%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW218+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 : n023.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 09:04:32 AM UTC 2026 % Result : Theorem 0.83s 1.09s % Output : Proof 0.83s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW218+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n023.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 21:41:13 EDT 2026 % 0.15/0.34 % CPUTime : % 0.43/0.72 %----Proving TF0_NAR, FOF, or CNF % 0.83/1.09 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.83/1.09 % SZS status Theorem % 0.83/1.09 % SZS output start Proof % 0.83/1.09 ( % 0.83/1.09 (declare-sort $$unsorted 0) % 0.83/1.09 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_Complex_Ocis (-> $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.tc_HOL_Obool $$unsorted) % 0.83/1.09 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.v_thesis____ Bool) % 0.83/1.09 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_NthRoot_Oroot (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.tc_Nat_Onat $$unsorted) % 0.83/1.09 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_Polynomial_OAbs__poly (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_RealDef_Opositive (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.83/1.09 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.v_p $$unsorted) % 0.83/1.09 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_Orderings_Oorder_Omono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.83/1.09 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.83/1.09 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.v_r $$unsorted) % 0.83/1.09 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 0.83/1.09 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.83/1.09 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 0.83/1.09 (define @t1 () (@var "V_g_2" $$unsorted)) % 0.83/1.09 (define @t2 () (@var "V_f_2" $$unsorted)) % 0.83/1.09 (define @t3 () (@var "B_x" $$unsorted)) % 0.83/1.09 (define @t4 () (tptp.hAPP @t1 @t3)) % 0.83/1.09 (define @t5 () (tptp.hAPP @t2 @t3)) % 0.83/1.09 (define @t6 () (@list @t3)) % 0.83/1.09 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 0.83/1.09 (define @t8 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 tptp.v_r)) % 0.83/1.09 (define @t9 () (@var "B_s" $$unsorted)) % 0.83/1.09 (define @t10 () (@var "B_y" $$unsorted)) % 0.83/1.09 (define @t11 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t9)) % 0.83/1.09 (define @t12 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t3)) % 0.83/1.09 (define @t13 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t3)) % 0.83/1.09 (define @t14 () (@var "B_z" $$unsorted)) % 0.83/1.09 (define @t15 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p)) % 0.83/1.09 (define @t16 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t15 @t14))) % 0.83/1.09 (define @t17 () (= @t16 @t13)) % 0.83/1.09 (define @t18 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t14)) % 0.83/1.09 (define @t19 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t18 tptp.v_r)) % 0.83/1.09 (define @t20 () (and @t19 @t17)) % 0.83/1.09 (define @t21 () (@list @t14)) % 0.83/1.09 (define @t22 () (exists @t21 @t20)) % 0.83/1.09 (define @t23 () (and @t22 @t12)) % 0.83/1.09 (define @t24 () (exists @t6 @t23)) % 0.83/1.09 (define @t25 () (= @t24 @t11)) % 0.83/1.09 (define @t26 () (@list @t10)) % 0.83/1.09 (define @t27 () (forall @t26 @t25)) % 0.83/1.09 (define @t28 () (@list @t9)) % 0.83/1.09 (define @t29 () (exists @t28 @t27)) % 0.83/1.09 (define @t30 () (@var "B_za" $$unsorted)) % 0.83/1.09 (define @t31 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 0.83/1.09 (define @t32 () (@var "V_x_2" $$unsorted)) % 0.83/1.09 (define @t33 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t32 @t31)) % 0.83/1.09 (define @t34 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t32)) % 0.83/1.09 (define @t35 () (@var "V_z_2" $$unsorted)) % 0.83/1.09 (define @t36 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 0.83/1.09 (define @t37 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t15 @t36))) % 0.83/1.09 (define @t38 () (@var "V_x" $$unsorted)) % 0.83/1.09 (define @t39 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t38)) % 0.83/1.09 (define @t40 () (@list @t38)) % 0.83/1.09 (define @t41 () (@var "T_a" $$unsorted)) % 0.83/1.09 (define @t42 () (tptp.class_Orderings_Opreorder @t41)) % 0.83/1.09 (define @t43 () (@list @t38 @t41)) % 0.83/1.09 (define @t44 () (@var "V_p" $$unsorted)) % 0.83/1.09 (define @t45 () (tptp.c_Polynomial_Opoly @t41 @t44)) % 0.83/1.09 (define @t46 () (tptp.hAPP @t45 @t38)) % 0.83/1.09 (define @t47 () (tptp.tc_Polynomial_Opoly @t41)) % 0.83/1.09 (define @t48 () (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t44)) % 0.83/1.09 (define @t49 () (tptp.class_Rings_Ocomm__ring @t41)) % 0.83/1.09 (define @t50 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t38)) % 0.83/1.09 (define @t51 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t38)) % 0.83/1.09 (define @t52 () (tptp.class_RealVector_Oreal__normed__vector @t41)) % 0.83/1.09 (define @t53 () (@var "V_y_2" $$unsorted)) % 0.83/1.09 (define @t54 () (= @t32 @t53)) % 0.83/1.09 (define @t55 () (not @t54)) % 0.83/1.09 (define @t56 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t32 @t53)) % 0.83/1.09 (define @t57 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t32 @t53)) % 0.83/1.09 (define @t58 () (@list @t53 @t32)) % 0.83/1.09 (define @t59 () (@var "B_w" $$unsorted)) % 0.83/1.09 (define @t60 () (@var "V_a_2" $$unsorted)) % 0.83/1.09 (define @t61 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t60)) % 0.83/1.09 (define @t62 () (@var "V_b_2" $$unsorted)) % 0.83/1.09 (define @t63 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t62)) % 0.83/1.09 (define @t64 () (tptp.class_Groups_Oordered__ab__group__add @t41)) % 0.83/1.09 (define @t65 () (@list @t62 @t60 @t41)) % 0.83/1.09 (define @t66 () (tptp.c_Groups_Oone__class_Oone @t41)) % 0.83/1.09 (define @t67 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t41)) % 0.83/1.09 (define @t68 () (@list @t41)) % 0.83/1.09 (define @t69 () (tptp.c_Groups_Ozero__class_Ozero @t41)) % 0.83/1.09 (define @t70 () (tptp.c_Groups_Oone__class_Oone @t47)) % 0.83/1.09 (define @t71 () (tptp.class_Rings_Ocomm__semiring__1 @t41)) % 0.83/1.09 (define @t72 () (tptp.c_Groups_Ozero__class_Ozero @t47)) % 0.83/1.09 (define @t73 () (tptp.c_Polynomial_Opoly @t41 @t72)) % 0.83/1.09 (define @t74 () (tptp.class_Rings_Ocomm__semiring__0 @t41)) % 0.83/1.09 (define @t75 () (= @t32 @t66)) % 0.83/1.09 (define @t76 () (@list @t32 @t41)) % 0.83/1.09 (define @t77 () (= @t32 @t69)) % 0.83/1.09 (define @t78 () (tptp.class_Groups_Ozero @t41)) % 0.83/1.09 (define @t79 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t32)) % 0.83/1.09 (define @t80 () (= @t60 @t69)) % 0.83/1.09 (define @t81 () (tptp.class_Groups_Olinordered__ab__group__add @t41)) % 0.83/1.09 (define @t82 () (@list @t60 @t41)) % 0.83/1.09 (define @t83 () (tptp.class_Groups_Ogroup__add @t41)) % 0.83/1.09 (define @t84 () (not @t77)) % 0.83/1.09 (define @t85 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t60)) % 0.83/1.09 (define @t86 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t60 @t69)) % 0.83/1.09 (define @t87 () (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t60)) % 0.83/1.09 (define @t88 () (tptp.c_Orderings_Oord__class_Oless @t41 @t60 @t69)) % 0.83/1.09 (define @t89 () (@var "V_y" $$unsorted)) % 0.83/1.09 (define @t90 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t89 @t38)) % 0.83/1.09 (define @t91 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t38 @t89)) % 0.83/1.09 (define @t92 () (tptp.class_Orderings_Olinorder @t41)) % 0.83/1.09 (define @t93 () (@list @t89 @t38 @t41)) % 0.83/1.09 (define @t94 () (tptp.hAPP @t2 @t32)) % 0.83/1.09 (define @t95 () (@var "T_b" $$unsorted)) % 0.83/1.09 (define @t96 () (tptp.tc_fun @t41 @t95)) % 0.83/1.09 (define @t97 () (tptp.c_Orderings_Oord__class_Oless__eq @t96 @t2 @t1)) % 0.83/1.09 (define @t98 () (tptp.class_Orderings_Oord @t95)) % 0.83/1.09 (define @t99 () (@var "V_z" $$unsorted)) % 0.83/1.09 (define @t100 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t99 @t89)) % 0.83/1.09 (define @t101 () (tptp.class_Orderings_Oorder @t41)) % 0.83/1.09 (define @t102 () (@list @t99 @t38 @t89 @t41)) % 0.83/1.09 (define @t103 () (= @t38 @t89)) % 0.83/1.09 (define @t104 () (@list @t38 @t89 @t41)) % 0.83/1.09 (define @t105 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t89 @t99)) % 0.83/1.09 (define @t106 () (@list @t99 @t89 @t38 @t41)) % 0.83/1.09 (define @t107 () (@var "V_a" $$unsorted)) % 0.83/1.09 (define @t108 () (@var "V_c" $$unsorted)) % 0.83/1.09 (define @t109 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t108 @t107)) % 0.83/1.09 (define @t110 () (@var "V_b" $$unsorted)) % 0.83/1.09 (define @t111 () (= @t110 @t108)) % 0.83/1.09 (define @t112 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t110 @t107)) % 0.83/1.09 (define @t113 () (@list @t108 @t107 @t110 @t41)) % 0.83/1.09 (define @t114 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t107 @t108)) % 0.83/1.09 (define @t115 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t107 @t110)) % 0.83/1.09 (define @t116 () (tptp.class_Orderings_Oord @t41)) % 0.83/1.09 (define @t117 () (@list @t108 @t110 @t107 @t41)) % 0.83/1.09 (define @t118 () (= @t107 @t110)) % 0.83/1.09 (define @t119 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t110 @t108)) % 0.83/1.09 (define @t120 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t32 @t53)) % 0.83/1.09 (define @t121 () (= @t120 @t54)) % 0.83/1.09 (define @t122 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t53 @t32)) % 0.83/1.09 (define @t123 () (@list @t32 @t53 @t41)) % 0.83/1.09 (define @t124 () (@list @t53 @t32 @t41)) % 0.83/1.09 (define @t125 () (@list @t1 @t2 @t41 @t95)) % 0.83/1.09 (define @t126 () (tptp.c_Orderings_Oord__class_Oless @t41 @t89 @t38)) % 0.83/1.09 (define @t127 () (not @t103)) % 0.83/1.09 (define @t128 () (tptp.c_Orderings_Oord__class_Oless @t41 @t38 @t89)) % 0.83/1.09 (define @t129 () (not @t128)) % 0.83/1.09 (define @t130 () (tptp.c_Orderings_Oord__class_Oless @t41 @t99 @t38)) % 0.83/1.09 (define @t131 () (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t99 @t89) @t130)) % 0.83/1.09 (define @t132 () (tptp.c_Orderings_Oord__class_Oless @t41 @t38 @t99)) % 0.83/1.09 (define @t133 () (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t89 @t99) @t132)) % 0.83/1.09 (define @t134 () (tptp.c_Orderings_Oord__class_Oless @t41 @t108 @t107)) % 0.83/1.09 (define @t135 () (tptp.c_Orderings_Oord__class_Oless @t41 @t110 @t107)) % 0.83/1.09 (define @t136 () (tptp.c_Orderings_Oord__class_Oless @t41 @t107 @t108)) % 0.83/1.09 (define @t137 () (tptp.c_Orderings_Oord__class_Oless @t41 @t107 @t110)) % 0.83/1.09 (define @t138 () (tptp.c_Orderings_Oord__class_Oless @t41 @t110 @t108)) % 0.83/1.09 (define @t139 () (@list @t107 @t110 @t41)) % 0.83/1.09 (define @t140 () (@list @t110 @t107 @t41)) % 0.83/1.09 (define @t141 () (not (= @t89 @t38))) % 0.83/1.09 (define @t142 () (=> @t127 (=> @t129 @t126))) % 0.83/1.09 (define @t143 () (tptp.c_Orderings_Oord__class_Oless @t41 @t32 @t53)) % 0.83/1.09 (define @t144 () (not @t143)) % 0.83/1.09 (define @t145 () (= @t144 @t54)) % 0.83/1.09 (define @t146 () (tptp.c_Orderings_Oord__class_Oless @t41 @t53 @t32)) % 0.83/1.09 (define @t147 () (= @t60 @t62)) % 0.83/1.09 (define @t148 () (= @t60 @t63)) % 0.83/1.09 (define @t149 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t107)) % 0.83/1.09 (define @t150 () (@list @t107 @t41)) % 0.83/1.09 (define @t151 () (@var "V_w" $$unsorted)) % 0.83/1.09 (define @t152 () (= @t99 @t151)) % 0.83/1.09 (define @t153 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t151 @t99)) % 0.83/1.09 (define @t154 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t99 @t151)) % 0.83/1.09 (define @t155 () (@list @t151 @t99)) % 0.83/1.09 (define @t156 () (@var "V_k" $$unsorted)) % 0.83/1.09 (define @t157 () (@var "V_i" $$unsorted)) % 0.83/1.09 (define @t158 () (@var "V_j" $$unsorted)) % 0.83/1.09 (define @t159 () (@list @t156 @t158 @t157)) % 0.83/1.09 (define @t160 () (@list @t151)) % 0.83/1.09 (define @t161 () (@var "V_q_2" $$unsorted)) % 0.83/1.09 (define @t162 () (@var "V_pa_2" $$unsorted)) % 0.83/1.09 (define @t163 () (= @t162 @t161)) % 0.83/1.09 (define @t164 () (tptp.c_Polynomial_Opoly @t41 @t162)) % 0.83/1.09 (define @t165 () (tptp.class_Rings_Oidom @t41)) % 0.83/1.09 (define @t166 () (and (tptp.class_Int_Oring__char__0 @t41) @t165)) % 0.83/1.09 (define @t167 () (@list @t161 @t162 @t41)) % 0.83/1.09 (define @t168 () (not @t118)) % 0.83/1.09 (define @t169 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t110)) % 0.83/1.09 (define @t170 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t60 @t62)) % 0.83/1.09 (define @t171 () (@list @t60 @t62 @t41)) % 0.83/1.09 (define @t172 () (tptp.c_Orderings_Oord__class_Oless @t41 @t60 @t62)) % 0.83/1.09 (define @t173 () (tptp.class_Rings_Olinordered__idom @t41)) % 0.83/1.09 (define @t174 () (tptp.class_Rings_Olinordered__semidom @t41)) % 0.83/1.09 (define @t175 () (tptp.class_Lattices_Oboolean__algebra @t41)) % 0.83/1.09 (define @t176 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t53)) % 0.83/1.09 (define @t177 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t32)) % 0.83/1.09 (define @t178 () (@var "B_m" $$unsorted)) % 0.83/1.09 (define @t179 () (@var "V_r" $$unsorted)) % 0.83/1.09 (define @t180 () (@list @t178)) % 0.83/1.09 (define @t181 () (tptp.class_Rings_Ozero__neq__one @t41)) % 0.83/1.09 (define @t182 () (tptp.c_Groups_Osgn__class_Osgn @t41 @t38)) % 0.83/1.09 (define @t183 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t182)) % 0.83/1.09 (define @t184 () (= @t38 @t69)) % 0.83/1.09 (define @t185 () (not @t184)) % 0.83/1.09 (define @t186 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t66)) % 0.83/1.09 (define @t187 () (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t38)) % 0.83/1.09 (define @t188 () (tptp.class_Groups_Osgn__if @t41)) % 0.83/1.09 (define @t189 () (tptp.c_Groups_Osgn__class_Osgn @t47 @t38)) % 0.83/1.09 (define @t190 () (tptp.c_Orderings_Oord__class_Oless @t47 @t72 @t38)) % 0.83/1.09 (define @t191 () (= @t38 @t72)) % 0.83/1.09 (define @t192 () (tptp.c_Groups_Osgn__class_Osgn @t41 @t107)) % 0.83/1.09 (define @t193 () (tptp.c_Groups_Osgn__class_Osgn @t41 @t60)) % 0.83/1.09 (define @t194 () (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t69) @t69)) % 0.83/1.09 (define @t195 () (= @t162 @t72)) % 0.83/1.09 (define @t196 () (@list @t162 @t41)) % 0.83/1.09 (define @t197 () (tptp.class_Groups_Oab__group__add @t41)) % 0.83/1.09 (define @t198 () (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t107)) % 0.83/1.09 (define @t199 () (tptp.c_Orderings_Oord__class_Oless @t41 @t107 @t69)) % 0.83/1.09 (define @t200 () (@var "V_A_2" $$unsorted)) % 0.83/1.09 (define @t201 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t38)) % 0.83/1.09 (define @t202 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t38)) % 0.83/1.09 (define @t203 () (=> @t202 (= @t201 @t31))) % 0.83/1.09 (define @t204 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t31)) % 0.83/1.09 (define @t205 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t107)) % 0.83/1.09 (define @t206 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t107)) % 0.83/1.09 (define @t207 () (= @t107 @t7)) % 0.83/1.09 (define @t208 () (@list @t107)) % 0.83/1.09 (define @t209 () (= @t38 @t7)) % 0.83/1.09 (define @t210 () (not @t209)) % 0.83/1.09 (define @t211 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 0.83/1.09 (define @t212 () (tptp.tc_Polynomial_Opoly @t95)) % 0.83/1.09 (define @t213 () (tptp.c_Groups_Ozero__class_Ozero @t212)) % 0.83/1.09 (define @t214 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t95)) @t213) @t35) @t35)) % 0.83/1.09 (define @t215 () (tptp.class_Groups_Ozero @t95)) % 0.83/1.09 (define @t216 () (tptp.c_Polynomial_Opos__poly @t41 @t44)) % 0.83/1.09 (define @t217 () (= @t44 @t72)) % 0.83/1.09 (define @t218 () (@list @t44 @t41)) % 0.83/1.09 (define @t219 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t38)) % 0.83/1.09 (define @t220 () (tptp.c_RealDef_Opositive @t38)) % 0.83/1.09 (define @t221 () (@var "B_K" $$unsorted)) % 0.83/1.09 (define @t222 () (@var "B_n" $$unsorted)) % 0.83/1.09 (define @t223 () (@var "V_X_2" $$unsorted)) % 0.83/1.09 (define @t224 () (tptp.hAPP @t223 @t222)) % 0.83/1.09 (define @t225 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t224)) % 0.83/1.09 (define @t226 () (@list @t222)) % 0.83/1.09 (define @t227 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t221)) % 0.83/1.09 (define @t228 () (@list @t221)) % 0.83/1.09 (define @t229 () (exists @t228 (and @t227 (forall @t226 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t225 @t221))))) % 0.83/1.09 (define @t230 () (tptp.c_SEQ_OBseq @t41 @t223)) % 0.83/1.09 (define @t231 () (@list @t223 @t41)) % 0.83/1.09 (define @t232 () (@var "V_n" $$unsorted)) % 0.83/1.09 (define @t233 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t70) @t232)) % 0.83/1.09 (define @t234 () (= @t232 @t211)) % 0.83/1.09 (define @t235 () (not @t234)) % 0.83/1.09 (define @t236 () (@list @t232 @t41)) % 0.83/1.09 (define @t237 () (tptp.c_Polynomial_OpCons @t41 @t66 @t72)) % 0.83/1.09 (define @t238 () (tptp.c_Polynomial_OpCons @t41 @t107 @t44)) % 0.83/1.09 (define @t239 () (tptp.c_Polynomial_Ocoeff @t41 @t238)) % 0.83/1.09 (define @t240 () (@list @t44 @t107 @t41)) % 0.83/1.09 (define @t241 () (tptp.c_Polynomial_OpCons @t41 @t60 @t162)) % 0.83/1.09 (define @t242 () (tptp.c_Polynomial_Ocoeff @t41 @t32)) % 0.83/1.09 (define @t243 () (tptp.c_Polynomial_Ocoeff @t41 @t162)) % 0.83/1.09 (define @t244 () (tptp.c_Polynomial_Opoly__rec @t41 @t95 @t35 @t2 @t162)) % 0.83/1.09 (define @t245 () (tptp.hAPP (tptp.hAPP @t2 @t60) @t162)) % 0.83/1.09 (define @t246 () (tptp.c_Polynomial_Opoly__rec @t41 @t95 @t35 @t2 (tptp.c_Polynomial_OpCons @t95 @t60 @t162))) % 0.83/1.09 (define @t247 () (tptp.c_Polynomial_Opos__poly @t41 @t162)) % 0.83/1.09 (define @t248 () (@list @t162 @t60 @t41)) % 0.83/1.09 (define @t249 () (tptp.c_Polynomial_Ocoeff @t41 @t44)) % 0.83/1.09 (define @t250 () (tptp.hAPP @t249 @t232)) % 0.83/1.09 (define @t251 () (@list @t232 @t44 @t41)) % 0.83/1.09 (define @t252 () (@list @t232)) % 0.83/1.09 (define @t253 () (@var "V_K_2" $$unsorted)) % 0.83/1.09 (define @t254 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t225 @t253)) % 0.83/1.09 (define @t255 () (@var "V_c_2" $$unsorted)) % 0.83/1.09 (define @t256 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t255)) % 0.83/1.09 (define @t257 () (tptp.c_Rings_Odvd__class_Odvd @t47)) % 0.83/1.09 (define @t258 () (@list @t255 @t162 @t41)) % 0.83/1.09 (define @t259 () (tptp.c_Polynomial_OpCons @t41 @t107 @t72)) % 0.83/1.09 (define @t260 () (@var "V_h" $$unsorted)) % 0.83/1.09 (define @t261 () (tptp.c_Polynomial_Osynthetic__div @t41 @t44 @t108)) % 0.83/1.09 (define @t262 () (tptp.hAPP @t45 @t108)) % 0.83/1.09 (define @t263 () (tptp.c_Rings_Odvd__class_Odvd @t41)) % 0.83/1.09 (define @t264 () (tptp.hAPP @t263 @t107)) % 0.83/1.09 (define @t265 () (@var "V_n_2" $$unsorted)) % 0.83/1.09 (define @t266 () (@var "V_m_2" $$unsorted)) % 0.83/1.09 (define @t267 () (= @t266 @t265)) % 0.83/1.09 (define @t268 () (not @t267)) % 0.83/1.09 (define @t269 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t266 @t265)) % 0.83/1.09 (define @t270 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t266 @t265)) % 0.83/1.09 (define @t271 () (@list @t265 @t266)) % 0.83/1.09 (define @t272 () (or @t270 @t267)) % 0.83/1.09 (define @t273 () (@var "V_m" $$unsorted)) % 0.83/1.09 (define @t274 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t273 @t232)) % 0.83/1.09 (define @t275 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t273 @t232)) % 0.83/1.09 (define @t276 () (@list @t232 @t273)) % 0.83/1.09 (define @t277 () (= @t273 @t232)) % 0.83/1.09 (define @t278 () (not @t277)) % 0.83/1.09 (define @t279 () (@var "V_P_2" $$unsorted)) % 0.83/1.09 (define @t280 () (tptp.hAPP @t279 @t265)) % 0.83/1.09 (define @t281 () (tptp.hBOOL (tptp.hAPP @t280 @t266))) % 0.83/1.09 (define @t282 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t265 @t266)) % 0.83/1.09 (define @t283 () (@var "V_t" $$unsorted)) % 0.83/1.09 (define @t284 () (@var "V_s" $$unsorted)) % 0.83/1.09 (define @t285 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t273)) % 0.83/1.09 (define @t286 () (@list @t273 @t232)) % 0.83/1.09 (define @t287 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t89)) % 0.83/1.09 (define @t288 () (@list @t89 @t38)) % 0.83/1.09 (define @t289 () (tptp.hBOOL (tptp.hAPP @t264 @t108))) % 0.83/1.09 (define @t290 () (tptp.hAPP @t263 @t110)) % 0.83/1.09 (define @t291 () (tptp.hBOOL (tptp.hAPP @t290 @t108))) % 0.83/1.09 (define @t292 () (tptp.hBOOL (tptp.hAPP @t264 @t110))) % 0.83/1.09 (define @t293 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t232 @t273)) % 0.83/1.09 (define @t294 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157 @t158)) % 0.83/1.09 (define @t295 () (= @t107 @t69)) % 0.83/1.09 (define @t296 () (tptp.hAPP @t263 @t32)) % 0.83/1.09 (define @t297 () (tptp.hBOOL (tptp.hAPP @t296 @t53))) % 0.83/1.09 (define @t298 () (tptp.class_Rings_Ocomm__ring__1 @t41)) % 0.83/1.09 (define @t299 () (@var "V_h_2" $$unsorted)) % 0.83/1.09 (define @t300 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t232)) % 0.83/1.09 (define @t301 () (= @t265 @t211)) % 0.83/1.09 (define @t302 () (@list @t265)) % 0.83/1.09 (define @t303 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t265)) % 0.83/1.09 (define @t304 () (not @t301)) % 0.83/1.09 (define @t305 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t89)) % 0.83/1.09 (define @t306 () (tptp.hAPP @t223 @t178)) % 0.83/1.09 (define @t307 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t178 @t222)) % 0.83/1.09 (define @t308 () (@list @t178 @t222)) % 0.83/1.09 (define @t309 () (tptp.c_Polynomial_Oorder @t41 @t107 @t44)) % 0.83/1.09 (define @t310 () (tptp.c_Power_Opower__class_Opower @t47)) % 0.83/1.09 (define @t311 () (tptp.hAPP @t310 (tptp.c_Polynomial_OpCons @t41 @t149 @t237))) % 0.83/1.09 (define @t312 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t257 (tptp.hAPP @t311 @t309)) @t44))) % 0.83/1.09 (define @t313 () (tptp.c_SEQ_Oincseq @t41 @t223)) % 0.83/1.09 (define @t314 () (@var "V_N_2" $$unsorted)) % 0.83/1.09 (define @t315 () (tptp.c_Polynomial_Odegree @t41 @t44)) % 0.83/1.09 (define @t316 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t315 @t232)) % 0.83/1.09 (define @t317 () (= @t250 @t69)) % 0.83/1.09 (define @t318 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t315 @t232)) % 0.83/1.09 (define @t319 () (tptp.hAPP (tptp.hAPP @t310 (tptp.c_Polynomial_OpCons @t41 @t107 @t237)) @t232)) % 0.83/1.09 (define @t320 () (@list @t232 @t107 @t41)) % 0.83/1.09 (define @t321 () (tptp.c_Nat_Onat_Onat__case @t41 @t60 @t243)) % 0.83/1.09 (define @t322 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 0.83/1.09 (define @t323 () (tptp.hAPP (tptp.hAPP @t322 @t50) @t232)) % 0.83/1.09 (define @t324 () (tptp.c_Power_Opower__class_Opower @t41)) % 0.83/1.09 (define @t325 () (tptp.hAPP @t324 @t38)) % 0.83/1.09 (define @t326 () (tptp.hAPP @t325 @t232)) % 0.83/1.09 (define @t327 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t326)) % 0.83/1.09 (define @t328 () (tptp.class_RealVector_Oreal__normed__div__algebra @t41)) % 0.83/1.09 (define @t329 () (@list @t232 @t38 @t41)) % 0.83/1.09 (define @t330 () (tptp.hAPP (tptp.hAPP @t310 @t44) @t232)) % 0.83/1.09 (define @t331 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t41 @t44 @t260)) % 0.83/1.09 (define @t332 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 0.83/1.09 (define @t333 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t232) @t273))) % 0.83/1.09 (define @t334 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t273)) % 0.83/1.09 (define @t335 () (@var "V_f1_2" $$unsorted)) % 0.83/1.09 (define @t336 () (@var "V_f2_2" $$unsorted)) % 0.83/1.09 (define @t337 () (tptp.c_Nat_Onat_Onat__case @t41 @t335 @t336)) % 0.83/1.09 (define @t338 () (@var "V_q" $$unsorted)) % 0.83/1.09 (define @t339 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t257 @t44) @t338))) % 0.83/1.09 (define @t340 () (tptp.c_Polynomial_Odegree @t41 @t338)) % 0.83/1.09 (define @t341 () (tptp.c_Polynomial_Ocoeff @t41 @t338)) % 0.83/1.09 (define @t342 () (tptp.hAPP @t341 @t340)) % 0.83/1.09 (define @t343 () (tptp.hAPP @t249 @t315)) % 0.83/1.09 (define @t344 () (@list @t338 @t44 @t41)) % 0.83/1.09 (define @t345 () (tptp.c_Polynomial_Odegree @t41 @t162)) % 0.83/1.09 (define @t346 () (tptp.hAPP @t243 @t345)) % 0.83/1.09 (define @t347 () (not @t217)) % 0.83/1.09 (define @t348 () (not (= @t338 @t72))) % 0.83/1.09 (define @t349 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t156 @t232)) % 0.83/1.09 (define @t350 () (@list @t107 @t44 @t41)) % 0.83/1.09 (define @t351 () (tptp.hAPP @t324 @t110)) % 0.83/1.09 (define @t352 () (tptp.hAPP @t351 @t232)) % 0.83/1.09 (define @t353 () (tptp.hAPP @t324 @t107)) % 0.83/1.09 (define @t354 () (tptp.hAPP @t353 @t232)) % 0.83/1.09 (define @t355 () (tptp.c_Orderings_Oord__class_Oless @t41 @t354 @t352)) % 0.83/1.09 (define @t356 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t107)) % 0.83/1.09 (define @t357 () (@list @t232 @t110 @t107 @t41)) % 0.83/1.09 (define @t358 () (tptp.hAPP @t263 @t38)) % 0.83/1.09 (define @t359 () (@list @t38 @t232 @t41)) % 0.83/1.09 (define @t360 () (tptp.c_Orderings_Oord__class_Oless @t41 @t66 @t107)) % 0.83/1.09 (define @t361 () (tptp.hAPP @t353 @t273)) % 0.83/1.09 (define @t362 () (@list @t232 @t273 @t107 @t41)) % 0.83/1.09 (define @t363 () (tptp.hAPP @t324 @t62)) % 0.83/1.09 (define @t364 () (tptp.hAPP @t363 @t53)) % 0.83/1.09 (define @t365 () (tptp.hAPP @t363 @t32)) % 0.83/1.09 (define @t366 () (tptp.c_Orderings_Oord__class_Oless @t41 @t66 @t62)) % 0.83/1.09 (define @t367 () (@list @t53 @t32 @t62 @t41)) % 0.83/1.09 (define @t368 () (@var "V_N" $$unsorted)) % 0.83/1.09 (define @t369 () (tptp.hAPP @t353 @t368)) % 0.83/1.09 (define @t370 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t232 @t368)) % 0.83/1.09 (define @t371 () (@list @t107 @t368 @t232 @t41)) % 0.83/1.09 (define @t372 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t110)) % 0.83/1.09 (define @t373 () (@list @t110 @t232 @t107 @t41)) % 0.83/1.09 (define @t374 () (tptp.hAPP @t332 @t38)) % 0.83/1.09 (define @t375 () (tptp.hBOOL (tptp.hAPP @t374 @t89))) % 0.83/1.09 (define @t376 () (tptp.hAPP @t332 @t89)) % 0.83/1.09 (define @t377 () (tptp.hBOOL (tptp.hAPP @t376 @t38))) % 0.83/1.09 (define @t378 () (and @t375 (not @t377))) % 0.83/1.09 (define @t379 () (tptp.hAPP @t332 @t99)) % 0.83/1.09 (define @t380 () (tptp.hBOOL (tptp.hAPP @t374 @t99))) % 0.83/1.09 (define @t381 () (and @t380 (not (tptp.hBOOL (tptp.hAPP @t379 @t38))))) % 0.83/1.09 (define @t382 () (tptp.hBOOL (tptp.hAPP @t376 @t99))) % 0.83/1.09 (define @t383 () (=> (and @t382 (not (tptp.hBOOL (tptp.hAPP @t379 @t89)))) @t381)) % 0.83/1.09 (define @t384 () (@list @t99 @t89 @t38)) % 0.83/1.09 (define @t385 () (tptp.hAPP @t332 @t107)) % 0.83/1.09 (define @t386 () (tptp.hBOOL (tptp.hAPP @t385 @t110))) % 0.83/1.09 (define @t387 () (tptp.hAPP @t332 @t110)) % 0.83/1.09 (define @t388 () (tptp.hBOOL (tptp.hAPP @t387 @t107))) % 0.83/1.09 (define @t389 () (and @t386 (not @t388))) % 0.83/1.09 (define @t390 () (@list @t110 @t107)) % 0.83/1.09 (define @t391 () (tptp.hAPP @t332 @t108)) % 0.83/1.09 (define @t392 () (tptp.hBOOL (tptp.hAPP @t385 @t108))) % 0.83/1.09 (define @t393 () (and @t392 (not (tptp.hBOOL (tptp.hAPP @t391 @t107))))) % 0.83/1.09 (define @t394 () (@list @t108 @t110 @t107)) % 0.83/1.09 (define @t395 () (tptp.hBOOL (tptp.hAPP @t387 @t108))) % 0.83/1.09 (define @t396 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t273) @t232))) % 0.83/1.09 (define @t397 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t32) @t53))) % 0.83/1.09 (define @t398 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t53) @t32))) % 0.83/1.09 (define @t399 () (and @t397 (not @t398))) % 0.83/1.09 (define @t400 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 0.83/1.09 (define @t401 () (= @t266 @t400)) % 0.83/1.09 (define @t402 () (tptp.hAPP @t332 @t266)) % 0.83/1.09 (define @t403 () (@list @t266)) % 0.83/1.09 (define @t404 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t32)) % 0.83/1.09 (define @t405 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 0.83/1.09 (define @t406 () (tptp.hAPP @t405 @t32)) % 0.83/1.09 (define @t407 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 (tptp.hAPP @t406 @t265))) % 0.83/1.09 (define @t408 () (@list @t265 @t32)) % 0.83/1.09 (define @t409 () (tptp.hAPP @t405 @t157)) % 0.83/1.09 (define @t410 () (tptp.hAPP @t409 @t232)) % 0.83/1.09 (define @t411 () (tptp.hAPP @t409 @t273)) % 0.83/1.09 (define @t412 () (@list @t232 @t273 @t157)) % 0.83/1.09 (define @t413 () (tptp.class_Groups_Omonoid__mult @t41)) % 0.83/1.09 (define @t414 () (not @t295)) % 0.83/1.09 (define @t415 () (tptp.class_Rings_Oring__1__no__zero__divisors @t41)) % 0.83/1.09 (define @t416 () (tptp.hAPP @t324 @t89)) % 0.83/1.09 (define @t417 () (tptp.hAPP @t263 @t326)) % 0.83/1.09 (define @t418 () (tptp.hBOOL (tptp.hAPP @t358 @t89))) % 0.83/1.09 (define @t419 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t66 @t107)) % 0.83/1.09 (define @t420 () (tptp.hAPP @t324 @t60)) % 0.83/1.09 (define @t421 () (tptp.hAPP @t420 @t265)) % 0.83/1.09 (define @t422 () (tptp.class_Rings_Ono__zero__divisors @t41)) % 0.83/1.09 (define @t423 () (tptp.class_Rings_Omult__zero @t41)) % 0.83/1.09 (define @t424 () (tptp.class_Power_Opower @t41)) % 0.83/1.09 (define @t425 () (tptp.hAPP @t263 @t361)) % 0.83/1.09 (define @t426 () (tptp.hAPP @t324 @t69)) % 0.83/1.09 (define @t427 () (tptp.hAPP @t426 @t232)) % 0.83/1.09 (define @t428 () (tptp.class_Rings_Osemiring__0 @t41)) % 0.83/1.09 (define @t429 () (and @t424 @t428)) % 0.83/1.09 (define @t430 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t368)) % 0.83/1.09 (define @t431 () (tptp.c_Orderings_Oord__class_Oless @t41 @t107 @t66)) % 0.83/1.09 (define @t432 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t257 (tptp.hAPP @t311 (tptp.c_Nat_OSuc @t309))) @t44)))) % 0.83/1.09 (define @t433 () (@list @t62 @t60 @t265)) % 0.83/1.09 (define @t434 () (@list @t110 @t232 @t107)) % 0.83/1.09 (define @t435 () (tptp.c_Nat_OSuc @t232)) % 0.83/1.09 (define @t436 () (tptp.c_Nat_OSuc @t273)) % 0.83/1.09 (define @t437 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t436 @t435)) % 0.83/1.09 (define @t438 () (tptp.c_Nat_OSuc @t211)) % 0.83/1.09 (define @t439 () (@var "V_nat_H_2" $$unsorted)) % 0.83/1.09 (define @t440 () (@var "V_nat_2" $$unsorted)) % 0.83/1.09 (define @t441 () (tptp.c_Nat_OSuc @t440)) % 0.83/1.09 (define @t442 () (@list @t273)) % 0.83/1.09 (define @t443 () (@var "V_nat_H_1" $$unsorted)) % 0.83/1.09 (define @t444 () (@var "V_nat_H" $$unsorted)) % 0.83/1.09 (define @t445 () (= @t266 @t211)) % 0.83/1.09 (define @t446 () (tptp.c_Nat_OSuc @t266)) % 0.83/1.09 (define @t447 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t265 @t446)) % 0.83/1.09 (define @t448 () (tptp.c_Nat_OSuc @t265)) % 0.83/1.09 (define @t449 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t266 @t448)) % 0.83/1.09 (define @t450 () (= @t265 @t266)) % 0.83/1.09 (define @t451 () (= @t447 @t450)) % 0.83/1.09 (define @t452 () (@list @t266 @t265)) % 0.83/1.09 (define @t453 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t273 @t435)) % 0.83/1.09 (define @t454 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t436 @t232)) % 0.83/1.09 (define @t455 () (tptp.c_Nat_OSuc @t157)) % 0.83/1.09 (define @t456 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 @t158)) % 0.83/1.09 (define @t457 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t448 @t266)) % 0.83/1.09 (define @t458 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t265 @t266)) % 0.83/1.09 (define @t459 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t273 @t435)) % 0.83/1.09 (define @t460 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t436 @t232)) % 0.83/1.09 (define @t461 () (@var "B_j" $$unsorted)) % 0.83/1.09 (define @t462 () (= @t266 @t438)) % 0.83/1.09 (define @t463 () (tptp.hAPP @t351 @t435)) % 0.83/1.09 (define @t464 () (tptp.hAPP @t353 @t435)) % 0.83/1.09 (define @t465 () (tptp.c_Nat_OSuc @t438)) % 0.83/1.09 (define @t466 () (tptp.c_Nat_OSuc @t315)) % 0.83/1.09 (define @t467 () (tptp.c_Polynomial_Odegree @t41 @t238)) % 0.83/1.09 (define @t468 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint)) % 0.83/1.09 (define @t469 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 0.83/1.09 (define @t470 () (tptp.hAPP @t468 @t60)) % 0.83/1.09 (define @t471 () (=> @t347 (= @t467 @t466))) % 0.83/1.09 (define @t472 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t41 @t44)) % 0.83/1.09 (define @t473 () (@var "B_i" $$unsorted)) % 0.83/1.09 (define @t474 () (= (tptp.hAPP @t249 @t473) @t69)) % 0.83/1.09 (define @t475 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t473)) % 0.83/1.09 (define @t476 () (@list @t473)) % 0.83/1.09 (define @t477 () (@list @t44 @t232 @t41)) % 0.83/1.09 (define @t478 () (tptp.c_Polynomial_Opoly__gcd @t41 @t38 @t89)) % 0.83/1.09 (define @t479 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t478) (tptp.c_Polynomial_Odegree @t41 @t478))) % 0.83/1.09 (define @t480 () (and @t191 (= @t89 @t72))) % 0.83/1.09 (define @t481 () (not @t480)) % 0.83/1.09 (define @t482 () (tptp.class_Fields_Ofield @t41)) % 0.83/1.09 (define @t483 () (tptp.hAPP @t257 @t478)) % 0.83/1.09 (define @t484 () (tptp.c_Polynomial_Opoly__gcd @t41 @t107 @t110)) % 0.83/1.09 (define @t485 () (tptp.c_Polynomial_Opoly__gcd @t41 @t107 (tptp.c_Polynomial_Opoly__gcd @t41 @t110 @t108))) % 0.83/1.09 (define @t486 () (= @t53 @t72)) % 0.83/1.09 (define @t487 () (tptp.c_Polynomial_Opoly__gcd @t41 @t32 @t53)) % 0.83/1.09 (define @t488 () (@var "V_k_2" $$unsorted)) % 0.83/1.09 (define @t489 () (tptp.hAPP @t257 @t488)) % 0.83/1.09 (define @t490 () (tptp.hAPP @t257 @t156)) % 0.83/1.09 (define @t491 () (@list @t89 @t41)) % 0.83/1.09 (define @t492 () (@var "V_d" $$unsorted)) % 0.83/1.09 (define @t493 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t492) (tptp.c_Polynomial_Odegree @t41 @t492))) % 0.83/1.09 (define @t494 () (@var "B_k" $$unsorted)) % 0.83/1.09 (define @t495 () (tptp.hAPP @t257 @t494)) % 0.83/1.09 (define @t496 () (@list @t494)) % 0.83/1.09 (define @t497 () (tptp.hAPP @t257 @t492)) % 0.83/1.09 (define @t498 () (tptp.c_Orderings_Oorder_Omono tptp.tc_Nat_Onat @t41 @t332 @t2)) % 0.83/1.09 (define @t499 () (@var "B_N" $$unsorted)) % 0.83/1.09 (define @t500 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t499))) % 0.83/1.09 (define @t501 () (tptp.c_RealVector_Onorm__class_Onorm @t95 @t224)) % 0.83/1.09 (define @t502 () (@list @t499)) % 0.83/1.09 (define @t503 () (exists @t228 (and @t227 (forall @t226 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t501 @t221))))) % 0.83/1.09 (define @t504 () (tptp.class_RealVector_Oreal__normed__vector @t95)) % 0.83/1.09 (define @t505 () (@list @t223 @t95)) % 0.83/1.09 (define @t506 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t232)) % 0.83/1.09 (define @t507 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t266)) % 0.83/1.09 (define @t508 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t265)) % 0.83/1.09 (define @t509 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t273)) % 0.83/1.09 (define @t510 () (tptp.hAPP (tptp.hAPP @t322 @t509) @t232)) % 0.83/1.09 (define @t511 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t405 @t273) @t232))) % 0.83/1.09 (define @t512 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t435)) % 0.83/1.09 (define @t513 () (tptp.c_Nat_OSuc @t222)) % 0.83/1.09 (define @t514 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t513)) % 0.83/1.09 (define @t515 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t222)) % 0.83/1.09 (define @t516 () (@var "B_r" $$unsorted)) % 0.83/1.09 (define @t517 () (tptp.hAPP @t322 @t516)) % 0.83/1.09 (define @t518 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t516)) % 0.83/1.09 (define @t519 () (@list @t516)) % 0.83/1.09 (define @t520 () (@list @t107 @t232)) % 0.83/1.09 (define @t521 () (tptp.c_RComplete_Onatfloor @t38)) % 0.83/1.09 (define @t522 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t38)) % 0.83/1.09 (define @t523 () (@list @t232 @t38)) % 0.83/1.09 (define @t524 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t32 @t31)) % 0.83/1.09 (define @t525 () (tptp.c_RComplete_Onatceiling @t32)) % 0.83/1.09 (define @t526 () (@list @t32)) % 0.83/1.09 (define @t527 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t60)) % 0.83/1.09 (define @t528 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t32)) % 0.83/1.09 (define @t529 () (@list @t60 @t32)) % 0.83/1.09 (define @t530 () (@list @t232 @t107)) % 0.83/1.09 (define @t531 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t31 @t32)) % 0.83/1.09 (define @t532 () (tptp.c_RComplete_Onatfloor @t32)) % 0.83/1.09 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t89)) % 0.83/1.09 (define @t534 () (tptp.c_RComplete_Onatceiling @t38)) % 0.83/1.09 (define @t535 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t7)) % 0.83/1.09 (define @t536 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t521)) % 0.83/1.09 (define @t537 () (tptp.c_RComplete_Onatfloor @t107)) % 0.83/1.09 (define @t538 () (@list @t107 @t38)) % 0.83/1.09 (define @t539 () (tptp.hAPP @t322 @t38)) % 0.83/1.09 (define @t540 () (tptp.hAPP @t539 @t232)) % 0.83/1.09 (define @t541 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t107)) % 0.83/1.09 (define @t542 () (@list @t232 @t99)) % 0.83/1.09 (define @t543 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t506 @t31)) % 0.83/1.09 (define @t544 () (@list @t38 @t232)) % 0.83/1.09 (define @t545 () (tptp.c_NthRoot_Oroot @t368 @t38)) % 0.83/1.09 (define @t546 () (tptp.c_NthRoot_Oroot @t232 @t38)) % 0.83/1.09 (define @t547 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t31)) % 0.83/1.09 (define @t548 () (@list @t38 @t368 @t232)) % 0.83/1.09 (define @t549 () (tptp.hAPP @t322 @t546)) % 0.83/1.09 (define @t550 () (= (tptp.hAPP @t549 @t232) @t38)) % 0.83/1.09 (define @t551 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t273 @t232)) % 0.83/1.09 (define @t552 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t266 @t265)) % 0.83/1.09 (define @t553 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t273 @t435)) % 0.83/1.09 (define @t554 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t436 @t232)) % 0.83/1.09 (define @t555 () (tptp.c_Nat_OSuc @t551)) % 0.83/1.09 (define @t556 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t89 @t99)) % 0.83/1.09 (define @t557 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t556)) % 0.83/1.09 (define @t558 () (@list @t89 @t99 @t38)) % 0.83/1.09 (define @t559 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t158)) % 0.83/1.09 (define @t560 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t488 @t265)) % 0.83/1.09 (define @t561 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t488 @t266)) % 0.83/1.09 (define @t562 () (@list @t265 @t266 @t488)) % 0.83/1.09 (define @t563 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t158 @t273)) % 0.83/1.09 (define @t564 () (@list @t273 @t158 @t157)) % 0.83/1.09 (define @t565 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t273 @t158)) % 0.83/1.09 (define @t566 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t158 @t156)) % 0.83/1.09 (define @t567 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t156)) % 0.83/1.09 (define @t568 () (@var "V_l" $$unsorted)) % 0.83/1.09 (define @t569 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t158 @t568)) % 0.83/1.09 (define @t570 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t156 @t568)) % 0.83/1.09 (define @t571 () (@list @t568 @t156 @t158 @t157)) % 0.83/1.09 (define @t572 () (tptp.hAPP @t332 @t488)) % 0.83/1.09 (define @t573 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t265 @t488)) % 0.83/1.09 (define @t574 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t556)) % 0.83/1.09 (define @t575 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t232 @t273)) % 0.83/1.09 (define @t576 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t266 @t494)) % 0.83/1.09 (define @t577 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t156 @t568)) % 0.83/1.09 (define @t578 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t273 @t156)) % 0.83/1.09 (define @t579 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t578 @t232)) % 0.83/1.09 (define @t580 () (@list @t232 @t156 @t273)) % 0.83/1.09 (define @t581 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t108 @t107)) % 0.83/1.09 (define @t582 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t107 @t108)) % 0.83/1.09 (define @t583 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t108 @t492)) % 0.83/1.09 (define @t584 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t107 @t583)) % 0.83/1.09 (define @t585 () (@list @t492 @t108 @t107 @t41)) % 0.83/1.09 (define @t586 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t110 @t108)) % 0.83/1.09 (define @t587 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t107 @t110)) % 0.83/1.09 (define @t588 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t587 @t108)) % 0.83/1.09 (define @t589 () (= @t588 (tptp.c_Groups_Oplus__class_Oplus @t41 @t107 @t586))) % 0.83/1.09 (define @t590 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t110 @t492)) % 0.83/1.09 (define @t591 () (@list @t492 @t108 @t110 @t107 @t41)) % 0.83/1.09 (define @t592 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t89)) % 0.83/1.09 (define @t593 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t38 @t89)) % 0.83/1.09 (define @t594 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t593)) % 0.83/1.09 (define @t595 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t592 @t284)) % 0.83/1.09 (define @t596 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t50 @t179)) % 0.83/1.09 (define @t597 () (@list @t284 @t89 @t179 @t38 @t41)) % 0.83/1.09 (define @t598 () (tptp.c_Groups_Oplus__class_Oplus @t47 @t44 @t338)) % 0.83/1.09 (define @t599 () (tptp.class_Groups_Ocomm__monoid__add @t41)) % 0.83/1.09 (define @t600 () (= @t62 @t255)) % 0.83/1.09 (define @t601 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t60 @t255)) % 0.83/1.09 (define @t602 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t60 @t62)) % 0.83/1.09 (define @t603 () (tptp.class_Groups_Ocancel__semigroup__add @t41)) % 0.83/1.09 (define @t604 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t255 @t60)) % 0.83/1.09 (define @t605 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t62 @t60)) % 0.83/1.09 (define @t606 () (=> (= @t587 @t582) @t111)) % 0.83/1.09 (define @t607 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t338) @t38)) % 0.83/1.09 (define @t608 () (@list @t38 @t338 @t44 @t41)) % 0.83/1.09 (define @t609 () (@list @t156 @t232 @t273)) % 0.83/1.09 (define @t610 () (@list @t265 @t488 @t266)) % 0.83/1.09 (define @t611 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t587)) % 0.83/1.09 (define @t612 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t108 @t110)) % 0.83/1.09 (define @t613 () (tptp.c_Orderings_Oord__class_Oless @t41 @t581 @t612)) % 0.83/1.09 (define @t614 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t41)) % 0.83/1.09 (define @t615 () (@list @t110 @t107 @t108 @t41)) % 0.83/1.09 (define @t616 () (tptp.c_Orderings_Oord__class_Oless @t41 @t582 @t586)) % 0.83/1.09 (define @t617 () (@list @t110 @t108 @t107 @t41)) % 0.83/1.09 (define @t618 () (tptp.c_Orderings_Oord__class_Oless @t41 @t582 @t590)) % 0.83/1.09 (define @t619 () (tptp.c_Orderings_Oord__class_Oless @t41 @t108 @t492)) % 0.83/1.09 (define @t620 () (=> @t619 @t618)) % 0.83/1.09 (define @t621 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t41)) % 0.83/1.09 (define @t622 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t255 @t62)) % 0.83/1.09 (define @t623 () (@list @t62 @t60 @t255 @t41)) % 0.83/1.09 (define @t624 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t62 @t255)) % 0.83/1.09 (define @t625 () (@list @t62 @t255 @t60 @t41)) % 0.83/1.09 (define @t626 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t581 @t612)) % 0.83/1.09 (define @t627 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t582 @t586)) % 0.83/1.09 (define @t628 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t108 @t492)) % 0.83/1.09 (define @t629 () (tptp.class_Groups_Oordered__ab__semigroup__add @t41)) % 0.83/1.09 (define @t630 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t69 @t107) @t107)) % 0.83/1.09 (define @t631 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t107 @t69) @t107)) % 0.83/1.09 (define @t632 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t41)) % 0.83/1.09 (define @t633 () (tptp.class_Groups_Omonoid__add @t41)) % 0.83/1.09 (define @t634 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t60 @t60)) % 0.83/1.09 (define @t635 () (tptp.c_RealDef_Opositive @t89)) % 0.83/1.09 (define @t636 () (tptp.c_NthRoot_Oroot @t265 @t53)) % 0.83/1.09 (define @t637 () (tptp.c_NthRoot_Oroot @t265 @t32)) % 0.83/1.09 (define @t638 () (@list @t53 @t32 @t265)) % 0.83/1.09 (define @t639 () (tptp.c_NthRoot_Oroot @t273 @t546)) % 0.83/1.09 (define @t640 () (@list @t38 @t232 @t273)) % 0.83/1.09 (define @t641 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t110 @t69)) % 0.83/1.09 (define @t642 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t107 @t69)) % 0.83/1.09 (define @t643 () (tptp.class_Groups_Oordered__comm__monoid__add @t41)) % 0.83/1.09 (define @t644 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t110 @t582)) % 0.83/1.09 (define @t645 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t108)) % 0.83/1.09 (define @t646 () (= @t53 @t69)) % 0.83/1.09 (define @t647 () (and @t77 @t646)) % 0.83/1.09 (define @t648 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t32 @t53) @t69)) % 0.83/1.09 (define @t649 () (tptp.c_Orderings_Oord__class_Oless @t41 @t110 @t582)) % 0.83/1.09 (define @t650 () (=> @t138 @t649)) % 0.83/1.09 (define @t651 () (tptp.c_Orderings_Oord__class_Oless @t41 @t587 @t69)) % 0.83/1.09 (define @t652 () (tptp.c_Orderings_Oord__class_Oless @t41 @t110 @t69)) % 0.83/1.09 (define @t653 () (=> @t652 @t651)) % 0.83/1.09 (define @t654 () (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t587)) % 0.83/1.09 (define @t655 () (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t110)) % 0.83/1.09 (define @t656 () (=> @t655 @t654)) % 0.83/1.09 (define @t657 () (= (tptp.c_Orderings_Oord__class_Oless @t41 @t634 @t69) @t88)) % 0.83/1.09 (define @t658 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t107 @t66)) % 0.83/1.09 (define @t659 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t149 @t107) @t69)) % 0.83/1.09 (define @t660 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t541)) % 0.83/1.09 (define @t661 () (= @t265 @t438)) % 0.83/1.09 (define @t662 () (or (and @t462 @t301) (and @t445 @t661))) % 0.83/1.09 (define @t663 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t266)) % 0.83/1.09 (define @t664 () (@list @t273 @t157)) % 0.83/1.09 (define @t665 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t232 @t400)) % 0.83/1.09 (define @t666 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t32 @t53)) % 0.83/1.09 (define @t667 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t31)) % 0.83/1.09 (define @t668 () (tptp.c_NthRoot_Oroot @t232 @t89)) % 0.83/1.09 (define @t669 () (@list @t89 @t38 @t232)) % 0.83/1.09 (define @t670 () (= @t32 @t7)) % 0.83/1.09 (define @t671 () (@list @t32 @t265)) % 0.83/1.09 (define @t672 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t89)) % 0.83/1.09 (define @t673 () (=> @t672 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t546 @t668))) % 0.83/1.09 (define @t674 () (= @t32 @t31)) % 0.83/1.09 (define @t675 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t66 @t66)) % 0.83/1.09 (define @t676 () (@list @t53 @t265)) % 0.83/1.09 (define @t677 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t53)) % 0.83/1.09 (define @t678 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t31 @t38)) % 0.83/1.09 (define @t679 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t31 @t38)) % 0.83/1.09 (define @t680 () (@var "V_x_1" $$unsorted)) % 0.83/1.09 (define @t681 () (@var "V_n_1" $$unsorted)) % 0.83/1.09 (define @t682 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t89)) % 0.83/1.09 (define @t683 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t494)) % 0.83/1.09 (define @t684 () (@var "V_l_2" $$unsorted)) % 0.83/1.09 (define @t685 () (@list @t338 @t41)) % 0.83/1.09 (define @t686 () (tptp.c_Polynomial_Opos__poly @t41 @t338)) % 0.83/1.09 (define @t687 () (tptp.c_Polynomial_Odegree @t41 @t598)) % 0.83/1.09 (define @t688 () (@list @t338 @t232 @t44 @t41)) % 0.83/1.09 (define @t689 () (@list @t99 @t151)) % 0.83/1.09 (define @t690 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t468 @t232) @t273))) % 0.83/1.09 (define @t691 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t468 @t273) @t232))) % 0.83/1.09 (define @t692 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 0.83/1.09 (define @t693 () (tptp.c_Groups_Otimes__class_Otimes @t47)) % 0.83/1.09 (define @t694 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 0.83/1.09 (define @t695 () (tptp.hAPP @t694 @t506)) % 0.83/1.09 (define @t696 () (tptp.hBOOL (tptp.hAPP @t279 @t211))) % 0.83/1.09 (define @t697 () (not @t696)) % 0.83/1.09 (define @t698 () (@var "V_w_2" $$unsorted)) % 0.83/1.09 (define @t699 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 0.83/1.09 (define @t700 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t698 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t35 @t699))) % 0.83/1.09 (define @t701 () (@list @t35 @t698)) % 0.83/1.09 (define @t702 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t698 @t35)) % 0.83/1.09 (define @t703 () (@list @t35)) % 0.83/1.09 (define @t704 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t699 @t99)) % 0.83/1.09 (define @t705 () (@list @t99)) % 0.83/1.09 (define @t706 () (tptp.c_Groups_Otimes__class_Otimes @t41)) % 0.83/1.09 (define @t707 () (tptp.hAPP @t706 @t38)) % 0.83/1.09 (define @t708 () (tptp.hAPP @t707 @t89)) % 0.83/1.09 (define @t709 () (tptp.hAPP @t706 @t62)) % 0.83/1.09 (define @t710 () (tptp.hAPP @t709 @t255)) % 0.83/1.09 (define @t711 () (@var "V_d_2" $$unsorted)) % 0.83/1.09 (define @t712 () (tptp.hAPP @t706 @t60)) % 0.83/1.09 (define @t713 () (tptp.hAPP @t712 @t255)) % 0.83/1.09 (define @t714 () (tptp.hAPP @t706 @t110)) % 0.83/1.09 (define @t715 () (tptp.hAPP @t714 @t108)) % 0.83/1.09 (define @t716 () (tptp.hAPP @t706 @t107)) % 0.83/1.09 (define @t717 () (tptp.hAPP @t716 @t108)) % 0.83/1.09 (define @t718 () (tptp.hAPP @t706 @t587)) % 0.83/1.09 (define @t719 () (= (tptp.hAPP @t718 @t108) (tptp.c_Groups_Oplus__class_Oplus @t41 @t717 @t715))) % 0.83/1.09 (define @t720 () (tptp.hAPP @t716 @t273)) % 0.83/1.09 (define @t721 () (tptp.hAPP @t706 @t32)) % 0.83/1.09 (define @t722 () (tptp.hAPP @t706 @t698)) % 0.83/1.09 (define @t723 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t99)) % 0.83/1.09 (define @t724 () (@var "V_b_H" $$unsorted)) % 0.83/1.09 (define @t725 () (tptp.hAPP @t716 @t724)) % 0.83/1.09 (define @t726 () (tptp.hAPP @t716 @t110)) % 0.83/1.09 (define @t727 () (tptp.class_RealVector_Oreal__normed__algebra @t41)) % 0.83/1.09 (define @t728 () (@list @t724 @t110 @t107 @t41)) % 0.83/1.09 (define @t729 () (@var "V_xa" $$unsorted)) % 0.83/1.09 (define @t730 () (tptp.hAPP @t706 @t729)) % 0.83/1.09 (define @t731 () (tptp.hAPP @t730 @t89)) % 0.83/1.09 (define @t732 () (tptp.hAPP @t730 @t38)) % 0.83/1.09 (define @t733 () (@list @t89 @t38 @t729 @t41)) % 0.83/1.09 (define @t734 () (@var "V_a_H" $$unsorted)) % 0.83/1.09 (define @t735 () (tptp.hAPP (tptp.hAPP @t706 @t734) @t110)) % 0.83/1.09 (define @t736 () (@list @t110 @t734 @t107 @t41)) % 0.83/1.09 (define @t737 () (tptp.hAPP @t693 @t338)) % 0.83/1.09 (define @t738 () (tptp.hAPP @t693 @t44)) % 0.83/1.09 (define @t739 () (@var "V_ya" $$unsorted)) % 0.83/1.09 (define @t740 () (tptp.hAPP @t706 @t89)) % 0.83/1.09 (define @t741 () (tptp.hAPP @t740 @t739)) % 0.83/1.09 (define @t742 () (tptp.hAPP @t707 @t739)) % 0.83/1.09 (define @t743 () (@list @t739 @t89 @t38 @t41)) % 0.83/1.09 (define @t744 () (@var "V_z2" $$unsorted)) % 0.83/1.09 (define @t745 () (tptp.hAPP @t694 @t744)) % 0.83/1.09 (define @t746 () (@var "V_z1" $$unsorted)) % 0.83/1.09 (define @t747 () (tptp.hAPP @t694 @t746)) % 0.83/1.09 (define @t748 () (@list @t151 @t744 @t746)) % 0.83/1.09 (define @t749 () (@var "V_e" $$unsorted)) % 0.83/1.09 (define @t750 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t157 @t158)) % 0.83/1.09 (define @t751 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t157 @t158)) % 0.83/1.09 (define @t752 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t151 @t99)) % 0.83/1.09 (define @t753 () (@var "V_z_H" $$unsorted)) % 0.83/1.09 (define @t754 () (@var "V_w_H" $$unsorted)) % 0.83/1.09 (define @t755 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t151 @t99)) % 0.83/1.09 (define @t756 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t99 @t151)) % 0.83/1.09 (define @t757 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t157)) % 0.83/1.09 (define @t758 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t692 @t157)) % 0.83/1.09 (define @t759 () (= @t157 @t692)) % 0.83/1.09 (define @t760 () (tptp.hAPP @t738 @t338)) % 0.83/1.09 (define @t761 () (tptp.hAPP @t694 @t38)) % 0.83/1.09 (define @t762 () (tptp.hAPP @t761 @t89)) % 0.83/1.09 (define @t763 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t315 @t340)) % 0.83/1.09 (define @t764 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t726)) % 0.83/1.09 (define @t765 () (tptp.hAPP @t706 @t149)) % 0.83/1.09 (define @t766 () (tptp.hAPP @t765 @t110)) % 0.83/1.09 (define @t767 () (tptp.hAPP @t716 @t169)) % 0.83/1.09 (define @t768 () (tptp.class_Rings_Oring @t41)) % 0.83/1.09 (define @t769 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t263 @t726) @t108))) % 0.83/1.09 (define @t770 () (tptp.class_Rings_Odvd @t41)) % 0.83/1.09 (define @t771 () (tptp.hAPP @t714 @t492)) % 0.83/1.09 (define @t772 () (tptp.hBOOL (tptp.hAPP @t264 @t715))) % 0.83/1.09 (define @t773 () (tptp.hAPP @t714 @t107)) % 0.83/1.09 (define @t774 () (tptp.hAPP @t325 @t338)) % 0.83/1.09 (define @t775 () (tptp.hAPP @t706 @t774)) % 0.83/1.09 (define @t776 () (tptp.hAPP @t706 @t354)) % 0.83/1.09 (define @t777 () (tptp.class_Groups_Ocomm__monoid__mult @t41)) % 0.83/1.09 (define @t778 () (tptp.hAPP @t716 @t354)) % 0.83/1.09 (define @t779 () (tptp.hAPP @t776 @t107)) % 0.83/1.09 (define @t780 () (not (= @t255 @t7))) % 0.83/1.09 (define @t781 () (@list @t62 @t60 @t255)) % 0.83/1.09 (define @t782 () (tptp.hAPP @t694 @t255)) % 0.83/1.09 (define @t783 () (@var "V_ry" $$unsorted)) % 0.83/1.09 (define @t784 () (@var "V_lx" $$unsorted)) % 0.83/1.09 (define @t785 () (tptp.hAPP @t706 @t784)) % 0.83/1.09 (define @t786 () (@var "V_rx" $$unsorted)) % 0.83/1.09 (define @t787 () (tptp.hAPP @t706 @t786)) % 0.83/1.09 (define @t788 () (tptp.hAPP @t787 @t783)) % 0.83/1.09 (define @t789 () (tptp.hAPP @t785 @t788)) % 0.83/1.09 (define @t790 () (@list @t783 @t786 @t784 @t41)) % 0.83/1.09 (define @t791 () (tptp.hAPP @t706 (tptp.hAPP @t785 @t786))) % 0.83/1.09 (define @t792 () (@var "V_ly" $$unsorted)) % 0.83/1.09 (define @t793 () (tptp.hAPP @t706 @t792)) % 0.83/1.09 (define @t794 () (tptp.hAPP @t706 (tptp.hAPP @t785 @t792))) % 0.83/1.09 (define @t795 () (tptp.hAPP @t794 @t786)) % 0.83/1.09 (define @t796 () (@list @t786 @t792 @t784 @t41)) % 0.83/1.09 (define @t797 () (tptp.hAPP @t794 @t788)) % 0.83/1.09 (define @t798 () (@list @t783 @t786 @t792 @t784 @t41)) % 0.83/1.09 (define @t799 () (tptp.hAPP @t694 @t99)) % 0.83/1.09 (define @t800 () (@var "V_z3" $$unsorted)) % 0.83/1.09 (define @t801 () (@list @t800 @t744 @t746)) % 0.83/1.09 (define @t802 () (tptp.hAPP (tptp.hAPP @t694 @t50) @t592)) % 0.83/1.09 (define @t803 () (tptp.c_RealVector_Onorm__class_Onorm @t41 @t708)) % 0.83/1.09 (define @t804 () (tptp.hAPP @t716 @t107)) % 0.83/1.09 (define @t805 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t41)) % 0.83/1.09 (define @t806 () (tptp.hAPP @t707 @t38)) % 0.83/1.09 (define @t807 () (= (tptp.hAPP @t716 @t66) @t107)) % 0.83/1.09 (define @t808 () (= (tptp.hAPP (tptp.hAPP @t706 @t66) @t107) @t107)) % 0.83/1.09 (define @t809 () (tptp.hAPP @t706 @t69)) % 0.83/1.09 (define @t810 () (= (tptp.hAPP @t809 @t107) @t69)) % 0.83/1.09 (define @t811 () (= (tptp.hAPP @t716 @t69) @t69)) % 0.83/1.09 (define @t812 () (tptp.hAPP @t712 @t62)) % 0.83/1.09 (define @t813 () (= @t726 @t69)) % 0.83/1.09 (define @t814 () (= @t110 @t69)) % 0.83/1.09 (define @t815 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t726 @t69)) % 0.83/1.09 (define @t816 () (tptp.class_Rings_Oordered__cancel__semiring @t41)) % 0.83/1.09 (define @t817 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t726)) % 0.83/1.09 (define @t818 () (tptp.class_Rings_Oordered__ring @t41)) % 0.83/1.09 (define @t819 () (=> @t645 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t717 @t771))) % 0.83/1.09 (define @t820 () (tptp.class_Rings_Oordered__semiring @t41)) % 0.83/1.09 (define @t821 () (tptp.hAPP @t706 @t108)) % 0.83/1.09 (define @t822 () (tptp.hAPP @t821 @t110)) % 0.83/1.09 (define @t823 () (tptp.hAPP @t821 @t107)) % 0.83/1.09 (define @t824 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t823 @t822)) % 0.83/1.09 (define @t825 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t108 @t69)) % 0.83/1.09 (define @t826 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t717 @t715)) % 0.83/1.09 (define @t827 () (=> @t115 (=> @t645 @t824))) % 0.83/1.09 (define @t828 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t62)) % 0.83/1.09 (define @t829 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t62 @t69)) % 0.83/1.09 (define @t830 () (tptp.class_Rings_Olinordered__ring__strict @t41)) % 0.83/1.09 (define @t831 () (tptp.class_Rings_Olinordered__ring @t41)) % 0.83/1.09 (define @t832 () (tptp.c_Orderings_Oord__class_Oless @t41 @t823 @t822)) % 0.83/1.09 (define @t833 () (tptp.c_Orderings_Oord__class_Oless @t41 @t108 @t69)) % 0.83/1.09 (define @t834 () (tptp.c_Orderings_Oord__class_Oless @t41 @t717 @t715)) % 0.83/1.09 (define @t835 () (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t108)) % 0.83/1.09 (define @t836 () (=> @t137 (=> @t835 @t832))) % 0.83/1.09 (define @t837 () (tptp.class_Rings_Olinordered__semiring__strict @t41)) % 0.83/1.09 (define @t838 () (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t726)) % 0.83/1.09 (define @t839 () (tptp.c_Orderings_Oord__class_Oless @t41 @t726 @t69)) % 0.83/1.09 (define @t840 () (tptp.c_Orderings_Oord__class_Oless @t41 @t62 @t60)) % 0.83/1.09 (define @t841 () (tptp.hAPP @t706 @t255)) % 0.83/1.09 (define @t842 () (tptp.hAPP @t841 @t62)) % 0.83/1.09 (define @t843 () (tptp.hAPP @t841 @t60)) % 0.83/1.09 (define @t844 () (tptp.c_Orderings_Oord__class_Oless @t41 @t843 @t842)) % 0.83/1.09 (define @t845 () (tptp.c_Orderings_Oord__class_Oless @t41 @t255 @t69)) % 0.83/1.09 (define @t846 () (=> @t198 @t655)) % 0.83/1.09 (define @t847 () (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t255)) % 0.83/1.09 (define @t848 () (or (and @t847 @t172) (and @t845 @t840))) % 0.83/1.09 (define @t849 () (tptp.hAPP @t706 @t179)) % 0.83/1.09 (define @t850 () (tptp.hAPP @t721 @t32)) % 0.83/1.09 (define @t851 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t850 (tptp.hAPP (tptp.hAPP @t706 @t53) @t53))) % 0.83/1.09 (define @t852 () (tptp.hAPP @t706 @t273)) % 0.83/1.09 (define @t853 () (or (= @t255 @t69) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t263 @t60) @t62)))) % 0.83/1.09 (define @t854 () (tptp.hAPP (tptp.hAPP @t706 @t658) @t273)) % 0.83/1.09 (define @t855 () (tptp.hAPP @t325 (tptp.c_Nat_OSuc @t338))) % 0.83/1.09 (define @t856 () (@list @t338 @t38 @t41)) % 0.83/1.09 (define @t857 () (tptp.hAPP @t707 @t774)) % 0.83/1.09 (define @t858 () (tptp.hAPP @t325 @t44)) % 0.83/1.09 (define @t859 () (@list @t338 @t44 @t38 @t41)) % 0.83/1.09 (define @t860 () (tptp.hAPP @t694 @t32)) % 0.83/1.09 (define @t861 () (tptp.hAPP @t860 @t32)) % 0.83/1.09 (define @t862 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t89)) % 0.83/1.09 (define @t863 () (tptp.hAPP @t694 @t53)) % 0.83/1.09 (define @t864 () (tptp.hAPP @t863 @t35)) % 0.83/1.09 (define @t865 () (tptp.hAPP @t860 @t35)) % 0.83/1.09 (define @t866 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t35)) % 0.83/1.09 (define @t867 () (@list @t53 @t32 @t35)) % 0.83/1.09 (define @t868 () (@var "V_u" $$unsorted)) % 0.83/1.09 (define @t869 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t843 @t842)) % 0.83/1.09 (define @t870 () (tptp.c_Orderings_Oord__class_Oless @t41 @t717 @t771)) % 0.83/1.09 (define @t871 () (=> @t645 @t870)) % 0.83/1.09 (define @t872 () (=> @t645 @t137)) % 0.83/1.09 (define @t873 () (=> @t834 @t872)) % 0.83/1.09 (define @t874 () (tptp.class_Rings_Olinordered__semiring @t41)) % 0.83/1.09 (define @t875 () (=> @t832 @t872)) % 0.83/1.09 (define @t876 () (=> @t835 @t115)) % 0.83/1.09 (define @t877 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t806 (tptp.hAPP @t740 @t89))) % 0.83/1.09 (define @t878 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t89 @t66)) % 0.83/1.09 (define @t879 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t89)) % 0.83/1.09 (define @t880 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t38)) % 0.83/1.09 (define @t881 () (tptp.class_Rings_Oring__1 @t41)) % 0.83/1.09 (define @t882 () (tptp.hAPP @t694 @t35)) % 0.83/1.09 (define @t883 () (tptp.c_Polynomial_Odegree @t41 @t760)) % 0.83/1.09 (define @t884 () (= (tptp.c_NthRoot_Oroot @t232 @t762) (tptp.hAPP (tptp.hAPP @t694 @t546) @t668))) % 0.83/1.09 (define @t885 () (tptp.hAPP @t695 @t107)) % 0.83/1.09 (define @t886 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 0.83/1.09 (define @t887 () (@var "V_v" $$unsorted)) % 0.83/1.09 (define @t888 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP (tptp.hAPP @t706 @t868) @t38) (tptp.hAPP (tptp.hAPP @t706 @t887) @t89))) % 0.83/1.09 (define @t889 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t868 @t887) @t66)) % 0.83/1.09 (define @t890 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t887)) % 0.83/1.09 (define @t891 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t868)) % 0.83/1.09 (define @t892 () (@list @t887 @t868 @t89 @t107 @t38 @t41)) % 0.83/1.09 (define @t893 () (tptp.hBOOL (tptp.hAPP @t279 @t3))) % 0.83/1.09 (define @t894 () (tptp.hAPP @t469 @t38)) % 0.83/1.09 (define @t895 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 @t38)) % 0.83/1.09 (define @t896 () (tptp.c_Polynomial_Opcompose @t41 @t44 @t338)) % 0.83/1.09 (define @t897 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t99 @t151)) % 0.83/1.09 (define @t898 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 0.83/1.09 (define @t899 () (tptp.hAPP @t898 @t744)) % 0.83/1.09 (define @t900 () (tptp.hAPP @t898 @t746)) % 0.83/1.09 (define @t901 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t746 @t744)) % 0.83/1.09 (define @t902 () (tptp.hAPP @t898 @t151)) % 0.83/1.09 (define @t903 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 0.83/1.09 (define @t904 () (tptp.hAPP @t903 @t156)) % 0.83/1.09 (define @t905 () (tptp.hAPP @t904 @t232)) % 0.83/1.09 (define @t906 () (tptp.hAPP @t904 @t273)) % 0.83/1.09 (define @t907 () (@list @t232 @t273 @t156)) % 0.83/1.09 (define @t908 () (tptp.hAPP @t903 @t232)) % 0.83/1.09 (define @t909 () (tptp.hAPP @t908 @t156)) % 0.83/1.09 (define @t910 () (tptp.hAPP @t903 @t273)) % 0.83/1.09 (define @t911 () (tptp.hAPP @t910 @t156)) % 0.83/1.09 (define @t912 () (@var "V_t_2" $$unsorted)) % 0.83/1.09 (define @t913 () (tptp.hAPP @t468 @t488)) % 0.83/1.09 (define @t914 () (tptp.hAPP @t898 @t488)) % 0.83/1.09 (define @t915 () (tptp.hAPP @t914 @t266)) % 0.83/1.09 (define @t916 () (tptp.hAPP @t894 @t89)) % 0.83/1.09 (define @t917 () (tptp.hAPP @t898 @t99)) % 0.83/1.09 (define @t918 () (tptp.hAPP @t917 @t151)) % 0.83/1.09 (define @t919 () (tptp.hAPP @t903 @t315)) % 0.83/1.09 (define @t920 () (= @t488 @t211)) % 0.83/1.09 (define @t921 () (or @t267 @t920)) % 0.83/1.09 (define @t922 () (tptp.hAPP @t903 @t265)) % 0.83/1.09 (define @t923 () (tptp.hAPP @t922 @t488)) % 0.83/1.09 (define @t924 () (tptp.hAPP @t903 @t266)) % 0.83/1.09 (define @t925 () (tptp.hAPP @t924 @t488)) % 0.83/1.09 (define @t926 () (tptp.hAPP @t903 @t488)) % 0.83/1.09 (define @t927 () (tptp.hAPP @t926 @t265)) % 0.83/1.09 (define @t928 () (tptp.hAPP @t926 @t266)) % 0.83/1.09 (define @t929 () (= @t928 @t927)) % 0.83/1.09 (define @t930 () (tptp.hAPP @t924 @t265)) % 0.83/1.09 (define @t931 () (tptp.hAPP @t910 @t232)) % 0.83/1.09 (define @t932 () (tptp.hAPP @t903 (tptp.c_Nat_OSuc @t488))) % 0.83/1.09 (define @t933 () (tptp.hAPP @t932 @t265)) % 0.83/1.09 (define @t934 () (tptp.hAPP @t932 @t266)) % 0.83/1.09 (define @t935 () (tptp.hAPP @t910 @t273)) % 0.83/1.09 (define @t936 () (tptp.hAPP @t903 @t158)) % 0.83/1.09 (define @t937 () (tptp.hAPP @t936 @t156)) % 0.83/1.09 (define @t938 () (tptp.hAPP @t903 @t157)) % 0.83/1.09 (define @t939 () (tptp.hAPP @t938 @t156)) % 0.83/1.09 (define @t940 () (tptp.hAPP @t904 @t158)) % 0.83/1.09 (define @t941 () (tptp.hAPP @t904 @t157)) % 0.83/1.09 (define @t942 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 @t89)) % 0.83/1.09 (define @t943 () (= @t265 @t400)) % 0.83/1.09 (define @t944 () (and @t401 @t943)) % 0.83/1.09 (define @t945 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t156)) % 0.83/1.09 (define @t946 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t488)) % 0.83/1.09 (define @t947 () (and @t946 @t270)) % 0.83/1.09 (define @t948 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t928 @t927)) % 0.83/1.09 (define @t949 () (tptp.hAPP @t898 @t156)) % 0.83/1.09 (define @t950 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t273)) % 0.83/1.09 (define @t951 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t232)) % 0.83/1.09 (define @t952 () (tptp.hAPP @t908 @t273)) % 0.83/1.09 (define @t953 () (=> @t946 @t269)) % 0.83/1.09 (define @t954 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t928 @t927)) % 0.83/1.09 (define @t955 () (= (tptp.c_NthRoot_Oroot @t931 @t38) @t639)) % 0.83/1.09 (define @t956 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t107 @t110)) % 0.83/1.09 (define @t957 () (@var "V_r2" $$unsorted)) % 0.83/1.09 (define @t958 () (@var "V_r1" $$unsorted)) % 0.83/1.09 (define @t959 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 0.83/1.09 (define @t960 () (tptp.hAPP @t468 @t711)) % 0.83/1.09 (define @t961 () (tptp.hBOOL (tptp.hAPP @t960 @t912))) % 0.83/1.09 (define @t962 () (@list @t912 @t711)) % 0.83/1.09 (define @t963 () (= @t107 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t179 (tptp.hAPP (tptp.hAPP @t898 @t107) @t338)))) % 0.83/1.09 (define @t964 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t692 @t107)) % 0.83/1.09 (define @t965 () (@list @t338 @t179 @t107)) % 0.83/1.09 (define @t966 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 @t179)) % 0.83/1.09 (define @t967 () (@var "V_q_H" $$unsorted)) % 0.83/1.09 (define @t968 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t967 @t338)) % 0.83/1.09 (define @t969 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t724 @t110)) % 0.83/1.09 (define @t970 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t692 @t724)) % 0.83/1.09 (define @t971 () (@var "V_r_H" $$unsorted)) % 0.83/1.09 (define @t972 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 @t971)) % 0.83/1.09 (define @t973 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t179 @t110)) % 0.83/1.09 (define @t974 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t898 @t724) @t967) @t971)) % 0.83/1.09 (define @t975 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t974 @t692)) % 0.83/1.09 (define @t976 () (tptp.hAPP @t898 @t110)) % 0.83/1.09 (define @t977 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t976 @t338) @t179)) % 0.83/1.09 (define @t978 () (= @t977 @t974)) % 0.83/1.09 (define @t979 () (@list @t971 @t967 @t724 @t179 @t338 @t110)) % 0.83/1.09 (define @t980 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t338 @t967)) % 0.83/1.09 (define @t981 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t976 @t967) @t971) @t977)) % 0.83/1.09 (define @t982 () (@list @t179 @t338 @t971 @t967 @t110)) % 0.83/1.09 (define @t983 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t971 @t724)) % 0.83/1.09 (define @t984 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 @t974)) % 0.83/1.09 (define @t985 () (@list @t971 @t967 @t724)) % 0.83/1.09 (define @t986 () (tptp.hBOOL (tptp.hAPP @t402 @t265))) % 0.83/1.09 (define @t987 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t928) @t927))) % 0.83/1.09 (define @t988 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 0.83/1.09 (define @t989 () (@var "V_one_2" $$unsorted)) % 0.83/1.09 (define @t990 () (@var "V_times_2" $$unsorted)) % 0.83/1.09 (define @t991 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t41 @t989 @t990) @t60)) % 0.83/1.09 (define @t992 () (tptp.hAPP (tptp.hAPP @t694 (tptp.c_RealVector_Onorm__class_Onorm @t41 @t3)) @t221)) % 0.83/1.09 (define @t993 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t41 (tptp.hAPP (tptp.hAPP @t706 @t3) @t89)) @t992))) % 0.83/1.09 (define @t994 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t41 (tptp.hAPP @t707 @t3)) @t992))) % 0.83/1.09 (define @t995 () (@var "B_b" $$unsorted)) % 0.83/1.09 (define @t996 () (@var "B_a" $$unsorted)) % 0.83/1.09 (define @t997 () (forall (@list @t996 @t995) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t41 (tptp.hAPP (tptp.hAPP @t706 @t996) @t995)) (tptp.hAPP (tptp.hAPP @t694 (tptp.hAPP (tptp.hAPP @t694 (tptp.c_RealVector_Onorm__class_Onorm @t41 @t996)) (tptp.c_RealVector_Onorm__class_Onorm @t41 @t995))) @t221)))) % 0.83/1.09 (define @t998 () (@var "V_ra_2" $$unsorted)) % 0.83/1.09 (define @t999 () (= @t998 @t72)) % 0.83/1.09 (define @t1000 () (= @t161 @t72)) % 0.83/1.09 (define @t1001 () (@var "V_q2" $$unsorted)) % 0.83/1.09 (define @t1002 () (@var "V_q1" $$unsorted)) % 0.83/1.09 (define @t1003 () (= @t1002 @t1001)) % 0.83/1.09 (define @t1004 () (tptp.c_Polynomial_Opdivmod__rel @t41 @t38 @t89 @t1001 @t957)) % 0.83/1.09 (define @t1005 () (tptp.c_Polynomial_Opdivmod__rel @t41 @t38 @t89 @t1002 @t958)) % 0.83/1.09 (define @t1006 () (@list @t957 @t1001 @t958 @t1002 @t89 @t38 @t41)) % 0.83/1.09 (define @t1007 () (= @t958 @t957)) % 0.83/1.09 (define @t1008 () (tptp.hAPP @t693 @t89)) % 0.83/1.09 (define @t1009 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t221)) % 0.83/1.09 (define @t1010 () (tptp.c_Complex_Ocis @t885)) % 0.83/1.09 (define @t1011 () (tptp.c_Complex_Ocis @t107)) % 0.83/1.09 (define @t1012 () (tptp.hAPP @t959 @t1011)) % 0.83/1.09 (define @t1013 () (tptp.hAPP @t694 @t515)) % 0.83/1.09 (define @t1014 () (tptp.c_Transcendental_Oln @t38)) % 0.83/1.09 (define @t1015 () (tptp.c_Transcendental_Oln @t53)) % 0.83/1.09 (define @t1016 () (tptp.c_Transcendental_Oln @t32)) % 0.83/1.09 (define @t1017 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t32)) % 0.83/1.09 (define @t1018 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t1014)) % 0.83/1.09 (define @t1019 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t1014)) % 0.83/1.09 (define @t1020 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t232 @t400)) % 0.83/1.09 (define @t1021 () (tptp.hAPP @t324 @t273)) % 0.83/1.09 (define @t1022 () (tptp.hAPP @t1021 @t232)) % 0.83/1.09 (define @t1023 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t38 @t89)) % 0.83/1.09 (define @t1024 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t273 @t232)) % 0.83/1.09 (define @t1025 () (@var "V_e_2" $$unsorted)) % 0.83/1.09 (define @t1026 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP (tptp.hAPP @t706 (tptp.c_Groups_Ominus__class_Ominus @t41 @t60 @t62)) @t1025) @t255)) % 0.83/1.09 (define @t1027 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t709 @t1025) @t711)) % 0.83/1.09 (define @t1028 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t712 @t1025) @t255)) % 0.83/1.09 (define @t1029 () (= @t1028 @t1027)) % 0.83/1.09 (define @t1030 () (@list @t711 @t62 @t255 @t1025 @t60 @t41)) % 0.83/1.09 (define @t1031 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP (tptp.hAPP @t706 (tptp.c_Groups_Ominus__class_Ominus @t41 @t62 @t60)) @t1025) @t711)) % 0.83/1.09 (define @t1032 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t89 @t110)) % 0.83/1.09 (define @t1033 () (tptp.hAPP @t706 (tptp.c_Groups_Ominus__class_Ominus @t41 @t38 @t107))) % 0.83/1.09 (define @t1034 () (tptp.hAPP @t1033 @t110)) % 0.83/1.09 (define @t1035 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t708 @t726)) % 0.83/1.09 (define @t1036 () (@list @t110 @t107 @t89 @t38 @t41)) % 0.83/1.09 (define @t1037 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t1028 @t1027)) % 0.83/1.09 (define @t1038 () (tptp.c_Orderings_Oord__class_Oless @t41 @t1028 @t1027)) % 0.83/1.09 (define @t1039 () (@var "V_D_2" $$unsorted)) % 0.83/1.09 (define @t1040 () (tptp.hAPP @t263 @t711)) % 0.83/1.09 (define @t1041 () (@var "B_d" $$unsorted)) % 0.83/1.09 (define @t1042 () (tptp.hBOOL (tptp.hAPP @t279 @t1041))) % 0.83/1.09 (define @t1043 () (= @t60 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t62 @t1041))) % 0.83/1.09 (define @t1044 () (@list @t1041)) % 0.83/1.09 (define @t1045 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t62)) % 0.83/1.09 (define @t1046 () (tptp.hBOOL (tptp.hAPP @t279 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t60 @t62)))) % 0.83/1.09 (define @t1047 () (@list @t62 @t60 @t279)) % 0.83/1.09 (define @t1048 () (tptp.c_Nat_OSuc @t158)) % 0.83/1.09 (define @t1049 () (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t158 @t156))) % 0.83/1.09 (define @t1050 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t156 @t158)) % 0.83/1.09 (define @t1051 () (@list @t273 @t158 @t156)) % 0.83/1.09 (define @t1052 () (@var "T_1" $$unsorted)) % 0.83/1.09 (define @t1053 () (tptp.tc_Polynomial_Opoly @t1052)) % 0.83/1.09 (define @t1054 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1052)) % 0.83/1.09 (define @t1055 () (@list @t1052)) % 0.83/1.09 (define @t1056 () (@var "T_2" $$unsorted)) % 0.83/1.09 (define @t1057 () (tptp.tc_fun @t1056 @t1052)) % 0.83/1.09 (define @t1058 () (@list @t1056 @t1052)) % 0.83/1.09 (define @t1059 () (tptp.class_Rings_Oidom @t1052)) % 0.83/1.09 (define @t1060 () (tptp.class_Rings_Olinordered__idom @t1052)) % 0.83/1.09 (define @t1061 () (tptp.class_Rings_Ocomm__semiring__0 @t1052)) % 0.83/1.09 (define @t1062 () (tptp.class_Rings_Ocomm__semiring__1 @t1052)) % 0.83/1.09 (define @t1063 () (tptp.class_Groups_Ocomm__monoid__add @t1052)) % 0.83/1.09 (define @t1064 () (tptp.class_Groups_Oab__group__add @t1052)) % 0.83/1.09 (define @t1065 () (tptp.class_Rings_Ocomm__ring__1 @t1052)) % 0.83/1.09 (define @t1066 () (tptp.class_Rings_Ocomm__ring @t1052)) % 0.83/1.09 (define @t1067 () (tptp.hBOOL (tptp.c_fequal @t32 @t53))) % 0.83/1.09 (define @t1068 () (=> @t29 tptp.v_thesis____)) % 0.83/1.09 (define @t1069 () (@var "BOUND_VARIABLE_13796" $$unsorted)) % 0.83/1.09 (define @t1070 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t15 @t1069))) % 0.83/1.09 (define @t1071 () (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1069) tptp.v_r))) % 0.83/1.09 (define @t1072 () (not @t12)) % 0.83/1.09 (define @t1073 () (@list @t3 @t1069)) % 0.83/1.09 (define @t1074 () (not (forall @t1073 (or @t1072 @t1071 (not (= @t13 @t1070)))))) % 0.83/1.09 (define @t1075 () (forall @t26 (= @t11 @t1074))) % 0.83/1.09 (define @t1076 () (forall @t28 (not @t1075))) % 0.83/1.09 (define @t1077 () (not @t1076)) % 0.83/1.09 (define @t1078 () (not (= @t1070 @t13))) % 0.83/1.09 (define @t1079 () (or @t1072 @t1071 @t1078)) % 0.83/1.09 (define @t1080 () (or @t1071 @t1078)) % 0.83/1.09 (define @t1081 () (or @t1080 @t1072)) % 0.83/1.09 (define @t1082 () (forall @t1073 @t1081)) % 0.83/1.09 (define @t1083 () (@list @t1069)) % 0.83/1.09 (define @t1084 () (forall @t1083 @t1081)) % 0.83/1.09 (define @t1085 () (forall @t1083 @t1080)) % 0.83/1.09 (define @t1086 () (or @t1085 @t1072)) % 0.83/1.09 (define @t1087 () (forall @t21 (or (not @t19) (not @t17)))) % 0.83/1.09 (define @t1088 () (not @t1087)) % 0.83/1.09 (define @t1089 () (and @t1088 @t12)) % 0.83/1.09 (define @t1090 () (forall @t6 (not @t1089))) % 0.83/1.09 (define @t1091 () (not @t1090)) % 0.83/1.09 (define @t1092 () (forall @t21 (not @t20))) % 0.83/1.09 (define @t1093 () (not @t1092)) % 0.83/1.09 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 0.83/1.09 (assume @p2 @t8) % 0.83/1.09 (assume @p3 @t29) % 0.83/1.09 (assume @p4 (exists @t21 (forall @t6 (=> (exists (@list @t30) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t30) tptp.v_r) (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t15 @t30)) @t13))) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t3 @t14))))) % 0.83/1.09 (assume @p5 (forall (@list @t32 @t35) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t35) tptp.v_r) (=> (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t15 @t35)) @t34) @t33)))) % 0.83/1.09 (assume @p6 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t36) tptp.v_r) (= @t37 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t37))))) % 0.83/1.09 (assume @p7 (forall @t40 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t39) @t39))) % 0.83/1.09 (assume @p8 (exists (@list @t3 @t14) @t20)) % 0.83/1.09 (assume @p9 (forall @t43 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t38 @t38)))) % 0.83/1.09 (assume @p10 (forall (@list @t38 @t44 @t41) (=> @t49 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t48) @t38) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t46))))) % 0.83/1.09 (assume @p11 (forall @t43 (=> @t52 (= (tptp.c_RealVector_Onorm__class_Onorm @t41 @t51) @t50)))) % 0.83/1.09 (assume @p12 (forall @t58 (= @t57 (and @t56 @t55)))) % 0.83/1.09 (assume @p13 (forall @t58 (= @t56 (or @t57 @t54)))) % 0.83/1.09 (assume @p14 (=> (not @t8) (exists @t21 (forall (@list @t59) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t59) tptp.v_r) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t15 @t59)))))))) % 0.83/1.09 (assume @p15 (forall @t65 (=> @t64 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t60 @t63) (tptp.c_Orderings_Oord__class_Oless @t41 @t62 @t61))))) % 0.83/1.09 (assume @p16 (not (= @t7 @t31))) % 0.83/1.09 (assume @p17 (forall @t68 (=> @t67 (= (tptp.c_RealVector_Onorm__class_Onorm @t41 @t66) @t31)))) % 0.83/1.09 (assume @p18 (forall @t68 (=> @t52 (= (tptp.c_RealVector_Onorm__class_Onorm @t41 @t69) @t7)))) % 0.83/1.09 (assume @p19 (forall @t43 (=> @t71 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t70) @t38) @t66)))) % 0.83/1.09 (assume @p20 (forall @t43 (=> @t74 (= (tptp.hAPP @t73 @t38) @t69)))) % 0.83/1.09 (assume @p21 (forall @t76 (=> (tptp.class_Groups_Oone @t41) (= (= @t66 @t32) @t75)))) % 0.83/1.09 (assume @p22 (forall @t76 (=> @t78 (= (= @t69 @t32) @t77)))) % 0.83/1.09 (assume @p23 (forall @t76 (=> @t52 (= (= @t79 @t7) @t77)))) % 0.83/1.09 (assume @p24 (forall @t82 (=> @t81 (= (= @t61 @t60) @t80)))) % 0.83/1.09 (assume @p25 (forall @t82 (=> @t83 (= (= @t61 @t69) @t80)))) % 0.83/1.09 (assume @p26 (forall @t82 (=> @t81 (= (= @t60 @t61) @t80)))) % 0.83/1.09 (assume @p27 (forall @t82 (=> @t83 (= (= @t69 @t61) (= @t69 @t60))))) % 0.83/1.09 (assume @p28 (forall @t68 (=> @t83 (= (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t69) @t69)))) % 0.83/1.09 (assume @p29 (forall @t76 (=> @t52 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t79 @t7) @t77)))) % 0.83/1.09 (assume @p30 (forall @t76 (=> @t52 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t79) @t84)))) % 0.83/1.09 (assume @p31 (forall @t82 (=> @t81 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t61 @t60) @t85)))) % 0.83/1.09 (assume @p32 (forall @t82 (=> @t64 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t61 @t69) @t85)))) % 0.83/1.09 (assume @p33 (forall @t82 (=> @t81 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t60 @t61) @t86)))) % 0.83/1.09 (assume @p34 (forall @t82 (=> @t64 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t61) @t86)))) % 0.83/1.09 (assume @p35 (forall @t82 (=> @t81 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t61 @t60) @t87)))) % 0.83/1.09 (assume @p36 (forall @t82 (=> @t64 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t61 @t69) @t87)))) % 0.83/1.09 (assume @p37 (forall @t82 (=> @t64 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t61) @t88)))) % 0.83/1.09 (assume @p38 (forall @t43 (=> @t52 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t50)))) % 0.83/1.09 (assume @p39 (forall @t43 (=> @t52 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t50 @t7))))) % 0.83/1.09 (assume @p40 (forall @t93 (=> @t92 (=> (not @t91) @t90)))) % 0.83/1.09 (assume @p41 (forall (@list @t32 @t1 @t2 @t41 @t95) (=> @t98 (=> @t97 (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t94 (tptp.hAPP @t1 @t32)))))) % 0.83/1.09 (assume @p42 (forall @t102 (=> @t101 (=> @t90 (=> @t100 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t99 @t38)))))) % 0.83/1.09 (assume @p43 (forall @t104 (=> @t101 (=> @t90 (=> @t91 @t103))))) % 0.83/1.09 (assume @p44 (forall @t106 (=> @t42 (=> @t91 (=> @t105 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t38 @t99)))))) % 0.83/1.09 (assume @p45 (forall @t93 (=> @t101 (=> @t91 (=> @t90 @t103))))) % 0.83/1.09 (assume @p46 (forall @t113 (=> @t101 (=> @t112 (=> @t111 @t109))))) % 0.83/1.09 (assume @p47 (forall @t117 (=> @t116 (=> @t115 (=> @t111 @t114))))) % 0.83/1.09 (assume @p48 (forall @t117 (=> @t101 (=> @t118 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t108 @t110) @t109))))) % 0.83/1.09 (assume @p49 (forall @t117 (=> @t116 (=> @t118 (=> @t119 @t114))))) % 0.83/1.09 (assume @p50 (forall @t123 (=> @t101 (=> @t122 @t121)))) % 0.83/1.09 (assume @p51 (forall @t93 (=> @t42 (=> @t103 @t91)))) % 0.83/1.09 (assume @p52 (forall @t124 (=> @t101 (= @t54 (and @t120 @t122))))) % 0.83/1.09 (assume @p53 (forall @t93 (=> @t92 (or @t91 @t90)))) % 0.83/1.09 (assume @p54 (forall @t125 (=> @t98 (= @t97 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t95 @t5 @t4)))))) % 0.83/1.09 (assume @p55 (forall @t93 (=> @t92 (=> @t129 (=> @t127 @t126))))) % 0.83/1.09 (assume @p56 (forall @t93 (=> @t42 (=> @t128 (not @t126))))) % 0.83/1.09 (assume @p57 (forall @t102 (=> @t101 (=> @t126 @t131)))) % 0.83/1.09 (assume @p58 (forall @t106 (=> @t42 (=> @t128 @t133)))) % 0.83/1.09 (assume @p59 (forall @t113 (=> @t101 (=> @t135 (=> @t111 @t134))))) % 0.83/1.09 (assume @p60 (forall @t117 (=> @t116 (=> @t137 (=> @t111 @t136))))) % 0.83/1.09 (assume @p61 (forall @t117 (=> @t101 (=> @t118 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t108 @t110) @t134))))) % 0.83/1.09 (assume @p62 (forall @t117 (=> @t116 (=> @t118 (=> @t138 @t136))))) % 0.83/1.09 (assume @p63 (forall @t139 (=> @t101 (=> @t135 (not @t137))))) % 0.83/1.09 (assume @p64 (forall @t140 (=> @t42 (=> @t137 (not @t135))))) % 0.83/1.09 (assume @p65 (forall @t93 (=> @t101 (=> @t128 @t141)))) % 0.83/1.09 (assume @p66 (forall @t93 (=> @t101 (=> @t128 @t127)))) % 0.83/1.09 (assume @p67 (forall @t93 (=> @t92 @t142))) % 0.83/1.09 (assume @p68 (forall @t123 (=> @t92 (=> (not @t146) @t145)))) % 0.83/1.09 (assume @p69 (forall @t93 (=> @t92 (or @t128 @t103 @t126)))) % 0.83/1.09 (assume @p70 (forall @t124 (=> @t92 (= @t144 (or @t146 @t54))))) % 0.83/1.09 (assume @p71 (forall @t124 (=> @t92 (= @t55 (or @t143 @t146))))) % 0.83/1.09 (assume @p72 (forall @t43 (=> @t42 (not (tptp.c_Orderings_Oord__class_Oless @t41 @t38 @t38))))) % 0.83/1.09 (assume @p73 (forall @t65 (=> @t83 (= (= @t61 @t63) @t147)))) % 0.83/1.09 (assume @p74 (forall @t65 (=> @t83 (= (= @t61 @t62) (= @t63 @t60))))) % 0.83/1.09 (assume @p75 (forall @t65 (=> @t83 (= @t148 (= @t62 @t61))))) % 0.83/1.09 (assume @p76 (forall @t150 (=> @t83 (= (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t149) @t107)))) % 0.83/1.09 (assume @p77 (forall @t155 (=> @t154 (=> @t153 @t152)))) % 0.83/1.09 (assume @p78 (forall @t159 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t157 @t158) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t158 @t156) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t157 @t156))))) % 0.83/1.09 (assume @p79 (forall @t155 (or @t154 @t153))) % 0.83/1.09 (assume @p80 (forall @t160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t151 @t151))) % 0.83/1.09 (assume @p81 (forall @t167 (=> @t166 (= (= @t164 (tptp.c_Polynomial_Opoly @t41 @t161)) @t163)))) % 0.83/1.09 (assume @p82 (forall @t102 (=> @t101 (=> @t90 @t131)))) % 0.83/1.09 (assume @p83 (forall @t106 (=> @t42 (=> @t91 @t133)))) % 0.83/1.09 (assume @p84 (forall @t102 (=> @t101 (=> @t126 (=> @t100 @t130))))) % 0.83/1.09 (assume @p85 (forall @t106 (=> @t42 (=> @t128 (=> @t105 @t132))))) % 0.83/1.09 (assume @p86 (forall @t139 (=> @t101 (=> @t112 (=> @t168 @t135))))) % 0.83/1.09 (assume @p87 (forall @t140 (=> @t101 (=> @t115 (=> @t168 @t137))))) % 0.83/1.09 (assume @p88 (forall @t93 (=> @t101 (=> @t91 (or @t128 @t103))))) % 0.83/1.09 (assume @p89 (forall @t124 (=> @t92 (=> @t120 @t145)))) % 0.83/1.09 (assume @p90 (forall @t93 (=> @t42 (=> @t128 @t91)))) % 0.83/1.09 (assume @p91 (forall @t104 (=> @t92 (=> @t90 @t129)))) % 0.83/1.09 (assume @p92 (forall @t140 (=> @t101 (=> @t168 (=> @t112 @t135))))) % 0.83/1.09 (assume @p93 (forall @t140 (=> @t101 (=> @t168 (=> @t115 @t137))))) % 0.83/1.09 (assume @p94 (forall @t124 (=> @t92 (=> @t144 @t121)))) % 0.83/1.09 (assume @p95 (forall @t104 (=> @t92 (=> (not @t90) @t128)))) % 0.83/1.09 (assume @p96 (forall @t93 (=> @t92 (=> @t129 @t90)))) % 0.83/1.09 (assume @p97 (forall @t124 (=> @t101 (= @t120 (or @t143 @t54))))) % 0.83/1.09 (assume @p98 (forall @t124 (=> @t42 (= @t143 (and @t120 (not @t122)))))) % 0.83/1.09 (assume @p99 (forall @t124 (=> @t101 (= @t143 (and @t120 @t55))))) % 0.83/1.09 (assume @p100 (forall @t93 (=> @t92 (or @t91 @t126)))) % 0.83/1.09 (assume @p101 (forall @t124 (=> @t92 (= (not @t120) @t146)))) % 0.83/1.09 (assume @p102 (forall @t124 (=> @t92 (= @t144 @t122)))) % 0.83/1.09 (assume @p103 (forall @t140 (=> @t64 (=> @t115 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t169 @t149))))) % 0.83/1.09 (assume @p104 (forall @t171 (=> @t64 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t63 @t61) @t170)))) % 0.83/1.09 (assume @p105 (forall @t65 (=> @t64 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t61 @t62) (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t63 @t60))))) % 0.83/1.09 (assume @p106 (forall @t65 (=> @t64 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t60 @t63) (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t62 @t61))))) % 0.83/1.09 (assume @p107 (forall @t171 (=> @t64 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t63 @t61) @t172)))) % 0.83/1.09 (assume @p108 (forall @t65 (=> @t64 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t61 @t62) (tptp.c_Orderings_Oord__class_Oless @t41 @t63 @t60))))) % 0.83/1.09 (assume @p109 (forall @t82 (=> @t173 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t60 @t61) @t88)))) % 0.83/1.09 (assume @p110 (forall @t68 (=> @t174 (not (tptp.c_Orderings_Oord__class_Oless @t41 @t66 @t69))))) % 0.83/1.09 (assume @p111 (forall @t68 (=> @t174 (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t66)))) % 0.83/1.09 (assume @p112 (forall @t68 (=> @t174 (not (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t66 @t69))))) % 0.83/1.09 (assume @p113 (forall @t68 (=> @t174 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t66)))) % 0.83/1.09 (assume @p114 (forall @t93 (=> @t175 (=> @t91 (tptp.c_Orderings_Oord__class_Oless__eq @t41 (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t89) @t51))))) % 0.83/1.09 (assume @p115 (forall @t124 (=> @t175 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t177 @t176) @t122)))) % 0.83/1.09 (assume @p116 (forall (@list @t44 @t179) (exists @t180 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t178) (forall @t21 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t18 @t179) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t44) @t14)) @t178))))))) % 0.83/1.09 (assume @p117 (forall @t68 (=> @t181 (not (= @t66 @t69))))) % 0.83/1.09 (assume @p118 (forall @t68 (=> @t181 (not (= @t69 @t66))))) % 0.83/1.09 (assume @p119 (forall @t43 (=> @t52 (and (=> @t184 (= @t183 @t7)) (=> @t185 (= @t183 @t31)))))) % 0.83/1.09 (assume @p120 (forall @t43 (=> @t188 (and (=> @t184 (= @t182 @t69)) (=> @t185 (and (=> @t187 (= @t182 @t66)) (=> (not @t187) (= @t182 @t186)))))))) % 0.83/1.09 (assume @p121 (forall @t43 (=> @t173 (and (=> @t191 (= @t189 @t72)) (=> (not @t191) (and (=> @t190 (= @t189 @t70)) (=> (not @t190) (= @t189 (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t70))))))))) % 0.83/1.09 (assume @p122 (forall @t125 (=> @t98 (= (tptp.c_Orderings_Oord__class_Oless @t96 @t2 @t1) (and @t97 (not (tptp.c_Orderings_Oord__class_Oless__eq @t96 @t1 @t2))))))) % 0.83/1.09 (assume @p123 (forall @t150 (=> @t173 (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t192) @t192)))) % 0.83/1.09 (assume @p124 (forall @t82 (=> @t173 (= (= @t193 @t69) @t80)))) % 0.83/1.09 (assume @p125 (forall @t76 (=> @t52 (= (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t32) @t69) @t77)))) % 0.83/1.09 (assume @p126 (forall @t68 (=> @t52 @t194))) % 0.83/1.09 (assume @p127 (forall @t68 (=> @t188 @t194))) % 0.83/1.09 (assume @p128 (forall @t68 (=> @t67 (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t66) @t66)))) % 0.83/1.09 (assume @p129 (forall @t196 (=> @t166 (= (= @t164 @t73) @t195)))) % 0.83/1.09 (assume @p130 (forall @t43 (=> @t52 (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t51) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t182))))) % 0.83/1.09 (assume @p131 (forall @t82 (=> @t173 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t193 @t69) @t88)))) % 0.83/1.09 (assume @p132 (forall @t82 (=> @t173 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t193) @t87)))) % 0.83/1.09 (assume @p133 (forall @t68 (=> @t197 (= (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t72) @t72)))) % 0.83/1.09 (assume @p134 (forall @t150 (=> @t173 (=> @t198 (= @t192 @t66))))) % 0.83/1.09 (assume @p135 (forall @t82 (=> @t173 (= (= @t193 @t66) @t87)))) % 0.83/1.09 (assume @p136 (forall @t82 (=> @t173 (= (= @t193 @t186) @t88)))) % 0.83/1.09 (assume @p137 (forall @t150 (=> @t173 (=> @t199 (= @t192 @t186))))) % 0.83/1.09 (assume @p138 (forall @t93 (=> @t173 @t142))) % 0.83/1.09 (assume @p139 (forall @t43 (=> @t175 (= (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t51) @t38)))) % 0.83/1.09 (assume @p140 (forall (@list @t32 @t200 @t95 @t41) (=> (tptp.class_Groups_Ouminus @t41) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun @t95 @t41) @t200) @t32) (tptp.c_Groups_Ouminus__class_Ouminus @t41 (tptp.hAPP @t200 @t32)))))) % 0.83/1.09 (assume @p141 (forall @t124 (=> @t175 (= (= @t177 @t176) @t54)))) % 0.83/1.09 (assume @p142 (forall @t40 @t203)) % 0.83/1.09 (assume @p143 (forall @t208 (and (=> @t207 (= @t205 @t7)) (=> (not @t207) (and (=> @t206 (= @t205 @t31)) (=> (not @t206) (= @t205 @t204))))))) % 0.83/1.09 (assume @p144 (forall @t40 (and (=> @t209 (= @t201 @t7)) (=> @t210 (and @t203 (=> (not @t202) (= @t201 @t204))))))) % 0.83/1.09 (assume @p145 (forall (@list @t60 @t162 @t41) (=> @t165 (= (= (tptp.hAPP @t164 @t60) @t69) (or @t195 (not (= (tptp.c_Polynomial_Oorder @t41 @t60 @t162) @t211))))))) % 0.83/1.09 (assume @p146 (forall @t196 (=> @t78 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t41 @t162) @t211) @t195)))) % 0.83/1.09 (assume @p147 (forall (@list @t41 @t35 @t2 @t95) (=> @t215 (=> @t214 (= (tptp.c_Polynomial_Opoly__rec @t41 @t95 @t35 @t2 @t213) @t35))))) % 0.83/1.09 (assume @p148 (forall @t218 (=> @t173 (or @t217 @t216 (tptp.c_Polynomial_Opos__poly @t41 @t48))))) % 0.83/1.09 (assume @p149 (forall @t40 (=> (not @t220) (=> @t210 (tptp.c_RealDef_Opositive @t219))))) % 0.83/1.09 (assume @p150 (forall @t231 (=> @t52 (= @t230 @t229)))) % 0.83/1.09 (assume @p151 (forall @t208 (= (tptp.c_Complex_Orcis @t7 @t107) @t36))) % 0.83/1.09 (assume @p152 (forall @t236 (=> @t71 (and (=> @t234 (= @t233 @t66)) (=> @t235 (= @t233 @t69)))))) % 0.83/1.09 (assume @p153 (forall @t68 (=> @t71 (= @t70 @t237)))) % 0.83/1.09 (assume @p154 (forall @t240 (=> @t78 (= (tptp.hAPP @t239 @t211) @t107)))) % 0.83/1.09 (assume @p155 (forall (@list @t161 @t62 @t162 @t60 @t41) (=> @t78 (= (= @t241 (tptp.c_Polynomial_OpCons @t41 @t62 @t161)) (and @t147 @t163))))) % 0.83/1.09 (assume @p156 (forall @t124 (=> @t78 (= (= @t242 (tptp.c_Polynomial_Ocoeff @t41 @t53)) @t54)))) % 0.83/1.09 (assume @p157 (forall @t167 (=> @t78 (= @t163 (forall @t226 (= (tptp.hAPP @t243 @t222) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t161) @t222))))))) % 0.83/1.09 (assume @p158 (forall (@list @t162 @t60 @t2 @t35 @t41 @t95) (=> @t215 (= @t246 (tptp.hAPP @t245 (tptp.c_If @t41 (tptp.c_fequal @t162 @t213) @t35 @t244)))))) % 0.83/1.09 (assume @p159 (forall (@list @t162 @t60 @t41 @t35 @t2 @t95) (=> @t215 (=> @t214 (= @t246 (tptp.hAPP @t245 @t244)))))) % 0.83/1.09 (assume @p160 (forall @t248 (=> @t173 (= (tptp.c_Polynomial_Opos__poly @t41 @t241) (or @t247 (and @t195 @t87)))))) % 0.83/1.09 (assume @p161 (forall @t68 (=> @t78 (= (tptp.c_Polynomial_OpCons @t41 @t69 @t72) @t72)))) % 0.83/1.09 (assume @p162 (forall @t248 (=> @t78 (= (= @t241 @t72) (and @t80 @t195))))) % 0.83/1.09 (assume @p163 (forall @t68 (=> @t173 (not (tptp.c_Polynomial_Opos__poly @t41 @t72))))) % 0.83/1.09 (assume @p164 (not (tptp.c_RealDef_Opositive @t7))) % 0.83/1.09 (assume @p165 (forall @t236 (=> @t78 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t72) @t232) @t69)))) % 0.83/1.09 (assume @p166 (forall (@list @t44 @t107 @t95) (=> (tptp.class_Groups_Oab__group__add @t95) (= (tptp.c_Groups_Ouminus__class_Ouminus @t212 (tptp.c_Polynomial_OpCons @t95 @t107 @t44)) (tptp.c_Polynomial_OpCons @t95 (tptp.c_Groups_Ouminus__class_Ouminus @t95 @t107) (tptp.c_Groups_Ouminus__class_Ouminus @t212 @t44)))))) % 0.83/1.09 (assume @p167 (forall @t240 (=> @t197 (= (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t238) (tptp.c_Polynomial_OpCons @t41 @t149 @t48))))) % 0.83/1.09 (assume @p168 (forall @t251 (=> @t197 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t48) @t232) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t250))))) % 0.83/1.09 (assume @p169 (forall @t252 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t211 @t232))) % 0.83/1.09 (assume @p170 (forall @t252 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t211)))) % 0.83/1.09 (assume @p171 (forall (@list @t223 @t253 @t41) (=> @t52 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t253) (=> (forall @t226 @t254) @t230))))) % 0.83/1.09 (assume @p172 (forall @t231 (=> @t52 (=> @t230 @t229)))) % 0.83/1.09 (assume @p173 (forall @t258 (=> @t165 (= (= (tptp.hAPP @t164 @t255) @t69) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t257 (tptp.c_Polynomial_OpCons @t41 @t256 @t237)) @t162)))))) % 0.83/1.09 (assume @p174 (forall (@list @t162 @t255 @t41) (=> @t165 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t257 (tptp.c_Polynomial_OpCons @t41 @t255 @t237)) @t162)) (= (tptp.hAPP @t164 @t256) @t69))))) % 0.83/1.09 (assume @p175 (forall (@list @t260 @t107 @t41) (=> @t74 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t41 @t259 @t260) @t259)))) % 0.83/1.09 (assume @p176 (forall (@list @t108 @t44 @t107 @t41) (=> @t74 (= (tptp.c_Polynomial_Osynthetic__div @t41 @t238 @t108) (tptp.c_Polynomial_OpCons @t41 @t262 @t261))))) % 0.83/1.09 (assume @p177 (forall @t150 (=> @t71 (tptp.hBOOL (tptp.hAPP @t264 @t69))))) % 0.83/1.09 (assume @p178 (forall @t271 (= @t270 (and @t269 @t268)))) % 0.83/1.09 (assume @p179 (forall @t271 (= @t269 @t272))) % 0.83/1.09 (assume @p180 (forall @t276 (=> @t275 @t274))) % 0.83/1.09 (assume @p181 (forall @t276 (=> @t274 (=> @t278 @t275)))) % 0.83/1.09 (assume @p182 (forall @t276 (=> (or @t275 @t277) @t274))) % 0.83/1.09 (assume @p183 (forall (@list @t279 @t265 @t266) (=> (=> @t270 @t281) (=> (=> @t267 @t281) (=> (=> @t282 @t281) @t281))))) % 0.83/1.09 (assume @p184 (forall (@list @t283 @t284) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t284 @t283) (not (= @t284 @t283))))) % 0.83/1.09 (assume @p185 (forall @t286 (=> @t285 @t278))) % 0.83/1.09 (assume @p186 (forall @t252 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t232)))) % 0.83/1.09 (assume @p187 (forall @t288 (=> @t127 (=> (not @t287) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t89 @t38))))) % 0.83/1.09 (assume @p188 (forall @t271 (= @t268 (or @t270 @t282)))) % 0.83/1.09 (assume @p189 (forall @t150 (=> @t71 (tptp.hBOOL (tptp.hAPP @t264 @t107))))) % 0.83/1.09 (assume @p190 (forall @t117 (=> @t71 (=> @t292 (=> @t291 @t289))))) % 0.83/1.09 (assume @p191 (forall @t276 (=> @t274 (=> @t293 @t277)))) % 0.83/1.09 (assume @p192 (forall @t159 (=> @t294 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t158 @t156) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157 @t156))))) % 0.83/1.09 (assume @p193 (forall @t276 (=> @t277 @t274))) % 0.83/1.09 (assume @p194 (forall @t276 (or @t274 @t293))) % 0.83/1.09 (assume @p195 (forall @t252 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t232 @t232))) % 0.83/1.09 (assume @p196 (forall @t150 (=> @t71 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t263 @t69) @t107)) @t295)))) % 0.83/1.09 (assume @p197 (forall @t150 (=> @t71 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t263 @t66) @t107))))) % 0.83/1.09 (assume @p198 (forall @t124 (=> @t298 (= (tptp.hBOOL (tptp.hAPP @t296 @t176)) @t297)))) % 0.83/1.09 (assume @p199 (forall @t124 (=> @t298 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t263 @t177) @t53)) @t297)))) % 0.83/1.09 (assume @p200 (forall (@list @t108 @t41) (=> @t74 (= (tptp.c_Polynomial_Osynthetic__div @t41 @t72 @t108) @t72)))) % 0.83/1.09 (assume @p201 (forall (@list @t260 @t41) (=> @t74 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t41 @t72 @t260) @t72)))) % 0.83/1.09 (assume @p202 (forall (@list @t299 @t162 @t41) (=> @t74 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t41 @t162 @t299) @t72) @t195)))) % 0.83/1.09 (assume @p203 (forall @t252 (=> @t235 @t300))) % 0.83/1.09 (assume @p204 (forall @t276 (=> @t275 @t235))) % 0.83/1.09 (assume @p205 (forall @t302 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t265 @t211) @t301))) % 0.83/1.09 (assume @p206 (forall @t302 (= @t304 @t303))) % 0.83/1.09 (assume @p207 (forall @t288 (=> @t287 @t305))) % 0.83/1.09 (assume @p208 (forall @t231 (=> @t101 (= (tptp.c_SEQ_Odecseq @t41 @t223) (forall @t308 (=> @t307 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t224 @t306))))))) % 0.83/1.09 (assume @p209 (forall @t240 (=> @t165 @t312))) % 0.83/1.09 (assume @p210 (forall @t231 (=> @t101 (= @t313 (forall @t308 (=> @t307 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t306 @t224))))))) % 0.83/1.09 (assume @p211 (forall (@list @t253 @t223 @t314 @t41) (=> @t52 (=> (forall @t226 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t314 @t222) @t254)) @t230)))) % 0.83/1.09 (assume @p212 (forall @t251 (=> @t78 (=> @t318 (=> @t317 (or @t217 @t316)))))) % 0.83/1.09 (assume @p213 (forall @t320 (=> @t71 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t319) @t232) @t66)))) % 0.83/1.09 (assume @p214 (forall @t248 (=> @t78 (= (tptp.c_Polynomial_Ocoeff @t41 @t241) @t321)))) % 0.83/1.09 (assume @p215 (forall @t329 (=> @t328 (= @t327 @t323)))) % 0.83/1.09 (assume @p216 (forall (@list @t38 @t232 @t44 @t41) (=> @t71 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t330) @t38) (tptp.hAPP (tptp.hAPP @t324 @t46) @t232))))) % 0.83/1.09 (assume @p217 (forall @t329 (=> @t67 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t327 @t323)))) % 0.83/1.09 (assume @p218 (forall @t218 (=> @t197 (= (tptp.c_Polynomial_Odegree @t41 @t48) @t315)))) % 0.83/1.09 (assume @p219 (forall (@list @t260 @t44 @t41) (=> @t74 (= (tptp.c_Polynomial_Odegree @t41 @t331) @t315)))) % 0.83/1.09 (assume @p220 (forall @t320 (=> @t71 (= (tptp.c_Polynomial_Odegree @t41 @t319) @t232)))) % 0.83/1.09 (assume @p221 (forall @t68 (=> @t78 (= (tptp.c_Polynomial_Odegree @t41 @t72) @t211)))) % 0.83/1.09 (assume @p222 (forall @t276 (=> @t334 (=> @t275 (not @t333))))) % 0.83/1.09 (assume @p223 (forall (@list @t336 @t335 @t41) (= (tptp.hAPP @t337 @t211) @t335))) % 0.83/1.09 (assume @p224 (forall @t344 (=> @t165 (=> (= @t343 @t342) (=> @t339 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t257 @t338) @t44)) (= @t44 @t338))))))) % 0.83/1.09 (assume @p225 (forall @t68 (=> @t71 (= (tptp.c_Polynomial_Odegree @t41 @t70) @t211)))) % 0.83/1.09 (assume @p226 (forall @t251 (=> @t78 (=> @t316 @t317)))) % 0.83/1.09 (assume @p227 (forall @t251 (=> @t78 (=> (not @t317) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t232 @t315))))) % 0.83/1.09 (assume @p228 (forall @t196 (=> @t78 (= (= @t346 @t69) @t195)))) % 0.83/1.09 (assume @p229 (forall @t218 (=> @t78 (=> @t347 (not (= @t343 @t69)))))) % 0.83/1.09 (assume @p230 (forall @t150 (=> @t78 (= (tptp.c_Polynomial_Odegree @t41 @t259) @t211)))) % 0.83/1.09 (assume @p231 (forall @t344 (=> @t165 (=> @t339 (=> @t348 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t315 @t340)))))) % 0.83/1.09 (assume @p232 (forall (@list @t232 @t156) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t156) @t232)) (=> @t300 @t349)))) % 0.83/1.09 (assume @p233 (forall @t258 (=> @t74 (= (= (tptp.c_Polynomial_Osynthetic__div @t41 @t162 @t255) @t72) (= @t345 @t211))))) % 0.83/1.09 (assume @p234 (forall @t350 (=> @t165 (=> @t347 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t309 @t315))))) % 0.83/1.09 (assume @p235 (forall @t196 (=> @t173 (= @t247 (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t346))))) % 0.83/1.09 (assume @p236 (forall @t357 (=> @t174 (=> @t137 (=> @t356 (=> @t300 @t355)))))) % 0.83/1.09 (assume @p237 (forall @t359 (=> @t71 (=> (or @t300 (= @t38 @t66)) (tptp.hBOOL (tptp.hAPP @t358 @t326)))))) % 0.83/1.09 (assume @p238 (forall @t320 (=> @t174 (=> @t360 (=> @t300 (tptp.c_Orderings_Oord__class_Oless @t41 @t66 @t354)))))) % 0.83/1.09 (assume @p239 (forall @t362 (=> @t174 (=> @t360 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t361 @t354) @t274))))) % 0.83/1.09 (assume @p240 (forall @t367 (=> @t174 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t365 @t364) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t32 @t53)))))) % 0.83/1.09 (assume @p241 (forall @t371 (=> @t174 (=> @t370 (=> @t356 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t107 @t66) (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t369 @t354))))))) % 0.83/1.09 (assume @p242 (forall @t373 (=> @t174 (=> (= @t354 @t352) (=> @t356 (=> @t372 (=> @t300 @t118))))))) % 0.83/1.09 (assume @p243 (forall @t40 (tptp.hBOOL (tptp.hAPP @t374 @t38)))) % 0.83/1.09 (assume @p244 (forall @t288 (=> @t378 (not (and @t377 (not @t375)))))) % 0.83/1.09 (assume @p245 (forall @t384 (=> @t378 @t383))) % 0.83/1.09 (assume @p246 (forall @t390 (=> @t389 (not (and @t388 (not @t386)))))) % 0.83/1.09 (assume @p247 (forall @t384 (=> @t378 (=> @t382 @t381)))) % 0.83/1.09 (assume @p248 (forall @t394 (=> @t389 (=> @t111 @t393)))) % 0.83/1.09 (assume @p249 (forall @t288 (=> @t378 @t141))) % 0.83/1.09 (assume @p250 (forall @t288 (=> @t378 @t127))) % 0.83/1.09 (assume @p251 (forall @t288 (=> @t378 @t375))) % 0.83/1.09 (assume @p252 (forall @t384 (=> @t375 @t383))) % 0.83/1.09 (assume @p253 (forall @t394 (=> @t118 (=> (and @t395 (not (tptp.hBOOL (tptp.hAPP @t391 @t110)))) @t393)))) % 0.83/1.09 (assume @p254 (forall @t384 (=> @t375 (=> @t382 @t380)))) % 0.83/1.09 (assume @p255 (forall @t288 (=> @t375 (=> @t377 @t103)))) % 0.83/1.09 (assume @p256 (forall @t276 (=> @t396 (=> @t333 @t277)))) % 0.83/1.09 (assume @p257 (forall @t394 (=> @t386 (=> @t111 @t392)))) % 0.83/1.09 (assume @p258 (forall @t394 (=> @t118 (=> @t395 @t392)))) % 0.83/1.09 (assume @p259 (forall @t390 (=> @t386 (=> @t168 @t389)))) % 0.83/1.09 (assume @p260 (forall @t288 (=> @t375 (or @t378 @t103)))) % 0.83/1.09 (assume @p261 (forall (@list @t32 @t53) (=> @t398 (= @t397 @t54)))) % 0.83/1.09 (assume @p262 (forall @t288 (=> @t103 @t375))) % 0.83/1.09 (assume @p263 (forall @t390 (=> @t168 (=> @t386 @t389)))) % 0.83/1.09 (assume @p264 (forall @t58 (= @t399 (and @t397 @t55)))) % 0.83/1.09 (assume @p265 (forall @t58 (= @t397 (or @t399 @t54)))) % 0.83/1.09 (assume @p266 (forall @t58 (= @t54 (and @t397 @t398)))) % 0.83/1.09 (assume @p267 (forall @t403 (= (tptp.hBOOL (tptp.hAPP @t402 @t400)) @t401))) % 0.83/1.09 (assume @p268 (forall @t408 (= @t407 (or @t404 @t301)))) % 0.83/1.09 (assume @p269 (forall @t412 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t157) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t411 @t410) @t275)))) % 0.83/1.09 (assume @p270 (forall @t412 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t411) @t410)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t400 @t157) @t274)))) % 0.83/1.09 (assume @p271 (forall @t150 (=> @t413 (= (tptp.hAPP @t353 @t400) @t107)))) % 0.83/1.09 (assume @p272 (forall @t320 (=> @t415 (=> @t414 (not (= @t354 @t69)))))) % 0.83/1.09 (assume @p273 (forall @t236 (=> @t413 (= (tptp.hAPP (tptp.hAPP @t324 @t66) @t232) @t66)))) % 0.83/1.09 (assume @p274 (forall (@list @t232 @t89 @t38 @t41) (=> @t71 (=> @t418 (tptp.hBOOL (tptp.hAPP @t417 (tptp.hAPP @t416 @t232))))))) % 0.83/1.09 (assume @p275 (forall @t357 (=> @t174 (=> @t115 (=> @t356 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t354 @t352)))))) % 0.83/1.09 (assume @p276 (forall @t320 (=> @t174 (=> @t356 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t354))))) % 0.83/1.09 (assume @p277 (forall @t320 (=> @t174 (=> @t198 (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t354))))) % 0.83/1.09 (assume @p278 (forall @t320 (=> @t174 (=> @t419 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t66 @t354))))) % 0.83/1.09 (assume @p279 (forall (@list @t265 @t60 @t41) (=> (and @t424 @t423 @t422 @t181) (= (= @t421 @t69) (and @t80 @t304))))) % 0.83/1.09 (assume @p280 (forall (@list @t265 @t266 @t60 @t41) (=> @t174 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t66 @t60) (= (= (tptp.hAPP @t420 @t266) @t421) @t267))))) % 0.83/1.09 (assume @p281 (forall @t150 (=> @t424 (= (tptp.hAPP @t353 @t211) @t66)))) % 0.83/1.09 (assume @p282 (forall (@list @t273 @t110 @t232 @t107 @t41) (=> @t71 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t263 @t354) @t110)) (=> @t274 (tptp.hBOOL (tptp.hAPP @t425 @t110))))))) % 0.83/1.09 (assume @p283 (forall (@list @t273 @t232 @t89 @t38 @t41) (=> @t71 (=> @t418 (=> @t293 (tptp.hBOOL (tptp.hAPP @t417 (tptp.hAPP @t416 @t273)))))))) % 0.83/1.09 (assume @p284 (forall (@list @t107 @t232 @t273 @t41) (=> @t71 (=> @t274 (tptp.hBOOL (tptp.hAPP @t425 @t354)))))) % 0.83/1.09 (assume @p285 (forall @t373 (=> @t174 (=> @t355 (=> @t372 @t137))))) % 0.83/1.09 (assume @p286 (forall @t236 (=> @t429 (and (=> @t234 (= @t427 @t66)) (=> @t235 (= @t427 @t69)))))) % 0.83/1.09 (assume @p287 (forall @t371 (=> @t174 (=> @t430 (=> @t360 (tptp.c_Orderings_Oord__class_Oless @t41 @t354 @t369)))))) % 0.83/1.09 (assume @p288 (forall @t362 (=> @t174 (=> @t360 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t361 @t354) @t275))))) % 0.83/1.09 (assume @p289 (forall @t367 (=> @t174 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t365 @t364) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t53)))))) % 0.83/1.09 (assume @p290 (forall @t371 (=> @t174 (=> @t370 (=> @t419 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t354 @t369)))))) % 0.83/1.09 (assume @p291 (forall @t371 (=> @t174 (=> @t430 (=> @t198 (=> @t431 (tptp.c_Orderings_Oord__class_Oless @t41 @t369 @t354))))))) % 0.83/1.09 (assume @p292 (forall @t286 (=> @t300 (=> @t396 @t334)))) % 0.83/1.09 (assume @p293 (forall @t43 (=> @t71 (= (tptp.hAPP @t325 @t211) @t66)))) % 