plain, ![X4272, X4273, X4274]:(~class_Rings_Ocomm__semiring__0(X4274)|c_Polynomial_Odegree(X4274,c_Polynomial_Osynthetic__div(X4274,X4273,X4272))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Polynomial_Odegree(X4274,X4273),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__synthetic__div])])).
% 247.18/174.25  fof(i_0_1930, plain, ![X5016, X5017, X5018]:(~class_RealVector_Oreal__normed__field(X5018)|c_Rings_Oinverse__class_Odivide(X5018,c_Groups_Ouminus__class_Ouminus(X5018,X5017),X5016)=c_Groups_Ouminus__class_Ouminus(X5018,c_Rings_Oinverse__class_Odivide(X5018,X5017,X5016))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Ominus])])).
% 247.18/174.25  fof(i_0_1931, plain, ![X5019, X5020, X5021]:(~class_Rings_Odivision__ring(X5021)|c_Groups_Ouminus__class_Ouminus(X5021,c_Rings_Oinverse__class_Odivide(X5021,X5020,X5019))=c_Rings_Oinverse__class_Odivide(X5021,c_Groups_Ouminus__class_Ouminus(X5021,X5020),X5019)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__divide__left])])).
% 247.18/174.25  fof(i_0_1932, plain, ![X5034, X5035, X5036]:(~class_Fields_Ofield__inverse__zero(X5036)|c_Groups_Ouminus__class_Ouminus(X5036,c_Rings_Oinverse__class_Odivide(X5036,X5035,X5034))=c_Rings_Oinverse__class_Odivide(X5036,X5035,c_Groups_Ouminus__class_Ouminus(X5036,X5034))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__divide__right])])).
% 247.18/174.25  fof(i_0_1933, plain, ![X5754, X5755]:((~c_Orderings_Oord__class_Oless__eq(X5755,c_Groups_Ouminus__class_Ouminus(X5755,X5754),c_Groups_Ozero__class_Ozero(X5755))|c_Orderings_Oord__class_Oless__eq(X5755,c_Groups_Ozero__class_Ozero(X5755),X5754)|~class_Groups_Oordered__ab__group__add(X5755))&(~c_Orderings_Oord__class_Oless__eq(X5755,c_Groups_Ozero__class_Ozero(X5755),X5754)|c_Orderings_Oord__class_Oless__eq(X5755,c_Groups_Ouminus__class_Ouminus(X5755,X5754),c_Groups_Ozero__class_Ozero(X5755))|~class_Groups_Oordered__ab__group__add(X5755))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__le__0__iff__le])])])).
% 247.18/174.25  fof(i_0_1934, plain, ![X4587, X4588]:((~c_Orderings_Oord__class_Oless(X4588,c_Groups_Ouminus__class_Ouminus(X4588,X4587),c_Groups_Ozero__class_Ozero(X4588))|c_Orderings_Oord__class_Oless(X4588,c_Groups_Ozero__class_Ozero(X4588),X4587)|~class_Groups_Oordered__ab__group__add(X4588))&(~c_Orderings_Oord__class_Oless(X4588,c_Groups_Ozero__class_Ozero(X4588),X4587)|c_Orderings_Oord__class_Oless(X4588,c_Groups_Ouminus__class_Ouminus(X4588,X4587),c_Groups_Ozero__class_Ozero(X4588))|~class_Groups_Oordered__ab__group__add(X4588))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__less__0__iff__less])])])).
% 247.18/174.25  fof(i_0_1935, plain, ![X5784, X5785]:((~c_Orderings_Oord__class_Oless__eq(X5785,c_Groups_Ozero__class_Ozero(X5785),c_Rings_Oinverse__class_Oinverse(X5785,X5784))|c_Orderings_Oord__class_Oless__eq(X5785,c_Groups_Ozero__class_Ozero(X5785),X5784)|~class_Fields_Olinordered__field__inverse__zero(X5785))&(~c_Orderings_Oord__class_Oless__eq(X5785,c_Groups_Ozero__class_Ozero(X5785),X5784)|c_Orderings_Oord__class_Oless__eq(X5785,c_Groups_Ozero__class_Ozero(X5785),c_Rings_Oinverse__class_Oinverse(X5785,X5784))|~class_Fields_Olinordered__field__inverse__zero(X5785))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__nonnegative__iff__nonnegative])])])).
% 247.18/174.25  fof(i_0_1936, plain, ![X4805, X4806]:((~c_Orderings_Oord__class_Oless(X4806,c_Groups_Ozero__class_Ozero(X4806),c_Rings_Oinverse__class_Oinverse(X4806,X4805))|c_Orderings_Oord__class_Oless(X4806,c_Groups_Ozero__class_Ozero(X4806),X4805)|~class_Fields_Olinordered__field__inverse__zero(X4806))&(~c_Orderings_Oord__class_Oless(X4806,c_Groups_Ozero__class_Ozero(X4806),X4805)|c_Orderings_Oord__class_Oless(X4806,c_Groups_Ozero__class_Ozero(X4806),c_Rings_Oinverse__class_Oinverse(X4806,X4805))|~class_Fields_Olinordered__field__inverse__zero(X4806))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__positive__iff__positive])])])).
% 247.18/174.25  fof(i_0_1937, plain, ![X5547, X5548]:((~c_Orderings_Oord__class_Oless(X5548,c_Groups_Ozero__class_Ozero(X5548),c_Groups_Osgn__class_Osgn(X5548,X5547))|c_Orderings_Oord__class_Oless(X5548,c_Groups_Ozero__class_Ozero(X5548),X5547)|~class_Rings_Olinordered__idom(X5548))&(~c_Orderings_Oord__class_Oless(X5548,c_Groups_Ozero__class_Ozero(X5548),X5547)|c_Orderings_Oord__class_Oless(X5548,c_Groups_Ozero__class_Ozero(X5548),c_Groups_Osgn__class_Osgn(X5548,X5547))|~class_Rings_Olinordered__idom(X5548))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__greater])])])).
% 247.18/174.25  fof(i_0_1938, plain, ![X5786, X5787]:((~c_Orderings_Oord__class_Oless__eq(X5787,c_Rings_Oinverse__class_Oinverse(X5787,X5786),c_Groups_Ozero__class_Ozero(X5787))|c_Orderings_Oord__class_Oless__eq(X5787,X5786,c_Groups_Ozero__class_Ozero(X5787))|~class_Fields_Olinordered__field__inverse__zero(X5787))&(~c_Orderings_Oord__class_Oless__eq(X5787,X5786,c_Groups_Ozero__class_Ozero(X5787))|c_Orderings_Oord__class_Oless__eq(X5787,c_Rings_Oinverse__class_Oinverse(X5787,X5786),c_Groups_Ozero__class_Ozero(X5787))|~class_Fields_Olinordered__field__inverse__zero(X5787))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__nonpositive__iff__nonpositive])])])).
% 247.18/174.25  fof(i_0_1939, plain, ![X4807, X4808]:((~c_Orderings_Oord__class_Oless(X4808,c_Rings_Oinverse__class_Oinverse(X4808,X4807),c_Groups_Ozero__class_Ozero(X4808))|c_Orderings_Oord__class_Oless(X4808,X4807,c_Groups_Ozero__class_Ozero(X4808))|~class_Fields_Olinordered__field__inverse__zero(X4808))&(~c_Orderings_Oord__class_Oless(X4808,X4807,c_Groups_Ozero__class_Ozero(X4808))|c_Orderings_Oord__class_Oless(X4808,c_Rings_Oinverse__class_Oinverse(X4808,X4807),c_Groups_Ozero__class_Ozero(X4808))|~class_Fields_Olinordered__field__inverse__zero(X4808))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__negative__iff__negative])])])).
% 247.18/174.25  fof(i_0_1940, plain, ![X5549, X5550]:((~c_Orderings_Oord__class_Oless(X5550,c_Groups_Osgn__class_Osgn(X5550,X5549),c_Groups_Ozero__class_Ozero(X5550))|c_Orderings_Oord__class_Oless(X5550,X5549,c_Groups_Ozero__class_Ozero(X5550))|~class_Rings_Olinordered__idom(X5550))&(~c_Orderings_Oord__class_Oless(X5550,X5549,c_Groups_Ozero__class_Ozero(X5550))|c_Orderings_Oord__class_Oless(X5550,c_Groups_Osgn__class_Osgn(X5550,X5549),c_Groups_Ozero__class_Ozero(X5550))|~class_Rings_Olinordered__idom(X5550))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__less])])])).
% 247.18/174.25  fof(i_0_1941, plain, ![X5758, X5759]:((~c_Orderings_Oord__class_Oless__eq(X5759,c_Groups_Ozero__class_Ozero(X5759),c_Groups_Ouminus__class_Ouminus(X5759,X5758))|c_Orderings_Oord__class_Oless__eq(X5759,X5758,c_Groups_Ozero__class_Ozero(X5759))|~class_Groups_Oordered__ab__group__add(X5759))&(~c_Orderings_Oord__class_Oless__eq(X5759,X5758,c_Groups_Ozero__class_Ozero(X5759))|c_Orderings_Oord__class_Oless__eq(X5759,c_Groups_Ozero__class_Ozero(X5759),c_Groups_Ouminus__class_Ouminus(X5759,X5758))|~class_Groups_Oordered__ab__group__add(X5759))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__0__le__iff__le])])])).
% 247.18/174.25  fof(i_0_1942, plain, ![X4589, X4590]:((~c_Orderings_Oord__class_Oless(X4590,c_Groups_Ozero__class_Ozero(X4590),c_Groups_Ouminus__class_Ouminus(X4590,X4589))|c_Orderings_Oord__class_Oless(X4590,X4589,c_Groups_Ozero__class_Ozero(X4590))|~class_Groups_Oordered__ab__group__add(X4590))&(~c_Orderings_Oord__class_Oless(X4590,X4589,c_Groups_Ozero__class_Ozero(X4590))|c_Orderings_Oord__class_Oless(X4590,c_Groups_Ozero__class_Ozero(X4590),c_Groups_Ouminus__class_Ouminus(X4590,X4589))|~class_Groups_Oordered__ab__group__add(X4590))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__0__less__iff__less])])])).
% 247.18/174.25  fof(i_0_1943, plain, ![X3955, X3956, X3957]:(~class_RealVector_Oreal__normed__algebra(X3957)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3957),X3956),c_Groups_Ouminus__class_Ouminus(X3957,X3955))=c_Groups_Ouminus__class_Ouminus(X3957,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3957),X3956),X3955))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ominus__right])])).
% 247.18/174.25  fof(i_0_1944, plain, ![X3952, X3953, X3954]:(~class_RealVector_Oreal__normed__algebra(X3954)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3954),X3953),c_Groups_Ouminus__class_Ouminus(X3954,X3952))=c_Groups_Ouminus__class_Ouminus(X3954,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3954),X3953),X3952))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Ominus])])).
% 247.18/174.25  fof(i_0_1945, plain, ![X3958, X3959, X3960]:(~class_Rings_Oring(X3960)|c_Groups_Ouminus__class_Ouminus(X3960,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3960),X3959),X3958))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3960),X3959),c_Groups_Ouminus__class_Ouminus(X3960,X3958))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__mult__right])])).
% 247.18/174.25  fof(i_0_1946, plain, ![X5819, X5820, X5821]:(~class_Groups_Oordered__ab__group__add(X5821)|(~c_Orderings_Oord__class_Oless__eq(X5821,X5820,X5819)|c_Orderings_Oord__class_Oless__eq(X5821,c_Groups_Ouminus__class_Ouminus(X5821,X5819),c_Groups_Ouminus__class_Ouminus(X5821,X5820)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__imp__neg__le])])).
% 247.18/174.25  cnf(i_0_1947, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X1!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1250])).
% 247.18/174.25  fof(i_0_1948, plain, ![X4701]:(~class_Rings_Olinordered__semidom(X4701)|c_Orderings_Oord__class_Oless(X4701,c_Groups_Ozero__class_Ozero(X4701),c_Groups_Oplus__class_Oplus(X4701,c_Groups_Oone__class_Oone(X4701),c_Groups_Oone__class_Oone(X4701)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__two])])).
% 247.18/174.25  fof(i_0_1949, plain, ![X3973, X3974, X3975]:(~class_Groups_Ogroup__add(X3975)|c_Groups_Oplus__class_Oplus(X3975,c_Groups_Ouminus__class_Ouminus(X3975,X3974),c_Groups_Oplus__class_Oplus(X3975,X3974,X3973))=X3973), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__add__cancel])])).
% 247.18/174.25  fof(i_0_1950, plain, ![X5752, X5753]:((~c_Orderings_Oord__class_Oless__eq(X5753,c_Groups_Ouminus__class_Ouminus(X5753,X5752),X5752)|c_Orderings_Oord__class_Oless__eq(X5753,c_Groups_Ozero__class_Ozero(X5753),X5752)|~class_Groups_Olinordered__ab__group__add(X5753))&(~c_Orderings_Oord__class_Oless__eq(X5753,c_Groups_Ozero__class_Ozero(X5753),X5752)|c_Orderings_Oord__class_Oless__eq(X5753,c_Groups_Ouminus__class_Ouminus(X5753,X5752),X5752)|~class_Groups_Olinordered__ab__group__add(X5753))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__le__self__iff])])])).
% 247.18/174.25  fof(i_0_1951, plain, ![X4585, X4586]:((~c_Orderings_Oord__class_Oless(X4586,c_Groups_Ouminus__class_Ouminus(X4586,X4585),X4585)|c_Orderings_Oord__class_Oless(X4586,c_Groups_Ozero__class_Ozero(X4586),X4585)|~class_Groups_Olinordered__ab__group__add(X4586))&(~c_Orderings_Oord__class_Oless(X4586,c_Groups_Ozero__class_Ozero(X4586),X4585)|c_Orderings_Oord__class_Oless(X4586,c_Groups_Ouminus__class_Ouminus(X4586,X4585),X4585)|~class_Groups_Olinordered__ab__group__add(X4586))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__less__nonneg])])])).
% 247.18/174.25  fof(i_0_1952, plain, ![X5756, X5757]:((~c_Orderings_Oord__class_Oless__eq(X5757,X5756,c_Groups_Ouminus__class_Ouminus(X5757,X5756))|c_Orderings_Oord__class_Oless__eq(X5757,X5756,c_Groups_Ozero__class_Ozero(X5757))|~class_Groups_Olinordered__ab__group__add(X5757))&(~c_Orderings_Oord__class_Oless__eq(X5757,X5756,c_Groups_Ozero__class_Ozero(X5757))|c_Orderings_Oord__class_Oless__eq(X5757,X5756,c_Groups_Ouminus__class_Ouminus(X5757,X5756))|~class_Groups_Olinordered__ab__group__add(X5757))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_le__minus__self__iff])])])).
% 247.18/174.25  fof(i_0_1953, plain, ![X4591, X4592]:((~c_Orderings_Oord__class_Oless(X4592,X4591,c_Groups_Ouminus__class_Ouminus(X4592,X4591))|c_Orderings_Oord__class_Oless(X4592,X4591,c_Groups_Ozero__class_Ozero(X4592))|~class_Rings_Olinordered__idom(X4592))&(~c_Orderings_Oord__class_Oless(X4592,X4591,c_Groups_Ozero__class_Ozero(X4592))|c_Orderings_Oord__class_Oless(X4592,X4591,c_Groups_Ouminus__class_Ouminus(X4592,X4591))|~class_Rings_Olinordered__idom(X4592))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__minus__self__iff])])])).
% 247.18/174.25  fof(i_0_1954, plain, ![X3895, X3896]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X3896)),X3895)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3896),X3895)), inference(variable_rename,[status(thm)],[fact_zmult__zminus])).
% 247.18/174.25  cnf(i_0_1955, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),c_Nat_OSuc(X2))=c_Groups_Ozero__class_Ozero(X1)|~class_Power_Opower(X1)|~class_Rings_Osemiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1254])).
% 247.18/174.25  fof(i_0_1956, plain, ![X4443, X4444, X4445]:((((c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4444,X4445)|hBOOL(hAPP(hAPP(X4443,X4444),X4445))|X4445=X4444|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4445,X4444))&(~hBOOL(hAPP(hAPP(X4443,X4444),X4445))|hBOOL(hAPP(hAPP(X4443,X4444),X4445))|X4445=X4444|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4445,X4444)))&((c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4444,X4445)|hBOOL(hAPP(hAPP(X4443,X4444),X4445))|~hBOOL(hAPP(hAPP(X4443,X4444),X4445))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4445,X4444))&(~hBOOL(hAPP(hAPP(X4443,X4444),X4445))|hBOOL(hAPP(hAPP(X4443,X4444),X4445))|~hBOOL(hAPP(hAPP(X4443,X4444),X4445))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4445,X4444))))&(((c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4444,X4445)|hBOOL(hAPP(hAPP(X4443,X4444),X4445))|X4445=X4444|~hBOOL(hAPP(hAPP(X4443,X4444),X4445)))&(~hBOOL(hAPP(hAPP(X4443,X4444),X4445))|hBOOL(hAPP(hAPP(X4443,X4444),X4445))|X4445=X4444|~hBOOL(hAPP(hAPP(X4443,X4444),X4445))))&((c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4444,X4445)|hBOOL(hAPP(hAPP(X4443,X4444),X4445))|~hBOOL(hAPP(hAPP(X4443,X4444),X4445))|~hBOOL(hAPP(hAPP(X4443,X4444),X4445)))&(~hBOOL(hAPP(hAPP(X4443,X4444),X4445))|hBOOL(hAPP(hAPP(X4443,X4444),X4445))|~hBOOL(hAPP(hAPP(X4443,X4444),X4445))|~hBOOL(hAPP(hAPP(X4443,X4444),X4445)))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__less__cases])])])).
% 247.18/174.25  fof(i_0_1957, plain, ![X4813, X4814]:(~class_Fields_Olinordered__field(X4814)|(~c_Orderings_Oord__class_Oless(X4814,X4813,c_Groups_Ozero__class_Ozero(X4814))|c_Orderings_Oord__class_Oless(X4814,c_Rings_Oinverse__class_Oinverse(X4814,X4813),c_Groups_Ozero__class_Ozero(X4814)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_negative__imp__inverse__negative])])).
% 247.18/174.25  fof(i_0_1958, plain, ![X4809, X4810]:(~class_Fields_Olinordered__field(X4810)|(~c_Orderings_Oord__class_Oless(X4810,c_Groups_Ozero__class_Ozero(X4810),X4809)|c_Orderings_Oord__class_Oless(X4810,c_Groups_Ozero__class_Ozero(X4810),c_Rings_Oinverse__class_Oinverse(X4810,X4809)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_positive__imp__inverse__positive])])).
% 247.18/174.25  fof(i_0_1959, plain, ![X3314, X3315, X3316, X3317]:(~class_Rings_Ocomm__semiring__0(X3317)|(c_Polynomial_Osmult(X3317,X3316,X3315)!=c_Polynomial_OpCons(X3317,X3314,X3315)|X3315=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3317)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_synthetic__div__unique__lemma])])).
% 247.18/174.25  fof(i_0_1960, plain, ![X3967, X3968, X3969]:(~class_Rings_Oring(X3969)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3969),c_Groups_Ouminus__class_Ouminus(X3969,X3968)),c_Groups_Ouminus__class_Ouminus(X3969,X3967))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3969),X3968),X3967)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__mult__minus])])).
% 247.18/174.25  fof(i_0_1961, plain, ![X3964, X3965, X3966]:(~class_Rings_Oring(X3966)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3966),c_Groups_Ouminus__class_Ouminus(X3966,X3965)),X3964)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3966),X3965),c_Groups_Ouminus__class_Ouminus(X3966,X3964))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__mult__commute])])).
% 247.18/174.25  fof(i_0_1962, plain, ![X3988, X3989, X3990]:((~c_Rings_Odvd__class_Odvd(X3990,c_Groups_Ouminus__class_Ouminus(X3990,X3989),X3988)|c_Rings_Odvd__class_Odvd(X3990,X3989,X3988)|~class_Rings_Ocomm__ring__1(X3990))&(~c_Rings_Odvd__class_Odvd(X3990,X3989,X3988)|c_Rings_Odvd__class_Odvd(X3990,c_Groups_Ouminus__class_Ouminus(X3990,X3989),X3988)|~class_Rings_Ocomm__ring__1(X3990))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__dvd__iff])])])).
% 247.18/174.25  fof(i_0_1963, plain, ![X3985, X3986, X3987]:((~c_Rings_Odvd__class_Odvd(X3987,X3986,c_Groups_Ouminus__class_Ouminus(X3987,X3985))|c_Rings_Odvd__class_Odvd(X3987,X3986,X3985)|~class_Rings_Ocomm__ring__1(X3987))&(~c_Rings_Odvd__class_Odvd(X3987,X3986,X3985)|c_Rings_Odvd__class_Odvd(X3987,X3986,c_Groups_Ouminus__class_Ouminus(X3987,X3985))|~class_Rings_Ocomm__ring__1(X3987))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__minus__iff])])])).
% 247.18/174.25  fof(i_0_1964, plain, ![X3970, X3971, X3972]:((hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3972),X3971),X3971)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3972),X3970),X3970)|(X3971=X3970|X3971=c_Groups_Ouminus__class_Ouminus(X3972,X3970))|~class_Rings_Oidom(X3972))&((X3971!=X3970|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3972),X3971),X3971)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3972),X3970),X3970)|~class_Rings_Oidom(X3972))&(X3971!=c_Groups_Ouminus__class_Ouminus(X3972,X3970)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3972),X3971),X3971)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3972),X3970),X3970)|~class_Rings_Oidom(X3972)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_square__eq__iff])])])).
% 247.18/174.25  fof(i_0_1965, plain, ![X5177, X5178, X5179]:(~class_Rings_Olinordered__idom(X5179)|(~c_Polynomial_Opos__poly(X5179,X5178)|(~c_Polynomial_Opos__poly(X5179,X5177)|c_Polynomial_Opos__poly(X5179,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X5179),X5178,X5177))))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__poly__add])])).
% 247.18/174.25  fof(i_0_1966, plain, ![X4095, X4096, X4097, X4098, X4099]:((X4098!=X4097|X4096=X4095|c_Groups_Ominus__class_Ominus(X4099,X4098,X4097)!=c_Groups_Ominus__class_Ominus(X4099,X4096,X4095)|~class_Groups_Oab__group__add(X4099))&(X4096!=X4095|X4098=X4097|c_Groups_Ominus__class_Ominus(X4099,X4098,X4097)!=c_Groups_Ominus__class_Ominus(X4099,X4096,X4095)|~class_Groups_Oab__group__add(X4099))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__eq__diff__eq])])])).
% 247.18/174.25  cnf(i_0_1967, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1234])).
% 247.18/174.25  cnf(i_0_1968, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)!=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_1235])).
% 247.18/174.25  fof(i_0_1969, plain, ![X5037, X5038, X5039]:(~class_Fields_Ofield__inverse__zero(X5039)|c_Rings_Oinverse__class_Oinverse(X5039,c_Rings_Oinverse__class_Odivide(X5039,X5038,X5037))=c_Rings_Oinverse__class_Odivide(X5039,X5037,X5038)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__divide])])).
% 247.18/174.25  fof(i_0_1970, plain, ![X4159, X4160, X4161]:(~class_Groups_Oab__group__add(X4161)|c_Groups_Ouminus__class_Ouminus(X4161,c_Groups_Ominus__class_Ominus(X4161,X4160,X4159))=c_Groups_Ominus__class_Ominus(X4161,X4159,X4160)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__diff__eq])])).
% 247.18/174.25  fof(i_0_1971, plain, ![X4599, X4600]:(~class_Rings_Olinordered__semidom(X4600)|c_Orderings_Oord__class_Oless(X4600,X4599,c_Groups_Oplus__class_Oplus(X4600,X4599,c_Groups_Oone__class_Oone(X4600)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__add__one])])).
% 247.18/174.25  fof(i_0_1972, plain, ![X3161, X3162, X3163, X3164, X3165]:(((X3164=X3162|c_Polynomial_OpCons(X3165,X3164,X3163)!=c_Polynomial_OpCons(X3165,X3162,X3161)|~class_Groups_Ozero(X3165))&(X3163=X3161|c_Polynomial_OpCons(X3165,X3164,X3163)!=c_Polynomial_OpCons(X3165,X3162,X3161)|~class_Groups_Ozero(X3165)))&(X3164!=X3162|X3163!=X3161|c_Polynomial_OpCons(X3165,X3164,X3163)=c_Polynomial_OpCons(X3165,X3162,X3161)|~class_Groups_Ozero(X3165))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pCons__eq__iff])])])).
% 247.18/174.25  fof(i_0_1973, plain, ![X3166, X3167, X3168, X3169]:((c_Groups_Oplus__class_Oplus(X3169,X3168,X3167)!=c_Groups_Oplus__class_Oplus(X3169,X3166,X3167)|X3168=X3166|~class_Groups_Ocancel__semigroup__add(X3169))&(X3168!=X3166|c_Groups_Oplus__class_Oplus(X3169,X3168,X3167)=c_Groups_Oplus__class_Oplus(X3169,X3166,X3167)|~class_Groups_Ocancel__semigroup__add(X3169))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__right__cancel])])])).
% 247.18/174.25  fof(i_0_1974, plain, ![X3136, X3137, X3138, X3139]:(~class_Groups_Ocancel__semigroup__add(X3139)|(c_Groups_Oplus__class_Oplus(X3139,X3138,X3137)!=c_Groups_Oplus__class_Oplus(X3139,X3136,X3137)|X3138=X3136)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__right__imp__eq])])).
% 247.18/174.25  fof(i_0_1975, plain, ![X3075, X3076, X3077, X3078]:((c_Polynomial_Omonom(X3078,X3077,X3076)!=c_Polynomial_Omonom(X3078,X3075,X3076)|X3077=X3075|~class_Groups_Ozero(X3078))&(X3077!=X3075|c_Polynomial_Omonom(X3078,X3077,X3076)=c_Polynomial_Omonom(X3078,X3075,X3076)|~class_Groups_Ozero(X3078))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_monom__eq__iff])])])).
% 247.18/174.25  fof(i_0_1976, plain, ![X3140, X3141, X3142, X3143]:(~class_Groups_Ocancel__ab__semigroup__add(X3143)|(c_Groups_Oplus__class_Oplus(X3143,X3142,X3141)!=c_Groups_Oplus__class_Oplus(X3143,X3142,X3140)|X3141=X3140)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__imp__eq])])).
% 247.18/174.25  fof(i_0_1977, plain, ![X3170, X3171, X3172, X3173]:((c_Groups_Oplus__class_Oplus(X3173,X3172,X3171)!=c_Groups_Oplus__class_Oplus(X3173,X3172,X3170)|X3171=X3170|~class_Groups_Ocancel__semigroup__add(X3173))&(X3171!=X3170|c_Groups_Oplus__class_Oplus(X3173,X3172,X3171)=c_Groups_Oplus__class_Oplus(X3173,X3172,X3170)|~class_Groups_Ocancel__semigroup__add(X3173))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__left__cancel])])])).
% 247.18/174.25  fof(i_0_1978, plain, ![X3144, X3145, X3146, X3147]:(~class_Groups_Ocancel__semigroup__add(X3147)|(c_Groups_Oplus__class_Oplus(X3147,X3146,X3145)!=c_Groups_Oplus__class_Oplus(X3147,X3146,X3144)|X3145=X3144)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__left__imp__eq])])).
% 247.18/174.25  cnf(i_0_1979, plain, (X1=X2|c_Nat_OSuc(X1)!=c_Nat_OSuc(X2)), inference(split_conjunct,[status(thm)],[i_0_1255])).
% 247.18/174.25  cnf(i_0_1980, plain, (X1=X2|c_Nat_OSuc(X1)!=c_Nat_OSuc(X2)), inference(split_conjunct,[status(thm)],[i_0_1256])).
% 247.18/174.25  fof(i_0_1981, plain, ![X3094, X3095, X3096]:((hAPP(c_Polynomial_Opoly(X3096,X3095),X3094)!=c_Groups_Ozero__class_Ozero(X3096)|(X3095=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3096))|c_Polynomial_Oorder(X3096,X3094,X3095)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|~class_Rings_Oidom(X3096))&((X3095!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3096))|hAPP(c_Polynomial_Opoly(X3096,X3095),X3094)=c_Groups_Ozero__class_Ozero(X3096)|~class_Rings_Oidom(X3096))&(c_Polynomial_Oorder(X3096,X3094,X3095)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Polynomial_Opoly(X3096,X3095),X3094)=c_Groups_Ozero__class_Ozero(X3096)|~class_Rings_Oidom(X3096)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_order__root])])])).
% 247.18/174.25  fof(i_0_1982, plain, ![X4166, X4167]:(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4167,X4166)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|(c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4166,X4167)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X4167=X4166)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diffs0__imp__equal])])).
% 247.18/174.25  fof(i_0_1983, plain, ![X4754, X4755, X4756]:(~class_Groups_Ozero(X4756)|(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X4756,X4755),X4754)|hAPP(c_Polynomial_Ocoeff(X4756,X4755),X4754)=c_Groups_Ozero__class_Ozero(X4756))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__eq__0])])).
% 247.18/174.25  cnf(i_0_1984, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1238])).
% 247.18/174.25  fof(i_0_1985, plain, ![X4056, X4057, X4058]:(~class_Fields_Ofield(X4058)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4058),c_Polynomial_Opoly__gcd(X4058,X4057,X4056),X4057)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd__dvd1])])).
% 247.18/174.25  fof(i_0_1986, plain, ![X4059, X4060, X4061]:(~class_Fields_Ofield(X4061)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X4061),c_Polynomial_Opoly__gcd(X4061,X4060,X4059),X4059)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd__dvd2])])).
% 247.18/174.25  fof(i_0_1987, plain, ![X5427, X5428]:((X5427!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5428))|c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X5428),X5427)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5428))|~class_Rings_Olinordered__idom(X5428))&((~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X5428),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5428)),X5427)|c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X5428),X5427)=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5428))|X5427=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5428))|~class_Rings_Olinordered__idom(X5428))&(c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X5428),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5428)),X5427)|c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X5428),X5427)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5428),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X5428)))|X5427=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5428))|~class_Rings_Olinordered__idom(X5428)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1257])])])).
% 247.18/174.25  fof(i_0_1988, plain, ![X4975, X4976, X4977]:(~class_Rings_Odivision__ring(X4977)|(X4976=c_Groups_Ozero__class_Ozero(X4977)|c_Rings_Oinverse__class_Odivide(X4977,c_Groups_Ouminus__class_Ouminus(X4977,X4975),c_Groups_Ouminus__class_Ouminus(X4977,X4976))=c_Rings_Oinverse__class_Odivide(X4977,X4975,X4976))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__minus__divide__divide])])).
% 247.18/174.25  fof(i_0_1989, plain, ![X4063, X4064]:((~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4064,X4063)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4064),X4063))&(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4064),X4063)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4064,X4063))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_uminus__dvd__conv_I1_J])])).
% 247.18/174.25  fof(i_0_1990, plain, ![X4065, X4066]:((~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4066,X4065)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4066,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4065)))&(~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4066,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4065))|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X4066,X4065))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_uminus__dvd__conv_I2_J])])).
% 247.18/174.25  fof(i_0_1991, plain, ![X5434, X5435, X5436]:(~class_Divides_Osemiring__div(X5436)|c_Divides_Odiv__class_Odiv(X5436,c_Divides_Odiv__class_Omod(X5436,X5435,X5434),X5434)=c_Groups_Ozero__class_Ozero(X5436)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__div__trivial])])).
% 247.18/174.25  cnf(i_0_1992, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1258])).
% 247.18/174.25  fof(i_0_1993, plain, ![X5467, X5468, X5469]:(~class_Divides_Osemiring__div(X5469)|(X5468=c_Groups_Ozero__class_Ozero(X5469)|c_Divides_Odiv__class_Odiv(X5469,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5469),X5468),X5467),X5468)=X5467)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self1__is__id])])).
% 247.18/174.25  fof(i_0_1994, plain, ![X5470, X5471, X5472]:(~class_Divides_Osemiring__div(X5472)|(X5471=c_Groups_Ozero__class_Ozero(X5472)|c_Divides_Odiv__class_Odiv(X5472,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5472),X5470),X5471),X5471)=X5470)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__mult__self2__is__id])])).
% 247.18/174.25  fof(i_0_1995, plain, ![X5724, X5725]:(~class_Rings_Olinordered__ring(X5725)|c_Orderings_Oord__class_Oless__eq(X5725,c_Groups_Ozero__class_Ozero(X5725),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5725),X5724),X5724))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__square])])).
% 247.18/174.25  fof(i_0_1996, plain, ![X5799, X5800]:(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5800,X5799)|(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5799,X5800)|X5800=X5799)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zle__antisym])])).
% 247.18/174.25  fof(i_0_1997, plain, ![X3696, X3697]:(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3697,X3696)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3696,X3697)|X3697=X3696)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd_Oantisym])])).
% 247.18/174.25  fof(i_0_1998, plain, ![X3694, X3695]:(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3695,X3694)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3694,X3695)|X3695=X3694)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__antisym])])).
% 247.18/174.25  fof(i_0_1999, plain, ![X3686, X3687]:((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3687,X3686)|X3687=X3686|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3687,X3686))&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3686,X3687)|X3687=X3686|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3687,X3686))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1259])])])).
% 247.18/174.25  fof(i_0_2000, plain, ![X3684, X3685]:((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3685,X3684)|X3685=X3684|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3685,X3684))&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3684,X3685)|X3685=X3684|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3685,X3684))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1260])])])).
% 247.18/174.25  fof(i_0_2001, plain, ![X3682, X3683]:((~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3682,X3683)|X3682=X3683|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3683,X3682))&(X3682!=X3683|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3682,X3683)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3683,X3682))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd_Oantisym__conv])])])).
% 247.18/174.25  fof(i_0_2002, plain, ![X3678, X3679]:((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3679,X3678)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3679,X3678)|X3679=X3678)&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3678,X3679)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3679,X3678)|X3679=X3678)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1261])])])).
% 247.18/174.25  fof(i_0_2003, plain, ![X3676, X3677]:(((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3677,X3676)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3677,X3676)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3676,X3677)))&(X3677!=X3676|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3677,X3676)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3676,X3677))))&((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3677,X3676)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3677,X3676)|X3677=X3676))&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3676,X3677)|(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3677,X3676)|X3677=X3676)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1262])])])).
% 247.18/174.25  fof(i_0_2004, plain, ![X3674, X3675]:(((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3675,X3674)|X3675=X3674|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3675,X3674))&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3674,X3675)|X3675=X3674|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3675,X3674)))&((~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3675,X3674)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3674,X3675)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3675,X3674))&(X3675!=X3674|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3675,X3674)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1263])])])).
% 247.18/174.25  fof(i_0_2005, plain, ![X3672, X3673]:(((c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3673,X3672)|X3673!=X3672)&(c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3672,X3673)|X3673!=X3672))&(~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3673,X3672)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3672,X3673)|X3673=X3672)), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd_Oeq__iff])])])).
% 247.18/174.25  cnf(i_0_2006, plain, (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))=X1), inference(split_conjunct,[status(thm)],[i_0_1264])).
% 247.18/174.25  fof(i_0_2007, plain, ![X4156, X4157, X4158]:(~class_Groups_Ogroup__add(X4158)|c_Groups_Ominus__class_Ominus(X4158,c_Groups_Oplus__class_Oplus(X4158,X4157,X4156),X4156)=X4157), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__diff__cancel])])).
% 247.18/174.25  fof(i_0_2008, plain, ![X4153, X4154, X4155]:(~class_Groups_Ogroup__add(X4155)|c_Groups_Oplus__class_Oplus(X4155,c_Groups_Ominus__class_Ominus(X4155,X4154,X4153),X4153)=X4154), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__add__cancel])])).
% 247.18/174.25  cnf(i_0_2009, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)), inference(split_conjunct,[status(thm)],[i_0_1265])).
% 247.18/174.25  fof(i_0_2010, plain, ![X4797, X4798]:(((X4798=c_Groups_Oone__class_Oone(tc_Int_Oint)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4798),X4797)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4798))&(X4797=c_Groups_Oone__class_Oone(tc_Int_Oint)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4798),X4797)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4798)))&(X4798!=c_Groups_Oone__class_Oone(tc_Int_Oint)|X4797!=c_Groups_Oone__class_Oone(tc_Int_Oint)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4798),X4797)=c_Groups_Oone__class_Oone(tc_Int_Oint)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4798))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__zmult__eq__1__iff])])])).
% 247.18/174.25  cnf(i_0_2011, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1209])).
% 247.18/174.25  fof(i_0_2012, plain, ![X3604, X3605, X3606]:((c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3606,X3605)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3604,X3605)|X3606=X3604)&(X3606!=X3604|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3606,X3605)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3604,X3605))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__right__cancel])])).
% 247.18/174.25  fof(i_0_2013, plain, ![X3607, X3608, X3609]:((c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3609,X3608)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3609,X3607)|X3608=X3607)&(X3608!=X3607|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3609,X3608)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3609,X3607))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__add__left__cancel])])).
% 247.18/174.25  fof(i_0_2014, plain, ![X5409, X5410, X5411]:(~class_Divides_Osemiring__div(X5411)|c_Divides_Odiv__class_Omod(X5411,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5411),X5410),X5409),X5410)=c_Groups_Ozero__class_Ozero(X5411)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__mult__self1__is__0])])).
% 247.18/174.25  fof(i_0_2015, plain, ![X5412, X5413, X5414]:(~class_Divides_Osemiring__div(X5414)|c_Divides_Odiv__class_Omod(X5414,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5414),X5413),X5412),X5412)=c_Groups_Ozero__class_Ozero(X5414)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__mult__self2__is__0])])).
% 247.18/174.25  fof(i_0_2016, plain, ![X5031, X5032, X5033]:(~class_Fields_Ofield__inverse__zero(X5033)|c_Rings_Oinverse__class_Odivide(X5033,c_Groups_Ouminus__class_Ouminus(X5033,X5032),c_Groups_Ouminus__class_Ouminus(X5033,X5031))=c_Rings_Oinverse__class_Odivide(X5033,X5032,X5031)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__divide__divide])])).
% 247.18/174.25  fof(i_0_2017, plain, ![X3190, X3191]:(~class_Groups_Ozero(X3191)|c_Polynomial_Odegree(X3191,c_Polynomial_OpCons(X3191,X3190,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3191))))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__pCons__0])])).
% 247.18/174.25  cnf(i_0_2018, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Nat_OSuc(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1), inference(split_conjunct,[status(thm)],[i_0_1266])).
% 247.18/174.25  cnf(i_0_2019, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X2))|X1!=X2), inference(split_conjunct,[status(thm)],[i_0_1224])).
% 247.18/174.25  fof(i_0_2020, plain, ![X5162, X5163, X5164]:(~class_Fields_Ofield(X5164)|c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5164),X5163,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5164),X5162))=c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X5164),X5163,X5162)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__mod__minus__right])])).
% 247.18/174.25  cnf(i_0_2021, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Nat_OSuc(X1))), inference(split_conjunct,[status(thm)],[i_0_1267])).
% 247.18/174.25  fof(i_0_2022, plain, ![X5226, X5227]:(c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5227),X5226)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X5227,X5226)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmod__zminus1__not__zero])])).
% 247.18/174.25  fof(i_0_2023, plain, ![X5224, X5225]:(c_Divides_Odiv__class_Omod(tc_Int_Oint,X5225,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5224))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X5225,X5224)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmod__zminus2__not__zero])])).
% 247.18/174.25  fof(i_0_2024, plain, ![X3539, X3540, X3541]:(~class_Rings_Ocomm__semiring__1(X3541)|c_Rings_Odvd__class_Odvd(X3541,X3540,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3541),X3540),X3539))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__triv__left])])).
% 247.18/174.25  fof(i_0_2025, plain, ![X3536, X3537, X3538]:(~class_Rings_Ocomm__semiring__1(X3538)|c_Rings_Odvd__class_Odvd(X3538,X3537,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3538),X3536),X3537))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__triv__right])])).
% 247.18/174.25  cnf(i_0_2026, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Nat_OSuc(X1))), inference(split_conjunct,[status(thm)],[i_0_1268])).
% 247.18/174.25  fof(i_0_2027, plain, ![X5215, X5216, X5218, X5219, X5220]:((c_Divides_Odiv__class_Omod(tc_Int_Oint,X5216,X5215)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X5216=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5215),esk21_2(X5215,X5216)))&(X5219!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X5218),X5220)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X5219,X5218)=c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zmod__eq__0__iff])])])])])).
% 247.18/174.25  fof(i_0_2028, plain, ![X5209, X5210, X5212, X5213, X5214]:((c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5210,X5209)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X5210=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5209),esk20_2(X5209,X5210)))&(X5213!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X5212),X5214)|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5213,X5212)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__eq__0__iff])])])])])).
% 247.18/174.25  fof(i_0_2029, plain, ![X5432, X5433]:c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X5433,X5432),X5432)=c_Groups_Ozero__class_Ozero(tc_Int_Oint), inference(variable_rename,[status(thm)],[fact_zmod__zdiv__trivial])).
% 247.18/174.25  fof(i_0_2030, plain, ![X4252, X4253]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4253,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4253,X4252))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), inference(variable_rename,[status(thm)],[fact_diff__add__0])).
% 247.18/174.25  fof(i_0_2031, plain, ![X4181, X4182]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4182,X4181),X4182)=X4181, inference(variable_rename,[status(thm)],[fact_diff__add__inverse])).
% 247.18/174.25  fof(i_0_2032, plain, ![X4179, X4180]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4180,X4179),X4179)=X4180, inference(variable_rename,[status(thm)],[fact_diff__add__inverse2])).
% 247.18/174.25  fof(i_0_2033, plain, ![X4951, X4952, X4953, X4954]:(((X4952=c_Groups_Ozero__class_Ozero(X4954)|X4953=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4954),X4951),X4952)|c_Rings_Oinverse__class_Odivide(X4954,X4953,X4952)!=X4951|~class_Fields_Ofield__inverse__zero(X4954))&(X4952!=c_Groups_Ozero__class_Ozero(X4954)|X4951=c_Groups_Ozero__class_Ozero(X4954)|c_Rings_Oinverse__class_Odivide(X4954,X4953,X4952)!=X4951|~class_Fields_Ofield__inverse__zero(X4954)))&(((X4952=c_Groups_Ozero__class_Ozero(X4954)|X4952!=c_Groups_Ozero__class_Ozero(X4954)|c_Rings_Oinverse__class_Odivide(X4954,X4953,X4952)=X4951|~class_Fields_Ofield__inverse__zero(X4954))&(X4951!=c_Groups_Ozero__class_Ozero(X4954)|X4952!=c_Groups_Ozero__class_Ozero(X4954)|c_Rings_Oinverse__class_Odivide(X4954,X4953,X4952)=X4951|~class_Fields_Ofield__inverse__zero(X4954)))&((X4952=c_Groups_Ozero__class_Ozero(X4954)|X4953!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4954),X4951),X4952)|c_Rings_Oinverse__class_Odivide(X4954,X4953,X4952)=X4951|~class_Fields_Ofield__inverse__zero(X4954))&(X4951!=c_Groups_Ozero__class_Ozero(X4954)|X4953!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4954),X4951),X4952)|c_Rings_Oinverse__class_Odivide(X4954,X4953,X4952)=X4951|~class_Fields_Ofield__inverse__zero(X4954))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__eq__eq])])])).
% 247.18/174.25  fof(i_0_2034, plain, ![X4947, X4948, X4949, X4950]:(((X4947=c_Groups_Ozero__class_Ozero(X4950)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4950),X4949),X4947)=X4948|X4949!=c_Rings_Oinverse__class_Odivide(X4950,X4948,X4947)|~class_Fields_Ofield__inverse__zero(X4950))&(X4947!=c_Groups_Ozero__class_Ozero(X4950)|X4949=c_Groups_Ozero__class_Ozero(X4950)|X4949!=c_Rings_Oinverse__class_Odivide(X4950,X4948,X4947)|~class_Fields_Ofield__inverse__zero(X4950)))&(((X4947=c_Groups_Ozero__class_Ozero(X4950)|X4947!=c_Groups_Ozero__class_Ozero(X4950)|X4949=c_Rings_Oinverse__class_Odivide(X4950,X4948,X4947)|~class_Fields_Ofield__inverse__zero(X4950))&(X4949!=c_Groups_Ozero__class_Ozero(X4950)|X4947!=c_Groups_Ozero__class_Ozero(X4950)|X4949=c_Rings_Oinverse__class_Odivide(X4950,X4948,X4947)|~class_Fields_Ofield__inverse__zero(X4950)))&((X4947=c_Groups_Ozero__class_Ozero(X4950)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4950),X4949),X4947)!=X4948|X4949=c_Rings_Oinverse__class_Odivide(X4950,X4948,X4947)|~class_Fields_Ofield__inverse__zero(X4950))&(X4949!=c_Groups_Ozero__class_Ozero(X4950)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4950),X4949),X4947)!=X4948|X4949=c_Rings_Oinverse__class_Odivide(X4950,X4948,X4947)|~class_Fields_Ofield__inverse__zero(X4950))))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__divide__eq])])])).
% 247.18/174.25  fof(i_0_2035, plain, ![X5194, X5195, X5196]:((~c_Rings_Odvd__class_Odvd(X5196,X5195,X5194)|c_Divides_Odiv__class_Omod(X5196,X5194,X5195)=c_Groups_Ozero__class_Ozero(X5196)|~class_Divides_Osemiring__div(X5196))&(c_Divides_Odiv__class_Omod(X5196,X5194,X5195)!=c_Groups_Ozero__class_Ozero(X5196)|c_Rings_Odvd__class_Odvd(X5196,X5195,X5194)|~class_Divides_Osemiring__div(X5196))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__eq__mod__eq__0])])])).
% 247.18/174.25  fof(i_0_2036, plain, ![X4071, X4072, X4073]:(~class_Fields_Ofield(X4073)|c_Polynomial_Opoly__gcd(X4073,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X4073),X4072),X4071)=c_Polynomial_Opoly__gcd(X4073,X4072,X4071)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd__minus__left])])).
% 247.18/174.25  fof(i_0_2037, plain, ![X4074, X4075, X4076]:(~class_Fields_Ofield(X4076)|c_Polynomial_Opoly__gcd(X4076,X4075,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X4076),X4074))=c_Polynomial_Opoly__gcd(X4076,X4075,X4074)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd__minus__right])])).
% 247.18/174.25  fof(i_0_2038, plain, ![X4943, X4944, X4945, X4946]:((X4944!=c_Rings_Oinverse__class_Odivide(X4946,X4943,X4945)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4946),X4944),X4945)=X4943|X4945=c_Groups_Ozero__class_Ozero(X4946)|~class_Rings_Odivision__ring(X4946))&(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4946),X4944),X4945)!=X4943|X4944=c_Rings_Oinverse__class_Odivide(X4946,X4943,X4945)|X4945=c_Groups_Ozero__class_Ozero(X4946)|~class_Rings_Odivision__ring(X4946))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__eq__divide__eq])])])).
% 247.18/174.25  fof(i_0_2039, plain, ![X4939, X4940, X4941, X4942]:((c_Rings_Oinverse__class_Odivide(X4942,X4940,X4941)!=X4939|X4940=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4942),X4939),X4941)|X4941=c_Groups_Ozero__class_Ozero(X4942)|~class_Rings_Odivision__ring(X4942))&(X4940!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4942),X4939),X4941)|c_Rings_Oinverse__class_Odivide(X4942,X4940,X4941)=X4939|X4941=c_Groups_Ozero__class_Ozero(X4942)|~class_Rings_Odivision__ring(X4942))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__divide__eq__eq])])])).
% 247.18/174.25  fof(i_0_2040, plain, ![X5197, X5198, X5199]:(~class_Divides_Osemiring__div(X5199)|(~c_Rings_Odvd__class_Odvd(X5199,X5198,X5197)|c_Divides_Odiv__class_Omod(X5199,X5197,X5198)=c_Groups_Ozero__class_Ozero(X5199))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__imp__mod__0])])).
% 247.18/174.25  fof(i_0_2041, plain, ![X4935, X4936, X4937, X4938]:(~class_Rings_Odivision__ring(X4938)|(X4937=c_Groups_Ozero__class_Ozero(X4938)|(X4936!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4938),X4935),X4937)|c_Rings_Oinverse__class_Odivide(X4938,X4936,X4937)=X4935))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__eq__imp])])).
% 247.18/174.25  fof(i_0_2042, plain, ![X4931, X4932, X4933, X4934]:(~class_Rings_Odivision__ring(X4934)|(X4933=c_Groups_Ozero__class_Ozero(X4934)|(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4934),X4932),X4933)!=X4931|X4932=c_Rings_Oinverse__class_Odivide(X4934,X4931,X4933)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__divide__imp])])).
% 247.18/174.25  cnf(i_0_2043, plain, (X1=c_Nat_OSuc(esk16_1(X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1269])).
% 247.18/174.25  fof(i_0_2044, plain, ![X5485, X5486]:c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5486),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5485))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5486,X5485), inference(variable_rename,[status(thm)],[fact_zdiv__zminus__zminus])).
% 247.18/174.25  fof(i_0_2045, plain, ![X5483, X5484]:c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5484,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5483))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X5484),X5483), inference(variable_rename,[status(thm)],[fact_zdiv__zminus2])).
% 247.18/174.25  fof(i_0_2046, plain, ![X3601, X3602, X3603]:((hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3603),X3602)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3601),X3602)|(X3603=X3601|X3602=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&((X3603!=X3601|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3603),X3602)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3601),X3602))&(X3602!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3603),X3602)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3601),X3602)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__cancel2])])])).
% 247.18/174.25  fof(i_0_2047, plain, ![X3649, X3650, X3651]:((hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3651),X3650)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3651),X3649)|(X3651=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X3650=X3649))&((X3651!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3651),X3650)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3651),X3649))&(X3650!=X3649|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3651),X3650)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3651),X3649)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__eq__cancel__disj])])])).
% 247.18/174.25  fof(i_0_2048, plain, ![X3598, X3599, X3600]:((hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3600),X3599)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3600),X3598)|(X3599=X3598|X3600=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&((X3599!=X3598|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3600),X3599)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3600),X3598))&(X3600!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3600),X3599)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3600),X3598)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__cancel1])])])).
% 247.18/174.25  fof(i_0_2049, plain, ![X4011, X4012]:(~class_Rings_Ocomm__ring__1(X4012)|c_Groups_Ouminus__class_Ouminus(X4012,X4011)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4012),c_Groups_Ouminus__class_Ouminus(X4012,c_Groups_Oone__class_Oone(X4012))),X4011)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__ring__1__class_Onormalizing__ring__rules_I1_J])])).
% 247.18/174.25  fof(i_0_2050, plain, ![X3296, X3297, X3298]:((X3297!=c_Groups_Ozero__class_Ozero(X3298)|c_Polynomial_Odegree(X3298,c_Polynomial_Osmult(X3298,X3297,X3296))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Oidom(X3298))&(X3297=c_Groups_Ozero__class_Ozero(X3298)|c_Polynomial_Odegree(X3298,c_Polynomial_Osmult(X3298,X3297,X3296))=c_Polynomial_Odegree(X3298,X3296)|~class_Rings_Oidom(X3298))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__smult__eq])])])).
% 247.18/174.25  cnf(i_0_2051, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|X1!=c_Nat_OSuc(X2)), inference(split_conjunct,[status(thm)],[i_0_1269])).
% 247.18/174.25  fof(i_0_2052, plain, ![X3519, X3520, X3521, X3522]:(~class_Rings_Odvd(X3522)|(X3521!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3522),X3520),X3519)|c_Rings_Odvd__class_Odvd(X3522,X3520,X3521))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvdI])])).
% 247.18/174.25  fof(i_0_2053, plain, ![X4240, X4241, X4242]:(~class_Groups_Ogroup__add(X4242)|c_Groups_Ominus__class_Ominus(X4242,X4241,c_Groups_Ouminus__class_Ouminus(X4242,X4240))=c_Groups_Oplus__class_Oplus(X4242,X4241,X4240)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__minus__eq__add])])).
