%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW263+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 : n003.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 1.32s 1.54s % Output : Proof 1.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW263+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.33 % Computer : n003.cluster.edu % 0.16/0.33 % Model : x86_64 x86_64 % 0.16/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.33 % Memory : 8042.1875MB % 0.16/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.33 % CPULimit : 300 % 0.16/0.33 % WCLimit : 300 % 0.16/0.33 % DateTime : Tue Jun 2 21:42:29 EDT 2026 % 0.16/0.33 % CPUTime : % 0.42/0.73 %----Proving TF0_NAR, FOF, or CNF % 1.32/1.54 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.32/1.54 % SZS status Theorem % 1.32/1.54 % SZS output start Proof % 1.32/1.54 ( % 1.32/1.54 (declare-sort $$unsorted 0) % 1.32/1.54 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.32/1.54 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.v_q____ $$unsorted) % 1.32/1.54 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.32/1.54 (declare-const tptp.v_pa____ $$unsorted) % 1.32/1.54 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.v_s____ $$unsorted) % 1.32/1.54 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_RealVector_Oreal__div__algebra (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_RealVector_Oreal__algebra__1 (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.32/1.54 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.32/1.54 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.v_a____ $$unsorted) % 1.32/1.54 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.v_t____ $$unsorted) % 1.32/1.54 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.32/1.54 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.v_w____ $$unsorted) % 1.32/1.54 (declare-const tptp.v_p $$unsorted) % 1.32/1.54 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.v_m____ $$unsorted) % 1.32/1.54 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.32/1.54 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.v_c____ $$unsorted) % 1.32/1.54 (declare-const tptp.v_k____ $$unsorted) % 1.32/1.54 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.c_RealVector_Oof__real (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.32/1.54 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.32/1.54 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.32/1.54 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.32/1.54 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.32/1.54 (define @t3 () (@var "B_x" $$unsorted)) % 1.32/1.54 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.32/1.54 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.32/1.54 (define @t6 () (@list @t3)) % 1.32/1.54 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.32/1.54 (define @t8 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.32/1.54 (define @t9 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.32/1.54 (define @t10 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.32/1.54 (define @t11 () (tptp.hAPP (tptp.hAPP @t10 tptp.v_t____) tptp.v_k____)) % 1.32/1.54 (define @t12 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t11)) % 1.32/1.54 (define @t13 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.32/1.54 (define @t14 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat tptp.v_k____ @t13)) % 1.32/1.54 (define @t15 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_w____)) % 1.32/1.54 (define @t16 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.32/1.54 (define @t17 () (tptp.hAPP (tptp.hAPP @t16 (tptp.hAPP (tptp.hAPP @t10 @t15) @t14)) tptp.v_m____)) % 1.32/1.54 (define @t18 () (tptp.hAPP @t16 tptp.v_t____)) % 1.32/1.54 (define @t19 () (tptp.hAPP @t18 @t17)) % 1.32/1.54 (define @t20 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t19 @t8)) % 1.32/1.54 (define @t21 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t17)) % 1.32/1.54 (define @t22 () (tptp.hAPP @t16 @t8)) % 1.32/1.54 (define @t23 () (@var "V_n" $$unsorted)) % 1.32/1.54 (define @t24 () (@var "V_a" $$unsorted)) % 1.32/1.54 (define @t25 () (@var "T_a" $$unsorted)) % 1.32/1.54 (define @t26 () (tptp.c_Power_Opower__class_Opower @t25)) % 1.32/1.54 (define @t27 () (tptp.hAPP @t26 @t24)) % 1.32/1.54 (define @t28 () (tptp.hAPP @t27 @t23)) % 1.32/1.54 (define @t29 () (tptp.c_Groups_Otimes__class_Otimes @t25)) % 1.32/1.54 (define @t30 () (tptp.hAPP @t29 @t24)) % 1.32/1.54 (define @t31 () (tptp.hAPP @t30 @t28)) % 1.32/1.54 (define @t32 () (tptp.c_Groups_Oone__class_Oone @t25)) % 1.32/1.54 (define @t33 () (tptp.c_Orderings_Oord__class_Oless @t25 @t24 @t32)) % 1.32/1.54 (define @t34 () (tptp.c_Groups_Ozero__class_Ozero @t25)) % 1.32/1.54 (define @t35 () (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t24)) % 1.32/1.54 (define @t36 () (tptp.class_Rings_Olinordered__semidom @t25)) % 1.32/1.54 (define @t37 () (@list @t23 @t24 @t25)) % 1.32/1.54 (define @t38 () (@var "V_d2" $$unsorted)) % 1.32/1.54 (define @t39 () (@var "B_e" $$unsorted)) % 1.32/1.54 (define @t40 () (@var "V_s" $$unsorted)) % 1.32/1.54 (define @t41 () (@var "V_r" $$unsorted)) % 1.32/1.54 (define @t42 () (@var "V_y" $$unsorted)) % 1.32/1.54 (define @t43 () (@var "V_x" $$unsorted)) % 1.32/1.54 (define @t44 () (tptp.hAPP @t29 @t43)) % 1.32/1.54 (define @t45 () (tptp.hAPP @t44 @t42)) % 1.32/1.54 (define @t46 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t45)) % 1.32/1.54 (define @t47 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t42)) % 1.32/1.54 (define @t48 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t47 @t40)) % 1.32/1.54 (define @t49 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t43)) % 1.32/1.54 (define @t50 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t49 @t41)) % 1.32/1.54 (define @t51 () (tptp.class_RealVector_Oreal__normed__algebra @t25)) % 1.32/1.54 (define @t52 () (@list @t40 @t42 @t41 @t43 @t25)) % 1.32/1.54 (define @t53 () (@var "V_x_2" $$unsorted)) % 1.32/1.54 (define @t54 () (= @t53 @t34)) % 1.32/1.54 (define @t55 () (not @t54)) % 1.32/1.54 (define @t56 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t53)) % 1.32/1.54 (define @t57 () (tptp.class_RealVector_Oreal__normed__vector @t25)) % 1.32/1.54 (define @t58 () (@list @t53 @t25)) % 1.32/1.54 (define @t59 () (tptp.c_Orderings_Oord__class_Oless @t25 @t32 @t24)) % 1.32/1.54 (define @t60 () (@var "V_N" $$unsorted)) % 1.32/1.54 (define @t61 () (tptp.hAPP @t27 @t60)) % 1.32/1.54 (define @t62 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t23 @t60)) % 1.32/1.54 (define @t63 () (@list @t24 @t60 @t23 @t25)) % 1.32/1.54 (define @t64 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t32 @t32)) % 1.32/1.54 (define @t65 () (@list @t25)) % 1.32/1.54 (define @t66 () (tptp.hAPP @t29 @t42)) % 1.32/1.54 (define @t67 () (tptp.hAPP @t44 @t43)) % 1.32/1.54 (define @t68 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t67 (tptp.hAPP @t66 @t42))) % 1.32/1.54 (define @t69 () (tptp.class_Rings_Olinordered__ring @t25)) % 1.32/1.54 (define @t70 () (@list @t42 @t43 @t25)) % 1.32/1.54 (define @t71 () (@var "V_y_2" $$unsorted)) % 1.32/1.54 (define @t72 () (= @t71 @t34)) % 1.32/1.54 (define @t73 () (tptp.hAPP @t29 @t53)) % 1.32/1.54 (define @t74 () (tptp.hAPP @t73 @t53)) % 1.32/1.54 (define @t75 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t74 (tptp.hAPP (tptp.hAPP @t29 @t71) @t71))) % 1.32/1.54 (define @t76 () (tptp.class_Rings_Olinordered__ring__strict @t25)) % 1.32/1.54 (define @t77 () (@list @t71 @t53 @t25)) % 1.32/1.54 (define @t78 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.32/1.54 (define @t79 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.32/1.54 (define @t80 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.32/1.54 (define @t81 () (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t79 tptp.v_w____) tptp.v_k____)) tptp.v_a____)) % 1.32/1.54 (define @t82 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.32/1.54 (define @t83 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t82 @t81)) % 1.32/1.54 (define @t84 () (@var "V_z" $$unsorted)) % 1.32/1.54 (define @t85 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t84)) % 1.32/1.54 (define @t86 () (@var "V_w" $$unsorted)) % 1.32/1.54 (define @t87 () (@list @t84 @t86)) % 1.32/1.54 (define @t88 () (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t24)) % 1.32/1.54 (define @t89 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t88) @t24)) % 1.32/1.54 (define @t90 () (tptp.class_Rings_Odivision__ring__inverse__zero @t25)) % 1.32/1.54 (define @t91 () (@list @t24 @t25)) % 1.32/1.54 (define @t92 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t24)) % 1.32/1.54 (define @t93 () (= (tptp.c_RealVector_Onorm__class_Onorm @t25 @t88) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t92))) % 1.32/1.54 (define @t94 () (tptp.class_RealVector_Oreal__normed__div__algebra @t25)) % 1.32/1.54 (define @t95 () (@var "V_n_2" $$unsorted)) % 1.32/1.54 (define @t96 () (= @t95 @t9)) % 1.32/1.54 (define @t97 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 @t53)) % 1.32/1.54 (define @t98 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.32/1.54 (define @t99 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 (tptp.hAPP (tptp.hAPP @t98 @t53) @t95))) % 1.32/1.54 (define @t100 () (@list @t95 @t53)) % 1.32/1.54 (define @t101 () (@var "V_b_2" $$unsorted)) % 1.32/1.54 (define @t102 () (@var "V_aa_2" $$unsorted)) % 1.32/1.54 (define @t103 () (= @t102 @t101)) % 1.32/1.54 (define @t104 () (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t102)) % 1.32/1.54 (define @t105 () (@list @t101 @t102 @t25)) % 1.32/1.54 (define @t106 () (@var "V_m" $$unsorted)) % 1.32/1.54 (define @t107 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t106 @t23)) % 1.32/1.54 (define @t108 () (@var "V_i" $$unsorted)) % 1.32/1.54 (define @t109 () (tptp.hAPP @t98 @t108)) % 1.32/1.54 (define @t110 () (@var "V_b" $$unsorted)) % 1.32/1.54 (define @t111 () (= @t24 @t110)) % 1.32/1.54 (define @t112 () (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t110)) % 1.32/1.54 (define @t113 () (= @t88 @t112)) % 1.32/1.54 (define @t114 () (@list @t110 @t24 @t25)) % 1.32/1.54 (define @t115 () (= @t110 @t34)) % 1.32/1.54 (define @t116 () (not @t115)) % 1.32/1.54 (define @t117 () (= @t24 @t34)) % 1.32/1.54 (define @t118 () (not @t117)) % 1.32/1.54 (define @t119 () (tptp.class_Rings_Odivision__ring @t25)) % 1.32/1.54 (define @t120 () (= @t88 @t34)) % 1.32/1.54 (define @t121 () (= @t102 @t34)) % 1.32/1.54 (define @t122 () (@list @t102 @t25)) % 1.32/1.54 (define @t123 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t34) @t34)) % 1.32/1.54 (define @t124 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t28) (tptp.hAPP (tptp.hAPP @t26 @t88) @t23))) % 1.32/1.54 (define @t125 () (tptp.hAPP @t27 @t106)) % 1.32/1.54 (define @t126 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.32/1.54 (define @t127 () (tptp.hAPP @t126 @t106)) % 1.32/1.54 (define @t128 () (tptp.hAPP @t127 @t23)) % 1.32/1.54 (define @t129 () (tptp.class_Groups_Omonoid__mult @t25)) % 1.32/1.54 (define @t130 () (@list @t23 @t106 @t24 @t25)) % 1.32/1.54 (define @t131 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 @t23)) % 1.32/1.54 (define @t132 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t110)) % 1.32/1.54 (define @t133 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t24)) % 1.32/1.54 (define @t134 () (tptp.hAPP (tptp.hAPP @t26 @t110) @t23)) % 1.32/1.54 (define @t135 () (@list @t110 @t23 @t24 @t25)) % 1.32/1.54 (define @t136 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t32 @t24)) % 1.32/1.54 (define @t137 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t23 @t60)) % 1.32/1.54 (define @t138 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t24 @t32)) % 1.32/1.54 (define @t139 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t106 @t23)) % 1.32/1.54 (define @t140 () (tptp.hAPP @t26 @t101)) % 1.32/1.54 (define @t141 () (tptp.hAPP @t140 @t71)) % 1.32/1.54 (define @t142 () (tptp.hAPP @t140 @t53)) % 1.32/1.54 (define @t143 () (tptp.c_Orderings_Oord__class_Oless @t25 @t32 @t101)) % 1.32/1.54 (define @t144 () (@list @t71 @t53 @t101 @t25)) % 1.32/1.54 (define @t145 () (tptp.hAPP @t30 @t110)) % 1.32/1.54 (define @t146 () (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t145)) % 1.32/1.54 (define @t147 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t145 @t34)) % 1.32/1.54 (define @t148 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t24 @t34)) % 1.32/1.54 (define @t149 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t110 @t34)) % 1.32/1.54 (define @t150 () (tptp.class_Rings_Oordered__cancel__semiring @t25)) % 1.32/1.54 (define @t151 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t145)) % 1.32/1.54 (define @t152 () (tptp.class_Rings_Oordered__ring @t25)) % 1.32/1.54 (define @t153 () (@var "V_d" $$unsorted)) % 1.32/1.54 (define @t154 () (tptp.hAPP @t29 @t110)) % 1.32/1.54 (define @t155 () (tptp.hAPP @t154 @t153)) % 1.32/1.54 (define @t156 () (@var "V_c" $$unsorted)) % 1.32/1.54 (define @t157 () (tptp.hAPP @t30 @t156)) % 1.32/1.54 (define @t158 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t156)) % 1.32/1.54 (define @t159 () (=> @t158 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t157 @t155))) % 1.32/1.54 (define @t160 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t156 @t153)) % 1.32/1.54 (define @t161 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t24 @t110)) % 1.32/1.54 (define @t162 () (tptp.class_Rings_Oordered__semiring @t25)) % 1.32/1.54 (define @t163 () (@list @t153 @t156 @t110 @t24 @t25)) % 1.32/1.54 (define @t164 () (tptp.hAPP @t29 @t156)) % 1.32/1.54 (define @t165 () (tptp.hAPP @t164 @t110)) % 1.32/1.54 (define @t166 () (tptp.hAPP @t164 @t24)) % 1.32/1.54 (define @t167 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t166 @t165)) % 1.32/1.54 (define @t168 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t156 @t34)) % 1.32/1.54 (define @t169 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t110 @t24)) % 1.32/1.54 (define @t170 () (@list @t156 @t24 @t110 @t25)) % 1.32/1.54 (define @t171 () (tptp.hAPP @t154 @t156)) % 1.32/1.54 (define @t172 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t157 @t171)) % 1.32/1.54 (define @t173 () (=> @t161 (=> @t158 @t167))) % 1.32/1.54 (define @t174 () (@list @t156 @t110 @t24 @t25)) % 1.32/1.54 (define @t175 () (tptp.hAPP @t154 @t24)) % 1.32/1.54 (define @t176 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t101)) % 1.32/1.54 (define @t177 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t102 @t34)) % 1.32/1.54 (define @t178 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t101 @t34)) % 1.32/1.54 (define @t179 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t102)) % 1.32/1.54 (define @t180 () (tptp.hAPP @t29 @t102)) % 1.32/1.54 (define @t181 () (tptp.hAPP @t180 @t101)) % 1.32/1.54 (define @t182 () (tptp.hAPP @t30 @t24)) % 1.32/1.54 (define @t183 () (@list @t23 @t110 @t24 @t25)) % 1.32/1.54 (define @t184 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t43 @t42)) % 1.32/1.54 (define @t185 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t184)) % 1.32/1.54 (define @t186 () (@list @t43 @t25)) % 1.32/1.54 (define @t187 () (tptp.class_Power_Opower @t25)) % 1.32/1.54 (define @t188 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t110)) % 1.32/1.54 (define @t189 () (tptp.hAPP @t29 @t88)) % 1.32/1.54 (define @t190 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t88 @t112)) % 1.32/1.54 (define @t191 () (=> @t118 (= (tptp.hAPP @t189 @t24) @t32))) % 1.32/1.54 (define @t192 () (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t156)) % 1.32/1.54 (define @t193 () (=> @t192 @t161)) % 1.32/1.54 (define @t194 () (tptp.class_Rings_Olinordered__semiring__strict @t25)) % 1.32/1.54 (define @t195 () (@list @t110 @t24 @t156 @t25)) % 1.32/1.54 (define @t196 () (@list @t110 @t156 @t24 @t25)) % 1.32/1.54 (define @t197 () (tptp.c_Orderings_Oord__class_Oless @t25 @t24 @t110)) % 1.32/1.54 (define @t198 () (=> @t158 @t197)) % 1.32/1.54 (define @t199 () (tptp.c_Orderings_Oord__class_Oless @t25 @t166 @t165)) % 1.32/1.54 (define @t200 () (=> @t199 @t198)) % 1.32/1.54 (define @t201 () (tptp.class_Rings_Olinordered__semiring @t25)) % 1.32/1.54 (define @t202 () (tptp.c_Orderings_Oord__class_Oless @t25 @t157 @t171)) % 1.32/1.54 (define @t203 () (=> @t202 @t198)) % 1.32/1.54 (define @t204 () (tptp.c_Orderings_Oord__class_Oless @t25 @t157 @t155)) % 1.32/1.54 (define @t205 () (=> @t158 @t204)) % 1.32/1.54 (define @t206 () (tptp.c_Orderings_Oord__class_Oless @t25 @t156 @t153)) % 1.32/1.54 (define @t207 () (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t110)) % 1.32/1.54 (define @t208 () (@var "V_ca_2" $$unsorted)) % 1.32/1.54 (define @t209 () (tptp.hAPP @t29 @t208)) % 1.32/1.54 (define @t210 () (tptp.hAPP @t209 @t101)) % 1.32/1.54 (define @t211 () (tptp.hAPP @t209 @t102)) % 1.32/1.54 (define @t212 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t211 @t210)) % 1.32/1.54 (define @t213 () (tptp.c_Orderings_Oord__class_Oless @t25 @t208 @t34)) % 1.32/1.54 (define @t214 () (@list @t101 @t102 @t208 @t25)) % 1.32/1.54 (define @t215 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t102 @t101)) % 1.32/1.54 (define @t216 () (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t208)) % 1.32/1.54 (define @t217 () (and @t54 @t72)) % 1.32/1.54 (define @t218 () (tptp.hAPP @t66 @t43)) % 1.32/1.54 (define @t219 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t42 @t32)) % 1.32/1.54 (define @t220 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t42)) % 1.32/1.54 (define @t221 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t43)) % 1.32/1.54 (define @t222 () (tptp.class_Rings_Olinordered__idom @t25)) % 1.32/1.54 (define @t223 () (tptp.c_Orderings_Oord__class_Oless @t25 @t28 @t134)) % 1.32/1.54 (define @t224 () (tptp.hAPP (tptp.hAPP @t16 @t49) @t47)) % 1.32/1.54 (define @t225 () (tptp.hAPP (tptp.hAPP @t10 @t49) @t23)) % 1.32/1.54 (define @t226 () (tptp.hAPP @t26 @t43)) % 1.32/1.54 (define @t227 () (tptp.hAPP @t226 @t23)) % 1.32/1.54 (define @t228 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t227)) % 1.32/1.54 (define @t229 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t25)) % 1.32/1.54 (define @t230 () (@list @t23 @t43 @t25)) % 1.32/1.54 (define @t231 () (@var "V_v" $$unsorted)) % 1.32/1.54 (define @t232 () (@var "V_u" $$unsorted)) % 1.32/1.54 (define @t233 () (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP (tptp.hAPP @t29 @t232) @t43) (tptp.hAPP (tptp.hAPP @t29 @t231) @t42))) % 1.32/1.54 (define @t234 () (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t232 @t231) @t32)) % 1.32/1.54 (define @t235 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t231)) % 1.32/1.54 (define @t236 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t232)) % 1.32/1.54 (define @t237 () (@list @t231 @t232 @t42 @t24 @t43 @t25)) % 1.32/1.54 (define @t238 () (tptp.c_Orderings_Oord__class_Oless @t25 @t42 @t43)) % 1.32/1.54 (define @t239 () (tptp.c_Orderings_Oord__class_Oless @t25 @t43 @t42)) % 1.32/1.54 (define @t240 () (not @t239)) % 1.32/1.54 (define @t241 () (= @t43 @t42)) % 1.32/1.54 (define @t242 () (not @t241)) % 1.32/1.54 (define @t243 () (=> @t242 (=> @t240 @t238))) % 1.32/1.54 (define @t244 () (= @t145 @t34)) % 1.32/1.54 (define @t245 () (tptp.class_Rings_Ono__zero__divisors @t25)) % 1.32/1.54 (define @t246 () (= (tptp.hAPP @t30 @t34) @t34)) % 1.32/1.54 (define @t247 () (tptp.class_Rings_Omult__zero @t25)) % 1.32/1.54 (define @t248 () (tptp.hAPP @t29 @t34)) % 1.32/1.54 (define @t249 () (@list @t42 @t25)) % 1.32/1.54 (define @t250 () (= (tptp.hAPP @t248 @t24) @t34)) % 1.32/1.54 (define @t251 () (tptp.class_Rings_Ozero__neq__one @t25)) % 1.32/1.54 (define @t252 () (@var "V_e" $$unsorted)) % 1.32/1.54 (define @t253 () (tptp.hAPP @t29 @t188)) % 1.32/1.54 (define @t254 () (@var "V_ya" $$unsorted)) % 1.32/1.54 (define @t255 () (tptp.hAPP @t66 @t254)) % 1.32/1.54 (define @t256 () (tptp.hAPP @t44 @t254)) % 1.32/1.54 (define @t257 () (@list @t254 @t42 @t43 @t25)) % 1.32/1.54 (define @t258 () (@var "V_a_H" $$unsorted)) % 1.32/1.54 (define @t259 () (tptp.hAPP (tptp.hAPP @t29 @t258) @t110)) % 1.32/1.54 (define @t260 () (@list @t110 @t258 @t24 @t25)) % 1.32/1.54 (define @t261 () (= (tptp.hAPP @t253 @t156) (tptp.c_Groups_Oplus__class_Oplus @t25 @t157 @t171))) % 1.32/1.54 (define @t262 () (@var "V_xa" $$unsorted)) % 1.32/1.54 (define @t263 () (tptp.hAPP @t29 @t262)) % 1.32/1.54 (define @t264 () (tptp.hAPP @t263 @t42)) % 1.32/1.54 (define @t265 () (tptp.hAPP @t263 @t43)) % 1.32/1.54 (define @t266 () (@list @t42 @t43 @t262 @t25)) % 1.32/1.54 (define @t267 () (@var "V_b_H" $$unsorted)) % 1.32/1.54 (define @t268 () (tptp.hAPP @t30 @t267)) % 1.32/1.54 (define @t269 () (@list @t267 @t110 @t24 @t25)) % 1.32/1.54 (define @t270 () (tptp.class_Rings_Oring__1__no__zero__divisors @t25)) % 1.32/1.54 (define @t271 () (not @t96)) % 1.32/1.54 (define @t272 () (tptp.hAPP @t26 @t102)) % 1.32/1.54 (define @t273 () (tptp.hAPP @t272 @t95)) % 1.32/1.54 (define @t274 () (@list @t95 @t102 @t25)) % 1.32/1.54 (define @t275 () (tptp.hAPP @t29 @t28)) % 1.32/1.54 (define @t276 () (tptp.class_Groups_Ocomm__monoid__mult @t25)) % 1.32/1.54 (define @t277 () (@list @t23 @t25)) % 1.32/1.54 (define @t278 () (tptp.c_Orderings_Oord__class_Oless @t25 @t156 @t34)) % 1.32/1.54 (define @t279 () (tptp.c_Orderings_Oord__class_Oless @t25 @t110 @t24)) % 1.32/1.54 (define @t280 () (=> @t192 @t199)) % 1.32/1.54 (define @t281 () (=> @t197 @t280)) % 1.32/1.54 (define @t282 () (tptp.class_Rings_Olinordered__comm__semiring__strict @t25)) % 1.32/1.54 (define @t283 () (forall @t174 (=> @t282 @t281))) % 1.32/1.54 (define @t284 () (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t145)) % 1.32/1.54 (define @t285 () (tptp.c_Orderings_Oord__class_Oless @t25 @t110 @t34)) % 1.32/1.54 (define @t286 () (tptp.c_Orderings_Oord__class_Oless @t25 @t24 @t34)) % 1.32/1.54 (define @t287 () (tptp.c_Orderings_Oord__class_Oless @t25 @t145 @t34)) % 1.32/1.54 (define @t288 () (tptp.c_Orderings_Oord__class_Oless @t25 @t101 @t102)) % 1.32/1.54 (define @t289 () (tptp.c_Orderings_Oord__class_Oless @t25 @t211 @t210)) % 1.32/1.54 (define @t290 () (=> @t35 @t207)) % 1.32/1.54 (define @t291 () (@list @t24 @t110 @t25)) % 1.32/1.54 (define @t292 () (tptp.c_Orderings_Oord__class_Oless @t25 @t102 @t101)) % 1.32/1.54 (define @t293 () (or (and @t216 @t292) (and @t213 @t288))) % 1.32/1.54 (define @t294 () (tptp.hAPP @t29 @t101)) % 1.32/1.54 (define @t295 () (tptp.hAPP @t294 @t208)) % 1.32/1.54 (define @t296 () (tptp.hAPP @t180 @t208)) % 1.32/1.54 (define @t297 () (@list @t101 @t208 @t102 @t25)) % 1.32/1.54 (define @t298 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t156)) % 1.32/1.54 (define @t299 () (tptp.c_Orderings_Oord__class_Oless @t25 @t110 @t298)) % 1.32/1.54 (define @t300 () (tptp.c_Orderings_Oord__class_Oless @t25 @t110 @t156)) % 1.32/1.54 (define @t301 () (=> @t300 @t299)) % 1.32/1.54 (define @t302 () (tptp.hAPP @t29 @t106)) % 1.32/1.54 (define @t303 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t32)) % 1.32/1.54 (define @t304 () (tptp.hAPP (tptp.hAPP @t26 @t34) @t23)) % 1.32/1.54 (define @t305 () (= @t23 @t9)) % 1.32/1.54 (define @t306 () (not @t305)) % 1.32/1.54 (define @t307 () (tptp.class_Rings_Osemiring__0 @t25)) % 1.32/1.54 (define @t308 () (@var "V_ma_2" $$unsorted)) % 1.32/1.54 (define @t309 () (= @t308 @t95)) % 1.32/1.54 (define @t310 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t23)) % 1.32/1.54 (define @t311 () (@var "B_t" $$unsorted)) % 1.32/1.54 (define @t312 () (= @t43 @t34)) % 1.32/1.54 (define @t313 () (tptp.hAPP @t16 @t156)) % 1.32/1.54 (define @t314 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t156 @t7)) % 1.32/1.54 (define @t315 () (@list @t23)) % 1.32/1.54 (define @t316 () (tptp.class_Fields_Olinordered__field @t25)) % 1.32/1.54 (define @t317 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t53 @t34)) % 1.32/1.54 (define @t318 () (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t53)) % 1.32/1.54 (define @t319 () (tptp.class_Fields_Olinordered__field__inverse__zero @t25)) % 1.32/1.54 (define @t320 () (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t53)) % 1.32/1.54 (define @t321 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t43)) % 1.32/1.54 (define @t322 () (tptp.hAPP @t16 @t321)) % 1.32/1.54 (define @t323 () (= @t43 @t7)) % 1.32/1.54 (define @t324 () (not @t323)) % 1.32/1.54 (define @t325 () (@list @t43)) % 1.32/1.54 (define @t326 () (@var "V_x1" $$unsorted)) % 1.32/1.54 (define @t327 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t326)) % 1.32/1.54 (define @t328 () (tptp.hAPP @t16 @t43)) % 1.32/1.54 (define @t329 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t16 @t326) @t42) (tptp.hAPP @t328 @t232))) % 1.32/1.54 (define @t330 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t326)) % 1.32/1.54 (define @t331 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t43)) % 1.32/1.54 (define @t332 () (@list @t232 @t42 @t326 @t43)) % 1.32/1.54 (define @t333 () (tptp.hAPP @t16 @t232)) % 1.32/1.54 (define @t334 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t71)) % 1.32/1.54 (define @t335 () (@var "V_z_2" $$unsorted)) % 1.32/1.54 (define @t336 () (tptp.hAPP @t16 @t335)) % 1.32/1.54 (define @t337 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t335)) % 1.32/1.54 (define @t338 () (@list @t71 @t53 @t335)) % 1.32/1.54 (define @t339 () (tptp.hAPP @t127 @t106)) % 1.32/1.54 (define @t340 () (@list @t106)) % 1.32/1.54 (define @t341 () (tptp.hAPP @t126 @t23)) % 1.32/1.54 (define @t342 () (@list @t23 @t106)) % 1.32/1.54 (define @t343 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t23 @t106)) % 1.32/1.54 (define @t344 () (@var "V_k" $$unsorted)) % 1.32/1.54 (define @t345 () (tptp.hAPP @t341 @t344)) % 1.32/1.54 (define @t346 () (@list @t344 @t23 @t106)) % 1.32/1.54 (define @t347 () (= @t106 @t23)) % 1.32/1.54 (define @t348 () (@var "V_j" $$unsorted)) % 1.32/1.54 (define @t349 () (tptp.hAPP @t126 @t348)) % 1.32/1.54 (define @t350 () (tptp.hAPP @t349 @t344)) % 1.32/1.54 (define @t351 () (tptp.hAPP @t126 @t108)) % 1.32/1.54 (define @t352 () (tptp.hAPP @t351 @t344)) % 1.32/1.54 (define @t353 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t108 @t348)) % 1.32/1.54 (define @t354 () (@list @t344 @t348 @t108)) % 1.32/1.54 (define @t355 () (tptp.hAPP @t126 @t344)) % 1.32/1.54 (define @t356 () (tptp.hAPP @t355 @t348)) % 1.32/1.54 (define @t357 () (tptp.hAPP @t355 @t108)) % 1.32/1.54 (define @t358 () (@var "V_l" $$unsorted)) % 1.32/1.54 (define @t359 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t344 @t358)) % 1.32/1.54 (define @t360 () (@list @t358 @t344 @t348 @t108)) % 1.32/1.54 (define @t361 () (@list @t95)) % 1.32/1.54 (define @t362 () (not @t347)) % 1.32/1.54 (define @t363 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t308 @t95)) % 1.32/1.54 (define @t364 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t308 @t95)) % 1.32/1.54 (define @t365 () (@list @t95 @t308)) % 1.32/1.54 (define @t366 () (not @t309)) % 1.32/1.54 (define @t367 () (@list @t106 @t23)) % 1.32/1.54 (define @t368 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t23 @t106)) % 1.32/1.54 (define @t369 () (@var "B_n" $$unsorted)) % 