0.83/1.09 (assume @p294 (forall @t350 (=> @t165 (=> @t347 (and @t312 @t432))))) % 0.83/1.09 (assume @p295 (forall @t350 (=> @t165 (=> @t347 @t432)))) % 0.83/1.09 (assume @p296 (forall @t433 (=> @t304 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 (tptp.hAPP (tptp.hAPP @t405 @t60) @t265)) (tptp.hAPP (tptp.hAPP @t405 @t62) @t265))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t60) @t62)))))) % 0.83/1.09 (assume @p297 (forall @t434 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 (tptp.hAPP (tptp.hAPP @t405 @t107) @t232)) (tptp.hAPP (tptp.hAPP @t405 @t110) @t232))) (=> @t235 @t386)))) % 0.83/1.09 (assume @p298 (forall @t40 (tptp.hBOOL (tptp.hAPP @t374 @t211)))) % 0.83/1.09 (assume @p299 (forall @t252 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t435))) % 0.83/1.09 (assume @p300 (forall @t276 (=> @t275 @t437))) % 0.83/1.09 (assume @p301 (forall @t252 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t435))) % 0.83/1.09 (assume @p302 (forall (@list @t156) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t438) @t156)))) % 0.83/1.09 (assume @p303 (forall @t288 (=> (= (tptp.c_Nat_OSuc @t38) (tptp.c_Nat_OSuc @t89)) @t103))) % 0.83/1.09 (assume @p304 (forall (@list @t439 @t440) (= (= @t441 (tptp.c_Nat_OSuc @t439)) (= @t440 @t439)))) % 0.83/1.09 (assume @p305 (forall @t252 (not (= @t435 @t232)))) % 0.83/1.09 (assume @p306 (forall @t252 (not (= @t232 @t435)))) % 0.83/1.09 (assume @p307 (forall @t442 (not (= @t436 @t211)))) % 0.83/1.09 (assume @p308 (forall @t442 (not (= @t211 @t436)))) % 0.83/1.09 (assume @p309 (= @t400 @t438)) % 0.83/1.09 (assume @p310 (forall (@list @t443) (not (= (tptp.c_Nat_OSuc @t443) @t211)))) % 0.83/1.09 (assume @p311 (forall (@list @t444) (not (= @t211 (tptp.c_Nat_OSuc @t444))))) % 0.83/1.09 (assume @p312 (forall @t252 (= (tptp.hAPP (tptp.hAPP @t405 @t438) @t232) @t438))) % 0.83/1.09 (assume @p313 (forall (@list @t266 @t32) (= (= (tptp.hAPP @t406 @t266) @t438) (or @t445 (= @t32 @t438))))) % 0.83/1.09 (assume @p314 (forall @t271 (= (not @t270) @t447))) % 0.83/1.09 (assume @p315 (forall @t271 (= @t449 @t272))) % 0.83/1.09 (assume @p316 (forall @t271 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t446 @t448) @t270))) % 0.83/1.09 (assume @p317 (forall @t452 (=> (not @t282) @t451))) % 0.83/1.09 (assume @p318 (forall @t286 (=> (not @t285) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t436) @t277)))) % 0.83/1.09 (assume @p319 (forall @t276 (=> @t275 @t453))) % 0.83/1.09 (assume @p320 (forall @t276 (=> @t275 (=> (not (= @t436 @t232)) @t454)))) % 0.83/1.09 (assume @p321 (forall @t159 (=> @t456 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t158 @t156) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t455 @t156))))) % 0.83/1.09 (assume @p322 (forall @t276 (=> @t453 (=> (not @t275) @t277)))) % 0.83/1.09 (assume @p323 (forall @t276 (=> @t454 @t275))) % 0.83/1.09 (assume @p324 (forall @t276 (=> @t437 @t275))) % 0.83/1.09 (assume @p325 (forall @t252 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t435 @t232)))) % 0.83/1.09 (assume @p326 (forall @t271 (= (not @t269) @t457))) % 0.83/1.09 (assume @p327 (forall @t271 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t266 @t448) (or @t269 (= @t266 @t448))))) % 0.83/1.09 (assume @p328 (forall @t452 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t448 @t446) @t458))) % 0.83/1.09 (assume @p329 (forall @t276 (=> @t274 @t459))) % 0.83/1.09 (assume @p330 (forall @t276 (=> @t459 (=> (not @t274) (= @t273 @t435))))) % 0.83/1.09 (assume @p331 (forall @t276 (=> @t460 @t274))) % 0.83/1.09 (assume @p332 (forall (@list @t440 @t336 @t335 @t41) (= (tptp.hAPP @t337 @t441) (tptp.hAPP @t336 @t440)))) % 0.83/1.09 (assume @p333 (forall @t236 (=> @t429 (= (tptp.hAPP @t426 @t435) @t69)))) % 0.83/1.09 (assume @p334 (forall @t271 (= @t449 (or @t445 (exists (@list @t461) (and (= @t266 (tptp.c_Nat_OSuc @t461)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t461 @t265))))))) % 0.83/1.09 (assume @p335 (forall @t302 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t265 @t438) @t301))) % 0.83/1.09 (assume @p336 (forall @t302 (= @t303 (exists @t180 (= @t265 (tptp.c_Nat_OSuc @t178)))))) % 0.83/1.09 (assume @p337 (forall @t403 (= (tptp.hBOOL (tptp.hAPP @t402 @t438)) @t462))) % 0.83/1.09 (assume @p338 (forall (@list @t232 @t157) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t438 @t157) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t438 @t410)))) % 0.83/1.09 (assume @p339 (forall @t276 (=> @t460 @t275))) % 0.83/1.09 (assume @p340 (forall @t271 (=> @t269 @t451))) % 0.83/1.09 (assume @p341 (forall @t276 (=> @t275 @t460))) % 0.83/1.09 (assume @p342 (forall @t276 (=> @t274 @t453))) % 0.83/1.09 (assume @p343 (forall @t271 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t446 @t265) @t270))) % 0.83/1.09 (assume @p344 (forall @t271 (= @t449 @t269))) % 0.83/1.09 (assume @p345 (forall @t452 (= @t282 @t457))) % 0.83/1.09 (assume @p346 (forall (@list @t232 @t44 @t107 @t41) (=> @t78 (= (tptp.hAPP @t239 @t435) @t250)))) % 0.83/1.09 (assume @p347 (forall @t373 (=> @t174 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t464 @t463) (=> @t372 @t115))))) % 0.83/1.09 (assume @p348 (forall @t373 (=> @t174 (=> (= @t464 @t463) (=> @t356 (=> @t372 @t118)))))) % 0.83/1.09 (assume @p349 (forall @t320 (=> @t174 (=> @t360 (tptp.c_Orderings_Oord__class_Oless @t41 @t66 @t464))))) % 0.83/1.09 (assume @p350 (forall @t124 (=> @t165 (= (= (tptp.hAPP (tptp.hAPP @t324 @t32) @t465) (tptp.hAPP (tptp.hAPP @t324 @t53) @t465)) (or @t54 (= @t32 @t176)))))) % 0.83/1.09 (assume @p351 (forall @t240 (=> @t78 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t467 @t466)))) % 0.83/1.09 (assume @p352 (forall @t434 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t468 (tptp.hAPP (tptp.hAPP @t469 @t107) @t232)) (tptp.hAPP (tptp.hAPP @t469 @t110) @t232))) (=> @t235 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t468 @t107) @t110)))))) % 0.83/1.09 (assume @p353 (forall @t433 (=> @t304 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t468 (tptp.hAPP (tptp.hAPP @t469 @t60) @t265)) (tptp.hAPP (tptp.hAPP @t469 @t62) @t265))) (tptp.hBOOL (tptp.hAPP @t470 @t62)))))) % 0.83/1.09 (assume @p354 (forall @t43 (=> @t71 (= (tptp.hAPP @t325 @t400) @t38)))) % 0.83/1.09 (assume @p355 (forall @t350 (=> @t78 @t471))) % 0.83/1.09 (assume @p356 (forall @t40 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t400) @t38)))) % 0.83/1.09 (assume @p357 (forall (@list @t232 @t179 @t41) (=> @t174 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t179) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t179 @t66) (tptp.c_Orderings_Oord__class_Oless__eq @t41 (tptp.hAPP (tptp.hAPP @t324 @t179) @t435) @t179)))))) % 0.83/1.09 (assume @p358 (forall @t320 (=> @t174 (=> @t198 (=> @t431 (tptp.c_Orderings_Oord__class_Oless @t41 @t464 @t66)))))) % 0.83/1.09 (assume @p359 (forall @t350 (=> @t78 (and (=> @t217 (= @t467 @t211)) @t471)))) % 0.83/1.09 (assume @p360 (forall @t218 (=> @t78 (and (=> @t217 (= @t472 @t211)) (=> @t347 (= @t472 @t466)))))) % 0.83/1.09 (assume @p361 (forall @t408 (= @t407 (or @t301 @t404)))) % 0.83/1.09 (assume @p362 (forall @t40 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t465) (or (= @t38 @t211) (= @t38 @t438))))) % 0.83/1.09 (assume @p363 (forall @t477 (=> @t78 (=> (forall @t476 (=> @t475 @t474)) @t318)))) % 0.83/1.09 (assume @p364 (forall @t93 (=> @t482 (and (=> @t480 (= @t479 @t69)) (=> @t481 (= @t479 @t66)))))) % 0.83/1.09 (assume @p365 (forall @t248 (=> @t78 (= @t241 (tptp.c_Polynomial_OAbs__poly @t41 @t321))))) % 0.83/1.09 (assume @p366 (forall @t93 (=> @t482 (tptp.hBOOL (tptp.hAPP @t483 @t38))))) % 0.83/1.09 (assume @p367 (forall @t93 (=> @t482 (tptp.hBOOL (tptp.hAPP @t483 @t89))))) % 0.83/1.09 (assume @p368 (forall @t140 (=> @t482 (= @t484 (tptp.c_Polynomial_Opoly__gcd @t41 @t110 @t107))))) % 0.83/1.09 (assume @p369 (forall @t113 (=> @t482 (= (tptp.c_Polynomial_Opoly__gcd @t41 @t110 (tptp.c_Polynomial_Opoly__gcd @t41 @t107 @t108)) @t485)))) % 0.83/1.09 (assume @p370 (forall @t117 (=> @t482 (= (tptp.c_Polynomial_Opoly__gcd @t41 @t484 @t108) @t485)))) % 0.83/1.09 (assume @p371 (forall @t68 (=> @t482 (= (tptp.c_Polynomial_Opoly__gcd @t41 @t72 @t72) @t72)))) % 0.83/1.09 (assume @p372 (forall @t124 (=> @t482 (= (= @t487 @t72) (and (= @t32 @t72) @t486))))) % 0.83/1.09 (assume @p373 (forall (@list @t53 @t32 @t488 @t41) (=> @t482 (= (tptp.hBOOL (tptp.hAPP @t489 @t487)) (and (tptp.hBOOL (tptp.hAPP @t489 @t32)) (tptp.hBOOL (tptp.hAPP @t489 @t53))))))) % 0.83/1.09 (assume @p374 (forall (@list @t89 @t38 @t156 @t41) (=> @t482 (=> (tptp.hBOOL (tptp.hAPP @t490 @t38)) (=> (tptp.hBOOL (tptp.hAPP @t490 @t89)) (tptp.hBOOL (tptp.hAPP @t490 @t478))))))) % 0.83/1.09 (assume @p375 (forall @t93 (=> @t482 (= (tptp.c_Polynomial_Opoly__gcd @t41 (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t38) @t89) @t478)))) % 0.83/1.09 (assume @p376 (forall @t93 (=> @t482 (= (tptp.c_Polynomial_Opoly__gcd @t41 @t38 (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t89)) @t478)))) % 0.83/1.09 (assume @p377 (forall @t491 (=> @t482 (= (tptp.c_Polynomial_Opoly__gcd @t41 @t70 @t89) @t70)))) % 0.83/1.09 (assume @p378 (forall @t43 (=> @t482 (= (tptp.c_Polynomial_Opoly__gcd @t41 @t38 @t70) @t70)))) % 0.83/1.09 (assume @p379 (forall @t76 (=> @t78 (= (tptp.c_Polynomial_OAbs__poly @t41 @t242) @t32)))) % 0.83/1.09 (assume @p380 (forall (@list @t89 @t38 @t492 @t41) (=> @t482 (=> (tptp.hBOOL (tptp.hAPP @t497 @t38)) (=> (tptp.hBOOL (tptp.hAPP @t497 @t89)) (=> (forall @t496 (=> (tptp.hBOOL (tptp.hAPP @t495 @t38)) (=> (tptp.hBOOL (tptp.hAPP @t495 @t89)) (tptp.hBOOL (tptp.hAPP @t495 @t492))))) (=> (and (=> @t480 (= @t493 @t69)) (=> @t481 (= @t493 @t66))) (= @t478 @t492)))))))) % 0.83/1.09 (assume @p381 (forall @t477 (=> @t78 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t315) (exists @t476 (and @t475 (not @t474))))))) % 0.83/1.09 (assume @p382 (forall (@list @t53 @t32 @t2 @t41) (=> @t101 (=> @t498 (=> @t397 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t94 (tptp.hAPP @t2 @t53))))))) % 0.83/1.09 (assume @p383 (forall @t505 (=> @t504 (= @t503 (exists @t502 (forall @t226 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t501 @t500))))))) % 0.83/1.09 (assume @p384 (forall @t505 (=> @t504 (= @t503 (exists @t502 (forall @t226 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t501 @t500))))))) % 0.83/1.09 (assume @p385 (forall @t252 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t506))) % 0.83/1.09 (assume @p386 (forall @t452 (= (= @t508 @t507) @t450))) % 0.83/1.09 (assume @p387 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t211) @t7)) % 0.83/1.09 (assume @p388 (forall @t302 (= (= @t508 @t7) @t301))) % 0.83/1.09 (assume @p389 (forall @t252 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t506 @t7)))) % 0.83/1.09 (assume @p390 (forall @t452 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t508 @t507) @t282))) % 0.83/1.09 (assume @p391 (forall @t452 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t508 @t507) @t458))) % 0.83/1.09 (assume @p392 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t400) @t31)) % 0.83/1.09 (assume @p393 (forall @t276 (= @t511 @t510))) % 0.83/1.09 (assume @p394 (forall @t276 (= @t510 @t511))) % 0.83/1.09 (assume @p395 (forall @t302 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t508 @t7) @t301))) % 0.83/1.09 (assume @p396 (forall @t252 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t512))) % 0.83/1.09 (assume @p397 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t438) @t31)) % 0.83/1.09 (assume @p398 (forall @t302 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t508) @t303))) % 0.83/1.09 (assume @p399 (forall @t231 (=> @t52 (= @t230 (exists @t502 (forall @t226 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t225 @t500))))))) % 0.83/1.09 (assume @p400 (forall @t231 (=> @t52 (= @t230 (exists @t502 (forall @t226 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t225 @t500))))))) % 0.83/1.09 (assume @p401 (forall (@list @t2 @t41) (=> @t101 (=> (forall (@list @t3 @t10) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t3) @t10)) (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t5 (tptp.hAPP @t2 @t10)))) @t498)))) % 0.83/1.09 (assume @p402 (forall @t231 (=> @t101 (=> (forall @t226 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t224 (tptp.hAPP @t223 @t513))) @t313)))) % 0.83/1.09 (assume @p403 (forall (@list @t179) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t179) (exists @t226 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t515 @t179) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t179 @t514)))))) % 0.83/1.09 (assume @p404 (forall @t520 (=> @t300 (=> @t206 (exists @t519 (and @t518 (= (tptp.hAPP @t517 @t232) @t107))))))) % 0.83/1.09 (assume @p405 (forall @t520 (=> @t300 (=> @t206 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t3) (= (tptp.hAPP (tptp.hAPP @t322 @t3) @t232) @t107) (forall @t26 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t10) (= (tptp.hAPP (tptp.hAPP @t322 @t10) @t232) @t107)) (= @t10 @t3))))))))) % 0.83/1.09 (assume @p406 (forall @t523 (=> @t522 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t506) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t521 @t232))))) % 0.83/1.09 (assume @p407 (forall @t526 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t525 @t400) @t524))) % 0.83/1.09 (assume @p408 (forall @t529 (=> @t528 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t525 @t60) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t32 @t527))))) % 0.83/1.09 (assume @p409 (forall @t530 (=> @t206 (exists @t519 (and @t518 (= (tptp.hAPP @t517 @t435) @t107)))))) % 0.83/1.09 (assume @p410 (forall @t526 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t400 @t532) @t531))) % 0.83/1.09 (assume @p411 (forall @t252 (= (tptp.c_RComplete_Onatfloor @t506) @t232))) % 0.83/1.09 (assume @p412 (forall @t252 (= (tptp.c_RComplete_Onatceiling @t506) @t232))) % 0.83/1.09 (assume @p413 (= (tptp.c_RComplete_Onatfloor @t7) @t211)) % 0.83/1.09 (assume @p414 (forall @t40 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t211 @t521))) % 0.83/1.09 (assume @p415 (forall @t288 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t521 (tptp.c_RComplete_Onatfloor @t89))))) % 0.83/1.09 (assume @p416 (= (tptp.c_RComplete_Onatfloor @t31) @t400)) % 0.83/1.09 (assume @p417 (= (tptp.c_RComplete_Onatceiling @t7) @t211)) % 0.83/1.09 (assume @p418 (forall @t40 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t211 @t534))) % 0.83/1.09 (assume @p419 (forall @t288 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t534 (tptp.c_RComplete_Onatceiling @t89))))) % 0.83/1.09 (assume @p420 (forall @t40 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t534)))) % 0.83/1.09 (assume @p421 (= (tptp.c_RComplete_Onatceiling @t31) @t400)) % 0.83/1.09 (assume @p422 (forall @t40 (=> @t535 (= @t521 @t211)))) % 0.83/1.09 (assume @p423 (forall @t40 (=> @t522 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t536 @t38)))) % 0.83/1.09 (assume @p424 (forall @t538 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t38) @t107) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t537)))) % 0.83/1.09 (assume @p425 (forall @t523 (=> (= @t38 @t536) (= (tptp.c_RComplete_Onatfloor @t540) (tptp.hAPP (tptp.hAPP @t405 @t521) @t232))))) % 0.83/1.09 (assume @p426 (forall @t40 (=> @t535 (= @t534 @t211)))) % 0.83/1.09 (assume @p427 (forall @t538 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t541) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t534 @t107)))) % 0.83/1.09 (assume @p428 (forall @t529 (=> @t528 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t60 @t532) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t527 @t32))))) % 0.83/1.09 (assume @p429 (forall @t542 (=> (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 @t99) @t400) @t232) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t99 @t506)))) % 0.83/1.09 (assume @p430 (forall @t544 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t506 @t38) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t543) (= @t521 @t232))))) % 0.83/1.09 (assume @p431 (forall @t548 (=> @t300 (=> @t430 (=> @t202 (=> @t547 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t546 @t545))))))) % 0.83/1.09 (assume @p432 (forall @t548 (=> @t300 (=> @t430 (=> @t522 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t31) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t546 @t545))))))) % 0.83/1.09 (assume @p433 (forall @t544 (=> @t300 (=> @t202 @t550)))) % 0.83/1.09 (assume @p434 (forall @t276 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t551) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t509 @t506)))) % 0.83/1.09 (assume @p435 (forall @t276 (=> (= @t551 @t273) @t234))) % 0.83/1.09 (assume @p436 (forall @t271 (= (= @t552 @t211) (and @t445 @t301)))) % 0.83/1.09 (assume @p437 (forall @t442 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t273 @t211) @t273))) % 0.83/1.09 (assume @p438 (forall @t252 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t211 @t232) @t232))) % 0.83/1.09 (assume @p439 (forall @t276 (= @t554 @t553))) % 0.83/1.09 (assume @p440 (forall @t276 (= @t554 @t555))) % 0.83/1.09 (assume @p441 (forall @t276 (= @t553 @t555))) % 0.83/1.09 (assume @p442 (forall @t558 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t99) @t557))) % 0.83/1.09 (assume @p443 (forall @t384 (=> @t287 @t557))) % 0.83/1.09 (assume @p444 (forall (@list @t158 @t157) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t559 @t157)))) % 0.83/1.09 (assume @p445 (forall (@list @t157 @t158) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t158 @t157) @t157)))) % 0.83/1.09 (assume @p446 (forall @t562 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t561 @t560) @t270))) % 0.83/1.09 (assume @p447 (forall @t564 (=> @t456 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 @t563)))) % 0.83/1.09 (assume @p448 (forall @t564 (=> @t456 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 @t565)))) % 0.83/1.09 (assume @p449 (forall @t159 (=> @t456 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t567 @t566)))) % 0.83/1.09 (assume @p450 (forall @t571 (=> @t456 (=> @t570 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t567 @t569))))) % 0.83/1.09 (assume @p451 (forall (@list @t232 @t273 @t568 @t156) (=> @t570 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t273 @t568) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t156 @t232)) @t275)))) % 0.83/1.09 (assume @p452 (forall @t159 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t559 @t156) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 @t156)))) % 0.83/1.09 (assume @p453 (forall (@list @t265 @t488) (= (tptp.hBOOL (tptp.hAPP @t572 @t573)) (tptp.hBOOL (tptp.hAPP @t572 @t265))))) % 0.83/1.09 (assume @p454 (forall @t558 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t99) @t574))) % 0.83/1.09 (assume @p455 (forall @t384 (=> @t305 @t574))) % 0.83/1.09 (assume @p456 (forall @t286 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t232 @t551))) % 0.83/1.09 (assume @p457 (forall @t286 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t232 @t575))) % 0.83/1.09 (assume @p458 (forall @t271 (= @t269 (exists @t496 (= @t265 @t576))))) % 0.83/1.09 (assume @p459 (forall @t562 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t561 @t560) @t269))) % 0.83/1.09 (assume @p460 (forall @t564 (=> @t294 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157 @t563)))) % 0.83/1.09 (assume @p461 (forall @t564 (=> @t294 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157 @t565)))) % 0.83/1.09 (assume @p462 (forall @t159 (=> @t294 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t567 @t566)))) % 0.83/1.09 (assume @p463 (forall @t571 (=> @t294 (=> @t577 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t567 @t569))))) % 0.83/1.09 (assume @p464 (forall @t580 (=> @t579 @t349))) % 0.83/1.09 (assume @p465 (forall @t580 (=> @t579 @t274))) % 0.83/1.09 (assume @p466 (forall @t580 (=> @t579 (not (=> @t274 (not @t349)))))) % 0.83/1.09 (assume @p467 (forall (@list @t108 @t107 @t41) (=> @t71 (= @t582 @t581)))) % 0.83/1.09 (assume @p468 (forall @t585 (=> @t71 (= @t584 (tptp.c_Groups_Oplus__class_Oplus @t41 @t108 (tptp.c_Groups_Oplus__class_Oplus @t41 @t107 @t492)))))) % 0.83/1.09 (assume @p469 (forall @t585 (=> @t71 (= @t584 (tptp.c_Groups_Oplus__class_Oplus @t41 @t582 @t492))))) % 0.83/1.09 (assume @p470 (forall @t117 (=> @t71 @t589))) % 0.83/1.09 (assume @p471 (forall @t117 (=> @t71 (= @t588 (tptp.c_Groups_Oplus__class_Oplus @t41 @t582 @t110))))) % 0.83/1.09 (assume @p472 (forall @t591 (=> @t71 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t587 @t583) (tptp.c_Groups_Oplus__class_Oplus @t41 @t582 @t590))))) % 0.83/1.09 (assume @p473 (forall @t93 (=> @t52 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t594 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t50 @t592))))) % 0.83/1.09 (assume @p474 (forall @t597 (=> @t52 (=> @t596 (=> @t595 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t594 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t179 @t284))))))) % 0.83/1.09 (assume @p475 (forall (@list @t338 @t110 @t44 @t107 @t41) (=> @t599 (= (tptp.c_Groups_Oplus__class_Oplus @t47 @t238 (tptp.c_Polynomial_OpCons @t41 @t110 @t338)) (tptp.c_Polynomial_OpCons @t41 @t587 @t598))))) % 0.83/1.09 (assume @p476 (forall (@list @t232 @t338 @t44 @t41) (=> @t599 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t598) @t232) (tptp.c_Groups_Oplus__class_Oplus @t41 @t250 (tptp.hAPP @t341 @t232)))))) % 0.83/1.09 (assume @p477 (forall @t117 (=> (tptp.class_Groups_Oab__semigroup__add @t41) @t589))) % 0.83/1.09 (assume @p478 (forall (@list @t255 @t62 @t60 @t41) (=> @t603 (= (= @t602 @t601) @t600)))) % 0.83/1.09 (assume @p479 (forall (@list @t255 @t60 @t62 @t41) (=> @t603 (= (= @t605 @t604) @t600)))) % 0.83/1.09 (assume @p480 (forall @t117 (=> @t603 @t606))) % 0.83/1.09 (assume @p481 (forall @t117 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t41) @t606))) % 0.83/1.09 (assume @p482 (forall @t113 (=> @t603 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t110 @t107) @t581) @t111)))) % 0.83/1.09 (assume @p483 (forall @t608 (=> @t74 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t598) @t38) (tptp.c_Groups_Oplus__class_Oplus @t41 @t46 @t607))))) % 0.83/1.09 (assume @p484 (forall @t276 (= @t551 @t575))) % 0.83/1.09 (assume @p485 (forall @t384 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t556) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t89 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t99))))) % 0.83/1.09 (assume @p486 (forall @t609 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t551 @t156) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t273 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t232 @t156))))) % 0.83/1.09 (assume @p487 (forall @t562 (= (= @t561 @t560) @t267))) % 0.83/1.09 (assume @p488 (forall @t610 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t266 @t488) @t573) @t267))) % 0.83/1.09 (assume @p489 (forall @t384 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t99 @t38) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t99 @t89))))) % 0.83/1.09 (assume @p490 (forall @t117 (=> @t71 (=> @t292 (=> @t289 (tptp.hBOOL (tptp.hAPP @t264 @t586))))))) % 0.83/1.09 (assume @p491 (forall @t140 (=> @t83 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t149 @t587) @t110)))) % 0.83/1.09 (assume @p492 (forall @t140 (=> @t83 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t107 (tptp.c_Groups_Oplus__class_Oplus @t41 @t149 @t110)) @t110)))) % 0.83/1.09 (assume @p493 (forall @t140 (=> @t83 (= @t611 (tptp.c_Groups_Oplus__class_Oplus @t41 @t169 @t149))))) % 0.83/1.09 (assume @p494 (forall @t140 (=> @t197 (= @t611 (tptp.c_Groups_Oplus__class_Oplus @t41 @t149 @t169))))) % 0.83/1.09 (assume @p495 (forall @t615 (=> @t614 (=> @t613 @t137)))) % 0.83/1.09 (assume @p496 (forall @t617 (=> @t614 (=> @t616 @t137)))) % 0.83/1.09 (assume @p497 (forall @t591 (=> @t621 (=> @t137 @t620)))) % 0.83/1.09 (assume @p498 (forall @t117 (=> @t621 (=> @t137 @t613)))) % 0.83/1.09 (assume @p499 (forall @t117 (=> @t621 (=> @t137 @t616)))) % 0.83/1.09 (assume @p500 (forall @t623 (=> @t614 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t604 @t622) @t172)))) % 0.83/1.09 (assume @p501 (forall @t625 (=> @t614 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t601 @t624) @t172)))) % 0.83/1.09 (assume @p502 (forall @t615 (=> @t614 (=> @t626 @t115)))) % 0.83/1.09 (assume @p503 (forall @t617 (=> @t614 (=> @t627 @t115)))) % 0.83/1.09 (assume @p504 (forall @t591 (=> @t629 (=> @t115 (=> @t628 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t582 @t590)))))) % 0.83/1.09 (assume @p505 (forall @t117 (=> @t629 (=> @t115 @t626)))) % 0.83/1.09 (assume @p506 (forall @t117 (=> @t629 (=> @t115 @t627)))) % 0.83/1.09 (assume @p507 (forall @t623 (=> @t614 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t604 @t622) @t170)))) % 0.83/1.09 (assume @p508 (forall @t625 (=> @t614 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t601 @t624) @t170)))) % 0.83/1.09 (assume @p509 (forall @t150 (=> @t71 @t630))) % 0.83/1.09 (assume @p510 (forall @t150 (=> @t71 @t631))) % 0.83/1.09 (assume @p511 (forall @t171 (=> @t632 (= (= @t62 @t605) @t80)))) % 0.83/1.09 (assume @p512 (forall @t150 (=> @t633 @t630))) % 0.83/1.09 (assume @p513 (forall @t150 (=> @t599 @t630))) % 0.83/1.09 (assume @p514 (forall @t82 (=> @t81 (= (= @t69 @t634) @t80)))) % 0.83/1.09 (assume @p515 (forall @t150 (=> @t633 @t631))) % 0.83/1.09 (assume @p516 (forall @t150 (=> @t599 @t631))) % 0.83/1.09 (assume @p517 (forall @t252 (= (tptp.c_NthRoot_Oroot @t232 @t7) @t7))) % 0.83/1.09 (assume @p518 (forall @t288 (=> @t220 (=> @t635 (tptp.c_RealDef_Opositive (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t89)))))) % 0.83/1.09 (assume @p519 (forall @t40 (= (tptp.c_NthRoot_Oroot @t438 @t38) @t38))) % 0.83/1.09 (assume @p520 (forall @t638 (=> @t303 (= (= @t637 @t636) @t54)))) % 0.83/1.09 (assume @p521 (forall @t640 (=> @t334 (=> @t300 (= @t639 (tptp.c_NthRoot_Oroot @t232 (tptp.c_NthRoot_Oroot @t273 @t38))))))) % 0.83/1.09 (assume @p522 (forall @t140 (=> @t643 (=> @t642 (=> @t641 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t587 @t69)))))) % 0.83/1.09 (assume @p523 (forall (@list @t107 @t110 @t108 @t41) (=> @t643 (=> @t645 (=> @t112 @t644))))) % 0.83/1.09 (assume @p524 (forall @t117 (=> @t643 (=> @t356 (=> @t119 @t644))))) % 0.83/1.09 (assume @p525 (forall @t124 (=> @t643 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t32) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t53) (= @t648 @t647)))))) % 0.83/1.09 (assume @p526 (forall @t140 (=> @t643 (=> @t356 (=> @t372 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t587)))))) % 0.83/1.09 (assume @p527 (forall @t82 (=> @t81 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t634 @t69) @t86)))) % 0.83/1.09 (assume @p528 (forall @t82 (=> @t81 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t634) @t85)))) % 0.83/1.09 (assume @p529 (forall @t117 (=> @t174 (=> @t198 @t650)))) % 0.83/1.09 (assume @p530 (forall @t140 (=> @t643 (=> @t199 @t653)))) % 0.83/1.09 (assume @p531 (forall @t140 (=> @t643 (=> @t198 @t656)))) % 0.83/1.09 (assume @p532 (forall @t82 (=> @t81 @t657))) % 0.83/1.09 (assume @p533 (forall @t82 (=> @t81 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t634) @t87)))) % 0.83/1.09 (assume @p534 (forall @t591 (=> @t621 (=> @t137 (=> @t628 @t618))))) % 0.83/1.09 (assume @p535 (forall @t591 (=> @t621 (=> @t115 @t620)))) % 0.83/1.09 (assume @p536 (forall @t150 (=> @t174 (tptp.c_Orderings_Oord__class_Oless @t41 @t107 @t658)))) % 0.83/1.09 (assume @p537 (forall @t140 (=> @t83 (=> (= @t587 @t69) (= @t149 @t110))))) % 0.83/1.09 (assume @p538 (forall @t124 (=> @t83 (= @t648 (= @t53 @t177))))) % 0.83/1.09 (assume @p539 (forall @t150 (=> @t197 @t659))) % 0.83/1.09 (assume @p540 (forall @t150 (=> @t83 @t659))) % 0.83/1.09 (assume @p541 (forall @t65 (=> @t83 (= @t148 (= @t602 @t69))))) % 0.83/1.09 (assume @p542 (forall @t150 (=> @t83 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t107 @t149) @t69)))) % 0.83/1.09 (assume @p543 (forall @t538 (=> @t522 (= (tptp.c_RComplete_Onatfloor @t660) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t521 @t107))))) % 0.83/1.09 (assume @p544 (forall @t538 (=> @t522 (= (tptp.c_RComplete_Onatceiling @t660) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t534 @t107))))) % 0.83/1.09 (assume @p545 (forall @t271 (= (= @t552 @t438) @t662))) % 0.83/1.09 (assume @p546 (forall @t271 (= (= @t438 @t552) @t662))) % 0.83/1.09 (assume @p547 (forall @t271 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t552) (or @t663 @t303)))) % 0.83/1.09 (assume @p548 (forall @t664 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t273))))) % 0.83/1.09 (assume @p549 (forall @t664 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t273 @t157))))) % 0.83/1.09 (assume @p550 (forall @t271 (= @t270 (exists @t496 (= @t265 (tptp.c_Nat_OSuc @t576)))))) % 0.83/1.09 (assume @p551 (forall @t252 (= @t435 @t665))) % 0.83/1.09 (assume @p552 (forall @t252 (= @t435 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t400 @t232)))) % 0.83/1.09 (assume @p553 (forall @t529 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t32 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t60)) @t7) (= @t32 @t60)))) % 0.83/1.09 (assume @p554 (forall @t58 (= (= @t666 @t7) (= @t53 @t34)))) % 0.83/1.09 (assume @p555 (forall @t40 (=> @t522 (= (tptp.c_RComplete_Onatfloor @t667) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t521 @t400))))) % 0.83/1.09 (assume @p556 (forall @t40 (=> @t522 (= (tptp.c_RComplete_Onatceiling @t667) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t534 @t400))))) % 0.83/1.09 (assume @p557 (forall (@list @t38 @t260 @t44 @t41) (=> @t74 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t331) @t38) (tptp.hAPP @t45 (tptp.c_Groups_Oplus__class_Oplus @t41 @t260 @t38)))))) % 0.83/1.09 (assume @p558 (forall @t669 (=> @t300 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t546 @t668))))) % 0.83/1.09 (assume @p559 (forall @t638 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t637 @t636) @t56)))) % 0.83/1.09 (assume @p560 (forall @t671 (=> @t303 (= (= @t637 @t7) @t670)))) % 0.83/1.09 (assume @p561 (forall @t669 (=> @t300 @t673))) % 0.83/1.09 (assume @p562 (forall @t638 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t637 @t636) @t57)))) % 0.83/1.09 (assume @p563 (forall (@list @t156 @t38 @t232) (=> @t300 (= (tptp.c_NthRoot_Oroot @t232 (tptp.hAPP @t539 @t156)) (tptp.hAPP @t549 @t156))))) % 0.83/1.09 (assume @p564 (forall @t671 (=> @t303 (= (= @t637 @t31) @t674)))) % 0.83/1.09 (assume @p565 (forall @t252 (=> @t300 (= (tptp.c_NthRoot_Oroot @t232 @t31) @t31)))) % 0.83/1.09 (assume @p566 (forall @t140 (=> @t643 (=> @t198 (=> @t372 @t654))))) % 0.83/1.09 (assume @p567 (forall @t140 (=> @t643 (=> @t356 @t656)))) % 0.83/1.09 (assume @p568 (forall @t117 (=> @t643 (=> @t198 (=> @t119 @t649))))) % 0.83/1.09 (assume @p569 (forall @t117 (=> @t643 (=> @t356 @t650)))) % 0.83/1.09 (assume @p570 (forall @t140 (=> @t643 (=> @t199 (=> @t641 @t651))))) % 0.83/1.09 (assume @p571 (forall @t140 (=> @t643 (=> @t642 @t653)))) % 0.83/1.09 (assume @p572 (forall @t544 (=> @t300 (= (tptp.c_NthRoot_Oroot @t232 @t219) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t546))))) % 0.83/1.09 (assume @p573 (forall @t68 (=> @t174 (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t675)))) % 0.83/1.09 (assume @p574 (forall @t544 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t506 @t38) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t543) (= @t534 @t665))))) % 0.83/1.09 (assume @p575 (forall @t58 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t666) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t34 @t53)))) % 0.83/1.09 (assume @p576 (forall @t58 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t666 @t7) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t34)))) % 0.83/1.09 (assume @p577 (forall @t58 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t666) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t34 @t53)))) % 0.83/1.09 (assume @p578 (forall @t58 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t666 @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t34)))) % 0.83/1.09 (assume @p579 (forall @t252 (= @t512 @t543))) % 0.83/1.09 (assume @p580 (forall @t544 (=> @t300 (=> @t522 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t546))))) % 0.83/1.09 (assume @p581 (forall @t671 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t637 @t7) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t32 @t7))))) % 0.83/1.09 (assume @p582 (forall @t676 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t636) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t53))))) % 0.83/1.09 (assume @p583 (forall @t544 (=> @t300 (=> @t202 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t546))))) % 0.83/1.09 (assume @p584 (forall @t671 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t637 @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t32 @t7))))) % 0.83/1.09 (assume @p585 (forall @t676 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t636) @t677)))) % 0.83/1.09 (assume @p586 (forall @t548 (=> @t300 (=> @t430 (=> @t678 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t545 @t546)))))) % 0.83/1.09 (assume @p587 (forall @t671 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t637 @t31) @t524)))) % 0.83/1.09 (assume @p588 (forall @t676 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t31 @t636) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t31 @t53))))) % 0.83/1.09 (assume @p589 (forall @t548 (=> @t300 (=> @t430 (=> @t679 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t545 @t546)))))) % 0.83/1.09 (assume @p590 (forall @t671 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t637 @t31) @t33)))) % 0.83/1.09 (assume @p591 (forall @t676 (=> @t303 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t31 @t636) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t31 @t53))))) % 0.83/1.09 (assume @p592 (forall @t523 (=> @t202 (= (tptp.c_NthRoot_Oroot @t435 (tptp.hAPP @t539 @t435)) @t38)))) % 0.83/1.09 (assume @p593 (forall @t452 (= @t282 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t508 @t31) @t507)))) % 0.83/1.09 (assume @p594 (forall @t452 (= @t458 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t508 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t507 @t31))))) % 0.83/1.09 (assume @p595 (forall @t40 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t536 @t31)))) % 0.83/1.09 (assume @p596 (forall @t669 (=> @t300 (=> @t522 @t673)))) % 0.83/1.09 (assume @p597 (forall (@list @t680 @t681) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t681) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t680) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 (tptp.c_NthRoot_Oroot @t681 @t680)))))) % 0.83/1.09 (assume @p598 (forall (@list @t38 @t89 @t232) (=> @t300 (=> @t682 (=> (= (tptp.hAPP (tptp.hAPP @t322 @t89) @t232) @t38) (= @t546 @t89)))))) % 0.83/1.09 (assume @p599 (forall @t544 (=> @t300 (=> @t522 @t550)))) % 0.83/1.09 (assume @p600 (forall @t544 (=> @t300 (=> @t522 (= (tptp.c_NthRoot_Oroot @t232 @t540) @t38))))) % 0.83/1.09 (assume @p601 (forall @t82 (=> @t173 @t657))) % 0.83/1.09 (assume @p602 (forall @t231 (=> @t52 (= @t230 (exists @t496 (and @t683 (exists @t6 (forall @t226 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t41 (tptp.c_Groups_Oplus__class_Oplus @t41 @t224 (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t3))) @t494))))))))) % 0.83/1.09 (assume @p603 (forall @t231 (=> @t52 (= @t230 (exists @t496 (and @t683 (exists @t502 (forall @t226 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t41 (tptp.c_Groups_Oplus__class_Oplus @t41 @t224 (tptp.c_Groups_Ouminus__class_Ouminus @t41 (tptp.hAPP @t223 @t499)))) @t494))))))))) % 0.83/1.09 (assume @p604 (forall (@list @t684 @t488) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t488 @t684) (exists @t226 (= @t684 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t488 @t222)))))) % 0.83/1.09 (assume @p605 (forall @t218 (=> @t599 (= (tptp.c_Groups_Oplus__class_Oplus @t47 @t44 @t72) @t44)))) % 0.83/1.09 (assume @p606 (forall @t685 (=> @t599 (= (tptp.c_Groups_Oplus__class_Oplus @t47 @t72 @t338) @t338)))) % 0.83/1.09 (assume @p607 (forall @t344 (=> @t173 (=> @t216 (=> @t686 (tptp.c_Polynomial_Opos__poly @t41 @t598)))))) % 0.83/1.09 (assume @p608 (forall (@list @t44 @t338 @t41) (=> @t599 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t340 @t315) (= @t687 @t315))))) % 0.83/1.09 (assume @p609 (forall @t344 (=> @t599 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t315 @t340) (= @t687 @t340))))) % 0.83/1.09 (assume @p610 (forall @t688 (=> @t599 (=> @t316 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t340 @t232) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t687 @t232)))))) % 0.83/1.09 (assume @p611 (forall @t688 (=> @t599 (=> @t318 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t340 @t232) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t687 @t232)))))) % 0.83/1.10 (assume @p612 (forall @t689 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t151) (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 @t151 @t99)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t99))))) % 0.83/1.10 (assume @p613 (forall @t276 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 @t273) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 @t232) (=> @t691 (=> @t690 @t277)))))) % 0.83/1.10 (assume @p614 (forall @t276 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t692 @t273) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t273 @t232) (not @t690))))) % 0.83/1.10 (assume @p615 (forall @t542 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t468 @t99) @t232)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t692 @t232) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t99 @t232))))) % 0.83/1.10 (assume @p616 (forall @t82 (=> @t81 (= (= @t634 @t69) @t80)))) % 0.83/1.10 (assume @p617 (forall (@list @t44 @t108 @t41) (=> @t298 (= (tptp.c_Groups_Oplus__class_Oplus @t47 (tptp.hAPP (tptp.hAPP @t693 (tptp.c_Polynomial_OpCons @t41 (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t108) @t237)) @t261) (tptp.c_Polynomial_OpCons @t41 @t262 @t72)) @t44)))) % 0.83/1.10 (assume @p618 (forall @t523 (=> @t522 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t695 @t38) @t31) (tptp.hAPP (tptp.hAPP @t322 @t667) @t232))))) % 0.83/1.10 (assume @p619 (forall (@list @t265 @t279) (=> @t697 (=> (tptp.hBOOL @t280) (exists @t496 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t494 @t265) (forall @t476 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t473 @t494) (not (tptp.hBOOL (tptp.hAPP @t279 @t473))))) (tptp.hBOOL (tptp.hAPP @t279 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t494 @t400))))))))) % 0.83/1.10 (assume @p620 (forall @t701 (= @t700 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t698 @t35)))) % 0.83/1.10 (assume @p621 (forall @t701 (= @t700 (or @t702 (= @t698 @t35))))) % 0.83/1.10 (assume @p622 (forall @t701 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t698 @t699) @t35) @t702))) % 0.83/1.10 (assume @p623 (forall @t703 (= (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 @t699 @t35) @t35) @t692) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t35 @t692)))) % 0.83/1.10 (assume @p624 (forall @t705 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 @t99) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t692 @t704)))) % 0.83/1.10 (assume @p625 (forall @t689 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t151 @t99) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t151 @t699) @t99)))) % 0.83/1.10 (assume @p626 (forall @t106 (=> @t71 (= (tptp.hAPP @t707 (tptp.c_Groups_Oplus__class_Oplus @t41 @t89 @t99)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t708 (tptp.hAPP @t707 @t99)))))) % 0.83/1.10 (assume @p627 (forall (@list @t711 @t255 @t62 @t60 @t41) (=> @t632 (= (and (not @t147) (not (= @t255 @t711))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t713 (tptp.hAPP @t709 @t711)) (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t712 @t711) @t710))))))) % 0.83/1.10 (assume @p628 (forall @t117 (=> @t71 @t719))) % 0.83/1.10 (assume @p629 (forall (@list @t110 @t273 @t107 @t41) (=> @t71 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t720 (tptp.hAPP @t714 @t273)) (tptp.hAPP @t718 @t273))))) % 0.83/1.10 (assume @p630 (forall (@list @t35 @t32 @t53 @t698 @t41) (=> @t632 (= (= (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t722 @t53) (tptp.hAPP @t721 @t35)) (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t722 @t35) (tptp.hAPP @t721 @t53))) (or (= @t698 @t32) (= @t53 @t35)))))) % 0.83/1.10 (assume @p631 (forall @t705 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t704 @t99) @t692)))) % 0.83/1.10 (assume @p632 (forall @t705 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t692 @t99) @t99))) % 0.83/1.10 (assume @p633 (forall @t705 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t99 @t692) @t99))) % 0.83/1.10 (assume @p634 (forall @t705 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t723 @t99) @t692))) % 0.83/1.10 (assume @p635 (forall @t728 (=> @t727 (= (tptp.hAPP @t716 (tptp.c_Groups_Oplus__class_Oplus @t41 @t110 @t724)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t726 @t725))))) % 0.83/1.10 (assume @p636 (forall @t733 (=> @t727 (= (tptp.hAPP @t730 @t593) (tptp.c_Groups_Oplus__class_Oplus @t41 @t732 @t731))))) % 0.83/1.10 (assume @p637 (forall @t736 (=> @t727 (= (tptp.hAPP (tptp.hAPP @t706 (tptp.c_Groups_Oplus__class_Oplus @t41 @t107 @t734)) @t110) (tptp.c_Groups_Oplus__class_Oplus @t41 @t726 @t735))))) % 0.83/1.10 (assume @p638 (forall (@list @t179 @t338 @t44 @t41) (=> @t74 (= (tptp.hAPP (tptp.hAPP @t693 @t598) @t179) (tptp.c_Groups_Oplus__class_Oplus @t47 (tptp.hAPP @t738 @t179) (tptp.hAPP @t737 @t179)))))) % 0.83/1.10 (assume @p639 (forall @t743 (=> @t727 (= (tptp.hAPP (tptp.hAPP @t706 @t593) @t739) (tptp.c_Groups_Oplus__class_Oplus @t41 @t742 @t741))))) % 0.83/1.10 (assume @p640 (forall @t748 (= (tptp.hAPP (tptp.hAPP @t694 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t746 @t744)) @t151) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t747 @t151) (tptp.hAPP @t745 @t151))))) % 0.83/1.10 (assume @p641 (forall @t117 (=> (tptp.class_Rings_Ocomm__semiring @t41) @t719))) % 0.83/1.10 (assume @p642 (forall (@list @t108 @t110 @t749 @t107 @t41) (=> (tptp.class_Rings_Osemiring @t41) (= (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t716 @t749) (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t714 @t749) @t108)) (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t718 @t749) @t108))))) % 0.83/1.10 (assume @p643 (forall @t159 (=> @t750 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t156 @t157) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t156 @t158))))) % 0.83/1.10 (assume @p644 (forall @t159 (=> @t751 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t157 @t156) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t158 @t156))))) % 0.83/1.10 (assume @p645 (forall (@list @t99 @t753 @t151 @t754) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t754 @t151) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t753 @t99) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t754 @t753) @t752))))) % 0.83/1.10 (assume @p646 (forall (@list @t698 @t35) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t35 @t698) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t35 @t698) (not (= @t35 @t698)))))) % 0.83/1.10 (assume @p647 (forall @t288 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t38 @t89) @t103 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t89 @t38)))) % 0.83/1.10 (assume @p648 (forall @t155 (=> @t756 (=> @t755 @t152)))) % 0.83/1.10 (assume @p649 (forall @t159 (=> @t750 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t158 @t156) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t157 @t156))))) % 0.83/1.10 (assume @p650 (forall @t155 (or @t756 @t755))) % 0.83/1.10 (assume @p651 (forall @t160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t151 @t151))) % 0.83/1.10 (assume @p652 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t692) @t692)) % 0.83/1.10 (assume @p653 (not (= @t692 @t699))) % 0.83/1.10 (assume @p654 (forall @t703 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t699 @t35) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t692 @t35)))) % 0.83/1.10 (assume @p655 (forall (@list @t157) (and (=> @t759 (= @t757 @t692)) (=> (not @t759) (and (=> @t758 (= @t757 @t699)) (=> (not @t758) (= @t757 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t699)))))))) % 0.83/1.10 (assume @p656 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t692 @t699)) % 0.83/1.10 (assume @p657 (forall @t344 (=> @t173 (=> @t216 (=> @t686 (tptp.c_Polynomial_Opos__poly @t41 @t760)))))) % 0.83/1.10 (assume @p658 (forall @t288 (=> @t220 (=> @t635 (tptp.c_RealDef_Opositive @t762))))) % 0.83/1.10 (assume @p659 (forall @t344 (=> @t74 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t760) @t763) (tptp.hAPP (tptp.hAPP @t706 @t343) @t342))))) % 0.83/1.10 (assume @p660 (forall @t93 (=> @t727 (= (tptp.hAPP (tptp.hAPP @t706 @t51) @t89) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t708))))) % 0.83/1.10 (assume @p661 (forall @t140 (=> @t727 (= @t766 @t764)))) % 0.83/1.10 (assume @p662 (forall (@list @t38 @t729 @t41) (=> @t727 (= (tptp.hAPP @t730 @t51) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t732))))) % 0.83/1.10 (assume @p663 (forall @t140 (=> @t727 (= @t767 @t764)))) % 0.83/1.10 (assume @p664 (forall @t65 (=> @t165 (= (= (tptp.hAPP @t712 @t60) (tptp.hAPP @t709 @t62)) (or @t147 @t148))))) % 0.83/1.10 (assume @p665 (forall @t140 (=> @t768 (= (tptp.hAPP @t765 @t169) @t726)))) % 0.83/1.10 (assume @p666 (forall @t140 (=> @t768 (= @t766 @t767)))) % 0.83/1.10 (assume @p667 (forall @t140 (=> @t768 (= @t764 @t766)))) % 0.83/1.10 (assume @p668 (forall @t140 (=> @t768 (= @t764 @t767)))) % 0.83/1.10 (assume @p669 (forall @t117 (=> @t71 (=> @t769 @t291)))) % 0.83/1.10 (assume @p670 (forall @t117 (=> @t71 (=> @t769 @t289)))) % 0.83/1.10 (assume @p671 (forall (@list @t156 @t110 @t107 @t41) (=> @t770 (=> (= @t107 (tptp.hAPP @t714 @t156)) (tptp.hBOOL (tptp.hAPP @t290 @t107)))))) % 0.83/1.10 (assume @p672 (forall @t591 (=> @t71 (=> @t292 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t263 @t108) @t492)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t263 @t717) @t771))))))) % 0.83/1.10 (assume @p673 (forall @t617 (=> @t71 (=> @t289 @t772)))) % 0.83/1.10 (assume @p674 (forall @t117 (=> @t71 (=> @t292 @t772)))) % 0.83/1.10 (assume @p675 (forall @t140 (=> @t71 (tptp.hBOOL (tptp.hAPP @t264 @t773))))) % 0.83/1.10 (assume @p676 (forall @t140 (=> @t71 (tptp.hBOOL (tptp.hAPP @t264 @t726))))) % 0.83/1.10 (assume @p677 (forall (@list @t338 @t89 @t38 @t41) (=> @t71 (= (tptp.hAPP (tptp.hAPP @t324 @t708) @t338) (tptp.hAPP @t775 (tptp.hAPP @t416 @t338)))))) % 0.83/1.10 (assume @p678 (forall @t357 (=> @t777 (= (tptp.hAPP (tptp.hAPP @t324 @t726) @t232) (tptp.hAPP @t776 @t352))))) % 0.83/1.10 (assume @p679 (forall @t320 (=> @t413 (= @t779 @t778)))) % 0.83/1.10 (assume @p680 (forall @t781 (=> @t780 (= (= (tptp.hAPP (tptp.hAPP @t694 @t60) @t255) (tptp.hAPP (tptp.hAPP @t694 @t62) @t255)) @t147)))) % 0.83/1.10 (assume @p681 (forall @t781 (=> @t780 (= (= (tptp.hAPP @t782 @t60) (tptp.hAPP @t782 @t62)) @t147)))) % 0.83/1.10 (assume @p682 (forall @t140 (=> @t71 (= @t726 @t773)))) % 0.83/1.10 (assume @p683 (forall @t790 (=> @t71 (= @t789 (tptp.hAPP @t787 (tptp.hAPP @t785 @t783)))))) % 0.83/1.10 (assume @p684 (forall @t790 (=> @t71 (= @t789 (tptp.hAPP @t791 @t783))))) % 0.83/1.10 (assume @p685 (forall @t796 (=> @t71 (= @t795 (tptp.hAPP @t785 (tptp.hAPP @t793 @t786)))))) % 0.83/1.10 (assume @p686 (forall @t796 (=> @t71 (= @t795 (tptp.hAPP @t791 @t792))))) % 0.83/1.10 (assume @p687 (forall @t798 (=> @t71 (= @t797 (tptp.hAPP @t785 (tptp.hAPP @t793 @t788)))))) % 0.83/1.10 (assume @p688 (forall @t798 (=> @t71 (= @t797 (tptp.hAPP @t787 (tptp.hAPP @t794 @t783)))))) % 0.83/1.10 (assume @p689 (forall @t798 (=> @t71 (= @t797 (tptp.hAPP @t791 (tptp.hAPP @t793 @t783)))))) % 0.83/1.10 (assume @p690 (forall @t155 (= (tptp.hAPP @t799 @t151) (tptp.hAPP (tptp.hAPP @t694 @t151) @t99)))) % 0.83/1.10 (assume @p691 (forall @t117 (=> (tptp.class_Groups_Oab__semigroup__mult @t41) (= (tptp.hAPP (tptp.hAPP @t706 @t726) @t108) (tptp.hAPP @t716 @t715))))) % 0.83/1.10 (assume @p692 (forall @t801 (= (tptp.hAPP (tptp.hAPP @t694 (tptp.hAPP @t747 @t744)) @t800) (tptp.hAPP @t747 (tptp.hAPP @t745 @t800))))) % 0.83/1.10 (assume @p693 (forall @t608 (=> @t74 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t760) @t38) (tptp.hAPP (tptp.hAPP @t706 @t46) @t607))))) % 0.83/1.10 (assume @p694 (forall @t93 (=> @t328 (= @t803 @t802)))) % 0.83/1.10 (assume @p695 (forall @t150 (=> @t805 (= @t804 @t107)))) % 0.83/1.10 (assume @p696 (forall @t43 (=> @t805 (= @t806 @t38)))) % 0.83/1.10 (assume @p697 (forall @t140 (=> @t805 (= (tptp.hAPP @t716 @t726) @t726)))) % 0.83/1.10 (assume @p698 (forall @t150 (=> @t71 @t807))) % 0.83/1.10 (assume @p699 (forall @t150 (=> @t71 @t808))) % 0.83/1.10 (assume @p700 (forall @t150 (=> @t413 @t808))) % 0.83/1.10 (assume @p701 (forall @t150 (=> @t777 @t808))) % 0.83/1.10 (assume @p702 (forall @t150 (=> @t413 @t807))) % 0.83/1.10 (assume @p703 (forall @t150 (=> @t777 @t807))) % 0.83/1.10 (assume @p704 (forall @t150 (=> @t71 @t810))) % 0.83/1.10 (assume @p705 (forall @t150 (=> @t71 @t811))) % 0.83/1.10 (assume @p706 (forall (@list @t110 @t41) (=> @t727 (= (tptp.hAPP @t809 @t110) @t69)))) % 0.83/1.10 (assume @p707 (forall @t491 (=> @t727 (= (tptp.hAPP @t809 @t89) @t69)))) % 0.83/1.10 (assume @p708 (forall @t150 (=> @t727 @t811))) % 0.83/1.10 (assume @p709 (forall @t43 (=> @t727 (= (tptp.hAPP @t707 @t69) @t69)))) % 0.83/1.10 (assume @p710 (forall @t150 (=> @t423 @t810))) % 0.83/1.10 (assume @p711 (forall @t150 (=> @t423 @t811))) % 0.83/1.10 (assume @p712 (forall @t65 (=> (tptp.class_Rings_Oring__no__zero__divisors @t41) (= (= @t812 @t69) (or @t80 (= @t62 @t69)))))) % 0.83/1.10 (assume @p713 (forall @t140 (=> @t422 (=> @t414 (=> (not @t814) (not @t813)))))) % 0.83/1.10 (assume @p714 (forall @t140 (=> @t422 (=> @t813 (or @t295 @t814))))) % 0.83/1.10 (assume @p715 (forall @t597 (=> @t727 (=> @t596 (=> @t595 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t803 (tptp.hAPP (tptp.hAPP @t694 @t179) @t284))))))) % 0.83/1.10 (assume @p716 (forall @t93 (=> @t727 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t803 @t802)))) % 0.83/1.10 (assume @p717 (forall @t218 (=> @t74 (= (tptp.hAPP @t738 @t72) @t72)))) % 0.83/1.10 (assume @p718 (forall @t685 (=> @t74 (= (tptp.hAPP (tptp.hAPP @t693 @t72) @t338) @t72)))) % 0.83/1.10 (assume @p719 (forall @t705 (= (tptp.hAPP (tptp.hAPP @t694 @t31) @t99) @t99))) % 0.83/1.10 (assume @p720 (forall @t140 (=> @t173 (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t726) (tptp.hAPP (tptp.hAPP @t706 @t192) (tptp.c_Groups_Osgn__class_Osgn @t41 @t110)))))) % 0.83/1.10 (assume @p721 (forall @t93 (=> @t328 (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t708) (tptp.hAPP (tptp.hAPP @t706 @t182) (tptp.c_Groups_Osgn__class_Osgn @t41 @t89)))))) % 0.83/1.10 (assume @p722 (forall @t140 (=> @t816 (=> (or (and @t356 @t641) (and @t642 @t372)) @t815)))) % 0.83/1.10 (assume @p723 (forall @t140 (=> @t818 (=> (or (and @t356 @t372) (and @t642 @t641)) @t817)))) % 0.83/1.10 (assume @p724 (forall @t591 (=> @t820 (=> @t115 (=> @t628 (=> @t372 @t819)))))) % 0.83/1.10 (assume @p725 (forall @t591 (=> @t820 (=> @t115 (=> @t628 (=> @t356 @t819)))))) % 0.83/1.10 (assume @p726 (forall @t113 (=> @t818 (=> @t112 (=> @t825 @t824))))) % 0.83/1.10 (assume @p727 (forall @t113 (=> @t818 (=> @t112 (=> @t825 @t826))))) % 0.83/1.10 (assume @p728 (forall @t117 (=> (tptp.class_Rings_Oordered__comm__semiring @t41) @t827))) % 0.83/1.10 (assume @p729 (forall @t117 (=> @t820 @t827))) % 0.83/1.10 (assume @p730 (forall @t117 (=> @t820 (=> @t115 (=> @t645 @t826))))) % 0.83/1.10 (assume @p731 (forall @t140 (=> @t818 (=> @t642 (=> @t641 @t817))))) % 0.83/1.10 (assume @p732 (forall @t140 (=> @t816 (=> @t642 (=> @t372 @t815))))) % 0.83/1.10 (assume @p733 (forall @t140 (=> @t816 (=> @t356 (=> @t641 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t773 @t69)))))) % 0.83/1.10 (assume @p734 (forall @t140 (=> @t816 (=> @t356 (=> @t641 @t815))))) % 0.83/1.10 (assume @p735 (forall @t140 (=> @t816 (=> @t356 (=> @t372 @t817))))) % 0.83/1.10 (assume @p736 (forall @t65 (=> @t830 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t812 @t69) (or (and @t85 @t829) (and @t86 @t828)))))) % 0.83/1.10 (assume @p737 (forall @t65 (=> @t830 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t812) (or (and @t85 @t828) (and @t86 @t829)))))) % 0.83/1.10 (assume @p738 (forall @t150 (=> @t831 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t804)))) % 0.83/1.10 (assume @p739 (forall @t113 (=> @t830 (=> @t135 (=> @t833 @t832))))) % 0.83/1.10 (assume @p740 (forall @t113 (=> @t830 (=> @t135 (=> @t833 @t834))))) % 0.83/1.10 (assume @p741 (forall @t117 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t41) @t836))) % 0.83/1.10 (assume @p742 (forall @t117 (=> @t837 @t836))) % 0.83/1.10 (assume @p743 (forall @t117 (=> @t837 (=> @t137 (=> @t835 @t834))))) % 0.83/1.10 (assume @p744 (forall @t140 (=> @t830 (=> @t199 (=> @t652 @t838))))) % 0.83/1.10 (assume @p745 (forall @t140 (=> @t837 (=> @t199 (=> @t655 @t839))))) % 0.83/1.10 (assume @p746 (forall @t623 (=> @t830 (=> @t845 (= @t844 @t840))))) % 0.83/1.10 (assume @p747 (forall @t139 (=> @t837 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t773) @t846)))) % 0.83/1.10 (assume @p748 (forall @t140 (=> @t837 (=> @t838 @t846)))) % 0.83/1.10 (assume @p749 (forall @t140 (=> @t837 (=> @t198 (=> @t652 (tptp.c_Orderings_Oord__class_Oless @t41 @t773 @t69)))))) % 0.83/1.10 (assume @p750 (forall @t140 (=> @t837 (=> @t198 (=> @t652 @t839))))) % 0.83/1.10 (assume @p751 (forall @t140 (=> @t837 (=> @t198 (=> @t655 @t838))))) % 0.83/1.10 (assume @p752 (forall @t623 (=> @t830 (=> @t847 (= @t844 @t172))))) % 0.83/1.10 (assume @p753 (forall @t623 (=> @t830 (= @t844 @t848)))) % 0.83/1.10 (assume @p754 (forall @t625 (=> @t830 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t713 @t710) @t848)))) % 0.83/1.10 (assume @p755 (forall @t150 (=> @t831 (not (tptp.c_Orderings_Oord__class_Oless @t41 @t804 @t69))))) % 0.83/1.10 (assume @p756 (forall (@list @t492 @t108 @t110 @t107 @t179 @t41) (=> @t632 (=> (not (= @t179 @t69)) (=> (and @t118 (not (= @t108 @t492))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t107 (tptp.hAPP @t849 @t108)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t110 (tptp.hAPP @t849 @t492))))))))) % 0.83/1.10 (assume @p757 (forall @t124 (=> @t830 (= (= @t851 @t69) @t647)))) % 0.83/1.10 (assume @p758 (forall (@list @t232 @t273 @t41) (=> @t174 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t66 @t273) (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t66 @t232) (tptp.c_Orderings_Oord__class_Oless @t41 @t66 (tptp.hAPP @t852 @t232))))))) % 0.83/1.10 (assume @p759 (forall @t625 (=> @t165 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t263 @t713) @t710)) @t853)))) % 0.83/1.10 (assume @p760 (forall @t623 (=> @t165 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t263 @t843) @t842)) @t853)))) % 0.83/1.10 (assume @p761 (forall (@list @t273 @t41) (=> @t71 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t273 @t273) (tptp.hAPP (tptp.hAPP @t706 @t675) @t273))))) % 0.83/1.10 (assume @p762 (forall (@list @t107 @t273 @t41) (=> @t71 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t273 @t720) @t854)))) % 0.83/1.10 (assume @p763 (forall (@list @t273 @t107 @t41) (=> @t71 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t720 @t273) @t854)))) % 0.83/1.10 (assume @p764 (forall @t76 (=> @t415 (= (= @t850 @t66) (or @t75 (= @t32 @t186)))))) % 0.83/1.10 (assume @p765 (forall @t43 (=> @t298 (= @t51 (tptp.hAPP (tptp.hAPP @t706 @t186) @t38))))) % 0.83/1.10 (assume @p766 (forall @t856 (=> @t71 (= (tptp.hAPP @t775 @t38) @t855)))) % 0.83/1.10 (assume @p767 (forall @t856 (=> @t71 (= @t857 @t855)))) % 0.83/1.10 (assume @p768 (forall @t320 (=> @t413 (= @t464 @t779)))) % 0.83/1.10 (assume @p769 (forall @t856 (=> @t71 (= @t855 @t857)))) % 0.83/1.10 (assume @p770 (forall @t320 (=> @t424 (= @t464 @t778)))) % 0.83/1.10 (assume @p771 (forall @t859 (=> @t71 (= (tptp.hAPP (tptp.hAPP @t706 @t858) @t774) (tptp.hAPP @t325 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t44 @t338)))))) % 0.83/1.10 (assume @p772 (forall @t362 (=> @t413 (= (tptp.hAPP @t353 @t551) (tptp.hAPP (tptp.hAPP @t706 @t361) @t354))))) % 0.83/1.10 (assume @p773 (forall @t526 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t861)) @t670))) % 0.83/1.10 (assume @p774 (forall (@list @t89 @t38 @t99) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t99) (=> @t672 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t799 @t38) (tptp.hAPP @t799 @t89)))))) % 0.83/1.10 (assume @p775 (forall @t288 (=> @t202 (=> @t862 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t762))))) % 0.83/1.10 (assume @p776 (forall @t867 (=> @t866 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t865 @t864) @t57)))) % 0.83/1.10 (assume @p777 (forall @t58 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t861 (tptp.hAPP @t863 @t53)) @t7) (and @t670 (= @t53 @t7))))) % 0.83/1.10 (assume @p778 (forall (@list @t38 @t868) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t694 @t868) @t868)) (tptp.hAPP @t761 @t38)))) % 0.83/1.10 (assume @p779 (forall @t623 (=> @t830 (=> @t847 (= @t869 @t170))))) % 0.83/1.10 (assume @p780 (forall @t623 (=> @t830 (=> @t845 (= @t869 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t62 @t60)))))) % 0.83/1.10 (assume @p781 (forall @t591 (=> @t837 (=> @t137 (=> @t619 (=> @t655 @t871)))))) % 0.83/1.10 (assume @p782 (forall @t591 (=> @t837 (=> @t137 (=> @t619 (=> @t356 @t871)))))) % 0.83/1.10 (assume @p783 (forall @t591 (=> @t837 (=> @t137 (=> @t628 (=> @t356 (=> @t835 @t870))))))) % 0.83/1.10 (assume @p784 (forall @t591 (=> @t837 (=> @t115 (=> @t619 (=> @t198 @t871)))))) % 0.83/1.10 (assume @p785 (forall @t617 (=> @t874 @t873))) % 0.83/1.10 (assume @p786 (forall @t617 (=> @t837 @t873))) % 0.83/1.10 (assume @p787 (forall @t615 (=> @t874 @t875))) % 0.83/1.10 (assume @p788 (forall @t615 (=> @t837 @t875))) % 0.83/1.10 (assume @p789 (forall @t617 (=> @t837 (=> @t826 @t876)))) % 0.83/1.10 (assume @p790 (forall @t615 (=> @t837 (=> @t824 @t876)))) % 0.83/1.10 (assume @p791 (forall @t93 (=> @t831 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t69 @t877)))) % 0.83/1.10 (assume @p792 (forall @t124 (=> @t830 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t851 @t69) @t647)))) % 0.83/1.10 (assume @p793 (forall @t93 (=> @t831 (not (tptp.c_Orderings_Oord__class_Oless @t41 @t877 @t69))))) % 0.83/1.10 (assume @p794 (forall @t124 (=> @t830 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t69 @t851) (or @t84 (not @t646)))))) % 0.83/1.10 (assume @p795 (forall @t93 (=> @t173 (=> @t880 (=> @t879 (=> @t878 (tptp.c_Orderings_Oord__class_Oless__eq @t41 (tptp.hAPP @t740 @t38) @t38))))))) % 0.83/1.10 (assume @p796 (forall @t93 (=> @t173 (=> @t880 (=> @t879 (=> @t878 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t708 @t38))))))) % 0.83/1.10 (assume @p797 (forall @t320 (=> @t174 (=> @t360 (tptp.c_Orderings_Oord__class_Oless @t41 @t354 @t778))))) % 0.83/1.10 (assume @p798 (forall @t320 (=> @t174 (=> @t360 (tptp.c_Orderings_Oord__class_Oless @t41 @t66 @t778))))) % 0.83/1.10 (assume @p799 (forall @t320 (=> @t881 (= (tptp.hAPP (tptp.hAPP @t324 @t149) @t232) (tptp.hAPP (tptp.hAPP @t706 (tptp.hAPP (tptp.hAPP @t324 @t186) @t232)) @t354))))) % 0.83/1.10 (assume @p800 (forall @t867 (=> @t866 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t865 @t864) @t56)))) % 0.83/1.10 (assume @p801 (forall @t867 (=> @t866 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t882 @t32) (tptp.hAPP @t882 @t53)) @t56)))) % 0.83/1.10 (assume @p802 (forall @t344 (=> @t74 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t883 @t763)))) % 0.83/1.10 (assume @p803 (forall @t669 (=> @t300 @t884))) % 0.83/1.10 (assume @p804 (forall @t344 (=> @t165 (=> @t347 (=> @t348 (= @t883 @t763)))))) % 0.83/1.10 (assume @p805 (forall (@list @t38 @t44 @t107 @t41) (=> @t74 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t238) @t38) (tptp.c_Groups_Oplus__class_Oplus @t41 @t107 (tptp.hAPP @t707 @t46)))))) % 0.83/1.10 (assume @p806 (forall (@list @t232 @t107 @t179) (= (tptp.hAPP (tptp.hAPP @t886 (tptp.c_Complex_Orcis @t179 @t107)) @t232) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t322 @t179) @t232) @t885)))) % 0.83/1.10 (assume @p807 (forall @t892 (=> (tptp.class_Rings_Olinordered__semiring__1 @t41) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t38 @t107) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t89 @t107) (=> @t891 (=> @t890 (=> @t889 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t888 @t107))))))))) % 0.83/1.10 (assume @p808 (forall @t320 (=> @t174 (=> @t198 (=> @t431 (tptp.c_Orderings_Oord__class_Oless @t41 @t778 @t354)))))) % 0.83/1.10 (assume @p809 (forall (@list @t89 @t38 @t108 @t41) (=> @t52 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t108 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t50 (tptp.hAPP (tptp.hAPP @t694 @t108) @t592)) @t184))))) % 0.83/1.10 (assume @p810 (forall @t892 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t41) (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t38 @t107) (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t89 @t107) (=> @t891 (=> @t890 (=> @t889 (tptp.c_Orderings_Oord__class_Oless @t41 @t888 @t107))))))))) % 0.83/1.10 (assume @p811 (forall @t669 (=> @t300 (=> @t522 (=> @t682 @t884))))) % 0.83/1.10 (assume @p812 (forall (@list @t684 @t279 @t41) (=> (and @t770 @t428) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t279 (tptp.hAPP (tptp.hAPP @t706 @t684) @t3)))) (exists @t6 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t263 @t684) (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t69))) @t893)))))) % 0.83/1.10 (assume @p813 (forall @t523 (=> @t895 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 (tptp.hAPP @t894 @t232))))) % 0.83/1.10 (assume @p814 (forall (@list @t338 @t44 @t107 @t41) (=> @t74 (= (tptp.c_Polynomial_Opcompose @t41 @t238 @t338) (tptp.c_Groups_Oplus__class_Oplus @t47 @t259 (tptp.hAPP @t737 @t896)))))) % 0.83/1.10 (assume @p815 (forall @t155 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t897) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t723 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t151))))) % 0.83/1.10 (assume @p816 (forall @t748 (= (tptp.hAPP (tptp.hAPP @t898 @t901) @t151) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t900 @t151) (tptp.hAPP @t899 @t151))))) % 0.83/1.10 (assume @p817 (forall @t801 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t901 @t800) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t746 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t744 @t800))))) % 0.83/1.10 (assume @p818 (forall (@list @t744 @t746 @t151) (= (tptp.hAPP @t902 @t901) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t902 @t746) (tptp.hAPP @t902 @t744))))) % 0.83/1.10 (assume @p819 (forall @t384 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t89 @t99)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t89 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 @t99))))) % 0.83/1.10 (assume @p820 (forall @t155 (= @t897 @t752))) % 0.83/1.10 (assume @p821 (forall @t907 (= (tptp.hAPP @t904 @t551) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t906 @t905)))) % 0.83/1.10 (assume @p822 (forall @t609 (= (tptp.hAPP (tptp.hAPP @t903 @t551) @t156) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t911 @t909)))) % 0.83/1.10 (assume @p823 (forall (@list @t255 @t912 @t32 @t711 @t60) (=> (tptp.hBOOL (tptp.hAPP @t470 @t711)) (= (tptp.hBOOL (tptp.hAPP @t470 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t32 @t912))) (tptp.hBOOL (tptp.hAPP @t470 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t32 (tptp.hAPP (tptp.hAPP @t898 @t255) @t711)) @t912))))))) % 0.83/1.10 (assume @p824 (forall (@list @t266 @t265 @t488) (= (tptp.hBOOL (tptp.hAPP @t913 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t265 @t915))) (tptp.hBOOL (tptp.hAPP @t913 @t265))))) % 0.83/1.10 (assume @p825 (forall @t384 (= (tptp.hAPP (tptp.hAPP @t469 @t916) @t99) (tptp.hAPP @t894 (tptp.hAPP (tptp.hAPP @t903 @t89) @t99))))) % 0.83/1.10 (assume @p826 (forall @t155 (= (tptp.hAPP (tptp.hAPP @t898 @t723) @t151) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t918)))) % 0.83/1.10 (assume @p827 (forall @t705 (= (tptp.hAPP @t917 @t699) @t99))) % 0.83/1.10 (assume @p828 (forall @t705 (= (tptp.hAPP (tptp.hAPP @t898 @t699) @t99) @t99))) % 0.83/1.10 (assume @p829 (forall @t344 (=> @t74 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t41 @t896) (tptp.hAPP @t919 @t340))))) % 0.83/1.10 (assume @p830 (forall @t610 (= (= @t925 @t923) @t921))) % 0.83/1.10 (assume @p831 (forall @t562 (= @t929 @t921))) % 0.83/1.10 (assume @p832 (forall @t271 (= (= @t930 @t211) (or @t445 @t301)))) % 0.83/1.10 (assume @p833 (forall @t442 (= (tptp.hAPP @t910 @t211) @t211))) % 0.83/1.10 (assume @p834 (forall @t252 (= (tptp.hAPP (tptp.hAPP @t903 @t211) @t232) @t211))) % 0.83/1.10 (assume @p835 (forall @t859 (=> @t71 (= (tptp.hAPP (tptp.hAPP @t324 @t858) @t338) (tptp.hAPP @t325 (tptp.hAPP (tptp.hAPP @t903 @t44) @t338)))))) % 0.83/1.10 (assume @p836 (forall @t362 (=> @t413 (= (tptp.hAPP @t353 @t931) (tptp.hAPP (tptp.hAPP @t324 @t361) @t232))))) % 0.83/1.10 (assume @p837 (forall @t562 (= (= @t934 @t933) @t267))) % 0.83/1.10 (assume @p838 (forall @t442 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t273 @t935))) % 0.83/1.10 (assume @p839 (forall @t442 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t273 (tptp.hAPP @t910 @t935)))) % 0.83/1.10 (assume @p840 (forall @t159 (=> @t294 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t939 @t937)))) % 0.83/1.10 (assume @p841 (forall @t159 (=> @t294 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t941 @t940)))) % 0.83/1.10 (assume @p842 (forall @t571 (=> @t294 (=> @t577 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t939 (tptp.hAPP @t936 @t568)))))) % 0.83/1.10 (assume @p843 (forall @t288 (=> @t895 (=> @t942 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 (tptp.hAPP (tptp.hAPP @t898 @t38) @t89)))))) % 0.83/1.10 (assume @p844 (forall (@list @t912 @t266 @t488) (=> (not (= @t488 @t692)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t468 @t266) @t912)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t468 @t915) (tptp.hAPP @t914 @t912))))))) % 0.83/1.10 (assume @p845 (forall @t271 (= (= @t930 @t400) @t944))) % 0.83/1.10 (assume @p846 (forall @t252 (= (tptp.hAPP @t908 @t400) @t232))) % 0.83/1.10 (assume @p847 (forall @t271 (= (= @t400 @t930) @t944))) % 0.83/1.10 (assume @p848 (forall @t252 (= (tptp.hAPP (tptp.hAPP @t903 @t400) @t232) @t232))) % 0.83/1.10 (assume @p849 (forall @t705 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t723) @t99))) % 0.83/1.10 (assume @p850 (forall @t271 (= (= @t930 @t438) (and @t462 @t661)))) % 0.83/1.10 (assume @p851 (forall @t159 (=> @t456 (=> @t945 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t941 @t940))))) % 0.83/1.10 (assume @p852 (forall @t159 (=> @t456 (=> @t945 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t939 @t937))))) % 0.83/1.10 (assume @p853 (forall @t610 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t925 @t923) @t947))) % 0.83/1.10 (assume @p854 (forall @t562 (= @t948 @t947))) % 0.83/1.10 (assume @p855 (forall @t271 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t930) (and @t663 @t303)))) % 0.83/1.10 (assume @p856 (forall @t562 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t934 @t933) @t270))) % 0.83/1.10 (assume @p857 (forall @t276 (= (tptp.hAPP @t910 @t435) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t273 @t931)))) % 0.83/1.10 (assume @p858 (forall @t276 (= (tptp.hAPP (tptp.hAPP @t903 @t436) @t232) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t232 @t931)))) % 0.83/1.10 (assume @p859 (forall @t271 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t692 @t266) (= (= (tptp.hAPP (tptp.hAPP @t898 @t266) @t265) @t699) (and (= @t266 @t699) (= @t265 @t699)))))) % 0.83/1.10 (assume @p860 (forall @t159 (=> @t751 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t692 @t156) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t949 @t157) (tptp.hAPP @t949 @t158)))))) % 0.83/1.10 (assume @p861 (forall @t562 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t934 @t933) @t269))) % 0.83/1.10 (assume @p862 (forall @t276 (=> (= @t273 @t931) (or (= @t232 @t400) (= @t273 @t211))))) % 0.83/1.10 (assume @p863 (forall @t907 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t468 (tptp.hAPP @t949 @t273)) (tptp.hAPP @t949 @t232))) (=> (not (= @t156 @t692)) @t691)))) % 0.83/1.10 (assume @p864 (forall @t276 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t931) (tptp.hAPP (tptp.hAPP @t694 @t509) @t506)))) % 0.83/1.10 (assume @p865 (forall @t384 (= (tptp.hAPP @t894 @t556) (tptp.hAPP (tptp.hAPP @t898 @t916) (tptp.hAPP @t894 @t99))))) % 0.83/1.10 (assume @p866 (forall @t685 (=> @t74 (= (tptp.c_Polynomial_Opcompose @t41 @t72 @t338) @t72)))) % 0.83/1.10 (assume @p867 (forall @t608 (=> @t74 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t896) @t38) (tptp.hAPP @t45 @t607))))) % 0.83/1.10 (assume @p868 (forall @t286 (=> @t951 (=> @t950 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t931))))) % 0.83/1.10 (assume @p869 (forall @t286 (=> @t951 (=> @t950 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t952))))) % 0.83/1.10 (assume @p870 (forall @t286 (=> @t951 (=> @t950 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t931))))) % 0.83/1.10 (assume @p871 (forall @t271 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t438 @t930) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t438 @t266) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t438 @t265))))) % 0.83/1.10 (assume @p872 (forall @t907 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t906) @t905)) (=> @t945 @t396)))) % 0.83/1.10 (assume @p873 (forall @t610 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t925 @t923) @t953))) % 0.83/1.10 (assume @p874 (forall @t562 (= @t954 @t953))) % 0.83/1.10 (assume @p875 (forall @t640 (=> @t334 (=> @t300 @t955)))) % 0.83/1.10 (assume @p876 (forall (@list @t110 @t957 @t107 @t958) (= (tptp.hAPP (tptp.hAPP @t959 (tptp.c_Complex_Orcis @t958 @t107)) (tptp.c_Complex_Orcis @t957 @t110)) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t694 @t958) @t957) @t956)))) % 0.83/1.10 (assume @p877 (forall @t962 (= @t961 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t468 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t711)) @t912))))) % 0.83/1.10 (assume @p878 (forall @t962 (= @t961 (tptp.hBOOL (tptp.hAPP @t960 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t912)))))) % 0.83/1.10 (assume @p879 (forall @t251 (=> @t71 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t41 @t330) (tptp.hAPP @t919 @t232))))) % 0.83/1.10 (assume @p880 (forall @t271 (=> @t663 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 (tptp.hAPP @t922 @t266)) @t266)) @t943)))) % 0.83/1.10 (assume @p881 (forall @t271 (=> @t663 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t332 @t930) @t266)) @t943)))) % 0.83/1.10 (assume @p882 (forall @t640 (=> @t334 (=> @t300 (=> @t202 @t955))))) % 0.83/1.10 (assume @p883 (forall @t390 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t107) (=> (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 @t903 @t537) (tptp.c_RComplete_Onatfloor @t110)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t694 @t107) @t110))))))) % 0.83/1.10 (assume @p884 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 @t692)) % 0.83/1.10 (assume @p885 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 @t699)) % 0.83/1.10 (assume @p886 (forall @t288 (=> @t895 (=> @t942 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 @t89)))))) % 0.83/1.10 (assume @p887 (forall @t965 (=> @t964 (=> @t963 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t179 @t107) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t699 @t338)))))) % 0.83/1.10 (assume @p888 (forall @t965 (=> @t964 (=> @t963 (=> @t966 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t338 @t699)))))) % 0.83/1.10 (assume @p889 (forall @t155 (= @t918 (tptp.hAPP @t902 @t99)))) % 0.83/1.10 (assume @p890 (forall @t801 (= (tptp.hAPP (tptp.hAPP @t898 (tptp.hAPP @t900 @t744)) @t800) (tptp.hAPP @t900 (tptp.hAPP @t899 @t800))))) % 0.83/1.10 (assume @p891 (forall @t276 (= @t931 @t952))) % 0.83/1.10 (assume @p892 (forall @t609 (= (tptp.hAPP (tptp.hAPP @t903 @t931) @t156) (tptp.hAPP @t910 @t909)))) % 0.83/1.10 (assume @p893 (forall @t979 (=> @t978 (=> @t975 (=> @t973 (=> @t972 (=> @t970 (=> @t969 @t968)))))))) % 0.83/1.10 (assume @p894 (forall @t982 (=> @t981 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t179 @t692) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t110 @t179) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t110 @t971) @t980)))))) % 0.83/1.10 (assume @p895 (forall @t979 (=> @t978 (=> @t984 (=> @t983 (=> @t966 (=> @t970 (=> @t969 @t980)))))))) % 0.83/1.10 (assume @p896 (forall @t982 (=> @t981 (=> @t972 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t971 @t110) (=> @t973 @t968)))))) % 0.83/1.10 (assume @p897 (forall @t985 (=> @t975 (=> @t972 (=> @t970 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t967 @t692)))))) % 0.83/1.10 (assume @p898 (forall @t985 (=> @t984 (=> @t983 (=> @t970 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 @t967)))))) % 0.83/1.10 (assume @p899 (forall @t562 (=> @t946 (= @t954 @t269)))) % 0.83/1.10 (assume @p900 (forall @t562 (=> @t946 (= @t987 @t986)))) % 0.83/1.10 (assume @p901 (forall @t562 (= @t929 (or @t920 @t267)))) % 0.83/1.10 (assume @p902 (forall (@list @t156 @t158 @t868 @t157) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t938 @t868) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t936 @t868) @t156)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t903 @t559) @t868) @t156)))) % 0.83/1.10 (assume @p903 (forall @t562 (=> @t946 (= @t948 @t270)))) % 0.83/1.10 (assume @p904 (forall @t562 (=> @t946 (= @t929 @t267)))) % 0.83/1.10 (assume @p905 (forall @t562 (= @t987 (or @t920 @t986)))) % 0.83/1.10 (assume @p906 (forall (@list @t232 @t110) (=> (not (= @t110 @t36)) (=> @t235 (exists @t21 (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 @t988 (tptp.hAPP (tptp.hAPP @t959 @t110) (tptp.hAPP (tptp.hAPP @t886 @t14) @t232)))) @t31)))))) % 0.83/1.10 (assume @p907 (forall @t68 (=> @t424 (= @t324 (tptp.c_Power_Opower_Opower @t41 @t66 @t706))))) % 0.83/1.10 (assume @p908 (forall (@list @t60 @t990 @t989 @t41) (= (tptp.hAPP @t991 @t211) @t989))) % 0.83/1.10 (assume @p909 (forall (@list @t265 @t60 @t990 @t989 @t41) (= (tptp.hAPP @t991 @t448) (tptp.hAPP (tptp.hAPP @t990 @t60) (tptp.hAPP @t991 @t265))))) % 0.83/1.10 (assume @p910 (forall @t491 (=> @t727 (exists @t228 (and @t227 @t993))))) % 0.83/1.10 (assume @p911 (forall @t43 (=> @t727 (exists @t228 (and @t227 @t994))))) % 0.83/1.10 (assume @p912 (forall @t68 (=> @t727 (exists @t228 (and @t227 @t997))))) % 0.83/1.10 (assume @p913 (forall (@list @t998 @t161 @t53 @t32 @t41) (=> @t482 (= (tptp.c_Polynomial_Opdivmod__rel @t41 @t32 @t53 @t161 @t998) (and (= @t32 (tptp.c_Groups_Oplus__class_Oplus @t47 (tptp.hAPP (tptp.hAPP @t693 @t161) @t53) @t998)) (=> @t486 @t1000) (=> (not @t486) (or @t999 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t41 @t998) (tptp.c_Polynomial_Odegree @t41 @t53))))))))) % 0.83/1.10 (assume @p914 (forall @t1006 (=> @t482 (=> @t1005 (=> @t1004 @t1003))))) % 0.83/1.10 (assume @p915 (forall @t1006 (=> @t482 (=> @t1005 (=> @t1004 @t1007))))) % 0.83/1.10 (assume @p916 (forall @t1006 (=> @t482 (=> @t1005 (=> @t1004 (and @t1003 @t1007)))))) % 0.83/1.10 (assume @p917 (forall (@list @t998 @t161 @t53 @t41) (=> @t482 (= (tptp.c_Polynomial_Opdivmod__rel @t41 @t72 @t53 @t161 @t998) (and @t1000 @t999))))) % 0.83/1.10 (assume @p918 (forall (@list @t998 @t161 @t32 @t41) (=> @t482 (= (tptp.c_Polynomial_Opdivmod__rel @t41 @t32 @t72 @t161 @t998) (and @t1000 (= @t998 @t32)))))) % 0.83/1.10 (assume @p919 (forall @t491 (=> @t482 (tptp.c_Polynomial_Opdivmod__rel @t41 @t72 @t89 @t72 @t72)))) % 0.83/1.10 (assume @p920 (forall @t43 (=> @t482 (tptp.c_Polynomial_Opdivmod__rel @t41 @t38 @t72 @t72 @t38)))) % 0.83/1.10 (assume @p921 (forall (@list @t971 @t967 @t99 @t179 @t338 @t89 @t38 @t41) (=> @t482 (=> (tptp.c_Polynomial_Opdivmod__rel @t41 @t38 @t89 @t338 @t179) (=> (tptp.c_Polynomial_Opdivmod__rel @t41 @t338 @t99 @t967 @t971) (tptp.c_Polynomial_Opdivmod__rel @t41 @t38 (tptp.hAPP @t1008 @t99) @t967 (tptp.c_Groups_Oplus__class_Oplus @t47 (tptp.hAPP @t1008 @t971) @t179))))))) % 0.83/1.10 (assume @p922 (forall (@list @t488 @t279 @t711) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t692 @t711) (=> (forall @t6 (=> @t893 (tptp.hBOOL (tptp.hAPP @t279 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t711))))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t692 @t488) (forall @t6 (=> @t893 (tptp.hBOOL (tptp.hAPP @t279 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 (tptp.hAPP @t914 @t711))))))))))) % 0.83/1.10 (assume @p923 (forall @t68 (=> @t727 (exists @t228 (and @t1009 @t997))))) % 0.83/1.10 (assume @p924 (forall @t491 (=> @t727 (exists @t228 (and @t1009 @t993))))) % 0.83/1.10 (assume @p925 (forall @t43 (=> @t727 (exists @t228 (and @t1009 @t994))))) % 0.83/1.10 (assume @p926 (forall @t520 (= (tptp.c_Complex_Ocis (tptp.hAPP (tptp.hAPP @t694 @t512) @t107)) (tptp.hAPP @t1012 @t1010)))) % 0.83/1.10 (assume @p927 (= (tptp.c_Complex_Oexpi @t36) @t988)) % 0.83/1.10 (assume @p928 (forall @t390 (= (tptp.hAPP @t1012 (tptp.c_Complex_Ocis @t110)) (tptp.c_Complex_Ocis @t956)))) % 0.83/1.10 (assume @p929 (= (tptp.c_Complex_Ocis @t7) @t988)) % 0.83/1.10 (assume @p930 (forall @t208 (= @t1011 (tptp.c_Complex_Orcis @t31 @t107)))) % 0.83/1.10 (assume @p931 (forall @t530 (= (tptp.hAPP (tptp.hAPP @t886 @t1011) @t232) @t1010))) % 0.83/1.10 (assume @p932 (forall @t390 (= (tptp.c_Complex_Oexpi (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t107 @t110)) (tptp.hAPP (tptp.hAPP @t959 (tptp.c_Complex_Oexpi @t107)) (tptp.c_Complex_Oexpi @t110))))) % 0.83/1.10 (assume @p933 (forall (@list @t38 @t89) (=> @t862 (=> @t522 (exists @t226 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t1013 @t89) @t38) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 (tptp.hAPP (tptp.hAPP @t694 @t514) @t89)))))))) % 0.83/1.10 (assume @p934 (forall @t40 (=> @t202 (forall @t26 (exists @t226 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 (tptp.hAPP @t1013 @t38))))))) % 0.83/1.10 (assume @p935 (forall @t523 (=> @t202 (= (tptp.c_Transcendental_Oln @t540) (tptp.hAPP @t695 @t1014))))) % 0.83/1.10 (assume @p936 (forall @t491 (=> @t727 (exists @t228 @t993)))) % 0.83/1.10 (assume @p937 (forall @t58 (=> @t1017 (=> @t677 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1016 @t1015) @t57))))) % 0.83/1.10 (assume @p938 (forall @t58 (=> @t1017 (=> @t677 (= (= @t1016 @t1015) @t54))))) % 0.83/1.10 (assume @p939 (forall @t40 (=> @t202 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1014 @t38)))) % 0.83/1.10 (assume @p940 (= (tptp.c_Transcendental_Oln @t31) @t7)) % 0.83/1.10 (assume @p941 (forall @t58 (=> @t1017 (=> @t677 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1016 @t1015) @t56))))) % 0.83/1.10 (assume @p942 (forall @t40 (=> @t678 @t1018))) % 0.83/1.10 (assume @p943 (forall @t40 (=> @t679 @t1019))) % 0.83/1.10 (assume @p944 (forall @t526 (=> @t1017 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7 @t1016) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t31 @t32))))) % 0.83/1.10 (assume @p945 (forall @t526 (=> @t1017 (= (= @t1016 @t7) @t674)))) % 0.83/1.10 (assume @p946 (forall @t526 (=> @t1017 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1016 @t7) @t33)))) % 0.83/1.10 (assume @p947 (forall @t40 (=> @t202 (=> @t547 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1014 @t7))))) % 0.83/1.10 (assume @p948 (forall @t40 (=> @t1019 (=> @t202 @t679)))) % 0.83/1.10 (assume @p949 (forall @t526 (=> @t1017 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t1016) @t531)))) % 0.83/1.10 (assume @p950 (forall @t40 (=> @t1018 (=> @t202 @t678)))) % 0.83/1.10 (assume @p951 (forall @t288 (=> @t202 (=> @t862 (= (tptp.c_Transcendental_Oln @t762) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t1014 (tptp.c_Transcendental_Oln @t89))))))) % 0.83/1.10 (assume @p952 (forall @t40 (=> @t522 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Transcendental_Oln (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t31 @t38)) @t38)))) % 0.83/1.10 (assume @p953 (forall @t68 (=> @t727 (exists @t228 @t997)))) % 0.83/1.10 (assume @p954 (forall @t43 (=> @t727 (exists @t228 @t994)))) % 0.83/1.10 (assume @p955 (forall @t359 (=> @t413 (=> @t300 (= (tptp.hAPP (tptp.hAPP @t706 (tptp.hAPP @t325 @t1020)) @t38) @t326))))) % 0.83/1.10 (assume @p956 (forall (@list @t273 @t232 @t41) (=> @t424 (and (=> @t234 (= @t1022 @t66)) (=> @t235 (= @t1022 (tptp.hAPP @t852 (tptp.hAPP @t1021 @t1020)))))))) % 0.83/1.10 (assume @p957 (forall @t252 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 @t400) @t232))) % 0.83/1.10 (assume @p958 (forall @t276 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t273 @t435) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t273 @t400) @t232)))) % 0.83/1.10 (assume @p959 (forall @t43 (=> @t881 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t806 @t66) (tptp.hAPP (tptp.hAPP @t706 (tptp.c_Groups_Oplus__class_Oplus @t41 @t38 @t66)) (tptp.c_Groups_Ominus__class_Ominus @t41 @t38 @t66)))))) % 0.83/1.10 (assume @p960 (forall @t728 (=> @t727 (= (tptp.hAPP @t716 (tptp.c_Groups_Ominus__class_Ominus @t41 @t110 @t724)) (tptp.c_Groups_Ominus__class_Ominus @t41 @t726 @t725))))) % 0.83/1.10 (assume @p961 (forall @t733 (=> @t727 (= (tptp.hAPP @t730 @t1023) (tptp.c_Groups_Ominus__class_Ominus @t41 @t732 @t731))))) % 0.83/1.10 (assume @p962 (forall @t736 (=> @t727 (= (tptp.hAPP (tptp.hAPP @t706 (tptp.c_Groups_Ominus__class_Ominus @t41 @t107 @t734)) @t110) (tptp.c_Groups_Ominus__class_Ominus @t41 @t726 @t735))))) % 0.83/1.10 (assume @p963 (forall @t743 (=> @t727 (= (tptp.hAPP (tptp.hAPP @t706 @t1023) @t739) (tptp.c_Groups_Ominus__class_Ominus @t41 @t742 @t741))))) % 0.83/1.10 (assume @p964 (forall @t907 (= (tptp.hAPP @t904 @t1024) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t906 @t905)))) % 0.83/1.10 (assume @p965 (forall @t609 (= (tptp.hAPP (tptp.hAPP @t903 @t1024) @t156) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t911 @t909)))) % 0.83/1.10 (assume @p966 (forall @t1030 (=> @t768 (= @t1029 (= @t1026 @t711))))) % 0.83/1.10 (assume @p967 (forall @t1030 (=> @t768 (= @t1029 (= @t255 @t1031))))) % 0.83/1.10 (assume @p968 (forall @t1036 (=> @t727 (= @t1035 (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t1033 @t1032) @t1034) (tptp.hAPP @t716 @t1032)))))) % 0.83/1.10 (assume @p969 (forall @t1036 (=> @t768 (= @t1035 (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t707 @t1032) @t1034))))) % 0.83/1.10 (assume @p970 (forall @t1030 (=> @t818 (= @t1037 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t255 @t1031))))) % 0.83/1.10 (assume @p971 (forall @t1030 (=> @t818 (= @t1037 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t1026 @t711))))) % 0.83/1.10 (assume @p972 (forall @t1030 (=> @t818 (= @t1038 (tptp.c_Orderings_Oord__class_Oless @t41 @t1026 @t711))))) % 0.83/1.10 (assume @p973 (forall @t1030 (=> @t818 (= @t1038 (tptp.c_Orderings_Oord__class_Oless @t41 @t255 @t1031))))) % 0.83/1.10 (assume @p974 (forall (@list @t912 @t1039 @t711 @t41) (=> (and @t49 @t770) (=> (tptp.hBOOL (tptp.hAPP @t1040 @t1039)) (forall (@list @t3 @t494) (= (tptp.hBOOL (tptp.hAPP @t1040 (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t912))) (tptp.hBOOL (tptp.hAPP @t1040 (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Ominus__class_Ominus @t41 @t3 (tptp.hAPP (tptp.hAPP @t706 @t494) @t1039)) @t912))))))))) % 0.83/1.10 (assume @p975 (forall @t140 (=> @t52 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t41 (tptp.c_Groups_Ominus__class_Ominus @t41 @t107 @t110)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t41 @t107) (tptp.c_RealVector_Onorm__class_Onorm @t41 @t110)))))) % 0.83/1.10 (assume @p976 (forall @t252 (=> @t300 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t232 @t438)) @t232)))) % 0.83/1.10 (assume @p977 (forall (@list @t157 @t232) (=> @t300 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t232 @t455) @t232)))) % 0.83/1.10 (assume @p978 (forall @t1047 (= @t1046 (and (=> @t1045 @t696) (forall @t1044 (=> @t1043 @t1042)))))) % 0.83/1.10 (assume @p979 (forall @t1047 (= @t1046 (not (or (and @t1045 @t697) (exists @t1044 (and @t1043 (not @t1042)))))))) % 0.83/1.10 (assume @p980 (forall @t1051 (=> @t1050 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1049 @t273) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1048 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t156 @t273)))))) % 0.83/1.10 (assume @p981 (forall @t1051 (=> @t1050 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t273 @t1049) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t578 @t1048))))) % 0.83/1.10 (assume @p982 (forall @t1055 (=> @t1054 (tptp.class_Groups_Ocancel__comm__monoid__add @t1053)))) % 0.83/1.10 (assume @p983 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p984 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p985 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p986 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p987 (forall @t1058 (=> (tptp.class_Lattices_Oboolean__algebra @t1052) (tptp.class_Lattices_Oboolean__algebra @t1057)))) % 0.83/1.10 (assume @p988 (forall @t1058 (=> (tptp.class_Orderings_Opreorder @t1052) (tptp.class_Orderings_Opreorder @t1057)))) % 0.83/1.10 (assume @p989 (forall @t1058 (=> (tptp.class_Orderings_Oorder @t1052) (tptp.class_Orderings_Oorder @t1057)))) % 0.83/1.10 (assume @p990 (forall @t1058 (=> (tptp.class_Orderings_Oord @t1052) (tptp.class_Orderings_Oord @t1057)))) % 0.83/1.10 (assume @p991 (forall @t1058 (=> (tptp.class_Groups_Ouminus @t1052) (tptp.class_Groups_Ouminus @t1057)))) % 0.83/1.10 (assume @p992 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p993 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p994 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p995 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p996 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p997 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p998 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p999 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1000 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1001 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1002 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1003 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1004 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1005 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1006 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1007 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1008 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1009 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1010 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1011 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1012 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1013 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1014 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1015 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1016 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1017 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1018 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1019 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1020 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1021 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1022 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1023 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1024 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1025 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1026 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1027 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1028 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1029 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1030 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1031 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1032 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1033 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1034 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1035 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1036 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1037 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1038 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1039 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1040 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1041 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1042 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1043 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1044 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1045 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1046 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1047 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 0.83/1.10 (assume @p1048 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1049 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1050 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1051 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1052 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1053 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1054 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1055 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1056 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1057 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1058 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1059 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1060 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1061 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1062 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1063 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1064 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1065 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1066 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1067 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1068 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1069 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1070 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1071 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1072 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1073 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1074 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1075 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1076 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1077 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1078 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1079 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1080 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1081 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1082 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1083 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 0.83/1.10 (assume @p1084 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 0.83/1.10 (assume @p1085 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.83/1.10 (assume @p1086 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.83/1.10 (assume @p1087 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.83/1.10 (assume @p1088 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 0.83/1.10 (assume @p1089 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1090 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1091 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1092 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1093 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1094 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1095 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1096 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1097 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1098 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1099 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1100 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1101 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1102 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1103 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1104 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1105 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1106 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1107 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1108 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1109 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1110 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1111 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1112 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1113 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1114 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1115 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1116 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1117 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1118 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1119 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1120 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1121 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1122 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1123 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1124 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1125 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1126 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1127 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1128 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1129 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1130 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1131 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1132 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1133 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1134 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1135 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1136 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1137 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1138 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1139 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1140 (tptp.class_Groups_Ouminus tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1141 (tptp.class_Groups_Osgn__if tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1142 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1143 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1144 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1145 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1146 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1147 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1148 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1149 (tptp.class_Rings_Odvd tptp.tc_RealDef_Oreal)) % 0.83/1.10 (assume @p1150 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1151 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1152 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1153 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1154 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1155 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1156 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1157 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1158 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1159 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1160 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1161 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1162 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1163 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1164 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1165 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1166 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1167 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1168 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1169 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1170 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1171 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1172 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1173 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1174 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1175 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1176 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1177 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1178 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1179 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1180 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1181 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1182 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1183 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1184 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1185 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1186 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 0.83/1.10 (assume @p1187 (forall @t1055 (=> @t1059 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1053)))) % 0.83/1.10 (assume @p1188 (forall @t1055 (=> @t1060 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1053)))) % 0.83/1.10 (assume @p1189 (forall @t1055 (=> @t1060 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1053)))) % 0.83/1.10 (assume @p1190 (forall @t1055 (=> @t1060 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1053)))) % 0.83/1.10 (assume @p1191 (forall @t1055 (=> @t1060 (tptp.class_Rings_Olinordered__semiring__1__strict @t1053)))) % 0.83/1.10 (assume @p1192 (forall @t1055 (=> @t1060 (tptp.class_Rings_Olinordered__semiring__strict @t1053)))) % 0.83/1.10 (assume @p1193 (forall @t1055 (=> @t1060 (tptp.class_Groups_Oordered__ab__semigroup__add @t1053)))) % 0.83/1.10 (assume @p1194 (forall @t1055 (=> @t1060 (tptp.class_Groups_Oordered__comm__monoid__add @t1053)))) % 0.83/1.10 (assume @p1195 (forall @t1055 (=> @t1060 (tptp.class_Groups_Olinordered__ab__group__add @t1053)))) % 0.83/1.10 (assume @p1196 (forall @t1055 (=> @t1054 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1053)))) % 0.83/1.10 (assume @p1197 (forall @t1055 (=> @t1059 (tptp.class_Rings_Oring__1__no__zero__divisors @t1053)))) % 0.83/1.10 (assume @p1198 (forall @t1055 (=> @t1060 (tptp.class_Rings_Oordered__cancel__semiring @t1053)))) % 0.83/1.10 (assume @p1199 (forall @t1055 (=> @t1060 (tptp.class_Rings_Olinordered__ring__strict @t1053)))) % 0.83/1.10 (assume @p1200 (forall @t1055 (=> @t1059 (tptp.class_Rings_Oring__no__zero__divisors @t1053)))) % 0.83/1.10 (assume @p1201 (forall @t1055 (=> @t1060 (tptp.class_Rings_Oordered__comm__semiring @t1053)))) % 0.83/1.10 (assume @p1202 (forall @t1055 (=> @t1060 (tptp.class_Rings_Olinordered__semiring__1 @t1053)))) % 0.83/1.10 (assume @p1203 (forall @t1055 (=> @t1060 (tptp.class_Groups_Oordered__ab__group__add @t1053)))) % 0.83/1.10 (assume @p1204 (forall @t1055 (=> @t1054 (tptp.class_Groups_Ocancel__semigroup__add @t1053)))) % 0.83/1.10 (assume @p1205 (forall @t1055 (=> @t1060 (tptp.class_Rings_Olinordered__semiring @t1053)))) % 0.83/1.10 (assume @p1206 (forall @t1055 (=> @t1060 (tptp.class_Rings_Olinordered__semidom @t1053)))) % 0.83/1.10 (assume @p1207 (forall @t1055 (=> @t1061 (tptp.class_Groups_Oab__semigroup__mult @t1053)))) % 0.83/1.10 (assume @p1208 (forall @t1055 (=> @t1062 (tptp.class_Groups_Ocomm__monoid__mult @t1053)))) % 0.83/1.10 (assume @p1209 (forall @t1055 (=> @t1063 (tptp.class_Groups_Oab__semigroup__add @t1053)))) % 0.83/1.10 (assume @p1210 (forall @t1055 (=> @t1060 (tptp.class_Rings_Oordered__semiring @t1053)))) % 0.83/1.10 (assume @p1211 (forall @t1055 (=> @t1059 (tptp.class_Rings_Ono__zero__divisors @t1053)))) % 0.83/1.10 (assume @p1212 (forall @t1055 (=> @t1063 (tptp.class_Groups_Ocomm__monoid__add @t1053)))) % 0.83/1.10 (assume @p1213 (forall @t1055 (=> @t1060 (tptp.class_Rings_Olinordered__ring @t1053)))) % 0.83/1.10 (assume @p1214 (forall @t1055 (=> @t1060 (tptp.class_Rings_Olinordered__idom @t1053)))) % 0.83/1.10 (assume @p1215 (forall @t1055 (=> @t1062 (tptp.class_Rings_Ocomm__semiring__1 @t1053)))) % 0.83/1.10 (assume @p1216 (forall @t1055 (=> @t1061 (tptp.class_Rings_Ocomm__semiring__0 @t1053)))) % 0.83/1.10 (assume @p1217 (forall @t1055 (=> @t1061 (tptp.class_Rings_Ocomm__semiring @t1053)))) % 0.83/1.10 (assume @p1218 (forall @t1055 (=> @t1064 (tptp.class_Groups_Oab__group__add @t1053)))) % 0.83/1.10 (assume @p1219 (forall @t1055 (=> @t1062 (tptp.class_Rings_Ozero__neq__one @t1053)))) % 0.83/1.10 (assume @p1220 (forall @t1055 (=> @t1060 (tptp.class_Rings_Oordered__ring @t1053)))) % 0.83/1.10 (assume @p1221 (forall @t1055 (=> @t1060 (tptp.class_Orderings_Opreorder @t1053)))) % 0.83/1.10 (assume @p1222 (forall @t1055 (=> @t1060 (tptp.class_Orderings_Olinorder @t1053)))) % 0.83/1.10 (assume @p1223 (forall @t1055 (=> @t1062 (tptp.class_Groups_Omonoid__mult @t1053)))) % 0.83/1.10 (assume @p1224 (forall @t1055 (=> @t1065 (tptp.class_Rings_Ocomm__ring__1 @t1053)))) % 0.83/1.10 (assume @p1225 (forall @t1055 (=> @t1063 (tptp.class_Groups_Omonoid__add @t1053)))) % 0.83/1.10 (assume @p1226 (forall @t1055 (=> @t1061 (tptp.class_Rings_Osemiring__0 @t1053)))) % 0.83/1.10 (assume @p1227 (forall @t1055 (=> @t1064 (tptp.class_Groups_Ogroup__add @t1053)))) % 0.83/1.10 (assume @p1228 (forall @t1055 (=> @t1061 (tptp.class_Rings_Omult__zero @t1053)))) % 0.83/1.10 (assume @p1229 (forall @t1055 (=> @t1066 (tptp.class_Rings_Ocomm__ring @t1053)))) % 0.83/1.10 (assume @p1230 (forall @t1055 (=> @t1060 (tptp.class_Orderings_Oorder @t1053)))) % 0.83/1.10 (assume @p1231 (forall @t1055 (=> @t1060 (tptp.class_Int_Oring__char__0 @t1053)))) % 0.83/1.10 (assume @p1232 (forall @t1055 (=> @t1061 (tptp.class_Rings_Osemiring @t1053)))) % 0.83/1.10 (assume @p1233 (forall @t1055 (=> @t1060 (tptp.class_Orderings_Oord @t1053)))) % 0.83/1.10 (assume @p1234 (forall @t1055 (=> @t1064 (tptp.class_Groups_Ouminus @t1053)))) % 0.83/1.10 (assume @p1235 (forall @t1055 (=> @t1060 (tptp.class_Groups_Osgn__if @t1053)))) % 0.83/1.10 (assume @p1236 (forall @t1055 (=> @t1065 (tptp.class_Rings_Oring__1 @t1053)))) % 0.83/1.10 (assume @p1237 (forall @t1055 (=> @t1062 (tptp.class_Power_Opower @t1053)))) % 0.83/1.10 (assume @p1238 (forall @t1055 (=> (tptp.class_Groups_Ozero @t1052) (tptp.class_Groups_Ozero @t1053)))) % 0.83/1.10 (assume @p1239 (forall @t1055 (=> @t1066 (tptp.class_Rings_Oring @t1053)))) % 0.83/1.10 (assume @p1240 (forall @t1055 (=> @t1059 (tptp.class_Rings_Oidom @t1053)))) % 0.83/1.10 (assume @p1241 (forall @t1055 (=> @t1062 (tptp.class_Groups_Oone @t1053)))) % 0.83/1.10 (assume @p1242 (forall @t1055 (=> @t1062 (tptp.class_Rings_Odvd @t1053)))) % 0.83/1.10 (assume @p1243 (forall @t58 (or (not @t1067) @t54))) % 0.83/1.10 (assume @p1244 (forall @t58 (or @t55 @t1067))) % 0.83/1.10 (assume @p1245 @t1068) % 0.83/1.10 (assume @p1246 (not tptp.v_thesis____)) % 0.83/1.10 (assume @p1247 true) % 0.83/1.10 (step @p1248 :rule exists-elim :args ((= (exists @t28 @t1075) @t1077))) % 0.83/1.10 (step @p1249 :rule eq-symm :args (@t1074 @t11)) % 0.83/1.10 (step @p1250 :rule refl :args (@t11)) % 0.83/1.10 (step @p1251 :rule eq-symm :args (@t1070 @t13)) % 0.83/1.10 (step @p1252 :rule cong :premises (@p1251) :args (@t1078)) % 0.83/1.10 (step @p1253 :rule refl :args (@t1071)) % 0.83/1.10 (step @p1254 :rule refl :args (@t1072)) % 0.83/1.10 (step @p1255 :rule nary_cong :premises (@p1254 @p1253 @p1252) :args (@t1079)) % 0.83/1.10 (step @p1256 :rule aci_norm :args ((= @t1081 @t1079))) % 0.83/1.10 (step @p1257 :rule trans :premises (@p1256 @p1255)) % 0.83/1.10 (step @p1258 :rule cong :premises (@p1257) :args (@t1082)) % 0.83/1.10 (step @p1259 :rule quant-merge-prenex :args ((= (forall @t6 @t1084) @t1082))) % 0.83/1.10 (step @p1260 :rule refl :args (@t1072)) % 0.83/1.10 (step @p1261 :rule alpha_equiv :args (@t1085 (@list @t1069) (@list @t14))) % 0.83/1.10 (step @p1262 :rule nary_cong :premises (@p1261 @p1260) :args (@t1086)) % 0.83/1.10 (step @p1263 :rule quant-miniscope-or :args ((= @t1084 @t1086))) % 0.83/1.10 (step @p1264 :rule trans :premises (@p1263 @p1262)) % 0.83/1.10 (step @p1265 :rule symm :premises (@p1264)) % 0.83/1.10 (step @p1266 :rule cong :premises (@p1265) :args ((forall @t6 (or @t1087 @t1072)))) % 0.83/1.10 (step @p1267 :rule trans :premises (@p1266 @p1259)) % 0.83/1.10 (step @p1268 :rule trans :premises (@p1267 @p1258)) % 0.83/1.10 (step @p1269 :rule bool-double-not-elim :args (@t1087)) % 0.83/1.10 (step @p1270 :rule nary_cong :premises (@p1269 @p1260) :args ((or (not @t1088) @t1072))) % 0.83/1.10 (step @p1271 :rule bool-and-de-morgan :args (@t1088 @t12 true)) % 0.83/1.10 (step @p1272 :rule trans :premises (@p1271 @p1270)) % 0.83/1.10 (step @p1273 :rule cong :premises (@p1272) :args (@t1090)) % 0.83/1.10 (step @p1274 :rule trans :premises (@p1273 @p1268)) % 0.83/1.10 (step @p1275 :rule cong :premises (@p1274) :args (@t1091)) % 0.83/1.10 (step @p1276 :rule exists-elim :args ((= (exists @t6 @t1089) @t1091))) % 0.83/1.10 (step @p1277 :rule trans :premises (@p1276 @p1275)) % 0.83/1.10 (step @p1278 :rule refl :args (@t12)) % 0.83/1.10 (step @p1279 :rule bool-and-de-morgan :args (@t19 @t17 true)) % 0.83/1.10 (step @p1280 :rule cong :premises (@p1279) :args (@t1092)) % 0.83/1.10 (step @p1281 :rule cong :premises (@p1280) :args (@t1093)) % 0.83/1.10 (step @p1282 :rule exists-elim :args ((= @t22 @t1093))) % 0.83/1.10 (step @p1283 :rule trans :premises (@p1282 @p1281)) % 0.83/1.10 (step @p1284 :rule nary_cong :premises (@p1283 @p1278) :args (@t23)) % 0.83/1.10 (step @p1285 :rule cong :premises (@p1284) :args (@t24)) % 0.83/1.10 (step @p1286 :rule trans :premises (@p1285 @p1277)) % 0.83/1.10 (step @p1287 :rule cong :premises (@p1286 @p1250) :args (@t25)) % 0.83/1.10 (step @p1288 :rule trans :premises (@p1287 @p1249)) % 0.83/1.10 (step @p1289 :rule cong :premises (@p1288) :args (@t27)) % 0.83/1.10 (step @p1290 :rule cong :premises (@p1289) :args (@t29)) % 0.83/1.10 (step @p1291 :rule trans :premises (@p1290 @p1248)) % 0.83/1.10 (step @p1292 :rule eq_resolve :premises (@p3 @p1291)) % 0.83/1.10 (step @p1293 :rule refl :args (tptp.v_thesis____)) % 0.83/1.10 (step @p1294 :rule bool-double-not-elim :args (@t1076)) % 0.83/1.10 (step @p1295 :rule nary_cong :premises (@p1294 @p1293) :args ((or (not @t1077) tptp.v_thesis____))) % 0.83/1.10 (step @p1296 :rule cong :premises (@p1291 @p1293) :args (@t1068)) % 0.83/1.10 (step @p1297 :rule eq_resolve :premises (@p1245 @p1296)) % 0.83/1.10 (step @p1298 :rule implies_elim :premises (@p1297)) % 0.83/1.10 (step @p1299 :rule eq_resolve :premises (@p1298 @p1295)) % 0.83/1.10 (step @p1300 :rule reordering :premises (@p1299) :args ((or tptp.v_thesis____ @t1076))) % 0.83/1.10 (step @p1301 :rule chain_m_resolution :premises (@p1300 @p1292) :args (tptp.v_thesis____ (@list true) (@list @t1076))) % 0.83/1.10 (step @p1302 false :rule chain_m_resolution :premises (@p1246 @p1301) :args (false (@list false) (@list tptp.v_thesis____))) % 0.83/1.10 ) % 0.83/1.10 % SZS output end Proof % 0.83/1.10 % cvc5 exiting %------------------------------------------------------------------------------