% 247.18/174.25  fof(i_0_2054, plain, ![X4246, X4247, X4248]:(~class_Groups_Ogroup__add(X4248)|c_Groups_Ominus__class_Ominus(X4248,X4247,X4246)=c_Groups_Oplus__class_Oplus(X4248,X4247,c_Groups_Ouminus__class_Ouminus(X4248,X4246))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__def])])).
% 247.18/174.25  fof(i_0_2055, plain, ![X4243, X4244, X4245]:(~class_Groups_Oab__group__add(X4245)|c_Groups_Ominus__class_Ominus(X4245,X4244,X4243)=c_Groups_Oplus__class_Oplus(X4245,X4244,c_Groups_Ouminus__class_Ouminus(X4245,X4243))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ab__diff__minus])])).
% 247.18/174.25  fof(i_0_2056, plain, ![X4249, X4250, X4251]:(~class_Rings_Ocomm__ring__1(X4251)|c_Groups_Ominus__class_Ominus(X4251,X4250,X4249)=c_Groups_Oplus__class_Oplus(X4251,X4250,c_Groups_Ouminus__class_Ouminus(X4251,X4249))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__ring__1__class_Onormalizing__ring__rules_I2_J])])).
% 247.18/174.25  fof(i_0_2057, plain, ![X3289, X3290, X3291]:(~class_Rings_Ocomm__semiring__0(X3291)|c_Polynomial_Odegree(X3291,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3291,X3290,X3289))=c_Polynomial_Odegree(X3291,X3290)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__offset__poly])])).
% 247.18/174.25  fof(i_0_2058, plain, hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),esk7_0), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact__096_B_Bthesis_O_A_I_B_Br_O_Aq_A_094_Adegree_Ap_A_061_Ap_A_K_Ar_A_061_061_062_Athesis_J_A_061_061_062_Athesis_096])])])).
% 247.18/174.25  fof(i_0_2059, plain, ![X5043, X5044, X5045]:(~class_Rings_Odivision__ring(X5045)|c_Rings_Oinverse__class_Odivide(X5045,X5044,X5043)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5045),X5044),c_Rings_Oinverse__class_Oinverse(X5045,X5043))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__inverse])])).
% 247.18/174.25  fof(i_0_2060, plain, ![X5040, X5041, X5042]:(~class_Fields_Ofield(X5042)|c_Rings_Oinverse__class_Odivide(X5042,X5041,X5040)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5042),X5041),c_Rings_Oinverse__class_Oinverse(X5042,X5040))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_field__divide__inverse])])).
% 247.18/174.25  fof(i_0_2061, plain, ![X5863, X5864]:(((c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5864,X5863)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5864,X5863))&(X5864!=X5863|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X5864,X5863)))&(~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5864,X5863)|X5864=X5863|c_Orderings_Oord__class_Oless(tc_Int_Oint,X5864,X5863))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zless__le])])])).
% 247.18/174.25  fof(i_0_2062, plain, ![X5634, X5635]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5635,X5634)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X5635,X5634)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__less])])).
% 247.18/174.25  fof(i_0_2063, plain, ![X5271, X5272]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X5272,X5271)|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X5272,X5271)=X5272), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__less])])).
% 247.18/174.25  fof(i_0_2064, plain, ![X3318, X3319]:(~class_Groups_Ozero(X3319)|c_Polynomial_Omonom(X3319,X3318,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Polynomial_OpCons(X3319,X3318,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3319)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_monom__0])])).
% 247.18/174.25  fof(i_0_2065, plain, ![X5609, X5610]:(~class_Rings_Olinordered__idom(X5610)|(~c_Orderings_Oord__class_Oless(X5610,X5609,c_Groups_Ozero__class_Ozero(X5610))|c_Groups_Osgn__class_Osgn(X5610,X5609)=c_Groups_Ouminus__class_Ouminus(X5610,c_Groups_Oone__class_Oone(X5610)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__neg])])).
% 247.18/174.25  fof(i_0_2066, plain, ![X5607, X5608]:((c_Groups_Osgn__class_Osgn(X5608,X5607)!=c_Groups_Ouminus__class_Ouminus(X5608,c_Groups_Oone__class_Oone(X5608))|c_Orderings_Oord__class_Oless(X5608,X5607,c_Groups_Ozero__class_Ozero(X5608))|~class_Rings_Olinordered__idom(X5608))&(~c_Orderings_Oord__class_Oless(X5608,X5607,c_Groups_Ozero__class_Ozero(X5608))|c_Groups_Osgn__class_Osgn(X5608,X5607)=c_Groups_Ouminus__class_Ouminus(X5608,c_Groups_Oone__class_Oone(X5608))|~class_Rings_Olinordered__idom(X5608))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__1__neg])])])).
% 247.18/174.25  fof(i_0_2067, plain, ![X3311, X3312, X3313]:(~class_Groups_Ozero(X3313)|(X3312=c_Groups_Ozero__class_Ozero(X3313)|c_Polynomial_Odegree(X3313,c_Polynomial_Omonom(X3313,X3312,X3311))=X3311)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__monom__eq])])).
% 247.18/174.25  fof(i_0_2068, plain, ![X3269, X3270]:(~class_Rings_Ocomm__semiring__0(X3270)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3270)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3270))),X3269)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3270))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__poly__0__left])])).
% 247.18/174.25  fof(i_0_2069, plain, ![X3115, X3116]:((hAPP(c_Polynomial_Ocoeff(X3116,X3115),c_Polynomial_Odegree(X3116,X3115))!=c_Groups_Ozero__class_Ozero(X3116)|X3115=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3116))|~class_Groups_Ozero(X3116))&(X3115!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3116))|hAPP(c_Polynomial_Ocoeff(X3116,X3115),c_Polynomial_Odegree(X3116,X3115))=c_Groups_Ozero__class_Ozero(X3116)|~class_Groups_Ozero(X3116))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_leading__coeff__0__iff])])])).
% 247.18/174.25  fof(i_0_2070, plain, ![X3113, X3114]:(~class_Groups_Ozero(X3114)|(X3113=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3114))|hAPP(c_Polynomial_Ocoeff(X3114,X3113),c_Polynomial_Odegree(X3114,X3113))!=c_Groups_Ozero__class_Ozero(X3114))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_leading__coeff__neq__0])])).
% 247.18/174.25  fof(i_0_2071, plain, ![X4314, X4315]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4315,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4314))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4315,X4314), inference(variable_rename,[status(thm)],[fact_diff__int__def__symmetric])).
% 247.18/174.25  fof(i_0_2072, plain, ![X4312, X4313]:c_Groups_Ominus__class_Ominus(tc_Int_Oint,X4313,X4312)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4313,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4312)), inference(variable_rename,[status(thm)],[fact_diff__int__def])).
% 247.18/174.25  fof(i_0_2073, plain, ![X3031, X3032]:(hAPP(X3032,esk1_2(X3031,X3032))!=hAPP(X3031,esk1_2(X3031,X3032))|X3032=X3031), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ext])])])).
% 247.18/174.25  fof(i_0_2074, plain, ![X5611, X5612]:((X5611!=c_Groups_Ozero__class_Ozero(X5612)|c_Groups_Osgn__class_Osgn(X5612,X5611)=c_Groups_Ozero__class_Ozero(X5612)|~class_Groups_Osgn__if(X5612))&((~c_Orderings_Oord__class_Oless(X5612,c_Groups_Ozero__class_Ozero(X5612),X5611)|c_Groups_Osgn__class_Osgn(X5612,X5611)=c_Groups_Oone__class_Oone(X5612)|X5611=c_Groups_Ozero__class_Ozero(X5612)|~class_Groups_Osgn__if(X5612))&(c_Orderings_Oord__class_Oless(X5612,c_Groups_Ozero__class_Ozero(X5612),X5611)|c_Groups_Osgn__class_Osgn(X5612,X5611)=c_Groups_Ouminus__class_Ouminus(X5612,c_Groups_Oone__class_Oone(X5612))|X5611=c_Groups_Ozero__class_Ozero(X5612)|~class_Groups_Osgn__if(X5612)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1270])])])).
% 247.18/174.25  fof(i_0_2075, plain, ![X3068, X3069, X3070]:((c_Polynomial_Osmult(X3070,X3069,X3068)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3070))|(X3069=c_Groups_Ozero__class_Ozero(X3070)|X3068=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3070)))|~class_Rings_Oidom(X3070))&((X3069!=c_Groups_Ozero__class_Ozero(X3070)|c_Polynomial_Osmult(X3070,X3069,X3068)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3070))|~class_Rings_Oidom(X3070))&(X3068!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3070))|c_Polynomial_Osmult(X3070,X3069,X3068)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3070))|~class_Rings_Oidom(X3070)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__eq__0__iff])])])).
% 247.18/174.25  fof(i_0_2076, plain, ![X3630, X3631, X3632]:((c_Polynomial_Osynthetic__div(X3632,X3631,X3630)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3632))|c_Polynomial_Odegree(X3632,X3631)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Ocomm__semiring__0(X3632))&(c_Polynomial_Odegree(X3632,X3631)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Polynomial_Osynthetic__div(X3632,X3631,X3630)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3632))|~class_Rings_Ocomm__semiring__0(X3632))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_synthetic__div__eq__0__iff])])])).
% 247.18/174.25  fof(i_0_2077, plain, ![X3347, X3348, X3349]:(((X3348=c_Groups_Ozero__class_Ozero(X3349)|hAPP(hAPP(c_Power_Opower__class_Opower(X3349),X3348),X3347)!=c_Groups_Ozero__class_Ozero(X3349)|(~class_Power_Opower(X3349)|~class_Rings_Omult__zero(X3349)|~class_Rings_Ono__zero__divisors(X3349)|~class_Rings_Ozero__neq__one(X3349)))&(X3347!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(X3349),X3348),X3347)!=c_Groups_Ozero__class_Ozero(X3349)|(~class_Power_Opower(X3349)|~class_Rings_Omult__zero(X3349)|~class_Rings_Ono__zero__divisors(X3349)|~class_Rings_Ozero__neq__one(X3349))))&(X3348!=c_Groups_Ozero__class_Ozero(X3349)|X3347=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(X3349),X3348),X3347)=c_Groups_Ozero__class_Ozero(X3349)|(~class_Power_Opower(X3349)|~class_Rings_Omult__zero(X3349)|~class_Rings_Ono__zero__divisors(X3349)|~class_Rings_Ozero__neq__one(X3349)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__eq__0__iff])])])).
% 247.18/174.25  fof(i_0_2078, plain, ![X4009, X4010]:((hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4010),X4009),X4009)!=c_Groups_Oone__class_Oone(X4010)|(X4009=c_Groups_Oone__class_Oone(X4010)|X4009=c_Groups_Ouminus__class_Ouminus(X4010,c_Groups_Oone__class_Oone(X4010)))|~class_Rings_Oring__1__no__zero__divisors(X4010))&((X4009!=c_Groups_Oone__class_Oone(X4010)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4010),X4009),X4009)=c_Groups_Oone__class_Oone(X4010)|~class_Rings_Oring__1__no__zero__divisors(X4010))&(X4009!=c_Groups_Ouminus__class_Ouminus(X4010,c_Groups_Oone__class_Oone(X4010))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4010),X4009),X4009)=c_Groups_Oone__class_Oone(X4010)|~class_Rings_Oring__1__no__zero__divisors(X4010)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_square__eq__1__iff])])])).
% 247.18/174.25  fof(i_0_2079, plain, ![X5598, X5599]:(~class_Rings_Olinordered__idom(X5599)|(~c_Orderings_Oord__class_Oless(X5599,c_Groups_Ozero__class_Ozero(X5599),X5598)|c_Groups_Osgn__class_Osgn(X5599,X5598)=c_Groups_Oone__class_Oone(X5599))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__pos])])).
% 247.18/174.25  fof(i_0_2080, plain, ![X5596, X5597]:((c_Groups_Osgn__class_Osgn(X5597,X5596)!=c_Groups_Oone__class_Oone(X5597)|c_Orderings_Oord__class_Oless(X5597,c_Groups_Ozero__class_Ozero(X5597),X5596)|~class_Rings_Olinordered__idom(X5597))&(~c_Orderings_Oord__class_Oless(X5597,c_Groups_Ozero__class_Ozero(X5597),X5596)|c_Groups_Osgn__class_Osgn(X5597,X5596)=c_Groups_Oone__class_Oone(X5597)|~class_Rings_Olinordered__idom(X5597))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__1__pos])])])).
% 247.18/174.25  fof(i_0_2081, plain, ![X4691, X4692]:(~class_Rings_Odivision__ring(X4692)|(X4691=c_Groups_Ozero__class_Ozero(X4692)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4692),c_Rings_Oinverse__class_Oinverse(X4692,X4691)),X4691)=c_Groups_Oone__class_Oone(X4692))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_left__inverse])])).
% 247.18/174.25  fof(i_0_2082, plain, ![X4775, X4776]:(~class_Fields_Ofield(X4776)|(X4775=c_Groups_Ozero__class_Ozero(X4776)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4776),c_Rings_Oinverse__class_Oinverse(X4776,X4775)),X4775)=c_Groups_Oone__class_Oone(X4776))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_field__inverse])])).
% 247.18/174.25  fof(i_0_2083, plain, ![X4203, X4204, X4205]:(((X4204=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4205))|c_Polynomial_Opoly__gcd(X4205,X4204,X4203)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4205))|~class_Fields_Ofield(X4205))&(X4203=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4205))|c_Polynomial_Opoly__gcd(X4205,X4204,X4203)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4205))|~class_Fields_Ofield(X4205)))&(X4204!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4205))|X4203!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4205))|c_Polynomial_Opoly__gcd(X4205,X4204,X4203)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4205))|~class_Fields_Ofield(X4205))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd__zero__iff])])])).
% 247.18/174.25  fof(i_0_2084, plain, ![X3293, X3294, X3295]:(((X3294=c_Groups_Ozero__class_Ozero(X3295)|c_Polynomial_OpCons(X3295,X3294,X3293)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3295))|~class_Groups_Ozero(X3295))&(X3293=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3295))|c_Polynomial_OpCons(X3295,X3294,X3293)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3295))|~class_Groups_Ozero(X3295)))&(X3294!=c_Groups_Ozero__class_Ozero(X3295)|X3293!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3295))|c_Polynomial_OpCons(X3295,X3294,X3293)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3295))|~class_Groups_Ozero(X3295))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pCons__eq__0__iff])])])).
% 247.18/174.25  fof(i_0_2085, plain, ![X3048, X3049, X3050]:((c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3050,X3049,X3048)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3050))|X3049=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3050))|~class_Rings_Ocomm__semiring__0(X3050))&(X3049!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3050))|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3050,X3049,X3048)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3050))|~class_Rings_Ocomm__semiring__0(X3050))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__eq__0__iff])])])).
% 247.18/174.25  fof(i_0_2086, plain, ![X3097]:(c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,X3097))|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X3097),esk6_1(X3097))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1271])])])).
% 247.18/174.25  fof(i_0_2087, plain, ![X4451, X4452, X4453]:(~class_Rings_Olinordered__idom(X4453)|(X4452=X4451|(c_Orderings_Oord__class_Oless(X4453,X4452,X4451)|c_Orderings_Oord__class_Oless(X4453,X4451,X4452)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1272])])).
% 247.18/174.25  fof(i_0_2088, plain, ![X3034, X3035, X3036, X3037, X3038, X3039, X3042, X3043]:((~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X3036,X3035,X3034)|hAPP(X3034,X3037)=hAPP(X3034,X3038))&(hAPP(X3039,esk2_1(X3039))!=hAPP(X3039,esk3_1(X3039))|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X3043,X3042,X3039))), inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_constant__def])])])])])).
% 247.18/174.25  fof(i_0_2089, plain, ![X4084, X4085, X4086]:(~class_Fields_Ofield(X4086)|c_Polynomial_Opoly__gcd(X4086,X4085,X4084)=c_Polynomial_Opoly__gcd(X4086,X4084,X4085)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd_Ocommute])])).
% 247.18/174.25  fof(i_0_2090, plain, ![X3434, X3435, X3436]:(~class_Rings_Ocomm__semiring__1(X3436)|c_Groups_Oplus__class_Oplus(X3436,X3435,X3434)=c_Groups_Oplus__class_Oplus(X3436,X3434,X3435)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I24_J])])).
% 247.18/174.25  fof(i_0_2091, plain, ![X3997, X3998, X3999]:(~class_Groups_Ogroup__add(X3999)|(c_Groups_Oplus__class_Oplus(X3999,X3998,X3997)!=c_Groups_Ozero__class_Ozero(X3999)|c_Groups_Ouminus__class_Ouminus(X3999,X3998)=X3997)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__unique])])).
% 247.18/174.25  fof(i_0_2092, plain, ![X4004, X4005, X4006]:((X4005!=c_Groups_Ouminus__class_Ouminus(X4006,X4004)|c_Groups_Oplus__class_Oplus(X4006,X4005,X4004)=c_Groups_Ozero__class_Ozero(X4006)|~class_Groups_Ogroup__add(X4006))&(c_Groups_Oplus__class_Oplus(X4006,X4005,X4004)!=c_Groups_Ozero__class_Ozero(X4006)|X4005=c_Groups_Ouminus__class_Ouminus(X4006,X4004)|~class_Groups_Ogroup__add(X4006))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__neg__iff__add__eq__0])])])).
% 247.18/174.25  fof(i_0_2093, plain, ![X4041, X4042, X4043]:((c_Groups_Oplus__class_Oplus(X4043,X4042,X4041)!=c_Groups_Ozero__class_Ozero(X4043)|X4041=c_Groups_Ouminus__class_Ouminus(X4043,X4042)|~class_Groups_Ogroup__add(X4043))&(X4041!=c_Groups_Ouminus__class_Ouminus(X4043,X4042)|c_Groups_Oplus__class_Oplus(X4043,X4042,X4041)=c_Groups_Ozero__class_Ozero(X4043)|~class_Groups_Ogroup__add(X4043))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__0__iff])])])).
% 247.18/174.25  cnf(i_0_2094, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1)=c_Nat_OSuc(c_Polynomial_Odegree(X2,X1))|~class_Groups_Ozero(X2)), inference(split_conjunct,[status(thm)],[i_0_1273])).
% 247.18/174.25  fof(i_0_2095, plain, ![X3059, X3060, X3061]:((c_Polynomial_Omonom(X3061,X3060,X3059)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3061))|X3060=c_Groups_Ozero__class_Ozero(X3061)|~class_Groups_Ozero(X3061))&(X3060!=c_Groups_Ozero__class_Ozero(X3061)|c_Polynomial_Omonom(X3061,X3060,X3059)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3061))|~class_Groups_Ozero(X3061))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_monom__eq__0__iff])])])).
% 247.18/174.25  fof(i_0_2096, plain, ![X5751]:(~class_Rings_Olinordered__semidom(X5751)|~c_Orderings_Oord__class_Oless__eq(X5751,c_Groups_Oone__class_Oone(X5751),c_Groups_Ozero__class_Ozero(X5751))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1274])])).
% 247.18/174.25  fof(i_0_2097, plain, ![X4584]:(~class_Rings_Olinordered__semidom(X4584)|~c_Orderings_Oord__class_Oless(X4584,c_Groups_Oone__class_Oone(X4584),c_Groups_Ozero__class_Ozero(X4584))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1275])])).
% 247.18/174.25  fof(i_0_2098, plain, ![X3271, X3272]:(~class_Rings_Ocomm__semiring__0(X3272)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X3272)),X3271),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3272)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3272))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__poly__0__right])])).
% 247.18/174.25  cnf(i_0_2099, plain, (c_Nat_OSuc(X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1276])).
% 247.18/174.25  fof(i_0_2100, plain, ![X3410, X3411, X3412]:(~class_Rings_Ocomm__semiring__1(X3412)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3412),X3411),X3410)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3412),X3410),X3411)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I7_J])])).
% 247.18/174.25  cnf(i_0_2101, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1250])).
% 247.18/174.25  fof(i_0_2102, plain, ![X4499, X4500, X4501]:(~class_Rings_Odivision__ring(X4501)|(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4501),X4500),X4499)!=c_Groups_Oone__class_Oone(X4501)|c_Rings_Oinverse__class_Oinverse(X4501,X4500)=X4499)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__unique])])).
% 247.18/174.25  fof(i_0_2103, plain, ![X4837, X4838]:(c_Orderings_Oord__class_Oless(tc_Int_Oint,X4838,X4837)|X4838=X4837|c_Orderings_Oord__class_Oless(tc_Int_Oint,X4837,X4838)), inference(variable_rename,[status(thm)],[fact_zless__linear])).
% 247.18/174.25  fof(i_0_2104, plain, ![X4436, X4437]:(X4437=X4436|(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4437,X4436)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4436,X4437))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1277])])).
% 247.18/174.25  fof(i_0_2105, plain, ![X4434, X4435]:((X4435=X4434|(c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4435,X4434)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4434,X4435)))&((~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4435,X4434)|X4435!=X4434)&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4434,X4435)|X4435!=X4434))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__neq__iff])])])).
% 247.18/174.25  fof(i_0_2106, plain, ![X4206]:(~class_Fields_Ofield(X4206)|c_Polynomial_Opoly__gcd(X4206,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4206)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4206)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4206))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd__0__0])])).
% 247.18/174.25  fof(i_0_2107, plain, ![X3506, X3507]:(~class_Rings_Ocomm__semiring__1(X3507)|(~c_Rings_Odvd__class_Odvd(X3507,c_Groups_Ozero__class_Ozero(X3507),X3506)|X3506=c_Groups_Ozero__class_Ozero(X3507))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__0__left])])).
% 247.18/174.25  fof(i_0_2108, plain, ![X4968, X4969, X4970]:((c_Rings_Oinverse__class_Odivide(X4970,X4968,X4969)!=c_Groups_Oone__class_Oone(X4970)|X4968=X4969|X4969=c_Groups_Ozero__class_Ozero(X4970)|~class_Rings_Odivision__ring(X4970))&(X4968!=X4969|c_Rings_Oinverse__class_Odivide(X4970,X4968,X4969)=c_Groups_Oone__class_Oone(X4970)|X4969=c_Groups_Ozero__class_Ozero(X4970)|~class_Rings_Odivision__ring(X4970))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__inverse__eq])])])).
% 247.18/174.25  fof(i_0_2109, plain, ![X5804, X5805]:(c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5805,X5804)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5804,X5805)), inference(variable_rename,[status(thm)],[fact_zle__linear])).
% 247.18/174.25  fof(i_0_2110, plain, ![X3457, X3458, X3459]:((hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3459),X3458),X3457)!=c_Groups_Ozero__class_Ozero(X3459)|(X3458=c_Groups_Ozero__class_Ozero(X3459)|X3457=c_Groups_Ozero__class_Ozero(X3459))|~class_Rings_Oring__no__zero__divisors(X3459))&((X3458!=c_Groups_Ozero__class_Ozero(X3459)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3459),X3458),X3457)=c_Groups_Ozero__class_Ozero(X3459)|~class_Rings_Oring__no__zero__divisors(X3459))&(X3457!=c_Groups_Ozero__class_Ozero(X3459)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3459),X3458),X3457)=c_Groups_Ozero__class_Ozero(X3459)|~class_Rings_Oring__no__zero__divisors(X3459)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__eq__0__iff])])])).
% 247.18/174.25  fof(i_0_2111, plain, ![X3454, X3455, X3456]:(~class_Rings_Ono__zero__divisors(X3456)|(X3455=c_Groups_Ozero__class_Ozero(X3456)|(X3454=c_Groups_Ozero__class_Ozero(X3456)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3456),X3455),X3454)!=c_Groups_Ozero__class_Ozero(X3456)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_no__zero__divisors])])).
% 247.18/174.25  fof(i_0_2112, plain, ![X3451, X3452, X3453]:(~class_Rings_Ono__zero__divisors(X3453)|(hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3453),X3452),X3451)!=c_Groups_Ozero__class_Ozero(X3453)|(X3452=c_Groups_Ozero__class_Ozero(X3453)|X3451=c_Groups_Ozero__class_Ozero(X3453)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divisors__zero])])).
% 247.18/174.25  fof(i_0_2113, plain, ![X4316, X4317]:(~class_Groups_Oab__group__add(X4317)|c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X4317),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4317)),X4316)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X4317),X4316)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__poly__code_I1_J])])).
% 247.18/174.25  fof(i_0_2114, plain, ![X3056]:(((hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk4_0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex)))&(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk4_0)!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))))&(v_q!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|(hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X3056)!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X3056)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)))), inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq])])])])])).
% 247.18/174.25  fof(i_0_2115, plain, ![X4119, X4120]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4120,X4119)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4119,X4120), inference(variable_rename,[status(thm)],[fact_zadd__commute])).
% 247.18/174.25  fof(i_0_2116, plain, ![X3624, X3625]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3625,X3624)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3624,X3625), inference(variable_rename,[status(thm)],[fact_nat__add__commute])).
% 247.18/174.25  fof(i_0_2117, plain, ![X3655, X3656]:((c_Groups_Oplus__class_Oplus(X3656,X3655,X3655)!=c_Groups_Ozero__class_Ozero(X3656)|X3655=c_Groups_Ozero__class_Ozero(X3656)|~class_Groups_Olinordered__ab__group__add(X3656))&(X3655!=c_Groups_Ozero__class_Ozero(X3656)|c_Groups_Oplus__class_Oplus(X3656,X3655,X3655)=c_Groups_Ozero__class_Ozero(X3656)|~class_Groups_Olinordered__ab__group__add(X3656))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__eq__0__iff])])])).
% 247.18/174.25  fof(i_0_2118, plain, ![X3239, X3240]:((c_Groups_Ozero__class_Ozero(X3240)!=c_Groups_Oplus__class_Oplus(X3240,X3239,X3239)|X3239=c_Groups_Ozero__class_Ozero(X3240)|~class_Groups_Olinordered__ab__group__add(X3240))&(X3239!=c_Groups_Ozero__class_Ozero(X3240)|c_Groups_Ozero__class_Ozero(X3240)=c_Groups_Oplus__class_Oplus(X3240,X3239,X3239)|~class_Groups_Olinordered__ab__group__add(X3240))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_double__zero__sym])])])).
% 247.18/174.25  fof(i_0_2119, plain, ![X4127, X4128, X4129]:((c_Groups_Ominus__class_Ominus(X4129,X4128,X4127)!=c_Groups_Ozero__class_Ozero(X4129)|X4128=X4127|~class_Groups_Ogroup__add(X4129))&(X4128!=X4127|c_Groups_Ominus__class_Ominus(X4129,X4128,X4127)=c_Groups_Ozero__class_Ozero(X4129)|~class_Groups_Ogroup__add(X4129))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__minus__eq])])])).
% 247.18/174.25  fof(i_0_2120, plain, ![X4130, X4131, X4132]:((X4131!=X4130|c_Groups_Ominus__class_Ominus(X4132,X4131,X4130)=c_Groups_Ozero__class_Ozero(X4132)|~class_Groups_Oab__group__add(X4132))&(c_Groups_Ominus__class_Ominus(X4132,X4131,X4130)!=c_Groups_Ozero__class_Ozero(X4132)|X4131=X4130|~class_Groups_Oab__group__add(X4132))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_eq__iff__diff__eq__0])])])).
% 247.18/174.25  fof(i_0_2121, plain, ![X3508, X3509, X3510]:(~class_Rings_Oring__1__no__zero__divisors(X3510)|(X3509=c_Groups_Ozero__class_Ozero(X3510)|hAPP(hAPP(c_Power_Opower__class_Opower(X3510),X3509),X3508)!=c_Groups_Ozero__class_Ozero(X3510))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_field__power__not__zero])])).
% 247.18/174.25  fof(i_0_2122, plain, ![X3468, X3469, X3470]:((X3469!=c_Groups_Oplus__class_Oplus(X3470,X3469,X3468)|X3468=c_Groups_Ozero__class_Ozero(X3470)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3470))&(X3468!=c_Groups_Ozero__class_Ozero(X3470)|X3469=c_Groups_Oplus__class_Oplus(X3470,X3469,X3468)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3470))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__iff])])])).
% 247.18/174.25  fof(i_0_2123, plain, ![X3092, X3093]:((c_Polynomial_Opoly(X3093,X3092)!=c_Polynomial_Opoly(X3093,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3093)))|X3092=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3093))|(~class_Int_Oring__char__0(X3093)|~class_Rings_Oidom(X3093)))&(X3092!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3093))|c_Polynomial_Opoly(X3093,X3092)=c_Polynomial_Opoly(X3093,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3093)))|(~class_Int_Oring__char__0(X3093)|~class_Rings_Oidom(X3093)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__zero])])])).
% 247.18/174.25  fof(i_0_2124, plain, ![X3292]:(~class_Groups_Ozero(X3292)|c_Polynomial_OpCons(X3292,c_Groups_Ozero__class_Ozero(X3292),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3292)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3292))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pCons__0__0])])).
% 247.18/174.25  fof(i_0_2125, plain, ![X3744]:(~class_Rings_Ocomm__semiring__1(X3744)|c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X3744))=c_Polynomial_OpCons(X3744,c_Groups_Oone__class_Oone(X3744),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3744)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__poly__def])])).
% 247.18/174.25  fof(i_0_2126, plain, ![X4693, X4694]:(~class_Rings_Odivision__ring(X4694)|(X4693=c_Groups_Ozero__class_Ozero(X4694)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X4694),X4693),c_Rings_Oinverse__class_Oinverse(X4694,X4693))=c_Groups_Oone__class_Oone(X4694))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__inverse])])).
% 247.18/174.25  fof(i_0_2127, plain, ![X4372]:((X4372=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4372))&(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4372)|X4372!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neq0__conv])])).
% 247.18/174.25  fof(i_0_2128, plain, ![X3794, X3795]:((X3794!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Polynomial_Ocoeff(X3795,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X3795))),X3794)=c_Groups_Oone__class_Oone(X3795)|~class_Rings_Ocomm__semiring__1(X3795))&(X3794=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Polynomial_Ocoeff(X3795,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X3795))),X3794)=c_Groups_Ozero__class_Ozero(X3795)|~class_Rings_Ocomm__semiring__1(X3795))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__1])])])).
% 247.18/174.25  fof(i_0_2129, plain, ![X4497, X4498]:(~class_Rings_Odivision__ring(X4498)|(X4497=c_Groups_Ozero__class_Ozero(X4498)|c_Rings_Oinverse__class_Oinverse(X4498,c_Groups_Ouminus__class_Ouminus(X4498,X4497))=c_Groups_Ouminus__class_Ouminus(X4498,c_Rings_Oinverse__class_Oinverse(X4498,X4497)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__inverse__minus__eq])])).
% 247.18/174.25  fof(i_0_2130, plain, ![X3671]:((~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3671,c_Groups_Oone__class_Oone(tc_Nat_Onat))|X3671=c_Groups_Oone__class_Oone(tc_Nat_Onat))&(X3671!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3671,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__dvd__1__iff__1])])).
% 247.18/174.25  cnf(i_0_2131, plain, (c_Nat_OSuc(X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1278])).
% 247.18/174.25  cnf(i_0_2132, plain, (c_Nat_OSuc(X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1279])).
% 247.18/174.25  cnf(i_0_2133, plain, (c_Nat_OSuc(X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1280])).
% 247.18/174.25  cnf(i_0_2134, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(X1)), inference(split_conjunct,[status(thm)],[i_0_1281])).
% 247.18/174.25  cnf(i_0_2135, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(X1)), inference(split_conjunct,[status(thm)],[i_0_1282])).
% 247.18/174.25  cnf(i_0_2136, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Nat_OSuc(X1)), inference(split_conjunct,[status(thm)],[i_0_1283])).
% 247.18/174.25  fof(i_0_2137, plain, ![X3887, X3888]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3888),X3887)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3887),X3888), inference(variable_rename,[status(thm)],[fact_zmult__commute])).
% 247.18/174.25  fof(i_0_2138, plain, ![X3587, X3588]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3588),X3587)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3587),X3588), inference(variable_rename,[status(thm)],[fact_nat__mult__commute])).
% 247.18/174.25  fof(i_0_2139, plain, ![X4002, X4003]:(~class_Groups_Ogroup__add(X4003)|c_Groups_Oplus__class_Oplus(X4003,c_Groups_Ouminus__class_Ouminus(X4003,X4002),X4002)=c_Groups_Ozero__class_Ozero(X4003)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_left__minus])])).
% 247.18/174.25  fof(i_0_2140, plain, ![X4000, X4001]:(~class_Groups_Oab__group__add(X4001)|c_Groups_Oplus__class_Oplus(X4001,c_Groups_Ouminus__class_Ouminus(X4001,X4000),X4000)=c_Groups_Ozero__class_Ozero(X4001)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_ab__left__minus])])).
% 247.18/174.25  fof(i_0_2141, plain, ![X4007, X4008]:(~class_Groups_Ogroup__add(X4008)|c_Groups_Oplus__class_Oplus(X4008,X4007,c_Groups_Ouminus__class_Ouminus(X4008,X4007))=c_Groups_Ozero__class_Ozero(X4008)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_right__minus])])).
% 247.18/174.25  fof(i_0_2142, plain, ![X3571, X3572]:(((X3572=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3572,X3571)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(X3571=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3572,X3571)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&(X3572!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X3571!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3572,X3571)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__is__0])])])).
% 247.18/174.25  fof(i_0_2143, plain, ![X4217, X4218]:(~class_Fields_Ofield(X4218)|c_Polynomial_Opoly__gcd(X4218,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X4218)),X4217)=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X4218))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd__1__left])])).
% 247.18/174.25  fof(i_0_2144, plain, ![X3592, X3593]:(~class_Rings_Ocomm__semiring__0(X3593)|c_Polynomial_Osynthetic__div(X3593,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3593)),X3592)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3593))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_synthetic__div__0])])).
% 247.18/174.25  fof(i_0_2145, plain, ![X3117, X3118]:(~class_Rings_Ocomm__semiring__0(X3118)|c_Polynomial_Opcompose(X3118,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3118)),X3117)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3118))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pcompose__0])])).
% 247.18/174.25  fof(i_0_2146, plain, ![X3046, X3047]:(~class_Rings_Ocomm__semiring__0(X3047)|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3047,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3047)),X3046)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3047))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_offset__poly__0])])).
% 247.18/174.25  fof(i_0_2147, plain, ![X4215, X4216]:(~class_Fields_Ofield(X4216)|c_Polynomial_Opoly__gcd(X4216,X4215,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X4216)))=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X4216))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__gcd__1__right])])).
% 247.18/174.25  fof(i_0_2148, plain, ![X3090, X3091]:(~class_Rings_Ocomm__semiring__0(X3091)|c_Polynomial_Osmult(X3091,X3090,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3091)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3091))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__0__right])])).
% 247.18/174.25  fof(i_0_2149, plain, ![X4374, X4375]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4375,X4374)|X4374!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_gr__implies__not0])])).
% 247.18/174.25  cnf(i_0_2150, plain, (c_Nat_OSuc(X1)!=X1), inference(split_conjunct,[status(thm)],[i_0_1284])).
% 247.18/174.25  cnf(i_0_2151, plain, (X1!=c_Nat_OSuc(X1)), inference(split_conjunct,[status(thm)],[i_0_1285])).
% 247.18/174.25  fof(i_0_2152, plain, ![X3842, X3843]:((X3842!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(X3843),c_Groups_Ozero__class_Ozero(X3843)),X3842)=c_Groups_Oone__class_Oone(X3843)|(~class_Power_Opower(X3843)|~class_Rings_Osemiring__0(X3843)))&(X3842=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(X3843),c_Groups_Ozero__class_Ozero(X3843)),X3842)=c_Groups_Ozero__class_Ozero(X3843)|(~class_Power_Opower(X3843)|~class_Rings_Osemiring__0(X3843)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0__left])])])).
% 247.18/174.25  fof(i_0_2153, plain, ![X3569, X3570]:(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3570,X3569)!=X3570|X3569=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__eq__self__zero])])).
% 247.18/174.25  fof(i_0_2154, plain, ![X4373]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4373,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[i_0_1286])).
% 247.18/174.25  fof(i_0_2155, plain, ![X4371]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4371,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[i_0_1287])).
% 247.18/174.25  fof(i_0_2156, plain, ![X4323]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4323,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[i_0_1288])).
% 247.18/174.25  fof(i_0_2157, plain, ![X3064, X3065]:(~class_Groups_Ozero(X3065)|hAPP(c_Polynomial_Ocoeff(X3065,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3065))),X3064)=c_Groups_Ozero__class_Ozero(X3065)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__0])])).
% 247.18/174.25  fof(i_0_2158, plain, ![X3738, X3739]:(~class_Rings_Ocomm__semiring__1(X3739)|hAPP(c_Polynomial_Opoly(X3739,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X3739))),X3738)=c_Groups_Oone__class_Oone(X3739)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__1])])).
% 247.18/174.25  fof(i_0_2159, plain, ![X3062, X3063]:(~class_Rings_Ocomm__semiring__0(X3063)|hAPP(c_Polynomial_Opoly(X3063,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3063))),X3062)=c_Groups_Ozero__class_Ozero(X3063)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__0])])).
% 247.18/174.25  fof(i_0_2160, plain, ![X4441, X4442]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4442,X4441)|X4442!=X4441), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__not__refl3])])).
% 247.18/174.25  fof(i_0_2161, plain, ![X4439, X4440]:(~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4440,X4439)|X4439!=X4440), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_less__not__refl2])])).
% 247.18/174.25  fof(i_0_2162, plain, ![X5136, X5137]:(~class_Rings_Odivision__ring(X5137)|(X5136=c_Groups_Ozero__class_Ozero(X5137)|c_Rings_Oinverse__class_Oinverse(X5137,X5136)=c_Rings_Oinverse__class_Odivide(X5137,c_Groups_Oone__class_Oone(X5137),X5136))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__inverse__eq__divide])])).
% 247.18/174.25  fof(i_0_2163, plain, ![X5531, X5532]:(~class_RealVector_Oreal__normed__vector(X5532)|c_Groups_Osgn__class_Osgn(X5532,c_Groups_Ouminus__class_Ouminus(X5532,X5531))=c_Groups_Ouminus__class_Ouminus(X5532,c_Groups_Osgn__class_Osgn(X5532,X5531))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__minus])])).
% 247.18/174.25  fof(i_0_2164, plain, ![X4460, X4461]:(~class_Rings_Odivision__ring__inverse__zero(X4461)|c_Rings_Oinverse__class_Oinverse(X4461,c_Groups_Ouminus__class_Ouminus(X4461,X4460))=c_Groups_Ouminus__class_Ouminus(X4461,c_Rings_Oinverse__class_Oinverse(X4461,X4460))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__minus__eq])])).
% 247.18/174.25  fof(i_0_2165, plain, ![X3265, X3266]:(~class_Groups_Ocomm__monoid__add(X3266)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3266),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3266)),X3265)=X3265), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__poly__code_I1_J])])).
% 247.18/174.25  fof(i_0_2166, plain, ![X4303, X4304]:(~class_Groups_Oab__group__add(X4304)|c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X4304),X4303,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X4304)))=X4303), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__poly__code_I2_J])])).
% 247.18/174.25  fof(i_0_2167, plain, ![X3267, X3268]:(~class_Groups_Ocomm__monoid__add(X3268)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X3268),X3267,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3268)))=X3267), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__poly__code_I2_J])])).
% 247.18/174.25  fof(i_0_2168, plain, ![X5189, X5190]:(~class_Rings_Olinordered__idom(X5190)|(X5189=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5190))|c_Polynomial_Opos__poly(X5190,X5189)|c_Polynomial_Opos__poly(X5190,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X5190),X5189)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_pos__poly__total])])).
% 247.18/174.25  fof(i_0_2169, plain, ![X3596, X3597]:((hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3597),X3596)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|(X3597=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X3596=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))&((X3597!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3597),X3596)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))&(X3596!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3597),X3596)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__is__0])])])).
% 247.18/174.25  fof(i_0_2170, plain, ![X4438]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4438,X4438), inference(variable_rename,[status(thm)],[i_0_1289])).
% 247.18/174.25  fof(i_0_2171, plain, ![X4433]:~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X4433,X4433), inference(variable_rename,[status(thm)],[i_0_1290])).
% 247.18/174.25  fof(i_0_2172, plain, ![X3835, X3836]:(X3836!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3836),X3835)|(X3835=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X3836=c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__eq__self__implies__10])])).
% 247.18/174.25  fof(i_0_2173, plain, ![X4238, X4239]:(~class_Groups_Ogroup__add(X4239)|c_Groups_Ominus__class_Ominus(X4239,c_Groups_Ozero__class_Ozero(X4239),X4238)=c_Groups_Ouminus__class_Ouminus(X4239,X4238)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__0])])).
% 247.18/174.25  fof(i_0_2174, plain, ![X5048, X5049]:(~class_Rings_Odivision__ring(X5049)|c_Rings_Oinverse__class_Oinverse(X5049,X5048)=c_Rings_Oinverse__class_Odivide(X5049,c_Groups_Oone__class_Oone(X5049),X5048)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__eq__divide])])).
% 247.18/174.25  fof(i_0_2175, plain, ![X5046, X5047]:(~class_Fields_Ofield(X5047)|c_Rings_Oinverse__class_Oinverse(X5047,X5046)=c_Rings_Oinverse__class_Odivide(X5047,c_Groups_Oone__class_Oone(X5047),X5046)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_field__class_Onormalizing__field__rules_I2_J])])).
% 247.18/174.25  fof(i_0_2176, plain, ![X3786, X3787]:(((X3787=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3787),X3786)!=c_Groups_Oone__class_Oone(tc_Nat_Onat))&(X3786=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3787),X3786)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)))&(X3787!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X3786!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3787),X3786)=c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__mult__eq__1__iff])])])).
% 247.18/174.25  fof(i_0_2177, plain, ![X3789, X3790]:(((X3790=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3790),X3789))&(X3789=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3790),X3789)))&(X3790!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X3789!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3790),X3789))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nat__1__eq__mult__iff])])])).
% 247.18/174.25  fof(i_0_2178, plain, ![X4069]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4069),X4069)=c_Groups_Ozero__class_Ozero(tc_Int_Oint), inference(variable_rename,[status(thm)],[fact_zadd__zminus__inverse2])).
% 247.18/174.25  fof(i_0_2179, plain, ![X3066, X3067]:(~class_Rings_Ocomm__semiring__0(X3067)|c_Polynomial_Osmult(X3067,c_Groups_Ozero__class_Ozero(X3067),X3066)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3067))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__0__left])])).
% 247.18/174.25  fof(i_0_2180, plain, ![X3057, X3058]:(~class_Groups_Ozero(X3058)|c_Polynomial_Omonom(X3058,c_Groups_Ozero__class_Ozero(X3058),X3057)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3058))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_monom__eq__0])])).
% 247.18/174.25  fof(i_0_2181, plain, ![X3865]:(~class_Power_Opower(X3865)|c_Power_Opower__class_Opower(X3865)=c_Power_Opower_Opower(X3865,c_Groups_Oone__class_Oone(X3865),c_Groups_Otimes__class_Otimes(X3865))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__power__power])])).
% 247.18/174.25  fof(i_0_2182, plain, ![X3635, X3636]:(~class_RealVector_Oreal__normed__algebra(X3636)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3636),c_Groups_Ozero__class_Ozero(X3636)),X3635)=c_Groups_Ozero__class_Ozero(X3636)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__left_Ozero])])).
% 247.18/174.25  fof(i_0_2183, plain, ![X3633, X3634]:(~class_RealVector_Oreal__normed__algebra(X3634)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3634),c_Groups_Ozero__class_Ozero(X3634)),X3633)=c_Groups_Ozero__class_Ozero(X3634)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ozero__left])])).
% 247.18/174.25  fof(i_0_2184, plain, ![X3466, X3467]:(~class_Rings_Omult__zero(X3467)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3467),c_Groups_Ozero__class_Ozero(X3467)),X3466)=c_Groups_Ozero__class_Ozero(X3467)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__zero__left])])).
% 247.18/174.25  fof(i_0_2185, plain, ![X3464, X3465]:(~class_Rings_Ocomm__semiring__1(X3465)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3465),c_Groups_Ozero__class_Ozero(X3465)),X3464)=c_Groups_Ozero__class_Ozero(X3465)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I9_J])])).
% 247.18/174.25  fof(i_0_2186, plain, ![X3777, X3778]:(~class_Groups_Omonoid__mult(X3778)|hAPP(hAPP(c_Power_Opower__class_Opower(X3778),c_Groups_Oone__class_Oone(X3778)),X3777)=c_Groups_Oone__class_Oone(X3778)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one])])).
% 247.18/174.25  fof(i_0_2187, plain, ![X4973, X4974]:((X4973!=c_Groups_Ozero__class_Ozero(X4974)|c_Rings_Oinverse__class_Odivide(X4974,X4973,X4973)=c_Groups_Ozero__class_Ozero(X4974)|~class_Rings_Odivision__ring__inverse__zero(X4974))&(X4973=c_Groups_Ozero__class_Ozero(X4974)|c_Rings_Oinverse__class_Odivide(X4974,X4973,X4973)=c_Groups_Oone__class_Oone(X4974)|~class_Rings_Odivision__ring__inverse__zero(X4974))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__self__if])])])).
% 247.18/174.25  fof(i_0_2188, plain, ![X5750]:(~class_Rings_Olinordered__semidom(X5750)|c_Orderings_Oord__class_Oless__eq(X5750,c_Groups_Ozero__class_Ozero(X5750),c_Groups_Oone__class_Oone(X5750))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__le__one])])).
% 247.18/174.25  fof(i_0_2189, plain, ![X4583]:(~class_Rings_Olinordered__semidom(X4583)|c_Orderings_Oord__class_Oless(X4583,c_Groups_Ozero__class_Ozero(X4583),c_Groups_Oone__class_Oone(X4583))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__less__one])])).
% 247.18/174.25  fof(i_0_2190, plain, ![X3992, X3993]:(~class_Groups_Oab__group__add(X3993)|c_Polynomial_Odegree(X3993,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X3993),X3992))=c_Polynomial_Odegree(X3993,X3992)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__minus])])).
% 247.18/174.25  fof(i_0_2191, plain, ![X3753, X3754]:(~class_Groups_Ocomm__monoid__mult(X3754)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3754),c_Groups_Oone__class_Oone(X3754)),X3753)=X3753), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__1])])).
% 247.18/174.25  fof(i_0_2192, plain, ![X3751, X3752]:(~class_Groups_Omonoid__mult(X3752)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3752),c_Groups_Oone__class_Oone(X3752)),X3751)=X3751), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__1__left])])).
% 247.18/174.25  fof(i_0_2193, plain, ![X3749, X3750]:(~class_Rings_Ocomm__semiring__1(X3750)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3750),c_Groups_Oone__class_Oone(X3750)),X3749)=X3749), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I11_J])])).
% 247.18/174.25  fof(i_0_2194, plain, ![X5487, X5488]:(~class_Divides_Osemiring__div(X5488)|c_Divides_Odiv__class_Odiv(X5488,c_Groups_Ozero__class_Ozero(X5488),X5487)=c_Groups_Ozero__class_Ozero(X5488)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__0])])).
% 247.18/174.25  fof(i_0_2195, plain, ![X5300, X5301]:(~class_Divides_Osemiring__div(X5301)|c_Divides_Odiv__class_Omod(X5301,c_Groups_Ozero__class_Ozero(X5301),X5300)=c_Groups_Ozero__class_Ozero(X5301)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__0])])).
% 247.18/174.25  fof(i_0_2196, plain, ![X5000, X5001]:(~class_RealVector_Oreal__normed__field(X5001)|c_Rings_Oinverse__class_Odivide(X5001,c_Groups_Ozero__class_Ozero(X5001),X5000)=c_Groups_Ozero__class_Ozero(X5001)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide_Ozero])])).
% 247.18/174.25  fof(i_0_2197, plain, ![X4998, X4999]:(~class_Rings_Odivision__ring(X4999)|c_Rings_Oinverse__class_Odivide(X4999,c_Groups_Ozero__class_Ozero(X4999),X4998)=c_Groups_Ozero__class_Ozero(X4999)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__zero__left])])).
% 247.18/174.25  fof(i_0_2198, plain, ![X5489, X5490]:(~class_Divides_Osemiring__div(X5490)|c_Divides_Odiv__class_Odiv(X5490,X5489,c_Groups_Ozero__class_Ozero(X5490))=c_Groups_Ozero__class_Ozero(X5490)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__by__0])])).
% 247.18/174.25  fof(i_0_2199, plain, ![X5415, X5416]:(~class_Divides_Osemiring__div(X5416)|c_Divides_Odiv__class_Omod(X5416,X5415,c_Groups_Oone__class_Oone(X5416))=c_Groups_Ozero__class_Ozero(X5416)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__by__1])])).
% 247.18/174.25  fof(i_0_2200, plain, ![X4996, X4997]:(~class_Rings_Odivision__ring__inverse__zero(X4997)|c_Rings_Oinverse__class_Odivide(X4997,X4996,c_Groups_Ozero__class_Ozero(X4997))=c_Groups_Ozero__class_Ozero(X4997)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__zero])])).
% 247.18/174.25  fof(i_0_2201, plain, ![X5479, X5480]:(~class_Divides_Osemiring__div(X5480)|(X5479=c_Groups_Ozero__class_Ozero(X5480)|c_Divides_Odiv__class_Odiv(X5480,X5479,X5479)=c_Groups_Oone__class_Oone(X5480))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__self])])).
% 247.18/174.25  fof(i_0_2202, plain, ![X4971, X4972]:(~class_Rings_Odivision__ring(X4972)|(X4971=c_Groups_Ozero__class_Ozero(X4972)|c_Rings_Oinverse__class_Odivide(X4972,X4971,X4971)=c_Groups_Oone__class_Oone(X4972))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__self])])).
% 247.18/174.25  fof(i_0_2203, plain, ![X3639, X3640]:(~class_RealVector_Oreal__normed__algebra(X3640)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3640),X3639),c_Groups_Ozero__class_Ozero(X3640))=c_Groups_Ozero__class_Ozero(X3640)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__right_Ozero])])).
% 247.18/174.25  fof(i_0_2204, plain, ![X3637, X3638]:(~class_RealVector_Oreal__normed__algebra(X3638)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3638),X3637),c_Groups_Ozero__class_Ozero(X3638))=c_Groups_Ozero__class_Ozero(X3638)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ozero__right])])).
% 247.18/174.25  fof(i_0_2205, plain, ![X3462, X3463]:(~class_Rings_Omult__zero(X3463)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3463),X3462),c_Groups_Ozero__class_Ozero(X3463))=c_Groups_Ozero__class_Ozero(X3463)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__zero__right])])).
% 247.18/174.25  fof(i_0_2206, plain, ![X3460, X3461]:(~class_Rings_Ocomm__semiring__1(X3461)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3461),X3460),c_Groups_Ozero__class_Ozero(X3461))=c_Groups_Ozero__class_Ozero(X3461)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I10_J])])).
% 247.18/174.25  fof(i_0_2207, plain, ![X3235, X3236]:(~class_Groups_Omonoid__add(X3236)|c_Groups_Oplus__class_Oplus(X3236,c_Groups_Ozero__class_Ozero(X3236),X3235)=X3235), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__left])])).
% 247.18/174.25  fof(i_0_2208, plain, ![X3473, X3474]:(~class_Rings_Ocomm__semiring__1(X3474)|c_Groups_Oplus__class_Oplus(X3474,c_Groups_Ozero__class_Ozero(X3474),X3473)=X3473), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I5_J])])).
% 247.18/174.25  fof(i_0_2209, plain, ![X3237, X3238]:(~class_Groups_Ocomm__monoid__add(X3238)|c_Groups_Oplus__class_Oplus(X3238,c_Groups_Ozero__class_Ozero(X3238),X3237)=X3237), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0])])).
% 247.18/174.25  fof(i_0_2210, plain, ![X3792, X3793]:(~class_Rings_Ocomm__semiring__1(X3793)|c_Polynomial_Osmult(X3793,c_Groups_Oone__class_Oone(X3793),X3792)=X3792), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_smult__1__left])])).
% 247.18/174.25  fof(i_0_2211, plain, ![X5481, X5482]:(~class_Divides_Osemiring__div(X5482)|c_Divides_Odiv__class_Odiv(X5482,X5481,c_Groups_Oone__class_Oone(X5482))=X5481), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_div__by__1])])).
