%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW187+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n025.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 09:04:29 AM UTC 2026 % Result : Theorem 35.14s 35.34s % Output : Proof 35.14s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW187+1 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n025.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 21:38:01 EDT 2026 % 0.17/0.34 % CPUTime : % 0.44/0.72 %----Proving TF0_NAR, FOF, or CNF % 35.14/35.34 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 35.14/35.34 --- Run --no-e-matching --full-saturate-quant at 6... % 35.14/35.34 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 35.14/35.34 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 35.14/35.34 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 35.14/35.34 % SZS status Theorem % 35.14/35.34 % SZS output start Proof % 35.14/35.34 ( % 35.14/35.34 (declare-sort $$unsorted 0) % 35.14/35.34 (declare-const tptp.tc_HOL_Obool $$unsorted) % 35.14/35.34 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_fTrue $$unsorted) % 35.14/35.34 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.c_fFalse $$unsorted) % 35.14/35.34 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.v_p $$unsorted) % 35.14/35.34 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.tc_Int_Oint $$unsorted) % 35.14/35.34 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_HOL_Oequal__class_Oequal (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.v_h $$unsorted) % 35.14/35.34 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.t_a $$unsorted) % 35.14/35.34 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.tc_Nat_Onat $$unsorted) % 35.14/35.34 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.v_a $$unsorted) % 35.14/35.34 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Enum_Oenum (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_HOL_Oequal (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 35.14/35.34 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 35.14/35.34 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 35.14/35.34 (define @t1 () (@var "V_g_2" $$unsorted)) % 35.14/35.34 (define @t2 () (@var "V_f_2" $$unsorted)) % 35.14/35.34 (define @t3 () (@var "B_x" $$unsorted)) % 35.14/35.34 (define @t4 () (tptp.hAPP @t1 @t3)) % 35.14/35.34 (define @t5 () (tptp.hAPP @t2 @t3)) % 35.14/35.34 (define @t6 () (@list @t3)) % 35.14/35.34 (define @t7 () (@var "V_q_2" $$unsorted)) % 35.14/35.34 (define @t8 () (@var "V_pa_2" $$unsorted)) % 35.14/35.34 (define @t9 () (= @t8 @t7)) % 35.14/35.34 (define @t10 () (@var "V_b_2" $$unsorted)) % 35.14/35.34 (define @t11 () (@var "V_a_2" $$unsorted)) % 35.14/35.34 (define @t12 () (= @t11 @t10)) % 35.14/35.34 (define @t13 () (@var "T_b" $$unsorted)) % 35.14/35.34 (define @t14 () (tptp.c_Polynomial_OpCons @t13 @t10 @t7)) % 35.14/35.34 (define @t15 () (tptp.c_Polynomial_OpCons @t13 @t11 @t8)) % 35.14/35.34 (define @t16 () (tptp.class_Groups_Ozero @t13)) % 35.14/35.34 (define @t17 () (@list @t7 @t10 @t8 @t11 @t13)) % 35.14/35.34 (define @t18 () (@var "T_a" $$unsorted)) % 35.14/35.34 (define @t19 () (tptp.tc_Polynomial_Opoly @t18)) % 35.14/35.34 (define @t20 () (tptp.c_Groups_Ozero__class_Ozero @t19)) % 35.14/35.34 (define @t21 () (@var "V_a" $$unsorted)) % 35.14/35.34 (define @t22 () (tptp.c_Polynomial_OpCons @t18 @t21 @t20)) % 35.14/35.34 (define @t23 () (@var "V_h" $$unsorted)) % 35.14/35.34 (define @t24 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t18 @t22 @t23)) % 35.14/35.34 (define @t25 () (tptp.class_Rings_Ocomm__semiring__0 @t18)) % 35.14/35.34 (define @t26 () (=> @t25 (= @t24 @t22))) % 35.14/35.34 (define @t27 () (@list @t23 @t21 @t18)) % 35.14/35.34 (define @t28 () (forall @t27 @t26)) % 35.14/35.34 (define @t29 () (tptp.tc_Polynomial_Opoly @t13)) % 35.14/35.34 (define @t30 () (tptp.c_Groups_Ozero__class_Ozero @t29)) % 35.14/35.34 (define @t31 () (= @t8 @t30)) % 35.14/35.34 (define @t32 () (@var "V_ha_2" $$unsorted)) % 35.14/35.34 (define @t33 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t13 @t8 @t32)) % 35.14/35.34 (define @t34 () (= (= @t33 @t30) @t31)) % 35.14/35.34 (define @t35 () (tptp.class_Rings_Ocomm__semiring__0 @t13)) % 35.14/35.34 (define @t36 () (=> @t35 @t34)) % 35.14/35.34 (define @t37 () (@list @t32 @t8 @t13)) % 35.14/35.34 (define @t38 () (forall @t37 @t36)) % 35.14/35.34 (define @t39 () (@var "V_p" $$unsorted)) % 35.14/35.34 (define @t40 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t18 @t39 @t23)) % 35.14/35.34 (define @t41 () (tptp.c_Polynomial_OpCons @t18 @t21 @t39)) % 35.14/35.34 (define @t42 () (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t18 @t41 @t23) (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.c_Polynomial_Osmult @t18 @t23 @t40) (tptp.c_Polynomial_OpCons @t18 @t21 @t40)))) % 35.14/35.34 (define @t43 () (forall (@list @t23 @t39 @t21 @t18) (=> @t25 @t42))) % 35.14/35.34 (define @t44 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 35.14/35.34 (define @t45 () (tptp.class_Groups_Ozero @t18)) % 35.14/35.34 (define @t46 () (@list @t21 @t18)) % 35.14/35.34 (define @t47 () (@var "B_q" $$unsorted)) % 35.14/35.34 (define @t48 () (@var "B_a" $$unsorted)) % 35.14/35.34 (define @t49 () (@list @t39 @t18)) % 35.14/35.34 (define @t50 () (tptp.c_Polynomial_Odegree @t18 @t39)) % 35.14/35.34 (define @t51 () (tptp.c_Nat_OSuc @t50)) % 35.14/35.34 (define @t52 () (tptp.c_Polynomial_Odegree @t18 @t41)) % 35.14/35.34 (define @t53 () (= @t52 @t51)) % 35.14/35.34 (define @t54 () (= @t39 @t20)) % 35.14/35.34 (define @t55 () (not @t54)) % 35.14/35.34 (define @t56 () (=> @t55 @t53)) % 35.14/35.34 (define @t57 () (=> @t45 @t56)) % 35.14/35.34 (define @t58 () (@list @t21 @t39 @t18)) % 35.14/35.34 (define @t59 () (forall @t58 @t57)) % 35.14/35.34 (define @t60 () (@list @t39 @t21 @t18)) % 35.14/35.34 (define @t61 () (@var "V_x" $$unsorted)) % 35.14/35.34 (define @t62 () (tptp.c_Polynomial_Opoly @t18 @t39)) % 35.14/35.34 (define @t63 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t39)) % 35.14/35.34 (define @t64 () (tptp.class_Groups_Oab__group__add @t18)) % 35.14/35.34 (define @t65 () (tptp.c_HOL_Oequal__class_Oequal @t29 @t8 @t7)) % 35.14/35.34 (define @t66 () (and @t16 (tptp.class_HOL_Oequal @t13))) % 35.14/35.34 (define @t67 () (@list @t18)) % 35.14/35.34 (define @t68 () (tptp.c_Polynomial_Osmult @t18 @t21 @t39)) % 35.14/35.34 (define @t69 () (tptp.c_Polynomial_Odegree @t18 @t68)) % 35.14/35.34 (define @t70 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t69 @t50)) % 35.14/35.34 (define @t71 () (forall @t60 (=> @t25 @t70))) % 35.14/35.34 (define @t72 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t21)) % 35.14/35.34 (define @t73 () (tptp.class_Groups_Oab__group__add @t13)) % 35.14/35.34 (define @t74 () (tptp.c_Groups_Ozero__class_Ozero @t18)) % 35.14/35.34 (define @t75 () (= @t21 @t74)) % 35.14/35.34 (define @t76 () (not @t75)) % 35.14/35.34 (define @t77 () (tptp.class_Rings_Oidom @t18)) % 35.14/35.34 (define @t78 () (@list @t61 @t18)) % 35.14/35.34 (define @t79 () (@var "V_q" $$unsorted)) % 35.14/35.34 (define @t80 () (tptp.class_Groups_Ocomm__monoid__add @t18)) % 35.14/35.34 (define @t81 () (@list @t79 @t18)) % 35.14/35.34 (define @t82 () (tptp.c_Groups_Ozero__class_Ozero @t13)) % 35.14/35.34 (define @t83 () (@list @t7 @t8 @t13)) % 35.14/35.34 (define @t84 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t68)) % 35.14/35.34 (define @t85 () (tptp.class_Rings_Ocomm__ring @t18)) % 35.14/35.34 (define @t86 () (tptp.c_Polynomial_Osmult @t18 @t21 @t79)) % 35.14/35.34 (define @t87 () (tptp.c_Groups_Oplus__class_Oplus @t19 @t39 @t79)) % 35.14/35.34 (define @t88 () (@list @t79 @t39 @t21 @t18)) % 35.14/35.34 (define @t89 () (tptp.hAPP @t62 @t61)) % 35.14/35.34 (define @t90 () (tptp.c_Polynomial_Opoly @t13 @t8)) % 35.14/35.34 (define @t91 () (tptp.class_Rings_Oidom @t13)) % 35.14/35.34 (define @t92 () (and (tptp.class_Int_Oring__char__0 @t13) @t91)) % 35.14/35.34 (define @t93 () (@list @t8 @t13)) % 35.14/35.34 (define @t94 () (= @t11 @t82)) % 35.14/35.34 (define @t95 () (@list @t8 @t11 @t13)) % 35.14/35.34 (define @t96 () (tptp.c_Polynomial_Osmult @t13 @t11 @t8)) % 35.14/35.34 (define @t97 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t79) @t61)) % 35.14/35.34 (define @t98 () (@list @t61 @t79 @t39 @t18)) % 35.14/35.34 (define @t99 () (@var "V_b" $$unsorted)) % 35.14/35.34 (define @t100 () (tptp.c_Polynomial_Osmult @t18 @t99 @t39)) % 35.14/35.34 (define @t101 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t99)) % 35.14/35.34 (define @t102 () (@list @t39 @t99 @t21 @t18)) % 35.14/35.34 (define @t103 () (tptp.c_Polynomial_OpCons @t18 @t99 @t79)) % 35.14/35.34 (define @t104 () (@list @t79 @t99 @t39 @t21 @t18)) % 35.14/35.34 (define @t105 () (@var "V_n" $$unsorted)) % 35.14/35.34 (define @t106 () (tptp.c_Polynomial_Odegree @t18 @t87)) % 35.14/35.34 (define @t107 () (tptp.c_Polynomial_Odegree @t18 @t79)) % 35.14/35.34 (define @t108 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t50 @t105)) % 35.14/35.34 (define @t109 () (@list @t79 @t105 @t39 @t18)) % 35.14/35.34 (define @t110 () (@var "V_c" $$unsorted)) % 35.14/35.34 (define @t111 () (tptp.c_Polynomial_Osmult @t18 @t110 @t39)) % 35.14/35.34 (define @t112 () (@list @t21 @t39 @t110 @t18)) % 35.14/35.34 (define @t113 () (@list @t105)) % 35.14/35.34 (define @t114 () (tptp.class_Groups_Ogroup__add @t18)) % 35.14/35.34 (define @t115 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t11 @t10)) % 35.14/35.34 (define @t116 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t10)) % 35.14/35.34 (define @t117 () (= @t11 @t116)) % 35.14/35.34 (define @t118 () (tptp.class_Groups_Ogroup__add @t13)) % 35.14/35.34 (define @t119 () (@list @t10 @t11 @t13)) % 35.14/35.34 (define @t120 () (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t72 @t21) @t74)) % 35.14/35.34 (define @t121 () (@var "V_x_2" $$unsorted)) % 35.14/35.34 (define @t122 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t121)) % 35.14/35.34 (define @t123 () (@var "V_y_2" $$unsorted)) % 35.14/35.34 (define @t124 () (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t121 @t123) @t82)) % 35.14/35.34 (define @t125 () (@list @t123 @t121 @t13)) % 35.14/35.34 (define @t126 () (@list @t99 @t21 @t18)) % 35.14/35.34 (define @t127 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t11 @t82)) % 35.14/35.34 (define @t128 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t11)) % 35.14/35.34 (define @t129 () (tptp.class_Groups_Oordered__ab__group__add @t13)) % 35.14/35.34 (define @t130 () (@list @t11 @t13)) % 35.14/35.34 (define @t131 () (tptp.class_Groups_Olinordered__ab__group__add @t13)) % 35.14/35.34 (define @t132 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t82 @t11)) % 35.14/35.34 (define @t133 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t11 @t11)) % 35.14/35.34 (define @t134 () (= @t121 @t82)) % 35.14/35.34 (define @t135 () (@list @t121 @t13)) % 35.14/35.34 (define @t136 () (= @t99 @t110)) % 35.14/35.34 (define @t137 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t110 @t21)) % 35.14/35.34 (define @t138 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t99 @t21)) % 35.14/35.34 (define @t139 () (tptp.class_Groups_Ocancel__semigroup__add @t18)) % 35.14/35.34 (define @t140 () (@list @t110 @t21 @t99 @t18)) % 35.14/35.34 (define @t141 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t110)) % 35.14/35.34 (define @t142 () (=> (= @t101 @t141) @t136)) % 35.14/35.34 (define @t143 () (@list @t110 @t99 @t21 @t18)) % 35.14/35.34 (define @t144 () (@var "V_c_2" $$unsorted)) % 35.14/35.34 (define @t145 () (= @t10 @t144)) % 35.14/35.34 (define @t146 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t144 @t11)) % 35.14/35.34 (define @t147 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t10 @t11)) % 35.14/35.34 (define @t148 () (tptp.class_Groups_Ocancel__semigroup__add @t13)) % 35.14/35.34 (define @t149 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t11 @t144)) % 35.14/35.34 (define @t150 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t99 @t110)) % 35.14/35.34 (define @t151 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t101 @t110)) % 35.14/35.34 (define @t152 () (= @t151 (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t150))) % 35.14/35.34 (define @t153 () (= @t105 @t44)) % 35.14/35.34 (define @t154 () (@var "V_m" $$unsorted)) % 35.14/35.34 (define @t155 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t105)) % 35.14/35.34 (define @t156 () (@list @t105 @t154)) % 35.14/35.34 (define @t157 () (@var "V_n_2" $$unsorted)) % 35.14/35.34 (define @t158 () (= @t157 @t44)) % 35.14/35.34 (define @t159 () (@var "V_m_2" $$unsorted)) % 35.14/35.34 (define @t160 () (= @t159 @t44)) % 35.14/35.34 (define @t161 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t159 @t157)) % 35.14/35.34 (define @t162 () (@list @t157 @t159)) % 35.14/35.34 (define @t163 () (@list @t154)) % 35.14/35.34 (define @t164 () (@var "V_y" $$unsorted)) % 35.14/35.34 (define @t165 () (= @t61 @t164)) % 35.14/35.34 (define @t166 () (@list @t164 @t61)) % 35.14/35.34 (define @t167 () (@var "V_nat_H_2" $$unsorted)) % 35.14/35.34 (define @t168 () (@var "V_nat_2" $$unsorted)) % 35.14/35.34 (define @t169 () (tptp.c_Nat_OSuc @t105)) % 35.14/35.34 (define @t170 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t169)) % 35.14/35.34 (define @t171 () (tptp.c_Nat_OSuc @t154)) % 35.14/35.34 (define @t172 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t171 @t105)) % 35.14/35.34 (define @t173 () (tptp.c_Nat_OSuc @t155)) % 35.14/35.34 (define @t174 () (@var "V_k" $$unsorted)) % 35.14/35.34 (define @t175 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 @t105)) % 35.14/35.34 (define @t176 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t154 @t105)) % 35.14/35.34 (define @t177 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t174)) % 35.14/35.34 (define @t178 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t177 @t105)) % 35.14/35.34 (define @t179 () (@list @t105 @t174 @t154)) % 35.14/35.34 (define @t180 () (@var "V_l" $$unsorted)) % 35.14/35.34 (define @t181 () (@var "V_j" $$unsorted)) % 35.14/35.34 (define @t182 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t181 @t180)) % 35.14/35.34 (define @t183 () (@var "V_i" $$unsorted)) % 35.14/35.34 (define @t184 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t183 @t174)) % 35.14/35.34 (define @t185 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 @t180)) % 35.14/35.34 (define @t186 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t183 @t181)) % 35.14/35.34 (define @t187 () (@list @t180 @t174 @t181 @t183)) % 35.14/35.34 (define @t188 () (= @t154 @t105)) % 35.14/35.34 (define @t189 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t105 @t154)) % 35.14/35.34 (define @t190 () (@list @t174 @t181 @t183)) % 35.14/35.34 (define @t191 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t181 @t174)) % 35.14/35.34 (define @t192 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t181)) % 35.14/35.34 (define @t193 () (@list @t154 @t181 @t183)) % 35.14/35.34 (define @t194 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t181 @t154)) % 35.14/35.34 (define @t195 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t159 @t157)) % 35.14/35.34 (define @t196 () (@var "V_k_2" $$unsorted)) % 35.14/35.34 (define @t197 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t196 @t157)) % 35.14/35.34 (define @t198 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t196 @t159)) % 35.14/35.34 (define @t199 () (@list @t157 @t159 @t196)) % 35.14/35.34 (define @t200 () (@var "B_k" $$unsorted)) % 35.14/35.34 (define @t201 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t159 @t200)) % 35.14/35.34 (define @t202 () (@list @t200)) % 35.14/35.34 (define @t203 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t105 @t154)) % 35.14/35.34 (define @t204 () (@list @t154 @t105)) % 35.14/35.34 (define @t205 () (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t74) @t21)) % 35.14/35.34 (define @t206 () (tptp.class_Groups_Omonoid__add @t18)) % 35.14/35.34 (define @t207 () (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t74 @t21) @t21)) % 35.14/35.34 (define @t208 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t21 @t99)) % 35.14/35.34 (define @t209 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t110 @t99)) % 35.14/35.34 (define @t210 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t137 @t209)) % 35.14/35.34 (define @t211 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t18)) % 35.14/35.34 (define @t212 () (@list @t99 @t21 @t110 @t18)) % 35.14/35.34 (define @t213 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t141 @t150)) % 35.14/35.34 (define @t214 () (@list @t99 @t110 @t21 @t18)) % 35.14/35.34 (define @t215 () (@var "V_d" $$unsorted)) % 35.14/35.34 (define @t216 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t99 @t215)) % 35.14/35.34 (define @t217 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t110 @t215)) % 35.14/35.34 (define @t218 () (tptp.class_Groups_Oordered__ab__semigroup__add @t18)) % 35.14/35.34 (define @t219 () (@list @t215 @t110 @t99 @t21 @t18)) % 35.14/35.34 (define @t220 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t11 @t10)) % 35.14/35.34 (define @t221 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t144 @t10)) % 35.14/35.34 (define @t222 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t13)) % 35.14/35.34 (define @t223 () (@list @t10 @t11 @t144 @t13)) % 35.14/35.34 (define @t224 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t10 @t144)) % 35.14/35.34 (define @t225 () (@list @t10 @t144 @t11 @t13)) % 35.14/35.34 (define @t226 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t99)) % 35.14/35.34 (define @t227 () (@list @t11 @t10 @t13)) % 35.14/35.34 (define @t228 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t101)) % 35.14/35.34 (define @t229 () (tptp.c_Nat_OSuc @t44)) % 35.14/35.34 (define @t230 () (= @t157 @t229)) % 35.14/35.34 (define @t231 () (= @t159 @t229)) % 35.14/35.34 (define @t232 () (or (and @t231 @t158) (and @t160 @t230))) % 35.14/35.34 (define @t233 () (@var "V_nat_H_1" $$unsorted)) % 35.14/35.34 (define @t234 () (@var "V_nat_H" $$unsorted)) % 35.14/35.34 (define @t235 () (@list @t157)) % 35.14/35.34 (define @t236 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t171 @t105)) % 35.14/35.34 (define @t237 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t154 @t169)) % 35.14/35.34 (define @t238 () (tptp.c_Nat_OSuc @t159)) % 35.14/35.34 (define @t239 () (tptp.c_Nat_OSuc @t157)) % 35.14/35.34 (define @t240 () (@list @t159 @t157)) % 35.14/35.34 (define @t241 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t239 @t159)) % 35.14/35.34 (define @t242 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t99 @t74)) % 35.14/35.34 (define @t243 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t21 @t74)) % 35.14/35.34 (define @t244 () (tptp.class_Groups_Oordered__comm__monoid__add @t18)) % 35.14/35.34 (define @t245 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t99 @t141)) % 35.14/35.34 (define @t246 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t99 @t21)) % 35.14/35.34 (define @t247 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t110)) % 35.14/35.34 (define @t248 () (@list @t21 @t99 @t110 @t18)) % 35.14/35.34 (define @t249 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t99 @t110)) % 35.14/35.34 (define @t250 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t21)) % 35.14/35.34 (define @t251 () (= @t123 @t82)) % 35.14/35.34 (define @t252 () (and @t134 @t251)) % 35.14/35.34 (define @t253 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t99)) % 35.14/35.34 (define @t254 () (tptp.class_Orderings_Opreorder @t18)) % 35.14/35.34 (define @t255 () (tptp.c_Polynomial_Osynthetic__div @t18 @t39 @t110)) % 35.14/35.34 (define @t256 () (tptp.hAPP @t62 @t110)) % 35.14/35.34 (define @t257 () (@var "V_r" $$unsorted)) % 35.14/35.34 (define @t258 () (tptp.c_Polynomial_OpCons @t18 @t256 @t255)) % 35.14/35.34 (define @t259 () (tptp.c_Polynomial_Oorder @t18 @t21 @t39)) % 35.14/35.34 (define @t260 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t61)) % 35.14/35.34 (define @t261 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t164)) % 35.14/35.34 (define @t262 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t61 @t164)) % 35.14/35.34 (define @t263 () (tptp.class_Lattices_Oboolean__algebra @t18)) % 35.14/35.34 (define @t264 () (@list @t164 @t61 @t18)) % 35.14/35.34 (define @t265 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t123 @t121)) % 35.14/35.34 (define @t266 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t123)) % 35.14/35.34 (define @t267 () (tptp.class_Lattices_Oboolean__algebra @t13)) % 35.14/35.34 (define @t268 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t13)) % 35.14/35.34 (define @t269 () (tptp.class_Rings_Ocomm__semiring__1 @t18)) % 35.14/35.34 (define @t270 () (@var "V_z" $$unsorted)) % 35.14/35.34 (define @t271 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 @t270)) % 35.14/35.34 (define @t272 () (@list @t270 @t164 @t61)) % 35.14/35.34 (define @t273 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t105 @t174)) % 35.14/35.34 (define @t274 () (@list @t174 @t105 @t154)) % 35.14/35.34 (define @t275 () (= @t159 @t157)) % 35.14/35.34 (define @t276 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t196)) % 35.14/35.34 (define @t277 () (@list @t157 @t196 @t159)) % 35.14/35.34 (define @t278 () (@var "T_c" $$unsorted)) % 35.14/35.34 (define @t279 () (tptp.tc_fun @t13 @t278)) % 35.14/35.34 (define @t280 () (tptp.c_Orderings_Oord__class_Oless__eq @t279 @t2 @t1)) % 35.14/35.34 (define @t281 () (tptp.class_Orderings_Oord @t278)) % 35.14/35.34 (define @t282 () (@list @t1 @t2 @t13 @t278)) % 35.14/35.34 (define @t283 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t164 @t61)) % 35.14/35.34 (define @t284 () (tptp.class_Orderings_Olinorder @t18)) % 35.14/35.34 (define @t285 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t121 @t123)) % 35.14/35.34 (define @t286 () (= @t121 @t123)) % 35.14/35.34 (define @t287 () (tptp.class_Orderings_Oorder @t13)) % 35.14/35.34 (define @t288 () (= @t285 @t286)) % 35.14/35.34 (define @t289 () (@list @t121 @t123 @t13)) % 35.14/35.34 (define @t290 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t21 @t110)) % 35.14/35.34 (define @t291 () (= @t21 @t99)) % 35.14/35.34 (define @t292 () (tptp.class_Orderings_Oord @t18)) % 35.14/35.34 (define @t293 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t110 @t21)) % 35.14/35.34 (define @t294 () (tptp.class_Orderings_Oorder @t18)) % 35.14/35.34 (define @t295 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t164 @t270)) % 35.14/35.34 (define @t296 () (@list @t270 @t164 @t61 @t18)) % 35.14/35.34 (define @t297 () (@list @t61 @t164 @t18)) % 35.14/35.34 (define @t298 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t270 @t164)) % 35.14/35.34 (define @t299 () (@list @t270 @t61 @t164 @t18)) % 35.14/35.34 (define @t300 () (not @t262)) % 35.14/35.34 (define @t301 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t110 @t215)) % 35.14/35.34 (define @t302 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t301)) % 35.14/35.34 (define @t303 () (@list @t215 @t110 @t21 @t18)) % 35.14/35.34 (define @t304 () (@var "V_A_2" $$unsorted)) % 35.14/35.34 (define @t305 () (tptp.hAPP @t304 @t121)) % 35.14/35.34 (define @t306 () (tptp.tc_fun @t278 @t13)) % 35.14/35.34 (define @t307 () (tptp.c_Polynomial_Odegree @t13 @t8)) % 35.14/35.34 (define @t308 () (@list @t144 @t8 @t13)) % 35.14/35.34 (define @t309 () (@var "B_n" $$unsorted)) % 35.14/35.34 (define @t310 () (@var "V_l_2" $$unsorted)) % 35.14/35.34 (define @t311 () (@list @t309)) % 35.14/35.34 (define @t312 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t61 @t271)) % 35.14/35.34 (define @t313 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t61 @t164)) % 35.14/35.34 (define @t314 () (@list @t164 @t270 @t61)) % 35.14/35.34 (define @t315 () (@var "V_z_2" $$unsorted)) % 35.14/35.34 (define @t316 () (tptp.c_Polynomial_Opoly__rec @t13 @t278 @t315 @t2 @t8)) % 35.14/35.34 (define @t317 () (tptp.hAPP (tptp.hAPP @t2 @t11) @t8)) % 35.14/35.34 (define @t318 () (tptp.c_Polynomial_Opoly__rec @t13 @t278 @t315 @t2 (tptp.c_Polynomial_OpCons @t278 @t11 @t8))) % 35.14/35.34 (define @t319 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t278))) % 35.14/35.34 (define @t320 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t278)) @t319) @t315) @t315)) % 35.14/35.34 (define @t321 () (tptp.class_Groups_Ozero @t278)) % 35.14/35.34 (define @t322 () (@var "V_nat" $$unsorted)) % 35.14/35.34 (define @t323 () (tptp.c_Nat_OSuc @t322)) % 35.14/35.34 (define @t324 () (@list @t322)) % 35.14/35.34 (define @t325 () (tptp.c_Groups_Otimes__class_Otimes @t19)) % 35.14/35.34 (define @t326 () (tptp.hAPP @t325 @t39)) % 35.14/35.34 (define @t327 () (tptp.hAPP @t326 @t79)) % 35.14/35.34 (define @t328 () (tptp.c_Polynomial_OpCons @t18 @t74 @t327)) % 35.14/35.34 (define @t329 () (@list @t79 @t21 @t39 @t18)) % 35.14/35.34 (define @t330 () (tptp.c_Groups_Otimes__class_Otimes @t18)) % 35.14/35.34 (define @t331 () (tptp.hAPP @t330 @t21)) % 35.14/35.34 (define @t332 () (tptp.hAPP @t331 @t21)) % 35.14/35.34 (define @t333 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t18)) % 35.14/35.34 (define @t334 () (tptp.hAPP @t330 @t61)) % 35.14/35.34 (define @t335 () (tptp.hAPP @t334 @t61)) % 35.14/35.34 (define @t336 () (tptp.hAPP @t330 @t99)) % 35.14/35.34 (define @t337 () (tptp.hAPP @t336 @t21)) % 35.14/35.34 (define @t338 () (tptp.hAPP @t331 @t99)) % 35.14/35.34 (define @t339 () (@var "V_ry" $$unsorted)) % 35.14/35.34 (define @t340 () (@var "V_lx" $$unsorted)) % 35.14/35.34 (define @t341 () (tptp.hAPP @t330 @t340)) % 35.14/35.34 (define @t342 () (@var "V_rx" $$unsorted)) % 35.14/35.34 (define @t343 () (tptp.hAPP @t330 @t342)) % 35.14/35.34 (define @t344 () (tptp.hAPP @t343 @t339)) % 35.14/35.34 (define @t345 () (tptp.hAPP @t341 @t344)) % 35.14/35.34 (define @t346 () (@list @t339 @t342 @t340 @t18)) % 35.14/35.34 (define @t347 () (tptp.hAPP @t330 (tptp.hAPP @t341 @t342))) % 35.14/35.34 (define @t348 () (@var "V_ly" $$unsorted)) % 35.14/35.34 (define @t349 () (tptp.hAPP @t330 @t348)) % 35.14/35.34 (define @t350 () (tptp.hAPP @t330 (tptp.hAPP @t341 @t348))) % 35.14/35.34 (define @t351 () (tptp.hAPP @t350 @t342)) % 35.14/35.34 (define @t352 () (@list @t342 @t348 @t340 @t18)) % 35.14/35.34 (define @t353 () (tptp.hAPP @t350 @t344)) % 35.14/35.34 (define @t354 () (@list @t339 @t342 @t348 @t340 @t18)) % 35.14/35.34 (define @t355 () (tptp.hAPP @t336 @t110)) % 35.14/35.34 (define @t356 () (= (tptp.hAPP @t331 @t74) @t74)) % 35.14/35.34 (define @t357 () (tptp.hAPP @t330 @t74)) % 35.14/35.34 (define @t358 () (= (tptp.hAPP @t357 @t21) @t74)) % 35.14/35.34 (define @t359 () (@var "V_w_2" $$unsorted)) % 35.14/35.34 (define @t360 () (tptp.c_Groups_Otimes__class_Otimes @t13)) % 35.14/35.34 (define @t361 () (tptp.hAPP @t360 @t121)) % 35.14/35.34 (define @t362 () (tptp.hAPP @t360 @t359)) % 35.14/35.34 (define @t363 () (tptp.hAPP @t330 @t101)) % 35.14/35.34 (define @t364 () (tptp.hAPP @t331 @t154)) % 35.14/35.34 (define @t365 () (tptp.hAPP @t331 @t110)) % 35.14/35.34 (define @t366 () (= (tptp.hAPP @t363 @t110) (tptp.c_Groups_Oplus__class_Oplus @t18 @t365 @t355))) % 35.14/35.34 (define @t367 () (tptp.hAPP @t360 @t10)) % 35.14/35.34 (define @t368 () (tptp.hAPP @t367 @t144)) % 35.14/35.34 (define @t369 () (@var "V_d_2" $$unsorted)) % 35.14/35.34 (define @t370 () (tptp.hAPP @t360 @t11)) % 35.14/35.34 (define @t371 () (tptp.hAPP @t370 @t144)) % 35.14/35.34 (define @t372 () (= @t144 @t369)) % 35.14/35.34 (define @t373 () (@list @t369 @t144 @t10 @t11 @t13)) % 35.14/35.34 (define @t374 () (tptp.hAPP @t334 @t164)) % 35.14/35.34 (define @t375 () (tptp.c_Polynomial_Osmult @t18 @t21 @t327)) % 35.14/35.34 (define @t376 () (tptp.hAPP @t325 @t79)) % 35.14/35.34 (define @t377 () (tptp.hAPP @t330 @t257)) % 35.14/35.34 (define @t378 () (tptp.hAPP @t361 @t121)) % 35.14/35.34 (define @t379 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t378 (tptp.hAPP (tptp.hAPP @t360 @t123) @t123))) % 35.14/35.34 (define @t380 () (tptp.class_Rings_Olinordered__ring__strict @t13)) % 35.14/35.34 (define @t381 () (@list @t61 @t39 @t21 @t18)) % 35.14/35.34 (define @t382 () (tptp.hAPP @t330 @t164)) % 35.14/35.34 (define @t383 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t335 (tptp.hAPP @t382 @t164))) % 35.14/35.34 (define @t384 () (tptp.class_Rings_Olinordered__ring @t18)) % 35.14/35.34 (define @t385 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t50 @t107)) % 35.14/35.34 (define @t386 () (tptp.c_Polynomial_Odegree @t18 @t327)) % 35.14/35.34 (define @t387 () (@list @t79 @t39 @t18)) % 35.14/35.34 (define @t388 () (not (= @t79 @t20))) % 35.14/35.34 (define @t389 () (tptp.c_Polynomial_Opcompose @t18 @t39 @t79)) % 35.14/35.34 (define @t390 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t338 @t74)) % 35.14/35.34 (define @t391 () (tptp.class_Rings_Oordered__cancel__semiring @t18)) % 35.14/35.34 (define @t392 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t338)) % 35.14/35.34 (define @t393 () (tptp.class_Rings_Oordered__ring @t18)) % 35.14/35.34 (define @t394 () (tptp.hAPP @t336 @t215)) % 35.14/35.34 (define @t395 () (=> @t247 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t365 @t394))) % 35.14/35.34 (define @t396 () (tptp.class_Rings_Oordered__semiring @t18)) % 35.14/35.34 (define @t397 () (tptp.hAPP @t330 @t110)) % 35.14/35.34 (define @t398 () (tptp.hAPP @t397 @t99)) % 35.14/35.34 (define @t399 () (tptp.hAPP @t397 @t21)) % 35.14/35.34 (define @t400 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t399 @t398)) % 35.14/35.34 (define @t401 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t110 @t74)) % 35.14/35.34 (define @t402 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t365 @t355)) % 35.14/35.34 (define @t403 () (=> @t208 (=> @t247 @t400))) % 35.14/35.34 (define @t404 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 35.14/35.34 (define @t405 () (tptp.hAPP @t404 @t154)) % 35.14/35.34 (define @t406 () (tptp.hAPP @t404 @t159)) % 35.14/35.34 (define @t407 () (tptp.hAPP @t406 @t157)) % 35.14/35.34 (define @t408 () (= @t196 @t44)) % 35.14/35.34 (define @t409 () (or @t275 @t408)) % 35.14/35.34 (define @t410 () (tptp.hAPP @t404 @t196)) % 35.14/35.34 (define @t411 () (tptp.hAPP @t410 @t157)) % 35.14/35.34 (define @t412 () (tptp.hAPP @t410 @t159)) % 35.14/35.34 (define @t413 () (= @t412 @t411)) % 35.14/35.34 (define @t414 () (tptp.hAPP @t404 @t157)) % 35.14/35.34 (define @t415 () (tptp.hAPP @t414 @t196)) % 35.14/35.34 (define @t416 () (tptp.hAPP @t406 @t196)) % 35.14/35.34 (define @t417 () (tptp.hAPP @t404 (tptp.c_Nat_OSuc @t196))) % 35.14/35.34 (define @t418 () (tptp.hAPP @t417 @t157)) % 35.14/35.34 (define @t419 () (tptp.hAPP @t417 @t159)) % 35.14/35.34 (define @t420 () (tptp.hAPP @t404 @t174)) % 35.14/35.34 (define @t421 () (tptp.hAPP @t420 @t105)) % 35.14/35.34 (define @t422 () (tptp.hAPP @t420 @t154)) % 35.14/35.34 (define @t423 () (@list @t105 @t154 @t174)) % 35.14/35.34 (define @t424 () (tptp.hAPP @t404 @t105)) % 35.14/35.34 (define @t425 () (tptp.hAPP @t424 @t174)) % 35.14/35.34 (define @t426 () (tptp.hAPP @t405 @t174)) % 35.14/35.34 (define @t427 () (tptp.hAPP @t405 @t154)) % 35.14/35.34 (define @t428 () (tptp.hAPP @t404 @t181)) % 35.14/35.34 (define @t429 () (tptp.hAPP @t428 @t174)) % 35.14/35.34 (define @t430 () (tptp.hAPP @t404 @t183)) % 35.14/35.34 (define @t431 () (tptp.hAPP @t430 @t174)) % 35.14/35.34 (define @t432 () (tptp.hAPP @t420 @t181)) % 35.14/35.34 (define @t433 () (tptp.hAPP @t420 @t183)) % 35.14/35.34 (define @t434 () (tptp.hAPP @t404 @t50)) % 35.14/35.34 (define @t435 () (tptp.hAPP @t405 @t105)) % 35.14/35.34 (define @t436 () (= @t99 @t74)) % 35.14/35.34 (define @t437 () (= @t338 @t74)) % 35.14/35.34 (define @t438 () (tptp.class_Rings_Ono__zero__divisors @t18)) % 35.14/35.34 (define @t439 () (not @t436)) % 35.14/35.34 (define @t440 () (tptp.hAPP @t370 @t10)) % 35.14/35.34 (define @t441 () (tptp.class_Rings_Omult__zero @t18)) % 35.14/35.34 (define @t442 () (@var "V_e" $$unsorted)) % 35.14/35.34 (define @t443 () (tptp.hAPP @t330 @t72)) % 35.14/35.34 (define @t444 () (tptp.class_Rings_Oring @t18)) % 35.14/35.34 (define @t445 () (tptp.hAPP @t331 @t226)) % 35.14/35.34 (define @t446 () (tptp.hAPP @t443 @t99)) % 35.14/35.34 (define @t447 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t338)) % 35.14/35.34 (define @t448 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t10 @t82)) % 35.14/35.34 (define @t449 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t82 @t10)) % 35.14/35.34 (define @t450 () (tptp.c_Groups_Oone__class_Oone @t18)) % 35.14/35.34 (define @t451 () (tptp.c_Polynomial_OpCons @t18 @t450 @t20)) % 35.14/35.34 (define @t452 () (tptp.class_Rings_Ocomm__ring__1 @t18)) % 35.14/35.34 (define @t453 () (tptp.class_RealVector_Oreal__normed__algebra @t18)) % 35.14/35.34 (define @t454 () (@var "V_xa" $$unsorted)) % 35.14/35.34 (define @t455 () (tptp.hAPP @t330 @t454)) % 35.14/35.34 (define @t456 () (tptp.hAPP @t455 @t61)) % 35.14/35.34 (define @t457 () (@var "V_ya" $$unsorted)) % 35.14/35.34 (define @t458 () (tptp.hAPP @t382 @t457)) % 35.14/35.34 (define @t459 () (tptp.hAPP @t334 @t457)) % 35.14/35.34 (define @t460 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t61 @t164)) % 35.14/35.34 (define @t461 () (@list @t457 @t164 @t61 @t18)) % 35.14/35.34 (define @t462 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 35.14/35.34 (define @t463 () (= @t157 @t462)) % 35.14/35.34 (define @t464 () (= @t159 @t462)) % 35.14/35.34 (define @t465 () (and @t464 @t463)) % 35.14/35.34 (define @t466 () (tptp.hAPP @t424 @t154)) % 35.14/35.34 (define @t467 () (tptp.c_Groups_Oone__class_Oone @t19)) % 35.14/35.34 (define @t468 () (tptp.c_Groups_Oone__class_Oone @t13)) % 35.14/35.34 (define @t469 () (= @t121 @t468)) % 35.14/35.34 (define @t470 () (tptp.class_Rings_Ozero__neq__one @t18)) % 35.14/35.34 (define @t471 () (= (tptp.hAPP (tptp.hAPP @t330 @t450) @t21) @t21)) % 35.14/35.34 (define @t472 () (= (tptp.hAPP @t331 @t450) @t21)) % 35.14/35.34 (define @t473 () (tptp.class_Groups_Omonoid__mult @t18)) % 35.14/35.34 (define @t474 () (tptp.class_Groups_Ocomm__monoid__mult @t18)) % 35.14/35.34 (define @t475 () (tptp.class_Rings_Olinordered__semidom @t18)) % 35.14/35.34 (define @t476 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t450)) % 35.14/35.34 (define @t477 () (tptp.hAPP (tptp.hAPP @t330 @t476) @t154)) % 35.14/35.34 (define @t478 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t450 @t450)) % 35.14/35.34 (define @t479 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t450)) % 35.14/35.34 (define @t480 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t164 @t450)) % 35.14/35.34 (define @t481 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t164)) % 35.14/35.34 (define @t482 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t61)) % 35.14/35.34 (define @t483 () (tptp.class_Rings_Olinordered__idom @t18)) % 35.14/35.34 (define @t484 () (@var "V_v" $$unsorted)) % 35.14/35.34 (define @t485 () (@var "V_u" $$unsorted)) % 35.14/35.34 (define @t486 () (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP (tptp.hAPP @t330 @t485) @t61) (tptp.hAPP (tptp.hAPP @t330 @t484) @t164))) % 35.14/35.34 (define @t487 () (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t485 @t484) @t450)) % 35.14/35.34 (define @t488 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t484)) % 35.14/35.34 (define @t489 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t485)) % 35.14/35.34 (define @t490 () (@list @t484 @t485 @t164 @t21 @t61 @t18)) % 35.14/35.34 (define @t491 () (@list @t164 @t18)) % 35.14/35.34 (define @t492 () (@var "V_b_H" $$unsorted)) % 35.14/35.34 (define @t493 () (tptp.hAPP @t331 @t492)) % 35.14/35.34 (define @t494 () (@list @t492 @t99 @t21 @t18)) % 35.14/35.34 (define @t495 () (tptp.hAPP @t455 @t164)) % 35.14/35.34 (define @t496 () (@list @t164 @t61 @t454 @t18)) % 35.14/35.34 (define @t497 () (@var "V_a_H" $$unsorted)) % 35.14/35.34 (define @t498 () (tptp.hAPP @t330 @t497)) % 35.14/35.34 (define @t499 () (tptp.hAPP @t498 @t99)) % 35.14/35.34 (define @t500 () (@list @t99 @t497 @t21 @t18)) % 35.14/35.34 (define @t501 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t183 @t181)) % 35.14/35.34 (define @t502 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t144)) % 35.14/35.34 (define @t503 () (tptp.c_Polynomial_OpCons @t13 @t468 @t30)) % 35.14/35.34 (define @t504 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t21 @t110)) % 35.14/35.34 (define @t505 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t99 @t110)) % 35.14/35.34 (define @t506 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t21 @t99)) % 35.14/35.34 (define @t507 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t338 @t110)) % 35.14/35.34 (define @t508 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t21 @t355)) % 35.14/35.34 (define @t509 () (tptp.c_Rings_Odvd__class_Odvd @t13 @t121 @t123)) % 35.14/35.34 (define @t510 () (tptp.class_Rings_Ocomm__ring__1 @t13)) % 35.14/35.34 (define @t511 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t39 @t86)) % 35.14/35.34 (define @t512 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t39 @t79)) % 35.14/35.34 (define @t513 () (@list @t21 @t79 @t39 @t18)) % 35.14/35.34 (define @t514 () (tptp.c_Rings_Odvd__class_Odvd @t19 @t68 @t79)) % 35.14/35.34 (define @t515 () (tptp.c_Rings_Odvd__class_Odvd @t13 @t11 @t10)) % 35.14/35.34 (define @t516 () (or (= @t144 @t82) @t515)) % 35.14/35.34 (define @t517 () (tptp.hAPP @t360 @t144)) % 35.14/35.34 (define @t518 () (tptp.hAPP @t517 @t10)) % 35.14/35.34 (define @t519 () (tptp.hAPP @t517 @t11)) % 35.14/35.34 (define @t520 () (tptp.c_Rings_Odvd__class_Odvd @t29 @t8 @t7)) % 35.14/35.34 (define @t521 () (not @t94)) % 35.14/35.34 (define @t522 () (tptp.class_Fields_Ofield @t13)) % 35.14/35.34 (define @t523 () (@list @t7 @t8 @t11 @t13)) % 35.14/35.34 (define @t524 () (tptp.class_Fields_Ofield @t18)) % 35.14/35.34 (define @t525 () (= @t7 @t30)) % 35.14/35.34 (define @t526 () (@var "V_P_2" $$unsorted)) % 35.14/35.34 (define @t527 () (tptp.hBOOL (tptp.hAPP @t526 @t3))) % 35.14/35.34 (define @t528 () (tptp.class_Rings_Odvd @t13)) % 35.14/35.34 (define @t529 () (tptp.c_Power_Opower__class_Opower @t19)) % 35.14/35.34 (define @t530 () (tptp.hAPP @t529 (tptp.c_Polynomial_OpCons @t18 @t72 @t451))) % 35.14/35.34 (define @t531 () (not (tptp.c_Rings_Odvd__class_Odvd @t19 (tptp.hAPP @t530 (tptp.c_Nat_OSuc @t259)) @t39))) % 35.14/35.34 (define @t532 () (tptp.c_Rings_Odvd__class_Odvd @t19 (tptp.hAPP @t530 @t259) @t39)) % 35.14/35.34 (define @t533 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t467) @t105)) % 35.14/35.34 (define @t534 () (not @t153)) % 35.14/35.34 (define @t535 () (@list @t105 @t18)) % 35.14/35.34 (define @t536 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t171 @t169)) % 35.14/35.34 (define @t537 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t154 @t105)) % 35.14/35.34 (define @t538 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t159 @t157)) % 35.14/35.34 (define @t539 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t412 @t411)) % 35.14/35.34 (define @t540 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t196)) % 35.14/35.34 (define @t541 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t105 @t154)) % 35.14/35.34 (define @t542 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t154)) % 35.14/35.34 (define @t543 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t105)) % 35.14/35.34 (define @t544 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t174 @t105)) % 35.14/35.34 (define @t545 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t154 @t105)) % 35.14/35.34 (define @t546 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t174)) % 35.14/35.34 (define @t547 () (tptp.c_Polynomial_Ocoeff @t18 @t39)) % 35.14/35.34 (define @t548 () (tptp.hAPP @t547 @t105)) % 35.14/35.34 (define @t549 () (= @t548 @t74)) % 35.14/35.34 (define @t550 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t105)) % 35.14/35.34 (define @t551 () (@list @t105 @t39 @t18)) % 35.14/35.34 (define @t552 () (tptp.c_Orderings_Oord__class_Oless @t18 @t164 @t61)) % 35.14/35.34 (define @t553 () (tptp.c_Orderings_Oord__class_Oless @t18 @t61 @t164)) % 35.14/35.34 (define @t554 () (not @t553)) % 35.14/35.34 (define @t555 () (not @t165)) % 35.14/35.34 (define @t556 () (=> @t555 (=> @t554 @t552))) % 35.14/35.34 (define @t557 () (tptp.c_Orderings_Oord__class_Oless @t13 @t123 @t121)) % 35.14/35.34 (define @t558 () (tptp.c_Orderings_Oord__class_Oless @t13 @t121 @t123)) % 35.14/35.34 (define @t559 () (not @t286)) % 35.14/35.34 (define @t560 () (tptp.class_Orderings_Olinorder @t13)) % 35.14/35.34 (define @t561 () (not @t558)) % 35.14/35.34 (define @t562 () (= @t561 @t286)) % 35.14/35.34 (define @t563 () (not (= @t164 @t61))) % 35.14/35.34 (define @t564 () (tptp.c_Orderings_Oord__class_Oless @t18 @t99 @t21)) % 35.14/35.34 (define @t565 () (tptp.c_Orderings_Oord__class_Oless @t18 @t21 @t99)) % 35.14/35.34 (define @t566 () (@list @t21 @t99 @t18)) % 35.14/35.34 (define @t567 () (tptp.c_Orderings_Oord__class_Oless @t18 @t21 @t110)) % 35.14/35.34 (define @t568 () (tptp.c_Orderings_Oord__class_Oless @t18 @t99 @t110)) % 35.14/35.34 (define @t569 () (tptp.c_Orderings_Oord__class_Oless @t18 @t110 @t21)) % 35.14/35.34 (define @t570 () (tptp.c_Orderings_Oord__class_Oless @t18 @t61 @t270)) % 35.14/35.34 (define @t571 () (tptp.c_Orderings_Oord__class_Oless @t18 @t164 @t270)) % 35.14/35.34 (define @t572 () (=> @t571 @t570)) % 35.14/35.34 (define @t573 () (tptp.c_Orderings_Oord__class_Oless @t18 @t270 @t61)) % 35.14/35.34 (define @t574 () (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t270 @t164) @t573)) % 35.14/35.34 (define @t575 () (tptp.c_Power_Opower__class_Opower @t18)) % 35.14/35.34 (define @t576 () (tptp.hAPP (tptp.hAPP @t529 @t39) @t105)) % 35.14/35.34 (define @t577 () (tptp.c_Polynomial_Ocoeff @t13 @t8)) % 35.14/35.34 (define @t578 () (tptp.hAPP @t575 @t164)) % 35.14/35.34 (define @t579 () (tptp.hAPP @t575 @t61)) % 35.14/35.34 (define @t580 () (tptp.hAPP @t579 @t79)) % 35.14/35.34 (define @t581 () (tptp.hAPP @t330 @t580)) % 35.14/35.34 (define @t582 () (=> @t262 @t572)) % 35.14/35.34 (define @t583 () (forall @t296 (=> @t254 @t582))) % 35.14/35.34 (define @t584 () (not @t291)) % 35.14/35.34 (define @t585 () (tptp.c_Orderings_Oord__class_Oless @t18 @t137 @t209)) % 35.14/35.34 (define @t586 () (tptp.c_Orderings_Oord__class_Oless @t18 @t141 @t150)) % 35.14/35.34 (define @t587 () (tptp.c_Orderings_Oord__class_Oless @t18 @t141 @t216)) % 35.14/35.34 (define @t588 () (tptp.c_Orderings_Oord__class_Oless @t18 @t110 @t215)) % 35.14/35.34 (define @t589 () (=> @t588 @t587)) % 35.14/35.34 (define @t590 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t18)) % 35.14/35.34 (define @t591 () (tptp.c_Orderings_Oord__class_Oless @t13 @t11 @t10)) % 35.14/35.34 (define @t592 () (tptp.hAPP @t579 @t39)) % 35.14/35.34 (define @t593 () (@list @t79 @t39 @t61 @t18)) % 35.14/35.34 (define @t594 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t157)) % 35.14/35.34 (define @t595 () (not @t158)) % 35.14/35.34 (define @t596 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t171 @t105)) % 35.14/35.34 (define @t597 () (not @t537)) % 35.14/35.34 (define @t598 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t154 @t169)) % 35.14/35.34 (define @t599 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t181 @t174)) % 35.14/35.34 (define @t600 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 @t181)) % 35.14/35.34 (define @t601 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t154)) % 35.14/35.34 (define @t602 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 @t238)) % 35.14/35.34 (define @t603 () (= @t602 (= @t157 @t159))) % 35.14/35.34 (define @t604 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 @t159)) % 35.14/35.34 (define @t605 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t157)) % 35.14/35.34 (define @t606 () (or @t605 @t275)) % 35.14/35.34 (define @t607 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t159 @t239)) % 35.14/35.34 (define @t608 () (@list @t159)) % 35.14/35.34 (define @t609 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t61 @t271)) % 35.14/35.34 (define @t610 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t61 @t164)) % 35.14/35.34 (define @t611 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t174 @t105)) % 35.14/35.34 (define @t612 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t174 @t180)) % 35.14/35.34 (define @t613 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t181 @t183)) % 35.14/35.34 (define @t614 () (not @t188)) % 35.14/35.34 (define @t615 () (not @t275)) % 35.14/35.34 (define @t616 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t159)) % 35.14/35.34 (define @t617 () (tptp.hAPP (tptp.hAPP @t529 (tptp.c_Polynomial_OpCons @t18 @t21 @t451)) @t105)) % 35.14/35.34 (define @t618 () (@list @t105 @t21 @t18)) % 35.14/35.34 (define @t619 () (tptp.hAPP @t579 (tptp.c_Nat_OSuc @t79))) % 35.14/35.34 (define @t620 () (@list @t79 @t61 @t18)) % 35.14/35.34 (define @t621 () (tptp.hAPP @t334 @t580)) % 35.14/35.34 (define @t622 () (tptp.c_Orderings_Oord__class_Oless @t18 @t399 @t398)) % 35.14/35.34 (define @t623 () (tptp.c_Orderings_Oord__class_Oless @t18 @t110 @t74)) % 35.14/35.34 (define @t624 () (tptp.class_Rings_Olinordered__ring__strict @t18)) % 35.14/35.34 (define @t625 () (tptp.c_Orderings_Oord__class_Oless @t18 @t365 @t355)) % 35.14/35.34 (define @t626 () (tptp.c_Orderings_Oord__class_Oless @t18 @t74 @t110)) % 35.14/35.34 (define @t627 () (=> @t565 (=> @t626 @t622))) % 35.14/35.34 (define @t628 () (tptp.class_Rings_Olinordered__semiring__strict @t18)) % 35.14/35.34 (define @t629 () (tptp.c_Orderings_Oord__class_Oless @t18 @t74 @t338)) % 35.14/35.34 (define @t630 () (tptp.c_Orderings_Oord__class_Oless @t18 @t99 @t74)) % 35.14/35.34 (define @t631 () (tptp.c_Orderings_Oord__class_Oless @t18 @t21 @t74)) % 35.14/35.34 (define @t632 () (tptp.c_Orderings_Oord__class_Oless @t18 @t338 @t74)) % 35.14/35.34 (define @t633 () (tptp.c_Orderings_Oord__class_Oless @t18 @t74 @t99)) % 35.14/35.34 (define @t634 () (tptp.c_Orderings_Oord__class_Oless @t13 @t10 @t11)) % 35.14/35.34 (define @t635 () (tptp.c_Orderings_Oord__class_Oless @t13 @t519 @t518)) % 35.14/35.34 (define @t636 () (tptp.c_Orderings_Oord__class_Oless @t13 @t144 @t82)) % 35.14/35.34 (define @t637 () (tptp.c_Orderings_Oord__class_Oless @t18 @t74 @t21)) % 35.14/35.34 (define @t638 () (=> @t637 @t633)) % 35.14/35.34 (define @t639 () (tptp.c_Orderings_Oord__class_Oless @t13 @t82 @t144)) % 35.14/35.34 (define @t640 () (or (and @t639 @t591) (and @t636 @t634))) % 35.14/35.34 (define @t641 () (tptp.c_Orderings_Oord__class_Oless @t18 @t101 @t74)) % 35.14/35.34 (define @t642 () (=> @t630 @t641)) % 35.14/35.34 (define @t643 () (tptp.c_Orderings_Oord__class_Oless @t18 @t74 @t101)) % 35.14/35.34 (define @t644 () (=> @t633 @t643)) % 35.14/35.34 (define @t645 () (tptp.c_Orderings_Oord__class_Oless @t13 @t11 @t82)) % 35.14/35.34 (define @t646 () (= (tptp.c_Orderings_Oord__class_Oless @t13 @t133 @t82) @t645)) % 35.14/35.34 (define @t647 () (tptp.c_Orderings_Oord__class_Oless @t13 @t82 @t11)) % 35.14/35.34 (define @t648 () (tptp.class_Rings_Olinordered__idom @t13)) % 35.14/35.34 (define @t649 () (tptp.c_Orderings_Oord__class_Oless @t18 @t99 @t141)) % 35.14/35.34 (define @t650 () (=> @t568 @t649)) % 35.14/35.34 (define @t651 () (@var "B_j" $$unsorted)) % 35.14/35.34 (define @t652 () (@var "B_m" $$unsorted)) % 35.14/35.34 (define @t653 () (@list @t154 @t183)) % 35.14/35.34 (define @t654 () (tptp.c_Polynomial_Ocoeff @t18 @t41)) % 35.14/35.34 (define @t655 () (and @t540 @t605)) % 35.14/35.34 (define @t656 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t411)) % 35.14/35.34 (define @t657 () (@list @t105 @t39 @t21 @t18)) % 35.14/35.34 (define @t658 () (tptp.c_Polynomial_Ocoeff @t18 @t79)) % 35.14/35.34 (define @t659 () (tptp.hAPP @t658 @t105)) % 35.14/35.34 (define @t660 () (@list @t105 @t79 @t39 @t18)) % 35.14/35.34 (define @t661 () (tptp.hAPP @t658 @t107)) % 35.14/35.34 (define @t662 () (tptp.hAPP @t547 @t50)) % 35.14/35.34 (define @t663 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t107)) % 35.14/35.34 (define @t664 () (=> @t663 (= @t106 @t107))) % 35.14/35.34 (define @t665 () (=> @t80 @t664)) % 35.14/35.34 (define @t666 () (forall @t387 @t665)) % 35.14/35.34 (define @t667 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t519 @t518)) % 35.14/35.34 (define @t668 () (tptp.c_Orderings_Oord__class_Oless @t18 @t365 @t394)) % 35.14/35.34 (define @t669 () (=> @t247 @t668)) % 35.14/35.34 (define @t670 () (=> @t247 @t565)) % 35.14/35.34 (define @t671 () (=> @t625 @t670)) % 35.14/35.34 (define @t672 () (tptp.class_Rings_Olinordered__semiring @t18)) % 35.14/35.34 (define @t673 () (=> @t622 @t670)) % 35.14/35.34 (define @t674 () (=> @t626 @t208)) % 35.14/35.34 (define @t675 () (tptp.c_Nat_OSuc @t229)) % 35.14/35.34 (define @t676 () (tptp.c_Power_Opower__class_Opower @t13)) % 35.14/35.34 (define @t677 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t229 @t154)) % 35.14/35.34 (define @t678 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t229 @t105)) % 35.14/35.34 (define @t679 () (tptp.hAPP @t577 @t307)) % 35.14/35.34 (define @t680 () (=> @t540 @t195)) % 35.14/35.34 (define @t681 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t412 @t411)) % 35.14/35.34 (define @t682 () (tptp.hAPP @t575 @t21)) % 35.14/35.34 (define @t683 () (tptp.hAPP @t682 @t105)) % 35.14/35.34 (define @t684 () (tptp.hAPP @t682 @t154)) % 35.14/35.34 (define @t685 () (tptp.c_Orderings_Oord__class_Oless @t18 @t450 @t21)) % 35.14/35.34 (define @t686 () (@list @t105 @t154 @t21 @t18)) % 35.14/35.34 (define @t687 () (tptp.hAPP @t676 @t10)) % 35.14/35.34 (define @t688 () (tptp.hAPP @t687 @t123)) % 35.14/35.34 (define @t689 () (tptp.hAPP @t687 @t121)) % 35.14/35.34 (define @t690 () (tptp.c_Orderings_Oord__class_Oless @t13 @t468 @t10)) % 35.14/35.34 (define @t691 () (tptp.class_Rings_Olinordered__semidom @t13)) % 35.14/35.34 (define @t692 () (@list @t123 @t121 @t10 @t13)) % 35.14/35.34 (define @t693 () (@var "V_N" $$unsorted)) % 35.14/35.34 (define @t694 () (tptp.hAPP @t682 @t693)) % 35.14/35.34 (define @t695 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t21 @t450)) % 35.14/35.34 (define @t696 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t105 @t693)) % 35.14/35.34 (define @t697 () (@list @t21 @t693 @t105 @t18)) % 35.14/35.34 (define @t698 () (tptp.hAPP @t682 @t169)) % 35.14/35.34 (define @t699 () (tptp.c_Orderings_Oord__class_Oless @t18 @t21 @t450)) % 35.14/35.34 (define @t700 () (tptp.hAPP @t331 @t683)) % 35.14/35.34 (define @t701 () (@list @t61)) % 35.14/35.34 (define @t702 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t61 @t164)) % 35.14/35.34 (define @t703 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t164 @t61)) % 35.14/35.34 (define @t704 () (and @t702 (not @t703))) % 35.14/35.34 (define @t705 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t61 @t270)) % 35.14/35.34 (define @t706 () (and @t705 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t270 @t61)))) % 35.14/35.34 (define @t707 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t164 @t270)) % 35.14/35.34 (define @t708 () (=> (and @t707 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t270 @t164))) @t706)) % 35.14/35.34 (define @t709 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t21 @t99)) % 35.14/35.34 (define @t710 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t99 @t21)) % 35.14/35.34 (define @t711 () (and @t709 (not @t710))) % 35.14/35.34 (define @t712 () (@list @t99 @t21)) % 35.14/35.34 (define @t713 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t21 @t110)) % 35.14/35.34 (define @t714 () (and @t713 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t110 @t21)))) % 35.14/35.34 (define @t715 () (@list @t110 @t99 @t21)) % 35.14/35.34 (define @t716 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t99 @t110)) % 35.14/35.34 (define @t717 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t121 @t123)) % 35.14/35.34 (define @t718 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t123 @t121)) % 35.14/35.34 (define @t719 () (and @t717 (not @t718))) % 35.14/35.34 (define @t720 () (@list @t123 @t121)) % 35.14/35.34 (define @t721 () (@var "V_t" $$unsorted)) % 35.14/35.34 (define @t722 () (@var "V_s" $$unsorted)) % 35.14/35.34 (define @t723 () (tptp.hAPP @t526 @t157)) % 35.14/35.34 (define @t724 () (tptp.hBOOL (tptp.hAPP @t723 @t159))) % 35.14/35.34 (define @t725 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 35.14/35.34 (define @t726 () (tptp.hAPP @t725 @t183)) % 35.14/35.34 (define @t727 () (tptp.hAPP @t726 @t105)) % 35.14/35.34 (define @t728 () (tptp.hAPP @t726 @t154)) % 35.14/35.34 (define @t729 () (@list @t105 @t154 @t183)) % 35.14/35.34 (define @t730 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t121)) % 35.14/35.34 (define @t731 () (tptp.hAPP @t725 @t121)) % 35.14/35.34 (define @t732 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 (tptp.hAPP @t731 @t157))) % 35.14/35.34 (define @t733 () (@list @t157 @t121)) % 35.14/35.34 (define @t734 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 35.14/35.34 (define @t735 () (tptp.hAPP @t734 @t61)) % 35.14/35.34 (define @t736 () (tptp.hAPP @t735 @t164)) % 35.14/35.34 (define @t737 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 35.14/35.34 (define @t738 () (@list @t105 @t183)) % 35.14/35.34 (define @t739 () (tptp.hAPP @t575 @t99)) % 35.14/35.34 (define @t740 () (tptp.hAPP @t739 @t105)) % 35.14/35.34 (define @t741 () (tptp.hAPP @t330 @t683)) % 35.14/35.34 (define @t742 () (@list @t105 @t99 @t21 @t18)) % 35.14/35.34 (define @t743 () (tptp.hAPP @t741 @t21)) % 35.14/35.34 (define @t744 () (tptp.hAPP @t579 @t105)) % 35.14/35.34 (define @t745 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t61 @t164)) % 35.14/35.34 (define @t746 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t450 @t21)) % 35.14/35.34 (define @t747 () (tptp.hAPP @t676 @t11)) % 35.14/35.34 (define @t748 () (tptp.hAPP @t747 @t157)) % 35.14/35.34 (define @t749 () (tptp.class_Power_Opower @t13)) % 35.14/35.34 (define @t750 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t693)) % 35.14/35.34 (define @t751 () (tptp.hAPP @t575 @t74)) % 35.14/35.34 (define @t752 () (tptp.class_Power_Opower @t18)) % 35.14/35.34 (define @t753 () (and @t752 (tptp.class_Rings_Osemiring__0 @t18))) % 35.14/35.34 (define @t754 () (tptp.c_Orderings_Oord__class_Oless @t18 @t683 @t740)) % 35.14/35.34 (define @t755 () (@list @t99 @t105 @t21 @t18)) % 35.14/35.34 (define @t756 () (tptp.hAPP @t739 @t169)) % 35.14/35.34 (define @t757 () (tptp.hAPP @t751 @t105)) % 35.14/35.34 (define @t758 () (tptp.class_Rings_Oring__1 @t18)) % 35.14/35.34 (define @t759 () (@list @t61 @t105 @t18)) % 35.14/35.34 (define @t760 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 35.14/35.34 (define @t761 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 35.14/35.34 (define @t762 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t154 @t105)) % 35.14/35.34 (define @t763 () (tptp.hAPP @t737 @t174)) % 35.14/35.34 (define @t764 () (@var "V_t_2" $$unsorted)) % 35.14/35.34 (define @t765 () (tptp.hAPP @t737 @t196)) % 35.14/35.34 (define @t766 () (tptp.hAPP @t765 @t159)) % 35.14/35.34 (define @t767 