1.32/1.54 (define @t370 () (@var "V_ka_2" $$unsorted)) % 1.32/1.54 (define @t371 () (@var "V_l_2" $$unsorted)) % 1.32/1.54 (define @t372 () (@list @t369)) % 1.32/1.54 (define @t373 () (@list @t371 @t370)) % 1.32/1.54 (define @t374 () (@var "B_k" $$unsorted)) % 1.32/1.54 (define @t375 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t370 @t95)) % 1.32/1.54 (define @t376 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t370 @t308)) % 1.32/1.54 (define @t377 () (@list @t95 @t308 @t370)) % 1.32/1.54 (define @t378 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t348 @t106)) % 1.32/1.54 (define @t379 () (@list @t106 @t348 @t108)) % 1.32/1.54 (define @t380 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t348)) % 1.32/1.54 (define @t381 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t348 @t344)) % 1.32/1.54 (define @t382 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t344)) % 1.32/1.54 (define @t383 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t348 @t358)) % 1.32/1.54 (define @t384 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t344 @t23)) % 1.32/1.54 (define @t385 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t344)) % 1.32/1.54 (define @t386 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t385 @t23)) % 1.32/1.54 (define @t387 () (@list @t23 @t344 @t106)) % 1.32/1.54 (define @t388 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 @t370)) % 1.32/1.54 (define @t389 () (=> @t388 @t364)) % 1.32/1.54 (define @t390 () (tptp.hAPP (tptp.hAPP @t126 @t95) @t370)) % 1.32/1.54 (define @t391 () (tptp.hAPP @t126 @t308)) % 1.32/1.54 (define @t392 () (tptp.hAPP @t391 @t370)) % 1.32/1.54 (define @t393 () (@list @t95 @t370 @t308)) % 1.32/1.54 (define @t394 () (tptp.hAPP @t126 @t370)) % 1.32/1.54 (define @t395 () (tptp.hAPP @t394 @t95)) % 1.32/1.54 (define @t396 () (tptp.hAPP @t394 @t308)) % 1.32/1.54 (define @t397 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t396 @t395)) % 1.32/1.54 (define @t398 () (= @t370 @t9)) % 1.32/1.54 (define @t399 () (or @t309 @t398)) % 1.32/1.54 (define @t400 () (= @t396 @t395)) % 1.32/1.54 (define @t401 () (= @t308 @t9)) % 1.32/1.54 (define @t402 () (tptp.hAPP @t391 @t95)) % 1.32/1.54 (define @t403 () (= @t84 @t86)) % 1.32/1.54 (define @t404 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t86 @t84)) % 1.32/1.54 (define @t405 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t84 @t86)) % 1.32/1.54 (define @t406 () (@list @t86 @t84)) % 1.32/1.54 (define @t407 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t43 @t42)) % 1.32/1.54 (define @t408 () (@list @t84 @t42 @t43)) % 1.32/1.54 (define @t409 () (@list @t86)) % 1.32/1.54 (define @t410 () (@var "V_P_2" $$unsorted)) % 1.32/1.54 (define @t411 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t410 @t95) @t308))) % 1.32/1.54 (define @t412 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t95 @t308)) % 1.32/1.54 (define @t413 () (@var "V_t" $$unsorted)) % 1.32/1.54 (define @t414 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t42)) % 1.32/1.54 (define @t415 () (@list @t42 @t43)) % 1.32/1.54 (define @t416 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t42 @t84)) % 1.32/1.54 (define @t417 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t23 @t344)) % 1.32/1.54 (define @t418 () (tptp.hAPP @t355 @t23)) % 1.32/1.54 (define @t419 () (tptp.hAPP @t355 @t106)) % 1.32/1.54 (define @t420 () (@list @t23 @t106 @t344)) % 1.32/1.54 (define @t421 () (tptp.hAPP @t127 @t344)) % 1.32/1.54 (define @t422 () (tptp.hAPP @t16 @t84)) % 1.32/1.54 (define @t423 () (@var "V_z3" $$unsorted)) % 1.32/1.54 (define @t424 () (@var "V_z2" $$unsorted)) % 1.32/1.54 (define @t425 () (tptp.hAPP @t16 @t424)) % 1.32/1.54 (define @t426 () (@var "V_z1" $$unsorted)) % 1.32/1.54 (define @t427 () (tptp.hAPP @t16 @t426)) % 1.32/1.54 (define @t428 () (@list @t423 @t424 @t426)) % 1.32/1.54 (define @t429 () (@list @t86 @t424 @t426)) % 1.32/1.54 (define @t430 () (and (= @t308 @t13) (= @t95 @t13))) % 1.32/1.54 (define @t431 () (tptp.class_Fields_Ofield__inverse__zero @t25)) % 1.32/1.54 (define @t432 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 @t344)) % 1.32/1.54 (define @t433 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t348)) % 1.32/1.54 (define @t434 () (and @t388 @t363)) % 1.32/1.54 (define @t435 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t396 @t395)) % 1.32/1.54 (define @t436 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 @t95)) % 1.32/1.54 (define @t437 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 @t308)) % 1.32/1.54 (define @t438 () (= @t53 @t71)) % 1.32/1.54 (define @t439 () (not @t438)) % 1.32/1.54 (define @t440 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t71)) % 1.32/1.54 (define @t441 () (@list @t71 @t53)) % 1.32/1.54 (define @t442 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t308 @t95)) % 1.32/1.54 (define @t443 () (= @t53 @t32)) % 1.32/1.54 (define @t444 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t348)) % 1.32/1.54 (define @t445 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t348 @t108)) % 1.32/1.54 (define @t446 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t344 @t358)) % 1.32/1.54 (define @t447 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t344 @t23)) % 1.32/1.54 (define @t448 () (not (= @t208 @t7))) % 1.32/1.54 (define @t449 () (@list @t101 @t102 @t208)) % 1.32/1.54 (define @t450 () (tptp.hAPP @t16 @t208)) % 1.32/1.54 (define @t451 () (= @t53 @t7)) % 1.32/1.54 (define @t452 () (tptp.hAPP @t16 @t71)) % 1.32/1.54 (define @t453 () (tptp.hAPP @t16 @t53)) % 1.32/1.54 (define @t454 () (tptp.hAPP @t453 @t53)) % 1.32/1.54 (define @t455 () (= @t106 @t9)) % 1.32/1.54 (define @t456 () (@list @t84)) % 1.32/1.54 (define @t457 () (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t102)) % 1.32/1.54 (define @t458 () (tptp.c_Orderings_Oord__class_Oless @t25 @t102 @t34)) % 1.32/1.54 (define @t459 () (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t88)) % 1.32/1.54 (define @t460 () (tptp.c_Orderings_Oord__class_Oless @t25 @t88 @t34)) % 1.32/1.54 (define @t461 () (tptp.c_Orderings_Oord__class_Oless @t25 @t112 @t88)) % 1.32/1.54 (define @t462 () (tptp.c_Orderings_Oord__class_Oless @t25 @t88 @t112)) % 1.32/1.54 (define @t463 () (tptp.hAPP @t452 @t335)) % 1.32/1.54 (define @t464 () (tptp.hAPP @t453 @t335)) % 1.32/1.54 (define @t465 () (tptp.hAPP @t328 @t42)) % 1.32/1.54 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t112 @t88)) % 1.32/1.54 (define @t467 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t88 @t112)) % 1.32/1.54 (define @t468 () (tptp.class_Fields_Ofield @t25)) % 1.32/1.54 (define @t469 () (@var "B_w" $$unsorted)) % 1.32/1.54 (define @t470 () (@list @t469)) % 1.32/1.54 (define @t471 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t82)) % 1.32/1.54 (define @t472 () (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex tptp.v_t____)) % 1.32/1.54 (define @t473 () (tptp.hAPP (tptp.hAPP @t80 @t472) tptp.v_w____)) % 1.32/1.54 (define @t474 () (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t188)) % 1.32/1.54 (define @t475 () (tptp.class_Groups_Oordered__comm__monoid__add @t25)) % 1.32/1.54 (define @t476 () (=> @t207 @t474)) % 1.32/1.54 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t110 @t156)) % 1.32/1.54 (define @t478 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t24)) % 1.32/1.54 (define @t479 () (tptp.class_Groups_Ogroup__add @t25)) % 1.32/1.54 (define @t480 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t110)) % 1.32/1.54 (define @t481 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t24 @t110)) % 1.32/1.54 (define @t482 () (= @t481 (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t480))) % 1.32/1.54 (define @t483 () (tptp.class_Groups_Oab__group__add @t25)) % 1.32/1.54 (define @t484 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t102 @t101)) % 1.32/1.54 (define @t485 () (= @t484 @t34)) % 1.32/1.54 (define @t486 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t102)) % 1.32/1.54 (define @t487 () (tptp.class_Groups_Olinordered__ab__group__add @t25)) % 1.32/1.54 (define @t488 () (@var "V_d_2" $$unsorted)) % 1.32/1.54 (define @t489 () (= @t484 (tptp.c_Groups_Ominus__class_Ominus @t25 @t208 @t488))) % 1.32/1.54 (define @t490 () (tptp.class_Groups_Oordered__ab__group__add @t25)) % 1.32/1.54 (define @t491 () (@list @t488 @t208 @t101 @t102 @t25)) % 1.32/1.54 (define @t492 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t101)) % 1.32/1.54 (define @t493 () (@list @t102 @t101 @t25)) % 1.32/1.54 (define @t494 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t486 @t101)) % 1.32/1.54 (define @t495 () (tptp.c_Orderings_Oord__class_Oless @t25 @t486 @t101)) % 1.32/1.54 (define @t496 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t188)) % 1.32/1.54 (define @t497 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t110 @t24)) % 1.32/1.54 (define @t498 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t481)) % 1.32/1.54 (define @t499 () (= @t102 @t492)) % 1.32/1.54 (define @t500 () (= @t208 @t488)) % 1.32/1.54 (define @t501 () (tptp.c_RealVector_Oof__real @t25 @t53)) % 1.32/1.54 (define @t502 () (tptp.class_RealVector_Oreal__algebra__1 @t25)) % 1.32/1.54 (define @t503 () (tptp.c_RealVector_Oof__real @t25 @t42)) % 1.32/1.54 (define @t504 () (tptp.c_RealVector_Oof__real @t25 @t43)) % 1.32/1.54 (define @t505 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t43 @t42)) % 1.32/1.54 (define @t506 () (= (tptp.c_RealVector_Oof__real @t25 @t505) (tptp.c_Groups_Ominus__class_Ominus @t25 @t504 @t503))) % 1.32/1.54 (define @t507 () (and @t502 @t57)) % 1.32/1.54 (define @t508 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t43)) % 1.32/1.54 (define @t509 () (= (tptp.c_RealVector_Oof__real @t25 @t508) (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t504))) % 1.32/1.54 (define @t510 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t481)) % 1.32/1.54 (define @t511 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t110)) % 1.32/1.54 (define @t512 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t92 @t511)) % 1.32/1.54 (define @t513 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t43 @t42)) % 1.32/1.54 (define @t514 () (tptp.class_Rings_Oidom @t25)) % 1.32/1.54 (define @t515 () (tptp.hAPP @t29 @t478)) % 1.32/1.54 (define @t516 () (tptp.class_Rings_Oring @t25)) % 1.32/1.54 (define @t517 () (tptp.hAPP @t30 @t480)) % 1.32/1.54 (define @t518 () (tptp.hAPP @t515 @t110)) % 1.32/1.54 (define @t519 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t43)) % 1.32/1.54 (define @t520 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t145)) % 1.32/1.54 (define @t521 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t478) (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t88))) % 1.32/1.54 (define @t522 () (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t478 @t24) @t34)) % 1.32/1.54 (define @t523 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t102 @t101)) % 1.32/1.54 (define @t524 () (= (tptp.c_RealVector_Oof__real @t25 @t7) @t34)) % 1.32/1.54 (define @t525 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t53)) % 1.32/1.54 (define @t526 () (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t53 @t71) @t34)) % 1.32/1.54 (define @t527 () (@var "V_e_2" $$unsorted)) % 1.32/1.54 (define @t528 () (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP (tptp.hAPP @t29 @t484) @t527) @t208)) % 1.32/1.54 (define @t529 () (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t294 @t527) @t488)) % 1.32/1.54 (define @t530 () (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t180 @t527) @t208)) % 1.32/1.54 (define @t531 () (= @t530 @t529)) % 1.32/1.54 (define @t532 () (@list @t488 @t101 @t208 @t527 @t102 @t25)) % 1.32/1.54 (define @t533 () (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Groups_Ominus__class_Ominus @t25 @t101 @t102)) @t527) @t488)) % 1.32/1.54 (define @t534 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t42 @t110)) % 1.32/1.54 (define @t535 () (tptp.hAPP @t29 (tptp.c_Groups_Ominus__class_Ominus @t25 @t43 @t24))) % 1.32/1.54 (define @t536 () (tptp.hAPP @t535 @t110)) % 1.32/1.54 (define @t537 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t45 @t145)) % 1.32/1.54 (define @t538 () (@list @t110 @t24 @t42 @t43 @t25)) % 1.32/1.54 (define @t539 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t32)) % 1.32/1.54 (define @t540 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t43 @t42)) % 1.32/1.54 (define @t541 () (= (tptp.c_RealVector_Oof__real @t25 @t540) (tptp.c_Groups_Oplus__class_Oplus @t25 @t504 @t503))) % 1.32/1.54 (define @t542 () (tptp.hAPP (tptp.hAPP @t10 @t43) @t23)) % 1.32/1.54 (define @t543 () (= (tptp.c_RealVector_Oof__real @t25 @t321) (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t504))) % 1.32/1.54 (define @t544 () (tptp.class_RealVector_Oreal__div__algebra @t25)) % 1.32/1.54 (define @t545 () (@list @t23 @t43)) % 1.32/1.54 (define @t546 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t530 @t529)) % 1.32/1.54 (define @t547 () (tptp.c_Orderings_Oord__class_Oless @t25 @t530 @t529)) % 1.32/1.54 (define @t548 () (tptp.class_Rings_Oring__1 @t25)) % 1.32/1.54 (define @t549 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t88 @t112)) % 1.32/1.54 (define @t550 () (tptp.hAPP (tptp.hAPP @t26 @t478) @t23)) % 1.32/1.54 (define @t551 () (tptp.class_Groups_Ozero @t25)) % 1.32/1.54 (define @t552 () (= @t110 @t156)) % 1.32/1.54 (define @t553 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t156 @t24)) % 1.32/1.54 (define @t554 () (tptp.class_Groups_Ocancel__semigroup__add @t25)) % 1.32/1.54 (define @t555 () (=> (= @t188 @t298) @t552)) % 1.32/1.54 (define @t556 () (= @t101 @t208)) % 1.32/1.54 (define @t557 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t208 @t102)) % 1.32/1.54 (define @t558 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t101 @t102)) % 1.32/1.54 (define @t559 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t102 @t208)) % 1.32/1.54 (define @t560 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t110 @t156)) % 1.32/1.54 (define @t561 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t188 @t156)) % 1.32/1.54 (define @t562 () (= @t561 (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t560))) % 1.32/1.54 (define @t563 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t110 @t153)) % 1.32/1.54 (define @t564 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t24 @t156)) % 1.32/1.54 (define @t565 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t156 @t153)) % 1.32/1.54 (define @t566 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t188 @t565)) % 1.32/1.54 (define @t567 () (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t34) @t24)) % 1.32/1.54 (define @t568 () (tptp.class_Groups_Ocomm__monoid__add @t25)) % 1.32/1.54 (define @t569 () (tptp.class_Groups_Omonoid__add @t25)) % 1.32/1.54 (define @t570 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t102 @t102)) % 1.32/1.54 (define @t571 () (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t34 @t24) @t24)) % 1.32/1.54 (define @t572 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t156 @t110)) % 1.32/1.54 (define @t573 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t553 @t572)) % 1.32/1.54 (define @t574 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t25)) % 1.32/1.54 (define @t575 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t298 @t560)) % 1.32/1.54 (define @t576 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t110 @t153)) % 1.32/1.54 (define @t577 () (tptp.class_Groups_Oordered__ab__semigroup__add @t25)) % 1.32/1.54 (define @t578 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t208 @t101)) % 1.32/1.54 (define @t579 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t101 @t208)) % 1.32/1.54 (define @t580 () (tptp.c_Orderings_Oord__class_Oless @t25 @t553 @t572)) % 1.32/1.54 (define @t581 () (tptp.c_Orderings_Oord__class_Oless @t25 @t298 @t560)) % 1.32/1.54 (define @t582 () (tptp.c_Orderings_Oord__class_Oless @t25 @t298 @t576)) % 1.32/1.54 (define @t583 () (=> @t206 @t582)) % 1.32/1.54 (define @t584 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t25)) % 1.32/1.54 (define @t585 () (= (tptp.hAPP @t30 @t32) @t24)) % 1.32/1.54 (define @t586 () (= (tptp.hAPP (tptp.hAPP @t29 @t32) @t24) @t24)) % 1.32/1.54 (define @t587 () (tptp.hAPP @t349 @t232)) % 1.32/1.54 (define @t588 () (tptp.hAPP @t351 @t232)) % 1.32/1.54 (define @t589 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t110 @t298)) % 1.32/1.54 (define @t590 () (tptp.c_Orderings_Oord__class_Oless @t25 @t188 @t34)) % 1.32/1.54 (define @t591 () (=> @t285 @t590)) % 1.32/1.54 (define @t592 () (= (tptp.c_Orderings_Oord__class_Oless @t25 @t570 @t34) @t458)) % 1.32/1.54 (define @t593 () (@var "B_z" $$unsorted)) % 1.32/1.54 (define @t594 () (tptp.hAPP @t79 @t593)) % 1.32/1.54 (define @t595 () (@list @t593)) % 1.32/1.54 (define @t596 () (@list @t53)) % 1.32/1.54 (define @t597 () (@var "V_q" $$unsorted)) % 1.32/1.54 (define @t598 () (@var "V_p" $$unsorted)) % 1.32/1.54 (define @t599 () (tptp.hAPP @t226 @t597)) % 1.32/1.54 (define @t600 () (tptp.hAPP @t226 @t598)) % 1.32/1.54 (define @t601 () (tptp.class_Rings_Ocomm__semiring__1 @t25)) % 1.32/1.54 (define @t602 () (@list @t597 @t598 @t43 @t25)) % 1.32/1.54 (define @t603 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t43 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t42))) % 1.32/1.54 (define @t604 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t106 @t23)) % 1.32/1.54 (define @t605 () (= @t604 @t9)) % 1.32/1.54 (define @t606 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t358 @t106)) % 1.32/1.54 (define @t607 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t358 @t23)) % 1.32/1.54 (define @t608 () (@list @t358 @t23 @t106)) % 1.32/1.54 (define @t609 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t348)) % 1.32/1.54 (define @t610 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t609 @t344)) % 1.32/1.54 (define @t611 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t95 @t370)) % 1.32/1.54 (define @t612 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t308 @t370)) % 1.32/1.54 (define @t613 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t370 @t95)) % 1.32/1.54 (define @t614 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t370 @t308)) % 1.32/1.54 (define @t615 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t43)) % 1.32/1.54 (define @t616 () (@list @t308 @t95)) % 1.32/1.54 (define @t617 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t23 @t604) @t106)) % 1.32/1.54 (define @t618 () (@var "V_j_2" $$unsorted)) % 1.32/1.54 (define @t619 () (@var "V_i_2" $$unsorted)) % 1.32/1.54 (define @t620 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t619 @t370)) % 1.32/1.54 (define @t621 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t618 @t370)) % 1.32/1.54 (define @t622 () (@list @t370 @t618 @t619)) % 1.32/1.54 (define @t623 () (@list @t102 @t53)) % 1.32/1.54 (define @t624 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t53)) % 1.32/1.54 (define @t625 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t53 @t71)) % 1.32/1.54 (define @t626 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t348 @t344)) % 1.32/1.54 (define @t627 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t344 @t348)) % 1.32/1.54 (define @t628 () (@list @t108 @t348 @t344)) % 1.32/1.54 (define @t629 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t444 @t344)) % 1.32/1.54 (define @t630 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t626)) % 1.32/1.54 (define @t631 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t618 @t619)) % 1.32/1.54 (define @t632 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t619 @t618)) % 1.32/1.54 (define @t633 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t445 @t344)) % 1.32/1.54 (define @t634 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t626 @t108)) % 1.32/1.54 (define @t635 () (@var "B_d" $$unsorted)) % 1.32/1.54 (define @t636 () (tptp.hBOOL (tptp.hAPP @t410 @t635))) % 1.32/1.54 (define @t637 () (= @t102 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t635))) % 1.32/1.54 (define @t638 () (@list @t635)) % 1.32/1.54 (define @t639 () (tptp.hBOOL (tptp.hAPP @t410 @t9))) % 1.32/1.54 (define @t640 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t102 @t101)) % 1.32/1.54 (define @t641 () (tptp.hBOOL (tptp.hAPP @t410 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t102 @t101)))) % 1.32/1.54 (define @t642 () (@list @t101 @t102 @t410)) % 1.32/1.54 (define @t643 () (@var "V_u_2" $$unsorted)) % 1.32/1.54 (define @t644 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t126 @t631) @t643) @t95)) % 1.32/1.54 (define @t645 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t126 @t618) @t643) @t95)) % 1.32/1.54 (define @t646 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t126 @t619) @t643) @t308)) % 1.32/1.54 (define @t647 () (= @t646 @t645)) % 1.32/1.54 (define @t648 () (@list @t95 @t308 @t643 @t618 @t619)) % 1.32/1.54 (define @t649 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t588 @t106) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t587 @t23))) % 1.32/1.54 (define @t650 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t646 @t645)) % 1.32/1.54 (define @t651 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t126 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t619 @t618)) @t643) @t308)) % 1.32/1.54 (define @t652 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t618 @t619)) % 1.32/1.54 (define @t653 () (@list @t95 @t308 @t643 @t619 @t618)) % 1.32/1.54 (define @t654 () (@var "V_ry" $$unsorted)) % 1.32/1.54 (define @t655 () (@var "V_lx" $$unsorted)) % 1.32/1.54 (define @t656 () (tptp.hAPP @t29 @t655)) % 1.32/1.54 (define @t657 () (@var "V_rx" $$unsorted)) % 1.32/1.54 (define @t658 () (tptp.hAPP @t29 @t657)) % 1.32/1.54 (define @t659 () (tptp.hAPP @t658 @t654)) % 1.32/1.54 (define @t660 () (tptp.hAPP @t656 @t659)) % 1.32/1.54 (define @t661 () (@list @t654 @t657 @t655 @t25)) % 1.32/1.54 (define @t662 () (tptp.hAPP @t29 (tptp.hAPP @t656 @t657))) % 1.32/1.54 (define @t663 () (@var "V_ly" $$unsorted)) % 1.32/1.54 (define @t664 () (tptp.hAPP @t29 @t663)) % 1.32/1.54 (define @t665 () (tptp.hAPP @t29 (tptp.hAPP @t656 @t663))) % 1.32/1.54 (define @t666 () (tptp.hAPP @t665 @t657)) % 1.32/1.54 (define @t667 () (@list @t657 @t663 @t655 @t25)) % 1.32/1.54 (define @t668 () (tptp.hAPP @t665 @t659)) % 1.32/1.54 (define @t669 () (@list @t654 @t657 @t663 @t655 @t25)) % 1.32/1.54 (define @t670 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t565)) % 1.32/1.54 (define @t671 () (@list @t153 @t156 @t24 @t25)) % 1.32/1.54 (define @t672 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t646 @t645)) % 1.32/1.54 (define @t673 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t106 @t13)) % 1.32/1.54 (define @t674 () (not @t455)) % 1.32/1.54 (define @t675 () (tptp.hAPP @t98 @t598)) % 1.32/1.54 (define @t676 () (tptp.hAPP @t126 @t598)) % 1.32/1.54 (define @t677 () (tptp.hAPP @t675 @t106)) % 1.32/1.54 (define @t678 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t23 @t13)) % 1.32/1.54 (define @t679 () (tptp.hAPP @t26 @t106)) % 1.32/1.54 (define @t680 () (tptp.hAPP @t679 @t23)) % 1.32/1.54 (define @t681 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t25)) % 1.32/1.54 (define @t682 () (@list @t84 @t42 @t43 @t25)) % 1.32/1.54 (define @t683 () (tptp.hAPP @t30 @t106)) % 1.32/1.54 (define @t684 () (@var "V_wa_2" $$unsorted)) % 1.32/1.54 (define @t685 () (tptp.hAPP @t29 @t684)) % 1.32/1.54 (define @t686 () (@list @t153 @t110 @t156 @t24 @t25)) % 1.32/1.54 (define @t687 () (tptp.hAPP @t26 @t42)) % 1.32/1.54 (define @t688 () (tptp.hAPP @t29 @t41)) % 1.32/1.54 (define @t689 () (tptp.hAPP (tptp.hAPP @t29 @t303) @t106)) % 1.32/1.54 (define @t690 () (tptp.class_Rings_Ocomm__ring__1 @t25)) % 1.32/1.54 (define @t691 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t42)) % 1.32/1.54 (define @t692 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t43)) % 1.32/1.54 (define @t693 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_s____)) % 1.32/1.54 (define @t694 () (tptp.hAPP @t693 @t473)) % 1.32/1.54 (define @t695 () (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t79 @t473) tptp.v_k____))) % 1.32/1.54 (define @t696 () (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP @t695 @t473)) @t694)) % 1.32/1.54 (define @t697 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t8 @t11)) % 1.32/1.54 (define @t698 () (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t697)) % 1.32/1.54 (define @t699 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t698 @t696)) % 1.32/1.54 (define @t700 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t699)) % 1.32/1.54 (define @t701 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t82 (tptp.hAPP @t695 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_a____ (tptp.hAPP (tptp.hAPP @t80 @t473) @t694))))) % 1.32/1.54 (define @t702 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t701)) % 1.32/1.54 (define @t703 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t82 (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t79 @t472) tptp.v_k____)) @t81)) @t696)) % 1.32/1.54 (define @t704 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t693 @t593))) % 1.32/1.54 (define @t705 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t593) @t15)) % 1.32/1.54 (define @t706 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t696)) % 1.32/1.54 (define @t707 () (tptp.c_Groups_Oabs__class_Oabs @t25 @t102)) % 1.32/1.54 (define @t708 () (tptp.class_Groups_Oordered__ab__group__add__abs @t25)) % 1.32/1.54 (define @t709 () (tptp.c_Groups_Oabs__class_Oabs @t25 @t24)) % 1.32/1.54 (define @t710 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t709 @t110)) % 1.32/1.54 (define @t711 () (tptp.c_Groups_Oabs__class_Oabs @t25 @t110)) % 1.32/1.54 (define @t712 () (tptp.hAPP @t29 @t709)) % 1.32/1.54 (define @t713 () (tptp.hAPP @t712 @t711)) % 1.32/1.54 (define @t714 () (= (tptp.c_Groups_Oabs__class_Oabs @t25 @t145) @t713)) % 1.32/1.54 (define @t715 () (tptp.c_Groups_Oplus__class_Oplus @t25 @t709 @t711)) % 1.32/1.54 (define @t716 () (tptp.c_Groups_Oabs__class_Oabs @t25 @t497)) % 1.32/1.54 (define @t717 () (tptp.c_Groups_Oabs__class_Oabs @t25 @t481)) % 1.32/1.54 (define @t718 () (tptp.hAPP (tptp.hAPP @t26 @t709) @t23)) % 1.32/1.54 (define @t719 () (tptp.c_Groups_Oabs__class_Oabs @t25 @t28)) % 1.32/1.54 (define @t720 () (= (tptp.c_Groups_Oabs__class_Oabs @t25 @t88) (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t709))) % 1.32/1.54 (define @t721 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t41)) % 1.32/1.54 (define @t722 () (@list @t41)) % 1.32/1.54 (define @t723 () (= @t709 @t24)) % 1.32/1.54 (define @t724 () (not @t121)) % 1.32/1.54 (define @t725 () (tptp.c_Groups_Ominus__class_Ominus @t25 @t709 @t711)) % 1.32/1.54 (define @t726 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t478 @t110)) % 1.32/1.54 (define @t727 () (@var "V_r_2" $$unsorted)) % 1.32/1.54 (define @t728 () (tptp.c_RealVector_Oof__real @t25 @t41)) % 1.32/1.54 (define @t729 () (@list @t41 @t25)) % 1.32/1.54 (define @t730 () (= @t709 @t478)) % 1.32/1.54 (define @t731 () (=> @t286 @t730)) % 1.32/1.54 (define @t732 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t43)) % 