% 247.18/174.25  fof(i_0_2212, plain, ![X5302, X5303]:(~class_Divides_Osemiring__div(X5303)|c_Divides_Odiv__class_Omod(X5303,X5302,c_Groups_Ozero__class_Ozero(X5303))=X5302), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__by__0])])).
% 247.18/174.25  fof(i_0_2213, plain, ![X5014, X5015]:(~class_Rings_Odivision__ring(X5015)|c_Rings_Oinverse__class_Odivide(X5015,X5014,c_Groups_Oone__class_Oone(X5015))=X5014), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_divide__1])])).
% 247.18/174.25  fof(i_0_2214, plain, ![X4135, X4136]:(~class_Groups_Ogroup__add(X4136)|c_Groups_Ominus__class_Ominus(X4136,X4135,c_Groups_Ozero__class_Ozero(X4136))=X4135), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__0__right])])).
% 247.18/174.25  fof(i_0_2215, plain, ![X3241, X3242]:(~class_Groups_Omonoid__add(X3242)|c_Groups_Oplus__class_Oplus(X3242,X3241,c_Groups_Ozero__class_Ozero(X3242))=X3241), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add__0__right])])).
% 247.18/174.25  fof(i_0_2216, plain, ![X3471, X3472]:(~class_Rings_Ocomm__semiring__1(X3472)|c_Groups_Oplus__class_Oplus(X3472,X3471,c_Groups_Ozero__class_Ozero(X3472))=X3471), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I6_J])])).
% 247.18/174.25  fof(i_0_2217, plain, ![X3243, X3244]:(~class_Groups_Ocomm__monoid__add(X3244)|c_Groups_Oplus__class_Oplus(X3244,X3243,c_Groups_Ozero__class_Ozero(X3244))=X3243), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_add_Ocomm__neutral])])).
% 247.18/174.25  fof(i_0_2218, plain, ![X3775, X3776]:(~class_Rings_Ocomm__semiring__1(X3776)|c_Rings_Odvd__class_Odvd(X3776,c_Groups_Oone__class_Oone(X3776),X3775)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__dvd])])).
% 247.18/174.25  fof(i_0_2219, plain, ![X3338, X3339]:(~class_Rings_Ocomm__semiring__1(X3339)|c_Rings_Odvd__class_Odvd(X3339,X3338,c_Groups_Ozero__class_Ozero(X3339))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__0__right])])).
% 247.18/174.25  fof(i_0_2220, plain, ![X3829, X3830]:(~class_Power_Opower(X3830)|hAPP(hAPP(c_Power_Opower__class_Opower(X3830),X3829),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(X3830)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__0])])).
% 247.18/174.25  fof(i_0_2221, plain, ![X3827, X3828]:(~class_Rings_Ocomm__semiring__1(X3828)|hAPP(hAPP(c_Power_Opower__class_Opower(X3828),X3827),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(X3828)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I32_J])])).
% 247.18/174.25  fof(i_0_2222, plain, ![X3757, X3758]:(~class_Groups_Ocomm__monoid__mult(X3758)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3758),X3757),c_Groups_Oone__class_Oone(X3758))=X3757), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult_Ocomm__neutral])])).
% 247.18/174.25  fof(i_0_2223, plain, ![X3755, X3756]:(~class_Groups_Omonoid__mult(X3756)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3756),X3755),c_Groups_Oone__class_Oone(X3756))=X3755), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mult__1__right])])).
% 247.18/174.25  fof(i_0_2224, plain, ![X3747, X3748]:(~class_Rings_Ocomm__semiring__1(X3748)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3748),X3747),c_Groups_Oone__class_Oone(X3748))=X3747), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I12_J])])).
% 247.18/174.25  fof(i_0_2225, plain, ![X5304, X5305]:(~class_Divides_Osemiring__div(X5305)|c_Divides_Odiv__class_Omod(X5305,X5304,X5304)=c_Groups_Ozero__class_Ozero(X5305)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_mod__self])])).
% 247.18/174.25  fof(i_0_2226, plain, ![X4133, X4134]:(~class_Groups_Ogroup__add(X4134)|c_Groups_Ominus__class_Ominus(X4134,X4133,X4133)=c_Groups_Ozero__class_Ozero(X4134)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_diff__self])])).
% 247.18/174.25  fof(i_0_2227, plain, ![X4472, X4473, X4474]:(~class_Rings_Odivision__ring(X4474)|(c_Rings_Oinverse__class_Oinverse(X4474,X4473)!=c_Rings_Oinverse__class_Oinverse(X4474,X4472)|(X4473=c_Groups_Ozero__class_Ozero(X4474)|(X4472=c_Groups_Ozero__class_Ozero(X4474)|X4473=X4472)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__inverse__eq__imp__eq])])).
% 247.18/174.25  fof(i_0_2228, plain, ![X3784, X3785]:(~class_Groups_Omonoid__mult(X3785)|hAPP(hAPP(c_Power_Opower__class_Opower(X3785),X3784),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X3784), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_power__one__right])])).
% 247.18/174.25  fof(i_0_2229, plain, ![X3782, X3783]:(~class_Rings_Ocomm__semiring__1(X3783)|hAPP(hAPP(c_Power_Opower__class_Opower(X3783),X3782),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X3782), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_comm__semiring__1__class_Onormalizing__semiring__rules_I33_J])])).
% 247.18/174.25  fof(i_0_2230, plain, ![X3441, X3442]:(~class_Rings_Ocomm__semiring__1(X3442)|c_Rings_Odvd__class_Odvd(X3442,X3441,X3441)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd__refl])])).
% 247.18/174.25  cnf(i_0_2231, plain, (c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Nat_OSuc(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[fact_One__nat__def])).
% 247.18/174.25  fof(i_0_2232, plain, ![X5533, X5534]:(~class_Rings_Olinordered__idom(X5534)|c_Groups_Osgn__class_Osgn(X5534,c_Groups_Osgn__class_Osgn(X5534,X5533))=c_Groups_Osgn__class_Osgn(X5534,X5533)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__sgn])])).
% 247.18/174.25  fof(i_0_2233, plain, ![X3082, X3083, X3084]:((c_Polynomial_Opoly(X3084,X3083)!=c_Polynomial_Opoly(X3084,X3082)|X3083=X3082|(~class_Int_Oring__char__0(X3084)|~class_Rings_Oidom(X3084)))&(X3083!=X3082|c_Polynomial_Opoly(X3084,X3083)=c_Polynomial_Opoly(X3084,X3082)|(~class_Int_Oring__char__0(X3084)|~class_Rings_Oidom(X3084)))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_poly__eq__iff])])])).
% 247.18/174.25  fof(i_0_2234, plain, ![X4376]:(X4376=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4376)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_gr0I])])).
% 247.18/174.25  fof(i_0_2235, plain, ![X5496]:(X5496=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5496,X5496)=c_Groups_Oone__class_Oone(tc_Int_Oint)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zdiv__self])])).
% 247.18/174.25  fof(i_0_2236, plain, ![X5173]:(~class_Rings_Olinordered__idom(X5173)|~c_Polynomial_Opos__poly(X5173,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X5173)))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[i_0_1291])])).
% 247.18/174.25  fof(i_0_2237, plain, ![X5491]:c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5491)=c_Groups_Ozero__class_Ozero(tc_Int_Oint), inference(variable_rename,[status(thm)],[fact_zdiv__zero])).
% 247.18/174.25  fof(i_0_2238, plain, ![X5252]:c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X5252)=c_Groups_Ozero__class_Ozero(tc_Int_Oint), inference(variable_rename,[status(thm)],[fact_zmod__zero])).
% 247.18/174.25  fof(i_0_2239, plain, ![X4170]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X4170)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), inference(variable_rename,[status(thm)],[fact_diff__0__eq__0])).
% 247.18/174.25  fof(i_0_2240, plain, ![X5437]:(c_Divides_Odiv__class_Odiv(tc_Int_Oint,X5437,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)&c_Divides_Odiv__class_Omod(tc_Int_Oint,X5437,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X5437), inference(variable_rename,[status(thm)],[fact_DIVISION__BY__ZERO])).
% 247.18/174.25  fof(i_0_2241, plain, ![X4117]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4117)=X4117, inference(variable_rename,[status(thm)],[fact_zadd__0])).
% 247.18/174.25  fof(i_0_2242, plain, ![X3574]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3574)=X3574, inference(variable_rename,[status(thm)],[fact_plus__nat_Oadd__0])).
% 247.18/174.25  fof(i_0_2243, plain, ![X4169]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4169,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X4169, inference(variable_rename,[status(thm)],[fact_minus__nat_Odiff__0])).
% 247.18/174.25  fof(i_0_2244, plain, ![X4118]:c_Groups_Oplus__class_Oplus(tc_Int_Oint,X4118,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X4118, inference(variable_rename,[status(thm)],[fact_zadd__0__right])).
% 247.18/174.25  fof(i_0_2245, plain, ![X3573]:c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3573,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X3573, inference(variable_rename,[status(thm)],[fact_Nat_Oadd__0__right])).
% 247.18/174.25  fof(i_0_2246, plain, ![X3680, X3681]:(X3681!=X3680|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3681,X3680)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_dvd_Oeq__refl])])).
% 247.18/174.25  fof(i_0_2247, plain, ![X4031]:c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X4031), inference(variable_rename,[status(thm)],[fact_gcd__lcm__complete__lattice__nat_Obot__least])).
% 247.18/174.25  fof(i_0_2248, plain, ![X3875]:c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3875,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[fact_gcd__lcm__complete__lattice__nat_Otop__greatest])).
% 247.18/174.25  fof(i_0_2249, plain, ![X3991]:(~class_Groups_Oab__group__add(X3991)|c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X3991),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3991)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3991))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__poly__code_I1_J])])).
% 247.18/174.25  fof(i_0_2250, plain, ![X5251]:c_Divides_Odiv__class_Omod(tc_Int_Oint,X5251,X5251)=c_Groups_Ozero__class_Ozero(tc_Int_Oint), inference(variable_rename,[status(thm)],[fact_zmod__self])).
% 247.18/174.25  fof(i_0_2251, plain, ![X4168]:c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X4168,X4168)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), inference(variable_rename,[status(thm)],[fact_diff__self__eq__0])).
% 247.18/174.25  fof(i_0_2252, plain, ![X3594]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X3594)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), inference(variable_rename,[status(thm)],[fact_mult__0])).
% 247.18/174.25  fof(i_0_2253, plain, ![X4454, X4455, X4456]:(~class_Rings_Odivision__ring__inverse__zero(X4456)|(c_Rings_Oinverse__class_Oinverse(X4456,X4455)!=c_Rings_Oinverse__class_Oinverse(X4456,X4454)|X4455=X4454)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__eq__imp__eq])])).
% 247.18/174.25  fof(i_0_2254, plain, ![X4448, X4449, X4450]:((c_Rings_Oinverse__class_Oinverse(X4450,X4449)!=c_Rings_Oinverse__class_Oinverse(X4450,X4448)|X4449=X4448|~class_Rings_Odivision__ring__inverse__zero(X4450))&(X4449!=X4448|c_Rings_Oinverse__class_Oinverse(X4450,X4449)=c_Rings_Oinverse__class_Oinverse(X4450,X4448)|~class_Rings_Odivision__ring__inverse__zero(X4450))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__eq__iff__eq])])])).
% 247.18/174.25  fof(i_0_2255, plain, ![X3923, X3924, X3925]:((c_Groups_Ouminus__class_Ouminus(X3925,X3924)!=c_Groups_Ouminus__class_Ouminus(X3925,X3923)|X3924=X3923|~class_Groups_Ogroup__add(X3925))&(X3924!=X3923|c_Groups_Ouminus__class_Ouminus(X3925,X3924)=c_Groups_Ouminus__class_Ouminus(X3925,X3923)|~class_Groups_Ogroup__add(X3925))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__equal__iff__equal])])])).
% 247.18/174.25  fof(i_0_2256, plain, ![X3079, X3080, X3081]:((c_Polynomial_Ocoeff(X3081,X3080)!=c_Polynomial_Ocoeff(X3081,X3079)|X3080=X3079|~class_Groups_Ozero(X3081))&(X3080!=X3079|c_Polynomial_Ocoeff(X3081,X3080)=c_Polynomial_Ocoeff(X3081,X3079)|~class_Groups_Ozero(X3081))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_coeff__inject])])])).
% 247.18/174.25  fof(i_0_2257, plain, ![X4468, X4469]:(~class_Rings_Odivision__ring(X4469)|(X4468=c_Groups_Ozero__class_Ozero(X4469)|c_Rings_Oinverse__class_Oinverse(X4469,c_Rings_Oinverse__class_Oinverse(X4469,X4468))=X4468)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__inverse__inverse__eq])])).
% 247.18/174.25  fof(i_0_2258, plain, ![X3885]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X3885)=X3885, inference(variable_rename,[status(thm)],[fact_zmult__1])).
% 247.18/174.25  fof(i_0_2259, plain, ![X3791]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3791)=X3791, inference(variable_rename,[status(thm)],[fact_nat__mult__1])).
% 247.18/174.25  fof(i_0_2260, plain, ![X5806]:c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X5806,X5806), inference(variable_rename,[status(thm)],[fact_zle__refl])).
% 247.18/174.25  fof(i_0_2261, plain, ![X3669]:c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3669,X3669), inference(variable_rename,[status(thm)],[fact_dvd_Oorder__refl])).
% 247.18/174.25  fof(i_0_2262, plain, ![X3595]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3595),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat), inference(variable_rename,[status(thm)],[fact_mult__0__right])).
% 247.18/174.25  fof(i_0_2263, plain, ![X3886]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3886),c_Groups_Oone__class_Oone(tc_Int_Oint))=X3886, inference(variable_rename,[status(thm)],[fact_zmult__1__right])).
% 247.18/174.25  fof(i_0_2264, plain, ![X3788]:hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3788),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X3788, inference(variable_rename,[status(thm)],[fact_nat__mult__1__right])).
% 247.18/174.25  fof(i_0_2265, plain, ![X6008, X6009]:(~hBOOL(c_fequal(X6009,X6008))|X6009=X6008), inference(variable_rename,[status(thm)],[i_0_1292])).
% 247.18/174.25  fof(i_0_2266, plain, ![X4446, X4447]:(~class_Rings_Odivision__ring__inverse__zero(X4447)|c_Rings_Oinverse__class_Oinverse(X4447,c_Rings_Oinverse__class_Oinverse(X4447,X4446))=X4446), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__inverse__eq])])).
% 247.18/174.25  fof(i_0_2267, plain, ![X3932, X3933]:(~class_Groups_Ogroup__add(X3933)|c_Groups_Ouminus__class_Ouminus(X3933,c_Groups_Ouminus__class_Ouminus(X3933,X3932))=X3932), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__minus])])).
% 247.18/174.25  fof(i_0_2268, plain, ![X3926, X3927, X3928]:((c_Groups_Ouminus__class_Ouminus(X3928,X3927)!=X3926|c_Groups_Ouminus__class_Ouminus(X3928,X3926)=X3927|~class_Groups_Ogroup__add(X3928))&(c_Groups_Ouminus__class_Ouminus(X3928,X3926)!=X3927|c_Groups_Ouminus__class_Ouminus(X3928,X3927)=X3926|~class_Groups_Ogroup__add(X3928))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__equation__iff])])])).
% 247.18/174.25  fof(i_0_2269, plain, ![X3929, X3930, X3931]:((X3930!=c_Groups_Ouminus__class_Ouminus(X3931,X3929)|X3929=c_Groups_Ouminus__class_Ouminus(X3931,X3930)|~class_Groups_Ogroup__add(X3931))&(X3929!=c_Groups_Ouminus__class_Ouminus(X3931,X3930)|X3930=c_Groups_Ouminus__class_Ouminus(X3931,X3929)|~class_Groups_Ogroup__add(X3931))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_equation__minus__iff])])])).
% 247.18/174.25  fof(i_0_2270, plain, ![X3119, X3120]:((c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3120,X3119)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X3119=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3120))|~class_Groups_Ozero(X3120))&(X3119!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3120))|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3120,X3119)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Groups_Ozero(X3120))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_psize__eq__0__iff])])])).
% 247.18/174.25  fof(i_0_2271, plain, ![X3837]:(~class_Rings_Ocomm__semiring__1(X3837)|c_Polynomial_Odegree(X3837,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X3837)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__1])])).
% 247.18/174.25  fof(i_0_2272, plain, ![X3245]:(~class_Groups_Ozero(X3245)|c_Polynomial_Odegree(X3245,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3245)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_degree__0])])).
% 247.18/174.25  fof(i_0_2273, plain, ![X3938, X3939]:((c_Groups_Ozero__class_Ozero(X3939)!=c_Groups_Ouminus__class_Ouminus(X3939,X3938)|c_Groups_Ozero__class_Ozero(X3939)=X3938|~class_Groups_Ogroup__add(X3939))&(c_Groups_Ozero__class_Ozero(X3939)!=X3938|c_Groups_Ozero__class_Ozero(X3939)=c_Groups_Ouminus__class_Ouminus(X3939,X3938)|~class_Groups_Ogroup__add(X3939))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__0__equal__iff__equal])])])).
% 247.18/174.25  fof(i_0_2274, plain, ![X4803, X4804]:((c_Rings_Oinverse__class_Oinverse(X4804,X4803)!=c_Groups_Oone__class_Oone(X4804)|X4803=c_Groups_Oone__class_Oone(X4804)|~class_Fields_Ofield__inverse__zero(X4804))&(X4803!=c_Groups_Oone__class_Oone(X4804)|c_Rings_Oinverse__class_Oinverse(X4804,X4803)=c_Groups_Oone__class_Oone(X4804)|~class_Fields_Ofield__inverse__zero(X4804))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__eq__1__iff])])])).
% 247.18/174.25  fof(i_0_2275, plain, ![X5542, X5543]:((c_Groups_Osgn__class_Osgn(X5543,X5542)!=c_Groups_Ozero__class_Ozero(X5543)|X5542=c_Groups_Ozero__class_Ozero(X5543)|~class_RealVector_Oreal__normed__vector(X5543))&(X5542!=c_Groups_Ozero__class_Ozero(X5543)|c_Groups_Osgn__class_Osgn(X5543,X5542)=c_Groups_Ozero__class_Ozero(X5543)|~class_RealVector_Oreal__normed__vector(X5543))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__zero__iff])])])).
% 247.18/174.25  fof(i_0_2276, plain, ![X5545, X5546]:((c_Groups_Osgn__class_Osgn(X5546,X5545)!=c_Groups_Ozero__class_Ozero(X5546)|X5545=c_Groups_Ozero__class_Ozero(X5546)|~class_Rings_Olinordered__idom(X5546))&(X5545!=c_Groups_Ozero__class_Ozero(X5546)|c_Groups_Osgn__class_Osgn(X5546,X5545)=c_Groups_Ozero__class_Ozero(X5546)|~class_Rings_Olinordered__idom(X5546))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__0__0])])])).
% 247.18/174.25  fof(i_0_2277, plain, ![X4470, X4471]:(~class_Rings_Odivision__ring(X4471)|(c_Rings_Oinverse__class_Oinverse(X4471,X4470)!=c_Groups_Ozero__class_Ozero(X4471)|X4470=c_Groups_Ozero__class_Ozero(X4471))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__zero__imp__zero])])).
% 247.18/174.25  fof(i_0_2278, plain, ![X4466, X4467]:(~class_Rings_Odivision__ring(X4467)|(X4466=c_Groups_Ozero__class_Ozero(X4467)|c_Rings_Oinverse__class_Oinverse(X4467,X4466)!=c_Groups_Ozero__class_Ozero(X4467))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_nonzero__imp__inverse__nonzero])])).
% 247.18/174.25  fof(i_0_2279, plain, ![X4464, X4465]:((c_Rings_Oinverse__class_Oinverse(X4465,X4464)!=c_Groups_Ozero__class_Ozero(X4465)|X4464=c_Groups_Ozero__class_Ozero(X4465)|~class_Rings_Odivision__ring__inverse__zero(X4465))&(X4464!=c_Groups_Ozero__class_Ozero(X4465)|c_Rings_Oinverse__class_Oinverse(X4465,X4464)=c_Groups_Ozero__class_Ozero(X4465)|~class_Rings_Odivision__ring__inverse__zero(X4465))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__nonzero__iff__nonzero])])])).
% 247.18/174.25  fof(i_0_2280, plain, ![X3942, X3943]:((c_Groups_Ouminus__class_Ouminus(X3943,X3942)!=c_Groups_Ozero__class_Ozero(X3943)|X3942=c_Groups_Ozero__class_Ozero(X3943)|~class_Groups_Ogroup__add(X3943))&(X3942!=c_Groups_Ozero__class_Ozero(X3943)|c_Groups_Ouminus__class_Ouminus(X3943,X3942)=c_Groups_Ozero__class_Ozero(X3943)|~class_Groups_Ogroup__add(X3943))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__equal__0__iff__equal])])])).
% 247.18/174.25  fof(i_0_2281, plain, ![X4062]:c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X4062))=X4062, inference(variable_rename,[status(thm)],[fact_zminus__zminus])).
% 247.18/174.25  fof(i_0_2282, plain, ![X3944, X3945]:((c_Groups_Ouminus__class_Ouminus(X3945,X3944)!=X3944|X3944=c_Groups_Ozero__class_Ozero(X3945)|~class_Groups_Olinordered__ab__group__add(X3945))&(X3944!=c_Groups_Ozero__class_Ozero(X3945)|c_Groups_Ouminus__class_Ouminus(X3945,X3944)=X3944|~class_Groups_Olinordered__ab__group__add(X3945))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_neg__equal__zero])])])).
% 247.18/174.25  fof(i_0_2283, plain, ![X3940, X3941]:((X3940!=c_Groups_Ouminus__class_Ouminus(X3941,X3940)|X3940=c_Groups_Ozero__class_Ozero(X3941)|~class_Groups_Olinordered__ab__group__add(X3941))&(X3940!=c_Groups_Ozero__class_Ozero(X3941)|X3940=c_Groups_Ouminus__class_Ouminus(X3941,X3940)|~class_Groups_Olinordered__ab__group__add(X3941))), inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_equal__neg__zero])])])).
% 247.18/174.25  fof(i_0_2284, plain, ![X6010, X6011]:(X6011!=X6010|hBOOL(c_fequal(X6011,X6010))), inference(variable_rename,[status(thm)],[help_c__fequal__2])).
% 247.18/174.25  fof(i_0_2285, plain, ![X5530]:(~class_RealVector_Oreal__normed__algebra__1(X5530)|c_Groups_Osgn__class_Osgn(X5530,c_Groups_Oone__class_Oone(X5530))=c_Groups_Oone__class_Oone(X5530)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__one])])).
% 247.18/174.25  fof(i_0_2286, plain, ![X5544]:(~class_Groups_Osgn__if(X5544)|c_Groups_Osgn__class_Osgn(X5544,c_Groups_Ozero__class_Ozero(X5544))=c_Groups_Ozero__class_Ozero(X5544)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn0])])).
% 247.18/174.25  fof(i_0_2287, plain, ![X5541]:(~class_RealVector_Oreal__normed__vector(X5541)|c_Groups_Osgn__class_Osgn(X5541,c_Groups_Ozero__class_Ozero(X5541))=c_Groups_Ozero__class_Ozero(X5541)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_sgn__zero])])).
% 247.18/174.25  fof(i_0_2288, plain, ![X4462]:(~class_Rings_Odivision__ring(X4462)|c_Rings_Oinverse__class_Oinverse(X4462,c_Groups_Oone__class_Oone(X4462))=c_Groups_Oone__class_Oone(X4462)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__1])])).
% 247.18/174.25  fof(i_0_2289, plain, ![X4799]:(~class_Fields_Ofield__inverse__zero(X4799)|c_Rings_Oinverse__class_Oinverse(X4799,c_Groups_Ozero__class_Ozero(X4799))=c_Groups_Ozero__class_Ozero(X4799)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_field__inverse__zero])])).
% 247.18/174.25  fof(i_0_2290, plain, ![X4463]:(~class_Rings_Odivision__ring__inverse__zero(X4463)|c_Rings_Oinverse__class_Oinverse(X4463,c_Groups_Ozero__class_Ozero(X4463))=c_Groups_Ozero__class_Ozero(X4463)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_inverse__zero])])).
% 247.18/174.25  fof(i_0_2291, plain, ![X3937]:(~class_Groups_Ogroup__add(X3937)|c_Groups_Ouminus__class_Ouminus(X3937,c_Groups_Ozero__class_Ozero(X3937))=c_Groups_Ozero__class_Ozero(X3937)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_minus__zero])])).
% 247.18/174.25  fof(i_0_2292, plain, ![X3746]:(~class_Rings_Ozero__neq__one(X3746)|c_Groups_Oone__class_Oone(X3746)!=c_Groups_Ozero__class_Ozero(X3746)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_one__neq__zero])])).
% 247.18/174.25  fof(i_0_2293, plain, ![X3745]:(~class_Rings_Ozero__neq__one(X3745)|c_Groups_Ozero__class_Ozero(X3745)!=c_Groups_Oone__class_Oone(X3745)), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_zero__neq__one])])).
% 247.18/174.25  fof(i_0_2294, plain, ![X5956]:(~class_Groups_Ocancel__comm__monoid__add(X5956)|class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X5956))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocancel__comm__monoid__add])])).
% 247.18/174.25  fof(i_0_2295, plain, ![X5973]:(~class_Rings_Olinordered__idom(X5973)|class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X5973))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semiring])])).
% 247.18/174.25  fof(i_0_2296, plain, ![X5962]:(~class_Rings_Olinordered__idom(X5962)|class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X5962))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add])])).
% 247.18/174.25  fof(i_0_2297, plain, ![X5970]:(~class_Rings_Olinordered__idom(X5970)|class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X5970))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__comm__semiring])])).
% 247.18/174.25  fof(i_0_2298, plain, ![X5978]:(~class_Rings_Olinordered__idom(X5978)|class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X5978))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__semiring])])).
% 247.18/174.25  fof(i_0_2299, plain, ![X5967]:(~class_Rings_Olinordered__idom(X5967)|class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X5967))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__cancel__semiring])])).
% 247.18/174.25  fof(i_0_2300, plain, ![X6000]:(~class_Rings_Olinordered__idom(X6000)|class_Groups_Osgn__if(tc_Polynomial_Opoly(X6000))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Osgn__if])])).
% 247.18/174.25  fof(i_0_2301, plain, ![X5995]:(~class_Fields_Ofield(X5995)|class_Divides_Oring__div(tc_Polynomial_Opoly(X5995))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Divides_Oring__div])])).
% 247.18/174.25  fof(i_0_2302, plain, ![X5985]:(~class_Fields_Ofield(X5985)|class_Divides_Osemiring__div(tc_Polynomial_Opoly(X5985))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Divides_Osemiring__div])])).
% 247.18/174.25  fof(i_0_2303, plain, ![X5989]:(~class_Rings_Olinordered__idom(X5989)|class_Rings_Oordered__ring(tc_Polynomial_Opoly(X5989))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oordered__ring])])).
% 247.18/174.25  fof(i_0_2304, plain, ![X5963]:(~class_Rings_Olinordered__idom(X5963)|class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X5963))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__comm__monoid__add])])).
% 247.18/174.25  fof(i_0_2305, plain, ![X5981]:(~class_Rings_Olinordered__idom(X5981)|class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X5981))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__ring])])).
% 247.18/174.25  fof(i_0_2306, plain, ![X5961]:(~class_Rings_Olinordered__idom(X5961)|class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X5961))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semiring__strict])])).
% 247.18/174.25  fof(i_0_2307, plain, ![X5960]:(~class_Rings_Olinordered__idom(X5960)|class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X5960))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__comm__semiring__strict])])).
% 247.18/174.25  fof(i_0_2308, plain, ![X5974]:(~class_Rings_Olinordered__idom(X5974)|class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X5974))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__semidom])])).
% 247.18/174.25  fof(i_0_2309, plain, ![X5982]:(~class_Rings_Olinordered__idom(X5982)|class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X5982))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__idom])])).
% 247.18/174.25  fof(i_0_2310, plain, ![X5971]:(~class_Rings_Olinordered__idom(X5971)|class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X5971))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__group__add])])).
% 247.18/174.25  fof(i_0_2311, plain, ![X5958]:(~class_Rings_Olinordered__idom(X5958)|class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X5958))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__cancel__ab__semigroup__add])])).
% 247.18/174.25  fof(i_0_2312, plain, ![X5959]:(~class_Rings_Olinordered__idom(X5959)|class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X5959))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oordered__ab__semigroup__add__imp__le])])).
% 247.18/174.25  fof(i_0_2313, plain, ![X6001]:(~class_Rings_Ocomm__ring__1(X6001)|class_Rings_Oring__1(tc_Polynomial_Opoly(X6001))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring__1])])).
% 247.18/174.25  fof(i_0_2314, plain, ![X6004]:(~class_Rings_Ocomm__ring(X6004)|class_Rings_Oring(tc_Polynomial_Opoly(X6004))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring])])).
% 247.18/174.25  fof(i_0_2315, plain, ![X5994]:(~class_Groups_Oab__group__add(X5994)|class_Groups_Ogroup__add(tc_Polynomial_Opoly(X5994))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ogroup__add])])).
% 247.18/174.25  fof(i_0_2316, plain, ![X5997]:(~class_Rings_Ocomm__ring(X5997)|class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X5997))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__ring])])).
% 247.18/174.25  fof(i_0_2317, plain, ![X5987]:(~class_Groups_Oab__group__add(X5987)|class_Groups_Oab__group__add(tc_Polynomial_Opoly(X5987))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oab__group__add])])).
% 247.18/174.25  fof(i_0_2318, plain, ![X6006]:(~class_Rings_Ocomm__semiring__1(X6006)|class_Groups_Oone(tc_Polynomial_Opoly(X6006))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oone])])).
% 247.18/174.25  fof(i_0_2319, plain, ![X5991]:(~class_Rings_Ocomm__ring__1(X5991)|class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X5991))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__ring__1])])).
% 247.18/174.25  fof(i_0_2320, plain, ![X5976]:(~class_Rings_Ocomm__semiring__1(X5976)|class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X5976))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocomm__monoid__mult])])).
% 247.18/174.25  fof(i_0_2321, plain, ![X5966]:(~class_Rings_Oidom(X5966)|class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X5966))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring__1__no__zero__divisors])])).
% 247.18/174.25  fof(i_0_2322, plain, ![X5986]:(~class_Rings_Ocomm__semiring__0(X5986)|class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X5986))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring])])).
% 247.18/174.25  fof(i_0_2323, plain, ![X5999]:(~class_Rings_Ocomm__semiring__0(X5999)|class_Rings_Osemiring(tc_Polynomial_Opoly(X5999))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Osemiring])])).
% 247.18/174.25  fof(i_0_2324, plain, ![X5969]:(~class_Rings_Oidom(X5969)|class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X5969))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oring__no__zero__divisors])])).
% 247.18/174.25  fof(i_0_2325, plain, ![X5990]:(~class_Rings_Ocomm__semiring__1(X5990)|class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X5990))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Omonoid__mult])])).
% 247.18/174.25  fof(i_0_2326, plain, ![X5957]:(~class_Rings_Oidom(X5957)|class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X5957))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct])])).
% 247.18/174.25  fof(i_0_2327, plain, ![X5968]:(~class_Rings_Olinordered__idom(X5968)|class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X5968))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Olinordered__ring__strict])])).
% 247.18/174.25  fof(i_0_2328, plain, ![X5988]:(~class_Rings_Ocomm__semiring__1(X5988)|class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X5988))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ozero__neq__one])])).
% 247.18/174.25  fof(i_0_2329, plain, ![X5979]:(~class_Rings_Oidom(X5979)|class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X5979))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ono__zero__divisors])])).
% 247.18/174.25  fof(i_0_2330, plain, ![X5996]:(~class_Rings_Ocomm__semiring__0(X5996)|class_Rings_Omult__zero(tc_Polynomial_Opoly(X5996))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Omult__zero])])).
% 247.18/174.25  fof(i_0_2331, plain, ![X6002]:(~class_Rings_Ocomm__semiring__1(X6002)|class_Power_Opower(tc_Polynomial_Opoly(X6002))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Power_Opower])])).
% 247.18/174.25  fof(i_0_2332, plain, ![X5993]:(~class_Rings_Ocomm__semiring__0(X5993)|class_Rings_Osemiring__0(tc_Polynomial_Opoly(X5993))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Osemiring__0])])).
% 247.18/174.25  fof(i_0_2333, plain, ![X6007]:(~class_Rings_Ocomm__semiring__1(X6007)|class_Rings_Odvd(tc_Polynomial_Opoly(X6007))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Odvd])])).
% 247.18/174.25  fof(i_0_2334, plain, ![X5964]:(~class_Rings_Olinordered__idom(X5964)|class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X5964))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Olinordered__ab__group__add])])).
% 247.18/174.25  fof(i_0_2335, plain, ![X5992]:(~class_Groups_Ocomm__monoid__add(X5992)|class_Groups_Omonoid__add(tc_Polynomial_Opoly(X5992))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Omonoid__add])])).
% 247.18/174.25  fof(i_0_2336, plain, ![X5983]:(~class_Rings_Ocomm__semiring__1(X5983)|class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X5983))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__1])])).
% 247.18/174.25  fof(i_0_2337, plain, ![X5977]:(~class_Groups_Ocomm__monoid__add(X5977)|class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X5977))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oab__semigroup__add])])).
% 247.18/174.25  fof(i_0_2338, plain, ![X5975]:(~class_Rings_Ocomm__semiring__0(X5975)|class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X5975))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Oab__semigroup__mult])])).
% 247.18/174.25  fof(i_0_2339, plain, ![X5980]:(~class_Groups_Ocomm__monoid__add(X5980)|class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X5980))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocomm__monoid__add])])).
% 247.18/174.25  fof(i_0_2340, plain, ![X5965]:(~class_Groups_Ocancel__comm__monoid__add(X5965)|class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X5965))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocancel__ab__semigroup__add])])).
% 247.18/174.25  fof(i_0_2341, plain, ![X5972]:(~class_Groups_Ocancel__comm__monoid__add(X5972)|class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X5972))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ocancel__semigroup__add])])).
% 247.18/174.25  fof(i_0_2342, plain, ![X5998]:(~class_Rings_Olinordered__idom(X5998)|class_Int_Oring__char__0(tc_Polynomial_Opoly(X5998))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Int_Oring__char__0])])).
% 247.18/174.25  fof(i_0_2343, plain, ![X6005]:(~class_Rings_Oidom(X6005)|class_Rings_Oidom(tc_Polynomial_Opoly(X6005))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Oidom])])).
% 247.18/174.25  fof(i_0_2344, plain, ![X5984]:(~class_Rings_Ocomm__semiring__0(X5984)|class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X5984))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Rings_Ocomm__semiring__0])])).
% 247.18/174.25  fof(i_0_2345, plain, ![X6003]:(~class_Groups_Ozero(X6003)|class_Groups_Ozero(tc_Polynomial_Opoly(X6003))), inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[arity_Polynomial__Opoly__Groups_Ozero])])).
% 247.18/174.25  fof(i_0_2346, plain, ![X4296]:c_Nat_Osize__class_Osize(tc_Nat_Onat,X4296)=X4296, inference(variable_rename,[status(thm)],[fact_nat__size])).
% 247.18/174.25  fof(i_0_2347, plain, ~hBOOL(c_fFalse), inference(fof_simplification,[status(thm)],[help_c__fFalse__1])).
% 247.18/174.25  cnf(i_0_2348, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,X3,X4),X2)=c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,X3,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X4,X2)),c_Polynomial_Osmult(X1,c_Rings_Oinverse__class_Odivide(X1,hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_OpCons(X1,X3,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X4,X2))),c_Polynomial_Odegree(X1,X2)),hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))),X2))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1293]), ['final']).
% 247.18/174.25  cnf(i_0_2349, plain, (c_Polynomial_Opoly__rec(X2,X1,X3,X4,c_Polynomial_OpCons(X1,X5,X6))=hAPP(hAPP(hAPP(X4,X5),X6),c_If(X2,c_fequal(X6,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X3,c_Polynomial_Opoly__rec(X2,X1,X3,X4,X6)))|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_1294]), ['final']).
% 247.18/174.25  cnf(i_0_2350, plain, (c_Polynomial_Opdivmod__rel(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X6),X7,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X8),X5))|~class_Fields_Ofield(X1)|~c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X5)|~c_Polynomial_Opdivmod__rel(X1,X4,X6,X7,X8)), inference(split_conjunct,[status(thm)],[i_0_1295]), ['final']).
% 247.18/174.25  cnf(i_0_2351, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Opdivmod__rel(X1,c_Polynomial_OpCons(X1,X7,X2),X3,c_Polynomial_OpCons(X1,X6,X4),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,X7,X5),c_Polynomial_Osmult(X1,X6,X3)))|~class_Fields_Ofield(X1)|~c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X5)|X6!=c_Rings_Oinverse__class_Odivide(X1,hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_OpCons(X1,X7,X5)),c_Polynomial_Odegree(X1,X3)),hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)))), inference(split_conjunct,[status(thm)],[i_0_1296]), ['final']).
% 247.18/174.25  cnf(i_0_2352, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Oorder(X1,X3,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)), inference(rw,[status(thm)],[i_0_1297, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2353, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Oorder(X1,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3)), inference(rw,[status(thm)],[i_0_1299, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2354, plain, (c_Polynomial_Opoly__rec(X4,X1,X3,X2,c_Polynomial_OpCons(X1,X5,X6))=hAPP(hAPP(hAPP(X2,X5),X6),c_Polynomial_Opoly__rec(X4,X1,X3,X2,X6))|~class_Groups_Ozero(X1)|hAPP(hAPP(hAPP(X2,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X3)!=X3), inference(split_conjunct,[status(thm)],[i_0_1300]), ['final']).
% 247.18/174.25  cnf(i_0_2355, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ominus__class_Ominus(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Rings_Oinverse__class_Oinverse(X1,X3)),X4)=c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X2)),c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4))),c_Rings_Oinverse__class_Oinverse(X1,X3)))|~class_RealVector_Oreal__normed__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1301]), ['final']).
% 247.18/174.25  cnf(i_0_2356, plain, (X1=X2|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X2,X6)|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X1,X7)|~class_Fields_Ofield(X3)), inference(split_conjunct,[status(thm)],[i_0_1302]), ['final']).
% 247.18/174.25  cnf(i_0_2357, plain, (X1=X2|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X6,X2)|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X7,X1)|~class_Fields_Ofield(X3)), inference(split_conjunct,[status(thm)],[i_0_1302]), ['final']).
% 247.18/174.25  cnf(i_0_2358, plain, (X4=X6|~class_Fields_Ofield(X1)|~c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X5)|~c_Polynomial_Opdivmod__rel(X1,X2,X3,X6,X7)), inference(split_conjunct,[status(thm)],[i_0_1303]), ['final']).
% 247.18/174.25  cnf(i_0_2359, plain, (X5=X7|~class_Fields_Ofield(X1)|~c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X5)|~c_Polynomial_Opdivmod__rel(X1,X2,X3,X6,X7)), inference(split_conjunct,[status(thm)],[i_0_1304]), ['final']).
% 247.18/174.25  cnf(i_0_2360, plain, (hAPP(c_Polynomial_Ocoeff(X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X1,X2,c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),X3)),X3)=c_Groups_Oone__class_Oone(X1)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1305]), ['final']).
% 247.18/174.25  cnf(i_0_2361, plain, (c_Polynomial_Opdivmod__rel(X1,c_Polynomial_Osmult(X1,X6,X2),X3,c_Polynomial_Osmult(X1,X6,X4),c_Polynomial_Osmult(X1,X6,X5))|~class_Fields_Ofield(X1)|~c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X5)), inference(split_conjunct,[status(thm)],[i_0_1306]), ['final']).
% 247.18/174.25  cnf(i_0_2362, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Polynomial_Opdivmod__rel(X1,X3,c_Polynomial_Osmult(X1,X2,X4),c_Polynomial_Osmult(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),X5),X6)|~class_Fields_Ofield(X1)|~c_Polynomial_Opdivmod__rel(X1,X3,X4,X5,X6)), inference(split_conjunct,[status(thm)],[i_0_1307]), ['final']).
% 247.18/174.25  cnf(i_0_2363, plain, (c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))=c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X4)),c_Groups_Ominus__class_Ominus(X1,X3,X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X4)),X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),c_Groups_Ominus__class_Ominus(X1,X3,X5)))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1308]), ['final']).
% 247.18/174.25  cnf(i_0_2364, plain, (hAPP(c_Polynomial_Opoly(X1,X2),X3)=c_Groups_Oplus__class_Oplus(X1,hAPP(c_Polynomial_Opoly(X1,X2),c_Groups_Ozero__class_Ozero(X1)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),esk11_2(X2,X1))),hAPP(c_Polynomial_Opoly(X1,c_Polynomial_OpCons(X1,esk12_2(X2,X1),esk13_2(X2,X1))),X3)))|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X1,X1,c_Polynomial_Opoly(X1,X2))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1309]), ['final']).
% 247.18/174.25  cnf(i_0_2365, plain, (c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)),X6)=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ominus__class_Ominus(X1,X3,X5),X6)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4),X6)),X5))|~class_RealVector_Oreal__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1310]), ['final']).
% 247.18/174.25  cnf(i_0_2366, plain, (c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),c_Polynomial_Osynthetic__div(X1,X3,X2)),c_Polynomial_OpCons(X1,hAPP(c_Polynomial_Opoly(X1,X3),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))=X3|~class_Rings_Ocomm__ring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1311]), ['final']).
% 247.18/174.25  cnf(i_0_2367, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X5),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),X6))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4),X5),X6)|~class_Rings_Oordered__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1312]), ['final']).
% 247.18/174.25  cnf(i_0_2368, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5),X2),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5),X6))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X3,X4)),X5),X6))|~class_Rings_Oordered__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1313]), ['final']).
% 247.18/174.25  cnf(i_0_2369, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),c_Polynomial_Oorder(X1,X2,X3)),X3)|X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1173]), ['final']).
% 247.18/174.25  cnf(i_0_2370, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),c_Polynomial_Oorder(X1,X2,X3)),X3)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1314]), ['final']).
% 247.18/174.25  cnf(i_0_2371, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X5)),X3),X4),X6)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3),X6))|~class_Rings_Oordered__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1312]), ['final']).
% 247.18/174.25  cnf(i_0_2372, plain, (c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X5,X2)),X3),X6))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3),X6))|~class_Rings_Oordered__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1313]), ['final']).
% 247.18/174.25  cnf(i_0_2373, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X3),X4),X5)|~c_Polynomial_Opdivmod__rel(X2,X1,X4,X3,X5)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1315]), ['final']).
% 247.18/174.25  cnf(i_0_2374, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X2,X3),c_Polynomial_Odegree(X2,X1))|~c_Polynomial_Opdivmod__rel(X2,X4,X1,X5,X3)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1315]), ['final']).
% 247.18/174.25  cnf(i_0_2375, plain, (c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),c_Groups_Oplus__class_Oplus(X1,X2,X3))|~class_Rings_Ocomm__ring__1(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1316, c_0_1298]), c_0_1298]), c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2376, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Ominus__class_Ominus(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Rings_Oinverse__class_Oinverse(X1,X3))=c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X2)),c_Groups_Ominus__class_Ominus(X1,X2,X3))),c_Rings_Oinverse__class_Oinverse(X1,X3)))|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1317]), ['final']).
% 247.18/174.25  cnf(i_0_2377, plain, (c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),X2,X3)=X4|~class_Fields_Ofield(X1)|~c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X5)), inference(split_conjunct,[status(thm)],[i_0_1318]), ['final']).
% 247.18/174.25  cnf(i_0_2378, plain, (c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X3)=X5|~class_Fields_Ofield(X1)|~c_Polynomial_Opdivmod__rel(X1,X2,X3,X4,X5)), inference(split_conjunct,[status(thm)],[i_0_1319]), ['final']).
% 247.18/174.25  cnf(i_0_2379, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~c_Polynomial_Opdivmod__rel(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X3,X1,X4)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1320]), ['final']).
% 247.18/174.25  cnf(i_0_2380, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~c_Polynomial_Opdivmod__rel(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X3,X4,X1)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1320]), ['final']).
% 247.18/174.25  cnf(i_0_2381, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~c_Polynomial_Opdivmod__rel(X2,X3,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X1,X4)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1321]), ['final']).
% 247.18/174.25  cnf(i_0_2382, plain, (hBOOL(hAPP(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~hBOOL(hAPP(hAPP(X1,esk26_3(X2,X1,X3)),esk27_3(X2,X1,X3)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)), inference(split_conjunct,[status(thm)],[i_0_1322]), ['final']).
% 247.18/174.25  cnf(i_0_2383, plain, (hBOOL(hAPP(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~hBOOL(hAPP(hAPP(X1,esk24_3(X2,X1,X3)),esk25_3(X2,X1,X3)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[i_0_1323]), ['final']).
% 247.18/174.25  cnf(i_0_2384, plain, (X1=X2|~c_Polynomial_Opdivmod__rel(X3,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X3)),X4,X1)|~class_Fields_Ofield(X3)), inference(split_conjunct,[status(thm)],[i_0_1321]), ['final']).
% 247.18/174.25  cnf(i_0_2385, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~c_Polynomial_Opdivmod__rel(X2,X4,X1,X3,X5)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1315]), ['final']).
% 247.18/174.25  cnf(i_0_2386, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),X3)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X3),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X3),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)),X3))), inference(split_conjunct,[status(thm)],[i_0_1324]), ['final']).
% 247.18/174.25  cnf(i_0_2387, plain, (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X3),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X3),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X3)),X3))), inference(split_conjunct,[status(thm)],[i_0_1325]), ['final']).
% 247.18/174.25  cnf(i_0_2388, plain, (c_Polynomial_Odegree(X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X1,X2,c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))),X3))=X3|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1326]), ['final']).
% 247.18/174.25  cnf(i_0_2389, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1327, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2390, plain, (c_Polynomial_Opdivmod__rel(X1,X5,X3,X4,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Polynomial_Odegree(X1,X3))|X4!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|X5!=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X4),X3),X2)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1315]), ['final']).
% 247.18/174.25  cnf(i_0_2391, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Opdivmod__rel(X1,X4,X3,X5,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Polynomial_Odegree(X1,X3))|X4!=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X5),X3),X2)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1315]), ['final']).
% 247.18/174.25  cnf(i_0_2392, plain, (hBOOL(hAPP(hAPP(X1,X5),X4))|~hBOOL(hAPP(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X4)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X4,X3)|X2!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X5),X4)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)), inference(split_conjunct,[status(thm)],[i_0_1322]), ['final']).
% 247.18/174.25  cnf(i_0_2393, plain, (hBOOL(hAPP(hAPP(X1,X5),X4))|~hBOOL(hAPP(hAPP(X1,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,X4)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X4,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|X2!=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X5),X4)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[i_0_1323]), ['final']).
% 247.18/174.25  cnf(i_0_2394, plain, (hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Polynomial_Omonom(X1,c_Groups_Oone__class_Oone(X1),X2)),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X2)),hAPP(c_Polynomial_Opoly(X1,X3),X4))|~class_Rings_Ocomm__ring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1328]), ['final']).
% 247.18/174.25  cnf(i_0_2395, plain, (c_Polynomial_Opdivmod__rel(X2,X4,X1,X3,X5)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X4!=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X3),X1),X5)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1315]), ['final']).
% 247.18/174.25  cnf(i_0_2396, plain, (c_Polynomial_Opdivmod__rel(X2,X4,X5,X3,X1)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X4!=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X3),X5),X1)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1315]), ['final']).
% 247.18/174.25  cnf(i_0_2397, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opdivmod__rel(X2,X4,X3,X5,X1)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X4!=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X2)),X5),X3),X1)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1315]), ['final']).
% 247.18/174.25  cnf(i_0_2398, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3)),X3),c_Divides_Odiv__class_Omod(X1,X2,X3)),X4)=c_Groups_Oplus__class_Oplus(X1,X2,X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1329]), ['final']).
% 247.18/174.25  cnf(i_0_2399, plain, (c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X6))|~c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)),X6))|~c_Rings_Odvd__class_Odvd(X1,X2,X5)|~class_Rings_Ocomm__ring(X1)|~class_Rings_Odvd(X1)), inference(split_conjunct,[status(thm)],[i_0_1330]), ['final']).
% 247.18/174.25  cnf(i_0_2400, plain, (c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X6))|~c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)),X6))|~c_Rings_Odvd__class_Odvd(X1,X2,X5)|~class_Rings_Ocomm__ring(X1)|~class_Rings_Odvd(X1)), inference(split_conjunct,[status(thm)],[i_0_1331]), ['final']).
% 247.18/174.25  cnf(i_0_2401, plain, (c_Polynomial_Opoly__rec(X4,X1,X3,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=X3|~class_Groups_Ozero(X1)|hAPP(hAPP(hAPP(X2,c_Groups_Ozero__class_Ozero(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X3)!=X3), inference(split_conjunct,[status(thm)],[i_0_1332]), ['final']).
% 247.18/174.25  cnf(i_0_2402, plain, (c_Polynomial_Opdivmod__rel(X1,X2,X3,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),X2,X3),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X3))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1333]), ['final']).
% 247.18/174.25  cnf(i_0_2403, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),X2),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1334]), ['final']).
% 247.18/174.25  cnf(i_0_2404, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X5))|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X4)),X5))|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X4)), inference(split_conjunct,[status(thm)],[i_0_1335]), ['final']).
% 247.18/174.25  cnf(i_0_2405, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Oplus__class_Oplus(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Rings_Oinverse__class_Oinverse(X1,X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3)),c_Rings_Oinverse__class_Oinverse(X1,X2))),c_Rings_Oinverse__class_Oinverse(X1,X3))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1336]), ['final']).
% 247.18/174.25  cnf(i_0_2406, plain, (c_Polynomial_Opoly__gcd(X1,X3,X4)=X2|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Oone__class_Oone(X1)|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Ozero__class_Ozero(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),esk14_4(X4,X3,X2,X1),X2)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1337]), ['final']).
% 247.18/174.25  cnf(i_0_2407, plain, (c_Polynomial_Opoly__gcd(X2,X1,X3)=X4|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|hAPP(c_Polynomial_Ocoeff(X2,X4),c_Polynomial_Odegree(X2,X4))!=c_Groups_Ozero__class_Ozero(X2)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),esk14_4(X3,X1,X4,X2),X4)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X4,X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X4,X1)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1337]), ['final']).
% 247.18/174.25  cnf(i_0_2408, plain, (c_Polynomial_Opdivmod__rel(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1338]), ['final']).
% 247.18/174.25  cnf(i_0_2409, plain, (c_Polynomial_Opdivmod__rel(X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X4,X1,X3)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1320]), ['final']).
% 247.18/174.25  cnf(i_0_2410, plain, (X2=X3|X2=c_Groups_Ouminus__class_Ouminus(X1,X3)|hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))!=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~class_Rings_Oidom(X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1339, c_0_1298]), c_0_1298]), c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2411, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk26_3(X1,X3,X2)),esk27_3(X1,X3,X2))|hBOOL(hAPP(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)), inference(split_conjunct,[status(thm)],[i_0_1322]), ['final']).
% 247.18/174.25  cnf(i_0_2412, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk24_3(X1,X3,X2)),esk25_3(X1,X3,X2))|hBOOL(hAPP(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[i_0_1323]), ['final']).
% 247.18/174.25  cnf(i_0_2413, plain, (c_Polynomial_Opdivmod__rel(X2,X4,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2)),X1,X3)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3!=X4|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1321]), ['final']).
% 247.18/174.25  cnf(i_0_2414, plain, (c_Polynomial_Opdivmod__rel(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1340]), ['final']).
% 247.18/174.25  cnf(i_0_2415, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Opoly__gcd(X1,X3,X4)=X2|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Oone__class_Oone(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),esk14_4(X4,X3,X2,X1),X2)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1337]), ['final']).
% 247.18/174.25  cnf(i_0_2416, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Opoly__gcd(X1,X4,X3)=X2|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Oone__class_Oone(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),esk14_4(X3,X4,X2,X1),X2)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1337]), ['final']).