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t183 @t181)) % 35.14/35.34 (define @t768 () (@list @t270)) % 35.14/35.34 (define @t769 () (tptp.hAPP @t737 @t270)) % 35.14/35.34 (define @t770 () (@var "V_z2" $$unsorted)) % 35.14/35.34 (define @t771 () (@var "V_w" $$unsorted)) % 35.14/35.34 (define @t772 () (tptp.hAPP @t737 @t771)) % 35.14/35.34 (define @t773 () (@var "V_z1" $$unsorted)) % 35.14/35.34 (define @t774 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t773 @t770)) % 35.14/35.34 (define @t775 () (tptp.hAPP @t737 @t770)) % 35.14/35.34 (define @t776 () (tptp.hAPP @t737 @t773)) % 35.14/35.34 (define @t777 () (@var "V_z3" $$unsorted)) % 35.14/35.34 (define @t778 () (@list @t777 @t770 @t773)) % 35.14/35.34 (define @t779 () (tptp.hAPP @t769 @t771)) % 35.14/35.34 (define @t780 () (@list @t771 @t270)) % 35.14/35.34 (define @t781 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t270)) % 35.14/35.34 (define @t782 () (@var "V_one_2" $$unsorted)) % 35.14/35.34 (define @t783 () (@var "V_times_2" $$unsorted)) % 35.14/35.34 (define @t784 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t13 @t782 @t783) @t11)) % 35.14/35.34 (define @t785 () (@list @t99 @t105 @t21)) % 35.14/35.34 (define @t786 () (@list @t10 @t11 @t157)) % 35.14/35.34 (define @t787 () (@var "V_r_2" $$unsorted)) % 35.14/35.34 (define @t788 () (= @t787 @t30)) % 35.14/35.34 (define @t789 () (= @t123 @t30)) % 35.14/35.34 (define @t790 () (tptp.c_Polynomial_Opos__poly @t13 @t8)) % 35.14/35.34 (define @t791 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t270 @t771)) % 35.14/35.34 (define @t792 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t183 @t181)) % 35.14/35.34 (define @t793 () (@var "V_r2" $$unsorted)) % 35.14/35.34 (define @t794 () (@var "V_r1" $$unsorted)) % 35.14/35.34 (define @t795 () (= @t794 @t793)) % 35.14/35.34 (define @t796 () (@var "V_q2" $$unsorted)) % 35.14/35.34 (define @t797 () (@var "V_q1" $$unsorted)) % 35.14/35.34 (define @t798 () (= @t797 @t796)) % 35.14/35.34 (define @t799 () (tptp.c_Polynomial_Opdivmod__rel @t18 @t61 @t164 @t796 @t793)) % 35.14/35.34 (define @t800 () (tptp.c_Polynomial_Opdivmod__rel @t18 @t61 @t164 @t797 @t794)) % 35.14/35.34 (define @t801 () (@list @t793 @t796 @t794 @t797 @t164 @t61 @t18)) % 35.14/35.34 (define @t802 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t771 @t270)) % 35.14/35.34 (define @t803 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t760 @t270)) % 35.14/35.34 (define @t804 () (tptp.c_Polynomial_Osmult @t18 @t21 @t61)) % 35.14/35.34 (define @t805 () (tptp.c_Polynomial_Opdivmod__rel @t18 @t61 @t164 @t79 @t257)) % 35.14/35.34 (define @t806 () (@var "V_z_H" $$unsorted)) % 35.14/35.34 (define @t807 () (@var "V_w_H" $$unsorted)) % 35.14/35.34 (define @t808 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t105 @t154)) % 35.14/35.34 (define @t809 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t369 @t764)) % 35.14/35.34 (define @t810 () (@list @t764 @t369)) % 35.14/35.34 (define @t811 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t154)) % 35.14/35.34 (define @t812 () (@list @t315)) % 35.14/35.34 (define @t813 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t359 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t315 @t760))) % 35.14/35.34 (define @t814 () (@list @t315 @t359)) % 35.14/35.34 (define @t815 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t359 @t315)) % 35.14/35.34 (define @t816 () (tptp.c_Polynomial_Opos__poly @t18 @t79)) % 35.14/35.34 (define @t817 () (tptp.c_Polynomial_Opos__poly @t18 @t39)) % 35.14/35.34 (define @t818 () (@var "V_r_H" $$unsorted)) % 35.14/35.34 (define @t819 () (tptp.hAPP @t325 @t164)) % 35.14/35.34 (define @t820 () (@var "V_q_H" $$unsorted)) % 35.14/35.34 (define @t821 () (tptp.hAPP @t737 @t21)) % 35.14/35.34 (define @t822 () (= @t21 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t257 (tptp.hAPP @t821 @t79)))) % 35.14/35.34 (define @t823 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t761 @t21)) % 35.14/35.34 (define @t824 () (@list @t79 @t257 @t21)) % 35.14/35.34 (define @t825 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t257)) % 35.14/35.34 (define @t826 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t761 @t492)) % 35.14/35.34 (define @t827 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t818 @t492)) % 35.14/35.34 (define @t828 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t737 @t492) @t820) @t818)) % 35.14/35.34 (define @t829 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t828)) % 35.14/35.34 (define @t830 () (@list @t818 @t820 @t492)) % 35.14/35.34 (define @t831 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t270)) % 35.14/35.34 (define @t832 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t270 @t771)) % 35.14/35.34 (define @t833 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t820 @t79)) % 35.14/35.34 (define @t834 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t492 @t99)) % 35.14/35.34 (define @t835 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t818)) % 35.14/35.34 (define @t836 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t257 @t99)) % 35.14/35.34 (define @t837 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t828 @t761)) % 35.14/35.34 (define @t838 () (tptp.hAPP @t737 @t99)) % 35.14/35.34 (define @t839 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t838 @t79) @t257)) % 35.14/35.34 (define @t840 () (= @t839 @t828)) % 35.14/35.34 (define @t841 () (@list @t818 @t820 @t492 @t257 @t79 @t99)) % 35.14/35.34 (define @t842 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t79 @t820)) % 35.14/35.34 (define @t843 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t838 @t820) @t818) @t839)) % 35.14/35.34 (define @t844 () (@list @t257 @t79 @t818 @t820 @t99)) % 35.14/35.34 (define @t845 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t61)) % 35.14/35.34 (define @t846 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t164)) % 35.14/35.34 (define @t847 () (@var "B_i" $$unsorted)) % 35.14/35.34 (define @t848 () (= (tptp.hAPP @t547 @t847) @t74)) % 35.14/35.34 (define @t849 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t847)) % 35.14/35.34 (define @t850 () (@list @t847)) % 35.14/35.34 (define @t851 () (@list @t39 @t105 @t18)) % 35.14/35.34 (define @t852 () (tptp.c_Polynomial_Opoly__gcd @t18 @t61 @t164)) % 35.14/35.34 (define @t853 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t852) (tptp.c_Polynomial_Odegree @t18 @t852))) % 35.14/35.34 (define @t854 () (= @t164 @t20)) % 35.14/35.34 (define @t855 () (and (= @t61 @t20) @t854)) % 35.14/35.34 (define @t856 () (not @t855)) % 35.14/35.34 (define @t857 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t61)) % 35.14/35.34 (define @t858 () (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t164)) % 35.14/35.34 (define @t859 () (tptp.c_Polynomial_Opoly__gcd @t13 @t121 @t123)) % 35.14/35.34 (define @t860 () (tptp.c_Polynomial_Opoly__gcd @t18 @t21 @t99)) % 35.14/35.34 (define @t861 () (tptp.c_Polynomial_Opoly__gcd @t18 @t21 (tptp.c_Polynomial_Opoly__gcd @t18 @t99 @t110))) % 35.14/35.34 (define @t862 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t215) (tptp.c_Polynomial_Odegree @t18 @t215))) % 35.14/35.34 (define @t863 () (tptp.c_Polynomial_Odegree @t18 @t61)) % 35.14/35.34 (define @t864 () (tptp.c_Polynomial_Osmult @t18 (tptp.c_Rings_Oinverse__class_Oinverse @t18 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t61) @t863)) @t61)) % 35.14/35.34 (define @t865 () (tptp.c_Rings_Oinverse__class_Oinverse @t18 @t21)) % 35.14/35.34 (define @t866 () (tptp.c_Rings_Oinverse__class_Oinverse @t18 @t99)) % 35.14/35.34 (define @t867 () (tptp.c_Rings_Oinverse__class_Oinverse @t18 @t338)) % 35.14/35.34 (define @t868 () (tptp.class_Rings_Odivision__ring @t18)) % 35.14/35.34 (define @t869 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t18 @t72) (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t865))) % 35.14/35.34 (define @t870 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t18 @t683) (tptp.hAPP (tptp.hAPP @t575 @t865) @t105))) % 35.14/35.34 (define @t871 () (tptp.class_Rings_Odivision__ring__inverse__zero @t18)) % 35.14/35.34 (define @t872 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t18 @t74) @t74)) % 35.14/35.34 (define @t873 () (tptp.c_Rings_Oinverse__class_Oinverse @t13 @t11)) % 35.14/35.34 (define @t874 () (tptp.class_Rings_Odivision__ring__inverse__zero @t13)) % 35.14/35.34 (define @t875 () (= @t865 @t74)) % 35.14/35.34 (define @t876 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t18 @t865) @t21)) % 35.14/35.34 (define @t877 () (= @t865 @t866)) % 35.14/35.34 (define @t878 () (tptp.hAPP @t330 @t865)) % 35.14/35.34 (define @t879 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t865 @t866)) % 35.14/35.34 (define @t880 () (=> @t76 (= (tptp.hAPP @t878 @t21) @t450))) % 35.14/35.34 (define @t881 () (tptp.c_Polynomial_Osmult @t18 @t21 @t164)) % 35.14/35.34 (define @t882 () (tptp.class_Fields_Olinordered__field @t18)) % 35.14/35.34 (define @t883 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t121 @t82)) % 35.14/35.34 (define @t884 () (tptp.c_Rings_Oinverse__class_Oinverse @t13 @t121)) % 35.14/35.34 (define @t885 () (tptp.class_Fields_Olinordered__field__inverse__zero @t13)) % 35.14/35.34 (define @t886 () (tptp.class_Fields_Ofield__inverse__zero @t18)) % 35.14/35.34 (define @t887 () (tptp.c_Orderings_Oord__class_Oless @t18 @t74 @t865)) % 35.14/35.34 (define @t888 () (tptp.c_Orderings_Oord__class_Oless @t18 @t865 @t74)) % 35.14/35.34 (define @t889 () (tptp.c_Orderings_Oord__class_Oless @t18 @t866 @t865)) % 35.14/35.34 (define @t890 () (tptp.c_Orderings_Oord__class_Oless @t18 @t865 @t866)) % 35.14/35.34 (define @t891 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t865 @t866)) % 35.14/35.34 (define @t892 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t866 @t865)) % 35.14/35.34 (define @t893 () (tptp.c_Orderings_Oord__class_Oless @t13 @t82 @t121)) % 35.14/35.34 (define @t894 () (tptp.c_Divides_Odiv__class_Omod @t19 @t61 @t164)) % 35.14/35.34 (define @t895 () (not @t854)) % 35.14/35.34 (define @t896 () (=> @t895 (= @t852 (tptp.c_Polynomial_Opoly__gcd @t18 @t164 @t894)))) % 35.14/35.34 (define @t897 () (@var "B_z" $$unsorted)) % 35.14/35.34 (define @t898 () (@list @t164 @t61 @t21 @t18)) % 35.14/35.34 (define @t899 () (tptp.c_Polynomial_Odegree @t18 @t164)) % 35.14/35.34 (define @t900 () (tptp.c_Divides_Odiv__class_Omod @t18 @t99 @t110)) % 35.14/35.34 (define @t901 () (tptp.c_Divides_Odiv__class_Omod @t18 @t338 @t110)) % 35.14/35.34 (define @t902 () (tptp.class_Divides_Osemiring__div @t18)) % 35.14/35.34 (define @t903 () (tptp.c_Divides_Odiv__class_Omod @t18 @t21 @t110)) % 35.14/35.34 (define @t904 () (tptp.hAPP @t330 @t903)) % 35.14/35.34 (define @t905 () (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t904 @t99) @t110)) % 35.14/35.34 (define @t906 () (tptp.c_Divides_Odiv__class_Omod @t18 @t21 @t99)) % 35.14/35.34 (define @t907 () (= @t900 (tptp.c_Divides_Odiv__class_Omod @t18 @t492 @t110))) % 35.14/35.34 (define @t908 () (= @t903 (tptp.c_Divides_Odiv__class_Omod @t18 @t497 @t110))) % 35.14/35.34 (define @t909 () (@list @t492 @t99 @t497 @t110 @t21 @t18)) % 35.14/35.34 (define @t910 () (tptp.class_Divides_Osemiring__div @t13)) % 35.14/35.34 (define @t911 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t174 (tptp.c_Divides_Odiv__class_Omod @t18 @t154 @t105))) % 35.14/35.34 (define @t912 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t174 @t105)) % 35.14/35.34 (define @t913 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t174 @t154)) % 35.14/35.34 (define @t914 () (@list @t105 @t154 @t174 @t18)) % 35.14/35.34 (define @t915 () (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t900) @t110)) % 35.14/35.34 (define @t916 () (tptp.c_Divides_Odiv__class_Omod @t18 @t101 @t110)) % 35.14/35.34 (define @t917 () (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.c_Groups_Oplus__class_Oplus @t18 @t903 @t99) @t110)) % 35.14/35.34 (define @t918 () (tptp.c_Divides_Odiv__class_Omod @t18 @t72 @t99)) % 35.14/35.34 (define @t919 () (tptp.class_Divides_Oring__div @t18)) % 35.14/35.34 (define @t920 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t61 @t154)) % 35.14/35.34 (define @t921 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t154 @t105)) % 35.14/35.34 (define @t922 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t821 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t99 @t110)) @t110)) % 35.14/35.34 (define @t923 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t821 @t99) @t110)) % 35.14/35.34 (define @t924 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t154 @t105)) % 35.14/35.34 (define @t925 () (= @t921 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t924 @t105))) % 35.14/35.34 (define @t926 () (tptp.c_Groups_Ominus__class_Ominus @t18 @t21 @t99)) % 35.14/35.34 (define @t927 () (tptp.c_Divides_Odiv__class_Omod @t18 @t926 @t110)) % 35.14/35.34 (define @t928 () (tptp.c_Nat_OSuc @t921)) % 35.14/35.34 (define @t929 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t171 @t105)) % 35.14/35.34 (define @t930 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t154 @t105)) % 35.14/35.34 (define @t931 () (@var "V_f" $$unsorted)) % 35.14/35.34 (define @t932 () (=> @t537 (= @t921 @t154))) % 35.14/35.34 (define @t933 () (=> @t597 @t925)) % 35.14/35.34 (define @t934 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t99)) % 35.14/35.34 (define @t935 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t99 @t761)) % 35.14/35.34 (define @t936 () (@list @t21 @t99)) % 35.14/35.34 (define @t937 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t934 @t99)) % 35.14/35.34 (define @t938 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t761 @t99)) % 35.14/35.34 (define @t939 () (= @t928 @t105)) % 35.14/35.34 (define @t940 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t21)) % 35.14/35.34 (define @t941 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t99)) % 35.14/35.34 (define @t942 () (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t174 @t180) @t761))) % 35.14/35.34 (define @t943 () (@list @t180 @t174)) % 35.14/35.34 (define @t944 () (@list @t47)) % 35.14/35.34 (define @t945 () (@list @t369 @t159)) % 35.14/35.34 (define @t946 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t421 @t154)) % 35.14/35.34 (define @t947 () (@list @t154 @t105 @t174)) % 35.14/35.34 (define @t948 () (tptp.c_Groups_Ominus__class_Ominus @t13 @t11 @t10)) % 35.14/35.34 (define @t949 () (= @t924 @t44)) % 35.14/35.34 (define @t950 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t171 @t105)) % 35.14/35.34 (define @t951 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t157 @t196)) % 35.14/35.34 (define @t952 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t159 @t196)) % 35.14/35.34 (define @t953 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t196 @t157)) % 35.14/35.34 (define @t954 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t196 @t159)) % 35.14/35.34 (define @t955 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t174 @t154)) % 35.14/35.34 (define @t956 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t174 @t924)) % 35.14/35.34 (define @t957 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t181 @t174)) % 35.14/35.34 (define @t958 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 @t181)) % 35.14/35.34 (define @t959 () (@list @t183 @t181 @t174)) % 35.14/35.34 (define @t960 () (@var "V_i_2" $$unsorted)) % 35.14/35.34 (define @t961 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t960 @t196)) % 35.14/35.34 (define @t962 () (@var "V_j_2" $$unsorted)) % 35.14/35.34 (define @t963 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t962 @t196)) % 35.14/35.34 (define @t964 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t105 @t924) @t154)) % 35.14/35.34 (define @t965 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t501 @t174)) % 35.14/35.34 (define @t966 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t183 @t957)) % 35.14/35.34 (define @t967 () (@list @t196 @t962 @t960)) % 35.14/35.34 (define @t968 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t613 @t174)) % 35.14/35.34 (define @t969 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t957 @t183)) % 35.14/35.34 (define @t970 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t180 @t154)) % 35.14/35.34 (define @t971 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t180 @t105)) % 35.14/35.34 (define @t972 () (@list @t180 @t105 @t154)) % 35.14/35.34 (define @t973 () (= @t948 (tptp.c_Groups_Ominus__class_Ominus @t13 @t144 @t369))) % 35.14/35.34 (define @t974 () (tptp.c_Groups_Ominus__class_Ominus @t18 @t61 @t164)) % 35.14/35.34 (define @t975 () (tptp.c_Groups_Ominus__class_Ominus @t19 @t39 @t79)) % 35.14/35.34 (define @t976 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t183 @t181) @t174)) % 35.14/35.34 (define @t977 () (@var "V_B_2" $$unsorted)) % 35.14/35.34 (define @t978 () (tptp.c_Groups_Ominus__class_Ominus @t18 @t99 @t21)) % 35.14/35.34 (define @t979 () (= @t948 @t82)) % 35.14/35.34 (define @t980 () (= @t926 (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t226))) % 35.14/35.34 (define @t981 () (@var "V_e_2" $$unsorted)) % 35.14/35.34 (define @t982 () (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP (tptp.hAPP @t360 (tptp.c_Groups_Ominus__class_Ominus @t13 @t10 @t11)) @t981) @t369)) % 35.14/35.34 (define @t983 () (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t367 @t981) @t369)) % 35.14/35.34 (define @t984 () (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t370 @t981) @t144)) % 35.14/35.34 (define @t985 () (= @t984 @t983)) % 35.14/35.34 (define @t986 () (tptp.class_Rings_Oring @t13)) % 35.14/35.34 (define @t987 () (@list @t369 @t10 @t144 @t981 @t11 @t13)) % 35.14/35.34 (define @t988 () (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP (tptp.hAPP @t360 @t948) @t981) @t144)) % 35.14/35.34 (define @t989 () (tptp.hAPP @t330 (tptp.c_Groups_Ominus__class_Ominus @t18 @t61 @t21))) % 35.14/35.34 (define @t990 () (tptp.hAPP @t989 @t99)) % 35.14/35.34 (define @t991 () (tptp.c_Groups_Ominus__class_Ominus @t18 @t164 @t99)) % 35.14/35.34 (define @t992 () (tptp.c_Groups_Ominus__class_Ominus @t18 @t374 @t338)) % 35.14/35.34 (define @t993 () (@list @t99 @t21 @t164 @t61 @t18)) % 35.14/35.34 (define @t994 () (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t984 @t983)) % 35.14/35.34 (define @t995 () (tptp.class_Rings_Oordered__ring @t13)) % 35.14/35.34 (define @t996 () (tptp.c_Orderings_Oord__class_Oless @t13 @t984 @t983)) % 35.14/35.34 (define @t997 () (@var "V_D_2" $$unsorted)) % 35.14/35.34 (define @t998 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t934)) % 35.14/35.34 (define @t999 () (@var "T" $$unsorted)) % 35.14/35.34 (define @t1000 () (tptp.class_Rings_Ocomm__semiring__0 @t999)) % 35.14/35.34 (define @t1001 () (@list @t999)) % 35.14/35.34 (define @t1002 () (tptp.class_Groups_Ocomm__monoid__add @t999)) % 35.14/35.34 (define @t1003 () (forall @t1001 (=> @t1000 @t1002))) % 35.14/35.34 (define @t1004 () (tptp.class_Groups_Ozero @t999)) % 35.14/35.34 (define @t1005 () (forall @t1001 (=> @t1000 @t1004))) % 35.14/35.34 (define @t1006 () (@var "T_1" $$unsorted)) % 35.14/35.34 (define @t1007 () (tptp.tc_Polynomial_Opoly @t1006)) % 35.14/35.34 (define @t1008 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1006)) % 35.14/35.34 (define @t1009 () (@list @t1006)) % 35.14/35.34 (define @t1010 () (@var "T_2" $$unsorted)) % 35.14/35.34 (define @t1011 () (tptp.tc_fun @t1010 @t1006)) % 35.14/35.34 (define @t1012 () (tptp.class_Enum_Oenum @t1010)) % 35.14/35.34 (define @t1013 () (@list @t1006 @t1010)) % 35.14/35.34 (define @t1014 () (@list @t1010 @t1006)) % 35.14/35.34 (define @t1015 () (tptp.class_HOL_Oequal @t1006)) % 35.14/35.34 (define @t1016 () (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 35.14/35.34 (define @t1017 () (tptp.class_Rings_Oidom @t1006)) % 35.14/35.34 (define @t1018 () (tptp.class_Rings_Olinordered__idom @t1006)) % 35.14/35.34 (define @t1019 () (tptp.class_Rings_Ocomm__semiring__0 @t1006)) % 35.14/35.34 (define @t1020 () (tptp.class_Rings_Ocomm__semiring__1 @t1006)) % 35.14/35.34 (define @t1021 () (tptp.class_Groups_Ocomm__monoid__add @t1006)) % 35.14/35.34 (define @t1022 () (tptp.class_Fields_Ofield @t1006)) % 35.14/35.34 (define @t1023 () (tptp.class_Groups_Oab__group__add @t1006)) % 35.14/35.34 (define @t1024 () (tptp.class_Rings_Ocomm__ring__1 @t1006)) % 35.14/35.34 (define @t1025 () (tptp.class_Rings_Ocomm__ring @t1006)) % 35.14/35.34 (define @t1026 () (tptp.class_Groups_Ozero @t1006)) % 35.14/35.34 (define @t1027 () (tptp.hBOOL (tptp.c_fequal @t121 @t123))) % 35.14/35.34 (define @t1028 () (tptp.c_Polynomial_Odegree tptp.t_a tptp.v_p)) % 35.14/35.34 (define @t1029 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly tptp.t_a tptp.v_p tptp.v_h)) % 35.14/35.34 (define @t1030 () (tptp.c_Polynomial_Odegree tptp.t_a @t1029)) % 35.14/35.34 (define @t1031 () (= @t1030 @t1028)) % 35.14/35.34 (define @t1032 () (tptp.c_Polynomial_OpCons tptp.t_a tptp.v_a tptp.v_p)) % 35.14/35.34 (define @t1033 () (tptp.c_Polynomial_Odegree tptp.t_a @t1032)) % 35.14/35.34 (define @t1034 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly tptp.t_a @t1032 tptp.v_h)) % 35.14/35.34 (define @t1035 () (tptp.c_Polynomial_Odegree tptp.t_a @t1034)) % 35.14/35.34 (define @t1036 () (= @t1035 @t1033)) % 35.14/35.34 (define @t1037 () (tptp.class_Rings_Ocomm__semiring__0 tptp.t_a)) % 35.14/35.34 (define @t1038 () (tptp.c_Polynomial_OpCons tptp.t_a tptp.v_a @t1029)) % 35.14/35.34 (define @t1039 () (tptp.c_Polynomial_Osmult tptp.t_a tptp.v_h @t1029)) % 35.14/35.34 (define @t1040 () (tptp.tc_Polynomial_Opoly tptp.t_a)) % 35.14/35.34 (define @t1041 () (tptp.c_Groups_Oplus__class_Oplus @t1040 @t1039 @t1038)) % 35.14/35.34 (define @t1042 () (= @t1034 @t1041)) % 35.14/35.34 (define @t1043 () (not @t1037)) % 35.14/35.34 (define @t1044 () (or @t1043 @t1042)) % 35.14/35.34 (define @t1045 () (@list false false)) % 35.14/35.34 (define @t1046 () (= @t20 @t39)) % 35.14/35.34 (define @t1047 () (not @t45)) % 35.14/35.34 (define @t1048 () (or @t1047 @t1046 @t53)) % 35.14/35.34 (define @t1049 () (not @t1046)) % 35.14/35.34 (define @t1050 () (=> @t1049 @t53)) % 35.14/35.34 (define @t1051 () (tptp.c_Nat_OSuc @t1028)) % 35.14/35.34 (define @t1052 () (= @t1033 @t1051)) % 35.14/35.34 (define @t1053 () (tptp.c_Groups_Ozero__class_Ozero @t1040)) % 35.14/35.34 (define @t1054 () (tptp.class_Groups_Ozero tptp.t_a)) % 35.14/35.34 (define @t1055 () (not @t1054)) % 35.14/35.34 (define @t1056 () (or @t1055 (= @t1053 tptp.v_p) @t1052)) % 35.14/35.34 (define @t1057 () (forall @t58 @t1048)) % 35.14/35.34 (define @t1058 () (= tptp.v_p @t1053)) % 35.14/35.34 (define @t1059 () (or @t1055 @t1058 @t1052)) % 35.14/35.34 (define @t1060 () (@list false)) % 35.14/35.34 (define @t1061 () (@list @t1057)) % 35.14/35.34 (define @t1062 () (@list tptp.t_a)) % 35.14/35.34 (define @t1063 () (or @t1043 @t1054)) % 35.14/35.34 (define @t1064 () (= @t22 @t24)) % 35.14/35.34 (define @t1065 () (tptp.c_Polynomial_OpCons tptp.t_a tptp.v_a @t1053)) % 35.14/35.34 (define @t1066 () (= @t1065 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly tptp.t_a @t1065 tptp.v_h))) % 35.14/35.34 (define @t1067 () (or @t1043 @t1066)) % 35.14/35.34 (define @t1068 () (and @t1058 @t1066)) % 35.14/35.34 (define @t1069 () (not @t1058)) % 35.14/35.34 (define @t1070 () (@list true false false)) % 35.14/35.34 (define @t1071 () (tptp.c_Nat_OSuc @t1030)) % 35.14/35.34 (define @t1072 () (tptp.c_Polynomial_Odegree tptp.t_a @t1038)) % 35.14/35.34 (define @t1073 () (= @t1072 @t1071)) % 35.14/35.34 (define @t1074 () (= @t1053 @t1029)) % 35.14/35.34 (define @t1075 () (or @t1055 @t1074 @t1073)) % 35.14/35.34 (define @t1076 () (= @t1029 @t1053)) % 35.14/35.34 (define @t1077 () (or @t1055 @t1076 @t1073)) % 35.14/35.34 (define @t1078 () (= @t30 @t33)) % 35.14/35.34 (define @t1079 () (= @t31 @t1078)) % 35.14/35.34 (define @t1080 () (= @t1058 @t1074)) % 35.14/35.34 (define @t1081 () (or @t1043 @t1080)) % 35.14/35.34 (define @t1082 () (forall @t37 (or (not @t35) @t1079))) % 35.14/35.34 (define @t1083 () (= @t1058 @t1076)) % 35.14/35.34 (define @t1084 () (or @t1043 @t1083)) % 35.14/35.34 (define @t1085 () (not @t1076)) % 35.14/35.34 (define @t1086 () (= @t107 @t106)) % 35.14/35.34 (define @t1087 () (not @t663)) % 35.14/35.34 (define @t1088 () (not @t80)) % 35.14/35.34 (define @t1089 () (=> @t663 @t1086)) % 35.14/35.34 (define @t1090 () (not @t571)) % 35.14/35.34 (define @t1091 () (not @t254)) % 35.14/35.34 (define @t1092 () (or @t300 @t1090 @t570)) % 35.14/35.34 (define @t1093 () (tptp.c_Polynomial_Odegree tptp.t_a @t1039)) % 35.14/35.34 (define @t1094 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1030 @t1051)) % 35.14/35.34 (define @t1095 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1093 @t1030)) % 35.14/35.34 (define @t1096 () (or @t1043 @t1095)) % 35.14/35.34 (define @t1097 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1093 @t1051)) % 35.14/35.34 (define @t1098 () (not @t1094)) % 35.14/35.34 (define @t1099 () (not @t1095)) % 35.14/35.34 (define @t1100 () (not @t1016)) % 35.14/35.34 (define @t1101 () (or @t1100 @t1099 @t1098 @t1097)) % 35.14/35.34 (define @t1102 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1093 @t1072)) % 35.14/35.34 (define @t1103 () (and @t1031 @t1073 @t1097)) % 35.14/35.35 (define @t1104 () (not @t1073)) % 35.14/35.35 (define @t1105 () (not @t1031)) % 35.14/35.35 (define @t1106 () (@list false false false)) % 35.14/35.35 (define @t1107 () (tptp.class_Groups_Ocomm__monoid__add tptp.t_a)) % 35.14/35.35 (define @t1108 () (or @t1043 @t1107)) % 35.14/35.35 (define @t1109 () (= @t1072 (tptp.c_Polynomial_Odegree tptp.t_a @t1041))) % 35.14/35.35 (define @t1110 () (not @t1102)) % 35.14/35.35 (define @t1111 () (not @t1107)) % 35.14/35.35 (define @t1112 () (or @t1111 @t1110 @t1109)) % 35.14/35.35 (define @t1113 () (and @t1031 @t1042 @t1052 @t1073 @t1109)) % 35.14/35.35 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 35.14/35.35 (assume @p2 (forall @t17 (=> @t16 (= (= @t15 @t14) (and @t12 @t9))))) % 35.14/35.35 (assume @p3 @t28) % 35.14/35.35 (assume @p4 (forall (@list @t23 @t18) (=> @t25 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t18 @t20 @t23) @t20)))) % 35.14/35.35 (assume @p5 @t38) % 35.14/35.35 (assume @p6 @t43) % 35.14/35.35 (assume @p7 (forall @t46 (=> @t45 (= (tptp.c_Polynomial_Odegree @t18 @t22) @t44)))) % 35.14/35.35 (assume @p8 (forall @t49 (=> @t45 (not (forall (@list @t48 @t47) (not (= @t39 (tptp.c_Polynomial_OpCons @t18 @t48 @t47)))))))) % 35.14/35.35 (assume @p9 @t59) % 35.14/35.35 (assume @p10 (forall @t60 (=> @t45 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t52 @t51)))) % 35.14/35.35 (assume @p11 (forall (@list @t61 @t23 @t39 @t18) (=> @t25 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t40) @t61) (tptp.hAPP @t62 (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 @t61)))))) % 35.14/35.35 (assume @p12 (forall @t49 (=> @t64 (= (tptp.c_Polynomial_Odegree @t18 @t63) @t50)))) % 35.14/35.35 (assume @p13 (forall @t17 (=> @t66 (= (tptp.c_HOL_Oequal__class_Oequal @t29 @t15 @t14) (and (tptp.c_HOL_Oequal__class_Oequal @t13 @t11 @t10) @t65))))) % 35.14/35.35 (assume @p14 (forall @t67 (=> @t45 (= (tptp.c_Polynomial_Odegree @t18 @t20) @t44)))) % 35.14/35.35 (assume @p15 (forall @t67 (=> @t64 (= (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t20) @t20)))) % 35.14/35.35 (assume @p16 @t71) % 35.14/35.35 (assume @p17 (forall @t60 (=> @t64 (= (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t41) (tptp.c_Polynomial_OpCons @t18 @t72 @t63))))) % 35.14/35.35 (assume @p18 (forall (@list @t39 @t21 @t13) (=> @t73 (= (tptp.c_Groups_Ouminus__class_Ouminus @t29 (tptp.c_Polynomial_OpCons @t13 @t21 @t39)) (tptp.c_Polynomial_OpCons @t13 (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t21) (tptp.c_Groups_Ouminus__class_Ouminus @t29 @t39)))))) % 35.14/35.35 (assume @p19 (forall @t60 (=> @t77 (and (=> @t75 (= @t69 @t44)) (=> @t76 (= @t69 @t50)))))) % 35.14/35.35 (assume @p20 (forall @t67 (=> @t45 (= (tptp.c_Polynomial_OpCons @t18 @t74 @t20) @t20)))) % 35.14/35.35 (assume @p21 (forall @t67 (=> (and @t45 (tptp.class_HOL_Oequal @t18)) (tptp.c_HOL_Oequal__class_Oequal @t19 @t20 @t20)))) % 35.14/35.35 (assume @p22 (forall @t78 (=> @t25 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t20) @t61) @t74)))) % 35.14/35.35 (assume @p23 (forall @t49 (=> @t25 (= (tptp.c_Polynomial_Osmult @t18 @t74 @t39) @t20)))) % 35.14/35.35 (assume @p24 (forall @t81 (=> @t80 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t20 @t79) @t79)))) % 35.14/35.35 (assume @p25 (forall (@list @t7 @t10 @t13) (=> @t66 (= (tptp.c_HOL_Oequal__class_Oequal @t29 @t30 @t14) (and (tptp.c_HOL_Oequal__class_Oequal @t13 @t82 @t10) (tptp.c_HOL_Oequal__class_Oequal @t29 @t30 @t7)))))) % 35.14/35.35 (assume @p26 (forall @t46 (=> @t25 (= (tptp.c_Polynomial_Osmult @t18 @t21 @t20) @t20)))) % 35.14/35.35 (assume @p27 (forall @t49 (=> @t80 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t39 @t20) @t39)))) % 35.14/35.35 (assume @p28 (forall @t83 (=> @t66 (= @t65 @t9)))) % 35.14/35.35 (assume @p29 (forall @t60 (=> @t85 (= (tptp.c_Polynomial_Osmult @t18 @t21 @t63) @t84)))) % 35.14/35.35 (assume @p30 (forall @t88 (=> @t25 (= (tptp.c_Polynomial_Osmult @t18 @t21 @t87) (tptp.c_Groups_Oplus__class_Oplus @t19 @t68 @t86))))) % 35.14/35.35 (assume @p31 (forall (@list @t61 @t39 @t18) (=> @t85 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t63) @t61) (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t89))))) % 35.14/35.35 (assume @p32 (forall @t60 (=> @t85 (= (tptp.c_Polynomial_Osmult @t18 @t72 @t39) @t84)))) % 35.14/35.35 (assume @p33 (forall @t93 (=> @t92 (= (= @t90 (tptp.c_Polynomial_Opoly @t13 @t30)) @t31)))) % 35.14/35.35 (assume @p34 (forall @t83 (=> @t92 (= (= @t90 (tptp.c_Polynomial_Opoly @t13 @t7)) @t9)))) % 35.14/35.35 (assume @p35 (forall @t95 (=> @t16 (= (= @t15 @t30) (and @t94 @t31))))) % 35.14/35.35 (assume @p36 (forall @t95 (=> @t91 (= (= @t96 @t30) (or @t94 @t31))))) % 35.14/35.35 (assume @p37 (forall @t95 (=> @t66 (= (tptp.c_HOL_Oequal__class_Oequal @t29 @t15 @t30) (and (tptp.c_HOL_Oequal__class_Oequal @t13 @t11 @t82) (tptp.c_HOL_Oequal__class_Oequal @t29 @t8 @t30)))))) % 35.14/35.35 (assume @p38 (forall @t98 (=> @t25 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t87) @t61) (tptp.c_Groups_Oplus__class_Oplus @t18 @t89 @t97))))) % 35.14/35.35 (assume @p39 (forall @t102 (=> @t25 (= (tptp.c_Polynomial_Osmult @t18 @t101 @t39) (tptp.c_Groups_Oplus__class_Oplus @t19 @t68 @t100))))) % 35.14/35.35 (assume @p40 (forall @t104 (=> @t80 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t41 @t103) (tptp.c_Polynomial_OpCons @t18 @t101 @t87))))) % 35.14/35.35 (assume @p41 (forall @t109 (=> @t80 (=> @t108 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t107 @t105) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t106 @t105)))))) % 35.14/35.35 (assume @p42 (forall @t112 (=> @t25 (=> (= @t111 @t41) @t54)))) % 35.14/35.35 (assume @p43 (forall @t112 (=> @t25 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t111 @t41) @t20) @t54)))) % 35.14/35.35 (assume @p44 (forall @t58 (=> @t45 (and (=> @t54 (= @t52 @t44)) @t56)))) % 35.14/35.35 (assume @p45 (forall @t113 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t44 @t105))) % 35.14/35.35 (assume @p46 (forall @t46 (=> @t114 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t72) @t74)))) % 35.14/35.35 (assume @p47 (forall @t119 (=> @t118 (= @t117 (= @t115 @t82))))) % 35.14/35.35 (assume @p48 (forall @t46 (=> @t114 @t120))) % 35.14/35.35 (assume @p49 (forall @t46 (=> @t64 @t120))) % 35.14/35.35 (assume @p50 (forall @t125 (=> @t118 (= @t124 (= @t123 @t122))))) % 35.14/35.35 (assume @p51 (forall @t126 (=> @t114 (=> (= @t101 @t74) (= @t72 @t99))))) % 35.14/35.35 (assume @p52 (forall @t130 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t82 @t128) @t127)))) % 35.14/35.35 (assume @p53 (forall @t130 (=> @t131 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t11 @t128) @t127)))) % 35.14/35.35 (assume @p54 (forall @t130 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t128 @t82) @t132)))) % 35.14/35.35 (assume @p55 (forall @t130 (=> @t131 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t128 @t11) @t132)))) % 35.14/35.35 (assume @p56 (forall @t130 (=> @t131 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t82 @t133) @t132)))) % 35.14/35.35 (assume @p57 (forall @t135 (=> @t16 (= (= @t82 @t121) @t134)))) % 35.14/35.35 (assume @p58 (forall @t140 (=> @t139 (=> (= @t138 @t137) @t136)))) % 35.14/35.35 (assume @p59 (forall @t143 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t18) @t142))) % 35.14/35.35 (assume @p60 (forall @t143 (=> @t139 @t142))) % 35.14/35.35 (assume @p61 (forall (@list @t144 @t11 @t10 @t13) (=> @t148 (= (= @t147 @t146) @t145)))) % 35.14/35.35 (assume @p62 (forall (@list @t144 @t10 @t11 @t13) (=> @t148 (= (= @t115 @t149) @t145)))) % 35.14/35.35 (assume @p63 (forall @t143 (=> (tptp.class_Groups_Oab__semigroup__add @t18) @t152))) % 35.14/35.35 (assume @p64 (forall @t156 (=> (= @t155 @t154) @t153))) % 35.14/35.35 (assume @p65 (forall @t162 (= (= @t161 @t44) (and @t160 @t158)))) % 35.14/35.35 (assume @p66 (forall @t163 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t44) @t154))) % 35.14/35.35 (assume @p67 (forall @t113 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t44 @t105) @t105))) % 35.14/35.35 (assume @p68 (forall @t119 (=> @t118 (= (= @t128 @t116) @t12)))) % 35.14/35.35 (assume @p69 (forall @t119 (=> @t118 (= (= @t128 @t10) (= @t116 @t11))))) % 35.14/35.35 (assume @p70 (forall @t119 (=> @t118 (= @t117 (= @t10 @t128))))) % 35.14/35.35 (assume @p71 (forall @t46 (=> @t114 (= (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t72) @t21)))) % 35.14/35.35 (assume @p72 (forall @t166 (=> (= (tptp.c_Nat_OSuc @t61) (tptp.c_Nat_OSuc @t164)) @t165))) % 35.14/35.35 (assume @p73 (forall (@list @t167 @t168) (= (= (tptp.c_Nat_OSuc @t168) (tptp.c_Nat_OSuc @t167)) (= @t168 @t167)))) % 35.14/35.35 (assume @p74 (forall @t156 (= @t172 @t170))) % 35.14/35.35 (assume @p75 (forall @t156 (= @t172 @t173))) % 35.14/35.35 (assume @p76 (forall @t156 (= @t170 @t173))) % 35.14/35.35 (assume @p77 (forall @t113 (not (= @t169 @t105)))) % 35.14/35.35 (assume @p78 (forall @t113 (not (= @t105 @t169)))) % 35.14/35.35 (assume @p79 (forall @t179 (=> @t178 (not (=> @t176 (not @t175)))))) % 35.14/35.35 (assume @p80 (forall @t179 (=> @t178 @t176))) % 35.14/35.35 (assume @p81 (forall @t179 (=> @t178 @t175))) % 35.14/35.35 (assume @p82 (forall @t187 (=> @t186 (=> @t185 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t184 @t182))))) % 35.14/35.35 (assume @p83 (forall @t156 (=> @t176 (=> @t189 @t188)))) % 35.14/35.35 (assume @p84 (forall @t190 (=> @t186 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t181 @t174) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t183 @t174))))) % 35.14/35.35 (assume @p85 (forall @t190 (=> @t186 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t184 @t191)))) % 35.14/35.35 (assume @p86 (forall @t193 (=> @t186 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t183 @t192)))) % 35.14/35.35 (assume @p87 (forall @t193 (=> @t186 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t183 @t194)))) % 35.14/35.35 (assume @p88 (forall @t156 (=> @t188 @t176))) % 35.14/35.35 (assume @p89 (forall @t199 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t198 @t197) @t195))) % 35.14/35.35 (assume @p90 (forall @t156 (or @t176 @t189))) % 35.14/35.35 (assume @p91 (forall @t162 (= @t195 (exists @t202 (= @t157 @t201))))) % 35.14/35.35 (assume @p92 (forall @t204 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t105 @t203))) % 35.14/35.35 (assume @p93 (forall @t204 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t105 @t155))) % 35.14/35.35 (assume @p94 (forall @t113 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t105 @t105))) % 35.14/35.35 (assume @p95 (forall @t46 (=> @t80 @t205))) % 35.14/35.35 (assume @p96 (forall @t46 (=> @t206 @t205))) % 35.14/35.35 (assume @p97 (forall @t130 (=> @t131 (= (= @t82 @t133) @t94)))) % 35.14/35.35 (assume @p98 (forall @t46 (=> @t80 @t207))) % 35.14/35.35 (assume @p99 (forall @t46 (=> @t206 @t207))) % 35.14/35.35 (assume @p100 (forall @t212 (=> @t211 (=> @t210 @t208)))) % 35.14/35.35 (assume @p101 (forall @t214 (=> @t211 (=> @t213 @t208)))) % 35.14/35.35 (assume @p102 (forall @t219 (=> @t218 (=> @t208 (=> @t217 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t141 @t216)))))) % 35.14/35.35 (assume @p103 (forall @t143 (=> @t218 (=> @t208 @t210)))) % 35.14/35.35 (assume @p104 (forall @t143 (=> @t218 (=> @t208 @t213)))) % 35.14/35.35 (assume @p105 (forall @t223 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t146 @t221) @t220)))) % 35.14/35.35 (assume @p106 (forall @t225 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t149 @t224) @t220)))) % 35.14/35.35 (assume @p107 (forall @t130 (=> @t131 (= (= @t128 @t11) @t94)))) % 35.14/35.35 (assume @p108 (forall @t130 (=> @t118 (= (= @t128 @t82) @t94)))) % 35.14/35.35 (assume @p109 (forall @t130 (=> @t131 (= (= @t11 @t128) @t94)))) % 35.14/35.35 (assume @p110 (forall @t130 (=> @t118 (= (= @t82 @t128) (= @t82 @t11))))) % 35.14/35.35 (assume @p111 (forall @t67 (=> @t114 (= (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t74) @t74)))) % 35.14/35.35 (assume @p112 (forall @t126 (=> (tptp.class_Groups_Oordered__ab__group__add @t18) (=> @t208 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t226 @t72))))) % 35.14/35.35 (assume @p113 (forall @t227 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t116 @t128) @t220)))) % 35.14/35.35 (assume @p114 (forall @t119 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t128 @t10) (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t116 @t11))))) % 35.14/35.35 (assume @p115 (forall @t119 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t11 @t116) (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t10 @t128))))) % 35.14/35.35 (assume @p116 (forall @t126 (=> @t114 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t72 @t101) @t99)))) % 35.14/35.35 (assume @p117 (forall @t126 (=> @t114 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 (tptp.c_Groups_Oplus__class_Oplus @t18 @t72 @t99)) @t99)))) % 35.14/35.35 (assume @p118 (forall @t126 (=> @t114 (= @t228 (tptp.c_Groups_Oplus__class_Oplus @t18 @t226 @t72))))) % 35.14/35.35 (assume @p119 (forall @t126 (=> @t64 (= @t228 (tptp.c_Groups_Oplus__class_Oplus @t18 @t72 @t226))))) % 35.14/35.35 (assume @p120 (forall @t163 (not (= @t171 @t44)))) % 35.14/35.35 (assume @p121 (forall @t163 (not (= @t44 @t171)))) % 35.14/35.35 (assume @p122 (forall @t162 (= (= @t161 @t229) @t232))) % 35.14/35.35 (assume @p123 (forall @t162 (= (= @t229 @t161) @t232))) % 35.14/35.35 (assume @p124 (forall (@list @t233) (not (= (tptp.c_Nat_OSuc @t233) @t44)))) % 35.14/35.35 (assume @p125 (forall (@list @t234) (not (= @t44 (tptp.c_Nat_OSuc @t234))))) % 35.14/35.35 (assume @p126 (forall @t235 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157 @t44) @t158))) % 35.14/35.35 (assume @p127 (forall @t156 (=> @t236 @t176))) % 35.14/35.35 (assume @p128 (forall @t156 (=> @t237 (=> (not @t176) (= @t154 @t169))))) % 35.14/35.35 (assume @p129 (forall @t156 (=> @t176 @t237))) % 35.14/35.35 (assume @p130 (forall @t240 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t239 @t238) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157 @t159)))) % 35.14/35.35 (assume @p131 (forall @t162 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t159 @t239) (or @t195 (= @t159 @t239))))) % 35.14/35.35 (assume @p132 (forall @t162 (= (not @t195) @t241))) % 35.14/35.35 (assume @p133 (forall @t113 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t169 @t105)))) % 35.14/35.35 (assume @p134 (forall @t126 (=> @t244 (=> @t243 (=> @t242 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t101 @t74)))))) % 35.14/35.35 (assume @p135 (forall @t248 (=> @t244 (=> @t247 (=> @t246 @t245))))) % 35.14/35.35 (assume @p136 (forall @t143 (=> @t244 (=> @t250 (=> @t249 @t245))))) % 35.14/35.35 (assume @p137 (forall @t125 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t13) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t82 @t121) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t82 @t123) (= @t124 @t252)))))) % 35.14/35.35 (assume @p138 (forall @t126 (=> @t244 (=> @t250 (=> @t253 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t101)))))) % 35.14/35.35 (assume @p139 (forall @t130 (=> @t131 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t133 @t82) @t127)))) % 35.14/35.35 (assume @p140 (forall (@list @t11 @t8 @t13) (=> @t91 (= (= (tptp.hAPP @t90 @t11) @t82) (or @t31 (not (= (tptp.c_Polynomial_Oorder @t13 @t11 @t8) @t44))))))) % 35.14/35.35 (assume @p141 (forall @t78 (=> @t254 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t61 @t61)))) % 35.14/35.35 (assume @p142 (forall (@list @t257 @t79 @t110 @t39 @t18) (=> @t25 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t39 (tptp.c_Polynomial_Osmult @t18 @t110 @t79)) (tptp.c_Polynomial_OpCons @t18 @t257 @t79)) (and (= @t257 @t256) (= @t79 @t255)))))) % 35.14/35.35 (assume @p143 (forall (@list @t110 @t39 @t18) (=> @t25 (= (tptp.c_Groups_Oplus__class_Oplus @t19 @t39 (tptp.c_Polynomial_Osmult @t18 @t110 @t255)) @t258)))) % 35.14/35.35 (assume @p144 (forall @t58 (=> @t77 (=> @t55 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t259 @t50))))) % 35.14/35.35 (assume @p145 (forall @t264 (=> @t263 (=> @t262 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t261 @t260))))) % 35.14/35.35 (assume @p146 (forall @t125 (=> @t267 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t122 @t266) @t265)))) % 35.14/35.35 (assume @p147 (forall @t130 (=> @t131 (= (= @t133 @t82) @t94)))) % 35.14/35.35 (assume @p148 (forall @t227 (=> @t268 (= (= @t10 @t147) @t94)))) % 35.14/35.35 (assume @p149 (forall @t46 (=> @t269 @t205))) % 35.14/35.35 (assume @p150 (forall @t156 (= @t155 @t203))) % 35.14/35.35 (assume @p151 (forall @t272 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t61 @t271) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t164 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t61 @t270))))) % 35.14/35.35 (assume @p152 (forall @t274 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t155 @t174) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t273)))) % 35.14/35.35 (assume @p153 (forall @t199 (= (= @t198 @t197) @t275))) % 35.14/35.35 (assume @p154 (forall @t277 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t159 @t196) @t276) @t275))) % 35.14/35.35 (assume @p155 (forall (@list @t110 @t18) (=> @t25 (= (tptp.c_Polynomial_Osynthetic__div @t18 @t20 @t110) @t20)))) % 35.14/35.35 (assume @p156 (forall @t282 (=> @t281 (= @t280 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t278 @t5 @t4)))))) % 35.14/35.35 (assume @p157 (forall @t264 (=> @t284 (or @t262 @t283)))) % 35.14/35.35 (assume @p158 (forall @t125 (=> @t287 (= @t286 (and @t285 @t265))))) % 35.14/35.35 (assume @p159 (forall @t264 (=> @t254 (=> @t165 @t262)))) % 35.14/35.35 (assume @p160 (forall (@list @t121 @t1 @t2 @t13 @t278) (=> @t281 (=> @t280 (tptp.c_Orderings_Oord__class_Oless__eq @t278 (tptp.hAPP @t2 @t121) (tptp.hAPP @t1 @t121)))))) % 35.14/35.35 (assume @p161 (forall @t289 (=> @t287 (=> @t265 @t288)))) % 35.14/35.35 (assume @p162 (forall @t143 (=> @t292 (=> @t291 (=> @t249 @t290))))) % 35.14/35.35 (assume @p163 (forall @t143 (=> @t294 (=> @t291 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t110 @t99) @t293))))) % 35.14/35.35 (assume @p164 (forall @t143 (=> @t292 (=> @t208 (=> @t136 @t290))))) % 35.14/35.35 (assume @p165 (forall @t140 (=> @t294 (=> @t246 (=> @t136 @t293))))) % 35.14/35.35 (assume @p166 (forall @t264 (=> @t294 (=> @t262 (=> @t283 @t165))))) % 35.14/35.35 (assume @p167 (forall @t296 (=> @t254 (=> @t262 (=> @t295 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t61 @t270)))))) % 35.14/35.35 (assume @p168 (forall @t297 (=> @t294 (=> @t283 (=> @t262 @t165))))) % 35.14/35.35 (assume @p169 (forall @t299 (=> @t294 (=> @t283 (=> @t298 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t270 @t61)))))) % 35.14/35.35 (assume @p170 (forall @t264 (=> @t284 (=> @t300 @t283)))) % 35.14/35.35 (assume @p171 (forall (@list @t110 @t21 @t18) (=> @t269 (= @t141 @t137)))) % 35.14/35.35 (assume @p172 (forall @t303 (=> @t269 (= @t302 (tptp.c_Groups_Oplus__class_Oplus @t18 @t110 (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t215)))))) % 35.14/35.35 (assume @p173 (forall @t303 (=> @t269 (= @t302 (tptp.c_Groups_Oplus__class_Oplus @t18 @t141 @t215))))) % 35.14/35.35 (assume @p174 (forall @t143 (=> @t269 @t152))) % 35.14/35.35 (assume @p175 (forall @t143 (=> @t269 (= @t151 (tptp.c_Groups_Oplus__class_Oplus @t18 @t141 @t99))))) % 35.14/35.35 (assume @p176 (forall @t219 (=> @t269 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t101 @t301) (tptp.c_Groups_Oplus__class_Oplus @t18 @t141 @t216))))) % 35.14/35.35 (assume @p177 (forall @t78 (=> @t263 (= (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t260) @t61)))) % 35.14/35.35 (assume @p178 (forall (@list @t121 @t304 @t278 @t13) (=> (tptp.class_Groups_Ouminus @t13) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t306 @t304) @t121) (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t305))))) % 35.14/35.35 (assume @p179 (forall @t125 (=> @t267 (= (= @t122 @t266) @t286)))) % 35.14/35.35 (assume @p180 (forall (@list @t110 @t39 @t21 @t18) (=> @t25 (= (tptp.c_Polynomial_Osynthetic__div @t18 @t41 @t110) @t258)))) % 35.14/35.35 (assume @p181 (forall @t308 (=> @t35 (= (= (tptp.c_Polynomial_Osynthetic__div @t13 @t8 @t144) @t30) (= @t307 @t44))))) % 35.14/35.35 (assume @p182 (forall @t46 (=> @t269 @t207))) % 35.14/35.35 (assume @p183 (forall (@list @t310 @t196) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t196 @t310) (exists @t311 (= @t310 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t196 @t309)))))) % 35.14/35.35 (assume @p184 (forall @t272 (=> @t313 @t312))) % 35.14/35.35 (assume @p185 (forall @t314 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t61 @t270) @t312))) % 35.14/35.35 (assume @p186 (forall (@list @t8 @t11 @t13 @t315 @t2 @t278) (=> @t321 (=> @t320 (= @t318 (tptp.hAPP @t317 @t316)))))) % 35.14/35.35 (assume @p187 (forall @t324 (= (tptp.c_Nat_Onat_Onat__size @t323) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Onat_Onat__size @t322) @t229)))) % 35.14/35.35 (assume @p188 (forall (@list @t8 @t11 @t2 @t315 @t13 @t278) (=> @t321 (= @t318 (tptp.hAPP @t317 (tptp.c_If @t13 (tptp.c_fequal @t8 @t319) @t315 @t316)))))) % 35.14/35.35 (assume @p189 (forall @t329 (=> @t25 (= (tptp.hAPP @t326 (tptp.c_Polynomial_OpCons @t18 @t21 @t79)) (tptp.c_Groups_Oplus__class_Oplus @t19 @t68 @t328))))) % 35.14/35.35 (assume @p190 (forall @t88 (=> @t25 (= (tptp.hAPP (tptp.hAPP @t325 @t41) @t79) (tptp.c_Groups_Oplus__class_Oplus @t19 @t86 @t328))))) % 35.14/35.35 (assume @p191 (forall @t46 (=> @t333 (= @t332 @t21)))) % 35.14/35.35 (assume @p192 (forall @t78 (=> @t333 (= @t335 @t61)))) % 35.14/35.35 (assume @p193 (forall @t126 (=> @t269 (= @t338 @t337)))) % 35.14/35.35 (assume @p194 (forall @t126 (=> @t333 (= (tptp.hAPP @t331 @t338) @t338)))) % 35.14/35.35 (assume @p195 (forall @t346 (=> @t269 (= @t345 (tptp.hAPP @t343 (tptp.hAPP @t341 @t339)))))) % 35.14/35.35 (assume @p196 (forall @t346 (=> @t269 (= @t345 (tptp.hAPP @t347 @t339))))) % 35.14/35.35 (assume @p197 (forall @t352 (=> @t269 (= @t351 (tptp.hAPP @t341 (tptp.hAPP @t349 @t342)))))) % 35.14/35.35 (assume @p198 (forall @t352 (=> @t269 (= @t351 (tptp.hAPP @t347 @t348))))) % 35.14/35.35 (assume @p199 (forall @t354 (=> @t269 (= @t353 (tptp.hAPP @t341 (tptp.hAPP @t349 @t344)))))) % 35.14/35.35 (assume @p200 (forall @t354 (=> @t269 (= @t353 (tptp.hAPP @t343 (tptp.hAPP @t350 @t339)))))) % 35.14/35.35 (assume @p201 (forall @t354 (=> @t269 (= @t353 (tptp.hAPP @t347 (tptp.hAPP @t349 @t339)))))) % 35.14/35.35 (assume @p202 (forall @t98 (=> @t25 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t327) @t61) (tptp.hAPP (tptp.hAPP @t330 @t89) @t97))))) % 35.14/35.35 (assume @p203 (forall @t143 (=> (tptp.class_Groups_Oab__semigroup__mult @t18) (= (tptp.hAPP (tptp.hAPP @t330 @t338) @t110) (tptp.hAPP @t331 @t355))))) % 35.14/35.35 (assume @p204 (forall @t46 (=> @t269 @t356))) % 35.14/35.35 (assume @p205 (forall @t46 (=> @t269 @t358))) % 35.14/35.35 (assume @p206 (forall (@list @t315 @t121 @t123 @t359 @t13) (=> @t268 (= (= (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t362 @t123) (tptp.hAPP @t361 @t315)) (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t362 @t315) (tptp.hAPP @t361 @t123))) (or (= @t359 @t121) (= @t123 @t315)))))) % 35.14/35.35 (assume @p207 (forall (@list @t99 @t154 @t21 @t18) (=> @t269 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t364 (tptp.hAPP @t336 @t154)) (tptp.hAPP @t363 @t154))))) % 35.14/35.35 (assume @p208 (forall @t143 (=> @t269 @t366))) % 35.14/35.35 (assume @p209 (forall @t373 (=> @t268 (= (and (not @t12) (not @t372)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t371 (tptp.hAPP @t367 @t369)) (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t370 @t369) @t368))))))) % 35.14/35.35 (assume @p210 (forall @t296 (=> @t269 (= (tptp.hAPP @t334 (tptp.c_Groups_Oplus__class_Oplus @t18 @t164 @t270)) (tptp.c_Groups_Oplus__class_Oplus @t18 @t374 (tptp.hAPP @t334 @t270)))))) % 35.14/35.35 (assume @p211 (forall @t49 (=> @t25 (= (tptp.hAPP @t326 @t20) @t20)))) % 35.14/35.35 (assume @p212 (forall @t81 (=> @t25 (= (tptp.hAPP (tptp.hAPP @t325 @t20) @t79) @t20)))) % 35.14/35.35 (assume @p213 (forall @t102 (=> @t25 (= (tptp.c_Polynomial_Osmult @t18 @t21 @t100) (tptp.c_Polynomial_Osmult @t18 @t338 @t39))))) % 35.14/35.35 (assume @p214 (forall @t88 (=> @t25 (= (tptp.hAPP (tptp.hAPP @t325 @t68) @t79) @t375)))) % 35.14/35.35 (assume @p215 (forall @t329 (=> @t25 (= (tptp.hAPP @t326 @t86) @t375)))) % 35.14/35.35 (assume @p216 (forall (@list @t257 @t79 @t39 @t18) (=> @t25 (= (tptp.hAPP (tptp.hAPP @t325 @t87) @t257) (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t326 @t257) (tptp.hAPP @t376 @t257)))))) % 35.14/35.35 (assume @p217 (= (tptp.c_Nat_Onat_Onat__size @t44) @t44)) % 35.14/35.35 (assume @p218 (forall (@list @t215 @t110 @t99 @t21 @t257 @t18) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t18) (=> (not (= @t257 @t74)) (=> (and @t291 (not (= @t110 @t215))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 (tptp.hAPP @t377 @t110)) (tptp.c_Groups_Oplus__class_Oplus @t18 @t99 (tptp.hAPP @t377 @t215))))))))) % 35.14/35.35 (assume @p219 (forall @t125 (=> @t380 (= (= @t379 @t82) @t252)))) % 35.14/35.35 (assume @p220 (forall @t102 (=> @t25 (= (tptp.c_Polynomial_Osmult @t18 @t21 (tptp.c_Polynomial_OpCons @t18 @t99 @t39)) (tptp.c_Polynomial_OpCons @t18 @t338 @t68))))) % 35.14/35.35 (assume @p221 (forall @t381 (=> @t25 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t68) @t61) (tptp.hAPP @t331 @t89))))) % 35.14/35.35 (assume @p222 (forall @t125 (=> @t380 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t379 @t82) @t252)))) % 35.14/35.35 (assume @p223 (forall @t264 (=> @t384 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t383)))) % 35.14/35.35 (assume @p224 (forall @t387 (=> @t25 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t386 @t385)))) % 35.14/35.35 (assume @p225 (forall @t387 (=> @t77 (=> @t55 (=> @t388 (= @t386 @t385)))))) % 35.14/35.35 (assume @p226 (forall @t381 (=> @t25 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t41) @t61) (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 (tptp.hAPP @t334 @t89)))))) % 35.14/35.35 (assume @p227 (forall (@list @t13 @t315 @t2 @t278) (=> @t321 (=> @t320 (= (tptp.c_Polynomial_Opoly__rec @t13 @t278 @t315 @t2 @t319) @t315))))) % 35.14/35.35 (assume @p228 (forall @t88 (=> @t25 (= (tptp.c_Polynomial_Opcompose @t18 @t41 @t79) (tptp.c_Groups_Oplus__class_Oplus @t19 @t22 (tptp.hAPP @t376 @t389)))))) % 35.14/35.35 (assume @p229 (forall @t126 (=> @t391 (=> (or (and @t250 @t242) (and @t243 @t253)) @t390)))) % 35.14/35.35 (assume @p230 (forall @t126 (=> @t393 (=> (or (and @t250 @t253) (and @t243 @t242)) @t392)))) % 35.14/35.35 (assume @p231 (forall @t219 (=> @t396 (=> @t208 (=> @t217 (=> @t253 @t395)))))) % 35.14/35.35 (assume @p232 (forall @t219 (=> @t396 (=> @t208 (=> @t217 (=> @t250 @t395)))))) % 35.14/35.35 (assume @p233 (forall @t140 (=> @t393 (=> @t246 (=> @t401 @t400))))) % 35.14/35.35 (assume @p234 (forall @t140 (=> @t393 (=> @t246 (=> @t401 @t402))))) % 35.14/35.35 (assume @p235 (forall @t143 (=> (tptp.class_Rings_Oordered__comm__semiring @t18) @t403))) % 35.14/35.35 (assume @p236 (forall @t113 (= (tptp.hAPP (tptp.hAPP @t404 @t44) @t105) @t44))) % 35.14/35.35 (assume @p237 (forall @t163 (= (tptp.hAPP @t405 @t44) @t44))) % 35.14/35.35 (assume @p238 (forall @t162 (= (= @t407 @t44) (or @t160 @t158)))) % 35.14/35.35 (assume @p239 (forall @t199 (= @t413 @t409))) % 35.14/35.35 (assume @p240 (forall @t277 (= (= @t416 @t415) @t409))) % 35.14/35.35 (assume @p241 (forall @t199 (= (= @t419 @t418) @t275))) % 35.14/35.35 (assume @p242 (forall @t423 (= (tptp.hAPP @t420 @t155) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t422 @t421)))) % 35.14/35.35 (assume @p243 (forall @t274 (= (tptp.hAPP (tptp.hAPP @t404 @t155) @t174) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t426 @t425)))) % 35.14/35.35 (assume @p244 (forall @t163 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t154 @t427))) % 35.14/35.35 (assume @p245 (forall @t163 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t154 (tptp.hAPP @t405 @t427)))) % 35.14/35.35 (assume @p246 (forall @t190 (=> @t186 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t431 @t429)))) % 35.14/35.35 (assume @p247 (forall @t190 (=> @t186 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t433 @t432)))) % 35.14/35.35 (assume @p248 (forall @t187 (=> @t186 (=> @t185 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t431 (tptp.hAPP @t428 @t180)))))) % 35.14/35.35 (assume @p249 (forall @t387 (=> @t25 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t18 @t389) (tptp.hAPP @t434 @t107))))) % 35.14/35.35 (assume @p250 (forall @t162 (= (= @t407 @t229) (and @t231 @t230)))) % 35.14/35.35 (assume @p251 (forall @t156 (= (tptp.hAPP @t405 @t169) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t435)))) % 35.14/35.35 (assume @p252 (forall @t156 (= (tptp.hAPP (tptp.hAPP @t404 @t171) @t105) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t105 @t435)))) % 35.14/35.35 (assume @p253 (forall @t199 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t419 @t418) @t195))) % 35.14/35.35 (assume @p254 (forall @t81 (=> @t25 (= (tptp.c_Polynomial_Opcompose @t18 @t20 @t79) @t20)))) % 35.14/35.35 (assume @p255 (forall @t98 (=> @t25 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t389) @t61) (tptp.hAPP @t62 @t97))))) % 35.14/35.35 (assume @p256 (forall @t162 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t229 @t407) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t229 @t159) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t229 @t157))))) % 35.14/35.35 (assume @p257 (forall @t126 (=> @t438 (=> @t437 (or @t75 @t436))))) % 35.14/35.35 (assume @p258 (forall @t126 (=> @t438 (=> @t76 (=> @t439 (not @t437)))))) % 35.14/35.35 (assume @p259 (forall @t119 (=> (tptp.class_Rings_Oring__no__zero__divisors @t13) (= (= @t440 @t82) (or @t94 (= @t10 @t82)))))) % 35.14/35.35 (assume @p260 (forall @t46 (=> @t441 @t356))) % 35.14/35.35 (assume @p261 (forall @t46 (=> @t441 @t358))) % 35.14/35.35 (assume @p262 (forall (@list @t110 @t99 @t442 @t21 @t18) (=> (tptp.class_Rings_Osemiring @t18) (= (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP @t331 @t442) (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP @t336 @t442) @t110)) (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP @t363 @t442) @t110))))) % 35.14/35.35 (assume @p263 (forall @t143 (=> (tptp.class_Rings_Ocomm__semiring @t18) @t366))) % 35.14/35.35 (assume @p264 (forall @t119 (=> @t91 (= (= (tptp.hAPP @t370 @t11) (tptp.hAPP @t367 @t10)) (or @t12 @t117))))) % 35.14/35.35 (assume @p265 (forall @t126 (=> @t444 (= (tptp.hAPP @t443 @t226) @t338)))) % 35.14/35.35 (assume @p266 (forall @t126 (=> @t444 (= @t446 @t445)))) % 35.14/35.35 (assume @p267 (forall @t126 (=> @t444 (= @t447 @t446)))) % 35.14/35.35 (assume @p268 (forall @t126 (=> @t444 (= @t447 @t445)))) % 35.14/35.35 (assume @p269 (forall @t46 (=> @t384 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t332)))) % 35.14/35.35 (assume @p270 (forall @t119 (=> @t380 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t82 @t440) (or (and @t132 @t449) (and @t127 @t448)))))) % 35.14/35.35 (assume @p271 (forall @t119 (=> @t380 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t440 @t82) (or (and @t132 @t448) (and @t127 @t449)))))) % 35.14/35.35 (assume @p272 (forall @t126 (=> @t391 (=> @t250 (=> @t253 @t392))))) % 35.14/35.35 (assume @p273 (forall @t126 (=> @t391 (=> @t250 (=> @t242 @t390))))) % 35.14/35.35 (assume @p274 (forall @t126 (=> @t391 (=> @t250 (=> @t242 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t337 @t74)))))) % 35.14/35.35 (assume @p275 (forall @t126 (=> @t391 (=> @t243 (=> @t253 @t390))))) % 35.14/35.35 (assume @p276 (forall @t126 (=> @t393 (=> @t243 (=> @t242 @t392))))) % 35.14/35.35 (assume @p277 (forall @t143 (=> @t396 (=> @t208 (=> @t247 @t402))))) % 35.14/35.35 (assume @p278 (forall @t143 (=> @t396 @t403))) % 35.14/35.35 (assume @p279 (forall (@list @t39 @t110 @t18) (=> @t452 (= (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP (tptp.hAPP @t325 (tptp.c_Polynomial_OpCons @t18 (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t110) @t451)) @t255) (tptp.c_Polynomial_OpCons @t18 @t256 @t20)) @t39)))) % 35.14/35.35 (assume @p280 (forall @t324 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t323) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t322) @t229)))) % 35.14/35.35 (assume @p281 (forall @t264 (=> @t453 (= (tptp.hAPP (tptp.hAPP @t330 @t260) @t164) (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t374))))) % 35.14/35.35 (assume @p282 (forall @t126 (=> @t453 (= @t446 @t447)))) % 35.14/35.35 (assume @p283 (forall (@list @t61 @t454 @t18) (=> @t453 (= (tptp.hAPP @t455 @t260) (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t456))))) % 35.14/35.35 (assume @p284 (forall @t126 (=> @t453 (= @t445 @t447)))) % 35.14/35.35 (assume @p285 (forall @t461 (=> @t453 (= (tptp.hAPP (tptp.hAPP @t330 @t460) @t457) (tptp.c_Groups_Oplus__class_Oplus @t18 @t459 @t458))))) % 35.14/35.35 (assume @p286 (forall @t113 (= (tptp.hAPP (tptp.hAPP @t404 @t462) @t105) @t105))) % 35.14/35.35 (assume @p287 (forall @t162 (= (= @t462 @t407) @t465))) % 35.14/35.35 (assume @p288 (forall @t113 (= (tptp.hAPP @t424 @t462) @t105))) % 35.14/35.35 (assume @p289 (forall @t156 (= @t435 @t466))) % 35.14/35.35 (assume @p290 (forall @t162 (= (= @t407 @t462) @t465))) % 35.14/35.35 (assume @p291 (forall @t274 (= (tptp.hAPP (tptp.hAPP @t404 @t435) @t174) (tptp.hAPP @t405 @t425)))) % 35.14/35.35 (assume @p292 (forall @t78 (=> @t269 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t467) @t61) @t450)))) % 35.14/35.35 (assume @p293 (forall @t135 (=> (tptp.class_Groups_Oone @t13) (= (= @t468 @t121) @t469)))) % 35.14/35.35 (assume @p294 (forall @t113 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t105) @t105))) % 35.14/35.35 (assume @p295 (forall @t67 (=> @t269 (= @t467 @t451)))) % 35.14/35.35 (assume @p296 (forall @t67 (=> @t470 (not (= @t450 @t74))))) % 35.14/35.35 (assume @p297 (forall @t67 (=> @t470 (not (= @t74 @t450))))) % 35.14/35.35 (assume @p298 (forall @t46 (=> @t269 @t471))) % 35.14/35.35 (assume @p299 (forall @t46 (=> @t269 @t472))) % 35.14/35.35 (assume @p300 (forall @t46 (=> @t473 @t471))) % 35.14/35.35 (assume @p301 (forall @t46 (=> @t474 @t471))) % 35.14/35.35 (assume @p302 (forall @t46 (=> @t473 @t472))) % 35.14/35.35 (assume @p303 (forall @t46 (=> @t474 @t472))) % 35.14/35.35 (assume @p304 (forall @t156 (=> (= @t154 @t435) (or (= @t105 @t462) (= @t154 @t44))))) % 35.14/35.35 (assume @p305 (forall @t49 (=> @t269 (= (tptp.c_Polynomial_Osmult @t18 @t450 @t39) @t39)))) % 35.14/35.35 (assume @p306 (forall @t67 (=> @t475 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t450)))) % 35.14/35.35 (assume @p307 (forall @t67 (=> @t475 (not (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t450 @t74))))) % 35.14/35.35 (assume @p308 (forall (@list @t154 @t21 @t18) (=> @t269 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t364 @t154) @t477)))) % 35.14/35.35 (assume @p309 (forall (@list @t21 @t154 @t18) (=> @t269 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t154 @t364) @t477)))) % 35.14/35.35 (assume @p310 (forall (@list @t154 @t18) (=> @t269 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t154 @t154) (tptp.hAPP (tptp.hAPP @t330 @t478) @t154))))) % 35.14/35.35 (assume @p311 (forall @t78 (=> @t452 (= @t260 (tptp.hAPP (tptp.hAPP @t330 @t479) @t61))))) % 35.14/35.35 (assume @p312 (forall @t135 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t13) (= (= @t378 @t468) (or @t469 (= @t121 (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t468))))))) % 35.14/35.35 (assume @p313 (= @t462 @t229)) % 35.14/35.35 (assume @p314 (forall @t113 (= @t169 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t105 @t462)))) % 35.14/35.35 (assume @p315 (forall @t113 (= @t169 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t462 @t105)))) % 35.14/35.35 (assume @p316 (forall @t67 (=> @t269 (= (tptp.c_Polynomial_Odegree @t18 @t467) @t44)))) % 35.14/35.35 (assume @p317 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t44) @t44)) % 35.14/35.35 (assume @p318 (forall @t264 (=> @t483 (=> @t482 (=> @t481 (=> @t480 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t374 @t61))))))) % 35.14/35.35 (assume @p319 (forall @t264 (=> @t483 (=> @t482 (=> @t481 (=> @t480 (tptp.c_Orderings_Oord__class_Oless__eq @t18 (tptp.hAPP @t382 @t61) @t61))))))) % 35.14/35.35 (assume @p320 (forall @t490 (=> (tptp.class_Rings_Olinordered__semiring__1 @t18) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t61 @t21) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t164 @t21) (=> @t489 (=> @t488 (=> @t487 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t486 @t21))))))))) % 35.14/35.35 (assume @p321 (forall (@list @t99 @t18) (=> @t453 (= (tptp.hAPP @t357 @t99) @t74)))) % 35.14/35.35 (assume @p322 (forall @t491 (=> @t453 (= (tptp.hAPP @t357 @t164) @t74)))) % 35.14/35.35 (assume @p323 (forall @t46 (=> @t453 @t356))) % 35.14/35.35 (assume @p324 (forall @t78 (=> @t453 (= (tptp.hAPP @t334 @t74) @t74)))) % 35.14/35.35 (assume @p325 (forall @t494 (=> @t453 (= (tptp.hAPP @t331 (tptp.c_Groups_Oplus__class_Oplus @t18 @t99 @t492)) (tptp.c_Groups_Oplus__class_Oplus @t18 @t338 @t493))))) % 35.14/35.35 (assume @p326 (forall @t496 (=> @t453 (= (tptp.hAPP @t455 @t460) (tptp.c_Groups_Oplus__class_Oplus @t18 @t456 @t495))))) % 35.14/35.35 (assume @p327 (forall @t500 (=> @t453 (= (tptp.hAPP (tptp.hAPP @t330 (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t497)) @t99) (tptp.c_Groups_Oplus__class_Oplus @t18 @t338 @t499))))) % 35.14/35.35 (assume @p328 (forall (@list @t174 @t181 @t485 @t183) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t430 @t485) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t428 @t485) @t174)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t404 @t501) @t485) @t174)))) % 35.14/35.35 (assume @p329 (forall @t199 (= @t413 (or @t408 @t275)))) % 35.14/35.35 (assume @p330 (forall (@list @t8 @t144 @t13) (=> @t91 (= (tptp.c_Rings_Odvd__class_Odvd @t29 (tptp.c_Polynomial_OpCons @t13 @t144 @t503) @t8) (= (tptp.hAPP @t90 @t502) @t82))))) % 35.14/35.35 (assume @p331 (forall @t308 (=> @t91 (= (= (tptp.hAPP @t90 @t144) @t82) (tptp.c_Rings_Odvd__class_Odvd @t29 (tptp.c_Polynomial_OpCons @t13 @t502 @t503) @t8))))) % 35.14/35.35 (assume @p332 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t44)) % 35.14/35.35 (assume @p333 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t44)) % 35.14/35.35 (assume @p334 (forall @t46 (=> @t269 (tptp.c_Rings_Odvd__class_Odvd @t18 @t21 @t74)))) % 35.14/35.35 (assume @p335 (forall @t143 (=> @t269 (=> @t506 (=> @t505 @t504))))) % 35.14/35.35 (assume @p336 (forall @t46 (=> @t269 (tptp.c_Rings_Odvd__class_Odvd @t18 @t21 @t21)))) % 35.14/35.35 (assume @p337 (forall @t46 (=> @t269 (=> (tptp.c_Rings_Odvd__class_Odvd @t18 @t74 @t21) @t75)))) % 35.14/35.35 (assume @p338 (forall @t143 (=> @t269 (=> @t507 @t505)))) % 35.14/35.35 (assume @p339 (forall @t143 (=> @t269 (=> @t507 @t504)))) % 35.14/35.35 (assume @p340 (forall (@list @t174 @t99 @t21 @t18) (=> (tptp.class_Rings_Odvd @t18) (=> (= @t21 (tptp.hAPP @t336 @t174)) (tptp.c_Rings_Odvd__class_Odvd @t18 @t99 @t21))))) % 35.14/35.35 (assume @p341 (forall @t219 (=> @t269 (=> @t506 (=> (tptp.c_Rings_Odvd__class_Odvd @t18 @t110 @t215) (tptp.c_Rings_Odvd__class_Odvd @t18 @t365 @t394)))))) % 35.14/35.35 (assume @p342 (forall @t214 (=> @t269 (=> @t504 @t508)))) % 35.14/35.35 (assume @p343 (forall @t143 (=> @t269 (=> @t506 @t508)))) % 35.14/35.35 (assume @p344 (forall @t126 (=> @t269 (tptp.c_Rings_Odvd__class_Odvd @t18 @t21 @t337)))) % 35.14/35.35 (assume @p345 (forall @t126 (=> @t269 (tptp.c_Rings_Odvd__class_Odvd @t18 @t21 @t338)))) % 35.14/35.35 (assume @p346 (forall @t143 (=> @t269 (=> @t506 (=> @t504 (tptp.c_Rings_Odvd__class_Odvd @t18 @t21 @t150)))))) % 35.14/35.35 (assume @p347 (forall @t46 (=> @t269 (tptp.c_Rings_Odvd__class_Odvd @t18 @t450 @t21)))) % 35.14/35.35 (assume @p348 (forall @t125 (=> @t510 (= (tptp.c_Rings_Odvd__class_Odvd @t13 @t121 @t266) @t509)))) % 35.14/35.35 (assume @p349 (forall @t125 (=> @t510 (= (tptp.c_Rings_Odvd__class_Odvd @t13 @t122 @t123) @t509)))) % 35.14/35.35 (assume @p350 (forall @t513 (=> @t269 (=> @t512 @t511)))) % 35.14/35.35 (assume @p351 (forall @t88 (=> @t269 (=> @t514 @t512)))) % 35.14/35.35 (assume @p352 (forall @t225 (=> @t91 (= (tptp.c_Rings_Odvd__class_Odvd @t13 @t371 @t368) @t516)))) % 35.14/35.35 (assume @p353 (forall @t223 (=> @t91 (= (tptp.c_Rings_Odvd__class_Odvd @t13 @t519 @t518) @t516)))) % 35.14/35.35 (assume @p354 (forall @t523 (=> @t522 (=> @t521 (= (tptp.c_Rings_Odvd__class_Odvd @t29 @t8 (tptp.c_Polynomial_Osmult @t13 @t11 @t7)) @t520))))) % 35.14/35.35 (assume @p355 (forall @t513 (=> @t524 (=> @t512 (=> @t76 @t514))))) % 35.14/35.35 (assume @p356 (forall @t329 (=> @t524 (=> @t511 (=> @t76 @t512))))) % 35.14/35.35 (assume @p357 (forall @t523 (=> @t522 (= (tptp.c_Rings_Odvd__class_Odvd @t29 @t96 @t7) (and (=> @t94 @t525) (=> @t521 @t520)))))) % 35.14/35.35 (assume @p358 (forall @t387 (=> @t77 (=> @t512 (=> @t388 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t50 @t107)))))) % 35.14/35.35 (assume @p359 (forall (@list @t310 @t526 @t13) (=> (and @t528 (tptp.class_Rings_Osemiring__0 @t13)) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t526 (tptp.hAPP (tptp.hAPP @t360 @t310) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t13 @t310 (tptp.c_Groups_Oplus__class_Oplus @t13 @t3 @t82)) @t527)))))) % 35.14/35.35 (assume @p360 (forall @t58 (=> @t77 (=> @t55 @t531)))) % 35.14/35.35 (assume @p361 (forall @t58 (=> @t77 (=> @t55 (and @t532 @t531))))) % 35.14/35.35 (assume @p362 (forall @t60 (=> @t77 @t532))) % 35.14/35.35 (assume @p363 (forall @t490 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t18) (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t61 @t21) (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t164 @t21) (=> @t489 (=> @t488 (=> @t487 (tptp.c_Orderings_Oord__class_Oless @t18 @t486 @t21))))))))) % 35.14/35.35 (assume @p364 (forall @t535 (=> @t269 (and (=> @t153 (= @t533 @t450)) (=> @t534 (= @t533 @t74)))))) % 35.14/35.35 (assume @p365 (forall @t113 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t44)))) % 35.14/35.35 (assume @p366 (forall @t156 (=> @t537 @t536))) % 35.14/35.35 (assume @p367 (forall @t113 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t169))) % 35.14/35.35 (assume @p368 (forall (@list @t174) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t229 @t174))) % 35.14/35.35 (assume @p369 (forall @t113 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t169))) % 35.14/35.35 (assume @p370 (forall @t199 (=> @t540 (= @t539 @t538)))) % 35.14/35.35 (assume @p371 (forall @t156 (=> @t542 (=> @t537 (not @t541))))) % 35.14/35.35 (assume @p372 (forall (@list @t105 @t174) (=> @t544 (=> @t543 @t175)))) % 35.14/35.35 (assume @p373 (forall @t423 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t422 @t421) (=> @t546 @t545)))) % 35.14/35.35 (assume @p374 (forall @t551 (=> @t45 (=> @t550 @t549)))) % 35.14/35.35 (assume @p375 (forall @t264 (=> @t483 @t556))) % 35.14/35.35 (assume @p376 (forall @t78 (=> @t254 (not (tptp.c_Orderings_Oord__class_Oless @t18 @t61 @t61))))) % 35.14/35.35 (assume @p377 (forall @t125 (=> @t560 (= @t559 (or @t558 @t557))))) % 35.14/35.35 (assume @p378 (forall @t125 (=> @t560 (= @t561 (or @t557 @t286))))) % 35.14/35.35 (assume @p379 (forall @t264 (=> @t284 (or @t553 @t165 @t552)))) % 35.14/35.35 (assume @p380 (forall @t289 (=> @t560 (=> (not @t557) @t562)))) % 35.14/35.35 (assume @p381 (forall @t264 (=> @t284 @t556))) % 35.14/35.35 (assume @p382 (forall @t264 (=> @t294 (=> @t553 @t555)))) % 35.14/35.35 (assume @p383 (forall @t264 (=> @t254 (=> @t553 (not @t552))))) % 35.14/35.35 (assume @p384 (forall @t264 (=> @t294 (=> @t553 @t563)))) % 35.14/35.35 (assume @p385 (forall @t126 (=> @t254 (=> @t565 (not @t564))))) % 35.14/35.35 (assume @p386 (forall @t566 (=> @t294 (=> @t564 (not @t565))))) % 35.14/35.35 (assume @p387 (forall @t143 (=> @t292 (=> @t291 (=> @t568 @t567))))) % 35.14/35.35 (assume @p388 (forall @t143 (=> @t294 (=> @t291 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t110 @t99) @t569))))) % 35.14/35.35 (assume @p389 (forall @t143 (=> @t292 (=> @t565 (=> @t136 @t567))))) % 35.14/35.35 (assume @p390 (forall @t140 (=> @t294 (=> @t564 (=> @t136 @t569))))) % 35.14/35.35 (assume @p391 (forall @t296 (=> @t254 (=> @t553 @t572)))) % 35.14/35.35 (assume @p392 (forall @t299 (=> @t294 (=> @t552 @t574)))) % 35.14/35.35 (assume @p393 (forall @t264 (=> @t284 (=> @t554 (=> @t555 @t552))))) % 35.14/35.35 (assume @p394 (forall (@list @t61 @t105 @t39 @t18) (=> @t269 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t576) @t61) (tptp.hAPP (tptp.hAPP @t575 @t89) @t105))))) % 35.14/35.35 (assume @p395 (forall @t83 (=> @t16 (= @t9 (forall @t311 (= (tptp.hAPP @t577 @t309) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t13 @t7) @t309))))))) % 35.14/35.35 (assume @p396 (forall @t125 (=> @t16 (= (= (tptp.c_Polynomial_Ocoeff @t13 @t121) (tptp.c_Polynomial_Ocoeff @t13 @t123)) @t286)))) % 35.14/35.35 (assume @p397 (forall (@list @t79 @t164 @t61 @t18) (=> @t269 (= (tptp.hAPP (tptp.hAPP @t575 @t374) @t79) (tptp.hAPP @t581 (tptp.hAPP @t578 @t79)))))) % 35.14/35.35 (assume @p398 (forall @t282 (=> @t281 (= (tptp.c_Orderings_Oord__class_Oless @t279 @t2 @t1) (and @t280 (not (tptp.c_Orderings_Oord__class_Oless__eq @t279 @t1 @t2))))))) % 35.14/35.35 (assume @p399 (forall @t299 (=> @t294 (=> @t283 @t574)))) % 35.14/35.35 (assume @p400 @t583) % 35.14/35.35 (assume @p401 (forall @t299 (=> @t294 (=> @t552 (=> @t298 @t573))))) % 35.14/35.35 (assume @p402 (forall @t296 (=> @t254 (=> @t553 (=> @t295 @t570))))) % 35.14/35.35 (assume @p403 (forall @t566 (=> @t294 (=> @t246 (=> @t584 @t564))))) % 35.14/35.35 (assume @p404 (forall @t126 (=> @t294 (=> @t208 (=> @t584 @t565))))) % 35.14/35.35 (assume @p405 (forall @t264 (=> @t294 (=> @t262 (or @t553 @t165))))) % 35.14/35.35 (assume @p406 (forall @t125 (=> @t560 (=> @t285 @t562)))) % 35.14/35.35 (assume @p407 (forall @t264 (=> @t254 (=> @t553 @t262)))) % 35.14/35.35 (assume @p408 (forall @t297 (=> @t284 (=> @t283 @t554)))) % 35.14/35.35 (assume @p409 (forall @t126 (=> @t294 (=> @t584 (=> @t246 @t564))))) % 35.14/35.35 (assume @p410 (forall @t126 (=> @t294 (=> @t584 (=> @t208 @t565))))) % 35.14/35.35 (assume @p411 (forall @t125 (=> @t560 (=> @t561 @t288)))) % 35.14/35.35 (assume @p412 (forall @t297 (=> @t284 (=> (not @t283) @t553)))) % 35.14/35.35 (assume @p413 (forall @t264 (=> @t284 (=> @t554 @t283)))) % 35.14/35.35 (assume @p414 (forall @t125 (=> @t287 (= @t285 (or @t558 @t286))))) % 35.14/35.35 (assume @p415 (forall @t125 (=> (tptp.class_Orderings_Opreorder @t13) (= @t558 (and @t285 (not @t265)))))) % 35.14/35.35 (assume @p416 (forall @t125 (=> @t287 (= @t558 (and @t285 @t559))))) % 35.14/35.35 (assume @p417 (forall @t264 (=> @t284 (or @t262 @t552)))) % 35.14/35.35 (assume @p418 (forall @t125 (=> @t560 (= (not @t285) @t557)))) % 35.14/35.35 (assume @p419 (forall @t125 (=> @t560 (= @t561 @t265)))) % 35.14/35.35 (assume @p420 (forall @t212 (=> @t211 (=> @t585 @t565)))) % 35.14/35.35 (assume @p421 (forall @t214 (=> @t211 (=> @t586 @t565)))) % 35.14/35.35 (assume @p422 (forall @t219 (=> @t590 (=> @t565 @t589)))) % 35.14/35.35 (assume @p423 (forall @t143 (=> @t590 (=> @t565 @t585)))) % 35.14/35.35 (assume @p424 (forall @t143 (=> @t590 (=> @t565 @t586)))) % 35.14/35.35 (assume @p425 (forall @t223 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t146 @t221) @t591)))) % 35.14/35.35 (assume @p426 (forall @t225 (=> @t222 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t149 @t224) @t591)))) % 35.14/35.35 (assume @p427 (forall @t593 (=> @t269 (= (tptp.hAPP (tptp.hAPP @t575 @t592) @t79) (tptp.hAPP @t579 (tptp.hAPP (tptp.hAPP @t404 @t39) @t79)))))) % 35.14/35.35 (assume @p428 (forall @t227 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t116 @t128) @t591)))) % 35.14/35.35 (assume @p429 (forall @t119 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t128 @t10) (tptp.c_Orderings_Oord__class_Oless @t13 @t116 @t11))))) % 35.14/35.35 (assume @p430 (forall @t119 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t11 @t116) (tptp.c_Orderings_Oord__class_Oless @t13 @t10 @t128))))) % 35.14/35.35 (assume @p431 (forall @t78 (=> @t269 (= (tptp.hAPP @t579 @t462) @t61)))) % 35.14/35.35 (assume @p432 (forall (@list @t157 @t196) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t196 @t276) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t196 @t157)))) % 35.14/35.35 (assume @p433 (forall @t113 (=> @t534 @t543))) % 35.14/35.35 (assume @p434 (forall @t156 (=> @t537 @t534))) % 35.14/35.35 (assume @p435 (forall @t235 (= @t595 @t594))) % 35.14/35.35 (assume @p436 (forall @t156 (=> @t536 @t537))) % 35.14/35.35 (assume @p437 (forall @t156 (=> @t596 @t537))) % 35.14/35.35 (assume @p438 (forall @t156 (=> @t598 (=> @t597 @t188)))) % 35.14/35.35 (assume @p439 (forall @t190 (=> @t600 (=> @t599 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t183) @t174))))) % 35.14/35.35 (assume @p440 (forall @t156 (=> @t537 (=> (not (= @t171 @t105)) @t596)))) % 35.14/35.35 (assume @p441 (forall @t156 (=> @t537 @t598))) % 35.14/35.35 (assume @p442 (forall @t204 (=> (not @t601) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t171) @t188)))) % 35.14/35.35 (assume @p443 (forall @t240 (=> (not @t604) @t603))) % 35.14/35.35 (assume @p444 (forall @t162 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t238 @t239) @t605))) % 35.14/35.35 (assume @p445 (forall @t162 (= @t607 @t606))) % 35.14/35.35 (assume @p446 (forall @t162 (= (not @t605) @t602))) % 35.14/35.35 (assume @p447 (forall @t608 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t159 @t462) @t464))) % 35.14/35.35 (assume @p448 (forall @t314 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t61 @t270) @t609))) % 35.14/35.35 (assume @p449 (forall @t272 (=> @t610 @t609))) % 35.14/35.35 (assume @p450 (forall @t190 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t501 @t174) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 @t174)))) % 35.14/35.35 (assume @p451 (forall (@list @t105 @t154 @t180 @t174) (=> @t612 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t180) @t611) @t537)))) % 35.14/35.35 (assume @p452 (forall @t187 (=> @t600 (=> @t612 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t184 @t182))))) % 35.14/35.35 (assume @p453 (forall @t190 (=> @t600 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t184 @t191)))) % 35.14/35.35 (assume @p454 (forall @t193 (=> @t600 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 @t192)))) % 35.14/35.35 (assume @p455 (forall @t193 (=> @t600 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 @t194)))) % 35.14/35.35 (assume @p456 (forall @t199 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t198 @t197) @t605))) % 35.14/35.35 (assume @p457 (forall (@list @t183 @t181) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t613 @t183)))) % 35.14/35.35 (assume @p458 (forall (@list @t181 @t183) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t501 @t183)))) % 35.14/35.35 (assume @p459 (forall @t166 (=> @t610 @t313))) % 35.14/35.35 (assume @p460 (forall @t156 (=> (or @t537 @t188) @t176))) % 35.14/35.35 (assume @p461 (forall @t156 (=> @t176 (=> @t614 @t537)))) % 35.14/35.35 (assume @p462 (forall @t156 (=> @t537 @t176))) % 35.14/35.35 (assume @p463 (forall @t162 (= @t195 @t606))) % 35.14/35.35 (assume @p464 (forall @t162 (= @t605 (and @t195 @t615)))) % 35.14/35.35 (assume @p465 (forall @t162 (=> @t616 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t414 @t159) @t159) @t463)))) % 35.14/35.35 (assume @p466 (forall @t162 (=> @t616 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t407 @t159) @t463)))) % 35.14/35.35 (assume @p467 (forall @t618 (=> @t269 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t617) @t105) @t450)))) % 35.14/35.35 (assume @p468 (forall @t551 (=> @t45 (=> @t108 (=> @t549 (or @t54 @t550)))))) % 35.14/35.35 (assume @p469 (forall @t620 (=> @t269 (= (tptp.hAPP @t581 @t61) @t619)))) % 35.14/35.35 (assume @p470 (forall @t620 (=> @t269 (= @t621 @t619)))) % 35.14/35.35 (assume @p471 (forall @t620 (=> @t269 (= @t619 @t621)))) % 35.14/35.35 (assume @p472 (forall @t78 (=> @t269 (= (tptp.hAPP @t579 @t44) @t450)))) % 35.14/35.35 (assume @p473 (forall @t593 (=> @t269 (= (tptp.hAPP (tptp.hAPP @t330 @t592) @t580) (tptp.hAPP @t579 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t39 @t79)))))) % 35.14/35.35 (assume @p474 (forall @t140 (=> @t624 (=> @t564 (=> @t623 @t622))))) % 35.14/35.35 (assume @p475 (forall @t140 (=> @t624 (=> @t564 (=> @t623 @t625))))) % 35.14/35.35 (assume @p476 (forall @t143 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t18) @t627))) % 35.14/35.35 (assume @p477 (forall @t143 (=> @t628 @t627))) % 35.14/35.35 (assume @p478 (forall @t143 (=> @t628 (=> @t565 (=> @t626 @t625))))) % 35.14/35.35 (assume @p479 (forall @t126 (=> @t624 (=> @t631 (=> @t630 @t629))))) % 35.14/35.35 (assume @p480 (forall @t126 (=> @t628 (=> @t631 (=> @t633 @t632))))) % 35.14/35.35 (assume @p481 (forall @t223 (=> @t380 (=> @t636 (= @t635 @t634))))) % 35.14/35.35 (assume @p482 (forall @t566 (=> @t628 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t74 @t337) @t638)))) % 35.14/35.35 (assume @p483 (forall @t126 (=> @t628 (=> @t629 @t638)))) % 35.14/35.35 (assume @p484 (forall @t126 (=> @t628 (=> @t637 (=> @t630 (tptp.c_Orderings_Oord__class_Oless @t18 @t337 @t74)))))) % 35.14/35.35 (assume @p485 (forall @t126 (=> @t628 (=> @t637 (=> @t630 @t632))))) % 35.14/35.35 (assume @p486 (forall @t126 (=> @t628 (=> @t637 (=> @t633 @t629))))) % 35.14/35.35 (assume @p487 (forall @t223 (=> @t380 (=> @t639 (= @t635 @t591))))) % 35.14/35.35 (assume @p488 (forall @t223 (=> @t380 (= @t635 @t640)))) % 35.14/35.35 (assume @p489 (forall @t225 (=> @t380 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t371 @t368) @t640)))) % 35.14/35.35 (assume @p490 (forall @t46 (=> @t384 (not (tptp.c_Orderings_Oord__class_Oless @t18 @t332 @t74))))) % 35.14/35.35 (assume @p491 (forall @t126 (=> @t244 (=> @t631 @t642)))) % 35.14/35.35 (assume @p492 (forall @t126 (=> @t244 (=> @t637 @t644)))) % 35.14/35.35 (assume @p493 (forall @t130 (=> @t131 @t646))) % 35.14/35.35 (assume @p494 (forall @t130 (=> @t131 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t82 @t133) @t647)))) % 35.14/35.35 (assume @p495 (forall @t130 (=> @t648 @t646))) % 35.14/35.35 (assume @p496 (forall @t143 (=> @t475 (=> @t637 @t650)))) % 35.14/35.35 (assume @p497 (forall @t219 (=> @t590 (=> @t208 @t589)))) % 35.14/35.35 (assume @p498 (forall @t219 (=> @t590 (=> @t565 (=> @t217 @t587))))) % 35.14/35.35 (assume @p499 (forall @t67 (=> @t475 (not (tptp.c_Orderings_Oord__class_Oless @t18 @t450 @t74))))) % 35.14/35.35 (assume @p500 (forall @t67 (=> @t475 (tptp.c_Orderings_Oord__class_Oless @t18 @t74 @t450)))) % 35.14/35.35 (assume @p501 (forall @t130 (=> @t131 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t128 @t11) @t647)))) % 35.14/35.35 (assume @p502 (forall @t130 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t128 @t82) @t647)))) % 35.14/35.35 (assume @p503 (forall @t130 (=> @t129 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t82 @t128) @t645)))) % 35.14/35.35 (assume @p504 (forall @t130 (=> @t648 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t11 @t128) @t645)))) % 35.14/35.35 (assume @p505 (forall (@list @t105 @t154 @t18) (=> @t475 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t450 @t154) (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t450 @t105) (tptp.c_Orderings_Oord__class_Oless @t18 @t450 (tptp.hAPP (tptp.hAPP @t330 @t154) @t105))))))) % 35.14/35.35 (assume @p506 (forall @t46 (=> @t475 (tptp.c_Orderings_Oord__class_Oless @t18 @t21 @t476)))) % 35.14/35.35 (assume @p507 (forall @t608 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t159 @t229) @t231))) % 35.14/35.35 (assume @p508 (forall @t199 (= @t539 (or @t408 @t538)))) % 35.14/35.35 (assume @p509 (forall @t535 (=> @t45 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t20) @t105) @t74)))) % 35.14/35.35 (assume @p510 (forall @t162 (= @t607 (or @t160 (exists (@list @t651) (and (= @t159 (tptp.c_Nat_OSuc @t651)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t651 @t157))))))) % 35.14/35.35 (assume @p511 (forall @t235 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 @t229) @t158))) % 35.14/35.35 (assume @p512 (forall @t235 (= @t594 (exists (@list @t652) (= @t157 (tptp.c_Nat_OSuc @t652)))))) % 35.14/35.35 (assume @p513 (forall @t162 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t161) (or @t616 @t594)))) % 35.14/35.35 (assume @p514 (forall @t162 (= @t605 (exists @t202 (= @t157 (tptp.c_Nat_OSuc @t201)))))) % 35.14/35.35 (assume @p515 (forall @t653 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t154 @t183))))) % 35.14/35.35 (assume @p516 (forall @t653 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t183 @t154))))) % 35.14/35.35 (assume @p517 (forall @t60 (=> @t45 (= (tptp.hAPP @t654 @t44) @t21)))) % 35.14/35.35 (assume @p518 (forall @t156 (=> @t236 @t537))) % 35.14/35.35 (assume @p519 (forall @t162 (=> @t195 @t603))) % 35.14/35.35 (assume @p520 (forall @t156 (=> @t537 @t236))) % 35.14/35.35 (assume @p521 (forall @t156 (=> @t176 @t598))) % 35.14/35.35 (assume @p522 (forall @t162 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t238 @t157) @t605))) % 35.14/35.35 (assume @p523 (forall @t162 (= @t607 @t195))) % 35.14/35.35 (assume @p524 (forall @t240 (= @t604 @t241))) % 35.14/35.35 (assume @p525 (forall @t162 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t407) (and @t616 @t594)))) % 35.14/35.35 (assume @p526 (forall @t199 (= @t656 @t655))) % 35.14/35.35 (assume @p527 (forall @t277 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t416 @t415) @t655))) % 35.14/35.35 (assume @p528 (forall @t190 (=> @t600 (=> @t546 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t431 @t429))))) % 35.14/35.35 (assume @p529 (forall @t190 (=> @t600 (=> @t546 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t433 @t432))))) % 35.14/35.35 (assume @p530 (forall @t199 (=> @t540 (= @t656 @t605)))) % 35.14/35.35 (assume @p531 (forall @t199 (=> @t540 (= @t413 @t275)))) % 35.14/35.35 (assume @p532 (forall @t657 (=> @t25 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t68) @t105) (tptp.hAPP @t331 @t548))))) % 35.14/35.35 (assume @p533 (forall @t657 (=> @t45 (= (tptp.hAPP @t654 @t169) @t548)))) % 35.14/35.35 (assume @p534 (forall @t199 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t419 @t418) @t605))) % 35.14/35.35 (assume @p535 (forall @t660 (=> @t80 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t87) @t105) (tptp.c_Groups_Oplus__class_Oplus @t18 @t548 @t659))))) % 35.14/35.35 (assume @p536 (forall @t551 (=> @t64 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t63) @t105) (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t548))))) % 35.14/35.35 (assume @p537 (forall @t387 (=> @t77 (=> (= @t662 @t661) (=> @t512 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t79 @t39) (= @t39 @t79))))))) % 35.14/35.35 (assume @p538 (forall (@list @t39 @t79 @t18) (=> @t80 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t107 @t50) (= @t106 @t50))))) % 35.14/35.35 (assume @p539 @t666) % 35.14/35.35 (assume @p540 (forall @t109 (=> @t80 (=> @t550 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t107 @t105) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t106 @t105)))))) % 35.14/35.35 (assume @p541 (forall @t223 (=> @t380 (=> @t639 (= @t667 @t220))))) % 35.14/35.35 (assume @p542 (forall @t223 (=> @t380 (=> @t636 (= @t667 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t10 @t11)))))) % 35.14/35.35 (assume @p543 (forall @t219 (=> @t628 (=> @t565 (=> @t588 (=> @t633 @t669)))))) % 35.14/35.35 (assume @p544 (forall @t219 (=> @t628 (=> @t565 (=> @t588 (=> @t250 @t669)))))) % 35.14/35.35 (assume @p545 (forall @t219 (=> @t628 (=> @t565 (=> @t217 (=> @t250 (=> @t626 @t668))))))) % 35.14/35.35 (assume @p546 (forall @t219 (=> @t628 (=> @t208 (=> @t588 (=> @t637 @t669)))))) % 35.14/35.35 (assume @p547 (forall @t214 (=> @t672 @t671))) % 35.14/35.35 (assume @p548 (forall @t214 (=> @t628 @t671))) % 35.14/35.35 (assume @p549 (forall @t212 (=> @t672 @t673))) % 35.14/35.35 (assume @p550 (forall @t212 (=> @t628 @t673))) % 35.14/35.35 (assume @p551 (forall @t214 (=> @t628 (=> @t402 @t674)))) % 35.14/35.35 (assume @p552 (forall @t212 (=> @t628 (=> @t400 @t674)))) % 35.14/35.35 (assume @p553 (forall @t125 (=> @t91 (= (= (tptp.hAPP (tptp.hAPP @t676 @t121) @t675) (tptp.hAPP (tptp.hAPP @t676 @t123) @t675)) (or @t286 (= @t121 @t266)))))) % 35.14/35.35 (assume @p554 (forall @t126 (=> @t244 (=> @t243 @t642)))) % 35.14/35.35 (assume @p555 (forall @t126 (=> @t244 (=> @t631 (=> @t242 @t641))))) % 35.14/35.35 (assume @p556 (forall @t143 (=> @t244 (=> @t250 @t650)))) % 35.14/35.35 (assume @p557 (forall @t143 (=> @t244 (=> @t637 (=> @t249 @t649))))) % 35.14/35.35 (assume @p558 (forall @t126 (=> @t244 (=> @t250 @t644)))) % 35.14/35.35 (assume @p559 (forall @t126 (=> @t244 (=> @t637 (=> @t253 @t643))))) % 35.14/35.35 (assume @p560 (forall @t125 (=> @t380 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t82 @t379) (or (not @t134) (not @t251)))))) % 35.14/35.35 (assume @p561 (forall @t264 (=> @t384 (not (tptp.c_Orderings_Oord__class_Oless @t18 @t383 @t74))))) % 35.14/35.35 (assume @p562 (forall @t67 (=> @t475 (tptp.c_Orderings_Oord__class_Oless @t18 @t74 @t478)))) % 35.14/35.35 (assume @p563 (forall @t551 (=> @t45 (=> (not @t549) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t105 @t50))))) % 35.14/35.35 (assume @p564 (forall @t551 (=> @t269 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t18 @t576) (tptp.hAPP @t434 @t105))))) % 35.14/35.35 (assume @p565 (forall @t204 (=> @t678 (=> @t677 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t229 @t435))))) % 35.14/35.35 (assume @p566 (forall @t204 (=> @t678 (=> @t677 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t466))))) % 35.14/35.35 (assume @p567 (forall @t204 (=> @t678 (=> @t677 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t435))))) % 35.14/35.35 (assume @p568 (forall @t49 (=> @t45 (=> @t55 (not (= @t662 @t74)))))) % 35.14/35.35 (assume @p569 (forall @t93 (=> @t16 (= (= @t679 @t82) @t31)))) % 35.14/35.35 (assume @p570 (forall @t277 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t416 @t415) @t680))) % 35.14/35.35 (assume @p571 (forall @t199 (= @t681 @t680))) % 35.14/35.35 (assume @p572 (forall @t199 (=> @t540 (= @t681 @t195)))) % 35.14/35.35 (assume @p573 (forall (@list @t105 @t257 @t18) (=> @t475 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t257) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t257 @t450) (tptp.c_Orderings_Oord__class_Oless__eq @t18 (tptp.hAPP (tptp.hAPP @t575 @t257) @t169) @t257)))))) % 35.14/35.35 (assume @p574 (forall @t618 (=> @t269 (= (tptp.c_Polynomial_Odegree @t18 @t617) @t105)))) % 35.14/35.35 (assume @p575 (forall @t387 (=> @t25 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t327) @t385) (tptp.hAPP (tptp.hAPP @t330 @t662) @t661))))) % 35.14/35.35 (assume @p576 (forall @t686 (=> @t475 (=> @t685 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t684 @t683) @t176))))) % 35.14/35.35 (assume @p577 (forall @t692 (=> @t691 (=> @t690 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t689 @t688) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t121 @t123)))))) % 35.14/35.35 (assume @p578 (forall @t697 (=> @t475 (=> @t696 (=> @t250 (=> @t695 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t694 @t683))))))) % 35.14/35.35 (assume @p579 (forall @t618 (=> @t475 (=> @t637 (=> @t699 (tptp.c_Orderings_Oord__class_Oless @t18 @t698 @t450)))))) % 35.14/35.35 (assume @p580 (forall @t618 (=> @t475 (=> @t637 (=> @t699 (tptp.c_Orderings_Oord__class_Oless @t18 @t700 @t683)))))) % 35.14/35.35 (assume @p581 (forall @t701 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t61 @t61))) % 35.14/35.35 (assume @p582 (forall @t166 (=> @t704 (not (and @t703 (not @t702)))))) % 35.14/35.35 (assume @p583 (forall @t272 (=> @t704 @t708))) % 35.14/35.35 (assume @p584 (forall @t712 (=> @t711 (not (and @t710 (not @t709)))))) % 35.14/35.35 (assume @p585 (forall @t272 (=> @t704 (=> @t707 @t706)))) % 35.14/35.35 (assume @p586 (forall @t715 (=> @t711 (=> @t136 @t714)))) % 35.14/35.35 (assume @p587 (forall @t166 (=> @t704 @t563))) % 35.14/35.35 (assume @p588 (forall @t166 (=> @t704 @t555))) % 35.14/35.35 (assume @p589 (forall @t166 (=> @t704 @t702))) % 35.14/35.35 (assume @p590 (forall @t272 (=> @t702 @t708))) % 35.14/35.35 (assume @p591 (forall @t715 (=> @t291 (=> (and @t716 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t110 @t99))) @t714)))) % 35.14/35.35 (assume @p592 (forall @t272 (=> @t702 (=> @t707 @t705)))) % 35.14/35.35 (assume @p593 (forall @t166 (=> @t702 (=> @t703 @t165)))) % 35.14/35.35 (assume @p594 (forall @t156 (=> @t545 (=> @t541 @t188)))) % 35.14/35.35 (assume @p595 (forall @t715 (=> @t709 (=> @t136 @t713)))) % 35.14/35.35 (assume @p596 (forall @t715 (=> @t291 (=> @t716 @t713)))) % 35.14/35.35 (assume @p597 (forall @t712 (=> @t709 (=> @t584 @t711)))) % 35.14/35.35 (assume @p598 (forall @t166 (=> @t702 (or @t704 @t165)))) % 35.14/35.35 (assume @p599 (forall (@list @t121 @t123) (=> @t718 (= @t717 @t286)))) % 35.14/35.35 (assume @p600 (forall @t166 (=> @t165 @t702))) % 35.14/35.35 (assume @p601 (forall @t712 (=> @t584 (=> @t709 @t711)))) % 35.14/35.35 (assume @p602 (forall @t720 (= @t719 (and @t717 @t559)))) % 35.14/35.35 (assume @p603 (forall @t720 (= @t717 (or @t719 @t286)))) % 35.14/35.35 (assume @p604 (forall @t720 (= @t286 (and @t717 @t718)))) % 35.14/35.35 (assume @p605 (forall @t113 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t105)))) % 35.14/35.35 (assume @p606 (forall @t162 (= @t615 (or @t605 @t604)))) % 35.14/35.35 (assume @p607 (forall @t166 (=> @t555 (=> (not @t610) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t164 @t61))))) % 35.14/35.35 (assume @p608 (forall @t204 (=> @t601 @t614))) % 35.14/35.35 (assume @p609 (forall (@list @t721 @t722) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t722 @t721) (not (= @t722 @t721))))) % 35.14/35.35 (assume @p610 (forall (@list @t526 @t157 @t159) (=> (=> @t605 @t724) (=> (=> @t275 @t724) (=> (=> @t604 @t724) @t724))))) % 35.14/35.35 (assume @p611 (forall @t729 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t183) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t728 @t727) @t537)))) % 35.14/35.35 (assume @p612 (forall @t733 (= @t732 (or @t730 @t158)))) % 35.14/35.35 (assume @p613 (forall @t272 (= (tptp.hAPP @t735 @t271) (tptp.hAPP (tptp.hAPP @t737 @t736) (tptp.hAPP @t735 @t270))))) % 35.14/35.35 (assume @p614 (forall @t272 (= (tptp.hAPP (tptp.hAPP @t734 @t736) @t270) (tptp.hAPP @t735 (tptp.hAPP (tptp.hAPP @t404 @t164) @t270))))) % 35.14/35.35 (assume @p615 (forall @t113 (= (tptp.hAPP (tptp.hAPP @t725 @t229) @t105) @t229))) % 35.14/35.35 (assume @p616 (forall (@list @t159 @t121) (= (= (tptp.hAPP @t731 @t159) @t229) (or @t160 (= @t121 @t229))))) % 35.14/35.35 (assume @p617 (forall @t729 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t728 @t727) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t462 @t183) @t176)))) % 35.14/35.35 (assume @p618 (forall @t738 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t229 @t183) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t229 @t727)))) % 35.14/35.35 (assume @p619 (forall @t618 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t18) (=> @t76 (not (= @t683 @t74)))))) % 35.14/35.35 (assume @p620 (forall @t742 (=> @t474 (= (tptp.hAPP (tptp.hAPP @t575 @t338) @t105) (tptp.hAPP @t741 @t740))))) % 35.14/35.35 (assume @p621 (forall @t618 (=> @t473 (= @t743 @t700)))) % 35.14/35.35 (assume @p622 (forall @t535 (=> @t473 (= (tptp.hAPP (tptp.hAPP @t575 @t450) @t105) @t450)))) % 35.14/35.35 (assume @p623 (forall (@list @t105 @t164 @t61 @t18) (=> @t269 (=> @t745 (tptp.c_Rings_Odvd__class_Odvd @t18 @t744 (tptp.hAPP @t578 @t105)))))) % 35.14/35.35 (assume @p624 (forall @t686 (=> @t473 (= (tptp.hAPP @t682 @t435) (tptp.hAPP (tptp.hAPP @t575 @t684) @t105))))) % 35.14/35.35 (assume @p625 (forall @t46 (=> @t473 (= (tptp.hAPP @t682 @t462) @t21)))) % 35.14/35.35 (assume @p626 (forall @t618 (=> @t475 (=> @t250 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t74 @t683))))) % 35.14/35.35 (assume @p627 (forall @t742 (=> @t475 (=> @t208 (=> @t250 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t683 @t740)))))) % 35.14/35.35 (assume @p628 (forall @t618 (=> @t475 (=> @t637 (tptp.c_Orderings_Oord__class_Oless @t18 @t74 @t683))))) % 35.14/35.35 (assume @p629 (forall @t618 (=> @t475 (=> @t746 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t450 @t683))))) % 35.14/35.35 (assume @p630 (forall (@list @t157 @t11 @t13) (=> (and @t749 (tptp.class_Rings_Omult__zero @t13) (tptp.class_Rings_Ono__zero__divisors @t13) (tptp.class_Rings_Ozero__neq__one @t13)) (= (= @t748 @t82) (and @t94 @t595))))) % 35.14/35.35 (assume @p631 (forall (@list @t157 @t159 @t11 @t13) (=> @t691 (=> (tptp.c_Orderings_Oord__class_Oless @t13 @t468 @t11) (= (= (tptp.hAPP @t747 @t159) @t748) @t275))))) % 35.14/35.35 (assume @p632 (forall @t692 (=> @t691 (=> @t690 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t689 @t688) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t121 @t123)))))) % 35.14/35.35 (assume @p633 (forall @t686 (=> @t475 (=> @t685 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t684 @t683) @t537))))) % 35.14/35.35 (assume @p634 (forall @t697 (=> @t475 (=> @t750 (=> @t685 (tptp.c_Orderings_Oord__class_Oless @t18 @t683 @t694)))))) % 35.14/35.35 (assume @p635 (forall @t535 (=> @t753 (= (tptp.hAPP @t751 @t169) @t74)))) % 35.14/35.35 (assume @p636 (forall @t618 (=> @t473 (= @t698 @t743)))) % 35.14/35.35 (assume @p637 (forall @t618 (=> @t752 (= @t698 @t700)))) % 35.14/35.35 (assume @p638 (forall @t46 (=> @t752 (= (tptp.hAPP @t682 @t44) @t450)))) % 35.14/35.35 (assume @p639 (forall @t686 (=> @t473 (= (tptp.hAPP @t682 @t155) (tptp.hAPP (tptp.hAPP @t330 @t684) @t683))))) % 35.14/35.35 (assume @p640 (forall (@list @t154 @t99 @t105 @t21 @t18) (=> @t269 (=> (tptp.c_Rings_Odvd__class_Odvd @t18 @t683 @t99) (=> @t176 (tptp.c_Rings_Odvd__class_Odvd @t18 @t684 @t99)))))) % 35.14/35.35 (assume @p641 (forall (@list @t154 @t105 @t164 @t61 @t18) (=> @t269 (=> @t745 (=> @t189 (tptp.c_Rings_Odvd__class_Odvd @t18 @t744 (tptp.hAPP @t578 @t154))))))) % 35.14/35.35 (assume @p642 (forall (@list @t21 @t105 @t154 @t18) (=> @t269 (=> @t176 (tptp.c_Rings_Odvd__class_Odvd @t18 @t684 @t683))))) % 35.14/35.35 (assume @p643 (forall @t755 (=> @t475 (=> @t754 (=> @t253 @t565))))) % 35.14/35.35 (assume @p644 (forall @t697 (=> @t475 (=> @t750 (=> @t637 (=> @t699 (tptp.c_Orderings_Oord__class_Oless @t18 @t694 @t683))))))) % 35.14/35.35 (assume @p645 (forall @t755 (=> @t475 (=> (= @t683 @t740) (=> @t250 (=> @t253 (=> @t543 @t291))))))) % 35.14/35.35 (assume @p646 (forall @t755 (=> @t475 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t698 @t756) (=> @t253 @t208))))) % 35.14/35.35 (assume @p647 (forall @t755 (=> @t475 (=> (= @t698 @t756) (=> @t250 (=> @t253 @t291)))))) % 35.14/35.35 (assume @p648 (forall @t618 (=> @t475 (=> @t685 (tptp.c_Orderings_Oord__class_Oless @t18 @t450 @t700))))) % 35.14/35.35 (assume @p649 (forall @t618 (=> @t475 (=> @t685 (tptp.c_Orderings_Oord__class_Oless @t18 @t683 @t700))))) % 35.14/35.35 (assume @p650 (forall @t535 (=> @t753 (and (=> @t153 (= @t757 @t450)) (=> @t534 (= @t757 @t74)))))) % 35.14/35.35 (assume @p651 (forall @t618 (=> @t475 (=> @t685 (=> @t543 (tptp.c_Orderings_Oord__class_Oless @t18 @t450 @t683)))))) % 35.14/35.35 (assume @p652 (forall @t618 (=> @t475 (=> @t685 (tptp.c_Orderings_Oord__class_Oless @t18 @t450 @t698))))) % 35.14/35.35 (assume @p653 (forall @t618 (=> @t758 (= (tptp.hAPP (tptp.hAPP @t575 @t72) @t105) (tptp.hAPP (tptp.hAPP @t330 (tptp.hAPP (tptp.hAPP @t575 @t479) @t105)) @t683))))) % 35.14/35.35 (assume @p654 (forall @t697 (=> @t475 (=> @t696 (=> @t746 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t683 @t694)))))) % 35.14/35.35 (assume @p655 (forall @t759 (=> @t269 (=> (or @t543 (= @t61 @t450)) (tptp.c_Rings_Odvd__class_Odvd @t18 @t61 @t744))))) % 35.14/35.35 (assume @p656 (forall @t742 (=> @t475 (=> @t565 (=> @t250 (=> @t543 @t754)))))) % 35.14/35.35 (assume @p657 (forall @t204 (=> @t543 (=> @t545 @t542)))) % 35.14/35.35 (assume @p658 (forall @t701 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t61 @t675) (or (= @t61 @t44) (= @t61 @t229))))) % 35.14/35.35 (assume @p659 (forall (@list @t13) (=> @t749 (= @t676 (tptp.c_Power_Opower_Opower @t13 @t468 @t360))))) % 35.14/35.35 (assume @p660 (forall @t162 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t761 @t159) (= (= (tptp.hAPP (tptp.hAPP @t737 @t159) @t157) @t760) (and (= @t159 @t760) (= @t157 @t760)))))) % 35.14/35.35 (assume @p661 (forall @t423 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t763 @t154) (tptp.hAPP @t763 @t105)) (=> (not (= @t174 @t761)) @t762)))) % 35.14/35.35 (assume @p662 (forall (@list @t144 @t764 @t121 @t369 @t11) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t11 @t369) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t11 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t121 @t764)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t11 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t121 (tptp.hAPP (tptp.hAPP @t737 @t144) @t369)) @t764)))))) % 35.14/35.35 (assume @p663 (forall (@list @t159 @t157 @t196) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t196 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t157 @t766)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t196 @t157)))) % 35.14/35.35 (assume @p664 (forall (@list @t764 @t159 @t196) (=> (not (= @t196 @t761)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t159 @t764) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t766 (tptp.hAPP @t765 @t764)))))) % 35.14/35.35 (assume @p665 (forall @t190 (=> @t767 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t761 @t174) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t763 @t183) (tptp.hAPP @t763 @t181)))))) % 35.14/35.35 (assume @p666 (forall @t768 (= (tptp.hAPP (tptp.hAPP @t737 @t760) @t270) @t270))) % 35.14/35.35 (assume @p667 (forall @t768 (= (tptp.hAPP @t769 @t760) @t270))) % 35.14/35.35 (assume @p668 (forall (@list @t770 @t773 @t771) (= (tptp.hAPP @t772 @t774) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t772 @t773) (tptp.hAPP @t772 @t770))))) % 35.14/35.35 (assume @p669 (forall (@list @t771 @t770 @t773) (= (tptp.hAPP (tptp.hAPP @t737 @t774) @t771) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t776 @t771) (tptp.hAPP @t775 @t771))))) % 35.14/35.35 (assume @p670 (forall @t778 (= (tptp.hAPP (tptp.hAPP @t737 (tptp.hAPP @t776 @t770)) @t777) (tptp.hAPP @t776 (tptp.hAPP @t775 @t777))))) % 35.14/35.35 (assume @p671 (forall @t780 (= @t779 (tptp.hAPP @t772 @t270)))) % 35.14/35.35 (assume @p672 (forall @t780 (= (tptp.hAPP (tptp.hAPP @t737 @t781) @t771) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t779)))) % 35.14/35.35 (assume @p673 (forall (@list @t11 @t783 @t782 @t13) (= (tptp.hAPP @t784 @t44) @t782))) % 35.14/35.35 (assume @p674 (forall (@list @t157 @t11 @t783 @t782 @t13) (= (tptp.hAPP @t784 @t239) (tptp.hAPP (tptp.hAPP @t783 @t11) (tptp.hAPP @t784 @t157))))) % 35.14/35.35 (assume @p675 (forall @t785 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t734 @t21) @t105) (tptp.hAPP (tptp.hAPP @t734 @t99) @t105)) (=> @t534 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t21 @t99))))) % 35.14/35.35 (assume @p676 (forall @t786 (=> @t595 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t734 @t11) @t157) (tptp.hAPP (tptp.hAPP @t734 @t10) @t157)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t11 @t10))))) % 35.14/35.35 (assume @p677 (forall @t733 (= @t732 (or @t158 @t730)))) % 35.14/35.35 (assume @p678 (forall @t701 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t61 @t44))) % 35.14/35.35 (assume @p679 (forall @t785 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t725 @t21) @t105) (tptp.hAPP (tptp.hAPP @t725 @t99) @t105)) (=> @t534 @t709)))) % 35.14/35.35 (assume @p680 (forall @t786 (=> @t595 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t725 @t11) @t157) (tptp.hAPP (tptp.hAPP @t725 @t10) @t157)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t11 @t10))))) % 35.14/35.35 (assume @p681 (forall @t701 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t462 @t61))) % 35.14/35.35 (assume @p682 (forall (@list @t787 @t7 @t123 @t121 @t13) (=> @t522 (= (tptp.c_Polynomial_Opdivmod__rel @t13 @t121 @t123 @t7 @t787) (and (= @t121 (tptp.c_Groups_Oplus__class_Oplus @t29 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes @t29) @t7) @t123) @t787)) (=> @t789 @t525) (=> (not @t789) (or @t788 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t13 @t787) (tptp.c_Polynomial_Odegree @t13 @t123))))))))) % 35.14/35.35 (assume @p683 (forall @t93 (=> @t648 (= @t790 (tptp.c_Orderings_Oord__class_Oless @t13 @t82 @t679))))) % 35.14/35.35 (assume @p684 (forall @t95 (=> @t648 (= (tptp.c_Polynomial_Opos__poly @t13 @t15) (or @t790 (and @t31 @t647)))))) % 35.14/35.35 (assume @p685 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t761) @t761)) % 35.14/35.35 (assume @p686 (forall @t768 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t781) @t270))) % 35.14/35.35 (assume @p687 (forall @t780 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t791) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t781 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t771))))) % 35.14/35.35 (assume @p688 (forall @t768 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t781 @t270) @t761))) % 35.14/35.35 (assume @p689 (forall @t190 (=> @t792 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t174 @t183) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t174 @t181))))) % 35.14/35.35 (assume @p690 (forall @t801 (=> @t524 (=> @t800 (=> @t799 (and @t798 @t795)))))) % 35.14/35.35 (assume @p691 (forall @t801 (=> @t524 (=> @t800 (=> @t799 @t795))))) % 35.14/35.35 (assume @p692 (forall @t801 (=> @t524 (=> @t800 (=> @t799 @t798))))) % 35.14/35.35 (assume @p693 (forall @t780 (= @t791 @t802))) % 35.14/35.35 (assume @p694 (forall @t272 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t61 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t164 @t270)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t164 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t61 @t270))))) % 35.14/35.35 (assume @p695 (forall @t778 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t774 @t777) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t773 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t770 @t777))))) % 35.14/35.35 (assume @p696 (forall @t768 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t270 @t761) @t270))) % 35.14/35.35 (assume @p697 (forall @t768 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t761 @t270) @t270))) % 35.14/35.35 (assume @p698 (forall @t768 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t803 @t270) @t761)))) % 35.14/35.35 (assume @p699 (not (= @t761 @t760))) % 35.14/35.35 (assume @p700 (forall (@list @t21 @t257 @t79 @t164 @t61 @t18) (=> @t524 (=> @t805 (tptp.c_Polynomial_Opdivmod__rel @t18 @t804 @t164 @t86 (tptp.c_Polynomial_Osmult @t18 @t21 @t257)))))) % 35.14/35.35 (assume @p701 (forall @t78 (=> @t524 (tptp.c_Polynomial_Opdivmod__rel @t18 @t61 @t20 @t20 @t61)))) % 35.14/35.35 (assume @p702 (forall @t491 (=> @t524 (tptp.c_Polynomial_Opdivmod__rel @t18 @t20 @t164 @t20 @t20)))) % 35.14/35.35 (assume @p703 (forall (@list @t787 @t7 @t121 @t13) (=> @t522 (= (tptp.c_Polynomial_Opdivmod__rel @t13 @t121 @t30 @t7 @t787) (and @t525 (= @t787 @t121)))))) % 35.14/35.35 (assume @p704 (forall (@list @t787 @t7 @t123 @t13) (=> @t522 (= (tptp.c_Polynomial_Opdivmod__rel @t13 @t30 @t123 @t7 @t787) (and @t525 @t788))))) % 35.14/35.35 (assume @p705 (forall (@list @t359 @t315) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t315 @t359) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t315 @t359) (not (= @t315 @t359)))))) % 35.14/35.35 (assume @p706 (forall (@list @t270 @t806 @t771 @t807) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t807 @t771) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t806 @t270) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t807 @t806) @t802))))) % 35.14/35.35 (assume @p707 (forall @t190 (=> @t767 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t183 @t174) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t181 @t174))))) % 35.14/35.35 (assume @p708 (forall @t166 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t61 @t164) @t165 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t164 @t61)))) % 35.14/35.35 (assume @p709 (forall @t156 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t761 @t154) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t154 @t105) (not @t808))))) % 35.14/35.35 (assume @p710 (forall @t810 (= @t809 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t369 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t764))))) % 35.14/35.35 (assume @p711 (forall @t810 (= @t809 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t369) @t764)))) % 35.14/35.35 (assume @p712 (forall (@list @t105 @t270) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t270 @t105) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t761 @t105) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t270 @t105))))) % 35.14/35.35 (assume @p713 (forall @t156 (=> @t811 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t105) (=> @t762 (=> @t808 @t188)))))) % 35.14/35.35 (assume @p714 (forall @t812 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t760 @t315) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t761 @t315)))) % 35.14/35.35 (assume @p715 (forall @t814 (= @t813 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t359 @t315)))) % 35.14/35.35 (assume @p716 (forall @t814 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t359 @t760) @t315) @t815))) % 35.14/35.35 (assume @p717 (forall @t768 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t270) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t761 @t803)))) % 35.14/35.35 (assume @p718 (forall (@list @t270 @t771) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t771 @t270) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t771 @t760) @t270)))) % 35.14/35.35 (assume @p719 (forall @t814 (= @t813 (or @t815 (= @t359 @t315))))) % 35.14/35.35 (assume @p720 (forall @t812 (= (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 @t760 @t315) @t315) @t761) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t315 @t761)))) % 35.14/35.35 (assume @p721 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t761 @t760)) % 35.14/35.35 (assume @p722 (forall @t67 (=> @t483 (not (tptp.c_Polynomial_Opos__poly @t18 @t20))))) % 35.14/35.35 (assume @p723 (forall @t387 (=> @t483 (=> @t817 (=> @t816 (tptp.c_Polynomial_Opos__poly @t18 @t87)))))) % 35.14/35.35 (assume @p724 (forall @t387 (=> @t483 (=> @t817 (=> @t816 (tptp.c_Polynomial_Opos__poly @t18 @t327)))))) % 35.14/35.35 (assume @p725 (forall (@list @t818 @t820 @t270 @t257 @t79 @t164 @t61 @t18) (=> @t524 (=> @t805 (=> (tptp.c_Polynomial_Opdivmod__rel @t18 @t79 @t270 @t820 @t818) (tptp.c_Polynomial_Opdivmod__rel @t18 @t61 (tptp.hAPP @t819 @t270) @t820 (tptp.c_Groups_Oplus__class_Oplus @t19 (tptp.hAPP @t819 @t818) @t257))))))) % 35.14/35.35 (assume @p726 (forall @t49 (=> @t483 (or @t54 @t817 (tptp.c_Polynomial_Opos__poly @t18 @t63))))) % 35.14/35.35 (assume @p727 (forall @t824 (=> @t823 (=> @t822 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t257 @t21) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t760 @t79)))))) % 35.14/35.35 (assume @p728 (forall @t824 (=> @t823 (=> @t822 (=> @t825 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t79 @t760)))))) % 35.14/35.35 (assume @p729 (forall @t830 (=> @t829 (=> @t827 (=> @t826 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t820)))))) % 35.14/35.35 (assume @p730 (forall @t780 (=> @t832 (=> @t831 (= @t270 @t771))))) % 35.14/35.35 (assume @p731 (forall @t190 (=> @t792 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t181 @t174) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t183 @t174))))) % 35.14/35.35 (assume @p732 (forall @t780 (or @t832 @t831))) % 35.14/35.35 (assume @p733 (forall (@list @t771) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t771))) % 35.14/35.35 (assume @p734 (forall @t841 (=> @t840 (=> @t837 (=> @t836 (=> @t835 (=> @t826 (=> @t834 @t833)))))))) % 35.14/35.35 (assume @p735 (forall @t844 (=> @t843 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t257 @t761) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t99 @t257) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t99 @t818) @t842)))))) % 35.14/35.35 (assume @p736 (forall @t841 (=> @t840 (=> @t829 (=> @t827 (=> @t825 (=> @t826 (=> @t834 @t842)))))))) % 35.14/35.35 (assume @p737 (forall @t844 (=> @t843 (=> @t835 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t818 @t99) (=> @t836 @t833)))))) % 35.14/35.35 (assume @p738 (forall @t830 (=> @t837 (=> @t835 (=> @t826 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t820 @t761)))))) % 35.14/35.35 (assume @p739 (forall (@list @t105 @t61) (=> @t845 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 (tptp.hAPP @t735 @t105))))) % 35.14/35.35 (assume @p740 (forall @t166 (=> @t845 (=> @t846 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 (tptp.hAPP (tptp.hAPP @t737 @t61) @t164)))))) % 35.14/35.35 (assume @p741 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t761)) % 