1.32/1.54 (define @t733 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t24)) % 1.32/1.54 (define @t734 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t24 @t7)) % 1.32/1.54 (define @t735 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t41 @t7)) % 1.32/1.54 (define @t736 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t106)) % 1.32/1.54 (define @t737 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t358)) % 1.32/1.54 (define @t738 () (@var "B_m" $$unsorted)) % 1.32/1.54 (define @t739 () (forall @t595 (=> @t705 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t704 @t738)))) % 1.32/1.54 (define @t740 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t738)) % 1.32/1.54 (define @t741 () (@list @t738)) % 1.32/1.54 (define @t742 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.32/1.54 (define @t743 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.32/1.54 (define @t744 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.32/1.54 (define @t745 () (@var "B_y" $$unsorted)) % 1.32/1.54 (define @t746 () (@list @t3 @t745)) % 1.32/1.54 (define @t747 () (@var "T_b" $$unsorted)) % 1.32/1.54 (define @t748 () (tptp.hAPP @t744 @t43)) % 1.32/1.54 (define @t749 () (tptp.hAPP @t748 @t42)) % 1.32/1.54 (define @t750 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.32/1.54 (define @t751 () (@var "B_K" $$unsorted)) % 1.32/1.54 (define @t752 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 (tptp.c_RealVector_Oof__real @t25 @t3)) (tptp.hAPP (tptp.hAPP @t16 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t3)) @t751)))) % 1.32/1.54 (define @t753 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t751)) % 1.32/1.54 (define @t754 () (@list @t751)) % 1.32/1.54 (define @t755 () (tptp.hAPP @t742 tptp.v_c____)) % 1.32/1.54 (define @t756 () (= @t755 @t78)) % 1.32/1.54 (define @t757 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t742 @t469))) % 1.32/1.54 (define @t758 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.32/1.54 (define @t759 () (= @t758 @t14)) % 1.32/1.54 (define @t760 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t108)) % 1.32/1.54 (define @t761 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t108 @t743)) % 1.32/1.54 (define @t762 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t684 @t335)) % 1.32/1.54 (define @t763 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.32/1.54 (define @t764 () (@list @t335 @t684)) % 1.32/1.54 (define @t765 () (tptp.hAPP @t750 @t86)) % 1.32/1.54 (define @t766 () (tptp.hAPP @t765 @t424)) % 1.32/1.54 (define @t767 () (tptp.hAPP @t765 @t426)) % 1.32/1.54 (define @t768 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t426 @t424)) % 1.32/1.54 (define @t769 () (@list @t424 @t426 @t86)) % 1.32/1.54 (define @t770 () (tptp.hAPP @t750 @t424)) % 1.32/1.54 (define @t771 () (tptp.hAPP @t770 @t86)) % 1.32/1.54 (define @t772 () (tptp.hAPP @t750 @t426)) % 1.32/1.54 (define @t773 () (tptp.hAPP @t772 @t86)) % 1.32/1.54 (define @t774 () (@list @t335)) % 1.32/1.54 (define @t775 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t86 @t84)) % 1.32/1.54 (define @t776 () (@var "V_z_H" $$unsorted)) % 1.32/1.54 (define @t777 () (@var "V_w_H" $$unsorted)) % 1.32/1.54 (define @t778 () (tptp.hAPP @t750 @t344)) % 1.32/1.54 (define @t779 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t108 @t348)) % 1.32/1.54 (define @t780 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t763 @t84)) % 1.32/1.54 (define @t781 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t426 @t424)) % 1.32/1.54 (define @t782 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t684 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t335 @t763))) % 1.32/1.54 (define @t783 () (tptp.hAPP @t750 @t84)) % 1.32/1.54 (define @t784 () (tptp.hAPP @t783 @t86)) % 1.32/1.54 (define @t785 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t84)) % 1.32/1.54 (define @t786 () (tptp.hAPP @t80 tptp.c_Complex_Oii)) % 1.32/1.54 (define @t787 () (tptp.hAPP (tptp.hAPP @t750 (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 @t43 @t84)) @t763)) @t153)) % 1.32/1.54 (define @t788 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t743 @t153)) % 1.32/1.54 (define @t789 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t86)) % 1.32/1.54 (define @t790 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t84 @t86)) % 1.32/1.54 (define @t791 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t86 @t84)) % 1.32/1.54 (define @t792 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t84 @t86)) % 1.32/1.54 (define @t793 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t108 @t348)) % 1.32/1.54 (define @t794 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t84 @t86)) % 1.32/1.54 (define @t795 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t84 @t789)) % 1.32/1.54 (define @t796 () (tptp.tc_Polynomial_Opoly @t25)) % 1.32/1.54 (define @t797 () (tptp.c_Groups_Ozero__class_Ozero @t796)) % 1.32/1.54 (define @t798 () (@var "V_pb_2" $$unsorted)) % 1.32/1.54 (define @t799 () (= @t798 @t797)) % 1.32/1.54 (define @t800 () (@list @t798 @t25)) % 1.32/1.54 (define @t801 () (tptp.hAPP @t742 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_c____ @t3))) % 1.32/1.54 (define @t802 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q____)) % 1.32/1.54 (define @t803 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t798)) % 1.32/1.54 (define @t804 () (@var "B_q" $$unsorted)) % 1.32/1.54 (define @t805 () (forall @t6 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t804) @t3) @t801))) % 1.32/1.54 (define @t806 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t804)) % 1.32/1.54 (define @t807 () (= @t806 @t758)) % 1.32/1.54 (define @t808 () (@list @t804)) % 1.32/1.54 (define @t809 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_q____)) % 1.32/1.54 (define @t810 () (tptp.hAPP @t802 @t78)) % 1.32/1.54 (define @t811 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t810)) % 1.32/1.54 (define @t812 () (tptp.c_Polynomial_Osmult tptp.tc_Complex_Ocomplex (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex @t810) tptp.v_q____)) % 1.32/1.54 (define @t813 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t812)) % 1.32/1.54 (define @t814 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 @t41)) % 1.32/1.54 (define @t815 () (= @t24 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t41 (tptp.hAPP (tptp.hAPP @t750 @t24) @t597)))) % 1.32/1.54 (define @t816 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t743 @t24)) % 1.32/1.54 (define @t817 () (@list @t597 @t41 @t24)) % 1.32/1.54 (define @t818 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t812)) % 1.32/1.54 (define @t819 () (tptp.hAPP @t818 @t78)) % 1.32/1.54 (define @t820 () (tptp.hAPP @t818 @t593)) % 1.32/1.54 (define @t821 () (@var "V_q_H" $$unsorted)) % 1.32/1.54 (define @t822 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t821 @t597)) % 1.32/1.54 (define @t823 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t267 @t110)) % 1.32/1.54 (define @t824 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t743 @t267)) % 1.32/1.54 (define @t825 () (@var "V_r_H" $$unsorted)) % 1.32/1.54 (define @t826 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 @t825)) % 1.32/1.54 (define @t827 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t41 @t110)) % 1.32/1.54 (define @t828 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t750 @t267) @t821) @t825)) % 1.32/1.54 (define @t829 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t828 @t743)) % 1.32/1.54 (define @t830 () (tptp.hAPP @t750 @t110)) % 1.32/1.54 (define @t831 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t830 @t597) @t41)) % 1.32/1.54 (define @t832 () (= @t831 @t828)) % 1.32/1.54 (define @t833 () (@list @t825 @t821 @t267 @t41 @t597 @t110)) % 1.32/1.54 (define @t834 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t597 @t821)) % 1.32/1.54 (define @t835 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t830 @t821) @t825) @t831)) % 1.32/1.54 (define @t836 () (@list @t41 @t597 @t825 @t821 @t110)) % 1.32/1.54 (define @t837 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t825 @t267)) % 1.32/1.54 (define @t838 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 @t828)) % 1.32/1.54 (define @t839 () (@list @t825 @t821 @t267)) % 1.32/1.54 (define @t840 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 @t43)) % 1.32/1.54 (define @t841 () (= @t598 @t797)) % 1.32/1.54 (define @t842 () (tptp.c_Polynomial_OpCons @t25 @t24 @t598)) % 1.32/1.54 (define @t843 () (tptp.c_Polynomial_Osmult @t25 @t156 @t598)) % 1.32/1.54 (define @t844 () (tptp.class_Rings_Ocomm__semiring__0 @t25)) % 1.32/1.54 (define @t845 () (@list @t24 @t598 @t156 @t25)) % 1.32/1.54 (define @t846 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 @t42)) % 1.32/1.54 (define @t847 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t82 (tptp.c_Polynomial_Omonom tptp.tc_Complex_Ocomplex tptp.v_a____ (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat tptp.v_k____ @t13)))) % 1.32/1.54 (define @t848 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t847)) % 1.32/1.54 (define @t849 () (tptp.c_Polynomial_Opoly @t25 @t598)) % 1.32/1.54 (define @t850 () (tptp.hAPP @t849 @t43)) % 1.32/1.54 (define @t851 () (tptp.c_Groups_Otimes__class_Otimes @t796)) % 1.32/1.54 (define @t852 () (tptp.c_Polynomial_OpCons @t25 @t24 @t797)) % 1.32/1.54 (define @t853 () (tptp.c_Groups_Oabs__class_Oabs @t796 @t43)) % 1.32/1.54 (define @t854 () (tptp.c_Orderings_Oord__class_Oless @t796 @t43 @t797)) % 1.32/1.54 (define @t855 () (@list @t598 @t25)) % 1.32/1.54 (define @t856 () (@list @t597 @t25)) % 1.32/1.54 (define @t857 () (tptp.hAPP @t851 @t598)) % 1.32/1.54 (define @t858 () (@var "V_qa_2" $$unsorted)) % 1.32/1.54 (define @t859 () (= @t798 @t858)) % 1.32/1.54 (define @t860 () (tptp.c_Polynomial_Opoly @t25 @t798)) % 1.32/1.54 (define @t861 () (and (tptp.class_Int_Oring__char__0 @t25) @t514)) % 1.32/1.54 (define @t862 () (tptp.c_Polynomial_OpCons @t25 @t102 @t798)) % 1.32/1.54 (define @t863 () (tptp.c_Polynomial_Osmult @t25 @t24 @t597)) % 1.32/1.54 (define @t864 () (tptp.c_Polynomial_Osmult @t25 @t24 @t598)) % 1.32/1.54 (define @t865 () (tptp.c_Groups_Ominus__class_Ominus @t796 @t598 @t597)) % 1.32/1.54 (define @t866 () (tptp.class_Rings_Ocomm__ring @t25)) % 1.32/1.54 (define @t867 () (@list @t597 @t598 @t24 @t25)) % 1.32/1.54 (define @t868 () (tptp.c_Groups_Ouminus__class_Ouminus @t796 @t864)) % 1.32/1.54 (define @t869 () (tptp.c_Groups_Ouminus__class_Ouminus @t796 @t598)) % 1.32/1.54 (define @t870 () (@list @t598 @t24 @t25)) % 1.32/1.54 (define @t871 () (tptp.hAPP @t857 @t597)) % 1.32/1.54 (define @t872 () (tptp.c_Polynomial_Osmult @t25 @t24 @t871)) % 1.32/1.54 (define @t873 () (@list @t597 @t24 @t598 @t25)) % 1.32/1.54 (define @t874 () (tptp.hAPP @t851 @t597)) % 1.32/1.54 (define @t875 () (tptp.c_Groups_Oplus__class_Oplus @t796 @t598 @t597)) % 1.32/1.54 (define @t876 () (tptp.c_Polynomial_Omonom @t25 @t102 @t95)) % 1.32/1.54 (define @t877 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t597) @t43)) % 1.32/1.54 (define @t878 () (@list @t43 @t597 @t598 @t25)) % 1.32/1.54 (define @t879 () (tptp.c_Groups_Oone__class_Oone @t796)) % 1.32/1.54 (define @t880 () (tptp.c_Power_Opower__class_Opower @t796)) % 1.32/1.54 (define @t881 () (tptp.c_Polynomial_OpCons @t25 @t110 @t597)) % 1.32/1.54 (define @t882 () (@list @t597 @t110 @t598 @t24 @t25)) % 1.32/1.54 (define @t883 () (tptp.c_Polynomial_Osmult @t25 @t110 @t598)) % 1.32/1.54 (define @t884 () (@list @t598 @t110 @t24 @t25)) % 1.32/1.54 (define @t885 () (tptp.tc_Polynomial_Opoly @t747)) % 1.32/1.54 (define @t886 () (tptp.c_Polynomial_Opoly @t25 @t797)) % 1.32/1.54 (define @t887 () (tptp.c_Polynomial_Omonom @t25 @t110 @t23)) % 1.32/1.54 (define @t888 () (tptp.c_Polynomial_Omonom @t25 @t24 @t23)) % 1.32/1.54 (define @t889 () (@list @t798 @t102 @t25)) % 1.32/1.54 (define @t890 () (tptp.c_Polynomial_Osmult @t25 @t102 @t798)) % 1.32/1.54 (define @t891 () (tptp.c_Polynomial_OpCons @t25 @t32 @t797)) % 1.32/1.54 (define @t892 () (@list @t43 @t598 @t24 @t25)) % 1.32/1.54 (define @t893 () (tptp.c_Polynomial_OpCons @t25 @t34 @t871)) % 1.32/1.54 (define @t894 () (tptp.hAPP @t849 @t156)) % 1.32/1.54 (define @t895 () (tptp.c_Polynomial_Osynthetic__div @t25 @t598 @t156)) % 1.32/1.54 (define @t896 () (tptp.c_Polynomial_Opcompose @t25 @t598 @t597)) % 1.32/1.54 (define @t897 () (tptp.c_Polynomial_OpCons @t25 @t894 @t895)) % 1.32/1.54 (define @t898 () (tptp.class_Orderings_Opreorder @t25)) % 1.32/1.54 (define @t899 () (tptp.tc_fun @t25 @t747)) % 1.32/1.54 (define @t900 () (tptp.c_Orderings_Oord__class_Oless__eq @t899 @t2 @t1)) % 1.32/1.54 (define @t901 () (tptp.class_Orderings_Oord @t747)) % 1.32/1.54 (define @t902 () (@list @t1 @t2 @t25 @t747)) % 1.32/1.54 (define @t903 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t42 @t43)) % 1.32/1.54 (define @t904 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t43 @t42)) % 1.32/1.54 (define @t905 () (tptp.class_Orderings_Olinorder @t25)) % 1.32/1.54 (define @t906 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t71 @t53)) % 1.32/1.54 (define @t907 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t53 @t71)) % 1.32/1.54 (define @t908 () (tptp.class_Orderings_Oorder @t25)) % 1.32/1.54 (define @t909 () (= @t907 @t438)) % 1.32/1.54 (define @t910 () (@list @t53 @t71 @t25)) % 1.32/1.54 (define @t911 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t24 @t156)) % 1.32/1.54 (define @t912 () (tptp.class_Orderings_Oord @t25)) % 1.32/1.54 (define @t913 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t156 @t24)) % 1.32/1.54 (define @t914 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t42 @t84)) % 1.32/1.54 (define @t915 () (@list @t43 @t42 @t25)) % 1.32/1.54 (define @t916 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t84 @t42)) % 1.32/1.54 (define @t917 () (@list @t84 @t43 @t42 @t25)) % 1.32/1.54 (define @t918 () (tptp.c_Orderings_Oord__class_Oless @t25 @t84 @t43)) % 1.32/1.54 (define @t919 () (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t84 @t42) @t918)) % 1.32/1.54 (define @t920 () (tptp.c_Orderings_Oord__class_Oless @t25 @t43 @t84)) % 1.32/1.54 (define @t921 () (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t42 @t84) @t920)) % 1.32/1.54 (define @t922 () (tptp.c_Orderings_Oord__class_Oless @t25 @t156 @t24)) % 1.32/1.54 (define @t923 () (tptp.c_Orderings_Oord__class_Oless @t25 @t24 @t156)) % 1.32/1.54 (define @t924 () (not @t197)) % 1.32/1.54 (define @t925 () (tptp.c_Orderings_Oord__class_Oless @t25 @t53 @t71)) % 1.32/1.54 (define @t926 () (not @t925)) % 1.32/1.54 (define @t927 () (= @t926 @t438)) % 1.32/1.54 (define @t928 () (tptp.c_Orderings_Oord__class_Oless @t25 @t71 @t53)) % 1.32/1.54 (define @t929 () (not @t111)) % 1.32/1.54 (define @t930 () (@var "B_a" $$unsorted)) % 1.32/1.54 (define @t931 () (tptp.c_RComplete_Onatceiling @t43)) % 1.32/1.54 (define @t932 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t43 @t8)) % 1.32/1.54 (define @t933 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t43 @t7)) % 1.32/1.54 (define @t934 () (tptp.c_RComplete_Onatceiling @t53)) % 1.32/1.54 (define @t935 () (@var "V_one_2" $$unsorted)) % 1.32/1.54 (define @t936 () (@var "V_times_2" $$unsorted)) % 1.32/1.54 (define @t937 () (@var "V_M_2" $$unsorted)) % 1.32/1.54 (define @t938 () (@var "V_X_2" $$unsorted)) % 1.32/1.54 (define @t939 () (tptp.hAPP @t938 @t937)) % 1.32/1.54 (define @t940 () (tptp.hAPP @t938 @t369)) % 1.32/1.54 (define @t941 () (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t937 @t369)) % 1.32/1.54 (define @t942 () (tptp.hAPP (tptp.hAPP @t16 (tptp.c_RealVector_Onorm__class_Onorm @t25 @t3)) @t751)) % 1.32/1.54 (define @t943 () (@var "B_b" $$unsorted)) % 1.32/1.54 (define @t944 () (tptp.c_RComplete_Onatfloor @t43)) % 1.32/1.54 (define @t945 () (tptp.c_RComplete_Onatfloor @t53)) % 1.32/1.54 (define @t946 () (tptp.c_RComplete_Onatfloor @t24)) % 1.32/1.54 (define @t947 () (tptp.c_Nat__Transfer_Otsub @t43 @t42)) % 1.32/1.54 (define @t948 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t42 @t43)) % 1.32/1.54 (define @t949 () (=> @t948 (= @t947 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t43 @t42)))) % 1.32/1.54 (define @t950 () (@list @t43 @t42)) % 1.32/1.54 (define @t951 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 @t416)) % 1.32/1.54 (define @t952 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 @t42)) % 1.32/1.54 (define @t953 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t416)) % 1.32/1.54 (define @t954 () (@list @t42 @t84 @t43)) % 1.32/1.54 (define @t955 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t23)) % 1.32/1.54 (define @t956 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t955 @t8)) % 1.32/1.54 (define @t957 () (@list @t43 @t23)) % 1.32/1.54 (define @t958 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t106)) % 1.32/1.54 (define @t959 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t308)) % 1.32/1.54 (define @t960 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t95)) % 1.32/1.54 (define @t961 () (tptp.c_Polynomial_Opos__poly @t25 @t597)) % 1.32/1.54 (define @t962 () (tptp.c_Polynomial_Opos__poly @t25 @t598)) % 1.32/1.54 (define @t963 () (@list @t597 @t598 @t25)) % 1.32/1.54 (define @t964 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t43)) % 1.32/1.54 (define @t965 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t98 @t106) @t23))) % 1.32/1.54 (define @t966 () (tptp.hAPP (tptp.hAPP @t10 @t958) @t23)) % 1.32/1.54 (define @t967 () (tptp.c_Polynomial_Opos__poly @t25 (tptp.c_Groups_Ominus__class_Ominus @t796 @t71 @t53))) % 1.32/1.54 (define @t968 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t95 @t308)) % 1.32/1.54 (define @t969 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t944)) % 1.32/1.54 (define @t970 () (@list @t24 @t43)) % 1.32/1.54 (define @t971 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t24)) % 1.32/1.54 (define @t972 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t102)) % 1.32/1.54 (define @t973 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t53)) % 1.32/1.54 (define @t974 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t43 @t971)) % 1.32/1.54 (define @t975 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t971 @t43)) % 1.32/1.54 (define @t976 () (@list @t43 @t24)) % 1.32/1.54 (define @t977 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t43 @t971)) % 1.32/1.54 (define @t978 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t598)) % 1.32/1.54 (define @t979 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t469 @t84))) % 1.32/1.54 (define @t980 () (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t71)) % 1.32/1.54 (define @t981 () (tptp.class_Lattices_Oboolean__algebra @t25)) % 1.32/1.54 (define @t982 () (@var "V_B_2" $$unsorted)) % 1.32/1.54 (define @t983 () (@var "V_A_2" $$unsorted)) % 1.32/1.54 (define @t984 () (tptp.hAPP @t983 @t53)) % 1.32/1.54 (define @t985 () (tptp.tc_fun @t747 @t25)) % 1.32/1.54 (define @t986 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t25)) % 1.32/1.54 (define @t987 () (tptp.c_Groups_Osgn__class_Osgn @t796 @t43)) % 1.32/1.54 (define @t988 () (tptp.c_Orderings_Oord__class_Oless @t796 @t797 @t43)) % 1.32/1.54 (define @t989 () (= @t43 @t797)) % 1.32/1.54 (define @t990 () (tptp.c_Groups_Osgn__class_Osgn @t25 @t102)) % 1.32/1.54 (define @t991 () (tptp.c_Groups_Osgn__class_Osgn @t25 @t43)) % 1.32/1.54 (define @t992 () (tptp.hAPP @t29 @t991)) % 1.32/1.54 (define @t993 () (tptp.c_Groups_Osgn__class_Osgn @t25 @t24)) % 1.32/1.54 (define @t994 () (= (tptp.c_Groups_Osgn__class_Osgn @t25 @t34) @t34)) % 1.32/1.54 (define @t995 () (tptp.class_Groups_Osgn__if @t25)) % 1.32/1.54 (define @t996 () (tptp.c_Groups_Oabs__class_Oabs @t25 @t344)) % 1.32/1.54 (define @t997 () (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t43)) % 1.32/1.54 (define @t998 () (not @t312)) % 1.32/1.54 (define @t999 () (tptp.c_RealVector_Onorm__class_Onorm @t25 @t991)) % 1.32/1.54 (define @t1000 () (@var "V_h" $$unsorted)) % 1.32/1.54 (define @t1001 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t25 @t598 @t1000)) % 1.32/1.54 (define @t1002 () (tptp.c_Rings_Odvd__class_Odvd @t25 @t43 @t42)) % 1.32/1.54 (define @t1003 () (tptp.c_Rings_Odvd__class_Odvd @t25 @t53 @t71)) % 1.32/1.54 (define @t1004 () (@var "V_ta_2" $$unsorted)) % 1.32/1.54 (define @t1005 () (@var "V_D_2" $$unsorted)) % 1.32/1.54 (define @t1006 () (tptp.class_Rings_Odvd @t25)) % 1.32/1.54 (define @t1007 () (tptp.c_Rings_Odvd__class_Odvd @t25 @t308 @t370)) % 1.32/1.54 (define @t1008 () (@list @t370 @t308 @t25)) % 1.32/1.54 (define @t1009 () (@var "V_h_2" $$unsorted)) % 1.32/1.54 (define @t1010 () (tptp.c_Rings_Odvd__class_Odvd @t25 @t24 @t156)) % 1.32/1.54 (define @t1011 () (tptp.c_Rings_Odvd__class_Odvd @t25 @t24 @t110)) % 1.32/1.54 (define @t1012 () (or (= @t208 @t34) (tptp.c_Rings_Odvd__class_Odvd @t25 @t102 @t101))) % 1.32/1.54 (define @t1013 () (@var "T_1" $$unsorted)) % 1.32/1.54 (define @t1014 () (tptp.tc_Polynomial_Opoly @t1013)) % 1.32/1.54 (define @t1015 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1013)) % 1.32/1.54 (define @t1016 () (@list @t1013)) % 1.32/1.54 (define @t1017 () (@var "T_2" $$unsorted)) % 1.32/1.54 (define @t1018 () (tptp.tc_fun @t1017 @t1013)) % 1.32/1.54 (define @t1019 () (@list @t1017 @t1013)) % 1.32/1.54 (define @t1020 () (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.32/1.54 (define @t1021 () (tptp.class_Rings_Oidom @t1013)) % 1.32/1.54 (define @t1022 () (tptp.class_Rings_Olinordered__idom @t1013)) % 1.32/1.54 (define @t1023 () (tptp.class_Rings_Ocomm__semiring__0 @t1013)) % 1.32/1.54 (define @t1024 () (tptp.class_Rings_Ocomm__semiring__1 @t1013)) % 1.32/1.54 (define @t1025 () (tptp.class_Groups_Ocomm__monoid__add @t1013)) % 1.32/1.54 (define @t1026 () (tptp.class_Groups_Oab__group__add @t1013)) % 1.32/1.54 (define @t1027 () (tptp.class_Rings_Ocomm__ring__1 @t1013)) % 1.32/1.54 (define @t1028 () (tptp.class_Rings_Ocomm__ring @t1013)) % 1.32/1.54 (define @t1029 () (tptp.hAPP @t16 @t11)) % 1.32/1.54 (define @t1030 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t1029 @t19) (tptp.hAPP @t1029 @t8))) % 1.32/1.54 (define @t1031 () (not @t192)) % 1.32/1.54 (define @t1032 () (not @t282)) % 1.32/1.54 (define @t1033 () (or @t1032 @t924 @t1031 @t199)) % 1.32/1.54 (define @t1034 () (or @t924 @t1031 @t199)) % 1.32/1.54 (define @t1035 () (not @t12)) % 1.32/1.54 (define @t1036 () (not @t20)) % 1.32/1.54 (define @t1037 () (not @t1020)) % 1.32/1.54 (define @t1038 () (or @t1037 @t1036 @t1035 @t1030)) % 1.32/1.54 (define @t1039 () (not @t1038)) % 1.32/1.54 (define @t1040 () (forall @t174 @t1033)) % 1.32/1.54 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.32/1.54 (assume @p2 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 tptp.v_t____)) % 1.32/1.54 (assume @p3 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_t____ @t8)) % 1.32/1.54 (assume @p4 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 tptp.v_m____)) % 1.32/1.54 (assume @p5 (not (= tptp.v_k____ @t9))) % 1.32/1.54 (assume @p6 @t12) % 1.32/1.54 (assume @p7 @t20) % 1.32/1.54 (assume @p8 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_t____ @t21)) % 1.32/1.54 (assume @p9 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t21)) % 1.32/1.54 (assume @p10 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t18 @t15) (tptp.hAPP @t22 @t15))) % 1.32/1.54 (assume @p11 (forall @t37 (=> @t36 (=> @t35 (=> @t33 (tptp.c_Orderings_Oord__class_Oless @t25 @t31 @t28)))))) % 1.32/1.54 (assume @p12 (forall (@list @t38) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t38) (exists (@list @t39) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t39) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t8) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t39 @t38)))))) % 1.32/1.54 (assume @p13 (forall @t52 (=> @t51 (=> @t50 (=> @t48 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t46 (tptp.hAPP (tptp.hAPP @t16 @t41) @t40))))))) % 1.32/1.54 (assume @p14 (forall @t58 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t56) @t55)))) % 1.32/1.54 (assume @p15 (forall @t37 (=> @t36 (=> @t59 (tptp.c_Orderings_Oord__class_Oless @t25 @t32 @t31))))) % 1.32/1.54 (assume @p16 (forall @t37 (=> @t36 (=> @t59 (tptp.c_Orderings_Oord__class_Oless @t25 @t28 @t31))))) % 1.32/1.54 (assume @p17 (forall @t63 (=> @t36 (=> @t62 (=> @t35 (=> @t33 (tptp.c_Orderings_Oord__class_Oless @t25 @t61 @t28))))))) % 1.32/1.54 (assume @p18 (forall @t65 (=> @t36 (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t64)))) % 1.32/1.54 (assume @p19 (forall @t70 (=> @t69 (not (tptp.c_Orderings_Oord__class_Oless @t25 @t68 @t34))))) % 1.32/1.54 (assume @p20 (forall @t77 (=> @t76 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t75) (or @t55 (not @t72)))))) % 1.32/1.54 (assume @p21 (not (= tptp.v_a____ @t78))) % 1.32/1.54 (assume @p22 (not (= tptp.v_w____ @t78))) % 1.32/1.54 (assume @p23 (= @t83 @t78)) % 1.32/1.54 (assume @p24 (forall @t87 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t86) (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 @t86 @t84)) @t85)))) % 1.32/1.54 (assume @p25 (forall @t91 (=> @t90 @t89))) % 1.32/1.54 (assume @p26 (forall @t91 (=> (and @t94 @t90) @t93))) % 1.32/1.54 (assume @p27 (forall @t100 (= @t99 (or @t97 @t96)))) % 1.32/1.54 (assume @p28 (forall @t105 (=> @t90 (= (= @t104 (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t101)) @t103)))) % 1.32/1.54 (assume @p29 (forall (@list @t23 @t106 @t108) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 @t108) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t109 @t106) (tptp.hAPP @t109 @t23)) @t107)))) % 1.32/1.54 (assume @p30 (forall @t114 (=> @t90 (=> @t113 @t111)))) % 1.32/1.54 (assume @p31 (forall @t114 (=> @t119 (=> @t113 (=> @t118 (=> @t116 @t111)))))) % 1.32/1.54 (assume @p32 (forall @t91 (=> @t119 (=> @t120 @t117)))) % 1.32/1.54 (assume @p33 (forall @t91 (=> @t119 (=> @t118 @t89)))) % 1.32/1.54 (assume @p34 (forall @t91 (=> @t119 (=> @t118 (not @t120))))) % 1.32/1.54 (assume @p35 (forall @t122 (=> @t90 (= (= @t104 @t34) @t121)))) % 1.32/1.54 (assume @p36 (forall @t65 (=> @t90 @t123))) % 1.32/1.54 (assume @p37 (forall @t65 (=> @t119 (= (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t32) @t32)))) % 1.32/1.54 (assume @p38 (forall @t37 (=> @t90 @t124))) % 1.32/1.54 (assume @p39 (forall @t130 (=> @t129 (= (tptp.hAPP @t27 @t128) (tptp.hAPP (tptp.hAPP @t26 @t125) @t23))))) % 1.32/1.54 (assume @p40 (forall @t91 (=> @t94 (=> @t118 @t93)))) % 1.32/1.54 (assume @p41 (forall @t135 (=> @t36 (=> (= @t28 @t134) (=> @t133 (=> @t132 (=> @t131 @t111))))))) % 1.32/1.54 (assume @p42 (forall @t63 (=> @t36 (=> @t137 (=> @t136 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t28 @t61)))))) % 1.32/1.54 (assume @p43 (forall @t63 (=> @t36 (=> @t137 (=> @t133 (=> @t138 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t61 @t28))))))) % 1.32/1.54 (assume @p44 (forall @t130 (=> @t36 (=> @t59 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t125 @t28) @t139))))) % 1.32/1.54 (assume @p45 (forall @t144 (=> @t36 (=> @t143 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t142 @t141) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t53 @t71)))))) % 1.32/1.54 (assume @p46 (forall @t114 (=> @t119 (=> @t118 (=> @t116 (= @t146 (tptp.hAPP (tptp.hAPP @t29 @t112) @t88))))))) % 1.32/1.54 (assume @p47 (forall @t114 (=> @t119 (=> (= @t145 @t32) (= @t88 @t110))))) % 1.32/1.54 (assume @p48 (forall @t37 (=> @t119 (=> @t118 @t124)))) % 1.32/1.54 (assume @p49 (forall @t114 (=> @t150 (=> (or (and @t133 @t149) (and @t148 @t132)) @t147)))) % 1.32/1.54 (assume @p50 (forall @t114 (=> @t152 (=> (or (and @t133 @t132) (and @t148 @t149)) @t151)))) % 1.32/1.54 (assume @p51 (forall @t163 (=> @t162 (=> @t161 (=> @t160 (=> @t132 @t159)))))) % 1.32/1.54 (assume @p52 (forall @t163 (=> @t162 (=> @t161 (=> @t160 (=> @t133 @t159)))))) % 1.32/1.54 (assume @p53 (forall @t170 (=> @t152 (=> @t169 (=> @t168 @t167))))) % 1.32/1.54 (assume @p54 (forall @t170 (=> @t152 (=> @t169 (=> @t168 @t172))))) % 1.32/1.54 (assume @p55 (forall @t174 (=> (tptp.class_Rings_Oordered__comm__semiring @t25) @t173))) % 1.32/1.54 (assume @p56 (forall @t174 (=> @t162 @t173))) % 1.32/1.54 (assume @p57 (forall @t174 (=> @t162 (=> @t161 (=> @t158 @t172))))) % 1.32/1.54 (assume @p58 (forall @t114 (=> @t152 (=> @t148 (=> @t149 @t151))))) % 1.32/1.54 (assume @p59 (forall @t114 (=> @t150 (=> @t148 (=> @t132 @t147))))) % 1.32/1.54 (assume @p60 (forall @t114 (=> @t150 (=> @t133 (=> @t149 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t175 @t34)))))) % 1.32/1.54 (assume @p61 (forall @t114 (=> @t150 (=> @t133 (=> @t149 @t147))))) % 1.32/1.54 (assume @p62 (forall @t114 (=> @t150 (=> @t133 (=> @t132 @t151))))) % 1.32/1.54 (assume @p63 (forall @t105 (=> @t76 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t181 @t34) (or (and @t179 @t178) (and @t177 @t176)))))) % 1.32/1.54 (assume @p64 (forall @t105 (=> @t76 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t181) (or (and @t179 @t176) (and @t177 @t178)))))) % 1.32/1.54 (assume @p65 (forall @t91 (=> @t69 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t182)))) % 1.32/1.54 (assume @p66 (forall @t65 (=> @t36 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t32)))) % 1.32/1.54 (assume @p67 (forall @t65 (=> @t36 (not (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t32 @t34))))) % 1.32/1.54 (assume @p68 (forall @t183 (=> @t36 (=> @t161 (=> @t133 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t28 @t134)))))) % 1.32/1.54 (assume @p69 (forall @t37 (=> @t36 (=> @t133 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t28))))) % 1.32/1.54 (assume @p70 (forall @t37 (=> @t36 (=> @t136 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t32 @t28))))) % 1.32/1.54 (assume @p71 (forall @t70 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t185 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t49 @t47))))) % 1.32/1.54 (assume @p72 (forall @t186 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t49)))) % 1.32/1.54 (assume @p73 (forall @t91 (=> @t187 (= (tptp.hAPP @t27 @t9) @t32)))) % 1.32/1.54 (assume @p74 (forall @t114 (=> @t119 (=> @t118 (=> @t116 (= @t190 (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP @t189 @t188)) @t112))))))) % 1.32/1.54 (assume @p75 (forall @t91 (=> @t119 @t191))) % 1.32/1.54 (assume @p76 (forall @t91 (=> @t119 (=> @t118 (= (tptp.hAPP @t30 @t88) @t32))))) % 1.32/1.54 (assume @p77 (forall @t195 (=> @t194 (=> @t167 @t193)))) % 1.32/1.54 (assume @p78 (forall @t196 (=> @t194 (=> @t172 @t193)))) % 1.32/1.54 (assume @p79 (forall @t195 (=> @t194 @t200))) % 1.32/1.54 (assume @p80 (forall @t195 (=> @t201 @t200))) % 1.32/1.54 (assume @p81 (forall @t196 (=> @t194 @t203))) % 1.32/1.54 (assume @p82 (forall @t196 (=> @t201 @t203))) % 1.32/1.54 (assume @p83 (forall @t163 (=> @t194 (=> @t161 (=> @t206 (=> @t35 @t205)))))) % 1.32/1.54 (assume @p84 (forall @t163 (=> @t194 (=> @t197 (=> @t160 (=> @t133 (=> @t192 @t204))))))) % 1.32/1.54 (assume @p85 (forall @t163 (=> @t194 (=> @t197 (=> @t206 (=> @t133 @t205)))))) % 1.32/1.54 (assume @p86 (forall @t163 (=> @t194 (=> @t197 (=> @t206 (=> @t207 @t205)))))) % 1.32/1.54 (assume @p87 (forall @t214 (=> @t76 (=> @t213 (= @t212 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t101 @t102)))))) % 1.32/1.54 (assume @p88 (forall @t214 (=> @t76 (=> @t216 (= @t212 @t215))))) % 1.32/1.54 (assume @p89 (forall @t77 (=> @t76 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t75 @t34) @t217)))) % 1.32/1.54 (assume @p90 (forall @t70 (=> @t69 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t68)))) % 1.32/1.54 (assume @p91 (forall @t70 (=> @t222 (=> @t221 (=> @t220 (=> @t219 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t218 @t43))))))) % 1.32/1.54 (assume @p92 (forall @t70 (=> @t222 (=> @t221 (=> @t220 (=> @t219 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t45 @t43))))))) % 1.32/1.54 (assume @p93 (forall @t135 (=> @t36 (=> @t223 (=> @t132 @t197))))) % 1.32/1.54 (assume @p94 (forall @t183 (=> @t36 (=> @t197 (=> @t133 (=> @t131 @t223)))))) % 1.32/1.54 (assume @p95 (forall @t58 (=> @t57 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t56 @t7) @t54)))) % 1.32/1.54 (assume @p96 (forall @t70 (=> @t51 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t46 @t224)))) % 1.32/1.54 (assume @p97 (forall @t37 (=> @t36 (=> @t59 (=> @t131 (tptp.c_Orderings_Oord__class_Oless @t25 @t32 @t28)))))) % 1.32/1.54 (assume @p98 (forall @t230 (=> @t229 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t228 @t225)))) % 1.32/1.54 (assume @p99 (forall @t237 (=> (tptp.class_Rings_Olinordered__semiring__1 @t25) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t43 @t24) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t42 @t24) (=> @t236 (=> @t235 (=> @t234 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t233 @t24))))))))) % 1.32/1.54 (assume @p100 (forall @t70 (=> @t222 @t243))) % 1.32/1.54 (assume @p101 (forall @t237 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t25) (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t43 @t24) (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t42 @t24) (=> @t236 (=> @t235 (=> @t234 (tptp.c_Orderings_Oord__class_Oless @t25 @t233 @t24))))))))) % 1.32/1.54 (assume @p102 (forall @t114 (=> @t245 (=> @t244 (or @t117 @t115))))) % 1.32/1.54 (assume @p103 (forall @t114 (=> @t245 (=> @t118 (=> @t116 (not @t244)))))) % 1.32/1.54 (assume @p104 (forall @t105 (=> (tptp.class_Rings_Oring__no__zero__divisors @t25) (= (= @t181 @t34) (or @t121 (= @t101 @t34)))))) % 1.32/1.54 (assume @p105 (forall @t186 (=> @t51 (= (tptp.hAPP @t44 @t34) @t34)))) % 1.32/1.54 (assume @p106 (forall @t91 (=> @t51 @t246))) % 1.32/1.54 (assume @p107 (forall @t91 (=> @t247 @t246))) % 1.32/1.54 (assume @p108 (forall @t249 (=> @t51 (= (tptp.hAPP @t248 @t42) @t34)))) % 1.32/1.54 (assume @p109 (forall (@list @t110 @t25) (=> @t51 (= (tptp.hAPP @t248 @t110) @t34)))) % 1.32/1.54 (assume @p110 (forall @t91 (=> @t247 @t250))) % 1.32/1.54 (assume @p111 (forall @t65 (=> @t251 (not (= @t34 @t32))))) % 1.32/1.54 (assume @p112 (forall @t65 (=> @t251 (not (= @t32 @t34))))) % 1.32/1.54 (assume @p113 (forall (@list @t156 @t110 @t252 @t24 @t25) (=> (tptp.class_Rings_Osemiring @t25) (= (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t30 @t252) (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t154 @t252) @t156)) (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t253 @t252) @t156))))) % 1.32/1.54 (assume @p114 (forall @t257 (=> @t51 (= (tptp.hAPP (tptp.hAPP @t29 @t184) @t254) (tptp.c_Groups_Oplus__class_Oplus @t25 @t256 @t255))))) % 1.32/1.54 (assume @p115 (forall @t260 (=> @t51 (= (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t258)) @t110) (tptp.c_Groups_Oplus__class_Oplus @t25 @t145 @t259))))) % 1.32/1.54 (assume @p116 (forall @t174 (=> (tptp.class_Rings_Ocomm__semiring @t25) @t261))) % 1.32/1.54 (assume @p117 (forall @t266 (=> @t51 (= (tptp.hAPP @t263 @t184) (tptp.c_Groups_Oplus__class_Oplus @t25 @t265 @t264))))) % 1.32/1.54 (assume @p118 (forall @t269 (=> @t51 (= (tptp.hAPP @t30 (tptp.c_Groups_Oplus__class_Oplus @t25 @t110 @t267)) (tptp.c_Groups_Oplus__class_Oplus @t25 @t145 @t268))))) % 1.32/1.54 (assume @p119 (forall @t37 (=> @t270 (=> @t118 (not (= @t28 @t34)))))) % 1.32/1.54 (assume @p120 (forall @t274 (=> (and @t187 @t247 @t245 @t251) (= (= @t273 @t34) (and @t121 @t271))))) % 1.32/1.54 (assume @p121 (forall @t183 (=> @t276 (= (tptp.hAPP (tptp.hAPP @t26 @t145) @t23) (tptp.hAPP @t275 @t134))))) % 1.32/1.54 (assume @p122 (forall @t37 (=> @t129 (= (tptp.hAPP @t275 @t24) @t31)))) % 1.32/1.54 (assume @p123 (forall @t277 (=> @t129 (= (tptp.hAPP (tptp.hAPP @t26 @t32) @t23) @t32)))) % 1.32/1.54 (assume @p124 (forall @t91 (=> @t129 (= (tptp.hAPP @t27 @t13) @t24)))) % 1.32/1.54 (assume @p125 (forall @t170 (=> @t76 (=> @t279 (=> @t278 @t199))))) % 1.32/1.54 (assume @p126 (forall @t170 (=> @t76 (=> @t279 (=> @t278 @t202))))) % 1.32/1.54 (assume @p127 @t283) % 1.32/1.54 (assume @p128 (forall @t174 (=> @t194 @t281))) % 1.32/1.54 (assume @p129 (forall @t174 (=> @t194 (=> @t197 (=> @t192 @t202))))) % 1.32/1.54 (assume @p130 (forall @t114 (=> @t76 (=> @t286 (=> @t285 @t284))))) % 1.32/1.54 (assume @p131 (forall @t114 (=> @t194 (=> @t286 (=> @t207 @t287))))) % 1.32/1.54 (assume @p132 (forall @t214 (=> @t76 (=> @t213 (= @t289 @t288))))) % 1.32/1.54 (assume @p133 (forall @t291 (=> @t194 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t175) @t290)))) % 1.32/1.54 (assume @p134 (forall @t114 (=> @t194 (=> @t284 @t290)))) % 1.32/1.54 (assume @p135 (forall @t114 (=> @t194 (=> @t35 (=> @t285 (tptp.c_Orderings_Oord__class_Oless @t25 @t175 @t34)))))) % 1.32/1.54 (assume @p136 (forall @t114 (=> @t194 (=> @t35 (=> @t285 @t287))))) % 1.32/1.54 (assume @p137 (forall @t114 (=> @t194 (=> @t35 (=> @t207 @t284))))) % 1.32/1.54 (assume @p138 (forall @t214 (=> @t76 (=> @t216 (= @t289 @t292))))) % 1.32/1.54 (assume @p139 (forall @t214 (=> @t76 (= @t289 @t293)))) % 1.32/1.54 (assume @p140 (forall @t297 (=> @t76 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t296 @t295) @t293)))) % 1.32/1.54 (assume @p141 (forall @t91 (=> @t69 (not (tptp.c_Orderings_Oord__class_Oless @t25 @t182 @t34))))) % 1.32/1.54 (assume @p142 (forall @t174 (=> @t36 (=> @t35 @t301)))) % 1.32/1.54 (assume @p143 (forall @t77 (=> @t76 (= (= @t75 @t34) @t217)))) % 1.32/1.54 (assume @p144 (forall @t65 (=> @t36 (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t32)))) % 1.32/1.54 (assume @p145 (forall @t65 (=> @t36 (not (tptp.c_Orderings_Oord__class_Oless @t25 @t32 @t34))))) % 1.32/1.54 (assume @p146 (forall (@list @t23 @t106 @t25) (=> @t36 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t32 @t106) (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t32 @t23) (tptp.c_Orderings_Oord__class_Oless @t25 @t32 (tptp.hAPP @t302 @t23))))))) % 1.32/1.54 (assume @p147 (forall @t37 (=> @t36 (=> @t35 (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t28))))) % 1.32/1.54 (assume @p148 (forall @t91 (=> @t36 (tptp.c_Orderings_Oord__class_Oless @t25 @t24 @t303)))) % 1.32/1.54 (assume @p149 (forall @t277 (=> (and @t187 @t307) (and (=> @t305 (= @t304 @t32)) (=> @t306 (= @t304 @t34)))))) % 1.32/1.54 (assume @p150 (forall @t63 (=> @t36 (=> @t62 (=> @t59 (tptp.c_Orderings_Oord__class_Oless @t25 @t28 @t61)))))) % 1.32/1.54 (assume @p151 (forall @t130 (=> @t36 (=> @t59 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t125 @t28) @t107))))) % 1.32/1.54 (assume @p152 (forall @t144 (=> @t36 (=> @t143 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t142 @t141) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t53 @t71)))))) % 1.32/1.54 (assume @p153 (forall (@list @t95 @t308 @t102 @t25) (=> @t36 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t32 @t102) (= (= (tptp.hAPP @t272 @t308) @t273) @t309))))) % 1.32/1.54 (assume @p154 (forall @t65 (=> @t57 (= (tptp.c_RealVector_Onorm__class_Onorm @t25 @t34) @t7)))) % 1.32/1.54 (assume @p155 (forall @t58 (=> @t57 (= (= @t56 @t7) @t54)))) % 1.32/1.54 (assume @p156 (forall @t130 (=> @t129 (= (tptp.hAPP @t27 @t310) (tptp.hAPP (tptp.hAPP @t29 @t125) @t28))))) % 1.32/1.54 (assume @p157 (forall @t52 (=> @t57 (=> @t50 (=> @t48 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t185 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t41 @t40))))))) % 1.32/1.54 (assume @p158 (forall @t70 (=> @t94 (= @t46 @t224)))) % 1.32/1.54 (assume @p159 (forall @t186 (=> @t57 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t49 @t7))))) % 1.32/1.54 (assume @p160 (forall @t65 (=> @t229 (= (tptp.c_RealVector_Onorm__class_Onorm @t25 @t32) @t8)))) % 1.32/1.54 (assume @p161 (forall @t230 (=> @t94 (= @t228 @t225)))) % 1.32/1.54 (assume @p162 (not (forall (@list @t311) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t311) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t311 @t8) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t311 @t21))))))) % 1.32/1.54 (assume @p163 (forall (@list @t43 @t41 @t25) (=> @t94 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t41 @t49) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t41) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 (tptp.c_Rings_Oinverse__class_Oinverse @t25 @t43)) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t41))))))) % 1.32/1.54 (assume @p164 (forall (@list @t42 @t43 @t156 @t25) (=> @t57 (=> @t314 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t49 (tptp.hAPP @t313 @t47)) @t312))))) % 1.32/1.54 (assume @p165 (forall @t315 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t23 @t9)))) % 1.32/1.54 (assume @p166 (forall @t91 (=> @t316 (=> @t35 (=> @t138 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t32 @t88)))))) % 1.32/1.54 (assume @p167 (forall @t58 (=> @t319 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t318 @t32) (or @t317 (tptp.c_Orderings_Oord__class_Oless @t25 @t32 @t53)))))) % 1.32/1.54 (assume @p168 (forall @t58 (=> @t319 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t32 @t318) (and @t320 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t53 @t32)))))) % 1.32/1.54 (assume @p169 (forall @t325 (=> @t324 (= (tptp.hAPP @t322 @t43) @t8)))) % 1.32/1.54 (assume @p170 (forall @t332 (=> @t331 (=> @t330 (=> @t329 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t322 @t42) (tptp.hAPP (tptp.hAPP @t16 @t327) @t232))))))) % 1.32/1.54 (assume @p171 (forall @t332 (=> @t331 (=> @t330 (=> @t329 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t16 @t42) @t321) (tptp.hAPP @t333 @t327))))))) % 1.32/1.54 (assume @p172 (forall @t338 (=> @t337 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t336 @t53) (tptp.hAPP @t336 @t71)) @t334)))) % 1.32/1.54 (assume @p173 (forall @t315 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t9 @t23))) % 1.32/1.54 (assume @p174 (forall @t315 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t23 @t23))) % 1.32/1.54 (assume @p175 (forall @t340 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t106 @t339))) % 1.32/1.54 (assume @p176 (forall @t340 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t106 (tptp.hAPP @t127 @t339)))) % 1.32/1.54 (assume @p177 (forall @t342 (= @t128 (tptp.hAPP @t341 @t106)))) % 1.32/1.54 (assume @p178 (forall @t342 (or @t139 @t343))) % 1.32/1.54 (assume @p179 (forall @t346 (= (tptp.hAPP (tptp.hAPP @t126 @t128) @t344) (tptp.hAPP @t127 @t345)))) % 1.32/1.54 (assume @p180 (forall @t342 (=> @t347 @t139))) % 1.32/1.54 (assume @p181 (forall @t354 (=> @t353 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t352 @t350)))) % 1.32/1.54 (assume @p182 (forall @t354 (=> @t353 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t357 @t356)))) % 1.32/1.54 (assume @p183 (forall @t354 (=> @t353 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t348 @t344) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t108 @t344))))) % 1.32/1.54 (assume @p184 (forall @t342 (=> @t139 (=> @t343 @t347)))) % 1.32/1.54 (assume @p185 (forall @t360 (=> @t353 (=> @t359 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t352 (tptp.hAPP @t349 @t358)))))) % 1.32/1.54 (assume @p186 (forall @t361 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t95 @t9) @t96))) % 1.32/1.54 (assume @p187 (forall @t342 (=> (or @t107 @t347) @t139))) % 1.32/1.54 (assume @p188 (forall @t342 (=> @t139 (=> @t362 @t107)))) % 1.32/1.54 (assume @p189 (forall @t342 (=> @t107 @t139))) % 1.32/1.54 (assume @p190 (forall @t365 (= @t364 (or @t363 @t309)))) % 1.32/1.54 (assume @p191 (forall @t365 (= @t363 (and @t364 @t366)))) % 1.32/1.54 (assume @p192 (forall @t367 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t23 @t310))) % 1.32/1.54 (assume @p193 (forall @t367 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t23 @t368))) % 1.32/1.54 (assume @p194 (forall @t373 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t370 @t371) (exists @t372 (= @t371 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t370 @t369)))))) % 1.32/1.54 (assume @p195 (forall @t365 (= @t364 (exists (@list @t374) (= @t95 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t308 @t374)))))) % 1.32/1.54 (assume @p196 (forall @t377 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t376 @t375) @t364))) % 1.32/1.54 (assume @p197 (forall @t379 (=> @t353 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t108 @t378)))) % 1.32/1.54 (assume @p198 (forall @t379 (=> @t353 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t108 @t380)))) % 1.32/1.54 (assume @p199 (forall @t354 (=> @t353 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t382 @t381)))) % 1.32/1.54 (assume @p200 (forall @t360 (=> @t353 (=> @t359 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t382 @t383))))) % 1.32/1.54 (assume @p201 (forall @t387 (=> @t386 @t384))) % 1.32/1.54 (assume @p202 (forall @t387 (=> @t386 @t139))) % 1.32/1.54 (assume @p203 (forall @t387 (=> @t386 (not (=> @t139 (not @t384)))))) % 1.32/1.54 (assume @p204 (forall @t393 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t392 @t390) @t389))) % 1.32/1.54 (assume @p205 (forall @t377 (= @t397 @t389))) % 1.32/1.54 (assume @p206 (forall @t393 (= (= @t392 @t390) @t399))) % 1.32/1.54 (assume @p207 (forall @t377 (= @t400 @t399))) % 1.32/1.54 (assume @p208 (forall @t365 (= (= @t402 @t9) (or @t401 @t96)))) % 1.32/1.54 (assume @p209 (forall @t340 (= (tptp.hAPP @t127 @t9) @t9))) % 1.32/1.54 (assume @p210 (forall @t315 (= (tptp.hAPP (tptp.hAPP @t126 @t9) @t23) @t9))) % 1.32/1.54 (assume @p211 (forall @t406 (=> @t405 (=> @t404 @t403)))) % 1.32/1.54 (assume @p212 (forall @t354 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t108 @t348) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t348 @t344) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t108 @t344))))) % 1.32/1.54 (assume @p213 (forall @t408 (=> @t407 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t84 @t43) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t84 @t42))))) % 1.32/1.54 (assume @p214 (forall @t406 (or @t405 @t404))) % 1.32/1.54 (assume @p215 (forall @t409 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t86 @t86))) % 1.32/1.54 (assume @p216 (forall (@list @t410 @t95 @t308) (=> (=> @t363 @t411) (=> (=> @t309 @t411) (=> (=> @t412 @t411) @t411))))) % 1.32/1.54 (assume @p217 (forall (@list @t413 @t40) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t413) (not (= @t40 @t413))))) % 1.32/1.54 (assume @p218 (forall @t367 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t23 @t106) @t362))) % 1.32/1.54 (assume @p219 (forall @t315 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t23 @t23)))) % 1.32/1.54 (assume @p220 (forall @t415 (=> @t242 (=> (not @t414) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t42 @t43))))) % 1.32/1.54 (assume @p221 (forall @t365 (= @t366 (or @t363 @t412)))) % 1.32/1.54 (assume @p222 (forall @t342 (= @t310 @t368))) % 1.32/1.54 (assume @p223 (forall @t408 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t416) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t42 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t84))))) % 1.32/1.54 (assume @p224 (forall @t346 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t310 @t344) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t417)))) % 1.32/1.54 (assume @p225 (forall @t377 (= (= @t376 @t375) @t309))) % 1.32/1.54 (assume @p226 (forall @t393 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t308 @t370) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t95 @t370)) @t309))) % 1.32/1.54 (assume @p227 (forall @t420 (= (tptp.hAPP @t355 @t310) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t419 @t418)))) % 1.32/1.54 (assume @p228 (forall @t346 (= (tptp.hAPP (tptp.hAPP @t126 @t310) @t344) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t421 @t345)))) % 1.32/1.54 (assume @p229 (forall @t406 (= (tptp.hAPP @t422 @t86) (tptp.hAPP (tptp.hAPP @t16 @t86) @t84)))) % 1.32/1.54 (assume @p230 (forall @t428 (= (tptp.hAPP (tptp.hAPP @t16 (tptp.hAPP @t427 @t424)) @t423) (tptp.hAPP @t427 (tptp.hAPP @t425 @t423))))) % 1.32/1.54 (assume @p231 (forall @t429 (= (tptp.hAPP (tptp.hAPP @t16 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t426 @t424)) @t86) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t427 @t86) (tptp.hAPP @t425 @t86))))) % 1.32/1.54 (assume @p232 (forall @t315 (= (tptp.hAPP (tptp.hAPP @t126 @t13) @t23) @t23))) % 1.32/1.54 (assume @p233 (forall @t365 (= (= @t13 @t402) @t430))) % 1.32/1.54 (assume @p234 (forall @t315 (= (tptp.hAPP @t341 @t13) @t23))) % 1.32/1.54 (assume @p235 (forall @t365 (= (= @t402 @t13) @t430))) % 1.32/1.54 (assume @p236 (forall @t65 (=> @t431 @t123))) % 1.32/1.54 (assume @p237 (forall @t315 (=> @t306 @t131))) % 1.32/1.54 (assume @p238 (forall @t354 (=> @t433 (=> @t432 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t357 @t356))))) % 1.32/1.54 (assume @p239 (forall @t354 (=> @t433 (=> @t432 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t352 @t350))))) % 1.32/1.54 (assume @p240 (forall @t342 (=> @t107 @t306))) % 1.32/1.54 (assume @p241 (forall @t393 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t392 @t390) @t434))) % 1.32/1.54 (assume @p242 (forall @t377 (= @t435 @t434))) % 1.32/1.54 (assume @p243 (forall @t365 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 @t402) (and @t437 @t436)))) % 1.32/1.54 (assume @p244 (forall @t361 (= @t271 @t436))) % 1.32/1.54 (assume @p245 (forall @t441 (= @t440 (and @t334 @t439)))) % 1.32/1.54 (assume @p246 (forall @t441 (= @t334 (or @t440 @t438)))) % 1.32/1.54 (assume @p247 (forall @t315 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t9 @t23) @t23))) % 1.32/1.54 (assume @p248 (forall @t340 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t9) @t106))) % 1.32/1.54 (assume @p249 (forall @t365 (= (= @t442 @t9) (and @t401 @t96)))) % 1.32/1.54 (assume @p250 (forall @t342 (=> (= @t310 @t106) @t305))) % 1.32/1.54 (assume @p251 (forall @t114 (=> @t431 (= @t146 (tptp.hAPP @t189 @t112))))) % 1.32/1.54 (assume @p252 (forall @t58 (=> @t431 (= (= @t318 @t32) @t443)))) % 1.32/1.54 (assume @p253 (forall (@list @t348 @t108) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t444 @t108)))) % 1.32/1.54 (assume @p254 (forall (@list @t108 @t348) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t445 @t108)))) % 1.32/1.54 (assume @p255 (forall @t377 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t376 @t375) @t363))) % 1.32/1.54 (assume @p256 (forall @t379 (=> @t433 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t378)))) % 1.32/1.54 (assume @p257 (forall @t379 (=> @t433 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t380)))) % 1.32/1.54 (assume @p258 (forall @t354 (=> @t433 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t382 @t381)))) % 1.32/1.54 (assume @p259 (forall @t360 (=> @t433 (=> @t446 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t382 @t383))))) % 1.32/1.54 (assume @p260 (forall (@list @t23 @t106 @t358 @t344) (=> @t446 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t358) @t447) @t107)))) % 1.32/1.54 (assume @p261 (forall @t354 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t444 @t344) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t344)))) % 1.32/1.54 (assume @p262 (forall @t449 (=> @t448 (= (= (tptp.hAPP (tptp.hAPP @t16 @t102) @t208) (tptp.hAPP (tptp.hAPP @t16 @t101) @t208)) @t103)))) % 1.32/1.54 (assume @p263 (forall @t449 (=> @t448 (= (= (tptp.hAPP @t450 @t102) (tptp.hAPP @t450 @t101)) @t103)))) % 1.32/1.54 (assume @p264 (forall @t441 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t454 (tptp.hAPP @t452 @t71)) @t7) (and @t451 (= @t71 @t7))))) % 1.32/1.54 (assume @p265 (forall @t342 (=> (= @t106 @t128) (or (= @t23 @t13) @t455)))) % 1.32/1.54 (assume @p266 (not (= @t7 @t8))) % 1.32/1.54 (assume @p267 (forall @t456 (= (tptp.hAPP @t22 @t84) @t84))) % 1.32/1.54 (assume @p268 (= (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t7) @t7)) % 1.32/1.54 (assume @p269 (forall @t122 (=> @t319 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t104 @t34) @t177)))) % 1.32/1.54 (assume @p270 (forall @t122 (=> @t319 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t104) @t179)))) % 1.32/1.54 (assume @p271 (forall @t122 (=> @t319 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t104) @t457)))) % 1.32/1.54 (assume @p272 (forall @t122 (=> @t319 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t104 @t34) @t458)))) % 1.32/1.54 (assume @p273 (forall @t91 (=> @t316 (=> @t35 @t459)))) % 1.32/1.54 (assume @p274 (forall @t91 (=> @t316 (=> @t459 (=> @t118 @t35))))) % 1.32/1.54 (assume @p275 (forall @t91 (=> @t316 (=> @t286 @t460)))) % 1.32/1.54 (assume @p276 (forall @t114 (=> @t316 (=> @t197 (=> @t35 @t461))))) % 1.32/1.54 (assume @p277 (forall @t114 (=> @t316 (=> @t197 (=> @t285 @t461))))) % 1.32/1.54 (assume @p278 (forall @t91 (=> @t316 (=> @t460 (=> @t118 @t286))))) % 1.32/1.54 (assume @p279 (forall @t114 (=> @t316 (=> @t462 (=> @t35 @t279))))) % 1.32/1.54 (assume @p280 (forall @t114 (=> @t316 (=> @t462 (=> @t285 @t279))))) % 1.32/1.54 (assume @p281 (forall @t365 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 @t442) (or @t437 @t436)))) % 1.32/1.54 (assume @p282 (forall @t338 (=> @t337 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t464 @t463) @t440)))) % 1.32/1.54 (assume @p283 (forall @t415 (=> @t331 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t42) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t465))))) % 1.32/1.54 (assume @p284 (forall (@list @t42 @t43 @t84) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t84) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t43 @t42) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t422 @t43) (tptp.hAPP @t422 @t42)))))) % 1.32/1.54 (assume @p285 (forall @t114 (=> @t316 (=> @t161 (=> @t35 @t466))))) % 1.32/1.54 (assume @p286 (forall @t114 (=> @t316 (=> @t161 (=> @t285 @t466))))) % 1.32/1.54 (assume @p287 (forall @t114 (=> @t316 (=> @t467 (=> @t35 @t169))))) % 1.32/1.54 (assume @p288 (forall @t114 (=> @t316 (=> @t467 (=> @t285 @t169))))) % 1.32/1.54 (assume @p289 (forall @t58 (=> @t319 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t318 @t32) (or @t317 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t32 @t53)))))) % 1.32/1.54 (assume @p290 (forall @t114 (=> @t468 (=> @t118 (=> @t116 (= @t190 (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP @t253 @t88)) @t112))))))) % 1.32/1.54 (assume @p291 (forall @t58 (=> @t319 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t32 @t318) (and @t320 (tptp.c_Orderings_Oord__class_Oless @t25 @t53 @t32)))))) % 1.32/1.54 (assume @p292 (forall @t91 (=> @t316 (=> @t35 (=> @t33 (tptp.c_Orderings_Oord__class_Oless @t25 @t32 @t88)))))) % 1.32/1.54 (assume @p293 (forall @t91 (=> @t468 @t191))) % 1.32/1.54 (assume @p294 (forall @t338 (=> @t337 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t464 @t463) @t334)))) % 1.32/1.54 (assume @p295 (not (forall @t470 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t82 (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP (tptp.hAPP @t79 @t469) tptp.v_k____)) tptp.v_a____)) @t78))))) % 1.32/1.54 (assume @p296 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t83 @t82) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t78 @t82))) % 1.32/1.54 (assume @p297 (= @t81 @t471)) % 1.32/1.54 (assume @p298 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t473) @t15)) % 1.32/1.54 (assume @p299 (forall @t377 (=> @t388 (= @t397 @t364)))) % 1.32/1.54 (assume @p300 (forall @t114 (=> @t475 (=> @t35 (=> @t132 @t474))))) % 1.32/1.54 (assume @p301 (forall @t114 (=> @t475 (=> @t133 @t476)))) % 1.32/1.54 (assume @p302 (forall @t174 (=> @t475 (=> @t35 (=> @t477 @t299))))) % 1.32/1.54 (assume @p303 (forall @t91 (=> @t479 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t34 @t24) @t478)))) % 1.32/1.54 (assume @p304 (forall @t114 (=> @t479 @t482))) % 1.32/1.54 (assume @p305 (forall @t114 (=> @t483 @t482))) % 1.32/1.54 (assume @p306 (forall @t114 (=> @t479 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t24 @t480) @t188)))) % 1.32/1.54 (assume @p307 (forall @t91 (=> @t479 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t24 @t34) @t24)))) % 1.32/1.54 (assume @p308 (forall @t91 (=> @t479 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t24 @t24) @t34)))) % 1.32/1.54 (assume @p309 (forall @t105 (=> @t483 (= @t103 @t485)))) % 1.32/1.54 (assume @p310 (forall @t105 (=> @t479 (= @t485 @t103)))) % 1.32/1.54 (assume @p311 (forall @t65 (=> @t479 (= (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t34) @t34)))) % 1.32/1.54 (assume @p312 (forall @t122 (=> @t479 (= (= @t34 @t486) (= @t34 @t102))))) % 1.32/1.54 (assume @p313 (forall @t122 (=> @t487 (= (= @t102 @t486) @t121)))) % 1.32/1.54 (assume @p314 (forall @t122 (=> @t479 (= (= @t486 @t34) @t121)))) % 1.32/1.54 (assume @p315 (forall @t122 (=> @t487 (= (= @t486 @t102) @t121)))) % 1.32/1.54 (assume @p316 (forall @t491 (=> @t490 (=> @t489 (= @t215 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t208 @t488)))))) % 1.32/1.54 (assume @p317 (forall @t114 (=> @t490 (=> @t161 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t480 @t478))))) % 1.32/1.54 (assume @p318 (forall @t493 (=> @t490 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t492 @t486) @t215)))) % 1.32/1.54 (assume @p319 (forall @t105 (=> @t490 (= @t494 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t492 @t102))))) % 1.32/1.54 (assume @p320 (forall @t105 (=> @t490 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t102 @t492) (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t101 @t486))))) % 1.32/1.54 (assume @p321 (forall @t491 (=> @t490 (=> @t489 (= @t292 (tptp.c_Orderings_Oord__class_Oless @t25 @t208 @t488)))))) % 1.32/1.54 (assume @p322 (forall @t105 (=> @t490 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t102 @t492) (tptp.c_Orderings_Oord__class_Oless @t25 @t101 @t486))))) % 1.32/1.54 (assume @p323 (forall @t105 (=> @t490 (= @t495 (tptp.c_Orderings_Oord__class_Oless @t25 @t492 @t102))))) % 1.32/1.54 (assume @p324 (forall @t493 (=> @t490 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t492 @t486) @t292)))) % 1.32/1.54 (assume @p325 (forall @t114 (=> @t479 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t481 @t110) @t24)))) % 1.32/1.54 (assume @p326 (forall @t114 (=> @t479 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t188 @t110) @t24)))) % 1.32/1.54 (assume @p327 (forall @t114 (=> @t483 (= @t496 (tptp.c_Groups_Oplus__class_Oplus @t25 @t478 @t480))))) % 1.32/1.54 (assume @p328 (forall @t114 (=> @t479 (= @t496 (tptp.c_Groups_Oplus__class_Oplus @t25 @t480 @t478))))) % 1.32/1.54 (assume @p329 (forall @t114 (=> @t479 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 (tptp.c_Groups_Oplus__class_Oplus @t25 @t478 @t110)) @t110)))) % 1.32/1.54 (assume @p330 (forall @t114 (=> @t479 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t478 @t188) @t110)))) % 1.32/1.54 (assume @p331 (forall @t91 (=> @t479 (= (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t478) @t24)))) % 1.32/1.54 (assume @p332 (forall @t114 (=> @t483 (= @t498 @t497)))) % 1.32/1.54 (assume @p333 (forall @t105 (=> @t479 (= @t499 (= @t101 @t486))))) % 1.32/1.54 (assume @p334 (forall @t105 (=> @t479 (= (= @t486 @t101) (= @t492 @t102))))) % 1.32/1.54 (assume @p335 (forall @t105 (=> @t479 (= (= @t486 @t492) @t103)))) % 1.32/1.54 (assume @p336 (forall @t491 (=> @t483 (=> @t489 (= @t103 @t500))))) % 1.32/1.54 (assume @p337 (forall @t77 (=> @t502 (= (= @t501 (tptp.c_RealVector_Oof__real @t25 @t71)) @t438)))) % 1.32/1.54 (assume @p338 (forall @t70 (=> @t507 @t506))) % 1.32/1.54 (assume @p339 (forall @t70 (=> @t502 @t506))) % 1.32/1.54 (assume @p340 (forall @t186 (=> @t507 @t509))) % 1.32/1.54 (assume @p341 (forall @t186 (=> @t502 @t509))) % 1.32/1.54 (assume @p342 (forall @t114 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t512 @t510)))) % 1.32/1.54 (assume @p343 (forall @t257 (=> @t51 (= (tptp.hAPP (tptp.hAPP @t29 @t513) @t254) (tptp.c_Groups_Ominus__class_Ominus @t25 @t256 @t255))))) % 1.32/1.54 (assume @p344 (forall @t260 (=> @t51 (= (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Groups_Ominus__class_Ominus @t25 @t24 @t258)) @t110) (tptp.c_Groups_Ominus__class_Ominus @t25 @t145 @t259))))) % 1.32/1.54 (assume @p345 (forall @t266 (=> @t51 (= (tptp.hAPP @t263 @t513) (tptp.c_Groups_Ominus__class_Ominus @t25 @t265 @t264))))) % 1.32/1.54 (assume @p346 (forall @t269 (=> @t51 (= (tptp.hAPP @t30 (tptp.c_Groups_Ominus__class_Ominus @t25 @t110 @t267)) (tptp.c_Groups_Ominus__class_Ominus @t25 @t145 @t268))))) % 1.32/1.54 (assume @p347 (forall @t105 (=> @t514 (= (= (tptp.hAPP @t180 @t102) (tptp.hAPP @t294 @t101)) (or @t103 @t499))))) % 1.32/1.54 (assume @p348 (forall @t114 (=> @t516 (= (tptp.hAPP @t515 @t480) @t145)))) % 1.32/1.54 (assume @p349 (forall @t114 (=> @t516 (= @t518 @t517)))) % 1.32/1.54 (assume @p350 (forall @t70 (=> @t51 (= (tptp.hAPP (tptp.hAPP @t29 @t519) @t42) (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t45))))) % 1.32/1.54 (assume @p351 (forall @t114 (=> @t51 (= @t518 @t520)))) % 1.32/1.54 (assume @p352 (forall (@list @t43 @t262 @t25) (=> @t51 (= (tptp.hAPP @t263 @t519) (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t265))))) % 1.32/1.54 (assume @p353 (forall @t114 (=> @t51 (= @t517 @t520)))) % 1.32/1.54 (assume @p354 (forall @t114 (=> @t516 (= @t520 @t518)))) % 1.32/1.54 (assume @p355 (forall @t114 (=> @t516 (= @t520 @t517)))) % 1.32/1.54 (assume @p356 (forall @t114 (=> @t57 (= @t510 (tptp.c_RealVector_Onorm__class_Onorm @t25 @t497))))) % 1.32/1.54 (assume @p357 (forall @t186 (=> @t57 (= (tptp.c_RealVector_Onorm__class_Onorm @t25 @t519) @t49)))) % 1.32/1.54 (assume @p358 (forall @t91 (=> @t90 @t521))) % 1.32/1.54 (assume @p359 (forall @t105 (=> @t490 (= @t215 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t484 @t34))))) % 1.32/1.54 (assume @p360 (forall @t105 (=> @t490 (= @t292 (tptp.c_Orderings_Oord__class_Oless @t25 @t484 @t34))))) % 1.32/1.54 (assume @p361 (forall @t122 (=> @t490 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t486) @t177)))) % 1.32/1.54 (assume @p362 (forall @t122 (=> @t487 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t102 @t486) @t177)))) % 1.32/1.54 (assume @p363 (forall @t122 (=> @t490 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t486 @t34) @t179)))) % 1.32/1.54 (assume @p364 (forall @t122 (=> @t487 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t486 @t102) @t179)))) % 1.32/1.54 (assume @p365 (forall @t122 (=> @t487 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t486 @t102) @t457)))) % 1.32/1.54 (assume @p366 (forall @t122 (=> @t490 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t486 @t34) @t457)))) % 1.32/1.54 (assume @p367 (forall @t122 (=> @t490 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t486) @t458)))) % 1.32/1.54 (assume @p368 (forall @t114 (=> @t479 (=> (= @t188 @t34) (= @t478 @t110))))) % 1.32/1.54 (assume @p369 (forall @t91 (=> @t483 @t522))) % 1.32/1.54 (assume @p370 (forall @t91 (=> @t479 @t522))) % 1.32/1.54 (assume @p371 (forall @t105 (=> @t479 (= @t499 (= @t523 @t34))))) % 1.32/1.54 (assume @p372 (forall @t91 (=> @t479 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t478) @t34)))) % 1.32/1.54 (assume @p373 (forall @t122 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t102 @t486) @t458)))) % 1.32/1.54 (assume @p374 (forall @t58 (=> @t502 (= (= @t501 @t34) @t451)))) % 1.32/1.54 (assume @p375 (forall @t65 (=> @t507 @t524))) % 1.32/1.54 (assume @p376 (forall @t65 (=> @t502 @t524))) % 1.32/1.54 (assume @p377 (forall @t77 (=> @t479 (= @t526 (= @t71 @t525))))) % 1.32/1.54 (assume @p378 (forall @t532 (=> @t516 (= @t531 (= @t528 @t488))))) % 1.32/1.54 (assume @p379 (forall @t532 (=> @t516 (= @t531 (= @t208 @t533))))) % 1.32/1.54 (assume @p380 (forall @t538 (=> @t51 (= @t537 (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t535 @t534) @t536) (tptp.hAPP @t30 @t534)))))) % 1.32/1.54 (assume @p381 (forall @t538 (=> @t516 (= @t537 (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t44 @t534) @t536))))) % 1.32/1.54 (assume @p382 (forall @t58 (=> @t270 (= (= @t74 @t32) (or @t443 (= @t53 @t539)))))) % 1.32/1.54 (assume @p383 (forall @t70 (=> @t502 (= (tptp.c_RealVector_Oof__real @t25 @t465) (tptp.hAPP (tptp.hAPP @t29 @t504) @t503))))) % 1.32/1.54 (assume @p384 (forall @t70 (=> @t507 @t541))) % 1.32/1.54 (assume @p385 (forall @t70 (=> @t502 @t541))) % 1.32/1.54 (assume @p386 (forall @t65 (=> @t502 (= (tptp.c_RealVector_Oof__real @t25 @t8) @t32)))) % 1.32/1.54 (assume @p387 (forall @t91 (=> @t119 (=> @t118 @t521)))) % 1.32/1.54 (assume @p388 (forall @t230 (=> @t502 (= (tptp.c_RealVector_Oof__real @t25 @t542) (tptp.hAPP (tptp.hAPP @t26 @t504) @t23))))) % 1.32/1.54 (assume @p389 (forall @t186 (=> (and @t544 @t90) @t543))) % 1.32/1.54 (assume @p390 (forall @t545 (= (tptp.hAPP (tptp.hAPP @t79 (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t43)) @t23) (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t542)))) % 1.32/1.54 (assume @p391 (forall @t532 (=> @t152 (= @t546 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t528 @t488))))) % 1.32/1.54 (assume @p392 (forall @t532 (=> @t152 (= @t546 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t208 @t533))))) % 1.32/1.54 (assume @p393 (forall @t532 (=> @t152 (= @t547 (tptp.c_Orderings_Oord__class_Oless @t25 @t528 @t488))))) % 1.32/1.54 (assume @p394 (forall @t532 (=> @t152 (= @t547 (tptp.c_Orderings_Oord__class_Oless @t25 @t208 @t533))))) % 1.32/1.54 (assume @p395 (forall @t186 (=> @t548 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t67 @t32) (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Groups_Oplus__class_Oplus @t25 @t43 @t32)) (tptp.c_Groups_Ominus__class_Ominus @t25 @t43 @t32)))))) % 1.32/1.54 (assume @p396 (forall @t114 (=> @t119 (=> @t118 (=> @t116 (= @t549 (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP @t189 @t497)) @t112))))))) % 1.32/1.54 (assume @p397 (forall @t37 (=> @t548 (= @t550 (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP (tptp.hAPP @t26 @t539) @t23)) @t28))))) % 1.32/1.54 (assume @p398 (forall @t114 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t510 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t92 @t511))))) % 1.32/1.54 (assume @p399 (forall @t186 (=> @t544 (=> @t324 @t543)))) % 1.32/1.54 (assume @p400 (forall @t58 (=> @t551 (= (= @t34 @t53) @t54)))) % 1.32/1.54 (assume @p401 (forall @t174 (=> (tptp.class_Groups_Oab__semigroup__mult @t25) (= (tptp.hAPP (tptp.hAPP @t29 @t145) @t156) (tptp.hAPP @t30 @t171))))) % 1.32/1.54 (assume @p402 (forall @t170 (=> @t554 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t110 @t24) @t553) @t552)))) % 1.32/1.54 (assume @p403 (forall @t174 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t25) @t555))) % 1.32/1.54 (assume @p404 (forall @t174 (=> @t554 @t555))) % 1.32/1.54 (assume @p405 (forall (@list @t208 @t102 @t101 @t25) (=> @t554 (= (= @t558 @t557) @t556)))) % 1.32/1.54 (assume @p406 (forall (@list @t208 @t101 @t102 @t25) (=> @t554 (= (= @t523 @t559) @t556)))) % 1.32/1.54 (assume @p407 (forall @t174 (=> (tptp.class_Groups_Oab__semigroup__add @t25) @t562))) % 1.32/1.54 (assume @p408 (forall @t58 (=> (tptp.class_Groups_Oone @t25) (= (= @t32 @t53) @t443)))) % 1.32/1.54 (assume @p409 (forall @t163 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 @t566) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 @t564) (tptp.c_RealVector_Onorm__class_Onorm @t25 @t563)))))) % 1.32/1.54 (assume @p410 (forall @t91 (=> @t568 @t567))) % 1.32/1.54 (assume @p411 (forall @t91 (=> @t569 @t567))) % 1.32/1.54 (assume @p412 (forall @t122 (=> @t487 (= (= @t34 @t570) @t121)))) % 1.32/1.54 (assume @p413 (forall @t91 (=> @t568 @t571))) % 1.32/1.54 (assume @p414 (forall @t91 (=> @t569 @t571))) % 1.32/1.54 (assume @p415 (forall @t195 (=> @t574 (=> @t573 @t161)))) % 1.32/1.54 (assume @p416 (forall @t196 (=> @t574 (=> @t575 @t161)))) % 1.32/1.54 (assume @p417 (forall @t163 (=> @t577 (=> @t161 (=> @t160 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t298 @t576)))))) % 1.32/1.54 (assume @p418 (forall @t174 (=> @t577 (=> @t161 @t573)))) % 1.32/1.54 (assume @p419 (forall @t174 (=> @t577 (=> @t161 @t575)))) % 1.32/1.54 (assume @p420 (forall @t214 (=> @t574 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t557 @t578) @t215)))) % 1.32/1.54 (assume @p421 (forall @t297 (=> @t574 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t559 @t579) @t215)))) % 1.32/1.54 (assume @p422 (forall @t195 (=> @t574 (=> @t580 @t197)))) % 1.32/1.54 (assume @p423 (forall @t196 (=> @t574 (=> @t581 @t197)))) % 1.32/1.54 (assume @p424 (forall @t163 (=> @t584 (=> @t197 @t583)))) % 1.32/1.54 (assume @p425 (forall @t174 (=> @t584 (=> @t197 @t580)))) % 1.32/1.54 (assume @p426 (forall @t174 (=> @t584 (=> @t197 @t581)))) % 1.32/1.54 (assume @p427 (forall @t214 (=> @t574 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t557 @t578) @t292)))) % 1.32/1.54 (assume @p428 (forall @t297 (=> @t574 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t559 @t579) @t292)))) % 1.32/1.54 (assume @p429 (forall @t91 (=> @t276 @t585))) % 1.32/1.54 (assume @p430 (forall @t91 (=> @t129 @t585))) % 1.32/1.54 (assume @p431 (forall @t91 (=> @t276 @t586))) % 1.32/1.54 (assume @p432 (forall @t91 (=> @t129 @t586))) % 1.32/1.54 (assume @p433 (forall @t377 (= @t400 (or @t398 @t309)))) % 1.32/1.54 (assume @p434 (forall (@list @t344 @t348 @t232 @t108) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t588 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t587 @t344)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t126 @t444) @t232) @t344)))) % 1.32/1.54 (assume @p435 (forall @t114 (=> @t475 (=> @t148 (=> @t149 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t188 @t34)))))) % 1.32/1.54 (assume @p436 (forall (@list @t24 @t110 @t156 @t25) (=> @t475 (=> @t158 (=> @t169 @t589))))) % 1.32/1.54 (assume @p437 (forall @t174 (=> @t475 (=> @t133 (=> @t477 @t589))))) % 1.32/1.54 (assume @p438 (forall @t77 (=> @t475 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t53) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t71) (= @t526 @t217)))))) % 1.32/1.54 (assume @p439 (forall @t114 (=> @t475 (=> @t133 (=> @t132 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t188)))))) % 1.32/1.54 (assume @p440 (forall @t122 (=> @t487 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t570 @t34) @t177)))) % 1.32/1.54 (assume @p441 (forall @t122 (=> @t487 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t570) @t179)))) % 1.32/1.54 (assume @p442 (forall @t114 (=> @t475 (=> @t286 @t591)))) % 1.32/1.54 (assume @p443 (forall @t114 (=> @t475 (=> @t35 @t476)))) % 1.32/1.54 (assume @p444 (forall @t122 (=> @t487 @t592))) % 1.32/1.54 (assume @p445 (forall @t122 (=> @t487 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t570) @t457)))) % 1.32/1.54 (assume @p446 (forall @t163 (=> @t584 (=> @t161 @t583)))) % 1.32/1.54 (assume @p447 (forall @t163 (=> @t584 (=> @t197 (=> @t160 @t582))))) % 1.32/1.54 (assume @p448 (forall @t377 (=> @t388 (= @t400 @t309)))) % 1.32/1.54 (assume @p449 (forall @t377 (=> @t388 (= @t435 @t363)))) % 1.32/1.54 (assume @p450 (forall @t114 (=> @t475 (=> @t148 @t591)))) % 1.32/1.54 (assume @p451 (forall @t114 (=> @t475 (=> @t286 (=> @t149 @t590))))) % 1.32/1.54 (assume @p452 (forall @t174 (=> @t475 (=> @t133 @t301)))) % 1.32/1.54 (assume @p453 (forall @t114 (=> @t119 (=> @t118 (=> @t116 (= @t549 (tptp.c_Groups_Ouminus__class_Ouminus @t25 (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP @t189 @t481)) @t112)))))))) % 1.32/1.54 (assume @p454 (forall @t415 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t43 @t42) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t43 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t42))))) % 1.32/1.54 (assume @p455 (forall (@list @t23 @t110) (=> (not (= @t110 @t78)) (=> @t306 (exists @t595 (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 @t82 (tptp.hAPP (tptp.hAPP @t80 @t110) (tptp.hAPP @t594 @t23)))) @t8)))))) % 1.32/1.54 (assume @p456 (forall @t100 (= @t99 (or @t96 @t97)))) % 1.32/1.54 (assume @p457 (forall @t596 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t454)) @t451))) % 1.32/1.54 (assume @p458 (forall @t602 (=> @t601 (= (tptp.hAPP (tptp.hAPP @t29 @t600) @t599) (tptp.hAPP @t226 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t598 @t597)))))) % 1.32/1.54 (assume @p459 (forall (@list @t40 @t41) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t41 @t40) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t41 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t40))))) % 1.32/1.54 (assume @p460 (forall @t415 (= @t505 @t603))) % 1.32/1.54 (assume @p461 (forall @t342 (=> @t605 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t23 @t106) @t9) @t347)))) % 1.32/1.54 (assume @p462 (forall @t340 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t106 @t106) @t9))) % 1.32/1.54 (assume @p463 (forall @t340 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t106 @t9) @t106))) % 1.32/1.54 (assume @p464 (forall @t315 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t9 @t23) @t9))) % 1.32/1.54 (assume @p465 (forall @t608 (=> @t107 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t106 @t358) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t607 @t606))))) % 1.32/1.54 (assume @p466 (forall (@list @t23 @t344 @t348) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t348 @t344) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t348 @t23) @t344)))) % 1.32/1.54 (assume @p467 (forall @t342 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t310 @t23) @t106))) % 1.32/1.54 (assume @p468 (forall @t367 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t368 @t23) @t106))) % 1.32/1.54 (assume @p469 (forall @t354 (= @t610 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t381)))) % 1.32/1.54 (assume @p470 (forall @t420 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t344 @t106) @t447) @t604))) % 1.32/1.54 (assume @p471 (forall @t387 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t385 @t417) @t604))) % 1.32/1.54 (assume @p472 (forall @t342 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t604 @t106))) % 1.32/1.54 (assume @p473 (forall @t608 (=> @t139 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t607 @t606)))) % 1.32/1.54 (assume @p474 (forall @t608 (=> @t139 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t106 @t358) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t23 @t358))))) % 1.32/1.54 (assume @p475 (forall (@list @t23 @t108) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t108 @t23) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t23 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t23 @t108)) @t108)))) % 1.32/1.54 (assume @p476 (forall @t377 (=> @t614 (=> @t613 (= (= @t612 @t611) @t309))))) % 1.32/1.54 (assume @p477 (forall @t420 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t344 @t106) (=> @t384 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t106 @t344) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t23 @t344)) @t604))))) % 1.32/1.54 (assume @p478 (forall @t377 (=> @t614 (=> @t613 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t612 @t611) @t364))))) % 1.32/1.54 (assume @p479 (forall @t420 (= (tptp.hAPP @t355 @t604) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t419 @t418)))) % 1.32/1.54 (assume @p480 (forall @t346 (= (tptp.hAPP (tptp.hAPP @t126 @t604) @t344) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t421 @t345)))) % 1.32/1.54 (assume @p481 (forall @t325 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t615) @t615))) % 1.32/1.54 (assume @p482 (forall @t441 (= @t334 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t53 @t71) @t7)))) % 1.32/1.54 (assume @p483 (forall @t367 (=> @t131 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 @t106) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t604 @t106))))) % 1.32/1.54 (assume @p484 (forall @t616 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t9 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t95 @t308)) @t363))) % 1.32/1.54 (assume @p485 (forall (@list @t43 @t232) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.hAPP @t333 @t232)) (tptp.hAPP @t328 @t43)))) % 1.32/1.54 (assume @p486 (forall @t367 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t23 @t368) @t9))) % 1.32/1.54 (assume @p487 (forall @t365 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t308 @t95) @t9) @t364))) % 1.32/1.54 (assume @p488 (forall @t342 (=> @t139 @t605))) % 1.32/1.54 (assume @p489 (forall @t342 (=> (not @t107) @t617))) % 1.32/1.54 (assume @p490 (forall @t622 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t619 @t621) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t620 @t618)))) % 1.32/1.54 (assume @p491 (forall (@list @t156 @t110 @t24) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t110) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t156 @t24) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t24 @t156) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t110 @t156)))))) % 1.32/1.54 (assume @p492 (forall @t377 (=> @t614 (=> @t613 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t612 @t611) @t363))))) % 1.32/1.54 (assume @p493 (forall @t623 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t53 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t102)) @t7) (= @t53 @t102)))) % 1.32/1.54 (assume @p494 (forall @t441 (= (= @t625 @t7) (= @t71 @t624)))) % 1.32/1.54 (assume @p495 (forall @t628 (=> @t627 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t626) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t382 @t348))))) % 1.32/1.54 (assume @p496 (forall (@list @t619 @t370 @t618) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t621 @t619) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t618 @t620)))) % 1.32/1.54 (assume @p497 (forall (@list @t106 @t23 @t344) (=> @t384 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t106 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t368 @t344))))) % 1.32/1.54 (assume @p498 (forall @t367 (=> @t343 @t617))) % 1.32/1.54 (assume @p499 (forall @t628 (=> @t627 (= @t630 @t629)))) % 1.32/1.54 (assume @p500 (forall (@list @t619 @t618 @t370) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t370 @t618) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t619 @t621) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t620 @t618))))) % 1.32/1.54 (assume @p501 (forall @t367 (=> @t343 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t604 @t23) @t106)))) % 1.32/1.54 (assume @p502 (forall @t622 (=> @t632 (= (= @t631 @t370) (= @t618 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t370 @t619)))))) % 1.32/1.54 (assume @p503 (forall @t628 (=> @t627 (= @t629 @t630)))) % 1.32/1.54 (assume @p504 (forall @t628 (=> @t627 (= @t634 @t633)))) % 1.32/1.54 (assume @p505 (forall @t628 (=> @t627 (= @t633 @t634)))) % 1.32/1.54 (assume @p506 (forall (@list @t24 @t110) (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 @t110 @t24)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t110)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t24)))) % 1.32/1.54 (assume @p507 (forall @t114 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t512 (tptp.c_RealVector_Onorm__class_Onorm @t25 @t188))))) % 1.32/1.54 (assume @p508 (forall @t642 (= @t641 (and (=> @t640 @t639) (forall @t638 (=> @t637 @t636)))))) % 1.32/1.54 (assume @p509 (forall @t642 (= @t641 (not (or (and @t640 (not @t639)) (exists @t638 (and @t637 (not @t636)))))))) % 1.32/1.54 (assume @p510 (forall @t441 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t625 @t7) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t71 @t624)))) % 1.32/1.54 (assume @p511 (forall @t441 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t625) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t624 @t71)))) % 1.32/1.54 (assume @p512 (forall @t441 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t625) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t624 @t71)))) % 1.32/1.54 (assume @p513 (forall @t441 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t625 @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t71 @t624)))) % 1.32/1.54 (assume @p514 (forall @t648 (=> @t632 (= @t647 (= @t308 @t644))))) % 1.32/1.54 (assume @p515 (forall (@list @t23 @t106 @t232 @t348 @t108) (=> @t353 (= @t649 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t106 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t126 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t348 @t108)) @t232) @t23)))))) % 1.32/1.54 (assume @p516 (forall @t648 (=> @t632 (= @t650 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t308 @t644))))) % 1.32/1.54 (assume @p517 (forall @t653 (=> @t652 (= @t647 (= @t651 @t95))))) % 1.32/1.54 (assume @p518 (forall (@list @t23 @t106 @t232 @t108 @t348) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t348 @t108) (= @t649 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t126 @t609) @t232) @t106) @t23))))) % 1.32/1.54 (assume @p519 (forall @t653 (=> @t652 (= @t650 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t651 @t95))))) % 1.32/1.54 (assume @p520 (forall @t114 (=> @t601 (= @t145 @t175)))) % 1.32/1.54 (assume @p521 (forall @t661 (=> @t601 (= @t660 (tptp.hAPP @t658 (tptp.hAPP @t656 @t654)))))) % 1.32/1.54 (assume @p522 (forall @t661 (=> @t601 (= @t660 (tptp.hAPP @t662 @t654))))) % 1.32/1.54 (assume @p523 (forall @t667 (=> @t601 (= @t666 (tptp.hAPP @t656 (tptp.hAPP @t664 @t657)))))) % 1.32/1.54 (assume @p524 (forall @t667 (=> @t601 (= @t666 (tptp.hAPP @t662 @t663))))) % 1.32/1.54 (assume @p525 (forall @t669 (=> @t601 (= @t668 (tptp.hAPP @t656 (tptp.hAPP @t664 @t659)))))) % 1.32/1.54 (assume @p526 (forall @t669 (=> @t601 (= @t668 (tptp.hAPP @t658 (tptp.hAPP @t665 @t654)))))) % 1.32/1.54 (assume @p527 (forall @t669 (=> @t601 (= @t668 (tptp.hAPP @t662 (tptp.hAPP @t664 @t654)))))) % 1.32/1.54 (assume @p528 (forall (@list @t156 @t24 @t25) (=> @t601 (= @t298 @t553)))) % 1.32/1.54 (assume @p529 (forall @t671 (=> @t601 (= @t670 (tptp.c_Groups_Oplus__class_Oplus @t25 @t156 (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 @t153)))))) % 1.32/1.54 (assume @p530 (forall @t671 (=> @t601 (= @t670 (tptp.c_Groups_Oplus__class_Oplus @t25 @t298 @t153))))) % 1.32/1.54 (assume @p531 (forall @t174 (=> @t601 @t562))) % 1.32/1.54 (assume @p532 (forall @t174 (=> @t601 (= @t561 (tptp.c_Groups_Oplus__class_Oplus @t25 @t298 @t110))))) % 1.32/1.54 (assume @p533 (forall @t163 (=> @t601 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t188 @t565) (tptp.c_Groups_Oplus__class_Oplus @t25 @t298 @t576))))) % 1.32/1.54 (assume @p534 (= (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t8)) @t471)) % 1.32/1.54 (assume @p535 (forall @t653 (=> @t652 (= @t672 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t651 @t95))))) % 1.32/1.54 (assume @p536 (forall @t648 (=> @t632 (= @t672 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t308 @t644))))) % 1.32/1.54 (assume @p537 (forall @t342 (and (=> @t455 (= @t128 @t9)) (=> @t674 (= @t128 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t23 (tptp.hAPP (tptp.hAPP @t126 @t673) @t23))))))) % 1.32/1.54 (assume @p538 (forall (@list @t598 @t106) (and (=> @t455 (= @t677 @t13)) (=> @t674 (= @t677 (tptp.hAPP @t676 (tptp.hAPP @t675 @t673))))))) % 1.32/1.54 (assume @p539 (forall (@list @t106 @t23 @t25) (=> @t187 (and (=> @t305 (= @t680 @t32)) (=> @t306 (= @t680 (tptp.hAPP @t302 (tptp.hAPP @t679 @t678)))))))) % 1.32/1.54 (assume @p540 (forall (@list @t43 @t23 @t25) (=> @t129 (=> @t131 (= (tptp.hAPP (tptp.hAPP @t29 (tptp.hAPP @t226 @t678)) @t43) @t227))))) % 1.32/1.54 (assume @p541 (forall @t91 (=> @t601 @t250))) % 1.32/1.54 (assume @p542 (forall @t91 (=> @t601 @t246))) % 1.32/1.54 (assume @p543 (forall @t91 (=> @t601 @t571))) % 1.32/1.54 (assume @p544 (forall @t91 (=> @t601 @t567))) % 1.32/1.54 (assume @p545 (forall @t493 (=> @t681 (= (= @t101 @t558) @t121)))) % 1.32/1.54 (assume @p546 (forall @t682 (=> @t601 (= (tptp.hAPP @t44 (tptp.c_Groups_Oplus__class_Oplus @t25 @t42 @t84)) (tptp.c_Groups_Oplus__class_Oplus @t25 @t45 (tptp.hAPP @t44 @t84)))))) % 1.32/1.54 (assume @p547 (forall @t491 (=> @t681 (= (and (not @t103) (not @t500)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t296 (tptp.hAPP @t294 @t488)) (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t180 @t488) @t295))))))) % 1.32/1.54 (assume @p548 (forall @t174 (=> @t601 @t261))) % 1.32/1.54 (assume @p549 (forall (@list @t110 @t106 @t24 @t25) (=> @t601 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t683 (tptp.hAPP @t154 @t106)) (tptp.hAPP @t253 @t106))))) % 1.32/1.54 (assume @p550 (forall (@list @t335 @t53 @t71 @t684 @t25) (=> @t681 (= (= (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t685 @t71) (tptp.hAPP @t73 @t335)) (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.hAPP @t685 @t335) (tptp.hAPP @t73 @t71))) (or (= @t684 @t53) (= @t71 @t335)))))) % 1.32/1.54 (assume @p551 (forall @t91 (=> @t601 @t586))) % 1.32/1.54 (assume @p552 (forall @t91 (=> @t601 @t585))) % 1.32/1.54 (assume @p553 (forall @t686 (=> @t483 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t298 @t576) (tptp.c_Groups_Oplus__class_Oplus @t25 @t481 (tptp.c_Groups_Ominus__class_Ominus @t25 @t156 @t153)))))) % 1.32/1.54 (assume @p554 (forall (@list @t597 @t42 @t43 @t25) (=> @t601 (= (tptp.hAPP (tptp.hAPP @t26 @t45) @t597) (tptp.hAPP (tptp.hAPP @t29 @t599) (tptp.hAPP @t687 @t597)))))) % 1.32/1.54 (assume @p555 (forall @t602 (=> @t601 (= (tptp.hAPP (tptp.hAPP @t26 @t600) @t597) (tptp.hAPP @t226 (tptp.hAPP @t676 @t597)))))) % 1.32/1.54 (assume @p556 (forall @t186 (=> @t601 (= (tptp.hAPP @t226 @t13) @t43)))) % 1.32/1.54 (assume @p557 (forall (@list @t153 @t156 @t110 @t24 @t41 @t25) (=> @t681 (=> (not (= @t41 @t34)) (=> (and @t111 (not (= @t156 @t153))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 (tptp.hAPP @t688 @t156)) (tptp.c_Groups_Oplus__class_Oplus @t25 @t110 (tptp.hAPP @t688 @t153))))))))) % 1.32/1.54 (assume @p558 (forall (@list @t106 @t25) (=> @t601 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t106 @t106) (tptp.hAPP (tptp.hAPP @t29 @t64) @t106))))) % 1.32/1.54 (assume @p559 (forall (@list @t24 @t106 @t25) (=> @t601 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t106 @t683) @t689)))) % 1.32/1.54 (assume @p560 (forall (@list @t106 @t24 @t25) (=> @t601 (= (tptp.c_Groups_Oplus__class_Oplus @t25 @t683 @t106) @t689)))) % 1.32/1.54 (assume @p561 (forall @t186 (=> @t690 (= @t519 (tptp.hAPP (tptp.hAPP @t29 @t539) @t43))))) % 1.32/1.54 (assume @p562 (forall @t70 (=> @t690 (= @t513 (tptp.c_Groups_Oplus__class_Oplus @t25 @t43 @t691))))) % 1.32/1.54 (assume @p563 (forall @t186 (=> @t601 (= (tptp.hAPP @t226 @t9) @t32)))) % 1.32/1.54 (assume @p564 (forall (@list @t413 @t43) (=> @t692 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t43 @t413) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t413 @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 @t413)) @t43) @t8)))))) % 1.32/1.54 (assume @p565 (= @t702 @t700)) % 1.32/1.54 (assume @p566 (= @t701 @t699)) % 1.32/1.54 (assume @p567 (= @t703 @t699)) % 1.32/1.54 (assume @p568 (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)))) % 1.32/1.54 (assume @p569 (forall @t595 (=> @t705 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t704 tptp.v_m____)))) % 1.32/1.54 (assume @p570 (= @t701 @t703)) % 1.32/1.54 (assume @p571 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t700 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t698) @t706))) % 1.32/1.54 (assume @p572 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t702 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t697) @t706))) % 1.32/1.54 (assume @p573 (forall @t354 (= @t610 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t344) @t348)))) % 1.32/1.54 (assume @p574 (forall @t122 (=> @t708 (= (= @t707 @t34) @t121)))) % 1.32/1.54 (assume @p575 (forall @t65 (=> @t708 (= (tptp.c_Groups_Oabs__class_Oabs @t25 @t34) @t34)))) % 1.32/1.54 (assume @p576 (forall @t91 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t24 @t709)))) % 1.32/1.54 (assume @p577 (forall @t114 (=> @t708 (=> @t710 @t161)))) % 1.32/1.54 (assume @p578 (forall @t114 (=> @t222 @t714))) % 1.32/1.54 (assume @p579 (forall @t91 (=> @t222 (= (tptp.hAPP @t712 @t709) @t182)))) % 1.32/1.54 (assume @p580 (forall @t114 (=> @t708 (= (tptp.c_Groups_Oabs__class_Oabs @t25 @t715) @t715)))) % 1.32/1.54 (assume @p581 (forall @t65 (=> @t222 (= (tptp.c_Groups_Oabs__class_Oabs @t25 @t32) @t32)))) % 1.32/1.54 (assume @p582 (forall @t114 (=> @t708 (= @t717 @t716)))) % 1.32/1.54 (assume @p583 (forall @t91 (=> @t708 (= (tptp.c_Groups_Oabs__class_Oabs @t25 @t478) @t709)))) % 1.32/1.54 (assume @p584 (forall @t37 (=> @t222 (= @t719 @t718)))) % 1.32/1.54 (assume @p585 (forall @t91 (=> @t319 @t720))) % 1.32/1.54 (assume @p586 (forall @t91 (=> @t57 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t92) @t92)))) % 1.32/1.54 (assume @p587 (forall @t722 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t41) @t721))) % 1.32/1.54 (assume @p588 (forall @t91 (=> @t708 (= (tptp.c_Groups_Oabs__class_Oabs @t25 @t709) @t709)))) % 1.32/1.54 (assume @p589 (forall @t91 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t709)))) % 1.32/1.54 (assume @p590 (forall @t122 (=> @t708 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t707 @t34) @t121)))) % 1.32/1.54 (assume @p591 (forall @t91 (=> @t708 (=> @t133 @t723)))) % 1.32/1.54 (assume @p592 (forall @t91 (=> @t708 (=> @t35 @t723)))) % 1.32/1.54 (assume @p593 (forall @t122 (=> @t708 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t707) @t724)))) % 1.32/1.54 (assume @p594 (forall @t91 (=> @t708 (not (tptp.c_Orderings_Oord__class_Oless @t25 @t709 @t34))))) % 1.32/1.54 (assume @p595 (forall @t686 (=> @t222 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t709 @t156) (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t711 @t153) (tptp.c_Orderings_Oord__class_Oless @t25 @t713 (tptp.hAPP @t164 @t153))))))) % 1.32/1.54 (assume @p596 (forall @t114 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq @t25 (tptp.c_Groups_Oabs__class_Oabs @t25 @t188) @t715)))) % 1.32/1.54 (assume @p597 (forall @t114 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq @t25 (tptp.c_Groups_Oabs__class_Oabs @t25 @t725) @t717)))) % 1.32/1.54 (assume @p598 (forall @t114 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t725 @t717)))) % 1.32/1.54 (assume @p599 (forall @t114 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t725 @t716)))) % 1.32/1.54 (assume @p600 (forall @t91 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t478 @t709)))) % 1.32/1.54 (assume @p601 (forall @t105 (=> @t708 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t707 @t101) (and @t215 @t494))))) % 1.32/1.54 (assume @p602 (forall @t114 (=> @t708 (=> @t161 (=> @t726 @t710))))) % 1.32/1.54 (assume @p603 (forall @t114 (=> @t708 (=> @t710 @t726)))) % 1.32/1.54 (assume @p604 (forall @t105 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t707 @t101) (and @t292 @t495))))) % 1.32/1.54 (assume @p605 (forall @t91 (=> @t316 (=> @t118 @t720)))) % 1.32/1.54 (assume @p606 (forall @t37 (=> @t222 (= (tptp.c_Groups_Oabs__class_Oabs @t25 @t550) @t719)))) % 1.32/1.54 (assume @p607 (forall (@list @t727 @t53) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t53) @t727) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t727) @t53) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t727))))) % 1.32/1.54 (assume @p608 (forall @t729 (=> @t229 (= (tptp.c_RealVector_Onorm__class_Onorm @t25 @t728) @t721)))) % 1.32/1.54 (assume @p609 (forall @t415 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t603) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t42 @t508))))) % 1.32/1.54 (assume @p610 (forall @t114 (=> (tptp.class_Rings_Oordered__ring__abs @t25) (=> (and (or @t133 @t148) (or @t132 @t149)) @t714)))) % 1.32/1.54 (assume @p611 (forall @t70 (=> @t222 (=> @t221 (= (tptp.hAPP (tptp.hAPP @t29 (tptp.c_Groups_Oabs__class_Oabs @t25 @t42)) @t43) (tptp.c_Groups_Oabs__class_Oabs @t25 @t218)))))) % 1.32/1.54 (assume @p612 (forall @t91 (=> @t708 (=> @t148 @t730)))) % 1.32/1.54 (assume @p613 (forall @t91 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq @t25 (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t709) @t34)))) % 1.32/1.54 (assume @p614 (forall @t37 (=> @t222 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t34 @t718)))) % 1.32/1.54 (assume @p615 (forall @t91 (=> (tptp.class_Groups_Oabs__if @t25) (and @t731 (=> (not @t286) @t723))))) % 1.32/1.54 (assume @p616 (forall @t91 (=> @t708 @t731))) % 1.32/1.54 (assume @p617 (forall @t163 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq @t25 (tptp.c_Groups_Oabs__class_Oabs @t25 @t566) (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.c_Groups_Oabs__class_Oabs @t25 @t564) (tptp.c_Groups_Oabs__class_Oabs @t25 @t563)))))) % 1.32/1.54 (assume @p618 (forall @t114 (=> @t708 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t717 @t715)))) % 1.32/1.54 (assume @p619 (forall (@list @t42 @t43 @t156) (=> @t314 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t732 (tptp.hAPP @t313 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t42))) @t323)))) % 1.32/1.54 (assume @p620 (forall (@list @t24) (and (=> @t734 (= @t733 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t24))) (=> (not @t734) (= @t733 @t24))))) % 1.32/1.54 (assume @p621 (forall @t722 (and (=> @t735 (= @t721 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t41))) (=> (not @t735) (= @t721 @t41))))) % 1.32/1.54 (assume @p622 (forall @t325 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t732 @t8) @t43)))) % 1.32/1.54 (assume @p623 (forall (@list @t106 @t358 @t42 @t43) (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 @t540 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t737 @t736))) (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 @t43 @t737)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t42 @t736)))))) % 1.32/1.54 (assume @p624 (forall @t114 (=> @t57 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t512) @t510)))) % 1.32/1.54 (assume @p625 (forall @t325 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t8 @t732)))) % 1.32/1.54 (assume @p626 (exists @t741 (and @t740 @t739))) % 1.32/1.54 (assume @p627 (forall (@list @t727 @t102 @t53 @t25) (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless @t25 (tptp.c_Groups_Oabs__class_Oabs @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t53 @t102)) @t727) (and (tptp.c_Orderings_Oord__class_Oless @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t102 @t727) @t53) (tptp.c_Orderings_Oord__class_Oless @t25 @t53 (tptp.c_Groups_Oplus__class_Oplus @t25 @t102 @t727))))))) % 1.32/1.54 (assume @p628 (forall @t122 (=> @t222 @t592))) % 1.32/1.54 (assume @p629 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t742))) % 1.32/1.54 (assume @p630 (forall @t100 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t743 (tptp.hAPP (tptp.hAPP @t744 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t53)) @t95)) (or (not (= @t53 @t743)) @t96)))) % 1.32/1.54 (assume @p631 (forall (@list @t2 @t747 @t25) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t25 @t747 @t2) (forall @t746 (= @t5 (tptp.hAPP @t2 @t745)))))) % 1.32/1.54 (assume @p632 (forall @t408 (= (tptp.hAPP @t748 @t416) (tptp.hAPP (tptp.hAPP @t750 @t749) (tptp.hAPP @t748 @t84))))) % 1.32/1.54 (assume @p633 (forall @t408 (= (tptp.hAPP (tptp.hAPP @t744 @t749) @t84) (tptp.hAPP @t748 (tptp.hAPP (tptp.hAPP @t126 @t42) @t84))))) % 1.32/1.54 (assume @p634 (forall @t122 (=> @t487 (= (= @t570 @t34) @t121)))) % 1.32/1.54 (assume @p635 (forall @t65 (=> @t507 (exists @t754 (and @t753 @t752))))) % 1.32/1.54 (assume @p636 (forall @t456 (=> (= @t85 @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 @t84 @t82)) @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 @t84 @t82)) @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 @t84 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 @t84 tptp.c_Complex_Oii)) @t8))))) % 1.32/1.54 (assume @p637 (not (forall @t741 (=> @t740 (not @t739))))) % 1.32/1.54 (assume @p638 (not @t756)) % 1.32/1.54 (assume @p639 (forall @t470 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t755) @t757))) % 1.32/1.54 (assume @p640 (not @t759)) % 1.32/1.54 (assume @p641 (forall (@list @t108) (and (=> @t761 (= @t760 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t108))) (=> (not @t761) (= @t760 @t108))))) % 1.32/1.54 (assume @p642 (forall @t373 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t370 @t371) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t370 @t371) @t743)))) % 1.32/1.54 (assume @p643 (forall @t764 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t684 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t335 @t763)) @t762))) % 1.32/1.54 (assume @p644 (forall @t769 (= (tptp.hAPP @t765 @t768) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t767 @t766)))) % 1.32/1.54 (assume @p645 (forall @t429 (= (tptp.hAPP (tptp.hAPP @t750 @t768) @t86) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t773 @t771)))) % 1.32/1.54 (assume @p646 (forall @t545 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 (tptp.hAPP (tptp.hAPP @t744 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t43)) @t23)))) % 1.32/1.54 (assume @p647 (forall @t774 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t335) @t763) (= @t335 @t743)))) % 1.32/1.54 (assume @p648 (forall @t342 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t750 @t106) @t23)) @t763) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t106) @t763)))) % 1.32/1.54 (assume @p649 (forall @t415 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t43 @t42) @t241 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t42 @t43)))) % 1.32/1.54 (assume @p650 (forall (@list @t84 @t776 @t86 @t777) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t777 @t86) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t776 @t84) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t777 @t776) @t775))))) % 1.32/1.54 (assume @p651 (forall @t354 (=> @t779 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t743 @t344) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t778 @t108) (tptp.hAPP @t778 @t348)))))) % 1.32/1.54 (assume @p652 (forall @t354 (=> @t779 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t108 @t344) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t348 @t344))))) % 1.32/1.54 (assume @p653 (forall @t87 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t86 @t84) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t86 @t763) @t84)))) % 1.32/1.54 (assume @p654 (forall @t365 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t743 @t308) (= (= (tptp.hAPP (tptp.hAPP @t750 @t308) @t95) @t763) (and (= @t308 @t763) (= @t95 @t763)))))) % 1.32/1.54 (assume @p655 (forall @t456 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 @t84) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t743 @t780)))) % 1.32/1.54 (assume @p656 (forall @t774 (= (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 @t763 @t335) @t335) @t743) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t335 @t743)))) % 1.32/1.54 (assume @p657 (forall @t429 (= (tptp.hAPP (tptp.hAPP @t750 @t781) @t86) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t773 @t771)))) % 1.32/1.54 (assume @p658 (forall @t428 (= (tptp.hAPP (tptp.hAPP @t750 (tptp.hAPP @t772 @t424)) @t423) (tptp.hAPP @t772 (tptp.hAPP @t770 @t423))))) % 1.32/1.54 (assume @p659 (forall @t764 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t684 @t763) @t335) @t762))) % 1.32/1.54 (assume @p660 (forall @t769 (= (tptp.hAPP @t765 @t781) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t767 @t766)))) % 1.32/1.54 (assume @p661 (forall @t764 (= @t782 (or @t762 (= @t684 @t335))))) % 1.32/1.54 (assume @p662 (forall @t764 (= @t782 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t684 @t335)))) % 1.32/1.54 (assume @p663 (forall (@list @t684 @t335) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t335 @t684) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t335 @t684) (not (= @t335 @t684)))))) % 1.32/1.54 (assume @p664 (forall @t406 (= @t784 (tptp.hAPP @t765 @t84)))) % 1.32/1.54 (assume @p665 (forall @t456 (= (tptp.hAPP @t783 @t763) @t84))) % 1.32/1.54 (assume @p666 (forall @t456 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t84 @t743) @t84))) % 1.32/1.54 (assume @p667 (forall @t774 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t763 @t335) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t743 @t335)))) % 1.32/1.54 (assume @p668 (forall @t456 (= (tptp.hAPP (tptp.hAPP @t750 @t763) @t84) @t84))) % 1.32/1.54 (assume @p669 (forall @t456 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t743 @t84) @t84))) % 1.32/1.54 (assume @p670 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t743 @t763)) % 1.32/1.54 (assume @p671 (forall @t456 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t780 @t84) @t743)))) % 1.32/1.54 (assume @p672 (not (= @t743 @t763))) % 1.32/1.54 (assume @p673 (forall @t406 (= (tptp.hAPP (tptp.hAPP @t750 @t785) @t86) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t784)))) % 1.32/1.54 (assume @p674 (forall @t456 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t785 @t84) @t743))) % 1.32/1.54 (assume @p675 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t743) @t743)) % 1.32/1.54 (assume @p676 (not (= tptp.c_Complex_Oii @t82))) % 1.32/1.54 (assume @p677 (not (= tptp.c_Complex_Oii @t78))) % 1.32/1.54 (assume @p678 (= (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))) % 1.32/1.54 (assume @p679 (forall @t325 (= (tptp.hAPP @t786 (tptp.hAPP @t786 @t43)) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t43)))) % 1.32/1.54 (assume @p680 (= (tptp.hAPP @t786 tptp.c_Complex_Oii) @t471)) % 1.32/1.54 (assume @p681 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t758)) % 1.32/1.54 (assume @p682 (forall (@list @t43 @t84 @t153) (=> @t788 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t84 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t43 @t787))))) % 1.32/1.54 (assume @p683 (forall (@list @t84 @t43 @t153) (=> @t788 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t43 @t787) @t84)))) % 1.32/1.54 (assume @p684 (forall @t406 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t790) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t785 @t789)))) % 1.32/1.54 (assume @p685 (forall @t456 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t785) @t84))) % 1.32/1.54 (assume @p686 (forall @t409 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t86 @t86))) % 1.32/1.54 (assume @p687 (forall @t406 (= @t790 @t775))) % 1.32/1.54 (assume @p688 (forall @t406 (or @t792 @t791))) % 1.32/1.54 (assume @p689 (forall @t408 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t43 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t42 @t84)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t42 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t43 @t84))))) % 1.32/1.54 (assume @p690 (forall @t428 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t781 @t423) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t426 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t424 @t423))))) % 1.32/1.54 (assume @p691 (forall @t354 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t344 @t108) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t344 @t348))))) % 1.32/1.54 (assume @p692 (forall @t354 (=> @t793 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t348 @t344) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t108 @t344))))) % 1.32/1.54 (assume @p693 (forall @t406 (=> @t792 (=> @t791 @t403)))) % 1.32/1.54 (assume @p694 (forall @t406 (= @t795 @t794))) % 1.32/1.54 (assume @p695 (forall @t406 (= @t794 @t795))) % 1.32/1.54 (assume @p696 (forall @t800 (=> @t551 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t25 @t798) @t9) @t799)))) % 1.32/1.54 (assume @p697 (forall @t6 (= (tptp.hAPP @t802 @t3) @t801))) % 1.32/1.54 (assume @p698 (forall (@list @t798) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t798) @t758) (=> (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t803)) (exists @t595 (= (tptp.hAPP @t803 @t593) @t78)))))) % 1.32/1.54 (assume @p699 (exists @t808 (and @t807 @t805))) % 1.32/1.54 (assume @p700 (= @t809 @t758)) % 1.32/1.54 (assume @p701 (not (= @t810 @t78))) % 1.32/1.54 (assume @p702 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t802))) % 1.32/1.54 (assume @p703 (forall @t470 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t811 @t757))) % 1.32/1.54 (assume @p704 (= @t755 @t810)) % 1.32/1.54 (assume @p705 (= (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____) @t13) @t813)) % 1.32/1.54 (assume @p706 (=> @t756 (exists @t595 (= (tptp.hAPP @t742 @t593) @t78)))) % 1.32/1.54 (assume @p707 (forall @t817 (=> @t816 (=> @t815 (=> @t814 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t597 @t763)))))) % 1.32/1.54 (assume @p708 (forall @t817 (=> @t816 (=> @t815 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t41 @t24) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t763 @t597)))))) % 1.32/1.54 (assume @p709 (= @t810 (tptp.hAPP (tptp.hAPP @t80 @t819) @t810))) % 1.32/1.54 (assume @p710 (forall @t595 (= (tptp.hAPP @t802 @t593) (tptp.hAPP (tptp.hAPP @t80 @t820) @t810)))) % 1.32/1.54 (assume @p711 (= @t819 @t82)) % 1.32/1.54 (assume @p712 (= @t809 @t813)) % 1.32/1.54 (assume @p713 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t818))) % 1.32/1.54 (assume @p714 (forall (@list @t684) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t818 @t684)) @t8) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t802 @t684)) @t811)))) % 1.32/1.54 (assume @p715 (forall @t595 (= @t820 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t819 (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP @t594 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____)) @t593)))))) % 1.32/1.54 (assume @p716 (forall @t833 (=> @t832 (=> @t829 (=> @t827 (=> @t826 (=> @t824 (=> @t823 @t822)))))))) % 1.32/1.54 (assume @p717 (forall @t836 (=> @t835 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t41 @t743) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t110 @t41) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t110 @t825) @t834)))))) % 1.32/1.54 (assume @p718 (forall @t833 (=> @t832 (=> @t838 (=> @t837 (=> @t814 (=> @t824 (=> @t823 @t834)))))))) % 1.32/1.54 (assume @p719 (forall @t836 (=> @t835 (=> @t826 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t825 @t110) (=> @t827 @t822)))))) % 1.32/1.54 (assume @p720 (forall @t839 (=> @t829 (=> @t826 (=> @t824 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t821 @t743)))))) % 1.32/1.54 (assume @p721 (forall @t839 (=> @t838 (=> @t837 (=> @t824 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 @t821)))))) % 1.32/1.54 (assume @p722 (=> @t759 (exists @t470 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t818 @t469)) @t8)))) % 1.32/1.54 (assume @p723 (not (forall @t746 (= (tptp.hAPP @t818 @t3) (tptp.hAPP @t818 @t745))))) % 1.32/1.54 (assume @p724 (forall @t545 (=> @t840 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 (tptp.hAPP @t748 @t23))))) % 1.32/1.54 (assume @p725 (forall @t845 (=> @t844 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t796 @t843 @t842) @t797) @t841)))) % 1.32/1.54 (assume @p726 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 @t743)) % 1.32/1.54 (assume @p727 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 @t763)) % 1.32/1.54 (assume @p728 (forall @t415 (=> @t840 (=> @t846 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t43 @t42)))))) % 1.32/1.54 (assume @p729 (forall @t415 (=> @t840 (=> @t846 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 (tptp.hAPP (tptp.hAPP @t750 @t43) @t42)))))) % 1.32/1.54 (assume @p730 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t848))) % 1.32/1.54 (assume @p731 (= @t14 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t847))) % 1.32/1.54 (assume @p732 (forall (@list @t43 @t598 @t23 @t25) (=> @t690 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 (tptp.hAPP (tptp.hAPP @t851 (tptp.c_Polynomial_Omonom @t25 @t32 @t23)) @t598)) @t43) (tptp.hAPP (tptp.hAPP @t29 @t227) @t850))))) % 1.32/1.54 (assume @p733 (exists @t595 (= (tptp.hAPP @t848 @t593) @t78))) % 1.32/1.54 (assume @p734 (forall @t91 (=> @t551 (= (tptp.c_Polynomial_Omonom @t25 @t24 @t9) @t852)))) % 1.32/1.54 (assume @p735 (forall @t186 (=> @t222 (and (=> @t854 (= @t853 (tptp.c_Groups_Ouminus__class_Ouminus @t796 @t43))) (=> (not @t854) (= @t853 @t43)))))) % 1.32/1.54 (assume @p736 (forall @t65 (=> @t483 (= (tptp.c_Groups_Ouminus__class_Ouminus @t796 @t797) @t797)))) % 1.32/1.54 (assume @p737 (forall @t855 (=> @t483 (= (tptp.c_Groups_Ominus__class_Ominus @t796 @t598 @t797) @t598)))) % 1.32/1.54 (assume @p738 (forall @t856 (=> @t483 (= (tptp.c_Groups_Ominus__class_Ominus @t796 @t797 @t597) (tptp.c_Groups_Ouminus__class_Ouminus @t796 @t597))))) % 1.32/1.54 (assume @p739 (forall @t855 (=> @t844 (= (tptp.hAPP @t857 @t797) @t797)))) % 1.32/1.54 (assume @p740 (forall @t856 (=> @t844 (= (tptp.hAPP (tptp.hAPP @t851 @t797) @t597) @t797)))) % 1.32/1.54 (assume @p741 (forall (@list @t858 @t798 @t25) (=> @t861 (= (= @t860 (tptp.c_Polynomial_Opoly @t25 @t858)) @t859)))) % 1.32/1.55 (assume @p742 (forall (@list @t858 @t101 @t798 @t102 @t25) (=> @t551 (= (= @t862 (tptp.c_Polynomial_OpCons @t25 @t101 @t858)) (and @t103 @t859))))) % 1.32/1.55 (assume @p743 (forall @t867 (=> @t866 (= (tptp.c_Polynomial_Osmult @t25 @t24 @t865) (tptp.c_Groups_Ominus__class_Ominus @t796 @t864 @t863))))) % 1.32/1.55 (assume @p744 (forall @t870 (=> @t866 (= (tptp.c_Polynomial_Osmult @t25 @t24 @t869) @t868)))) % 1.32/1.55 (assume @p745 (forall @t867 (=> @t844 (= (tptp.hAPP (tptp.hAPP @t851 @t864) @t597) @t872)))) % 1.32/1.55 (assume @p746 (forall @t873 (=> @t844 (= (tptp.hAPP @t857 @t863) @t872)))) % 1.32/1.55 (assume @p747 (forall (@list @t41 @t597 @t598 @t25) (=> @t844 (= (tptp.hAPP (tptp.hAPP @t851 @t875) @t41) (tptp.c_Groups_Oplus__class_Oplus @t796 (tptp.hAPP @t857 @t41) (tptp.hAPP @t874 @t41)))))) % 1.32/1.55 (assume @p748 (forall (@list @t101 @t95 @t102 @t25) (=> @t551 (= (= @t876 (tptp.c_Polynomial_Omonom @t25 @t101 @t95)) @t103)))) % 1.32/1.55 (assume @p749 (forall @t878 (=> @t844 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t871) @t43) (tptp.hAPP (tptp.hAPP @t29 @t850) @t877))))) % 1.32/1.55 (assume @p750 (forall @t186 (=> @t601 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t879) @t43) @t32)))) % 1.32/1.55 (assume @p751 (forall @t878 (=> @t866 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t865) @t43) (tptp.c_Groups_Ominus__class_Ominus @t25 @t850 @t877))))) % 1.32/1.55 (assume @p752 (forall (@list @t43 @t598 @t25) (=> @t866 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t869) @t43) (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t850))))) % 1.32/1.55 (assume @p753 (forall (@list @t43 @t23 @t598 @t25) (=> @t601 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 (tptp.hAPP (tptp.hAPP @t880 @t598) @t23)) @t43) (tptp.hAPP (tptp.hAPP @t26 @t850) @t23))))) % 1.32/1.55 (assume @p754 (forall @t882 (=> @t483 (= (tptp.c_Groups_Ominus__class_Ominus @t796 @t842 @t881) (tptp.c_Polynomial_OpCons @t25 @t481 @t865))))) % 1.32/1.55 (assume @p755 (forall @t884 (=> @t844 (= (tptp.c_Polynomial_Osmult @t25 @t24 @t883) (tptp.c_Polynomial_Osmult @t25 @t145 @t598))))) % 1.32/1.55 (assume @p756 (forall @t855 (=> @t601 (= (tptp.c_Polynomial_Osmult @t25 @t32 @t598) @t598)))) % 1.32/1.55 (assume @p757 (forall (@list @t598 @t24 @t747) (=> (tptp.class_Groups_Oab__group__add @t747) (= (tptp.c_Groups_Ouminus__class_Ouminus @t885 (tptp.c_Polynomial_OpCons @t747 @t24 @t598)) (tptp.c_Polynomial_OpCons @t747 (tptp.c_Groups_Ouminus__class_Ouminus @t747 @t24) (tptp.c_Groups_Ouminus__class_Ouminus @t885 @t598)))))) % 1.32/1.55 (assume @p758 (forall @t870 (=> @t483 (= (tptp.c_Groups_Ouminus__class_Ouminus @t796 @t842) (tptp.c_Polynomial_OpCons @t25 @t478 @t869))))) % 1.32/1.55 (assume @p759 (forall @t884 (=> @t866 (= (tptp.c_Polynomial_Osmult @t25 @t481 @t598) (tptp.c_Groups_Ominus__class_Ominus @t796 @t864 @t883))))) % 1.32/1.55 (assume @p760 (forall @t870 (=> @t866 (= (tptp.c_Polynomial_Osmult @t25 @t478 @t598) @t868)))) % 1.32/1.55 (assume @p761 (forall @t800 (=> @t861 (= (= @t860 @t886) @t799)))) % 1.32/1.55 (assume @p762 (forall @t91 (=> @t844 (= (tptp.c_Polynomial_Osmult @t25 @t24 @t797) @t797)))) % 1.32/1.55 (assume @p763 (forall @t135 (=> @t483 (= (tptp.c_Groups_Ominus__class_Ominus @t796 @t888 @t887) (tptp.c_Polynomial_Omonom @t25 @t481 @t23))))) % 1.32/1.55 (assume @p764 (forall @t37 (=> @t483 (= (tptp.c_Groups_Ouminus__class_Ouminus @t796 @t888) (tptp.c_Polynomial_Omonom @t25 @t478 @t23))))) % 1.32/1.55 (assume @p765 (forall @t856 (=> @t568 (= (tptp.c_Groups_Oplus__class_Oplus @t796 @t797 @t597) @t597)))) % 1.32/1.55 (assume @p766 (forall @t855 (=> @t568 (= (tptp.c_Groups_Oplus__class_Oplus @t796 @t598 @t797) @t598)))) % 1.32/1.55 (assume @p767 (forall @t867 (=> @t844 (= (tptp.c_Polynomial_Osmult @t25 @t24 @t875) (tptp.c_Groups_Oplus__class_Oplus @t796 @t864 @t863))))) % 1.32/1.55 (assume @p768 (forall @t186 (=> @t844 (= (tptp.hAPP @t886 @t43) @t34)))) % 1.32/1.55 (assume @p769 (forall @t65 (=> @t551 (= (tptp.c_Polynomial_OpCons @t25 @t34 @t797) @t797)))) % 1.32/1.55 (assume @p770 (forall @t889 (=> @t551 (= (= @t862 @t797) (and @t121 @t799))))) % 1.32/1.55 (assume @p771 (forall @t855 (=> @t844 (= (tptp.c_Polynomial_Osmult @t25 @t34 @t598) @t797)))) % 1.32/1.55 (assume @p772 (forall @t889 (=> @t514 (= (= @t890 @t797) (or @t121 @t799))))) % 1.32/1.55 (assume @p773 (forall @t65 (=> @t601 (= @t879 @t891)))) % 1.32/1.55 (assume @p774 (forall @t892 (=> @t844 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t864) @t43) (tptp.hAPP @t30 @t850))))) % 1.32/1.55 (assume @p775 (forall @t884 (=> @t844 (= (tptp.c_Polynomial_Osmult @t25 @t24 (tptp.c_Polynomial_OpCons @t25 @t110 @t598)) (tptp.c_Polynomial_OpCons @t25 @t145 @t864))))) % 1.32/1.55 (assume @p776 (forall (@list @t23 @t110 @t106 @t24 @t25) (=> @t844 (= (tptp.hAPP (tptp.hAPP @t851 (tptp.c_Polynomial_Omonom @t25 @t24 @t106)) @t887) (tptp.c_Polynomial_Omonom @t25 @t145 @t310))))) % 1.32/1.55 (assume @p777 (forall @t277 (=> @t551 (= (tptp.c_Polynomial_Omonom @t25 @t34 @t23) @t797)))) % 1.32/1.55 (assume @p778 (forall @t274 (=> @t551 (= (= @t876 @t797) @t121)))) % 1.32/1.55 (assume @p779 (forall @t878 (=> @t844 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t875) @t43) (tptp.c_Groups_Oplus__class_Oplus @t25 @t850 @t877))))) % 1.32/1.55 (assume @p780 (forall @t882 (=> @t568 (= (tptp.c_Groups_Oplus__class_Oplus @t796 @t842 @t881) (tptp.c_Polynomial_OpCons @t25 @t188 @t875))))) % 1.32/1.55 (assume @p781 (forall @t845 (=> @t844 (=> (= @t843 @t842) @t841)))) % 1.32/1.55 (assume @p782 (forall @t884 (=> @t844 (= (tptp.c_Polynomial_Osmult @t25 @t188 @t598) (tptp.c_Groups_Oplus__class_Oplus @t796 @t864 @t883))))) % 1.32/1.55 (assume @p783 (forall @t183 (=> @t844 (= (tptp.c_Polynomial_Osmult @t25 @t24 @t887) (tptp.c_Polynomial_Omonom @t25 @t145 @t23))))) % 1.32/1.55 (assume @p784 (forall @t135 (=> @t568 (= (tptp.c_Groups_Oplus__class_Oplus @t796 @t888 @t887) (tptp.c_Polynomial_Omonom @t25 @t188 @t23))))) % 1.32/1.55 (assume @p785 (forall @t892 (=> @t844 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t842) @t43) (tptp.c_Groups_Oplus__class_Oplus @t25 @t24 (tptp.hAPP @t44 @t850)))))) % 1.32/1.55 (assume @p786 (forall (@list @t43 @t23 @t24 @t25) (=> @t601 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t888) @t43) (tptp.hAPP @t30 @t227))))) % 1.32/1.55 (assume @p787 (forall @t873 (=> @t844 (= (tptp.hAPP @t857 (tptp.c_Polynomial_OpCons @t25 @t24 @t597)) (tptp.c_Groups_Oplus__class_Oplus @t796 @t864 @t893))))) % 1.32/1.55 (assume @p788 (forall @t867 (=> @t844 (= (tptp.hAPP (tptp.hAPP @t851 @t842) @t597) (tptp.c_Groups_Oplus__class_Oplus @t796 @t863 @t893))))) % 1.32/1.55 (assume @p789 (forall (@list @t598 @t156 @t25) (=> @t690 (= (tptp.c_Groups_Oplus__class_Oplus @t796 (tptp.hAPP (tptp.hAPP @t851 (tptp.c_Polynomial_OpCons @t25 (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t156) @t891)) @t895) (tptp.c_Polynomial_OpCons @t25 @t894 @t797)) @t598)))) % 1.32/1.55 (assume @p790 (forall @t867 (=> @t844 (= (tptp.c_Polynomial_Opcompose @t25 @t842 @t597) (tptp.c_Groups_Oplus__class_Oplus @t796 @t852 (tptp.hAPP @t874 @t896)))))) % 1.32/1.55 (assume @p791 (forall (@list @t156 @t25) (=> @t844 (= (tptp.c_Polynomial_Osynthetic__div @t25 @t797 @t156) @t797)))) % 1.32/1.55 (assume @p792 (forall @t856 (=> @t844 (= (tptp.c_Polynomial_Opcompose @t25 @t797 @t597) @t797)))) % 1.32/1.55 (assume @p793 (forall @t878 (=> @t844 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t25 @t896) @t43) (tptp.hAPP @t849 @t877))))) % 1.32/1.55 (assume @p794 (forall (@list @t156 @t598 @t24 @t25) (=> @t844 (= (tptp.c_Polynomial_Osynthetic__div @t25 @t842 @t156) @t897)))) % 1.32/1.55 (assume @p795 (forall (@list @t156 @t598 @t25) (=> @t844 (= (tptp.c_Groups_Oplus__class_Oplus @t796 @t598 (tptp.c_Polynomial_Osmult @t25 @t156 @t895)) @t897)))) % 1.32/1.55 (assume @p796 (forall (@list @t41 @t597 @t156 @t598 @t25) (=> @t844 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t796 @t598 (tptp.c_Polynomial_Osmult @t25 @t156 @t597)) (tptp.c_Polynomial_OpCons @t25 @t41 @t597)) (and (= @t41 @t894) (= @t597 @t895)))))) % 1.32/1.55 (assume @p797 (forall (@list @t102 @t798 @t25) (=> @t514 (= (= (tptp.hAPP @t860 @t102) @t34) (or @t799 (not (= (tptp.c_Polynomial_Oorder @t25 @t102 @t798) @t9))))))) % 1.32/1.55 (assume @p798 (forall @t186 (=> @t898 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t43 @t43)))) % 1.32/1.55 (assume @p799 (forall @t902 (=> @t901 (= @t900 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t747 @t5 @t4)))))) % 1.32/1.55 (assume @p800 (forall @t70 (=> @t905 (or @t904 @t903)))) % 1.32/1.55 (assume @p801 (forall @t77 (=> @t908 (= @t438 (and @t907 @t906))))) % 1.32/1.55 (assume @p802 (forall @t70 (=> @t898 (=> @t241 @t904)))) % 1.32/1.55 (assume @p803 (forall (@list @t53 @t1 @t2 @t25 @t747) (=> @t901 (=> @t900 (tptp.c_Orderings_Oord__class_Oless__eq @t747 (tptp.hAPP @t2 @t53) (tptp.hAPP @t1 @t53)))))) % 1.32/1.55 (assume @p804 (forall @t910 (=> @t908 (=> @t906 @t909)))) % 1.32/1.55 (assume @p805 (forall @t174 (=> @t912 (=> @t111 (=> @t477 @t911))))) % 1.32/1.55 (assume @p806 (forall @t174 (=> @t908 (=> @t111 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t156 @t110) @t913))))) % 1.32/1.55 (assume @p807 (forall @t174 (=> @t912 (=> @t161 (=> @t552 @t911))))) % 1.32/1.55 (assume @p808 (forall @t170 (=> @t908 (=> @t169 (=> @t552 @t913))))) % 1.32/1.55 (assume @p809 (forall @t70 (=> @t908 (=> @t904 (=> @t903 @t241))))) % 1.32/1.55 (assume @p810 (forall @t682 (=> @t898 (=> @t904 (=> @t914 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t43 @t84)))))) % 1.32/1.55 (assume @p811 (forall @t915 (=> @t908 (=> @t903 (=> @t904 @t241))))) % 1.32/1.55 (assume @p812 (forall @t917 (=> @t908 (=> @t903 (=> @t916 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t84 @t43)))))) % 1.32/1.55 (assume @p813 (forall @t70 (=> @t905 (=> (not @t904) @t903)))) % 1.32/1.55 (assume @p814 (forall @t70 (=> @t905 (=> @t240 (=> @t242 @t238))))) % 1.32/1.55 (assume @p815 (forall @t70 (=> @t898 (=> @t239 (not @t238))))) % 1.32/1.55 (assume @p816 (forall @t917 (=> @t908 (=> @t238 @t919)))) % 1.32/1.55 (assume @p817 (forall @t682 (=> @t898 (=> @t239 @t921)))) % 1.32/1.55 (assume @p818 (forall @t170 (=> @t908 (=> @t279 (=> @t552 @t922))))) % 1.32/1.55 (assume @p819 (forall @t174 (=> @t912 (=> @t197 (=> @t552 @t923))))) % 1.32/1.55 (assume @p820 (forall @t174 (=> @t908 (=> @t111 (=> (tptp.c_Orderings_Oord__class_Oless @t25 @t156 @t110) @t922))))) % 1.32/1.55 (assume @p821 (forall @t174 (=> @t912 (=> @t111 (=> @t300 @t923))))) % 1.32/1.55 (assume @p822 (forall @t291 (=> @t908 (=> @t279 @t924)))) % 1.32/1.55 (assume @p823 (forall @t114 (=> @t898 (=> @t197 (not @t279))))) % 1.32/1.55 (assume @p824 (forall @t70 (=> @t908 (=> @t239 (not (= @t42 @t43)))))) % 1.32/1.55 (assume @p825 (forall @t70 (=> @t908 (=> @t239 @t242)))) % 1.32/1.55 (assume @p826 (forall @t70 (=> @t905 @t243))) % 1.32/1.55 (assume @p827 (forall @t910 (=> @t905 (=> (not @t928) @t927)))) % 1.32/1.55 (assume @p828 (forall @t70 (=> @t905 (or @t239 @t241 @t238)))) % 1.32/1.55 (assume @p829 (forall @t77 (=> @t905 (= @t926 (or @t928 @t438))))) % 1.32/1.55 (assume @p830 (forall @t77 (=> @t905 (= @t439 (or @t925 @t928))))) % 1.32/1.55 (assume @p831 (forall @t186 (=> @t898 (not (tptp.c_Orderings_Oord__class_Oless @t25 @t43 @t43))))) % 1.32/1.55 (assume @p832 (forall @t917 (=> @t908 (=> @t903 @t919)))) % 1.32/1.55 (assume @p833 (forall @t682 (=> @t898 (=> @t904 @t921)))) % 1.32/1.55 (assume @p834 (forall @t917 (=> @t908 (=> @t238 (=> @t916 @t918))))) % 1.32/1.55 (assume @p835 (forall @t682 (=> @t898 (=> @t239 (=> @t914 @t920))))) % 1.32/1.55 (assume @p836 (forall @t291 (=> @t908 (=> @t169 (=> @t929 @t279))))) % 1.32/1.55 (assume @p837 (forall @t114 (=> @t908 (=> @t161 (=> @t929 @t197))))) % 1.32/1.55 (assume @p838 (forall @t70 (=> @t908 (=> @t904 (or @t239 @t241))))) % 1.32/1.55 (assume @p839 (forall @t77 (=> @t905 (=> @t907 @t927)))) % 1.32/1.55 (assume @p840 (forall @t70 (=> @t898 (=> @t239 @t904)))) % 1.32/1.55 (assume @p841 (forall @t915 (=> @t905 (=> @t903 @t240)))) % 1.32/1.55 (assume @p842 (forall @t114 (=> @t908 (=> @t929 (=> @t169 @t279))))) % 1.32/1.55 (assume @p843 (forall @t114 (=> @t908 (=> @t929 (=> @t161 @t197))))) % 1.32/1.55 (assume @p844 (forall @t77 (=> @t905 (=> @t926 @t909)))) % 1.32/1.55 (assume @p845 (forall @t915 (=> @t905 (=> (not @t903) @t239)))) % 1.32/1.55 (assume @p846 (forall @t70 (=> @t905 (=> @t240 @t903)))) % 1.32/1.55 (assume @p847 (forall @t77 (=> @t908 (= @t907 (or @t925 @t438))))) % 1.32/1.55 (assume @p848 (forall @t77 (=> @t898 (= @t925 (and @t907 (not @t906)))))) % 1.32/1.55 (assume @p849 (forall @t77 (=> @t908 (= @t925 (and @t907 @t439))))) % 1.32/1.55 (assume @p850 (forall @t70 (=> @t905 (or @t904 @t238)))) % 1.32/1.55 (assume @p851 (forall @t77 (=> @t905 (= (not @t907) @t928)))) % 1.32/1.55 (assume @p852 (forall @t77 (=> @t905 (= @t926 @t906)))) % 1.32/1.55 (assume @p853 (exists (@list @t374 @t930) (and (not (= @t930 @t78)) (not (= @t374 @t9)) (exists @t808 (and (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t806 @t374) @t13) @t813) (forall @t595 (= @t820 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t819 (tptp.hAPP (tptp.hAPP @t80 (tptp.hAPP @t594 @t374)) (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t930 @t804)) @t593)))))))))) % 1.32/1.55 (assume @p854 (forall @t325 (=> @t692 (= (tptp.c_RComplete_Onatceiling @t932) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t931 @t13))))) % 1.32/1.55 (assume @p855 (forall @t902 (=> @t901 (= (tptp.c_Orderings_Oord__class_Oless @t899 @t2 @t1) (and @t900 (not (tptp.c_Orderings_Oord__class_Oless__eq @t899 @t1 @t2))))))) % 1.32/1.55 (assume @p856 (= (tptp.c_RComplete_Onatceiling @t7) @t9)) % 1.32/1.55 (assume @p857 (forall @t325 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t9 @t931))) % 1.32/1.55 (assume @p858 (forall @t415 (=> @t407 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t931 (tptp.c_RComplete_Onatceiling @t42))))) % 1.32/1.55 (assume @p859 (= (tptp.c_RComplete_Onatceiling @t8) @t13)) % 1.32/1.55 (assume @p860 (forall @t325 (=> @t933 (= @t931 @t9)))) % 1.32/1.55 (assume @p861 (forall @t596 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t934 @t13) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t8)))) % 1.32/1.55 (assume @p862 (forall @t65 (=> @t187 (= @t26 (tptp.c_Power_Opower_Opower @t25 @t32 @t29))))) % 1.32/1.55 (assume @p863 (forall @t65 (=> @t507 (exists @t754 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t751) @t752))))) % 1.32/1.55 (assume @p864 (forall (@list @t102 @t936 @t935 @t25) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower @t25 @t935 @t936) @t102) @t9) @t935))) % 1.32/1.55 (assume @p865 (forall (@list @t938 @t937 @t25 @t747) (=> (and (tptp.class_RealVector_Oreal__normed__vector @t747) @t912) (=> (forall @t372 (=> @t941 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t747 (tptp.c_Groups_Ominus__class_Ominus @t747 @t939 @t940)) @t8))) (forall @t372 (=> @t941 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t747 @t940) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t8 (tptp.c_RealVector_Onorm__class_Onorm @t747 @t939))))))))) % 1.32/1.55 (assume @p866 (forall @t249 (=> @t51 (exists @t754 (and @t753 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 (tptp.hAPP (tptp.hAPP @t29 @t3) @t42)) @t942))))))) % 1.32/1.55 (assume @p867 (forall @t65 (=> @t51 (exists @t754 (and @t753 (forall (@list @t930 @t943) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 (tptp.hAPP (tptp.hAPP @t29 @t930) @t943)) (tptp.hAPP (tptp.hAPP @t16 (tptp.hAPP (tptp.hAPP @t16 (tptp.c_RealVector_Onorm__class_Onorm @t25 @t930)) (tptp.c_RealVector_Onorm__class_Onorm @t25 @t943))) @t751)))))))) % 1.32/1.55 (assume @p868 (forall @t186 (=> @t51 (exists @t754 (and @t753 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t25 (tptp.hAPP @t44 @t3)) @t942))))))) % 1.32/1.55 (assume @p869 (not (forall @t808 (=> @t807 (not @t805))))) % 1.32/1.55 (assume @p870 (forall @t325 (=> @t692 (= (tptp.c_RComplete_Onatfloor @t932) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t944 @t13))))) % 1.32/1.55 (assume @p871 (= (tptp.c_RComplete_Onatfloor @t8) @t13)) % 1.32/1.55 (assume @p872 (= (tptp.c_RComplete_Onatfloor @t7) @t9)) % 1.32/1.55 (assume @p873 (forall @t325 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t9 @t944))) % 1.32/1.55 (assume @p874 (forall @t415 (=> @t407 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t944 (tptp.c_RComplete_Onatfloor @t42))))) % 1.32/1.55 (assume @p875 (forall @t325 (=> @t933 (= @t944 @t9)))) % 1.32/1.55 (assume @p876 (forall @t596 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t13 @t945) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t8 @t53)))) % 1.32/1.55 (assume @p877 (forall (@list @t110 @t24) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t24) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t110) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t126 @t946) (tptp.c_RComplete_Onatfloor @t110)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t16 @t24) @t110))))))) % 1.32/1.55 (assume @p878 (forall @t950 (and @t949 (=> (not @t948) (= @t947 @t743))))) % 1.32/1.55 (assume @p879 (forall @t408 (=> @t952 @t951))) % 1.32/1.55 (assume @p880 (forall @t415 (=> @t840 (=> @t846 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t743 @t947))))) % 1.32/1.55 (assume @p881 (forall @t950 @t949)) % 1.32/1.55 (assume @p882 (forall @t954 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t84) @t953))) % 1.32/1.55 (assume @p883 (forall @t408 (=> @t414 @t953))) % 1.32/1.55 (assume @p884 (forall @t415 (=> @t414 @t952))) % 1.32/1.55 (assume @p885 (forall @t954 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 @t84) @t951))) % 1.32/1.55 (assume @p886 (forall @t957 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t955 @t43) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t43 @t956) (= @t931 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t23 @t13)))))) % 1.32/1.55 (assume @p887 (forall @t889 (=> @t222 (= (tptp.c_Polynomial_Opos__poly @t25 @t862) (or (tptp.c_Polynomial_Opos__poly @t25 @t798) (and @t799 @t457)))))) % 1.32/1.55 (assume @p888 (forall @t315 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t955))) % 1.32/1.55 (assume @p889 (forall @t367 (=> @t343 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t604) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t958 @t955))))) % 1.32/1.55 (assume @p890 (forall @t315 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t955 @t7)))) % 1.32/1.55 (assume @p891 (forall @t616 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t960 @t959) @t412))) % 1.32/1.55 (assume @p892 (forall @t963 (=> @t222 (=> @t962 (=> @t961 (tptp.c_Polynomial_Opos__poly @t25 @t875)))))) % 1.32/1.55 (assume @p893 (forall @t342 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t128) (tptp.hAPP (tptp.hAPP @t16 @t958) @t955)))) % 1.32/1.55 (assume @p894 (forall @t963 (=> @t222 (=> @t962 (=> @t961 (tptp.c_Polynomial_Opos__poly @t25 @t871)))))) % 1.32/1.55 (assume @p895 (forall @t65 (=> @t222 (not (tptp.c_Polynomial_Opos__poly @t25 @t797))))) % 1.32/1.55 (assume @p896 (forall @t361 (= (= @t960 @t7) @t96))) % 1.32/1.55 (assume @p897 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t9) @t7)) % 1.32/1.55 (assume @p898 (forall @t616 (= (= @t960 @t959) (= @t95 @t308)))) % 1.32/1.55 (assume @p899 (forall @t342 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t310) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t958 @t955)))) % 1.32/1.55 (assume @p900 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t13) @t8)) % 1.32/1.55 (assume @p901 (forall @t325 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t964) @t964))) % 1.32/1.55 (assume @p902 (forall @t342 (= @t966 @t965))) % 1.32/1.55 (assume @p903 (forall @t342 (= @t965 @t966))) % 1.32/1.55 (assume @p904 (forall @t361 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t960 @t7) @t96))) % 1.32/1.55 (assume @p905 (forall @t77 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless__eq @t796 @t53 @t71) (or @t438 @t967))))) % 1.32/1.55 (assume @p906 (forall @t325 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t43 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t931)))) % 1.32/1.55 (assume @p907 (forall @t616 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t960 @t959) @t968))) % 1.32/1.55 (assume @p908 (forall @t315 (= (tptp.c_RComplete_Onatceiling @t955) @t23))) % 1.32/1.55 (assume @p909 (forall @t315 (= (tptp.c_RComplete_Onatfloor @t955) @t23))) % 1.32/1.55 (assume @p910 (forall @t325 (=> @t692 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t969 @t43)))) % 1.32/1.55 (assume @p911 (forall @t970 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t964 @t24) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 @t946)))) % 1.32/1.55 (assume @p912 (forall @t970 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t43 @t971) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t931 @t24)))) % 1.32/1.55 (assume @p913 (forall @t545 (=> (= @t43 @t969) (= (tptp.c_RComplete_Onatfloor @t542) (tptp.hAPP (tptp.hAPP @t98 @t944) @t23))))) % 1.32/1.55 (assume @p914 (forall @t361 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t960) @t436))) % 1.32/1.55 (assume @p915 (forall @t616 (= @t412 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t960 @t8) @t959)))) % 1.32/1.55 (assume @p916 (forall @t616 (= @t968 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t960 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t959 @t8))))) % 1.32/1.55 (assume @p917 (forall @t623 (=> @t973 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t102 @t945) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t972 @t53))))) % 1.32/1.55 (assume @p918 (forall @t855 (=> @t222 (or @t841 @t962 (tptp.c_Polynomial_Opos__poly @t25 @t869))))) % 1.32/1.55 (assume @p919 (forall @t623 (=> @t973 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t934 @t102) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t972))))) % 1.32/1.55 (assume @p920 (forall @t325 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t43 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t969 @t8)))) % 1.32/1.55 (assume @p921 (forall @t976 (=> @t975 (= (tptp.c_RComplete_Onatfloor @t974) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t944 @t24))))) % 1.32/1.55 (assume @p922 (forall @t325 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t43 @t8) @t969))) % 1.32/1.55 (assume @p923 (forall @t976 (=> @t975 (= (tptp.c_RComplete_Onatceiling @t974) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t931 @t24))))) % 1.32/1.55 (assume @p924 (forall @t545 (=> @t692 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t43 @t955) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t944 @t23))))) % 1.32/1.55 (assume @p925 (forall @t970 (=> @t692 (= (tptp.c_RComplete_Onatfloor @t977) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t944 @t24))))) % 1.32/1.55 (assume @p926 (forall (@list @t23 @t84) (=> (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 @t84) @t13) @t23) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t84 @t955)))) % 1.32/1.55 (assume @p927 (forall @t957 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t955 @t43) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t43 @t956) (= @t944 @t23))))) % 1.32/1.55 (assume @p928 (forall @t970 (=> @t692 (= (tptp.c_RComplete_Onatceiling @t977) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t931 @t24))))) % 1.32/1.55 (assume @p929 (forall @t77 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless @t796 @t53 @t71) @t967)))) % 1.32/1.55 (assume @p930 (forall @t545 (=> @t692 (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 @t16 @t955) @t43) @t8) (tptp.hAPP (tptp.hAPP @t10 @t932) @t23))))) % 1.32/1.55 (assume @p931 (forall @t722 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t41) (exists @t372 (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 @t369 @t13)) @t41) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t41 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t369))))))) % 1.32/1.55 (assume @p932 (forall @t114 (=> @t483 (= (tptp.c_Groups_Ominus__class_Ominus @t25 @t478 @t480) @t498)))) % 1.32/1.55 (assume @p933 (forall (@list @t598 @t84 @t252) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t252) (exists @t638 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t635) (forall @t470 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t979) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t979 @t635)) (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 @t978 @t469) (tptp.hAPP @t978 @t84))) @t252)))))))) % 1.32/1.55 (assume @p934 (forall (@list @t938 @t25) (=> @t908 (= (tptp.c_SEQ_Odecseq @t25 @t938) (forall (@list @t738 @t369) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t738 @t369) (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t940 (tptp.hAPP @t938 @t738)))))))) % 1.32/1.55 (assume @p935 (forall @t77 (=> @t981 (= (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t525 @t980) @t906)))) % 1.32/1.55 (assume @p936 (forall @t70 (=> @t981 (=> @t904 (tptp.c_Orderings_Oord__class_Oless__eq @t25 @t691 @t519))))) % 1.32/1.55 (assume @p937 (forall (@list @t53 @t982 @t983 @t747 @t25) (=> (tptp.class_Groups_Ominus @t25) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t985 @t983 @t982) @t53) (tptp.c_Groups_Ominus__class_Ominus @t25 @t984 (tptp.hAPP @t982 @t53)))))) % 1.32/1.55 (assume @p938 (forall @t91 (=> @t986 (= @t182 @t24)))) % 1.32/1.55 (assume @p939 (forall @t186 (=> @t986 (= @t67 @t43)))) % 1.32/1.55 (assume @p940 (forall @t114 (=> @t986 (= (tptp.hAPP @t30 @t145) @t145)))) % 1.32/1.55 (assume @p941 (forall @t186 (=> @t981 (= (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t519) @t43)))) % 1.32/1.55 (assume @p942 (forall (@list @t53 @t983 @t747 @t25) (=> (tptp.class_Groups_Ouminus @t25) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t985 @t983) @t53) (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t984))))) % 1.32/1.55 (assume @p943 (forall @t77 (=> @t981 (= (= @t525 @t980) @t438)))) % 1.32/1.55 (assume @p944 (forall @t65 (=> @t507 (exists @t754 @t752)))) % 1.32/1.55 (assume @p945 (forall @t186 (=> @t222 (and (=> @t989 (= @t987 @t797)) (=> (not @t989) (and (=> @t988 (= @t987 @t879)) (=> (not @t988) (= @t987 (tptp.c_Groups_Ouminus__class_Ouminus @t796 @t879))))))))) % 1.32/1.55 (assume @p946 (forall @t122 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t34 @t990) @t457)))) % 1.32/1.55 (assume @p947 (forall @t122 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless @t25 @t990 @t34) @t458)))) % 1.32/1.55 (assume @p948 (forall @t70 (=> @t94 (= (tptp.c_Groups_Osgn__class_Osgn @t25 @t45) (tptp.hAPP @t992 (tptp.c_Groups_Osgn__class_Osgn @t25 @t42)))))) % 1.32/1.55 (assume @p949 (forall @t114 (=> @t222 (= (tptp.c_Groups_Osgn__class_Osgn @t25 @t145) (tptp.hAPP (tptp.hAPP @t29 @t993) (tptp.c_Groups_Osgn__class_Osgn @t25 @t110)))))) % 1.32/1.55 (assume @p950 (forall @t65 (=> @t995 @t994))) % 1.32/1.55 (assume @p951 (forall @t58 (=> @t57 (= (= (tptp.c_Groups_Osgn__class_Osgn @t25 @t53) @t34) @t54)))) % 1.32/1.55 (assume @p952 (forall @t122 (=> @t222 (= (= @t990 @t34) @t121)))) % 1.32/1.55 (assume @p953 (forall @t65 (=> @t57 @t994))) % 1.32/1.55 (assume @p954 (forall @t91 (=> @t222 (= (tptp.c_Groups_Osgn__class_Osgn @t25 @t993) @t993)))) % 1.32/1.55 (assume @p955 (forall @t729 (=> @t229 (= (tptp.c_Groups_Osgn__class_Osgn @t25 @t728) (tptp.c_RealVector_Oof__real @t25 (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t41)))))) % 