% 247.18/174.25  cnf(i_0_2417, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X5)=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),X6)|c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4),X5)!=X6|~class_Rings_Oring(X1)), inference(split_conjunct,[status(thm)],[i_0_1341]), ['final']).
% 247.18/174.25  cnf(i_0_2418, plain, (c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X4),X5),X1)=c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X5),X6)|X1!=c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),c_Groups_Ominus__class_Ominus(X2,X3,X4)),X5),X6)|~class_Rings_Oring(X2)), inference(split_conjunct,[status(thm)],[i_0_1342]), ['final']).
% 247.18/174.25  cnf(i_0_2419, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1343, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2420, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3)),c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)),X3))), inference(split_conjunct,[status(thm)],[i_0_1344]), ['final']).
% 247.18/174.25  cnf(i_0_2421, plain, (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)),c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X3)),X3))), inference(split_conjunct,[status(thm)],[i_0_1345]), ['final']).
% 247.18/174.25  cnf(i_0_2422, plain, (c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ominus__class_Ominus(X1,X3,X5)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X4)),X5))|~class_Rings_Oring(X1)), inference(split_conjunct,[status(thm)],[i_0_1346]), ['final']).
% 247.18/174.25  cnf(i_0_2423, plain, (c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X6)),X4))|~c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~c_Rings_Odvd__class_Odvd(X1,X2,X6)|~class_Rings_Ocomm__ring(X1)|~class_Rings_Odvd(X1)), inference(split_conjunct,[status(thm)],[i_0_1330]), ['final']).
% 247.18/174.25  cnf(i_0_2424, plain, (c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X6)),X4))|~c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~c_Rings_Odvd__class_Odvd(X1,X2,X6)|~class_Rings_Ocomm__ring(X1)|~class_Rings_Odvd(X1)), inference(split_conjunct,[status(thm)],[i_0_1331]), ['final']).
% 247.18/174.25  cnf(i_0_2425, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3),X1)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)), inference(split_conjunct,[status(thm)],[i_0_1347]), ['final']).
% 247.18/174.25  cnf(i_0_2426, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X5)),X3),X4)=X6|c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)!=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3),X6)|~class_Rings_Oring(X1)), inference(split_conjunct,[status(thm)],[i_0_1341]), ['final']).
% 247.18/174.25  cnf(i_0_2427, plain, (X4=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X5,X2)),X3),X6)|c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)!=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X3),X6)|~class_Rings_Oring(X1)), inference(split_conjunct,[status(thm)],[i_0_1342]), ['final']).
% 247.18/174.25  cnf(i_0_2428, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Odiv(X1,X3,X2)),c_Divides_Odiv__class_Omod(X1,X3,X2)),X4)=c_Groups_Oplus__class_Oplus(X1,X3,X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1348]), ['final']).
% 247.18/174.25  cnf(i_0_2429, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),X5))=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,X4)),X3),X5)|~class_Rings_Osemiring(X1)), inference(split_conjunct,[status(thm)],[i_0_1349]), ['final']).
% 247.18/174.25  cnf(i_0_2430, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X4),X5)),X3))|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X5)), inference(split_conjunct,[status(thm)],[i_0_1335]), ['final']).
% 247.18/174.25  cnf(i_0_2431, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Ominus__class_Ominus(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Rings_Oinverse__class_Oinverse(X1,X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X2)),c_Groups_Ominus__class_Ominus(X1,X3,X2))),c_Rings_Oinverse__class_Oinverse(X1,X3))|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1350]), ['final']).
% 247.18/174.25  cnf(i_0_2432, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Oplus__class_Oplus(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Rings_Oinverse__class_Oinverse(X1,X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X2)),c_Groups_Oplus__class_Oplus(X1,X2,X3))),c_Rings_Oinverse__class_Oinverse(X1,X3))|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1351]), ['final']).
% 247.18/174.25  cnf(i_0_2433, plain, (c_Polynomial_Opoly__gcd(X1,X3,X4)=X2|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),esk14_4(X4,X3,X2,X1),X3)|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Oone__class_Oone(X1)|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Ozero__class_Ozero(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1337]), ['final']).
% 247.18/174.25  cnf(i_0_2434, plain, (c_Polynomial_Opoly__gcd(X1,X3,X4)=X2|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),esk14_4(X4,X3,X2,X1),X4)|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Oone__class_Oone(X1)|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Ozero__class_Ozero(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1337]), ['final']).
% 247.18/174.25  cnf(i_0_2435, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X4,X1)),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1352]), ['final']).
% 247.18/174.25  cnf(i_0_2436, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2),X3)),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2))), inference(split_conjunct,[status(thm)],[i_0_1353]), ['final']).
% 247.18/174.25  cnf(i_0_2437, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)),X3)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1354]), ['final']).
% 247.18/174.25  cnf(i_0_2438, plain, (hAPP(c_Polynomial_Ocoeff(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Polynomial_Odegree(X1,X3)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))),hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3)))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1355]), ['final']).
% 247.18/174.25  cnf(i_0_2439, plain, (hBOOL(hAPP(X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),esk9_3(X2,X4,X1))))|~c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(X4,X3))|~class_Rings_Odvd(X1)|~class_Rings_Osemiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1356]), ['final']).
% 247.18/174.25  cnf(i_0_2440, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2),X4))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)),X2),X4)), inference(split_conjunct,[status(thm)],[i_0_1357]), ['final']).
% 247.18/174.25  cnf(i_0_2441, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Omod(X1,X2,X4)),c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1358]), ['final']).
% 247.18/174.25  cnf(i_0_2442, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Ominus__class_Ominus(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X2),c_Rings_Oinverse__class_Odivide(X1,X5,X3))=c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1359]), ['final']).
% 247.18/174.25  cnf(i_0_2443, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Oplus__class_Oplus(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X2),c_Rings_Oinverse__class_Odivide(X1,X5,X3))=c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X5),X2)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1360]), ['final']).
% 247.18/174.25  cnf(i_0_2444, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,esk25_3(X1,X2,X3),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|hBOOL(hAPP(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X3)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X3,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[i_0_1323]), ['final']).
% 247.18/174.25  cnf(i_0_2445, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),esk27_3(X1,X2,X3))|hBOOL(hAPP(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X3)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)), inference(split_conjunct,[status(thm)],[i_0_1322]), ['final']).
% 247.18/174.25  cnf(i_0_2446, plain, (c_Polynomial_Opoly__gcd(X2,X1,X3)=X4|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),esk14_4(X3,X1,X4,X2),X1)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|hAPP(c_Polynomial_Ocoeff(X2,X4),c_Polynomial_Odegree(X2,X4))!=c_Groups_Ozero__class_Ozero(X2)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X4,X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X4,X1)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1337]), ['final']).
% 247.18/174.25  cnf(i_0_2447, plain, (c_Polynomial_Opoly__gcd(X2,X1,X3)=X4|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),esk14_4(X3,X1,X4,X2),X3)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|hAPP(c_Polynomial_Ocoeff(X2,X4),c_Polynomial_Odegree(X2,X4))!=c_Groups_Ozero__class_Ozero(X2)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X4,X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X4,X1)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1337]), ['final']).
% 247.18/174.25  cnf(i_0_2448, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,esk27_3(X1,X2,X3),X3)|hBOOL(hAPP(hAPP(X2,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X3)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X3)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)), inference(split_conjunct,[status(thm)],[i_0_1322]), ['final']).
% 247.18/174.25  cnf(i_0_2449, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,esk25_3(X2,X3,X1))|hBOOL(hAPP(hAPP(X3,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[i_0_1323]), ['final']).
% 247.18/174.25  cnf(i_0_2450, plain, (~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3)))|X2!=c_Groups_Ozero__class_Ozero(X1)|X3!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1361]), ['final']).
% 247.18/174.25  cnf(i_0_2451, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Opoly__gcd(X1,X3,X4)=X2|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),esk14_4(X4,X3,X2,X1),X3)|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Oone__class_Oone(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1337]), ['final']).
% 247.18/174.25  cnf(i_0_2452, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Opoly__gcd(X1,X3,X4)=X2|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),esk14_4(X4,X3,X2,X1),X4)|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Oone__class_Oone(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1337]), ['final']).
% 247.18/174.25  cnf(i_0_2453, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Opoly__gcd(X1,X4,X3)=X2|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),esk14_4(X3,X4,X2,X1),X3)|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Oone__class_Oone(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1337]), ['final']).
% 247.18/174.25  cnf(i_0_2454, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Opoly__gcd(X1,X4,X3)=X2|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),esk14_4(X3,X4,X2,X1),X4)|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Oone__class_Oone(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1337]), ['final']).
% 247.18/174.25  cnf(i_0_2455, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X5))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1362]), ['final']).
% 247.18/174.25  cnf(i_0_2456, plain, (~class_Rings_Olinordered__ring(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3)),c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1363]), ['final']).
% 247.18/174.25  cnf(i_0_2457, plain, (hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X5,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(hAPP(X3,X4),hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),X5))), inference(rw,[status(thm)],[i_0_1364, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2458, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1365, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2459, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Polynomial_OpCons(X1,X2,X3)),X4)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X4),c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X4)))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1366]), ['final']).
% 247.18/174.25  cnf(i_0_2460, plain, (hAPP(c_Polynomial_Opoly(X1,X3),X2)=c_Groups_Ozero__class_Ozero(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))),X3)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1367]), ['final']).
% 247.18/174.25  cnf(i_0_2461, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Polynomial_OpCons(X1,X2,X3),X4)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X4,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X3,X4)),c_Polynomial_OpCons(X1,X2,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X3,X4)))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1368]), ['final']).
% 247.18/174.25  cnf(i_0_2462, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))),X3)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X2)|~class_Groups_Omonoid__mult(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)), inference(split_conjunct,[status(thm)],[i_0_1369]), ['final']).
% 247.18/174.25  cnf(i_0_2463, plain, (X2=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1370, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2464, plain, (hAPP(c_Polynomial_Opoly(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))=c_Groups_Ozero__class_Ozero(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,X2,c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))),X3)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1371]), ['final']).
% 247.18/174.25  cnf(i_0_2465, plain, (X1=X2|X3=X4|c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X2),X4))!=c_Groups_Oplus__class_Oplus(X5,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X5),X2),X3))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X5)), inference(split_conjunct,[status(thm)],[i_0_1372]), ['final']).
% 247.18/174.25  cnf(i_0_2466, plain, (X2=X4|X3=X5|c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))!=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)), inference(split_conjunct,[status(thm)],[i_0_1373]), ['final']).
% 247.18/174.25  cnf(i_0_2467, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|X1!=c_Groups_Ouminus__class_Ouminus(X2,X3)|~class_Rings_Oidom(X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1374, c_0_1298]), c_0_1298]), c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2468, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Odiv(X1,X3,X2)),c_Divides_Odiv__class_Odiv(X1,X5,X4))=c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Divides_Osemiring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~c_Rings_Odvd__class_Odvd(X1,X4,X5)), inference(split_conjunct,[status(thm)],[i_0_1375]), ['final']).
% 247.18/174.25  cnf(i_0_2469, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1376, c_0_1298]), c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2470, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Polynomial_OpCons(X1,X3,X4))=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X3,X2),c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4)))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1377]), ['final']).
% 247.18/174.25  cnf(i_0_2471, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Oring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1378]), ['final']).
% 247.18/174.25  cnf(i_0_2472, plain, (c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,esk8_3(X2,X3,X1),c_Groups_Ozero__class_Ozero(X1)))|~hBOOL(hAPP(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)))|~class_Rings_Odvd(X1)|~class_Rings_Osemiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1356]), ['final']).
% 247.18/174.25  cnf(i_0_2473, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X3),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~c_Orderings_Oord__class_Oless(X1,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1379]), ['final']).
% 247.18/174.25  cnf(i_0_2474, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X2),X3)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),X4)|~c_Orderings_Oord__class_Oless(X1,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1379]), ['final']).
% 247.18/174.25  cnf(i_0_2475, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Rings_Oinverse__class_Odivide(X1,X3,X4))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1380]), ['final']).
% 247.18/174.25  cnf(i_0_2476, plain, (c_Orderings_Oord__class_Oless(X1,X4,c_Rings_Oinverse__class_Odivide(X1,X3,X2))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),X3)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1380]), ['final']).
% 247.18/174.25  cnf(i_0_2477, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4)=c_Divides_Odiv__class_Omod(X1,c_Groups_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X1,X2,X4),c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)|~class_Divides_Oring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1381]), ['final']).
% 247.18/174.25  cnf(i_0_2478, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)=c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X1,X2,X4),c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1382]), ['final']).
% 247.18/174.25  cnf(i_0_2479, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),esk22_3(X2,X1,X3)),esk23_3(X2,X1,X3))|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))|~hBOOL(hAPP(X3,X1))), inference(split_conjunct,[status(thm)],[i_0_1383]), ['final']).
% 247.18/174.25  cnf(i_0_2480, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Omod(X1,X2,X3)),X4),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1384]), ['final']).
% 247.18/174.25  cnf(i_0_2481, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Omod(X1,X2,X4)),X3),X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1385]), ['final']).
% 247.18/174.25  cnf(i_0_2482, plain, (c_Polynomial_Opcompose(X1,c_Polynomial_OpCons(X1,X2,X3),X4)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X4),c_Polynomial_Opcompose(X1,X3,X4)))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1386]), ['final']).
% 247.18/174.25  cnf(i_0_2483, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1))),X3)|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1387]), ['final']).
% 247.18/174.25  cnf(i_0_2484, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1))))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1388]), ['final']).
% 247.18/174.25  cnf(i_0_2485, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1389]), ['final']).
% 247.18/174.25  cnf(i_0_2486, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1390]), ['final']).
% 247.18/174.25  cnf(i_0_2487, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X5,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)|X3!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X4),X2)|~hBOOL(hAPP(X5,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X1)))), inference(split_conjunct,[status(thm)],[i_0_1383]), ['final']).
% 247.18/174.25  cnf(i_0_2488, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X3),c_Rings_Oinverse__class_Odivide(X1,X4,X2))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))), inference(split_conjunct,[status(thm)],[i_0_1391]), ['final']).
% 247.18/174.25  cnf(i_0_2489, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X2),c_Rings_Oinverse__class_Odivide(X1,X4,X3))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))), inference(split_conjunct,[status(thm)],[i_0_1392]), ['final']).
% 247.18/174.25  cnf(i_0_2490, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),esk22_3(X2,X1,X3)),esk23_3(X2,X1,X3))|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)))), inference(split_conjunct,[status(thm)],[i_0_1383]), ['final']).
% 247.18/174.25  cnf(i_0_2491, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X1),X2)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)), inference(rw,[status(thm)],[i_0_1393, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2492, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X3),X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X3),X2)), inference(split_conjunct,[status(thm)],[i_0_1394]), ['final']).
% 247.18/174.25  cnf(i_0_2493, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3)),X3),c_Divides_Odiv__class_Omod(X1,X2,X3))=X2|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1395]), ['final']).
% 247.18/174.25  cnf(i_0_2494, plain, (c_Groups_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X1,X2,X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Odiv(X1,X2,X3)),X3))=X2|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1396]), ['final']).
% 247.18/174.25  cnf(i_0_2495, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1397, c_0_1298]), c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2496, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,X3)),X4)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1398]), ['final']).
% 247.18/174.25  cnf(i_0_2497, plain, (hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))|~hBOOL(hAPP(X1,esk19_3(X2,X3,X1)))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), inference(split_conjunct,[status(thm)],[i_0_1399]), ['final']).
% 247.18/174.25  cnf(i_0_2498, plain, (hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))|~hBOOL(hAPP(X1,esk18_3(X2,X3,X1)))|~hBOOL(hAPP(X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), inference(split_conjunct,[status(thm)],[i_0_1400]), ['final']).
% 247.18/174.25  cnf(i_0_2499, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1401, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2500, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1402, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2501, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)|hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))|~hBOOL(hAPP(X1,esk19_3(X2,X3,X1)))), inference(split_conjunct,[status(thm)],[i_0_1399]), ['final']).
% 247.18/174.25  cnf(i_0_2502, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X2)|hBOOL(hAPP(X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2)))|~hBOOL(hAPP(X1,esk18_3(X2,X3,X1)))), inference(split_conjunct,[status(thm)],[i_0_1400]), ['final']).
% 247.18/174.25  cnf(i_0_2503, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Ominus__class_Ominus(X1,X2,X5),X3)=c_Divides_Odiv__class_Omod(X1,c_Groups_Ominus__class_Ominus(X1,X4,X6),X3)|~class_Divides_Oring__div(X1)|c_Divides_Odiv__class_Omod(X1,X2,X3)!=c_Divides_Odiv__class_Omod(X1,X4,X3)|c_Divides_Odiv__class_Omod(X1,X5,X3)!=c_Divides_Odiv__class_Omod(X1,X6,X3)), inference(split_conjunct,[status(thm)],[i_0_1403]), ['final']).
% 247.18/174.25  cnf(i_0_2504, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X2,X5),X3)=c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X4,X6),X3)|~class_Divides_Osemiring__div(X1)|c_Divides_Odiv__class_Omod(X1,X2,X3)!=c_Divides_Odiv__class_Omod(X1,X4,X3)|c_Divides_Odiv__class_Omod(X1,X5,X3)!=c_Divides_Odiv__class_Omod(X1,X6,X3)), inference(split_conjunct,[status(thm)],[i_0_1404]), ['final']).
% 247.18/174.25  cnf(i_0_2505, plain, (hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X2)))|~hBOOL(hAPP(X1,esk23_3(X2,X3,X1)))|~hBOOL(hAPP(X1,X3))), inference(split_conjunct,[status(thm)],[i_0_1383]), ['final']).
% 247.18/174.25  cnf(i_0_2506, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Polynomial_Omonom(X1,X2,X3)),c_Polynomial_Omonom(X1,X4,X5))=c_Polynomial_Omonom(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X5))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1405]), ['final']).
% 247.18/174.25  cnf(i_0_2507, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5),X3)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X6),X3)|~class_Divides_Osemiring__div(X1)|c_Divides_Odiv__class_Omod(X1,X2,X3)!=c_Divides_Odiv__class_Omod(X1,X4,X3)|c_Divides_Odiv__class_Omod(X1,X5,X3)!=c_Divides_Odiv__class_Omod(X1,X6,X3)), inference(split_conjunct,[status(thm)],[i_0_1406]), ['final']).
% 247.18/174.25  cnf(i_0_2508, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oone__class_Oone(X1))), inference(split_conjunct,[status(thm)],[i_0_1407]), ['final']).
% 247.18/174.25  cnf(i_0_2509, plain, (c_Rings_Odvd__class_Odvd(X1,X2,X4)|~c_Rings_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Odiv(X1,X2,X3),c_Divides_Odiv__class_Odiv(X1,X4,X3))|~c_Rings_Odvd__class_Odvd(X1,X3,X4)|~c_Rings_Odvd__class_Odvd(X1,X3,X2)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1408]), ['final']).
% 247.18/174.25  cnf(i_0_2510, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[i_0_1409]), ['final']).
% 247.18/174.25  cnf(i_0_2511, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1410, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2512, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3)),c_Rings_Oinverse__class_Odivide(X1,X4,X5))=c_Rings_Oinverse__class_Odivide(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1411]), ['final']).
% 247.18/174.25  cnf(i_0_2513, plain, (hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(c_Polynomial_Opoly(X1,X2),X4)),hAPP(c_Polynomial_Opoly(X1,X3),X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1412]), ['final']).
% 247.18/174.25  cnf(i_0_2514, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2))), inference(split_conjunct,[status(thm)],[i_0_1413]), ['final']).
% 247.18/174.25  cnf(i_0_2515, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Rings_Oordered__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X5)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1414]), ['final']).
% 247.18/174.25  cnf(i_0_2516, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Rings_Oordered__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X5)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1415]), ['final']).
% 247.18/174.25  cnf(i_0_2517, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X5)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1416]), ['final']).
% 247.18/174.25  cnf(i_0_2518, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,X5)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1417]), ['final']).
% 247.18/174.25  cnf(i_0_2519, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,X5)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1418]), ['final']).
% 247.18/174.25  cnf(i_0_2520, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,X5)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1419]), ['final']).
% 247.18/174.25  cnf(i_0_2521, plain, (hBOOL(hAPP(X1,esk8_3(X2,X1,X3)))|~hBOOL(hAPP(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X4)))|~class_Rings_Odvd(X3)|~class_Rings_Osemiring__0(X3)), inference(split_conjunct,[status(thm)],[i_0_1356]), ['final']).
% 247.18/174.25  cnf(i_0_2522, plain, (c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Osmult(X1,X3,c_Polynomial_Osynthetic__div(X1,X2,X3)))=c_Polynomial_OpCons(X1,hAPP(c_Polynomial_Opoly(X1,X2),X3),c_Polynomial_Osynthetic__div(X1,X2,X3))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1420]), ['final']).
% 247.18/174.25  cnf(i_0_2523, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X1,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X2)))|~hBOOL(hAPP(X1,esk23_3(X2,X3,X1)))), inference(split_conjunct,[status(thm)],[i_0_1383]), ['final']).
% 247.18/174.25  cnf(i_0_2524, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4))|~class_Groups_Ocomm__monoid__mult(X1)), inference(split_conjunct,[status(thm)],[i_0_1421]), ['final']).
% 247.18/174.25  cnf(i_0_2525, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1422]), ['final']).
% 247.18/174.25  cnf(i_0_2526, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Divides_Odiv__class_Odiv(X1,X3,X2)),X4)=c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))|~class_Divides_Osemiring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1423]), ['final']).
% 247.18/174.25  cnf(i_0_2527, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),X2))), inference(split_conjunct,[status(thm)],[i_0_1424]), ['final']).
% 247.18/174.25  cnf(i_0_2528, plain, (c_Divides_Odiv__class_Odiv(X1,c_Groups_Oplus__class_Oplus(X1,X3,X4),X2)=c_Groups_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Odiv(X1,X3,X2),c_Divides_Odiv__class_Odiv(X1,X4,X2))|~class_Divides_Osemiring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~c_Rings_Odvd__class_Odvd(X1,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_1425]), ['final']).
% 247.18/174.25  cnf(i_0_2529, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))),X2)|hAPP(c_Polynomial_Opoly(X1,X2),X3)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1367]), ['final']).
% 247.18/174.25  cnf(i_0_2530, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,X3,c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))),X2)|hAPP(c_Polynomial_Opoly(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1371]), ['final']).
% 247.18/174.25  cnf(i_0_2531, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)))|~class_Rings_Olinordered__ring__strict(X2)), inference(split_conjunct,[status(thm)],[i_0_1361]), ['final']).
% 247.18/174.25  cnf(i_0_2532, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)))|~class_Rings_Olinordered__ring__strict(X2)), inference(split_conjunct,[status(thm)],[i_0_1361]), ['final']).
% 247.18/174.25  cnf(i_0_2533, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)))), inference(split_conjunct,[status(thm)],[i_0_1426]), ['final']).
% 247.18/174.25  cnf(i_0_2534, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(X1))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oone__class_Oone(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(rw,[status(thm)],[i_0_1427, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2535, plain, (c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),c_Groups_Oone__class_Oone(X1))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oone__class_Oone(X1))),c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Oone__class_Oone(X1)))|~class_Rings_Oring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1428]), ['final']).
% 247.18/174.25  cnf(i_0_2536, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),X4)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X2),X3)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1379]), ['final']).
% 247.18/174.25  cnf(i_0_2537, plain, (c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X4,c_Rings_Oinverse__class_Odivide(X1,X3,X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1380]), ['final']).
% 247.18/174.25  cnf(i_0_2538, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),X2,X4)),X3)|~class_Groups_Oab__group__add(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X4),X3)), inference(split_conjunct,[status(thm)],[i_0_1429]), ['final']).
% 247.18/174.25  cnf(i_0_2539, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,X4)),X3)|~class_Groups_Ocomm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X4),X3)), inference(split_conjunct,[status(thm)],[i_0_1430]), ['final']).
% 247.18/174.25  cnf(i_0_2540, plain, (hAPP(c_Polynomial_Opoly(X1,c_Polynomial_OpCons(X1,X2,X3)),X4)=c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),hAPP(c_Polynomial_Opoly(X1,X3),X4)))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1431]), ['final']).
% 247.18/174.25  cnf(i_0_2541, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X3),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1379]), ['final']).
% 247.18/174.25  cnf(i_0_2542, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X2),X3)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),X4)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1379]), ['final']).
% 247.18/174.25  cnf(i_0_2543, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,X4,c_Rings_Oinverse__class_Odivide(X1,X3,X2))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1380]), ['final']).
% 247.18/174.25  cnf(i_0_2544, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|c_Orderings_Oord__class_Oless(X1,X2,c_Rings_Oinverse__class_Odivide(X1,X3,X4))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1380]), ['final']).
% 247.18/174.25  cnf(i_0_2545, plain, (c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X3),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1379]), ['final']).
% 247.18/174.25  cnf(i_0_2546, plain, (c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,X2,c_Rings_Oinverse__class_Odivide(X1,X4,X3))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1380]), ['final']).
% 247.18/174.25  cnf(i_0_2547, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1432]), ['final']).
% 247.18/174.25  cnf(i_0_2548, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X4)|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1433]), ['final']).
% 247.18/174.25  cnf(i_0_2549, plain, (c_Orderings_Oord__class_Oless__eq(X1,X3,X4)|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1434]), ['final']).
% 247.18/174.25  cnf(i_0_2550, plain, (c_Orderings_Oord__class_Oless__eq(X1,X3,X4)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1435]), ['final']).
% 247.18/174.25  cnf(i_0_2551, plain, (c_Orderings_Oord__class_Oless(X1,X2,X4)|~class_Rings_Olinordered__semiring(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1436]), ['final']).
% 247.18/174.25  cnf(i_0_2552, plain, (c_Orderings_Oord__class_Oless(X1,X2,X4)|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1437]), ['final']).
% 247.18/174.25  cnf(i_0_2553, plain, (c_Orderings_Oord__class_Oless(X1,X3,X4)|~class_Rings_Olinordered__semiring(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1438]), ['final']).
% 247.18/174.25  cnf(i_0_2554, plain, (c_Orderings_Oord__class_Oless(X1,X3,X4)|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1439]), ['final']).
% 247.18/174.25  cnf(i_0_2555, plain, (c_Orderings_Oord__class_Oless(X1,X3,X4)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1440]), ['final']).
% 247.18/174.25  cnf(i_0_2556, plain, (c_Orderings_Oord__class_Oless__eq(X1,X4,X3)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1441]), ['final']).
% 247.18/174.25  cnf(i_0_2557, plain, (c_Orderings_Oord__class_Oless(X1,X4,X3)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1442]), ['final']).
% 247.18/174.25  cnf(i_0_2558, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))), inference(split_conjunct,[status(thm)],[i_0_1443]), ['final']).
% 247.18/174.25  cnf(i_0_2559, plain, (c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X3,X4)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)|~class_Rings_Olinordered__semidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1444]), ['final']).
% 247.18/174.25  cnf(i_0_2560, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))), inference(split_conjunct,[status(thm)],[i_0_1445]), ['final']).
% 247.18/174.25  cnf(i_0_2561, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)|~class_Rings_Olinordered__semidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1446]), ['final']).
% 247.18/174.25  cnf(i_0_2562, plain, (c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X1,X4,X5))=c_Polynomial_OpCons(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4),c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),X3,X5))|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1447]), ['final']).
% 247.18/174.25  cnf(i_0_2563, plain, (c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,X2,X3),c_Polynomial_OpCons(X1,X4,X5))=c_Polynomial_OpCons(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X3,X5))|~class_Groups_Ocomm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1448]), ['final']).
% 247.18/174.25  cnf(i_0_2564, plain, (hAPP(c_Polynomial_Opoly(X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(X1)),X2),X3)),X4)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(c_Polynomial_Opoly(X1,X2),X4)),X3)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1449]), ['final']).
% 247.18/174.25  cnf(i_0_2565, plain, (c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))=c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4),c_Groups_Ominus__class_Ominus(X1,X3,X5))|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1450]), ['final']).
% 247.18/174.25  cnf(i_0_2566, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X5))=c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X5))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1451]), ['final']).
% 247.18/174.25  cnf(i_0_2567, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X1,X2,X3),X4),X3)=c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),X3)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1452]), ['final']).
% 247.18/174.25  cnf(i_0_2568, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X2,c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)=c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1453]), ['final']).
% 247.18/174.25  cnf(i_0_2569, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4)=c_Divides_Odiv__class_Omod(X1,c_Groups_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X1,X2,X4),X3),X4)|~class_Divides_Oring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1454]), ['final']).
% 247.18/174.25  cnf(i_0_2570, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)=c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Omod(X1,X2,X4),X3),X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1455]), ['final']).
% 247.18/174.25  cnf(i_0_2571, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4)=c_Divides_Odiv__class_Omod(X1,c_Groups_Ominus__class_Ominus(X1,X2,c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)|~class_Divides_Oring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1456]), ['final']).
% 247.18/174.25  cnf(i_0_2572, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)=c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X2,c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1457]), ['final']).
% 247.18/174.25  cnf(i_0_2573, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X2))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless__eq(X1,X4,c_Groups_Oone__class_Oone(X1))), inference(split_conjunct,[status(thm)],[i_0_1458]), ['final']).
% 247.18/174.25  cnf(i_0_2574, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X2))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Oone__class_Oone(X1))), inference(split_conjunct,[status(thm)],[i_0_1459]), ['final']).
% 247.18/174.25  cnf(i_0_2575, plain, (hAPP(c_Polynomial_Ocoeff(X2,c_Polynomial_Opoly__gcd(X2,X1,X3)),c_Polynomial_Odegree(X2,c_Polynomial_Opoly__gcd(X2,X1,X3)))=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1460]), ['final']).
% 247.18/174.25  cnf(i_0_2576, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X1,c_Groups_Oplus__class_Oplus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X2)=c_Groups_Oplus__class_Oplus(X1,X4,c_Divides_Odiv__class_Odiv(X1,X3,X2))|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1461]), ['final']).
% 247.18/174.25  cnf(i_0_2577, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X1,c_Groups_Oplus__class_Oplus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),X2)=c_Groups_Oplus__class_Oplus(X1,X4,c_Divides_Odiv__class_Odiv(X1,X3,X2))|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1462]), ['final']).
% 247.18/174.25  cnf(i_0_2578, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Ominus__class_Ominus(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X4)=c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ominus__class_Ominus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X2)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1463]), ['final']).
% 247.18/174.25  cnf(i_0_2579, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Oplus__class_Oplus(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X4)=c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X2)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1464]), ['final']).
% 247.18/174.25  cnf(i_0_2580, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Oplus__class_Oplus(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X4)=c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)),X2)|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1465]), ['final']).
% 247.18/174.25  cnf(i_0_2581, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Ominus__class_Ominus(X1,X3,c_Rings_Oinverse__class_Odivide(X1,X4,X2))=c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4),X2)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1466]), ['final']).
% 247.18/174.25  cnf(i_0_2582, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Oplus__class_Oplus(X1,X3,c_Rings_Oinverse__class_Odivide(X1,X4,X2))=c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4),X2)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1467]), ['final']).
% 247.18/174.25  cnf(i_0_2583, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Oplus__class_Oplus(X1,X3,c_Rings_Oinverse__class_Odivide(X1,X4,X2))=c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)),X2)|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1468]), ['final']).
% 247.18/174.25  cnf(i_0_2584, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2)),X4)=c_Rings_Oinverse__class_Odivide(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1469]), ['final']).
% 247.18/174.25  cnf(i_0_2585, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1470]), ['final']).
% 247.18/174.25  cnf(i_0_2586, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1471]), ['final']).
% 247.18/174.25  cnf(i_0_2587, plain, (c_Rings_Odvd__class_Odvd(X1,c_Divides_Odiv__class_Odiv(X1,X2,X4),c_Divides_Odiv__class_Odiv(X1,X3,X4))|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~c_Rings_Odvd__class_Odvd(X1,X4,X3)|~c_Rings_Odvd__class_Odvd(X1,X4,X2)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1408]), ['final']).
% 247.18/174.25  cnf(i_0_2588, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)=c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4)),X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1472]), ['final']).
% 247.18/174.25  cnf(i_0_2589, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1473, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2590, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Omod(X1,X2,X4)),X3)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1474]), ['final']).
% 247.18/174.25  cnf(i_0_2591, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,X4)),X3)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1475]), ['final']).
% 247.18/174.25  cnf(i_0_2592, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)=c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1476]), ['final']).
% 247.18/174.25  cnf(i_0_2593, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ominus__class_Ominus(X1,X2,X3)),X4)=c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1477]), ['final']).
% 247.18/174.25  cnf(i_0_2594, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3)),X4)=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1478]), ['final']).
% 247.18/174.25  cnf(i_0_2595, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3)),X4)=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1479]), ['final']).
% 247.18/174.25  cnf(i_0_2596, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3)),X4)=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Rings_Ocomm__semiring(X1)), inference(split_conjunct,[status(thm)],[i_0_1480]), ['final']).
% 247.18/174.25  cnf(i_0_2597, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3)),X4)=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1481]), ['final']).
% 247.18/174.25  cnf(i_0_2598, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3)),X4)=c_Rings_Oinverse__class_Odivide(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4))|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1482]), ['final']).
% 247.18/174.25  cnf(i_0_2599, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1471]), ['final']).
% 247.18/174.25  cnf(i_0_2600, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1470]), ['final']).
% 247.18/174.25  cnf(i_0_2601, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,X3,X4)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1470]), ['final']).
% 247.18/174.25  cnf(i_0_2602, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,X3,X4)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1471]), ['final']).
% 247.18/174.25  cnf(i_0_2603, plain, (c_Groups_Oplus__class_Oplus(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X5))=c_Groups_Oplus__class_Oplus(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X4))|X1!=X2|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3)), inference(split_conjunct,[status(thm)],[i_0_1372]), ['final']).
% 247.18/174.25  cnf(i_0_2604, plain, (c_Groups_Oplus__class_Oplus(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X5))=c_Groups_Oplus__class_Oplus(X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X1),X5),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X3),X2),X4))|X1!=X2|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X3)), inference(split_conjunct,[status(thm)],[i_0_1373]), ['final']).
% 247.18/174.25  cnf(i_0_2605, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Orderings_Oord__class_Oless(X1,X3,X2)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1471]), ['final']).
% 247.18/174.25  cnf(i_0_2606, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Orderings_Oord__class_Oless(X1,X3,X2)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1470]), ['final']).
% 247.18/174.25  cnf(i_0_2607, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1483]), ['final']).
% 247.18/174.25  cnf(i_0_2608, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4))|~class_Groups_Omonoid__mult(X1)), inference(split_conjunct,[status(thm)],[i_0_1484]), ['final']).
% 247.18/174.25  cnf(i_0_2609, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2),X3),X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X3),X2)), inference(split_conjunct,[status(thm)],[i_0_1485]), ['final']).
% 247.18/174.25  cnf(i_0_2610, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)),X3)=c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),X3)), inference(split_conjunct,[status(thm)],[i_0_1486]), ['final']).
% 247.18/174.25  cnf(i_0_2611, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4)),X3)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1487]), ['final']).
% 247.18/174.25  cnf(i_0_2612, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Odiv(X1,X3,X2)),X4)=c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),X2)|~class_Divides_Osemiring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1488]), ['final']).
% 247.18/174.25  cnf(i_0_2613, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|hAPP(c_Polynomial_Ocoeff(X2,c_Polynomial_Opoly__gcd(X2,X1,X3)),c_Polynomial_Odegree(X2,c_Polynomial_Opoly__gcd(X2,X1,X3)))=c_Groups_Oone__class_Oone(X2)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1460]), ['final']).
% 247.18/174.25  cnf(i_0_2614, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|hAPP(c_Polynomial_Ocoeff(X2,c_Polynomial_Opoly__gcd(X2,X3,X1)),c_Polynomial_Odegree(X2,c_Polynomial_Opoly__gcd(X2,X3,X1)))=c_Groups_Oone__class_Oone(X2)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1460]), ['final']).
% 247.18/174.25  cnf(i_0_2615, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),X3)|~c_Orderings_Oord__class_Oless(X1,X2,c_Rings_Oinverse__class_Odivide(X1,X3,X4))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~class_Fields_Olinordered__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1489]), ['final']).
% 247.18/174.25  cnf(i_0_2616, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),X4)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,c_Rings_Oinverse__class_Odivide(X1,X4,X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1380]), ['final']).
% 247.18/174.25  cnf(i_0_2617, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),X2)|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),X4)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1490]), ['final']).
% 247.18/174.25  cnf(i_0_2618, plain, (c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),X4)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Fields_Olinordered__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1491]), ['final']).
% 247.18/174.25  cnf(i_0_2619, plain, (c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X4)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1379]), ['final']).
% 247.18/174.25  cnf(i_0_2620, plain, (c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,X2,c_Rings_Oinverse__class_Odivide(X1,X3,X4))|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1492]), ['final']).
% 247.18/174.25  cnf(i_0_2621, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),X3)|~c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~class_Fields_Olinordered__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1491]), ['final']).
% 247.18/174.25  cnf(i_0_2622, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X4)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1379]), ['final']).
% 247.18/174.25  cnf(i_0_2623, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),X4)|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))), inference(split_conjunct,[status(thm)],[i_0_1493]), ['final']).
% 247.18/174.25  cnf(i_0_2624, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X3),X2)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1490]), ['final']).
% 247.18/174.25  cnf(i_0_2625, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Rings_Oinverse__class_Odivide(X1,X4,X3))|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Fields_Olinordered__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1489]), ['final']).
% 247.18/174.25  cnf(i_0_2626, plain, (c_Orderings_Oord__class_Oless(X1,X3,c_Rings_Oinverse__class_Odivide(X1,X4,X2))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),X4)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1380]), ['final']).
% 247.18/174.25  cnf(i_0_2627, plain, (c_Orderings_Oord__class_Oless(X1,X3,c_Rings_Oinverse__class_Odivide(X1,X4,X2))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),X4)), inference(split_conjunct,[status(thm)],[i_0_1494]), ['final']).
% 247.18/174.25  cnf(i_0_2628, plain, (c_Orderings_Oord__class_Oless(X1,X3,c_Rings_Oinverse__class_Odivide(X1,X2,X4))|~c_Orderings_Oord__class_Oless(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1492]), ['final']).
% 247.18/174.25  cnf(i_0_2629, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X5=X6|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)|X3!=X4|c_Groups_Oplus__class_Oplus(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5))!=c_Groups_Oplus__class_Oplus(X1,X4,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X6))), inference(split_conjunct,[status(thm)],[i_0_1495]), ['final']).
% 247.18/174.25  cnf(i_0_2630, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1496]), ['final']).
% 247.18/174.25  cnf(i_0_2631, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X3))), inference(split_conjunct,[status(thm)],[i_0_1497]), ['final']).
% 247.18/174.25  cnf(i_0_2632, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1498]), ['final']).
% 247.18/174.25  cnf(i_0_2633, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1499]), ['final']).
% 247.18/174.25  cnf(i_0_2634, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Polynomial_Osmult(X1,X2,X3)),X4)=c_Polynomial_Osmult(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1500]), ['final']).
% 247.18/174.25  cnf(i_0_2635, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),X2,X3)),X4)=c_Groups_Ominus__class_Ominus(X1,hAPP(c_Polynomial_Ocoeff(X1,X2),X4),hAPP(c_Polynomial_Ocoeff(X1,X3),X4))|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1501]), ['final']).
% 247.18/174.25  cnf(i_0_2636, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,X3)),X4)=c_Groups_Oplus__class_Oplus(X1,hAPP(c_Polynomial_Ocoeff(X1,X2),X4),hAPP(c_Polynomial_Ocoeff(X1,X3),X4))|~class_Groups_Ocomm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1502]), ['final']).
% 247.18/174.25  cnf(i_0_2637, plain, (hAPP(c_Polynomial_Opoly(X1,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),X2,X3)),X4)=c_Groups_Ominus__class_Ominus(X1,hAPP(c_Polynomial_Opoly(X1,X2),X4),hAPP(c_Polynomial_Opoly(X1,X3),X4))|~class_Rings_Ocomm__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1503]), ['final']).
% 247.18/174.25  cnf(i_0_2638, plain, (hAPP(c_Polynomial_Opoly(X1,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,X3)),X4)=c_Groups_Oplus__class_Oplus(X1,hAPP(c_Polynomial_Opoly(X1,X2),X4),hAPP(c_Polynomial_Opoly(X1,X3),X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1504]), ['final']).
% 247.18/174.25  cnf(i_0_2639, plain, (hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))), inference(split_conjunct,[status(thm)],[i_0_1399]), ['final']).
% 247.18/174.25  cnf(i_0_2640, plain, (hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))), inference(split_conjunct,[status(thm)],[i_0_1400]), ['final']).
% 247.18/174.25  cnf(i_0_2641, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)),X3)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)), inference(split_conjunct,[status(thm)],[i_0_1505]), ['final']).
% 247.18/174.25  cnf(i_0_2642, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),X3)=c_Divides_Odiv__class_Omod(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3)),X3)), inference(split_conjunct,[status(thm)],[i_0_1506]), ['final']).
% 247.18/174.25  cnf(i_0_2643, plain, (hBOOL(hAPP(X4,X3))|X1!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)|~hBOOL(hAPP(X4,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))), inference(split_conjunct,[status(thm)],[i_0_1399]), ['final']).
% 247.18/174.25  cnf(i_0_2644, plain, (hBOOL(hAPP(X4,X3))|X1!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3)|~hBOOL(hAPP(X4,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))), inference(split_conjunct,[status(thm)],[i_0_1400]), ['final']).
% 247.18/174.25  cnf(i_0_2645, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)),X3)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))), inference(split_conjunct,[status(thm)],[i_0_1507]), ['final']).
% 247.18/174.25  cnf(i_0_2646, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)),X3)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))), inference(split_conjunct,[status(thm)],[i_0_1508]), ['final']).
% 247.18/174.25  cnf(i_0_2647, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)),X3)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))), inference(split_conjunct,[status(thm)],[i_0_1509]), ['final']).
% 247.18/174.25  cnf(i_0_2648, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)),X3)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))), inference(split_conjunct,[status(thm)],[i_0_1510]), ['final']).
% 247.18/174.25  cnf(i_0_2649, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)),X3)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))), inference(split_conjunct,[status(thm)],[i_0_1511]), ['final']).
% 247.18/174.25  cnf(i_0_2650, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)), inference(rw,[status(thm)],[i_0_1512, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2651, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Odiv(X1,X3,X2)),c_Divides_Odiv__class_Omod(X1,X3,X2))=X3|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1513]), ['final']).
% 247.18/174.25  cnf(i_0_2652, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X4)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))), inference(split_conjunct,[status(thm)],[i_0_1514]), ['final']).
% 247.18/174.25  cnf(i_0_2653, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X4)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)), inference(split_conjunct,[status(thm)],[i_0_1515]), ['final']).
% 247.18/174.25  cnf(i_0_2654, plain, (c_Orderings_Oord__class_Oless__eq(X1,X3,X4)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))), inference(split_conjunct,[status(thm)],[i_0_1516]), ['final']).
% 247.18/174.25  cnf(i_0_2655, plain, (c_Orderings_Oord__class_Oless__eq(X1,X3,X4)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)), inference(split_conjunct,[status(thm)],[i_0_1517]), ['final']).
% 247.18/174.25  cnf(i_0_2656, plain, (c_Orderings_Oord__class_Oless(X1,X2,X4)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)), inference(split_conjunct,[status(thm)],[i_0_1518]), ['final']).
% 247.18/174.25  cnf(i_0_2657, plain, (c_Orderings_Oord__class_Oless(X1,X2,X4)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X4,X3))), inference(split_conjunct,[status(thm)],[i_0_1519]), ['final']).
% 247.18/174.25  cnf(i_0_2658, plain, (c_Orderings_Oord__class_Oless(X1,X3,X4)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)), inference(split_conjunct,[status(thm)],[i_0_1520]), ['final']).
% 247.18/174.25  cnf(i_0_2659, plain, (c_Orderings_Oord__class_Oless(X1,X3,X4)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Oplus__class_Oplus(X1,X2,X4))), inference(split_conjunct,[status(thm)],[i_0_1521]), ['final']).
% 247.18/174.25  cnf(i_0_2660, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X2|c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1522, c_0_1298]), c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2661, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1523, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2662, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1524, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2663, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1525, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2664, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Odvd__class_Odvd(X1,X3,X4)|~c_Rings_Odvd__class_Odvd(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1526]), ['final']).
% 247.18/174.25  cnf(i_0_2665, plain, (X3=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Odvd__class_Odvd(X1,X2,X4)|~c_Rings_Odvd__class_Odvd(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1527]), ['final']).
% 247.18/174.25  cnf(i_0_2666, plain, (X2=X3|hAPP(c_Polynomial_Ocoeff(X1,X2),esk5_3(X3,X2,X1))!=hAPP(c_Polynomial_Ocoeff(X1,X3),esk5_3(X3,X2,X1))|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_1528]), ['final']).
% 247.18/174.25  cnf(i_0_2667, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1529]), ['final']).
% 247.18/174.25  cnf(i_0_2668, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,esk13_2(X2,X1)),esk11_2(X2,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X2)|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X1,X1,c_Polynomial_Opoly(X1,X2))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1309]), ['final']).
% 247.18/174.25  cnf(i_0_2669, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[i_0_1409]), ['final']).
% 247.18/174.25  cnf(i_0_2670, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)|X5=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X1,X2,X3)!=c_Divides_Odiv__class_Odiv(X1,X4,X5)|~c_Rings_Odvd__class_Odvd(X1,X5,X4)|~c_Rings_Odvd__class_Odvd(X1,X3,X2)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1530]), ['final']).
% 247.18/174.25  cnf(i_0_2671, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X3))), inference(split_conjunct,[status(thm)],[i_0_1531]), ['final']).
% 247.18/174.25  cnf(i_0_2672, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3),c_Polynomial_OpCons(X1,X4,X3))!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))), inference(split_conjunct,[status(thm)],[i_0_1532]), ['final']).
% 247.18/174.25  cnf(i_0_2673, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(rw,[status(thm)],[i_0_1533, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2674, plain, (c_Divides_Odiv__class_Odiv(X1,X2,X4)=c_Divides_Odiv__class_Odiv(X1,X5,X3)|X3=c_Groups_Ozero__class_Ozero(X1)|X4=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)|~c_Rings_Odvd__class_Odvd(X1,X3,X5)|~c_Rings_Odvd__class_Odvd(X1,X4,X2)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1530]), ['final']).
% 247.18/174.25  cnf(i_0_2675, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))), inference(split_conjunct,[status(thm)],[i_0_1534]), ['final']).
% 247.18/174.25  cnf(i_0_2676, plain, (c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oone__class_Oone(X1),X2)),X3)|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1535]), ['final']).
% 247.18/174.25  cnf(i_0_2677, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1536]), ['final']).
% 247.18/174.25  cnf(i_0_2678, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1537]), ['final']).
% 247.18/174.25  cnf(i_0_2679, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X4),c_Rings_Oinverse__class_Odivide(X1,X2,X4))|~class_Fields_Olinordered__field__inverse__zero(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X4,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1538]), ['final']).
% 247.18/174.25  cnf(i_0_2680, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X4),c_Rings_Oinverse__class_Odivide(X1,X2,X4))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1539]), ['final']).
% 247.18/174.25  cnf(i_0_2681, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,esk19_3(X2,X1,X3))|hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), inference(split_conjunct,[status(thm)],[i_0_1399]), ['final']).
% 247.18/174.25  cnf(i_0_2682, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,esk18_3(X2,X1,X3))|hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))|~hBOOL(hAPP(X3,c_Groups_Ozero__class_Ozero(tc_Nat_Onat)))), inference(split_conjunct,[status(thm)],[i_0_1400]), ['final']).
% 247.18/174.25  cnf(i_0_2683, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))), inference(split_conjunct,[status(thm)],[i_0_1540]), ['final']).
% 247.18/174.25  cnf(i_0_2684, plain, (c_Polynomial_Osmult(X1,X2,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),X3,X4))=c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3),c_Polynomial_Osmult(X1,X2,X4))|~class_Rings_Ocomm__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1541]), ['final']).
% 247.18/174.25  cnf(i_0_2685, plain, (c_Polynomial_Osmult(X1,X2,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X3,X4))=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3),c_Polynomial_Osmult(X1,X2,X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1542]), ['final']).
% 247.18/174.25  cnf(i_0_2686, plain, (c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oone__class_Oone(X1))),X3)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1543]), ['final']).
% 247.18/174.25  cnf(i_0_2687, plain, (c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,X3,c_Groups_Oone__class_Oone(X1))),X2)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1544]), ['final']).
% 247.18/174.25  cnf(i_0_2688, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,esk19_3(X2,X1,X3))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))), inference(split_conjunct,[status(thm)],[i_0_1399]), ['final']).
% 247.18/174.25  cnf(i_0_2689, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,esk18_3(X2,X1,X3))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|hBOOL(hAPP(X3,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)))), inference(split_conjunct,[status(thm)],[i_0_1400]), ['final']).
% 247.18/174.25  cnf(i_0_2690, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Rings_Oordered__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1545]), ['final']).
% 247.18/174.25  cnf(i_0_2691, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~class_Rings_Oordered__comm__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1546]), ['final']).
% 247.18/174.25  cnf(i_0_2692, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~class_Rings_Oordered__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1547]), ['final']).
% 247.18/174.25  cnf(i_0_2693, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1435]), ['final']).
% 247.18/174.25  cnf(i_0_2694, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1548]), ['final']).
% 247.18/174.25  cnf(i_0_2695, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,X4)|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1470]), ['final']).
% 247.18/174.25  cnf(i_0_2696, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1549]), ['final']).
% 247.18/174.25  cnf(i_0_2697, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,X4)|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1471]), ['final']).
% 247.18/174.25  cnf(i_0_2698, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1550]), ['final']).
% 247.18/174.25  cnf(i_0_2699, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~class_Rings_Olinordered__comm__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1551]), ['final']).
% 247.18/174.25  cnf(i_0_2700, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X4)|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1440]), ['final']).
% 247.18/174.25  cnf(i_0_2701, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X4,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1552]), ['final']).
% 247.18/174.25  cnf(i_0_2702, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X4,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1553]), ['final']).
% 247.18/174.25  cnf(i_0_2703, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1441]), ['final']).
% 247.18/174.25  cnf(i_0_2704, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X3,X4)|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1470]), ['final']).
% 247.18/174.25  cnf(i_0_2705, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1554]), ['final']).
% 247.18/174.25  cnf(i_0_2706, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X3,X4)|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1471]), ['final']).
% 247.18/174.25  cnf(i_0_2707, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1442]), ['final']).
% 247.18/174.25  cnf(i_0_2708, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1555]), ['final']).
% 247.18/174.25  cnf(i_0_2709, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X5))|~class_Groups_Oordered__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X5)), inference(split_conjunct,[status(thm)],[i_0_1556]), ['final']).
% 247.18/174.25  cnf(i_0_2710, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X5))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,X4,X5)), inference(split_conjunct,[status(thm)],[i_0_1557]), ['final']).
% 247.18/174.25  cnf(i_0_2711, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X5))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,X5)), inference(split_conjunct,[status(thm)],[i_0_1558]), ['final']).
% 247.18/174.25  cnf(i_0_2712, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X5))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X4,X5)), inference(split_conjunct,[status(thm)],[i_0_1559]), ['final']).
% 247.18/174.25  cnf(i_0_2713, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1560]), ['final']).
% 247.18/174.25  cnf(i_0_2714, plain, (c_Orderings_Oord__class_Oless__eq(X3,hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X2))|~c_Orderings_Oord__class_Oless__eq(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)|~class_Rings_Olinordered__semidom(X3)), inference(split_conjunct,[status(thm)],[i_0_1444]), ['final']).
% 247.18/174.25  cnf(i_0_2715, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X4)), inference(split_conjunct,[status(thm)],[i_0_1561]), ['final']).
% 247.18/174.25  cnf(i_0_2716, plain, (c_Orderings_Oord__class_Oless(X3,hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X3),X4),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(X3,c_Groups_Oone__class_Oone(X3),X4)|~class_Rings_Olinordered__semidom(X3)), inference(split_conjunct,[status(thm)],[i_0_1446]), ['final']).
