%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW265+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:37 AM UTC 2026 % Result : Theorem 1.42s 1.61s % Output : Proof 1.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW265+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n026.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 21:42:55 EDT 2026 % 0.18/0.34 % CPUTime : % 0.45/0.75 %----Proving TF0_NAR, FOF, or CNF % 1.42/1.61 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.42/1.61 % SZS status Theorem % 1.42/1.61 % SZS output start Proof % 1.42/1.61 ( % 1.42/1.61 (declare-sort $$unsorted 0) % 1.42/1.61 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.42/1.61 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.42/1.61 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.v_q____ $$unsorted) % 1.42/1.61 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.42/1.61 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.v_c____ $$unsorted) % 1.42/1.61 (declare-const tptp.class_RealVector_Oreal__div__algebra (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.v_pa____ $$unsorted) % 1.42/1.61 (declare-const tptp.v_s____ $$unsorted) % 1.42/1.61 (declare-const tptp.v_t____ $$unsorted) % 1.42/1.61 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.c_RealVector_Oof__real (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.42/1.61 (declare-const tptp.v_k____ $$unsorted) % 1.42/1.61 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.42/1.61 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.v_m____ $$unsorted) % 1.42/1.61 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.v_a____ $$unsorted) % 1.42/1.61 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.v_p $$unsorted) % 1.42/1.61 (declare-const tptp.v_w____ $$unsorted) % 1.42/1.61 (declare-const tptp.class_RealVector_Oreal__algebra__1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.42/1.61 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.42/1.61 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.42/1.61 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.42/1.61 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.42/1.61 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.42/1.61 (define @t3 () (@var "B_x" $$unsorted)) % 1.42/1.61 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.42/1.61 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.42/1.61 (define @t6 () (@list @t3)) % 1.42/1.61 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.42/1.61 (define @t8 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.42/1.61 (define @t9 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.42/1.61 (define @t10 () (@var "B_z" $$unsorted)) % 1.42/1.61 (define @t11 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_s____)) % 1.42/1.61 (define @t12 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t11 @t10))) % 1.42/1.61 (define @t13 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_w____)) % 1.42/1.61 (define @t14 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t10) @t13)) % 1.42/1.61 (define @t15 () (@list @t10)) % 1.42/1.61 (define @t16 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.42/1.61 (define @t17 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.42/1.61 (define @t18 () (tptp.hAPP (tptp.hAPP @t17 tptp.v_t____) tptp.v_k____)) % 1.42/1.61 (define @t19 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.42/1.61 (define @t20 () (tptp.hAPP @t19 @t8)) % 1.42/1.61 (define @t21 () (tptp.hAPP @t19 tptp.v_t____)) % 1.42/1.61 (define @t22 () (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex tptp.v_t____)) % 1.42/1.61 (define @t23 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.42/1.61 (define @t24 () (tptp.hAPP (tptp.hAPP @t23 @t22) tptp.v_w____)) % 1.42/1.61 (define @t25 () (@var "V_n" $$unsorted)) % 1.42/1.61 (define @t26 () (@var "V_x" $$unsorted)) % 1.42/1.61 (define @t27 () (tptp.hAPP (tptp.hAPP @t17 @t26) @t25)) % 1.42/1.61 (define @t28 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.42/1.61 (define @t29 () (@list @t25 @t26)) % 1.42/1.61 (define @t30 () (@var "B_m" $$unsorted)) % 1.42/1.61 (define @t31 () (forall @t15 (=> @t14 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t30)))) % 1.42/1.61 (define @t32 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t30)) % 1.42/1.61 (define @t33 () (@list @t30)) % 1.42/1.61 (define @t34 () (@var "T_a" $$unsorted)) % 1.42/1.61 (define @t35 () (tptp.c_Groups_Ozero__class_Ozero @t34)) % 1.42/1.61 (define @t36 () (= @t26 @t35)) % 1.42/1.61 (define @t37 () (@var "V_y" $$unsorted)) % 1.42/1.61 (define @t38 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t37)) % 1.42/1.61 (define @t39 () (@var "V_c" $$unsorted)) % 1.42/1.61 (define @t40 () (tptp.hAPP @t19 @t39)) % 1.42/1.61 (define @t41 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t26)) % 1.42/1.61 (define @t42 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t39 @t7)) % 1.42/1.61 (define @t43 () (tptp.class_RealVector_Oreal__normed__vector @t34)) % 1.42/1.61 (define @t44 () (@var "V_a" $$unsorted)) % 1.42/1.61 (define @t45 () (tptp.c_Power_Opower__class_Opower @t34)) % 1.42/1.61 (define @t46 () (tptp.hAPP @t45 @t44)) % 1.42/1.61 (define @t47 () (tptp.hAPP @t46 @t25)) % 1.42/1.61 (define @t48 () (tptp.c_Groups_Otimes__class_Otimes @t34)) % 1.42/1.61 (define @t49 () (tptp.hAPP @t48 @t44)) % 1.42/1.61 (define @t50 () (tptp.hAPP @t49 @t47)) % 1.42/1.61 (define @t51 () (tptp.c_Groups_Oone__class_Oone @t34)) % 1.42/1.61 (define @t52 () (tptp.c_Orderings_Oord__class_Oless @t34 @t44 @t51)) % 1.42/1.61 (define @t53 () (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t44)) % 1.42/1.61 (define @t54 () (tptp.class_Rings_Olinordered__semidom @t34)) % 1.42/1.61 (define @t55 () (@list @t25 @t44 @t34)) % 1.42/1.61 (define @t56 () (@var "V_d2" $$unsorted)) % 1.42/1.61 (define @t57 () (@var "B_e" $$unsorted)) % 1.42/1.61 (define @t58 () (tptp.hAPP (tptp.hAPP @t17 @t41) @t25)) % 1.42/1.61 (define @t59 () (tptp.hAPP @t45 @t26)) % 1.42/1.61 (define @t60 () (tptp.hAPP @t59 @t25)) % 1.42/1.61 (define @t61 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t60)) % 1.42/1.61 (define @t62 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t34)) % 1.42/1.61 (define @t63 () (@list @t25 @t26 @t34)) % 1.42/1.61 (define @t64 () (@var "V_y_2" $$unsorted)) % 1.42/1.61 (define @t65 () (@var "V_x_2" $$unsorted)) % 1.42/1.61 (define @t66 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t65 @t64)) % 1.42/1.61 (define @t67 () (@var "V_z_2" $$unsorted)) % 1.42/1.61 (define @t68 () (tptp.hAPP @t19 @t64)) % 1.42/1.61 (define @t69 () (tptp.hAPP @t68 @t67)) % 1.42/1.61 (define @t70 () (tptp.hAPP @t19 @t65)) % 1.42/1.61 (define @t71 () (tptp.hAPP @t70 @t67)) % 1.42/1.61 (define @t72 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t67)) % 1.42/1.61 (define @t73 () (@list @t64 @t65 @t67)) % 1.42/1.61 (define @t74 () (tptp.hAPP @t19 @t67)) % 1.42/1.61 (define @t75 () (@var "V_s" $$unsorted)) % 1.42/1.61 (define @t76 () (@var "V_r" $$unsorted)) % 1.42/1.61 (define @t77 () (tptp.hAPP @t48 @t26)) % 1.42/1.61 (define @t78 () (tptp.hAPP @t77 @t37)) % 1.42/1.61 (define @t79 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t78)) % 1.42/1.61 (define @t80 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t75)) % 1.42/1.61 (define @t81 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t41 @t76)) % 1.42/1.61 (define @t82 () (tptp.class_RealVector_Oreal__normed__algebra @t34)) % 1.42/1.61 (define @t83 () (@list @t75 @t37 @t76 @t26 @t34)) % 1.42/1.61 (define @t84 () (tptp.hAPP (tptp.hAPP @t19 @t41) @t38)) % 1.42/1.61 (define @t85 () (@list @t37 @t26 @t34)) % 1.42/1.61 (define @t86 () (= @t65 @t35)) % 1.42/1.61 (define @t87 () (not @t86)) % 1.42/1.61 (define @t88 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t65)) % 1.42/1.61 (define @t89 () (@list @t65 @t34)) % 1.42/1.61 (define @t90 () (tptp.c_Orderings_Oord__class_Oless @t34 @t51 @t44)) % 1.42/1.61 (define @t91 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.42/1.61 (define @t92 () (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP (tptp.hAPP @t28 tptp.v_w____) tptp.v_k____)) tptp.v_a____)) % 1.42/1.61 (define @t93 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.42/1.61 (define @t94 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t93 @t92)) % 1.42/1.61 (define @t95 () (@var "V_n_2" $$unsorted)) % 1.42/1.61 (define @t96 () (= @t95 @t16)) % 1.42/1.61 (define @t97 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t65)) % 1.42/1.61 (define @t98 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.42/1.61 (define @t99 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 (tptp.hAPP (tptp.hAPP @t98 @t65) @t95))) % 1.42/1.61 (define @t100 () (@list @t95 @t65)) % 1.42/1.61 (define @t101 () (@var "V_m" $$unsorted)) % 1.42/1.61 (define @t102 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t25)) % 1.42/1.61 (define @t103 () (@var "V_i" $$unsorted)) % 1.42/1.61 (define @t104 () (tptp.hAPP @t98 @t103)) % 1.42/1.61 (define @t105 () (tptp.hAPP @t46 @t101)) % 1.42/1.61 (define @t106 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.42/1.61 (define @t107 () (tptp.hAPP @t106 @t101)) % 1.42/1.61 (define @t108 () (tptp.hAPP @t107 @t25)) % 1.42/1.61 (define @t109 () (tptp.class_Groups_Omonoid__mult @t34)) % 1.42/1.61 (define @t110 () (@list @t25 @t101 @t44 @t34)) % 1.42/1.61 (define @t111 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.42/1.61 (define @t112 () (@list @t44 @t34)) % 1.42/1.61 (define @t113 () (@var "B_y" $$unsorted)) % 1.42/1.61 (define @t114 () (@list @t3 @t113)) % 1.42/1.61 (define @t115 () (@var "T_b" $$unsorted)) % 1.42/1.61 (define @t116 () (tptp.class_Power_Opower @t34)) % 1.42/1.61 (define @t117 () (@var "V_b" $$unsorted)) % 1.42/1.61 (define @t118 () (= @t44 @t117)) % 1.42/1.61 (define @t119 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t25)) % 1.42/1.61 (define @t120 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t117)) % 1.42/1.61 (define @t121 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t44)) % 1.42/1.61 (define @t122 () (tptp.hAPP (tptp.hAPP @t45 @t117) @t25)) % 1.42/1.61 (define @t123 () (@list @t117 @t25 @t44 @t34)) % 1.42/1.61 (define @t124 () (@var "V_w" $$unsorted)) % 1.42/1.61 (define @t125 () (@var "V_z" $$unsorted)) % 1.42/1.61 (define @t126 () (= @t125 @t124)) % 1.42/1.61 (define @t127 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t124 @t125)) % 1.42/1.61 (define @t128 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t125 @t124)) % 1.42/1.61 (define @t129 () (@list @t124 @t125)) % 1.42/1.61 (define @t130 () (@var "V_k" $$unsorted)) % 1.42/1.61 (define @t131 () (@var "V_j" $$unsorted)) % 1.42/1.61 (define @t132 () (@list @t130 @t131 @t103)) % 1.42/1.61 (define @t133 () (@list @t124)) % 1.42/1.61 (define @t134 () (@var "V_z3" $$unsorted)) % 1.42/1.61 (define @t135 () (@var "V_z2" $$unsorted)) % 1.42/1.61 (define @t136 () (tptp.hAPP @t19 @t135)) % 1.42/1.61 (define @t137 () (@var "V_z1" $$unsorted)) % 1.42/1.61 (define @t138 () (tptp.hAPP @t19 @t137)) % 1.42/1.61 (define @t139 () (@list @t134 @t135 @t137)) % 1.42/1.61 (define @t140 () (tptp.hAPP @t19 @t125)) % 1.42/1.61 (define @t141 () (= @t65 @t64)) % 1.42/1.61 (define @t142 () (tptp.c_RealVector_Oof__real @t34 @t65)) % 1.42/1.61 (define @t143 () (tptp.class_RealVector_Oreal__algebra__1 @t34)) % 1.42/1.61 (define @t144 () (@list @t64 @t65 @t34)) % 1.42/1.61 (define @t145 () (@list @t26 @t34)) % 1.42/1.61 (define @t146 () (= (tptp.hAPP @t49 @t35) @t35)) % 1.42/1.61 (define @t147 () (tptp.hAPP @t48 @t35)) % 1.42/1.61 (define @t148 () (@list @t37 @t34)) % 1.42/1.61 (define @t149 () (= @t44 @t35)) % 1.42/1.61 (define @t150 () (not @t149)) % 1.42/1.61 (define @t151 () (tptp.class_Rings_Oring__1__no__zero__divisors @t34)) % 1.42/1.61 (define @t152 () (not @t96)) % 1.42/1.61 (define @t153 () (@var "V_aa_2" $$unsorted)) % 1.42/1.61 (define @t154 () (= @t153 @t35)) % 1.42/1.61 (define @t155 () (tptp.hAPP @t45 @t153)) % 1.42/1.61 (define @t156 () (tptp.hAPP @t155 @t95)) % 1.42/1.61 (define @t157 () (tptp.class_Rings_Ozero__neq__one @t34)) % 1.42/1.61 (define @t158 () (tptp.class_Rings_Ono__zero__divisors @t34)) % 1.42/1.61 (define @t159 () (tptp.class_Rings_Omult__zero @t34)) % 1.42/1.61 (define @t160 () (@list @t95 @t153 @t34)) % 1.42/1.61 (define @t161 () (tptp.hAPP @t48 @t47)) % 1.42/1.61 (define @t162 () (tptp.hAPP @t49 @t117)) % 1.42/1.61 (define @t163 () (tptp.class_Groups_Ocomm__monoid__mult @t34)) % 1.42/1.61 (define @t164 () (@list @t25 @t117 @t44 @t34)) % 1.42/1.61 (define @t165 () (@list @t25 @t34)) % 1.42/1.61 (define @t166 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t65 @t64)) % 1.42/1.61 (define @t167 () (@list @t64 @t65)) % 1.42/1.61 (define @t168 () (not @t141)) % 1.42/1.61 (define @t169 () (@var "V_b_2" $$unsorted)) % 1.42/1.61 (define @t170 () (= @t153 @t169)) % 1.42/1.61 (define @t171 () (@var "V_ca_2" $$unsorted)) % 1.42/1.61 (define @t172 () (tptp.hAPP @t19 @t171)) % 1.42/1.61 (define @t173 () (not (= @t171 @t7))) % 1.42/1.61 (define @t174 () (@list @t169 @t153 @t171)) % 1.42/1.61 (define @t175 () (@list @t125)) % 1.42/1.61 (define @t176 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t44 @t117)) % 1.42/1.61 (define @t177 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t47)) % 1.42/1.61 (define @t178 () (=> @t121 @t177)) % 1.42/1.61 (define @t179 () (forall @t55 (=> @t54 @t178))) % 1.42/1.61 (define @t180 () (tptp.hAPP (tptp.hAPP @t45 @t35) @t25)) % 1.42/1.61 (define @t181 () (= @t25 @t16)) % 1.42/1.61 (define @t182 () (not @t181)) % 1.42/1.61 (define @t183 () (tptp.class_Rings_Osemiring__0 @t34)) % 1.42/1.61 (define @t184 () (@var "V_N" $$unsorted)) % 1.42/1.61 (define @t185 () (tptp.hAPP @t46 @t184)) % 1.42/1.61 (define @t186 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t51 @t44)) % 1.42/1.61 (define @t187 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t184)) % 1.42/1.61 (define @t188 () (@list @t44 @t184 @t25 @t34)) % 1.42/1.61 (define @t189 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t184)) % 1.42/1.61 (define @t190 () (tptp.hAPP @t45 @t169)) % 1.42/1.61 (define @t191 () (tptp.hAPP @t190 @t64)) % 1.42/1.61 (define @t192 () (tptp.hAPP @t190 @t65)) % 1.42/1.61 (define @t193 () (tptp.c_Orderings_Oord__class_Oless @t34 @t51 @t169)) % 1.42/1.61 (define @t194 () (@list @t64 @t65 @t169 @t34)) % 1.42/1.61 (define @t195 () (@var "V_ma_2" $$unsorted)) % 1.42/1.61 (define @t196 () (= @t195 @t95)) % 1.42/1.61 (define @t197 () (@list @t34)) % 1.42/1.61 (define @t198 () (tptp.class_RealVector_Oreal__normed__div__algebra @t34)) % 1.42/1.61 (define @t199 () (= @t65 @t7)) % 1.42/1.61 (define @t200 () (= (tptp.c_RealVector_Oof__real @t34 @t7) @t35)) % 1.42/1.61 (define @t201 () (and @t143 @t43)) % 1.42/1.61 (define @t202 () (tptp.hAPP @t19 @t26)) % 1.42/1.61 (define @t203 () (tptp.hAPP @t202 @t37)) % 1.42/1.61 (define @t204 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t26)) % 1.42/1.61 (define @t205 () (@list @t37 @t26)) % 1.42/1.61 (define @t206 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t41)) % 1.42/1.61 (define @t207 () (forall @t145 (=> @t43 @t206))) % 1.42/1.61 (define @t208 () (tptp.c_RealVector_Oof__real @t34 @t37)) % 1.42/1.61 (define @t209 () (tptp.c_RealVector_Oof__real @t34 @t26)) % 1.42/1.61 (define @t210 () (tptp.c_Orderings_Oord__class_Oless @t34 @t44 @t117)) % 1.42/1.61 (define @t211 () (tptp.c_Orderings_Oord__class_Oless @t34 @t47 @t122)) % 1.42/1.61 (define @t212 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t44 @t51)) % 1.42/1.61 (define @t213 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t25)) % 1.42/1.61 (define @t214 () (tptp.hAPP @t11 @t24)) % 1.42/1.61 (define @t215 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t214)) % 1.42/1.61 (define @t216 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat tptp.v_k____ @t111)) % 1.42/1.61 (define @t217 () (tptp.hAPP @t17 @t13)) % 1.42/1.61 (define @t218 () (tptp.hAPP @t19 (tptp.hAPP @t217 @t216))) % 1.42/1.61 (define @t219 () (tptp.hAPP @t19 @t18)) % 1.42/1.61 (define @t220 () (tptp.hAPP @t23 (tptp.hAPP (tptp.hAPP @t28 @t24) tptp.v_k____))) % 1.42/1.61 (define @t221 () (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t220 @t24)) @t214)) % 1.42/1.61 (define @t222 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t221)) % 1.42/1.61 (define @t223 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t93 (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP (tptp.hAPP @t28 @t22) tptp.v_k____)) @t92)) @t221)) % 1.42/1.61 (define @t224 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t93 (tptp.hAPP @t220 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_a____ (tptp.hAPP (tptp.hAPP @t23 @t24) @t214))))) % 1.42/1.61 (define @t225 () (tptp.hAPP @t218 tptp.v_m____)) % 1.42/1.61 (define @t226 () (tptp.hAPP @t21 @t225)) % 1.42/1.61 (define @t227 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t93)) % 1.42/1.61 (define @t228 () (tptp.hAPP @t48 @t37)) % 1.42/1.61 (define @t229 () (tptp.hAPP @t228 @t26)) % 1.42/1.61 (define @t230 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t37 @t51)) % 1.42/1.61 (define @t231 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t37)) % 1.42/1.61 (define @t232 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t26)) % 1.42/1.61 (define @t233 () (tptp.class_Rings_Olinordered__idom @t34)) % 1.42/1.61 (define @t234 () (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t39)) % 1.42/1.61 (define @t235 () (=> @t234 @t176)) % 1.42/1.61 (define @t236 () (tptp.hAPP @t48 @t39)) % 1.42/1.61 (define @t237 () (tptp.hAPP @t236 @t117)) % 1.42/1.61 (define @t238 () (tptp.hAPP @t236 @t44)) % 1.42/1.61 (define @t239 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t238 @t237)) % 1.42/1.61 (define @t240 () (tptp.class_Rings_Olinordered__semiring__strict @t34)) % 1.42/1.61 (define @t241 () (@list @t117 @t44 @t39 @t34)) % 1.42/1.61 (define @t242 () (tptp.hAPP @t48 @t117)) % 1.42/1.61 (define @t243 () (tptp.hAPP @t242 @t39)) % 1.42/1.61 (define @t244 () (tptp.hAPP @t49 @t39)) % 1.42/1.61 (define @t245 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t244 @t243)) % 1.42/1.61 (define @t246 () (@list @t117 @t39 @t44 @t34)) % 1.42/1.61 (define @t247 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t39)) % 1.42/1.61 (define @t248 () (=> @t247 @t210)) % 1.42/1.61 (define @t249 () (tptp.c_Orderings_Oord__class_Oless @t34 @t238 @t237)) % 1.42/1.61 (define @t250 () (=> @t249 @t248)) % 1.42/1.61 (define @t251 () (tptp.class_Rings_Olinordered__semiring @t34)) % 1.42/1.61 (define @t252 () (tptp.hAPP @t91 tptp.v_c____)) % 1.42/1.61 (define @t253 () (= @t252 @t9)) % 1.42/1.61 (define @t254 () (@var "B_w" $$unsorted)) % 1.42/1.61 (define @t255 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t91 @t254))) % 1.42/1.61 (define @t256 () (@list @t254)) % 1.42/1.61 (define @t257 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.42/1.61 (define @t258 () (= @t257 @t216)) % 1.42/1.61 (define @t259 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t225)) % 1.42/1.61 (define @t260 () (@var "B_n" $$unsorted)) % 1.42/1.61 (define @t261 () (@var "V_ka_2" $$unsorted)) % 1.42/1.61 (define @t262 () (@var "V_l_2" $$unsorted)) % 1.42/1.61 (define @t263 () (@list @t260)) % 1.42/1.61 (define @t264 () (@list @t262 @t261)) % 1.42/1.61 (define @t265 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t65)) % 1.42/1.61 (define @t266 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t65 @t64) @t35)) % 1.42/1.61 (define @t267 () (tptp.class_Groups_Ogroup__add @t34)) % 1.42/1.61 (define @t268 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t26)) % 1.42/1.61 (define @t269 () (= (tptp.c_RealVector_Oof__real @t34 @t268) (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t209))) % 1.42/1.61 (define @t270 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t26 @t37)) % 1.42/1.61 (define @t271 () (= (tptp.c_RealVector_Oof__real @t34 @t270) (tptp.c_Groups_Oplus__class_Oplus @t34 @t209 @t208))) % 1.42/1.61 (define @t272 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t117)) % 1.42/1.61 (define @t273 () (tptp.hAPP @t49 @t272)) % 1.42/1.61 (define @t274 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t162)) % 1.42/1.61 (define @t275 () (tptp.class_Rings_Oring @t34)) % 1.42/1.61 (define @t276 () (@list @t117 @t44 @t34)) % 1.42/1.61 (define @t277 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t44)) % 1.42/1.61 (define @t278 () (tptp.hAPP @t48 @t277)) % 1.42/1.61 (define @t279 () (tptp.hAPP @t278 @t117)) % 1.42/1.61 (define @t280 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t169)) % 1.42/1.61 (define @t281 () (= @t153 @t280)) % 1.42/1.61 (define @t282 () (tptp.hAPP @t48 @t169)) % 1.42/1.61 (define @t283 () (tptp.hAPP @t48 @t153)) % 1.42/1.61 (define @t284 () (tptp.class_Rings_Oidom @t34)) % 1.42/1.61 (define @t285 () (@list @t169 @t153 @t34)) % 1.42/1.61 (define @t286 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t117)) % 1.42/1.61 (define @t287 () (tptp.hAPP @t48 @t286)) % 1.42/1.61 (define @t288 () (= (tptp.hAPP @t287 @t39) (tptp.c_Groups_Oplus__class_Oplus @t34 @t244 @t243))) % 1.42/1.61 (define @t289 () (@list @t39 @t117 @t44 @t34)) % 1.42/1.61 (define @t290 () (@var "V_e" $$unsorted)) % 1.42/1.61 (define @t291 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t26 @t37)) % 1.42/1.61 (define @t292 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t291)) % 1.42/1.61 (define @t293 () (@var "V_xa" $$unsorted)) % 1.42/1.61 (define @t294 () (tptp.hAPP @t48 @t293)) % 1.42/1.61 (define @t295 () (tptp.hAPP @t294 @t26)) % 1.42/1.61 (define @t296 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t26)) % 1.42/1.61 (define @t297 () (@var "V_b_H" $$unsorted)) % 1.42/1.61 (define @t298 () (tptp.hAPP @t49 @t297)) % 1.42/1.61 (define @t299 () (@list @t297 @t117 @t44 @t34)) % 1.42/1.61 (define @t300 () (tptp.hAPP @t294 @t37)) % 1.42/1.61 (define @t301 () (@list @t37 @t26 @t293 @t34)) % 1.42/1.61 (define @t302 () (@var "V_a_H" $$unsorted)) % 1.42/1.61 (define @t303 () (tptp.hAPP (tptp.hAPP @t48 @t302) @t117)) % 1.42/1.61 (define @t304 () (@list @t117 @t302 @t44 @t34)) % 1.42/1.61 (define @t305 () (@var "V_ya" $$unsorted)) % 1.42/1.61 (define @t306 () (tptp.hAPP @t228 @t305)) % 1.42/1.61 (define @t307 () (tptp.hAPP @t77 @t305)) % 1.42/1.61 (define @t308 () (@list @t305 @t37 @t26 @t34)) % 1.42/1.61 (define @t309 () (tptp.c_Orderings_Oord__class_Oless @t34 @t153 @t35)) % 1.42/1.61 (define @t310 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t153)) % 1.42/1.61 (define @t311 () (@list @t153 @t34)) % 1.42/1.61 (define @t312 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t39)) % 1.42/1.61 (define @t313 () (tptp.c_Orderings_Oord__class_Oless @t34 @t117 @t312)) % 1.42/1.61 (define @t314 () (tptp.c_Orderings_Oord__class_Oless @t34 @t117 @t39)) % 1.42/1.61 (define @t315 () (=> @t314 @t313)) % 1.42/1.61 (define @t316 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t51)) % 1.42/1.61 (define @t317 () (= @t65 @t51)) % 1.42/1.61 (define @t318 () (tptp.hAPP @t48 @t65)) % 1.42/1.61 (define @t319 () (tptp.hAPP @t318 @t65)) % 1.42/1.61 (define @t320 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t51)) % 1.42/1.61 (define @t321 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t51 @t51)) % 1.42/1.61 (define @t322 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t25)) % 1.42/1.61 (define @t323 () (@var "V_v" $$unsorted)) % 1.42/1.61 (define @t324 () (@var "V_u" $$unsorted)) % 1.42/1.61 (define @t325 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP (tptp.hAPP @t48 @t324) @t26) (tptp.hAPP (tptp.hAPP @t48 @t323) @t37))) % 1.42/1.61 (define @t326 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t324 @t323) @t51)) % 1.42/1.61 (define @t327 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t323)) % 1.42/1.61 (define @t328 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t324)) % 1.42/1.61 (define @t329 () (@list @t323 @t324 @t37 @t44 @t26 @t34)) % 1.42/1.61 (define @t330 () (tptp.hAPP (tptp.hAPP @t45 @t277) @t25)) % 1.42/1.61 (define @t331 () (tptp.class_Rings_Oring__1 @t34)) % 1.42/1.61 (define @t332 () (tptp.c_Orderings_Oord__class_Oless @t34 @t37 @t26)) % 1.42/1.61 (define @t333 () (tptp.c_Orderings_Oord__class_Oless @t34 @t26 @t37)) % 1.42/1.61 (define @t334 () (not @t333)) % 1.42/1.61 (define @t335 () (= @t26 @t37)) % 1.42/1.61 (define @t336 () (not @t335)) % 1.42/1.61 (define @t337 () (=> @t336 (=> @t334 @t332))) % 1.42/1.61 (define @t338 () (= (tptp.hAPP @t147 @t44) @t35)) % 1.42/1.61 (define @t339 () (tptp.hAPP @t283 @t169)) % 1.42/1.61 (define @t340 () (= @t162 @t35)) % 1.42/1.61 (define @t341 () (= @t117 @t35)) % 1.42/1.61 (define @t342 () (not @t341)) % 1.42/1.61 (define @t343 () (tptp.hAPP @t49 @t44)) % 1.42/1.61 (define @t344 () (tptp.class_Rings_Olinordered__ring @t34)) % 1.42/1.61 (define @t345 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t169 @t35)) % 1.42/1.61 (define @t346 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t153 @t35)) % 1.42/1.61 (define @t347 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t169)) % 1.42/1.61 (define @t348 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t153)) % 1.42/1.61 (define @t349 () (tptp.class_Rings_Olinordered__ring__strict @t34)) % 1.42/1.61 (define @t350 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t162)) % 1.42/1.61 (define @t351 () (=> @t120 @t350)) % 1.42/1.61 (define @t352 () (=> @t121 @t351)) % 1.42/1.61 (define @t353 () (tptp.class_Rings_Oordered__cancel__semiring @t34)) % 1.42/1.61 (define @t354 () (forall @t276 (=> @t353 @t352))) % 1.42/1.61 (define @t355 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t162 @t35)) % 1.42/1.61 (define @t356 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t117 @t35)) % 1.42/1.61 (define @t357 () (tptp.hAPP @t242 @t44)) % 1.42/1.61 (define @t358 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t44 @t35)) % 1.42/1.61 (define @t359 () (tptp.class_Rings_Oordered__ring @t34)) % 1.42/1.61 (define @t360 () (tptp.class_Rings_Oordered__semiring @t34)) % 1.42/1.61 (define @t361 () (=> @t247 @t239)) % 1.42/1.61 (define @t362 () (=> @t176 @t361)) % 1.42/1.61 (define @t363 () (forall @t289 (=> @t360 @t362))) % 1.42/1.61 (define @t364 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t39 @t35)) % 1.42/1.61 (define @t365 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t117 @t44)) % 1.42/1.61 (define @t366 () (@list @t39 @t44 @t117 @t34)) % 1.42/1.61 (define @t367 () (@var "V_d" $$unsorted)) % 1.42/1.61 (define @t368 () (tptp.hAPP @t242 @t367)) % 1.42/1.61 (define @t369 () (=> @t247 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t244 @t368))) % 1.42/1.61 (define @t370 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t39 @t367)) % 1.42/1.61 (define @t371 () (@list @t367 @t39 @t117 @t44 @t34)) % 1.42/1.61 (define @t372 () (tptp.c_Orderings_Oord__class_Oless @t34 @t169 @t153)) % 1.42/1.61 (define @t373 () (tptp.c_Orderings_Oord__class_Oless @t34 @t171 @t35)) % 1.42/1.61 (define @t374 () (tptp.c_Orderings_Oord__class_Oless @t34 @t153 @t169)) % 1.42/1.61 (define @t375 () (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t171)) % 1.42/1.61 (define @t376 () (or (and @t375 @t374) (and @t373 @t372))) % 1.42/1.61 (define @t377 () (tptp.hAPP @t282 @t171)) % 1.42/1.61 (define @t378 () (tptp.hAPP @t283 @t171)) % 1.42/1.61 (define @t379 () (@list @t169 @t171 @t153 @t34)) % 1.42/1.61 (define @t380 () (tptp.hAPP @t48 @t171)) % 1.42/1.61 (define @t381 () (tptp.hAPP @t380 @t169)) % 1.42/1.61 (define @t382 () (tptp.hAPP @t380 @t153)) % 1.42/1.61 (define @t383 () (tptp.c_Orderings_Oord__class_Oless @t34 @t382 @t381)) % 1.42/1.61 (define @t384 () (@list @t169 @t153 @t171 @t34)) % 1.42/1.61 (define @t385 () (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t162)) % 1.42/1.61 (define @t386 () (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t117)) % 1.42/1.61 (define @t387 () (tptp.c_Orderings_Oord__class_Oless @t34 @t162 @t35)) % 1.42/1.61 (define @t388 () (tptp.c_Orderings_Oord__class_Oless @t34 @t117 @t35)) % 1.42/1.61 (define @t389 () (=> @t53 @t386)) % 1.42/1.61 (define @t390 () (@list @t44 @t117 @t34)) % 1.42/1.61 (define @t391 () (tptp.c_Orderings_Oord__class_Oless @t34 @t44 @t35)) % 1.42/1.61 (define @t392 () (tptp.c_Orderings_Oord__class_Oless @t34 @t244 @t243)) % 1.42/1.61 (define @t393 () (=> @t210 (=> @t234 @t249))) % 1.42/1.61 (define @t394 () (tptp.c_Orderings_Oord__class_Oless @t34 @t39 @t35)) % 1.42/1.61 (define @t395 () (tptp.c_Orderings_Oord__class_Oless @t34 @t117 @t44)) % 1.42/1.61 (define @t396 () (tptp.hAPP @t48 @t101)) % 1.42/1.61 (define @t397 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t153 @t169)) % 1.42/1.61 (define @t398 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t382 @t381)) % 1.42/1.61 (define @t399 () (tptp.c_Orderings_Oord__class_Oless @t34 @t244 @t368)) % 1.42/1.61 (define @t400 () (=> @t247 @t399)) % 1.42/1.61 (define @t401 () (tptp.c_Orderings_Oord__class_Oless @t34 @t39 @t367)) % 1.42/1.61 (define @t402 () (=> @t392 @t248)) % 1.42/1.61 (define @t403 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t8 @t18)) % 1.42/1.61 (define @t404 () (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t403)) % 1.42/1.61 (define @t405 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t404 @t221)) % 1.42/1.61 (define @t406 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t405)) % 1.42/1.61 (define @t407 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t224)) % 1.42/1.61 (define @t408 () (@list @t25)) % 1.42/1.61 (define @t409 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t195 @t95)) % 1.42/1.61 (define @t410 () (tptp.hAPP @t106 @t261)) % 1.42/1.61 (define @t411 () (tptp.hAPP @t410 @t95)) % 1.42/1.61 (define @t412 () (tptp.hAPP @t410 @t195)) % 1.42/1.61 (define @t413 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t412 @t411)) % 1.42/1.61 (define @t414 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t261)) % 1.42/1.61 (define @t415 () (@list @t95 @t195 @t261)) % 1.42/1.61 (define @t416 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t26 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t37))) % 1.42/1.61 (define @t417 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t26 @t37)) % 1.42/1.61 (define @t418 () (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t117)) % 1.42/1.61 (define @t419 () (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t44)) % 1.42/1.61 (define @t420 () (= @t419 @t418)) % 1.42/1.61 (define @t421 () (tptp.class_Rings_Odivision__ring__inverse__zero @t34)) % 1.42/1.61 (define @t422 () (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t153)) % 1.42/1.61 (define @t423 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t419) @t44)) % 1.42/1.61 (define @t424 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t44)) % 1.42/1.61 (define @t425 () (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t419) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t424))) % 1.42/1.61 (define @t426 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t26)) % 1.42/1.61 (define @t427 () (= (tptp.c_RealVector_Oof__real @t34 @t426) (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t209))) % 1.42/1.61 (define @t428 () (tptp.class_RealVector_Oreal__div__algebra @t34)) % 1.42/1.61 (define @t429 () (@list @t153 @t65)) % 1.42/1.61 (define @t430 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t65)) % 1.42/1.61 (define @t431 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t65 @t64)) % 1.42/1.61 (define @t432 () (= (tptp.c_RealVector_Oof__real @t34 @t417) (tptp.c_Groups_Ominus__class_Ominus @t34 @t209 @t208))) % 1.42/1.61 (define @t433 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t117 @t44)) % 1.42/1.61 (define @t434 () (tptp.hAPP @t48 @t419)) % 1.42/1.61 (define @t435 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t419 @t418)) % 1.42/1.61 (define @t436 () (tptp.class_Rings_Odivision__ring @t34)) % 1.42/1.61 (define @t437 () (= @t26 @t7)) % 1.42/1.61 (define @t438 () (not @t437)) % 1.42/1.61 (define @t439 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t44 @t117)) % 1.42/1.61 (define @t440 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t439)) % 1.42/1.61 (define @t441 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t117)) % 1.42/1.61 (define @t442 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t424 @t441)) % 1.42/1.61 (define @t443 () (= @t419 @t35)) % 1.42/1.61 (define @t444 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t35) @t35)) % 1.42/1.61 (define @t445 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t277) (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t419))) % 1.42/1.61 (define @t446 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t47) (tptp.hAPP (tptp.hAPP @t45 @t419) @t25))) % 1.42/1.61 (define @t447 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t26 @t37)) % 1.42/1.61 (define @t448 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t26 @t37)) % 1.42/1.61 (define @t449 () (@list @t125 @t37 @t26)) % 1.42/1.61 (define @t450 () (@list @t124 @t135 @t137)) % 1.42/1.61 (define @t451 () (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t162)) % 1.42/1.61 (define @t452 () (tptp.hAPP @t48 (tptp.c_Groups_Ominus__class_Ominus @t34 @t26 @t44))) % 1.42/1.61 (define @t453 () (tptp.hAPP @t452 @t117)) % 1.42/1.61 (define @t454 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t37 @t117)) % 1.42/1.61 (define @t455 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t78 @t162)) % 1.42/1.61 (define @t456 () (@list @t117 @t44 @t37 @t26 @t34)) % 1.42/1.61 (define @t457 () (@var "V_d_2" $$unsorted)) % 1.42/1.61 (define @t458 () (@var "V_e_2" $$unsorted)) % 1.42/1.61 (define @t459 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t153 @t169)) % 1.42/1.61 (define @t460 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP (tptp.hAPP @t48 @t459) @t458) @t171)) % 1.42/1.61 (define @t461 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t282 @t458) @t457)) % 1.42/1.61 (define @t462 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t283 @t458) @t171)) % 1.42/1.61 (define @t463 () (= @t462 @t461)) % 1.42/1.61 (define @t464 () (@list @t457 @t169 @t171 @t458 @t153 @t34)) % 1.42/1.61 (define @t465 () (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP (tptp.hAPP @t48 (tptp.c_Groups_Ominus__class_Ominus @t34 @t169 @t153)) @t458) @t457)) % 1.42/1.61 (define @t466 () (tptp.hAPP @t19 @t324)) % 1.42/1.61 (define @t467 () (tptp.hAPP @t70 @t65)) % 1.42/1.61 (define @t468 () (tptp.tc_Polynomial_Opoly @t34)) % 1.42/1.61 (define @t469 () (tptp.c_Groups_Ozero__class_Ozero @t468)) % 1.42/1.61 (define @t470 () (@var "V_pb_2" $$unsorted)) % 1.42/1.61 (define @t471 () (= @t470 @t469)) % 1.42/1.61 (define @t472 () (tptp.class_Groups_Ozero @t34)) % 1.42/1.61 (define @t473 () (@list @t470 @t34)) % 1.42/1.61 (define @t474 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t419 @t418)) % 1.42/1.61 (define @t475 () (=> @t150 (= (tptp.hAPP @t434 @t44) @t51))) % 1.42/1.61 (define @t476 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t462 @t461)) % 1.42/1.61 (define @t477 () (tptp.c_Orderings_Oord__class_Oless @t34 @t462 @t461)) % 1.42/1.61 (define @t478 () (tptp.hAPP @t77 @t26)) % 1.42/1.61 (define @t479 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t117 @t367)) % 1.42/1.61 (define @t480 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t44 @t39)) % 1.42/1.61 (define @t481 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t367)) % 1.42/1.61 (define @t482 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t286 @t481)) % 1.42/1.61 (define @t483 () (tptp.hAPP @t19 @t426)) % 1.42/1.61 (define @t484 () (@list @t26)) % 1.42/1.61 (define @t485 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t125)) % 1.42/1.61 (define @t486 () (@list @t125 @t124)) % 1.42/1.61 (define @t487 () (@var "V_P_2" $$unsorted)) % 1.42/1.61 (define @t488 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t487 @t95) @t195))) % 1.42/1.61 (define @t489 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t95 @t195)) % 1.42/1.61 (define @t490 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t195 @t95)) % 1.42/1.61 (define @t491 () (@var "V_t" $$unsorted)) % 1.42/1.61 (define @t492 () (= @t101 @t25)) % 1.42/1.61 (define @t493 () (not @t492)) % 1.42/1.61 (define @t494 () (@list @t101 @t25)) % 1.42/1.61 (define @t495 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t26 @t37)) % 1.42/1.61 (define @t496 () (not @t196)) % 1.42/1.61 (define @t497 () (@list @t95 @t195)) % 1.42/1.61 (define @t498 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t101)) % 1.42/1.61 (define @t499 () (@list @t25 @t101)) % 1.42/1.61 (define @t500 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 @t125)) % 1.42/1.61 (define @t501 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t130)) % 1.42/1.61 (define @t502 () (@list @t130 @t25 @t101)) % 1.42/1.61 (define @t503 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t261 @t95)) % 1.42/1.61 (define @t504 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t261 @t195)) % 1.42/1.61 (define @t505 () (@list @t95 @t261 @t195)) % 1.42/1.61 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t101)) % 1.42/1.61 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t103 @t131)) % 1.42/1.61 (define @t508 () (tptp.hAPP @t106 @t25)) % 1.42/1.61 (define @t509 () (tptp.hAPP @t508 @t130)) % 1.42/1.61 (define @t510 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t95)) % 1.42/1.61 (define @t511 () (@list @t95)) % 1.42/1.61 (define @t512 () (@list @t101)) % 1.42/1.61 (define @t513 () (= @t195 @t16)) % 1.42/1.61 (define @t514 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t195 @t95)) % 1.42/1.61 (define @t515 () (tptp.hAPP @t106 @t195)) % 1.42/1.61 (define @t516 () (tptp.hAPP @t515 @t95)) % 1.42/1.61 (define @t517 () (= @t261 @t16)) % 1.42/1.61 (define @t518 () (= @t412 @t411)) % 1.42/1.61 (define @t519 () (or @t196 @t517)) % 1.42/1.61 (define @t520 () (tptp.hAPP (tptp.hAPP @t106 @t95) @t261)) % 1.42/1.61 (define @t521 () (tptp.hAPP @t515 @t261)) % 1.42/1.61 (define @t522 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t103 @t131)) % 1.42/1.61 (define @t523 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t130 @t25)) % 1.42/1.61 (define @t524 () (@var "V_l" $$unsorted)) % 1.42/1.61 (define @t525 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t130 @t524)) % 1.42/1.61 (define @t526 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t524)) % 1.42/1.61 (define @t527 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t103 @t130)) % 1.42/1.61 (define @t528 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t103 @t131)) % 1.42/1.61 (define @t529 () (@list @t524 @t130 @t131 @t103)) % 1.42/1.61 (define @t530 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t130)) % 1.42/1.61 (define @t531 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t131)) % 1.42/1.61 (define @t532 () (@list @t101 @t131 @t103)) % 1.42/1.61 (define @t533 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t101)) % 1.42/1.61 (define @t534 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t131 @t103)) % 1.42/1.61 (define @t535 () (@var "B_k" $$unsorted)) % 1.42/1.61 (define @t536 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t130 @t524)) % 1.42/1.61 (define @t537 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t130 @t25)) % 1.42/1.61 (define @t538 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t130)) % 1.42/1.61 (define @t539 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t538 @t25)) % 1.42/1.61 (define @t540 () (@list @t25 @t130 @t101)) % 1.42/1.61 (define @t541 () (tptp.hAPP @t106 @t131)) % 1.42/1.61 (define @t542 () (tptp.hAPP @t541 @t324)) % 1.42/1.61 (define @t543 () (tptp.hAPP @t106 @t103)) % 1.42/1.61 (define @t544 () (tptp.hAPP @t543 @t324)) % 1.42/1.61 (define @t545 () (tptp.hAPP @t107 @t130)) % 1.42/1.61 (define @t546 () (tptp.hAPP @t106 @t130)) % 1.42/1.61 (define @t547 () (tptp.hAPP @t546 @t25)) % 1.42/1.61 (define @t548 () (tptp.hAPP @t546 @t101)) % 1.42/1.61 (define @t549 () (@list @t25 @t101 @t130)) % 1.42/1.61 (define @t550 () (tptp.hAPP @t543 @t130)) % 1.42/1.61 (define @t551 () (tptp.hAPP @t546 @t131)) % 1.42/1.61 (define @t552 () (tptp.hAPP @t546 @t103)) % 1.42/1.61 (define @t553 () (tptp.hAPP @t541 @t130)) % 1.42/1.61 (define @t554 () (tptp.hAPP @t107 @t101)) % 1.42/1.61 (define @t555 () (and (= @t195 @t111) (= @t95 @t111))) % 1.42/1.61 (define @t556 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t195)) % 1.42/1.61 (define @t557 () (and @t414 @t490)) % 1.42/1.61 (define @t558 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t411)) % 1.42/1.61 (define @t559 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t130)) % 1.42/1.61 (define @t560 () (= @t101 @t16)) % 1.42/1.61 (define @t561 () (=> @t414 @t409)) % 1.42/1.61 (define @t562 () (@var "B_t" $$unsorted)) % 1.42/1.61 (define @t563 () (tptp.hAPP @t91 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_c____ @t3))) % 1.42/1.61 (define @t564 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q____)) % 1.42/1.61 (define @t565 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t470)) % 1.42/1.61 (define @t566 () (@var "B_q" $$unsorted)) % 1.42/1.61 (define @t567 () (forall @t6 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t566) @t3) @t563))) % 1.42/1.61 (define @t568 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t566)) % 1.42/1.61 (define @t569 () (= @t568 @t257)) % 1.42/1.61 (define @t570 () (@list @t566)) % 1.42/1.61 (define @t571 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_q____)) % 1.42/1.61 (define @t572 () (tptp.hAPP @t564 @t9)) % 1.42/1.61 (define @t573 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t26)) % 1.42/1.61 (define @t574 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t572)) % 1.42/1.61 (define @t575 () (tptp.c_Polynomial_Osmult tptp.tc_Complex_Ocomplex (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex @t572) tptp.v_q____)) % 1.42/1.61 (define @t576 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t575)) % 1.42/1.61 (define @t577 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t76)) % 1.42/1.61 (define @t578 () (@list @t76)) % 1.42/1.61 (define @t579 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t117)) % 1.42/1.61 (define @t580 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t44)) % 1.42/1.61 (define @t581 () (tptp.hAPP @t48 @t580)) % 1.42/1.61 (define @t582 () (tptp.hAPP @t581 @t579)) % 1.42/1.61 (define @t583 () (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t162) @t582)) % 1.42/1.61 (define @t584 () (tptp.hAPP (tptp.hAPP @t45 @t580) @t25)) % 1.42/1.61 (define @t585 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t47)) % 1.42/1.61 (define @t586 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t25)) % 1.42/1.61 (define @t587 () (= @t586 @t16)) % 1.42/1.61 (define @t588 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t524 @t101)) % 1.42/1.61 (define @t589 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t524 @t25)) % 1.42/1.61 (define @t590 () (@list @t524 @t25 @t101)) % 1.42/1.61 (define @t591 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t103 @t131)) % 1.42/1.61 (define @t592 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t591 @t130)) % 1.42/1.61 (define @t593 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t95 @t261)) % 1.42/1.61 (define @t594 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t195 @t261)) % 1.42/1.61 (define @t595 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t261 @t95)) % 1.42/1.61 (define @t596 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t261 @t195)) % 1.42/1.61 (define @t597 () (@list @t367 @t117 @t39 @t44 @t34)) % 1.42/1.61 (define @t598 () (tptp.c_Orderings_Oord__class_Oless @t34 @t310 @t169)) % 1.42/1.61 (define @t599 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t153)) % 1.42/1.61 (define @t600 () (@var "V_r_2" $$unsorted)) % 1.42/1.61 (define @t601 () (tptp.c_RealVector_Oof__real @t34 @t76)) % 1.42/1.61 (define @t602 () (@list @t76 @t34)) % 1.42/1.61 (define @t603 () (@list @t195 @t95)) % 1.42/1.61 (define @t604 () (@var "V_j_2" $$unsorted)) % 1.42/1.61 (define @t605 () (@var "V_i_2" $$unsorted)) % 1.42/1.61 (define @t606 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t605 @t261)) % 1.42/1.61 (define @t607 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t604 @t261)) % 1.42/1.61 (define @t608 () (@list @t261 @t604 @t605)) % 1.42/1.61 (define @t609 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t586) @t101)) % 1.42/1.61 (define @t610 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t131 @t130)) % 1.42/1.61 (define @t611 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t610 @t103)) % 1.42/1.61 (define @t612 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t534 @t130)) % 1.42/1.61 (define @t613 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t130 @t131)) % 1.42/1.61 (define @t614 () (@list @t103 @t131 @t130)) % 1.42/1.61 (define @t615 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t103 @t610)) % 1.42/1.61 (define @t616 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t522 @t130)) % 1.42/1.61 (define @t617 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t604 @t605)) % 1.42/1.61 (define @t618 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t605 @t604)) % 1.42/1.61 (define @t619 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t26)) % 1.42/1.61 (define @t620 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t44)) % 1.42/1.61 (define @t621 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t44 @t7)) % 1.42/1.61 (define @t622 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t76 @t7)) % 1.42/1.61 (define @t623 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t101)) % 1.42/1.61 (define @t624 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t524)) % 1.42/1.61 (define @t625 () (@var "B_d" $$unsorted)) % 1.42/1.61 (define @t626 () (tptp.hBOOL (tptp.hAPP @t487 @t625))) % 1.42/1.61 (define @t627 () (= @t153 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t169 @t625))) % 1.42/1.61 (define @t628 () (@list @t625)) % 1.42/1.61 (define @t629 () (tptp.hBOOL (tptp.hAPP @t487 @t16))) % 1.42/1.61 (define @t630 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t153 @t169)) % 1.42/1.61 (define @t631 () (tptp.hBOOL (tptp.hAPP @t487 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t153 @t169)))) % 1.42/1.61 (define @t632 () (@list @t169 @t153 @t487)) % 1.42/1.61 (define @t633 () (@var "V_u_2" $$unsorted)) % 1.42/1.61 (define @t634 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 @t617) @t633) @t95)) % 1.42/1.61 (define @t635 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 @t604) @t633) @t95)) % 1.42/1.61 (define @t636 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 @t605) @t633) @t195)) % 1.42/1.61 (define @t637 () (= @t636 @t635)) % 1.42/1.61 (define @t638 () (@list @t95 @t195 @t633 @t604 @t605)) % 1.42/1.61 (define @t639 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t544 @t101) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t542 @t25))) % 1.42/1.61 (define @t640 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t636 @t635)) % 1.42/1.61 (define @t641 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t605 @t604)) @t633) @t195)) % 1.42/1.61 (define @t642 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t604 @t605)) % 1.42/1.61 (define @t643 () (@list @t95 @t195 @t633 @t605 @t604)) % 1.42/1.61 (define @t644 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t636 @t635)) % 1.42/1.61 (define @t645 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t111)) % 1.42/1.61 (define @t646 () (tptp.hAPP @t45 @t101)) % 1.42/1.61 (define @t647 () (tptp.hAPP @t646 @t25)) % 1.42/1.61 (define @t648 () (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t65)) % 1.42/1.61 (define @t649 () (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t65)) % 1.42/1.61 (define @t650 () (tptp.class_Fields_Olinordered__field__inverse__zero @t34)) % 1.42/1.61 (define @t651 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t65 @t35)) % 1.42/1.61 (define @t652 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t575)) % 1.42/1.61 (define @t653 () (tptp.hAPP @t652 @t9)) % 1.42/1.61 (define @t654 () (tptp.hAPP @t652 @t10)) % 1.42/1.61 (define @t655 () (@var "V_wa_2" $$unsorted)) % 1.42/1.61 (define @t656 () (tptp.hAPP @t28 @t10)) % 1.42/1.61 (define @t657 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t117 @t367)) % 1.42/1.61 (define @t658 () (tptp.class_Groups_Oab__group__add @t34)) % 1.42/1.61 (define @t659 () (tptp.class_Fields_Ofield__inverse__zero @t34)) % 1.42/1.61 (define @t660 () (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t419) (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t580))) % 1.42/1.61 (define @t661 () (tptp.c_Orderings_Oord__class_Oless @t34 @t419 @t418)) % 1.42/1.61 (define @t662 () (tptp.class_Fields_Olinordered__field @t34)) % 1.42/1.61 (define @t663 () (tptp.c_Orderings_Oord__class_Oless @t34 @t419 @t35)) % 1.42/1.61 (define @t664 () (tptp.c_Orderings_Oord__class_Oless @t34 @t418 @t419)) % 1.42/1.61 (define @t665 () (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t419)) % 1.42/1.61 (define @t666 () (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t153)) % 1.42/1.61 (define @t667 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t26)) % 1.42/1.61 (define @t668 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t419 @t418)) % 1.42/1.61 (define @t669 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t418 @t419)) % 1.42/1.61 (define @t670 () (tptp.class_Fields_Ofield @t34)) % 1.42/1.61 (define @t671 () (@var "V_x1" $$unsorted)) % 1.42/1.61 (define @t672 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t671)) % 1.42/1.61 (define @t673 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t19 @t671) @t37) (tptp.hAPP @t202 @t324))) % 1.42/1.61 (define @t674 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t671)) % 1.42/1.61 (define @t675 () (@list @t324 @t37 @t671 @t26)) % 1.42/1.61 (define @t676 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t111)) % 1.42/1.61 (define @t677 () (@var "V_p" $$unsorted)) % 1.42/1.61 (define @t678 () (tptp.hAPP @t98 @t677)) % 1.42/1.61 (define @t679 () (tptp.hAPP @t106 @t677)) % 1.42/1.61 (define @t680 () (tptp.hAPP @t678 @t101)) % 1.42/1.61 (define @t681 () (not @t560)) % 1.42/1.61 (define @t682 () (= @t677 @t469)) % 1.42/1.61 (define @t683 () (tptp.c_Polynomial_OpCons @t34 @t44 @t677)) % 1.42/1.61 (define @t684 () (tptp.c_Polynomial_Osmult @t34 @t39 @t677)) % 1.42/1.61 (define @t685 () (tptp.class_Rings_Ocomm__semiring__0 @t34)) % 1.42/1.61 (define @t686 () (@list @t44 @t677 @t39 @t34)) % 1.42/1.61 (define @t687 () (= @t64 @t35)) % 1.42/1.61 (define @t688 () (and @t86 @t687)) % 1.42/1.61 (define @t689 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t319 (tptp.hAPP (tptp.hAPP @t48 @t64) @t64))) % 1.42/1.61 (define @t690 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t478 (tptp.hAPP @t228 @t37))) % 1.42/1.61 (define @t691 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t93 (tptp.c_Polynomial_Omonom tptp.tc_Complex_Ocomplex tptp.v_a____ (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat tptp.v_k____ @t111)))) % 1.42/1.61 (define @t692 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t691)) % 1.42/1.61 (define @t693 () (tptp.c_Polynomial_Opoly @t34 @t677)) % 1.42/1.61 (define @t694 () (tptp.hAPP @t693 @t26)) % 1.42/1.61 (define @t695 () (@list @t26 @t677 @t44 @t34)) % 1.42/1.61 (define @t696 () (tptp.c_Polynomial_Omonom @t34 @t153 @t95)) % 1.42/1.61 (define @t697 () (tptp.c_Polynomial_Omonom @t34 @t44 @t25)) % 1.42/1.61 (define @t698 () (tptp.c_Polynomial_Omonom @t34 @t117 @t25)) % 1.42/1.61 (define @t699 () (tptp.class_Groups_Ocomm__monoid__add @t34)) % 1.42/1.61 (define @t700 () (@var "V_q" $$unsorted)) % 1.42/1.61 (define @t701 () (tptp.c_Groups_Otimes__class_Otimes @t468)) % 1.42/1.61 (define @t702 () (tptp.hAPP @t701 @t700)) % 1.42/1.61 (define @t703 () (tptp.hAPP @t701 @t677)) % 1.42/1.61 (define @t704 () (tptp.c_Groups_Oplus__class_Oplus @t468 @t677 @t700)) % 1.42/1.61 (define @t705 () (tptp.class_Rings_Ocomm__semiring__1 @t34)) % 1.42/1.61 (define @t706 () (tptp.c_Polynomial_OpCons @t34 @t44 @t469)) % 1.42/1.61 (define @t707 () (tptp.c_Groups_Oabs__class_Oabs @t468 @t26)) % 1.42/1.61 (define @t708 () (tptp.c_Orderings_Oord__class_Oless @t468 @t26 @t469)) % 1.42/1.61 (define @t709 () (@list @t700 @t34)) % 1.42/1.61 (define @t710 () (@list @t677 @t34)) % 1.42/1.61 (define @t711 () (@var "V_qa_2" $$unsorted)) % 1.42/1.61 (define @t712 () (= @t470 @t711)) % 1.42/1.61 (define @t713 () (tptp.c_Polynomial_Opoly @t34 @t470)) % 1.42/1.61 (define @t714 () (and (tptp.class_Int_Oring__char__0 @t34) @t284)) % 1.42/1.61 (define @t715 () (tptp.c_Polynomial_OpCons @t34 @t153 @t470)) % 1.42/1.61 (define @t716 () (tptp.c_Polynomial_Osmult @t34 @t44 @t700)) % 1.42/1.61 (define @t717 () (tptp.c_Polynomial_Osmult @t34 @t44 @t677)) % 1.42/1.61 (define @t718 () (tptp.c_Groups_Ominus__class_Ominus @t468 @t677 @t700)) % 1.42/1.61 (define @t719 () (tptp.class_Rings_Ocomm__ring @t34)) % 1.42/1.61 (define @t720 () (@list @t700 @t677 @t44 @t34)) % 1.42/1.61 (define @t721 () (tptp.hAPP @t703 @t700)) % 1.42/1.61 (define @t722 () (tptp.c_Polynomial_Osmult @t34 @t44 @t721)) % 1.42/1.61 (define @t723 () (@list @t700 @t44 @t677 @t34)) % 1.42/1.61 (define @t724 () (tptp.c_Groups_Ouminus__class_Ouminus @t468 @t717)) % 1.42/1.61 (define @t725 () (tptp.c_Groups_Ouminus__class_Ouminus @t468 @t677)) % 1.42/1.61 (define @t726 () (@list @t677 @t44 @t34)) % 1.42/1.61 (define @t727 () (tptp.class_Rings_Ocomm__ring__1 @t34)) % 1.42/1.61 (define @t728 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t700) @t26)) % 1.42/1.61 (define @t729 () (@list @t26 @t700 @t677 @t34)) % 1.42/1.61 (define @t730 () (tptp.c_Groups_Oone__class_Oone @t468)) % 1.42/1.61 (define @t731 () (tptp.c_Polynomial_OpCons @t34 @t117 @t700)) % 1.42/1.61 (define @t732 () (@list @t700 @t117 @t677 @t44 @t34)) % 1.42/1.61 (define @t733 () (tptp.c_Power_Opower__class_Opower @t468)) % 1.42/1.61 (define @t734 () (tptp.c_Polynomial_Osmult @t34 @t117 @t677)) % 1.42/1.61 (define @t735 () (@list @t677 @t117 @t44 @t34)) % 1.42/1.61 (define @t736 () (tptp.tc_Polynomial_Opoly @t115)) % 1.42/1.61 (define @t737 () (tptp.c_Polynomial_Opoly @t34 @t469)) % 1.42/1.61 (define @t738 () (@list @t470 @t153 @t34)) % 1.42/1.61 (define @t739 () (tptp.c_Polynomial_OpCons @t34 @t51 @t469)) % 1.42/1.61 (define @t740 () (tptp.c_Polynomial_OpCons @t34 @t35 @t721)) % 1.42/1.61 (define @t741 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t580 @t579)) % 1.42/1.61 (define @t742 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t439)) % 1.42/1.61 (define @t743 () (tptp.class_Groups_Oordered__ab__group__add__abs @t34)) % 1.42/1.61 (define @t744 () (= @t580 @t277)) % 1.42/1.61 (define @t745 () (=> @t391 @t744)) % 1.42/1.61 (define @t746 () (= @t117 @t39)) % 1.42/1.61 (define @t747 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t44)) % 1.42/1.61 (define @t748 () (tptp.class_Groups_Ocancel__semigroup__add @t34)) % 1.42/1.61 (define @t749 () (=> (= @t286 @t312) @t746)) % 1.42/1.61 (define @t750 () (= @t169 @t171)) % 1.42/1.61 (define @t751 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t171 @t153)) % 1.42/1.61 (define @t752 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t169 @t153)) % 1.42/1.61 (define @t753 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t153 @t171)) % 1.42/1.61 (define @t754 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t153 @t169)) % 1.42/1.61 (define @t755 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t117 @t39)) % 1.42/1.61 (define @t756 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t286 @t39)) % 1.42/1.61 (define @t757 () (= @t756 (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t755))) % 1.42/1.61 (define @t758 () (= @t171 @t457)) % 1.42/1.61 (define @t759 () (= @t459 (tptp.c_Groups_Ominus__class_Ominus @t34 @t171 @t457))) % 1.42/1.61 (define @t760 () (@list @t457 @t171 @t169 @t153 @t34)) % 1.42/1.61 (define @t761 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t35 @t44) @t44)) % 1.42/1.61 (define @t762 () (tptp.class_Groups_Omonoid__add @t34)) % 1.42/1.61 (define @t763 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t153 @t153)) % 1.42/1.61 (define @t764 () (tptp.class_Groups_Olinordered__ab__group__add @t34)) % 1.42/1.61 (define @t765 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t35) @t44)) % 1.42/1.61 (define @t766 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t169 @t171)) % 1.42/1.61 (define @t767 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t34)) % 1.42/1.61 (define @t768 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t171 @t169)) % 1.42/1.61 (define @t769 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t312 @t755)) % 1.42/1.61 (define @t770 () (tptp.class_Groups_Oordered__ab__semigroup__add @t34)) % 1.42/1.61 (define @t771 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 @t117)) % 1.42/1.61 (define @t772 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t747 @t771)) % 1.42/1.61 (define @t773 () (tptp.c_Orderings_Oord__class_Oless @t34 @t312 @t755)) % 1.42/1.61 (define @t774 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t34)) % 1.42/1.61 (define @t775 () (tptp.c_Orderings_Oord__class_Oless @t34 @t747 @t771)) % 1.42/1.61 (define @t776 () (tptp.c_Orderings_Oord__class_Oless @t34 @t312 @t657)) % 1.42/1.61 (define @t777 () (=> @t401 @t776)) % 1.42/1.61 (define @t778 () (= @t459 @t35)) % 1.42/1.61 (define @t779 () (tptp.class_Groups_Oordered__ab__group__add @t34)) % 1.42/1.61 (define @t780 () (= (tptp.hAPP (tptp.hAPP @t48 @t51) @t44) @t44)) % 1.42/1.61 (define @t781 () (= (tptp.hAPP @t49 @t51) @t44)) % 1.42/1.61 (define @t782 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t310 @t169)) % 1.42/1.61 (define @t783 () (@list @t153 @t169 @t34)) % 1.42/1.61 (define @t784 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t286)) % 1.42/1.61 (define @t785 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t439)) % 1.42/1.61 (define @t786 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t580 @t117)) % 1.42/1.61 (define @t787 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t433)) % 1.42/1.61 (define @t788 () (tptp.class_Groups_Oordered__comm__monoid__add @t34)) % 1.42/1.61 (define @t789 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t117 @t312)) % 1.42/1.61 (define @t790 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t117 @t39)) % 1.42/1.61 (define @t791 () (= (tptp.c_Orderings_Oord__class_Oless @t34 @t763 @t35) @t309)) % 1.42/1.61 (define @t792 () (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t286)) % 1.42/1.61 (define @t793 () (=> @t386 @t792)) % 1.42/1.61 (define @t794 () (tptp.c_Orderings_Oord__class_Oless @t34 @t286 @t35)) % 1.42/1.61 (define @t795 () (=> @t388 @t794)) % 1.42/1.61 (define @t796 () (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t277 @t44) @t35)) % 1.42/1.61 (define @t797 () (= @t580 @t44)) % 1.42/1.61 (define @t798 () (= @t439 (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t272))) % 1.42/1.61 (define @t799 () (tptp.c_Groups_Ominus__class_Ominus @t34 @t580 @t579)) % 1.42/1.61 (define @t800 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t277 @t117)) % 1.42/1.61 (define @t801 () (tptp.hAPP @t693 @t39)) % 1.42/1.61 (define @t802 () (tptp.c_Polynomial_Osynthetic__div @t34 @t677 @t39)) % 1.42/1.61 (define @t803 () (tptp.c_Polynomial_OpCons @t34 @t801 @t802)) % 1.42/1.61 (define @t804 () (@list @t65)) % 1.42/1.61 (define @t805 () (tptp.hAPP @t59 @t700)) % 1.42/1.61 (define @t806 () (tptp.hAPP @t59 @t677)) % 1.42/1.61 (define @t807 () (@list @t700 @t677 @t26 @t34)) % 1.42/1.61 (define @t808 () (@var "V_ry" $$unsorted)) % 1.42/1.61 (define @t809 () (@var "V_lx" $$unsorted)) % 1.42/1.61 (define @t810 () (tptp.hAPP @t48 @t809)) % 1.42/1.61 (define @t811 () (@var "V_rx" $$unsorted)) % 1.42/1.61 (define @t812 () (tptp.hAPP @t48 @t811)) % 1.42/1.61 (define @t813 () (tptp.hAPP @t812 @t808)) % 1.42/1.61 (define @t814 () (tptp.hAPP @t810 @t813)) % 1.42/1.61 (define @t815 () (@list @t808 @t811 @t809 @t34)) % 1.42/1.61 (define @t816 () (tptp.hAPP @t48 (tptp.hAPP @t810 @t811))) % 1.42/1.61 (define @t817 () (@var "V_ly" $$unsorted)) % 1.42/1.61 (define @t818 () (tptp.hAPP @t48 @t817)) % 1.42/1.61 (define @t819 () (tptp.hAPP @t48 (tptp.hAPP @t810 @t817))) % 1.42/1.61 (define @t820 () (tptp.hAPP @t819 @t811)) % 1.42/1.61 (define @t821 () (@list @t811 @t817 @t809 @t34)) % 1.42/1.61 (define @t822 () (tptp.hAPP @t819 @t813)) % 1.42/1.61 (define @t823 () (@list @t808 @t811 @t817 @t809 @t34)) % 1.42/1.61 (define @t824 () (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t481)) % 1.42/1.61 (define @t825 () (@list @t367 @t39 @t44 @t34)) % 1.42/1.61 (define @t826 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t34)) % 1.42/1.61 (define @t827 () (@list @t125 @t37 @t26 @t34)) % 1.42/1.61 (define @t828 () (tptp.hAPP @t49 @t101)) % 1.42/1.61 (define @t829 () (tptp.hAPP @t48 @t655)) % 1.42/1.61 (define @t830 () (tptp.hAPP @t45 @t37)) % 1.42/1.61 (define @t831 () (tptp.hAPP @t48 @t76)) % 1.42/1.61 (define @t832 () (tptp.hAPP (tptp.hAPP @t48 @t320) @t101)) % 1.42/1.61 (define @t833 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t37)) % 1.42/1.61 (define @t834 () (tptp.c_Polynomial_Opcompose @t34 @t677 @t700)) % 1.42/1.61 (define @t835 () (@var "B_K" $$unsorted)) % 1.42/1.61 (define @t836 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t34 (tptp.c_RealVector_Oof__real @t34 @t3)) (tptp.hAPP (tptp.hAPP @t19 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t3)) @t835)))) % 1.42/1.61 (define @t837 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t835)) % 1.42/1.61 (define @t838 () (@list @t835)) % 1.42/1.61 (define @t839 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.42/1.61 (define @t840 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.42/1.61 (define @t841 () (tptp.hAPP @t840 @t26)) % 1.42/1.61 (define @t842 () (tptp.hAPP @t841 @t37)) % 1.42/1.61 (define @t843 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.42/1.61 (define @t844 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.42/1.61 (define @t845 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t844 @t125)) % 1.42/1.61 (define @t846 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t125)) % 1.42/1.61 (define @t847 () (@list @t67)) % 1.42/1.61 (define @t848 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t124 @t125)) % 1.42/1.61 (define @t849 () (@var "V_z_H" $$unsorted)) % 1.42/1.61 (define @t850 () (@var "V_w_H" $$unsorted)) % 1.42/1.61 (define @t851 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t103 @t131)) % 1.42/1.61 (define @t852 () (tptp.hAPP @t843 @t135)) % 1.42/1.61 (define @t853 () (tptp.hAPP @t852 @t124)) % 1.42/1.61 (define @t854 () (tptp.hAPP @t843 @t137)) % 1.42/1.61 (define @t855 () (tptp.hAPP @t854 @t124)) % 1.42/1.61 (define @t856 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t137 @t135)) % 1.42/1.61 (define @t857 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t655 @t67)) % 1.42/1.61 (define @t858 () (@list @t67 @t655)) % 1.42/1.61 (define @t859 () (tptp.hAPP @t843 @t124)) % 1.42/1.61 (define @t860 () (tptp.hAPP @t859 @t135)) % 1.42/1.61 (define @t861 () (tptp.hAPP @t859 @t137)) % 1.42/1.61 (define @t862 () (@list @t135 @t137 @t124)) % 1.42/1.61 (define @t863 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t655 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t67 @t844))) % 1.42/1.61 (define @t864 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t103)) % 1.42/1.61 (define @t865 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t103 @t839)) % 1.42/1.61 (define @t866 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t137 @t135)) % 1.42/1.61 (define @t867 () (tptp.hAPP @t843 @t125)) % 1.42/1.61 (define @t868 () (tptp.hAPP @t867 @t124)) % 1.42/1.61 (define @t869 () (tptp.hAPP @t843 @t130)) % 1.42/1.61 (define @t870 () (tptp.hAPP @t23 tptp.c_Complex_Oii)) % 1.42/1.61 (define @t871 () (tptp.hAPP (tptp.hAPP @t843 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t26 @t125)) @t844)) @t367)) % 1.42/1.61 (define @t872 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t839 @t367)) % 1.42/1.61 (define @t873 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t125 @t124)) % 1.42/1.61 (define @t874 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t103 @t131)) % 1.42/1.61 (define @t875 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t124 @t125)) % 1.42/1.61 (define @t876 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t125 @t124)) % 1.42/1.61 (define @t877 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t125 @t124)) % 1.42/1.61 (define @t878 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t124)) % 1.42/1.61 (define @t879 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t125 @t878)) % 1.42/1.61 (define @t880 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t76)) % 1.42/1.61 (define @t881 () (= @t44 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t76 (tptp.hAPP (tptp.hAPP @t843 @t44) @t700)))) % 1.42/1.61 (define @t882 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t839 @t44)) % 1.42/1.61 (define @t883 () (@list @t700 @t76 @t44)) % 1.42/1.61 (define @t884 () (@var "V_q_H" $$unsorted)) % 1.42/1.61 (define @t885 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t884 @t700)) % 1.42/1.61 (define @t886 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t297 @t117)) % 1.42/1.61 (define @t887 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t839 @t297)) % 1.42/1.61 (define @t888 () (@var "V_r_H" $$unsorted)) % 1.42/1.61 (define @t889 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t888)) % 1.42/1.61 (define @t890 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t76 @t117)) % 1.42/1.61 (define @t891 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t843 @t297) @t884) @t888)) % 1.42/1.61 (define @t892 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t891 @t839)) % 1.42/1.61 (define @t893 () (tptp.hAPP @t843 @t117)) % 1.42/1.61 (define @t894 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t893 @t700) @t76)) % 1.42/1.61 (define @t895 () (= @t894 @t891)) % 1.42/1.61 (define @t896 () (@list @t888 @t884 @t297 @t76 @t700 @t117)) % 1.42/1.61 (define @t897 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t700 @t884)) % 1.42/1.61 (define @t898 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t893 @t884) @t888) @t894)) % 1.42/1.61 (define @t899 () (@list @t76 @t700 @t888 @t884 @t117)) % 1.42/1.61 (define @t900 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t888 @t297)) % 1.42/1.61 (define @t901 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t891)) % 1.42/1.61 (define @t902 () (@list @t888 @t884 @t297)) % 1.42/1.61 (define @t903 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t26)) % 1.42/1.61 (define @t904 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t37)) % 1.42/1.61 (define @t905 () (tptp.class_Orderings_Opreorder @t34)) % 1.42/1.61 (define @t906 () (tptp.tc_fun @t34 @t115)) % 1.42/1.61 (define @t907 () (tptp.c_Orderings_Oord__class_Oless__eq @t906 @t2 @t1)) % 1.42/1.61 (define @t908 () (tptp.class_Orderings_Oord @t115)) % 1.42/1.61 (define @t909 () (@list @t1 @t2 @t34 @t115)) % 1.42/1.61 (define @t910 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t37 @t26)) % 1.42/1.61 (define @t911 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t26 @t37)) % 1.42/1.61 (define @t912 () (tptp.class_Orderings_Olinorder @t34)) % 1.42/1.61 (define @t913 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t64 @t65)) % 1.42/1.61 (define @t914 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t65 @t64)) % 1.42/1.61 (define @t915 () (tptp.class_Orderings_Oorder @t34)) % 1.42/1.61 (define @t916 () (= @t914 @t141)) % 1.42/1.61 (define @t917 () (@list @t65 @t64 @t34)) % 1.42/1.61 (define @t918 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t44 @t39)) % 1.42/1.61 (define @t919 () (tptp.class_Orderings_Oord @t34)) % 1.42/1.61 (define @t920 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t39 @t44)) % 1.42/1.61 (define @t921 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t37 @t125)) % 1.42/1.61 (define @t922 () (@list @t26 @t37 @t34)) % 1.42/1.61 (define @t923 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t125 @t37)) % 1.42/1.61 (define @t924 () (@list @t125 @t26 @t37 @t34)) % 1.42/1.61 (define @t925 () (tptp.c_Orderings_Oord__class_Oless @t34 @t64 @t65)) % 1.42/1.61 (define @t926 () (tptp.c_Orderings_Oord__class_Oless @t34 @t65 @t64)) % 1.42/1.61 (define @t927 () (not @t926)) % 1.42/1.61 (define @t928 () (= @t927 @t141)) % 1.42/1.61 (define @t929 () (tptp.c_Orderings_Oord__class_Oless @t34 @t44 @t39)) % 1.42/1.61 (define @t930 () (tptp.c_Orderings_Oord__class_Oless @t34 @t39 @t44)) % 1.42/1.61 (define @t931 () (tptp.c_Orderings_Oord__class_Oless @t34 @t26 @t125)) % 1.42/1.61 (define @t932 () (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t37 @t125) @t931)) % 1.42/1.61 (define @t933 () (tptp.c_Orderings_Oord__class_Oless @t34 @t125 @t26)) % 1.42/1.61 (define @t934 () (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t125 @t37) @t933)) % 1.42/1.61 (define @t935 () (not @t118)) % 1.42/1.61 (define @t936 () (@var "B_a" $$unsorted)) % 1.42/1.61 (define @t937 () (tptp.c_RComplete_Onatceiling @t26)) % 1.42/1.61 (define @t938 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t26 @t8)) % 1.42/1.61 (define @t939 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t26 @t7)) % 1.42/1.61 (define @t940 () (tptp.c_RComplete_Onatceiling @t65)) % 1.42/1.61 (define @t941 () (@var "V_one_2" $$unsorted)) % 1.42/1.61 (define @t942 () (@var "V_times_2" $$unsorted)) % 1.42/1.61 (define @t943 () (@var "V_M_2" $$unsorted)) % 1.42/1.61 (define @t944 () (@var "V_X_2" $$unsorted)) % 1.42/1.61 (define @t945 () (tptp.hAPP @t944 @t943)) % 1.42/1.61 (define @t946 () (tptp.hAPP @t944 @t260)) % 1.42/1.61 (define @t947 () (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t943 @t260)) % 1.42/1.61 (define @t948 () (@var "B_b" $$unsorted)) % 1.42/1.61 (define @t949 () (tptp.hAPP (tptp.hAPP @t19 (tptp.c_RealVector_Onorm__class_Onorm @t34 @t3)) @t835)) % 1.42/1.61 (define @t950 () (tptp.c_RComplete_Onatfloor @t26)) % 1.42/1.61 (define @t951 () (tptp.c_RComplete_Onatfloor @t65)) % 1.42/1.61 (define @t952 () (tptp.c_RComplete_Onatfloor @t44)) % 1.42/1.61 (define @t953 () (tptp.c_Nat__Transfer_Otsub @t26 @t37)) % 1.42/1.61 (define @t954 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t37 @t26)) % 1.42/1.61 (define @t955 () (=> @t954 (= @t953 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t26 @t37)))) % 1.42/1.61 (define @t956 () (@list @t26 @t37)) % 1.42/1.61 (define @t957 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t26 @t500)) % 1.42/1.61 (define @t958 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t26 @t37)) % 1.42/1.61 (define @t959 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t26 @t500)) % 1.42/1.61 (define @t960 () (@list @t37 @t125 @t26)) % 1.42/1.61 (define @t961 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t25)) % 1.42/1.61 (define @t962 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t961 @t8)) % 1.42/1.61 (define @t963 () (@list @t26 @t25)) % 1.42/1.61 (define @t964 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t101)) % 1.42/1.61 (define @t965 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t195)) % 1.42/1.61 (define @t966 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t95)) % 1.42/1.61 (define @t967 () (tptp.hAPP (tptp.hAPP @t17 @t964) @t25)) % 1.42/1.61 (define @t968 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t98 @t101) @t25))) % 1.42/1.61 (define @t969 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t26)) % 1.42/1.61 (define @t970 () (tptp.c_Polynomial_Opos__poly @t34 @t700)) % 1.42/1.61 (define @t971 () (tptp.c_Polynomial_Opos__poly @t34 @t677)) % 1.42/1.61 (define @t972 () (@list @t700 @t677 @t34)) % 1.42/1.61 (define @t973 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t95 @t195)) % 1.42/1.61 (define @t974 () (tptp.c_Polynomial_Opos__poly @t34 (tptp.c_Groups_Ominus__class_Ominus @t468 @t64 @t65))) % 1.42/1.61 (define @t975 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t950)) % 1.42/1.61 (define @t976 () (@list @t44 @t26)) % 1.42/1.61 (define @t977 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t44)) % 1.42/1.61 (define @t978 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t153)) % 1.42/1.61 (define @t979 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t65)) % 1.42/1.61 (define @t980 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t26 @t977)) % 1.42/1.61 (define @t981 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t977 @t26)) % 1.42/1.61 (define @t982 () (@list @t26 @t44)) % 1.42/1.61 (define @t983 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t26 @t977)) % 1.42/1.61 (define @t984 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t677)) % 1.42/1.61 (define @t985 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t254 @t125))) % 1.42/1.61 (define @t986 () (tptp.class_Lattices_Oboolean__algebra @t34)) % 1.42/1.61 (define @t987 () (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t64)) % 1.42/1.61 (define @t988 () (@var "V_B_2" $$unsorted)) % 1.42/1.61 (define @t989 () (@var "V_A_2" $$unsorted)) % 1.42/1.61 (define @t990 () (tptp.hAPP @t989 @t65)) % 1.42/1.61 (define @t991 () (tptp.tc_fun @t115 @t34)) % 1.42/1.61 (define @t992 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t34)) % 1.42/1.61 (define @t993 () (tptp.c_Groups_Osgn__class_Osgn @t468 @t26)) % 1.42/1.61 (define @t994 () (tptp.c_Orderings_Oord__class_Oless @t468 @t469 @t26)) % 1.42/1.61 (define @t995 () (= @t26 @t469)) % 1.42/1.61 (define @t996 () (tptp.c_Groups_Osgn__class_Osgn @t34 @t153)) % 1.42/1.61 (define @t997 () (tptp.c_Groups_Osgn__class_Osgn @t34 @t26)) % 1.42/1.61 (define @t998 () (tptp.hAPP @t48 @t997)) % 1.42/1.61 (define @t999 () (tptp.c_Groups_Oabs__class_Oabs @t34 @t130)) % 1.42/1.61 (define @t1000 () (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t35) @t35)) % 1.42/1.61 (define @t1001 () (tptp.c_Groups_Osgn__class_Osgn @t34 @t44)) % 1.42/1.61 (define @t1002 () (tptp.class_Groups_Osgn__if @t34)) % 1.42/1.61 (define @t1003 () (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t26)) % 1.42/1.61 (define @t1004 () (not @t36)) % 1.42/1.61 (define @t1005 () (tptp.c_RealVector_Onorm__class_Onorm @t34 @t997)) % 1.42/1.61 (define @t1006 () (@var "V_h" $$unsorted)) % 1.42/1.61 (define @t1007 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t34 @t677 @t1006)) % 1.42/1.61 (define @t1008 () (tptp.c_Rings_Odvd__class_Odvd @t34 @t65 @t64)) % 1.42/1.61 (define @t1009 () (tptp.c_Rings_Odvd__class_Odvd @t34 @t26 @t37)) % 1.42/1.61 (define @t1010 () (@var "V_ta_2" $$unsorted)) % 1.42/1.61 (define @t1011 () (@var "V_D_2" $$unsorted)) % 1.42/1.61 (define @t1012 () (tptp.class_Rings_Odvd @t34)) % 1.42/1.61 (define @t1013 () (tptp.c_Rings_Odvd__class_Odvd @t34 @t44 @t39)) % 1.42/1.61 (define @t1014 () (tptp.c_Rings_Odvd__class_Odvd @t34 @t44 @t117)) % 1.42/1.61 (define @t1015 () (@var "V_h_2" $$unsorted)) % 1.42/1.61 (define @t1016 () (tptp.c_Rings_Odvd__class_Odvd @t468 @t677 @t700)) % 1.42/1.61 (define @t1017 () (tptp.c_Rings_Odvd__class_Odvd @t34 @t117 @t39)) % 1.42/1.61 (define @t1018 () (tptp.c_Rings_Odvd__class_Odvd @t34 @t195 @t261)) % 1.42/1.61 (define @t1019 () (@list @t261 @t195 @t34)) % 1.42/1.61 (define @t1020 () (@var "T_1" $$unsorted)) % 1.42/1.61 (define @t1021 () (tptp.tc_Polynomial_Opoly @t1020)) % 1.42/1.61 (define @t1022 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1020)) % 1.42/1.61 (define @t1023 () (@list @t1020)) % 1.42/1.61 (define @t1024 () (@var "T_2" $$unsorted)) % 1.42/1.61 (define @t1025 () (tptp.tc_fun @t1024 @t1020)) % 1.42/1.61 (define @t1026 () (@list @t1024 @t1020)) % 1.42/1.61 (define @t1027 () (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.42/1.61 (define @t1028 () (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.42/1.61 (define @t1029 () (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.42/1.61 (define @t1030 () (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.42/1.61 (define @t1031 () (tptp.class_Rings_Oidom @t1020)) % 1.42/1.61 (define @t1032 () (tptp.class_Rings_Olinordered__idom @t1020)) % 1.42/1.61 (define @t1033 () (tptp.class_Rings_Ocomm__semiring__0 @t1020)) % 1.42/1.61 (define @t1034 () (tptp.class_Rings_Ocomm__semiring__1 @t1020)) % 1.42/1.61 (define @t1035 () (tptp.class_Groups_Ocomm__monoid__add @t1020)) % 1.42/1.61 (define @t1036 () (tptp.class_Groups_Oab__group__add @t1020)) % 1.42/1.61 (define @t1037 () (tptp.class_Rings_Ocomm__ring__1 @t1020)) % 1.42/1.61 (define @t1038 () (tptp.class_Rings_Ocomm__ring @t1020)) % 1.42/1.61 (define @t1039 () (tptp.hAPP @t217 tptp.v_k____)) % 1.42/1.61 (define @t1040 () (tptp.hAPP (tptp.hAPP @t19 @t13) @t1039)) % 1.42/1.61 (define @t1041 () (tptp.hAPP @t19 @t1040)) % 1.42/1.61 (define @t1042 () (tptp.hAPP @t1041 @t215)) % 1.42/1.61 (define @t1043 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t215 tptp.v_m____)) % 1.42/1.61 (define @t1044 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1042 (tptp.hAPP @t1041 tptp.v_m____))) % 1.42/1.61 (define @t1045 () (not @t120)) % 1.42/1.61 (define @t1046 () (not @t121)) % 1.42/1.61 (define @t1047 () (not @t353)) % 1.42/1.61 (define @t1048 () (or @t1046 @t1045 @t350)) % 1.42/1.61 (define @t1049 () (not @t247)) % 1.42/1.61 (define @t1050 () (not @t176)) % 1.42/1.61 (define @t1051 () (not @t360)) % 1.42/1.61 (define @t1052 () (or @t1050 @t1049 @t239)) % 1.42/1.61 (define @t1053 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t1040)) % 1.42/1.61 (define @t1054 () (not @t1053)) % 1.42/1.61 (define @t1055 () (not @t1043)) % 1.42/1.61 (define @t1056 () (not @t1029)) % 1.42/1.61 (define @t1057 () (or @t1056 @t1055 @t1054 @t1044)) % 1.42/1.61 (define @t1058 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t13)) % 1.42/1.61 (define @t1059 () (not @t1030)) % 1.42/1.61 (define @t1060 () (or @t1059 @t1058)) % 1.42/1.61 (define @t1061 () (not @t54)) % 1.42/1.61 (define @t1062 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t1039)) % 1.42/1.61 (define @t1063 () (not @t1058)) % 1.42/1.61 (define @t1064 () (not @t1028)) % 1.42/1.61 (define @t1065 () (or @t1064 @t1063 @t1062)) % 1.42/1.61 (define @t1066 () (not @t1062)) % 1.42/1.61 (define @t1067 () (not @t1027)) % 1.42/1.61 (define @t1068 () (or @t1067 @t1063 @t1066 @t1053)) % 1.42/1.61 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.42/1.61 (assume @p2 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 tptp.v_t____)) % 1.42/1.61 (assume @p3 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_t____ @t8)) % 1.42/1.61 (assume @p4 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 tptp.v_m____)) % 1.42/1.61 (assume @p5 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p)))) % 1.42/1.61 (assume @p6 (not (= tptp.v_w____ @t9))) % 1.42/1.61 (assume @p7 (not (= tptp.v_a____ @t9))) % 1.42/1.61 (assume @p8 (forall @t15 (=> @t14 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 tptp.v_m____)))) % 1.42/1.61 (assume @p9 (not (= tptp.v_k____ @t16))) % 1.42/1.61 (assume @p10 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t18)) % 1.42/1.61 (assume @p11 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t21 @t13) (tptp.hAPP @t20 @t13))) % 1.42/1.61 (assume @p12 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t24) @t13)) % 1.42/1.61 (assume @p13 (forall @t29 (= (tptp.hAPP (tptp.hAPP @t28 (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t26)) @t25) (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t27)))) % 1.42/1.61 (assume @p14 (exists @t33 (and @t32 @t31))) % 1.42/1.61 (assume @p15 (forall (@list @t37 @t26 @t39 @t34) (=> @t43 (=> @t42 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t41 (tptp.hAPP @t40 @t38)) @t36))))) % 1.42/1.61 (assume @p16 (forall @t55 (=> @t54 (=> @t53 (=> @t52 (tptp.c_Orderings_Oord__class_Oless @t34 @t50 @t47)))))) % 1.42/1.61 (assume @p17 (forall (@list @t56) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t56) (exists (@list @t57) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t57) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t57 @t8) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t57 @t56)))))) % 1.42/1.61 (assume @p18 (forall @t63 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t61 @t58)))) % 1.42/1.61 (assume @p19 (forall @t73 (=> @t72 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t71 @t69) @t66)))) % 1.42/1.61 (assume @p20 (forall @t73 (=> @t72 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t74 @t65) (tptp.hAPP @t74 @t64)) @t66)))) % 1.42/1.61 (assume @p21 (forall @t83 (=> @t82 (=> @t81 (=> @t80 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t79 (tptp.hAPP (tptp.hAPP @t19 @t76) @t75))))))) % 1.42/1.61 (assume @p22 (forall @t85 (=> @t82 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t79 @t84)))) % 1.42/1.61 (assume @p23 (forall @t89 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t88) @t87)))) % 1.42/1.61 (assume @p24 (forall @t89 (=> @t43 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t88 @t7) @t86)))) % 1.42/1.61 (assume @p25 (forall @t55 (=> @t54 (=> @t90 (tptp.c_Orderings_Oord__class_Oless @t34 @t51 @t50))))) % 1.42/1.61 (assume @p26 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t91))) % 1.42/1.61 (assume @p27 (= @t94 @t9)) % 1.42/1.61 (assume @p28 (forall @t100 (= @t99 (or @t97 @t96)))) % 1.42/1.61 (assume @p29 (forall (@list @t25 @t101 @t103) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t103) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t104 @t101) (tptp.hAPP @t104 @t25)) @t102)))) % 1.42/1.61 (assume @p30 (forall @t110 (=> @t109 (= (tptp.hAPP @t46 @t108) (tptp.hAPP (tptp.hAPP @t45 @t105) @t25))))) % 1.42/1.61 (assume @p31 (forall @t112 (=> @t109 (= (tptp.hAPP @t46 @t111) @t44)))) % 1.42/1.61 (assume @p32 (forall (@list @t2 @t115 @t34) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t34 @t115 @t2) (forall @t114 (= @t5 (tptp.hAPP @t2 @t113)))))) % 1.42/1.61 (assume @p33 (forall @t112 (=> @t116 (= (tptp.hAPP @t46 @t16) @t51)))) % 1.42/1.61 (assume @p34 (forall @t123 (=> @t54 (=> (= @t47 @t122) (=> @t121 (=> @t120 (=> @t119 @t118))))))) % 1.42/1.61 (assume @p35 (forall @t55 (=> @t54 (=> @t90 (=> @t119 (tptp.c_Orderings_Oord__class_Oless @t34 @t51 @t47)))))) % 1.42/1.61 (assume @p36 (forall @t129 (=> @t128 (=> @t127 @t126)))) % 1.42/1.61 (assume @p37 (forall @t132 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t103 @t131) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t131 @t130) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t103 @t130))))) % 1.42/1.61 (assume @p38 (forall @t129 (or @t128 @t127))) % 1.42/1.61 (assume @p39 (forall @t133 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t124 @t124))) % 1.42/1.61 (assume @p40 (forall @t139 (= (tptp.hAPP (tptp.hAPP @t19 (tptp.hAPP @t138 @t135)) @t134) (tptp.hAPP @t138 (tptp.hAPP @t136 @t134))))) % 1.42/1.61 (assume @p41 (forall @t129 (= (tptp.hAPP @t140 @t124) (tptp.hAPP (tptp.hAPP @t19 @t124) @t125)))) % 1.42/1.61 (assume @p42 (forall @t144 (=> @t143 (= (= @t142 (tptp.c_RealVector_Oof__real @t34 @t64)) @t141)))) % 1.42/1.61 (assume @p43 (forall @t145 (=> @t82 (= (tptp.hAPP @t77 @t35) @t35)))) % 1.42/1.61 (assume @p44 (forall @t112 (=> @t82 @t146))) % 1.42/1.61 (assume @p45 (forall @t148 (=> @t82 (= (tptp.hAPP @t147 @t37) @t35)))) % 1.42/1.61 (assume @p46 (forall (@list @t117 @t34) (=> @t82 (= (tptp.hAPP @t147 @t117) @t35)))) % 1.42/1.61 (assume @p47 (forall @t55 (=> @t151 (=> @t150 (not (= @t47 @t35)))))) % 1.42/1.61 (assume @p48 (forall @t160 (=> (and @t116 @t159 @t158 @t157) (= (= @t156 @t35) (and @t154 @t152))))) % 1.42/1.61 (assume @p49 (forall @t164 (=> @t163 (= (tptp.hAPP (tptp.hAPP @t45 @t162) @t25) (tptp.hAPP @t161 @t122))))) % 1.42/1.61 (assume @p50 (forall @t55 (=> @t109 (= (tptp.hAPP @t161 @t44) @t50)))) % 1.42/1.61 (assume @p51 (forall @t165 (=> @t109 (= (tptp.hAPP (tptp.hAPP @t45 @t51) @t25) @t51)))) % 1.42/1.61 (assume @p52 (forall @t167 (= @t66 (or @t166 @t141)))) % 1.42/1.61 (assume @p53 (forall @t167 (= @t166 (and @t66 @t168)))) % 1.42/1.61 (assume @p54 (forall @t174 (=> @t173 (= (= (tptp.hAPP @t172 @t153) (tptp.hAPP @t172 @t169)) @t170)))) % 1.42/1.61 (assume @p55 (forall @t174 (=> @t173 (= (= (tptp.hAPP (tptp.hAPP @t19 @t153) @t171) (tptp.hAPP (tptp.hAPP @t19 @t169) @t171)) @t170)))) % 1.42/1.61 (assume @p56 (not (= @t7 @t8))) % 1.42/1.61 (assume @p57 (forall @t175 (= (tptp.hAPP @t20 @t125) @t125))) % 1.42/1.61 (assume @p58 (forall @t164 (=> @t54 (=> @t176 (=> @t121 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t47 @t122)))))) % 1.42/1.61 (assume @p59 @t179) % 1.42/1.61 (assume @p60 (forall @t55 (=> @t54 (=> @t53 (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t47))))) % 1.42/1.61 (assume @p61 (forall @t165 (=> (and @t116 @t183) (and (=> @t181 (= @t180 @t51)) (=> @t182 (= @t180 @t35)))))) % 1.42/1.61 (assume @p62 (forall @t188 (=> @t54 (=> @t187 (=> @t186 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t47 @t185)))))) % 1.42/1.61 (assume @p63 (forall @t55 (=> @t54 (=> @t186 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t51 @t47))))) % 1.42/1.61 (assume @p64 (forall @t188 (=> @t54 (=> @t189 (=> @t90 (tptp.c_Orderings_Oord__class_Oless @t34 @t47 @t185)))))) % 1.42/1.61 (assume @p65 (forall @t110 (=> @t54 (=> @t90 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t105 @t47) @t102))))) % 1.42/1.61 (assume @p66 (forall @t194 (=> @t54 (=> @t193 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t192 @t191) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t64)))))) % 1.42/1.61 (assume @p67 (forall (@list @t95 @t195 @t153 @t34) (=> @t54 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t51 @t153) (= (= (tptp.hAPP @t155 @t195) @t156) @t196))))) % 1.42/1.61 (assume @p68 (forall @t197 (=> @t43 (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t35) @t7)))) % 1.42/1.61 (assume @p69 (forall @t89 (=> @t43 (= (= @t88 @t7) @t86)))) % 1.42/1.61 (assume @p70 (forall @t85 (=> @t198 (= @t79 @t84)))) % 1.42/1.61 (assume @p71 (forall @t89 (=> @t143 (= (= @t142 @t35) @t199)))) % 1.42/1.61 (assume @p72 (forall @t197 (=> @t201 @t200))) % 1.42/1.61 (assume @p73 (forall @t197 (=> @t143 @t200))) % 1.42/1.61 (assume @p74 (forall (@list @t37 @t26 @t125) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t125) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t26 @t37) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t140 @t26) (tptp.hAPP @t140 @t37)))))) % 1.42/1.61 (assume @p75 (forall @t205 (=> @t204 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t37) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t203))))) % 1.42/1.61 (assume @p76 (forall @t73 (=> @t72 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t71 @t69) @t166)))) % 1.42/1.61 (assume @p77 @t207) % 1.42/1.61 (assume @p78 (forall @t145 (=> @t43 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t41 @t7))))) % 1.42/1.61 (assume @p79 (forall @t197 (=> @t62 (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t51) @t8)))) % 1.42/1.61 (assume @p80 (forall @t85 (=> @t143 (= (tptp.c_RealVector_Oof__real @t34 @t203) (tptp.hAPP (tptp.hAPP @t48 @t209) @t208))))) % 1.42/1.61 (assume @p81 (forall @t63 (=> @t198 (= @t61 @t58)))) % 1.42/1.61 (assume @p82 (forall @t197 (=> @t143 (= (tptp.c_RealVector_Oof__real @t34 @t8) @t51)))) % 1.42/1.61 (assume @p83 (forall @t63 (=> @t143 (= (tptp.c_RealVector_Oof__real @t34 @t27) (tptp.hAPP (tptp.hAPP @t45 @t209) @t25))))) % 1.42/1.61 (assume @p84 (forall @t123 (=> @t54 (=> @t211 (=> @t120 @t210))))) % 1.42/1.61 (assume @p85 (forall @t164 (=> @t54 (=> @t210 (=> @t121 (=> @t119 @t211)))))) % 1.42/1.61 (assume @p86 (forall @t188 (=> @t54 (=> @t187 (=> @t121 (=> @t212 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t185 @t47))))))) % 1.42/1.61 (assume @p87 (forall @t188 (=> @t54 (=> @t189 (=> @t53 (=> @t52 (tptp.c_Orderings_Oord__class_Oless @t34 @t185 @t47))))))) % 1.42/1.61 (assume @p88 (forall @t110 (=> @t54 (=> @t90 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t105 @t47) @t213))))) % 1.42/1.61 (assume @p89 (forall @t194 (=> @t54 (=> @t193 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t192 @t191) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t65 @t64)))))) % 1.42/1.61 (assume @p90 (forall @t55 (=> @t54 (=> @t90 (tptp.c_Orderings_Oord__class_Oless @t34 @t47 @t50))))) % 1.42/1.61 (assume @p91 (= @t222 (tptp.hAPP @t219 (tptp.hAPP @t21 (tptp.hAPP @t218 @t215))))) % 1.42/1.61 (assume @p92 (= @t224 @t223)) % 1.42/1.61 (assume @p93 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t219 @t226) (tptp.hAPP @t219 @t8))) % 1.42/1.61 (assume @p94 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t226 @t8)) % 1.42/1.61 (assume @p95 (= @t92 @t227)) % 1.42/1.61 (assume @p96 (forall @t85 (=> @t233 (=> @t232 (=> @t231 (=> @t230 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t229 @t26))))))) % 1.42/1.61 (assume @p97 (forall @t85 (=> @t233 (=> @t232 (=> @t231 (=> @t230 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t78 @t26))))))) % 1.42/1.61 (assume @p98 (forall @t241 (=> @t240 (=> @t239 @t235)))) % 1.42/1.61 (assume @p99 (forall @t246 (=> @t240 (=> @t245 @t235)))) % 1.42/1.61 (assume @p100 (forall @t241 (=> @t240 @t250))) % 1.42/1.61 (assume @p101 (forall @t241 (=> @t251 @t250))) % 1.42/1.61 (assume @p102 (not @t253)) % 1.42/1.61 (assume @p103 (forall @t256 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t252) @t255))) % 1.42/1.61 (assume @p104 (not @t258)) % 1.42/1.61 (assume @p105 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_t____ @t259)) % 1.42/1.61 (assume @p106 (forall @t264 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t261 @t262) (exists @t263 (= @t262 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t261 @t260)))))) % 1.42/1.61 (assume @p107 (forall @t144 (=> @t267 (= @t266 (= @t64 @t265))))) % 1.42/1.61 (assume @p108 (forall @t145 (=> @t201 @t269))) % 1.42/1.61 (assume @p109 (forall @t145 (=> @t143 @t269))) % 1.42/1.61 (assume @p110 (forall @t85 (=> @t201 @t271))) % 1.42/1.61 (assume @p111 (forall @t85 (=> @t143 @t271))) % 1.42/1.61 (assume @p112 (forall @t276 (=> @t275 (= @t274 @t273)))) % 1.42/1.61 (assume @p113 (forall @t276 (=> @t275 (= @t274 @t279)))) % 1.42/1.61 (assume @p114 (forall @t276 (=> @t275 (= @t279 @t273)))) % 1.42/1.61 (assume @p115 (forall @t276 (=> @t275 (= (tptp.hAPP @t278 @t272) @t162)))) % 1.42/1.61 (assume @p116 (forall @t285 (=> @t284 (= (= (tptp.hAPP @t283 @t153) (tptp.hAPP @t282 @t169)) (or @t170 @t281))))) % 1.42/1.61 (assume @p117 (forall @t289 (=> (tptp.class_Rings_Ocomm__semiring @t34) @t288))) % 1.42/1.61 (assume @p118 (forall (@list @t39 @t117 @t290 @t44 @t34) (=> (tptp.class_Rings_Osemiring @t34) (= (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t49 @t290) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t242 @t290) @t39)) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t287 @t290) @t39))))) % 1.42/1.61 (assume @p119 (forall @t85 (=> @t43 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t292 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t41 @t38))))) % 1.42/1.61 (assume @p120 (forall @t83 (=> @t43 (=> @t81 (=> @t80 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t292 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t76 @t75))))))) % 1.42/1.61 (assume @p121 (forall @t276 (=> @t82 (= @t273 @t274)))) % 1.42/1.61 (assume @p122 (forall (@list @t26 @t293 @t34) (=> @t82 (= (tptp.hAPP @t294 @t296) (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t295))))) % 1.42/1.61 (assume @p123 (forall @t276 (=> @t82 (= @t279 @t274)))) % 1.42/1.61 (assume @p124 (forall @t85 (=> @t82 (= (tptp.hAPP (tptp.hAPP @t48 @t296) @t37) (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t78))))) % 1.42/1.61 (assume @p125 (forall @t299 (=> @t82 (= (tptp.hAPP @t49 (tptp.c_Groups_Oplus__class_Oplus @t34 @t117 @t297)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t162 @t298))))) % 1.42/1.61 (assume @p126 (forall @t301 (=> @t82 (= (tptp.hAPP @t294 @t291) (tptp.c_Groups_Oplus__class_Oplus @t34 @t295 @t300))))) % 1.42/1.61 (assume @p127 (forall @t304 (=> @t82 (= (tptp.hAPP (tptp.hAPP @t48 (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t302)) @t117) (tptp.c_Groups_Oplus__class_Oplus @t34 @t162 @t303))))) % 1.42/1.61 (assume @p128 (forall @t308 (=> @t82 (= (tptp.hAPP (tptp.hAPP @t48 @t291) @t305) (tptp.c_Groups_Oplus__class_Oplus @t34 @t307 @t306))))) % 1.42/1.61 (assume @p129 (forall @t145 (=> @t43 (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t296) @t41)))) % 1.42/1.61 (assume @p130 (forall @t311 (=> @t233 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t153 @t310) @t309)))) % 1.42/1.61 (assume @p131 (forall @t289 (=> @t54 (=> @t53 @t315)))) % 1.42/1.61 (assume @p132 (forall @t89 (=> @t151 (= (= @t319 @t51) (or @t317 (= @t65 @t316)))))) % 1.42/1.61 (assume @p133 (forall @t112 (=> @t54 (tptp.c_Orderings_Oord__class_Oless @t34 @t44 @t320)))) % 1.42/1.61 (assume @p134 (forall @t197 (=> @t54 (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t321)))) % 1.42/1.61 (assume @p135 (forall @t110 (=> @t109 (= (tptp.hAPP @t46 @t322) (tptp.hAPP (tptp.hAPP @t48 @t105) @t47))))) % 1.42/1.61 (assume @p136 (forall @t329 (=> (tptp.class_Rings_Olinordered__semiring__1 @t34) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t26 @t44) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t37 @t44) (=> @t328 (=> @t327 (=> @t326 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t325 @t44))))))))) % 1.42/1.61 (assume @p137 (forall @t55 (=> @t331 (= @t330 (tptp.hAPP (tptp.hAPP @t48 (tptp.hAPP (tptp.hAPP @t45 @t316) @t25)) @t47))))) % 1.42/1.61 (assume @p138 (forall @t85 (=> @t233 @t337))) % 1.42/1.61 (assume @p139 (forall @t329 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t34) (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t26 @t44) (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t37 @t44) (=> @t328 (=> @t327 (=> @t326 (tptp.c_Orderings_Oord__class_Oless @t34 @t325 @t44))))))))) % 1.42/1.61 (assume @p140 (forall @t112 (=> @t159 @t338))) % 1.42/1.61 (assume @p141 (forall @t112 (=> @t159 @t146))) % 1.42/1.61 (assume @p142 (forall @t285 (=> (tptp.class_Rings_Oring__no__zero__divisors @t34) (= (= @t339 @t35) (or @t154 (= @t169 @t35)))))) % 1.42/1.61 (assume @p143 (forall @t276 (=> @t158 (=> @t150 (=> @t342 (not @t340)))))) % 1.42/1.61 (assume @p144 (forall @t276 (=> @t158 (=> @t340 (or @t149 @t341))))) % 1.42/1.61 (assume @p145 (forall @t197 (=> @t157 (not (= @t51 @t35))))) % 1.42/1.61 (assume @p146 (forall @t197 (=> @t157 (not (= @t35 @t51))))) % 1.42/1.61 (assume @p147 (forall @t112 (=> @t344 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t343)))) % 1.42/1.61 (assume @p148 (forall @t285 (=> @t349 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t339) (or (and @t348 @t347) (and @t346 @t345)))))) % 1.42/1.61 (assume @p149 (forall @t285 (=> @t349 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t339 @t35) (or (and @t348 @t345) (and @t346 @t347)))))) % 1.42/1.61 (assume @p150 @t354) % 1.42/1.61 (assume @p151 (forall @t276 (=> @t353 (=> @t121 (=> @t356 @t355))))) % 1.42/1.61 (assume @p152 (forall @t276 (=> @t353 (=> @t121 (=> @t356 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t357 @t35)))))) % 1.42/1.61 (assume @p153 (forall @t276 (=> @t353 (=> @t358 (=> @t120 @t355))))) % 1.42/1.61 (assume @p154 (forall @t276 (=> @t359 (=> @t358 (=> @t356 @t350))))) % 1.42/1.61 (assume @p155 (forall @t289 (=> @t360 (=> @t176 (=> @t247 @t245))))) % 1.42/1.61 (assume @p156 @t363) % 1.42/1.61 (assume @p157 (forall @t289 (=> (tptp.class_Rings_Oordered__comm__semiring @t34) @t362))) % 1.42/1.61 (assume @p158 (forall @t366 (=> @t359 (=> @t365 (=> @t364 @t245))))) % 1.42/1.61 (assume @p159 (forall @t366 (=> @t359 (=> @t365 (=> @t364 @t239))))) % 1.42/1.61 (assume @p160 (forall @t371 (=> @t360 (=> @t176 (=> @t370 (=> @t121 @t369)))))) % 1.42/1.61 (assume @p161 (forall @t371 (=> @t360 (=> @t176 (=> @t370 (=> @t120 @t369)))))) % 1.42/1.61 (assume @p162 (forall @t276 (=> @t359 (=> (or (and @t121 @t120) (and @t358 @t356)) @t350)))) % 1.42/1.61 (assume @p163 (forall @t276 (=> @t353 (=> (or (and @t121 @t356) (and @t358 @t120)) @t355)))) % 1.42/1.61 (assume @p164 (forall @t112 (=> @t344 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t343 @t35))))) % 1.42/1.61 (assume @p165 (forall @t379 (=> @t349 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t378 @t377) @t376)))) % 1.42/1.61 (assume @p166 (forall @t384 (=> @t349 (= @t383 @t376)))) % 1.42/1.61 (assume @p167 (forall @t384 (=> @t349 (=> @t375 (= @t383 @t374))))) % 1.42/1.61 (assume @p168 (forall @t276 (=> @t240 (=> @t53 (=> @t386 @t385))))) % 1.42/1.61 (assume @p169 (forall @t276 (=> @t240 (=> @t53 (=> @t388 @t387))))) % 1.42/1.61 (assume @p170 (forall @t276 (=> @t240 (=> @t53 (=> @t388 (tptp.c_Orderings_Oord__class_Oless @t34 @t357 @t35)))))) % 1.42/1.61 (assume @p171 (forall @t276 (=> @t240 (=> @t385 @t389)))) % 1.42/1.61 (assume @p172 (forall @t390 (=> @t240 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t357) @t389)))) % 1.42/1.61 (assume @p173 (forall @t384 (=> @t349 (=> @t373 (= @t383 @t372))))) % 1.42/1.61 (assume @p174 (forall @t276 (=> @t240 (=> @t391 (=> @t386 @t387))))) % 1.42/1.61 (assume @p175 (forall @t276 (=> @t349 (=> @t391 (=> @t388 @t385))))) % 1.42/1.61 (assume @p176 (forall @t289 (=> @t240 (=> @t210 (=> @t234 @t392))))) % 1.42/1.61 (assume @p177 (forall @t289 (=> @t240 @t393))) % 1.42/1.61 (assume @p178 (forall @t289 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t34) @t393))) % 1.42/1.61 (assume @p179 (forall @t366 (=> @t349 (=> @t395 (=> @t394 @t392))))) % 1.42/1.61 (assume @p180 (forall @t366 (=> @t349 (=> @t395 (=> @t394 @t249))))) % 1.42/1.61 (assume @p181 (forall @t197 (=> @t54 (not (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t51 @t35))))) % 1.42/1.61 (assume @p182 (forall @t197 (=> @t54 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t51)))) % 1.42/1.61 (assume @p183 (forall @t197 (=> @t54 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t51 @t35))))) % 1.42/1.61 (assume @p184 (forall @t197 (=> @t54 (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t51)))) % 1.42/1.61 (assume @p185 (forall (@list @t25 @t101 @t34) (=> @t54 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t51 @t101) (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t51 @t25) (tptp.c_Orderings_Oord__class_Oless @t34 @t51 (tptp.hAPP @t396 @t25))))))) % 1.42/1.61 (assume @p186 (forall @t384 (=> @t349 (=> @t375 (= @t398 @t397))))) % 1.42/1.61 (assume @p187 (forall @t384 (=> @t349 (=> @t373 (= @t398 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t169 @t153)))))) % 1.42/1.61 (assume @p188 (forall @t371 (=> @t240 (=> @t210 (=> @t401 (=> @t386 @t400)))))) % 1.42/1.61 (assume @p189 (forall @t371 (=> @t240 (=> @t210 (=> @t401 (=> @t121 @t400)))))) % 1.42/1.61 (assume @p190 (forall @t371 (=> @t240 (=> @t210 (=> @t370 (=> @t121 (=> @t234 @t399))))))) % 1.42/1.61 (assume @p191 (forall @t371 (=> @t240 (=> @t176 (=> @t401 (=> @t53 @t400)))))) % 1.42/1.61 (assume @p192 (forall @t246 (=> @t251 @t402))) % 1.42/1.61 (assume @p193 (forall @t246 (=> @t240 @t402))) % 1.42/1.61 (assume @p194 (= @t407 @t406)) % 1.42/1.61 (assume @p195 (not (forall @t256 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t93 (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP (tptp.hAPP @t28 @t254) tptp.v_k____)) tptp.v_a____)) @t9))))) % 1.42/1.61 (assume @p196 (= @t224 @t405)) % 1.42/1.61 (assume @p197 (= @t223 @t405)) % 1.42/1.61 (assume @p198 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t216 @t257)) % 1.42/1.61 (assume @p199 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t259)) % 1.42/1.61 (assume @p200 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t94 @t93) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t9 @t93))) % 1.42/1.61 (assume @p201 (forall @t408 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t16 @t25))) % 1.42/1.61 (assume @p202 (forall @t408 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t16)))) % 1.42/1.61 (assume @p203 (forall @t415 (=> @t414 (= @t413 @t409)))) % 1.42/1.61 (assume @p204 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t406 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t404) @t222))) % 1.42/1.61 (assume @p205 (forall (@list @t75 @t76) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t76 @t75) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t76 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t75))))) % 1.42/1.61 (assume @p206 (forall @t205 (= @t417 @t416))) % 1.42/1.61 (assume @p207 (forall @t276 (=> @t421 (=> @t420 @t118)))) % 1.42/1.61 (assume @p208 (forall @t285 (=> @t421 (= (= @t422 (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t169)) @t170)))) % 1.42/1.61 (assume @p209 (forall @t112 (=> @t421 @t423))) % 1.42/1.61 (assume @p210 (forall @t112 (=> (and @t198 @t421) @t425))) % 1.42/1.61 (assume @p211 (forall @t145 (=> (and @t428 @t421) @t427))) % 1.42/1.61 (assume @p212 (forall @t429 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t65 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t153)) @t7) (= @t65 @t153)))) % 1.42/1.61 (assume @p213 (forall @t167 (= (= @t431 @t7) (= @t64 @t430)))) % 1.42/1.61 (assume @p214 (forall @t85 (=> @t201 @t432))) % 1.42/1.61 (assume @p215 (forall @t85 (=> @t143 @t432))) % 1.42/1.61 (assume @p216 (forall @t276 (=> @t436 (=> @t150 (=> @t342 (= @t435 (tptp.hAPP (tptp.hAPP @t48 (tptp.hAPP @t434 @t433)) @t418))))))) % 1.42/1.61 (assume @p217 (forall @t112 (=> @t198 (=> @t150 @t425)))) % 1.42/1.61 (assume @p218 (forall @t145 (=> @t428 (=> @t438 @t427)))) % 1.42/1.61 (assume @p219 (forall @t276 (=> @t43 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t442 @t440)))) % 1.42/1.61 (assume @p220 (forall @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t431 @t7) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t64 @t430)))) % 1.42/1.61 (assume @p221 (forall @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t431) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t430 @t64)))) % 1.42/1.61 (assume @p222 (forall @t276 (=> @t43 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t440 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t424 @t441))))) % 1.42/1.61 (assume @p223 (forall @t167 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t431 @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t64 @t430)))) % 1.42/1.61 (assume @p224 (forall @t167 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t431) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t430 @t64)))) % 1.42/1.61 (assume @p225 (forall @t276 (=> @t436 (=> @t420 (=> @t150 (=> @t342 @t118)))))) % 1.42/1.61 (assume @p226 (forall @t112 (=> @t436 (=> @t443 @t149)))) % 1.42/1.61 (assume @p227 (forall @t112 (=> @t436 (=> @t150 @t423)))) % 1.42/1.61 (assume @p228 (forall @t112 (=> @t436 (=> @t150 (not @t443))))) % 1.42/1.61 (assume @p229 (forall @t311 (=> @t421 (= (= @t422 @t35) @t154)))) % 1.42/1.61 (assume @p230 (forall @t197 (=> @t421 @t444))) % 1.42/1.61 (assume @p231 (forall @t197 (=> @t436 (= (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t51) @t51)))) % 1.42/1.61 (assume @p232 (forall @t112 (=> @t421 @t445))) % 1.42/1.61 (assume @p233 (forall @t55 (=> @t421 @t446))) % 1.42/1.61 (assume @p234 (forall @t308 (=> @t82 (= (tptp.hAPP (tptp.hAPP @t48 @t447) @t305) (tptp.c_Groups_Ominus__class_Ominus @t34 @t307 @t306))))) % 1.42/1.61 (assume @p235 (forall @t304 (=> @t82 (= (tptp.hAPP (tptp.hAPP @t48 (tptp.c_Groups_Ominus__class_Ominus @t34 @t44 @t302)) @t117) (tptp.c_Groups_Ominus__class_Ominus @t34 @t162 @t303))))) % 1.42/1.61 (assume @p236 (forall @t301 (=> @t82 (= (tptp.hAPP @t294 @t447) (tptp.c_Groups_Ominus__class_Ominus @t34 @t295 @t300))))) % 1.42/1.61 (assume @p237 (forall @t299 (=> @t82 (= (tptp.hAPP @t49 (tptp.c_Groups_Ominus__class_Ominus @t34 @t117 @t297)) (tptp.c_Groups_Ominus__class_Ominus @t34 @t162 @t298))))) % 1.42/1.61 (assume @p238 (= (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t7) @t7)) % 1.42/1.61 (assume @p239 (forall @t276 (=> @t43 (= @t440 (tptp.c_RealVector_Onorm__class_Onorm @t34 @t433))))) % 1.42/1.61 (assume @p240 (forall @t449 (=> @t448 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t125 @t26) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t125 @t37))))) % 1.42/1.61 (assume @p241 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t19 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t137 @t135)) @t124) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t138 @t124) (tptp.hAPP @t136 @t124))))) % 1.42/1.61 (assume @p242 (forall @t276 (=> @t436 (=> @t150 (=> @t342 (= @t451 (tptp.hAPP (tptp.hAPP @t48 @t418) @t419))))))) % 1.42/1.61 (assume @p243 (forall @t276 (=> @t436 (=> (= @t162 @t51) (= @t419 @t117))))) % 1.42/1.61 (assume @p244 (forall @t112 (=> @t436 (=> @t150 @t445)))) % 1.42/1.61 (assume @p245 (forall @t55 (=> @t436 (=> @t150 @t446)))) % 1.42/1.61 (assume @p246 (forall @t456 (=> @t275 (= @t455 (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t77 @t454) @t453))))) % 1.42/1.61 (assume @p247 (forall @t456 (=> @t82 (= @t455 (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t452 @t454) @t453) (tptp.hAPP @t49 @t454)))))) % 1.42/1.61 (assume @p248 (forall @t464 (=> @t275 (= @t463 (= @t460 @t457))))) % 1.42/1.61 (assume @p249 (forall @t464 (=> @t275 (= @t463 (= @t171 @t465))))) % 1.42/1.61 (assume @p250 (forall @t167 (= @t66 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t65 @t64) @t7)))) % 1.42/1.61 (assume @p251 (forall (@list @t26 @t324) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.hAPP @t466 @t324)) (tptp.hAPP @t202 @t26)))) % 1.42/1.61 (assume @p252 (forall @t167 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t467 (tptp.hAPP @t68 @t64)) @t7) (and @t199 (= @t64 @t7))))) % 1.42/1.61 (assume @p253 (forall @t473 (=> @t472 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t34 @t470) @t16) @t471)))) % 1.42/1.61 (assume @p254 (forall @t276 (=> @t436 (=> @t150 (=> @t342 (= @t474 (tptp.hAPP (tptp.hAPP @t48 (tptp.hAPP @t434 @t286)) @t418))))))) % 1.42/1.61 (assume @p255 (forall @t112 (=> @t436 @t475))) % 1.42/1.61 (assume @p256 (forall @t112 (=> @t436 (=> @t150 (= (tptp.hAPP @t49 @t419) @t51))))) % 1.42/1.61 (assume @p257 (forall @t464 (=> @t359 (= @t476 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t460 @t457))))) % 1.42/1.61 (assume @p258 (forall @t464 (=> @t359 (= @t476 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t171 @t465))))) % 1.42/1.61 (assume @p259 (forall @t464 (=> @t359 (= @t477 (tptp.c_Orderings_Oord__class_Oless @t34 @t460 @t457))))) % 1.42/1.61 (assume @p260 (forall @t464 (=> @t359 (= @t477 (tptp.c_Orderings_Oord__class_Oless @t34 @t171 @t465))))) % 1.42/1.61 (assume @p261 (forall @t145 (=> @t331 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t478 @t51) (tptp.hAPP (tptp.hAPP @t48 (tptp.c_Groups_Oplus__class_Oplus @t34 @t26 @t51)) (tptp.c_Groups_Ominus__class_Ominus @t34 @t26 @t51)))))) % 1.42/1.61 (assume @p262 (forall @t371 (=> @t43 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t34 @t482) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t34 @t480) (tptp.c_RealVector_Onorm__class_Onorm @t34 @t479)))))) % 1.42/1.61 (assume @p263 (forall @t484 (=> @t438 (= (tptp.hAPP @t483 @t26) @t8)))) % 1.42/1.61 (assume @p264 (forall @t276 (=> @t43 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t442 (tptp.c_RealVector_Onorm__class_Onorm @t34 @t286))))) % 1.42/1.61 (assume @p265 (forall @t486 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t124) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t124 @t125)) @t485)))) % 1.42/1.61 (assume @p266 (forall (@list @t487 @t95 @t195) (=> (=> @t490 @t488) (=> (=> @t196 @t488) (=> (=> @t489 @t488) @t488))))) % 1.42/1.61 (assume @p267 (forall (@list @t491 @t75) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t75 @t491) (not (= @t75 @t491))))) % 1.42/1.61 (assume @p268 (forall @t494 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t101) @t493))) % 1.42/1.61 (assume @p269 (forall @t408 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t25)))) % 1.42/1.61 (assume @p270 (forall @t205 (=> @t336 (=> (not @t495) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t26))))) % 1.42/1.61 (assume @p271 (forall @t497 (= @t496 (or @t490 @t489)))) % 1.42/1.61 (assume @p272 (forall @t499 (= @t322 @t498))) % 1.42/1.61 (assume @p273 (forall @t449 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t26 @t500) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t26 @t125))))) % 1.42/1.61 (assume @p274 (forall @t502 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t322 @t130) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t501)))) % 1.42/1.61 (assume @p275 (forall @t415 (= (= @t504 @t503) @t196))) % 1.42/1.61 (assume @p276 (forall @t505 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t195 @t261) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t95 @t261)) @t196))) % 1.42/1.61 (assume @p277 (forall @t408 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t25))) % 1.42/1.61 (assume @p278 (forall @t499 (or @t213 @t506))) % 1.42/1.61 (assume @p279 (forall @t499 (=> @t492 @t213))) % 1.42/1.61 (assume @p280 (forall @t132 (=> @t507 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t131 @t130) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t103 @t130))))) % 1.42/1.61 (assume @p281 (forall @t499 (=> @t213 (=> @t506 @t492)))) % 1.42/1.61 (assume @p282 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t106 @t108) @t130) (tptp.hAPP @t107 @t509)))) % 1.42/1.61 (assume @p283 (forall @t499 (= @t108 (tptp.hAPP @t508 @t101)))) % 1.42/1.61 (assume @p284 (forall @t511 (= @t152 @t510))) % 1.42/1.61 (assume @p285 (forall @t499 (=> @t102 @t182))) % 1.42/1.61 (assume @p286 (forall @t408 (=> @t182 @t119))) % 1.42/1.61 (assume @p287 (forall @t408 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t16 @t25) @t25))) % 1.42/1.61 (assume @p288 (forall @t512 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t16) @t101))) % 1.42/1.61 (assume @p289 (forall @t497 (= (= @t514 @t16) (and @t513 @t96)))) % 1.42/1.61 (assume @p290 (forall @t499 (=> (= @t322 @t101) @t181))) % 1.42/1.61 (assume @p291 (forall @t511 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t95 @t16) @t96))) % 1.42/1.61 (assume @p292 (forall @t408 (= (tptp.hAPP (tptp.hAPP @t106 @t16) @t25) @t16))) % 1.42/1.61 (assume @p293 (forall @t512 (= (tptp.hAPP @t107 @t16) @t16))) % 1.42/1.61 (assume @p294 (forall @t497 (= (= @t516 @t16) (or @t513 @t96)))) % 1.42/1.61 (assume @p295 (forall @t415 (= @t518 (or @t517 @t196)))) % 1.42/1.61 (assume @p296 (forall @t415 (= @t518 @t519))) % 1.42/1.61 (assume @p297 (forall @t505 (= (= @t521 @t520) @t519))) % 1.42/1.61 (assume @p298 (forall @t132 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t522 @t130) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t103 @t130)))) % 1.42/1.61 (assume @p299 (forall (@list @t25 @t101 @t524 @t130) (=> @t525 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t524) @t523) @t102)))) % 1.42/1.61 (assume @p300 (forall @t529 (=> @t528 (=> @t525 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t527 @t526))))) % 1.42/1.61 (assume @p301 (forall @t132 (=> @t528 