1.32/1.55 (assume @p956 (forall @t186 (=> @t222 (= (tptp.hAPP @t992 (tptp.c_Groups_Oabs__class_Oabs @t25 @t43)) @t43)))) % 1.32/1.55 (assume @p957 (forall (@list @t344 @t25) (=> @t222 (= @t996 (tptp.hAPP (tptp.hAPP @t29 @t344) (tptp.c_Groups_Osgn__class_Osgn @t25 @t344)))))) % 1.32/1.55 (assume @p958 (forall @t65 (=> @t229 (= (tptp.c_Groups_Osgn__class_Osgn @t25 @t32) @t32)))) % 1.32/1.55 (assume @p959 (forall @t186 (=> @t57 (= (tptp.c_Groups_Osgn__class_Osgn @t25 @t519) (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t991))))) % 1.32/1.55 (assume @p960 (forall @t122 (=> @t222 (= (= @t990 @t32) @t457)))) % 1.32/1.55 (assume @p961 (forall @t91 (=> @t222 (=> @t35 (= @t993 @t32))))) % 1.32/1.55 (assume @p962 (forall @t122 (=> @t222 (= (= @t990 @t539) @t458)))) % 1.32/1.55 (assume @p963 (forall @t91 (=> @t222 (=> @t286 (= @t993 @t539))))) % 1.32/1.55 (assume @p964 (forall @t186 (=> @t995 (and (=> @t312 (= @t991 @t34)) (=> @t998 (and (=> @t997 (= @t991 @t32)) (=> (not @t997) (= @t991 @t539)))))))) % 1.32/1.55 (assume @p965 (forall @t186 (=> @t57 (and (=> @t312 (= @t999 @t7)) (=> @t998 (= @t999 @t8)))))) % 1.32/1.55 (assume @p966 (forall @t870 (=> @t514 (tptp.c_Rings_Odvd__class_Odvd @t796 (tptp.hAPP (tptp.hAPP @t880 (tptp.c_Polynomial_OpCons @t25 @t478 @t891)) (tptp.c_Polynomial_Oorder @t25 @t24 @t598)) @t598)))) % 1.32/1.55 (assume @p967 (forall (@list @t1000 @t598 @t24 @t25) (=> @t844 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t25 @t842 @t1000) (tptp.c_Groups_Oplus__class_Oplus @t796 (tptp.c_Polynomial_Osmult @t25 @t1000 @t1001) (tptp.c_Polynomial_OpCons @t25 @t24 @t1001)))))) % 1.32/1.55 (assume @p968 (forall @t91 (=> @t601 (tptp.c_Rings_Odvd__class_Odvd @t25 @t24 @t34)))) % 1.32/1.55 (assume @p969 (forall @t682 (=> @t690 (=> @t1002 (=> (tptp.c_Rings_Odvd__class_Odvd @t25 @t43 @t84) (tptp.c_Rings_Odvd__class_Odvd @t25 @t43 (tptp.c_Groups_Ominus__class_Ominus @t25 @t42 @t84))))))) % 1.32/1.55 (assume @p970 (forall @t77 (=> @t690 (= (tptp.c_Rings_Odvd__class_Odvd @t25 @t525 @t71) @t1003)))) % 1.32/1.55 (assume @p971 (forall @t77 (=> @t690 (= (tptp.c_Rings_Odvd__class_Odvd @t25 @t53 @t980) @t1003)))) % 1.32/1.55 (assume @p972 (forall (@list @t1004 @t1005 @t488 @t25) (=> (and @t866 @t1006) (=> (tptp.c_Rings_Odvd__class_Odvd @t25 @t488 @t1005) (forall (@list @t3 @t374) (= (tptp.c_Rings_Odvd__class_Odvd @t25 @t488 (tptp.c_Groups_Oplus__class_Oplus @t25 @t3 @t1004)) (tptp.c_Rings_Odvd__class_Odvd @t25 @t488 (tptp.c_Groups_Oplus__class_Oplus @t25 (tptp.c_Groups_Ominus__class_Ominus @t25 @t3 (tptp.hAPP (tptp.hAPP @t29 @t374) @t1005)) @t1004)))))))) % 1.32/1.55 (assume @p973 (forall (@list @t858 @t798 @t102 @t25) (=> @t468 (= (tptp.c_Rings_Odvd__class_Odvd @t796 @t890 @t858) (and (=> @t121 (= @t858 @t797)) (=> @t724 (tptp.c_Rings_Odvd__class_Odvd @t796 @t798 @t858))))))) % 1.32/1.55 (assume @p974 (forall (@list @t371 @t410 @t25) (=> (and @t1006 @t307) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t410 (tptp.hAPP (tptp.hAPP @t29 @t371) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t25 @t371 (tptp.c_Groups_Oplus__class_Oplus @t25 @t3 @t34)) (tptp.hBOOL (tptp.hAPP @t410 @t3)))))))) % 1.32/1.55 (assume @p975 (forall (@list @t344 @t358 @t25) (=> @t222 (=> (= (tptp.c_Groups_Oabs__class_Oabs @t25 @t358) @t996) (tptp.c_Rings_Odvd__class_Odvd @t25 @t358 @t344))))) % 1.32/1.55 (assume @p976 (forall @t1008 (=> @t222 (= (tptp.c_Rings_Odvd__class_Odvd @t25 (tptp.c_Groups_Oabs__class_Oabs @t25 @t308) @t370) @t1007)))) % 1.32/1.55 (assume @p977 (forall @t1008 (=> @t222 (= (tptp.c_Rings_Odvd__class_Odvd @t25 @t308 (tptp.c_Groups_Oabs__class_Oabs @t25 @t370)) @t1007)))) % 1.32/1.55 (assume @p978 (forall (@list @t23 @t42 @t43 @t25) (=> @t601 (=> @t1002 (tptp.c_Rings_Odvd__class_Odvd @t25 @t227 (tptp.hAPP @t687 @t23)))))) % 1.32/1.55 (assume @p979 (forall @t91 (=> @t601 (tptp.c_Rings_Odvd__class_Odvd @t25 @t32 @t24)))) % 1.32/1.55 (assume @p980 (forall (@list @t1009 @t798 @t25) (=> @t844 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t25 @t798 @t1009) @t797) @t799)))) % 1.32/1.55 (assume @p981 (forall (@list @t1000 @t25) (=> @t844 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t25 @t797 @t1000) @t797)))) % 1.32/1.55 (assume @p982 (forall @t174 (=> @t601 (=> @t1011 (=> @t1010 (tptp.c_Rings_Odvd__class_Odvd @t25 @t24 @t560)))))) % 1.32/1.55 (assume @p983 (forall @t174 (=> @t601 (=> @t1011 (=> (tptp.c_Rings_Odvd__class_Odvd @t25 @t110 @t156) @t1010))))) % 1.32/1.55 (assume @p984 (forall @t91 (=> @t601 (tptp.c_Rings_Odvd__class_Odvd @t25 @t24 @t24)))) % 1.32/1.55 (assume @p985 (forall @t91 (=> @t601 (=> (tptp.c_Rings_Odvd__class_Odvd @t25 @t34 @t24) @t117)))) % 1.32/1.55 (assume @p986 (forall @t214 (=> @t514 (= (tptp.c_Rings_Odvd__class_Odvd @t25 @t211 @t210) @t1012)))) % 1.32/1.55 (assume @p987 (forall @t297 (=> @t514 (= (tptp.c_Rings_Odvd__class_Odvd @t25 @t296 @t295) @t1012)))) % 1.32/1.55 (assume @p988 (forall @t114 (=> @t601 (tptp.c_Rings_Odvd__class_Odvd @t25 @t24 @t145)))) % 1.32/1.55 (assume @p989 (forall @t1016 (=> @t1015 (tptp.class_Groups_Ocancel__comm__monoid__add @t1014)))) % 1.32/1.55 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p991 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p992 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p993 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p994 (forall @t1019 (=> (tptp.class_Lattices_Oboolean__algebra @t1013) (tptp.class_Lattices_Oboolean__algebra @t1018)))) % 1.32/1.55 (assume @p995 (forall @t1019 (=> (tptp.class_Orderings_Opreorder @t1013) (tptp.class_Orderings_Opreorder @t1018)))) % 1.32/1.55 (assume @p996 (forall @t1019 (=> (tptp.class_Orderings_Oorder @t1013) (tptp.class_Orderings_Oorder @t1018)))) % 1.32/1.55 (assume @p997 (forall @t1019 (=> (tptp.class_Orderings_Oord @t1013) (tptp.class_Orderings_Oord @t1018)))) % 1.32/1.55 (assume @p998 (forall @t1019 (=> (tptp.class_Groups_Ouminus @t1013) (tptp.class_Groups_Ouminus @t1018)))) % 1.32/1.55 (assume @p999 (forall @t1019 (=> (tptp.class_Groups_Ominus @t1013) (tptp.class_Groups_Ominus @t1018)))) % 1.32/1.55 (assume @p1000 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1001 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1002 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1003 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1004 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1005 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1006 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1007 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1008 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1009 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1010 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1011 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1012 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1013 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1014 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1015 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1016 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1017 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1018 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1019 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1020 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1021 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1022 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1023 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1024 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1025 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1026 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1027 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1028 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1029 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1030 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1031 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1032 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1033 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1034 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1035 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1036 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1037 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1038 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1039 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1040 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1041 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1042 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1043 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1044 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1045 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1046 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1047 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1048 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1049 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1050 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1051 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1052 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1053 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1054 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1055 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1056 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1057 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1058 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1059 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.32/1.55 (assume @p1060 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1061 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1062 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1063 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1064 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1065 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1066 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1067 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1068 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1069 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1070 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1071 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1072 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1073 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1074 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1075 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1076 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1077 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1078 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1079 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1080 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1081 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1082 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1083 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1084 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1085 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1086 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1087 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1088 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1089 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1090 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1091 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1092 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1093 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1094 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1095 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1096 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.32/1.55 (assume @p1097 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.32/1.55 (assume @p1098 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.32/1.55 (assume @p1099 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.32/1.55 (assume @p1100 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.32/1.55 (assume @p1101 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.32/1.55 (assume @p1102 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.32/1.55 (assume @p1103 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1104 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1105 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1106 @t1020) % 1.32/1.55 (assume @p1107 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1108 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1109 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1110 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1111 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1112 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1113 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1114 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1115 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1116 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1117 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1118 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1119 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1120 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1121 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1122 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1123 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1124 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1125 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1126 (tptp.class_RealVector_Oreal__div__algebra tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1127 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1128 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1129 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1130 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1131 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1132 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1133 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1134 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1135 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1136 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1137 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1138 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1139 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1140 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1141 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1142 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1143 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1144 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1145 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1146 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1147 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1148 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1149 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1150 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1151 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1152 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1153 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1154 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1155 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1156 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1157 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1158 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1159 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1160 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1161 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1162 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1163 (tptp.class_Groups_Ouminus tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1164 (tptp.class_Groups_Osgn__if tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1165 (tptp.class_Groups_Oabs__if tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1166 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1167 (tptp.class_Groups_Ominus tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1168 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1169 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1170 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1171 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1172 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1173 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1174 (tptp.class_Rings_Odvd tptp.tc_RealDef_Oreal)) % 1.32/1.55 (assume @p1175 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1176 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1177 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1178 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1179 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1180 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1181 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1182 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1183 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1184 (tptp.class_RealVector_Oreal__div__algebra tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1185 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1186 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1187 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1188 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1189 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1190 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1191 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1192 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1193 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1194 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1195 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1196 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1197 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1198 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1199 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1200 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1201 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1202 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1203 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1204 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1205 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1206 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1207 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1208 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1209 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1210 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1211 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1212 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1213 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1214 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1215 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1216 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1217 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 1.32/1.55 (assume @p1218 (forall @t1016 (=> @t1021 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1014)))) % 1.32/1.55 (assume @p1219 (forall @t1016 (=> @t1022 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1014)))) % 1.32/1.55 (assume @p1220 (forall @t1016 (=> @t1022 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1014)))) % 1.32/1.55 (assume @p1221 (forall @t1016 (=> @t1022 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1014)))) % 1.32/1.55 (assume @p1222 (forall @t1016 (=> @t1022 (tptp.class_Rings_Olinordered__semiring__1__strict @t1014)))) % 1.32/1.55 (assume @p1223 (forall @t1016 (=> @t1022 (tptp.class_Rings_Olinordered__semiring__strict @t1014)))) % 1.32/1.55 (assume @p1224 (forall @t1016 (=> @t1022 (tptp.class_Groups_Oordered__ab__semigroup__add @t1014)))) % 1.32/1.55 (assume @p1225 (forall @t1016 (=> @t1022 (tptp.class_Groups_Oordered__ab__group__add__abs @t1014)))) % 1.32/1.55 (assume @p1226 (forall @t1016 (=> @t1022 (tptp.class_Groups_Oordered__comm__monoid__add @t1014)))) % 1.32/1.55 (assume @p1227 (forall @t1016 (=> @t1022 (tptp.class_Groups_Olinordered__ab__group__add @t1014)))) % 1.32/1.55 (assume @p1228 (forall @t1016 (=> @t1015 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1014)))) % 1.32/1.55 (assume @p1229 (forall @t1016 (=> @t1021 (tptp.class_Rings_Oring__1__no__zero__divisors @t1014)))) % 1.32/1.55 (assume @p1230 (forall @t1016 (=> @t1022 (tptp.class_Rings_Oordered__cancel__semiring @t1014)))) % 1.32/1.55 (assume @p1231 (forall @t1016 (=> @t1022 (tptp.class_Rings_Olinordered__ring__strict @t1014)))) % 1.32/1.55 (assume @p1232 (forall @t1016 (=> @t1021 (tptp.class_Rings_Oring__no__zero__divisors @t1014)))) % 1.32/1.55 (assume @p1233 (forall @t1016 (=> @t1022 (tptp.class_Rings_Oordered__comm__semiring @t1014)))) % 1.32/1.55 (assume @p1234 (forall @t1016 (=> @t1022 (tptp.class_Rings_Olinordered__semiring__1 @t1014)))) % 1.32/1.55 (assume @p1235 (forall @t1016 (=> @t1022 (tptp.class_Groups_Oordered__ab__group__add @t1014)))) % 1.32/1.55 (assume @p1236 (forall @t1016 (=> @t1015 (tptp.class_Groups_Ocancel__semigroup__add @t1014)))) % 1.32/1.55 (assume @p1237 (forall @t1016 (=> @t1022 (tptp.class_Rings_Olinordered__semiring @t1014)))) % 1.32/1.55 (assume @p1238 (forall @t1016 (=> @t1022 (tptp.class_Rings_Olinordered__semidom @t1014)))) % 1.32/1.55 (assume @p1239 (forall @t1016 (=> @t1023 (tptp.class_Groups_Oab__semigroup__mult @t1014)))) % 1.32/1.55 (assume @p1240 (forall @t1016 (=> @t1024 (tptp.class_Groups_Ocomm__monoid__mult @t1014)))) % 1.32/1.55 (assume @p1241 (forall @t1016 (=> @t1025 (tptp.class_Groups_Oab__semigroup__add @t1014)))) % 1.32/1.55 (assume @p1242 (forall @t1016 (=> @t1022 (tptp.class_Rings_Oordered__semiring @t1014)))) % 1.32/1.55 (assume @p1243 (forall @t1016 (=> @t1022 (tptp.class_Rings_Oordered__ring__abs @t1014)))) % 1.32/1.55 (assume @p1244 (forall @t1016 (=> @t1021 (tptp.class_Rings_Ono__zero__divisors @t1014)))) % 1.32/1.55 (assume @p1245 (forall @t1016 (=> @t1025 (tptp.class_Groups_Ocomm__monoid__add @t1014)))) % 1.32/1.55 (assume @p1246 (forall @t1016 (=> @t1022 (tptp.class_Rings_Olinordered__ring @t1014)))) % 1.32/1.55 (assume @p1247 (forall @t1016 (=> @t1022 (tptp.class_Rings_Olinordered__idom @t1014)))) % 1.32/1.55 (assume @p1248 (forall @t1016 (=> @t1024 (tptp.class_Rings_Ocomm__semiring__1 @t1014)))) % 1.32/1.55 (assume @p1249 (forall @t1016 (=> @t1023 (tptp.class_Rings_Ocomm__semiring__0 @t1014)))) % 1.32/1.55 (assume @p1250 (forall @t1016 (=> @t1023 (tptp.class_Rings_Ocomm__semiring @t1014)))) % 1.32/1.55 (assume @p1251 (forall @t1016 (=> @t1026 (tptp.class_Groups_Oab__group__add @t1014)))) % 1.32/1.55 (assume @p1252 (forall @t1016 (=> @t1024 (tptp.class_Rings_Ozero__neq__one @t1014)))) % 1.32/1.55 (assume @p1253 (forall @t1016 (=> @t1022 (tptp.class_Rings_Oordered__ring @t1014)))) % 1.32/1.55 (assume @p1254 (forall @t1016 (=> @t1022 (tptp.class_Orderings_Opreorder @t1014)))) % 1.32/1.55 (assume @p1255 (forall @t1016 (=> @t1022 (tptp.class_Orderings_Olinorder @t1014)))) % 1.32/1.55 (assume @p1256 (forall @t1016 (=> @t1024 (tptp.class_Groups_Omonoid__mult @t1014)))) % 1.32/1.55 (assume @p1257 (forall @t1016 (=> @t1027 (tptp.class_Rings_Ocomm__ring__1 @t1014)))) % 1.32/1.55 (assume @p1258 (forall @t1016 (=> @t1025 (tptp.class_Groups_Omonoid__add @t1014)))) % 1.32/1.55 (assume @p1259 (forall @t1016 (=> @t1023 (tptp.class_Rings_Osemiring__0 @t1014)))) % 1.32/1.55 (assume @p1260 (forall @t1016 (=> @t1026 (tptp.class_Groups_Ogroup__add @t1014)))) % 1.32/1.55 (assume @p1261 (forall @t1016 (=> @t1023 (tptp.class_Rings_Omult__zero @t1014)))) % 1.32/1.55 (assume @p1262 (forall @t1016 (=> @t1028 (tptp.class_Rings_Ocomm__ring @t1014)))) % 1.32/1.55 (assume @p1263 (forall @t1016 (=> @t1022 (tptp.class_Orderings_Oorder @t1014)))) % 1.32/1.55 (assume @p1264 (forall @t1016 (=> @t1022 (tptp.class_Int_Oring__char__0 @t1014)))) % 1.32/1.55 (assume @p1265 (forall @t1016 (=> @t1023 (tptp.class_Rings_Osemiring @t1014)))) % 1.32/1.55 (assume @p1266 (forall @t1016 (=> @t1022 (tptp.class_Orderings_Oord @t1014)))) % 1.32/1.55 (assume @p1267 (forall @t1016 (=> @t1026 (tptp.class_Groups_Ouminus @t1014)))) % 1.32/1.55 (assume @p1268 (forall @t1016 (=> @t1022 (tptp.class_Groups_Osgn__if @t1014)))) % 1.32/1.55 (assume @p1269 (forall @t1016 (=> @t1022 (tptp.class_Groups_Oabs__if @t1014)))) % 1.32/1.55 (assume @p1270 (forall @t1016 (=> @t1027 (tptp.class_Rings_Oring__1 @t1014)))) % 1.32/1.55 (assume @p1271 (forall @t1016 (=> @t1026 (tptp.class_Groups_Ominus @t1014)))) % 1.32/1.55 (assume @p1272 (forall @t1016 (=> @t1024 (tptp.class_Power_Opower @t1014)))) % 1.32/1.55 (assume @p1273 (forall @t1016 (=> (tptp.class_Groups_Ozero @t1013) (tptp.class_Groups_Ozero @t1014)))) % 1.32/1.55 (assume @p1274 (forall @t1016 (=> @t1028 (tptp.class_Rings_Oring @t1014)))) % 1.32/1.55 (assume @p1275 (forall @t1016 (=> @t1021 (tptp.class_Rings_Oidom @t1014)))) % 1.32/1.55 (assume @p1276 (forall @t1016 (=> @t1024 (tptp.class_Groups_Oone @t1014)))) % 1.32/1.55 (assume @p1277 (forall @t1016 (=> @t1024 (tptp.class_Rings_Odvd @t1014)))) % 1.32/1.55 (assume @p1278 (not @t1030)) % 1.32/1.55 (assume @p1279 true) % 1.32/1.55 (step @p1280 :rule aci_norm :args ((= (or @t1032 @t1034) @t1033))) % 1.32/1.55 (step @p1281 :rule aci_norm :args ((= (or @t924 (or @t1031 @t199)) @t1034))) % 1.32/1.55 (step @p1282 :rule bool-impl-elim :args (@t192 @t199)) % 1.32/1.55 (step @p1283 :rule refl :args (@t924)) % 1.32/1.55 (step @p1284 :rule nary_cong :premises (@p1283 @p1282) :args ((or @t924 @t280))) % 1.32/1.55 (step @p1285 :rule trans :premises (@p1284 @p1281)) % 1.32/1.55 (step @p1286 :rule bool-impl-elim :args (@t197 @t280)) % 1.32/1.55 (step @p1287 :rule trans :premises (@p1286 @p1285)) % 1.32/1.55 (step @p1288 :rule refl :args (@t1032)) % 1.32/1.55 (step @p1289 :rule nary_cong :premises (@p1288 @p1287) :args ((or @t1032 @t281))) % 1.32/1.55 (step @p1290 :rule trans :premises (@p1289 @p1280)) % 1.32/1.55 (step @p1291 :rule bool-impl-elim :args (@t282 @t281)) % 1.32/1.55 (step @p1292 :rule trans :premises (@p1291 @p1290)) % 1.32/1.55 (step @p1293 :rule cong :premises (@p1292) :args (@t283)) % 1.32/1.55 (step @p1294 :rule eq_resolve :premises (@p127 @p1293)) % 1.32/1.55 (step @p1295 :rule cnf_or_pos :args (@t1038)) % 1.32/1.55 (step @p1296 :rule reordering :premises (@p1295) :args ((or @t1030 @t1035 @t1036 @t1037 @t1039))) % 1.32/1.55 (step @p1297 :rule chain_m_resolution :premises (@p1296 @p1278 @p6 @p7 @p1106) :args (@t1039 (@list true false false false) (@list @t1030 @t12 @t20 @t1020))) % 1.32/1.55 (assume-push @p1304 @t1040) % 1.32/1.55 (step @p1299 :rule instantiate :premises (@p1294) :args ((@list @t11 @t8 @t19 tptp.tc_RealDef_Oreal))) % 1.32/1.55 (step-pop @p1305 :rule scope :premises (@p1299)) % 1.32/1.55 (step @p1300 :rule process_scope :premises (@p1305) :args (@t1038)) % 1.32/1.55 (step @p1302 :rule implies_elim :premises (@p1300)) % 1.32/1.55 (step @p1303 false :rule chain_m_resolution :premises (@p1302 @p1297 @p1294) :args (false (@list true false) (@list @t1038 @t1040))) % 1.32/1.55 ) % 1.32/1.55 % SZS output end Proof % 1.32/1.55 % cvc5 exiting %------------------------------------------------------------------------------