% 247.18/174.25  cnf(i_0_2717, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk23_3(X1,X2,X3),X1)|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1)))|~hBOOL(hAPP(X3,X2))), inference(split_conjunct,[status(thm)],[i_0_1383]), ['final']).
% 247.18/174.25  cnf(i_0_2718, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X2),X3)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1379]), ['final']).
% 247.18/174.25  cnf(i_0_2719, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,c_Rings_Oinverse__class_Odivide(X1,X4,X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1380]), ['final']).
% 247.18/174.25  cnf(i_0_2720, plain, (c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),c_Polynomial_Omonom(X1,X2,X3),c_Polynomial_Omonom(X1,X4,X3))=c_Polynomial_Omonom(X1,c_Groups_Ominus__class_Ominus(X1,X2,X4),X3)|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1562]), ['final']).
% 247.18/174.25  cnf(i_0_2721, plain, (c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Omonom(X1,X2,X3),c_Polynomial_Omonom(X1,X4,X3))=c_Polynomial_Omonom(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),X3)|~class_Groups_Ocomm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1563]), ['final']).
% 247.18/174.25  cnf(i_0_2722, plain, (c_Polynomial_Osmult(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4)=c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4))|~class_Rings_Ocomm__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1564]), ['final']).
% 247.18/174.25  cnf(i_0_2723, plain, (c_Polynomial_Osmult(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)=c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X4),c_Polynomial_Osmult(X1,X3,X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1565]), ['final']).
% 247.18/174.25  cnf(i_0_2724, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X3,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X1),X2))|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),esk10_3(X2,X1,X3))!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|c_Polynomial_Odegree(tc_Complex_Ocomplex,X3)!=X2), inference(split_conjunct,[status(thm)],[i_0_1566]), ['final']).
% 247.18/174.25  cnf(i_0_2725, plain, (c_Rings_Odvd__class_Odvd(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X5))|~class_Rings_Ocomm__semiring__1(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~c_Rings_Odvd__class_Odvd(X1,X4,X5)), inference(split_conjunct,[status(thm)],[i_0_1567]), ['final']).
% 247.18/174.25  cnf(i_0_2726, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))|~class_Power_Opower(X2)), inference(split_conjunct,[status(thm)],[i_0_1568]), ['final']).
% 247.18/174.25  cnf(i_0_2727, plain, (c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4)=c_Groups_Ominus__class_Ominus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))|~class_RealVector_Oreal__normed__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1569]), ['final']).
% 247.18/174.25  cnf(i_0_2728, plain, (c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X4)=c_Groups_Ominus__class_Ominus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1570]), ['final']).
% 247.18/174.25  cnf(i_0_2729, plain, (c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)=c_Groups_Oplus__class_Oplus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))|~class_RealVector_Oreal__normed__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1571]), ['final']).
% 247.18/174.25  cnf(i_0_2730, plain, (c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)=c_Groups_Oplus__class_Oplus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X4),c_Rings_Oinverse__class_Odivide(X1,X3,X4))|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1572]), ['final']).
% 247.18/174.25  cnf(i_0_2731, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[i_0_1573, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2732, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)), inference(rw,[status(thm)],[i_0_1574, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2733, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X3,X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X3,X2)),c_Polynomial_Odegree(X1,X2))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1575]), ['final']).
% 247.18/174.25  cnf(i_0_2734, plain, (c_Polynomial_Osmult(X1,X2,c_Polynomial_OpCons(X1,X3,X4))=c_Polynomial_OpCons(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Polynomial_Osmult(X1,X2,X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1576]), ['final']).
% 247.18/174.25  cnf(i_0_2735, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X3),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X4))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X3,X4)), inference(split_conjunct,[status(thm)],[i_0_1577]), ['final']).
% 247.18/174.25  cnf(i_0_2736, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1578]), ['final']).
% 247.18/174.25  cnf(i_0_2737, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X4))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)), inference(split_conjunct,[status(thm)],[i_0_1579]), ['final']).
% 247.18/174.25  cnf(i_0_2738, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1580]), ['final']).
% 247.18/174.25  cnf(i_0_2739, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)),X4)=c_Divides_Odiv__class_Omod(X1,X2,X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1581]), ['final']).
% 247.18/174.25  cnf(i_0_2740, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3))!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__ring__strict(X2)), inference(split_conjunct,[status(thm)],[i_0_1582]), ['final']).
% 247.18/174.25  cnf(i_0_2741, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1))!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__ring__strict(X2)), inference(split_conjunct,[status(thm)],[i_0_1582]), ['final']).
% 247.18/174.25  cnf(i_0_2742, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~class_Rings_Ocomm__semiring__1(X1)), inference(rw,[status(thm)],[i_0_1583, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2743, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)|~class_Groups_Omonoid__mult(X1)), inference(rw,[status(thm)],[i_0_1584, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2744, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Omod(X1,X3,X4))|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1585]), ['final']).
% 247.18/174.25  cnf(i_0_2745, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ominus__class_Ominus(X1,X3,X4))=c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1586]), ['final']).
% 247.18/174.25  cnf(i_0_2746, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ominus__class_Ominus(X1,X3,X4))=c_Groups_Ominus__class_Ominus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1587]), ['final']).
% 247.18/174.25  cnf(i_0_2747, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oplus__class_Oplus(X1,X3,X4))=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1588]), ['final']).
% 247.18/174.25  cnf(i_0_2748, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oplus__class_Oplus(X1,X3,X4))=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1589]), ['final']).
% 247.18/174.25  cnf(i_0_2749, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oplus__class_Oplus(X1,X3,X4))=c_Groups_Oplus__class_Oplus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1590]), ['final']).
% 247.18/174.25  cnf(i_0_2750, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))), inference(split_conjunct,[status(thm)],[i_0_1591]), ['final']).
% 247.18/174.25  cnf(i_0_2751, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X2,X3)|X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))), inference(split_conjunct,[status(thm)],[i_0_1592]), ['final']).
% 247.18/174.25  cnf(i_0_2752, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))), inference(split_conjunct,[status(thm)],[i_0_1593]), ['final']).
% 247.18/174.25  cnf(i_0_2753, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X3)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X3),X2))), inference(split_conjunct,[status(thm)],[i_0_1594]), ['final']).
% 247.18/174.25  cnf(i_0_2754, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X3)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X3),X2))), inference(split_conjunct,[status(thm)],[i_0_1595]), ['final']).
% 247.18/174.25  cnf(i_0_2755, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X3)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3),X2))), inference(split_conjunct,[status(thm)],[i_0_1596]), ['final']).
% 247.18/174.25  cnf(i_0_2756, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X3)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X3),X2))), inference(split_conjunct,[status(thm)],[i_0_1597]), ['final']).
% 247.18/174.25  cnf(i_0_2757, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))), inference(split_conjunct,[status(thm)],[i_0_1598]), ['final']).
% 247.18/174.25  cnf(i_0_2758, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1))), inference(split_conjunct,[status(thm)],[i_0_1599]), ['final']).
% 247.18/174.25  cnf(i_0_2759, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X2)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_1600]), ['final']).
% 247.18/174.25  cnf(i_0_2760, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)),c_Groups_Oone__class_Oone(tc_Int_Oint))|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_1601]), ['final']).
% 247.18/174.25  cnf(i_0_2761, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3)))|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1426]), ['final']).
% 247.18/174.25  cnf(i_0_2762, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1602]), ['final']).
% 247.18/174.25  cnf(i_0_2763, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1603]), ['final']).
% 247.18/174.25  cnf(i_0_2764, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))), inference(split_conjunct,[status(thm)],[i_0_1599]), ['final']).
% 247.18/174.25  cnf(i_0_2765, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))), inference(split_conjunct,[status(thm)],[i_0_1598]), ['final']).
% 247.18/174.25  cnf(i_0_2766, plain, (c_Polynomial_Opoly__gcd(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Polynomial_Osmult(X1,c_Rings_Oinverse__class_Oinverse(X1,hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))),X2)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1604]), ['final']).
% 247.18/174.25  cnf(i_0_2767, plain, (c_Polynomial_Opoly__gcd(X2,X3,X1)=c_Polynomial_Osmult(X2,c_Rings_Oinverse__class_Oinverse(X2,hAPP(c_Polynomial_Ocoeff(X2,X3),c_Polynomial_Odegree(X2,X3))),X3)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1605]), ['final']).
% 247.18/174.25  cnf(i_0_2768, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))!=X2), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1606, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2769, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1607]), ['final']).
% 247.18/174.25  cnf(i_0_2770, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Groups_Oab__semigroup__mult(X1)), inference(split_conjunct,[status(thm)],[i_0_1608]), ['final']).
% 247.18/174.25  cnf(i_0_2771, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Groups_Omonoid__mult(X1)), inference(split_conjunct,[status(thm)],[i_0_1609]), ['final']).
% 247.18/174.25  cnf(i_0_2772, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)),X4)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1610]), ['final']).
% 247.18/174.25  cnf(i_0_2773, plain, (hAPP(c_Polynomial_Opoly(X1,c_Polynomial_Omonom(X1,X2,X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X4),X3))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1611]), ['final']).
% 247.18/174.25  cnf(i_0_2774, plain, (X1=c_Polynomial_Osynthetic__div(X2,X3,X4)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),X3,c_Polynomial_Osmult(X2,X4,X1))!=c_Polynomial_OpCons(X2,X5,X1)|~class_Rings_Ocomm__semiring__0(X2)), inference(split_conjunct,[status(thm)],[i_0_1612]), ['final']).
% 247.18/174.25  cnf(i_0_2775, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_OpCons(X1,X2,X3)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X4,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(c_Polynomial_Ocoeff(X1,X3),X4)|~class_Groups_Ozero(X1)), inference(rw,[status(thm)],[i_0_1613, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2776, plain, (hBOOL(hAPP(X2,X3))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X1)))), inference(split_conjunct,[status(thm)],[i_0_1383]), ['final']).
% 247.18/174.25  cnf(i_0_2777, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),c_Divides_Odiv__class_Odiv(X1,X3,X2))=c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3),X2)|~class_Divides_Osemiring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1614]), ['final']).
% 247.18/174.25  cnf(i_0_2778, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))),X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))), inference(rw,[status(thm)],[i_0_1615, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2779, plain, (X2=X3|~class_Rings_Oidom(X1)|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=hAPP(c_Polynomial_Ocoeff(X1,X3),c_Polynomial_Odegree(X1,X3))|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X2)), inference(split_conjunct,[status(thm)],[i_0_1616]), ['final']).
% 247.18/174.25  cnf(i_0_2780, plain, (c_Polynomial_Osynthetic__div(X1,c_Polynomial_OpCons(X1,X2,X3),X4)=c_Polynomial_OpCons(X1,hAPP(c_Polynomial_Opoly(X1,X3),X4),c_Polynomial_Osynthetic__div(X1,X3,X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1617]), ['final']).
% 247.18/174.25  cnf(i_0_2781, plain, (hAPP(c_Polynomial_Opoly(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3)),X4)=hAPP(c_Polynomial_Opoly(X1,X2),c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1618]), ['final']).
% 247.18/174.25  cnf(i_0_2782, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X4)|~class_Groups_Omonoid__mult(X1)), inference(split_conjunct,[status(thm)],[i_0_1619]), ['final']).
% 247.18/174.25  cnf(i_0_2783, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)),X4)=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X4))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1620]), ['final']).
% 247.18/174.25  cnf(i_0_2784, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X3)), inference(split_conjunct,[status(thm)],[i_0_1621]), ['final']).
% 247.18/174.25  cnf(i_0_2785, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1598]), ['final']).
% 247.18/174.25  cnf(i_0_2786, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)), inference(split_conjunct,[status(thm)],[i_0_1622]), ['final']).
% 247.18/174.25  cnf(i_0_2787, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1599]), ['final']).
% 247.18/174.25  cnf(i_0_2788, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)), inference(split_conjunct,[status(thm)],[i_0_1623]), ['final']).
% 247.18/174.25  cnf(i_0_2789, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)), inference(split_conjunct,[status(thm)],[i_0_1496]), ['final']).
% 247.18/174.25  cnf(i_0_2790, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)), inference(split_conjunct,[status(thm)],[i_0_1499]), ['final']).
% 247.18/174.25  cnf(i_0_2791, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))))), inference(split_conjunct,[status(thm)],[i_0_1624]), ['final']).
% 247.18/174.25  cnf(i_0_2792, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))), inference(split_conjunct,[status(thm)],[i_0_1625]), ['final']).
% 247.18/174.25  cnf(i_0_2793, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X3,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)), inference(split_conjunct,[status(thm)],[i_0_1625]), ['final']).
% 247.18/174.25  cnf(i_0_2794, plain, (c_Rings_Odvd__class_Odvd(X1,X2,X3)|~c_Rings_Odvd__class_Odvd(X1,X2,c_Divides_Odiv__class_Omod(X1,X3,X4))|~c_Rings_Odvd__class_Odvd(X1,X2,X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1626]), ['final']).
% 247.18/174.25  cnf(i_0_2795, plain, (c_Rings_Odvd__class_Odvd(X1,X2,X3)|~class_Divides_Osemiring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,c_Divides_Odiv__class_Omod(X1,X3,X4))|~c_Rings_Odvd__class_Odvd(X1,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_1627]), ['final']).
% 247.18/174.25  cnf(i_0_2796, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk23_3(X1,X2,X3),X1)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hBOOL(hAPP(X3,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1)))), inference(split_conjunct,[status(thm)],[i_0_1383]), ['final']).
% 247.18/174.25  cnf(i_0_2797, plain, (c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X3),X4))=c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),X2,X3),X4)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1628]), ['final']).
% 247.18/174.25  cnf(i_0_2798, plain, (X1=hAPP(c_Polynomial_Opoly(X2,X3),X4)|c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X2),X3,c_Polynomial_Osmult(X2,X4,X5))!=c_Polynomial_OpCons(X2,X1,X5)|~class_Rings_Ocomm__semiring__0(X2)), inference(split_conjunct,[status(thm)],[i_0_1612]), ['final']).
% 247.18/174.25  cnf(i_0_2799, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[i_0_1629]), ['final']).
% 247.18/174.25  cnf(i_0_2800, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)), inference(split_conjunct,[status(thm)],[i_0_1630]), ['final']).
% 247.18/174.25  cnf(i_0_2801, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Polynomial_Osmult(X1,X3,X4))=c_Polynomial_Osmult(X1,X3,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1631]), ['final']).
% 247.18/174.25  cnf(i_0_2802, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1632]), ['final']).
% 247.18/174.25  cnf(i_0_2803, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1633]), ['final']).
% 247.18/174.25  cnf(i_0_2804, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1632]), ['final']).
% 247.18/174.25  cnf(i_0_2805, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1632]), ['final']).
% 247.18/174.25  cnf(i_0_2806, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1633]), ['final']).
% 247.18/174.25  cnf(i_0_2807, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1633]), ['final']).
% 247.18/174.25  cnf(i_0_2808, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1634]), ['final']).
% 247.18/174.25  cnf(i_0_2809, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1634]), ['final']).
% 247.18/174.25  cnf(i_0_2810, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1634]), ['final']).
% 247.18/174.25  cnf(i_0_2811, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1634]), ['final']).
% 247.18/174.25  cnf(i_0_2812, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1635]), ['final']).
% 247.18/174.25  cnf(i_0_2813, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1635]), ['final']).
% 247.18/174.25  cnf(i_0_2814, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1635]), ['final']).
% 247.18/174.25  cnf(i_0_2815, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X3,X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1635]), ['final']).
% 247.18/174.25  cnf(i_0_2816, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1632]), ['final']).
% 247.18/174.25  cnf(i_0_2817, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1633]), ['final']).
% 247.18/174.25  cnf(i_0_2818, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_Osmult(X1,X2,X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Polynomial_Ocoeff(X1,X3),X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1636]), ['final']).
% 247.18/174.25  cnf(i_0_2819, plain, (hAPP(c_Polynomial_Opoly(X1,c_Polynomial_Osmult(X1,X2,X3)),X4)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(c_Polynomial_Opoly(X1,X3),X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1637]), ['final']).
% 247.18/174.25  cnf(i_0_2820, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X3),X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X2)), inference(split_conjunct,[status(thm)],[i_0_1638]), ['final']).
% 247.18/174.25  cnf(i_0_2821, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X3),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)), inference(split_conjunct,[status(thm)],[i_0_1639]), ['final']).
% 247.18/174.25  cnf(i_0_2822, plain, (c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X4,X3),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1379]), ['final']).
% 247.18/174.25  cnf(i_0_2823, plain, (c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|c_Orderings_Oord__class_Oless(X1,X2,c_Rings_Oinverse__class_Odivide(X1,X4,X3))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1380]), ['final']).
% 247.18/174.25  cnf(i_0_2824, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1640]), ['final']).
% 247.18/174.25  cnf(i_0_2825, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1640]), ['final']).
% 247.18/174.25  cnf(i_0_2826, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1640]), ['final']).
% 247.18/174.25  cnf(i_0_2827, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1641]), ['final']).
% 247.18/174.25  cnf(i_0_2828, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1641]), ['final']).
% 247.18/174.25  cnf(i_0_2829, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1641]), ['final']).
% 247.18/174.25  cnf(i_0_2830, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1641]), ['final']).
% 247.18/174.25  cnf(i_0_2831, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1640]), ['final']).
% 247.18/174.25  cnf(i_0_2832, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3))|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1642]), ['final']).
% 247.18/174.25  cnf(i_0_2833, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X3))|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1643]), ['final']).
% 247.18/174.25  cnf(i_0_2834, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X3))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))), inference(split_conjunct,[status(thm)],[i_0_1644]), ['final']).
% 247.18/174.25  cnf(i_0_2835, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X3))), inference(split_conjunct,[status(thm)],[i_0_1645]), ['final']).
% 247.18/174.25  cnf(i_0_2836, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X3))=c_Divides_Odiv__class_Omod(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))), inference(split_conjunct,[status(thm)],[i_0_1646]), ['final']).
% 247.18/174.25  cnf(i_0_2837, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))), inference(split_conjunct,[status(thm)],[i_0_1647]), ['final']).
% 247.18/174.25  cnf(i_0_2838, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))), inference(split_conjunct,[status(thm)],[i_0_1648]), ['final']).
% 247.18/174.25  cnf(i_0_2839, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)=c_Divides_Odiv__class_Omod(X1,c_Groups_Ouminus__class_Ouminus(X1,c_Divides_Odiv__class_Omod(X1,X2,X3)),X3)|~class_Divides_Oring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1649]), ['final']).
% 247.18/174.25  cnf(i_0_2840, plain, (hAPP(c_Polynomial_Opoly(X1,c_Polynomial_Opcompose(X1,X2,X3)),X4)=hAPP(c_Polynomial_Opoly(X1,X2),hAPP(c_Polynomial_Opoly(X1,X3),X4))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1650]), ['final']).
% 247.18/174.25  cnf(i_0_2841, plain, (c_Groups_Oplus__class_Oplus(X1,X2,X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1))),X2)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1651]), ['final']).
% 247.18/174.25  cnf(i_0_2842, plain, (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1652]), ['final']).
% 247.18/174.25  cnf(i_0_2843, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_1653, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2844, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_1654, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2845, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Opoly__gcd(X1,X3,X4))|~class_Fields_Ofield(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)), inference(split_conjunct,[status(thm)],[i_0_1655]), ['final']).
% 247.18/174.25  cnf(i_0_2846, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Opoly__gcd(X1,X3,X4))|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 247.18/174.25  cnf(i_0_2847, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1632]), ['final']).
% 247.18/174.25  cnf(i_0_2848, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1632]), ['final']).
% 247.18/174.25  cnf(i_0_2849, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1633]), ['final']).
% 247.18/174.25  cnf(i_0_2850, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1633]), ['final']).
% 247.18/174.25  cnf(i_0_2851, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1657]), ['final']).
% 247.18/174.25  cnf(i_0_2852, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1658]), ['final']).
% 247.18/174.25  cnf(i_0_2853, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1659]), ['final']).
% 247.18/174.25  cnf(i_0_2854, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1660]), ['final']).
% 247.18/174.25  cnf(i_0_2855, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1634]), ['final']).
% 247.18/174.25  cnf(i_0_2856, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1661]), ['final']).
% 247.18/174.25  cnf(i_0_2857, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1635]), ['final']).
% 247.18/174.25  cnf(i_0_2858, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1662]), ['final']).
% 247.18/174.25  cnf(i_0_2859, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1663]), ['final']).
% 247.18/174.25  cnf(i_0_2860, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1664]), ['final']).
% 247.18/174.25  cnf(i_0_2861, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X3))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1665]), ['final']).
% 247.18/174.25  cnf(i_0_2862, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1634]), ['final']).
% 247.18/174.25  cnf(i_0_2863, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1635]), ['final']).
% 247.18/174.25  cnf(i_0_2864, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Odivide(X1,X2,X3))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1666]), ['final']).
% 247.18/174.25  cnf(i_0_2865, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))), inference(split_conjunct,[status(thm)],[i_0_1667]), ['final']).
% 247.18/174.25  cnf(i_0_2866, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3))), inference(split_conjunct,[status(thm)],[i_0_1668]), ['final']).
% 247.18/174.25  cnf(i_0_2867, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))), inference(split_conjunct,[status(thm)],[i_0_1669]), ['final']).
% 247.18/174.25  cnf(i_0_2868, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X2)),X3)=hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))), inference(split_conjunct,[status(thm)],[i_0_1670]), ['final']).
% 247.18/174.25  cnf(i_0_2869, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Oordered__cancel__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1671]), ['final']).
% 247.18/174.25  cnf(i_0_2870, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Rings_Oordered__cancel__semiring(X1)), inference(split_conjunct,[status(thm)],[i_0_1672]), ['final']).
% 247.18/174.25  cnf(i_0_2871, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Oordered__cancel__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1673]), ['final']).
% 247.18/174.25  cnf(i_0_2872, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Oordered__cancel__semiring(X1)), inference(split_conjunct,[status(thm)],[i_0_1672]), ['final']).
% 247.18/174.25  cnf(i_0_2873, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1640]), ['final']).
% 247.18/174.25  cnf(i_0_2874, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1640]), ['final']).
% 247.18/174.25  cnf(i_0_2875, plain, (c_Orderings_Oord__class_Oless__eq(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Oordered__cancel__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1674]), ['final']).
% 247.18/174.25  cnf(i_0_2876, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1675]), ['final']).
% 247.18/174.25  cnf(i_0_2877, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1676]), ['final']).
% 247.18/174.25  cnf(i_0_2878, plain, (c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1677]), ['final']).
% 247.18/174.25  cnf(i_0_2879, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__cancel__semiring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1678]), ['final']).
% 247.18/174.25  cnf(i_0_2880, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Rings_Oordered__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1679]), ['final']).
% 247.18/174.25  cnf(i_0_2881, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X3)|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1641]), ['final']).
% 247.18/174.25  cnf(i_0_2882, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1680]), ['final']).
% 247.18/174.25  cnf(i_0_2883, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__semiring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X3)), inference(split_conjunct,[status(thm)],[i_0_1681]), ['final']).
% 247.18/174.25  cnf(i_0_2884, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Oordered__ring(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1682]), ['final']).
% 247.18/174.25  cnf(i_0_2885, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Oordered__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1679]), ['final']).
% 247.18/174.25  cnf(i_0_2886, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__ring__strict(X1)), inference(split_conjunct,[status(thm)],[i_0_1641]), ['final']).
% 247.18/174.25  cnf(i_0_2887, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Olinordered__ring__strict(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1683]), ['final']).
% 247.18/174.25  cnf(i_0_2888, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Groups_Oordered__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1684]), ['final']).
% 247.18/174.25  cnf(i_0_2889, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X4))|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)), inference(split_conjunct,[status(thm)],[i_0_1515]), ['final']).
% 247.18/174.25  cnf(i_0_2890, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X4,X2),c_Groups_Oplus__class_Oplus(X1,X4,X3))|~class_Groups_Oordered__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1685]), ['final']).
% 247.18/174.25  cnf(i_0_2891, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X4,X2),c_Groups_Oplus__class_Oplus(X1,X4,X3))|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)), inference(split_conjunct,[status(thm)],[i_0_1517]), ['final']).
% 247.18/174.25  cnf(i_0_2892, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1686]), ['final']).
% 247.18/174.25  cnf(i_0_2893, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),c_Groups_Oplus__class_Oplus(X1,X3,X4))|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)), inference(split_conjunct,[status(thm)],[i_0_1518]), ['final']).
% 247.18/174.25  cnf(i_0_2894, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X4,X2),c_Groups_Oplus__class_Oplus(X1,X4,X3))|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1687]), ['final']).
% 247.18/174.25  cnf(i_0_2895, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X4,X2),c_Groups_Oplus__class_Oplus(X1,X4,X3))|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)), inference(split_conjunct,[status(thm)],[i_0_1520]), ['final']).
% 247.18/174.25  cnf(i_0_2896, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Divides_Odiv__class_Odiv(X1,X3,X2)),X2)=X3|~class_Divides_Osemiring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1688]), ['final']).
% 247.18/174.25  cnf(i_0_2897, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)),X2)=c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1689]), ['final']).
% 247.18/174.25  cnf(i_0_2898, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X3)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3,X1)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1690]), ['final']).
% 247.18/174.25  cnf(i_0_2899, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1691, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2900, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1692, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2901, plain, (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),esk10_3(X2,X3,X1))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),X1,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),X3),X2))|c_Polynomial_Odegree(tc_Complex_Ocomplex,X1)!=X2), inference(split_conjunct,[status(thm)],[i_0_1566]), ['final']).
% 247.18/174.25  cnf(i_0_2902, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X3)), inference(split_conjunct,[status(thm)],[i_0_1693]), ['final']).
% 247.18/174.25  cnf(i_0_2903, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1)=c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X1)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,X3))), inference(split_conjunct,[status(thm)],[i_0_1694]), ['final']).
% 247.18/174.25  cnf(i_0_2904, plain, (c_Rings_Odvd__class_Odvd(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1527]), ['final']).
% 247.18/174.25  cnf(i_0_2905, plain, (c_Rings_Odvd__class_Odvd(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1526]), ['final']).
% 247.18/174.25  cnf(i_0_2906, plain, (c_Rings_Odvd__class_Odvd(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X3),X4))|~class_Rings_Ocomm__semiring__1(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1695]), ['final']).
% 247.18/174.25  cnf(i_0_2907, plain, (c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X4)), inference(split_conjunct,[status(thm)],[i_0_1696]), ['final']).
% 247.18/174.25  cnf(i_0_2908, plain, (c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Oplus__class_Oplus(X1,X4,X2))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X4)), inference(split_conjunct,[status(thm)],[i_0_1697]), ['final']).
% 247.18/174.25  cnf(i_0_2909, plain, (c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))|~class_Groups_Oordered__comm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,X3,X4)), inference(split_conjunct,[status(thm)],[i_0_1698]), ['final']).
% 247.18/174.25  cnf(i_0_2910, plain, (c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X3,X4)), inference(split_conjunct,[status(thm)],[i_0_1699]), ['final']).
% 247.18/174.25  cnf(i_0_2911, plain, (c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3),X4)=c_Polynomial_Osmult(X1,X2,c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),X3,X4))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1700]), ['final']).
% 247.18/174.25  cnf(i_0_2912, plain, (c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3),X4)=c_Polynomial_Osmult(X1,X2,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X3,X4))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1701]), ['final']).
% 247.18/174.25  cnf(i_0_2913, plain, (X1=X2|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1702]), ['final']).
% 247.18/174.25  cnf(i_0_2914, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X1),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X3,X2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1703]), ['final']).
% 247.18/174.25  cnf(i_0_2915, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X3),c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1704]), ['final']).
% 247.18/174.25  cnf(i_0_2916, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1705]), ['final']).
% 247.18/174.25  cnf(i_0_2917, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1534]), ['final']).
% 247.18/174.25  cnf(i_0_2918, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk15_2(X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1706, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2919, plain, (c_Rings_Odvd__class_Odvd(X1,X2,c_Divides_Odiv__class_Omod(X1,X3,X4))|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~c_Rings_Odvd__class_Odvd(X1,X2,X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1626]), ['final']).
% 247.18/174.25  cnf(i_0_2920, plain, (c_Rings_Odvd__class_Odvd(X1,X2,c_Divides_Odiv__class_Omod(X1,X3,X4))|~class_Divides_Osemiring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~c_Rings_Odvd__class_Odvd(X1,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_1707]), ['final']).
% 247.18/174.25  cnf(i_0_2921, plain, (c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Ominus__class_Ominus(X1,X3,X4))|~class_Rings_Ocomm__ring__1(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~c_Rings_Odvd__class_Odvd(X1,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_1708]), ['final']).
% 247.18/174.25  cnf(i_0_2922, plain, (c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Rings_Ocomm__semiring__1(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~c_Rings_Odvd__class_Odvd(X1,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_1709]), ['final']).
% 247.18/174.25  cnf(i_0_2923, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X2)=c_Groups_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Odiv(X1,X3,X2),c_Groups_Oone__class_Oone(X1))|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1710]), ['final']).
% 247.18/174.25  cnf(i_0_2924, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X1,c_Groups_Oplus__class_Oplus(X1,X3,X2),X2)=c_Groups_Oplus__class_Oplus(X1,c_Divides_Odiv__class_Odiv(X1,X3,X2),c_Groups_Oone__class_Oone(X1))|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1711]), ['final']).
% 247.18/174.25  cnf(i_0_2925, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_1712, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2926, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,esk15_2(X1,X2),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_1713, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2927, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)=c_Divides_Odiv__class_Omod(X1,c_Groups_Ouminus__class_Ouminus(X1,X4),X3)|~class_Divides_Oring__div(X1)|c_Divides_Odiv__class_Omod(X1,X2,X3)!=c_Divides_Odiv__class_Omod(X1,X4,X3)), inference(split_conjunct,[status(thm)],[i_0_1714]), ['final']).
% 247.18/174.25  cnf(i_0_2928, plain, (c_Polynomial_Omonom(X1,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),c_Polynomial_Omonom(X1,X2,X3))|~class_Groups_Ozero(X1)), inference(rw,[status(thm)],[i_0_1715, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2929, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)), inference(split_conjunct,[status(thm)],[i_0_1630]), ['final']).
% 247.18/174.25  cnf(i_0_2930, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)), inference(split_conjunct,[status(thm)],[i_0_1716]), ['final']).
% 247.18/174.25  cnf(i_0_2931, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[i_0_1629]), ['final']).
% 247.18/174.25  cnf(i_0_2932, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)), inference(split_conjunct,[status(thm)],[i_0_1717]), ['final']).
% 247.18/174.25  cnf(i_0_2933, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)), inference(split_conjunct,[status(thm)],[i_0_1718]), ['final']).
% 247.18/174.25  cnf(i_0_2934, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),X3,X4)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),c_Polynomial_Osmult(X2,X1,X3),X4)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1719]), ['final']).
% 247.18/174.25  cnf(i_0_2935, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)|X3=c_Groups_Ozero__class_Ozero(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Osmult(X1,X3,X4))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1720]), ['final']).
% 247.18/174.25  cnf(i_0_2936, plain, (X3=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X4)|~class_Fields_Ofield(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Osmult(X1,X3,X4))), inference(split_conjunct,[status(thm)],[i_0_1721]), ['final']).
% 247.18/174.25  cnf(i_0_2937, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))),X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1722, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2938, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|X1!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1723, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2939, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X2)), inference(split_conjunct,[status(thm)],[i_0_1724]), ['final']).
% 247.18/174.25  cnf(i_0_2940, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X1),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)), inference(split_conjunct,[status(thm)],[i_0_1725]), ['final']).
% 247.18/174.25  cnf(i_0_2941, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)), inference(split_conjunct,[status(thm)],[i_0_1726]), ['final']).
% 247.18/174.25  cnf(i_0_2942, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X3,X4)|~class_Rings_Ocomm__semiring__1(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3),X4)), inference(split_conjunct,[status(thm)],[i_0_1727]), ['final']).
% 247.18/174.25  cnf(i_0_2943, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Opoly__gcd(X1,X3,X4))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 247.18/174.25  cnf(i_0_2944, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Opoly__gcd(X1,X4,X3))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1656]), ['final']).
% 247.18/174.25  cnf(i_0_2945, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1728]), ['final']).
% 247.18/174.25  cnf(i_0_2946, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1729]), ['final']).
% 247.18/174.25  cnf(i_0_2947, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1730]), ['final']).
% 247.18/174.25  cnf(i_0_2948, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1731]), ['final']).
% 247.18/174.25  cnf(i_0_2949, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1732]), ['final']).
% 247.18/174.25  cnf(i_0_2950, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(rw,[status(thm)],[i_0_1733, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2951, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)=c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X4),X3)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1734]), ['final']).
% 247.18/174.25  cnf(i_0_2952, plain, (c_Polynomial_Opoly__gcd(X1,c_Polynomial_Opoly__gcd(X1,X2,X3),X4)=c_Polynomial_Opoly__gcd(X1,X2,c_Polynomial_Opoly__gcd(X1,X3,X4))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1735]), ['final']).
% 247.18/174.25  cnf(i_0_2953, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)=c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1736]), ['final']).
% 247.18/174.25  cnf(i_0_2954, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)=c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))|~class_Groups_Oab__semigroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1737]), ['final']).
% 247.18/174.25  cnf(i_0_2955, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))=c_Groups_Oplus__class_Oplus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X4)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1738]), ['final']).
% 247.18/174.25  cnf(i_0_2956, plain, (c_Polynomial_Opoly__gcd(X1,X2,c_Polynomial_Opoly__gcd(X1,X3,X4))=c_Polynomial_Opoly__gcd(X1,X3,c_Polynomial_Opoly__gcd(X1,X2,X4))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1739]), ['final']).
% 247.18/174.25  cnf(i_0_2957, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,X3,X4))=c_Groups_Oplus__class_Oplus(X1,X3,c_Groups_Oplus__class_Oplus(X1,X2,X4))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1740]), ['final']).
% 247.18/174.25  cnf(i_0_2958, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X3)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3,X1)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1690]), ['final']).
% 247.18/174.25  cnf(i_0_2959, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1741, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2960, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Divides_Odiv__class_Odiv(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4))=c_Divides_Odiv__class_Odiv(X2,X3,X4)|~class_Divides_Osemiring__div(X2)), inference(split_conjunct,[status(thm)],[i_0_1742]), ['final']).
% 247.18/174.25  cnf(i_0_2961, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=c_Divides_Odiv__class_Odiv(X1,X3,X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1743]), ['final']).
% 247.18/174.25  cnf(i_0_2962, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))=c_Divides_Odiv__class_Odiv(X1,X3,X4)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1744]), ['final']).
% 247.18/174.25  cnf(i_0_2963, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Odivide(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))=c_Rings_Oinverse__class_Odivide(X1,X3,X4)|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1745]), ['final']).
% 247.18/174.25  cnf(i_0_2964, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Odivide(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2))=c_Rings_Oinverse__class_Odivide(X1,X3,X4)|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1746]), ['final']).
% 247.18/174.25  cnf(i_0_2965, plain, (c_Orderings_Oord__class_Oless(X1,X3,X2)|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Rings_Oinverse__class_Oinverse(X1,X3))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1747]), ['final']).
% 247.18/174.25  cnf(i_0_2966, plain, (c_Orderings_Oord__class_Oless(X1,X3,X2)|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Rings_Oinverse__class_Oinverse(X1,X3))|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1748]), ['final']).
% 247.18/174.25  cnf(i_0_2967, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1749]), ['final']).
% 247.18/174.25  cnf(i_0_2968, plain, (c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1750]), ['final']).
% 247.18/174.25  cnf(i_0_2969, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1751, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2970, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1752, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2971, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)), inference(rw,[status(thm)],[i_0_1753, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2972, plain, (c_Polynomial_Osmult(X1,X2,c_Polynomial_Osmult(X1,X3,X4))=c_Polynomial_Osmult(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1754]), ['final']).
% 247.18/174.25  cnf(i_0_2973, plain, (c_Polynomial_Osmult(X1,X2,c_Polynomial_Omonom(X1,X3,X4))=c_Polynomial_Omonom(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1755]), ['final']).
% 247.18/174.25  cnf(i_0_2974, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X3))|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1756]), ['final']).
% 247.18/174.25  cnf(i_0_2975, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3))|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1757]), ['final']).
% 247.18/174.25  cnf(i_0_2976, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)), inference(split_conjunct,[status(thm)],[i_0_1758]), ['final']).
% 247.18/174.25  cnf(i_0_2977, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Power_Opower(X1)), inference(rw,[status(thm)],[i_0_1759, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2978, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Ocomm__semiring__1(X1)), inference(rw,[status(thm)],[i_0_1760, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2979, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~class_Rings_Ocomm__semiring__1(X1)), inference(rw,[status(thm)],[i_0_1761, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2980, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X2,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X3))|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Divides_Odiv__class_Omod(tc_Int_Oint,X3,X2)), inference(split_conjunct,[status(thm)],[i_0_1694]), ['final']).
% 247.18/174.25  cnf(i_0_2981, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Rings_Oinverse__class_Odivide(X1,X3,X4))=c_Rings_Oinverse__class_Odivide(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1762]), ['final']).
% 247.18/174.25  cnf(i_0_2982, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1763, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2983, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1764, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2984, plain, (c_Polynomial_Opos__poly(X1,X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2)))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1765]), ['final']).
% 247.18/174.25  cnf(i_0_2985, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X3),X2))|X3=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1592]), ['final']).
% 247.18/174.25  cnf(i_0_2986, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Int_Oint),X2),X3))|X3=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1594]), ['final']).
% 247.18/174.25  cnf(i_0_2987, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X3))|X3=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1597]), ['final']).
% 247.18/174.25  cnf(i_0_2988, plain, (c_Orderings_Oord__class_Oless__eq(X1,X4,X5)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|c_Groups_Ominus__class_Ominus(X1,X2,X3)!=c_Groups_Ominus__class_Ominus(X1,X4,X5)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1766]), ['final']).
% 247.18/174.25  cnf(i_0_2989, plain, (c_Orderings_Oord__class_Oless__eq(X1,X4,X5)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|c_Groups_Ominus__class_Ominus(X1,X4,X5)!=c_Groups_Ominus__class_Ominus(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1766]), ['final']).
% 247.18/174.25  cnf(i_0_2990, plain, (c_Orderings_Oord__class_Oless(X1,X4,X5)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Groups_Ominus__class_Ominus(X1,X2,X3)!=c_Groups_Ominus__class_Ominus(X1,X4,X5)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1767]), ['final']).
% 247.18/174.25  cnf(i_0_2991, plain, (c_Orderings_Oord__class_Oless(X1,X4,X5)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Groups_Ominus__class_Ominus(X1,X4,X5)!=c_Groups_Ominus__class_Ominus(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1767]), ['final']).
% 247.18/174.25  cnf(i_0_2992, plain, (c_Polynomial_Odegree(X1,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,X3))=c_Polynomial_Odegree(X1,X3)|~class_Groups_Ocomm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Polynomial_Odegree(X1,X3))), inference(split_conjunct,[status(thm)],[i_0_1768]), ['final']).
% 247.18/174.25  cnf(i_0_2993, plain, (c_Polynomial_Odegree(X1,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X3,X2))=c_Polynomial_Odegree(X1,X3)|~class_Groups_Ocomm__monoid__add(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Polynomial_Odegree(X1,X3))), inference(split_conjunct,[status(thm)],[i_0_1769]), ['final']).
% 247.18/174.25  cnf(i_0_2994, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)), inference(split_conjunct,[status(thm)],[i_0_1770]), ['final']).
% 247.18/174.25  cnf(i_0_2995, plain, (X2=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1771]), ['final']).
% 247.18/174.25  cnf(i_0_2996, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2))|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1593]), ['final']).
% 247.18/174.25  cnf(i_0_2997, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X4))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1772]), ['final']).
% 247.18/174.25  cnf(i_0_2998, plain, (c_Nat_Osize__class_Osize(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_Osize__class_Osize(tc_Nat_Onat,X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1773, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_2999, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1774]), ['final']).
% 247.18/174.25  cnf(i_0_3000, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1775]), ['final']).
% 247.18/174.25  cnf(i_0_3001, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2)), inference(split_conjunct,[status(thm)],[i_0_1776]), ['final']).
% 247.18/174.25  cnf(i_0_3002, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X3)=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))), inference(split_conjunct,[status(thm)],[i_0_1777]), ['final']).
% 247.18/174.25  cnf(i_0_3003, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2),X3)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))), inference(split_conjunct,[status(thm)],[i_0_1778]), ['final']).
% 247.18/174.25  cnf(i_0_3004, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))), inference(split_conjunct,[status(thm)],[i_0_1779]), ['final']).
% 247.18/174.25  cnf(i_0_3005, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X3))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X3))), inference(split_conjunct,[status(thm)],[i_0_1780]), ['final']).
% 247.18/174.25  cnf(i_0_3006, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3))), inference(split_conjunct,[status(thm)],[i_0_1781]), ['final']).
% 247.18/174.25  cnf(i_0_3007, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|X1=X2|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))), inference(split_conjunct,[status(thm)],[i_0_1782]), ['final']).
% 247.18/174.25  cnf(i_0_3008, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_1783, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3009, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_1784, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3010, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_1785, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3011, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_1786, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3012, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)), inference(rw,[status(thm)],[i_0_1787, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3013, plain, (c_Divides_Odiv__class_Omod(X1,c_Divides_Odiv__class_Omod(X1,X4,X3),X2)=c_Divides_Odiv__class_Omod(X1,X4,X2)|~class_Divides_Osemiring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1788]), ['final']).
% 247.18/174.25  cnf(i_0_3014, plain, (c_Rings_Odvd__class_Odvd(X1,X2,X4)|~class_Rings_Ocomm__semiring__1(X1)|~c_Rings_Odvd__class_Odvd(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)), inference(split_conjunct,[status(thm)],[i_0_1789]), ['final']).
% 247.18/174.25  cnf(i_0_3015, plain, (c_Rings_Odvd__class_Odvd(X1,X3,X4)|~class_Rings_Ocomm__semiring__1(X1)|~c_Rings_Odvd__class_Odvd(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X4)), inference(split_conjunct,[status(thm)],[i_0_1790]), ['final']).
% 247.18/174.25  cnf(i_0_3016, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))), inference(split_conjunct,[status(thm)],[i_0_1791]), ['final']).
% 247.18/174.25  cnf(i_0_3017, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)|X1!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[i_0_1792, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3018, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X3)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3,X1)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1793]), ['final']).
% 247.18/174.25  cnf(i_0_3019, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3,X1)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1794]), ['final']).
% 247.18/174.25  cnf(i_0_3020, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[i_0_1795]), ['final']).
% 247.18/174.25  cnf(i_0_3021, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 247.18/174.25  cnf(i_0_3022, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1797, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3023, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X3,X4)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X4)), inference(split_conjunct,[status(thm)],[i_0_1798]), ['final']).
% 247.18/174.25  cnf(i_0_3024, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X3)), inference(split_conjunct,[status(thm)],[i_0_1799]), ['final']).
% 247.18/174.25  cnf(i_0_3025, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))), inference(split_conjunct,[status(thm)],[i_0_1800]), ['final']).
% 247.18/174.25  cnf(i_0_3026, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Odegree(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Polynomial_Odegree(X1,X3))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1801]), ['final']).
% 247.18/174.25  cnf(i_0_3027, plain, (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2),X3)), inference(split_conjunct,[status(thm)],[i_0_1802]), ['final']).
% 247.18/174.25  cnf(i_0_3028, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))), inference(rw,[status(thm)],[i_0_1803, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3029, plain, (X2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1804, c_0_1298]), c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3030, plain, (X2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1805, c_0_1298]), c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3031, plain, (X2=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,esk17_2(X2,X1)),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(rw,[status(thm)],[i_0_1806, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3032, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Oplus__class_Oplus(X2,X1,X3)!=c_Groups_Ozero__class_Ozero(X2)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X3)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)|~class_Groups_Oordered__comm__monoid__add(X2)), inference(split_conjunct,[status(thm)],[i_0_1807]), ['final']).
% 247.18/174.25  cnf(i_0_3033, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Groups_Oplus__class_Oplus(X2,X3,X1)!=c_Groups_Ozero__class_Ozero(X2)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X3)|~class_Groups_Oordered__comm__monoid__add(X2)), inference(split_conjunct,[status(thm)],[i_0_1807]), ['final']).
% 247.18/174.25  cnf(i_0_3034, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Oinverse(X1,X3),c_Rings_Oinverse__class_Oinverse(X1,X2))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1808]), ['final']).
% 247.18/174.25  cnf(i_0_3035, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Oinverse(X1,X3),c_Rings_Oinverse__class_Oinverse(X1,X2))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1809]), ['final']).
% 247.18/174.25  cnf(i_0_3036, plain, (c_Divides_Odiv__class_Odiv(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)=c_Groups_Ouminus__class_Ouminus(X1,c_Divides_Odiv__class_Odiv(X1,X3,X2))|~class_Divides_Oring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1810]), ['final']).
% 247.18/174.25  cnf(i_0_3037, plain, (c_Divides_Odiv__class_Odiv(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))=c_Groups_Ouminus__class_Ouminus(X1,c_Divides_Odiv__class_Odiv(X1,X3,X2))|~class_Divides_Oring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1811]), ['final']).
% 247.18/174.25  cnf(i_0_3038, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|X2!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|X1!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1812, c_0_1298]), c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3039, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X5)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)|X5=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Odivide(X1,X2,X3)!=c_Rings_Oinverse__class_Odivide(X1,X4,X5)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1813]), ['final']).
% 247.18/174.25  cnf(i_0_3040, plain, (hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X3,X1)))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~hBOOL(hAPP(X2,X3))), inference(split_conjunct,[status(thm)],[i_0_1383]), ['final']).
% 247.18/174.25  cnf(i_0_3041, plain, (c_Rings_Oinverse__class_Odivide(X1,X2,X5)=c_Rings_Oinverse__class_Odivide(X1,X4,X3)|X3=c_Groups_Ozero__class_Ozero(X1)|X5=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X5)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1813]), ['final']).
% 247.18/174.25  cnf(i_0_3042, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X1!=c_Groups_Ozero__class_Ozero(X2)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),c_Polynomial_Osmult(X2,X1,X4),X3)|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1719]), ['final']).
% 247.18/174.25  cnf(i_0_3043, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2))), inference(split_conjunct,[status(thm)],[i_0_1814]), ['final']).
% 247.18/174.25  cnf(i_0_3044, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2))), inference(split_conjunct,[status(thm)],[i_0_1815]), ['final']).
% 247.18/174.25  cnf(i_0_3045, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))=c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1816]), ['final']).
% 247.18/174.25  cnf(i_0_3046, plain, (c_Nat_Onat_Onat__size(c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Nat_Onat_Onat__size(X1),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1817, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3047, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X4,X2),X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|X3!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1719]), ['final']).
% 247.18/174.25  cnf(i_0_3048, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X2)=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X2,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))), inference(split_conjunct,[status(thm)],[i_0_1818]), ['final']).
% 247.18/174.25  cnf(i_0_3049, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2),X2)), inference(split_conjunct,[status(thm)],[i_0_1819]), ['final']).
% 247.18/174.25  cnf(i_0_3050, plain, (c_Groups_Oplus__class_Oplus(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3))=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|X3!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__ring__strict(X2)), inference(split_conjunct,[status(thm)],[i_0_1582]), ['final']).
% 247.18/174.25  cnf(i_0_3051, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2))), inference(split_conjunct,[status(thm)],[i_0_1758]), ['final']).
% 247.18/174.25  cnf(i_0_3052, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1))), inference(split_conjunct,[status(thm)],[i_0_1758]), ['final']).
% 247.18/174.25  cnf(i_0_3053, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oone__class_Oone(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1820]), ['final']).
% 247.18/174.25  cnf(i_0_3054, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oone__class_Oone(X1))), inference(split_conjunct,[status(thm)],[i_0_1821]), ['final']).
% 247.18/174.25  cnf(i_0_3055, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X2)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_1600]), ['final']).
% 247.18/174.25  cnf(i_0_3056, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2))|X2=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_1601]), ['final']).
% 247.18/174.25  cnf(i_0_3057, plain, (c_Divides_Odiv__class_Odiv(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4))=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Divides_Osemiring__div(X2)), inference(split_conjunct,[status(thm)],[i_0_1742]), ['final']).
% 247.18/174.25  cnf(i_0_3058, plain, (c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),X3,X2)|~c_Polynomial_Opos__poly(X1,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),X2,X3))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1822]), ['final']).
% 247.18/174.25  cnf(i_0_3059, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X3)=c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1823]), ['final']).
% 247.18/174.25  cnf(i_0_3060, plain, (X4=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X4,X2),X3)|~class_Fields_Ofield(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1824]), ['final']).
% 247.18/174.25  cnf(i_0_3061, plain, (X4=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X4,X2),X3)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1719]), ['final']).
% 247.18/174.25  cnf(i_0_3062, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Osmult(X1,X4,X3))|X4=c_Groups_Ozero__class_Ozero(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1720]), ['final']).
% 247.18/174.25  cnf(i_0_3063, plain, (c_Rings_Odvd__class_Odvd(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4))|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Oidom(X2)), inference(split_conjunct,[status(thm)],[i_0_1526]), ['final']).
% 247.18/174.25  cnf(i_0_3064, plain, (c_Rings_Odvd__class_Odvd(X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X4),X1))|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Oidom(X2)), inference(split_conjunct,[status(thm)],[i_0_1527]), ['final']).
% 247.18/174.25  cnf(i_0_3065, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X3)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1793]), ['final']).
% 247.18/174.25  cnf(i_0_3066, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3,X1)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X3,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1794]), ['final']).
% 247.18/174.25  cnf(i_0_3067, plain, (c_Groups_Oplus__class_Oplus(X2,X1,X3)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|X3!=c_Groups_Ozero__class_Ozero(X2)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X3)|~c_Orderings_Oord__class_Oless__eq(X2,c_Groups_Ozero__class_Ozero(X2),X1)|~class_Groups_Oordered__comm__monoid__add(X2)), inference(split_conjunct,[status(thm)],[i_0_1807]), ['final']).
% 247.18/174.25  cnf(i_0_3068, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Polynomial_Opos__poly(X1,X3)|~c_Polynomial_Opos__poly(X1,c_Polynomial_OpCons(X1,X2,X3))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1825]), ['final']).
% 247.18/174.25  cnf(i_0_3069, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,c_Polynomial_Osmult(X1,X4,X3))|~class_Rings_Ocomm__semiring__1(X1)|~c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1826]), ['final']).
% 247.18/174.25  cnf(i_0_3070, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1730]), ['final']).
% 247.18/174.25  cnf(i_0_3071, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1731]), ['final']).
% 247.18/174.25  cnf(i_0_3072, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Oplus__class_Oplus(X1,X2,X2),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1732]), ['final']).
% 247.18/174.25  cnf(i_0_3073, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1728]), ['final']).
% 247.18/174.25  cnf(i_0_3074, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,X2,X2))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1729]), ['final']).
% 247.18/174.25  cnf(i_0_3075, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_1827, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3076, plain, (X3=X4|hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)!=hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X4)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),X2)|~class_Rings_Olinordered__semidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1828]), ['final']).
% 247.18/174.25  cnf(i_0_3077, plain, (X1=X2|hAPP(c_Polynomial_Ocoeff(X3,c_Polynomial_Omonom(X3,X4,X1)),X2)=c_Groups_Ozero__class_Ozero(X3)|~class_Groups_Ozero(X3)), inference(split_conjunct,[status(thm)],[i_0_1829]), ['final']).
% 247.18/174.25  cnf(i_0_3078, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_1830, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3079, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1831]), ['final']).
% 247.18/174.25  cnf(i_0_3080, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1832]), ['final']).
% 247.18/174.25  cnf(i_0_3081, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))|~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1833]), ['final']).
% 247.18/174.25  cnf(i_0_3082, plain, (hAPP(c_Polynomial_Ocoeff(X3,c_Polynomial_Omonom(X3,X4,X1)),X2)=X4|X1!=X2|~class_Groups_Ozero(X3)), inference(split_conjunct,[status(thm)],[i_0_1829]), ['final']).