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t527 @t530)))) % 1.42/1.61 (assume @p302 (forall @t532 (=> @t528 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t103 @t531)))) % 1.42/1.61 (assume @p303 (forall @t532 (=> @t528 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t103 @t533)))) % 1.42/1.61 (assume @p304 (forall @t415 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t504 @t503) @t490))) % 1.42/1.61 (assume @p305 (forall (@list @t103 @t131) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t534 @t103)))) % 1.42/1.61 (assume @p306 (forall (@list @t131 @t103) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t522 @t103)))) % 1.42/1.61 (assume @p307 (forall @t499 (=> (or @t102 @t492) @t213))) % 1.42/1.61 (assume @p308 (forall @t499 (=> @t213 (=> @t493 @t102)))) % 1.42/1.61 (assume @p309 (forall @t499 (=> @t102 @t213))) % 1.42/1.61 (assume @p310 (forall @t497 (= @t409 (or @t490 @t196)))) % 1.42/1.61 (assume @p311 (forall @t497 (= @t490 (and @t409 @t496)))) % 1.42/1.61 (assume @p312 (forall @t494 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t322))) % 1.42/1.61 (assume @p313 (forall @t494 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t498))) % 1.42/1.61 (assume @p314 (forall @t497 (= @t409 (exists (@list @t535) (= @t95 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t195 @t535)))))) % 1.42/1.61 (assume @p315 (forall @t415 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t504 @t503) @t409))) % 1.42/1.61 (assume @p316 (forall @t532 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t103 @t533)))) % 1.42/1.61 (assume @p317 (forall @t532 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t103 @t531)))) % 1.42/1.61 (assume @p318 (forall @t132 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t527 @t530)))) % 1.42/1.61 (assume @p319 (forall @t529 (=> @t507 (=> @t536 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t527 @t526))))) % 1.42/1.61 (assume @p320 (forall @t540 (=> @t539 @t537))) % 1.42/1.61 (assume @p321 (forall @t540 (=> @t539 @t213))) % 1.42/1.61 (assume @p322 (forall @t540 (=> @t539 (not (=> @t213 (not @t537)))))) % 1.42/1.61 (assume @p323 (forall (@list @t130 @t131 @t324 @t103) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t544 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t542 @t130)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 @t522) @t324) @t130)))) % 1.42/1.61 (assume @p324 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t106 @t322) @t130) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t545 @t509)))) % 1.42/1.61 (assume @p325 (forall @t549 (= (tptp.hAPP @t546 @t322) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t548 @t547)))) % 1.42/1.61 (assume @p326 (forall @t529 (=> @t507 (=> @t536 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t550 (tptp.hAPP @t541 @t524)))))) % 1.42/1.61 (assume @p327 (forall @t132 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t552 @t551)))) % 1.42/1.61 (assume @p328 (forall @t132 (=> @t507 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t550 @t553)))) % 1.42/1.61 (assume @p329 (forall @t512 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 (tptp.hAPP @t107 @t554)))) % 1.42/1.61 (assume @p330 (forall @t512 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t554))) % 1.42/1.61 (assume @p331 (forall @t497 (= (= @t516 @t111) @t555))) % 1.42/1.61 (assume @p332 (forall @t408 (= (tptp.hAPP @t508 @t111) @t25))) % 1.42/1.61 (assume @p333 (forall @t497 (= (= @t111 @t516) @t555))) % 1.42/1.61 (assume @p334 (forall @t408 (= (tptp.hAPP (tptp.hAPP @t106 @t111) @t25) @t25))) % 1.42/1.61 (assume @p335 (forall @t497 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t514) (or @t556 @t510)))) % 1.42/1.61 (assume @p336 (forall @t497 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t516) (and @t556 @t510)))) % 1.42/1.61 (assume @p337 (forall @t415 (= @t558 @t557))) % 1.42/1.61 (assume @p338 (forall @t505 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t521 @t520) @t557))) % 1.42/1.61 (assume @p339 (forall @t415 (=> @t414 (= @t518 @t196)))) % 1.42/1.61 (assume @p340 (forall @t415 (=> @t414 (= @t558 @t490)))) % 1.42/1.61 (assume @p341 (forall @t132 (=> @t528 (=> @t559 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t550 @t553))))) % 1.42/1.61 (assume @p342 (forall @t132 (=> @t528 (=> @t559 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t552 @t551))))) % 1.42/1.61 (assume @p343 (forall @t499 (=> (= @t101 @t108) (or (= @t25 @t111) @t560)))) % 1.42/1.61 (assume @p344 (forall @t415 (= @t413 @t561))) % 1.42/1.61 (assume @p345 (forall @t505 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t521 @t520) @t561))) % 1.42/1.61 (assume @p346 (not (forall (@list @t562) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t562) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t562 @t8) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t562 @t259))))))) % 1.42/1.61 (assume @p347 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t407 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t403) @t222))) % 1.42/1.61 (assume @p348 (forall @t6 (= (tptp.hAPP @t564 @t3) @t563))) % 1.42/1.61 (assume @p349 (forall (@list @t470) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t470) @t257) (=> (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t565)) (exists @t15 (= (tptp.hAPP @t565 @t10) @t9)))))) % 1.42/1.61 (assume @p350 (exists @t570 (and @t569 @t567))) % 1.42/1.61 (assume @p351 (=> @t253 (exists @t15 (= (tptp.hAPP @t91 @t10) @t9)))) % 1.42/1.61 (assume @p352 (= @t571 @t257)) % 1.42/1.61 (assume @p353 (forall (@list @t26 @t76 @t34) (=> @t198 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t76 @t41) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t76) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t34 (tptp.c_Rings_Oinverse__class_Oinverse @t34 @t26)) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t76))))))) % 1.42/1.61 (assume @p354 (not (= @t572 @t9))) % 1.42/1.61 (assume @p355 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t564))) % 1.42/1.61 (assume @p356 (forall (@list @t491 @t26) (=> @t573 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t26 @t491) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t491 @t8) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t8 @t491)) @t26) @t8)))))) % 1.42/1.61 (assume @p357 (forall @t256 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t574 @t255))) % 1.42/1.61 (assume @p358 (= @t252 @t572)) % 1.42/1.61 (assume @p359 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_s____) tptp.v_k____) @t111) @t576)) % 1.42/1.61 (assume @p360 (forall @t578 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t76) @t577))) % 1.42/1.61 (assume @p361 (forall @t276 (=> @t233 @t583))) % 1.42/1.61 (assume @p362 (forall @t112 (=> @t233 (= (tptp.hAPP @t581 @t580) @t343)))) % 1.42/1.61 (assume @p363 (forall @t197 (=> @t233 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t51) @t51)))) % 1.42/1.61 (assume @p364 (forall @t55 (=> @t233 (= @t585 @t584)))) % 1.42/1.61 (assume @p365 (forall @t112 (=> @t43 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t424) @t424)))) % 1.42/1.62 (assume @p366 (forall @t499 (=> @t587 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t101) @t16) @t492)))) % 1.42/1.62 (assume @p367 (forall @t512 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t101) @t16))) % 1.42/1.62 (assume @p368 (forall @t512 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t16) @t101))) % 1.42/1.62 (assume @p369 (forall @t408 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t16 @t25) @t16))) % 1.42/1.62 (assume @p370 (forall (@list @t25 @t130 @t131) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t131 @t130) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t131 @t25) @t130)))) % 1.42/1.62 (assume @p371 (forall @t590 (=> @t102 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t524) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t589 @t588))))) % 1.42/1.62 (assume @p372 (forall @t540 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t538 @t501) @t586))) % 1.42/1.62 (assume @p373 (forall @t549 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t130 @t101) @t523) @t586))) % 1.42/1.62 (assume @p374 (forall @t132 (= @t592 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t103 @t530)))) % 1.42/1.62 (assume @p375 (forall @t494 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t498 @t25) @t101))) % 1.42/1.62 (assume @p376 (forall @t499 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t322 @t25) @t101))) % 1.42/1.62 (assume @p377 (forall @t415 (=> @t596 (=> @t595 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t594 @t593) @t409))))) % 1.42/1.62 (assume @p378 (forall @t549 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t130 @t101) (=> @t537 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t130) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t130)) @t586))))) % 1.42/1.62 (assume @p379 (forall @t415 (=> @t596 (=> @t595 (= (= @t594 @t593) @t196))))) % 1.42/1.62 (assume @p380 (forall (@list @t25 @t103) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t103 @t25) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t103)) @t103)))) % 1.42/1.62 (assume @p381 (forall @t590 (=> @t213 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t524) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t524))))) % 1.42/1.62 (assume @p382 (forall @t590 (=> @t213 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t589 @t588)))) % 1.42/1.62 (assume @p383 (forall @t499 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t586 @t101))) % 1.42/1.62 (assume @p384 (forall @t549 (= (tptp.hAPP @t546 @t586) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t548 @t547)))) % 1.42/1.62 (assume @p385 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t106 @t586) @t130) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t545 @t509)))) % 1.42/1.62 (assume @p386 (forall @t597 (=> @t233 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t580 @t39) (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t579 @t367) (tptp.c_Orderings_Oord__class_Oless @t34 @t582 (tptp.hAPP @t236 @t367))))))) % 1.42/1.62 (assume @p387 (forall @t285 (=> @t233 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t599 @t169) (and @t374 @t598))))) % 1.42/1.62 (assume @p388 (forall @t55 (=> @t233 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t330) @t585)))) % 1.42/1.62 (assume @p389 (forall (@list @t600 @t65) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t65) @t600) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t600) @t65) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t65 @t600))))) % 1.42/1.62 (assume @p390 (forall @t602 (=> @t62 (= (tptp.c_RealVector_Onorm__class_Onorm @t34 @t601) @t577)))) % 1.42/1.62 (assume @p391 (forall @t494 (=> @t119 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t101) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t586 @t101))))) % 1.42/1.62 (assume @p392 (forall @t603 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t95 @t195)) @t490))) % 1.42/1.62 (assume @p393 (forall @t494 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t498) @t16))) % 1.42/1.62 (assume @p394 (forall @t497 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t195 @t95) @t16) @t409))) % 1.42/1.62 (assume @p395 (forall @t499 (=> @t213 @t587))) % 1.42/1.62 (assume @p396 (forall @t608 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t605 @t607) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t606 @t604)))) % 1.42/1.62 (assume @p397 (forall @t499 (=> (not @t102) @t609))) % 1.42/1.62 (assume @p398 (forall @t205 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t416) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t37 @t268))))) % 1.42/1.62 (assume @p399 (forall (@list @t39 @t117 @t44) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t117) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t44) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t44 @t39) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t117 @t39)))))) % 1.42/1.62 (assume @p400 (forall @t415 (=> @t596 (=> @t595 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t594 @t593) @t490))))) % 1.42/1.62 (assume @p401 (forall @t614 (=> @t613 (= @t612 @t611)))) % 1.42/1.62 (assume @p402 (forall @t614 (=> @t613 (= @t611 @t612)))) % 1.42/1.62 (assume @p403 (forall @t614 (=> @t613 (= @t616 @t615)))) % 1.42/1.62 (assume @p404 (forall @t608 (=> @t618 (= (= @t617 @t261) (= @t604 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t261 @t605)))))) % 1.42/1.62 (assume @p405 (forall @t494 (=> @t506 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t586 @t25) @t101)))) % 1.42/1.62 (assume @p406 (forall (@list @t605 @t604 @t261) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t261 @t604) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t605 @t607) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t606 @t604))))) % 1.42/1.62 (assume @p407 (forall @t614 (=> @t613 (= @t615 @t616)))) % 1.42/1.62 (assume @p408 (forall @t494 (=> @t506 @t609))) % 1.42/1.62 (assume @p409 (forall (@list @t101 @t25 @t130) (=> @t537 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t498 @t130))))) % 1.42/1.62 (assume @p410 (forall (@list @t605 @t261 @t604) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t607 @t605) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t604 @t606)))) % 1.42/1.62 (assume @p411 (forall @t614 (=> @t613 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t103 @t610) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t527 @t131))))) % 1.42/1.62 (assume @p412 (forall @t85 (=> @t233 (=> @t232 (= (tptp.hAPP (tptp.hAPP @t48 (tptp.c_Groups_Oabs__class_Oabs @t34 @t37)) @t26) (tptp.c_Groups_Oabs__class_Oabs @t34 @t229)))))) % 1.42/1.62 (assume @p413 (forall @t276 (=> (tptp.class_Rings_Oordered__ring__abs @t34) (=> (and (or @t121 @t358) (or @t120 @t356)) @t583)))) % 1.42/1.62 (assume @p414 (forall @t55 (=> @t233 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t584)))) % 1.42/1.62 (assume @p415 (forall (@list @t37 @t26 @t39) (=> @t42 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t619 (tptp.hAPP @t40 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t37))) @t437)))) % 1.42/1.62 (assume @p416 (forall (@list @t44) (and (=> @t621 (= @t620 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t44))) (=> (not @t621) (= @t620 @t44))))) % 1.42/1.62 (assume @p417 (forall @t578 (and (=> @t622 (= @t577 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t76))) (=> (not @t622) (= @t577 @t76))))) % 1.42/1.62 (assume @p418 (forall @t484 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t619 @t8) @t26)))) % 1.42/1.62 (assume @p419 (forall (@list @t101 @t524 @t37 @t26) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t270 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t624 @t623))) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t26 @t624)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t37 @t623)))))) % 1.42/1.62 (assume @p420 (forall @t632 (= @t631 (not (or (and @t630 (not @t629)) (exists @t628 (and @t627 (not @t626)))))))) % 1.42/1.62 (assume @p421 (forall @t632 (= @t631 (and (=> @t630 @t629) (forall @t628 (=> @t627 @t626)))))) % 1.42/1.62 (assume @p422 (forall @t638 (=> @t618 (= @t637 (= @t195 @t634))))) % 1.42/1.62 (assume @p423 (forall (@list @t25 @t101 @t324 @t131 @t103) (=> @t507 (= @t639 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t131 @t103)) @t324) @t25)))))) % 1.42/1.62 (assume @p424 (forall @t638 (=> @t618 (= @t640 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t195 @t634))))) % 1.42/1.62 (assume @p425 (forall @t643 (=> @t642 (= @t637 (= @t641 @t95))))) % 1.42/1.62 (assume @p426 (forall (@list @t25 @t101 @t324 @t103 @t131) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t131 @t103) (= @t639 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 @t591) @t324) @t101) @t25))))) % 1.42/1.62 (assume @p427 (forall @t643 (=> @t642 (= @t640 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t641 @t95))))) % 1.42/1.62 (assume @p428 (forall @t276 (=> @t43 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t442) @t440)))) % 1.42/1.62 (assume @p429 (forall @t484 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t8 @t619)))) % 1.42/1.62 (assume @p430 (forall @t638 (=> @t618 (= @t644 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t195 @t634))))) % 1.42/1.62 (assume @p431 (forall @t643 (=> @t642 (= @t644 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t641 @t95))))) % 1.42/1.62 (assume @p432 (forall (@list @t26 @t25 @t34) (=> @t109 (=> @t119 (= (tptp.hAPP (tptp.hAPP @t48 (tptp.hAPP @t59 @t645)) @t26) @t60))))) % 1.42/1.62 (assume @p433 (= (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t8)) @t227)) % 1.42/1.62 (assume @p434 (forall (@list @t101 @t25 @t34) (=> @t116 (and (=> @t181 (= @t647 @t51)) (=> @t182 (= @t647 (tptp.hAPP @t396 (tptp.hAPP @t646 @t645)))))))) % 1.42/1.62 (assume @p435 (forall @t276 (=> @t436 (=> @t150 (=> @t342 (= @t435 (tptp.c_Groups_Ouminus__class_Ouminus @t34 (tptp.hAPP (tptp.hAPP @t48 (tptp.hAPP @t434 @t439)) @t418)))))))) % 1.42/1.62 (assume @p436 (forall @t89 (=> @t650 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t51 @t649) (and @t648 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t65 @t51)))))) % 1.42/1.62 (assume @p437 (forall @t89 (=> @t650 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t649 @t51) (or @t651 (tptp.c_Orderings_Oord__class_Oless @t34 @t51 @t65)))))) % 1.42/1.62 (assume @p438 (= @t572 (tptp.hAPP (tptp.hAPP @t23 @t653) @t572))) % 1.42/1.62 (assume @p439 (forall @t15 (= (tptp.hAPP @t564 @t10) (tptp.hAPP (tptp.hAPP @t23 @t654) @t572)))) % 1.42/1.62 (assume @p440 (= @t653 @t93)) % 1.42/1.62 (assume @p441 (= @t571 @t576)) % 1.42/1.62 (assume @p442 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t652))) % 1.42/1.62 (assume @p443 (forall (@list @t655) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t652 @t655)) @t8) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t564 @t655)) @t574)))) % 1.42/1.62 (assume @p444 (forall @t15 (= @t654 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t653 (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t656 tptp.v_k____)) (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_a____ tptp.v_s____)) @t10)))))) % 1.42/1.62 (assume @p445 (forall @t132 (= @t592 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t103 @t130) @t131)))) % 1.42/1.62 (assume @p446 (forall @t597 (=> @t658 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t312 @t657) (tptp.c_Groups_Oplus__class_Oplus @t34 @t439 (tptp.c_Groups_Ominus__class_Ominus @t34 @t39 @t367)))))) % 1.42/1.62 (assume @p447 (forall @t197 (=> @t659 @t444))) % 1.42/1.62 (assume @p448 (forall @t276 (=> @t659 (= @t451 (tptp.hAPP @t434 @t418))))) % 1.42/1.62 (assume @p449 (forall @t89 (=> @t659 (= (= @t649 @t51) @t317)))) % 1.42/1.62 (assume @p450 (forall @t112 (=> @t650 @t660))) % 1.42/1.62 (assume @p451 (forall @t311 (=> @t650 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t422 @t35) @t346)))) % 1.42/1.62 (assume @p452 (forall @t311 (=> @t650 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t422) @t348)))) % 1.42/1.62 (assume @p453 (forall @t276 (=> @t662 (=> @t661 (=> @t388 @t395))))) % 1.42/1.62 (assume @p454 (forall @t276 (=> @t662 (=> @t661 (=> @t53 @t395))))) % 1.42/1.62 (assume @p455 (forall @t112 (=> @t662 (=> @t663 (=> @t150 @t391))))) % 1.42/1.62 (assume @p456 (forall @t276 (=> @t662 (=> @t210 (=> @t388 @t664))))) % 1.42/1.62 (assume @p457 (forall @t276 (=> @t662 (=> @t210 (=> @t53 @t664))))) % 1.42/1.62 (assume @p458 (forall @t112 (=> @t662 (=> @t391 @t663)))) % 1.42/1.62 (assume @p459 (forall @t112 (=> @t662 (=> @t665 (=> @t150 @t53))))) % 1.42/1.62 (assume @p460 (forall @t112 (=> @t662 (=> @t53 @t665)))) % 1.42/1.62 (assume @p461 (forall @t311 (=> @t650 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t422 @t35) @t309)))) % 1.42/1.62 (assume @p462 (forall @t311 (=> @t650 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t422) @t666)))) % 1.42/1.62 (assume @p463 (forall @t112 (=> @t662 (=> @t150 @t660)))) % 1.42/1.62 (assume @p464 (forall @t484 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t667) @t667))) % 1.42/1.62 (assume @p465 (forall @t205 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t26 @t37) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t26 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t37))))) % 1.42/1.62 (assume @p466 (forall @t276 (=> @t662 (=> @t668 (=> @t388 @t365))))) % 1.42/1.62 (assume @p467 (forall @t276 (=> @t662 (=> @t668 (=> @t53 @t365))))) % 1.42/1.62 (assume @p468 (forall @t276 (=> @t662 (=> @t176 (=> @t388 @t669))))) % 1.42/1.62 (assume @p469 (forall @t276 (=> @t662 (=> @t176 (=> @t53 @t669))))) % 1.42/1.62 (assume @p470 (forall @t89 (=> @t650 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t649 @t51) (or @t651 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t51 @t65)))))) % 1.42/1.62 (assume @p471 (forall @t276 (=> @t670 (=> @t150 (=> @t342 (= @t474 (tptp.hAPP (tptp.hAPP @t48 (tptp.hAPP @t287 @t419)) @t418))))))) % 1.42/1.62 (assume @p472 (forall @t112 (=> @t662 (=> @t53 (=> @t52 (tptp.c_Orderings_Oord__class_Oless @t34 @t51 @t419)))))) % 1.42/1.62 (assume @p473 (forall @t89 (=> @t650 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t51 @t649) (and @t648 (tptp.c_Orderings_Oord__class_Oless @t34 @t65 @t51)))))) % 1.42/1.62 (assume @p474 (forall @t112 (=> @t670 @t475))) % 1.42/1.62 (assume @p475 (forall @t675 (=> @t204 (=> @t674 (=> @t673 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t483 @t37) (tptp.hAPP (tptp.hAPP @t19 @t672) @t324))))))) % 1.42/1.62 (assume @p476 (forall @t675 (=> @t204 (=> @t674 (=> @t673 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t19 @t37) @t426) (tptp.hAPP @t466 @t672))))))) % 1.42/1.62 (assume @p477 (forall (@list @t44 @t117) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t117 @t44)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t117)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t44)))) % 1.42/1.62 (assume @p478 (forall @t112 (=> @t662 (=> @t53 (=> @t212 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t51 @t419)))))) % 1.42/1.62 (assume @p479 (=> @t258 (exists @t256 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t652 @t254)) @t8)))) % 1.42/1.62 (assume @p480 (not (forall @t114 (= (tptp.hAPP @t652 @t3) (tptp.hAPP @t652 @t113))))) % 1.42/1.62 (assume @p481 (forall (@list @t677 @t101) (and (=> @t560 (= @t680 @t111)) (=> @t681 (= @t680 (tptp.hAPP @t679 (tptp.hAPP @t678 @t676))))))) % 1.42/1.62 (assume @p482 (forall @t499 (and (=> @t560 (= @t108 @t16)) (=> @t681 (= @t108 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 (tptp.hAPP (tptp.hAPP @t106 @t676) @t25))))))) % 1.42/1.62 (assume @p483 (forall @t686 (=> @t685 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t468 @t684 @t683) @t469) @t682)))) % 1.42/1.62 (assume @p484 (forall @t144 (=> @t349 (= (= @t689 @t35) @t688)))) % 1.42/1.62 (assume @p485 (forall @t85 (=> @t344 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t690)))) % 1.42/1.62 (assume @p486 (forall @t144 (=> @t349 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t689 @t35) @t688)))) % 1.42/1.62 (assume @p487 (forall @t85 (=> @t344 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t690 @t35))))) % 1.42/1.62 (assume @p488 (forall @t144 (=> @t349 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t689) (or @t87 (not @t687)))))) % 1.42/1.62 (assume @p489 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t692))) % 1.42/1.62 (assume @p490 (= @t216 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t691))) % 1.42/1.62 (assume @p491 (forall @t695 (=> @t685 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t683) @t26) (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 (tptp.hAPP @t77 @t694)))))) % 1.42/1.62 (assume @p492 (forall (@list @t600 @t153 @t65 @t34) (=> @t233 (= (tptp.c_Orderings_Oord__class_Oless @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t65 @t153)) @t600) (and (tptp.c_Orderings_Oord__class_Oless @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t153 @t600) @t65) (tptp.c_Orderings_Oord__class_Oless @t34 @t65 (tptp.c_Groups_Oplus__class_Oplus @t34 @t153 @t600))))))) % 1.42/1.62 (assume @p493 (forall (@list @t169 @t95 @t153 @t34) (=> @t472 (= (= @t696 (tptp.c_Polynomial_Omonom @t34 @t169 @t95)) @t170)))) % 1.42/1.62 (assume @p494 (forall @t55 (=> @t658 (= (tptp.c_Groups_Ouminus__class_Ouminus @t468 @t697) (tptp.c_Polynomial_Omonom @t34 @t277 @t25))))) % 1.42/1.62 (assume @p495 (forall @t123 (=> @t699 (= (tptp.c_Groups_Oplus__class_Oplus @t468 @t697 @t698) (tptp.c_Polynomial_Omonom @t34 @t286 @t25))))) % 1.42/1.62 (assume @p496 (forall (@list @t76 @t700 @t677 @t34) (=> @t685 (= (tptp.hAPP (tptp.hAPP @t701 @t704) @t76) (tptp.c_Groups_Oplus__class_Oplus @t468 (tptp.hAPP @t703 @t76) (tptp.hAPP @t702 @t76)))))) % 1.42/1.62 (assume @p497 (forall @t123 (=> @t658 (= (tptp.c_Groups_Ominus__class_Ominus @t468 @t697 @t698) (tptp.c_Polynomial_Omonom @t34 @t439 @t25))))) % 1.42/1.62 (assume @p498 (forall (@list @t25 @t117 @t101 @t44 @t34) (=> @t685 (= (tptp.hAPP (tptp.hAPP @t701 (tptp.c_Polynomial_Omonom @t34 @t44 @t101)) @t698) (tptp.c_Polynomial_Omonom @t34 @t162 @t322))))) % 1.42/1.62 (assume @p499 (forall @t165 (=> @t472 (= (tptp.c_Polynomial_Omonom @t34 @t35 @t25) @t469)))) % 1.42/1.62 (assume @p500 (forall @t160 (=> @t472 (= (= @t696 @t469) @t154)))) % 1.42/1.62 (assume @p501 (forall @t164 (=> @t685 (= (tptp.c_Polynomial_Osmult @t34 @t44 @t698) (tptp.c_Polynomial_Omonom @t34 @t162 @t25))))) % 1.42/1.62 (assume @p502 (forall (@list @t26 @t25 @t44 @t34) (=> @t705 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t697) @t26) (tptp.hAPP @t49 @t60))))) % 1.42/1.62 (assume @p503 (forall @t112 (=> @t472 (= (tptp.c_Polynomial_Omonom @t34 @t44 @t16) @t706)))) % 1.42/1.62 (assume @p504 (forall @t145 (=> @t233 (and (=> @t708 (= @t707 (tptp.c_Groups_Ouminus__class_Ouminus @t468 @t26))) (=> (not @t708) (= @t707 @t26)))))) % 1.42/1.62 (assume @p505 (forall @t709 (=> @t685 (= (tptp.hAPP (tptp.hAPP @t701 @t469) @t700) @t469)))) % 1.42/1.62 (assume @p506 (forall @t710 (=> @t685 (= (tptp.hAPP @t703 @t469) @t469)))) % 1.42/1.62 (assume @p507 (forall @t710 (=> @t658 (= (tptp.c_Groups_Ominus__class_Ominus @t468 @t677 @t469) @t677)))) % 1.42/1.62 (assume @p508 (forall @t710 (=> @t699 (= (tptp.c_Groups_Oplus__class_Oplus @t468 @t677 @t469) @t677)))) % 1.42/1.62 (assume @p509 (forall @t709 (=> @t658 (= (tptp.c_Groups_Ominus__class_Ominus @t468 @t469 @t700) (tptp.c_Groups_Ouminus__class_Ouminus @t468 @t700))))) % 1.42/1.62 (assume @p510 (forall @t709 (=> @t699 (= (tptp.c_Groups_Oplus__class_Oplus @t468 @t469 @t700) @t700)))) % 1.42/1.62 (assume @p511 (forall @t197 (=> @t658 (= (tptp.c_Groups_Ouminus__class_Ouminus @t468 @t469) @t469)))) % 1.42/1.62 (assume @p512 (forall (@list @t711 @t470 @t34) (=> @t714 (= (= @t713 (tptp.c_Polynomial_Opoly @t34 @t711)) @t712)))) % 1.42/1.62 (assume @p513 (forall (@list @t711 @t169 @t470 @t153 @t34) (=> @t472 (= (= @t715 (tptp.c_Polynomial_OpCons @t34 @t169 @t711)) (and @t170 @t712))))) % 1.42/1.62 (assume @p514 (forall @t720 (=> @t719 (= (tptp.c_Polynomial_Osmult @t34 @t44 @t718) (tptp.c_Groups_Ominus__class_Ominus @t468 @t717 @t716))))) % 1.42/1.62 (assume @p515 (forall @t723 (=> @t685 (= (tptp.hAPP @t703 @t716) @t722)))) % 1.42/1.62 (assume @p516 (forall @t720 (=> @t685 (= (tptp.hAPP (tptp.hAPP @t701 @t717) @t700) @t722)))) % 1.42/1.62 (assume @p517 (forall @t726 (=> @t719 (= (tptp.c_Polynomial_Osmult @t34 @t44 @t725) @t724)))) % 1.42/1.62 (assume @p518 (forall @t720 (=> @t685 (= (tptp.c_Polynomial_Osmult @t34 @t44 @t704) (tptp.c_Groups_Oplus__class_Oplus @t468 @t717 @t716))))) % 1.42/1.62 (assume @p519 (forall (@list @t26 @t677 @t25 @t34) (=> @t727 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 (tptp.hAPP (tptp.hAPP @t701 (tptp.c_Polynomial_Omonom @t34 @t51 @t25)) @t677)) @t26) (tptp.hAPP (tptp.hAPP @t48 @t60) @t694))))) % 1.42/1.62 (assume @p520 (forall @t729 (=> @t685 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t721) @t26) (tptp.hAPP (tptp.hAPP @t48 @t694) @t728))))) % 1.42/1.62 (assume @p521 (forall @t729 (=> @t685 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t704) @t26) (tptp.c_Groups_Oplus__class_Oplus @t34 @t694 @t728))))) % 1.42/1.62 (assume @p522 (forall @t145 (=> @t705 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t730) @t26) @t51)))) % 1.42/1.62 (assume @p523 (forall @t729 (=> @t719 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t718) @t26) (tptp.c_Groups_Ominus__class_Ominus @t34 @t694 @t728))))) % 1.42/1.62 (assume @p524 (forall @t732 (=> @t699 (= (tptp.c_Groups_Oplus__class_Oplus @t468 @t683 @t731) (tptp.c_Polynomial_OpCons @t34 @t286 @t704))))) % 1.42/1.62 (assume @p525 (forall (@list @t26 @t677 @t34) (=> @t719 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t725) @t26) (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t694))))) % 1.42/1.62 (assume @p526 (forall (@list @t26 @t25 @t677 @t34) (=> @t705 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 (tptp.hAPP (tptp.hAPP @t733 @t677) @t25)) @t26) (tptp.hAPP (tptp.hAPP @t45 @t694) @t25))))) % 1.42/1.62 (assume @p527 (forall @t732 (=> @t658 (= (tptp.c_Groups_Ominus__class_Ominus @t468 @t683 @t731) (tptp.c_Polynomial_OpCons @t34 @t439 @t718))))) % 1.42/1.62 (assume @p528 (forall @t735 (=> @t685 (= (tptp.c_Polynomial_Osmult @t34 @t44 @t734) (tptp.c_Polynomial_Osmult @t34 @t162 @t677))))) % 1.42/1.62 (assume @p529 (forall @t735 (=> @t685 (= (tptp.c_Polynomial_Osmult @t34 @t286 @t677) (tptp.c_Groups_Oplus__class_Oplus @t468 @t717 @t734))))) % 1.42/1.62 (assume @p530 (forall @t710 (=> @t705 (= (tptp.c_Polynomial_Osmult @t34 @t51 @t677) @t677)))) % 1.42/1.62 (assume @p531 (forall @t726 (=> @t658 (= (tptp.c_Groups_Ouminus__class_Ouminus @t468 @t683) (tptp.c_Polynomial_OpCons @t34 @t277 @t725))))) % 1.42/1.62 (assume @p532 (forall (@list @t677 @t44 @t115) (=> (tptp.class_Groups_Oab__group__add @t115) (= (tptp.c_Groups_Ouminus__class_Ouminus @t736 (tptp.c_Polynomial_OpCons @t115 @t44 @t677)) (tptp.c_Polynomial_OpCons @t115 (tptp.c_Groups_Ouminus__class_Ouminus @t115 @t44) (tptp.c_Groups_Ouminus__class_Ouminus @t736 @t677)))))) % 1.42/1.62 (assume @p533 (forall @t735 (=> @t719 (= (tptp.c_Polynomial_Osmult @t34 @t439 @t677) (tptp.c_Groups_Ominus__class_Ominus @t468 @t717 @t734))))) % 1.42/1.62 (assume @p534 (forall @t726 (=> @t719 (= (tptp.c_Polynomial_Osmult @t34 @t277 @t677) @t724)))) % 1.42/1.62 (assume @p535 (forall @t473 (=> @t714 (= (= @t713 @t737) @t471)))) % 1.42/1.62 (assume @p536 (forall @t112 (=> @t685 (= (tptp.c_Polynomial_Osmult @t34 @t44 @t469) @t469)))) % 1.42/1.62 (assume @p537 (forall @t145 (=> @t685 (= (tptp.hAPP @t737 @t26) @t35)))) % 1.42/1.62 (assume @p538 (forall @t738 (=> @t472 (= (= @t715 @t469) (and @t154 @t471))))) % 1.42/1.62 (assume @p539 (forall @t197 (=> @t472 (= (tptp.c_Polynomial_OpCons @t34 @t35 @t469) @t469)))) % 1.42/1.62 (assume @p540 (forall @t710 (=> @t685 (= (tptp.c_Polynomial_Osmult @t34 @t35 @t677) @t469)))) % 1.42/1.62 (assume @p541 (forall @t738 (=> @t284 (= (= (tptp.c_Polynomial_Osmult @t34 @t153 @t470) @t469) (or @t154 @t471))))) % 1.42/1.62 (assume @p542 (forall @t197 (=> @t705 (= @t730 @t739)))) % 1.42/1.62 (assume @p543 (forall @t695 (=> @t685 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t717) @t26) (tptp.hAPP @t49 @t694))))) % 1.42/1.62 (assume @p544 (forall @t720 (=> @t685 (= (tptp.hAPP (tptp.hAPP @t701 @t683) @t700) (tptp.c_Groups_Oplus__class_Oplus @t468 @t716 @t740))))) % 1.42/1.62 (assume @p545 (forall @t723 (=> @t685 (= (tptp.hAPP @t703 (tptp.c_Polynomial_OpCons @t34 @t44 @t700)) (tptp.c_Groups_Oplus__class_Oplus @t468 @t717 @t740))))) % 1.42/1.62 (assume @p546 (forall @t735 (=> @t685 (= (tptp.c_Polynomial_Osmult @t34 @t44 (tptp.c_Polynomial_OpCons @t34 @t117 @t677)) (tptp.c_Polynomial_OpCons @t34 @t162 @t717))))) % 1.42/1.62 (assume @p547 (forall @t686 (=> @t685 (=> (= @t684 @t683) @t682)))) % 1.42/1.62 (assume @p548 (exists @t15 (= (tptp.hAPP @t692 @t10) @t9))) % 1.42/1.62 (assume @p549 (forall @t276 (=> @t743 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t742 @t741)))) % 1.42/1.62 (assume @p550 (forall @t371 (=> @t743 (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t482) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t480) (tptp.c_Groups_Oabs__class_Oabs @t34 @t479)))))) % 1.42/1.62 (assume @p551 (forall @t112 (=> @t743 @t745))) % 1.42/1.62 (assume @p552 (forall @t89 (=> @t472 (= (= @t35 @t65) @t86)))) % 1.42/1.62 (assume @p553 (forall @t289 (=> (tptp.class_Groups_Oab__semigroup__mult @t34) (= (tptp.hAPP (tptp.hAPP @t48 @t162) @t39) (tptp.hAPP @t49 @t243))))) % 1.42/1.62 (assume @p554 (forall @t366 (=> @t748 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t117 @t44) @t747) @t746)))) % 1.42/1.62 (assume @p555 (forall @t289 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t34) @t749))) % 1.42/1.62 (assume @p556 (forall @t289 (=> @t748 @t749))) % 1.42/1.62 (assume @p557 (forall (@list @t171 @t153 @t169 @t34) (=> @t748 (= (= @t752 @t751) @t750)))) % 1.42/1.62 (assume @p558 (forall (@list @t171 @t169 @t153 @t34) (=> @t748 (= (= @t754 @t753) @t750)))) % 1.42/1.62 (assume @p559 (forall @t289 (=> (tptp.class_Groups_Oab__semigroup__add @t34) @t757))) % 1.42/1.62 (assume @p560 (forall @t89 (=> (tptp.class_Groups_Oone @t34) (= (= @t51 @t65) @t317)))) % 1.42/1.62 (assume @p561 (forall @t760 (=> @t658 (=> @t759 (= @t170 @t758))))) % 1.42/1.62 (assume @p562 (forall @t285 (=> @t267 (= (= @t310 @t280) @t170)))) % 1.42/1.62 (assume @p563 (forall @t285 (=> @t267 (= (= @t310 @t169) (= @t280 @t153))))) % 1.42/1.62 (assume @p564 (forall @t285 (=> @t267 (= @t281 (= @t169 @t310))))) % 1.42/1.62 (assume @p565 (forall @t112 (=> @t267 (= (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t277) @t44)))) % 1.42/1.62 (assume @p566 (forall @t112 (=> @t743 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t580) @t580)))) % 1.42/1.62 (assume @p567 (forall @t112 (=> @t762 @t761))) % 1.42/1.62 (assume @p568 (forall @t112 (=> @t699 @t761))) % 1.42/1.62 (assume @p569 (forall @t311 (=> @t764 (= (= @t35 @t763) @t154)))) % 1.42/1.62 (assume @p570 (forall @t112 (=> @t762 @t765))) % 1.42/1.62 (assume @p571 (forall @t112 (=> @t699 @t765))) % 1.42/1.62 (assume @p572 (forall @t379 (=> @t767 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t753 @t766) @t397)))) % 1.42/1.62 (assume @p573 (forall @t384 (=> @t767 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t751 @t768) @t397)))) % 1.42/1.62 (assume @p574 (forall @t289 (=> @t770 (=> @t176 @t769)))) % 1.42/1.62 (assume @p575 (forall @t289 (=> @t770 (=> @t176 @t772)))) % 1.42/1.62 (assume @p576 (forall @t371 (=> @t770 (=> @t176 (=> @t370 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t312 @t657)))))) % 1.42/1.62 (assume @p577 (forall @t246 (=> @t767 (=> @t769 @t176)))) % 1.42/1.62 (assume @p578 (forall @t241 (=> @t767 (=> @t772 @t176)))) % 1.42/1.62 (assume @p579 (forall @t379 (=> @t767 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t753 @t766) @t374)))) % 1.42/1.62 (assume @p580 (forall @t384 (=> @t767 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t751 @t768) @t374)))) % 1.42/1.62 (assume @p581 (forall @t289 (=> @t774 (=> @t210 @t773)))) % 1.42/1.62 (assume @p582 (forall @t289 (=> @t774 (=> @t210 @t775)))) % 1.42/1.62 (assume @p583 (forall @t371 (=> @t774 (=> @t210 @t777)))) % 1.42/1.62 (assume @p584 (forall @t246 (=> @t767 (=> @t773 @t210)))) % 1.42/1.62 (assume @p585 (forall @t241 (=> @t767 (=> @t775 @t210)))) % 1.42/1.62 (assume @p586 (forall @t285 (=> @t267 (= @t778 @t170)))) % 1.42/1.62 (assume @p587 (forall @t285 (=> @t658 (= @t170 @t778)))) % 1.42/1.62 (assume @p588 (forall @t112 (=> @t267 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t44 @t44) @t35)))) % 1.42/1.62 (assume @p589 (forall @t112 (=> @t267 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t44 @t35) @t44)))) % 1.42/1.62 (assume @p590 (forall @t760 (=> @t779 (=> @t759 (= @t397 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t171 @t457)))))) % 1.42/1.62 (assume @p591 (forall @t760 (=> @t779 (=> @t759 (= @t374 (tptp.c_Orderings_Oord__class_Oless @t34 @t171 @t457)))))) % 1.42/1.62 (assume @p592 (forall @t112 (=> @t109 @t780))) % 1.42/1.62 (assume @p593 (forall @t112 (=> @t163 @t780))) % 1.42/1.62 (assume @p594 (forall @t112 (=> @t109 @t781))) % 1.42/1.62 (assume @p595 (forall @t112 (=> @t163 @t781))) % 1.42/1.62 (assume @p596 (forall @t197 (=> @t267 (= (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t35) @t35)))) % 1.42/1.62 (assume @p597 (forall @t311 (=> @t267 (= (= @t35 @t310) (= @t35 @t153))))) % 1.42/1.62 (assume @p598 (forall @t311 (=> @t764 (= (= @t153 @t310) @t154)))) % 1.42/1.62 (assume @p599 (forall @t311 (=> @t267 (= (= @t310 @t35) @t154)))) % 1.42/1.62 (assume @p600 (forall @t311 (=> @t764 (= (= @t310 @t153) @t154)))) % 1.42/1.62 (assume @p601 (forall @t285 (=> @t779 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t153 @t280) (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t169 @t310))))) % 1.42/1.62 (assume @p602 (forall @t285 (=> @t779 (= @t782 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t280 @t153))))) % 1.42/1.62 (assume @p603 (forall @t783 (=> @t779 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t280 @t310) @t397)))) % 1.42/1.62 (assume @p604 (forall @t276 (=> @t779 (=> @t176 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t272 @t277))))) % 1.42/1.62 (assume @p605 (forall @t276 (=> @t267 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t439 @t117) @t44)))) % 1.42/1.62 (assume @p606 (forall @t276 (=> @t267 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t286 @t117) @t44)))) % 1.42/1.62 (assume @p607 (forall @t285 (=> @t779 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t153 @t280) (tptp.c_Orderings_Oord__class_Oless @t34 @t169 @t310))))) % 1.42/1.62 (assume @p608 (forall @t285 (=> @t779 (= @t598 (tptp.c_Orderings_Oord__class_Oless @t34 @t280 @t153))))) % 1.42/1.62 (assume @p609 (forall @t783 (=> @t779 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t280 @t310) @t374)))) % 1.42/1.62 (assume @p610 (forall @t276 (=> @t267 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t277 @t286) @t117)))) % 1.42/1.62 (assume @p611 (forall @t276 (=> @t267 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 (tptp.c_Groups_Oplus__class_Oplus @t34 @t277 @t117)) @t117)))) % 1.42/1.62 (assume @p612 (forall @t276 (=> @t267 (= @t784 (tptp.c_Groups_Oplus__class_Oplus @t34 @t272 @t277))))) % 1.42/1.62 (assume @p613 (forall @t276 (=> @t658 (= @t784 (tptp.c_Groups_Oplus__class_Oplus @t34 @t277 @t272))))) % 1.42/1.62 (assume @p614 (forall @t276 (=> @t658 (= @t785 @t433)))) % 1.42/1.62 (assume @p615 (forall @t311 (=> @t743 (= (= @t599 @t35) @t154)))) % 1.42/1.62 (assume @p616 (forall @t197 (=> @t743 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t35) @t35)))) % 1.42/1.62 (assume @p617 (forall @t276 (=> @t743 (=> @t786 @t176)))) % 1.42/1.62 (assume @p618 (forall @t112 (=> @t743 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t44 @t580)))) % 1.42/1.62 (assume @p619 (forall @t276 (=> @t743 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t741) @t741)))) % 1.42/1.62 (assume @p620 (forall @t276 (=> @t743 (= @t742 @t787)))) % 1.42/1.62 (assume @p621 (forall @t112 (=> @t743 (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t277) @t580)))) % 1.42/1.62 (assume @p622 (forall @t311 (=> @t764 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t763) @t348)))) % 1.42/1.62 (assume @p623 (forall @t311 (=> @t764 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t763 @t35) @t346)))) % 1.42/1.62 (assume @p624 (forall @t276 (=> @t788 (=> @t121 (=> @t120 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t286)))))) % 1.42/1.62 (assume @p625 (forall @t144 (=> @t788 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t65) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t64) (= @t266 @t688)))))) % 1.42/1.62 (assume @p626 (forall @t289 (=> @t788 (=> @t121 (=> @t790 @t789))))) % 1.42/1.62 (assume @p627 (forall (@list @t44 @t117 @t39 @t34) (=> @t788 (=> @t247 (=> @t365 @t789))))) % 1.42/1.62 (assume @p628 (forall @t276 (=> @t788 (=> @t358 (=> @t356 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t286 @t35)))))) % 1.42/1.62 (assume @p629 (forall @t311 (=> @t764 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t763) @t666)))) % 1.42/1.62 (assume @p630 (forall @t311 (=> @t764 @t791))) % 1.42/1.62 (assume @p631 (forall @t276 (=> @t788 (=> @t53 @t793)))) % 1.42/1.62 (assume @p632 (forall @t276 (=> @t788 (=> @t391 @t795)))) % 1.42/1.62 (assume @p633 (forall @t371 (=> @t774 (=> @t210 (=> @t370 @t776))))) % 1.42/1.62 (assume @p634 (forall @t371 (=> @t774 (=> @t176 @t777)))) % 1.42/1.62 (assume @p635 (forall @t285 (=> @t779 (= @t397 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t459 @t35))))) % 1.42/1.62 (assume @p636 (forall @t285 (=> @t779 (= @t374 (tptp.c_Orderings_Oord__class_Oless @t34 @t459 @t35))))) % 1.42/1.62 (assume @p637 (forall @t311 (=> @t779 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t310) @t346)))) % 1.42/1.62 (assume @p638 (forall @t311 (=> @t764 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t153 @t310) @t346)))) % 1.42/1.62 (assume @p639 (forall @t311 (=> @t779 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t310 @t35) @t348)))) % 1.42/1.62 (assume @p640 (forall @t311 (=> @t764 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t310 @t153) @t348)))) % 1.42/1.62 (assume @p641 (forall @t311 (=> @t779 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t310) @t309)))) % 1.42/1.62 (assume @p642 (forall @t311 (=> @t779 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t310 @t35) @t666)))) % 1.42/1.62 (assume @p643 (forall @t311 (=> @t764 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t310 @t153) @t666)))) % 1.42/1.62 (assume @p644 (forall @t112 (=> @t267 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t277) @t35)))) % 1.42/1.62 (assume @p645 (forall @t285 (=> @t267 (= @t281 (= @t754 @t35))))) % 1.42/1.62 (assume @p646 (forall @t112 (=> @t267 @t796))) % 1.42/1.62 (assume @p647 (forall @t112 (=> @t658 @t796))) % 1.42/1.62 (assume @p648 (forall @t276 (=> @t267 (=> (= @t286 @t35) (= @t277 @t117))))) % 1.42/1.62 (assume @p649 (forall @t112 (=> @t267 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t35 @t44) @t277)))) % 1.42/1.62 (assume @p650 (forall @t112 (=> @t743 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t35 @t580)))) % 1.42/1.62 (assume @p651 (forall @t311 (=> @t743 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t599 @t35) @t154)))) % 1.42/1.62 (assume @p652 (forall @t112 (=> @t743 (=> @t121 @t797)))) % 1.42/1.62 (assume @p653 (forall @t112 (=> @t743 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t580 @t35))))) % 1.42/1.62 (assume @p654 (forall @t311 (=> @t743 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t599) (not @t154))))) % 1.42/1.62 (assume @p655 (forall @t112 (=> @t743 (=> @t53 @t797)))) % 1.42/1.62 (assume @p656 (forall @t276 (=> @t267 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t44 @t272) @t286)))) % 1.42/1.62 (assume @p657 (forall @t276 (=> @t658 @t798))) % 1.42/1.62 (assume @p658 (forall @t276 (=> @t267 @t798))) % 1.42/1.62 (assume @p659 (forall @t276 (=> @t743 (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t286) @t741)))) % 1.42/1.62 (assume @p660 (forall @t276 (=> @t743 (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t799) @t742)))) % 1.42/1.62 (assume @p661 (forall @t276 (=> @t743 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t799 @t742)))) % 1.42/1.62 (assume @p662 (forall @t276 (=> @t743 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t799 @t787)))) % 1.42/1.62 (assume @p663 (forall @t276 (=> @t743 (=> @t786 @t800)))) % 1.42/1.62 (assume @p664 (forall @t276 (=> @t743 (=> @t176 (=> @t800 @t786))))) % 1.42/1.62 (assume @p665 (forall @t285 (=> @t743 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t599 @t169) (and @t397 @t782))))) % 1.42/1.62 (assume @p666 (forall @t112 (=> @t743 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t277 @t580)))) % 1.42/1.62 (assume @p667 (forall @t276 (=> @t788 (=> @t53 (=> @t120 @t792))))) % 1.42/1.62 (assume @p668 (forall @t276 (=> @t788 (=> @t121 @t793)))) % 1.42/1.62 (assume @p669 (forall @t289 (=> @t788 (=> @t53 (=> @t790 @t313))))) % 1.42/1.62 (assume @p670 (forall @t289 (=> @t788 (=> @t121 @t315)))) % 1.42/1.62 (assume @p671 (forall @t276 (=> @t788 (=> @t391 (=> @t356 @t794))))) % 1.42/1.62 (assume @p672 (forall @t276 (=> @t788 (=> @t358 @t795)))) % 1.42/1.62 (assume @p673 (forall @t112 (=> @t743 (tptp.c_Orderings_Oord__class_Oless__eq @t34 (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t580) @t35)))) % 1.42/1.62 (assume @p674 (forall @t112 (=> @t743 (=> @t358 @t744)))) % 1.42/1.62 (assume @p675 (forall @t112 (=> (tptp.class_Groups_Oabs__if @t34) (and @t745 (=> (not @t391) @t797))))) % 1.42/1.62 (assume @p676 (forall (@list @t677 @t39 @t34) (=> @t727 (= (tptp.c_Groups_Oplus__class_Oplus @t468 (tptp.hAPP (tptp.hAPP @t701 (tptp.c_Polynomial_OpCons @t34 (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t39) @t739)) @t802) (tptp.c_Polynomial_OpCons @t34 @t801 @t469)) @t677)))) % 1.42/1.62 (assume @p677 (forall (@list @t25 @t117) (=> (not (= @t117 @t9)) (=> @t182 (exists @t15 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t93 (tptp.hAPP (tptp.hAPP @t23 @t117) (tptp.hAPP @t656 @t25)))) @t8)))))) % 1.42/1.62 (assume @p678 (forall @t100 (= @t99 (or @t96 @t97)))) % 1.42/1.62 (assume @p679 (forall (@list @t39 @t34) (=> @t685 (= (tptp.c_Polynomial_Osynthetic__div @t34 @t469 @t39) @t469)))) % 1.42/1.62 (assume @p680 (forall (@list @t39 @t677 @t44 @t34) (=> @t685 (= (tptp.c_Polynomial_Osynthetic__div @t34 @t683 @t39) @t803)))) % 1.42/1.62 (assume @p681 (forall (@list @t76 @t700 @t39 @t677 @t34) (=> @t685 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t468 @t677 (tptp.c_Polynomial_Osmult @t34 @t39 @t700)) (tptp.c_Polynomial_OpCons @t34 @t76 @t700)) (and (= @t76 @t801) (= @t700 @t802)))))) % 1.42/1.62 (assume @p682 (forall (@list @t39 @t677 @t34) (=> @t685 (= (tptp.c_Groups_Oplus__class_Oplus @t468 @t677 (tptp.c_Polynomial_Osmult @t34 @t39 @t802)) @t803)))) % 1.42/1.62 (assume @p683 (forall @t804 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t467)) @t199))) % 1.42/1.62 (assume @p684 (forall @t807 (=> @t705 (= (tptp.hAPP (tptp.hAPP @t48 @t806) @t805) (tptp.hAPP @t59 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t677 @t700)))))) % 1.42/1.62 (assume @p685 (forall @t145 (=> @t705 (= (tptp.hAPP @t59 @t16) @t51)))) % 1.42/1.62 (assume @p686 (forall @t276 (=> @t705 (= @t162 @t357)))) % 1.42/1.62 (assume @p687 (forall @t815 (=> @t705 (= @t814 (tptp.hAPP @t812 (tptp.hAPP @t810 @t808)))))) % 1.42/1.62 (assume @p688 (forall @t815 (=> @t705 (= @t814 (tptp.hAPP @t816 @t808))))) % 1.42/1.62 (assume @p689 (forall @t821 (=> @t705 (= @t820 (tptp.hAPP @t810 (tptp.hAPP @t818 @t811)))))) % 1.42/1.62 (assume @p690 (forall @t821 (=> @t705 (= @t820 (tptp.hAPP @t816 @t817))))) % 1.42/1.62 (assume @p691 (forall @t823 (=> @t705 (= @t822 (tptp.hAPP @t810 (tptp.hAPP @t818 @t813)))))) % 1.42/1.62 (assume @p692 (forall @t823 (=> @t705 (= @t822 (tptp.hAPP @t812 (tptp.hAPP @t819 @t808)))))) % 1.42/1.62 (assume @p693 (forall @t823 (=> @t705 (= @t822 (tptp.hAPP @t816 (tptp.hAPP @t818 @t808)))))) % 1.42/1.62 (assume @p694 (forall @t371 (=> @t705 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t286 @t481) (tptp.c_Groups_Oplus__class_Oplus @t34 @t312 @t657))))) % 1.42/1.62 (assume @p695 (forall @t289 (=> @t705 (= @t756 (tptp.c_Groups_Oplus__class_Oplus @t34 @t312 @t117))))) % 1.42/1.62 (assume @p696 (forall @t289 (=> @t705 @t757))) % 1.42/1.62 (assume @p697 (forall @t825 (=> @t705 (= @t824 (tptp.c_Groups_Oplus__class_Oplus @t34 @t312 @t367))))) % 1.42/1.62 (assume @p698 (forall @t825 (=> @t705 (= @t824 (tptp.c_Groups_Oplus__class_Oplus @t34 @t39 (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 @t367)))))) % 1.42/1.62 (assume @p699 (forall (@list @t39 @t44 @t34) (=> @t705 (= @t312 @t747)))) % 1.42/1.62 (assume @p700 (forall @t112 (=> @t705 @t338))) % 1.42/1.62 (assume @p701 (forall @t112 (=> @t705 @t146))) % 1.42/1.62 (assume @p702 (forall @t112 (=> @t705 @t761))) % 1.42/1.62 (assume @p703 (forall @t112 (=> @t705 @t765))) % 1.42/1.62 (assume @p704 (forall @t783 (=> @t826 (= (= @t169 @t752) @t154)))) % 1.42/1.62 (assume @p705 (forall @t827 (=> @t705 (= (tptp.hAPP @t77 (tptp.c_Groups_Oplus__class_Oplus @t34 @t37 @t125)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t78 (tptp.hAPP @t77 @t125)))))) % 1.42/1.62 (assume @p706 (forall @t760 (=> @t826 (= (and (not @t170) (not @t758)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t378 (tptp.hAPP @t282 @t457)) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t283 @t457) @t377))))))) % 1.42/1.62 (assume @p707 (forall @t289 (=> @t705 @t288))) % 1.42/1.62 (assume @p708 (forall (@list @t117 @t101 @t44 @t34) (=> @t705 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t828 (tptp.hAPP @t242 @t101)) (tptp.hAPP @t287 @t101))))) % 1.42/1.62 (assume @p709 (forall (@list @t67 @t65 @t64 @t655 @t34) (=> @t826 (= (= (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t829 @t64) (tptp.hAPP @t318 @t67)) (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.hAPP @t829 @t67) (tptp.hAPP @t318 @t64))) (or (= @t655 @t65) (= @t64 @t67)))))) % 1.42/1.62 (assume @p710 (forall @t112 (=> @t705 @t780))) % 1.42/1.62 (assume @p711 (forall @t112 (=> @t705 @t781))) % 1.42/1.62 (assume @p712 (forall (@list @t700 @t37 @t26 @t34) (=> @t705 (= (tptp.hAPP (tptp.hAPP @t45 @t78) @t700) (tptp.hAPP (tptp.hAPP @t48 @t805) (tptp.hAPP @t830 @t700)))))) % 1.42/1.62 (assume @p713 (forall @t807 (=> @t705 (= (tptp.hAPP (tptp.hAPP @t45 @t806) @t700) (tptp.hAPP @t59 (tptp.hAPP @t679 @t700)))))) % 1.42/1.62 (assume @p714 (forall @t145 (=> @t705 (= (tptp.hAPP @t59 @t111) @t26)))) % 1.42/1.62 (assume @p715 (forall (@list @t367 @t39 @t117 @t44 @t76 @t34) (=> @t826 (=> (not (= @t76 @t35)) (=> (and @t118 (not (= @t39 @t367))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t44 (tptp.hAPP @t831 @t39)) (tptp.c_Groups_Oplus__class_Oplus @t34 @t117 (tptp.hAPP @t831 @t367))))))))) % 1.42/1.62 (assume @p716 (forall (@list @t101 @t34) (=> @t705 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t101 @t101) (tptp.hAPP (tptp.hAPP @t48 @t321) @t101))))) % 1.42/1.62 (assume @p717 (forall (@list @t44 @t101 @t34) (=> @t705 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t101 @t828) @t832)))) % 1.42/1.62 (assume @p718 (forall (@list @t101 @t44 @t34) (=> @t705 (= (tptp.c_Groups_Oplus__class_Oplus @t34 @t828 @t101) @t832)))) % 1.42/1.62 (assume @p719 (forall @t145 (=> @t727 (= @t296 (tptp.hAPP (tptp.hAPP @t48 @t316) @t26))))) % 1.42/1.62 (assume @p720 (forall @t85 (=> @t727 (= @t447 (tptp.c_Groups_Oplus__class_Oplus @t34 @t26 @t833))))) % 1.42/1.62 (assume @p721 (forall @t720 (=> @t685 (= (tptp.c_Polynomial_Opcompose @t34 @t683 @t700) (tptp.c_Groups_Oplus__class_Oplus @t468 @t706 (tptp.hAPP @t702 @t834)))))) % 1.42/1.62 (assume @p722 (forall @t311 (=> @t233 @t791))) % 1.42/1.62 (assume @p723 (forall @t197 (=> @t201 (exists @t838 (and @t837 @t836))))) % 1.42/1.62 (assume @p724 (forall @t709 (=> @t685 (= (tptp.c_Polynomial_Opcompose @t34 @t469 @t700) @t469)))) % 1.42/1.62 (assume @p725 (forall @t729 (=> @t685 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t34 @t834) @t26) (tptp.hAPP @t693 @t728))))) % 1.42/1.62 (assume @p726 (forall @t100 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t839 (tptp.hAPP (tptp.hAPP @t840 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t65)) @t95)) (or (not (= @t65 @t839)) @t96)))) % 1.42/1.62 (assume @p727 (forall @t449 (= (tptp.hAPP @t841 @t500) (tptp.hAPP (tptp.hAPP @t843 @t842) (tptp.hAPP @t841 @t125))))) % 1.42/1.62 (assume @p728 (forall @t449 (= (tptp.hAPP (tptp.hAPP @t840 @t842) @t125) (tptp.hAPP @t841 (tptp.hAPP (tptp.hAPP @t106 @t37) @t125))))) % 1.42/1.62 (assume @p729 (forall @t311 (=> @t764 (= (= @t763 @t35) @t154)))) % 1.42/1.62 (assume @p730 (forall @t175 (=> (= @t485 @t8) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t125 @t93)) @t8) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t125 @t93)) @t8) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t125 tptp.c_Complex_Oii)) @t8) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t125 tptp.c_Complex_Oii)) @t8))))) % 1.42/1.62 (assume @p731 (forall (@list @t153 @t470 @t34) (=> @t284 (= (= (tptp.hAPP @t713 @t153) @t35) (or @t471 (not (= (tptp.c_Polynomial_Oorder @t34 @t153 @t470) @t16))))))) % 1.42/1.62 (assume @p732 (forall @t175 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t845 @t125) @t839)))) % 1.42/1.62 (assume @p733 (forall @t175 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t846 @t125) @t839))) % 1.42/1.62 (assume @p734 (forall @t847 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t844 @t67) @t67) @t839) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t67 @t839)))) % 1.42/1.62 (assume @p735 (forall @t175 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t125) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t839 @t845)))) % 1.42/1.62 (assume @p736 (forall (@list @t125 @t849 @t124 @t850) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t850 @t124) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t849 @t125) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t850 @t849) @t848))))) % 1.42/1.62 (assume @p737 (forall @t132 (=> @t851 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t103 @t130) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t131 @t130))))) % 1.42/1.62 (assume @p738 (forall @t486 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t124 @t125) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t124 @t844) @t125)))) % 1.42/1.62 (assume @p739 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t843 @t856) @t124) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t855 @t853)))) % 1.42/1.62 (assume @p740 (forall @t858 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t655 @t844) @t67) @t857))) % 1.42/1.62 (assume @p741 (forall @t862 (= (tptp.hAPP @t859 @t856) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t861 @t860)))) % 1.42/1.62 (assume @p742 (forall @t858 (= @t863 (or @t857 (= @t655 @t67))))) % 1.42/1.62 (assume @p743 (forall @t858 (= @t863 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t655 @t67)))) % 1.42/1.62 (assume @p744 (forall (@list @t103) (and (=> @t865 (= @t864 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t103))) (=> (not @t865) (= @t864 @t103))))) % 1.42/1.62 (assume @p745 (forall @t264 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t261 @t262) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t261 @t262) @t839)))) % 1.42/1.62 (assume @p746 (forall @t858 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t655 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t67 @t844)) @t857))) % 1.42/1.62 (assume @p747 (forall @t862 (= (tptp.hAPP @t859 @t866) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t861 @t860)))) % 1.42/1.62 (assume @p748 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t843 @t866) @t124) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t855 @t853)))) % 1.42/1.62 (assume @p749 (forall @t499 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t843 @t101) @t25)) @t844) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t101) @t844)))) % 1.42/1.62 (assume @p750 (forall @t847 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t67) @t844) (= @t67 @t839)))) % 1.42/1.62 (assume @p751 (forall @t29 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 (tptp.hAPP (tptp.hAPP @t840 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t26)) @t25)))) % 