35.14/35.35 (assume @p742 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t760)) % 35.14/35.35 (assume @p743 (forall @t166 (=> @t845 (=> @t846 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t61 @t164)))))) % 35.14/35.35 (assume @p744 (forall @t851 (=> @t45 (=> (forall @t850 (=> @t849 @t848)) @t108)))) % 35.14/35.35 (assume @p745 (forall @t264 (=> @t524 (and (=> @t855 (= @t853 @t74)) (=> @t856 (= @t853 @t450)))))) % 35.14/35.35 (assume @p746 (forall @t264 (=> @t524 (tptp.c_Rings_Odvd__class_Odvd @t19 @t852 @t61)))) % 35.14/35.35 (assume @p747 (forall @t264 (=> @t524 (tptp.c_Rings_Odvd__class_Odvd @t19 @t852 @t164)))) % 35.14/35.35 (assume @p748 (forall @t78 (=> @t524 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t61 @t467) @t467)))) % 35.14/35.35 (assume @p749 (forall @t491 (=> @t524 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t467 @t164) @t467)))) % 35.14/35.35 (assume @p750 (forall @t264 (=> @t524 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t857 @t164) @t852)))) % 35.14/35.35 (assume @p751 (forall @t264 (=> @t524 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t61 @t858) @t852)))) % 35.14/35.35 (assume @p752 (forall (@list @t123 @t121 @t196 @t13) (=> @t522 (= (tptp.c_Rings_Odvd__class_Odvd @t29 @t196 @t859) (and (tptp.c_Rings_Odvd__class_Odvd @t29 @t196 @t121) (tptp.c_Rings_Odvd__class_Odvd @t29 @t196 @t123)))))) % 35.14/35.35 (assume @p753 (forall (@list @t164 @t61 @t174 @t18) (=> @t524 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t174 @t61) (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t174 @t164) (tptp.c_Rings_Odvd__class_Odvd @t19 @t174 @t852)))))) % 35.14/35.35 (assume @p754 (forall @t125 (=> @t522 (= (= @t859 @t30) (and (= @t121 @t30) @t789))))) % 35.14/35.35 (assume @p755 (forall @t67 (=> @t524 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t20 @t20) @t20)))) % 35.14/35.35 (assume @p756 (forall @t126 (=> @t524 (= @t860 (tptp.c_Polynomial_Opoly__gcd @t18 @t99 @t21))))) % 35.14/35.35 (assume @p757 (forall @t140 (=> @t524 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t99 (tptp.c_Polynomial_Opoly__gcd @t18 @t21 @t110)) @t861)))) % 35.14/35.35 (assume @p758 (forall @t143 (=> @t524 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t860 @t110) @t861)))) % 35.14/35.35 (assume @p759 (forall (@list @t164 @t61 @t215 @t18) (=> @t524 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t215 @t61) (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t215 @t164) (=> (forall @t202 (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t200 @t61) (=> (tptp.c_Rings_Odvd__class_Odvd @t19 @t200 @t164) (tptp.c_Rings_Odvd__class_Odvd @t19 @t200 @t215)))) (=> (and (=> @t855 (= @t862 @t74)) (=> @t856 (= @t862 @t450))) (= @t852 @t215)))))))) % 35.14/35.35 (assume @p760 (forall (@list @t196 @t526 @t369) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t761 @t369) (=> (forall @t6 (=> @t527 (tptp.hBOOL (tptp.hAPP @t526 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t369))))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t196) (forall @t6 (=> @t527 (tptp.hBOOL (tptp.hAPP @t526 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 (tptp.hAPP @t765 @t369))))))))))) % 35.14/35.35 (assume @p761 (forall (@list @t157 @t526) (=> (not (tptp.hBOOL (tptp.hAPP @t526 @t44))) (=> (tptp.hBOOL @t723) (exists @t202 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t200 @t157) (forall @t850 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t847 @t200) (not (tptp.hBOOL (tptp.hAPP @t526 @t847))))) (tptp.hBOOL (tptp.hAPP @t526 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t200 @t462))))))))) % 35.14/35.35 (assume @p762 (forall @t78 (=> @t524 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t61 @t20) @t864)))) % 35.14/35.35 (assume @p763 (forall @t126 (=> @t868 (=> @t76 (=> @t439 (= @t867 (tptp.hAPP (tptp.hAPP @t330 @t866) @t865))))))) % 35.14/35.35 (assume @p764 (forall @t46 (=> @t868 (=> @t76 @t869)))) % 35.14/35.35 (assume @p765 (forall @t126 (=> @t868 (=> (= @t338 @t450) (= @t865 @t99))))) % 35.14/35.35 (assume @p766 (forall @t618 (=> @t868 (=> @t76 @t870)))) % 35.14/35.35 (assume @p767 (forall @t67 (=> @t868 (= (tptp.c_Rings_Oinverse__class_Oinverse @t18 @t450) @t450)))) % 35.14/35.35 (assume @p768 (forall @t46 (=> @t871 @t869))) % 35.14/35.35 (assume @p769 (forall @t67 (=> @t871 @t872))) % 35.14/35.35 (assume @p770 (forall @t130 (=> @t874 (= (= @t873 @t82) @t94)))) % 35.14/35.35 (assume @p771 (forall @t46 (=> @t868 (=> @t76 (not @t875))))) % 35.14/35.35 (assume @p772 (forall @t46 (=> @t868 (=> @t76 @t876)))) % 35.14/35.35 (assume @p773 (forall @t46 (=> @t868 (=> @t875 @t75)))) % 35.14/35.35 (assume @p774 (forall @t126 (=> @t868 (=> @t877 (=> @t76 (=> @t439 @t291)))))) % 35.14/35.35 (assume @p775 (forall @t46 (=> @t871 @t876))) % 35.14/35.35 (assume @p776 (forall @t119 (=> @t874 (= (= @t873 (tptp.c_Rings_Oinverse__class_Oinverse @t13 @t10)) @t12)))) % 35.14/35.35 (assume @p777 (forall @t126 (=> @t871 (=> @t877 @t291)))) % 35.14/35.35 (assume @p778 (forall @t618 (=> @t871 @t870))) % 35.14/35.35 (assume @p779 (forall @t126 (=> @t868 (=> @t76 (=> @t439 (= @t879 (tptp.hAPP (tptp.hAPP @t330 (tptp.hAPP @t878 @t101)) @t866))))))) % 35.14/35.35 (assume @p780 (forall @t46 (=> @t868 (=> @t76 (= (tptp.hAPP @t331 @t865) @t450))))) % 35.14/35.35 (assume @p781 (forall @t46 (=> @t868 @t880))) % 35.14/35.35 (assume @p782 (forall (@list @t257 @t79 @t164 @t61 @t21 @t18) (=> @t524 (=> @t76 (=> @t805 (tptp.c_Polynomial_Opdivmod__rel @t18 @t61 @t881 (tptp.c_Polynomial_Osmult @t18 @t865 @t79) @t257)))))) % 35.14/35.35 (assume @p783 (forall @t46 (=> @t882 (=> @t637 (=> @t695 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t450 @t865)))))) % 35.14/35.35 (assume @p784 (forall @t135 (=> @t885 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t884 @t468) (or @t883 (tptp.c_Orderings_Oord__class_Oless @t13 @t468 @t121)))))) % 35.14/35.35 (assume @p785 (forall @t67 (=> @t886 @t872))) % 35.14/35.35 (assume @p786 (forall @t126 (=> @t886 (= @t867 (tptp.hAPP @t878 @t866))))) % 35.14/35.35 (assume @p787 (forall @t135 (=> (tptp.class_Fields_Ofield__inverse__zero @t13) (= (= @t884 @t468) @t469)))) % 35.14/35.35 (assume @p788 (forall @t130 (=> @t885 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t873 @t82) @t127)))) % 35.14/35.35 (assume @p789 (forall @t130 (=> @t885 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t82 @t873) @t132)))) % 35.14/35.35 (assume @p790 (forall @t130 (=> @t885 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t82 @t873) @t647)))) % 35.14/35.35 (assume @p791 (forall @t130 (=> @t885 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t873 @t82) @t645)))) % 35.14/35.35 (assume @p792 (forall @t46 (=> @t882 (=> @t637 @t887)))) % 35.14/35.35 (assume @p793 (forall @t46 (=> @t882 (=> @t887 (=> @t76 @t637))))) % 35.14/35.35 (assume @p794 (forall @t46 (=> @t882 (=> @t631 @t888)))) % 35.14/35.35 (assume @p795 (forall @t126 (=> @t882 (=> @t565 (=> @t637 @t889))))) % 35.14/35.35 (assume @p796 (forall @t126 (=> @t882 (=> @t565 (=> @t630 @t889))))) % 35.14/35.35 (assume @p797 (forall @t46 (=> @t882 (=> @t888 (=> @t76 @t631))))) % 35.14/35.35 (assume @p798 (forall @t126 (=> @t882 (=> @t890 (=> @t637 @t564))))) % 35.14/35.35 (assume @p799 (forall @t126 (=> @t882 (=> @t890 (=> @t630 @t564))))) % 35.14/35.35 (assume @p800 (forall @t126 (=> @t882 (=> @t891 (=> @t630 @t246))))) % 35.14/35.35 (assume @p801 (forall @t126 (=> @t882 (=> @t891 (=> @t637 @t246))))) % 35.14/35.35 (assume @p802 (forall @t126 (=> @t882 (=> @t208 (=> @t630 @t892))))) % 35.14/35.35 (assume @p803 (forall @t126 (=> @t882 (=> @t208 (=> @t637 @t892))))) % 35.14/35.35 (assume @p804 (forall @t135 (=> @t885 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t884 @t468) (or @t883 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t468 @t121)))))) % 35.14/35.35 (assume @p805 (forall @t126 (=> @t524 (=> @t76 (=> @t439 (= @t879 (tptp.hAPP (tptp.hAPP @t330 (tptp.hAPP @t363 @t865)) @t866))))))) % 35.14/35.35 (assume @p806 (forall @t135 (=> @t885 (= (tptp.c_Orderings_Oord__class_Oless @t13 @t468 @t884) (and @t893 (tptp.c_Orderings_Oord__class_Oless @t13 @t121 @t468)))))) % 35.14/35.35 (assume @p807 (forall @t46 (=> @t882 (=> @t637 (=> @t699 (tptp.c_Orderings_Oord__class_Oless @t18 @t450 @t865)))))) % 35.14/35.35 (assume @p808 (forall @t46 (=> @t524 @t880))) % 35.14/35.35 (assume @p809 (forall @t135 (=> @t885 (= (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t468 @t884) (and @t893 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t121 @t468)))))) % 35.14/35.35 (assume @p810 (forall @t297 (=> @t524 (and (=> @t854 (= @t852 @t864)) @t896)))) % 35.14/35.35 (assume @p811 (forall @t264 (=> (tptp.class_Fields_Olinordered__field__inverse__zero @t18) (=> (forall (@list @t897) (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t74 @t897) (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t897 @t450) (tptp.c_Orderings_Oord__class_Oless__eq @t18 (tptp.hAPP (tptp.hAPP @t330 @t897) @t61) @t164)))) @t262)))) % 35.14/35.35 (assume @p812 (forall @t898 (=> @t524 (=> @t76 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t61 @t881) @t894))))) % 35.14/35.35 (assume @p813 (forall @t264 (=> @t524 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t863 @t899) (= @t894 @t61))))) % 35.14/35.35 (assume @p814 (forall (@list @t257 @t79 @t164 @t61 @t18) (=> @t524 (=> @t805 (= @t894 @t257))))) % 35.14/35.35 (assume @p815 (forall @t264 (=> @t524 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t857 @t164) (tptp.c_Groups_Ouminus__class_Ouminus @t19 @t894))))) % 35.14/35.35 (assume @p816 (forall @t264 (=> @t524 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t61 @t858) @t894)))) % 35.14/35.35 (assume @p817 (forall @t898 (=> @t524 (= (tptp.c_Divides_Odiv__class_Omod @t19 @t804 @t164) (tptp.c_Polynomial_Osmult @t18 @t21 @t894))))) % 35.14/35.35 (assume @p818 (forall @t143 (=> @t902 (= @t901 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t331 @t900) @t110))))) % 35.14/35.35 (assume @p819 (forall @t143 (=> @t902 (= @t901 @t905)))) % 35.14/35.35 (assume @p820 (forall @t143 (=> @t902 (= @t901 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t904 @t900) @t110))))) % 35.14/35.35 (assume @p821 (forall @t212 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t399 @t398) (tptp.hAPP @t397 @t906))))) % 35.14/35.35 (assume @p822 (forall @t214 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t365 @t355) (tptp.hAPP (tptp.hAPP @t330 @t906) @t110))))) % 35.14/35.35 (assume @p823 (forall @t214 (=> @t902 (= @t905 @t901)))) % 35.14/35.35 (assume @p824 (forall @t909 (=> @t902 (=> @t908 (=> @t907 (= @t901 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t498 @t492) @t110))))))) % 35.14/35.35 (assume @p825 (forall @t126 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t906 @t99) @t906)))) % 35.14/35.35 (assume @p826 (forall (@list @t159 @t157 @t196 @t13) (=> @t910 (=> (tptp.c_Rings_Odvd__class_Odvd @t13 @t196 @t157) (= (tptp.c_Rings_Odvd__class_Odvd @t13 @t196 (tptp.c_Divides_Odiv__class_Omod @t13 @t159 @t157)) (tptp.c_Rings_Odvd__class_Odvd @t13 @t196 @t159)))))) % 35.14/35.35 (assume @p827 (forall @t248 (=> @t902 (=> (tptp.c_Rings_Odvd__class_Odvd @t18 @t110 @t99) (= (tptp.c_Divides_Odiv__class_Omod @t18 @t906 @t110) @t903))))) % 35.14/35.35 (assume @p828 (forall @t914 (=> @t902 (=> @t913 (=> @t912 @t911))))) % 35.14/35.35 (assume @p829 (forall @t914 (=> @t902 (=> @t911 (=> @t912 @t913))))) % 35.14/35.35 (assume @p830 (forall @t46 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t21 @t450) @t74)))) % 35.14/35.35 (assume @p831 (forall @t119 (=> @t910 (= @t515 (= (tptp.c_Divides_Odiv__class_Omod @t13 @t10 @t11) @t82))))) % 35.14/35.35 (assume @p832 (forall @t126 (=> @t902 (=> @t506 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t99 @t21) @t74))))) % 35.14/35.35 (assume @p833 (forall @t46 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t74 @t21) @t74)))) % 35.14/35.35 (assume @p834 (forall @t46 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t21 @t74) @t21)))) % 35.14/35.35 (assume @p835 (forall @t46 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t21 @t21) @t74)))) % 35.14/35.35 (assume @p836 (forall @t126 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t101 @t99) @t906)))) % 35.14/35.35 (assume @p837 (forall @t566 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t138 @t99) @t906)))) % 35.14/35.35 (assume @p838 (forall @t143 (=> @t902 (= @t916 @t915)))) % 35.14/35.35 (assume @p839 (forall @t143 (=> @t902 (= @t916 @t917)))) % 35.14/35.35 (assume @p840 (forall @t143 (=> @t902 (= @t916 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.c_Groups_Oplus__class_Oplus @t18 @t903 @t900) @t110))))) % 35.14/35.35 (assume @p841 (forall @t143 (=> @t902 (= @t915 @t916)))) % 35.14/35.35 (assume @p842 (forall @t214 (=> @t902 (= @t917 @t916)))) % 35.14/35.35 (assume @p843 (forall @t909 (=> @t902 (=> @t908 (=> @t907 (= @t916 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.c_Groups_Oplus__class_Oplus @t18 @t497 @t492) @t110))))))) % 35.14/35.35 (assume @p844 (forall (@list @t497 @t99 @t21 @t18) (=> @t919 (=> (= @t906 (tptp.c_Divides_Odiv__class_Omod @t18 @t497 @t99)) (= @t918 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t497) @t99)))))) % 35.14/35.35 (assume @p845 (forall @t126 (=> @t919 (= @t918 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t906) @t99))))) % 35.14/35.35 (assume @p846 (forall @t214 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t398) @t99) @t906)))) % 35.14/35.35 (assume @p847 (forall @t143 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.c_Groups_Oplus__class_Oplus @t18 @t21 @t355) @t99) @t906)))) % 35.14/35.35 (assume @p848 (forall @t566 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t337 @t99) @t74)))) % 35.14/35.35 (assume @p849 (forall @t126 (=> @t902 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t338 @t99) @t74)))) % 35.14/35.35 (assume @p850 (forall @t297 (=> @t524 @t896))) % 35.14/35.35 (assume @p851 (forall @t297 (=> @t524 (=> @t895 (or (= @t894 @t20) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t18 @t894) @t899)))))) % 35.14/35.35 (assume @p852 (forall @t851 (=> @t45 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t105 @t50) (exists @t850 (and @t849 (not @t848))))))) % 35.14/35.35 (assume @p853 (forall @t759 (=> @t473 (=> @t543 (= (tptp.hAPP (tptp.hAPP @t330 (tptp.hAPP @t579 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 @t462))) @t61) @t744))))) % 35.14/35.35 (assume @p854 (forall (@list @t164 @t154 @t61) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t734 @t920) @t164) @t154) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t736 @t154)))) % 35.14/35.35 (assume @p855 (forall @t423 (= (tptp.hAPP @t420 @t921) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t422 @t421)))) % 35.14/35.35 (assume @p856 (forall @t274 (= (tptp.hAPP (tptp.hAPP @t404 @t921) @t174) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t426 @t425)))) % 35.14/35.35 (assume @p857 (forall @t715 (= @t923 @t922))) % 35.14/35.35 (assume @p858 (forall @t715 (= @t922 @t923))) % 35.14/35.35 (assume @p859 (forall @t156 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t921 @t154))) % 35.14/35.35 (assume @p860 (forall @t204 (=> @t189 @t925))) % 35.14/35.35 (assume @p861 (forall @t143 (=> @t919 (= @t927 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.c_Groups_Ominus__class_Ominus @t18 @t21 @t900) @t110))))) % 35.14/35.35 (assume @p862 (forall @t143 (=> @t919 (= @t927 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.c_Groups_Ominus__class_Ominus @t18 @t903 @t99) @t110))))) % 35.14/35.35 (assume @p863 (forall @t143 (=> @t919 (= @t927 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.c_Groups_Ominus__class_Ominus @t18 @t903 @t900) @t110))))) % 35.14/35.35 (assume @p864 (forall @t909 (=> @t919 (=> @t908 (=> @t907 (= @t927 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.c_Groups_Ominus__class_Ominus @t18 @t497 @t492) @t110))))))) % 35.14/35.35 (assume @p865 (forall @t156 (= @t929 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t928 @t105)))) % 35.14/35.35 (assume @p866 (forall (@list @t105 @t154 @t931) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t931 @t154) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t931 @t105) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t931 @t930))))) % 35.14/35.35 (assume @p867 (forall @t423 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t174 @t930) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t174 @t105) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t174 @t154))))) % 35.14/35.35 (assume @p868 (forall @t156 @t932)) % 35.14/35.35 (assume @p869 (forall @t156 @t933)) % 35.14/35.35 (assume @p870 (forall @t156 (and @t932 @t933))) % 35.14/35.35 (assume @p871 (forall @t936 (=> @t935 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t99 @t934)))) % 35.14/35.35 (assume @p872 (forall @t204 (=> @t543 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t921 @t105)))) % 35.14/35.35 (assume @p873 (forall @t936 (=> @t938 @t937))) % 35.14/35.35 (assume @p874 (forall @t163 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t154 @t229) @t44))) % 35.14/35.35 (assume @p875 (forall @t156 (and (=> @t939 (= @t929 @t44)) (=> (not @t939) (= @t929 @t928))))) % 35.14/35.35 (assume @p876 (forall (@list @t21) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t21) @t761))) % 35.14/35.35 (assume @p877 (forall (@list @t99) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t761 @t99) @t761))) % 35.14/35.35 (assume @p878 (forall @t712 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t21 @t941) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t940 @t99))))) % 35.14/35.35 (assume @p879 (forall @t712 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t940 @t941) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t934)))) % 35.14/35.35 (assume @p880 (forall (@list @t154 @t61) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t920) @t154) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t61) @t154)))) % 35.14/35.35 (assume @p881 (forall @t943 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t174 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t180)) @t761)) @t942))) % 35.14/35.35 (assume @p882 (forall @t943 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t174) @t180) @t761)) @t942))) % 35.14/35.35 (assume @p883 (forall (@list @t174 @t154) (=> @t811 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t154 @t174) @t154)))) % 35.14/35.35 (assume @p884 (forall @t166 (=> @t845 (=> @t846 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t61 @t164)))))) % 35.14/35.35 (assume @p885 (forall @t945 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t159 @t369) @t761) (exists @t944 (= @t159 (tptp.hAPP (tptp.hAPP @t737 @t369) @t47)))))) % 35.14/35.35 (assume @p886 (forall @t947 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t946 @t105) @t921))) % 35.14/35.35 (assume @p887 (forall @t945 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t159 @t369) @t44) (exists @t944 (= @t159 (tptp.hAPP (tptp.hAPP @t404 @t369) @t47)))))) % 35.14/35.35 (assume @p888 (forall @t119 (=> @t129 (= @t220 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t948 @t82))))) % 35.14/35.35 (assume @p889 (forall @t162 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t159 @t157) @t44) @t195))) % 35.14/35.35 (assume @p890 (forall @t156 (=> @t176 @t949))) % 35.14/35.35 (assume @p891 (forall @t204 (=> @t189 (= @t950 (tptp.c_Nat_OSuc @t924))))) % 35.14/35.35 (assume @p892 (forall @t199 (=> @t954 (=> @t953 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t952 @t951) @t605))))) % 35.14/35.35 (assume @p893 (forall @t715 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t21 @t99) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t110 @t21) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t21 @t110) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t99 @t110)))))) % 35.14/35.35 (assume @p894 (forall @t423 (=> @t956 (=> @t955 (=> @t189 @t544))))) % 35.14/35.35 (assume @p895 (forall @t423 (=> @t956 (=> @t544 (=> @t189 @t955))))) % 35.14/35.35 (assume @p896 (forall @t959 (=> @t958 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t183 @t957) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t184 @t181))))) % 35.14/35.35 (assume @p897 (forall (@list @t960 @t196 @t962) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t963 @t960) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t962 @t961)))) % 35.14/35.35 (assume @p898 (forall @t947 (=> @t175 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t154 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t203 @t174))))) % 35.14/35.35 (assume @p899 (forall @t204 (=> @t189 @t964))) % 35.14/35.35 (assume @p900 (forall @t959 (=> @t958 (= @t966 @t965)))) % 35.14/35.35 (assume @p901 (forall (@list @t960 @t962 @t196) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t196 @t962) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t960 @t963) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t961 @t962))))) % 35.14/35.35 (assume @p902 (forall @t204 (=> @t189 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t924 @t105) @t154)))) % 35.14/35.35 (assume @p903 (forall @t967 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t960 @t962) (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t962 @t960) @t196) (= @t962 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t196 @t960)))))) % 35.14/35.35 (assume @p904 (forall @t959 (=> @t958 (= @t965 @t966)))) % 35.14/35.35 (assume @p905 (forall @t959 (=> @t958 (= @t969 @t968)))) % 35.14/35.35 (assume @p906 (forall @t959 (=> @t958 (= @t968 @t969)))) % 35.14/35.35 (assume @p907 (forall @t156 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t924 @t154))) % 35.14/35.35 (assume @p908 (forall @t972 (=> @t176 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t971 @t970)))) % 35.14/35.35 (assume @p909 (forall @t972 (=> @t176 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t154 @t180) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 @t180))))) % 35.14/35.35 (assume @p910 (forall @t738 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t183 @t105) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 @t183)) @t183)))) % 35.14/35.35 (assume @p911 (forall @t199 (=> @t954 (=> @t953 (= (= @t952 @t951) @t275))))) % 35.14/35.35 (assume @p912 (forall @t423 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 @t154) (=> @t175 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t154 @t174) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 @t174)) @t924))))) % 35.14/35.35 (assume @p913 (forall @t199 (=> @t954 (=> @t953 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t952 @t951) @t195))))) % 35.14/35.35 (assume @p914 (forall @t373 (=> @t129 (=> @t973 (= @t220 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t144 @t369)))))) % 35.14/35.35 (assume @p915 (forall @t274 (= (tptp.hAPP (tptp.hAPP @t404 @t924) @t174) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t426 @t425)))) % 35.14/35.35 (assume @p916 (forall @t423 (= (tptp.hAPP @t420 @t924) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t422 @t421)))) % 35.14/35.35 (assume @p917 (forall @t494 (=> @t453 (= (tptp.hAPP @t331 (tptp.c_Groups_Ominus__class_Ominus @t18 @t99 @t492)) (tptp.c_Groups_Ominus__class_Ominus @t18 @t338 @t493))))) % 35.14/35.35 (assume @p918 (forall @t496 (=> @t453 (= (tptp.hAPP @t455 @t974) (tptp.c_Groups_Ominus__class_Ominus @t18 @t456 @t495))))) % 35.14/35.35 (assume @p919 (forall @t500 (=> @t453 (= (tptp.hAPP (tptp.hAPP @t330 (tptp.c_Groups_Ominus__class_Ominus @t18 @t21 @t497)) @t99) (tptp.c_Groups_Ominus__class_Ominus @t18 @t338 @t499))))) % 35.14/35.35 (assume @p920 (forall @t461 (=> @t453 (= (tptp.hAPP (tptp.hAPP @t330 @t974) @t457) (tptp.c_Groups_Ominus__class_Ominus @t18 @t459 @t458))))) % 35.14/35.35 (assume @p921 (forall @t660 (=> @t64 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t975) @t105) (tptp.c_Groups_Ominus__class_Ominus @t18 @t548 @t659))))) % 35.14/35.35 (assume @p922 (forall @t373 (=> @t73 (=> @t973 (= @t12 @t372))))) % 35.14/35.35 (assume @p923 (forall @t190 (= @t976 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t183 @t174) @t181)))) % 35.14/35.35 (assume @p924 (forall @t98 (=> @t85 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t975) @t61) (tptp.c_Groups_Ominus__class_Ominus @t18 @t89 @t97))))) % 35.14/35.35 (assume @p925 (forall @t102 (=> @t85 (= (tptp.c_Polynomial_Osmult @t18 @t926 @t39) (tptp.c_Groups_Ominus__class_Ominus @t19 @t68 @t100))))) % 35.14/35.35 (assume @p926 (forall @t104 (=> @t64 (= (tptp.c_Groups_Ominus__class_Ominus @t19 @t41 @t103) (tptp.c_Polynomial_OpCons @t18 @t926 @t975))))) % 35.14/35.35 (assume @p927 (forall (@list @t121 @t977 @t304 @t278 @t13) (=> (tptp.class_Groups_Ominus @t13) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t306 @t304 @t977) @t121) (tptp.c_Groups_Ominus__class_Ominus @t13 @t305 (tptp.hAPP @t977 @t121)))))) % 35.14/35.35 (assume @p928 (forall @t274 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t950 (tptp.c_Nat_OSuc @t174)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t924 @t174)))) % 35.14/35.35 (assume @p929 (forall @t156 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t171 @t169) @t924))) % 35.14/35.35 (assume @p930 (forall @t156 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t154 @t169) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t154 @t462) @t105)))) % 35.14/35.35 (assume @p931 (forall @t113 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t169 @t462) @t105))) % 35.14/35.35 (assume @p932 (forall @t967 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t960 @t963) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t961 @t962)))) % 35.14/35.35 (assume @p933 (forall @t156 (=> @t597 @t964))) % 35.14/35.35 (assume @p934 (forall @t204 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 @t203) @t44))) % 35.14/35.35 (assume @p935 (forall @t156 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t924 @t171))) % 35.14/35.35 (assume @p936 (forall @t204 (=> @t543 (=> @t542 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t924 @t154))))) % 35.14/35.35 (assume @p937 (forall @t240 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t157 @t159)) @t605))) % 35.14/35.35 (assume @p938 (forall @t423 (=> @t955 (=> @t544 @t956)))) % 35.14/35.35 (assume @p939 (forall (@list @t105 @t174 @t181) (=> @t599 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t181 @t105) @t174)))) % 35.14/35.35 (assume @p940 (forall @t972 (=> @t537 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t154 @t180) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t971 @t970))))) % 35.14/35.35 (assume @p941 (forall @t373 (=> @t129 (=> @t973 (= @t591 (tptp.c_Orderings_Oord__class_Oless @t13 @t144 @t369)))))) % 35.14/35.35 (assume @p942 (forall @t296 (=> @t452 (=> @t745 (=> (tptp.c_Rings_Odvd__class_Odvd @t18 @t61 @t270) (tptp.c_Rings_Odvd__class_Odvd @t18 @t61 (tptp.c_Groups_Ominus__class_Ominus @t18 @t164 @t270))))))) % 35.14/35.35 (assume @p943 (forall @t113 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t44 @t105) @t44))) % 35.14/35.35 (assume @p944 (forall @t163 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t154 @t44) @t154))) % 35.14/35.35 (assume @p945 (forall @t163 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t154 @t154) @t44))) % 35.14/35.35 (assume @p946 (forall @t156 (=> @t949 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t105 @t154) @t44) @t188)))) % 35.14/35.35 (assume @p947 (forall @t156 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t155 @t105) @t154))) % 35.14/35.35 (assume @p948 (forall @t204 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t203 @t105) @t154))) % 35.14/35.35 (assume @p949 (forall @t190 (= @t976 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t183 @t191)))) % 35.14/35.35 (assume @p950 (forall @t423 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t174 @t154) @t611) @t924))) % 35.14/35.35 (assume @p951 (forall @t179 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t177 @t273) @t924))) % 35.14/35.35 (assume @p952 (forall @t126 (=> @t64 (= (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t926) @t978)))) % 35.14/35.35 (assume @p953 (forall @t126 (=> @t114 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t926 @t99) @t21)))) % 35.14/35.35 (assume @p954 (forall @t126 (=> @t114 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t101 @t99) @t21)))) % 35.14/35.35 (assume @p955 (forall @t46 (=> @t114 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t21 @t74) @t21)))) % 35.14/35.35 (assume @p956 (forall @t46 (=> @t114 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t21 @t21) @t74)))) % 35.14/35.35 (assume @p957 (forall @t119 (=> @t73 (= @t12 @t979)))) % 35.14/35.35 (assume @p958 (forall @t119 (=> @t118 (= @t979 @t12)))) % 35.14/35.35 (assume @p959 (forall @t264 (=> @t452 (= @t974 (tptp.c_Groups_Oplus__class_Oplus @t18 @t61 @t261))))) % 35.14/35.35 (assume @p960 (forall @t126 (=> @t114 @t980))) % 35.14/35.35 (assume @p961 (forall @t126 (=> @t64 @t980))) % 35.14/35.35 (assume @p962 (forall @t126 (=> @t114 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t21 @t226) @t101)))) % 35.14/35.35 (assume @p963 (forall @t46 (=> @t114 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t74 @t21) @t72)))) % 35.14/35.35 (assume @p964 (forall @t987 (=> @t986 (= @t985 (= @t144 @t982))))) % 35.14/35.35 (assume @p965 (forall @t987 (=> @t986 (= @t985 (= @t988 @t369))))) % 35.14/35.35 (assume @p966 (forall @t993 (=> @t444 (= @t992 (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP @t334 @t991) @t990))))) % 35.14/35.35 (assume @p967 (forall @t993 (=> @t453 (= @t992 (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP @t989 @t991) @t990) (tptp.hAPP @t331 @t991)))))) % 35.14/35.35 (assume @p968 (forall @t119 (=> @t129 (= @t591 (tptp.c_Orderings_Oord__class_Oless @t13 @t948 @t82))))) % 35.14/35.35 (assume @p969 (forall @t987 (=> @t995 (= @t994 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t988 @t369))))) % 35.14/35.35 (assume @p970 (forall @t987 (=> @t995 (= @t994 (tptp.c_Orderings_Oord__class_Oless__eq @t13 @t144 @t982))))) % 35.14/35.35 (assume @p971 (forall @t987 (=> @t995 (= @t996 (tptp.c_Orderings_Oord__class_Oless @t13 @t144 @t982))))) % 35.14/35.35 (assume @p972 (forall @t987 (=> @t995 (= @t996 (tptp.c_Orderings_Oord__class_Oless @t13 @t988 @t369))))) % 35.14/35.35 (assume @p973 (forall @t78 (=> @t758 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t335 @t450) (tptp.hAPP (tptp.hAPP @t330 (tptp.c_Groups_Oplus__class_Oplus @t18 @t61 @t450)) (tptp.c_Groups_Ominus__class_Ominus @t18 @t61 @t450)))))) % 35.14/35.35 (assume @p974 (forall (@list @t764 @t997 @t369 @t13) (=> (and (tptp.class_Rings_Ocomm__ring @t13) @t528) (=> (tptp.c_Rings_Odvd__class_Odvd @t13 @t369 @t997) (forall (@list @t3 @t200) (= (tptp.c_Rings_Odvd__class_Odvd @t13 @t369 (tptp.c_Groups_Oplus__class_Oplus @t13 @t3 @t764)) (tptp.c_Rings_Odvd__class_Odvd @t13 @t369 (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.c_Groups_Ominus__class_Ominus @t13 @t3 (tptp.hAPP (tptp.hAPP @t360 @t200) @t997)) @t764)))))))) % 35.14/35.35 (assume @p975 (forall @t126 (=> @t868 (=> @t76 (=> @t439 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t865 @t866) (tptp.hAPP (tptp.hAPP @t330 (tptp.hAPP @t878 @t978)) @t866))))))) % 35.14/35.35 (assume @p976 (forall @t204 (=> @t543 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t921 @t105)))) % 35.14/35.35 (assume @p977 (forall @t947 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t946) @t105) @t929))) % 35.14/35.35 (assume @p978 (forall @t936 (=> @t938 @t998))) % 35.14/35.35 (assume @p979 (forall @t936 (=> @t938 (and @t998 @t937)))) % 35.14/35.35 (assume @p980 (forall @t712 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t21) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t21 @t99) (= @t934 @t21))))) % 35.14/35.35 (assume @p981 (forall @t936 (=> @t935 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t934 @t761)))) % 35.14/35.35 (assume @p982 (forall @t1001 (=> @t1000 (tptp.class_Groups_Oab__semigroup__mult @t999)))) % 35.14/35.35 (assume @p983 (forall @t1001 (=> @t1000 (tptp.class_Groups_Oab__semigroup__add @t999)))) % 35.14/35.35 (assume @p984 @t1003) % 35.14/35.35 (assume @p985 (forall @t1001 (=> @t1000 (tptp.class_Rings_Ocomm__semiring @t999)))) % 35.14/35.35 (assume @p986 (forall @t1001 (=> @t1000 (tptp.class_Groups_Omonoid__add @t999)))) % 35.14/35.35 (assume @p987 (forall @t1001 (=> @t1000 (tptp.class_Rings_Osemiring__0 @t999)))) % 35.14/35.35 (assume @p988 (forall @t1001 (=> @t1000 (tptp.class_Rings_Omult__zero @t999)))) % 35.14/35.35 (assume @p989 (forall @t1001 (=> @t1000 (tptp.class_Rings_Osemiring @t999)))) % 35.14/35.35 (assume @p990 @t1005) % 35.14/35.35 (assume @p991 (forall @t1009 (=> @t1008 (tptp.class_Groups_Ocancel__comm__monoid__add @t1007)))) % 35.14/35.35 (assume @p992 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool)) % 35.14/35.35 (assume @p993 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p994 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p995 (forall @t1013 (=> (and @t1012 (tptp.class_Enum_Oenum @t1006)) (tptp.class_Enum_Oenum @t1011)))) % 35.14/35.35 (assume @p996 (forall @t1014 (=> (tptp.class_Lattices_Oboolean__algebra @t1006) (tptp.class_Lattices_Oboolean__algebra @t1011)))) % 35.14/35.35 (assume @p997 (forall @t1014 (=> (tptp.class_Orderings_Opreorder @t1006) (tptp.class_Orderings_Opreorder @t1011)))) % 35.14/35.35 (assume @p998 (forall @t1014 (=> (tptp.class_Orderings_Oorder @t1006) (tptp.class_Orderings_Oorder @t1011)))) % 35.14/35.35 (assume @p999 (forall @t1014 (=> (tptp.class_Orderings_Oord @t1006) (tptp.class_Orderings_Oord @t1011)))) % 35.14/35.35 (assume @p1000 (forall @t1014 (=> (tptp.class_Groups_Ouminus @t1006) (tptp.class_Groups_Ouminus @t1011)))) % 35.14/35.35 (assume @p1001 (forall @t1014 (=> (tptp.class_Groups_Ominus @t1006) (tptp.class_Groups_Ominus @t1011)))) % 35.14/35.35 (assume @p1002 (forall @t1013 (=> (and @t1012 @t1015) (tptp.class_HOL_Oequal @t1011)))) % 35.14/35.35 (assume @p1003 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1004 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1005 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1006 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1007 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1008 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1009 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1010 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1011 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1012 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1013 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1014 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1015 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1016 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1017 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1018 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1019 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1020 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1021 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1022 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1023 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1024 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1025 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1026 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1027 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1028 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1029 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1030 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1031 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1032 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1033 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1034 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1035 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1036 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1037 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1038 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1039 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1040 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1041 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1042 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1043 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1044 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1045 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1046 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1047 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1048 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1049 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1050 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1051 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1052 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1053 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1054 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1055 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1056 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1057 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1058 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1059 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1060 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1061 (tptp.class_HOL_Oequal tptp.tc_Int_Oint)) % 35.14/35.35 (assume @p1062 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1063 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1064 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1065 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1066 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1067 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1068 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1069 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1070 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1071 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1072 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1073 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1074 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1075 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1076 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1077 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1078 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1079 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1080 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1081 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1082 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1083 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1084 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1085 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1086 @t1016) % 35.14/35.35 (assume @p1087 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1088 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1089 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1090 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1091 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1092 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1093 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1094 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1095 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1096 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1097 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1098 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1099 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1100 (tptp.class_HOL_Oequal tptp.tc_Nat_Onat)) % 35.14/35.35 (assume @p1101 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 35.14/35.35 (assume @p1102 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 35.14/35.35 (assume @p1103 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 35.14/35.35 (assume @p1104 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 35.14/35.35 (assume @p1105 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 35.14/35.35 (assume @p1106 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 35.14/35.35 (assume @p1107 (tptp.class_HOL_Oequal tptp.tc_HOL_Obool)) % 35.14/35.35 (assume @p1108 (forall @t1009 (=> @t1017 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1007)))) % 35.14/35.35 (assume @p1109 (forall @t1009 (=> @t1018 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1007)))) % 35.14/35.35 (assume @p1110 (forall @t1009 (=> @t1018 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1007)))) % 35.14/35.35 (assume @p1111 (forall @t1009 (=> @t1018 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1007)))) % 35.14/35.35 (assume @p1112 (forall @t1009 (=> @t1018 (tptp.class_Rings_Olinordered__semiring__1__strict @t1007)))) % 35.14/35.35 (assume @p1113 (forall @t1009 (=> @t1018 (tptp.class_Rings_Olinordered__semiring__strict @t1007)))) % 35.14/35.35 (assume @p1114 (forall @t1009 (=> @t1018 (tptp.class_Groups_Oordered__ab__semigroup__add @t1007)))) % 35.14/35.35 (assume @p1115 (forall @t1009 (=> @t1018 (tptp.class_Groups_Oordered__comm__monoid__add @t1007)))) % 35.14/35.35 (assume @p1116 (forall @t1009 (=> @t1018 (tptp.class_Groups_Olinordered__ab__group__add @t1007)))) % 35.14/35.35 (assume @p1117 (forall @t1009 (=> @t1008 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1007)))) % 35.14/35.35 (assume @p1118 (forall @t1009 (=> @t1017 (tptp.class_Rings_Oring__1__no__zero__divisors @t1007)))) % 35.14/35.35 (assume @p1119 (forall @t1009 (=> @t1018 (tptp.class_Rings_Oordered__cancel__semiring @t1007)))) % 35.14/35.35 (assume @p1120 (forall @t1009 (=> @t1018 (tptp.class_Rings_Olinordered__ring__strict @t1007)))) % 35.14/35.35 (assume @p1121 (forall @t1009 (=> @t1017 (tptp.class_Rings_Oring__no__zero__divisors @t1007)))) % 35.14/35.35 (assume @p1122 (forall @t1009 (=> @t1018 (tptp.class_Rings_Oordered__comm__semiring @t1007)))) % 35.14/35.35 (assume @p1123 (forall @t1009 (=> @t1018 (tptp.class_Rings_Olinordered__semiring__1 @t1007)))) % 35.14/35.35 (assume @p1124 (forall @t1009 (=> @t1018 (tptp.class_Groups_Oordered__ab__group__add @t1007)))) % 35.14/35.35 (assume @p1125 (forall @t1009 (=> @t1008 (tptp.class_Groups_Ocancel__semigroup__add @t1007)))) % 35.14/35.35 (assume @p1126 (forall @t1009 (=> @t1018 (tptp.class_Rings_Olinordered__semiring @t1007)))) % 35.14/35.35 (assume @p1127 (forall @t1009 (=> @t1018 (tptp.class_Rings_Olinordered__semidom @t1007)))) % 35.14/35.35 (assume @p1128 (forall @t1009 (=> @t1019 (tptp.class_Groups_Oab__semigroup__mult @t1007)))) % 35.14/35.35 (assume @p1129 (forall @t1009 (=> @t1020 (tptp.class_Groups_Ocomm__monoid__mult @t1007)))) % 35.14/35.35 (assume @p1130 (forall @t1009 (=> @t1021 (tptp.class_Groups_Oab__semigroup__add @t1007)))) % 35.14/35.35 (assume @p1131 (forall @t1009 (=> @t1018 (tptp.class_Rings_Oordered__semiring @t1007)))) % 35.14/35.35 (assume @p1132 (forall @t1009 (=> @t1017 (tptp.class_Rings_Ono__zero__divisors @t1007)))) % 35.14/35.35 (assume @p1133 (forall @t1009 (=> @t1021 (tptp.class_Groups_Ocomm__monoid__add @t1007)))) % 35.14/35.35 (assume @p1134 (forall @t1009 (=> @t1018 (tptp.class_Rings_Olinordered__ring @t1007)))) % 35.14/35.35 (assume @p1135 (forall @t1009 (=> @t1018 (tptp.class_Rings_Olinordered__idom @t1007)))) % 35.14/35.35 (assume @p1136 (forall @t1009 (=> @t1020 (tptp.class_Rings_Ocomm__semiring__1 @t1007)))) % 35.14/35.35 (assume @p1137 (forall @t1009 (=> @t1019 (tptp.class_Rings_Ocomm__semiring__0 @t1007)))) % 35.14/35.35 (assume @p1138 (forall @t1009 (=> @t1022 (tptp.class_Divides_Osemiring__div @t1007)))) % 35.14/35.35 (assume @p1139 (forall @t1009 (=> @t1019 (tptp.class_Rings_Ocomm__semiring @t1007)))) % 35.14/35.35 (assume @p1140 (forall @t1009 (=> @t1023 (tptp.class_Groups_Oab__group__add @t1007)))) % 35.14/35.35 (assume @p1141 (forall @t1009 (=> @t1020 (tptp.class_Rings_Ozero__neq__one @t1007)))) % 35.14/35.35 (assume @p1142 (forall @t1009 (=> @t1018 (tptp.class_Rings_Oordered__ring @t1007)))) % 35.14/35.35 (assume @p1143 (forall @t1009 (=> @t1018 (tptp.class_Orderings_Opreorder @t1007)))) % 35.14/35.35 (assume @p1144 (forall @t1009 (=> @t1018 (tptp.class_Orderings_Olinorder @t1007)))) % 35.14/35.35 (assume @p1145 (forall @t1009 (=> @t1020 (tptp.class_Groups_Omonoid__mult @t1007)))) % 35.14/35.35 (assume @p1146 (forall @t1009 (=> @t1024 (tptp.class_Rings_Ocomm__ring__1 @t1007)))) % 35.14/35.35 (assume @p1147 (forall @t1009 (=> @t1021 (tptp.class_Groups_Omonoid__add @t1007)))) % 35.14/35.35 (assume @p1148 (forall @t1009 (=> @t1019 (tptp.class_Rings_Osemiring__0 @t1007)))) % 35.14/35.35 (assume @p1149 (forall @t1009 (=> @t1023 (tptp.class_Groups_Ogroup__add @t1007)))) % 35.14/35.35 (assume @p1150 (forall @t1009 (=> @t1022 (tptp.class_Divides_Oring__div @t1007)))) % 35.14/35.35 (assume @p1151 (forall @t1009 (=> @t1019 (tptp.class_Rings_Omult__zero @t1007)))) % 35.14/35.35 (assume @p1152 (forall @t1009 (=> @t1025 (tptp.class_Rings_Ocomm__ring @t1007)))) % 35.14/35.35 (assume @p1153 (forall @t1009 (=> @t1018 (tptp.class_Orderings_Oorder @t1007)))) % 35.14/35.35 (assume @p1154 (forall @t1009 (=> @t1018 (tptp.class_Int_Oring__char__0 @t1007)))) % 35.14/35.35 (assume @p1155 (forall @t1009 (=> @t1019 (tptp.class_Rings_Osemiring @t1007)))) % 35.14/35.35 (assume @p1156 (forall @t1009 (=> @t1018 (tptp.class_Orderings_Oord @t1007)))) % 35.14/35.35 (assume @p1157 (forall @t1009 (=> @t1023 (tptp.class_Groups_Ouminus @t1007)))) % 35.14/35.35 (assume @p1158 (forall @t1009 (=> @t1024 (tptp.class_Rings_Oring__1 @t1007)))) % 35.14/35.35 (assume @p1159 (forall @t1009 (=> @t1023 (tptp.class_Groups_Ominus @t1007)))) % 35.14/35.35 (assume @p1160 (forall @t1009 (=> @t1020 (tptp.class_Power_Opower @t1007)))) % 35.14/35.35 (assume @p1161 (forall @t1009 (=> @t1026 (tptp.class_Groups_Ozero @t1007)))) % 35.14/35.35 (assume @p1162 (forall @t1009 (=> @t1025 (tptp.class_Rings_Oring @t1007)))) % 35.14/35.35 (assume @p1163 (forall @t1009 (=> @t1017 (tptp.class_Rings_Oidom @t1007)))) % 35.14/35.35 (assume @p1164 (forall @t1009 (=> @t1020 (tptp.class_Groups_Oone @t1007)))) % 35.14/35.35 (assume @p1165 (forall @t1009 (=> @t1020 (tptp.class_Rings_Odvd @t1007)))) % 35.14/35.35 (assume @p1166 (forall @t1009 (=> (and @t1026 @t1015) (tptp.class_HOL_Oequal @t1007)))) % 35.14/35.35 (assume @p1167 (forall @t720 (or (not @t1027) @t286))) % 35.14/35.35 (assume @p1168 (forall @t720 (or @t559 @t1027))) % 35.14/35.35 (assume @p1169 (not (tptp.hBOOL tptp.c_fFalse))) % 35.14/35.35 (assume @p1170 (tptp.hBOOL tptp.c_fTrue)) % 35.14/35.35 (assume @p1171 @t1031) % 35.14/35.35 (assume @p1172 (not @t1036)) % 35.14/35.35 (assume @p1173 @t1037) % 35.14/35.35 (assume @p1174 true) % 35.14/35.35 (step @p1175 :rule bool-impl-elim :args (@t25 @t42)) % 35.14/35.35 (step @p1176 :rule cong :premises (@p1175) :args (@t43)) % 35.14/35.35 (step @p1177 :rule eq_resolve :premises (@p6 @p1176)) % 35.14/35.35 (step @p1178 :rule instantiate :premises (@p1177) :args ((@list tptp.v_h tptp.v_p tptp.v_a tptp.t_a))) % 35.14/35.35 (step @p1179 :rule cnf_or_pos :args (@t1044)) % 35.14/35.35 (step @p1180 :rule reordering :premises (@p1179) :args ((or @t1043 @t1042 (not @t1044)))) % 35.14/35.35 (step @p1181 :rule chain_m_resolution :premises (@p1180 @p1173 @p1178) :args (@t1042 @t1045 (@list @t1037 @t1044))) % 35.14/35.35 (step @p1182 :rule aci_norm :args ((= (or @t1047 (or @t1046 @t53)) @t1048))) % 35.14/35.35 (step @p1183 :rule refl :args (@t53)) % 35.14/35.35 (step @p1184 :rule bool-double-not-elim :args (@t1046)) % 35.14/35.35 (step @p1185 :rule nary_cong :premises (@p1184 @p1183) :args ((or (not @t1049) @t53))) % 35.14/35.35 (step @p1186 :rule bool-impl-elim :args (@t1049 @t53)) % 35.14/35.35 (step @p1187 :rule trans :premises (@p1186 @p1185)) % 35.14/35.35 (step @p1188 :rule refl :args (@t1047)) % 35.14/35.35 (step @p1189 :rule nary_cong :premises (@p1188 @p1187) :args ((or @t1047 @t1050))) % 35.14/35.35 (step @p1190 :rule trans :premises (@p1189 @p1182)) % 35.14/35.35 (step @p1191 :rule bool-impl-elim :args (@t45 @t1050)) % 35.14/35.35 (step @p1192 :rule trans :premises (@p1191 @p1190)) % 35.14/35.35 (step @p1193 :rule cong :premises (@p1192) :args ((forall @t58 (=> @t45 @t1050)))) % 35.14/35.35 (step @p1194 :rule refl :args (@t53)) % 35.14/35.35 (step @p1195 :rule eq-symm :args (@t39 @t20)) % 35.14/35.35 (step @p1196 :rule cong :premises (@p1195) :args (@t55)) % 35.14/35.35 (step @p1197 :rule cong :premises (@p1196 @p1194) :args (@t56)) % 35.14/35.35 (step @p1198 :rule refl :args (@t45)) % 35.14/35.35 (step @p1199 :rule cong :premises (@p1198 @p1197) :args (@t57)) % 35.14/35.35 (step @p1200 :rule cong :premises (@p1199) :args (@t59)) % 35.14/35.35 (step @p1201 :rule trans :premises (@p1200 @p1193)) % 35.14/35.35 (step @p1202 :rule eq_resolve :premises (@p9 @p1201)) % 35.14/35.35 (step @p1203 :rule refl :args (@t1052)) % 35.14/35.35 (step @p1204 :rule eq-symm :args (@t1053 tptp.v_p)) % 35.14/35.35 (step @p1205 :rule refl :args (@t1055)) % 35.14/35.35 (step @p1206 :rule nary_cong :premises (@p1205 @p1204 @p1203) :args (@t1056)) % 35.14/35.35 (step @p1207 :rule refl :args (@t1057)) % 35.14/35.35 (step @p1208 :rule cong :premises (@p1207 @p1206) :args ((=> @t1057 @t1056))) % 35.14/35.35 (assume-push @p1431 @t1057) % 35.14/35.35 (step @p1210 :rule instantiate :premises (@p1202) :args ((@list tptp.v_a tptp.v_p tptp.t_a))) % 35.14/35.35 (step-pop @p1432 :rule scope :premises (@p1210)) % 35.14/35.35 (step @p1211 :rule process_scope :premises (@p1432) :args (@t1056)) % 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35.14/35.35 (step @p1316 :rule trans :premises (@p1315 @p1314)) % 35.14/35.35 (step @p1317 :rule cong :premises (@p1316) :args ((forall @t387 (=> @t80 @t1089)))) % 35.14/35.35 (step @p1318 :rule eq-symm :args (@t106 @t107)) % 35.14/35.35 (step @p1319 :rule refl :args (@t663)) % 35.14/35.35 (step @p1320 :rule cong :premises (@p1319 @p1318) :args (@t664)) % 35.14/35.35 (step @p1321 :rule refl :args (@t80)) % 35.14/35.35 (step @p1322 :rule cong :premises (@p1321 @p1320) :args (@t665)) % 35.14/35.35 (step @p1323 :rule cong :premises (@p1322) :args (@t666)) % 35.14/35.35 (step @p1324 :rule trans :premises (@p1323 @p1317)) % 35.14/35.35 (step @p1325 :rule eq_resolve :premises (@p539 @p1324)) % 35.14/35.35 (step @p1326 :rule instantiate :premises (@p1325) :args ((@list @t1038 @t1039 tptp.t_a))) % 35.14/35.35 (step @p1327 :rule aci_norm :args ((= (or @t1091 @t1092) (or @t1091 @t300 @t1090 @t570)))) % 35.14/35.35 (step @p1328 :rule aci_norm :args ((= (or @t300 (or @t1090 @t570)) @t1092))) % 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35.14/35.35 (step @p1356 :rule chain_m_resolution :premises (@p1355 @p1173 @p1353) :args (@t1095 @t1045 (@list @t1037 @t1096))) % 35.14/35.35 (step @p1357 :rule cnf_or_pos :args (@t1101)) % 35.14/35.35 (step @p1358 :rule reordering :premises (@p1357) :args ((or @t1100 @t1099 @t1098 @t1097 (not @t1101)))) % 35.14/35.35 (step @p1359 :rule chain_m_resolution :premises (@p1358 @p1086 @p1356 @p1349 @p1342) :args (@t1097 (@list false false false false) (@list @t1016 @t1095 @t1094 @t1101))) % 35.14/35.35 (assume-push @p1445 @t1031) % 35.14/35.35 (assume-push @p1446 @t1073) % 35.14/35.35 (assume-push @p1447 @t1097) % 35.14/35.35 (assume-push @p1448 @t1097) % 35.14/35.35 (assume-push @p1449 @t1031) % 35.14/35.35 (assume-push @p1450 @t1073) % 35.14/35.35 (step @p1366 :rule true_intro :premises (@p1359)) % 35.14/35.35 (step @p1367 :rule cong :premises (@p1171) :args (@t1071)) % 35.14/35.35 (step @p1368 :rule trans :premises (@p1446 @p1367)) % 35.14/35.35 (step @p1369 :rule refl :args (@t1093)) % 35.14/35.35 (step @p1370 :rule cong :premises (@p1346 @p1369 @p1368) :args (@t1102)) % 35.14/35.35 (step @p1371 :rule trans :premises (@p1370 @p1366)) % 35.14/35.35 (step @p1372 :rule true_elim :premises (@p1371)) % 35.14/35.35 (step-pop @p1451 :rule scope :premises (@p1372)) % 35.14/35.35 (step-pop @p1452 :rule scope :premises (@p1451)) % 35.14/35.35 (step-pop @p1453 :rule scope :premises (@p1452)) % 35.14/35.35 (step @p1373 :rule process_scope :premises (@p1453) :args (@t1102)) % 35.14/35.35 (step @p1377 :rule and_intro :premises (@p1359 @p1171 @p1446)) % 35.14/35.35 (step @p1378 :rule modus_ponens :premises (@p1377 @p1373)) % 35.14/35.35 (step-pop @p1454 :rule scope :premises (@p1378)) % 35.14/35.35 (step-pop @p1455 :rule scope :premises (@p1454)) % 35.14/35.35 (step-pop @p1456 :rule scope :premises (@p1455)) % 35.14/35.35 (step @p1379 :rule process_scope :premises (@p1456) :args (@t1102)) % 35.14/35.35 (step @p1383 :rule implies_elim :premises (@p1379)) % 35.14/35.35 (step @p1384 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cnf_or_pos :args (@t1112)) % 35.14/35.35 (step @p1396 :rule reordering :premises (@p1395) :args ((or @t1111 @t1110 @t1109 (not @t1112)))) % 35.14/35.35 (step @p1397 :rule chain_m_resolution :premises (@p1396 @p1394 @p1387 @p1326) :args (@t1109 @t1106 (@list @t1107 @t1102 @t1112))) % 35.14/35.35 (assume-push @p1457 @t1031) % 35.14/35.35 (assume-push @p1458 @t1042) % 35.14/35.35 (assume-push @p1459 @t1052) % 35.14/35.35 (assume-push @p1460 @t1073) % 35.14/35.35 (assume-push @p1461 @t1109) % 35.14/35.35 (assume-push @p1462 @t1052) % 35.14/35.35 (assume-push @p1463 @t1031) % 35.14/35.35 (assume-push @p1464 @t1073) % 35.14/35.35 (assume-push @p1465 @t1109) % 35.14/35.35 (assume-push @p1466 @t1042) % 35.14/35.35 (step @p1408 :rule symm :premises (@p1459)) % 35.14/35.35 (step @p1367 :rule cong :premises (@p1171) :args (@t1071)) % 35.14/35.35 (step @p1409 :rule symm :premises (@p1461)) % 35.14/35.35 (step @p1241 :rule refl :args (tptp.t_a)) % 35.14/35.35 (step @p1410 :rule cong :premises (@p1241 @p1181) :args (@t1035)) % 35.14/35.35 (step @p1411 :rule trans :premises (@p1410 @p1409 @p1460 @p1367 @p1408)) % 35.14/35.35 (step-pop @p1467 :rule scope :premises (@p1411)) % 35.14/35.35 (step-pop @p1468 :rule scope :premises (@p1467)) % 35.14/35.35 (step-pop @p1469 :rule scope :premises (@p1468)) % 35.14/35.35 (step-pop @p1470 :rule scope :premises (@p1469)) % 35.14/35.35 (step-pop @p1471 :rule scope :premises (@p1470)) % 35.14/35.35 (step @p1412 :rule process_scope :premises (@p1471) :args (@t1036)) % 35.14/35.35 (step @p1418 :rule and_intro :premises (@p1459 @p1171 @p1460 @p1461 @p1181)) % 35.14/35.35 (step @p1419 :rule modus_ponens :premises (@p1418 @p1412)) % 35.14/35.35 (step-pop @p1472 :rule scope :premises (@p1419)) % 35.14/35.35 (step-pop @p1473 :rule scope :premises (@p1472)) % 35.14/35.35 (step-pop @p1474 :rule scope :premises (@p1473)) % 35.14/35.35 (step-pop @p1475 :rule scope :premises (@p1474)) % 35.14/35.35 (step-pop @p1476 :rule scope :premises (@p1475)) % 35.14/35.35 (step @p1420 :rule process_scope :premises (@p1476) :args (@t1036)) % 35.14/35.35 (step @p1426 :rule implies_elim :premises (@p1420)) % 35.14/35.35 (step @p1427 :rule cnf_and_neg :args (@t1113)) % 35.14/35.35 (step @p1428 :rule resolution :premises (@p1427 @p1426) :args (true @t1113)) % 35.14/35.35 (step @p1429 :rule reordering :premises (@p1428) :args ((or @t1036 @t1105 (not @t1042) (not @t1052) @t1104 (not @t1109)))) % 35.14/35.35 (step @p1430 false :rule chain_m_resolution :premises (@p1429 @p1397 @p1309 @p1264 @p1181 @p1172 @p1171) :args (false (@list false false false false true false) (@list @t1109 @t1073 @t1052 @t1042 @t1036 @t1031))) % 35.14/35.35 ) % 35.14/35.35 % SZS output end Proof % 35.14/35.35 % cvc5 exiting %------------------------------------------------------------------------------