% 247.18/174.25  cnf(i_0_3083, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Polynomial_OpCons(X1,X2,X3)),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_1834]), ['final']).
% 247.18/174.25  cnf(i_0_3084, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Oinverse(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X3)),c_Rings_Oinverse__class_Oinverse(X1,X2))|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1835]), ['final']).
% 247.18/174.25  cnf(i_0_3085, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|X1!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1836, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3086, plain, (~class_Rings_Olinordered__ring(X1)|~c_Orderings_Oord__class_Oless(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2),c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1837]), ['final']).
% 247.18/174.25  cnf(i_0_3087, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2)), inference(split_conjunct,[status(thm)],[i_0_1838]), ['final']).
% 247.18/174.25  cnf(i_0_3088, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)=c_Divides_Odiv__class_Omod(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2),X2)), inference(split_conjunct,[status(thm)],[i_0_1839]), ['final']).
% 247.18/174.25  cnf(i_0_3089, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1749]), ['final']).
% 247.18/174.25  cnf(i_0_3090, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1750]), ['final']).
% 247.18/174.25  cnf(i_0_3091, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Oone__class_Oone(tc_Int_Oint),X1),X1)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_1840]), ['final']).
% 247.18/174.25  cnf(i_0_3092, plain, (hAPP(hAPP(c_Power_Opower_Opower(X1,X2,X3),X4),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X2), inference(split_conjunct,[status(thm)],[i_0_1841]), ['final']).
% 247.18/174.25  cnf(i_0_3093, plain, (~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1842]), ['final']).
% 247.18/174.25  cnf(i_0_3094, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1843]), ['final']).
% 247.18/174.25  cnf(i_0_3095, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(rw,[status(thm)],[i_0_1844, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3096, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(rw,[status(thm)],[i_0_1845, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3097, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Divides_Odiv__class_Odiv(X1,X3,X2))=X3|~class_Divides_Osemiring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1846]), ['final']).
% 247.18/174.25  cnf(i_0_3098, plain, (c_Groups_Osgn__class_Osgn(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Osgn__class_Osgn(X1,X2)),c_Groups_Osgn__class_Osgn(X1,X3))|~class_RealVector_Oreal__normed__div__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1847]), ['final']).
% 247.18/174.25  cnf(i_0_3099, plain, (c_Groups_Osgn__class_Osgn(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Osgn__class_Osgn(X1,X2)),c_Groups_Osgn__class_Osgn(X1,X3))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1848]), ['final']).
% 247.18/174.25  cnf(i_0_3100, plain, (c_Rings_Oinverse__class_Oinverse(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X2)),c_Rings_Oinverse__class_Oinverse(X1,X3))|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1849]), ['final']).
% 247.18/174.25  cnf(i_0_3101, plain, (c_Rings_Odvd__class_Odvd(X2,X3,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~class_Rings_Ocomm__semiring__1(X2)), inference(split_conjunct,[status(thm)],[i_0_1850]), ['final']).
% 247.18/174.25  cnf(i_0_3102, plain, (c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,X2,X3))=c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X3))|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1851]), ['final']).
% 247.18/174.25  cnf(i_0_3103, plain, (c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Polynomial_OpCons(X1,X2,X3))=c_Polynomial_OpCons(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X3))|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1852]), ['final']).
% 247.18/174.25  cnf(i_0_3104, plain, (c_Rings_Odvd__class_Odvd(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4))|~class_Rings_Ocomm__semiring__1(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1853]), ['final']).
% 247.18/174.25  cnf(i_0_3105, plain, (c_Rings_Odvd__class_Odvd(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3))|~class_Rings_Ocomm__semiring__1(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1854]), ['final']).
% 247.18/174.25  cnf(i_0_3106, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1667]), ['final']).
% 247.18/174.25  cnf(i_0_3107, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1667]), ['final']).
% 247.18/174.25  cnf(i_0_3108, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1782]), ['final']).
% 247.18/174.25  cnf(i_0_3109, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(rw,[status(thm)],[i_0_1855, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3110, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(rw,[status(thm)],[i_0_1856, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3111, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1)), inference(split_conjunct,[status(thm)],[i_0_1857]), ['final']).
% 247.18/174.25  cnf(i_0_3112, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2)), inference(split_conjunct,[status(thm)],[i_0_1858]), ['final']).
% 247.18/174.25  cnf(i_0_3113, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opoly__gcd(X2,X3,X1)=c_Polynomial_Opoly__gcd(X2,X1,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X2),X3,X1))|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1605]), ['final']).
% 247.18/174.25  cnf(i_0_3114, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Opoly__gcd(X1,X3,X2)=c_Polynomial_Opoly__gcd(X1,X2,c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X3,X2))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1859]), ['final']).
% 247.18/174.25  cnf(i_0_3115, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2),X1)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)), inference(split_conjunct,[status(thm)],[i_0_1860]), ['final']).
% 247.18/174.25  cnf(i_0_3116, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1),X1)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)), inference(split_conjunct,[status(thm)],[i_0_1861]), ['final']).
% 247.18/174.25  cnf(i_0_3117, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Divides_Odiv__class_Omod(tc_Nat_Onat,X2,X1),X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1862]), ['final']).
% 247.18/174.25  cnf(i_0_3118, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Divides_Odiv__class_Omod(tc_Int_Oint,X2,X1))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[i_0_1863]), ['final']).
% 247.18/174.25  cnf(i_0_3119, plain, (c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X2),X3)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),X2,X3))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1864]), ['final']).
% 247.18/174.25  cnf(i_0_3120, plain, (c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X2),X3)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X3))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1865]), ['final']).
% 247.18/174.25  cnf(i_0_3121, plain, (c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),X2,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X3))=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Divides_Odiv__class_Odiv(tc_Polynomial_Opoly(X1),X2,X3))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1866]), ['final']).
% 247.18/174.25  cnf(i_0_3122, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2),c_Groups_Ozero__class_Ozero(tc_Int_Oint))|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1795]), ['final']).
% 247.18/174.25  cnf(i_0_3123, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1796]), ['final']).
% 247.18/174.25  cnf(i_0_3124, plain, (c_Polynomial_Opos__poly(X2,c_Polynomial_OpCons(X2,X3,X1))|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~c_Orderings_Oord__class_Oless(X2,c_Groups_Ozero__class_Ozero(X2),X3)|~class_Rings_Olinordered__idom(X2)), inference(split_conjunct,[status(thm)],[i_0_1825]), ['final']).
% 247.18/174.25  cnf(i_0_3125, plain, (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1816]), ['final']).
% 247.18/174.25  cnf(i_0_3126, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X3),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1867]), ['final']).
% 247.18/174.25  cnf(i_0_3127, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1868]), ['final']).
% 247.18/174.25  cnf(i_0_3128, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X3))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1869]), ['final']).
% 247.18/174.25  cnf(i_0_3129, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1870]), ['final']).
% 247.18/174.25  cnf(i_0_3130, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1871]), ['final']).
% 247.18/174.25  cnf(i_0_3131, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1))|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1800]), ['final']).
% 247.18/174.25  cnf(i_0_3132, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X3,c_Polynomial_Osmult(X1,X2,X4))=c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X3,X4)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1872]), ['final']).
% 247.18/174.25  cnf(i_0_3133, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1873, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3134, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1874, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3135, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1875, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3136, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1876, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3137, plain, (X2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X1,X2,X3)!=X4|~c_Rings_Odvd__class_Odvd(X1,X3,X2)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1877]), ['final']).
% 247.18/174.25  cnf(i_0_3138, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1593]), ['final']).
% 247.18/174.25  cnf(i_0_3139, plain, (c_Divides_Odiv__class_Odiv(X2,X1,X4)=X3|X4=c_Groups_Ozero__class_Ozero(X2)|X1!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X4)|~c_Rings_Odvd__class_Odvd(X2,X4,X1)|~class_Divides_Osemiring__div(X2)), inference(split_conjunct,[status(thm)],[i_0_1877]), ['final']).
% 247.18/174.25  cnf(i_0_3140, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X2)|X1!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)), inference(split_conjunct,[status(thm)],[i_0_1770]), ['final']).
% 247.18/174.25  cnf(i_0_3141, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),X2)|X1!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)), inference(split_conjunct,[status(thm)],[i_0_1771]), ['final']).
% 247.18/174.25  cnf(i_0_3142, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X2))), inference(split_conjunct,[status(thm)],[i_0_1878]), ['final']).
% 247.18/174.25  cnf(i_0_3143, plain, (c_Polynomial_Opos__poly(X1,c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),X3,X2))|~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),X2,X3)|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1822]), ['final']).
% 247.18/174.25  cnf(i_0_3144, plain, (X2=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1879]), ['final']).
% 247.18/174.25  cnf(i_0_3145, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1814]), ['final']).
% 247.18/174.25  cnf(i_0_3146, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1815]), ['final']).
% 247.18/174.25  cnf(i_0_3147, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Divides_Odiv__class_Odiv(tc_Int_Oint,X2,X1))=X2|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1880]), ['final']).
% 247.18/174.25  cnf(i_0_3148, plain, (c_Rings_Odvd__class_Odvd(X1,X2,X4)|~class_Rings_Ocomm__semiring__1(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~c_Rings_Odvd__class_Odvd(X1,X3,X4)), inference(split_conjunct,[status(thm)],[i_0_1881]), ['final']).
% 247.18/174.25  cnf(i_0_3149, plain, (c_Groups_Ominus__class_Ominus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1882]), ['final']).
% 247.18/174.25  cnf(i_0_3150, plain, (c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3))=c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1883]), ['final']).
% 247.18/174.25  cnf(i_0_3151, plain, (c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3))=c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1884]), ['final']).
% 247.18/174.25  cnf(i_0_3152, plain, (c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X3)=X2|~class_Fields_Ofield(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Polynomial_Odegree(X1,X3))), inference(split_conjunct,[status(thm)],[i_0_1885]), ['final']).
% 247.18/174.25  cnf(i_0_3153, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Oinverse(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Rings_Oinverse__class_Oinverse(X1,X2)),X3)|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1886]), ['final']).
% 247.18/174.25  cnf(i_0_3154, plain, (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2),X1)=X2|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1887]), ['final']).
% 247.18/174.25  cnf(i_0_3155, plain, (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1),X1)=X2|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_1888]), ['final']).
% 247.18/174.25  cnf(i_0_3156, plain, (c_Orderings_Oord__class_Oless__eq(X1,X3,X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1889]), ['final']).
% 247.18/174.25  cnf(i_0_3157, plain, (c_Orderings_Oord__class_Oless(X1,X3,X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1890]), ['final']).
% 247.18/174.25  cnf(i_0_3158, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1891, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3159, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X2)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1892]), ['final']).
% 247.18/174.25  cnf(i_0_3160, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3)=c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1893]), ['final']).
% 247.18/174.25  cnf(i_0_3161, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3)=c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1894]), ['final']).
% 247.18/174.25  cnf(i_0_3162, plain, (c_Rings_Oinverse__class_Oinverse(X1,hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3))=hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Rings_Oinverse__class_Oinverse(X1,X2)),X3)|~class_Rings_Odivision__ring__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1895]), ['final']).
% 247.18/174.25  cnf(i_0_3163, plain, (c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3)|~class_Rings_Oring(X1)), inference(split_conjunct,[status(thm)],[i_0_1896]), ['final']).
% 247.18/174.25  cnf(i_0_3164, plain, (c_Polynomial_Osmult(X1,X2,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X3))=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3))|~class_Rings_Ocomm__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1897]), ['final']).
% 247.18/174.25  cnf(i_0_3165, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1898, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3166, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1899, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3167, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opos__poly(X2,X1)|~c_Polynomial_Opos__poly(X2,c_Polynomial_OpCons(X2,X3,X1))|~class_Rings_Olinordered__idom(X2)), inference(split_conjunct,[status(thm)],[i_0_1825]), ['final']).
% 247.18/174.25  cnf(i_0_3168, plain, (c_Divides_Odiv__class_Omod(X1,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1900]), ['final']).
% 247.18/174.25  cnf(i_0_3169, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X2)=c_Divides_Odiv__class_Omod(X1,X3,X2)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1901]), ['final']).
% 247.18/174.25  cnf(i_0_3170, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X3)=c_Divides_Odiv__class_Omod(X1,X2,X3)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1902]), ['final']).
% 247.18/174.25  cnf(i_0_3171, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X3,X1))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~class_Groups_Ozero(X2)), inference(rw,[status(thm)],[i_0_1903, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3172, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Odegree(X1,c_Polynomial_OpCons(X1,X3,X2))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~class_Groups_Ozero(X1)), inference(rw,[status(thm)],[i_0_1904, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3173, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3))=X3|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1905]), ['final']).
% 247.18/174.25  cnf(i_0_3174, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X3)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1906]), ['final']).
% 247.18/174.25  cnf(i_0_3175, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X3)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1907]), ['final']).
% 247.18/174.25  cnf(i_0_3176, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2)))|~c_Polynomial_Opos__poly(X1,X2)|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1765]), ['final']).
% 247.18/174.25  cnf(i_0_3177, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|X1!=X2), inference(rw,[status(thm)],[i_0_1908, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3178, plain, (c_Polynomial_Opos__poly(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),X3))|~class_Rings_Olinordered__idom(X1)|~c_Polynomial_Opos__poly(X1,X2)|~c_Polynomial_Opos__poly(X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1909]), ['final']).
% 247.18/174.25  cnf(i_0_3179, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_1910, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3180, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(tc_Complex_Ocomplex),v_p,hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p)))), inference(split_conjunct,[status(thm)],[fact__096p_Advd_Aq_A_094_Adegree_Ap_096]), ['final']).
% 247.18/174.25  cnf(i_0_3181, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X2)),X3)=c_Groups_Ouminus__class_Ouminus(X1,hAPP(c_Polynomial_Ocoeff(X1,X2),X3))|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1911]), ['final']).
% 247.18/174.25  cnf(i_0_3182, plain, (hAPP(c_Polynomial_Opoly(X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X2)),X3)=c_Groups_Ouminus__class_Ouminus(X1,hAPP(c_Polynomial_Opoly(X1,X2),X3))|~class_Rings_Ocomm__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1912]), ['final']).
% 247.18/174.25  cnf(i_0_3183, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1913]), ['final']).
% 247.18/174.25  cnf(i_0_3184, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1913]), ['final']).
% 247.18/174.25  cnf(i_0_3185, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1914]), ['final']).
% 247.18/174.25  cnf(i_0_3186, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1914]), ['final']).
% 247.18/174.25  cnf(i_0_3187, plain, (c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1915]), ['final']).
% 247.18/174.25  cnf(i_0_3188, plain, (c_Orderings_Oord__class_Oless__eq(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1915]), ['final']).
% 247.18/174.25  cnf(i_0_3189, plain, (c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1916]), ['final']).
% 247.18/174.25  cnf(i_0_3190, plain, (c_Orderings_Oord__class_Oless(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1916]), ['final']).
% 247.18/174.25  cnf(i_0_3191, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2))), inference(split_conjunct,[status(thm)],[i_0_1917]), ['final']).
% 247.18/174.25  cnf(i_0_3192, plain, (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2))=c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))), inference(split_conjunct,[status(thm)],[i_0_1918]), ['final']).
% 247.18/174.25  cnf(i_0_3193, plain, (c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Polynomial_Omonom(X1,X2,X3))=c_Polynomial_Omonom(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1919]), ['final']).
% 247.18/174.25  cnf(i_0_3194, plain, (c_Polynomial_Osmult(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Polynomial_Osmult(X1,X2,X3))|~class_Rings_Ocomm__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1920]), ['final']).
% 247.18/174.25  cnf(i_0_3195, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Odivide(X1,X3,X2))=c_Rings_Oinverse__class_Odivide(X1,X3,c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1921]), ['final']).
% 247.18/174.25  cnf(i_0_3196, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1922, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3197, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)|X2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1923, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3198, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1924, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3199, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|X2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1925, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3200, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2))=X1), inference(split_conjunct,[status(thm)],[i_0_1926]), ['final']).
% 247.18/174.25  cnf(i_0_3201, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_1927]), ['final']).
% 247.18/174.25  cnf(i_0_3202, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1928]), ['final']).
% 247.18/174.25  cnf(i_0_3203, plain, (c_Polynomial_Odegree(X1,c_Polynomial_Osynthetic__div(X1,X2,X3))=c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_1929]), ['final']).
% 247.18/174.25  cnf(i_0_3204, plain, (c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)=c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3))|~class_RealVector_Oreal__normed__field(X1)), inference(split_conjunct,[status(thm)],[i_0_1930]), ['final']).
% 247.18/174.25  cnf(i_0_3205, plain, (c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3))=c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1931]), ['final']).
% 247.18/174.25  cnf(i_0_3206, plain, (c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3))=c_Rings_Oinverse__class_Odivide(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1932]), ['final']).
% 247.18/174.25  cnf(i_0_3207, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1933]), ['final']).
% 247.18/174.25  cnf(i_0_3208, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1934]), ['final']).
% 247.18/174.25  cnf(i_0_3209, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1935]), ['final']).
% 247.18/174.25  cnf(i_0_3210, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1820]), ['final']).
% 247.18/174.25  cnf(i_0_3211, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1936]), ['final']).
% 247.18/174.25  cnf(i_0_3212, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Osgn__class_Osgn(X1,X2))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 247.18/174.25  cnf(i_0_3213, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1938]), ['final']).
% 247.18/174.25  cnf(i_0_3214, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1939]), ['final']).
% 247.18/174.25  cnf(i_0_3215, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Osgn__class_Osgn(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 247.18/174.25  cnf(i_0_3216, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1941]), ['final']).
% 247.18/174.25  cnf(i_0_3217, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oone__class_Oone(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1820]), ['final']).
% 247.18/174.25  cnf(i_0_3218, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1942]), ['final']).
% 247.18/174.25  cnf(i_0_3219, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1943]), ['final']).
% 247.18/174.25  cnf(i_0_3220, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_1944]), ['final']).
% 247.18/174.25  cnf(i_0_3221, plain, (c_Groups_Ouminus__class_Ouminus(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Rings_Oring(X1)), inference(split_conjunct,[status(thm)],[i_0_1945]), ['final']).
% 247.18/174.25  cnf(i_0_3222, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X2),c_Polynomial_Osmult(X2,X1,X4),X3)|X1!=c_Groups_Ozero__class_Ozero(X2)|X3!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_1719]), ['final']).
% 247.18/174.25  cnf(i_0_3223, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Groups_Oordered__ab__group__add(X1)|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_1946]), ['final']).
% 247.18/174.25  cnf(i_0_3224, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))|~c_Orderings_Oord__class_Oless__eq(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1889]), ['final']).
% 247.18/174.25  cnf(i_0_3225, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))|~c_Orderings_Oord__class_Oless(X1,X2,X3)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1890]), ['final']).
% 247.18/174.25  cnf(i_0_3226, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X1),X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|X1!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1947, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3227, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oplus__class_Oplus(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Oone__class_Oone(X1)))|~class_Rings_Olinordered__semidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1948]), ['final']).
% 247.18/174.25  cnf(i_0_3228, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Oplus__class_Oplus(X1,X2,X3))=X3|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1949]), ['final']).
% 247.18/174.25  cnf(i_0_3229, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1950]), ['final']).
% 247.18/174.25  cnf(i_0_3230, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1951]), ['final']).
% 247.18/174.25  cnf(i_0_3231, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1952]), ['final']).
% 247.18/174.25  cnf(i_0_3232, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1953]), ['final']).
% 247.18/174.25  cnf(i_0_3233, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1)),X2)=c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2))), inference(split_conjunct,[status(thm)],[i_0_1954]), ['final']).
% 247.18/174.25  cnf(i_0_3234, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Ozero__class_Ozero(X1)),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Osemiring__0(X1)|~class_Power_Opower(X1)), inference(rw,[status(thm)],[i_0_1955, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3235, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|hBOOL(hAPP(hAPP(X3,X1),X2))|X2=X1|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1956]), ['final']).
% 247.18/174.25  cnf(i_0_3236, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1933]), ['final']).
% 247.18/174.25  cnf(i_0_3237, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1934]), ['final']).
% 247.18/174.25  cnf(i_0_3238, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1938]), ['final']).
% 247.18/174.25  cnf(i_0_3239, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Osgn__class_Osgn(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1940]), ['final']).
% 247.18/174.25  cnf(i_0_3240, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1939]), ['final']).
% 247.18/174.25  cnf(i_0_3241, plain, (c_Orderings_Oord__class_Oless(X1,c_Rings_Oinverse__class_Oinverse(X1,X2),c_Groups_Ozero__class_Ozero(X1))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_1957]), ['final']).
% 247.18/174.25  cnf(i_0_3242, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1935]), ['final']).
% 247.18/174.25  cnf(i_0_3243, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Osgn__class_Osgn(X1,X2))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1937]), ['final']).
% 247.18/174.25  cnf(i_0_3244, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Fields_Olinordered__field__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1936]), ['final']).
% 247.18/174.25  cnf(i_0_3245, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Rings_Oinverse__class_Oinverse(X1,X2))|~class_Fields_Olinordered__field(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1958]), ['final']).
% 247.18/174.25  cnf(i_0_3246, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1941]), ['final']).
% 247.18/174.25  cnf(i_0_3247, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ouminus__class_Ouminus(X1,X2))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Oordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1942]), ['final']).
% 247.18/174.25  cnf(i_0_3248, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)|c_Polynomial_Osmult(X1,X2,X3)!=c_Polynomial_OpCons(X1,X4,X3)), inference(split_conjunct,[status(thm)],[i_0_1959]), ['final']).
% 247.18/174.25  cnf(i_0_3249, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),c_Groups_Ouminus__class_Ouminus(X1,X3))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)|~class_Rings_Oring(X1)), inference(split_conjunct,[status(thm)],[i_0_1960]), ['final']).
% 247.18/174.25  cnf(i_0_3250, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,X2)),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Rings_Oring(X1)), inference(split_conjunct,[status(thm)],[i_0_1961]), ['final']).
% 247.18/174.25  cnf(i_0_3251, plain, (c_Rings_Odvd__class_Odvd(X1,X2,X3)|~c_Rings_Odvd__class_Odvd(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~class_Rings_Ocomm__ring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1962]), ['final']).
% 247.18/174.25  cnf(i_0_3252, plain, (c_Rings_Odvd__class_Odvd(X1,X2,X3)|~c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Rings_Ocomm__ring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1963]), ['final']).
% 247.18/174.25  cnf(i_0_3253, plain, (X2=X3|X2=c_Groups_Ouminus__class_Ouminus(X1,X3)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X3)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1964]), ['final']).
% 247.18/174.25  cnf(i_0_3254, plain, (c_Polynomial_Opos__poly(X1,c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,X3))|~class_Rings_Olinordered__idom(X1)|~c_Polynomial_Opos__poly(X1,X2)|~c_Polynomial_Opos__poly(X1,X3)), inference(split_conjunct,[status(thm)],[i_0_1965]), ['final']).
% 247.18/174.25  cnf(i_0_3255, plain, (X3=X4|X1!=X2|c_Groups_Ominus__class_Ominus(X5,X1,X2)!=c_Groups_Ominus__class_Ominus(X5,X3,X4)|~class_Groups_Oab__group__add(X5)), inference(split_conjunct,[status(thm)],[i_0_1966]), ['final']).
% 247.18/174.25  cnf(i_0_3256, plain, (X3=X4|X1!=X2|c_Groups_Ominus__class_Ominus(X5,X3,X4)!=c_Groups_Ominus__class_Ominus(X5,X1,X2)|~class_Groups_Oab__group__add(X5)), inference(split_conjunct,[status(thm)],[i_0_1966]), ['final']).
% 247.18/174.25  cnf(i_0_3257, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1950]), ['final']).
% 247.18/174.25  cnf(i_0_3258, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1951]), ['final']).
% 247.18/174.25  cnf(i_0_3259, plain, (c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))|~c_Orderings_Oord__class_Oless__eq(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1952]), ['final']).
% 247.18/174.25  cnf(i_0_3260, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1953]), ['final']).
% 247.18/174.25  cnf(i_0_3261, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)), inference(rw,[status(thm)],[i_0_1967, c_0_1298]), ['final']).
% 247.18/174.25  cnf(i_0_3262, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[i_0_1968, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3263, plain, (c_Rings_Oinverse__class_Oinverse(X1,c_Rings_Oinverse__class_Odivide(X1,X2,X3))=c_Rings_Oinverse__class_Odivide(X1,X3,X2)|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_1969]), ['final']).
% 247.18/174.26  cnf(i_0_3264, plain, (c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3))=c_Groups_Ominus__class_Ominus(X1,X3,X2)|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1970]), ['final']).
% 247.18/174.26  cnf(i_0_3265, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Oone__class_Oone(X1)))|~class_Rings_Olinordered__semidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1971]), ['final']).
% 247.18/174.26  cnf(i_0_3266, plain, (X1=X2|c_Polynomial_OpCons(X3,X1,X4)!=c_Polynomial_OpCons(X3,X2,X5)|~class_Groups_Ozero(X3)), inference(split_conjunct,[status(thm)],[i_0_1972]), ['final']).
% 247.18/174.26  cnf(i_0_3267, plain, (X1=X2|c_Polynomial_OpCons(X3,X4,X1)!=c_Polynomial_OpCons(X3,X5,X2)|~class_Groups_Ozero(X3)), inference(split_conjunct,[status(thm)],[i_0_1972]), ['final']).
% 247.18/174.26  cnf(i_0_3268, plain, (X2=X4|c_Groups_Oplus__class_Oplus(X1,X2,X3)!=c_Groups_Oplus__class_Oplus(X1,X4,X3)|~class_Groups_Ocancel__semigroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1973]), ['final']).
% 247.18/174.26  cnf(i_0_3269, plain, (X2=X4|~class_Groups_Ocancel__semigroup__add(X1)|c_Groups_Oplus__class_Oplus(X1,X2,X3)!=c_Groups_Oplus__class_Oplus(X1,X4,X3)), inference(split_conjunct,[status(thm)],[i_0_1974]), ['final']).
% 247.18/174.26  cnf(i_0_3270, plain, (X2=X4|c_Polynomial_Omonom(X1,X2,X3)!=c_Polynomial_Omonom(X1,X4,X3)|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_1975]), ['final']).
% 247.18/174.26  cnf(i_0_3271, plain, (X3=X4|~class_Groups_Ocancel__ab__semigroup__add(X1)|c_Groups_Oplus__class_Oplus(X1,X2,X3)!=c_Groups_Oplus__class_Oplus(X1,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_1976]), ['final']).
% 247.18/174.26  cnf(i_0_3272, plain, (X3=X4|c_Groups_Oplus__class_Oplus(X1,X2,X3)!=c_Groups_Oplus__class_Oplus(X1,X2,X4)|~class_Groups_Ocancel__semigroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_1977]), ['final']).
% 247.18/174.26  cnf(i_0_3273, plain, (X3=X4|~class_Groups_Ocancel__semigroup__add(X1)|c_Groups_Oplus__class_Oplus(X1,X2,X3)!=c_Groups_Oplus__class_Oplus(X1,X2,X4)), inference(split_conjunct,[status(thm)],[i_0_1978]), ['final']).
% 247.18/174.26  cnf(i_0_3274, plain, (X1=X2|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1979, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3275, plain, (X1=X2|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[inference(rw,[status(thm)],[i_0_1980, c_0_1298]), c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3276, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|hAPP(c_Polynomial_Opoly(X1,X2),X3)!=c_Groups_Ozero__class_Ozero(X1)|c_Polynomial_Oorder(X1,X3,X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1981]), ['final']).
% 247.18/174.26  cnf(i_0_3277, plain, (X1=X2|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1982]), ['final']).
% 247.18/174.26  cnf(i_0_3278, plain, (hAPP(c_Polynomial_Ocoeff(X1,X2),X3)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ozero(X1)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Polynomial_Odegree(X1,X2),X3)), inference(split_conjunct,[status(thm)],[i_0_1983]), ['final']).
% 247.18/174.26  cnf(i_0_3279, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(rw,[status(thm)],[i_0_1984, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3280, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),c_Polynomial_Opoly__gcd(X1,X2,X3),X2)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1985]), ['final']).
% 247.18/174.26  cnf(i_0_3281, plain, (c_Rings_Odvd__class_Odvd(tc_Polynomial_Opoly(X1),c_Polynomial_Opoly__gcd(X1,X2,X3),X3)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_1986]), ['final']).
% 247.18/174.26  cnf(i_0_3282, plain, (c_Rings_Odvd__class_Odvd(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X3)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~class_Rings_Ocomm__ring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1962]), ['final']).
% 247.18/174.26  cnf(i_0_3283, plain, (c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~class_Rings_Ocomm__ring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_1963]), ['final']).
% 247.18/174.26  cnf(i_0_3284, plain, (c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X1),X2)=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))|X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1987]), ['final']).
% 247.18/174.26  cnf(i_0_3285, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ouminus__class_Ouminus(X1,X3),c_Groups_Ouminus__class_Ouminus(X1,X2))=c_Rings_Oinverse__class_Odivide(X1,X3,X2)|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1988]), ['final']).
% 247.18/174.26  cnf(i_0_3286, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X2)), inference(split_conjunct,[status(thm)],[i_0_1989]), ['final']).
% 247.18/174.26  cnf(i_0_3287, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))), inference(split_conjunct,[status(thm)],[i_0_1990]), ['final']).
% 247.18/174.26  cnf(i_0_3288, plain, (c_Rings_Odvd__class_Odvd(X2,X1,hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3))|X1!=c_Groups_Oone__class_Oone(X2)|~class_Rings_Ocomm__semiring__1(X2)), inference(split_conjunct,[status(thm)],[i_0_1850]), ['final']).
% 247.18/174.26  cnf(i_0_3289, plain, (c_Divides_Odiv__class_Odiv(X1,c_Divides_Odiv__class_Omod(X1,X2,X3),X3)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1991]), ['final']).
% 247.18/174.26  cnf(i_0_3290, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(rw,[status(thm)],[i_0_1992, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3291, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X2)=X3|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1993]), ['final']).
% 247.18/174.26  cnf(i_0_3292, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2),X2)=X3|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_1994]), ['final']).
% 247.18/174.26  cnf(i_0_3293, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2))|~class_Rings_Olinordered__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_1995]), ['final']).
% 247.18/174.26  cnf(i_0_3294, plain, (X1=X2|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1996]), ['final']).
% 247.18/174.26  cnf(i_0_3295, plain, (X1=X2|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1997]), ['final']).
% 247.18/174.26  cnf(i_0_3296, plain, (X1=X2|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1998]), ['final']).
% 247.18/174.26  cnf(i_0_3297, plain, (X2=X1|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_1999]), ['final']).
% 247.18/174.26  cnf(i_0_3298, plain, (X2=X1|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2000]), ['final']).
% 247.18/174.26  cnf(i_0_3299, plain, (X1=X2|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2001]), ['final']).
% 247.18/174.26  cnf(i_0_3300, plain, (X2=X1|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2002]), ['final']).
% 247.18/174.26  cnf(i_0_3301, plain, (X2=X1|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2003]), ['final']).
% 247.18/174.26  cnf(i_0_3302, plain, (X2=X1|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2004]), ['final']).
% 247.18/174.26  cnf(i_0_3303, plain, (X1=X2|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2005]), ['final']).
% 247.18/174.26  cnf(i_0_3304, plain, (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)))=X1), inference(rw,[status(thm)],[i_0_2006, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3305, plain, (c_Groups_Ominus__class_Ominus(X1,c_Groups_Oplus__class_Oplus(X1,X2,X3),X3)=X2|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2007]), ['final']).
% 247.18/174.26  cnf(i_0_3306, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ominus__class_Ominus(X1,X2,X3),X3)=X2|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2008]), ['final']).
% 247.18/174.26  cnf(i_0_3307, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)), inference(rw,[status(thm)],[i_0_2009, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3308, plain, (X1=c_Groups_Oone__class_Oone(tc_Int_Oint)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)), inference(split_conjunct,[status(thm)],[i_0_2010]), ['final']).
% 247.18/174.26  cnf(i_0_3309, plain, (X1=c_Groups_Oone__class_Oone(tc_Int_Oint)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)!=c_Groups_Oone__class_Oone(tc_Int_Oint)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X2)), inference(split_conjunct,[status(thm)],[i_0_2010]), ['final']).
% 247.18/174.26  cnf(i_0_3310, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(rw,[status(thm)],[i_0_2011, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3311, plain, (X1=X3|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X3,X2)), inference(split_conjunct,[status(thm)],[i_0_2012]), ['final']).
% 247.18/174.26  cnf(i_0_3312, plain, (X2=X3|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X3)), inference(split_conjunct,[status(thm)],[i_0_2013]), ['final']).
% 247.18/174.26  cnf(i_0_3313, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_2014]), ['final']).
% 247.18/174.26  cnf(i_0_3314, plain, (c_Divides_Odiv__class_Omod(X1,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3),X3)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_2015]), ['final']).
% 247.18/174.26  cnf(i_0_3315, plain, (c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Rings_Oinverse__class_Odivide(X1,X2,X3)|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_2016]), ['final']).
% 247.18/174.26  cnf(i_0_3316, plain, (c_Polynomial_Odegree(X1,c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2017]), ['final']).
% 247.18/174.26  cnf(i_0_3317, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1), inference(rw,[status(thm)],[i_0_2018, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3318, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,c_Groups_Oone__class_Oone(tc_Int_Oint)))|X1!=X2), inference(split_conjunct,[status(thm)],[i_0_1782]), ['final']).
% 247.18/174.26  cnf(i_0_3319, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat)))|X1!=X2), inference(rw,[status(thm)],[i_0_2019, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3320, plain, (c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X3))=c_Divides_Odiv__class_Omod(tc_Polynomial_Opoly(X1),X2,X3)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_2020]), ['final']).
% 247.18/174.26  cnf(i_0_3321, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_2021, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3322, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_1818]), ['final']).
% 247.18/174.26  cnf(i_0_3323, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_2022]), ['final']).
% 247.18/174.26  cnf(i_0_3324, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_1819]), ['final']).
% 247.18/174.26  cnf(i_0_3325, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_2023]), ['final']).
% 247.18/174.26  cnf(i_0_3326, plain, (c_Rings_Odvd__class_Odvd(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2024]), ['final']).
% 247.18/174.26  cnf(i_0_3327, plain, (c_Rings_Odvd__class_Odvd(X1,X2,hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2025]), ['final']).
% 247.18/174.26  cnf(i_0_3328, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat)))), inference(rw,[status(thm)],[i_0_2026, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3329, plain, (X1=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),esk21_2(X2,X1))|c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_2027]), ['final']).
% 247.18/174.26  cnf(i_0_3330, plain, (X1=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),esk20_2(X2,X1))|c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2028]), ['final']).
% 247.18/174.26  cnf(i_0_3331, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X2)|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1989]), ['final']).
% 247.18/174.26  cnf(i_0_3332, plain, (c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))|~c_Rings_Odvd__class_Odvd(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1990]), ['final']).
% 247.18/174.26  cnf(i_0_3333, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2),X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_2029]), ['final']).
% 247.18/174.26  cnf(i_0_3334, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2030]), ['final']).
% 247.18/174.26  cnf(i_0_3335, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X1)=X2), inference(split_conjunct,[status(thm)],[i_0_2031]), ['final']).
% 247.18/174.26  cnf(i_0_3336, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2),X2)=X1), inference(split_conjunct,[status(thm)],[i_0_2032]), ['final']).
% 247.18/174.26  cnf(i_0_3337, plain, (c_Orderings_Oord__class_Oless(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)|c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X1),X2)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)))|X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1987]), ['final']).
% 247.18/174.26  cnf(i_0_3338, plain, (c_Rings_Oinverse__class_Odivide(X2,X3,X4)=X1|X1!=c_Groups_Ozero__class_Ozero(X2)|X3!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4)|~class_Fields_Ofield__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2033]), ['final']).
% 247.18/174.26  cnf(i_0_3339, plain, (X1=c_Rings_Oinverse__class_Odivide(X2,X4,X3)|X1!=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3)!=X4|~class_Fields_Ofield__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2034]), ['final']).
% 247.18/174.26  cnf(i_0_3340, plain, (c_Rings_Odvd__class_Odvd(X1,X3,X2)|c_Divides_Odiv__class_Omod(X1,X2,X3)!=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_2035]), ['final']).
% 247.18/174.26  cnf(i_0_3341, plain, (c_Polynomial_Opoly__gcd(X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X2),X3)=c_Polynomial_Opoly__gcd(X1,X2,X3)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_2036]), ['final']).
% 247.18/174.26  cnf(i_0_3342, plain, (c_Polynomial_Opoly__gcd(X1,X2,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X3))=c_Polynomial_Opoly__gcd(X1,X2,X3)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_2037]), ['final']).
% 247.18/174.26  cnf(i_0_3343, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X1)=X4|X3!=c_Rings_Oinverse__class_Odivide(X2,X4,X1)|~class_Fields_Ofield__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2034]), ['final']).
% 247.18/174.26  cnf(i_0_3344, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X4)=X3|X4=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Rings_Oinverse__class_Odivide(X2,X3,X4)|~class_Rings_Odivision__ring(X2)), inference(split_conjunct,[status(thm)],[i_0_2038]), ['final']).
% 247.18/174.26  cnf(i_0_3345, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|X3=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X4),X1)|c_Rings_Oinverse__class_Odivide(X2,X3,X1)!=X4|~class_Fields_Ofield__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2033]), ['final']).
% 247.18/174.26  cnf(i_0_3346, plain, (X2=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X3)|X3=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Odivide(X1,X2,X3)!=X4|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2039]), ['final']).
% 247.18/174.26  cnf(i_0_3347, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1814]), ['final']).
% 247.18/174.26  cnf(i_0_3348, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1815]), ['final']).
% 247.18/174.26  cnf(i_0_3349, plain, (c_Divides_Odiv__class_Omod(X1,X3,X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2040]), ['final']).
% 247.18/174.26  cnf(i_0_3350, plain, (c_Divides_Odiv__class_Omod(X1,X3,X2)=c_Groups_Ozero__class_Ozero(X1)|~c_Rings_Odvd__class_Odvd(X1,X2,X3)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_2035]), ['final']).
% 247.18/174.26  cnf(i_0_3351, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Rings_Oinverse__class_Odivide(X2,X3,X1)=X4|X3!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X4),X1)|~class_Fields_Ofield__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2033]), ['final']).
% 247.18/174.26  cnf(i_0_3352, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Odivide(X1,X3,X2)=X4|~class_Rings_Odivision__ring(X1)|X3!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X4),X2)), inference(split_conjunct,[status(thm)],[i_0_2041]), ['final']).
% 247.18/174.26  cnf(i_0_3353, plain, (c_Rings_Oinverse__class_Odivide(X2,X1,X4)=X3|X4=c_Groups_Ozero__class_Ozero(X2)|X1!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X4)|~class_Rings_Odivision__ring(X2)), inference(split_conjunct,[status(thm)],[i_0_2039]), ['final']).
% 247.18/174.26  cnf(i_0_3354, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|X3=c_Rings_Oinverse__class_Odivide(X2,X4,X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X1)!=X4|~class_Fields_Ofield__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2034]), ['final']).
% 247.18/174.26  cnf(i_0_3355, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Rings_Oinverse__class_Odivide(X1,X4,X2)|~class_Rings_Odivision__ring(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)!=X4), inference(split_conjunct,[status(thm)],[i_0_2042]), ['final']).
% 247.18/174.26  cnf(i_0_3356, plain, (X2=c_Rings_Oinverse__class_Odivide(X1,X4,X3)|X3=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)!=X4|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2038]), ['final']).
% 247.18/174.26  cnf(i_0_3357, plain, (X1=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,esk16_1(X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(rw,[status(thm)],[i_0_2043, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3358, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2044]), ['final']).
% 247.18/174.26  cnf(i_0_3359, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))=c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X2)), inference(split_conjunct,[status(thm)],[i_0_2045]), ['final']).
% 247.18/174.26  cnf(i_0_3360, plain, (c_Polynomial_Opos__poly(X1,c_Polynomial_OpCons(X1,X3,X2))|~c_Polynomial_Opos__poly(X1,X2)|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_1825]), ['final']).
% 247.18/174.26  cnf(i_0_3361, plain, (X1=X3|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X2)), inference(split_conjunct,[status(thm)],[i_0_2046]), ['final']).
% 247.18/174.26  cnf(i_0_3362, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=X3|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)), inference(split_conjunct,[status(thm)],[i_0_2047]), ['final']).
% 247.18/174.26  cnf(i_0_3363, plain, (X2=X3|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)), inference(split_conjunct,[status(thm)],[i_0_2048]), ['final']).
% 247.18/174.26  cnf(i_0_3364, plain, (c_Groups_Ouminus__class_Ouminus(X1,X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))),X2)|~class_Rings_Ocomm__ring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2049]), ['final']).
% 247.18/174.26  cnf(i_0_3365, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)=c_Groups_Oone__class_Oone(tc_Int_Oint)|X1!=c_Groups_Oone__class_Oone(tc_Int_Oint)|X2!=c_Groups_Oone__class_Oone(tc_Int_Oint)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)), inference(split_conjunct,[status(thm)],[i_0_2010]), ['final']).
% 247.18/174.26  cnf(i_0_3366, plain, (c_Polynomial_Odegree(X2,c_Polynomial_OpCons(X2,X3,X1))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Groups_Ozero(X2)), inference(split_conjunct,[status(thm)],[i_0_1251]), ['final']).
% 247.18/174.26  cnf(i_0_3367, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X3))=c_Polynomial_Odegree(X2,X3)|~class_Rings_Oidom(X2)), inference(split_conjunct,[status(thm)],[i_0_2050]), ['final']).
% 247.18/174.26  cnf(i_0_3368, plain, (c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|X1!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[i_0_2051, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3369, plain, (c_Rings_Odvd__class_Odvd(X1,X3,X2)|~class_Rings_Odvd(X1)|X2!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X4)), inference(split_conjunct,[status(thm)],[i_0_2052]), ['final']).
% 247.18/174.26  cnf(i_0_3370, plain, (c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))=c_Groups_Oplus__class_Oplus(X1,X2,X3)|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2053]), ['final']).
% 247.18/174.26  cnf(i_0_3371, plain, (c_Groups_Ominus__class_Ominus(X1,X2,X3)=c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2054]), ['final']).
% 247.18/174.26  cnf(i_0_3372, plain, (c_Groups_Ominus__class_Ominus(X1,X2,X3)=c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2055]), ['final']).
% 247.18/174.26  cnf(i_0_3373, plain, (c_Groups_Ominus__class_Ominus(X1,X2,X3)=c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X3))|~class_Rings_Ocomm__ring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2056]), ['final']).
% 247.18/174.26  cnf(i_0_3374, plain, (c_Polynomial_Odegree(X1,c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3))=c_Polynomial_Odegree(X1,X2)|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2057]), ['final']).
% 247.18/174.26  cnf(i_0_3375, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),esk7_0)), inference(split_conjunct,[status(thm)],[i_0_2058]), ['final']).
% 247.18/174.26  cnf(i_0_3376, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_q),c_Polynomial_Odegree(tc_Complex_Ocomplex,v_p))=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(tc_Complex_Ocomplex)),v_p),v_r____)), inference(split_conjunct,[status(thm)],[fact_r]), ['final']).
% 247.18/174.26  cnf(i_0_3377, plain, (c_Rings_Oinverse__class_Odivide(X1,X2,X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Rings_Oinverse__class_Oinverse(X1,X3))|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2059]), ['final']).
% 247.18/174.26  cnf(i_0_3378, plain, (c_Rings_Oinverse__class_Odivide(X1,X2,X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Rings_Oinverse__class_Oinverse(X1,X3))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_2060]), ['final']).
% 247.18/174.26  cnf(i_0_3379, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2061]), ['final']).
% 247.18/174.26  cnf(i_0_3380, plain, (c_Divides_Odiv__class_Odiv(tc_Nat_Onat,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2062]), ['final']).
% 247.18/174.26  cnf(i_0_3381, plain, (c_Polynomial_Odegree(X2,c_Polynomial_Osmult(X2,X1,X3))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Oidom(X2)), inference(split_conjunct,[status(thm)],[i_0_2050]), ['final']).
% 247.18/174.26  cnf(i_0_3382, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_1839]), ['final']).
% 247.18/174.26  cnf(i_0_3383, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)=X1|~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2063]), ['final']).
% 247.18/174.26  cnf(i_0_3384, plain, (c_Polynomial_Omonom(X1,X2,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Polynomial_OpCons(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2064]), ['final']).
% 247.18/174.26  cnf(i_0_3385, plain, (c_Groups_Osgn__class_Osgn(X1,X2)=c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_2065]), ['final']).
% 247.18/174.26  cnf(i_0_3386, plain, (c_Groups_Osgn__class_Osgn(X1,X2)=c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))|~c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2066]), ['final']).
% 247.18/174.26  cnf(i_0_3387, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2061]), ['final']).
% 247.18/174.26  cnf(i_0_3388, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X3)|X1!=c_Groups_Ouminus__class_Ouminus(X2,X3)|~class_Rings_Oidom(X2)), inference(split_conjunct,[status(thm)],[i_0_1964]), ['final']).
% 247.18/174.26  cnf(i_0_3389, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Polynomial_Odegree(X1,c_Polynomial_Omonom(X1,X2,X3))=X3|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2067]), ['final']).
% 247.18/174.26  cnf(i_0_3390, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2068]), ['final']).
% 247.18/174.26  cnf(i_0_3391, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|X1!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X3)), inference(split_conjunct,[status(thm)],[i_0_2027]), ['final']).
% 247.18/174.26  cnf(i_0_3392, plain, (c_Divides_Odiv__class_Omod(tc_Nat_Onat,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X3)), inference(split_conjunct,[status(thm)],[i_0_2028]), ['final']).
% 247.18/174.26  cnf(i_0_3393, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2069]), ['final']).
% 247.18/174.26  cnf(i_0_3394, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Ozero(X1)|hAPP(c_Polynomial_Ocoeff(X1,X2),c_Polynomial_Odegree(X1,X2))!=c_Groups_Ozero__class_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2070]), ['final']).
% 247.18/174.26  cnf(i_0_3395, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))=c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2071]), ['final']).
% 247.18/174.26  cnf(i_0_3396, plain, (c_Groups_Ominus__class_Ominus(tc_Int_Oint,X1,X2)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X2))), inference(split_conjunct,[status(thm)],[i_0_2072]), ['final']).
% 247.18/174.26  cnf(i_0_3397, plain, (X1=X2|hAPP(X1,esk1_2(X2,X1))!=hAPP(X2,esk1_2(X2,X1))), inference(split_conjunct,[status(thm)],[i_0_2073]), ['final']).
% 247.18/174.26  cnf(i_0_3398, plain, (c_Groups_Osgn__class_Osgn(X1,X2)=c_Groups_Oone__class_Oone(X1)|X2=c_Groups_Ozero__class_Ozero(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Groups_Osgn__if(X1)), inference(split_conjunct,[status(thm)],[i_0_2074]), ['final']).
% 247.18/174.26  cnf(i_0_3399, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Osmult(X1,X2,X3)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_2075]), ['final']).
% 247.18/174.26  cnf(i_0_3400, plain, (c_Polynomial_Odegree(X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Polynomial_Osynthetic__div(X1,X2,X3)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2076]), ['final']).
% 247.18/174.26  cnf(i_0_3401, plain, (X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)!=c_Groups_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Rings_Omult__zero(X2)|~class_Rings_Ono__zero__divisors(X2)|~class_Rings_Ozero__neq__one(X2)), inference(split_conjunct,[status(thm)],[i_0_2077]), ['final']).
% 247.18/174.26  cnf(i_0_3402, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3)!=c_Groups_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Rings_Omult__zero(X2)|~class_Rings_Ono__zero__divisors(X2)|~class_Rings_Ozero__neq__one(X2)), inference(split_conjunct,[status(thm)],[i_0_2077]), ['final']).
% 247.18/174.26  cnf(i_0_3403, plain, (X2=c_Groups_Oone__class_Oone(X1)|X2=c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X2)!=c_Groups_Oone__class_Oone(X1)|~class_Rings_Oring__1__no__zero__divisors(X1)), inference(split_conjunct,[status(thm)],[i_0_2078]), ['final']).
% 247.18/174.26  cnf(i_0_3404, plain, (c_Orderings_Oord__class_Oless(X1,X2,c_Groups_Ozero__class_Ozero(X1))|c_Groups_Osgn__class_Osgn(X1,X2)!=c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2066]), ['final']).
% 247.18/174.26  cnf(i_0_3405, plain, (c_Groups_Osgn__class_Osgn(X1,X2)=c_Groups_Oone__class_Oone(X1)|~class_Rings_Olinordered__idom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_2079]), ['final']).
% 247.18/174.26  cnf(i_0_3406, plain, (c_Groups_Osgn__class_Osgn(X1,X2)=c_Groups_Oone__class_Oone(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2080]), ['final']).
% 247.18/174.26  cnf(i_0_3407, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X2)),X2)=c_Groups_Oone__class_Oone(X1)|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2081]), ['final']).
% 247.18/174.26  cnf(i_0_3408, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Rings_Oinverse__class_Oinverse(X1,X2)),X2)=c_Groups_Oone__class_Oone(X1)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_2082]), ['final']).
% 247.18/174.26  cnf(i_0_3409, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opoly__gcd(X2,X1,X3)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_2083]), ['final']).
% 247.18/174.26  cnf(i_0_3410, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_Opoly__gcd(X2,X3,X1)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_2083]), ['final']).
% 247.18/174.26  cnf(i_0_3411, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Polynomial_OpCons(X2,X3,X1)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Groups_Ozero(X2)), inference(split_conjunct,[status(thm)],[i_0_2084]), ['final']).
% 247.18/174.26  cnf(i_0_3412, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X2,X3)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2085]), ['final']).
% 247.18/174.26  cnf(i_0_3413, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(tc_Complex_Ocomplex,tc_Complex_Ocomplex,c_Polynomial_Opoly(tc_Complex_Ocomplex,X1))|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,X1),esk6_1(X1))=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[i_0_2086]), ['final']).
% 247.18/174.26  cnf(i_0_3414, plain, (X2=X3|c_Orderings_Oord__class_Oless(X1,X2,X3)|c_Orderings_Oord__class_Oless(X1,X3,X2)|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2087]), ['final']).
% 247.18/174.26  cnf(i_0_3415, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X3,X1)|hAPP(X1,esk2_1(X1))!=hAPP(X1,esk3_1(X1))), inference(split_conjunct,[status(thm)],[i_0_2088]), ['final']).
% 247.18/174.26  cnf(i_0_3416, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X2,c_Polynomial_Opoly(X2,X1))|esk12_2(X1,X2)!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Oidom(X2)), inference(split_conjunct,[status(thm)],[i_0_1309]), ['final']).
% 247.18/174.26  cnf(i_0_3417, plain, (c_Polynomial_Opoly__gcd(X1,X2,X3)=c_Polynomial_Opoly__gcd(X1,X3,X2)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_2089]), ['final']).
% 247.18/174.26  cnf(i_0_3418, plain, (c_Groups_Oplus__class_Oplus(X1,X2,X3)=c_Groups_Oplus__class_Oplus(X1,X3,X2)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2090]), ['final']).
% 247.18/174.26  cnf(i_0_3419, plain, (c_Groups_Ouminus__class_Ouminus(X1,X2)=X3|~class_Groups_Ogroup__add(X1)|c_Groups_Oplus__class_Oplus(X1,X2,X3)!=c_Groups_Ozero__class_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2091]), ['final']).
% 247.18/174.26  cnf(i_0_3420, plain, (X2=c_Groups_Ouminus__class_Ouminus(X1,X3)|c_Groups_Oplus__class_Oplus(X1,X2,X3)!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2092]), ['final']).
% 247.18/174.26  cnf(i_0_3421, plain, (X3=c_Groups_Ouminus__class_Ouminus(X1,X2)|c_Groups_Oplus__class_Oplus(X1,X2,X3)!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2093]), ['final']).
% 247.18/174.26  cnf(i_0_3422, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Polynomial_Odegree(X2,X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))|~class_Groups_Ozero(X2)), inference(rw,[status(thm)],[i_0_2094, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3423, plain, (hAPP(X3,X4)=hAPP(X3,X5)|~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X1,X2,X3)), inference(split_conjunct,[status(thm)],[i_0_2088]), ['final']).