1.42/1.62 (assume @p752 (forall @t129 (= (tptp.hAPP (tptp.hAPP @t843 @t846) @t124) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t868)))) % 1.42/1.62 (assume @p753 (forall @t139 (= (tptp.hAPP (tptp.hAPP @t843 (tptp.hAPP @t854 @t135)) @t134) (tptp.hAPP @t854 (tptp.hAPP @t852 @t134))))) % 1.42/1.62 (assume @p754 (forall @t205 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t26 @t37) @t335 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t37 @t26)))) % 1.42/1.62 (assume @p755 (forall (@list @t655 @t67) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t67 @t655) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t67 @t655) (not (= @t67 @t655)))))) % 1.42/1.62 (assume @p756 (forall @t129 (= @t868 (tptp.hAPP @t859 @t125)))) % 1.42/1.62 (assume @p757 (forall @t175 (= (tptp.hAPP @t867 @t844) @t125))) % 1.42/1.62 (assume @p758 (forall @t175 (= (tptp.hAPP (tptp.hAPP @t843 @t844) @t125) @t125))) % 1.42/1.62 (assume @p759 (not (= @t839 @t844))) % 1.42/1.62 (assume @p760 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t839 @t844)) % 1.42/1.62 (assume @p761 (forall @t847 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t844 @t67) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t839 @t67)))) % 1.42/1.62 (assume @p762 (forall @t497 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t839 @t195) (= (= (tptp.hAPP (tptp.hAPP @t843 @t195) @t95) @t844) (and (= @t195 @t844) (= @t95 @t844)))))) % 1.42/1.62 (assume @p763 (forall @t132 (=> @t851 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t839 @t130) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t869 @t103) (tptp.hAPP @t869 @t131)))))) % 1.42/1.62 (assume @p764 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t839) @t839)) % 1.42/1.62 (assume @p765 (forall @t175 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t125 @t839) @t125))) % 1.42/1.62 (assume @p766 (forall @t175 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t839 @t125) @t125))) % 1.42/1.62 (assume @p767 (not (= tptp.c_Complex_Oii @t9))) % 1.42/1.62 (assume @p768 (not (= tptp.c_Complex_Oii @t93))) % 1.42/1.62 (assume @p769 (forall @t484 (= (tptp.hAPP @t870 (tptp.hAPP @t870 @t26)) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t26)))) % 1.42/1.62 (assume @p770 (= (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex tptp.c_Complex_Oii) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex tptp.c_Complex_Oii))) % 1.42/1.62 (assume @p771 (= (tptp.hAPP @t870 tptp.c_Complex_Oii) @t227)) % 1.42/1.62 (assume @p772 (forall (@list @t26 @t125 @t367) (=> @t872 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t125 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t26 @t871))))) % 1.42/1.62 (assume @p773 (forall (@list @t125 @t26 @t367) (=> @t872 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t26 @t871) @t125)))) % 1.42/1.62 (assume @p774 (forall @t129 (= @t873 @t848))) % 1.42/1.62 (assume @p775 (forall @t449 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t26 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t37 @t125)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t37 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t26 @t125))))) % 1.42/1.62 (assume @p776 (forall @t139 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t856 @t134) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t137 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t135 @t134))))) % 1.42/1.62 (assume @p777 (forall @t132 (=> @t874 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t130 @t103) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t130 @t131))))) % 1.42/1.62 (assume @p778 (forall @t133 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t124 @t124))) % 1.42/1.62 (assume @p779 (forall @t129 (or @t876 @t875))) % 1.42/1.62 (assume @p780 (forall @t132 (=> @t874 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t131 @t130) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t103 @t130))))) % 1.42/1.62 (assume @p781 (forall @t129 (=> @t876 (=> @t875 @t126)))) % 1.42/1.62 (assume @p782 (forall @t175 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t846) @t125))) % 1.42/1.62 (assume @p783 (forall @t129 (= @t879 @t877))) % 1.42/1.62 (assume @p784 (forall @t129 (= @t877 @t879))) % 1.42/1.62 (assume @p785 (forall @t129 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t873) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t846 @t878)))) % 1.42/1.62 (assume @p786 (forall @t883 (=> @t882 (=> @t881 (=> @t880 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t700 @t844)))))) % 1.42/1.62 (assume @p787 (forall @t883 (=> @t882 (=> @t881 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t76 @t44) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t844 @t700)))))) % 1.42/1.62 (assume @p788 (forall @t896 (=> @t895 (=> @t892 (=> @t890 (=> @t889 (=> @t887 (=> @t886 @t885)))))))) % 1.42/1.62 (assume @p789 (forall @t899 (=> @t898 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t76 @t839) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t117 @t76) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t117 @t888) @t897)))))) % 1.42/1.62 (assume @p790 (forall @t896 (=> @t895 (=> @t901 (=> @t900 (=> @t880 (=> @t887 (=> @t886 @t897)))))))) % 1.42/1.62 (assume @p791 (forall @t899 (=> @t898 (=> @t889 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t888 @t117) (=> @t890 @t885)))))) % 1.42/1.62 (assume @p792 (forall @t902 (=> @t892 (=> @t889 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t884 @t839)))))) % 1.42/1.62 (assume @p793 (forall @t902 (=> @t901 (=> @t900 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t884)))))) % 1.42/1.62 (assume @p794 (forall @t29 (=> @t903 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 (tptp.hAPP @t841 @t25))))) % 1.42/1.62 (assume @p795 (forall @t205 (=> @t903 (=> @t904 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 (tptp.hAPP (tptp.hAPP @t843 @t26) @t37)))))) % 1.42/1.62 (assume @p796 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t839)) % 1.42/1.62 (assume @p797 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t844)) % 1.42/1.62 (assume @p798 (forall @t205 (=> @t903 (=> @t904 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t26 @t37)))))) % 1.42/1.62 (assume @p799 (not (forall @t33 (=> @t32 (not @t31))))) % 1.42/1.62 (assume @p800 (forall @t145 (=> @t905 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t26 @t26)))) % 1.42/1.62 (assume @p801 (forall @t909 (=> @t908 (= @t907 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t115 @t5 @t4)))))) % 1.42/1.62 (assume @p802 (forall @t85 (=> @t912 (or @t911 @t910)))) % 1.42/1.62 (assume @p803 (forall @t144 (=> @t915 (= @t141 (and @t914 @t913))))) % 1.42/1.62 (assume @p804 (forall @t85 (=> @t905 (=> @t335 @t911)))) % 1.42/1.62 (assume @p805 (forall (@list @t65 @t1 @t2 @t34 @t115) (=> @t908 (=> @t907 (tptp.c_Orderings_Oord__class_Oless__eq @t115 (tptp.hAPP @t2 @t65) (tptp.hAPP @t1 @t65)))))) % 1.42/1.62 (assume @p806 (forall @t917 (=> @t915 (=> @t913 @t916)))) % 1.42/1.62 (assume @p807 (forall @t289 (=> @t919 (=> @t118 (=> @t790 @t918))))) % 1.42/1.62 (assume @p808 (forall @t289 (=> @t915 (=> @t118 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t39 @t117) @t920))))) % 1.42/1.62 (assume @p809 (forall @t289 (=> @t919 (=> @t176 (=> @t746 @t918))))) % 1.42/1.62 (assume @p810 (forall @t366 (=> @t915 (=> @t365 (=> @t746 @t920))))) % 1.42/1.62 (assume @p811 (forall @t85 (=> @t915 (=> @t911 (=> @t910 @t335))))) % 1.42/1.62 (assume @p812 (forall @t827 (=> @t905 (=> @t911 (=> @t921 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t26 @t125)))))) % 1.42/1.62 (assume @p813 (forall @t922 (=> @t915 (=> @t910 (=> @t911 @t335))))) % 1.42/1.62 (assume @p814 (forall @t924 (=> @t915 (=> @t910 (=> @t923 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t125 @t26)))))) % 1.42/1.62 (assume @p815 (forall @t85 (=> @t912 (=> (not @t911) @t910)))) % 1.42/1.62 (assume @p816 (forall @t145 (=> @t905 (not (tptp.c_Orderings_Oord__class_Oless @t34 @t26 @t26))))) % 1.42/1.62 (assume @p817 (forall @t144 (=> @t912 (= @t168 (or @t926 @t925))))) % 1.42/1.62 (assume @p818 (forall @t144 (=> @t912 (= @t927 (or @t925 @t141))))) % 1.42/1.62 (assume @p819 (forall @t85 (=> @t912 (or @t333 @t335 @t332)))) % 1.42/1.62 (assume @p820 (forall @t917 (=> @t912 (=> (not @t925) @t928)))) % 1.42/1.62 (assume @p821 (forall @t85 (=> @t912 @t337))) % 1.42/1.62 (assume @p822 (forall @t85 (=> @t915 (=> @t333 @t336)))) % 1.42/1.62 (assume @p823 (forall @t85 (=> @t905 (=> @t333 (not @t332))))) % 1.42/1.62 (assume @p824 (forall @t85 (=> @t915 (=> @t333 (not (= @t37 @t26)))))) % 1.42/1.62 (assume @p825 (forall @t276 (=> @t905 (=> @t210 (not @t395))))) % 1.42/1.62 (assume @p826 (forall @t390 (=> @t915 (=> @t395 (not @t210))))) % 1.42/1.62 (assume @p827 (forall @t289 (=> @t919 (=> @t118 (=> @t314 @t929))))) % 1.42/1.62 (assume @p828 (forall @t289 (=> @t915 (=> @t118 (=> (tptp.c_Orderings_Oord__class_Oless @t34 @t39 @t117) @t930))))) % 1.42/1.62 (assume @p829 (forall @t289 (=> @t919 (=> @t210 (=> @t746 @t929))))) % 1.42/1.62 (assume @p830 (forall @t366 (=> @t915 (=> @t395 (=> @t746 @t930))))) % 1.42/1.62 (assume @p831 (forall @t827 (=> @t905 (=> @t333 @t932)))) % 1.42/1.62 (assume @p832 (forall @t924 (=> @t915 (=> @t332 @t934)))) % 1.42/1.62 (assume @p833 (forall @t85 (=> @t912 (=> @t334 (=> @t336 @t332))))) % 1.42/1.62 (assume @p834 (forall @t144 (=> @t912 (= @t927 @t913)))) % 1.42/1.62 (assume @p835 (forall @t144 (=> @t912 (= (not @t914) @t925)))) % 1.42/1.62 (assume @p836 (forall @t85 (=> @t912 (or @t911 @t332)))) % 1.42/1.62 (assume @p837 (forall @t144 (=> @t915 (= @t926 (and @t914 @t168))))) % 1.42/1.62 (assume @p838 (forall @t144 (=> @t905 (= @t926 (and @t914 (not @t913)))))) % 1.42/1.62 (assume @p839 (forall @t144 (=> @t915 (= @t914 (or @t926 @t141))))) % 1.42/1.62 (assume @p840 (forall @t85 (=> @t912 (=> @t334 @t910)))) % 1.42/1.62 (assume @p841 (forall @t922 (=> @t912 (=> (not @t910) @t333)))) % 1.42/1.62 (assume @p842 (forall @t144 (=> @t912 (=> @t927 @t916)))) % 1.42/1.62 (assume @p843 (forall @t276 (=> @t915 (=> @t935 (=> @t176 @t210))))) % 1.42/1.62 (assume @p844 (forall @t276 (=> @t915 (=> @t935 (=> @t365 @t395))))) % 1.42/1.62 (assume @p845 (forall @t922 (=> @t912 (=> @t910 @t334)))) % 1.42/1.62 (assume @p846 (forall @t85 (=> @t905 (=> @t333 @t911)))) % 1.42/1.62 (assume @p847 (forall @t144 (=> @t912 (=> @t914 @t928)))) % 1.42/1.62 (assume @p848 (forall @t85 (=> @t915 (=> @t911 (or @t333 @t335))))) % 1.42/1.62 (assume @p849 (forall @t276 (=> @t915 (=> @t176 (=> @t935 @t210))))) % 1.42/1.62 (assume @p850 (forall @t390 (=> @t915 (=> @t365 (=> @t935 @t395))))) % 1.42/1.62 (assume @p851 (forall @t827 (=> @t905 (=> @t333 (=> @t921 @t931))))) % 1.42/1.62 (assume @p852 (forall @t924 (=> @t915 (=> @t332 (=> @t923 @t933))))) % 1.42/1.62 (assume @p853 (forall @t827 (=> @t905 (=> @t911 @t932)))) % 1.42/1.62 (assume @p854 (forall @t924 (=> @t915 (=> @t910 @t934)))) % 1.42/1.62 (assume @p855 (exists (@list @t535 @t936) (and (not (= @t936 @t9)) (not (= @t535 @t16)) (exists @t570 (and (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t568 @t535) @t111) @t576) (forall @t15 (= @t654 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t653 (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t656 @t535)) (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t936 @t566)) @t10)))))))))) % 1.42/1.62 (assume @p856 (forall @t484 (=> @t573 (= (tptp.c_RComplete_Onatceiling @t938) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t937 @t111))))) % 1.42/1.62 (assume @p857 (forall @t909 (=> @t908 (= (tptp.c_Orderings_Oord__class_Oless @t906 @t2 @t1) (and @t907 (not (tptp.c_Orderings_Oord__class_Oless__eq @t906 @t1 @t2))))))) % 1.42/1.62 (assume @p858 (= (tptp.c_RComplete_Onatceiling @t7) @t16)) % 1.42/1.62 (assume @p859 (forall @t484 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t16 @t937))) % 1.42/1.62 (assume @p860 (forall @t205 (=> @t448 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t937 (tptp.c_RComplete_Onatceiling @t37))))) % 1.42/1.62 (assume @p861 (= (tptp.c_RComplete_Onatceiling @t8) @t111)) % 1.42/1.62 (assume @p862 (forall @t484 (=> @t939 (= @t937 @t16)))) % 1.42/1.62 (assume @p863 (forall @t804 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t940 @t111) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t65 @t8)))) % 1.42/1.62 (assume @p864 (forall @t197 (=> @t116 (= @t45 (tptp.c_Power_Opower_Opower @t34 @t51 @t48))))) % 1.42/1.62 (assume @p865 (forall @t197 (=> @t201 (exists @t838 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t835) @t836))))) % 1.42/1.62 (assume @p866 (forall (@list @t153 @t942 @t941 @t34) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower @t34 @t941 @t942) @t153) @t16) @t941))) % 1.42/1.62 (assume @p867 (forall (@list @t944 @t943 @t34 @t115) (=> (and (tptp.class_RealVector_Oreal__normed__vector @t115) @t919) (=> (forall @t263 (=> @t947 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t115 (tptp.c_Groups_Ominus__class_Ominus @t115 @t945 @t946)) @t8))) (forall @t263 (=> @t947 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t115 @t946) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t8 (tptp.c_RealVector_Onorm__class_Onorm @t115 @t945))))))))) % 1.42/1.62 (assume @p868 (forall @t197 (=> @t82 (exists @t838 (and @t837 (forall (@list @t936 @t948) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t34 (tptp.hAPP (tptp.hAPP @t48 @t936) @t948)) (tptp.hAPP (tptp.hAPP @t19 (tptp.hAPP (tptp.hAPP @t19 (tptp.c_RealVector_Onorm__class_Onorm @t34 @t936)) (tptp.c_RealVector_Onorm__class_Onorm @t34 @t948))) @t835)))))))) % 1.42/1.62 (assume @p869 (forall @t148 (=> @t82 (exists @t838 (and @t837 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t34 (tptp.hAPP (tptp.hAPP @t48 @t3) @t37)) @t949))))))) % 1.42/1.62 (assume @p870 (forall @t145 (=> @t82 (exists @t838 (and @t837 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t34 (tptp.hAPP @t77 @t3)) @t949))))))) % 1.42/1.62 (assume @p871 (not (forall @t570 (=> @t569 (not @t567))))) % 1.42/1.62 (assume @p872 (forall @t484 (=> @t573 (= (tptp.c_RComplete_Onatfloor @t938) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t950 @t111))))) % 1.42/1.62 (assume @p873 (= (tptp.c_RComplete_Onatfloor @t8) @t111)) % 1.42/1.62 (assume @p874 (= (tptp.c_RComplete_Onatfloor @t7) @t16)) % 1.42/1.62 (assume @p875 (forall @t205 (=> @t448 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t950 (tptp.c_RComplete_Onatfloor @t37))))) % 1.42/1.62 (assume @p876 (forall @t484 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t16 @t950))) % 1.42/1.62 (assume @p877 (forall @t484 (=> @t939 (= @t950 @t16)))) % 1.42/1.62 (assume @p878 (forall @t804 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t111 @t951) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t65)))) % 1.42/1.62 (assume @p879 (forall (@list @t117 @t44) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t44) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t117) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 @t952) (tptp.c_RComplete_Onatfloor @t117)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t19 @t44) @t117))))))) % 1.42/1.62 (assume @p880 (forall @t956 (and @t955 (=> (not @t954) (= @t953 @t839))))) % 1.42/1.62 (assume @p881 (forall @t449 (=> @t958 @t957))) % 1.42/1.62 (assume @p882 (forall @t205 (=> @t903 (=> @t904 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t839 @t953))))) % 1.42/1.62 (assume @p883 (forall @t956 @t955)) % 1.42/1.62 (assume @p884 (forall @t449 (=> @t495 @t959))) % 1.42/1.62 (assume @p885 (forall @t960 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t26 @t125) @t959))) % 1.42/1.62 (assume @p886 (forall @t205 (=> @t495 @t958))) % 1.42/1.62 (assume @p887 (forall @t960 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t26 @t125) @t957))) % 1.42/1.62 (assume @p888 (forall @t963 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t961 @t26) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t26 @t962) (= @t937 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t111)))))) % 1.42/1.62 (assume @p889 (forall @t738 (=> @t233 (= (tptp.c_Polynomial_Opos__poly @t34 @t715) (or (tptp.c_Polynomial_Opos__poly @t34 @t470) (and @t471 @t666)))))) % 1.42/1.62 (assume @p890 (forall @t408 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t961))) % 1.42/1.62 (assume @p891 (forall @t494 (=> @t506 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t586) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t964 @t961))))) % 1.42/1.62 (assume @p892 (forall @t603 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t966 @t965) @t489))) % 1.42/1.62 (assume @p893 (forall @t408 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t961 @t7)))) % 1.42/1.62 (assume @p894 (forall @t499 (= @t968 @t967))) % 1.42/1.62 (assume @p895 (forall @t499 (= @t967 @t968))) % 1.42/1.62 (assume @p896 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t16) @t7)) % 1.42/1.62 (assume @p897 (forall @t511 (= (= @t966 @t7) @t96))) % 1.42/1.62 (assume @p898 (forall @t499 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t108) (tptp.hAPP (tptp.hAPP @t19 @t964) @t961)))) % 1.42/1.62 (assume @p899 (forall @t197 (=> @t233 (not (tptp.c_Polynomial_Opos__poly @t34 @t469))))) % 1.42/1.62 (assume @p900 (forall @t484 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t969) @t969))) % 1.42/1.62 (assume @p901 (forall @t972 (=> @t233 (=> @t971 (=> @t970 (tptp.c_Polynomial_Opos__poly @t34 @t721)))))) % 1.42/1.62 (assume @p902 (forall @t603 (= (= @t966 @t965) (= @t95 @t195)))) % 1.42/1.62 (assume @p903 (forall @t499 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t322) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t964 @t961)))) % 1.42/1.62 (assume @p904 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t111) @t8)) % 1.42/1.62 (assume @p905 (forall @t972 (=> @t233 (=> @t971 (=> @t970 (tptp.c_Polynomial_Opos__poly @t34 @t704)))))) % 1.42/1.62 (assume @p906 (forall @t511 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t966 @t7) @t96))) % 1.42/1.62 (assume @p907 (forall @t484 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t26 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t937)))) % 1.42/1.62 (assume @p908 (forall @t603 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t966 @t965) @t973))) % 1.42/1.62 (assume @p909 (forall @t144 (=> @t233 (= (tptp.c_Orderings_Oord__class_Oless__eq @t468 @t65 @t64) (or @t141 @t974))))) % 1.42/1.62 (assume @p910 (forall @t408 (= (tptp.c_RComplete_Onatceiling @t961) @t25))) % 1.42/1.62 (assume @p911 (forall @t408 (= (tptp.c_RComplete_Onatfloor @t961) @t25))) % 1.42/1.62 (assume @p912 (forall @t484 (=> @t573 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t975 @t26)))) % 1.42/1.62 (assume @p913 (forall @t976 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t969 @t44) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t26 @t952)))) % 1.42/1.62 (assume @p914 (forall @t976 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t26 @t977) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t937 @t44)))) % 1.42/1.62 (assume @p915 (forall @t29 (=> (= @t26 @t975) (= (tptp.c_RComplete_Onatfloor @t27) (tptp.hAPP (tptp.hAPP @t98 @t950) @t25))))) % 1.42/1.62 (assume @p916 (forall @t511 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t966) @t510))) % 1.42/1.62 (assume @p917 (forall @t603 (= @t489 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t966 @t8) @t965)))) % 1.42/1.62 (assume @p918 (forall @t603 (= @t973 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t966 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t965 @t8))))) % 1.42/1.62 (assume @p919 (forall @t429 (=> @t979 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t153 @t951) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t978 @t65))))) % 1.42/1.62 (assume @p920 (forall @t710 (=> @t233 (or @t682 @t971 (tptp.c_Polynomial_Opos__poly @t34 @t725))))) % 1.42/1.62 (assume @p921 (forall @t429 (=> @t979 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t940 @t153) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t65 @t978))))) % 1.42/1.62 (assume @p922 (forall @t484 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t26 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t975 @t8)))) % 1.42/1.62 (assume @p923 (forall @t982 (=> @t981 (= (tptp.c_RComplete_Onatfloor @t980) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t950 @t44))))) % 1.42/1.62 (assume @p924 (forall @t484 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t26 @t8) @t975))) % 1.42/1.62 (assume @p925 (forall @t982 (=> @t981 (= (tptp.c_RComplete_Onatceiling @t980) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t937 @t44))))) % 1.42/1.62 (assume @p926 (forall @t29 (=> @t573 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t26 @t961) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t950 @t25))))) % 1.42/1.62 (assume @p927 (forall @t976 (=> @t573 (= (tptp.c_RComplete_Onatfloor @t983) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t950 @t44))))) % 1.42/1.62 (assume @p928 (forall (@list @t25 @t125) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_RComplete_Onatfloor @t125) @t111) @t25) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t125 @t961)))) % 1.42/1.62 (assume @p929 (forall @t963 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t961 @t26) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t26 @t962) (= @t950 @t25))))) % 1.42/1.62 (assume @p930 (forall @t976 (=> @t573 (= (tptp.c_RComplete_Onatceiling @t983) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t937 @t44))))) % 1.42/1.62 (assume @p931 (forall @t144 (=> @t233 (= (tptp.c_Orderings_Oord__class_Oless @t468 @t65 @t64) @t974)))) % 1.42/1.62 (assume @p932 (forall @t29 (=> @t573 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t19 @t961) @t26) @t8) (tptp.hAPP (tptp.hAPP @t17 @t938) @t25))))) % 1.42/1.62 (assume @p933 (forall @t578 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t76) (exists @t263 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t260 @t111)) @t76) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t76 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t260))))))) % 1.42/1.62 (assume @p934 (forall @t276 (=> @t658 (= (tptp.c_Groups_Ominus__class_Ominus @t34 @t277 @t272) @t785)))) % 1.42/1.62 (assume @p935 (forall (@list @t944 @t34) (=> @t915 (= (tptp.c_SEQ_Odecseq @t34 @t944) (forall (@list @t30 @t260) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t30 @t260) (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t946 (tptp.hAPP @t944 @t30)))))))) % 1.42/1.62 (assume @p936 (forall (@list @t677 @t125 @t290) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t290) (exists @t628 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t625) (forall @t256 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t985) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t985 @t625)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex (tptp.hAPP @t984 @t254) (tptp.hAPP @t984 @t125))) @t290)))))))) % 1.42/1.62 (assume @p937 (forall @t85 (=> @t986 (=> @t911 (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t833 @t296))))) % 1.42/1.62 (assume @p938 (forall @t144 (=> @t986 (= (tptp.c_Orderings_Oord__class_Oless__eq @t34 @t265 @t987) @t913)))) % 1.42/1.62 (assume @p939 (forall (@list @t65 @t988 @t989 @t115 @t34) (=> (tptp.class_Groups_Ominus @t34) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t991 @t989 @t988) @t65) (tptp.c_Groups_Ominus__class_Ominus @t34 @t990 (tptp.hAPP @t988 @t65)))))) % 1.42/1.62 (assume @p940 (forall @t276 (=> @t992 (= (tptp.hAPP @t49 @t162) @t162)))) % 1.42/1.62 (assume @p941 (forall @t145 (=> @t992 (= @t478 @t26)))) % 1.42/1.62 (assume @p942 (forall @t112 (=> @t992 (= @t343 @t44)))) % 1.42/1.62 (assume @p943 (forall @t144 (=> @t986 (= (= @t265 @t987) @t141)))) % 1.42/1.62 (assume @p944 (forall (@list @t65 @t989 @t115 @t34) (=> (tptp.class_Groups_Ouminus @t34) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t991 @t989) @t65) (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t990))))) % 1.42/1.62 (assume @p945 (forall @t145 (=> @t986 (= (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t296) @t26)))) % 1.42/1.62 (assume @p946 (forall @t197 (=> @t201 (exists @t838 @t836)))) % 1.42/1.62 (assume @p947 (forall @t145 (=> @t233 (and (=> @t995 (= @t993 @t469)) (=> (not @t995) (and (=> @t994 (= @t993 @t730)) (=> (not @t994) (= @t993 (tptp.c_Groups_Ouminus__class_Ouminus @t468 @t730))))))))) % 1.42/1.62 (assume @p948 (forall @t311 (=> @t233 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t996 @t35) @t309)))) % 1.42/1.62 (assume @p949 (forall @t311 (=> @t233 (= (tptp.c_Orderings_Oord__class_Oless @t34 @t35 @t996) @t666)))) % 1.42/1.62 (assume @p950 (forall @t145 (=> @t233 (= (tptp.hAPP @t998 (tptp.c_Groups_Oabs__class_Oabs @t34 @t26)) @t26)))) % 1.42/1.62 (assume @p951 (forall (@list @t130 @t34) (=> @t233 (= @t999 (tptp.hAPP (tptp.hAPP @t48 @t130) (tptp.c_Groups_Osgn__class_Osgn @t34 @t130)))))) % 1.42/1.62 (assume @p952 (forall @t89 (=> @t43 (= (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t65) @t35) @t86)))) % 1.42/1.62 (assume @p953 (forall @t197 (=> @t43 @t1000))) % 1.42/1.62 (assume @p954 (forall @t311 (=> @t233 (= (= @t996 @t35) @t154)))) % 1.42/1.62 (assume @p955 (forall @t276 (=> @t233 (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t162) (tptp.hAPP (tptp.hAPP @t48 @t1001) (tptp.c_Groups_Osgn__class_Osgn @t34 @t117)))))) % 1.42/1.62 (assume @p956 (forall @t85 (=> @t198 (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t78) (tptp.hAPP @t998 (tptp.c_Groups_Osgn__class_Osgn @t34 @t37)))))) % 1.42/1.62 (assume @p957 (forall @t197 (=> @t1002 @t1000))) % 1.42/1.62 (assume @p958 (forall @t112 (=> @t233 (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t1001) @t1001)))) % 1.42/1.62 (assume @p959 (forall @t602 (=> @t62 (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t601) (tptp.c_RealVector_Oof__real @t34 (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t76)))))) % 1.42/1.62 (assume @p960 (forall @t197 (=> @t62 (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t51) @t51)))) % 1.42/1.62 (assume @p961 (forall @t145 (=> @t43 (= (tptp.c_Groups_Osgn__class_Osgn @t34 @t296) (tptp.c_Groups_Ouminus__class_Ouminus @t34 @t997))))) % 1.42/1.62 (assume @p962 (forall @t112 (=> @t233 (=> @t53 (= @t1001 @t51))))) % 1.42/1.62 (assume @p963 (forall @t311 (=> @t233 (= (= @t996 @t51) @t666)))) % 1.42/1.62 (assume @p964 (forall @t112 (=> @t233 (=> @t391 (= @t1001 @t316))))) % 1.42/1.62 (assume @p965 (forall @t311 (=> @t233 (= (= @t996 @t316) @t309)))) % 1.42/1.62 (assume @p966 (forall @t145 (=> @t1002 (and (=> @t36 (= @t997 @t35)) (=> @t1004 (and (=> @t1003 (= @t997 @t51)) (=> (not @t1003) (= @t997 @t316)))))))) % 1.42/1.62 (assume @p967 (forall @t145 (=> @t43 (and (=> @t36 (= @t1005 @t7)) (=> @t1004 (= @t1005 @t8)))))) % 1.42/1.62 (assume @p968 (forall @t726 (=> @t284 (tptp.c_Rings_Odvd__class_Odvd @t468 (tptp.hAPP (tptp.hAPP @t733 (tptp.c_Polynomial_OpCons @t34 @t277 @t739)) (tptp.c_Polynomial_Oorder @t34 @t44 @t677)) @t677)))) % 1.42/1.62 (assume @p969 (forall (@list @t1006 @t677 @t44 @t34) (=> @t685 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t34 @t683 @t1006) (tptp.c_Groups_Oplus__class_Oplus @t468 (tptp.c_Polynomial_Osmult @t34 @t1006 @t1007) (tptp.c_Polynomial_OpCons @t34 @t44 @t1007)))))) % 1.42/1.62 (assume @p970 (forall @t112 (=> @t705 (tptp.c_Rings_Odvd__class_Odvd @t34 @t44 @t35)))) % 1.42/1.62 (assume @p971 (forall @t144 (=> @t727 (= (tptp.c_Rings_Odvd__class_Odvd @t34 @t265 @t64) @t1008)))) % 1.42/1.62 (assume @p972 (forall @t144 (=> @t727 (= (tptp.c_Rings_Odvd__class_Odvd @t34 @t65 @t987) @t1008)))) % 1.42/1.62 (assume @p973 (forall @t827 (=> @t727 (=> @t1009 (=> (tptp.c_Rings_Odvd__class_Odvd @t34 @t26 @t125) (tptp.c_Rings_Odvd__class_Odvd @t34 @t26 (tptp.c_Groups_Ominus__class_Ominus @t34 @t37 @t125))))))) % 1.42/1.62 (assume @p974 (forall (@list @t1010 @t1011 @t457 @t34) (=> (and @t719 @t1012) (=> (tptp.c_Rings_Odvd__class_Odvd @t34 @t457 @t1011) (forall (@list @t3 @t535) (= (tptp.c_Rings_Odvd__class_Odvd @t34 @t457 (tptp.c_Groups_Oplus__class_Oplus @t34 @t3 @t1010)) (tptp.c_Rings_Odvd__class_Odvd @t34 @t457 (tptp.c_Groups_Oplus__class_Oplus @t34 (tptp.c_Groups_Ominus__class_Ominus @t34 @t3 (tptp.hAPP (tptp.hAPP @t48 @t535) @t1011)) @t1010)))))))) % 1.42/1.62 (assume @p975 (forall (@list @t262 @t487 @t34) (=> (and @t1012 @t183) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t487 (tptp.hAPP (tptp.hAPP @t48 @t262) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t34 @t262 (tptp.c_Groups_Oplus__class_Oplus @t34 @t3 @t35)) (tptp.hBOOL (tptp.hAPP @t487 @t3)))))))) % 1.42/1.62 (assume @p976 (forall @t112 (=> @t705 (tptp.c_Rings_Odvd__class_Odvd @t34 @t51 @t44)))) % 1.42/1.62 (assume @p977 (forall @t289 (=> @t705 (=> @t1014 (=> @t1013 (tptp.c_Rings_Odvd__class_Odvd @t34 @t44 @t755)))))) % 1.42/1.62 (assume @p978 (forall (@list @t1015 @t470 @t34) (=> @t685 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t34 @t470 @t1015) @t469) @t471)))) % 1.42/1.62 (assume @p979 (forall (@list @t1006 @t34) (=> @t685 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t34 @t469 @t1006) @t469)))) % 1.42/1.62 (assume @p980 (forall @t720 (=> @t705 (=> (tptp.c_Rings_Odvd__class_Odvd @t468 @t717 @t700) @t1016)))) % 1.42/1.62 (assume @p981 (forall (@list @t44 @t700 @t677 @t34) (=> @t705 (=> @t1016 (tptp.c_Rings_Odvd__class_Odvd @t468 @t677 @t716))))) % 1.42/1.62 (assume @p982 (forall @t112 (=> @t705 (tptp.c_Rings_Odvd__class_Odvd @t34 @t44 @t44)))) % 1.42/1.62 (assume @p983 (forall @t289 (=> @t705 (=> @t1014 (=> @t1017 @t1013))))) % 1.42/1.62 (assume @p984 (forall @t1019 (=> @t233 (= (tptp.c_Rings_Odvd__class_Odvd @t34 @t195 (tptp.c_Groups_Oabs__class_Oabs @t34 @t261)) @t1018)))) % 1.42/1.62 (assume @p985 (forall @t1019 (=> @t233 (= (tptp.c_Rings_Odvd__class_Odvd @t34 (tptp.c_Groups_Oabs__class_Oabs @t34 @t195) @t261) @t1018)))) % 1.42/1.62 (assume @p986 (forall (@list @t130 @t524 @t34) (=> @t233 (=> (= (tptp.c_Groups_Oabs__class_Oabs @t34 @t524) @t999) (tptp.c_Rings_Odvd__class_Odvd @t34 @t524 @t130))))) % 1.42/1.62 (assume @p987 (forall (@list @t25 @t37 @t26 @t34) (=> @t705 (=> @t1009 (tptp.c_Rings_Odvd__class_Odvd @t34 @t60 (tptp.hAPP @t830 @t25)))))) % 1.42/1.62 (assume @p988 (forall @t289 (=> @t705 (=> (tptp.c_Rings_Odvd__class_Odvd @t34 @t162 @t39) @t1017)))) % 1.42/1.62 (assume @p989 (forall @t1023 (=> @t1022 (tptp.class_Groups_Ocancel__comm__monoid__add @t1021)))) % 1.42/1.62 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p991 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p992 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p993 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p994 (forall @t1026 (=> (tptp.class_Lattices_Oboolean__algebra @t1020) (tptp.class_Lattices_Oboolean__algebra @t1025)))) % 1.42/1.62 (assume @p995 (forall @t1026 (=> (tptp.class_Orderings_Opreorder @t1020) (tptp.class_Orderings_Opreorder @t1025)))) % 1.42/1.62 (assume @p996 (forall @t1026 (=> (tptp.class_Orderings_Oorder @t1020) (tptp.class_Orderings_Oorder @t1025)))) % 1.42/1.62 (assume @p997 (forall @t1026 (=> (tptp.class_Orderings_Oord @t1020) (tptp.class_Orderings_Oord @t1025)))) % 1.42/1.62 (assume @p998 (forall @t1026 (=> (tptp.class_Groups_Ouminus @t1020) (tptp.class_Groups_Ouminus @t1025)))) % 1.42/1.62 (assume @p999 (forall @t1026 (=> (tptp.class_Groups_Ominus @t1020) (tptp.class_Groups_Ominus @t1025)))) % 1.42/1.62 (assume @p1000 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1001 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1002 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1003 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1004 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1005 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1006 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1007 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1008 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1009 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1010 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1011 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1012 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1013 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1014 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1015 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1016 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1017 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1018 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1019 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1020 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1021 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1022 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1023 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1024 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1025 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1026 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1027 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1028 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1029 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1030 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1031 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1032 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1033 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1034 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1035 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1036 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1037 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1038 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1039 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1040 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1041 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1042 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1043 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1044 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1045 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1046 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1047 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1048 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1049 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1050 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1051 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1052 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1053 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1054 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1055 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1056 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1057 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1058 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1059 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.42/1.62 (assume @p1060 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1061 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1062 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1063 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1064 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1065 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1066 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1067 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1068 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1069 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1070 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1071 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1072 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1073 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1074 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1075 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1076 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1077 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1078 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1079 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1080 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1081 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1082 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1083 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1084 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1085 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1086 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1087 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1088 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1089 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1090 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1091 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1092 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1093 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1094 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1095 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1096 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.42/1.62 (assume @p1097 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.42/1.62 (assume @p1098 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.42/1.62 (assume @p1099 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.42/1.62 (assume @p1100 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.42/1.62 (assume @p1101 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.42/1.62 (assume @p1102 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.42/1.62 (assume @p1103 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1104 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1105 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1106 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1107 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1108 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1109 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1110 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1111 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1112 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1113 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1114 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1115 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1116 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1117 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1118 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1119 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1120 @t1027) % 1.42/1.62 (assume @p1121 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1122 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1123 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1124 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1125 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1126 (tptp.class_RealVector_Oreal__div__algebra tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1127 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1128 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1129 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1130 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1131 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1132 @t1028) % 1.42/1.62 (assume @p1133 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1134 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1135 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1136 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1137 @t1029) % 1.42/1.62 (assume @p1138 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1139 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1140 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1141 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1142 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1143 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1144 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1145 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1146 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1147 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1148 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1149 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1150 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1151 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1152 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1153 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1154 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1155 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1156 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1157 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1158 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1159 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1160 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1161 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1162 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1163 (tptp.class_Groups_Ouminus tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1164 (tptp.class_Groups_Osgn__if tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1165 (tptp.class_Groups_Oabs__if tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1166 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1167 (tptp.class_Groups_Ominus tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1168 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1169 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1170 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1171 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1172 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1173 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1174 (tptp.class_Rings_Odvd tptp.tc_RealDef_Oreal)) % 1.42/1.62 (assume @p1175 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1176 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1177 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1178 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1179 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1180 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1181 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1182 @t1030) % 1.42/1.62 (assume @p1183 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1184 (tptp.class_RealVector_Oreal__div__algebra tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1185 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1186 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1187 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1188 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1189 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1190 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1191 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1192 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1193 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1194 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1195 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1196 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1197 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1198 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1199 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1200 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1201 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1202 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1203 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1204 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1205 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1206 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1207 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1208 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1209 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1210 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1211 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1212 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1213 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1214 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1215 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1216 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1217 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 1.42/1.62 (assume @p1218 (forall @t1023 (=> @t1031 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1021)))) % 1.42/1.62 (assume @p1219 (forall @t1023 (=> @t1032 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1021)))) % 1.42/1.62 (assume @p1220 (forall @t1023 (=> @t1032 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1021)))) % 1.42/1.62 (assume @p1221 (forall @t1023 (=> @t1032 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1021)))) % 1.42/1.62 (assume @p1222 (forall @t1023 (=> @t1032 (tptp.class_Rings_Olinordered__semiring__1__strict @t1021)))) % 1.42/1.62 (assume @p1223 (forall @t1023 (=> @t1032 (tptp.class_Rings_Olinordered__semiring__strict @t1021)))) % 1.42/1.62 (assume @p1224 (forall @t1023 (=> @t1032 (tptp.class_Groups_Oordered__ab__semigroup__add @t1021)))) % 1.42/1.62 (assume @p1225 (forall @t1023 (=> @t1032 (tptp.class_Groups_Oordered__ab__group__add__abs @t1021)))) % 1.42/1.62 (assume @p1226 (forall @t1023 (=> @t1032 (tptp.class_Groups_Oordered__comm__monoid__add @t1021)))) % 1.42/1.62 (assume @p1227 (forall @t1023 (=> @t1032 (tptp.class_Groups_Olinordered__ab__group__add @t1021)))) % 1.42/1.62 (assume @p1228 (forall @t1023 (=> @t1022 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1021)))) % 1.42/1.62 (assume @p1229 (forall @t1023 (=> @t1031 (tptp.class_Rings_Oring__1__no__zero__divisors @t1021)))) % 1.42/1.62 (assume @p1230 (forall @t1023 (=> @t1032 (tptp.class_Rings_Oordered__cancel__semiring @t1021)))) % 1.42/1.62 (assume @p1231 (forall @t1023 (=> @t1032 (tptp.class_Rings_Olinordered__ring__strict @t1021)))) % 1.42/1.62 (assume @p1232 (forall @t1023 (=> @t1031 (tptp.class_Rings_Oring__no__zero__divisors @t1021)))) % 1.42/1.62 (assume @p1233 (forall @t1023 (=> @t1032 (tptp.class_Rings_Oordered__comm__semiring @t1021)))) % 1.42/1.62 (assume @p1234 (forall @t1023 (=> @t1032 (tptp.class_Rings_Olinordered__semiring__1 @t1021)))) % 1.42/1.62 (assume @p1235 (forall @t1023 (=> @t1032 (tptp.class_Groups_Oordered__ab__group__add @t1021)))) % 1.42/1.62 (assume @p1236 (forall @t1023 (=> @t1022 (tptp.class_Groups_Ocancel__semigroup__add @t1021)))) % 1.42/1.62 (assume @p1237 (forall @t1023 (=> @t1032 (tptp.class_Rings_Olinordered__semiring @t1021)))) % 1.42/1.62 (assume @p1238 (forall @t1023 (=> @t1032 (tptp.class_Rings_Olinordered__semidom @t1021)))) % 1.42/1.62 (assume @p1239 (forall @t1023 (=> @t1033 (tptp.class_Groups_Oab__semigroup__mult @t1021)))) % 1.42/1.62 (assume @p1240 (forall @t1023 (=> @t1034 (tptp.class_Groups_Ocomm__monoid__mult @t1021)))) % 1.42/1.62 (assume @p1241 (forall @t1023 (=> @t1035 (tptp.class_Groups_Oab__semigroup__add @t1021)))) % 1.42/1.62 (assume @p1242 (forall @t1023 (=> @t1032 (tptp.class_Rings_Oordered__semiring @t1021)))) % 1.42/1.62 (assume @p1243 (forall @t1023 (=> @t1032 (tptp.class_Rings_Oordered__ring__abs @t1021)))) % 1.42/1.62 (assume @p1244 (forall @t1023 (=> @t1031 (tptp.class_Rings_Ono__zero__divisors @t1021)))) % 1.42/1.62 (assume @p1245 (forall @t1023 (=> @t1035 (tptp.class_Groups_Ocomm__monoid__add @t1021)))) % 1.42/1.62 (assume @p1246 (forall @t1023 (=> @t1032 (tptp.class_Rings_Olinordered__ring @t1021)))) % 1.42/1.62 (assume @p1247 (forall @t1023 (=> @t1032 (tptp.class_Rings_Olinordered__idom @t1021)))) % 1.42/1.62 (assume @p1248 (forall @t1023 (=> @t1034 (tptp.class_Rings_Ocomm__semiring__1 @t1021)))) % 1.42/1.62 (assume @p1249 (forall @t1023 (=> @t1033 (tptp.class_Rings_Ocomm__semiring__0 @t1021)))) % 1.42/1.62 (assume @p1250 (forall @t1023 (=> @t1033 (tptp.class_Rings_Ocomm__semiring @t1021)))) % 1.42/1.62 (assume @p1251 (forall @t1023 (=> @t1036 (tptp.class_Groups_Oab__group__add @t1021)))) % 1.42/1.62 (assume @p1252 (forall @t1023 (=> @t1034 (tptp.class_Rings_Ozero__neq__one @t1021)))) % 1.42/1.62 (assume @p1253 (forall @t1023 (=> @t1032 (tptp.class_Rings_Oordered__ring @t1021)))) % 1.42/1.62 (assume @p1254 (forall @t1023 (=> @t1032 (tptp.class_Orderings_Opreorder @t1021)))) % 1.42/1.62 (assume @p1255 (forall @t1023 (=> @t1032 (tptp.class_Orderings_Olinorder @t1021)))) % 1.42/1.62 (assume @p1256 (forall @t1023 (=> @t1034 (tptp.class_Groups_Omonoid__mult @t1021)))) % 1.42/1.62 (assume @p1257 (forall @t1023 (=> @t1037 (tptp.class_Rings_Ocomm__ring__1 @t1021)))) % 1.42/1.62 (assume @p1258 (forall @t1023 (=> @t1035 (tptp.class_Groups_Omonoid__add @t1021)))) % 1.42/1.62 (assume @p1259 (forall @t1023 (=> @t1033 (tptp.class_Rings_Osemiring__0 @t1021)))) % 1.42/1.62 (assume @p1260 (forall @t1023 (=> @t1036 (tptp.class_Groups_Ogroup__add @t1021)))) % 1.42/1.62 (assume @p1261 (forall @t1023 (=> @t1033 (tptp.class_Rings_Omult__zero @t1021)))) % 1.42/1.62 (assume @p1262 (forall @t1023 (=> @t1038 (tptp.class_Rings_Ocomm__ring @t1021)))) % 1.42/1.62 (assume @p1263 (forall @t1023 (=> @t1032 (tptp.class_Orderings_Oorder @t1021)))) % 1.42/1.62 (assume @p1264 (forall @t1023 (=> @t1032 (tptp.class_Int_Oring__char__0 @t1021)))) % 1.42/1.62 (assume @p1265 (forall @t1023 (=> @t1033 (tptp.class_Rings_Osemiring @t1021)))) % 1.42/1.62 (assume @p1266 (forall @t1023 (=> @t1032 (tptp.class_Orderings_Oord @t1021)))) % 1.42/1.62 (assume @p1267 (forall @t1023 (=> @t1036 (tptp.class_Groups_Ouminus @t1021)))) % 1.42/1.62 (assume @p1268 (forall @t1023 (=> @t1032 (tptp.class_Groups_Osgn__if @t1021)))) % 1.42/1.62 (assume @p1269 (forall @t1023 (=> @t1032 (tptp.class_Groups_Oabs__if @t1021)))) % 1.42/1.62 (assume @p1270 (forall @t1023 (=> @t1037 (tptp.class_Rings_Oring__1 @t1021)))) % 1.42/1.62 (assume @p1271 (forall @t1023 (=> @t1036 (tptp.class_Groups_Ominus @t1021)))) % 1.42/1.62 (assume @p1272 (forall @t1023 (=> @t1034 (tptp.class_Power_Opower @t1021)))) % 1.42/1.62 (assume @p1273 (forall @t1023 (=> (tptp.class_Groups_Ozero @t1020) (tptp.class_Groups_Ozero @t1021)))) % 1.42/1.62 (assume @p1274 (forall @t1023 (=> @t1038 (tptp.class_Rings_Oring @t1021)))) % 1.42/1.62 (assume @p1275 (forall @t1023 (=> @t1031 (tptp.class_Rings_Oidom @t1021)))) % 1.42/1.62 (assume @p1276 (forall @t1023 (=> @t1034 (tptp.class_Groups_Oone @t1021)))) % 1.42/1.62 (assume @p1277 (forall @t1023 (=> @t1034 (tptp.class_Rings_Odvd @t1021)))) % 1.42/1.62 (assume @p1278 (= @t222 (tptp.hAPP @t219 (tptp.hAPP @t21 @t1042)))) % 1.42/1.62 (assume @p1279 @t1043) % 1.42/1.62 (assume @p1280 (not @t1044)) % 1.42/1.62 (assume @p1281 true) % 1.42/1.62 (step @p1282 :rule aci_norm :args ((= (or @t1047 @t1048) (or @t1047 @t1046 @t1045 @t350)))) % 1.42/1.62 (step @p1283 :rule aci_norm :args ((= (or @t1046 (or @t1045 @t350)) @t1048))) % 1.42/1.62 (step @p1284 :rule bool-impl-elim :args (@t120 @t350)) % 1.42/1.62 (step @p1285 :rule refl :args (@t1046)) % 1.42/1.62 (step @p1286 :rule nary_cong :premises (@p1285 @p1284) :args ((or @t1046 @t351))) % 1.42/1.62 (step @p1287 :rule trans :premises (@p1286 @p1283)) % 1.42/1.62 (step @p1288 :rule bool-impl-elim :args (@t121 @t351)) % 1.42/1.62 (step @p1289 :rule trans :premises (@p1288 @p1287)) % 1.42/1.62 (step @p1290 :rule refl :args (@t1047)) % 1.42/1.62 (step @p1291 :rule nary_cong :premises (@p1290 @p1289) :args ((or @t1047 @t352))) % 1.42/1.62 (step @p1292 :rule trans :premises (@p1291 @p1282)) % 1.42/1.62 (step @p1293 :rule bool-impl-elim :args (@t353 @t352)) % 1.42/1.62 (step @p1294 :rule trans :premises (@p1293 @p1292)) % 1.42/1.62 (step @p1295 :rule cong :premises (@p1294) :args (@t354)) % 1.42/1.62 (step @p1296 :rule eq_resolve :premises (@p150 @p1295)) % 1.42/1.62 (step @p1297 :rule instantiate :premises (@p1296) :args ((@list @t1039 @t13 tptp.tc_RealDef_Oreal))) % 1.42/1.62 (step @p1298 :rule aci_norm :args ((= (or @t1051 @t1052) (or @t1051 @t1050 @t1049 @t239)))) % 1.42/1.62 (step @p1299 :rule aci_norm :args ((= (or @t1050 (or @t1049 @t239)) @t1052))) % 1.42/1.62 (step @p1300 :rule bool-impl-elim :args (@t247 @t239)) % 1.42/1.62 (step @p1301 :rule refl :args (@t1050)) % 1.42/1.62 (step @p1302 :rule nary_cong :premises (@p1301 @p1300) :args ((or @t1050 @t361))) % 1.42/1.62 (step @p1303 :rule trans :premises (@p1302 @p1299)) % 1.42/1.62 (step @p1304 :rule bool-impl-elim :args (@t176 @t361)) % 1.42/1.62 (step @p1305 :rule trans :premises (@p1304 @p1303)) % 1.42/1.62 (step @p1306 :rule refl :args (@t1051)) % 1.42/1.62 (step @p1307 :rule nary_cong :premises (@p1306 @p1305) :args ((or @t1051 @t362))) % 1.42/1.62 (step @p1308 :rule trans :premises (@p1307 @p1298)) % 1.42/1.62 (step @p1309 :rule bool-impl-elim :args (@t360 @t362)) % 1.42/1.62 (step @p1310 :rule trans :premises (@p1309 @p1308)) % 1.42/1.62 (step @p1311 :rule cong :premises (@p1310) :args (@t363)) % 1.42/1.62 (step @p1312 :rule eq_resolve :premises (@p156 @p1311)) % 1.42/1.62 (step @p1313 :rule instantiate :premises (@p1312) :args ((@list @t1040 tptp.v_m____ @t215 tptp.tc_RealDef_Oreal))) % 1.42/1.62 (step @p1314 :rule cnf_or_pos :args (@t1057)) % 1.42/1.62 (step @p1315 :rule reordering :premises (@p1314) :args ((or @t1044 @t1056 @t1055 @t1054 (not @t1057)))) % 1.42/1.62 (step @p1316 :rule chain_m_resolution :premises (@p1315 @p1280 @p1137 @p1279 @p1313) :args (@t1054 (@list true false false false) (@list @t1044 @t1029 @t1043 @t1057))) % 1.42/1.62 (step @p1317 :rule bool-impl-elim :args (@t43 @t206)) % 1.42/1.62 (step @p1318 :rule cong :premises (@p1317) :args (@t207)) % 1.42/1.62 (step @p1319 :rule eq_resolve :premises (@p77 @p1318)) % 1.42/1.62 (step @p1320 :rule instantiate :premises (@p1319) :args ((@list tptp.v_w____ tptp.tc_Complex_Ocomplex))) % 1.42/1.62 (step @p1321 :rule cnf_or_pos :args (@t1060)) % 1.42/1.62 (step @p1322 :rule reordering :premises (@p1321) :args ((or @t1059 @t1058 (not @t1060)))) % 1.42/1.62 (step @p1323 :rule chain_m_resolution :premises (@p1322 @p1182 @p1320) :args (@t1058 (@list false false) (@list @t1030 @t1060))) % 1.42/1.62 (step @p1324 :rule aci_norm :args ((= (or @t1061 (or @t1046 @t177)) (or @t1061 @t1046 @t177)))) % 1.42/1.62 (step @p1325 :rule bool-impl-elim :args (@t121 @t177)) % 1.42/1.62 (step @p1326 :rule refl :args (@t1061)) % 1.42/1.62 (step @p1327 :rule nary_cong :premises (@p1326 @p1325) :args ((or @t1061 @t178))) % 1.42/1.62 (step @p1328 :rule trans :premises (@p1327 @p1324)) % 1.42/1.62 (step @p1329 :rule bool-impl-elim :args (@t54 @t178)) % 1.42/1.62 (step @p1330 :rule trans :premises (@p1329 @p1328)) % 1.42/1.62 (step @p1331 :rule cong :premises (@p1330) :args (@t179)) % 1.42/1.62 (step @p1332 :rule eq_resolve :premises (@p59 @p1331)) % 1.42/1.62 (step @p1333 :rule instantiate :premises (@p1332) :args ((@list tptp.v_k____ @t13 tptp.tc_RealDef_Oreal))) % 1.42/1.62 (step @p1334 :rule cnf_or_pos :args (@t1065)) % 1.42/1.62 (step @p1335 :rule reordering :premises (@p1334) :args ((or @t1064 @t1063 @t1062 (not @t1065)))) % 1.42/1.62 (step @p1336 :rule chain_m_resolution :premises (@p1335 @p1132 @p1323 @p1333) :args (@t1062 (@list false false false) (@list @t1028 @t1058 @t1065))) % 1.42/1.62 (step @p1337 :rule cnf_or_pos :args (@t1068)) % 1.42/1.62 (step @p1338 :rule reordering :premises (@p1337) :args ((or @t1067 @t1063 @t1066 @t1053 (not @t1068)))) % 1.42/1.62 (step @p1339 false :rule chain_m_resolution :premises (@p1338 @p1336 @p1323 @p1316 @p1297 @p1120) :args (false (@list false false true false false) (@list @t1062 @t1058 @t1053 @t1068 @t1027))) % 1.42/1.62 ) % 1.42/1.62 % SZS output end Proof % 1.42/1.62 % cvc5 exiting %------------------------------------------------------------------------------