%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW285+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:40 AM UTC 2026 % Result : Theorem 1.02s 1.29s % Output : Proof 0.58s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW285+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n026.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:44:10 EDT 2026 % 0.17/0.35 % CPUTime : % 0.44/0.74 %----Proving TF0_NAR, FOF, or CNF % 1.02/1.29 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.02/1.29 % SZS status Theorem % 1.02/1.29 % SZS output start Proof % 1.02/1.29 ( % 1.02/1.29 (declare-sort $$unsorted 0) % 1.02/1.29 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_fTrue $$unsorted) % 1.02/1.29 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.02/1.29 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.02/1.29 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.02/1.29 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.v_p $$unsorted) % 1.02/1.29 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.v_r____ $$unsorted) % 1.02/1.29 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.v_q $$unsorted) % 1.02/1.29 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_fFalse $$unsorted) % 1.02/1.29 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.02/1.29 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.02/1.29 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.02/1.29 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.02/1.29 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.02/1.29 (define @t3 () (@var "B_x" $$unsorted)) % 1.02/1.29 (define @t4 () (tptp.hAPP @t2 @t3)) % 1.02/1.29 (define @t5 () (@list @t3)) % 1.02/1.29 (define @t6 () (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero @t6)) % 1.02/1.29 (define @t8 () (= tptp.v_p @t7)) % 1.02/1.29 (define @t9 () (@var "B_y" $$unsorted)) % 1.02/1.29 (define @t10 () (@var "T_b" $$unsorted)) % 1.02/1.29 (define @t11 () (@var "T_a" $$unsorted)) % 1.02/1.29 (define @t12 () (tptp.c_Groups_Ozero__class_Ozero @t11)) % 1.02/1.29 (define @t13 () (@var "V_x_2" $$unsorted)) % 1.02/1.29 (define @t14 () (= @t13 @t12)) % 1.02/1.29 (define @t15 () (tptp.class_Groups_Ozero @t11)) % 1.02/1.29 (define @t16 () (@list @t13 @t11)) % 1.02/1.29 (define @t17 () (tptp.tc_Polynomial_Opoly @t11)) % 1.02/1.29 (define @t18 () (tptp.c_Groups_Ozero__class_Ozero @t17)) % 1.02/1.29 (define @t19 () (@var "V_h" $$unsorted)) % 1.02/1.29 (define @t20 () (tptp.class_Rings_Ocomm__semiring__0 @t11)) % 1.02/1.29 (define @t21 () (@var "V_pa_2" $$unsorted)) % 1.02/1.29 (define @t22 () (= @t21 @t18)) % 1.02/1.29 (define @t23 () (@var "V_h_2" $$unsorted)) % 1.02/1.29 (define @t24 () (@var "V_z_2" $$unsorted)) % 1.02/1.29 (define @t25 () (tptp.tc_Polynomial_Opoly @t10)) % 1.02/1.29 (define @t26 () (tptp.c_Groups_Ozero__class_Ozero @t25)) % 1.02/1.29 (define @t27 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t10)) @t26) @t24) @t24)) % 1.02/1.29 (define @t28 () (tptp.class_Groups_Ozero @t10)) % 1.02/1.29 (define @t29 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.02/1.29 (define @t30 () (@var "V_n" $$unsorted)) % 1.02/1.29 (define @t31 () (@list @t30 @t11)) % 1.02/1.29 (define @t32 () (@var "V_a_2" $$unsorted)) % 1.02/1.29 (define @t33 () (= @t32 @t12)) % 1.02/1.29 (define @t34 () (@var "V_n_2" $$unsorted)) % 1.02/1.29 (define @t35 () (tptp.c_Polynomial_Omonom @t11 @t32 @t34)) % 1.02/1.29 (define @t36 () (@list @t34 @t32 @t11)) % 1.02/1.29 (define @t37 () (@var "V_x" $$unsorted)) % 1.02/1.29 (define @t38 () (tptp.c_Polynomial_Opoly @t11 @t18)) % 1.02/1.29 (define @t39 () (@list @t37 @t11)) % 1.02/1.29 (define @t40 () (@var "V_p" $$unsorted)) % 1.02/1.29 (define @t41 () (@list @t40 @t11)) % 1.02/1.29 (define @t42 () (tptp.c_Polynomial_Osmult @t11 @t32 @t21)) % 1.02/1.29 (define @t43 () (tptp.class_Rings_Oidom @t11)) % 1.02/1.29 (define @t44 () (@list @t21 @t32 @t11)) % 1.02/1.29 (define @t45 () (@var "V_m" $$unsorted)) % 1.02/1.29 (define @t46 () (@var "V_a" $$unsorted)) % 1.02/1.29 (define @t47 () (tptp.c_Polynomial_Omonom @t11 @t46 @t45)) % 1.02/1.29 (define @t48 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t47) @t30)) % 1.02/1.29 (define @t49 () (= @t45 @t30)) % 1.02/1.29 (define @t50 () (not @t49)) % 1.02/1.29 (define @t51 () (@var "V_b_2" $$unsorted)) % 1.02/1.29 (define @t52 () (= @t32 @t51)) % 1.02/1.29 (define @t53 () (@var "V_y_2" $$unsorted)) % 1.02/1.29 (define @t54 () (= @t13 @t53)) % 1.02/1.29 (define @t55 () (@list @t53 @t13 @t11)) % 1.02/1.29 (define @t56 () (@var "V_qa_2" $$unsorted)) % 1.02/1.29 (define @t57 () (= @t21 @t56)) % 1.02/1.29 (define @t58 () (tptp.c_Polynomial_Opoly @t11 @t21)) % 1.02/1.29 (define @t59 () (and (tptp.class_Int_Oring__char__0 @t11) @t43)) % 1.02/1.29 (define @t60 () (@list @t56 @t21 @t11)) % 1.02/1.29 (define @t61 () (@var "B_n" $$unsorted)) % 1.02/1.29 (define @t62 () (tptp.c_Polynomial_Ocoeff @t11 @t21)) % 1.02/1.29 (define @t63 () (@list @t46 @t11)) % 1.02/1.29 (define @t64 () (@list @t21 @t11)) % 1.02/1.29 (define @t65 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.02/1.29 (define @t66 () (@var "B_z" $$unsorted)) % 1.02/1.29 (define @t67 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t21)) % 1.02/1.29 (define @t68 () (@list @t66)) % 1.02/1.29 (define @t69 () (tptp.c_Polynomial_Opoly__rec @t11 @t10 @t24 @t2 @t21)) % 1.02/1.29 (define @t70 () (tptp.hAPP (tptp.hAPP @t2 @t32) @t21)) % 1.02/1.29 (define @t71 () (tptp.c_Polynomial_Opoly__rec @t11 @t10 @t24 @t2 (tptp.c_Polynomial_OpCons @t10 @t32 @t21))) % 1.02/1.29 (define @t72 () (tptp.c_Rings_Odvd__class_Odvd @t17 @t21 @t56)) % 1.02/1.29 (define @t73 () (not @t33)) % 1.02/1.29 (define @t74 () (= @t56 @t18)) % 1.02/1.29 (define @t75 () (tptp.class_Fields_Ofield @t11)) % 1.02/1.29 (define @t76 () (@list @t56 @t21 @t32 @t11)) % 1.02/1.29 (define @t77 () (@var "V_q" $$unsorted)) % 1.02/1.29 (define @t78 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t77) @t37)) % 1.02/1.29 (define @t79 () (tptp.c_Polynomial_Opoly @t11 @t40)) % 1.02/1.29 (define @t80 () (tptp.c_Polynomial_Opcompose @t11 @t40 @t77)) % 1.02/1.29 (define @t81 () (@list @t37 @t77 @t40 @t11)) % 1.02/1.29 (define @t82 () (tptp.c_Polynomial_Odegree @t11 @t40)) % 1.02/1.29 (define @t83 () (tptp.c_Polynomial_Ocoeff @t11 @t40)) % 1.02/1.29 (define @t84 () (tptp.hAPP @t83 @t82)) % 1.02/1.29 (define @t85 () (= @t40 @t18)) % 1.02/1.29 (define @t86 () (not @t85)) % 1.02/1.29 (define @t87 () (tptp.c_Polynomial_Odegree @t11 @t21)) % 1.02/1.29 (define @t88 () (tptp.hAPP @t62 @t87)) % 1.02/1.29 (define @t89 () (@list @t77 @t11)) % 1.02/1.29 (define @t90 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t11 @t21)) % 1.02/1.29 (define @t91 () (tptp.c_Groups_Otimes__class_Otimes @t6)) % 1.02/1.29 (define @t92 () (tptp.hAPP @t91 tptp.v_p)) % 1.02/1.29 (define @t93 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_p)) % 1.02/1.29 (define @t94 () (tptp.c_Power_Opower__class_Opower @t6)) % 1.02/1.29 (define @t95 () (tptp.hAPP @t94 tptp.v_q)) % 1.02/1.29 (define @t96 () (tptp.hAPP @t95 @t93)) % 1.02/1.29 (define @t97 () (= @t96 (tptp.hAPP @t92 tptp.v_r____))) % 1.02/1.29 (define @t98 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t11 @t40 @t19)) % 1.02/1.29 (define @t99 () (@var "V_b" $$unsorted)) % 1.02/1.29 (define @t100 () (tptp.c_Groups_Otimes__class_Otimes @t11)) % 1.02/1.29 (define @t101 () (tptp.hAPP @t100 @t46)) % 1.02/1.29 (define @t102 () (tptp.hAPP @t101 @t99)) % 1.02/1.29 (define @t103 () (tptp.c_Polynomial_Omonom @t11 @t99 @t30)) % 1.02/1.29 (define @t104 () (@list @t30 @t99 @t46 @t11)) % 1.02/1.29 (define @t105 () (tptp.c_Groups_Otimes__class_Otimes @t17)) % 1.02/1.29 (define @t106 () (tptp.hAPP @t105 @t77)) % 1.02/1.29 (define @t107 () (tptp.c_Polynomial_OpCons @t11 @t46 @t18)) % 1.02/1.29 (define @t108 () (tptp.c_Polynomial_OpCons @t11 @t46 @t40)) % 1.02/1.29 (define @t109 () (@list @t77 @t40 @t46 @t11)) % 1.02/1.29 (define @t110 () (tptp.c_Polynomial_Odegree @t11 @t77)) % 1.02/1.29 (define @t111 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t82 @t110)) % 1.02/1.29 (define @t112 () (tptp.hAPP @t105 @t40)) % 1.02/1.29 (define @t113 () (tptp.hAPP @t112 @t77)) % 1.02/1.29 (define @t114 () (@list @t77 @t40 @t11)) % 1.02/1.29 (define @t115 () (@var "V_c" $$unsorted)) % 1.02/1.29 (define @t116 () (= @t99 @t115)) % 1.02/1.29 (define @t117 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t115 @t46)) % 1.02/1.29 (define @t118 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t99 @t46)) % 1.02/1.29 (define @t119 () (tptp.class_Groups_Ocancel__semigroup__add @t11)) % 1.02/1.29 (define @t120 () (@list @t115 @t46 @t99 @t11)) % 1.02/1.29 (define @t121 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t115)) % 1.02/1.29 (define @t122 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t99)) % 1.02/1.29 (define @t123 () (=> (= @t122 @t121) @t116)) % 1.02/1.29 (define @t124 () (@list @t115 @t99 @t46 @t11)) % 1.02/1.29 (define @t125 () (tptp.c_Polynomial_Ocoeff @t11 @t77)) % 1.02/1.29 (define @t126 () (tptp.hAPP @t125 @t110)) % 1.02/1.29 (define @t127 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t45 @t30)) % 1.02/1.29 (define @t128 () (tptp.c_Groups_Oplus__class_Oplus @t17 @t40 @t77)) % 1.02/1.29 (define @t129 () (tptp.c_Polynomial_OpCons @t11 @t99 @t77)) % 1.02/1.29 (define @t130 () (tptp.class_Groups_Ocomm__monoid__add @t11)) % 1.02/1.29 (define @t131 () (@list @t77 @t99 @t40 @t46 @t11)) % 1.02/1.29 (define @t132 () (tptp.c_Polynomial_OpCons @t11 @t32 @t21)) % 1.02/1.29 (define @t133 () (@var "V_c_2" $$unsorted)) % 1.02/1.29 (define @t134 () (= @t51 @t133)) % 1.02/1.29 (define @t135 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t133 @t32)) % 1.02/1.29 (define @t136 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t51 @t32)) % 1.02/1.29 (define @t137 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t32 @t133)) % 1.02/1.29 (define @t138 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t32 @t51)) % 1.02/1.29 (define @t139 () (@list @t133 @t51 @t32 @t11)) % 1.02/1.29 (define @t140 () (@var "V_r" $$unsorted)) % 1.02/1.29 (define @t141 () (tptp.hAPP @t79 @t37)) % 1.02/1.29 (define @t142 () (tptp.hAPP @t100 @t37)) % 1.02/1.29 (define @t143 () (@list @t37 @t40 @t46 @t11)) % 1.02/1.29 (define @t144 () (tptp.hAPP @t100 @t99)) % 1.02/1.29 (define @t145 () (tptp.hAPP @t144 @t115)) % 1.02/1.29 (define @t146 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t99 @t115)) % 1.02/1.29 (define @t147 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t122 @t115)) % 1.02/1.29 (define @t148 () (= @t147 (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t146))) % 1.02/1.29 (define @t149 () (tptp.c_Rings_Odvd__class_Odvd @t17 @t40 @t77)) % 1.02/1.29 (define @t150 () (tptp.c_Polynomial_Osmult @t11 @t46 @t40)) % 1.02/1.29 (define @t151 () (@list @t40 @t99 @t46 @t11)) % 1.02/1.29 (define @t152 () (tptp.c_Power_Opower__class_Opower @t11)) % 1.02/1.29 (define @t153 () (tptp.c_Power_Opower__class_Opower @t17)) % 1.02/1.29 (define @t154 () (tptp.class_Rings_Ocomm__semiring__1 @t11)) % 1.02/1.29 (define @t155 () (tptp.hAPP @t125 @t30)) % 1.02/1.29 (define @t156 () (tptp.hAPP @t83 @t30)) % 1.02/1.29 (define @t157 () (@list @t30 @t77 @t40 @t11)) % 1.02/1.29 (define @t158 () (tptp.c_Polynomial_Osmult @t11 @t99 @t40)) % 1.02/1.29 (define @t159 () (tptp.c_Polynomial_Omonom @t11 @t46 @t30)) % 1.02/1.29 (define @t160 () (@list @t99 @t30 @t46 @t11)) % 1.02/1.29 (define @t161 () (tptp.c_Polynomial_OpCons @t11 @t12 @t113)) % 1.02/1.29 (define @t162 () (tptp.c_Polynomial_Osmult @t11 @t46 @t77)) % 1.02/1.29 (define @t163 () (@list @t77 @t46 @t40 @t11)) % 1.02/1.29 (define @t164 () (tptp.c_Polynomial_Osmult @t11 @t115 @t40)) % 1.02/1.29 (define @t165 () (@list @t46 @t40 @t115 @t11)) % 1.02/1.29 (define @t166 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t12 @t46) @t46)) % 1.02/1.29 (define @t167 () (tptp.class_Groups_Omonoid__add @t11)) % 1.02/1.29 (define @t168 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t32 @t32)) % 1.02/1.29 (define @t169 () (tptp.class_Groups_Olinordered__ab__group__add @t11)) % 1.02/1.29 (define @t170 () (@list @t32 @t11)) % 1.02/1.29 (define @t171 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t12) @t46)) % 1.02/1.29 (define @t172 () (tptp.c_Polynomial_Odegree @t11 @t18)) % 1.02/1.29 (define @t173 () (=> @t15 (= @t172 @t65))) % 1.02/1.29 (define @t174 () (@list @t11)) % 1.02/1.29 (define @t175 () (forall @t174 @t173)) % 1.02/1.29 (define @t176 () (tptp.hAPP @t152 @t37)) % 1.02/1.29 (define @t177 () (tptp.hAPP @t176 @t30)) % 1.02/1.29 (define @t178 () (tptp.c_Polynomial_Ocoeff @t11 @t108)) % 1.02/1.29 (define @t179 () (@list @t40 @t46 @t11)) % 1.02/1.29 (define @t180 () (tptp.c_Rings_Odvd__class_Odvd @t17 @t40 @t162)) % 1.02/1.29 (define @t181 () (@list @t46 @t77 @t40 @t11)) % 1.02/1.29 (define @t182 () (tptp.c_Rings_Odvd__class_Odvd @t17 @t150 @t77)) % 1.02/1.29 (define @t183 () (tptp.hAPP (tptp.hAPP @t105 @t18) @t77)) % 1.02/1.29 (define @t184 () (=> @t20 (= @t183 @t18))) % 1.02/1.29 (define @t185 () (forall @t89 @t184)) % 1.02/1.29 (define @t186 () (tptp.c_Polynomial_Osmult @t11 @t46 @t113)) % 1.02/1.29 (define @t187 () (tptp.c_Polynomial_Odegree @t11 @t150)) % 1.02/1.29 (define @t188 () (= @t46 @t12)) % 1.02/1.29 (define @t189 () (not @t188)) % 1.02/1.29 (define @t190 () (@list @t30 @t46 @t11)) % 1.02/1.29 (define @t191 () (@list @t30 @t40 @t46 @t11)) % 1.02/1.29 (define @t192 () (@var "B_r" $$unsorted)) % 1.02/1.29 (define @t193 () (@var "V_P_2" $$unsorted)) % 1.02/1.29 (define @t194 () (@var "V_l_2" $$unsorted)) % 1.02/1.29 (define @t195 () (tptp.class_Rings_Osemiring__0 @t11)) % 1.02/1.29 (define @t196 () (tptp.class_Rings_Odvd @t11)) % 1.02/1.29 (define @t197 () (= @t34 @t65)) % 1.02/1.29 (define @t198 () (not @t197)) % 1.02/1.29 (define @t199 () (tptp.hAPP @t152 @t32)) % 1.02/1.29 (define @t200 () (tptp.hAPP @t199 @t34)) % 1.02/1.29 (define @t201 () (tptp.class_Rings_Ozero__neq__one @t11)) % 1.02/1.29 (define @t202 () (tptp.class_Rings_Ono__zero__divisors @t11)) % 1.02/1.29 (define @t203 () (tptp.class_Rings_Omult__zero @t11)) % 1.02/1.29 (define @t204 () (tptp.class_Power_Opower @t11)) % 1.02/1.29 (define @t205 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t32 @t51)) % 1.02/1.29 (define @t206 () (= @t133 @t12)) % 1.02/1.29 (define @t207 () (or @t206 @t205)) % 1.02/1.29 (define @t208 () (tptp.hAPP @t100 @t51)) % 1.02/1.29 (define @t209 () (tptp.hAPP @t208 @t133)) % 1.02/1.29 (define @t210 () (tptp.hAPP @t100 @t32)) % 1.02/1.29 (define @t211 () (tptp.hAPP @t210 @t133)) % 1.02/1.29 (define @t212 () (@list @t51 @t133 @t32 @t11)) % 1.02/1.29 (define @t213 () (tptp.hAPP @t100 @t133)) % 1.02/1.29 (define @t214 () (tptp.hAPP @t213 @t51)) % 1.02/1.29 (define @t215 () (tptp.hAPP @t213 @t32)) % 1.02/1.29 (define @t216 () (@list @t51 @t32 @t133 @t11)) % 1.02/1.29 (define @t217 () (= @t53 @t12)) % 1.02/1.29 (define @t218 () (and @t14 @t217)) % 1.02/1.29 (define @t219 () (tptp.hAPP @t100 @t13)) % 1.02/1.29 (define @t220 () (tptp.hAPP @t219 @t13)) % 1.02/1.29 (define @t221 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t220 (tptp.hAPP (tptp.hAPP @t100 @t53) @t53))) % 1.02/1.29 (define @t222 () (tptp.class_Rings_Olinordered__ring__strict @t11)) % 1.02/1.29 (define @t223 () (@var "V_d" $$unsorted)) % 1.02/1.29 (define @t224 () (tptp.hAPP @t100 @t140)) % 1.02/1.29 (define @t225 () (= @t46 @t99)) % 1.02/1.29 (define @t226 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t11)) % 1.02/1.29 (define @t227 () (= @t30 @t65)) % 1.02/1.29 (define @t228 () (not @t227)) % 1.02/1.29 (define @t229 () (@var "V_y" $$unsorted)) % 1.02/1.29 (define @t230 () (tptp.hAPP @t152 @t229)) % 1.02/1.29 (define @t231 () (tptp.hAPP @t230 @t30)) % 1.02/1.29 (define @t232 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t37 @t229)) % 1.02/1.29 (define @t233 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t46 @t115)) % 1.02/1.29 (define @t234 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t46 @t99)) % 1.02/1.29 (define @t235 () (@var "V_ry" $$unsorted)) % 1.02/1.29 (define @t236 () (@var "V_ly" $$unsorted)) % 1.02/1.29 (define @t237 () (tptp.hAPP @t100 @t236)) % 1.02/1.29 (define @t238 () (@var "V_rx" $$unsorted)) % 1.02/1.29 (define @t239 () (@var "V_lx" $$unsorted)) % 1.02/1.29 (define @t240 () (tptp.hAPP @t100 @t239)) % 1.02/1.29 (define @t241 () (tptp.hAPP @t100 (tptp.hAPP @t240 @t238))) % 1.02/1.29 (define @t242 () (tptp.hAPP @t100 @t238)) % 1.02/1.29 (define @t243 () (tptp.hAPP @t242 @t235)) % 1.02/1.29 (define @t244 () (tptp.hAPP @t100 (tptp.hAPP @t240 @t236))) % 1.02/1.29 (define @t245 () (tptp.hAPP @t244 @t243)) % 1.02/1.29 (define @t246 () (@list @t235 @t238 @t236 @t239 @t11)) % 1.02/1.29 (define @t247 () (tptp.hAPP @t244 @t238)) % 1.02/1.29 (define @t248 () (@list @t238 @t236 @t239 @t11)) % 1.02/1.29 (define @t249 () (tptp.hAPP @t240 @t243)) % 1.02/1.29 (define @t250 () (@list @t235 @t238 @t239 @t11)) % 1.02/1.29 (define @t251 () (tptp.hAPP @t144 @t46)) % 1.02/1.29 (define @t252 () (@list @t99 @t46 @t11)) % 1.02/1.29 (define @t253 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t99 @t223)) % 1.02/1.29 (define @t254 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t115 @t223)) % 1.02/1.29 (define @t255 () (@list @t223 @t115 @t99 @t46 @t11)) % 1.02/1.29 (define @t256 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t254)) % 1.02/1.29 (define @t257 () (@list @t223 @t115 @t46 @t11)) % 1.02/1.29 (define @t258 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t99 @t115)) % 1.02/1.29 (define @t259 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.02/1.29 (define @t260 () (tptp.hAPP @t259 @t40)) % 1.02/1.29 (define @t261 () (tptp.hAPP @t176 @t40)) % 1.02/1.29 (define @t262 () (@list @t77 @t40 @t37 @t11)) % 1.02/1.29 (define @t263 () (tptp.hAPP @t152 @t46)) % 1.02/1.29 (define @t264 () (tptp.hAPP @t263 @t45)) % 1.02/1.29 (define @t265 () (tptp.hAPP @t259 @t45)) % 1.02/1.29 (define @t266 () (tptp.hAPP @t265 @t30)) % 1.02/1.29 (define @t267 () (tptp.class_Groups_Omonoid__mult @t11)) % 1.02/1.29 (define @t268 () (@list @t30 @t45 @t46 @t11)) % 1.02/1.29 (define @t269 () (= @t99 @t12)) % 1.02/1.29 (define @t270 () (= @t102 @t12)) % 1.02/1.29 (define @t271 () (not @t269)) % 1.02/1.29 (define @t272 () (= @t51 @t12)) % 1.02/1.29 (define @t273 () (tptp.hAPP @t210 @t51)) % 1.02/1.29 (define @t274 () (@list @t51 @t32 @t11)) % 1.02/1.29 (define @t275 () (= (tptp.hAPP @t101 @t12) @t12)) % 1.02/1.29 (define @t276 () (tptp.hAPP @t100 @t12)) % 1.02/1.29 (define @t277 () (= (tptp.hAPP @t276 @t46) @t12)) % 1.02/1.29 (define @t278 () (@list @t32 @t51 @t11)) % 1.02/1.29 (define @t279 () (@var "V_w_2" $$unsorted)) % 1.02/1.29 (define @t280 () (tptp.hAPP @t100 @t279)) % 1.02/1.29 (define @t281 () (tptp.hAPP @t219 @t24)) % 1.02/1.29 (define @t282 () (tptp.hAPP @t280 @t53)) % 1.02/1.29 (define @t283 () (@var "V_e" $$unsorted)) % 1.02/1.29 (define @t284 () (tptp.hAPP @t100 @t122)) % 1.02/1.29 (define @t285 () (tptp.hAPP @t101 @t45)) % 1.02/1.29 (define @t286 () (tptp.hAPP @t101 @t115)) % 1.02/1.29 (define @t287 () (= (tptp.hAPP @t284 @t115) (tptp.c_Groups_Oplus__class_Oplus @t11 @t286 @t145))) % 1.02/1.29 (define @t288 () (@var "V_d_2" $$unsorted)) % 1.02/1.29 (define @t289 () (tptp.hAPP @t210 @t288)) % 1.02/1.29 (define @t290 () (= @t133 @t288)) % 1.02/1.29 (define @t291 () (@list @t288 @t133 @t51 @t32 @t11)) % 1.02/1.29 (define @t292 () (@var "V_z" $$unsorted)) % 1.02/1.29 (define @t293 () (tptp.hAPP @t142 @t292)) % 1.02/1.29 (define @t294 () (tptp.hAPP @t142 @t229)) % 1.02/1.29 (define @t295 () (@list @t292 @t229 @t37 @t11)) % 1.02/1.29 (define @t296 () (tptp.hAPP @t263 @t30)) % 1.02/1.29 (define @t297 () (tptp.class_Rings_Oring__1__no__zero__divisors @t11)) % 1.02/1.29 (define @t298 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t102 @t115)) % 1.02/1.29 (define @t299 () (@var "V_k" $$unsorted)) % 1.02/1.29 (define @t300 () (tptp.hAPP @t144 @t223)) % 1.02/1.29 (define @t301 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t46 @t145)) % 1.02/1.29 (define @t302 () (@list @t99 @t115 @t46 @t11)) % 1.02/1.29 (define @t303 () (tptp.hAPP @t176 @t77)) % 1.02/1.29 (define @t304 () (tptp.hAPP @t100 @t303)) % 1.02/1.29 (define @t305 () (tptp.hAPP (tptp.hAPP @t152 @t99) @t30)) % 1.02/1.29 (define @t306 () (tptp.hAPP @t100 @t296)) % 1.02/1.29 (define @t307 () (tptp.class_Groups_Ocomm__monoid__mult @t11)) % 1.02/1.29 (define @t308 () (tptp.hAPP @t101 @t296)) % 1.02/1.29 (define @t309 () (tptp.hAPP @t306 @t46)) % 1.02/1.29 (define @t310 () (tptp.c_Polynomial_Osynthetic__div @t11 @t40 @t115)) % 1.02/1.29 (define @t311 () (tptp.hAPP @t79 @t115)) % 1.02/1.29 (define @t312 () (tptp.c_Polynomial_OpCons @t11 @t311 @t310)) % 1.02/1.29 (define @t313 () (@list @t115 @t40 @t11)) % 1.02/1.29 (define @t314 () (@list @t30 @t45)) % 1.02/1.29 (define @t315 () (@var "V_m_2" $$unsorted)) % 1.02/1.29 (define @t316 () (= @t315 @t65)) % 1.02/1.29 (define @t317 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t315 @t34)) % 1.02/1.29 (define @t318 () (@list @t34 @t315)) % 1.02/1.29 (define @t319 () (@list @t45)) % 1.02/1.29 (define @t320 () (@list @t30)) % 1.02/1.29 (define @t321 () (@var "V_ya" $$unsorted)) % 1.02/1.29 (define @t322 () (tptp.hAPP @t100 @t229)) % 1.02/1.29 (define @t323 () (tptp.hAPP @t322 @t321)) % 1.02/1.29 (define @t324 () (tptp.hAPP @t142 @t321)) % 1.02/1.29 (define @t325 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t229)) % 1.02/1.29 (define @t326 () (tptp.class_RealVector_Oreal__normed__algebra @t11)) % 1.02/1.29 (define @t327 () (@list @t321 @t229 @t37 @t11)) % 1.02/1.29 (define @t328 () (@var "V_a_H" $$unsorted)) % 1.02/1.29 (define @t329 () (tptp.hAPP @t100 @t328)) % 1.02/1.29 (define @t330 () (tptp.hAPP @t329 @t99)) % 1.02/1.29 (define @t331 () (@list @t99 @t328 @t46 @t11)) % 1.02/1.29 (define @t332 () (@var "V_xa" $$unsorted)) % 1.02/1.29 (define @t333 () (tptp.hAPP @t100 @t332)) % 1.02/1.29 (define @t334 () (tptp.hAPP @t333 @t229)) % 1.02/1.29 (define @t335 () (tptp.hAPP @t333 @t37)) % 1.02/1.29 (define @t336 () (@list @t229 @t37 @t332 @t11)) % 1.02/1.29 (define @t337 () (tptp.hAPP @t259 @t30)) % 1.02/1.29 (define @t338 () (tptp.hAPP @t337 @t45)) % 1.02/1.29 (define @t339 () (tptp.hAPP @t337 @t299)) % 1.02/1.29 (define @t340 () (@list @t299 @t30 @t45)) % 1.02/1.29 (define @t341 () (tptp.hAPP @t259 @t315)) % 1.02/1.29 (define @t342 () (tptp.hAPP @t341 @t34)) % 1.02/1.29 (define @t343 () (@var "V_k_2" $$unsorted)) % 1.02/1.29 (define @t344 () (= @t343 @t65)) % 1.02/1.29 (define @t345 () (= @t315 @t34)) % 1.02/1.29 (define @t346 () (or @t345 @t344)) % 1.02/1.29 (define @t347 () (tptp.hAPP @t259 @t343)) % 1.02/1.29 (define @t348 () (tptp.hAPP @t347 @t34)) % 1.02/1.29 (define @t349 () (tptp.hAPP @t347 @t315)) % 1.02/1.29 (define @t350 () (= @t349 @t348)) % 1.02/1.29 (define @t351 () (@list @t34 @t315 @t343)) % 1.02/1.29 (define @t352 () (tptp.hAPP @t259 @t34)) % 1.02/1.29 (define @t353 () (tptp.hAPP @t352 @t343)) % 1.02/1.29 (define @t354 () (tptp.hAPP @t341 @t343)) % 1.02/1.29 (define @t355 () (@list @t34 @t343 @t315)) % 1.02/1.29 (define @t356 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t34 @t343)) % 1.02/1.29 (define @t357 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t343 @t34)) % 1.02/1.29 (define @t358 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t343 @t315)) % 1.02/1.29 (define @t359 () (tptp.hAPP @t265 @t299)) % 1.02/1.29 (define @t360 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 @t299)) % 1.02/1.29 (define @t361 () (tptp.hAPP @t259 @t299)) % 1.02/1.29 (define @t362 () (tptp.hAPP @t361 @t30)) % 1.02/1.29 (define @t363 () (tptp.hAPP @t361 @t45)) % 1.02/1.29 (define @t364 () (@list @t30 @t45 @t299)) % 1.02/1.29 (define @t365 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t229 @t292)) % 1.02/1.29 (define @t366 () (@list @t292 @t229 @t37)) % 1.02/1.29 (define @t367 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 @t45)) % 1.02/1.29 (define @t368 () (@list @t133 @t21 @t11)) % 1.02/1.29 (define @t369 () (@list @t229 @t11)) % 1.02/1.29 (define @t370 () (@var "V_b_H" $$unsorted)) % 1.02/1.29 (define @t371 () (tptp.hAPP @t101 @t370)) % 1.02/1.29 (define @t372 () (@list @t370 @t99 @t46 @t11)) % 1.02/1.29 (define @t373 () (@var "V_u" $$unsorted)) % 1.02/1.29 (define @t374 () (@var "V_j" $$unsorted)) % 1.02/1.29 (define @t375 () (@var "V_i" $$unsorted)) % 1.02/1.29 (define @t376 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t375 @t374)) % 1.02/1.29 (define @t377 () (tptp.hAPP @t259 @t374)) % 1.02/1.29 (define @t378 () (tptp.hAPP @t259 @t375)) % 1.02/1.29 (define @t379 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t315 @t34)) % 1.02/1.29 (define @t380 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t349 @t348)) % 1.02/1.29 (define @t381 () (tptp.c_Groups_Oone__class_Oone @t11)) % 1.02/1.29 (define @t382 () (tptp.class_Rings_Ocomm__ring__1 @t11)) % 1.02/1.29 (define @t383 () (tptp.c_Polynomial_OpCons @t11 @t381 @t18)) % 1.02/1.29 (define @t384 () (tptp.hAPP (tptp.hAPP @t153 (tptp.c_Polynomial_OpCons @t11 @t46 @t383)) @t30)) % 1.02/1.29 (define @t385 () (tptp.c_Nat_OSuc @t82)) % 1.02/1.29 (define @t386 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t11 @t40)) % 1.02/1.29 (define @t387 () (@list @t37)) % 1.02/1.29 (define @t388 () (tptp.c_Nat_OSuc @t65)) % 1.02/1.29 (define @t389 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.02/1.29 (define @t390 () (= @t315 @t389)) % 1.02/1.29 (define @t391 () (@list @t315)) % 1.02/1.29 (define @t392 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t53 @t13)) % 1.02/1.29 (define @t393 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t13 @t53)) % 1.02/1.29 (define @t394 () (@list @t53 @t13)) % 1.02/1.29 (define @t395 () (and @t393 (not @t392))) % 1.02/1.29 (define @t396 () (not @t54)) % 1.02/1.29 (define @t397 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t99 @t46)) % 1.02/1.29 (define @t398 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t46 @t99)) % 1.02/1.29 (define @t399 () (and @t398 (not @t397))) % 1.02/1.29 (define @t400 () (not @t225)) % 1.02/1.29 (define @t401 () (@list @t99 @t46)) % 1.02/1.30 (define @t402 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t37 @t229)) % 1.02/1.30 (define @t403 () (= @t37 @t229)) % 1.02/1.30 (define @t404 () (@list @t229 @t37)) % 1.02/1.30 (define @t405 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t229 @t37)) % 1.02/1.30 (define @t406 () (and @t402 (not @t405))) % 1.02/1.30 (define @t407 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t46 @t115)) % 1.02/1.30 (define @t408 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t99 @t115)) % 1.02/1.30 (define @t409 () (@list @t115 @t99 @t46)) % 1.02/1.30 (define @t410 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t30 @t45)) % 1.02/1.30 (define @t411 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t45 @t30)) % 1.02/1.30 (define @t412 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t37 @t292)) % 1.02/1.30 (define @t413 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t229 @t292)) % 1.02/1.30 (define @t414 () (and @t407 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t115 @t46)))) % 1.02/1.30 (define @t415 () (and @t412 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t292 @t37)))) % 1.02/1.30 (define @t416 () (=> (and @t413 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t292 @t229))) @t415)) % 1.02/1.30 (define @t417 () (not @t403)) % 1.02/1.30 (define @t418 () (tptp.c_Nat_OSuc @t30)) % 1.02/1.30 (define @t419 () (@var "V_nat_H_2" $$unsorted)) % 1.02/1.30 (define @t420 () (@var "V_nat_2" $$unsorted)) % 1.02/1.30 (define @t421 () (tptp.c_Groups_Oone__class_Oone @t17)) % 1.02/1.30 (define @t422 () (= @t13 @t381)) % 1.02/1.30 (define @t423 () (not (= @t12 @t381))) % 1.02/1.30 (define @t424 () (forall @t174 (=> @t201 @t423))) % 1.02/1.30 (define @t425 () (= (tptp.hAPP @t101 @t381) @t46)) % 1.02/1.30 (define @t426 () (= (tptp.hAPP (tptp.hAPP @t100 @t381) @t46) @t46)) % 1.02/1.30 (define @t427 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.02/1.30 (define @t428 () (tptp.hAPP @t427 @t13)) % 1.02/1.30 (define @t429 () (= @t315 @t388)) % 1.02/1.30 (define @t430 () (tptp.c_Nat_OSuc @t45)) % 1.02/1.30 (define @t431 () (@var "V_nat_H_1" $$unsorted)) % 1.02/1.30 (define @t432 () (@var "V_nat_H" $$unsorted)) % 1.02/1.30 (define @t433 () (tptp.c_Nat_OSuc @t127)) % 1.02/1.30 (define @t434 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t45 @t418)) % 1.02/1.30 (define @t435 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t430 @t30)) % 1.02/1.30 (define @t436 () (tptp.hAPP @t259 (tptp.c_Nat_OSuc @t343))) % 1.02/1.30 (define @t437 () (tptp.hAPP @t436 @t34)) % 1.02/1.30 (define @t438 () (tptp.hAPP @t436 @t315)) % 1.02/1.30 (define @t439 () (= @t34 @t389)) % 1.02/1.30 (define @t440 () (and @t390 @t439)) % 1.02/1.30 (define @t441 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t421) @t30)) % 1.02/1.30 (define @t442 () (tptp.hAPP @t152 @t12)) % 1.02/1.30 (define @t443 () (and @t204 @t195)) % 1.02/1.30 (define @t444 () (tptp.hAPP @t176 (tptp.c_Nat_OSuc @t77))) % 1.02/1.30 (define @t445 () (@list @t77 @t37 @t11)) % 1.02/1.30 (define @t446 () (tptp.hAPP @t142 @t303)) % 1.02/1.30 (define @t447 () (tptp.hAPP @t263 @t418)) % 1.02/1.30 (define @t448 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t381)) % 1.02/1.30 (define @t449 () (tptp.hAPP (tptp.hAPP @t100 @t448) @t45)) % 1.02/1.30 (define @t450 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t381 @t381)) % 1.02/1.30 (define @t451 () (= @t34 @t388)) % 1.02/1.30 (define @t452 () (or (and @t429 @t197) (and @t316 @t451))) % 1.02/1.30 (define @t453 () (tptp.hAPP @t176 @t65)) % 1.02/1.30 (define @t454 () (=> @t154 (= @t453 @t381))) % 1.02/1.30 (define @t455 () (forall @t39 @t454)) % 1.02/1.30 (define @t456 () (= @t45 @t65)) % 1.02/1.30 (define @t457 () (tptp.hAPP @t442 @t30)) % 1.02/1.30 (define @t458 () (tptp.c_Polynomial_Odegree @t11 @t108)) % 1.02/1.30 (define @t459 () (=> @t86 (= @t458 @t385))) % 1.02/1.30 (define @t460 () (@list @t46 @t40 @t11)) % 1.02/1.30 (define @t461 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.02/1.30 (define @t462 () (tptp.hAPP @t461 @t37)) % 1.02/1.30 (define @t463 () (tptp.hAPP @t462 @t229)) % 1.02/1.30 (define @t464 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.02/1.30 (define @t465 () (tptp.c_Polynomial_Oorder @t11 @t46 @t40)) % 1.02/1.30 (define @t466 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t46)) % 1.02/1.30 (define @t467 () (tptp.hAPP @t153 (tptp.c_Polynomial_OpCons @t11 @t466 @t383))) % 1.02/1.30 (define @t468 () (not (tptp.c_Rings_Odvd__class_Odvd @t17 (tptp.hAPP @t467 (tptp.c_Nat_OSuc @t465)) @t40))) % 1.02/1.30 (define @t469 () (tptp.c_Rings_Odvd__class_Odvd @t17 (tptp.hAPP @t467 @t465) @t40)) % 1.02/1.30 (define @t470 () (@list @t51 @t32 @t34)) % 1.02/1.30 (define @t471 () (@list @t99 @t30 @t46)) % 1.02/1.30 (define @t472 () (@var "V_t_2" $$unsorted)) % 1.02/1.30 (define @t473 () (tptp.hAPP @t464 @t343)) % 1.02/1.30 (define @t474 () (tptp.hAPP @t473 @t315)) % 1.02/1.30 (define @t475 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.02/1.30 (define @t476 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t45 @t30)) % 1.02/1.30 (define @t477 () (tptp.hAPP @t464 @t299)) % 1.02/1.30 (define @t478 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.02/1.30 (define @t479 () (@list @t292)) % 1.02/1.30 (define @t480 () (tptp.hAPP @t464 @t292)) % 1.02/1.30 (define @t481 () (@var "V_w" $$unsorted)) % 1.02/1.30 (define @t482 () (tptp.hAPP @t464 @t481)) % 1.02/1.30 (define @t483 () (tptp.hAPP @t480 @t481)) % 1.02/1.30 (define @t484 () (@list @t481 @t292)) % 1.02/1.30 (define @t485 () (@var "V_z2" $$unsorted)) % 1.02/1.30 (define @t486 () (tptp.hAPP @t482 @t485)) % 1.02/1.30 (define @t487 () (@var "V_z1" $$unsorted)) % 1.02/1.30 (define @t488 () (tptp.hAPP @t482 @t487)) % 1.02/1.30 (define @t489 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t487 @t485)) % 1.02/1.30 (define @t490 () (@list @t485 @t487 @t481)) % 1.02/1.30 (define @t491 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t292)) % 1.02/1.30 (define @t492 () (@var "V_z3" $$unsorted)) % 1.02/1.30 (define @t493 () (tptp.hAPP @t464 @t485)) % 1.02/1.30 (define @t494 () (tptp.hAPP @t464 @t487)) % 1.02/1.30 (define @t495 () (@list @t492 @t485 @t487)) % 1.02/1.30 (define @t496 () (tptp.hAPP @t493 @t481)) % 1.02/1.30 (define @t497 () (tptp.hAPP @t494 @t481)) % 1.02/1.30 (define @t498 () (@list @t481 @t485 @t487)) % 1.02/1.30 (define @t499 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t40)) % 1.02/1.30 (define @t500 () (tptp.class_Groups_Oab__group__add @t11)) % 1.02/1.30 (define @t501 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t150)) % 1.02/1.30 (define @t502 () (tptp.class_Rings_Ocomm__ring @t11)) % 1.02/1.30 (define @t503 () (@list @t30 @t40 @t11)) % 1.02/1.30 (define @t504 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t51)) % 1.02/1.30 (define @t505 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t32)) % 1.02/1.30 (define @t506 () (tptp.class_Groups_Ogroup__add @t11)) % 1.02/1.30 (define @t507 () (= @t32 @t504)) % 1.02/1.30 (define @t508 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t37)) % 1.02/1.30 (define @t509 () (@list @t229 @t37 @t11)) % 1.02/1.30 (define @t510 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t102)) % 1.02/1.30 (define @t511 () (tptp.hAPP @t100 @t466)) % 1.02/1.30 (define @t512 () (tptp.hAPP @t511 @t99)) % 1.02/1.30 (define @t513 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t99)) % 1.02/1.30 (define @t514 () (tptp.hAPP @t101 @t513)) % 1.02/1.30 (define @t515 () (tptp.class_Rings_Oring @t11)) % 1.02/1.30 (define @t516 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t122)) % 1.02/1.30 (define @t517 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t13 @t53)) % 1.02/1.30 (define @t518 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t53)) % 1.02/1.30 (define @t519 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t13)) % 1.02/1.30 (define @t520 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t466 @t46) @t12)) % 1.02/1.30 (define @t521 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t381)) % 1.02/1.30 (define @t522 () (tptp.class_Rings_Oring__1 @t11)) % 1.02/1.30 (define @t523 () (@var "V_one_2" $$unsorted)) % 1.02/1.30 (define @t524 () (@var "V_times_2" $$unsorted)) % 1.02/1.30 (define @t525 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t11 @t523 @t524) @t32)) % 1.02/1.30 (define @t526 () (tptp.c_Nat_OSuc @t34)) % 1.02/1.30 (define @t527 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t133)) % 1.02/1.30 (define @t528 () (tptp.c_Nat_OSuc @t388)) % 1.02/1.30 (define @t529 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t13 @t53) @t12)) % 1.02/1.30 (define @t530 () (tptp.c_Polynomial_Opoly__gcd @t11 @t37 @t229)) % 1.02/1.30 (define @t531 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t530) (tptp.c_Polynomial_Odegree @t11 @t530))) % 1.02/1.30 (define @t532 () (= @t229 @t18)) % 1.02/1.30 (define @t533 () (= @t37 @t18)) % 1.02/1.30 (define @t534 () (and @t533 @t532)) % 1.02/1.30 (define @t535 () (not @t534)) % 1.02/1.30 (define @t536 () (@var "B_q" $$unsorted)) % 1.02/1.30 (define @t537 () (@var "B_a" $$unsorted)) % 1.02/1.30 (define @t538 () (@var "B_k" $$unsorted)) % 1.02/1.30 (define @t539 () (@list @t536)) % 1.02/1.30 (define @t540 () (@var "V_nat" $$unsorted)) % 1.02/1.30 (define @t541 () (tptp.c_Nat_OSuc @t540)) % 1.02/1.30 (define @t542 () (@list @t540)) % 1.02/1.30 (define @t543 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t45 @t389)) % 1.02/1.30 (define @t544 () (tptp.hAPP @t427 @t40)) % 1.02/1.30 (define @t545 () (tptp.hAPP @t544 @t45)) % 1.02/1.30 (define @t546 () (not @t456)) % 1.02/1.30 (define @t547 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t288 @t472)) % 1.02/1.30 (define @t548 () (@list @t472 @t288)) % 1.02/1.30 (define @t549 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t481)) % 1.02/1.30 (define @t550 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t292 @t481)) % 1.02/1.30 (define @t551 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t37)) % 1.02/1.30 (define @t552 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t229)) % 1.02/1.30 (define @t553 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t375 @t374) @t299)) % 1.02/1.30 (define @t554 () (@list @t299 @t374 @t375)) % 1.02/1.30 (define @t555 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t46 @t99)) % 1.02/1.30 (define @t556 () (tptp.c_Polynomial_Opoly__gcd @t11 @t46 @t99)) % 1.02/1.30 (define @t557 () (tptp.c_Polynomial_Opoly__gcd @t11 @t46 (tptp.c_Polynomial_Opoly__gcd @t11 @t99 @t115))) % 1.02/1.30 (define @t558 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t32 @t51)) % 1.02/1.30 (define @t559 () (= @t558 (tptp.c_Groups_Ominus__class_Ominus @t11 @t133 @t288))) % 1.02/1.30 (define @t560 () (tptp.c_Groups_Ominus__class_Ominus @t17 @t40 @t77)) % 1.02/1.30 (define @t561 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t481 @t292)) % 1.02/1.30 (define @t562 () (= @t558 @t12)) % 1.02/1.30 (define @t563 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t37 @t229)) % 1.02/1.30 (define @t564 () (tptp.hAPP @t100 @t563)) % 1.02/1.30 (define @t565 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t99 @t46)) % 1.02/1.30 (define @t566 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t555)) % 1.02/1.30 (define @t567 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t45 @t30)) % 1.02/1.30 (define @t568 () (@list @t45 @t30)) % 1.02/1.30 (define @t569 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t374 @t299)) % 1.02/1.30 (define @t570 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t299 @t30)) % 1.02/1.30 (define @t571 () (tptp.hAPP @t100 (tptp.c_Groups_Ominus__class_Ominus @t11 @t37 @t46))) % 1.02/1.30 (define @t572 () (tptp.hAPP @t571 @t99)) % 1.02/1.30 (define @t573 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t229 @t99)) % 1.02/1.30 (define @t574 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t294 @t102)) % 1.02/1.30 (define @t575 () (@list @t99 @t46 @t229 @t37 @t11)) % 1.02/1.30 (define @t576 () (= @t53 @t18)) % 1.02/1.30 (define @t577 () (tptp.c_Polynomial_Opoly__gcd @t11 @t13 @t53)) % 1.02/1.30 (define @t578 () (tptp.hAPP @t142 @t37)) % 1.02/1.30 (define @t579 () (@var "V_e_2" $$unsorted)) % 1.02/1.30 (define @t580 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP (tptp.hAPP @t100 @t558) @t579) @t133)) % 1.02/1.30 (define @t581 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t208 @t579) @t288)) % 1.02/1.30 (define @t582 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t210 @t579) @t133)) % 1.02/1.30 (define @t583 () (= @t582 @t581)) % 1.02/1.30 (define @t584 () (@list @t288 @t51 @t133 @t579 @t32 @t11)) % 1.02/1.30 (define @t585 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP (tptp.hAPP @t100 (tptp.c_Groups_Ominus__class_Ominus @t11 @t51 @t32)) @t579) @t288)) % 1.02/1.30 (define @t586 () (= @t555 (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t513))) % 1.02/1.30 (define @t587 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t229)) % 1.02/1.30 (define @t588 () (@var "V_D_2" $$unsorted)) % 1.02/1.30 (define @t589 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t389)) % 1.02/1.30 (define @t590 () (tptp.hAPP @t152 @t45)) % 1.02/1.30 (define @t591 () (tptp.hAPP @t100 @t45)) % 1.02/1.30 (define @t592 () (tptp.hAPP @t590 @t30)) % 1.02/1.30 (define @t593 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t223) (tptp.c_Polynomial_Odegree @t11 @t223))) % 1.02/1.30 (define @t594 () (@list @t538)) % 1.02/1.30 (define @t595 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t487 @t485)) % 1.02/1.30 (define @t596 () (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t299 @t30) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t299 @t45))) % 1.02/1.30 (define @t597 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t292 @t549)) % 1.02/1.30 (define @t598 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t292 @t481)) % 1.02/1.30 (define @t599 () (tptp.c_Polynomial_Odegree @t11 @t37)) % 1.02/1.30 (define @t600 () (tptp.c_Polynomial_Osmult @t11 (tptp.c_Rings_Oinverse__class_Oinverse @t11 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t37) @t599)) @t37)) % 1.02/1.30 (define @t601 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t30)) % 1.02/1.30 (define @t602 () (@list @t37 @t30 @t11)) % 1.02/1.30 (define @t603 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t430 @t418)) % 1.02/1.30 (define @t604 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t45 @t30)) % 1.02/1.30 (define @t605 () (tptp.c_Orderings_Oord__class_Oless @t11 @t46 @t99)) % 1.02/1.30 (define @t606 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t115 @t99)) % 1.02/1.30 (define @t607 () (tptp.c_Orderings_Oord__class_Oless @t11 @t117 @t606)) % 1.02/1.30 (define @t608 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t11)) % 1.02/1.30 (define @t609 () (@list @t99 @t46 @t115 @t11)) % 1.02/1.30 (define @t610 () (tptp.c_Orderings_Oord__class_Oless @t11 @t121 @t146)) % 1.02/1.30 (define @t611 () (tptp.c_Orderings_Oord__class_Oless @t11 @t121 @t253)) % 1.02/1.30 (define @t612 () (tptp.c_Orderings_Oord__class_Oless @t11 @t115 @t223)) % 1.02/1.30 (define @t613 () (=> @t612 @t611)) % 1.02/1.30 (define @t614 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t11)) % 1.02/1.30 (define @t615 () (tptp.c_Orderings_Oord__class_Oless @t11 @t32 @t51)) % 1.02/1.30 (define @t616 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t133 @t51)) % 1.02/1.30 (define @t617 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t51 @t133)) % 1.02/1.30 (define @t618 () (tptp.class_Groups_Oordered__ab__group__add @t11)) % 1.02/1.30 (define @t619 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t34)) % 1.02/1.30 (define @t620 () (@list @t34)) % 1.02/1.30 (define @t621 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t430 @t30)) % 1.02/1.30 (define @t622 () (not @t604)) % 1.02/1.30 (define @t623 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t45 @t418)) % 1.02/1.30 (define @t624 () (tptp.c_Nat_OSuc @t375)) % 1.02/1.30 (define @t625 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t374 @t299)) % 1.02/1.30 (define @t626 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t375 @t374)) % 1.02/1.30 (define @t627 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t45)) % 1.02/1.30 (define @t628 () (tptp.c_Nat_OSuc @t315)) % 1.02/1.30 (define @t629 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t34 @t628)) % 1.02/1.30 (define @t630 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t34 @t315)) % 1.02/1.30 (define @t631 () (@list @t315 @t34)) % 1.02/1.30 (define @t632 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t315 @t34)) % 1.02/1.30 (define @t633 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t315 @t526)) % 1.02/1.30 (define @t634 () (@var "V_l" $$unsorted)) % 1.02/1.30 (define @t635 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t299 @t634)) % 1.02/1.30 (define @t636 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t375 @t299)) % 1.02/1.30 (define @t637 () (@list @t45 @t374 @t375)) % 1.02/1.30 (define @t638 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t229)) % 1.02/1.30 (define @t639 () (@var "V_t" $$unsorted)) % 1.02/1.30 (define @t640 () (@var "V_s" $$unsorted)) % 1.02/1.30 (define @t641 () (tptp.hAPP @t193 @t34)) % 1.02/1.30 (define @t642 () (tptp.hBOOL (tptp.hAPP @t641 @t315))) % 1.02/1.30 (define @t643 () (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t46)) % 1.02/1.30 (define @t644 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t643) @t46)) % 1.02/1.30 (define @t645 () (tptp.class_Rings_Odivision__ring__inverse__zero @t11)) % 1.02/1.30 (define @t646 () (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t32)) % 1.02/1.30 (define @t647 () (tptp.class_Rings_Olinordered__idom @t11)) % 1.02/1.30 (define @t648 () (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t99)) % 1.02/1.30 (define @t649 () (= @t643 @t648)) % 1.02/1.30 (define @t650 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t296) (tptp.hAPP (tptp.hAPP @t152 @t643) @t30))) % 1.02/1.30 (define @t651 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t466) (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t643))) % 1.02/1.30 (define @t652 () (tptp.class_Rings_Odivision__ring @t11)) % 1.02/1.30 (define @t653 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t12) @t12)) % 1.02/1.30 (define @t654 () (= @t643 @t12)) % 1.02/1.30 (define @t655 () (tptp.hAPP @t152 @t51)) % 1.02/1.30 (define @t656 () (tptp.hAPP @t655 @t53)) % 1.02/1.30 (define @t657 () (tptp.hAPP @t655 @t13)) % 1.02/1.30 (define @t658 () (tptp.c_Orderings_Oord__class_Oless @t11 @t381 @t51)) % 1.02/1.30 (define @t659 () (tptp.class_Rings_Olinordered__semidom @t11)) % 1.02/1.30 (define @t660 () (@list @t53 @t13 @t51 @t11)) % 1.02/1.30 (define @t661 () (tptp.c_Orderings_Oord__class_Oless @t11 @t381 @t46)) % 1.02/1.30 (define @t662 () (@var "V_N" $$unsorted)) % 1.02/1.30 (define @t663 () (tptp.hAPP @t263 @t662)) % 1.02/1.30 (define @t664 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t662)) % 1.02/1.30 (define @t665 () (@list @t46 @t662 @t30 @t11)) % 1.02/1.30 (define @t666 () (tptp.c_Orderings_Oord__class_Oless @t11 @t46 @t381)) % 1.02/1.30 (define @t667 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t46)) % 1.02/1.30 (define @t668 () (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t102)) % 1.02/1.30 (define @t669 () (tptp.hAPP @t100 @t115)) % 1.02/1.30 (define @t670 () (tptp.hAPP @t669 @t99)) % 1.02/1.30 (define @t671 () (tptp.hAPP @t669 @t46)) % 1.02/1.30 (define @t672 () (tptp.c_Orderings_Oord__class_Oless @t11 @t671 @t670)) % 1.02/1.30 (define @t673 () (tptp.c_Orderings_Oord__class_Oless @t11 @t115 @t12)) % 1.02/1.30 (define @t674 () (tptp.c_Orderings_Oord__class_Oless @t11 @t99 @t46)) % 1.02/1.30 (define @t675 () (tptp.c_Orderings_Oord__class_Oless @t11 @t286 @t145)) % 1.02/1.30 (define @t676 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t115)) % 1.02/1.30 (define @t677 () (=> @t605 (=> @t676 @t672))) % 1.02/1.30 (define @t678 () (tptp.class_Rings_Olinordered__semiring__strict @t11)) % 1.02/1.30 (define @t679 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t102)) % 1.02/1.30 (define @t680 () (tptp.c_Orderings_Oord__class_Oless @t11 @t99 @t12)) % 1.02/1.30 (define @t681 () (tptp.c_Orderings_Oord__class_Oless @t11 @t46 @t12)) % 1.02/1.30 (define @t682 () (tptp.c_Orderings_Oord__class_Oless @t11 @t102 @t12)) % 1.02/1.30 (define @t683 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t99)) % 1.02/1.30 (define @t684 () (tptp.c_Orderings_Oord__class_Oless @t11 @t51 @t32)) % 1.02/1.30 (define @t685 () (tptp.c_Orderings_Oord__class_Oless @t11 @t215 @t214)) % 1.02/1.30 (define @t686 () (tptp.c_Orderings_Oord__class_Oless @t11 @t133 @t12)) % 1.02/1.30 (define @t687 () (=> @t667 @t683)) % 1.02/1.30 (define @t688 () (@list @t46 @t99 @t11)) % 1.02/1.30 (define @t689 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t133)) % 1.02/1.30 (define @t690 () (or (and @t689 @t615) (and @t686 @t684))) % 1.02/1.30 (define @t691 () (tptp.hAPP @t101 @t46)) % 1.02/1.30 (define @t692 () (tptp.class_Rings_Olinordered__ring @t11)) % 1.02/1.30 (define @t693 () (tptp.c_Orderings_Oord__class_Oless @t11 @t32 @t12)) % 1.02/1.30 (define @t694 () (= (tptp.c_Orderings_Oord__class_Oless @t11 @t168 @t12) @t693)) % 1.02/1.30 (define @t695 () (tptp.c_Orderings_Oord__class_Oless @t11 @t99 @t121)) % 1.02/1.30 (define @t696 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t32)) % 1.02/1.30 (define @t697 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t122)) % 1.02/1.30 (define @t698 () (=> @t683 @t697)) % 1.02/1.30 (define @t699 () (tptp.class_Groups_Oordered__comm__monoid__add @t11)) % 1.02/1.30 (define @t700 () (@var "B_j" $$unsorted)) % 1.02/1.30 (define @t701 () (@var "B_m" $$unsorted)) % 1.02/1.30 (define @t702 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t45)) % 1.02/1.30 (define @t703 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t315)) % 1.02/1.30 (define @t704 () (@list @t45 @t375)) % 1.02/1.30 (define @t705 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t349 @t348)) % 1.02/1.30 (define @t706 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t343)) % 1.02/1.30 (define @t707 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t299)) % 1.02/1.30 (define @t708 () (and @t706 @t632)) % 1.02/1.30 (define @t709 () (@var "V_j_2" $$unsorted)) % 1.02/1.30 (define @t710 () (@var "V_i_2" $$unsorted)) % 1.02/1.30 (define @t711 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t13)) % 1.02/1.30 (define @t712 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 (tptp.hAPP @t428 @t34))) % 1.02/1.30 (define @t713 () (@list @t34 @t13)) % 1.02/1.30 (define @t714 () (tptp.hAPP @t427 @t375)) % 1.02/1.30 (define @t715 () (tptp.c_Polynomial_Odegree @t11 @t128)) % 1.02/1.30 (define @t716 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t110 @t30)) % 1.02/1.30 (define @t717 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t82 @t30)) % 1.02/1.30 (define @t718 () (@list @t77 @t30 @t40 @t11)) % 1.02/1.30 (define @t719 () (tptp.hAPP @t100 @t643)) % 1.02/1.30 (define @t720 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t643 @t648)) % 1.02/1.30 (define @t721 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t643 @t648)) % 1.02/1.30 (define @t722 () (=> @t189 (= (tptp.hAPP @t719 @t46) @t381))) % 1.02/1.30 (define @t723 () (not @t217)) % 1.02/1.30 (define @t724 () (tptp.c_Orderings_Oord__class_Oless @t11 @t582 @t581)) % 1.02/1.30 (define @t725 () (tptp.class_Rings_Oordered__ring @t11)) % 1.02/1.30 (define @t726 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t388 @t45)) % 1.02/1.30 (define @t727 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t388 @t30)) % 1.02/1.30 (define @t728 () (@var "B_d" $$unsorted)) % 1.02/1.30 (define @t729 () (tptp.hBOOL (tptp.hAPP @t193 @t728))) % 1.02/1.30 (define @t730 () (= @t32 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t51 @t728))) % 1.02/1.30 (define @t731 () (@list @t728)) % 1.02/1.30 (define @t732 () (tptp.hBOOL (tptp.hAPP @t193 @t65))) % 1.02/1.30 (define @t733 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t51)) % 1.02/1.30 (define @t734 () (tptp.hBOOL (tptp.hAPP @t193 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t32 @t51)))) % 1.02/1.30 (define @t735 () (@list @t51 @t32 @t193)) % 1.02/1.30 (define @t736 () (tptp.c_Nat_OSuc @t589)) % 1.02/1.30 (define @t737 () (tptp.class_Fields_Olinordered__field @t11)) % 1.02/1.30 (define @t738 () (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t13)) % 1.02/1.30 (define @t739 () (tptp.class_Fields_Olinordered__field__inverse__zero @t11)) % 1.02/1.30 (define @t740 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t375 @t374)) % 1.02/1.30 (define @t741 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t475 @t299)) % 1.02/1.30 (define @t742 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t30 @t45)) % 1.02/1.30 (define @t743 () (tptp.class_Fields_Ofield__inverse__zero @t11)) % 1.02/1.30 (define @t744 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t643)) % 1.02/1.30 (define @t745 () (tptp.c_Orderings_Oord__class_Oless @t11 @t643 @t12)) % 1.02/1.30 (define @t746 () (tptp.c_Orderings_Oord__class_Oless @t11 @t648 @t643)) % 1.02/1.30 (define @t747 () (tptp.c_Orderings_Oord__class_Oless @t11 @t643 @t648)) % 1.02/1.30 (define @t748 () (@var "V_ra_2" $$unsorted)) % 1.02/1.30 (define @t749 () (= @t748 @t18)) % 1.02/1.30 (define @t750 () (tptp.c_Polynomial_Osmult @t11 @t46 @t37)) % 1.02/1.30 (define @t751 () (tptp.c_Polynomial_Opdivmod__rel @t11 @t37 @t229 @t77 @t140)) % 1.02/1.30 (define @t752 () (@var "V_q2" $$unsorted)) % 1.02/1.30 (define @t753 () (@var "V_q1" $$unsorted)) % 1.02/1.30 (define @t754 () (= @t753 @t752)) % 1.02/1.30 (define @t755 () (@var "V_r2" $$unsorted)) % 1.02/1.30 (define @t756 () (tptp.c_Polynomial_Opdivmod__rel @t11 @t37 @t229 @t752 @t755)) % 1.02/1.30 (define @t757 () (@var "V_r1" $$unsorted)) % 1.02/1.30 (define @t758 () (tptp.c_Polynomial_Opdivmod__rel @t11 @t37 @t229 @t753 @t757)) % 1.02/1.30 (define @t759 () (@list @t755 @t752 @t757 @t753 @t229 @t37 @t11)) % 1.02/1.30 (define @t760 () (= @t757 @t755)) % 1.02/1.30 (define @t761 () (@var "V_r_H" $$unsorted)) % 1.02/1.30 (define @t762 () (tptp.hAPP @t105 @t229)) % 1.02/1.30 (define @t763 () (@var "V_q_H" $$unsorted)) % 1.02/1.30 (define @t764 () (tptp.hAPP @t762 @t292)) % 1.02/1.30 (define @t765 () (tptp.c_Polynomial_Osmult @t11 @t46 @t229)) % 1.02/1.30 (define @t766 () (tptp.c_Polynomial_OpCons @t11 @t46 @t140)) % 1.02/1.30 (define @t767 () (tptp.c_Polynomial_OpCons @t11 @t46 @t37)) % 1.02/1.30 (define @t768 () (tptp.c_Polynomial_Odegree @t11 @t229)) % 1.02/1.30 (define @t769 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t229) @t768)) % 1.02/1.30 (define @t770 () (not @t532)) % 1.02/1.30 (define @t771 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t365)) % 1.02/1.30 (define @t772 () (tptp.c_Orderings_Oord__class_Oless @t11 @t51 @t12)) % 1.02/1.30 (define @t773 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t51)) % 1.02/1.30 (define @t774 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t32 @t51)) % 1.02/1.30 (define @t775 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t37 @t229)) % 1.02/1.30 (define @t776 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t775)) % 1.02/1.30 (define @t777 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t229)) % 1.02/1.30 (define @t778 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t37)) % 1.02/1.30 (define @t779 () (tptp.c_Orderings_Oord__class_Oless @t11 @t775 @t12)) % 1.02/1.30 (define @t780 () (tptp.c_Orderings_Oord__class_Oless @t11 @t229 @t12)) % 1.02/1.30 (define @t781 () (tptp.c_Orderings_Oord__class_Oless @t11 @t37 @t12)) % 1.02/1.30 (define @t782 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t99 @t115)) % 1.02/1.30 (define @t783 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t46 @t115)) % 1.02/1.30 (define @t784 () (tptp.c_Orderings_Oord__class_Oless @t11 @t783 @t782)) % 1.02/1.30 (define @t785 () (= @t115 @t12)) % 1.02/1.30 (define @t786 () (not @t785)) % 1.02/1.30 (define @t787 () (@list @t46 @t99 @t115 @t11)) % 1.02/1.30 (define @t788 () (= @t51 @t211)) % 1.02/1.30 (define @t789 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t51 @t133)) % 1.02/1.30 (define @t790 () (= @t789 @t32)) % 1.02/1.30 (define @t791 () (not @t206)) % 1.02/1.30 (define @t792 () (@list @t32 @t51 @t133 @t11)) % 1.02/1.30 (define @t793 () (= @t211 @t51)) % 1.02/1.30 (define @t794 () (= @t32 @t789)) % 1.02/1.30 (define @t795 () (=> @t206 @t33)) % 1.02/1.30 (define @t796 () (@list @t32 @t133 @t51 @t11)) % 1.02/1.30 (define @t797 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t46 @t99)) % 1.02/1.30 (define @t798 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t46 @t46)) % 1.02/1.30 (define @t799 () (=> @t189 (= @t798 @t381))) % 1.02/1.30 (define @t800 () (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t466 @t513) @t797)) % 1.02/1.30 (define @t801 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t797)) % 1.02/1.30 (define @t802 () (= @t801 (tptp.c_Rings_Oinverse__class_Odivide @t11 @t46 @t513))) % 1.02/1.30 (define @t803 () (= (tptp.hAPP (tptp.hAPP @t152 @t797) @t30) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t296 @t305))) % 1.02/1.30 (define @t804 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t381 @t46)) % 1.02/1.30 (define @t805 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t229 @t321)) % 1.02/1.30 (define @t806 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t37 @t321)) % 1.02/1.30 (define @t807 () (tptp.class_RealVector_Oreal__normed__field @t11)) % 1.02/1.30 (define @t808 () (= @t797 (tptp.hAPP @t101 @t648))) % 1.02/1.30 (define @t809 () (= @t643 @t804)) % 1.02/1.30 (define @t810 () (=> @t679 (tptp.c_Orderings_Oord__class_Oless @t11 (tptp.c_Rings_Oinverse__class_Odivide @t11 @t115 @t46) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t115 @t99)))) % 1.02/1.30 (define @t811 () (tptp.c_Orderings_Oord__class_Oless @t11 @t211 @t51)) % 1.02/1.30 (define @t812 () (tptp.c_Orderings_Oord__class_Oless @t11 @t789 @t32)) % 1.02/1.30 (define @t813 () (tptp.c_Orderings_Oord__class_Oless @t11 @t51 @t211)) % 1.02/1.30 (define @t814 () (tptp.c_Orderings_Oord__class_Oless @t11 @t32 @t789)) % 1.02/1.30 (define @t815 () (tptp.hAPP @t100 @t292)) % 1.02/1.30 (define @t816 () (tptp.hAPP @t815 @t229)) % 1.02/1.30 (define @t817 () (@list @t37 @t292 @t229 @t11)) % 1.02/1.30 (define @t818 () (@list @t292 @t37 @t229 @t11)) % 1.02/1.30 (define @t819 () (not @t686)) % 1.02/1.30 (define @t820 () (not @t689)) % 1.02/1.30 (define @t821 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t816)) % 1.02/1.30 (define @t822 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t821 @t229)) % 1.02/1.30 (define @t823 () (not (= @t229 @t12))) % 1.02/1.30 (define @t824 () (tptp.hAPP @t815 @t37)) % 1.02/1.30 (define @t825 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t229 @t292)) % 1.02/1.30 (define @t826 () (not (= @t292 @t12))) % 1.02/1.30 (define @t827 () (@list @t229 @t37 @t292 @t11)) % 1.02/1.30 (define @t828 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t37 @t292)) % 1.02/1.30 (define @t829 () (tptp.hAPP @t322 @t292)) % 1.02/1.30 (define @t830 () (tptp.hAPP (tptp.hAPP @t100 @t481) @t229)) % 1.02/1.30 (define @t831 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t481 @t292)) % 1.02/1.30 (define @t832 () (@list @t481 @t37 @t292 @t229 @t11)) % 1.02/1.30 (define @t833 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t122 @t450)) % 1.02/1.30 (define @t834 () (tptp.c_Divides_Odiv__class_Omod @t17 @t37 @t229)) % 1.02/1.30 (define @t835 () (tptp.c_Polynomial_OpCons @t11 @t46 @t834)) % 1.02/1.30 (define @t836 () (tptp.c_Polynomial_Opos__poly @t11 @t21)) % 1.02/1.30 (define @t837 () (@list @t229 @t37 @t46 @t11)) % 1.02/1.30 (define @t838 () (@list @t140 @t77 @t229 @t37 @t11)) % 1.02/1.30 (define @t839 () (=> @t770 (= @t530 (tptp.c_Polynomial_Opoly__gcd @t11 @t229 @t834)))) % 1.02/1.30 (define @t840 () (@list @t37 @t229 @t11)) % 1.02/1.30 (define @t841 () (tptp.c_Polynomial_Opos__poly @t11 @t77)) % 1.02/1.30 (define @t842 () (tptp.c_Polynomial_Opos__poly @t11 @t40)) % 1.02/1.30 (define @t843 () (tptp.class_Divides_Osemiring__div @t11)) % 1.02/1.30 (define @t844 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t430 @t30)) % 1.02/1.30 (define @t845 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t362 @t45)) % 1.02/1.30 (define @t846 () (@list @t45 @t30 @t299)) % 1.02/1.30 (define @t847 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t45 @t30)) % 1.02/1.30 (define @t848 () (tptp.c_Nat_OSuc @t847)) % 1.02/1.30 (define @t849 () (= @t848 @t30)) % 1.02/1.30 (define @t850 () (@list @t288 @t315)) % 1.02/1.30 (define @t851 () (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t299 @t634) @t475))) % 1.02/1.30 (define @t852 () (@list @t634 @t299)) % 1.02/1.30 (define @t853 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t37 @t45)) % 1.02/1.30 (define @t854 () (@list @t229 @t45 @t37)) % 1.02/1.30 (define @t855 () (tptp.hAPP @t464 @t46)) % 1.02/1.30 (define @t856 () (tptp.hAPP @t855 @t99)) % 1.02/1.30 (define @t857 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t856 @t115)) % 1.02/1.30 (define @t858 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t99 @t115)) % 1.02/1.30 (define @t859 () (tptp.hAPP @t855 @t858)) % 1.02/1.30 (define @t860 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t859 @t115)) % 1.02/1.30 (define @t861 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t45 @t30)) % 1.02/1.30 (define @t862 () (@var "V_f" $$unsorted)) % 1.02/1.30 (define @t863 () (@list @t46)) % 1.02/1.30 (define @t864 () (@list @t99)) % 1.02/1.30 (define @t865 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t46 @t99)) % 1.02/1.30 (define @t866 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t99)) % 1.02/1.30 (define @t867 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t46)) % 1.02/1.30 (define @t868 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t867 @t99)) % 1.02/1.30 (define @t869 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t46 @t866)) % 1.02/1.30 (define @t870 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t37 @t229) @t45)) % 1.02/1.30 (define @t871 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t475 @t99)) % 1.02/1.30 (define @t872 () (@list @t46 @t99)) % 1.02/1.30 (define @t873 () (=> @t604 (= @t847 @t45))) % 1.02/1.30 (define @t874 () (=> @t622 (= @t847 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t567 @t30)))) % 1.02/1.30 (define @t875 () (= @t865 @t475)) % 1.02/1.30 (define @t876 () (not @t875)) % 1.02/1.30 (define @t877 () (@var "B_i" $$unsorted)) % 1.02/1.30 (define @t878 () (@list @t877 @t700)) % 1.02/1.30 (define @t879 () (tptp.hAPP @t259 @t99)) % 1.02/1.30 (define @t880 () (tptp.hAPP @t879 @t115)) % 1.02/1.30 (define @t881 () (tptp.c_Divides_Odiv__class_Omod @t11 @t46 @t99)) % 1.02/1.30 (define @t882 () (tptp.c_Divides_Odiv__class_Omod @t11 @t102 @t115)) % 1.02/1.30 (define @t883 () (tptp.c_Divides_Odiv__class_Omod @t11 @t99 @t115)) % 1.02/1.30 (define @t884 () (= @t883 (tptp.c_Divides_Odiv__class_Omod @t11 @t370 @t115))) % 1.02/1.30 (define @t885 () (tptp.c_Divides_Odiv__class_Omod @t11 @t46 @t115)) % 1.02/1.30 (define @t886 () (= @t885 (tptp.c_Divides_Odiv__class_Omod @t11 @t328 @t115))) % 1.02/1.30 (define @t887 () (@list @t370 @t99 @t328 @t115 @t46 @t11)) % 1.02/1.30 (define @t888 () (tptp.hAPP @t100 @t885)) % 1.02/1.30 (define @t889 () (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.hAPP @t888 @t99) @t115)) % 1.02/1.30 (define @t890 () (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t883) @t115)) % 1.02/1.30 (define @t891 () (tptp.c_Divides_Odiv__class_Omod @t11 @t122 @t115)) % 1.02/1.30 (define @t892 () (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t885 @t99) @t115)) % 1.02/1.30 (define @t893 () (tptp.c_Divides_Odiv__class_Omod @t11 @t555 @t115)) % 1.02/1.30 (define @t894 () (tptp.class_Divides_Oring__div @t11)) % 1.02/1.30 (define @t895 () (tptp.c_Divides_Odiv__class_Omod @t11 @t466 @t99)) % 1.02/1.30 (define @t896 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t299 @t45)) % 1.02/1.30 (define @t897 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t299 @t30)) % 1.02/1.30 (define @t898 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t299 (tptp.c_Divides_Odiv__class_Omod @t11 @t45 @t30))) % 1.02/1.30 (define @t899 () (@list @t30 @t45 @t299 @t11)) % 1.02/1.30 (define @t900 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t115 @t99)) % 1.02/1.30 (define @t901 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t670)) % 1.02/1.30 (define @t902 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t145)) % 1.02/1.30 (define @t903 () (tptp.hAPP @t461 @t299)) % 1.02/1.30 (define @t904 () (@list @t299 @t45)) % 1.02/1.30 (define @t905 () (tptp.c_Groups_Osgn__class_Osgn @t17 @t37)) % 1.02/1.30 (define @t906 () (tptp.c_Orderings_Oord__class_Oless @t17 @t18 @t37)) % 1.02/1.30 (define @t907 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t99 @t115)) % 1.02/1.30 (define @t908 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t46 @t99)) % 1.02/1.30 (define @t909 () (tptp.hAPP @t464 @t99)) % 1.02/1.30 (define @t910 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t909 @t908) @t865)) % 1.02/1.30 (define @t911 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t46 @t299)) % 1.02/1.30 (define @t912 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t45 @t30)) % 1.02/1.30 (define @t913 () (tptp.hAPP (tptp.hAPP @t464 @t30) @t912)) % 1.02/1.30 (define @t914 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t32 @t51) @t475)) % 1.02/1.30 (define @t915 () (@list @t32 @t51)) % 1.02/1.30 (define @t916 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t46 @t99)) % 1.02/1.30 (define @t917 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t671 @t670)) % 1.02/1.30 (define @t918 () (=> @t786 (= @t917 @t916))) % 1.02/1.30 (define @t919 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t867 @t99)) % 1.02/1.30 (define @t920 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t46 @t866)) % 1.02/1.30 (define @t921 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t51 @t32)) % 1.02/1.30 (define @t922 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t37 @t229)) % 1.02/1.30 (define @t923 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t229 @t37)) % 1.02/1.30 (define @t924 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t922)) % 1.02/1.30 (define @t925 () (tptp.c_Divides_Odiv__class_Odiv @t11 @t99 @t46)) % 1.02/1.30 (define @t926 () (tptp.hAPP @t100 @t925)) % 1.02/1.30 (define @t927 () (tptp.c_Groups_Osgn__class_Osgn @t11 @t37)) % 1.02/1.30 (define @t928 () (tptp.class_RealVector_Oreal__normed__vector @t11)) % 1.02/1.30 (define @t929 () (tptp.c_Groups_Osgn__class_Osgn @t11 @t46)) % 1.02/1.30 (define @t930 () (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t12) @t12)) % 1.02/1.30 (define @t931 () (tptp.class_Groups_Osgn__if @t11)) % 1.02/1.30 (define @t932 () (tptp.c_Groups_Osgn__class_Osgn @t11 @t32)) % 1.02/1.30 (define @t933 () (tptp.hAPP @t909 @t115)) % 1.02/1.30 (define @t934 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t475 @t115)) % 1.02/1.30 (define @t935 () (@list @t99 @t46 @t115)) % 1.02/1.30 (define @t936 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t115 @t916)) % 1.02/1.30 (define @t937 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t916 @t381)) % 1.02/1.30 (define @t938 () (tptp.hAPP (tptp.hAPP @t100 @t916) @t99)) % 1.02/1.30 (define @t939 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t938 @t881)) % 1.02/1.30 (define @t940 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t144 @t916) @t881)) % 1.02/1.30 (define @t941 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t908)) % 1.02/1.30 (define @t942 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t941 @t478)) % 1.02/1.30 (define @t943 () (not (= @t99 @t475))) % 1.02/1.30 (define @t944 () (= @t37 @t12)) % 1.02/1.30 (define @t945 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t877) @t700))) % 1.02/1.30 (define @t946 () (= @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t473 @t877) @t700))) % 1.02/1.30 (define @t947 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t34 @t343)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t34 @t343)))) % 1.02/1.30 (define @t948 () (@list @t34 @t193 @t343)) % 1.02/1.30 (define @t949 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t99 @t115)) % 1.02/1.30 (define @t950 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t99 @t115)) % 1.02/1.30 (define @t951 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t475 @t229)) % 1.02/1.30 (define @t952 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t475 @t37)) % 1.02/1.30 (define @t953 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t475 @t45)) % 1.02/1.30 (define @t954 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t45 @t30)) % 1.02/1.30 (define @t955 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t46 @t99)) % 1.02/1.30 (define @t956 () (tptp.c_Divides_Odiv__class_Odiv @t17 @t37 @t229)) % 1.02/1.30 (define @t957 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t956)) % 1.02/1.30 (define @t958 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t363 @t362)) % 1.02/1.30 (define @t959 () (= @t958 @t954)) % 1.02/1.30 (define @t960 () (= @t299 @t65)) % 1.02/1.30 (define @t961 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t102 @t12)) % 1.02/1.30 (define @t962 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t99)) % 1.02/1.30 (define @t963 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t46 @t12)) % 1.02/1.30 (define @t964 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t99 @t12)) % 1.02/1.30 (define @t965 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t46)) % 1.02/1.30 (define @t966 () (tptp.class_Rings_Oordered__cancel__semiring @t11)) % 1.02/1.30 (define @t967 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t102)) % 1.02/1.30 (define @t968 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t115)) % 1.02/1.30 (define @t969 () (=> @t968 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t286 @t300))) % 1.02/1.30 (define @t970 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t115 @t223)) % 1.02/1.30 (define @t971 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t46 @t99)) % 1.02/1.30 (define @t972 () (tptp.class_Rings_Oordered__semiring @t11)) % 1.02/1.30 (define @t973 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t671 @t670)) % 1.02/1.30 (define @t974 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t115 @t12)) % 1.02/1.30 (define @t975 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t99 @t46)) % 1.02/1.30 (define @t976 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t286 @t145)) % 1.02/1.30 (define @t977 () (=> @t971 (=> @t968 @t973))) % 1.02/1.30 (define @t978 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t51)) % 1.02/1.30 (define @t979 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t32 @t12)) % 1.02/1.30 (define @t980 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t51 @t12)) % 1.02/1.30 (define @t981 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t32)) % 1.02/1.30 (define @t982 () (or (and @t981 @t980) (and @t979 @t978))) % 1.02/1.30 (define @t983 () (or (and @t981 @t978) (and @t979 @t980))) % 1.02/1.30 (define @t984 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t99 @t121)) % 1.02/1.30 (define @t985 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t99 @t115)) % 1.02/1.30 (define @t986 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t32 @t51)) % 1.02/1.30 (define @t987 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t381 @t46)) % 1.02/1.30 (define @t988 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t30 @t662)) % 1.02/1.30 (define @t989 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t481 @t292)) % 1.02/1.30 (define @t990 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t292 @t481)) % 1.02/1.30 (define @t991 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t375 @t374)) % 1.02/1.30 (define @t992 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t121 @t146)) % 1.02/1.30 (define @t993 () (tptp.class_Groups_Oordered__ab__semigroup__add @t11)) % 1.02/1.30 (define @t994 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t117 @t606)) % 1.02/1.30 (define @t995 () (@var "V_z_H" $$unsorted)) % 1.02/1.30 (define @t996 () (@var "V_w_H" $$unsorted)) % 1.02/1.30 (define @t997 () (tptp.hAPP @t259 @t46)) % 1.02/1.30 (define @t998 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t215 @t214)) % 1.02/1.30 (define @t999 () (tptp.c_Orderings_Oord__class_Oless @t11 @t286 @t300)) % 1.02/1.30 (define @t1000 () (=> @t968 @t999)) % 1.02/1.30 (define @t1001 () (=> @t968 @t605)) % 1.02/1.30 (define @t1002 () (=> @t675 @t1001)) % 1.02/1.30 (define @t1003 () (tptp.class_Rings_Olinordered__semiring @t11)) % 1.02/1.30 (define @t1004 () (=> @t672 @t1001)) % 1.02/1.30 (define @t1005 () (=> @t676 @t971)) % 1.02/1.30 (define @t1006 () (@var "T_1" $$unsorted)) % 1.02/1.30 (define @t1007 () (tptp.tc_Polynomial_Opoly @t1006)) % 1.02/1.30 (define @t1008 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1006)) % 1.02/1.30 (define @t1009 () (@list @t1006)) % 1.02/1.30 (define @t1010 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.02/1.30 (define @t1011 () (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.02/1.30 (define @t1012 () (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.02/1.30 (define @t1013 () (tptp.class_Rings_Oidom @t1006)) % 1.02/1.30 (define @t1014 () (tptp.class_Rings_Olinordered__idom @t1006)) % 1.02/1.30 (define @t1015 () (tptp.class_Rings_Ocomm__semiring__0 @t1006)) % 1.02/1.30 (define @t1016 () (tptp.class_Rings_Ocomm__semiring__1 @t1006)) % 1.02/1.30 (define @t1017 () (tptp.class_Groups_Ocomm__monoid__add @t1006)) % 1.02/1.30 (define @t1018 () (tptp.class_Rings_Ocomm__semiring__1 @t1007)) % 1.02/1.30 (define @t1019 () (forall @t1009 (=> @t1016 @t1018))) % 1.02/1.30 (define @t1020 () (tptp.class_Fields_Ofield @t1006)) % 1.02/1.30 (define @t1021 () (tptp.class_Groups_Oab__group__add @t1006)) % 1.02/1.30 (define @t1022 () (tptp.class_Rings_Ozero__neq__one @t1007)) % 1.02/1.30 (define @t1023 () (forall @t1009 (=> @t1016 @t1022))) % 1.02/1.30 (define @t1024 () (tptp.class_Rings_Ocomm__ring__1 @t1006)) % 1.02/1.30 (define @t1025 () (tptp.class_Rings_Ocomm__ring @t1006)) % 1.02/1.30 (define @t1026 () (tptp.hBOOL (tptp.c_fequal @t13 @t53))) % 1.02/1.30 (define @t1027 () (= @t65 @t172)) % 1.02/1.30 (define @t1028 () (@list tptp.tc_Complex_Ocomplex)) % 1.02/1.30 (define @t1029 () (= @t65 (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t7))) % 1.02/1.30 (define @t1030 () (not @t1012)) % 1.02/1.30 (define @t1031 () (or @t1030 @t1029)) % 1.02/1.30 (define @t1032 () (@list false false)) % 1.02/1.30 (define @t1033 () (= @t18 @t183)) % 1.02/1.30 (define @t1034 () (tptp.hAPP @t91 @t7)) % 1.02/1.30 (define @t1035 () (tptp.hAPP @t1034 tptp.v_r____)) % 1.02/1.30 (define @t1036 () (= @t7 @t1035)) % 1.02/1.30 (define @t1037 () (not @t1011)) % 1.02/1.30 (define @t1038 () (or @t1037 @t1036)) % 1.02/1.30 (define @t1039 () (= @t381 @t453)) % 1.02/1.30 (define @t1040 () (tptp.class_Rings_Ocomm__semiring__1 @t6)) % 1.02/1.30 (define @t1041 () (not @t1010)) % 1.02/1.30 (define @t1042 () (or @t1041 @t1040)) % 1.02/1.30 (define @t1043 () (tptp.c_Groups_Oone__class_Oone @t6)) % 1.02/1.30 (define @t1044 () (= @t1043 (tptp.hAPP @t95 @t65))) % 1.02/1.30 (define @t1045 () (not @t1040)) % 1.02/1.30 (define @t1046 () (or @t1045 @t1044)) % 1.02/1.30 (define @t1047 () (tptp.class_Rings_Ozero__neq__one @t6)) % 1.02/1.30 (define @t1048 () (or @t1041 @t1047)) % 1.02/1.30 (define @t1049 () (= @t7 @t1043)) % 1.02/1.30 (define @t1050 () (not @t1049)) % 1.02/1.30 (define @t1051 () (not @t1047)) % 1.02/1.30 (define @t1052 () (or @t1051 @t1050)) % 1.02/1.30 (define @t1053 () (and @t8 @t97 @t1029 @t1036 @t1044)) % 1.02/1.30 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t5 (= @t4 (tptp.hAPP @t1 @t3))) (= @t2 @t1)))) % 1.02/1.30 (assume @p2 @t8) % 1.02/1.30 (assume @p3 (forall (@list @t2 @t10 @t11) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t11 @t10 @t2) (forall (@list @t3 @t9) (= @t4 (tptp.hAPP @t2 @t9)))))) % 1.02/1.30 (assume @p4 (forall @t16 (=> @t15 (= (= @t12 @t13) @t14)))) % 1.02/1.30 (assume @p5 (forall (@list @t19 @t11) (=> @t20 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t11 @t18 @t19) @t18)))) % 1.02/1.30 (assume @p6 (forall (@list @t23 @t21 @t11) (=> @t20 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t11 @t21 @t23) @t18) @t22)))) % 1.02/1.30 (assume @p7 (forall (@list @t11 @t24 @t2 @t10) (=> @t28 (=> @t27 (= (tptp.c_Polynomial_Opoly__rec @t11 @t10 @t24 @t2 @t26) @t24))))) % 1.02/1.30 (assume @p8 (= (forall @t5 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p) @t3) @t29) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q) @t3) @t29))) (= tptp.v_q @t7))) % 0.58/1.30 (assume @p9 (forall @t31 (=> @t15 (= (tptp.c_Polynomial_Omonom @t11 @t12 @t30) @t18)))) % 0.58/1.30 (assume @p10 (forall @t36 (=> @t15 (= (= @t35 @t18) @t33)))) % 0.58/1.30 (assume @p11 (forall @t39 (=> @t20 (= (tptp.hAPP @t38 @t37) @t12)))) % 0.58/1.30 (assume @p12 (forall @t31 (=> @t15 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t18) @t30) @t12)))) % 0.58/1.30 (assume @p13 (forall @t41 (=> @t20 (= (tptp.c_Polynomial_Osmult @t11 @t12 @t40) @t18)))) % 0.58/1.30 (assume @p14 (forall @t44 (=> @t43 (= (= @t42 @t18) (or @t33 @t22))))) % 0.58/1.30 (assume @p15 (forall (@list @t46 @t30 @t45 @t11) (=> @t15 (and (=> @t49 (= @t48 @t46)) (=> @t50 (= @t48 @t12)))))) % 0.58/1.30 (assume @p16 (forall (@list @t51 @t34 @t32 @t11) (=> @t15 (= (= @t35 (tptp.c_Polynomial_Omonom @t11 @t51 @t34)) @t52)))) % 0.58/1.30 (assume @p17 (forall @t55 (=> @t15 (= (= (tptp.c_Polynomial_Ocoeff @t11 @t13) (tptp.c_Polynomial_Ocoeff @t11 @t53)) @t54)))) % 0.58/1.30 (assume @p18 (forall @t60 (=> @t59 (= (= @t58 (tptp.c_Polynomial_Opoly @t11 @t56)) @t57)))) % 0.58/1.30 (assume @p19 (forall @t60 (=> @t15 (= @t57 (forall (@list @t61) (= (tptp.hAPP @t62 @t61) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t56) @t61))))))) % 0.58/1.30 (assume @p20 (forall @t63 (=> @t20 (= (tptp.c_Polynomial_Osmult @t11 @t46 @t18) @t18)))) % 0.58/1.30 (assume @p21 (forall @t64 (=> @t59 (= (= @t58 @t38) @t22)))) % 0.58/1.30 (assume @p22 (forall (@list @t32 @t21 @t11) (=> @t43 (= (= (tptp.hAPP @t58 @t32) @t12) (or @t22 (not (= (tptp.c_Polynomial_Oorder @t11 @t32 @t21) @t65))))))) % 0.58/1.30 (assume @p23 (forall (@list @t21) (=> (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t67)) (exists @t68 (= (tptp.hAPP @t67 @t66) @t29))))) % 0.58/1.30 (assume @p24 (forall (@list @t21 @t32 @t11 @t24 @t2 @t10) (=> @t28 (=> @t27 (= @t71 (tptp.hAPP @t70 @t69)))))) % 0.58/1.30 (assume @p25 (forall @t76 (=> @t75 (= (tptp.c_Rings_Odvd__class_Odvd @t17 @t42 @t56) (and (=> @t33 @t74) (=> @t73 @t72)))))) % 0.58/1.30 (assume @p26 (forall @t81 (=> @t20 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t80) @t37) (tptp.hAPP @t79 @t78))))) % 0.58/1.30 (assume @p27 (forall @t41 (=> @t15 (=> @t86 (not (= @t84 @t12)))))) % 0.58/1.30 (assume @p28 (forall @t64 (=> @t15 (= (= @t88 @t12) @t22)))) % 0.58/1.30 (assume @p29 (forall @t89 (=> @t20 (= (tptp.c_Polynomial_Opcompose @t11 @t18 @t77) @t18)))) % 0.58/1.30 (assume @p30 (forall @t64 (=> @t15 (= (= @t90 @t65) @t22)))) % 0.58/1.30 (assume @p31 @t97) % 0.58/1.30 (assume @p32 (forall (@list @t37 @t19 @t40 @t11) (=> @t20 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t98) @t37) (tptp.hAPP @t79 (tptp.c_Groups_Oplus__class_Oplus @t11 @t19 @t37)))))) % 0.58/1.30 (assume @p33 (forall @t104 (=> @t20 (= (tptp.c_Polynomial_Osmult @t11 @t46 @t103) (tptp.c_Polynomial_Omonom @t11 @t102 @t30))))) % 0.58/1.30 (assume @p34 (tptp.c_Rings_Odvd__class_Odvd @t6 tptp.v_p @t96)) % 0.58/1.30 (assume @p35 (forall @t109 (=> @t20 (= (tptp.c_Polynomial_Opcompose @t11 @t108 @t77) (tptp.c_Groups_Oplus__class_Oplus @t17 @t107 (tptp.hAPP @t106 @t80)))))) % 0.58/1.30 (assume @p36 (forall @t114 (=> @t43 (=> @t86 (=> (not (= @t77 @t18)) (= (tptp.c_Polynomial_Odegree @t11 @t113) @t111)))))) % 0.58/1.30 (assume @p37 (forall @t120 (=> @t119 (=> (= @t118 @t117) @t116)))) % 0.58/1.30 (assume @p38 (forall @t124 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t11) @t123))) % 0.58/1.30 (assume @p39 (forall @t124 (=> @t119 @t123))) % 0.58/1.30 (assume @p40 (forall @t114 (=> @t20 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t113) @t111) (tptp.hAPP (tptp.hAPP @t100 @t84) @t126))))) % 0.58/1.30 (assume @p41 (forall (@list @t30 @t99 @t45 @t46 @t11) (=> @t20 (= (tptp.hAPP (tptp.hAPP @t105 @t47) @t103) (tptp.c_Polynomial_Omonom @t11 @t102 @t127))))) % 0.58/1.30 (assume @p42 (forall @t131 (=> @t130 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t108 @t129) (tptp.c_Polynomial_OpCons @t11 @t122 @t128))))) % 0.58/1.30 (assume @p43 (forall (@list @t56 @t51 @t21 @t32 @t11) (=> @t15 (= (= @t132 (tptp.c_Polynomial_OpCons @t11 @t51 @t56)) (and @t52 @t57))))) % 0.58/1.30 (assume @p44 (forall (@list @t133 @t32 @t51 @t11) (=> @t119 (= (= @t136 @t135) @t134)))) % 0.58/1.30 (assume @p45 (forall @t139 (=> @t119 (= (= @t138 @t137) @t134)))) % 0.58/1.30 (assume @p46 (forall (@list @t140 @t77 @t40 @t11) (=> @t20 (= (tptp.hAPP (tptp.hAPP @t105 @t128) @t140) (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.hAPP @t112 @t140) (tptp.hAPP @t106 @t140)))))) % 0.58/1.30 (assume @p47 (forall @t143 (=> @t20 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t108) @t37) (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 (tptp.hAPP @t142 @t141)))))) % 0.58/1.30 (assume @p48 (forall @t124 (=> (tptp.class_Groups_Oab__semigroup__mult @t11) (= (tptp.hAPP (tptp.hAPP @t100 @t102) @t115) (tptp.hAPP @t101 @t145))))) % 0.58/1.30 (assume @p49 (forall @t124 (=> (tptp.class_Groups_Oab__semigroup__add @t11) @t148))) % 0.58/1.30 (assume @p50 (forall @t63 (=> @t15 (= (tptp.c_Polynomial_Odegree @t11 @t107) @t65)))) % 0.58/1.30 (assume @p51 (forall @t114 (=> @t43 (=> (= @t84 @t126) (=> @t149 (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t77 @t40) (= @t40 @t77))))))) % 0.58/1.30 (assume @p52 (forall @t151 (=> @t20 (= (tptp.c_Polynomial_Osmult @t11 @t46 (tptp.c_Polynomial_OpCons @t11 @t99 @t40)) (tptp.c_Polynomial_OpCons @t11 @t102 @t150))))) % 0.58/1.30 (assume @p53 (forall (@list @t37 @t30 @t40 @t11) (=> @t154 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 (tptp.hAPP (tptp.hAPP @t153 @t40) @t30)) @t37) (tptp.hAPP (tptp.hAPP @t152 @t141) @t30))))) % 0.58/1.30 (assume @p54 (forall @t157 (=> @t130 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t128) @t30) (tptp.c_Groups_Oplus__class_Oplus @t11 @t156 @t155))))) % 0.58/1.30 (assume @p55 (forall @t151 (=> @t20 (= (tptp.c_Polynomial_Osmult @t11 @t122 @t40) (tptp.c_Groups_Oplus__class_Oplus @t17 @t150 @t158))))) % 0.58/1.30 (assume @p56 (forall @t81 (=> @t20 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t128) @t37) (tptp.c_Groups_Oplus__class_Oplus @t11 @t141 @t78))))) % 0.58/1.30 (assume @p57 (forall @t81 (=> @t20 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t113) @t37) (tptp.hAPP (tptp.hAPP @t100 @t141) @t78))))) % 0.58/1.30 (assume @p58 (forall @t160 (=> @t130 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t159 @t103) (tptp.c_Polynomial_Omonom @t11 @t122 @t30))))) % 0.58/1.30 (assume @p59 (forall @t109 (=> @t20 (= (tptp.hAPP (tptp.hAPP @t105 @t108) @t77) (tptp.c_Groups_Oplus__class_Oplus @t17 @t162 @t161))))) % 0.58/1.30 (assume @p60 (forall @t163 (=> @t20 (= (tptp.hAPP @t112 (tptp.c_Polynomial_OpCons @t11 @t46 @t77)) (tptp.c_Groups_Oplus__class_Oplus @t17 @t150 @t161))))) % 0.58/1.30 (assume @p61 (forall @t165 (=> @t20 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t164 @t108) @t18) @t85)))) % 0.58/1.30 (assume @p62 (forall @t63 (=> @t167 @t166))) % 0.58/1.30 (assume @p63 (forall @t63 (=> @t130 @t166))) % 0.58/1.30 (assume @p64 (forall @t170 (=> @t169 (= (= @t12 @t168) @t33)))) % 0.58/1.30 (assume @p65 (forall @t63 (=> @t167 @t171))) % 0.58/1.30 (assume @p66 (forall @t63 (=> @t130 @t171))) % 0.58/1.30 (assume @p67 @t175) % 0.58/1.30 (assume @p68 (forall (@list @t37 @t30 @t46 @t11) (=> @t154 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t159) @t37) (tptp.hAPP @t101 @t177))))) % 0.58/1.30 (assume @p69 (forall @t179 (=> @t15 (= (tptp.hAPP @t178 @t65) @t46)))) % 0.58/1.30 (assume @p70 (forall (@list @t19 @t40 @t46 @t11) (=> @t20 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t11 @t108 @t19) (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.c_Polynomial_Osmult @t11 @t19 @t98) (tptp.c_Polynomial_OpCons @t11 @t46 @t98)))))) % 0.58/1.30 (assume @p71 (forall @t181 (=> @t154 (=> @t149 @t180)))) % 0.58/1.30 (assume @p72 (forall @t109 (=> @t154 (=> @t182 @t149)))) % 0.58/1.30 (assume @p73 (forall @t89 (=> @t130 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t18 @t77) @t77)))) % 0.58/1.30 (assume @p74 (forall @t41 (=> @t130 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t40 @t18) @t40)))) % 0.58/1.30 (assume @p75 @t185) % 0.58/1.30 (assume @p76 (forall @t41 (=> @t20 (= (tptp.hAPP @t112 @t18) @t18)))) % 0.58/1.30 (assume @p77 (forall @t109 (=> @t20 (= (tptp.c_Polynomial_Osmult @t11 @t46 @t128) (tptp.c_Groups_Oplus__class_Oplus @t17 @t150 @t162))))) % 0.58/1.30 (assume @p78 (forall @t151 (=> @t20 (= (tptp.c_Polynomial_Osmult @t11 @t46 @t158) (tptp.c_Polynomial_Osmult @t11 @t102 @t40))))) % 0.58/1.30 (assume @p79 (forall @t163 (=> @t20 (= (tptp.hAPP @t112 @t162) @t186)))) % 0.58/1.30 (assume @p80 (forall @t109 (=> @t20 (= (tptp.hAPP (tptp.hAPP @t105 @t150) @t77) @t186)))) % 0.58/1.30 (assume @p81 (forall (@list @t19 @t40 @t11) (=> @t20 (= (tptp.c_Polynomial_Odegree @t11 @t98) @t82)))) % 0.58/1.30 (assume @p82 (forall @t174 (=> @t15 (= (tptp.c_Polynomial_OpCons @t11 @t12 @t18) @t18)))) % 0.58/1.30 (assume @p83 (forall @t44 (=> @t15 (= (= @t132 @t18) (and @t33 @t22))))) % 0.58/1.30 (assume @p84 (forall @t179 (=> @t43 (and (=> @t188 (= @t187 @t65)) (=> @t189 (= @t187 @t82)))))) % 0.58/1.30 (assume @p85 (forall @t163 (=> @t75 (=> @t180 (=> @t189 @t149))))) % 0.58/1.30 (assume @p86 (forall @t181 (=> @t75 (=> @t149 (=> @t189 @t182))))) % 0.58/1.30 (assume @p87 (forall @t76 (=> @t75 (=> @t73 (= (tptp.c_Rings_Odvd__class_Odvd @t17 @t21 (tptp.c_Polynomial_Osmult @t11 @t32 @t56)) @t72))))) % 0.58/1.30 (assume @p88 (forall @t190 (=> @t15 (=> @t189 (= (tptp.c_Polynomial_Odegree @t11 @t159) @t30))))) % 0.58/1.30 (assume @p89 (forall @t165 (=> @t20 (=> (= @t164 @t108) @t85)))) % 0.58/1.30 (assume @p90 (forall @t63 (=> @t15 (= (tptp.c_Polynomial_Omonom @t11 @t46 @t65) @t107)))) % 0.58/1.30 (assume @p91 (forall (@list @t21 @t32 @t2 @t24 @t11 @t10) (=> @t28 (= @t71 (tptp.hAPP @t70 (tptp.c_If @t11 (tptp.c_fequal @t21 @t26) @t24 @t69)))))) % 0.58/1.30 (assume @p92 (forall (@list @t19 @t46 @t11) (=> @t20 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t11 @t107 @t19) @t107)))) % 0.58/1.30 (assume @p93 (forall @t191 (=> @t20 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t150) @t30) (tptp.hAPP @t101 @t156))))) % 0.58/1.30 (assume @p94 (forall @t143 (=> @t20 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t150) @t37) (tptp.hAPP @t101 @t141))))) % 0.58/1.30 (assume @p95 (not (forall (@list @t192) (not (= @t96 (tptp.hAPP @t92 @t192)))))) % 0.58/1.30 (assume @p96 (forall @t63 (=> @t154 (tptp.c_Rings_Odvd__class_Odvd @t11 @t46 @t12)))) % 0.58/1.30 (assume @p97 (forall (@list @t194 @t193 @t11) (=> (and @t196 @t195) (= (exists @t5 (tptp.hBOOL (tptp.hAPP @t193 (tptp.hAPP (tptp.hAPP @t100 @t194) @t3)))) (exists @t5 (and (tptp.c_Rings_Odvd__class_Odvd @t11 @t194 (tptp.c_Groups_Oplus__class_Oplus @t11 @t3 @t12)) (tptp.hBOOL (tptp.hAPP @t193 @t3)))))))) % 0.58/1.30 (assume @p98 (forall @t36 (=> (and @t204 @t203 @t202 @t201) (= (= @t200 @t12) (and @t33 @t198))))) % 0.58/1.30 (assume @p99 (forall @t212 (=> @t43 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t211 @t209) @t207)))) % 0.58/1.30 (assume @p100 (forall @t216 (=> @t43 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t215 @t214) @t207)))) % 0.58/1.30 (assume @p101 (forall @t55 (=> @t222 (= (= @t221 @t12) @t218)))) % 0.58/1.30 (assume @p102 (forall (@list @t223 @t115 @t99 @t46 @t140 @t11) (=> @t226 (=> (not (= @t140 @t12)) (=> (and @t225 (not (= @t115 @t223))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 (tptp.hAPP @t224 @t115)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t99 (tptp.hAPP @t224 @t223))))))))) % 0.58/1.30 (assume @p103 (forall (@list @t30 @t77 @t40) (=> (forall @t5 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t40) @t3) @t29) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t77) @t3) @t29))) (=> (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t40) @t30) (=> @t228 (tptp.c_Rings_Odvd__class_Odvd @t6 @t40 (tptp.hAPP (tptp.hAPP @t94 @t77) @t30))))))) % 0.58/1.30 (assume @p104 (forall (@list @t30 @t229 @t37 @t11) (=> @t154 (=> @t232 (tptp.c_Rings_Odvd__class_Odvd @t11 @t177 @t231))))) % 0.58/1.30 (assume @p105 (forall @t124 (=> @t154 (=> @t234 (=> @t233 (tptp.c_Rings_Odvd__class_Odvd @t11 @t46 @t146)))))) % 0.58/1.30 (assume @p106 (forall @t246 (=> @t154 (= @t245 (tptp.hAPP @t241 (tptp.hAPP @t237 @t235)))))) % 0.58/1.30 (assume @p107 (forall @t246 (=> @t154 (= @t245 (tptp.hAPP @t242 (tptp.hAPP @t244 @t235)))))) % 0.58/1.30 (assume @p108 (forall @t246 (=> @t154 (= @t245 (tptp.hAPP @t240 (tptp.hAPP @t237 @t243)))))) % 0.58/1.30 (assume @p109 (forall @t248 (=> @t154 (= @t247 (tptp.hAPP @t241 @t236))))) % 0.58/1.30 (assume @p110 (forall @t248 (=> @t154 (= @t247 (tptp.hAPP @t240 (tptp.hAPP @t237 @t238)))))) % 0.58/1.30 (assume @p111 (forall @t250 (=> @t154 (= @t249 (tptp.hAPP @t241 @t235))))) % 0.58/1.30 (assume @p112 (forall @t250 (=> @t154 (= @t249 (tptp.hAPP @t242 (tptp.hAPP @t240 @t235)))))) % 0.58/1.30 (assume @p113 (forall @t252 (=> @t154 (= @t102 @t251)))) % 0.58/1.30 (assume @p114 (forall @t255 (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t122 @t254) (tptp.c_Groups_Oplus__class_Oplus @t11 @t121 @t253))))) % 0.58/1.30 (assume @p115 (forall @t124 (=> @t154 (= @t147 (tptp.c_Groups_Oplus__class_Oplus @t11 @t121 @t99))))) % 0.58/1.30 (assume @p116 (forall @t124 (=> @t154 @t148))) % 0.58/1.30 (assume @p117 (forall @t257 (=> @t154 (= @t256 (tptp.c_Groups_Oplus__class_Oplus @t11 @t121 @t223))))) % 0.58/1.30 (assume @p118 (forall @t257 (=> @t154 (= @t256 (tptp.c_Groups_Oplus__class_Oplus @t11 @t115 (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t223)))))) % 0.58/1.30 (assume @p119 (forall (@list @t115 @t46 @t11) (=> @t154 (= @t121 @t117)))) % 0.58/1.30 (assume @p120 (forall @t124 (=> @t154 (=> @t234 (=> @t258 @t233))))) % 0.58/1.30 (assume @p121 (forall @t63 (=> @t154 (tptp.c_Rings_Odvd__class_Odvd @t11 @t46 @t46)))) % 0.58/1.30 (assume @p122 (forall @t262 (=> @t154 (= (tptp.hAPP (tptp.hAPP @t152 @t261) @t77) (tptp.hAPP @t176 (tptp.hAPP @t260 @t77)))))) % 0.58/1.30 (assume @p123 (forall @t268 (=> @t267 (= (tptp.hAPP @t263 @t266) (tptp.hAPP (tptp.hAPP @t152 @t264) @t30))))) % 0.58/1.30 (assume @p124 (forall @t252 (=> @t202 (=> @t270 (or @t188 @t269))))) % 0.58/1.30 (assume @p125 (forall @t252 (=> @t202 (=> @t189 (=> @t271 (not @t270)))))) % 0.58/1.30 (assume @p126 (forall @t274 (=> (tptp.class_Rings_Oring__no__zero__divisors @t11) (= (= @t273 @t12) (or @t33 @t272))))) % 0.58/1.30 (assume @p127 (forall @t63 (=> @t154 @t275))) % 0.58/1.30 (assume @p128 (forall @t63 (=> @t203 @t275))) % 0.58/1.30 (assume @p129 (forall @t63 (=> @t154 @t277))) % 0.58/1.30 (assume @p130 (forall @t63 (=> @t203 @t277))) % 0.58/1.30 (assume @p131 (forall @t278 (=> @t226 (= (= @t51 @t136) @t33)))) % 0.58/1.30 (assume @p132 (forall @t63 (=> @t154 @t171))) % 0.58/1.30 (assume @p133 (forall @t63 (=> @t154 @t166))) % 0.58/1.30 (assume @p134 (forall (@list @t24 @t13 @t53 @t279 @t11) (=> @t226 (= (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t282 @t281) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t280 @t24) (tptp.hAPP @t219 @t53))) (or (= @t279 @t13) (= @t53 @t24)))))) % 0.58/1.30 (assume @p135 (forall (@list @t115 @t99 @t283 @t46 @t11) (=> (tptp.class_Rings_Osemiring @t11) (= (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t101 @t283) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t144 @t283) @t115)) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t284 @t283) @t115))))) % 0.58/1.30 (assume @p136 (forall (@list @t99 @t45 @t46 @t11) (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t285 (tptp.hAPP @t144 @t45)) (tptp.hAPP @t284 @t45))))) % 0.58/1.30 (assume @p137 (forall @t124 (=> @t154 @t287))) % 0.58/1.30 (assume @p138 (forall @t124 (=> (tptp.class_Rings_Ocomm__semiring @t11) @t287))) % 0.58/1.30 (assume @p139 (forall @t291 (=> @t226 (= (and (not @t52) (not @t290)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t211 (tptp.hAPP @t208 @t288)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t289 @t209))))))) % 0.58/1.30 (assume @p140 (forall @t295 (=> @t154 (= (tptp.hAPP @t142 (tptp.c_Groups_Oplus__class_Oplus @t11 @t229 @t292)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t294 @t293))))) % 0.58/1.30 (assume @p141 (forall @t63 (=> @t154 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t12 @t46) @t188)))) % 0.58/1.30 (assume @p142 (forall @t190 (=> @t297 (=> @t189 (not (= @t296 @t12)))))) % 0.58/1.30 (assume @p143 (forall @t124 (=> @t154 (=> @t298 @t258)))) % 0.58/1.30 (assume @p144 (forall @t124 (=> @t154 (=> @t298 @t233)))) % 0.58/1.30 (assume @p145 (forall (@list @t299 @t99 @t46 @t11) (=> @t196 (=> (= @t46 (tptp.hAPP @t144 @t299)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t99 @t46))))) % 0.58/1.30 (assume @p146 (forall @t255 (=> @t154 (=> @t234 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t115 @t223) (tptp.c_Rings_Odvd__class_Odvd @t11 @t286 @t300)))))) % 0.58/1.30 (assume @p147 (forall @t302 (=> @t154 (=> @t233 @t301)))) % 0.58/1.30 (assume @p148 (forall @t124 (=> @t154 (=> @t234 @t301)))) % 0.58/1.30 (assume @p149 (forall @t252 (=> @t154 (tptp.c_Rings_Odvd__class_Odvd @t11 @t46 @t251)))) % 0.58/1.30 (assume @p150 (forall @t252 (=> @t154 (tptp.c_Rings_Odvd__class_Odvd @t11 @t46 @t102)))) % 0.58/1.30 (assume @p151 (forall @t262 (=> @t154 (= (tptp.hAPP (tptp.hAPP @t100 @t261) @t303) (tptp.hAPP @t176 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t40 @t77)))))) % 0.58/1.30 (assume @p152 (forall (@list @t77 @t229 @t37 @t11) (=> @t154 (= (tptp.hAPP (tptp.hAPP @t152 @t294) @t77) (tptp.hAPP @t304 (tptp.hAPP @t230 @t77)))))) % 0.58/1.30 (assume @p153 (forall @t104 (=> @t307 (= (tptp.hAPP (tptp.hAPP @t152 @t102) @t30) (tptp.hAPP @t306 @t305))))) % 0.58/1.30 (assume @p154 (forall @t190 (=> @t267 (= @t309 @t308)))) % 0.58/1.30 (assume @p155 (forall @t268 (=> @t267 (= (tptp.hAPP @t263 @t127) (tptp.hAPP (tptp.hAPP @t100 @t264) @t296))))) % 0.58/1.30 (assume @p156 (forall (@list @t140 @t77 @t115 @t40 @t11) (=> @t20 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t40 (tptp.c_Polynomial_Osmult @t11 @t115 @t77)) (tptp.c_Polynomial_OpCons @t11 @t140 @t77)) (and (= @t140 @t311) (= @t77 @t310)))))) % 0.58/1.30 (assume @p157 (forall @t313 (=> @t20 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t40 (tptp.c_Polynomial_Osmult @t11 @t115 @t310)) @t312)))) % 0.58/1.30 (assume @p158 (forall @t314 (=> (= @t127 @t45) @t227))) % 0.58/1.30 (assume @p159 (forall @t318 (= (= @t317 @t65) (and @t316 @t197)))) % 0.58/1.30 (assume @p160 (forall @t319 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t45 @t65) @t45))) % 0.58/1.30 (assume @p161 (forall @t320 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t30) @t30))) % 0.58/1.30 (assume @p162 (forall @t327 (=> @t326 (= (tptp.hAPP (tptp.hAPP @t100 @t325) @t321) (tptp.c_Groups_Oplus__class_Oplus @t11 @t324 @t323))))) % 0.58/1.30 (assume @p163 (forall @t331 (=> @t326 (= (tptp.hAPP (tptp.hAPP @t100 (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t328)) @t99) (tptp.c_Groups_Oplus__class_Oplus @t11 @t102 @t330))))) % 0.58/1.30 (assume @p164 (forall @t336 (=> @t326 (= (tptp.hAPP @t333 @t325) (tptp.c_Groups_Oplus__class_Oplus @t11 @t335 @t334))))) % 0.58/1.30 (assume @p165 (forall @t314 (= @t266 @t338))) % 0.58/1.30 (assume @p166 (forall @t340 (= (tptp.hAPP (tptp.hAPP @t259 @t266) @t299) (tptp.hAPP @t265 @t339)))) % 0.58/1.30 (assume @p167 (forall (@list @t115 @t11) (=> @t20 (= (tptp.c_Polynomial_Osynthetic__div @t11 @t18 @t115) @t18)))) % 0.58/1.30 (assume @p168 (forall @t320 (= (tptp.hAPP (tptp.hAPP @t259 @t65) @t30) @t65))) % 0.58/1.30 (assume @p169 (forall @t319 (= (tptp.hAPP @t265 @t65) @t65))) % 0.58/1.30 (assume @p170 (forall @t318 (= (= @t342 @t65) (or @t316 @t197)))) % 0.58/1.30 (assume @p171 (forall @t351 (= @t350 @t346))) % 0.58/1.30 (assume @p172 (forall @t355 (= (= @t354 @t353) @t346))) % 0.58/1.30 (assume @p173 (forall @t355 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t315 @t343) @t356) @t345))) % 0.58/1.30 (assume @p174 (forall @t351 (= (= @t358 @t357) @t345))) % 0.58/1.30 (assume @p175 (forall @t340 (= (tptp.hAPP (tptp.hAPP @t259 @t127) @t299) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t359 @t339)))) % 0.58/1.30 (assume @p176 (forall @t340 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t127 @t299) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t45 @t360)))) % 0.58/1.30 (assume @p177 (forall @t364 (= (tptp.hAPP @t361 @t127) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t363 @t362)))) % 0.58/1.30 (assume @p178 (forall @t366 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 @t365) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t229 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 @t292))))) % 0.58/1.30 (assume @p179 (forall (@list @t34 @t343) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t343 @t356) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t343 @t34)))) % 0.58/1.30 (assume @p180 (forall @t314 (= @t127 @t367))) % 0.58/1.30 (assume @p181 (forall (@list @t115 @t40 @t46 @t11) (=> @t20 (= (tptp.c_Polynomial_Osynthetic__div @t11 @t108 @t115) @t312)))) % 0.58/1.30 (assume @p182 (forall @t368 (=> @t20 (= (= (tptp.c_Polynomial_Osynthetic__div @t11 @t21 @t133) @t18) (= @t87 @t65))))) % 0.58/1.30 (assume @p183 (forall (@list @t99 @t11) (=> @t326 (= (tptp.hAPP @t276 @t99) @t12)))) % 0.58/1.30 (assume @p184 (forall @t369 (=> @t326 (= (tptp.hAPP @t276 @t229) @t12)))) % 0.58/1.30 (assume @p185 (forall @t63 (=> @t326 @t275))) % 0.58/1.30 (assume @p186 (forall @t39 (=> @t326 (= (tptp.hAPP @t142 @t12) @t12)))) % 0.58/1.30 (assume @p187 (forall @t372 (=> @t326 (= (tptp.hAPP @t101 (tptp.c_Groups_Oplus__class_Oplus @t11 @t99 @t370)) (tptp.c_Groups_Oplus__class_Oplus @t11 @t102 @t371))))) % 0.58/1.30 (assume @p188 (forall (@list @t299 @t374 @t373 @t375) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t378 @t373) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t377 @t373) @t299)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t259 @t376) @t373) @t299)))) % 0.58/1.30 (assume @p189 (forall @t351 (= @t350 (or @t344 @t345)))) % 0.58/1.30 (assume @p190 (forall @t351 (= @t380 (or @t344 @t379)))) % 0.58/1.30 (assume @p191 (forall @t170 (=> @t169 (= (= @t168 @t12) @t33)))) % 0.58/1.30 (assume @p192 (forall (@list @t37 @t40 @t30 @t11) (=> @t382 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 (tptp.hAPP (tptp.hAPP @t105 (tptp.c_Polynomial_Omonom @t11 @t381 @t30)) @t40)) @t37) (tptp.hAPP (tptp.hAPP @t100 @t177) @t141))))) % 0.58/1.30 (assume @p193 (forall @t190 (=> @t154 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t384) @t30) @t381)))) % 0.58/1.30 (assume @p194 (forall @t190 (=> @t154 (= (tptp.c_Polynomial_Odegree @t11 @t384) @t30)))) % 0.58/1.30 (assume @p195 (forall @t41 (=> @t15 (and (=> @t85 (= @t386 @t65)) (=> @t86 (= @t386 @t385)))))) % 0.58/1.30 (assume @p196 (forall @t387 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t37 @t37))) % 0.58/1.30 (assume @p197 (forall (@list @t299) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t388 @t299))) % 0.58/1.30 (assume @p198 (forall @t391 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t315 @t389) @t390))) % 0.58/1.30 (assume @p199 (forall @t394 (= @t54 (and @t393 @t392)))) % 0.58/1.30 (assume @p200 (forall @t394 (= @t393 (or @t395 @t54)))) % 0.58/1.30 (assume @p201 (forall @t394 (= @t395 (and @t393 @t396)))) % 0.58/1.30 (assume @p202 (forall @t401 (=> @t400 (=> @t398 @t399)))) % 0.58/1.30 (assume @p203 (forall @t404 (=> @t403 @t402))) % 0.58/1.30 (assume @p204 (forall (@list @t13 @t53) (=> @t392 (= @t393 @t54)))) % 0.58/1.30 (assume @p205 (forall @t404 (=> @t402 (or @t406 @t403)))) % 0.58/1.30 (assume @p206 (forall @t401 (=> @t398 (=> @t400 @t399)))) % 0.58/1.30 (assume @p207 (forall @t409 (=> @t225 (=> @t408 @t407)))) % 0.58/1.30 (assume @p208 (forall @t409 (=> @t398 (=> @t116 @t407)))) % 0.58/1.30 (assume @p209 (forall @t314 (=> @t411 (=> @t410 @t49)))) % 0.58/1.30 (assume @p210 (forall @t404 (=> @t402 (=> @t405 @t403)))) % 0.58/1.30 (assume @p211 (forall @t366 (=> @t402 (=> @t413 @t412)))) % 0.58/1.30 (assume @p212 (forall @t409 (=> @t225 (=> (and @t408 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t115 @t99))) @t414)))) % 0.58/1.30 (assume @p213 (forall @t366 (=> @t402 @t416))) % 0.58/1.30 (assume @p214 (forall @t404 (=> @t406 @t417))) % 0.58/1.30 (assume @p215 (forall @t404 (=> @t406 (not (and @t405 (not @t402)))))) % 0.58/1.30 (assume @p216 (forall @t404 (=> @t406 @t402))) % 0.58/1.30 (assume @p217 (forall @t404 (=> @t406 (not (= @t229 @t37))))) % 0.58/1.30 (assume @p218 (forall @t409 (=> @t399 (=> @t116 @t414)))) % 0.58/1.30 (assume @p219 (forall @t366 (=> @t406 (=> @t413 @t415)))) % 0.58/1.30 (assume @p220 (forall @t401 (=> @t399 (not (and @t397 (not @t398)))))) % 0.58/1.30 (assume @p221 (forall @t366 (=> @t406 @t416))) % 0.58/1.30 (assume @p222 (forall @t320 (not (= @t30 @t418)))) % 0.58/1.30 (assume @p223 (forall @t320 (not (= @t418 @t30)))) % 0.58/1.30 (assume @p224 (forall (@list @t419 @t420) (= (= (tptp.c_Nat_OSuc @t420) (tptp.c_Nat_OSuc @t419)) (= @t420 @t419)))) % 0.58/1.30 (assume @p225 (forall @t404 (=> (= (tptp.c_Nat_OSuc @t37) (tptp.c_Nat_OSuc @t229)) @t403))) % 0.58/1.30 (assume @p226 (= @t389 @t388)) % 0.58/1.30 (assume @p227 (forall @t39 (=> @t154 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t421) @t37) @t381)))) % 0.58/1.30 (assume @p228 (forall @t16 (=> (tptp.class_Groups_Oone @t11) (= (= @t381 @t13) @t422)))) % 0.58/1.30 (assume @p229 (forall @t320 (= @t418 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 @t389)))) % 0.58/1.30 (assume @p230 (forall @t320 (= @t418 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t389 @t30)))) % 0.58/1.30 (assume @p231 (forall @t174 (=> @t154 (= @t421 @t383)))) % 0.58/1.30 (assume @p232 @t424) % 0.58/1.30 (assume @p233 (forall @t174 (=> @t201 (not (= @t381 @t12))))) % 0.58/1.30 (assume @p234 (forall @t63 (=> @t154 @t425))) % 0.58/1.30 (assume @p235 (forall @t63 (=> @t154 @t426))) % 0.58/1.30 (assume @p236 (forall @t63 (=> @t267 @t426))) % 0.58/1.30 (assume @p237 (forall @t63 (=> @t307 @t426))) % 0.58/1.30 (assume @p238 (forall @t63 (=> @t267 @t425))) % 0.58/1.30 (assume @p239 (forall @t63 (=> @t307 @t425))) % 0.58/1.30 (assume @p240 (forall @t320 (= (tptp.hAPP (tptp.hAPP @t427 @t388) @t30) @t388))) % 0.58/1.30 (assume @p241 (forall (@list @t315 @t13) (= (= (tptp.hAPP @t428 @t315) @t388) (or @t316 (= @t13 @t388))))) % 0.58/1.30 (assume @p242 (forall @t391 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t315 @t388) @t429))) % 0.58/1.30 (assume @p243 (forall @t319 (not (= @t430 @t65)))) % 0.58/1.30 (assume @p244 (forall @t319 (not (= @t65 @t430)))) % 0.58/1.30 (assume @p245 (forall (@list @t431) (not (= (tptp.c_Nat_OSuc @t431) @t65)))) % 0.58/1.30 (assume @p246 (forall (@list @t432) (not (= @t65 (tptp.c_Nat_OSuc @t432))))) % 0.58/1.30 (assume @p247 (forall @t314 (= @t434 @t433))) % 0.58/1.30 (assume @p248 (forall @t314 (= @t435 @t433))) % 0.58/1.30 (assume @p249 (forall @t314 (= @t435 @t434))) % 0.58/1.30 (assume @p250 (forall @t63 (=> @t154 (tptp.c_Rings_Odvd__class_Odvd @t11 @t381 @t46)))) % 0.58/1.30 (assume @p251 (forall @t31 (=> @t267 (= (tptp.hAPP (tptp.hAPP @t152 @t381) @t30) @t381)))) % 0.58/1.30 (assume @p252 (forall @t351 (= (= @t438 @t437) @t345))) % 0.58/1.30 (assume @p253 (forall @t39 (=> @t154 (= (tptp.hAPP @t176 @t389) @t37)))) % 0.58/1.30 (assume @p254 (forall @t63 (=> @t267 (= (tptp.hAPP @t263 @t389) @t46)))) % 0.58/1.30 (assume @p255 (forall @t318 (= (= @t342 @t389) @t440))) % 0.58/1.30 (assume @p256 (forall @t320 (= (tptp.hAPP @t337 @t389) @t30))) % 0.58/1.30 (assume @p257 (forall @t318 (= (= @t389 @t342) @t440))) % 0.58/1.30 (assume @p258 (forall @t320 (= (tptp.hAPP (tptp.hAPP @t259 @t389) @t30) @t30))) % 0.58/1.30 (assume @p259 (forall @t41 (=> @t154 (= (tptp.c_Polynomial_Osmult @t11 @t381 @t40) @t40)))) % 0.58/1.30 (assume @p260 (forall @t31 (=> @t154 (and (=> @t227 (= @t441 @t381)) (=> @t228 (= @t441 @t12)))))) % 0.58/1.30 (assume @p261 (forall @t31 (=> @t443 (= (tptp.hAPP @t442 @t418) @t12)))) % 0.58/1.30 (assume @p262 (forall @t445 (=> @t154 (= (tptp.hAPP @t304 @t37) @t444)))) % 0.58/1.30 (assume @p263 (forall @t445 (=> @t154 (= @t446 @t444)))) % 0.58/1.30 (assume @p264 (forall @t190 (=> @t267 (= @t447 @t309)))) % 0.58/1.30 (assume @p265 (forall @t445 (=> @t154 (= @t444 @t446)))) % 0.58/1.30 (assume @p266 (forall @t190 (=> @t204 (= @t447 @t308)))) % 0.58/1.30 (assume @p267 (forall (@list @t45 @t46 @t11) (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t285 @t45) @t449)))) % 0.58/1.30 (assume @p268 (forall (@list @t46 @t45 @t11) (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t45 @t285) @t449)))) % 0.58/1.30 (assume @p269 (forall (@list @t45 @t11) (=> @t154 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t45 @t45) (tptp.hAPP (tptp.hAPP @t100 @t450) @t45))))) % 0.58/1.30 (assume @p270 (forall @t318 (= (= @t317 @t388) @t452))) % 0.58/1.30 (assume @p271 (forall @t318 (= (= @t388 @t317) @t452))) % 0.58/1.30 (assume @p272 (forall @t318 (= (= @t342 @t388) (and @t429 @t451)))) % 0.58/1.30 (assume @p273 @t455) % 0.58/1.30 (assume @p274 (forall @t63 (=> @t204 (= (tptp.hAPP @t263 @t65) @t381)))) % 0.58/1.30 (assume @p275 (forall @t314 (= (tptp.hAPP @t265 @t418) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t45 @t266)))) % 0.58/1.30 (assume @p276 (forall @t314 (= (tptp.hAPP (tptp.hAPP @t259 @t430) @t30) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 @t266)))) % 0.58/1.30 (assume @p277 (forall @t314 (=> (= @t45 @t266) (or (= @t30 @t389) @t456)))) % 0.58/1.30 (assume @p278 (forall @t174 (=> @t154 (= (tptp.c_Polynomial_Odegree @t11 @t421) @t65)))) % 0.58/1.30 (assume @p279 (forall @t191 (=> @t15 (= (tptp.hAPP @t178 @t418) @t156)))) % 0.58/1.30 (assume @p280 (forall @t31 (=> @t443 (and (=> @t227 (= @t457 @t381)) (=> @t228 (= @t457 @t12)))))) % 0.58/1.30 (assume @p281 (forall @t460 (=> @t15 @t459))) % 0.58/1.30 (assume @p282 (forall @t190 (=> @t15 (= (tptp.c_Polynomial_Omonom @t11 @t46 @t418) (tptp.c_Polynomial_OpCons @t11 @t12 @t159))))) % 0.58/1.30 (assume @p283 (forall @t366 (= (tptp.hAPP @t462 @t365) (tptp.hAPP (tptp.hAPP @t464 @t463) (tptp.hAPP @t462 @t292))))) % 0.58/1.30 (assume @p284 (forall @t366 (= (tptp.hAPP (tptp.hAPP @t461 @t463) @t292) (tptp.hAPP @t462 (tptp.hAPP (tptp.hAPP @t259 @t229) @t292))))) % 0.58/1.30 (assume @p285 (forall @t460 (=> @t15 (and (=> @t85 (= @t458 @t65)) @t459)))) % 0.58/1.30 (assume @p286 (forall @t460 (=> @t43 (=> @t86 (and @t469 @t468))))) % 0.58/1.30 (assume @p287 (forall @t460 (=> @t43 (=> @t86 @t468)))) % 0.58/1.30 (assume @p288 (forall @t174 (=> @t204 (= @t152 (tptp.c_Power_Opower_Opower @t11 @t381 @t100))))) % 0.58/1.30 (assume @p289 (forall (@list @t40 @t115 @t11) (=> @t382 (= (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.hAPP (tptp.hAPP @t105 (tptp.c_Polynomial_OpCons @t11 (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t115) @t383)) @t310) (tptp.c_Polynomial_OpCons @t11 @t311 @t18)) @t40)))) % 0.58/1.30 (assume @p290 (forall @t470 (=> @t198 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t427 @t32) @t34) (tptp.hAPP (tptp.hAPP @t427 @t51) @t34)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t32 @t51))))) % 0.58/1.30 (assume @p291 (forall @t471 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t427 @t46) @t30) (tptp.hAPP (tptp.hAPP @t427 @t99) @t30)) (=> @t228 @t398)))) % 0.58/1.30 (assume @p292 (forall @t387 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t37 @t65))) % 0.58/1.30 (assume @p293 (forall @t179 (=> @t43 @t469))) % 0.58/1.30 (assume @p294 (forall (@list @t472 @t315 @t343) (=> (not (= @t343 @t475)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t315 @t472) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t474 (tptp.hAPP @t473 @t472)))))) % 0.58/1.30 (assume @p295 (forall @t364 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t477 @t45) (tptp.hAPP @t477 @t30)) (=> (not (= @t299 @t475)) @t476)))) % 0.58/1.30 (assume @p296 (forall @t479 (= (tptp.hAPP (tptp.hAPP @t464 @t478) @t292) @t292))) % 0.58/1.30 (assume @p297 (forall @t479 (= (tptp.hAPP @t480 @t478) @t292))) % 0.58/1.30 (assume @p298 (forall @t484 (= @t483 (tptp.hAPP @t482 @t292)))) % 0.58/1.30 (assume @p299 (forall @t490 (= (tptp.hAPP @t482 @t489) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t488 @t486)))) % 0.58/1.30 (assume @p300 (forall (@list @t315 @t34 @t343) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t343 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t34 @t474)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t343 @t34)))) % 0.58/1.30 (assume @p301 (forall @t484 (= (tptp.hAPP (tptp.hAPP @t464 @t491) @t481) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t483)))) % 0.58/1.30 (assume @p302 (forall @t495 (= (tptp.hAPP (tptp.hAPP @t464 (tptp.hAPP @t494 @t485)) @t492) (tptp.hAPP @t494 (tptp.hAPP @t493 @t492))))) % 0.58/1.30 (assume @p303 (forall @t498 (= (tptp.hAPP (tptp.hAPP @t464 @t489) @t481) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t497 @t496)))) % 0.58/1.30 (assume @p304 (forall (@list @t133 @t472 @t13 @t288 @t32) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t32 @t288) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t32 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 @t472)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t32 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 (tptp.hAPP (tptp.hAPP @t464 @t133) @t288)) @t472)))))) % 0.58/1.30 (assume @p305 (forall @t179 (=> @t500 (= (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t108) (tptp.c_Polynomial_OpCons @t11 @t466 @t499))))) % 0.58/1.30 (assume @p306 (forall (@list @t40 @t46 @t10) (=> (tptp.class_Groups_Oab__group__add @t10) (= (tptp.c_Groups_Ouminus__class_Ouminus @t25 (tptp.c_Polynomial_OpCons @t10 @t46 @t40)) (tptp.c_Polynomial_OpCons @t10 (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t46) (tptp.c_Groups_Ouminus__class_Ouminus @t25 @t40)))))) % 0.58/1.30 (assume @p307 (forall @t179 (=> @t502 (= (tptp.c_Polynomial_Osmult @t11 @t466 @t40) @t501)))) % 0.58/1.30 (assume @p308 (forall @t503 (=> @t500 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t499) @t30) (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t156))))) % 0.58/1.30 (assume @p309 (forall (@list @t37 @t40 @t11) (=> @t502 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t499) @t37) (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t141))))) % 0.58/1.30 (assume @p310 (forall @t274 (=> @t506 (= (= @t505 @t504) @t52)))) % 0.58/1.30 (assume @p311 (forall @t274 (=> @t506 (= (= @t505 @t51) (= @t504 @t32))))) % 0.58/1.30 (assume @p312 (forall @t274 (=> @t506 (= @t507 (= @t51 @t505))))) % 0.58/1.30 (assume @p313 (forall @t63 (=> @t506 (= (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t466) @t46)))) % 0.58/1.30 (assume @p314 (forall @t190 (=> @t500 (= (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t159) (tptp.c_Polynomial_Omonom @t11 @t466 @t30))))) % 0.58/1.30 (assume @p315 (forall @t174 (=> @t506 (= (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t12) @t12)))) % 0.58/1.30 (assume @p316 (forall @t170 (=> @t506 (= (= @t12 @t505) (= @t12 @t32))))) % 0.58/1.30 (assume @p317 (forall @t170 (=> @t169 (= (= @t32 @t505) @t33)))) % 0.58/1.30 (assume @p318 (forall @t170 (=> @t506 (= (= @t505 @t12) @t33)))) % 0.58/1.30 (assume @p319 (forall @t170 (=> @t169 (= (= @t505 @t32) @t33)))) % 0.58/1.30 (assume @p320 (forall @t509 (=> @t326 (= (tptp.hAPP (tptp.hAPP @t100 @t508) @t229) (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t294))))) % 0.58/1.30 (assume @p321 (forall @t252 (=> @t326 (= @t512 @t510)))) % 0.58/1.30 (assume @p322 (forall (@list @t37 @t332 @t11) (=> @t326 (= (tptp.hAPP @t333 @t508) (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t335))))) % 0.58/1.30 (assume @p323 (forall @t252 (=> @t326 (= @t514 @t510)))) % 0.58/1.30 (assume @p324 (forall @t252 (=> @t515 (= @t510 @t514)))) % 0.58/1.30 (assume @p325 (forall @t252 (=> @t515 (= @t510 @t512)))) % 0.58/1.30 (assume @p326 (forall @t252 (=> @t515 (= @t512 @t514)))) % 0.58/1.30 (assume @p327 (forall @t252 (=> @t515 (= (tptp.hAPP @t511 @t513) @t102)))) % 0.58/1.30 (assume @p328 (forall @t274 (=> @t43 (= (= (tptp.hAPP @t210 @t32) (tptp.hAPP @t208 @t51)) (or @t52 @t507))))) % 0.58/1.30 (assume @p329 (forall @t252 (=> @t506 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t466 @t122) @t99)))) % 0.58/1.30 (assume @p330 (forall @t252 (=> @t506 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 (tptp.c_Groups_Oplus__class_Oplus @t11 @t466 @t99)) @t99)))) % 0.58/1.30 (assume @p331 (forall @t252 (=> @t506 (= @t516 (tptp.c_Groups_Oplus__class_Oplus @t11 @t513 @t466))))) % 0.58/1.30 (assume @p332 (forall @t252 (=> @t500 (= @t516 (tptp.c_Groups_Oplus__class_Oplus @t11 @t466 @t513))))) % 0.58/1.30 (assume @p333 (forall @t55 (=> @t382 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t13 @t518) @t517)))) % 0.58/1.30 (assume @p334 (forall @t55 (=> @t382 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t519 @t53) @t517)))) % 0.58/1.30 (assume @p335 (forall @t174 (=> @t500 (= (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t18) @t18)))) % 0.58/1.30 (assume @p336 (forall @t41 (=> @t500 (= (tptp.c_Polynomial_Odegree @t11 @t499) @t82)))) % 0.58/1.30 (assume @p337 (forall @t179 (=> @t502 (= (tptp.c_Polynomial_Osmult @t11 @t46 @t499) @t501)))) % 0.58/1.30 (assume @p338 (forall @t252 (=> @t506 (=> (= @t122 @t12) (= @t466 @t99))))) % 0.58/1.30 (assume @p339 (forall @t63 (=> @t500 @t520))) % 0.58/1.30 (assume @p340 (forall @t63 (=> @t506 @t520))) % 0.58/1.30 (assume @p341 (forall @t274 (=> @t506 (= @t507 (= @t138 @t12))))) % 0.58/1.30 (assume @p342 (forall @t63 (=> @t506 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t46 @t466) @t12)))) % 0.58/1.30 (assume @p343 (forall @t16 (=> @t297 (= (= @t220 @t381) (or @t422 (= @t13 @t521)))))) % 0.58/1.30 (assume @p344 (forall @t39 (=> @t382 (= @t508 (tptp.hAPP (tptp.hAPP @t100 @t521) @t37))))) % 0.58/1.30 (assume @p345 (forall @t190 (=> @t522 (= (tptp.hAPP (tptp.hAPP @t152 @t466) @t30) (tptp.hAPP (tptp.hAPP @t100 (tptp.hAPP (tptp.hAPP @t152 @t521) @t30)) @t296))))) % 0.58/1.30 (assume @p346 (forall (@list @t32 @t524 @t523 @t11) (= (tptp.hAPP @t525 @t65) @t523))) % 0.58/1.30 (assume @p347 (forall (@list @t34 @t32 @t524 @t523 @t11) (= (tptp.hAPP @t525 @t526) (tptp.hAPP (tptp.hAPP @t524 @t32) (tptp.hAPP @t525 @t34))))) % 0.58/1.30 (assume @p348 (forall @t471 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t461 @t46) @t30) (tptp.hAPP (tptp.hAPP @t461 @t99) @t30)) (=> @t228 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t46 @t99))))) % 0.58/1.30 (assume @p349 (forall @t470 (=> @t198 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t461 @t32) @t34) (tptp.hAPP (tptp.hAPP @t461 @t51) @t34)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t32 @t51))))) % 0.58/1.30 (assume @p350 (forall @t387 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t389 @t37))) % 0.58/1.30 (assume @p351 (forall (@list @t21 @t133 @t11) (=> @t43 (= (tptp.c_Rings_Odvd__class_Odvd @t17 (tptp.c_Polynomial_OpCons @t11 @t133 @t383) @t21) (= (tptp.hAPP @t58 @t527) @t12))))) % 0.58/1.30 (assume @p352 (forall @t368 (=> @t43 (= (= (tptp.hAPP @t58 @t133) @t12) (tptp.c_Rings_Odvd__class_Odvd @t17 (tptp.c_Polynomial_OpCons @t11 @t527 @t383) @t21))))) % 0.58/1.30 (assume @p353 (forall @t55 (=> @t43 (= (= (tptp.hAPP (tptp.hAPP @t152 @t13) @t528) (tptp.hAPP (tptp.hAPP @t152 @t53) @t528)) (or @t54 (= @t13 @t518)))))) % 0.58/1.30 (assume @p354 (forall @t55 (=> @t506 (= @t529 (= @t53 @t519))))) % 0.58/1.30 (assume @p355 (forall @t509 (=> @t75 (and (=> @t534 (= @t531 @t12)) (=> @t535 (= @t531 @t381)))))) % 0.58/1.30 (assume @p356 (forall @t64 (=> @t43 (=> (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t11 @t11 @t58)) (exists (@list @t538 @t537) (and (not (= @t537 @t12)) (not (= @t538 @t65)) (exists @t539 (and (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t11 @t536) @t538) @t389) @t90) (forall @t68 (= (tptp.hAPP @t58 @t66) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t58 @t12) (tptp.hAPP (tptp.hAPP @t100 (tptp.hAPP (tptp.hAPP @t152 @t66) @t538)) (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 (tptp.c_Polynomial_OpCons @t11 @t537 @t536)) @t66))))))))))))) % 0.58/1.30 (assume @p357 (forall @t542 (= (tptp.c_Nat_Onat_Onat__size @t541) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Onat_Onat__size @t540) @t388)))) % 0.58/1.30 (assume @p358 (forall (@list @t40 @t45) (and (=> @t456 (= @t545 @t389)) (=> @t546 (= @t545 (tptp.hAPP @t260 (tptp.hAPP @t544 @t543))))))) % 0.58/1.30 (assume @p359 (forall @t509 (=> @t75 (tptp.c_Rings_Odvd__class_Odvd @t17 @t530 @t37)))) % 0.58/1.30 (assume @p360 (forall @t509 (=> @t75 (tptp.c_Rings_Odvd__class_Odvd @t17 @t530 @t229)))) % 0.58/1.30 (assume @p361 (not (= @t475 @t478))) % 0.58/1.30 (assume @p362 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t475) @t475)) % 0.58/1.30 (assume @p363 (forall @t479 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t491) @t292))) % 0.58/1.30 (assume @p364 (forall @t548 (= @t547 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t288) @t472)))) % 0.58/1.30 (assume @p365 (forall @t548 (= @t547 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t288 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t472))))) % 0.58/1.30 (assume @p366 (forall @t484 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t550) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t491 @t549)))) % 0.58/1.30 (assume @p367 (forall @t479 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t491 @t292) @t475))) % 0.58/1.30 (assume @p368 (forall @t479 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t478 @t292) @t292) @t475)))) % 0.58/1.30 (assume @p369 (forall @t509 (=> @t75 (= (tptp.c_Polynomial_Opoly__gcd @t11 @t551 @t229) @t530)))) % 0.58/1.30 (assume @p370 (forall @t509 (=> @t75 (= (tptp.c_Polynomial_Opoly__gcd @t11 @t37 @t552) @t530)))) % 0.58/1.30 (assume @p371 (forall @t554 (= @t553 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t375 @t299) @t374)))) % 0.58/1.30 (assume @p372 (forall @t160 (=> @t500 (= (tptp.c_Groups_Ominus__class_Ominus @t17 @t159 @t103) (tptp.c_Polynomial_Omonom @t11 @t555 @t30))))) % 0.58/1.30 (assume @p373 (forall @t252 (=> @t75 (= @t556 (tptp.c_Polynomial_Opoly__gcd @t11 @t99 @t46))))) % 0.58/1.30 (assume @p374 (forall @t120 (=> @t75 (= (tptp.c_Polynomial_Opoly__gcd @t11 @t99 (tptp.c_Polynomial_Opoly__gcd @t11 @t46 @t115)) @t557)))) % 0.58/1.30 (assume @p375 (forall @t124 (=> @t75 (= (tptp.c_Polynomial_Opoly__gcd @t11 @t556 @t115) @t557)))) % 0.58/1.30 (assume @p376 (forall @t291 (=> @t500 (=> @t559 (= @t52 @t290))))) % 0.58/1.30 (assume @p377 (forall @t81 (=> @t502 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t11 @t560) @t37) (tptp.c_Groups_Ominus__class_Ominus @t11 @t141 @t78))))) % 0.58/1.30 (assume @p378 (forall @t157 (=> @t500 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t560) @t30) (tptp.c_Groups_Ominus__class_Ominus @t11 @t156 @t155))))) % 0.58/1.30 (assume @p379 (forall @t151 (=> @t502 (= (tptp.c_Polynomial_Osmult @t11 @t555 @t40) (tptp.c_Groups_Ominus__class_Ominus @t17 @t150 @t158))))) % 0.58/1.30 (assume @p380 (forall @t131 (=> @t500 (= (tptp.c_Groups_Ominus__class_Ominus @t17 @t108 @t129) (tptp.c_Polynomial_OpCons @t11 @t555 @t560))))) % 0.58/1.30 (assume @p381 (forall @t479 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t475 @t292) @t292))) % 0.58/1.30 (assume @p382 (forall @t479 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t292 @t475) @t292))) % 0.58/1.30 (assume @p383 (forall @t484 (= @t550 @t561))) % 0.58/1.30 (assume @p384 (forall @t366 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t37 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t229 @t292)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t229 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t37 @t292))))) % 0.58/1.30 (assume @p385 (forall @t495 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t489 @t492) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t487 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t485 @t492))))) % 0.58/1.30 (assume @p386 (forall @t274 (=> @t506 (= @t562 @t52)))) % 0.58/1.30 (assume @p387 (forall @t274 (=> @t500 (= @t52 @t562)))) % 0.58/1.30 (assume @p388 (forall @t63 (=> @t506 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t46 @t46) @t12)))) % 0.58/1.30 (assume @p389 (forall @t63 (=> @t506 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t46 @t12) @t46)))) % 0.58/1.30 (assume @p390 (forall @t372 (=> @t326 (= (tptp.hAPP @t101 (tptp.c_Groups_Ominus__class_Ominus @t11 @t99 @t370)) (tptp.c_Groups_Ominus__class_Ominus @t11 @t102 @t371))))) % 0.58/1.30 (assume @p391 (forall @t336 (=> @t326 (= (tptp.hAPP @t333 @t563) (tptp.c_Groups_Ominus__class_Ominus @t11 @t335 @t334))))) % 0.58/1.30 (assume @p392 (forall @t331 (=> @t326 (= (tptp.hAPP (tptp.hAPP @t100 (tptp.c_Groups_Ominus__class_Ominus @t11 @t46 @t328)) @t99) (tptp.c_Groups_Ominus__class_Ominus @t11 @t102 @t330))))) % 0.58/1.30 (assume @p393 (forall @t327 (=> @t326 (= (tptp.hAPP @t564 @t321) (tptp.c_Groups_Ominus__class_Ominus @t11 @t324 @t323))))) % 0.58/1.30 (assume @p394 (forall @t252 (=> @t506 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t555 @t99) @t46)))) % 0.58/1.30 (assume @p395 (forall @t252 (=> @t506 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t122 @t99) @t46)))) % 0.58/1.30 (assume @p396 (forall @t252 (=> @t500 (= @t566 @t565)))) % 0.58/1.30 (assume @p397 (forall @t295 (=> @t382 (=> @t232 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t37 @t292) (tptp.c_Rings_Odvd__class_Odvd @t11 @t37 (tptp.c_Groups_Ominus__class_Ominus @t11 @t229 @t292))))))) % 0.58/1.30 (assume @p398 (forall @t314 (=> (= @t567 @t65) (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t45) @t65) @t49)))) % 0.58/1.30 (assume @p399 (forall @t319 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t45 @t45) @t65))) % 0.58/1.30 (assume @p400 (forall @t319 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t45 @t65) @t45))) % 0.58/1.30 (assume @p401 (forall @t320 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t30) @t65))) % 0.58/1.30 (assume @p402 (forall @t314 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t430 @t418) @t567))) % 0.58/1.30 (assume @p403 (forall @t340 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t430 @t30) (tptp.c_Nat_OSuc @t299)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t567 @t299)))) % 0.58/1.30 (assume @p404 (forall @t364 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t299 @t45) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t299 @t30) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t299 @t567))))) % 0.58/1.30 (assume @p405 (forall @t314 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t127 @t30) @t45))) % 0.58/1.30 (assume @p406 (forall @t568 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t367 @t30) @t45))) % 0.58/1.30 (assume @p407 (forall @t554 (= @t553 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t375 @t569)))) % 0.58/1.30 (assume @p408 (forall @t364 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t299 @t45) @t570) @t567))) % 0.58/1.30 (assume @p409 (forall (@list @t30 @t299 @t45) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t45 @t299) @t360) @t567))) % 0.58/1.30 (assume @p410 (forall @t340 (= (tptp.hAPP (tptp.hAPP @t259 @t567) @t299) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t359 @t339)))) % 0.58/1.30 (assume @p411 (forall @t364 (= (tptp.hAPP @t361 @t567) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t363 @t362)))) % 0.58/1.30 (assume @p412 (forall @t575 (=> @t515 (= @t574 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t142 @t573) @t572))))) % 0.58/1.30 (assume @p413 (= (tptp.c_Nat_Onat_Onat__size @t65) @t65)) % 0.58/1.30 (assume @p414 (forall @t55 (=> @t75 (= (= @t577 @t18) (and (= @t13 @t18) @t576))))) % 0.58/1.30 (assume @p415 (forall @t174 (=> @t75 (= (tptp.c_Polynomial_Opoly__gcd @t11 @t18 @t18) @t18)))) % 0.58/1.30 (assume @p416 (forall (@list @t53 @t13 @t343 @t11) (=> @t75 (= (tptp.c_Rings_Odvd__class_Odvd @t17 @t343 @t577) (and (tptp.c_Rings_Odvd__class_Odvd @t17 @t343 @t13) (tptp.c_Rings_Odvd__class_Odvd @t17 @t343 @t53)))))) % 0.58/1.30 (assume @p417 (forall (@list @t229 @t37 @t299 @t11) (=> @t75 (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t299 @t37) (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t299 @t229) (tptp.c_Rings_Odvd__class_Odvd @t17 @t299 @t530)))))) % 0.58/1.30 (assume @p418 (forall @t39 (=> @t75 (= (tptp.c_Polynomial_Opoly__gcd @t11 @t37 @t421) @t421)))) % 0.58/1.30 (assume @p419 (forall @t369 (=> @t75 (= (tptp.c_Polynomial_Opoly__gcd @t11 @t421 @t229) @t421)))) % 0.58/1.30 (assume @p420 (forall @t39 (=> @t522 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t578 @t381) (tptp.hAPP (tptp.hAPP @t100 (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t381)) (tptp.c_Groups_Ominus__class_Ominus @t11 @t37 @t381)))))) % 0.58/1.30 (assume @p421 (forall @t584 (=> @t515 (= @t583 (= @t580 @t288))))) % 0.58/1.30 (assume @p422 (forall @t584 (=> @t515 (= @t583 (= @t133 @t585))))) % 0.58/1.30 (assume @p423 (forall @t575 (=> @t326 (= @t574 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t571 @t573) @t572) (tptp.hAPP @t101 @t573)))))) % 0.58/1.30 (assume @p424 (forall @t63 (=> @t506 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t12 @t46) @t466)))) % 0.58/1.30 (assume @p425 (forall @t252 (=> @t506 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t46 @t513) @t122)))) % 0.58/1.30 (assume @p426 (forall @t252 (=> @t500 @t586))) % 0.58/1.30 (assume @p427 (forall @t252 (=> @t506 @t586))) % 0.58/1.30 (assume @p428 (forall @t509 (=> @t382 (= @t563 (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t587))))) % 0.58/1.30 (assume @p429 (forall @t568 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t367) @t65))) % 0.58/1.30 (assume @p430 (forall @t320 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t418 @t389) @t30))) % 0.58/1.30 (assume @p431 (forall @t314 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t45 @t418) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t543 @t30)))) % 0.58/1.30 (assume @p432 (forall (@list @t472 @t588 @t288 @t11) (=> (and @t502 @t196) (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t288 @t588) (forall (@list @t3 @t538) (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t288 (tptp.c_Groups_Oplus__class_Oplus @t11 @t3 @t472)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t288 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t3 (tptp.hAPP (tptp.hAPP @t100 @t538) @t588)) @t472)))))))) % 0.58/1.30 (assume @p433 (forall @t509 (=> @t382 (= (tptp.c_Groups_Ominus__class_Ominus @t11 (tptp.hAPP @t176 @t528) (tptp.hAPP @t230 @t528)) (tptp.hAPP @t564 @t325))))) % 0.58/1.30 (assume @p434 (forall @t313 (=> @t20 (= (tptp.c_Polynomial_Odegree @t11 @t310) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t82 @t389))))) % 0.58/1.30 (assume @p435 (forall @t314 (and (=> @t456 (= @t127 @t30)) (=> @t546 (= @t127 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t543 @t30))))))) % 0.58/1.30 (assume @p436 (forall @t314 (and (=> @t456 (= @t266 @t65)) (=> @t546 (= @t266 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 (tptp.hAPP (tptp.hAPP @t259 @t543) @t30))))))) % 0.58/1.30 (assume @p437 (forall (@list @t45 @t30 @t11) (=> @t204 (and (=> @t227 (= @t592 @t381)) (=> @t228 (= @t592 (tptp.hAPP @t591 (tptp.hAPP @t590 @t589)))))))) % 0.58/1.30 (assume @p438 (forall (@list @t229 @t37 @t223 @t11) (=> @t75 (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t223 @t37) (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t223 @t229) (=> (forall @t594 (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t538 @t37) (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t538 @t229) (tptp.c_Rings_Odvd__class_Odvd @t17 @t538 @t223)))) (=> (and (=> @t534 (= @t593 @t12)) (=> @t535 (= @t593 @t381))) (= @t530 @t223)))))))) % 0.58/1.30 (assume @p439 (forall @t542 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t541) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t540) @t388)))) % 0.58/1.30 (assume @p440 (forall @t252 (=> @t500 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t466 @t513) @t566)))) % 0.58/1.30 (assume @p441 (forall (@list @t223 @t99 @t115 @t46 @t11) (=> @t500 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t121 @t253) (tptp.c_Groups_Oplus__class_Oplus @t11 @t555 (tptp.c_Groups_Ominus__class_Ominus @t11 @t115 @t223)))))) % 0.58/1.30 (assume @p442 (forall @t320 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t30) @t30))) % 0.58/1.30 (assume @p443 (forall @t490 (= (tptp.hAPP @t482 @t595) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t488 @t486)))) % 0.58/1.30 (assume @p444 (forall @t498 (= (tptp.hAPP (tptp.hAPP @t464 @t595) @t481) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t497 @t496)))) % 0.58/1.30 (assume @p445 (forall @t41 (=> @t500 (= (tptp.c_Groups_Ominus__class_Ominus @t17 @t40 @t18) @t40)))) % 0.58/1.30 (assume @p446 (forall @t364 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t299 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t45 @t30)) @t596))) % 0.58/1.30 (assume @p447 (forall @t109 (=> @t502 (= (tptp.c_Polynomial_Osmult @t11 @t46 @t560) (tptp.c_Groups_Ominus__class_Ominus @t17 @t150 @t162))))) % 0.58/1.30 (assume @p448 (forall @t484 (= @t598 @t597))) % 0.58/1.30 (assume @p449 (forall @t484 (= @t597 @t598))) % 0.58/1.30 (assume @p450 (forall @t89 (=> @t500 (= (tptp.c_Groups_Ominus__class_Ominus @t17 @t18 @t77) (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t77))))) % 0.58/1.30 (assume @p451 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t65) @t65)) % 0.58/1.30 (assume @p452 (forall @t39 (=> @t75 (= (tptp.c_Polynomial_Opoly__gcd @t11 @t37 @t18) @t600)))) % 0.58/1.30 (assume @p453 (forall @t602 (=> @t267 (=> @t601 (= (tptp.hAPP (tptp.hAPP @t100 (tptp.hAPP @t176 @t589)) @t37) @t177))))) % 0.58/1.30 (assume @p454 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t65)) % 0.58/1.30 (assume @p455 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t65)) % 0.58/1.30 (assume @p456 (forall @t320 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t65)))) % 0.58/1.30 (assume @p457 (forall @t320 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t418))) % 0.58/1.30 (assume @p458 (forall @t314 (=> @t604 @t603))) % 0.58/1.30 (assume @p459 (forall @t320 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t418))) % 0.58/1.30 (assume @p460 (forall @t609 (=> @t608 (=> @t607 @t605)))) % 0.58/1.30 (assume @p461 (forall @t302 (=> @t608 (=> @t610 @t605)))) % 0.58/1.30 (assume @p462 (forall @t255 (=> @t614 (=> @t605 @t613)))) % 0.58/1.30 (assume @p463 (forall @t124 (=> @t614 (=> @t605 @t607)))) % 0.58/1.30 (assume @p464 (forall @t124 (=> @t614 (=> @t605 @t610)))) % 0.58/1.30 (assume @p465 (forall @t216 (=> @t608 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t135 @t616) @t615)))) % 0.58/1.30 (assume @p466 (forall @t212 (=> @t608 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t137 @t617) @t615)))) % 0.58/1.30 (assume @p467 (forall @t291 (=> @t618 (=> @t559 (= @t615 (tptp.c_Orderings_Oord__class_Oless @t11 @t133 @t288)))))) % 0.58/1.30 (assume @p468 (forall @t278 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t504 @t505) @t615)))) % 0.58/1.30 (assume @p469 (forall @t274 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t505 @t51) (tptp.c_Orderings_Oord__class_Oless @t11 @t504 @t32))))) % 0.58/1.30 (assume @p470 (forall @t274 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t32 @t504) (tptp.c_Orderings_Oord__class_Oless @t11 @t51 @t505))))) % 0.58/1.30 (assume @p471 (forall @t620 (= @t198 @t619))) % 0.58/1.30 (assume @p472 (forall @t314 (=> @t604 @t228))) % 0.58/1.30 (assume @p473 (forall @t320 (=> @t228 @t601))) % 0.58/1.30 (assume @p474 (forall @t314 (=> @t603 @t604))) % 0.58/1.30 (assume @p475 (forall @t314 (=> @t621 @t604))) % 0.58/1.30 (assume @p476 (forall @t314 (=> @t623 (=> @t622 @t49)))) % 0.58/1.30 (assume @p477 (forall @t554 (=> @t626 (=> @t625 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t624 @t299))))) % 0.58/1.30 (assume @p478 (forall @t314 (=> @t604 (=> (not (= @t430 @t30)) @t621)))) % 0.58/1.30 (assume @p479 (forall @t314 (=> @t604 @t623))) % 0.58/1.30 (assume @p480 (forall @t568 (=> (not @t627) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t430) @t49)))) % 0.58/1.30 (assume @p481 (forall @t631 (=> (not @t630) (= @t629 (= @t34 @t315))))) % 0.58/1.30 (assume @p482 (forall @t318 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t628 @t526) @t632))) % 0.58/1.30 (assume @p483 (forall @t318 (= @t633 (or @t632 @t345)))) % 0.58/1.30 (assume @p484 (forall @t318 (= (not @t632) @t629))) % 0.58/1.30 (assume @p485 (forall @t554 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t376 @t299) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t375 @t299)))) % 0.58/1.30 (assume @p486 (forall (@list @t30 @t45 @t634 @t299) (=> @t635 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t45 @t634) @t570) @t604)))) % 0.58/1.30 (assume @p487 (forall (@list @t634 @t299 @t374 @t375) (=> @t626 (=> @t635 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t636 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t374 @t634)))))) % 0.58/1.30 (assume @p488 (forall @t554 (=> @t626 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t636 @t569)))) % 0.58/1.30 (assume @p489 (forall @t637 (=> @t626 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t375 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t45 @t374))))) % 0.58/1.30 (assume @p490 (forall @t637 (=> @t626 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t375 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t374 @t45))))) % 0.58/1.30 (assume @p491 (forall @t351 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t358 @t357) @t632))) % 0.58/1.30 (assume @p492 (forall (@list @t375 @t374) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t374 @t375) @t375)))) % 0.58/1.30 (assume @p493 (forall (@list @t374 @t375) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t376 @t375)))) % 0.58/1.30 (assume @p494 (forall (@list @t634 @t30 @t45) (=> @t604 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t45 @t634) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t634 @t30) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t634 @t45)))))) % 0.58/1.30 (assume @p495 (forall (@list @t30 @t299 @t374) (=> @t625 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t374 @t30) @t299)))) % 0.58/1.30 (assume @p496 (forall @t320 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t30)))) % 0.58/1.30 (assume @p497 (forall @t318 (= (not @t345) (or @t632 @t630)))) % 0.58/1.30 (assume @p498 (forall @t404 (=> @t417 (=> (not @t638) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t229 @t37))))) % 0.58/1.30 (assume @p499 (forall @t568 (=> @t627 @t50))) % 0.58/1.30 (assume @p500 (forall (@list @t639 @t640) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t640 @t639) (not (= @t640 @t639))))) % 0.58/1.30 (assume @p501 (forall (@list @t193 @t34 @t315) (=> (=> @t632 @t642) (=> (=> @t345 @t642) (=> (=> @t630 @t642) @t642))))) % 0.58/1.30 (assume @p502 (forall @t63 (=> @t645 @t644))) % 0.58/1.30 (assume @p503 (forall @t274 (=> @t645 (= (= @t646 (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t51)) @t52)))) % 0.58/1.30 (assume @p504 (forall @t509 (=> @t647 (=> @t417 (=> (not (tptp.c_Orderings_Oord__class_Oless @t11 @t37 @t229)) (tptp.c_Orderings_Oord__class_Oless @t11 @t229 @t37)))))) % 0.58/1.30 (assume @p505 (forall @t252 (=> @t645 (=> @t649 @t225)))) % 0.58/1.30 (assume @p506 (forall @t190 (=> @t645 @t650))) % 0.58/1.30 (assume @p507 (forall @t63 (=> @t645 @t651))) % 0.58/1.30 (assume @p508 (forall @t174 (=> @t652 (= (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t381) @t381)))) % 0.58/1.30 (assume @p509 (forall @t174 (=> @t645 @t653))) % 0.58/1.30 (assume @p510 (forall @t170 (=> @t645 (= (= @t646 @t12) @t33)))) % 0.58/1.30 (assume @p511 (forall @t63 (=> @t652 (=> @t189 (not @t654))))) % 0.58/1.30 (assume @p512 (forall @t63 (=> @t652 (=> @t189 @t644)))) % 0.58/1.30 (assume @p513 (forall @t63 (=> @t652 (=> @t654 @t188)))) % 0.58/1.30 (assume @p514 (forall @t252 (=> @t652 (=> @t649 (=> @t189 (=> @t271 @t225)))))) % 0.58/1.30 (assume @p515 (forall @t660 (=> @t659 (=> @t658 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t657 @t656) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t53)))))) % 0.58/1.30 (assume @p516 (forall @t268 (=> @t659 (=> @t661 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t264 @t296) @t604))))) % 0.58/1.30 (assume @p517 (forall @t665 (=> @t659 (=> @t664 (=> @t661 (tptp.c_Orderings_Oord__class_Oless @t11 @t296 @t663)))))) % 0.58/1.30 (assume @p518 (forall @t665 (=> @t659 (=> @t664 (=> @t667 (=> @t666 (tptp.c_Orderings_Oord__class_Oless @t11 @t663 @t296))))))) % 0.58/1.30 (assume @p519 (forall @t190 (=> @t659 (=> @t661 (=> @t601 (tptp.c_Orderings_Oord__class_Oless @t11 @t381 @t296)))))) % 0.58/1.30 (assume @p520 (forall @t252 (=> @t652 (=> @t189 (=> @t271 (= @t668 (tptp.hAPP (tptp.hAPP @t100 @t648) @t643))))))) % 0.58/1.30 (assume @p521 (forall @t63 (=> @t652 (=> @t189 @t651)))) % 0.58/1.30 (assume @p522 (forall @t252 (=> @t652 (=> (= @t102 @t381) (= @t643 @t99))))) % 0.58/1.30 (assume @p523 (forall @t190 (=> @t652 (=> @t189 @t650)))) % 0.58/1.30 (assume @p524 (forall @t120 (=> @t222 (=> @t674 (=> @t673 @t672))))) % 0.58/1.30 (assume @p525 (forall @t120 (=> @t222 (=> @t674 (=> @t673 @t675))))) % 0.58/1.30 (assume @p526 (forall @t124 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t11) @t677))) % 0.58/1.30 (assume @p527 (forall @t124 (=> @t678 @t677))) % 0.58/1.30 (assume @p528 (forall @t124 (=> @t678 (=> @t605 (=> @t676 @t675))))) % 0.58/1.30 (assume @p529 (forall @t252 (=> @t222 (=> @t681 (=> @t680 @t679))))) % 0.58/1.30 (assume @p530 (forall @t252 (=> @t678 (=> @t681 (=> @t683 @t682))))) % 0.58/1.30 (assume @p531 (forall @t216 (=> @t222 (=> @t686 (= @t685 @t684))))) % 0.58/1.30 (assume @p532 (forall @t688 (=> @t678 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t251) @t687)))) % 0.58/1.30 (assume @p533 (forall @t252 (=> @t678 (=> @t679 @t687)))) % 0.58/1.30 (assume @p534 (forall @t252 (=> @t678 (=> @t667 (=> @t680 (tptp.c_Orderings_Oord__class_Oless @t11 @t251 @t12)))))) % 0.58/1.30 (assume @p535 (forall @t252 (=> @t678 (=> @t667 (=> @t680 @t682))))) % 0.58/1.30 (assume @p536 (forall @t252 (=> @t678 (=> @t667 (=> @t683 @t679))))) % 0.58/1.30 (assume @p537 (forall @t216 (=> @t222 (=> @t689 (= @t685 @t615))))) % 0.58/1.30 (assume @p538 (forall @t216 (=> @t222 (= @t685 @t690)))) % 0.58/1.30 (assume @p539 (forall @t212 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t211 @t209) @t690)))) % 0.58/1.30 (assume @p540 (forall @t63 (=> @t692 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t691 @t12))))) % 0.58/1.30 (assume @p541 (forall @t170 (=> @t647 @t694))) % 0.58/1.30 (assume @p542 (forall @t124 (=> @t659 (=> @t667 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t99 @t115) @t695))))) % 0.58/1.30 (assume @p543 (forall @t170 (=> @t169 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t168) @t696)))) % 0.58/1.30 (assume @p544 (forall @t170 (=> @t169 @t694))) % 0.58/1.30 (assume @p545 (forall @t252 (=> @t699 (=> @t667 @t698)))) % 0.58/1.30 (assume @p546 (forall @t252 (=> @t699 (=> @t681 (=> @t680 (tptp.c_Orderings_Oord__class_Oless @t11 @t122 @t12)))))) % 0.58/1.30 (assume @p547 (forall @t274 (=> @t618 (= @t615 (tptp.c_Orderings_Oord__class_Oless @t11 @t558 @t12))))) % 0.58/1.30 (assume @p548 (forall @t174 (=> @t659 (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t381)))) % 0.58/1.30 (assume @p549 (forall @t174 (=> @t659 (not (tptp.c_Orderings_Oord__class_Oless @t11 @t381 @t12))))) % 0.58/1.30 (assume @p550 (forall @t170 (=> @t169 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t505 @t32) @t696)))) % 0.58/1.30 (assume @p551 (forall @t170 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t505 @t12) @t696)))) % 0.58/1.30 (assume @p552 (forall @t170 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t505) @t693)))) % 0.58/1.30 (assume @p553 (forall @t170 (=> @t647 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t32 @t505) @t693)))) % 0.58/1.30 (assume @p554 (forall (@list @t30 @t45 @t11) (=> @t659 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t381 @t45) (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t381 @t30) (tptp.c_Orderings_Oord__class_Oless @t11 @t381 (tptp.hAPP @t591 @t30))))))) % 0.58/1.30 (assume @p555 (forall @t190 (=> @t659 (=> @t667 (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t296))))) % 0.58/1.30 (assume @p556 (forall @t63 (=> @t659 (tptp.c_Orderings_Oord__class_Oless @t11 @t46 @t448)))) % 0.58/1.30 (assume @p557 (forall (@list @t34 @t315 @t32 @t11) (=> @t659 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t381 @t32) (= (= (tptp.hAPP @t199 @t315) @t200) @t345))))) % 0.58/1.30 (assume @p558 (forall @t318 (= @t633 (or @t316 (exists (@list @t700) (and (= @t315 (tptp.c_Nat_OSuc @t700)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t700 @t34))))))) % 0.58/1.30 (assume @p559 (forall @t620 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t34 @t388) @t197))) % 0.58/1.30 (assume @p560 (forall @t620 (= @t619 (exists (@list @t701) (= @t34 (tptp.c_Nat_OSuc @t701)))))) % 0.58/1.30 (assume @p561 (forall @t314 (=> @t702 (=> @t604 (not @t410))))) % 0.58/1.30 (assume @p562 (forall @t568 (=> @t601 (=> @t411 @t702)))) % 0.58/1.30 (assume @p563 (forall @t318 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t317) (or @t703 @t619)))) % 0.58/1.30 (assume @p564 (forall @t704 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t375 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t375 @t45))))) % 0.58/1.30 (assume @p565 (forall @t704 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t375 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t45 @t375))))) % 0.58/1.30 (assume @p566 (forall @t318 (= @t632 (exists @t594 (= @t34 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t315 @t538))))))) % 0.58/1.30 (assume @p567 (forall @t351 (=> @t706 (= @t705 @t632)))) % 0.58/1.30 (assume @p568 (forall @t351 (=> @t706 (= @t350 @t345)))) % 0.58/1.30 (assume @p569 (forall @t554 (=> @t626 (=> @t707 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t361 @t375) (tptp.hAPP @t361 @t374)))))) % 0.58/1.30 (assume @p570 (forall @t554 (=> @t626 (=> @t707 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t378 @t299) (tptp.hAPP @t377 @t299)))))) % 0.58/1.30 (assume @p571 (forall @t355 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t354 @t353) @t708))) % 0.58/1.30 (assume @p572 (forall @t351 (= @t705 @t708))) % 0.58/1.30 (assume @p573 (forall @t318 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t342) (and @t703 @t619)))) % 0.58/1.30 (assume @p574 (forall @t568 (=> @t601 (=> @t702 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t567 @t45))))) % 0.58/1.30 (assume @p575 (forall @t631 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t34 @t315)) @t632))) % 0.58/1.30 (assume @p576 (forall @t351 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t438 @t437) @t632))) % 0.58/1.30 (assume @p577 (forall @t314 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t567 @t430))) % 0.58/1.30 (assume @p578 (forall (@list @t343 @t709 @t710) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t710 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t709 @t343)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t710 @t343) @t709)))) % 0.58/1.30 (assume @p579 (forall @t314 (=> @t622 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 @t567) @t45)))) % 0.58/1.30 (assume @p580 (forall @t713 (= @t712 (or @t711 @t197)))) % 0.58/1.30 (assume @p581 (forall (@list @t30 @t45 @t375) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t375) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t714 @t45) (tptp.hAPP @t714 @t30)) @t604)))) % 0.58/1.30 (assume @p582 (forall @t718 (=> @t130 (=> @t717 (=> @t716 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t715 @t30)))))) % 0.58/1.30 (assume @p583 (forall @t114 (=> @t130 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t82 @t110) (= @t715 @t110))))) % 0.58/1.30 (assume @p584 (forall (@list @t40 @t77 @t11) (=> @t130 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t110 @t82) (= @t715 @t82))))) % 0.58/1.30 (assume @p585 (forall @t718 (=> @t500 (=> @t717 (=> @t716 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t11 @t560) @t30)))))) % 0.58/1.30 (assume @p586 (forall @t252 (=> @t652 (=> @t189 (=> @t271 (= @t720 (tptp.hAPP (tptp.hAPP @t100 (tptp.hAPP @t719 @t122)) @t648))))))) % 0.58/1.30 (assume @p587 (forall @t252 (=> @t652 (=> @t189 (=> @t271 (= @t721 (tptp.hAPP (tptp.hAPP @t100 (tptp.hAPP @t719 @t565)) @t648))))))) % 0.58/1.30 (assume @p588 (forall @t63 (=> @t652 @t722))) % 0.58/1.30 (assume @p589 (forall @t63 (=> @t652 (=> @t189 (= (tptp.hAPP @t101 @t643) @t381))))) % 0.58/1.30 (assume @p590 (forall @t55 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t221) (or (not @t14) @t723))))) % 0.58/1.30 (assume @p591 (forall @t509 (=> @t692 (not (tptp.c_Orderings_Oord__class_Oless @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t578 (tptp.hAPP @t322 @t229)) @t12))))) % 0.58/1.30 (assume @p592 (forall @t174 (=> @t659 (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t450)))) % 0.58/1.30 (assume @p593 (forall @t584 (=> @t725 (= @t724 (tptp.c_Orderings_Oord__class_Oless @t11 @t133 @t585))))) % 0.58/1.30 (assume @p594 (forall @t584 (=> @t725 (= @t724 (tptp.c_Orderings_Oord__class_Oless @t11 @t580 @t288))))) % 0.58/1.30 (assume @p595 (forall @t190 (=> @t659 (=> @t661 (tptp.c_Orderings_Oord__class_Oless @t11 @t296 @t308))))) % 0.58/1.30 (assume @p596 (forall @t190 (=> @t659 (=> @t661 (tptp.c_Orderings_Oord__class_Oless @t11 @t381 @t308))))) % 0.58/1.30 (assume @p597 (forall @t190 (=> @t659 (=> @t661 (tptp.c_Orderings_Oord__class_Oless @t11 @t381 @t447))))) % 0.58/1.30 (assume @p598 (forall @t568 (=> @t727 (=> @t726 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t388 @t266))))) % 0.58/1.30 (assume @p599 (forall @t568 (=> @t727 (=> @t726 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t338))))) % 0.58/1.30 (assume @p600 (forall @t568 (=> @t727 (=> @t726 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t266))))) % 0.58/1.30 (assume @p601 (forall (@list @t375 @t30) (=> @t601 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t624) @t30)))) % 0.58/1.30 (assume @p602 (forall @t320 (=> @t601 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t388)) @t30)))) % 0.58/1.30 (assume @p603 (forall @t351 (=> @t706 (= @t380 @t379)))) % 0.58/1.30 (assume @p604 (forall @t364 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t363 @t362) (=> @t707 @t411)))) % 0.58/1.30 (assume @p605 (forall @t735 (= @t734 (not (or (and @t733 (not @t732)) (exists @t731 (and @t730 (not @t729)))))))) % 0.58/1.30 (assume @p606 (forall @t735 (= @t734 (and (=> @t733 @t732) (forall @t731 (=> @t730 @t729)))))) % 0.58/1.30 (assume @p607 (forall @t503 (=> @t15 (=> @t717 (= @t156 @t12))))) % 0.58/1.30 (assume @p608 (forall @t252 (=> @t652 (=> @t189 (=> @t271 (= @t721 (tptp.c_Groups_Ouminus__class_Ouminus @t11 (tptp.hAPP (tptp.hAPP @t100 (tptp.hAPP @t719 @t555)) @t648)))))))) % 0.58/1.30 (assume @p609 (forall @t190 (=> @t659 (=> @t667 (=> @t666 (tptp.c_Orderings_Oord__class_Oless @t11 @t308 @t296)))))) % 0.58/1.30 (assume @p610 (forall @t190 (=> @t659 (=> @t667 (=> @t666 (tptp.c_Orderings_Oord__class_Oless @t11 @t447 @t381)))))) % 0.58/1.30 (assume @p611 (forall @t602 (=> @t154 (=> (or @t601 (= @t37 @t381)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t37 @t177))))) % 0.58/1.30 (assume @p612 (forall @t320 (=> @t601 (= @t736 @t30)))) % 0.58/1.30 (assume @p613 (forall @t320 (=> @t601 (= @t30 @t736)))) % 0.58/1.30 (assume @p614 (forall @t318 (=> @t703 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t352 @t315) @t315) @t439)))) % 0.58/1.30 (assume @p615 (forall @t318 (=> @t703 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t342 @t315) @t439)))) % 0.58/1.30 (assume @p616 (forall @t63 (=> @t75 @t722))) % 0.58/1.30 (assume @p617 (forall @t63 (=> @t737 (=> @t667 (=> @t666 (tptp.c_Orderings_Oord__class_Oless @t11 @t381 @t643)))))) % 0.58/1.30 (assume @p618 (forall @t16 (=> @t739 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t381 @t738) (and (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t13) (tptp.c_Orderings_Oord__class_Oless @t11 @t13 @t381)))))) % 0.58/1.30 (assume @p619 (forall @t252 (=> @t75 (=> @t189 (=> @t271 (= @t720 (tptp.hAPP (tptp.hAPP @t100 (tptp.hAPP @t284 @t643)) @t648))))))) % 0.58/1.30 (assume @p620 (forall @t554 (=> @t740 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t375 @t299) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t374 @t299))))) % 0.58/1.30 (assume @p621 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t475 @t478)) % 0.58/1.30 (assume @p622 (forall @t554 (=> @t740 (=> @t741 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t477 @t375) (tptp.hAPP @t477 @t374)))))) % 0.58/1.30 (assume @p623 (forall (@list @t24 @t279) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t279 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t24 @t478)) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t279 @t24) (= @t279 @t24))))) % 0.58/1.30 (assume @p624 (forall (@list @t194 @t343) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t194) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t343 @t194) @t475)))) % 0.58/1.30 (assume @p625 (forall @t314 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t475 @t45) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t45 @t30) (not @t742))))) % 0.58/1.30 (assume @p626 (forall (@list @t24) (= (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 @t478 @t24) @t24) @t475) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t24 @t475)))) % 0.58/1.30 (assume @p627 (forall @t318 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t475 @t315) (= (= (tptp.hAPP (tptp.hAPP @t464 @t315) @t34) @t478) (and (= @t315 @t478) (= @t34 @t478)))))) % 0.58/1.30 (assume @p628 (forall @t174 (=> @t743 @t653))) % 0.58/1.30 (assume @p629 (forall @t252 (=> @t743 (= @t668 (tptp.hAPP @t719 @t648))))) % 0.58/1.30 (assume @p630 (forall @t16 (=> @t743 (= (= @t738 @t381) @t422)))) % 0.58/1.30 (assume @p631 (forall @t170 (=> @t739 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t646) @t696)))) % 0.58/1.30 (assume @p632 (forall @t170 (=> @t739 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t646 @t12) @t693)))) % 0.58/1.30 (assume @p633 (forall @t63 (=> @t737 (=> @t667 @t744)))) % 0.58/1.30 (assume @p634 (forall @t63 (=> @t737 (=> @t744 (=> @t189 @t667))))) % 0.58/1.30 (assume @p635 (forall @t63 (=> @t737 (=> @t681 @t745)))) % 0.58/1.30 (assume @p636 (forall @t252 (=> @t737 (=> @t605 (=> @t667 @t746))))) % 0.58/1.30 (assume @p637 (forall @t252 (=> @t737 (=> @t605 (=> @t680 @t746))))) % 0.58/1.30 (assume @p638 (forall @t63 (=> @t737 (=> @t745 (=> @t189 @t681))))) % 0.58/1.30 (assume @p639 (forall @t252 (=> @t737 (=> @t747 (=> @t667 @t674))))) % 0.58/1.30 (assume @p640 (forall @t252 (=> @t737 (=> @t747 (=> @t680 @t674))))) % 0.58/1.30 (assume @p641 (forall @t713 (= @t712 (or @t197 @t711)))) % 0.58/1.30 (assume @p642 (forall @t387 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t528) (or (= @t37 @t65) (= @t37 @t388))))) % 0.58/1.30 (assume @p643 (forall (@list @t748 @t56 @t53 @t13 @t11) (=> @t75 (= (tptp.c_Polynomial_Opdivmod__rel @t11 @t13 @t53 @t56 @t748) (and (= @t13 (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.hAPP (tptp.hAPP @t105 @t56) @t53) @t748)) (=> @t576 @t74) (=> (not @t576) (or @t749 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t11 @t748) (tptp.c_Polynomial_Odegree @t11 @t53))))))))) % 0.58/1.30 (assume @p644 (forall @t404 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t37 @t229) @t403 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t229 @t37)))) % 0.58/1.30 (assume @p645 (forall (@list @t748 @t56 @t53 @t11) (=> @t75 (= (tptp.c_Polynomial_Opdivmod__rel @t11 @t18 @t53 @t56 @t748) (and @t74 @t749))))) % 0.58/1.30 (assume @p646 (forall (@list @t748 @t56 @t13 @t11) (=> @t75 (= (tptp.c_Polynomial_Opdivmod__rel @t11 @t13 @t18 @t56 @t748) (and @t74 (= @t748 @t13)))))) % 0.58/1.30 (assume @p647 (forall @t369 (=> @t75 (tptp.c_Polynomial_Opdivmod__rel @t11 @t18 @t229 @t18 @t18)))) % 0.58/1.30 (assume @p648 (forall @t39 (=> @t75 (tptp.c_Polynomial_Opdivmod__rel @t11 @t37 @t18 @t18 @t37)))) % 0.58/1.30 (assume @p649 (forall (@list @t46 @t140 @t77 @t229 @t37 @t11) (=> @t75 (=> @t751 (tptp.c_Polynomial_Opdivmod__rel @t11 @t750 @t229 @t162 (tptp.c_Polynomial_Osmult @t11 @t46 @t140)))))) % 0.58/1.30 (assume @p650 (forall @t759 (=> @t75 (=> @t758 (=> @t756 @t754))))) % 0.58/1.30 (assume @p651 (forall @t759 (=> @t75 (=> @t758 (=> @t756 @t760))))) % 0.58/1.30 (assume @p652 (forall @t759 (=> @t75 (=> @t758 (=> @t756 (and @t754 @t760)))))) % 0.58/1.30 (assume @p653 (forall (@list @t761 @t763 @t292 @t140 @t77 @t229 @t37 @t11) (=> @t75 (=> @t751 (=> (tptp.c_Polynomial_Opdivmod__rel @t11 @t77 @t292 @t763 @t761) (tptp.c_Polynomial_Opdivmod__rel @t11 @t37 @t764 @t763 (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.hAPP @t762 @t761) @t140))))))) % 0.58/1.30 (assume @p654 (forall (@list @t140 @t77 @t229 @t37 @t46 @t11) (=> @t75 (=> @t189 (=> @t751 (tptp.c_Polynomial_Opdivmod__rel @t11 @t37 @t765 (tptp.c_Polynomial_Osmult @t11 @t643 @t77) @t140)))))) % 0.58/1.30 (assume @p655 (forall (@list @t46 @t99 @t140 @t77 @t229 @t37 @t11) (=> @t75 (=> @t751 (=> @t770 (=> (= @t99 (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t766) @t768) @t769)) (tptp.c_Polynomial_Opdivmod__rel @t11 @t767 @t229 @t129 (tptp.c_Groups_Ominus__class_Ominus @t17 @t766 (tptp.c_Polynomial_Osmult @t11 @t99 @t229))))))))) % 0.58/1.30 (assume @p656 (forall @t366 (=> @t638 @t771))) % 0.58/1.30 (assume @p657 (forall (@list @t229 @t292 @t37) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t292) @t771))) % 0.58/1.30 (assume @p658 (forall @t274 (=> @t739 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t774) (or (and @t696 @t773) (and @t693 @t772)))))) % 0.58/1.30 (assume @p659 (forall @t274 (=> @t739 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t774 @t12) (or (and @t696 @t772) (and @t693 @t773)))))) % 0.58/1.30 (assume @p660 (forall @t509 (=> @t737 (=> @t778 (=> @t777 @t776))))) % 0.58/1.30 (assume @p661 (forall @t509 (=> @t737 (=> @t778 (=> @t780 @t779))))) % 0.58/1.30 (assume @p662 (forall @t509 (=> @t737 (=> @t781 (=> @t777 @t779))))) % 0.58/1.30 (assume @p663 (forall @t509 (=> @t737 (=> @t781 (=> @t780 @t776))))) % 0.58/1.30 (assume @p664 (forall @t124 (=> @t737 (=> @t605 (=> @t676 @t784))))) % 0.58/1.30 (assume @p665 (forall @t120 (=> @t737 (=> @t674 (=> @t673 @t784))))) % 0.58/1.30 (assume @p666 (forall @t609 (=> @t652 (=> @t786 (=> (= @t286 @t99) (= @t46 @t782)))))) % 0.58/1.30 (assume @p667 (forall @t787 (=> @t652 (=> @t786 (=> (= @t99 @t286) (= @t782 @t46)))))) % 0.58/1.30 (assume @p668 (forall @t792 (=> @t652 (=> @t791 (= @t790 @t788))))) % 0.58/1.30 (assume @p669 (forall @t216 (=> @t652 (=> @t791 (= @t794 @t793))))) % 0.58/1.30 (assume @p670 (forall @t139 (=> @t743 (= @t794 (and (=> @t791 @t793) @t795))))) % 0.58/1.30 (assume @p671 (forall @t796 (=> @t743 (= @t790 (and (=> @t791 @t788) @t795))))) % 0.58/1.30 (assume @p672 (forall @t609 (=> @t743 (=> @t786 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t286 @t145) @t797))))) % 0.58/1.30 (assume @p673 (forall @t609 (=> @t743 (=> @t786 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t671 @t670) @t797))))) % 0.58/1.30 (assume @p674 (forall (@list @t279 @t13 @t24 @t53 @t11) (=> @t75 (=> @t723 (=> (not (= @t24 @t12)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t13 @t53) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t279 @t24)) (= @t281 @t282))))))) % 0.58/1.30 (assume @p675 (forall @t278 (=> @t652 (=> (not @t272) (= (= @t774 @t381) @t52))))) % 0.58/1.30 (assume @p676 (forall @t63 (=> @t652 @t799))) % 0.58/1.30 (assume @p677 (forall @t63 (=> @t645 (and (=> @t188 (= @t798 @t12)) @t799)))) % 0.58/1.30 (assume @p678 (forall @t688 (=> @t652 (=> @t271 @t800)))) % 0.58/1.30 (assume @p679 (forall @t688 (=> @t652 (=> @t271 @t802)))) % 0.58/1.30 (assume @p680 (forall (@list @t30 @t46 @t99 @t11) (=> @t75 (=> @t271 @t803)))) % 0.58/1.30 (assume @p681 (forall @t190 (=> @t743 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t381 @t296) (tptp.hAPP (tptp.hAPP @t152 @t804) @t30))))) % 0.58/1.30 (assume @p682 (forall @t327 (=> @t807 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t563 @t321) (tptp.c_Groups_Ominus__class_Ominus @t11 @t806 @t805))))) % 0.58/1.30 (assume @p683 (forall @t124 (=> @t652 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t555 @t115) (tptp.c_Groups_Ominus__class_Ominus @t11 @t783 @t782))))) % 0.58/1.30 (assume @p684 (forall @t63 (=> @t645 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t46 @t12) @t12)))) % 0.58/1.30 (assume @p685 (forall @t63 (=> @t652 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t12 @t46) @t12)))) % 0.58/1.30 (assume @p686 (forall @t369 (=> @t807 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t12 @t229) @t12)))) % 0.58/1.30 (assume @p687 (forall @t124 (=> @t652 (= (tptp.hAPP @t101 @t782) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t102 @t115))))) % 0.58/1.30 (assume @p688 (forall @t124 (=> @t652 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t122 @t115) (tptp.c_Groups_Oplus__class_Oplus @t11 @t783 @t782))))) % 0.58/1.30 (assume @p689 (forall @t327 (=> @t807 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t325 @t321) (tptp.c_Groups_Oplus__class_Oplus @t11 @t806 @t805))))) % 0.58/1.30 (assume @p690 (forall @t63 (=> @t652 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t46 @t381) @t46)))) % 0.58/1.30 (assume @p691 (forall @t509 (=> @t807 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t508 @t229) (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t775))))) % 0.58/1.30 (assume @p692 (forall @t252 (=> @t652 (= @t801 (tptp.c_Rings_Oinverse__class_Odivide @t11 @t466 @t99))))) % 0.58/1.30 (assume @p693 (forall @t104 (=> @t743 @t803))) % 0.58/1.30 (assume @p694 (forall (@list @t481 @t292 @t229 @t37 @t11) (=> @t743 (= (tptp.hAPP (tptp.hAPP @t100 @t775) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t292 @t481)) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t293 (tptp.hAPP @t322 @t481)))))) % 0.58/1.30 (assume @p695 (forall @t252 (=> @t743 @t800))) % 0.58/1.30 (assume @p696 (forall @t252 (=> @t743 @t802))) % 0.58/1.30 (assume @p697 (forall @t252 (=> @t743 (= (tptp.c_Rings_Oinverse__class_Oinverse @t11 @t797) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t99 @t46))))) % 0.58/1.30 (assume @p698 (forall @t252 (=> @t75 @t808))) % 0.58/1.30 (assume @p699 (forall @t252 (=> @t652 @t808))) % 0.58/1.30 (assume @p700 (forall @t63 (=> @t75 @t809))) % 0.58/1.30 (assume @p701 (forall @t63 (=> @t652 @t809))) % 0.58/1.30 (assume @p702 (forall @t124 (=> @t737 (=> @t605 (=> @t673 @t810))))) % 0.58/1.30 (assume @p703 (forall @t120 (=> @t737 (=> @t674 (=> @t676 @t810))))) % 0.58/1.30 (assume @p704 (forall @t792 (=> @t737 (=> @t686 (= @t812 @t811))))) % 0.58/1.30 (assume @p705 (forall @t216 (=> @t737 (=> @t686 (= @t814 @t813))))) % 0.58/1.30 (assume @p706 (forall @t817 (=> @t737 (=> @t777 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t816 @t37) (tptp.c_Orderings_Oord__class_Oless @t11 @t292 @t775)))))) % 0.58/1.30 (assume @p707 (forall @t818 (=> @t737 (=> @t777 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t37 @t816) (tptp.c_Orderings_Oord__class_Oless @t11 @t775 @t292)))))) % 0.58/1.30 (assume @p708 (forall @t792 (=> @t737 (=> @t689 (= @t812 @t813))))) % 0.58/1.30 (assume @p709 (forall @t216 (=> @t737 (=> @t689 (= @t814 @t811))))) % 0.58/1.30 (assume @p710 (forall @t796 (=> @t739 (= @t812 (and (=> @t689 @t813) (=> @t820 (and (=> @t686 @t811) (=> @t819 @t696)))))))) % 0.58/1.30 (assume @p711 (forall @t139 (=> @t739 (= @t814 (and (=> @t689 @t811) (=> @t820 (and (=> @t686 @t813) (=> @t819 @t693)))))))) % 0.58/1.30 (assume @p712 (forall @t817 (=> @t743 (=> @t823 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t292 @t775) @t822))))) % 0.58/1.30 (assume @p713 (forall @t827 (=> @t75 (=> @t826 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t37 @t825) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t824 @t229) @t292)))))) % 0.58/1.30 (assume @p714 (forall @t818 (=> @t743 (=> @t823 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t775 @t292) @t822))))) % 0.58/1.30 (assume @p715 (forall @t827 (=> @t75 (=> @t826 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t828 @t229) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t821 @t292)))))) % 0.58/1.30 (assume @p716 (forall @t832 (=> @t75 (=> @t823 (=> @t826 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t775 @t831) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t293 @t830) @t829))))))) % 0.58/1.30 (assume @p717 (forall @t827 (=> @t75 (=> @t826 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t37 @t825) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t824 @t229) @t292)))))) % 0.58/1.30 (assume @p718 (forall @t827 (=> @t75 (=> @t826 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t828 @t229) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t37 @t816) @t292)))))) % 0.58/1.30 (assume @p719 (forall @t832 (=> @t75 (=> @t823 (=> @t826 (= (tptp.c_Groups_Ominus__class_Ominus @t11 @t775 @t831) (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t293 @t830) @t829))))))) % 0.58/1.30 (assume @p720 (forall @t252 (=> @t737 (=> @t605 (tptp.c_Orderings_Oord__class_Oless @t11 @t833 @t99))))) % 0.58/1.30 (assume @p721 (forall @t252 (=> @t737 (=> @t605 (tptp.c_Orderings_Oord__class_Oless @t11 @t46 @t833))))) % 0.58/1.30 (assume @p722 (forall (@list @t19 @t223 @t115 @t99 @t46 @t11) (=> (tptp.class_RealVector_Oreal__field @t11) (= (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t102 (tptp.hAPP @t669 @t223)) @t19) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t101 (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t99 @t223) @t19)) (tptp.hAPP (tptp.hAPP @t100 (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t46 @t115) @t19)) @t223)))))) % 0.58/1.30 (assume @p723 (forall @t63 (=> @t652 (=> @t189 @t809)))) % 0.58/1.30 (assume @p724 (forall (@list @t19 @t99 @t46 @t11) (=> @t807 (=> @t189 (=> @t271 (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t721 @t19) (tptp.c_Groups_Ouminus__class_Ouminus @t11 (tptp.hAPP (tptp.hAPP @t100 (tptp.hAPP @t719 (tptp.c_Rings_Oinverse__class_Odivide @t11 @t555 @t19))) @t648)))))))) % 0.58/1.30 (assume @p725 (forall (@list @t37 @t46 @t229 @t11) (=> @t75 (=> @t770 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t767 @t229) (tptp.c_Groups_Ominus__class_Ominus @t17 @t835 (tptp.c_Polynomial_Osmult @t11 (tptp.c_Rings_Oinverse__class_Odivide @t11 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t835) @t768) @t769) @t229))))))) % 0.58/1.30 (assume @p726 (forall @t64 (=> @t647 (= @t836 (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t88))))) % 0.58/1.30 (assume @p727 (forall @t44 (=> @t647 (= (tptp.c_Polynomial_Opos__poly @t11 @t132) (or @t836 (and @t22 @t696)))))) % 0.58/1.30 (assume @p728 (forall @t837 (=> @t75 (=> @t189 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t37 @t765) @t834))))) % 0.58/1.30 (assume @p729 (forall @t509 (=> @t75 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t599 @t768) (= @t834 @t37))))) % 0.58/1.30 (assume @p730 (forall @t837 (=> @t75 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t750 @t229) (tptp.c_Polynomial_Osmult @t11 @t46 @t834))))) % 0.58/1.30 (assume @p731 (forall @t509 (=> @t75 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t37 @t552) @t834)))) % 0.58/1.30 (assume @p732 (forall @t509 (=> @t75 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t551 @t229) (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t834))))) % 0.58/1.30 (assume @p733 (forall @t838 (=> @t75 (=> @t751 (= @t834 @t140))))) % 0.58/1.30 (assume @p734 (forall @t174 (=> @t647 (not (tptp.c_Polynomial_Opos__poly @t11 @t18))))) % 0.58/1.30 (assume @p735 (forall @t840 (=> @t75 @t839))) % 0.58/1.30 (assume @p736 (forall @t114 (=> @t647 (=> @t842 (=> @t841 (tptp.c_Polynomial_Opos__poly @t11 @t128)))))) % 0.58/1.30 (assume @p737 (forall @t114 (=> @t647 (=> @t842 (=> @t841 (tptp.c_Polynomial_Opos__poly @t11 @t113)))))) % 0.58/1.30 (assume @p738 (forall @t55 (=> @t647 (= (tptp.c_Orderings_Oord__class_Oless @t17 @t13 @t53) (tptp.c_Polynomial_Opos__poly @t11 (tptp.c_Groups_Ominus__class_Ominus @t17 @t53 @t13)))))) % 0.58/1.30 (assume @p739 (forall @t840 (=> @t75 (=> @t770 (or (= @t834 @t18) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t11 @t834) @t768)))))) % 0.58/1.30 (assume @p740 (forall @t41 (=> @t647 (or @t85 @t842 (tptp.c_Polynomial_Opos__poly @t11 @t499))))) % 0.58/1.30 (assume @p741 (forall @t840 (=> @t75 (and (=> @t532 (= @t530 @t600)) @t839)))) % 0.58/1.30 (assume @p742 (forall @t274 (=> @t843 (= @t205 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t51 @t32) @t12))))) % 0.58/1.30 (assume @p743 (forall @t252 (=> @t843 (=> @t234 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t99 @t46) @t12))))) % 0.58/1.30 (assume @p744 (forall @t846 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t845) @t30) @t844))) % 0.58/1.30 (assume @p745 (forall (@list @t53 @t34 @t13) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t13 @t34) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t53 @t34)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t34 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t13 @t53))))) % 0.58/1.30 (assume @p746 (forall @t314 (and (=> @t849 (= @t844 @t65)) (=> (not @t849) (= @t844 @t848))))) % 0.58/1.30 (assume @p747 (forall @t319 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t45 @t388) @t65))) % 0.58/1.30 (assume @p748 (forall @t850 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t315 @t288) @t65) (exists @t539 (= @t315 (tptp.hAPP (tptp.hAPP @t259 @t288) @t536)))))) % 0.58/1.30 (assume @p749 (forall @t850 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t315 @t288) @t475) (exists @t539 (= @t315 (tptp.hAPP (tptp.hAPP @t464 @t288) @t536)))))) % 0.58/1.30 (assume @p750 (forall @t846 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t845 @t30) @t847))) % 0.58/1.30 (assume @p751 (forall @t852 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t299 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t634)) @t475)) @t851))) % 0.58/1.30 (assume @p752 (forall @t852 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t299) @t634) @t475)) @t851))) % 0.58/1.30 (assume @p753 (forall @t854 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t461 @t853) @t229) @t45) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t463 @t45)))) % 0.58/1.30 (assume @p754 (forall @t409 (= @t860 @t857))) % 0.58/1.30 (assume @p755 (forall @t409 (= @t857 @t860))) % 0.58/1.30 (assume @p756 (forall @t340 (= (tptp.hAPP (tptp.hAPP @t259 @t847) @t299) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t359 @t339)))) % 0.58/1.30 (assume @p757 (forall @t364 (= (tptp.hAPP @t361 @t847) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t363 @t362)))) % 0.58/1.30 (assume @p758 (forall @t314 (= @t844 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t848 @t30)))) % 0.58/1.30 (assume @p759 (forall @t364 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t299 @t861) @t596))) % 0.58/1.30 (assume @p760 (forall (@list @t30 @t45 @t862) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t862 @t45) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t862 @t30) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t862 @t861))))) % 0.58/1.30 (assume @p761 (forall @t863 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t46 @t46) @t475))) % 0.58/1.30 (assume @p762 (forall @t864 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t475 @t99) @t475))) % 0.58/1.30 (assume @p763 (forall (@list @t45 @t37) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t853) @t45) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t37) @t45)))) % 0.58/1.30 (assume @p764 (forall @t401 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t867 @t866) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t865)))) % 0.58/1.30 (assume @p765 (forall @t401 (= @t869 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t868)))) % 0.58/1.30 (assume @p766 (forall (@list @t45 @t229 @t37) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t37 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t229 @t45)) @t45) @t870))) % 0.58/1.30 (assume @p767 (forall @t854 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t853 @t229) @t45) @t870))) % 0.58/1.30 (assume @p768 (forall @t872 (=> @t871 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t865 @t99)))) % 0.58/1.30 (assume @p769 (forall @t568 (=> @t601 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t847 @t30)))) % 0.58/1.30 (assume @p770 (forall @t872 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t99 @t475) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t99 @t865)))) % 0.58/1.30 (assume @p771 (forall @t314 @t873)) % 0.58/1.30 (assume @p772 (forall @t314 (and @t873 @t874))) % 0.58/1.30 (assume @p773 (forall @t314 @t874)) % 0.58/1.30 (assume @p774 (forall @t401 (and (=> @t875 (= @t868 @t475)) (=> @t876 (= @t868 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t99 @t865)))))) % 0.58/1.30 (assume @p775 (forall @t401 (and (=> @t875 (= @t869 @t475)) (=> @t876 (= @t869 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t865 @t99)))))) % 0.58/1.30 (assume @p776 (forall (@list @t343 @t34 @t193) (= (tptp.hBOOL (tptp.hAPP @t193 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t34 @t343))) (and (=> @t344 (tptp.hBOOL @t641)) (=> (not @t344) (forall @t878 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t700 @t343) (=> (= @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t347 @t877) @t700)) (tptp.hBOOL (tptp.hAPP @t193 @t700)))))))))) % 0.58/1.30 (assume @p777 (forall (@list @t77 @t99 @t140 @t115) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t115) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t140 @t99) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t879 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t77 @t115)) @t140) @t880))))) % 0.58/1.30 (assume @p778 (forall (@list @t45 @t299) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t389 @t299) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t363) @t299) @t389)))) % 0.58/1.30 (assume @p779 (forall @t252 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t881 @t99) @t881)))) % 0.58/1.30 (assume @p780 (forall @t63 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t12 @t46) @t12)))) % 0.58/1.30 (assume @p781 (forall @t63 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t46 @t12) @t46)))) % 0.58/1.30 (assume @p782 (forall @t63 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t46 @t46) @t12)))) % 0.58/1.30 (assume @p783 (forall @t887 (=> @t843 (=> @t886 (=> @t884 (= @t882 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.hAPP @t329 @t370) @t115))))))) % 0.58/1.30 (assume @p784 (forall @t302 (=> @t843 (= @t889 @t882)))) % 0.58/1.30 (assume @p785 (forall @t302 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t286 @t145) (tptp.hAPP (tptp.hAPP @t100 @t881) @t115))))) % 0.58/1.30 (assume @p786 (forall @t609 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t671 @t670) (tptp.hAPP @t669 @t881))))) % 0.58/1.30 (assume @p787 (forall @t124 (=> @t843 (= @t882 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.hAPP @t888 @t883) @t115))))) % 0.58/1.30 (assume @p788 (forall @t124 (=> @t843 (= @t882 @t889)))) % 0.58/1.30 (assume @p789 (forall @t124 (=> @t843 (= @t882 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.hAPP @t101 @t883) @t115))))) % 0.58/1.30 (assume @p790 (forall @t252 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t122 @t99) @t881)))) % 0.58/1.30 (assume @p791 (forall @t688 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t118 @t99) @t881)))) % 0.58/1.30 (assume @p792 (forall @t124 (=> @t843 (= @t891 @t890)))) % 0.58/1.30 (assume @p793 (forall @t124 (=> @t843 (= @t891 @t892)))) % 0.58/1.30 (assume @p794 (forall @t124 (=> @t843 (= @t891 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t885 @t883) @t115))))) % 0.58/1.30 (assume @p795 (forall @t124 (=> @t843 (= @t890 @t891)))) % 0.58/1.30 (assume @p796 (forall @t302 (=> @t843 (= @t892 @t891)))) % 0.58/1.30 (assume @p797 (forall @t887 (=> @t843 (=> @t886 (=> @t884 (= @t891 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Oplus__class_Oplus @t11 @t328 @t370) @t115))))))) % 0.58/1.30 (assume @p798 (forall @t887 (=> @t894 (=> @t886 (=> @t884 (= @t893 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t328 @t370) @t115))))))) % 0.58/1.30 (assume @p799 (forall @t124 (=> @t894 (= @t893 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t885 @t883) @t115))))) % 0.58/1.30 (assume @p800 (forall @t124 (=> @t894 (= @t893 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t885 @t99) @t115))))) % 0.58/1.30 (assume @p801 (forall @t124 (=> @t894 (= @t893 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t46 @t883) @t115))))) % 0.58/1.30 (assume @p802 (forall @t252 (=> @t894 (= @t895 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t881) @t99))))) % 0.58/1.30 (assume @p803 (forall (@list @t328 @t99 @t46 @t11) (=> @t894 (=> (= @t881 (tptp.c_Divides_Odiv__class_Omod @t11 @t328 @t99)) (= @t895 (tptp.c_Divides_Odiv__class_Omod @t11 (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t328) @t99)))))) % 0.58/1.30 (assume @p804 (forall @t899 (=> @t843 (=> @t898 (=> @t897 @t896))))) % 0.58/1.30 (assume @p805 (forall @t899 (=> @t843 (=> @t896 (=> @t897 @t898))))) % 0.58/1.30 (assume @p806 (forall @t787 (=> @t843 (=> @t900 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t881 @t115) @t885))))) % 0.58/1.30 (assume @p807 (forall (@list @t315 @t34 @t343 @t11) (=> @t843 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t343 @t34) (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t343 (tptp.c_Divides_Odiv__class_Omod @t11 @t315 @t34)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t343 @t315)))))) % 0.58/1.30 (assume @p808 (forall @t688 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t251 @t99) @t12)))) % 0.58/1.30 (assume @p809 (forall @t252 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t102 @t99) @t12)))) % 0.58/1.30 (assume @p810 (forall @t63 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t46 @t381) @t12)))) % 0.58/1.30 (assume @p811 (forall @t302 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t901 @t99) @t881)))) % 0.58/1.30 (assume @p812 (forall @t124 (=> @t843 (= (tptp.c_Divides_Odiv__class_Omod @t11 @t902 @t99) @t881)))) % 0.58/1.30 (assume @p813 (forall @t904 (=> @t702 (=> @t741 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t903 @t45) @t299) (tptp.hAPP @t903 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t45 @t388))))))) % 0.58/1.30 (assume @p814 (forall @t39 (=> @t647 (and (=> @t533 (= @t905 @t18)) (=> (not @t533) (and (=> @t906 (= @t905 @t421)) (=> (not @t906) (= @t905 (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t421))))))))) % 0.58/1.30 (assume @p815 (forall @t409 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t46 @t99) @t115) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t46 @t115) @t907) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t46 @t115) @t858) @t115))))) % 0.58/1.30 (assume @p816 (forall @t401 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t865 @t99) @t475))) % 0.58/1.30 (assume @p817 (forall @t252 (=> @t843 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t881 @t99) @t12)))) % 0.58/1.30 (assume @p818 (forall @t863 (and (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t46 @t475) @t475) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t46 @t475) @t46)))) % 0.58/1.30 (assume @p819 (forall @t401 (= @t46 @t910))) % 0.58/1.30 (assume @p820 (forall @t409 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t856 @t115) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t855 @t907) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t859 @t115))))) % 0.58/1.30 (assume @p821 (forall (@list @t299 @t46 @t99) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t910 @t299) @t911))) % 0.58/1.30 (assume @p822 (forall (@list @t299 @t99 @t46) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t464 @t908) @t99) @t865) @t299) @t911))) % 0.58/1.30 (assume @p823 (forall @t314 (= @t861 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t45 (tptp.hAPP (tptp.hAPP @t464 @t912) @t30))))) % 0.58/1.30 (assume @p824 (forall @t568 (= @t913 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t45 @t861)))) % 0.58/1.30 (assume @p825 (forall @t401 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t46 @t475) (=> @t871 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t908 @t475))))) % 0.58/1.30 (assume @p826 (forall @t915 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t51 @t475) (= @t914 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t475 @t32))))) % 0.58/1.30 (assume @p827 (forall @t915 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t475 @t51) (= @t914 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t32 @t475))))) % 0.58/1.30 (assume @p828 (forall @t609 (=> @t843 @t918))) % 0.58/1.30 (assume @p829 (forall @t609 (=> @t843 (=> @t786 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t286 @t145) @t916))))) % 0.58/1.30 (assume @p830 (forall @t688 (=> @t843 (=> @t271 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t251 @t99) @t46))))) % 0.58/1.30 (assume @p831 (forall @t688 (=> @t843 (=> @t271 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t102 @t99) @t46))))) % 0.58/1.30 (assume @p832 (forall @t609 (=> @t843 (and (=> @t785 (= @t917 @t12)) @t918)))) % 0.58/1.30 (assume @p833 (forall @t568 (=> @t742 (= @t913 @t45)))) % 0.58/1.30 (assume @p834 (forall @t63 (=> @t843 (=> @t189 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t46 @t46) @t381))))) % 0.58/1.30 (assume @p835 (forall @t63 (=> @t843 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t46 @t381) @t46)))) % 0.58/1.30 (assume @p836 (forall @t401 (= @t920 @t919))) % 0.58/1.30 (assume @p837 (forall @t401 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t867 @t866) @t908))) % 0.58/1.30 (assume @p838 (forall @t63 (=> @t843 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t12 @t46) @t12)))) % 0.58/1.30 (assume @p839 (forall @t63 (=> @t843 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t46 @t12) @t12)))) % 0.58/1.30 (assume @p840 (forall @t864 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t475 @t99) @t475))) % 0.58/1.30 (assume @p841 (forall @t139 (=> @t843 (=> @t205 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t32 @t133) (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t921 (tptp.c_Divides_Odiv__class_Odiv @t11 @t133 @t32)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t51 @t133))))))) % 0.58/1.30 (assume @p842 (forall @t863 (=> (not (= @t46 @t475)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t46 @t46) @t478)))) % 0.58/1.30 (assume @p843 (forall (@list @t30 @t37 @t229 @t11) (=> @t843 (=> @t923 (= (tptp.hAPP (tptp.hAPP @t152 @t922) @t30) (tptp.c_Divides_Odiv__class_Odiv @t11 @t177 @t231)))))) % 0.58/1.30 (assume @p844 (forall @t840 (=> @t894 (=> @t923 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t37 @t587) @t924))))) % 0.58/1.30 (assume @p845 (forall @t840 (=> @t894 (=> @t923 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t508 @t229) @t924))))) % 0.58/1.30 (assume @p846 (forall @t827 (=> @t843 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t292 @t37) (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t292 @t229) (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t325 @t292) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Divides_Odiv__class_Odiv @t11 @t37 @t292) (tptp.c_Divides_Odiv__class_Odiv @t11 @t229 @t292)))))))) % 0.58/1.30 (assume @p847 (forall (@list @t481 @t292 @t37 @t229 @t11) (=> @t843 (=> @t923 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t292 @t481) (= (tptp.hAPP (tptp.hAPP @t100 @t922) (tptp.c_Divides_Odiv__class_Odiv @t11 @t481 @t292)) (tptp.c_Divides_Odiv__class_Odiv @t11 (tptp.hAPP @t142 @t481) @t829))))))) % 0.58/1.30 (assume @p848 (forall @t124 (=> @t843 (=> @t234 (= (tptp.hAPP @t926 @t115) (tptp.c_Divides_Odiv__class_Odiv @t11 @t145 @t46)))))) % 0.58/1.30 (assume @p849 (forall @t252 (=> @t843 (=> @t234 (= (tptp.hAPP @t926 @t46) @t99))))) % 0.58/1.30 (assume @p850 (forall @t787 (=> @t843 (=> @t900 (= (tptp.hAPP @t101 (tptp.c_Divides_Odiv__class_Odiv @t11 @t99 @t115)) (tptp.c_Divides_Odiv__class_Odiv @t11 @t102 @t115)))))) % 0.58/1.30 (assume @p851 (forall @t252 (=> @t843 (=> @t234 (= (tptp.hAPP @t101 @t925) @t99))))) % 0.58/1.30 (assume @p852 (forall @t174 (=> (tptp.class_RealVector_Oreal__normed__algebra__1 @t11) (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t381) @t381)))) % 0.58/1.30 (assume @p853 (forall @t39 (=> @t928 (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t508) (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t927))))) % 0.58/1.30 (assume @p854 (forall @t63 (=> @t647 (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t929) @t929)))) % 0.58/1.30 (assume @p855 (forall @t509 (=> (tptp.class_RealVector_Oreal__normed__div__algebra @t11) (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t294) (tptp.hAPP (tptp.hAPP @t100 @t927) (tptp.c_Groups_Osgn__class_Osgn @t11 @t229)))))) % 0.58/1.30 (assume @p856 (forall @t252 (=> @t647 (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t102) (tptp.hAPP (tptp.hAPP @t100 @t929) (tptp.c_Groups_Osgn__class_Osgn @t11 @t99)))))) % 0.58/1.30 (assume @p857 (forall @t174 (=> @t928 @t930))) % 0.58/1.30 (assume @p858 (forall @t16 (=> @t928 (= (= (tptp.c_Groups_Osgn__class_Osgn @t11 @t13) @t12) @t14)))) % 0.58/1.30 (assume @p859 (forall @t174 (=> @t931 @t930))) % 0.58/1.30 (assume @p860 (forall @t170 (=> @t647 (= (= @t932 @t12) @t33)))) % 0.58/1.30 (assume @p861 (forall @t170 (=> @t647 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t932) @t696)))) % 0.58/1.30 (assume @p862 (forall @t170 (=> @t647 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t932 @t12) @t693)))) % 0.58/1.30 (assume @p863 (forall (@list @t299 @t37) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t475 @t37) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t478 @t299) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t37 @t299) @t37))))) % 0.58/1.30 (assume @p864 (forall @t935 (=> @t934 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t46 @t933) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t908 @t115))))) % 0.58/1.30 (assume @p865 (forall @t120 (=> @t843 (=> @t271 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t902 @t99) @t936))))) % 0.58/1.30 (assume @p866 (forall @t120 (=> @t843 (=> @t271 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t901 @t99) @t936))))) % 0.58/1.30 (assume @p867 (forall @t688 (=> @t843 (=> @t271 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t122 @t99) @t937))))) % 0.58/1.30 (assume @p868 (forall @t688 (=> @t843 (=> @t271 (= (tptp.c_Divides_Odiv__class_Odiv @t11 @t118 @t99) @t937))))) % 0.58/1.30 (assume @p869 (forall (@list @t288 @t51 @t133 @t32 @t11) (=> @t843 (=> @t73 (=> @t791 (=> @t205 (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t133 @t288) (= (= @t921 (tptp.c_Divides_Odiv__class_Odiv @t11 @t288 @t133)) (= @t209 @t289))))))))) % 0.58/1.30 (assume @p870 (forall @t139 (=> @t843 (=> @t73 (=> @t205 (= (= @t921 @t133) (= @t51 @t215))))))) % 0.58/1.30 (assume @p871 (forall @t124 (=> @t843 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t939 @t115) @t121)))) % 0.58/1.30 (assume @p872 (forall @t120 (=> @t843 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t940 @t115) @t121)))) % 0.58/1.30 (assume @p873 (forall @t252 (=> @t843 (= @t939 @t46)))) % 0.58/1.30 (assume @p874 (forall @t688 (=> @t843 (= @t940 @t46)))) % 0.58/1.30 (assume @p875 (forall @t252 (=> @t843 (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t881 @t938) @t46)))) % 0.58/1.30 (assume @p876 (forall @t170 (=> @t647 (= (= @t932 @t381) @t696)))) % 0.58/1.30 (assume @p877 (forall @t63 (=> @t647 (=> @t667 (= @t929 @t381))))) % 0.58/1.30 (assume @p878 (forall @t935 (=> @t934 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t46 @t933) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t909 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t908 @t115)) @t865))))) % 0.58/1.30 (assume @p879 (forall @t872 (=> @t943 (and (=> @t875 (= @t920 @t941)) (=> @t876 (= @t920 @t942)))))) % 0.58/1.30 (assume @p880 (forall @t872 (=> @t943 (and (=> @t875 (= @t919 @t941)) (=> @t876 (= @t919 @t942)))))) % 0.58/1.30 (assume @p881 (forall @t170 (=> @t647 (= (= @t932 @t521) @t693)))) % 0.58/1.30 (assume @p882 (forall @t63 (=> @t647 (=> @t681 (= @t929 @t521))))) % 0.58/1.30 (assume @p883 (forall @t39 (=> @t931 (and (=> @t944 (= @t927 @t12)) (=> (not @t944) (and (=> @t778 (= @t927 @t381)) (=> (not @t778) (= @t927 @t521)))))))) % 0.58/1.30 (assume @p884 (forall @t948 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t475) (= @t947 (forall @t878 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t700) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t700 @t475) @t946) @t945)))))) % 0.58/1.30 (assume @p885 (forall @t948 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t475 @t343) (= @t947 (forall @t878 (=> (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t475 @t700) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t700 @t343) @t946) @t945)))))) % 0.58/1.30 (assume @p886 (forall @t409 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t46 @t99) @t115) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t46 @t115) @t950) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t46 @t115) @t949) @t115))))) % 0.58/1.30 (assume @p887 (forall @t404 (=> @t952 (=> @t951 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t475 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t37 @t229)))))) % 0.58/1.30 (assume @p888 (forall @t904 (=> @t953 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t45 @t299) @t45)))) % 0.58/1.30 (assume @p889 (forall @t314 (=> @t604 (= @t954 @t65)))) % 0.58/1.30 (assume @p890 (forall @t404 (=> @t952 (=> @t951 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t475 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t37 @t229)))))) % 0.58/1.30 (assume @p891 (forall @t409 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t46 @t880) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t955 @t115)))) % 0.58/1.30 (assume @p892 (forall @t319 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t45 @t388) @t45))) % 0.58/1.30 (assume @p893 (forall @t837 (=> @t75 (= (tptp.c_Divides_Odiv__class_Odiv @t17 @t750 @t229) (tptp.c_Polynomial_Osmult @t11 @t46 @t956))))) % 0.58/1.30 (assume @p894 (forall @t295 (=> @t75 (= (tptp.c_Divides_Odiv__class_Odiv @t17 @t37 @t764) (tptp.c_Divides_Odiv__class_Odiv @t17 @t956 @t292))))) % 0.58/1.30 (assume @p895 (forall @t509 (=> @t75 (= (tptp.c_Divides_Odiv__class_Odiv @t17 @t37 @t552) @t957)))) % 0.58/1.30 (assume @p896 (forall @t509 (=> @t75 (= (tptp.c_Divides_Odiv__class_Odiv @t17 @t551 @t229) @t957)))) % 0.58/1.30 (assume @p897 (forall @t364 (and (=> @t960 (= @t958 @t65)) (=> (not @t960) @t959)))) % 0.58/1.30 (assume @p898 (forall @t838 (=> @t75 (=> @t751 (= @t956 @t77))))) % 0.58/1.30 (assume @p899 (forall @t509 (=> @t75 (tptp.c_Polynomial_Opdivmod__rel @t11 @t37 @t229 @t956 @t834)))) % 0.58/1.30 (assume @p900 (forall @t252 (=> @t966 (=> (or (and @t965 @t964) (and @t963 @t962)) @t961)))) % 0.58/1.30 (assume @p901 (forall @t252 (=> @t725 (=> (or (and @t965 @t962) (and @t963 @t964)) @t967)))) % 0.58/1.30 (assume @p902 (forall @t255 (=> @t972 (=> @t971 (=> @t970 (=> @t962 @t969)))))) % 0.58/1.30 (assume @p903 (forall @t255 (=> @t972 (=> @t971 (=> @t970 (=> @t965 @t969)))))) % 0.58/1.30 (assume @p904 (forall @t120 (=> @t725 (=> @t975 (=> @t974 @t973))))) % 0.58/1.30 (assume @p905 (forall @t120 (=> @t725 (=> @t975 (=> @t974 @t976))))) % 0.58/1.30 (assume @p906 (forall @t124 (=> (tptp.class_Rings_Oordered__comm__semiring @t11) @t977))) % 0.58/1.30 (assume @p907 (forall @t124 (=> @t972 @t977))) % 0.58/1.30 (assume @p908 (forall @t124 (=> @t972 (=> @t971 (=> @t968 @t976))))) % 0.58/1.30 (assume @p909 (forall @t252 (=> @t725 (=> @t963 (=> @t964 @t967))))) % 0.58/1.30 (assume @p910 (forall @t252 (=> @t966 (=> @t963 (=> @t962 @t961))))) % 0.58/1.30 (assume @p911 (forall @t252 (=> @t966 (=> @t965 (=> @t964 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t251 @t12)))))) % 0.58/1.30 (assume @p912 (forall @t252 (=> @t966 (=> @t965 (=> @t964 @t961))))) % 0.58/1.30 (assume @p913 (forall @t252 (=> @t966 (=> @t965 (=> @t962 @t967))))) % 0.58/1.30 (assume @p914 (forall @t274 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t273 @t12) @t982)))) % 0.58/1.30 (assume @p915 (forall @t274 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t273) @t983)))) % 0.58/1.30 (assume @p916 (forall @t63 (=> @t692 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t691)))) % 0.58/1.30 (assume @p917 (forall @t170 (=> @t169 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t168) @t981)))) % 0.58/1.30 (assume @p918 (forall @t170 (=> @t169 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t168 @t12) @t979)))) % 0.58/1.30 (assume @p919 (forall @t252 (=> @t699 (=> @t965 (=> @t962 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t122)))))) % 0.58/1.30 (assume @p920 (forall @t55 (=> @t699 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t13) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t53) (= @t529 @t218)))))) % 0.58/1.30 (assume @p921 (forall @t124 (=> @t699 (=> @t965 (=> @t985 @t984))))) % 0.58/1.30 (assume @p922 (forall @t787 (=> @t699 (=> @t968 (=> @t975 @t984))))) % 0.58/1.30 (assume @p923 (forall @t252 (=> @t699 (=> @t963 (=> @t964 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t122 @t12)))))) % 0.58/1.30 (assume @p924 (forall @t274 (=> @t618 (= @t986 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t558 @t12))))) % 0.58/1.30 (assume @p925 (forall @t174 (=> @t659 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t381)))) % 0.58/1.30 (assume @p926 (forall @t174 (=> @t659 (not (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t381 @t12))))) % 0.58/1.30 (assume @p927 (forall @t170 (=> @t169 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t505 @t32) @t981)))) % 0.58/1.30 (assume @p928 (forall @t170 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t505 @t12) @t981)))) % 0.58/1.30 (assume @p929 (forall @t170 (=> @t169 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t32 @t505) @t979)))) % 0.58/1.30 (assume @p930 (forall @t170 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t505) @t979)))) % 0.58/1.30 (assume @p931 (forall @t104 (=> @t659 (=> @t971 (=> @t965 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t296 @t305)))))) % 0.58/1.30 (assume @p932 (forall @t190 (=> @t659 (=> @t965 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t296))))) % 0.58/1.30 (assume @p933 (forall @t274 (=> @t739 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t774) @t983)))) % 0.58/1.30 (assume @p934 (forall @t274 (=> @t739 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t774 @t12) @t982)))) % 0.58/1.30 (assume @p935 (forall @t124 (=> @t739 (=> @t971 (=> @t968 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t783 @t782)))))) % 0.58/1.30 (assume @p936 (forall @t124 (=> @t739 (=> @t971 (=> @t974 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t782 @t783)))))) % 0.58/1.30 (assume @p937 (forall @t190 (=> @t659 (=> @t987 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t381 @t296))))) % 0.58/1.30 (assume @p938 (forall @t170 (=> @t739 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t646) @t981)))) % 0.58/1.30 (assume @p939 (forall @t170 (=> @t739 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t646 @t12) @t979)))) % 0.58/1.30 (assume @p940 (forall @t314 (=> @t953 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t475 @t30) (=> @t476 (=> @t742 @t49)))))) % 0.58/1.30 (assume @p941 (forall @t291 (=> @t618 (=> @t559 (= @t986 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t133 @t288)))))) % 0.58/1.30 (assume @p942 (forall @t665 (=> @t659 (=> @t988 (=> @t987 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t296 @t663)))))) % 0.58/1.30 (assume @p943 (forall @t484 (=> @t990 (=> @t989 (= @t292 @t481))))) % 0.58/1.30 (assume @p944 (forall @t554 (=> @t991 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t374 @t299) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t375 @t299))))) % 0.58/1.30 (assume @p945 (forall @t484 (or @t990 @t989))) % 0.58/1.30 (assume @p946 (forall (@list @t481) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t481 @t481))) % 0.58/1.30 (assume @p947 (forall @t554 (=> @t991 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t299 @t375) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t299 @t374))))) % 0.58/1.30 (assume @p948 (forall @t274 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t32 @t504) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t51 @t505))))) % 0.58/1.30 (assume @p949 (forall @t274 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t505 @t51) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t504 @t32))))) % 0.58/1.30 (assume @p950 (forall @t278 (=> @t618 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t504 @t505) @t986)))) % 0.58/1.30 (assume @p951 (forall @t252 (=> @t618 (=> @t971 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t513 @t466))))) % 0.58/1.30 (assume @p952 (forall @t212 (=> @t608 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t137 @t617) @t986)))) % 0.58/1.30 (assume @p953 (forall @t216 (=> @t608 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t135 @t616) @t986)))) % 0.58/1.30 (assume @p954 (forall @t124 (=> @t993 (=> @t971 @t992)))) % 0.58/1.30 (assume @p955 (forall @t124 (=> @t993 (=> @t971 @t994)))) % 0.58/1.30 (assume @p956 (forall @t255 (=> @t993 (=> @t971 (=> @t970 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t121 @t253)))))) % 0.58/1.30 (assume @p957 (forall @t302 (=> @t608 (=> @t992 @t971)))) % 0.58/1.30 (assume @p958 (forall @t609 (=> @t608 (=> @t994 @t971)))) % 0.58/1.30 (assume @p959 (forall @t665 (=> @t659 (=> @t988 (=> @t965 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t46 @t381) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t663 @t296))))))) % 0.58/1.30 (assume @p960 (forall @t660 (=> @t659 (=> @t658 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t657 @t656) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t13 @t53)))))) % 0.58/1.30 (assume @p961 (forall @t268 (=> @t659 (=> @t661 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t264 @t296) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t45 @t30)))))) % 0.58/1.30 (assume @p962 (forall (@list @t279 @t24) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t24 @t279) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t24 @t279) (not (= @t24 @t279)))))) % 0.58/1.30 (assume @p963 (forall (@list @t292 @t995 @t481 @t996) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t996 @t481) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t995 @t292) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t996 @t995) @t561))))) % 0.58/1.30 (assume @p964 (forall @t255 (=> @t614 (=> @t971 @t613)))) % 0.58/1.30 (assume @p965 (forall @t255 (=> @t614 (=> @t605 (=> @t970 @t611))))) % 0.58/1.30 (assume @p966 (forall @t568 (=> @t601 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t266 @t30) @t45)))) % 0.58/1.30 (assume @p967 (forall @t568 (=> @t601 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t338 @t30) @t45)))) % 0.58/1.30 (assume @p968 (forall @t364 (=> @t707 @t959))) % 0.58/1.30 (assume @p969 (forall @t568 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t389 @t30) (=> @t702 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t954 @t45))))) % 0.58/1.30 (assume @p970 (forall @t409 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t997 @t99) @t115) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t997 @t950) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t997 @t949) @t115))))) % 0.58/1.30 (assume @p971 (forall @t409 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t46 @t880) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t879 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t955 @t115)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t46 @t99))))) % 0.58/1.30 (assume @p972 (forall @t216 (=> @t222 (=> @t689 (= @t998 @t986))))) % 0.58/1.30 (assume @p973 (forall @t216 (=> @t222 (=> @t686 (= @t998 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t51 @t32)))))) % 0.58/1.30 (assume @p974 (forall @t255 (=> @t678 (=> @t605 (=> @t612 (=> @t683 @t1000)))))) % 0.58/1.30 (assume @p975 (forall @t255 (=> @t678 (=> @t605 (=> @t612 (=> @t965 @t1000)))))) % 0.58/1.30 (assume @p976 (forall @t255 (=> @t678 (=> @t605 (=> @t970 (=> @t965 (=> @t676 @t999))))))) % 0.58/1.30 (assume @p977 (forall @t255 (=> @t678 (=> @t971 (=> @t612 (=> @t667 @t1000)))))) % 0.58/1.30 (assume @p978 (forall @t302 (=> @t1003 @t1002))) % 0.58/1.30 (assume @p979 (forall @t302 (=> @t678 @t1002))) % 0.58/1.30 (assume @p980 (forall @t609 (=> @t1003 @t1004))) % 0.58/1.30 (assume @p981 (forall @t609 (=> @t678 @t1004))) % 0.58/1.30 (assume @p982 (forall @t302 (=> @t678 (=> @t976 @t1005)))) % 0.58/1.30 (assume @p983 (forall @t609 (=> @t678 (=> @t973 @t1005)))) % 0.58/1.30 (assume @p984 (forall @t252 (=> @t699 (=> @t667 (=> @t962 @t697))))) % 0.58/1.30 (assume @p985 (forall @t252 (=> @t699 (=> @t965 @t698)))) % 0.58/1.30 (assume @p986 (forall @t124 (=> @t699 (=> @t667 (=> @t985 @t695))))) % 0.58/1.30 (assume @p987 (forall @t1009 (=> @t1008 (tptp.class_Groups_Ocancel__comm__monoid__add @t1007)))) % 0.58/1.30 (assume @p988 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p989 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p991 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p992 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p993 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p994 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p995 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p996 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p997 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p998 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p999 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1000 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1001 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1002 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1003 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1004 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1005 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1006 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1007 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1008 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1009 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1010 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1011 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1012 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1013 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1014 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1015 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1016 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1017 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1018 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1019 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1020 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1021 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1022 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1023 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1024 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1025 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1026 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1027 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1028 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1029 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1030 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1031 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1032 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1033 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1034 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1035 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1036 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1037 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1038 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1039 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1040 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1041 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 0.58/1.30 (assume @p1042 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1043 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1044 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1045 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1046 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1047 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1048 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1049 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1050 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1051 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1052 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1053 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1054 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1055 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1056 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1057 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1058 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1059 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1060 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1061 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1062 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1063 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1064 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1065 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1066 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1067 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1068 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1069 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1070 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1071 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1072 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1073 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1074 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 0.58/1.30 (assume @p1075 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1076 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1077 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1078 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1079 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1080 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1081 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1082 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1083 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1084 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1085 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1086 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1087 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1088 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1089 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1090 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1091 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1092 @t1010) % 0.58/1.30 (assume @p1093 @t1011) % 0.58/1.30 (assume @p1094 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1095 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1096 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1097 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1098 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1099 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1100 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1101 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1102 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1103 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1104 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1105 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1106 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1107 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1108 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1109 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1110 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1111 @t1012) % 0.58/1.30 (assume @p1112 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1113 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1114 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1115 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (assume @p1116 (forall @t1009 (=> @t1013 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1007)))) % 0.58/1.30 (assume @p1117 (forall @t1009 (=> @t1014 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1007)))) % 0.58/1.30 (assume @p1118 (forall @t1009 (=> @t1014 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1007)))) % 0.58/1.30 (assume @p1119 (forall @t1009 (=> @t1014 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1007)))) % 0.58/1.30 (assume @p1120 (forall @t1009 (=> @t1014 (tptp.class_Rings_Olinordered__semiring__strict @t1007)))) % 0.58/1.30 (assume @p1121 (forall @t1009 (=> @t1014 (tptp.class_Groups_Oordered__ab__semigroup__add @t1007)))) % 0.58/1.30 (assume @p1122 (forall @t1009 (=> @t1014 (tptp.class_Groups_Oordered__comm__monoid__add @t1007)))) % 0.58/1.30 (assume @p1123 (forall @t1009 (=> @t1014 (tptp.class_Groups_Olinordered__ab__group__add @t1007)))) % 0.58/1.30 (assume @p1124 (forall @t1009 (=> @t1008 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1007)))) % 0.58/1.30 (assume @p1125 (forall @t1009 (=> @t1013 (tptp.class_Rings_Oring__1__no__zero__divisors @t1007)))) % 0.58/1.30 (assume @p1126 (forall @t1009 (=> @t1014 (tptp.class_Rings_Oordered__cancel__semiring @t1007)))) % 0.58/1.30 (assume @p1127 (forall @t1009 (=> @t1014 (tptp.class_Rings_Olinordered__ring__strict @t1007)))) % 0.58/1.30 (assume @p1128 (forall @t1009 (=> @t1013 (tptp.class_Rings_Oring__no__zero__divisors @t1007)))) % 0.58/1.30 (assume @p1129 (forall @t1009 (=> @t1014 (tptp.class_Rings_Oordered__comm__semiring @t1007)))) % 0.58/1.30 (assume @p1130 (forall @t1009 (=> @t1014 (tptp.class_Groups_Oordered__ab__group__add @t1007)))) % 0.58/1.30 (assume @p1131 (forall @t1009 (=> @t1008 (tptp.class_Groups_Ocancel__semigroup__add @t1007)))) % 0.58/1.30 (assume @p1132 (forall @t1009 (=> @t1014 (tptp.class_Rings_Olinordered__semiring @t1007)))) % 0.58/1.30 (assume @p1133 (forall @t1009 (=> @t1014 (tptp.class_Rings_Olinordered__semidom @t1007)))) % 0.58/1.30 (assume @p1134 (forall @t1009 (=> @t1015 (tptp.class_Groups_Oab__semigroup__mult @t1007)))) % 0.58/1.30 (assume @p1135 (forall @t1009 (=> @t1016 (tptp.class_Groups_Ocomm__monoid__mult @t1007)))) % 0.58/1.30 (assume @p1136 (forall @t1009 (=> @t1017 (tptp.class_Groups_Oab__semigroup__add @t1007)))) % 0.58/1.30 (assume @p1137 (forall @t1009 (=> @t1014 (tptp.class_Rings_Oordered__semiring @t1007)))) % 0.58/1.30 (assume @p1138 (forall @t1009 (=> @t1013 (tptp.class_Rings_Ono__zero__divisors @t1007)))) % 0.58/1.30 (assume @p1139 (forall @t1009 (=> @t1017 (tptp.class_Groups_Ocomm__monoid__add @t1007)))) % 0.58/1.30 (assume @p1140 (forall @t1009 (=> @t1014 (tptp.class_Rings_Olinordered__ring @t1007)))) % 0.58/1.30 (assume @p1141 (forall @t1009 (=> @t1014 (tptp.class_Rings_Olinordered__idom @t1007)))) % 0.58/1.30 (assume @p1142 @t1019) % 0.58/1.30 (assume @p1143 (forall @t1009 (=> @t1015 (tptp.class_Rings_Ocomm__semiring__0 @t1007)))) % 0.58/1.30 (assume @p1144 (forall @t1009 (=> @t1020 (tptp.class_Divides_Osemiring__div @t1007)))) % 0.58/1.30 (assume @p1145 (forall @t1009 (=> @t1015 (tptp.class_Rings_Ocomm__semiring @t1007)))) % 0.58/1.30 (assume @p1146 (forall @t1009 (=> @t1021 (tptp.class_Groups_Oab__group__add @t1007)))) % 0.58/1.30 (assume @p1147 @t1023) % 0.58/1.30 (assume @p1148 (forall @t1009 (=> @t1014 (tptp.class_Rings_Oordered__ring @t1007)))) % 0.58/1.30 (assume @p1149 (forall @t1009 (=> @t1016 (tptp.class_Groups_Omonoid__mult @t1007)))) % 0.58/1.30 (assume @p1150 (forall @t1009 (=> @t1024 (tptp.class_Rings_Ocomm__ring__1 @t1007)))) % 0.58/1.30 (assume @p1151 (forall @t1009 (=> @t1017 (tptp.class_Groups_Omonoid__add @t1007)))) % 0.58/1.30 (assume @p1152 (forall @t1009 (=> @t1015 (tptp.class_Rings_Osemiring__0 @t1007)))) % 0.58/1.30 (assume @p1153 (forall @t1009 (=> @t1021 (tptp.class_Groups_Ogroup__add @t1007)))) % 0.58/1.30 (assume @p1154 (forall @t1009 (=> @t1020 (tptp.class_Divides_Oring__div @t1007)))) % 0.58/1.30 (assume @p1155 (forall @t1009 (=> @t1015 (tptp.class_Rings_Omult__zero @t1007)))) % 0.58/1.30 (assume @p1156 (forall @t1009 (=> @t1025 (tptp.class_Rings_Ocomm__ring @t1007)))) % 0.58/1.30 (assume @p1157 (forall @t1009 (=> @t1014 (tptp.class_Int_Oring__char__0 @t1007)))) % 0.58/1.30 (assume @p1158 (forall @t1009 (=> @t1015 (tptp.class_Rings_Osemiring @t1007)))) % 0.58/1.30 (assume @p1159 (forall @t1009 (=> @t1014 (tptp.class_Groups_Osgn__if @t1007)))) % 0.58/1.30 (assume @p1160 (forall @t1009 (=> @t1024 (tptp.class_Rings_Oring__1 @t1007)))) % 0.58/1.30 (assume @p1161 (forall @t1009 (=> @t1016 (tptp.class_Power_Opower @t1007)))) % 0.58/1.30 (assume @p1162 (forall @t1009 (=> (tptp.class_Groups_Ozero @t1006) (tptp.class_Groups_Ozero @t1007)))) % 0.58/1.30 (assume @p1163 (forall @t1009 (=> @t1025 (tptp.class_Rings_Oring @t1007)))) % 0.58/1.30 (assume @p1164 (forall @t1009 (=> @t1013 (tptp.class_Rings_Oidom @t1007)))) % 0.58/1.30 (assume @p1165 (forall @t1009 (=> @t1016 (tptp.class_Groups_Oone @t1007)))) % 0.58/1.30 (assume @p1166 (forall @t1009 (=> @t1016 (tptp.class_Rings_Odvd @t1007)))) % 0.58/1.30 (assume @p1167 (forall @t394 (or (not @t1026) @t54))) % 0.58/1.30 (assume @p1168 (forall @t394 (or @t396 @t1026))) % 0.58/1.30 (assume @p1169 (not (tptp.hBOOL tptp.c_fFalse))) % 0.58/1.30 (assume @p1170 (tptp.hBOOL tptp.c_fTrue)) % 0.58/1.30 (assume @p1171 (not false)) % 0.58/1.30 (assume @p1172 true) % 0.58/1.30 (step @p1173 :rule bool-impl-elim :args (@t15 @t1027)) % 0.58/1.30 (step @p1174 :rule cong :premises (@p1173) :args ((forall @t174 (=> @t15 @t1027)))) % 0.58/1.30 (step @p1175 :rule eq-symm :args (@t172 @t65)) % 0.58/1.30 (step @p1176 :rule refl :args (@t15)) % 0.58/1.30 (step @p1177 :rule cong :premises (@p1176 @p1175) :args (@t173)) % 0.58/1.30 (step @p1178 :rule cong :premises (@p1177) :args (@t175)) % 0.58/1.30 (step @p1179 :rule trans :premises (@p1178 @p1174)) % 0.58/1.30 (step @p1180 :rule eq_resolve :premises (@p67 @p1179)) % 0.58/1.30 (step @p1181 :rule instantiate :premises (@p1180) :args (@t1028)) % 0.58/1.30 (step @p1182 :rule cnf_or_pos :args (@t1031)) % 0.58/1.30 (step @p1183 :rule reordering :premises (@p1182) :args ((or @t1030 @t1029 (not @t1031)))) % 0.58/1.30 (step @p1184 :rule chain_m_resolution :premises (@p1183 @p1111 @p1181) :args (@t1029 @t1032 (@list @t1012 @t1031))) % 0.58/1.30 (step @p1185 :rule bool-impl-elim :args (@t20 @t1033)) % 0.58/1.30 (step @p1186 :rule cong :premises (@p1185) :args ((forall @t89 (=> @t20 @t1033)))) % 0.58/1.30 (step @p1187 :rule eq-symm :args (@t183 @t18)) % 0.58/1.30 (step @p1188 :rule refl :args (@t20)) % 0.58/1.30 (step @p1189 :rule cong :premises (@p1188 @p1187) :args (@t184)) % 0.58/1.30 (step @p1190 :rule cong :premises (@p1189) :args (@t185)) % 0.58/1.30 (step @p1191 :rule trans :premises (@p1190 @p1186)) % 0.58/1.30 (step @p1192 :rule eq_resolve :premises (@p75 @p1191)) % 0.58/1.30 (step @p1193 :rule instantiate :premises (@p1192) :args ((@list tptp.v_r____ tptp.tc_Complex_Ocomplex))) % 0.58/1.30 (step @p1194 :rule cnf_or_pos :args (@t1038)) % 0.58/1.30 (step @p1195 :rule reordering :premises (@p1194) :args ((or @t1037 @t1036 (not @t1038)))) % 0.58/1.30 (step @p1196 :rule chain_m_resolution :premises (@p1195 @p1093 @p1193) :args (@t1036 @t1032 (@list @t1011 @t1038))) % 0.58/1.30 (step @p1197 :rule bool-impl-elim :args (@t154 @t1039)) % 0.58/1.30 (step @p1198 :rule cong :premises (@p1197) :args ((forall @t39 (=> @t154 @t1039)))) % 0.58/1.30 (step @p1199 :rule eq-symm :args (@t453 @t381)) % 0.58/1.30 (step @p1200 :rule refl :args (@t154)) % 0.58/1.30 (step @p1201 :rule cong :premises (@p1200 @p1199) :args (@t454)) % 0.58/1.30 (step @p1202 :rule cong :premises (@p1201) :args (@t455)) % 0.58/1.30 (step @p1203 :rule trans :premises (@p1202 @p1198)) % 0.58/1.30 (step @p1204 :rule eq_resolve :premises (@p273 @p1203)) % 0.58/1.30 (step @p1205 :rule instantiate :premises (@p1204) :args ((@list tptp.v_q @t6))) % 0.58/1.30 (step @p1206 :rule bool-impl-elim :args (@t1016 @t1018)) % 0.58/1.30 (step @p1207 :rule cong :premises (@p1206) :args (@t1019)) % 0.58/1.30 (step @p1208 :rule eq_resolve :premises (@p1142 @p1207)) % 0.58/1.30 (step @p1209 :rule instantiate :premises (@p1208) :args (@t1028)) % 0.58/1.30 (step @p1210 :rule cnf_or_pos :args (@t1042)) % 0.58/1.30 (step @p1211 :rule reordering :premises (@p1210) :args ((or @t1041 @t1040 (not @t1042)))) % 0.58/1.30 (step @p1212 :rule chain_m_resolution :premises (@p1211 @p1092 @p1209) :args (@t1040 @t1032 (@list @t1010 @t1042))) % 0.58/1.30 (step @p1213 :rule cnf_or_pos :args (@t1046)) % 0.58/1.30 (step @p1214 :rule reordering :premises (@p1213) :args ((or @t1045 @t1044 (not @t1046)))) % 0.58/1.30 (step @p1215 :rule chain_m_resolution :premises (@p1214 @p1212 @p1205) :args (@t1044 @t1032 (@list @t1040 @t1046))) % 0.58/1.30 (step @p1216 :rule bool-impl-elim :args (@t201 @t423)) % 0.58/1.30 (step @p1217 :rule cong :premises (@p1216) :args (@t424)) % 0.58/1.30 (step @p1218 :rule eq_resolve :premises (@p232 @p1217)) % 0.58/1.30 (step @p1219 :rule instantiate :premises (@p1218) :args ((@list @t6))) % 0.58/1.30 (step @p1220 :rule bool-impl-elim :args (@t1016 @t1022)) % 0.58/1.30 (step @p1221 :rule cong :premises (@p1220) :args (@t1023)) % 0.58/1.30 (step @p1222 :rule eq_resolve :premises (@p1147 @p1221)) % 0.58/1.30 (step @p1223 :rule instantiate :premises (@p1222) :args (@t1028)) % 0.58/1.30 (step @p1224 :rule cnf_or_pos :args (@t1048)) % 0.58/1.30 (step @p1225 :rule reordering :premises (@p1224) :args ((or @t1041 @t1047 (not @t1048)))) % 0.58/1.30 (step @p1226 :rule chain_m_resolution :premises (@p1225 @p1092 @p1223) :args (@t1047 @t1032 (@list @t1010 @t1048))) % 0.58/1.30 (step @p1227 :rule cnf_or_pos :args (@t1052)) % 0.58/1.30 (step @p1228 :rule reordering :premises (@p1227) :args ((or @t1051 @t1050 (not @t1052)))) % 0.58/1.30 (step @p1229 :rule chain_m_resolution :premises (@p1228 @p1226 @p1219) :args (@t1050 @t1032 (@list @t1047 @t1052))) % 0.58/1.30 (assume-push @p1260 @t8) % 0.58/1.30 (assume-push @p1261 @t97) % 0.58/1.30 (assume-push @p1262 @t1029) % 0.58/1.30 (assume-push @p1263 @t1036) % 0.58/1.30 (assume-push @p1264 @t1044) % 0.58/1.30 (step @p1235 :rule symm :premises (@p1215)) % 0.58/1.30 (step @p1236 :rule symm :premises (@p1184)) % 0.58/1.30 (step @p1237 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 0.58/1.30 (step @p1238 :rule cong :premises (@p1237 @p2) :args (@t93)) % 0.58/1.30 (step @p1239 :rule trans :premises (@p1238 @p1236)) % 0.58/1.30 (step @p1240 :rule refl :args (@t95)) % 0.58/1.30 (step @p1241 :rule cong :premises (@p1240 @p1239) :args (@t96)) % 0.58/1.30 (step @p1242 :rule symm :premises (@p31)) % 0.58/1.30 (step @p1243 :rule refl :args (tptp.v_r____)) % 0.58/1.30 (step @p1244 :rule symm :premises (@p2)) % 0.58/1.30 (step @p1245 :rule refl :args (@t91)) % 0.58/1.30 (step @p1246 :rule cong :premises (@p1245 @p1244) :args (@t1034)) % 0.58/1.30 (step @p1247 :rule cong :premises (@p1246 @p1243) :args (@t1035)) % 0.58/1.30 (step @p1248 :rule trans :premises (@p1196 @p1247 @p1242 @p1241 @p1235)) % 0.58/1.30 (step-pop @p1265 :rule scope :premises (@p1248)) % 0.58/1.30 (step-pop @p1266 :rule scope :premises (@p1265)) % 0.58/1.30 (step-pop @p1267 :rule scope :premises (@p1266)) % 0.58/1.30 (step-pop @p1268 :rule scope :premises (@p1267)) % 0.58/1.30 (step-pop @p1269 :rule scope :premises (@p1268)) % 0.58/1.30 (step @p1249 :rule process_scope :premises (@p1269) :args (@t1049)) % 0.58/1.30 (step @p1255 :rule implies_elim :premises (@p1249)) % 0.58/1.30 (step @p1256 :rule cnf_and_neg :args (@t1053)) % 0.58/1.30 (step @p1257 :rule resolution :premises (@p1256 @p1255) :args (true @t1053)) % 0.58/1.30 (step @p1258 :rule reordering :premises (@p1257) :args ((or (not @t8) (not @t97) @t1049 (not @t1029) (not @t1036) (not @t1044)))) % 0.58/1.30 (step @p1259 false :rule chain_m_resolution :premises (@p1258 @p1229 @p1215 @p1196 @p1184 @p31 @p2) :args (false (@list true false false false false false) (@list @t1049 @t1044 @t1036 @t1029 @t97 @t8))) % 0.58/1.30 ) % 0.58/1.30 % SZS output end Proof % 0.58/1.30 % cvc5 exiting %------------------------------------------------------------------------------