% 247.18/174.26  cnf(i_0_3424, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X2,c_Polynomial_Opoly(X2,X1))|esk11_2(X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Oidom(X2)), inference(split_conjunct,[status(thm)],[i_0_1309]), ['final']).
% 247.18/174.26  cnf(i_0_3425, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Polynomial_OpCons(X2,X1,X3)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Groups_Ozero(X2)), inference(split_conjunct,[status(thm)],[i_0_2084]), ['final']).
% 247.18/174.26  cnf(i_0_3426, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Polynomial_Omonom(X1,X2,X3)!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2095]), ['final']).
% 247.18/174.26  cnf(i_0_3427, plain, (~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_2096]), ['final']).
% 247.18/174.26  cnf(i_0_3428, plain, (~class_Rings_Olinordered__semidom(X1)|~c_Orderings_Oord__class_Oless(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(X1))), inference(split_conjunct,[status(thm)],[i_0_2097]), ['final']).
% 247.18/174.26  cnf(i_0_3429, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Polynomial_Opoly(X1)),X2),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2098]), ['final']).
% 247.18/174.26  cnf(i_0_3430, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)), inference(rw,[status(thm)],[i_0_2099, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3431, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X3),X2)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2100]), ['final']).
% 247.18/174.26  cnf(i_0_3432, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(rw,[status(thm)],[i_0_2101, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3433, plain, (c_Rings_Oinverse__class_Oinverse(X1,X2)=X3|~class_Rings_Odivision__ring(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)!=c_Groups_Oone__class_Oone(X1)), inference(split_conjunct,[status(thm)],[i_0_2102]), ['final']).
% 247.18/174.26  cnf(i_0_3434, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)|X1=X2|c_Orderings_Oord__class_Oless(tc_Int_Oint,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2103]), ['final']).
% 247.18/174.26  cnf(i_0_3435, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2104]), ['final']).
% 247.18/174.26  cnf(i_0_3436, plain, (X1=X2|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2105]), ['final']).
% 247.18/174.26  cnf(i_0_3437, plain, (c_Polynomial_Oorder(X1,X2,X3)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Polynomial_Opoly(X1,X3),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_1981]), ['final']).
% 247.18/174.26  cnf(i_0_3438, plain, (c_Polynomial_Opoly__gcd(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_2106]), ['final']).
% 247.18/174.26  cnf(i_0_3439, plain, (X3=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|c_Rings_Oinverse__class_Odivide(X2,X4,X1)!=X3|~class_Fields_Ofield__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2033]), ['final']).
% 247.18/174.26  cnf(i_0_3440, plain, (X3=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|X3!=c_Rings_Oinverse__class_Odivide(X2,X4,X1)|~class_Fields_Ofield__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2034]), ['final']).
% 247.18/174.26  cnf(i_0_3441, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ocomm__semiring__1(X1)|~c_Rings_Odvd__class_Odvd(X1,c_Groups_Ozero__class_Ozero(X1),X2)), inference(split_conjunct,[status(thm)],[i_0_2107]), ['final']).
% 247.18/174.26  cnf(i_0_3442, plain, (c_Polynomial_Opoly__gcd(X2,X1,X3)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X3!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Fields_Ofield(X2)), inference(split_conjunct,[status(thm)],[i_0_2083]), ['final']).
% 247.18/174.26  cnf(i_0_3443, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Groups_Osgn__class_Osgn(X1,X2)=c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Oone__class_Oone(X1))|X2=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Osgn__if(X1)), inference(split_conjunct,[status(thm)],[i_0_2074]), ['final']).
% 247.18/174.26  cnf(i_0_3444, plain, (X2=X3|X3=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Odivide(X1,X2,X3)!=c_Groups_Oone__class_Oone(X1)|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2108]), ['final']).
% 247.18/174.26  cnf(i_0_3445, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X2)|c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2109]), ['final']).
% 247.18/174.26  cnf(i_0_3446, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oring__no__zero__divisors(X1)), inference(split_conjunct,[status(thm)],[i_0_2110]), ['final']).
% 247.18/174.26  cnf(i_0_3447, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ono__zero__divisors(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)!=c_Groups_Ozero__class_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2111]), ['final']).
% 247.18/174.26  cnf(i_0_3448, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ono__zero__divisors(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),X3)!=c_Groups_Ozero__class_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2112]), ['final']).
% 247.18/174.26  cnf(i_0_3449, plain, (c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)=c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X2)|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2113]), ['final']).
% 247.18/174.26  cnf(i_0_3450, plain, (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),X1)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|v_q!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),X1)!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[i_0_2114]), ['final']).
% 247.18/174.26  cnf(i_0_3451, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,X2)=c_Groups_Oplus__class_Oplus(tc_Int_Oint,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2115]), ['final']).
% 247.18/174.26  cnf(i_0_3452, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)), inference(split_conjunct,[status(thm)],[i_0_2116]), ['final']).
% 247.18/174.26  cnf(i_0_3453, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Oplus__class_Oplus(X1,X2,X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2117]), ['final']).
% 247.18/174.26  cnf(i_0_3454, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Ozero__class_Ozero(X1)!=c_Groups_Oplus__class_Oplus(X1,X2,X2)|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2118]), ['final']).
% 247.18/174.26  cnf(i_0_3455, plain, (X2=X3|c_Groups_Ominus__class_Ominus(X1,X2,X3)!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2119]), ['final']).
% 247.18/174.26  cnf(i_0_3456, plain, (X2=X3|c_Groups_Ominus__class_Ominus(X1,X2,X3)!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2120]), ['final']).
% 247.18/174.26  cnf(i_0_3457, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Oring__1__no__zero__divisors(X1)|hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X3)!=c_Groups_Ozero__class_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2121]), ['final']).
% 247.18/174.26  cnf(i_0_3458, plain, (X3=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Oplus__class_Oplus(X2,X1,X3)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2)), inference(split_conjunct,[status(thm)],[i_0_2122]), ['final']).
% 247.18/174.26  cnf(i_0_3459, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Opoly(X1,X2)!=c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))|~class_Int_Oring__char__0(X1)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_2123]), ['final']).
% 247.18/174.26  cnf(i_0_3460, plain, (c_Polynomial_OpCons(X2,X1,X3)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X1!=c_Groups_Ozero__class_Ozero(X2)|X3!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Groups_Ozero(X2)), inference(split_conjunct,[status(thm)],[i_0_2084]), ['final']).
% 247.18/174.26  cnf(i_0_3461, plain, (c_Polynomial_Osynthetic__div(X1,X2,X3)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Odegree(X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2076]), ['final']).
% 247.18/174.26  cnf(i_0_3462, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2047]), ['final']).
% 247.18/174.26  cnf(i_0_3463, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X3)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2048]), ['final']).
% 247.18/174.26  cnf(i_0_3464, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X3),X1)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2046]), ['final']).
% 247.18/174.26  cnf(i_0_3465, plain, (X3=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Rings_Omult__zero(X2)|~class_Rings_Ono__zero__divisors(X2)|~class_Rings_Ozero__neq__one(X2)), inference(split_conjunct,[status(thm)],[i_0_2077]), ['final']).
% 247.18/174.26  cnf(i_0_3466, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)=c_Groups_Oone__class_Oone(X2)|X1!=c_Groups_Ouminus__class_Ouminus(X2,c_Groups_Oone__class_Oone(X2))|~class_Rings_Oring__1__no__zero__divisors(X2)), inference(split_conjunct,[status(thm)],[i_0_2078]), ['final']).
% 247.18/174.26  cnf(i_0_3467, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),X2)|c_Groups_Osgn__class_Osgn(X1,X2)!=c_Groups_Oone__class_Oone(X1)|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2080]), ['final']).
% 247.18/174.26  cnf(i_0_3468, plain, (c_Polynomial_OpCons(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2124]), ['final']).
% 247.18/174.26  cnf(i_0_3469, plain, (c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))=c_Polynomial_OpCons(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2125]), ['final']).
% 247.18/174.26  cnf(i_0_3470, plain, (hAPP(c_Polynomial_Ocoeff(X2,X1),c_Polynomial_Odegree(X2,X1))=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Groups_Ozero(X2)), inference(split_conjunct,[status(thm)],[i_0_2069]), ['final']).
% 247.18/174.26  cnf(i_0_3471, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Rings_Oinverse__class_Oinverse(X1,X2))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2126]), ['final']).
% 247.18/174.26  cnf(i_0_3472, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2127]), ['final']).
% 247.18/174.26  cnf(i_0_3473, plain, (hAPP(c_Polynomial_Ocoeff(X2,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X2))),X1)=c_Groups_Oone__class_Oone(X2)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Ocomm__semiring__1(X2)), inference(split_conjunct,[status(thm)],[i_0_2128]), ['final']).
% 247.18/174.26  cnf(i_0_3474, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Oinverse(X1,c_Groups_Ouminus__class_Ouminus(X1,X2))=c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Oinverse(X1,X2))|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2129]), ['final']).
% 247.18/174.26  cnf(i_0_3475, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|~c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_2130]), ['final']).
% 247.18/174.26  cnf(i_0_3476, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(rw,[status(thm)],[i_0_2131, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3477, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(rw,[status(thm)],[i_0_2132, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3478, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(rw,[status(thm)],[i_0_2133, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3479, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[i_0_2134, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3480, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[i_0_2135, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3481, plain, (c_Groups_Ozero__class_Ozero(tc_Nat_Onat)!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[i_0_2136, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3482, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X2),X1)), inference(split_conjunct,[status(thm)],[i_0_2137]), ['final']).
% 247.18/174.26  cnf(i_0_3483, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)), inference(split_conjunct,[status(thm)],[i_0_2138]), ['final']).
% 247.18/174.26  cnf(i_0_3484, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(c_Polynomial_Ocoeff(X2,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X2))),X1)=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Ocomm__semiring__1(X2)), inference(split_conjunct,[status(thm)],[i_0_2128]), ['final']).
% 247.18/174.26  cnf(i_0_3485, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2139]), ['final']).
% 247.18/174.26  cnf(i_0_3486, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2140]), ['final']).
% 247.18/174.26  cnf(i_0_3487, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ouminus__class_Ouminus(X1,X2))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2141]), ['final']).
% 247.18/174.26  cnf(i_0_3488, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2142]), ['final']).
% 247.18/174.26  cnf(i_0_3489, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X2,X1)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2142]), ['final']).
% 247.18/174.26  cnf(i_0_3490, plain, (c_Polynomial_Opoly__gcd(X1,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)),X2)=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_2143]), ['final']).
% 247.18/174.26  cnf(i_0_3491, plain, (c_Polynomial_Osynthetic__div(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2144]), ['final']).
% 247.18/174.26  cnf(i_0_3492, plain, (c_Polynomial_Opcompose(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2145]), ['final']).
% 247.18/174.26  cnf(i_0_3493, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2146]), ['final']).
% 247.18/174.26  cnf(i_0_3494, plain, (c_Polynomial_Opoly__gcd(X1,X2,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)))=c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_2147]), ['final']).
% 247.18/174.26  cnf(i_0_3495, plain, (c_Polynomial_Osmult(X1,X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2148]), ['final']).
% 247.18/174.26  cnf(i_0_3496, plain, (c_Polynomial_Osmult(X2,X3,X1)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Rings_Oidom(X2)), inference(split_conjunct,[status(thm)],[i_0_2075]), ['final']).
% 247.18/174.26  cnf(i_0_3497, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X1,X3)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Rings_Ocomm__semiring__0(X2)), inference(split_conjunct,[status(thm)],[i_0_2085]), ['final']).
% 247.18/174.26  cnf(i_0_3498, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|X2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2149]), ['final']).
% 247.18/174.26  cnf(i_0_3499, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))!=X1), inference(rw,[status(thm)],[i_0_2150, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3500, plain, (X1!=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[i_0_2151, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3501, plain, (c_Groups_Oplus__class_Oplus(X2,X1,X3)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ouminus__class_Ouminus(X2,X3)|~class_Groups_Ogroup__add(X2)), inference(split_conjunct,[status(thm)],[i_0_2092]), ['final']).
% 247.18/174.26  cnf(i_0_3502, plain, (c_Groups_Oplus__class_Oplus(X2,X3,X1)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ouminus__class_Ouminus(X2,X3)|~class_Groups_Ogroup__add(X2)), inference(split_conjunct,[status(thm)],[i_0_2093]), ['final']).
% 247.18/174.26  cnf(i_0_3503, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X2),c_Groups_Ozero__class_Ozero(X2)),X1)=c_Groups_Oone__class_Oone(X2)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Power_Opower(X2)|~class_Rings_Osemiring__0(X2)), inference(split_conjunct,[status(thm)],[i_0_2152]), ['final']).
% 247.18/174.26  cnf(i_0_3504, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)!=X1), inference(split_conjunct,[status(thm)],[i_0_2153]), ['final']).
% 247.18/174.26  cnf(i_0_3505, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_2154]), ['final']).
% 247.18/174.26  cnf(i_0_3506, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_2155]), ['final']).
% 247.18/174.26  cnf(i_0_3507, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_2156]), ['final']).
% 247.18/174.26  cnf(i_0_3508, plain, (hAPP(c_Polynomial_Ocoeff(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2157]), ['final']).
% 247.18/174.26  cnf(i_0_3509, plain, (hAPP(c_Polynomial_Opoly(X1,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1))),X2)=c_Groups_Oone__class_Oone(X1)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2158]), ['final']).
% 247.18/174.26  cnf(i_0_3510, plain, (hAPP(c_Polynomial_Opoly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2159]), ['final']).
% 247.18/174.26  cnf(i_0_3511, plain, (X1!=X2|~c_Orderings_Oord__class_Oless(tc_Int_Oint,X1,X2)), inference(split_conjunct,[status(thm)],[i_0_2061]), ['final']).
% 247.18/174.26  cnf(i_0_3512, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|X1!=X2), inference(split_conjunct,[status(thm)],[i_0_2160]), ['final']).
% 247.18/174.26  cnf(i_0_3513, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|X2!=X1), inference(split_conjunct,[status(thm)],[i_0_2161]), ['final']).
% 247.18/174.26  cnf(i_0_3514, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|X1!=X2), inference(split_conjunct,[status(thm)],[i_0_2105]), ['final']).
% 247.18/174.26  cnf(i_0_3515, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X2)|X2!=X1), inference(split_conjunct,[status(thm)],[i_0_2105]), ['final']).
% 247.18/174.26  cnf(i_0_3516, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Oinverse(X1,X2)=c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oone__class_Oone(X1),X2)|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2162]), ['final']).
% 247.18/174.26  cnf(i_0_3517, plain, (c_Groups_Osgn__class_Osgn(X1,c_Groups_Ouminus__class_Ouminus(X1,X2))=c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Osgn__class_Osgn(X1,X2))|~class_RealVector_Oreal__normed__vector(X1)), inference(split_conjunct,[status(thm)],[i_0_2163]), ['final']).
% 247.18/174.26  cnf(i_0_3518, plain, (c_Rings_Oinverse__class_Oinverse(X1,c_Groups_Ouminus__class_Ouminus(X1,X2))=c_Groups_Ouminus__class_Ouminus(X1,c_Rings_Oinverse__class_Oinverse(X1,X2))|~class_Rings_Odivision__ring__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_2164]), ['final']).
% 247.18/174.26  cnf(i_0_3519, plain, (c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)),X2)=X2|~class_Groups_Ocomm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2165]), ['final']).
% 247.18/174.26  cnf(i_0_3520, plain, (c_Groups_Ominus__class_Ominus(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=X2|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2166]), ['final']).
% 247.18/174.26  cnf(i_0_3521, plain, (c_Groups_Oplus__class_Oplus(tc_Polynomial_Opoly(X1),X2,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=X2|~class_Groups_Ocomm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2167]), ['final']).
% 247.18/174.26  cnf(i_0_3522, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Power_Opower__class_Opower(X2),c_Groups_Ozero__class_Ozero(X2)),X1)=c_Groups_Ozero__class_Ozero(X2)|~class_Power_Opower(X2)|~class_Rings_Osemiring__0(X2)), inference(split_conjunct,[status(thm)],[i_0_2152]), ['final']).
% 247.18/174.26  cnf(i_0_3523, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Polynomial_Opos__poly(X1,X2)|c_Polynomial_Opos__poly(X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X2))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2168]), ['final']).
% 247.18/174.26  cnf(i_0_3524, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2169]), ['final']).
% 247.18/174.26  cnf(i_0_3525, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2170]), ['final']).
% 247.18/174.26  cnf(i_0_3526, plain, (~c_Orderings_Oord__class_Oless(tc_Nat_Onat,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2171]), ['final']).
% 247.18/174.26  cnf(i_0_3527, plain, (X2=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)), inference(split_conjunct,[status(thm)],[i_0_2172]), ['final']).
% 247.18/174.26  cnf(i_0_3528, plain, (c_Groups_Ominus__class_Ominus(X1,c_Groups_Ozero__class_Ozero(X1),X2)=c_Groups_Ouminus__class_Ouminus(X1,X2)|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2173]), ['final']).
% 247.18/174.26  cnf(i_0_3529, plain, (c_Rings_Oinverse__class_Oinverse(X1,X2)=c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oone__class_Oone(X1),X2)|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2174]), ['final']).
% 247.18/174.26  cnf(i_0_3530, plain, (c_Rings_Oinverse__class_Oinverse(X1,X2)=c_Rings_Oinverse__class_Odivide(X1,c_Groups_Oone__class_Oone(X1),X2)|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_2175]), ['final']).
% 247.18/174.26  cnf(i_0_3531, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2176]), ['final']).
% 247.18/174.26  cnf(i_0_3532, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)!=c_Groups_Oone__class_Oone(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2176]), ['final']).
% 247.18/174.26  cnf(i_0_3533, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)), inference(split_conjunct,[status(thm)],[i_0_2177]), ['final']).
% 247.18/174.26  cnf(i_0_3534, plain, (X1=c_Groups_Oone__class_Oone(tc_Nat_Onat)|c_Groups_Oone__class_Oone(tc_Nat_Onat)!=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)), inference(split_conjunct,[status(thm)],[i_0_2177]), ['final']).
% 247.18/174.26  cnf(i_0_3535, plain, (c_Polynomial_Osmult(X2,X1,X3)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Oidom(X2)), inference(split_conjunct,[status(thm)],[i_0_2075]), ['final']).
% 247.18/174.26  cnf(i_0_3536, plain, (c_Polynomial_Omonom(X2,X1,X3)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ozero(X2)), inference(split_conjunct,[status(thm)],[i_0_2095]), ['final']).
% 247.18/174.26  cnf(i_0_3537, plain, (c_Rings_Oinverse__class_Odivide(X2,X4,X3)=X1|X1!=c_Groups_Ozero__class_Ozero(X2)|X3!=c_Groups_Ozero__class_Ozero(X2)|~class_Fields_Ofield__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2033]), ['final']).
% 247.18/174.26  cnf(i_0_3538, plain, (X1=c_Rings_Oinverse__class_Odivide(X2,X4,X3)|X1!=c_Groups_Ozero__class_Ozero(X2)|X3!=c_Groups_Ozero__class_Ozero(X2)|~class_Fields_Ofield__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2034]), ['final']).
% 247.18/174.26  cnf(i_0_3539, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_2178]), ['final']).
% 247.18/174.26  cnf(i_0_3540, plain, (c_Polynomial_Osmult(X1,c_Groups_Ozero__class_Ozero(X1),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2179]), ['final']).
% 247.18/174.26  cnf(i_0_3541, plain, (c_Polynomial_Omonom(X1,c_Groups_Ozero__class_Ozero(X1),X2)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2180]), ['final']).
% 247.18/174.26  cnf(i_0_3542, plain, (c_Power_Opower__class_Opower(X1)=c_Power_Opower_Opower(X1,c_Groups_Oone__class_Oone(X1),c_Groups_Otimes__class_Otimes(X1))|~class_Power_Opower(X1)), inference(split_conjunct,[status(thm)],[i_0_2181]), ['final']).
% 247.18/174.26  cnf(i_0_3543, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_2182]), ['final']).
% 247.18/174.26  cnf(i_0_3544, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_2183]), ['final']).
% 247.18/174.26  cnf(i_0_3545, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Omult__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_2184]), ['final']).
% 247.18/174.26  cnf(i_0_3546, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Ozero__class_Ozero(X1)),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2185]), ['final']).
% 247.18/174.26  cnf(i_0_3547, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_Groups_Oone__class_Oone(X1)),X2)=c_Groups_Oone__class_Oone(X1)|~class_Groups_Omonoid__mult(X1)), inference(split_conjunct,[status(thm)],[i_0_2186]), ['final']).
% 247.18/174.26  cnf(i_0_3548, plain, (c_Rings_Oinverse__class_Odivide(X3,X1,X2)=c_Groups_Oone__class_Oone(X3)|X2=c_Groups_Ozero__class_Ozero(X3)|X1!=X2|~class_Rings_Odivision__ring(X3)), inference(split_conjunct,[status(thm)],[i_0_2108]), ['final']).
% 247.18/174.26  cnf(i_0_3549, plain, (c_Rings_Oinverse__class_Odivide(X2,X1,X1)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Odivision__ring__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2187]), ['final']).
% 247.18/174.26  cnf(i_0_3550, plain, (c_Groups_Oplus__class_Oplus(X2,X1,X1)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Olinordered__ab__group__add(X2)), inference(split_conjunct,[status(thm)],[i_0_2117]), ['final']).
% 247.18/174.26  cnf(i_0_3551, plain, (c_Groups_Ozero__class_Ozero(X2)=c_Groups_Oplus__class_Oplus(X2,X1,X1)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Olinordered__ab__group__add(X2)), inference(split_conjunct,[status(thm)],[i_0_2118]), ['final']).
% 247.18/174.26  cnf(i_0_3552, plain, (c_Orderings_Oord__class_Oless__eq(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oone__class_Oone(X1))|~class_Rings_Olinordered__semidom(X1)), inference(split_conjunct,[status(thm)],[i_0_2188]), ['final']).
% 247.18/174.26  cnf(i_0_3553, plain, (c_Orderings_Oord__class_Oless(X1,c_Groups_Ozero__class_Ozero(X1),c_Groups_Oone__class_Oone(X1))|~class_Rings_Olinordered__semidom(X1)), inference(split_conjunct,[status(thm)],[i_0_2189]), ['final']).
% 247.18/174.26  cnf(i_0_3554, plain, (c_Polynomial_Odegree(X1,c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),X2))=c_Polynomial_Odegree(X1,X2)|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2190]), ['final']).
% 247.18/174.26  cnf(i_0_3555, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Groups_Ocomm__monoid__mult(X1)), inference(split_conjunct,[status(thm)],[i_0_2191]), ['final']).
% 247.18/174.26  cnf(i_0_3556, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Groups_Omonoid__mult(X1)), inference(split_conjunct,[status(thm)],[i_0_2192]), ['final']).
% 247.18/174.26  cnf(i_0_3557, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),c_Groups_Oone__class_Oone(X1)),X2)=X2|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2193]), ['final']).
% 247.18/174.26  cnf(i_0_3558, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X1)=c_Groups_Oone__class_Oone(X2)|X1!=c_Groups_Oone__class_Oone(X2)|~class_Rings_Oring__1__no__zero__divisors(X2)), inference(split_conjunct,[status(thm)],[i_0_2078]), ['final']).
% 247.18/174.26  cnf(i_0_3559, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X1),X3)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Oring__no__zero__divisors(X2)), inference(split_conjunct,[status(thm)],[i_0_2110]), ['final']).
% 247.18/174.26  cnf(i_0_3560, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X2),X3),X1)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Oring__no__zero__divisors(X2)), inference(split_conjunct,[status(thm)],[i_0_2110]), ['final']).
% 247.18/174.26  cnf(i_0_3561, plain, (c_Divides_Odiv__class_Odiv(X1,c_Groups_Ozero__class_Ozero(X1),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_2194]), ['final']).
% 247.18/174.26  cnf(i_0_3562, plain, (c_Divides_Odiv__class_Omod(X1,c_Groups_Ozero__class_Ozero(X1),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_2195]), ['final']).
% 247.18/174.26  cnf(i_0_3563, plain, (c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ozero__class_Ozero(X1),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__field(X1)), inference(split_conjunct,[status(thm)],[i_0_2196]), ['final']).
% 247.18/174.26  cnf(i_0_3564, plain, (c_Rings_Oinverse__class_Odivide(X1,c_Groups_Ozero__class_Ozero(X1),X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2197]), ['final']).
% 247.18/174.26  cnf(i_0_3565, plain, (c_Divides_Odiv__class_Odiv(X1,X2,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_2198]), ['final']).
% 247.18/174.26  cnf(i_0_3566, plain, (c_Divides_Odiv__class_Omod(X1,X2,c_Groups_Oone__class_Oone(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_2199]), ['final']).
% 247.18/174.26  cnf(i_0_3567, plain, (c_Rings_Oinverse__class_Odivide(X1,X2,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_2200]), ['final']).
% 247.18/174.26  cnf(i_0_3568, plain, (X3=c_Groups_Oplus__class_Oplus(X2,X3,X1)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2)), inference(split_conjunct,[status(thm)],[i_0_2122]), ['final']).
% 247.18/174.26  cnf(i_0_3569, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|c_Rings_Oinverse__class_Odivide(X2,X1,X1)=c_Groups_Oone__class_Oone(X2)|~class_Rings_Odivision__ring__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2187]), ['final']).
% 247.18/174.26  cnf(i_0_3570, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Divides_Odiv__class_Odiv(X1,X2,X2)=c_Groups_Oone__class_Oone(X1)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_2201]), ['final']).
% 247.18/174.26  cnf(i_0_3571, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Odivide(X1,X2,X2)=c_Groups_Oone__class_Oone(X1)|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2202]), ['final']).
% 247.18/174.26  cnf(i_0_3572, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_2203]), ['final']).
% 247.18/174.26  cnf(i_0_3573, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__algebra(X1)), inference(split_conjunct,[status(thm)],[i_0_2204]), ['final']).
% 247.18/174.26  cnf(i_0_3574, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Omult__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_2205]), ['final']).
% 247.18/174.26  cnf(i_0_3575, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2206]), ['final']).
% 247.18/174.26  cnf(i_0_3576, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)=c_Groups_Oone__class_Oone(X2)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Power_Opower(X2)), inference(split_conjunct,[status(thm)],[i_0_1568]), ['final']).
% 247.18/174.26  cnf(i_0_3577, plain, (c_Groups_Ominus__class_Ominus(X3,X1,X2)=c_Groups_Ozero__class_Ozero(X3)|X1!=X2|~class_Groups_Ogroup__add(X3)), inference(split_conjunct,[status(thm)],[i_0_2119]), ['final']).
% 247.18/174.26  cnf(i_0_3578, plain, (c_Groups_Ominus__class_Ominus(X3,X1,X2)=c_Groups_Ozero__class_Ozero(X3)|X1!=X2|~class_Groups_Oab__group__add(X3)), inference(split_conjunct,[status(thm)],[i_0_2120]), ['final']).
% 247.18/174.26  cnf(i_0_3579, plain, (hAPP(c_Polynomial_Opoly(X2,X1),X3)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Rings_Oidom(X2)), inference(split_conjunct,[status(thm)],[i_0_1981]), ['final']).
% 247.18/174.26  cnf(i_0_3580, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2)=X2|~class_Groups_Omonoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2207]), ['final']).
% 247.18/174.26  cnf(i_0_3581, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2)=X2|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2208]), ['final']).
% 247.18/174.26  cnf(i_0_3582, plain, (c_Groups_Oplus__class_Oplus(X1,c_Groups_Ozero__class_Ozero(X1),X2)=X2|~class_Groups_Ocomm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2209]), ['final']).
% 247.18/174.26  cnf(i_0_3583, plain, (c_Polynomial_Osmult(X1,c_Groups_Oone__class_Oone(X1),X2)=X2|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2210]), ['final']).
% 247.18/174.26  cnf(i_0_3584, plain, (c_Divides_Odiv__class_Odiv(X1,X2,c_Groups_Oone__class_Oone(X1))=X2|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_2211]), ['final']).
% 247.18/174.26  cnf(i_0_3585, plain, (c_Divides_Odiv__class_Omod(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_2212]), ['final']).
% 247.18/174.26  cnf(i_0_3586, plain, (c_Rings_Oinverse__class_Odivide(X1,X2,c_Groups_Oone__class_Oone(X1))=X2|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2213]), ['final']).
% 247.18/174.26  cnf(i_0_3587, plain, (c_Groups_Ominus__class_Ominus(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2214]), ['final']).
% 247.18/174.26  cnf(i_0_3588, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Omonoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2215]), ['final']).
% 247.18/174.26  cnf(i_0_3589, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2216]), ['final']).
% 247.18/174.26  cnf(i_0_3590, plain, (c_Groups_Oplus__class_Oplus(X1,X2,c_Groups_Ozero__class_Ozero(X1))=X2|~class_Groups_Ocomm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2217]), ['final']).
% 247.18/174.26  cnf(i_0_3591, plain, (c_Rings_Odvd__class_Odvd(X1,c_Groups_Oone__class_Oone(X1),X2)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2218]), ['final']).
% 247.18/174.26  cnf(i_0_3592, plain, (c_Rings_Odvd__class_Odvd(X1,X2,c_Groups_Ozero__class_Ozero(X1))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2219]), ['final']).
% 247.18/174.26  cnf(i_0_3593, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X2!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2142]), ['final']).
% 247.18/174.26  cnf(i_0_3594, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(X1)|~class_Power_Opower(X1)), inference(split_conjunct,[status(thm)],[i_0_2220]), ['final']).
% 247.18/174.26  cnf(i_0_3595, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2221]), ['final']).
% 247.18/174.26  cnf(i_0_3596, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Groups_Ocomm__monoid__mult(X1)), inference(split_conjunct,[status(thm)],[i_0_2222]), ['final']).
% 247.18/174.26  cnf(i_0_3597, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Groups_Omonoid__mult(X1)), inference(split_conjunct,[status(thm)],[i_0_2223]), ['final']).
% 247.18/174.26  cnf(i_0_3598, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(X1),X2),c_Groups_Oone__class_Oone(X1))=X2|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2224]), ['final']).
% 247.18/174.26  cnf(i_0_3599, plain, (c_Divides_Odiv__class_Omod(X1,X2,X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Divides_Osemiring__div(X1)), inference(split_conjunct,[status(thm)],[i_0_2225]), ['final']).
% 247.18/174.26  cnf(i_0_3600, plain, (c_Groups_Ominus__class_Ominus(X1,X2,X2)=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2226]), ['final']).
% 247.18/174.26  cnf(i_0_3601, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|X3=c_Groups_Ozero__class_Ozero(X1)|X2=X3|~class_Rings_Odivision__ring(X1)|c_Rings_Oinverse__class_Oinverse(X1,X2)!=c_Rings_Oinverse__class_Oinverse(X1,X3)), inference(split_conjunct,[status(thm)],[i_0_2227]), ['final']).
% 247.18/174.26  cnf(i_0_3602, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X2|~class_Groups_Omonoid__mult(X1)), inference(split_conjunct,[status(thm)],[i_0_2228]), ['final']).
% 247.18/174.26  cnf(i_0_3603, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X2|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2229]), ['final']).
% 247.18/174.26  cnf(i_0_3604, plain, (v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))|hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_q),esk4_0)!=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[i_0_2114]), ['final']).
% 247.18/174.26  cnf(i_0_3605, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,c_Groups_Oone__class_Oone(tc_Nat_Onat))|X1!=c_Groups_Oone__class_Oone(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2130]), ['final']).
% 247.18/174.26  cnf(i_0_3606, plain, (c_Rings_Odvd__class_Odvd(X1,X2,X2)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2230]), ['final']).
% 247.18/174.26  cnf(i_0_3607, plain, (c_Groups_Oone__class_Oone(tc_Nat_Onat)=c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat))), inference(rw,[status(thm)],[i_0_2231, c_0_1298]), ['final']).
% 247.18/174.26  cnf(i_0_3608, plain, (c_Groups_Osgn__class_Osgn(X1,c_Groups_Osgn__class_Osgn(X1,X2))=c_Groups_Osgn__class_Osgn(X1,X2)|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2232]), ['final']).
% 247.18/174.26  cnf(i_0_3609, plain, (X2=X3|c_Polynomial_Opoly(X1,X2)!=c_Polynomial_Opoly(X1,X3)|~class_Int_Oring__char__0(X1)|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_2233]), ['final']).
% 247.18/174.26  cnf(i_0_3610, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X1!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X2!=c_Groups_Oone__class_Oone(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2176]), ['final']).
% 247.18/174.26  cnf(i_0_3611, plain, (c_Groups_Oone__class_Oone(tc_Nat_Onat)=hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)|X1!=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X2!=c_Groups_Oone__class_Oone(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2177]), ['final']).
% 247.18/174.26  cnf(i_0_3612, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_2234]), ['final']).
% 247.18/174.26  cnf(i_0_3613, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|c_Orderings_Oord__class_Oless(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_2127]), ['final']).
% 247.18/174.26  cnf(i_0_3614, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,X2)=X2|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1199]), ['final']).
% 247.18/174.26  cnf(i_0_3615, plain, (X1=c_Groups_Ozero__class_Ozero(tc_Int_Oint)|c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,X1)=c_Groups_Oone__class_Oone(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_2235]), ['final']).
% 247.18/174.26  cnf(i_0_3616, plain, (c_Orderings_Oord__class_Oless(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint))), inference(split_conjunct,[status(thm)],[fact_int__0__less__1]), ['final']).
% 247.18/174.26  cnf(i_0_3617, plain, (~class_Rings_Olinordered__idom(X1)|~c_Polynomial_Opos__poly(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))), inference(split_conjunct,[status(thm)],[i_0_2236]), ['final']).
% 247.18/174.26  cnf(i_0_3618, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_2237]), ['final']).
% 247.18/174.26  cnf(i_0_3619, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_2238]), ['final']).
% 247.18/174.26  cnf(i_0_3620, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2239]), ['final']).
% 247.18/174.26  cnf(i_0_3621, plain, (c_Divides_Odiv__class_Odiv(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_2240]), ['final']).
% 247.18/174.26  cnf(i_0_3622, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint),X1)=X1), inference(split_conjunct,[status(thm)],[i_0_2241]), ['final']).
% 247.18/174.26  cnf(i_0_3623, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat),X1)=X1), inference(split_conjunct,[status(thm)],[i_0_2242]), ['final']).
% 247.18/174.26  cnf(i_0_3624, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X1), inference(split_conjunct,[status(thm)],[i_0_2240]), ['final']).
% 247.18/174.26  cnf(i_0_3625, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1), inference(split_conjunct,[status(thm)],[i_0_2243]), ['final']).
% 247.18/174.26  cnf(i_0_3626, plain, (c_Groups_Oplus__class_Oplus(tc_Int_Oint,X1,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=X1), inference(split_conjunct,[status(thm)],[i_0_2244]), ['final']).
% 247.18/174.26  cnf(i_0_3627, plain, (c_Groups_Oplus__class_Oplus(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=X1), inference(split_conjunct,[status(thm)],[i_0_2245]), ['final']).
% 247.18/174.26  cnf(i_0_3628, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|X1!=X2), inference(split_conjunct,[status(thm)],[i_0_2246]), ['final']).
% 247.18/174.26  cnf(i_0_3629, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|X1!=X2), inference(split_conjunct,[status(thm)],[i_0_2004]), ['final']).
% 247.18/174.26  cnf(i_0_3630, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|X1!=X2), inference(split_conjunct,[status(thm)],[i_0_2005]), ['final']).
% 247.18/174.26  cnf(i_0_3631, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X2)|X2!=X1), inference(split_conjunct,[status(thm)],[i_0_2005]), ['final']).
% 247.18/174.26  cnf(i_0_3632, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,c_Groups_Oone__class_Oone(tc_Nat_Onat),X1)), inference(split_conjunct,[status(thm)],[i_0_2247]), ['final']).
% 247.18/174.26  cnf(i_0_3633, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))), inference(split_conjunct,[status(thm)],[i_0_2248]), ['final']).
% 247.18/174.26  cnf(i_0_3634, plain, (c_Groups_Ouminus__class_Ouminus(tc_Polynomial_Opoly(X1),c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2249]), ['final']).
% 247.18/174.26  cnf(i_0_3635, plain, (c_Groups_Osgn__class_Osgn(tc_Polynomial_Opoly(X2),X1)=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Rings_Olinordered__idom(X2)), inference(split_conjunct,[status(thm)],[i_0_1987]), ['final']).
% 247.18/174.26  cnf(i_0_3636, plain, (c_Divides_Odiv__class_Omod(tc_Int_Oint,X1,X1)=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[i_0_2250]), ['final']).
% 247.18/174.26  cnf(i_0_3637, plain, (c_Groups_Ominus__class_Ominus(tc_Nat_Onat,X1,X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2251]), ['final']).
% 247.18/174.26  cnf(i_0_3638, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Ozero__class_Ozero(tc_Nat_Onat)),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2252]), ['final']).
% 247.18/174.26  cnf(i_0_3639, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1413]), ['final']).
% 247.18/174.26  cnf(i_0_3640, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),X2)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2169]), ['final']).
% 247.18/174.26  cnf(i_0_3641, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X2),X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2169]), ['final']).
% 247.18/174.26  cnf(i_0_3642, plain, (hAPP(hAPP(c_Power_Opower__class_Opower(tc_Nat_Onat),X2),X1)=c_Groups_Oone__class_Oone(tc_Nat_Onat)|X1!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_1624]), ['final']).
% 247.18/174.26  cnf(i_0_3643, plain, (X2=X3|~class_Rings_Odivision__ring__inverse__zero(X1)|c_Rings_Oinverse__class_Oinverse(X1,X2)!=c_Rings_Oinverse__class_Oinverse(X1,X3)), inference(split_conjunct,[status(thm)],[i_0_2253]), ['final']).
% 247.18/174.26  cnf(i_0_3644, plain, (X2=X3|c_Rings_Oinverse__class_Oinverse(X1,X2)!=c_Rings_Oinverse__class_Oinverse(X1,X3)|~class_Rings_Odivision__ring__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_2254]), ['final']).
% 247.18/174.26  cnf(i_0_3645, plain, (X2=X3|c_Groups_Ouminus__class_Ouminus(X1,X2)!=c_Groups_Ouminus__class_Ouminus(X1,X3)|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2255]), ['final']).
% 247.18/174.26  cnf(i_0_3646, plain, (X2=X3|c_Polynomial_Ocoeff(X1,X2)!=c_Polynomial_Ocoeff(X1,X3)|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2256]), ['final']).
% 247.18/174.26  cnf(i_0_3647, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Oinverse(X1,c_Rings_Oinverse__class_Oinverse(X1,X2))=X2|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2257]), ['final']).
% 247.18/174.26  cnf(i_0_3648, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),c_Groups_Oone__class_Oone(tc_Int_Oint)),X1)=X1), inference(split_conjunct,[status(thm)],[i_0_2258]), ['final']).
% 247.18/174.26  cnf(i_0_3649, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),c_Groups_Oone__class_Oone(tc_Nat_Onat)),X1)=X1), inference(split_conjunct,[status(thm)],[i_0_2259]), ['final']).
% 247.18/174.26  cnf(i_0_3650, plain, (c_Orderings_Oord__class_Oless__eq(tc_Int_Oint,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2260]), ['final']).
% 247.18/174.26  cnf(i_0_3651, plain, (c_Rings_Odvd__class_Odvd(tc_Nat_Onat,X1,X1)), inference(split_conjunct,[status(thm)],[i_0_2261]), ['final']).
% 247.18/174.26  cnf(i_0_3652, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[i_0_2262]), ['final']).
% 247.18/174.26  cnf(i_0_3653, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Int_Oint),X1),c_Groups_Oone__class_Oone(tc_Int_Oint))=X1), inference(split_conjunct,[status(thm)],[i_0_2263]), ['final']).
% 247.18/174.26  cnf(i_0_3654, plain, (hAPP(hAPP(c_Groups_Otimes__class_Otimes(tc_Nat_Onat),X1),c_Groups_Oone__class_Oone(tc_Nat_Onat))=X1), inference(split_conjunct,[status(thm)],[i_0_2264]), ['final']).
% 247.18/174.26  cnf(i_0_3655, plain, (X1=X2|~hBOOL(c_fequal(X1,X2))), inference(split_conjunct,[status(thm)],[i_0_2265]), ['final']).
% 247.18/174.26  cnf(i_0_3656, plain, (c_Rings_Oinverse__class_Oinverse(X1,c_Rings_Oinverse__class_Oinverse(X1,X2))=X2|~class_Rings_Odivision__ring__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_2266]), ['final']).
% 247.18/174.26  cnf(i_0_3657, plain, (c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ouminus__class_Ouminus(X1,X2))=X2|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2267]), ['final']).
% 247.18/174.26  cnf(i_0_3658, plain, (c_Groups_Ouminus__class_Ouminus(X1,X3)=X2|c_Groups_Ouminus__class_Ouminus(X1,X2)!=X3|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2268]), ['final']).
% 247.18/174.26  cnf(i_0_3659, plain, (c_Groups_Ouminus__class_Ouminus(X1,X3)=X2|c_Groups_Ouminus__class_Ouminus(X1,X2)!=X3|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2268]), ['final']).
% 247.18/174.26  cnf(i_0_3660, plain, (X3=c_Groups_Ouminus__class_Ouminus(X2,X1)|X1!=c_Groups_Ouminus__class_Ouminus(X2,X3)|~class_Groups_Ogroup__add(X2)), inference(split_conjunct,[status(thm)],[i_0_2269]), ['final']).
% 247.18/174.26  cnf(i_0_3661, plain, (X3=c_Groups_Ouminus__class_Ouminus(X2,X1)|X1!=c_Groups_Ouminus__class_Ouminus(X2,X3)|~class_Groups_Ogroup__add(X2)), inference(split_conjunct,[status(thm)],[i_0_2269]), ['final']).
% 247.18/174.26  cnf(i_0_3662, plain, (X2=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1))|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X2)!=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2270]), ['final']).
% 247.18/174.26  cnf(i_0_3663, plain, (hAPP(c_Polynomial_Opoly(tc_Complex_Ocomplex,v_p),esk4_0)=c_Groups_Ozero__class_Ozero(tc_Complex_Ocomplex)|v_q=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))), inference(split_conjunct,[status(thm)],[i_0_2114]), ['final']).
% 247.18/174.26  cnf(i_0_3664, plain, (c_Polynomial_Odegree(X1,c_Groups_Oone__class_Oone(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2271]), ['final']).
% 247.18/174.26  cnf(i_0_3665, plain, (c_Polynomial_Odegree(X1,c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X1)))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2272]), ['final']).
% 247.18/174.26  cnf(i_0_3666, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Groups_Ozero(X2)), inference(split_conjunct,[status(thm)],[i_0_1273]), ['final']).
% 247.18/174.26  cnf(i_0_3667, plain, (c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X1)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)|X1!=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(X2))|~class_Groups_Ozero(X2)), inference(split_conjunct,[status(thm)],[i_0_2270]), ['final']).
% 247.18/174.26  cnf(i_0_3668, plain, (c_Groups_Ozero__class_Ozero(X1)=X2|c_Groups_Ozero__class_Ozero(X1)!=c_Groups_Ouminus__class_Ouminus(X1,X2)|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2273]), ['final']).
% 247.18/174.26  cnf(i_0_3669, plain, (X2=c_Groups_Oone__class_Oone(X1)|c_Rings_Oinverse__class_Oinverse(X1,X2)!=c_Groups_Oone__class_Oone(X1)|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_2274]), ['final']).
% 247.18/174.26  cnf(i_0_3670, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Osgn__class_Osgn(X1,X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1)), inference(split_conjunct,[status(thm)],[i_0_2275]), ['final']).
% 247.18/174.26  cnf(i_0_3671, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Osgn__class_Osgn(X1,X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2276]), ['final']).
% 247.18/174.26  cnf(i_0_3672, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1)|c_Rings_Oinverse__class_Oinverse(X1,X2)!=c_Groups_Ozero__class_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2277]), ['final']).
% 247.18/174.26  cnf(i_0_3673, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring(X1)|c_Rings_Oinverse__class_Oinverse(X1,X2)!=c_Groups_Ozero__class_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2278]), ['final']).
% 247.18/174.26  cnf(i_0_3674, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Rings_Oinverse__class_Oinverse(X1,X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_2279]), ['final']).
% 247.18/174.26  cnf(i_0_3675, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Ouminus__class_Ouminus(X1,X2)!=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2280]), ['final']).
% 247.18/174.26  cnf(i_0_3676, plain, (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,X1))=X1), inference(split_conjunct,[status(thm)],[i_0_2281]), ['final']).
% 247.18/174.26  cnf(i_0_3677, plain, (X2=c_Groups_Ozero__class_Ozero(X1)|c_Groups_Ouminus__class_Ouminus(X1,X2)!=X2|~class_Groups_Olinordered__ab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2282]), ['final']).
% 247.18/174.26  cnf(i_0_3678, plain, (X1=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ouminus__class_Ouminus(X2,X1)|~class_Groups_Olinordered__ab__group__add(X2)), inference(split_conjunct,[status(thm)],[i_0_2283]), ['final']).
% 247.18/174.26  cnf(i_0_3679, plain, (hBOOL(c_fequal(X1,X2))|X1!=X2), inference(split_conjunct,[status(thm)],[i_0_2284]), ['final']).
% 247.18/174.26  cnf(i_0_3680, plain, (c_Groups_Osgn__class_Osgn(X2,X1)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Osgn__if(X2)), inference(split_conjunct,[status(thm)],[i_0_2074]), ['final']).
% 247.18/174.26  cnf(i_0_3681, plain, (c_Groups_Osgn__class_Osgn(X2,X1)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_RealVector_Oreal__normed__vector(X2)), inference(split_conjunct,[status(thm)],[i_0_2275]), ['final']).
% 247.18/174.26  cnf(i_0_3682, plain, (c_Groups_Osgn__class_Osgn(X2,X1)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Olinordered__idom(X2)), inference(split_conjunct,[status(thm)],[i_0_2276]), ['final']).
% 247.18/174.26  cnf(i_0_3683, plain, (c_Rings_Oinverse__class_Oinverse(X2,X1)=c_Groups_Oone__class_Oone(X2)|X1!=c_Groups_Oone__class_Oone(X2)|~class_Fields_Ofield__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2274]), ['final']).
% 247.18/174.26  cnf(i_0_3684, plain, (c_Rings_Oinverse__class_Oinverse(X2,X1)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Rings_Odivision__ring__inverse__zero(X2)), inference(split_conjunct,[status(thm)],[i_0_2279]), ['final']).
% 247.18/174.26  cnf(i_0_3685, plain, (c_Groups_Ouminus__class_Ouminus(X2,X1)=c_Groups_Ozero__class_Ozero(X2)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Ogroup__add(X2)), inference(split_conjunct,[status(thm)],[i_0_2280]), ['final']).
% 247.18/174.26  cnf(i_0_3686, plain, (c_Groups_Ozero__class_Ozero(X1)=c_Groups_Ouminus__class_Ouminus(X1,X2)|c_Groups_Ozero__class_Ozero(X1)!=X2|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2273]), ['final']).
% 247.18/174.26  cnf(i_0_3687, plain, (c_Groups_Osgn__class_Osgn(X1,c_Groups_Oone__class_Oone(X1))=c_Groups_Oone__class_Oone(X1)|~class_RealVector_Oreal__normed__algebra__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2285]), ['final']).
% 247.18/174.26  cnf(i_0_3688, plain, (c_Groups_Osgn__class_Osgn(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Osgn__if(X1)), inference(split_conjunct,[status(thm)],[i_0_2286]), ['final']).
% 247.18/174.26  cnf(i_0_3689, plain, (c_Groups_Osgn__class_Osgn(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_RealVector_Oreal__normed__vector(X1)), inference(split_conjunct,[status(thm)],[i_0_2287]), ['final']).
% 247.18/174.26  cnf(i_0_3690, plain, (c_Rings_Oinverse__class_Oinverse(X1,c_Groups_Oone__class_Oone(X1))=c_Groups_Oone__class_Oone(X1)|~class_Rings_Odivision__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2288]), ['final']).
% 247.18/174.26  cnf(i_0_3691, plain, (c_Rings_Oinverse__class_Oinverse(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Fields_Ofield__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_2289]), ['final']).
% 247.18/174.26  cnf(i_0_3692, plain, (c_Rings_Oinverse__class_Oinverse(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Rings_Odivision__ring__inverse__zero(X1)), inference(split_conjunct,[status(thm)],[i_0_2290]), ['final']).
% 247.18/174.26  cnf(i_0_3693, plain, (c_Groups_Ouminus__class_Ouminus(X1,c_Groups_Ozero__class_Ozero(X1))=c_Groups_Ozero__class_Ozero(X1)|~class_Groups_Ogroup__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2291]), ['final']).
% 247.18/174.26  cnf(i_0_3694, plain, (c_Groups_Ouminus__class_Ouminus(X2,X1)=X1|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Olinordered__ab__group__add(X2)), inference(split_conjunct,[status(thm)],[i_0_2282]), ['final']).
% 247.18/174.26  cnf(i_0_3695, plain, (X1=c_Groups_Ouminus__class_Ouminus(X2,X1)|X1!=c_Groups_Ozero__class_Ozero(X2)|~class_Groups_Olinordered__ab__group__add(X2)), inference(split_conjunct,[status(thm)],[i_0_2283]), ['final']).
% 247.18/174.26  cnf(i_0_3696, plain, (~class_Rings_Ozero__neq__one(X1)|c_Groups_Oone__class_Oone(X1)!=c_Groups_Ozero__class_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2292]), ['final']).
% 247.18/174.26  cnf(i_0_3697, plain, (~class_Rings_Ozero__neq__one(X1)|c_Groups_Ozero__class_Ozero(X1)!=c_Groups_Oone__class_Oone(X1)), inference(split_conjunct,[status(thm)],[i_0_2293]), ['final']).
% 247.18/174.26  cnf(i_0_3698, plain, (c_Nat_Osize__class_Osize(tc_Nat_Onat,c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[fact_nat_Osize_I3_J]), ['final']).
% 247.18/174.26  cnf(i_0_3699, plain, (c_Groups_Ouminus__class_Ouminus(tc_Int_Oint,c_Groups_Ozero__class_Ozero(tc_Int_Oint))=c_Groups_Ozero__class_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[fact_zminus__0]), ['final']).
% 247.18/174.26  cnf(i_0_3700, plain, (class_Groups_Ocancel__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_Groups_Ocancel__comm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2294]), ['final']).
% 247.18/174.26  cnf(i_0_3701, plain, (class_Rings_Olinordered__semiring(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2295]), ['final']).
% 247.18/174.26  cnf(i_0_3702, plain, (class_Groups_Oordered__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2296]), ['final']).
% 247.18/174.26  cnf(i_0_3703, plain, (class_Rings_Oordered__comm__semiring(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2297]), ['final']).
% 247.18/174.26  cnf(i_0_3704, plain, (class_Rings_Oordered__semiring(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2298]), ['final']).
% 247.18/174.26  cnf(i_0_3705, plain, (class_Rings_Oordered__cancel__semiring(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2299]), ['final']).
% 247.18/174.26  cnf(i_0_3706, plain, (class_Groups_Osgn__if(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2300]), ['final']).
% 247.18/174.26  cnf(i_0_3707, plain, (class_Divides_Oring__div(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_2301]), ['final']).
% 247.18/174.26  cnf(i_0_3708, plain, (class_Divides_Osemiring__div(tc_Polynomial_Opoly(X1))|~class_Fields_Ofield(X1)), inference(split_conjunct,[status(thm)],[i_0_2302]), ['final']).
% 247.18/174.26  cnf(i_0_3709, plain, (class_Rings_Oordered__ring(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2303]), ['final']).
% 247.18/174.26  cnf(i_0_3710, plain, (class_Groups_Oordered__comm__monoid__add(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2304]), ['final']).
% 247.18/174.26  cnf(i_0_3711, plain, (class_Rings_Olinordered__ring(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2305]), ['final']).
% 247.18/174.26  cnf(i_0_3712, plain, (class_Rings_Olinordered__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2306]), ['final']).
% 247.18/174.26  cnf(i_0_3713, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2307]), ['final']).
% 247.18/174.26  cnf(i_0_3714, plain, (class_Rings_Olinordered__semidom(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2308]), ['final']).
% 247.18/174.26  cnf(i_0_3715, plain, (class_Rings_Olinordered__idom(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2309]), ['final']).
% 247.18/174.26  cnf(i_0_3716, plain, (class_Groups_Oordered__ab__group__add(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2310]), ['final']).
% 247.18/174.26  cnf(i_0_3717, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2311]), ['final']).
% 247.18/174.26  cnf(i_0_3718, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2312]), ['final']).
% 247.18/174.26  cnf(i_0_3719, plain, (class_Rings_Oring__1(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__ring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2313]), ['final']).
% 247.18/174.26  cnf(i_0_3720, plain, (class_Rings_Oring(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2314]), ['final']).
% 247.18/174.26  cnf(i_0_3721, plain, (class_Groups_Ogroup__add(tc_Polynomial_Opoly(X1))|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2315]), ['final']).
% 247.18/174.26  cnf(i_0_3722, plain, (class_Rings_Ocomm__ring(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__ring(X1)), inference(split_conjunct,[status(thm)],[i_0_2316]), ['final']).
% 247.18/174.26  cnf(i_0_3723, plain, (class_Groups_Oab__group__add(tc_Polynomial_Opoly(X1))|~class_Groups_Oab__group__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2317]), ['final']).
% 247.18/174.26  cnf(i_0_3724, plain, (class_Groups_Oone(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2318]), ['final']).
% 247.18/174.26  cnf(i_0_3725, plain, (class_Rings_Ocomm__ring__1(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__ring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2319]), ['final']).
% 247.18/174.26  cnf(i_0_3726, plain, (class_Groups_Ocomm__monoid__mult(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2320]), ['final']).
% 247.18/174.26  cnf(i_0_3727, plain, (class_Rings_Oring__1__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_2321]), ['final']).
% 247.18/174.26  cnf(i_0_3728, plain, (class_Rings_Ocomm__semiring(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2322]), ['final']).
% 247.18/174.26  cnf(i_0_3729, plain, (class_Rings_Osemiring(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2323]), ['final']).
% 247.18/174.26  cnf(i_0_3730, plain, (class_Rings_Oring__no__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_2324]), ['final']).
% 247.18/174.26  cnf(i_0_3731, plain, (class_Groups_Omonoid__mult(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2325]), ['final']).
% 247.18/174.26  cnf(i_0_3732, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_2326]), ['final']).
% 247.18/174.26  cnf(i_0_3733, plain, (class_Rings_Olinordered__ring__strict(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2327]), ['final']).
% 247.18/174.26  cnf(i_0_3734, plain, (class_Rings_Ozero__neq__one(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2328]), ['final']).
% 247.18/174.26  cnf(i_0_3735, plain, (class_Rings_Ono__zero__divisors(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_2329]), ['final']).
% 247.18/174.26  cnf(i_0_3736, plain, (class_Rings_Omult__zero(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2330]), ['final']).
% 247.18/174.26  cnf(i_0_3737, plain, (class_Power_Opower(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2331]), ['final']).
% 247.18/174.26  cnf(i_0_3738, plain, (class_Rings_Osemiring__0(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2332]), ['final']).
% 247.18/174.26  cnf(i_0_3739, plain, (class_Rings_Odvd(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2333]), ['final']).
% 247.18/174.26  cnf(i_0_3740, plain, (class_Groups_Olinordered__ab__group__add(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2334]), ['final']).
% 247.18/174.26  cnf(i_0_3741, plain, (class_Groups_Omonoid__add(tc_Polynomial_Opoly(X1))|~class_Groups_Ocomm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2335]), ['final']).
% 247.18/174.26  cnf(i_0_3742, plain, (class_Rings_Ocomm__semiring__1(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__1(X1)), inference(split_conjunct,[status(thm)],[i_0_2336]), ['final']).
% 247.18/174.26  cnf(i_0_3743, plain, (class_Groups_Oab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Groups_Ocomm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2337]), ['final']).
% 247.18/174.26  cnf(i_0_3744, plain, (class_Groups_Oab__semigroup__mult(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2338]), ['final']).
% 247.18/174.26  cnf(i_0_3745, plain, (class_Groups_Ocomm__monoid__add(tc_Polynomial_Opoly(X1))|~class_Groups_Ocomm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2339]), ['final']).
% 247.18/174.26  cnf(i_0_3746, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Groups_Ocancel__comm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2340]), ['final']).
% 247.18/174.26  cnf(i_0_3747, plain, (class_Groups_Ocancel__semigroup__add(tc_Polynomial_Opoly(X1))|~class_Groups_Ocancel__comm__monoid__add(X1)), inference(split_conjunct,[status(thm)],[i_0_2341]), ['final']).
% 247.18/174.26  cnf(i_0_3748, plain, (class_Int_Oring__char__0(tc_Polynomial_Opoly(X1))|~class_Rings_Olinordered__idom(X1)), inference(split_conjunct,[status(thm)],[i_0_2342]), ['final']).
% 247.18/174.26  cnf(i_0_3749, plain, (class_Rings_Oidom(tc_Polynomial_Opoly(X1))|~class_Rings_Oidom(X1)), inference(split_conjunct,[status(thm)],[i_0_2343]), ['final']).
% 247.18/174.26  cnf(i_0_3750, plain, (class_Rings_Ocomm__semiring__0(tc_Polynomial_Opoly(X1))|~class_Rings_Ocomm__semiring__0(X1)), inference(split_conjunct,[status(thm)],[i_0_2344]), ['final']).
% 247.18/174.26  cnf(i_0_3751, plain, (class_Groups_Ozero(tc_Polynomial_Opoly(X1))|~class_Groups_Ozero(X1)), inference(split_conjunct,[status(thm)],[i_0_2345]), ['final']).
% 247.18/174.26  cnf(i_0_3752, plain, (c_Nat_Osize__class_Osize(tc_Nat_Onat,X1)=X1), inference(split_conjunct,[status(thm)],[i_0_2346]), ['final']).
% 247.18/174.26  cnf(i_0_3753, plain, (c_Nat_Onat_Onat__size(c_Groups_Ozero__class_Ozero(tc_Nat_Onat))=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[fact_nat_Osize_I1_J]), ['final']).
% 247.18/174.26  cnf(i_0_3754, plain, (c_Groups_Ozero__class_Ozero(tc_Int_Oint)!=c_Groups_Oone__class_Oone(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[fact_int__0__neq__1]), ['final']).
% 247.18/174.26  cnf(i_0_3755, plain, (v_p=c_Groups_Ozero__class_Ozero(tc_Polynomial_Opoly(tc_Complex_Ocomplex))), inference(split_conjunct,[status(thm)],[fact_pe]), ['final']).
% 247.18/174.26  cnf(i_0_3756, plain, (c_HOL_Obool_Obool__size(c_fFalse)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[fact_bool_Osize_I2_J]), ['final']).
% 247.18/174.26  cnf(i_0_3757, plain, (c_HOL_Obool_Obool__size(c_fTrue)=c_Groups_Ozero__class_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[fact_bool_Osize_I1_J]), ['final']).
% 247.18/174.26  cnf(i_0_3758, plain, (~hBOOL(c_fFalse)), inference(split_conjunct,[status(thm)],[i_0_2347]), ['final']).
% 247.18/174.26  cnf(i_0_3759, plain, (class_Groups_Ocancel__comm__monoid__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ocancel__comm__monoid__add]), ['final']).
% 247.18/174.26  cnf(i_0_3760, plain, (class_Groups_Ocancel__comm__monoid__add(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ocancel__comm__monoid__add]), ['final']).
% 247.18/174.26  cnf(i_0_3761, plain, (class_Groups_Ocancel__comm__monoid__add(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocancel__comm__monoid__add]), ['final']).
% 247.18/174.26  cnf(i_0_3762, plain, (class_Rings_Olinordered__semiring(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__semiring]), ['final']).
% 247.18/174.26  cnf(i_0_3763, plain, (class_Rings_Olinordered__semiring(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Olinordered__semiring]), ['final']).
% 247.18/174.26  cnf(i_0_3764, plain, (class_Groups_Oordered__ab__semigroup__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oordered__ab__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3765, plain, (class_Groups_Oordered__ab__semigroup__add(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oordered__ab__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3766, plain, (class_Rings_Oordered__comm__semiring(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__comm__semiring]), ['final']).
% 247.18/174.26  cnf(i_0_3767, plain, (class_Rings_Oordered__comm__semiring(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Oordered__comm__semiring]), ['final']).
% 247.18/174.26  cnf(i_0_3768, plain, (class_Rings_Oordered__semiring(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__semiring]), ['final']).
% 247.18/174.26  cnf(i_0_3769, plain, (class_Rings_Oordered__semiring(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Oordered__semiring]), ['final']).
% 247.18/174.26  cnf(i_0_3770, plain, (class_Rings_Oordered__cancel__semiring(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__cancel__semiring]), ['final']).
% 247.18/174.26  cnf(i_0_3771, plain, (class_Rings_Oordered__cancel__semiring(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Oordered__cancel__semiring]), ['final']).
% 247.18/174.26  cnf(i_0_3772, plain, (class_Groups_Osgn__if(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Osgn__if]), ['final']).
% 247.18/174.26  cnf(i_0_3773, plain, (class_RealVector_Oreal__normed__div__algebra(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__div__algebra]), ['final']).
% 247.18/174.26  cnf(i_0_3774, plain, (class_RealVector_Oreal__normed__vector(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__vector]), ['final']).
% 247.18/174.26  cnf(i_0_3775, plain, (class_RealVector_Oreal__normed__algebra__1(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra__1]), ['final']).
% 247.18/174.26  cnf(i_0_3776, plain, (class_Divides_Oring__div(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Divides_Oring__div]), ['final']).
% 247.18/174.26  cnf(i_0_3777, plain, (class_Divides_Osemiring__div(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Divides_Osemiring__div]), ['final']).
% 247.18/174.26  cnf(i_0_3778, plain, (class_Divides_Osemiring__div(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Divides_Osemiring__div]), ['final']).
% 247.18/174.26  cnf(i_0_3779, plain, (class_RealVector_Oreal__field(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__field]), ['final']).
% 247.18/174.26  cnf(i_0_3780, plain, (class_RealVector_Oreal__normed__field(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__field]), ['final']).
% 247.18/174.26  cnf(i_0_3781, plain, (class_Fields_Ofield__inverse__zero(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield__inverse__zero]), ['final']).
% 247.18/174.26  cnf(i_0_3782, plain, (class_Rings_Oordered__ring(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oordered__ring]), ['final']).
% 247.18/174.26  cnf(i_0_3783, plain, (class_Groups_Oordered__comm__monoid__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oordered__comm__monoid__add]), ['final']).
% 247.18/174.26  cnf(i_0_3784, plain, (class_Groups_Oordered__comm__monoid__add(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oordered__comm__monoid__add]), ['final']).
% 247.18/174.26  cnf(i_0_3785, plain, (class_Rings_Olinordered__ring(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__ring]), ['final']).
% 247.18/174.26  cnf(i_0_3786, plain, (class_Rings_Olinordered__semiring__strict(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__semiring__strict]), ['final']).
% 247.18/174.26  cnf(i_0_3787, plain, (class_Rings_Olinordered__semiring__strict(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Olinordered__semiring__strict]), ['final']).
% 247.18/174.26  cnf(i_0_3788, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__comm__semiring__strict]), ['final']).
% 247.18/174.26  cnf(i_0_3789, plain, (class_Rings_Olinordered__comm__semiring__strict(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Olinordered__comm__semiring__strict]), ['final']).
% 247.18/174.26  cnf(i_0_3790, plain, (class_Rings_Olinordered__semidom(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__semidom]), ['final']).
% 247.18/174.26  cnf(i_0_3791, plain, (class_Rings_Olinordered__semidom(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Olinordered__semidom]), ['final']).
% 247.18/174.26  cnf(i_0_3792, plain, (class_Rings_Odivision__ring(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Odivision__ring]), ['final']).
% 247.18/174.26  cnf(i_0_3793, plain, (class_Rings_Olinordered__idom(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__idom]), ['final']).
% 247.18/174.26  cnf(i_0_3794, plain, (class_Rings_Odivision__ring__inverse__zero(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Odivision__ring__inverse__zero]), ['final']).
% 247.18/174.26  cnf(i_0_3795, plain, (class_Groups_Oordered__ab__group__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oordered__ab__group__add]), ['final']).
% 247.18/174.26  cnf(i_0_3796, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oordered__cancel__ab__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3797, plain, (class_Groups_Oordered__cancel__ab__semigroup__add(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oordered__cancel__ab__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3798, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oordered__ab__semigroup__add__imp__le]), ['final']).
% 247.18/174.26  cnf(i_0_3799, plain, (class_Groups_Oordered__ab__semigroup__add__imp__le(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oordered__ab__semigroup__add__imp__le]), ['final']).
% 247.18/174.26  cnf(i_0_3800, plain, (class_Rings_Oring__1(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oring__1]), ['final']).
% 247.18/174.26  cnf(i_0_3801, plain, (class_Rings_Oring__1(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring__1]), ['final']).
% 247.18/174.26  cnf(i_0_3802, plain, (class_Rings_Oring(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oring]), ['final']).
% 247.18/174.26  cnf(i_0_3803, plain, (class_Rings_Oring(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring]), ['final']).
% 247.18/174.26  cnf(i_0_3804, plain, (class_Groups_Ogroup__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ogroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3805, plain, (class_Groups_Ogroup__add(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ogroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3806, plain, (class_Rings_Ocomm__ring(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__ring]), ['final']).
% 247.18/174.26  cnf(i_0_3807, plain, (class_Rings_Ocomm__ring(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__ring]), ['final']).
% 247.18/174.26  cnf(i_0_3808, plain, (class_Groups_Oab__group__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oab__group__add]), ['final']).
% 247.18/174.26  cnf(i_0_3809, plain, (class_Groups_Oab__group__add(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oab__group__add]), ['final']).
% 247.18/174.26  cnf(i_0_3810, plain, (class_Groups_Oone(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oone]), ['final']).
% 247.18/174.26  cnf(i_0_3811, plain, (class_Groups_Oone(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oone]), ['final']).
% 247.18/174.26  cnf(i_0_3812, plain, (class_Groups_Oone(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oone]), ['final']).
% 247.18/174.26  cnf(i_0_3813, plain, (class_Rings_Ocomm__ring__1(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__ring__1]), ['final']).
% 247.18/174.26  cnf(i_0_3814, plain, (class_Rings_Ocomm__ring__1(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__ring__1]), ['final']).
% 247.18/174.26  cnf(i_0_3815, plain, (class_RealVector_Oreal__normed__algebra(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__RealVector_Oreal__normed__algebra]), ['final']).
% 247.18/174.26  cnf(i_0_3816, plain, (class_Groups_Ocomm__monoid__mult(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ocomm__monoid__mult]), ['final']).
% 247.18/174.26  cnf(i_0_3817, plain, (class_Groups_Ocomm__monoid__mult(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ocomm__monoid__mult]), ['final']).
% 247.18/174.26  cnf(i_0_3818, plain, (class_Groups_Ocomm__monoid__mult(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocomm__monoid__mult]), ['final']).
% 247.18/174.26  cnf(i_0_3819, plain, (class_Rings_Oring__1__no__zero__divisors(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oring__1__no__zero__divisors]), ['final']).
% 247.18/174.26  cnf(i_0_3820, plain, (class_Rings_Oring__1__no__zero__divisors(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring__1__no__zero__divisors]), ['final']).
% 247.18/174.26  cnf(i_0_3821, plain, (class_Rings_Ocomm__semiring(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__semiring]), ['final']).
% 247.18/174.26  cnf(i_0_3822, plain, (class_Rings_Ocomm__semiring(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ocomm__semiring]), ['final']).
% 247.18/174.26  cnf(i_0_3823, plain, (class_Rings_Ocomm__semiring(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring]), ['final']).
% 247.18/174.26  cnf(i_0_3824, plain, (class_Rings_Osemiring(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Osemiring]), ['final']).
% 247.18/174.26  cnf(i_0_3825, plain, (class_Rings_Osemiring(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Osemiring]), ['final']).
% 247.18/174.26  cnf(i_0_3826, plain, (class_Rings_Osemiring(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Osemiring]), ['final']).
% 247.18/174.26  cnf(i_0_3827, plain, (class_Rings_Oring__no__zero__divisors(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oring__no__zero__divisors]), ['final']).
% 247.18/174.26  cnf(i_0_3828, plain, (class_Rings_Oring__no__zero__divisors(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oring__no__zero__divisors]), ['final']).
% 247.18/174.26  cnf(i_0_3829, plain, (class_Groups_Omonoid__mult(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Omonoid__mult]), ['final']).
% 247.18/174.26  cnf(i_0_3830, plain, (class_Groups_Omonoid__mult(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Omonoid__mult]), ['final']).
% 247.18/174.26  cnf(i_0_3831, plain, (class_Groups_Omonoid__mult(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Omonoid__mult]), ['final']).
% 247.18/174.26  cnf(i_0_3832, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct]), ['final']).
% 247.18/174.26  cnf(i_0_3833, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct]), ['final']).
% 247.18/174.26  cnf(i_0_3834, plain, (class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct]), ['final']).
% 247.18/174.26  cnf(i_0_3835, plain, (class_Rings_Olinordered__ring__strict(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Olinordered__ring__strict]), ['final']).
% 247.18/174.26  cnf(i_0_3836, plain, (class_Rings_Ozero__neq__one(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ozero__neq__one]), ['final']).
% 247.18/174.26  cnf(i_0_3837, plain, (class_Rings_Ozero__neq__one(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ozero__neq__one]), ['final']).
% 247.18/174.26  cnf(i_0_3838, plain, (class_Rings_Ozero__neq__one(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ozero__neq__one]), ['final']).
% 247.18/174.26  cnf(i_0_3839, plain, (class_Rings_Ono__zero__divisors(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ono__zero__divisors]), ['final']).
% 247.18/174.26  cnf(i_0_3840, plain, (class_Rings_Ono__zero__divisors(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ono__zero__divisors]), ['final']).
% 247.18/174.26  cnf(i_0_3841, plain, (class_Rings_Ono__zero__divisors(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ono__zero__divisors]), ['final']).
% 247.18/174.26  cnf(i_0_3842, plain, (class_Rings_Omult__zero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Omult__zero]), ['final']).
% 247.18/174.26  cnf(i_0_3843, plain, (class_Rings_Omult__zero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Omult__zero]), ['final']).
% 247.18/174.26  cnf(i_0_3844, plain, (class_Rings_Omult__zero(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Omult__zero]), ['final']).
% 247.18/174.26  cnf(i_0_3845, plain, (class_Power_Opower(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Power_Opower]), ['final']).
% 247.18/174.26  cnf(i_0_3846, plain, (class_Power_Opower(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Power_Opower]), ['final']).
% 247.18/174.26  cnf(i_0_3847, plain, (class_Power_Opower(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Power_Opower]), ['final']).
% 247.18/174.26  cnf(i_0_3848, plain, (hBOOL(c_fTrue)), inference(split_conjunct,[status(thm)],[help_c__fTrue__1]), ['final']).
% 247.18/174.26  cnf(i_0_3849, plain, (class_Rings_Osemiring__0(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Osemiring__0]), ['final']).
% 247.18/174.26  cnf(i_0_3850, plain, (class_Rings_Osemiring__0(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Osemiring__0]), ['final']).
% 247.18/174.26  cnf(i_0_3851, plain, (class_Rings_Osemiring__0(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Osemiring__0]), ['final']).
% 247.18/174.26  cnf(i_0_3852, plain, (class_Rings_Odvd(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Odvd]), ['final']).
% 247.18/174.26  cnf(i_0_3853, plain, (class_Rings_Odvd(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Odvd]), ['final']).
% 247.18/174.26  cnf(i_0_3854, plain, (class_Rings_Odvd(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Odvd]), ['final']).
% 247.18/174.26  cnf(i_0_3855, plain, (class_Groups_Olinordered__ab__group__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Olinordered__ab__group__add]), ['final']).
% 247.18/174.26  cnf(i_0_3856, plain, (class_Groups_Omonoid__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Omonoid__add]), ['final']).
% 247.18/174.26  cnf(i_0_3857, plain, (class_Groups_Omonoid__add(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Omonoid__add]), ['final']).
% 247.18/174.26  cnf(i_0_3858, plain, (class_Groups_Omonoid__add(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Omonoid__add]), ['final']).
% 247.18/174.26  cnf(i_0_3859, plain, (class_Rings_Ocomm__semiring__1(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__semiring__1]), ['final']).
% 247.18/174.26  cnf(i_0_3860, plain, (class_Rings_Ocomm__semiring__1(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ocomm__semiring__1]), ['final']).
% 247.18/174.26  cnf(i_0_3861, plain, (class_Rings_Ocomm__semiring__1(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__1]), ['final']).
% 247.18/174.26  cnf(i_0_3862, plain, (class_Groups_Oab__semigroup__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oab__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3863, plain, (class_Groups_Oab__semigroup__add(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oab__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3864, plain, (class_Groups_Oab__semigroup__add(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oab__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3865, plain, (class_Groups_Oab__semigroup__mult(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Oab__semigroup__mult]), ['final']).
% 247.18/174.26  cnf(i_0_3866, plain, (class_Groups_Oab__semigroup__mult(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Oab__semigroup__mult]), ['final']).
% 247.18/174.26  cnf(i_0_3867, plain, (class_Groups_Oab__semigroup__mult(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Oab__semigroup__mult]), ['final']).
% 247.18/174.26  cnf(i_0_3868, plain, (class_Groups_Ocomm__monoid__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ocomm__monoid__add]), ['final']).
% 247.18/174.26  cnf(i_0_3869, plain, (class_Groups_Ocomm__monoid__add(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ocomm__monoid__add]), ['final']).
% 247.18/174.26  cnf(i_0_3870, plain, (class_Groups_Ocomm__monoid__add(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocomm__monoid__add]), ['final']).
% 247.18/174.26  cnf(i_0_3871, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ocancel__ab__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3872, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ocancel__ab__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3873, plain, (class_Groups_Ocancel__ab__semigroup__add(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocancel__ab__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3874, plain, (class_Groups_Ocancel__semigroup__add(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ocancel__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3875, plain, (class_Groups_Ocancel__semigroup__add(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ocancel__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3876, plain, (class_Groups_Ocancel__semigroup__add(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ocancel__semigroup__add]), ['final']).
% 247.18/174.26  cnf(i_0_3877, plain, (class_Fields_Ofield(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Fields_Ofield]), ['final']).
% 247.18/174.26  cnf(i_0_3878, plain, (class_Int_Oring__char__0(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Int_Oring__char__0]), ['final']).
% 247.18/174.26  cnf(i_0_3879, plain, (class_Int_Oring__char__0(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Int_Oring__char__0]), ['final']).
% 247.18/174.26  cnf(i_0_3880, plain, (class_Rings_Oidom(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Oidom]), ['final']).
% 247.18/174.26  cnf(i_0_3881, plain, (class_Rings_Oidom(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Oidom]), ['final']).
% 247.18/174.26  cnf(i_0_3882, plain, (class_Rings_Ocomm__semiring__0(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Rings_Ocomm__semiring__0]), ['final']).
% 247.18/174.26  cnf(i_0_3883, plain, (class_Rings_Ocomm__semiring__0(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Rings_Ocomm__semiring__0]), ['final']).
% 247.18/174.26  cnf(i_0_3884, plain, (class_Rings_Ocomm__semiring__0(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Rings_Ocomm__semiring__0]), ['final']).
% 247.18/174.26  cnf(i_0_3885, plain, (class_Groups_Ozero(tc_Int_Oint)), inference(split_conjunct,[status(thm)],[arity_Int__Oint__Groups_Ozero]), ['final']).
% 247.18/174.26  cnf(i_0_3886, plain, (class_Groups_Ozero(tc_Nat_Onat)), inference(split_conjunct,[status(thm)],[arity_Nat__Onat__Groups_Ozero]), ['final']).
% 247.18/174.26  cnf(i_0_3887, plain, (class_Groups_Ozero(tc_Complex_Ocomplex)), inference(split_conjunct,[status(thm)],[arity_Complex__Ocomplex__Groups_Ozero]), ['final']).
% 247.18/174.26  cnf(i_0_3888, axiom, (X1=X1)).
% 247.18/174.26  cnf(i_0_3889, axiom, (X1=X2|X2!=X1)).
% 247.18/174.26  cnf(i_0_3890, axiom, (X1=X2|X1!=X3|X3!=X2)).
% 247.18/174.26  cnf(i_0_3891, axiom, (X1!=X2|c_Groups_Ozero__class_Ozero(X1)=c_Groups_Ozero__class_Ozero(X2))).
% 247.18/174.26  cnf(i_0_3892, axiom, (X1!=X2|c_Polynomial_Odegree(X1,X3)=c_Polynomial_Odegree(X2,X3))).
% 247.18/174.26  cnf(i_0_3893, axiom, (X1!=X2|c_Polynomial_Odegree(X3,X1)=c_Polynomial_Odegree(X3,X2))).
% 247.18/174.26  cnf(i_0_3894, axiom, (X1!=X2|c_Polynomial_Opoly__rec(X1,X3,X4,X5,X6)=c_Polynomial_Opoly__rec(X2,X3,X4,X5,X6))).
% 247.18/174.26  cnf(i_0_3895, axiom, (X1!=X2|c_Polynomial_Opoly__rec(X3,X1,X4,X5,X6)=c_Polynomial_Opoly__rec(X3,X2,X4,X5,X6))).
% 247.18/174.26  cnf(i_0_3896, axiom, (X1!=X2|c_Polynomial_Opoly__rec(X3,X4,X1,X5,X6)=c_Polynomial_Opoly__rec(X3,X4,X2,X5,X6))).
% 247.18/174.26  cnf(i_0_3897, axiom, (X1!=X2|c_Polynomial_Opoly__rec(X3,X4,X5,X1,X6)=c_Polynomial_Opoly__rec(X3,X4,X5,X2,X6))).
% 247.18/174.26  cnf(i_0_3898, axiom, (X1!=X2|c_Polynomial_Opoly__rec(X3,X4,X5,X6,X1)=c_Polynomial_Opoly__rec(X3,X4,X5,X6,X2))).
% 247.18/174.26  cnf(i_0_3899, axiom, (X1!=X2|c_Groups_Oplus__class_Oplus(X1,X3,X4)=c_Groups_Oplus__class_Oplus(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3900, axiom, (X1!=X2|c_Groups_Oplus__class_Oplus(X3,X1,X4)=c_Groups_Oplus__class_Oplus(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3901, axiom, (X1!=X2|c_Groups_Oplus__class_Oplus(X3,X4,X1)=c_Groups_Oplus__class_Oplus(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3902, axiom, (X1!=X2|c_Power_Opower__class_Opower(X1)=c_Power_Opower__class_Opower(X2))).
% 247.18/174.26  cnf(i_0_3903, axiom, (X1!=X2|c_Groups_Ouminus__class_Ouminus(X1,X3)=c_Groups_Ouminus__class_Ouminus(X2,X3))).
% 247.18/174.26  cnf(i_0_3904, axiom, (X1!=X2|c_Groups_Ouminus__class_Ouminus(X3,X1)=c_Groups_Ouminus__class_Ouminus(X3,X2))).
% 247.18/174.26  cnf(i_0_3905, axiom, (X1!=X2|c_Groups_Oone__class_Oone(X1)=c_Groups_Oone__class_Oone(X2))).
% 247.18/174.26  cnf(i_0_3906, axiom, (X1!=X2|c_Polynomial_Oorder(X1,X3,X4)=c_Polynomial_Oorder(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3907, axiom, (X1!=X2|c_Polynomial_Oorder(X3,X1,X4)=c_Polynomial_Oorder(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3908, axiom, (X1!=X2|c_Polynomial_Oorder(X3,X4,X1)=c_Polynomial_Oorder(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3909, axiom, (X1!=X2|c_Rings_Oinverse__class_Oinverse(X1,X3)=c_Rings_Oinverse__class_Oinverse(X2,X3))).
% 247.18/174.26  cnf(i_0_3910, axiom, (X1!=X2|c_Rings_Oinverse__class_Oinverse(X3,X1)=c_Rings_Oinverse__class_Oinverse(X3,X2))).
% 247.18/174.26  cnf(i_0_3911, axiom, (X1!=X2|c_Polynomial_Opoly(X1,X3)=c_Polynomial_Opoly(X2,X3))).
% 247.18/174.26  cnf(i_0_3912, axiom, (X1!=X2|c_Polynomial_Opoly(X3,X1)=c_Polynomial_Opoly(X3,X2))).
% 247.18/174.26  cnf(i_0_3913, axiom, (X1!=X2|esk11_2(X1,X3)=esk11_2(X2,X3))).
% 247.18/174.26  cnf(i_0_3914, axiom, (X1!=X2|esk11_2(X3,X1)=esk11_2(X3,X2))).
% 247.18/174.26  cnf(i_0_3915, axiom, (X1!=X2|esk12_2(X1,X3)=esk12_2(X2,X3))).
% 247.18/174.26  cnf(i_0_3916, axiom, (X1!=X2|esk12_2(X3,X1)=esk12_2(X3,X2))).
% 247.18/174.26  cnf(i_0_3917, axiom, (X1!=X2|c_Polynomial_Osynthetic__div(X1,X3,X4)=c_Polynomial_Osynthetic__div(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3918, axiom, (X1!=X2|c_Polynomial_Osynthetic__div(X3,X1,X4)=c_Polynomial_Osynthetic__div(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3919, axiom, (X1!=X2|c_Polynomial_Osynthetic__div(X3,X4,X1)=c_Polynomial_Osynthetic__div(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3920, axiom, (X1!=X2|c_Divides_Odiv__class_Odiv(X1,X3,X4)=c_Divides_Odiv__class_Odiv(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3921, axiom, (X1!=X2|c_Divides_Odiv__class_Odiv(X3,X1,X4)=c_Divides_Odiv__class_Odiv(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3922, axiom, (X1!=X2|c_Divides_Odiv__class_Odiv(X3,X4,X1)=c_Divides_Odiv__class_Odiv(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3923, axiom, (X1!=X2|c_Divides_Odiv__class_Omod(X1,X3,X4)=c_Divides_Odiv__class_Omod(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3924, axiom, (X1!=X2|c_Divides_Odiv__class_Omod(X3,X1,X4)=c_Divides_Odiv__class_Omod(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3925, axiom, (X1!=X2|c_Divides_Odiv__class_Omod(X3,X4,X1)=c_Divides_Odiv__class_Omod(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3926, axiom, (X1!=X2|c_Polynomial_Omonom(X1,X3,X4)=c_Polynomial_Omonom(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3927, axiom, (X1!=X2|c_Polynomial_Omonom(X3,X1,X4)=c_Polynomial_Omonom(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3928, axiom, (X1!=X2|c_Polynomial_Omonom(X3,X4,X1)=c_Polynomial_Omonom(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3929, axiom, (X1!=X2|c_Polynomial_Opoly__gcd(X1,X3,X4)=c_Polynomial_Opoly__gcd(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3930, axiom, (X1!=X2|c_Polynomial_Opoly__gcd(X3,X1,X4)=c_Polynomial_Opoly__gcd(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3931, axiom, (X1!=X2|c_Polynomial_Opoly__gcd(X3,X4,X1)=c_Polynomial_Opoly__gcd(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3932, axiom, (X1!=X2|c_Power_Opower_Opower(X1,X3,X4)=c_Power_Opower_Opower(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3933, axiom, (X1!=X2|c_Power_Opower_Opower(X3,X1,X4)=c_Power_Opower_Opower(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3934, axiom, (X1!=X2|c_Power_Opower_Opower(X3,X4,X1)=c_Power_Opower_Opower(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3935, axiom, (X1!=X2|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X1,X3,X4)=c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3936, axiom, (X1!=X2|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X1,X4)=c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3937, axiom, (X1!=X2|c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X4,X1)=c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3938, axiom, (X1!=X2|c_Polynomial_OpCons(X1,X3,X4)=c_Polynomial_OpCons(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3939, axiom, (X1!=X2|c_Polynomial_OpCons(X3,X1,X4)=c_Polynomial_OpCons(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3940, axiom, (X1!=X2|c_Polynomial_OpCons(X3,X4,X1)=c_Polynomial_OpCons(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3941, axiom, (X1!=X2|c_Polynomial_Opcompose(X1,X3,X4)=c_Polynomial_Opcompose(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3942, axiom, (X1!=X2|c_Polynomial_Opcompose(X3,X1,X4)=c_Polynomial_Opcompose(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3943, axiom, (X1!=X2|c_Polynomial_Opcompose(X3,X4,X1)=c_Polynomial_Opcompose(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3944, axiom, (X1!=X2|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X1,X3)=c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X2,X3))).
% 247.18/174.26  cnf(i_0_3945, axiom, (X1!=X2|c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X1)=c_Fundamental__Theorem__Algebra__Mirabelle_Opsize(X3,X2))).
% 247.18/174.26  cnf(i_0_3946, axiom, (X1!=X2|c_Nat_Osize__class_Osize(X1,X3)=c_Nat_Osize__class_Osize(X2,X3))).
% 247.18/174.26  cnf(i_0_3947, axiom, (X1!=X2|c_Nat_Osize__class_Osize(X3,X1)=c_Nat_Osize__class_Osize(X3,X2))).
% 247.18/174.26  cnf(i_0_3948, axiom, (X1!=X2|c_Nat_Onat_Onat__size(X1)=c_Nat_Onat_Onat__size(X2))).
% 247.18/174.26  cnf(i_0_3949, axiom, (X1!=X2|c_Groups_Ominus__class_Ominus(X1,X3,X4)=c_Groups_Ominus__class_Ominus(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3950, axiom, (X1!=X2|c_Groups_Ominus__class_Ominus(X3,X1,X4)=c_Groups_Ominus__class_Ominus(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3951, axiom, (X1!=X2|c_Groups_Ominus__class_Ominus(X3,X4,X1)=c_Groups_Ominus__class_Ominus(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3952, axiom, (X1!=X2|c_Groups_Osgn__class_Osgn(X1,X3)=c_Groups_Osgn__class_Osgn(X2,X3))).
% 247.18/174.26  cnf(i_0_3953, axiom, (X1!=X2|c_Groups_Osgn__class_Osgn(X3,X1)=c_Groups_Osgn__class_Osgn(X3,X2))).
% 247.18/174.26  cnf(i_0_3954, axiom, (X1!=X2|c_HOL_Obool_Obool__size(X1)=c_HOL_Obool_Obool__size(X2))).
% 247.18/174.26  cnf(i_0_3955, axiom, (X1!=X2|c_Polynomial_Osmult(X1,X3,X4)=c_Polynomial_Osmult(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3956, axiom, (X1!=X2|c_Polynomial_Osmult(X3,X1,X4)=c_Polynomial_Osmult(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3957, axiom, (X1!=X2|c_Polynomial_Osmult(X3,X4,X1)=c_Polynomial_Osmult(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3958, axiom, (X1!=X2|c_Rings_Oinverse__class_Odivide(X1,X3,X4)=c_Rings_Oinverse__class_Odivide(X2,X3,X4))).
% 247.18/174.26  cnf(i_0_3959, axiom, (X1!=X2|c_Rings_Oinverse__class_Odivide(X3,X1,X4)=c_Rings_Oinverse__class_Odivide(X3,X2,X4))).
% 247.18/174.26  cnf(i_0_3960, axiom, (X1!=X2|c_Rings_Oinverse__class_Odivide(X3,X4,X1)=c_Rings_Oinverse__class_Odivide(X3,X4,X2))).
% 247.18/174.26  cnf(i_0_3961, axiom, (X1!=X2|hAPP(X1,X3)=hAPP(X2,X3))).
% 247.18/174.26  cnf(i_0_3962, axiom, (X1!=X2|hAPP(X3,X1)=hAPP(X3,X2))).
% 247.18/174.26  cnf(i_0_3963, axiom, (X1!=X2|c_Polynomial_Ocoeff(X1,X3)=c_Polynomial_Ocoeff(X2,X3))).
% 247.18/174.26  cnf(i_0_3964, axiom, (X1!=X2|c_Polynomial_Ocoeff(X3,X1)=c_Polynomial_Ocoeff(X3,X2))).
% 247.18/174.26  cnf(i_0_3965, axiom, (X1!=X2|~class_Fields_Ofield(X1)|class_Fields_Ofield(X2))).
% 247.18/174.27  cnf(i_0_3966, axiom, (X1!=X2|~class_RealVector_Oreal__field(X1)|class_RealVector_Oreal__field(X2))).
% 247.18/174.27  cnf(i_0_3967, axiom, (X1!=X2|~class_Rings_Ocomm__ring__1(X1)|class_Rings_Ocomm__ring__1(X2))).
% 247.18/174.27  cnf(i_0_3968, axiom, (X1!=X2|~c_Orderings_Oord__class_Oless(X1,X3,X4)|c_Orderings_Oord__class_Oless(X2,X3,X4))).
% 247.18/174.27  cnf(i_0_3969, axiom, (X1!=X2|~c_Orderings_Oord__class_Oless(X3,X1,X4)|c_Orderings_Oord__class_Oless(X3,X2,X4))).
% 247.18/174.27  cnf(i_0_3970, axiom, (X1!=X2|~c_Orderings_Oord__class_Oless(X3,X4,X1)|c_Orderings_Oord__class_Oless(X3,X4,X2))).
% 247.18/174.27  cnf(i_0_3971, axiom, (X1!=X2|~class_Rings_Oordered__ring(X1)|class_Rings_Oordered__ring(X2))).
% 247.18/174.27  cnf(i_0_3972, axiom, (X1!=X2|~class_Rings_Odivision__ring(X1)|class_Rings_Odivision__ring(X2))).
% 247.18/174.27  cnf(i_0_3973, axiom, (X1!=X2|~hBOOL(X1)|hBOOL(X2))).
% 247.18/174.27  cnf(i_0_3974, axiom, (X1!=X2|~c_Orderings_Oord__class_Oless__eq(X1,X3,X4)|c_Orderings_Oord__class_Oless__eq(X2,X3,X4))).
% 247.18/174.27  cnf(i_0_3975, axiom, (X1!=X2|~c_Orderings_Oord__class_Oless__eq(X3,X1,X4)|c_Orderings_Oord__class_Oless__eq(X3,X2,X4))).
% 247.18/174.27  cnf(i_0_3976, axiom, (X1!=X2|~c_Orderings_Oord__class_Oless__eq(X3,X4,X1)|c_Orderings_Oord__class_Oless__eq(X3,X4,X2))).
% 247.18/174.27  cnf(i_0_3977, axiom, (X1!=X2|~class_Divides_Osemiring__div(X1)|class_Divides_Osemiring__div(X2))).
% 247.18/174.27  cnf(i_0_3978, axiom, (X1!=X2|~class_Rings_Ocomm__ring(X1)|class_Rings_Ocomm__ring(X2))).
% 247.18/174.27  cnf(i_0_3979, axiom, (X1!=X2|~class_Rings_Odvd(X1)|class_Rings_Odvd(X2))).
% 247.18/174.27  cnf(i_0_3980, axiom, (X1!=X2|~class_Groups_Ozero(X1)|class_Groups_Ozero(X2))).
% 247.18/174.27  cnf(i_0_3981, axiom, (X1!=X2|~class_Rings_Oring(X1)|class_Rings_Oring(X2))).
% 247.18/174.27  cnf(i_0_3982, axiom, (X1!=X2|~class_Rings_Osemiring(X1)|class_Rings_Osemiring(X2))).
% 247.18/174.27  cnf(i_0_3983, axiom, (X1!=X2|~class_Rings_Ocomm__semiring__0(X1)|class_Rings_Ocomm__semiring__0(X2))).
% 247.18/174.27  cnf(i_0_3984, axiom, (X1!=X2|~class_Rings_Osemiring__0(X1)|class_Rings_Osemiring__0(X2))).
% 247.18/174.27  cnf(i_0_3985, axiom, (X1!=X2|~class_Rings_Olinordered__ring__strict(X1)|class_Rings_Olinordered__ring__strict(X2))).
% 247.18/174.27  cnf(i_0_3986, axiom, (X1!=X2|~class_Rings_Olinordered__ring(X1)|class_Rings_Olinordered__ring(X2))).
% 247.18/174.27  cnf(i_0_3987, axiom, (X1!=X2|~class_Groups_Omonoid__mult(X1)|class_Groups_Omonoid__mult(X2))).
% 247.18/174.27  cnf(i_0_3988, axiom, (X1!=X2|~class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X1)|class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct(X2))).
% 247.18/174.27  cnf(i_0_3989, axiom, (X1!=X2|~class_Rings_Oring__1(X1)|class_Rings_Oring__1(X2))).
% 247.18/174.27  cnf(i_0_3990, axiom, (X1!=X2|~class_Fields_Olinordered__field__inverse__zero(X1)|class_Fields_Olinordered__field__inverse__zero(X2))).
% 247.18/174.27  cnf(i_0_3991, axiom, (X1!=X2|~c_Polynomial_Opdivmod__rel(X1,X3,X4,X5,X6)|c_Polynomial_Opdivmod__rel(X2,X3,X4,X5,X6))).
% 247.18/174.27  cnf(i_0_3992, axiom, (X1!=X2|~c_Polynomial_Opdivmod__rel(X3,X1,X4,X5,X6)|c_Polynomial_Opdivmod__rel(X3,X2,X4,X5,X6))).
% 247.18/174.27  cnf(i_0_3993, axiom, (X1!=X2|~c_Polynomial_Opdivmod__rel(X3,X4,X1,X5,X6)|c_Polynomial_Opdivmod__rel(X3,X4,X2,X5,X6))).
% 247.18/174.27  cnf(i_0_3994, axiom, (X1!=X2|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X1,X6)|c_Polynomial_Opdivmod__rel(X3,X4,X5,X2,X6))).
% 247.18/174.27  cnf(i_0_3995, axiom, (X1!=X2|~c_Polynomial_Opdivmod__rel(X3,X4,X5,X6,X1)|c_Polynomial_Opdivmod__rel(X3,X4,X5,X6,X2))).
% 247.18/174.27  cnf(i_0_3996, axiom, (X1!=X2|~class_Divides_Oring__div(X1)|class_Divides_Oring__div(X2))).
% 247.18/174.27  cnf(i_0_3997, axiom, (X1!=X2|~class_Fields_Olinordered__field(X1)|class_Fields_Olinordered__field(X2))).
% 247.18/174.27  cnf(i_0_3998, axiom, (X1!=X2|~class_Rings_Olinordered__semidom(X1)|class_Rings_Olinordered__semidom(X2))).
% 247.18/174.27  cnf(i_0_3999, axiom, (X1!=X2|~class_Fields_Ofield__inverse__zero(X1)|class_Fields_Ofield__inverse__zero(X2))).
% 247.18/174.27  cnf(i_0_4000, axiom, (X1!=X2|~class_Rings_Oordered__semiring(X1)|class_Rings_Oordered__semiring(X2))).
% 247.18/174.27  cnf(i_0_4001, axiom, (X1!=X2|~class_Rings_Olinordered__semiring__strict(X1)|class_Rings_Olinordered__semiring__strict(X2))).
% 247.18/174.27  cnf(i_0_4002, axiom, (X1!=X2|~class_Groups_Ocomm__monoid__mult(X1)|class_Groups_Ocomm__monoid__mult(X2))).
% 247.18/174.27  cnf(i_0_4003, axiom, (X1!=X2|~class_Groups_Oab__group__add(X1)|class_Groups_Oab__group__add(X2))).
% 247.18/174.27  cnf(i_0_4004, axiom, (X1!=X2|~class_Groups_Ocomm__monoid__add(X1)|class_Groups_Ocomm__monoid__add(X2))).
% 247.18/174.27  cnf(i_0_4005, axiom, (X1!=X2|~class_Rings_Olinordered__semiring(X1)|class_Rings_Olinordered__semiring(X2))).
% 247.18/174.27  cnf(i_0_4006, axiom, (X1!=X2|~class_Rings_Oidom(X1)|class_Rings_Oidom(X2))).
% 247.18/174.27  cnf(i_0_4007, axiom, (X1!=X2|~class_Rings_Ocomm__semiring(X1)|class_Rings_Ocomm__semiring(X2))).
% 247.18/174.27  cnf(i_0_4008, axiom, (X1!=X2|~class_Groups_Oordered__ab__semigroup__add__imp__le(X1)|class_Groups_Oordered__ab__semigroup__add__imp__le(X2))).
% 247.18/174.27  cnf(i_0_4009, axiom, (X1!=X2|~class_Rings_Oordered__comm__semiring(X1)|class_Rings_Oordered__comm__semiring(X2))).
% 247.18/174.27  cnf(i_0_4010, axiom, (X1!=X2|~class_Rings_Olinordered__comm__semiring__strict(X1)|class_Rings_Olinordered__comm__semiring__strict(X2))).
% 247.18/174.27  cnf(i_0_4011, axiom, (X1!=X2|~class_Groups_Oordered__ab__semigroup__add(X1)|class_Groups_Oordered__ab__semigroup__add(X2))).
% 247.18/174.27  cnf(i_0_4012, axiom, (X1!=X2|~class_Groups_Oordered__cancel__ab__semigroup__add(X1)|class_Groups_Oordered__cancel__ab__semigroup__add(X2))).
% 247.18/174.27  cnf(i_0_4013, axiom, (X1!=X2|~class_Power_Opower(X1)|class_Power_Opower(X2))).
% 247.18/174.27  cnf(i_0_4014, axiom, (X1!=X2|~class_Groups_Oab__semigroup__mult(X1)|class_Groups_Oab__semigroup__mult(X2))).
% 247.18/174.27  cnf(i_0_4015, axiom, (X1!=X2|~class_Groups_Oordered__comm__monoid__add(X1)|class_Groups_Oordered__comm__monoid__add(X2))).
% 247.18/174.27  cnf(i_0_4016, axiom, (X1!=X2|~class_Rings_Oordered__cancel__semiring(X1)|class_Rings_Oordered__cancel__semiring(X2))).
% 247.18/174.27  cnf(i_0_4017, axiom, (X1!=X2|~c_Rings_Odvd__class_Odvd(X1,X3,X4)|c_Rings_Odvd__class_Odvd(X2,X3,X4))).
% 247.18/174.27  cnf(i_0_4018, axiom, (X1!=X2|~c_Rings_Odvd__class_Odvd(X3,X1,X4)|c_Rings_Odvd__class_Odvd(X3,X2,X4))).
% 247.18/174.27  cnf(i_0_4019, axiom, (X1!=X2|~c_Rings_Odvd__class_Odvd(X3,X4,X1)|c_Rings_Odvd__class_Odvd(X3,X4,X2))).
% 247.18/174.27  cnf(i_0_4020, axiom, (X1!=X2|~class_Groups_Olinordered__ab__group__add(X1)|class_Groups_Olinordered__ab__group__add(X2))).
% 247.18/174.27  cnf(i_0_4021, axiom, (X1!=X2|~class_Rings_Olinordered__idom(X1)|class_Rings_Olinordered__idom(X2))).
% 247.18/174.27  cnf(i_0_4022, axiom, (X1!=X2|~class_Groups_Oab__semigroup__add(X1)|class_Groups_Oab__semigroup__add(X2))).
% 247.18/174.27  cnf(i_0_4023, axiom, (X1!=X2|~class_Groups_Oordered__ab__group__add(X1)|class_Groups_Oordered__ab__group__add(X2))).
% 247.18/174.27  cnf(i_0_4024, axiom, (X1!=X2|~c_Polynomial_Opos__poly(X1,X3)|c_Polynomial_Opos__poly(X2,X3))).
% 247.18/174.27  cnf(i_0_4025, axiom, (X1!=X2|~c_Polynomial_Opos__poly(X3,X1)|c_Polynomial_Opos__poly(X3,X2))).
% 247.18/174.27  cnf(i_0_4026, axiom, (X1!=X2|~class_RealVector_Oreal__normed__div__algebra(X1)|class_RealVector_Oreal__normed__div__algebra(X2))).
% 247.18/174.27  cnf(i_0_4027, axiom, (X1!=X2|~class_Groups_Ogroup__add(X1)|class_Groups_Ogroup__add(X2))).
% 247.18/174.27  cnf(i_0_4028, axiom, (X1!=X2|~class_Rings_Odivision__ring__inverse__zero(X1)|class_Rings_Odivision__ring__inverse__zero(X2))).
% 247.18/174.27  cnf(i_0_4029, axiom, (X1!=X2|~class_Groups_Ocancel__semigroup__add(X1)|class_Groups_Ocancel__semigroup__add(X2))).
% 247.18/174.27  cnf(i_0_4030, axiom, (X1!=X2|~class_Groups_Ocancel__ab__semigroup__add(X1)|class_Groups_Ocancel__ab__semigroup__add(X2))).
% 247.18/174.27  cnf(i_0_4031, axiom, (X1!=X2|~class_RealVector_Oreal__normed__field(X1)|class_RealVector_Oreal__normed__field(X2))).
% 247.18/174.27  cnf(i_0_4032, axiom, (X1!=X2|~class_Groups_Osgn__if(X1)|class_Groups_Osgn__if(X2))).
% 247.18/174.27  cnf(i_0_4033, axiom, (X1!=X2|~class_Rings_Omult__zero(X1)|class_Rings_Omult__zero(X2))).
% 247.18/174.27  cnf(i_0_4034, axiom, (X1!=X2|~class_Rings_Ono__zero__divisors(X1)|class_Rings_Ono__zero__divisors(X2))).
% 247.18/174.27  cnf(i_0_4035, axiom, (X1!=X2|~class_Rings_Ozero__neq__one(X1)|class_Rings_Ozero__neq__one(X2))).
% 247.18/174.27  cnf(i_0_4036, axiom, (X1!=X2|~class_Rings_Oring__1__no__zero__divisors(X1)|class_Rings_Oring__1__no__zero__divisors(X2))).
% 247.18/174.27  cnf(i_0_4037, axiom, (X1!=X2|~class_Rings_Oring__no__zero__divisors(X1)|class_Rings_Oring__no__zero__divisors(X2))).
% 247.18/174.27  cnf(i_0_4038, axiom, (X1!=X2|~class_Int_Oring__char__0(X1)|class_Int_Oring__char__0(X2))).
% 247.18/174.27  cnf(i_0_4039, axiom, (X1!=X2|~class_RealVector_Oreal__normed__vector(X1)|class_RealVector_Oreal__normed__vector(X2))).
% 247.18/174.27  cnf(i_0_4040, axiom, (X1!=X2|~class_Groups_Omonoid__add(X1)|class_Groups_Omonoid__add(X2))).
% 247.18/174.27  cnf(i_0_4041, axiom, (X1!=X2|~class_RealVector_Oreal__normed__algebra__1(X1)|class_RealVector_Oreal__normed__algebra__1(X2))).
% 247.18/174.27  cnf(i_0_4042, axiom, (X1!=X2|~class_Rings_Ocomm__semiring__1(X1)|class_Rings_Ocomm__semiring__1(X2))).
% 247.18/174.27  cnf(i_0_4043, axiom, (X1!=X2|~class_Groups_Ocancel__comm__monoid__add(X1)|class_Groups_Ocancel__comm__monoid__add(X2))).
% 247.18/174.27  cnf(i_0_4044, axiom, (X1!=X2|~class_Groups_Oone(X1)|class_Groups_Oone(X2))).
% 247.18/174.27  cnf(i_0_4045, axiom, (X1!=X2|~class_RealVector_Oreal__normed__algebra(X1)|class_RealVector_Oreal__normed__algebra(X2))).
% 247.18/174.27  cnf(i_0_4046, axiom, (X1!=X2|~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X1,X3,X4)|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X2,X3,X4))).
% 247.18/174.27  cnf(i_0_4047, axiom, (X1!=X2|~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X3,X1,X4)|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X3,X2,X4))).
% 247.18/174.27  cnf(i_0_4048, axiom, (X1!=X2|~c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X3,X4,X1)|c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant(X3,X4,X2))).
% 300.09/227.12  Terminated
%------------------------------------------------------------------------------