%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW269+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n026.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:38 AM UTC 2026 % Result : Theorem 37.95s 38.17s % Output : Proof 37.95s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW269+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n026.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 21:43:25 EDT 2026 % 0.15/0.34 % CPUTime : % 0.42/0.71 %----Proving TF0_NAR, FOF, or CNF % 37.95/38.17 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 37.95/38.17 --- Run --no-e-matching --full-saturate-quant at 6... % 37.95/38.17 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 37.95/38.17 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 37.95/38.17 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 37.95/38.17 % SZS status Theorem % 37.95/38.17 % SZS output start Proof % 37.95/38.17 ( % 37.95/38.17 (declare-sort $$unsorted 0) % 37.95/38.17 (declare-const tptp.class_Enum_Oenum (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 37.95/38.17 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_HOL_Oequal__class_Oequal (-> $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.v_p $$unsorted) % 37.95/38.17 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.v_d____ $$unsorted) % 37.95/38.17 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.tc_Nat_Onat $$unsorted) % 37.95/38.17 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_fTrue $$unsorted) % 37.95/38.17 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_Polynomial_OAbs__poly (-> $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_HOL_Oequal (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_fequal $$unsorted) % 37.95/38.17 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.v_cs____ $$unsorted) % 37.95/38.17 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_fFalse $$unsorted) % 37.95/38.17 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.v_c____ $$unsorted) % 37.95/38.17 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.v_ds____ $$unsorted) % 37.95/38.17 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 37.95/38.17 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 37.95/38.17 (declare-const tptp.tc_HOL_Obool $$unsorted) % 37.95/38.17 (define @t1 () (@var "V_g_2" $$unsorted)) % 37.95/38.17 (define @t2 () (@var "V_f_2" $$unsorted)) % 37.95/38.17 (define @t3 () (@var "B_x" $$unsorted)) % 37.95/38.17 (define @t4 () (tptp.hAPP @t1 @t3)) % 37.95/38.17 (define @t5 () (tptp.hAPP @t2 @t3)) % 37.95/38.17 (define @t6 () (@list @t3)) % 37.95/38.17 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 37.95/38.17 (define @t8 () (@var "B_w" $$unsorted)) % 37.95/38.17 (define @t9 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_d____ tptp.v_ds____)) % 37.95/38.17 (define @t10 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t9)) % 37.95/38.17 (define @t11 () (tptp.hAPP @t10 @t8)) % 37.95/38.17 (define @t12 () (not (= @t8 @t7))) % 37.95/38.17 (define @t13 () (=> @t12 (= @t11 @t7))) % 37.95/38.17 (define @t14 () (@list @t8)) % 37.95/38.17 (define @t15 () (forall @t14 @t13)) % 37.95/38.17 (define @t16 () (@var "T_a" $$unsorted)) % 37.95/38.17 (define @t17 () (tptp.tc_Polynomial_Opoly @t16)) % 37.95/38.17 (define @t18 () (tptp.c_Groups_Ozero__class_Ozero @t17)) % 37.95/38.17 (define @t19 () (tptp.c_Groups_Ozero__class_Ozero @t16)) % 37.95/38.17 (define @t20 () (tptp.class_Groups_Ozero @t16)) % 37.95/38.17 (define @t21 () (@list @t16)) % 37.95/38.17 (define @t22 () (@var "V_pa_2" $$unsorted)) % 37.95/38.17 (define @t23 () (= @t22 @t18)) % 37.95/38.17 (define @t24 () (@var "V_a_2" $$unsorted)) % 37.95/38.17 (define @t25 () (= @t24 @t19)) % 37.95/38.17 (define @t26 () (and @t25 @t23)) % 37.95/38.17 (define @t27 () (tptp.c_Polynomial_OpCons @t16 @t24 @t22)) % 37.95/38.17 (define @t28 () (= (= @t27 @t18) @t26)) % 37.95/38.17 (define @t29 () (=> @t20 @t28)) % 37.95/38.17 (define @t30 () (@list @t22 @t24 @t16)) % 37.95/38.17 (define @t31 () (forall @t30 @t29)) % 37.95/38.17 (define @t32 () (@var "V_a" $$unsorted)) % 37.95/38.17 (define @t33 () (tptp.c_Polynomial_OpCons @t16 @t32 @t18)) % 37.95/38.17 (define @t34 () (@var "V_h" $$unsorted)) % 37.95/38.17 (define @t35 () (tptp.class_Rings_Ocomm__semiring__0 @t16)) % 37.95/38.17 (define @t36 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))) % 37.95/38.17 (define @t37 () (= tptp.v_ds____ @t36)) % 37.95/38.17 (define @t38 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_ds____)) % 37.95/38.17 (define @t39 () (tptp.hAPP @t38 @t8)) % 37.95/38.17 (define @t40 () (=> @t12 (= @t39 @t7))) % 37.95/38.17 (define @t41 () (forall @t14 @t40)) % 37.95/38.17 (define @t42 () (=> @t41 @t37)) % 37.95/38.17 (define @t43 () (@var "B_a" $$unsorted)) % 37.95/38.17 (define @t44 () (@var "V_q_2" $$unsorted)) % 37.95/38.17 (define @t45 () (= @t22 @t44)) % 37.95/38.17 (define @t46 () (@var "V_b_2" $$unsorted)) % 37.95/38.17 (define @t47 () (= @t24 @t46)) % 37.95/38.17 (define @t48 () (tptp.c_Polynomial_OpCons @t16 @t46 @t44)) % 37.95/38.17 (define @t49 () (@list @t44 @t46 @t22 @t24 @t16)) % 37.95/38.17 (define @t50 () (@var "V_z_2" $$unsorted)) % 37.95/38.17 (define @t51 () (@var "T_b" $$unsorted)) % 37.95/38.17 (define @t52 () (tptp.c_Polynomial_Opoly__rec @t16 @t51 @t50 @t2 @t22)) % 37.95/38.17 (define @t53 () (tptp.hAPP (tptp.hAPP @t2 @t24) @t22)) % 37.95/38.17 (define @t54 () (tptp.c_Polynomial_Opoly__rec @t16 @t51 @t50 @t2 (tptp.c_Polynomial_OpCons @t51 @t24 @t22))) % 37.95/38.17 (define @t55 () (tptp.tc_Polynomial_Opoly @t51)) % 37.95/38.17 (define @t56 () (tptp.c_Groups_Ozero__class_Ozero @t55)) % 37.95/38.17 (define @t57 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t51)) @t56) @t50) @t50)) % 37.95/38.17 (define @t58 () (tptp.class_Groups_Ozero @t51)) % 37.95/38.17 (define @t59 () (@var "V_x_2" $$unsorted)) % 37.95/38.17 (define @t60 () (= @t59 @t19)) % 37.95/38.17 (define @t61 () (@list @t59 @t16)) % 37.95/38.17 (define @t62 () (= tptp.v_c____ @t7)) % 37.95/38.17 (define @t63 () (tptp.c_Polynomial_Opoly @t16 @t22)) % 37.95/38.17 (define @t64 () (tptp.class_Rings_Oidom @t16)) % 37.95/38.17 (define @t65 () (and (tptp.class_Int_Oring__char__0 @t16) @t64)) % 37.95/38.17 (define @t66 () (@list @t44 @t22 @t16)) % 37.95/38.17 (define @t67 () (tptp.c_Polynomial_Opoly @t16 @t18)) % 37.95/38.17 (define @t68 () (@list @t22 @t16)) % 37.95/38.17 (define @t69 () (@var "V_x" $$unsorted)) % 37.95/38.17 (define @t70 () (@list @t69 @t16)) % 37.95/38.17 (define @t71 () (@var "V_h_2" $$unsorted)) % 37.95/38.17 (define @t72 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_cs____)) % 37.95/38.17 (define @t73 () (tptp.hAPP @t72 @t8)) % 37.95/38.17 (define @t74 () (=> @t12 (= @t73 @t7))) % 37.95/38.17 (define @t75 () (forall @t14 @t74)) % 37.95/38.17 (define @t76 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 37.95/38.17 (define @t77 () (@var "V_y" $$unsorted)) % 37.95/38.17 (define @t78 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_c____ tptp.v_cs____))) % 37.95/38.17 (define @t79 () (tptp.hAPP @t78 @t7)) % 37.95/38.17 (define @t80 () (@var "V_c" $$unsorted)) % 37.95/38.17 (define @t81 () (@var "V_p" $$unsorted)) % 37.95/38.17 (define @t82 () (tptp.c_Polynomial_Osynthetic__div @t16 @t81 @t80)) % 37.95/38.17 (define @t83 () (tptp.c_Polynomial_Opoly @t16 @t81)) % 37.95/38.17 (define @t84 () (tptp.hAPP @t83 @t80)) % 37.95/38.17 (define @t85 () (tptp.c_Polynomial_OpCons @t16 @t84 @t82)) % 37.95/38.17 (define @t86 () (tptp.c_Polynomial_OpCons @t16 @t32 @t81)) % 37.95/38.17 (define @t87 () (@var "V_q" $$unsorted)) % 37.95/38.17 (define @t88 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t87) @t69)) % 37.95/38.17 (define @t89 () (tptp.c_Polynomial_Opcompose @t16 @t81 @t87)) % 37.95/38.17 (define @t90 () (@list @t69 @t87 @t81 @t16)) % 37.95/38.17 (define @t91 () (@list @t32 @t16)) % 37.95/38.17 (define @t92 () (@list @t87 @t16)) % 37.95/38.17 (define @t93 () (@var "V_P_2" $$unsorted)) % 37.95/38.17 (define @t94 () (@var "B_p" $$unsorted)) % 37.95/38.17 (define @t95 () (@var "V_n_2" $$unsorted)) % 37.95/38.17 (define @t96 () (tptp.c_Polynomial_Omonom @t16 @t24 @t95)) % 37.95/38.17 (define @t97 () (@var "V_n" $$unsorted)) % 37.95/38.17 (define @t98 () (@list @t97 @t16)) % 37.95/38.17 (define @t99 () (@var "B_y" $$unsorted)) % 37.95/38.17 (define @t100 () (@var "B_z" $$unsorted)) % 37.95/38.17 (define @t101 () (@list @t100)) % 37.95/38.17 (define @t102 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t22)) % 37.95/38.17 (define @t103 () (tptp.c_Polynomial_Omonom @t16 @t32 @t97)) % 37.95/38.17 (define @t104 () (tptp.c_Nat_OSuc @t97)) % 37.95/38.17 (define @t105 () (@list @t97 @t32 @t16)) % 37.95/38.17 (define @t106 () (tptp.c_Polynomial_Odegree @t16 @t22)) % 37.95/38.17 (define @t107 () (@var "V_ca_2" $$unsorted)) % 37.95/38.17 (define @t108 () (@list @t107 @t22 @t16)) % 37.95/38.17 (define @t109 () (tptp.c_HOL_Oequal__class_Oequal @t17)) % 37.95/38.17 (define @t110 () (tptp.hAPP @t109 @t18)) % 37.95/38.17 (define @t111 () (tptp.c_HOL_Oequal__class_Oequal @t16)) % 37.95/38.17 (define @t112 () (tptp.class_HOL_Oequal @t16)) % 37.95/38.17 (define @t113 () (and @t20 @t112)) % 37.95/38.17 (define @t114 () (tptp.hAPP @t109 @t22)) % 37.95/38.17 (define @t115 () (tptp.hAPP @t111 @t24)) % 37.95/38.17 (define @t116 () (tptp.hAPP @t109 @t27)) % 37.95/38.17 (define @t117 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t16 @t81 @t34)) % 37.95/38.17 (define @t118 () (@var "V_m" $$unsorted)) % 37.95/38.17 (define @t119 () (tptp.c_Polynomial_Omonom @t16 @t32 @t118)) % 37.95/38.17 (define @t120 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t119) @t97)) % 37.95/38.17 (define @t121 () (= @t118 @t97)) % 37.95/38.17 (define @t122 () (not @t121)) % 37.95/38.17 (define @t123 () (= @t81 @t18)) % 37.95/38.17 (define @t124 () (tptp.c_Polynomial_Osmult @t16 @t80 @t81)) % 37.95/38.17 (define @t125 () (@list @t32 @t81 @t80 @t16)) % 37.95/38.17 (define @t126 () (tptp.c_Polynomial_Ocoeff @t16 @t86)) % 37.95/38.17 (define @t127 () (@list @t81 @t32 @t16)) % 37.95/38.17 (define @t128 () (@var "V_b" $$unsorted)) % 37.95/38.17 (define @t129 () (= @t128 @t80)) % 37.95/38.17 (define @t130 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t80 @t32)) % 37.95/38.17 (define @t131 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t128 @t32)) % 37.95/38.17 (define @t132 () (tptp.class_Groups_Ocancel__semigroup__add @t16)) % 37.95/38.17 (define @t133 () (@list @t80 @t32 @t128 @t16)) % 37.95/38.17 (define @t134 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t80)) % 37.95/38.17 (define @t135 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t128)) % 37.95/38.17 (define @t136 () (= @t135 @t134)) % 37.95/38.17 (define @t137 () (=> @t136 @t129)) % 37.95/38.17 (define @t138 () (tptp.class_Groups_Ocancel__ab__semigroup__add @t16)) % 37.95/38.17 (define @t139 () (=> @t138 @t137)) % 37.95/38.17 (define @t140 () (@list @t80 @t128 @t32 @t16)) % 37.95/38.17 (define @t141 () (forall @t140 @t139)) % 37.95/38.17 (define @t142 () (= @t46 @t107)) % 37.95/38.17 (define @t143 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t107 @t24)) % 37.95/38.17 (define @t144 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t46 @t24)) % 37.95/38.17 (define @t145 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t24 @t107)) % 37.95/38.17 (define @t146 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t24 @t46)) % 37.95/38.17 (define @t147 () (@list @t107 @t46 @t24 @t16)) % 37.95/38.17 (define @t148 () (tptp.c_Polynomial_Osmult @t16 @t128 @t81)) % 37.95/38.17 (define @t149 () (tptp.c_Polynomial_Osmult @t16 @t32 @t81)) % 37.95/38.17 (define @t150 () (@list @t81 @t128 @t32 @t16)) % 37.95/38.17 (define @t151 () (tptp.c_Polynomial_Ocoeff @t16 @t87)) % 37.95/38.17 (define @t152 () (tptp.hAPP @t151 @t97)) % 37.95/38.17 (define @t153 () (tptp.c_Polynomial_Ocoeff @t16 @t81)) % 37.95/38.17 (define @t154 () (tptp.hAPP @t153 @t97)) % 37.95/38.17 (define @t155 () (tptp.c_Groups_Oplus__class_Oplus @t17 @t81 @t87)) % 37.95/38.17 (define @t156 () (tptp.class_Groups_Ocomm__monoid__add @t16)) % 37.95/38.17 (define @t157 () (@list @t97 @t87 @t81 @t16)) % 37.95/38.17 (define @t158 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t128 @t80)) % 37.95/38.17 (define @t159 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t135 @t80)) % 37.95/38.17 (define @t160 () (= @t159 (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t158))) % 37.95/38.17 (define @t161 () (@var "V_y_2" $$unsorted)) % 37.95/38.17 (define @t162 () (= @t59 @t161)) % 37.95/38.17 (define @t163 () (tptp.c_Polynomial_Ocoeff @t16 @t59)) % 37.95/38.17 (define @t164 () (@list @t161 @t59 @t16)) % 37.95/38.17 (define @t165 () (tptp.c_Polynomial_Osmult @t16 @t32 @t87)) % 37.95/38.17 (define @t166 () (@list @t87 @t81 @t32 @t16)) % 37.95/38.17 (define @t167 () (tptp.hBOOL (tptp.hAPP @t114 @t44))) % 37.95/38.17 (define @t168 () (@var "B_n" $$unsorted)) % 37.95/38.17 (define @t169 () (tptp.c_Polynomial_Ocoeff @t16 @t22)) % 37.95/38.17 (define @t170 () (@list @t168)) % 37.95/38.17 (define @t171 () (tptp.c_Polynomial_OpCons @t16 @t128 @t87)) % 37.95/38.17 (define @t172 () (@list @t87 @t128 @t81 @t32 @t16)) % 37.95/38.17 (define @t173 () (@list @t97 @t81 @t32 @t16)) % 37.95/38.17 (define @t174 () (tptp.hAPP @t83 @t69)) % 37.95/38.17 (define @t175 () (tptp.c_Polynomial_Omonom @t16 @t128 @t97)) % 37.95/38.17 (define @t176 () (@list @t128 @t97 @t32 @t16)) % 37.95/38.17 (define @t177 () (tptp.c_Polynomial_Odegree @t16 @t81)) % 37.95/38.17 (define @t178 () (tptp.c_Polynomial_Odegree @t16 @t149)) % 37.95/38.17 (define @t179 () (= @t32 @t19)) % 37.95/38.17 (define @t180 () (not @t179)) % 37.95/38.17 (define @t181 () (tptp.hAPP @t153 @t177)) % 37.95/38.17 (define @t182 () (not @t123)) % 37.95/38.17 (define @t183 () (@list @t81 @t16)) % 37.95/38.17 (define @t184 () (tptp.hAPP @t169 @t106)) % 37.95/38.17 (define @t185 () (tptp.c_Nat_OSuc @t177)) % 37.95/38.17 (define @t186 () (tptp.c_Polynomial_Odegree @t16 @t86)) % 37.95/38.17 (define @t187 () (=> @t182 (= @t186 @t185))) % 37.95/38.17 (define @t188 () (@list @t32 @t81 @t16)) % 37.95/38.17 (define @t189 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t19) @t32)) % 37.95/38.17 (define @t190 () (tptp.class_Groups_Omonoid__add @t16)) % 37.95/38.17 (define @t191 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t24 @t24)) % 37.95/38.17 (define @t192 () (tptp.class_Groups_Olinordered__ab__group__add @t16)) % 37.95/38.17 (define @t193 () (@list @t24 @t16)) % 37.95/38.17 (define @t194 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t19 @t32) @t32)) % 37.95/38.17 (define @t195 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t16 @t81)) % 37.95/38.17 (define @t196 () (@list @t80 @t81 @t16)) % 37.95/38.17 (define @t197 () (@var "V_r" $$unsorted)) % 37.95/38.17 (define @t198 () (tptp.c_Polynomial_Odegree @t16 @t103)) % 37.95/38.17 (define @t199 () (tptp.c_Polynomial_Osmult @t16 @t24 @t22)) % 37.95/38.17 (define @t200 () (tptp.c_Nat_OSuc @t76)) % 37.95/38.17 (define @t201 () (= @t95 @t200)) % 37.95/38.17 (define @t202 () (@var "V_m_2" $$unsorted)) % 37.95/38.17 (define @t203 () (= @t202 @t76)) % 37.95/38.17 (define @t204 () (= @t95 @t76)) % 37.95/38.17 (define @t205 () (= @t202 @t200)) % 37.95/38.17 (define @t206 () (or (and @t205 @t204) (and @t203 @t201))) % 37.95/38.17 (define @t207 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t202 @t95)) % 37.95/38.17 (define @t208 () (@list @t95 @t202)) % 37.95/38.17 (define @t209 () (tptp.c_Nat_OSuc @t118)) % 37.95/38.17 (define @t210 () (@list @t118)) % 37.95/38.17 (define @t211 () (@var "V_nat_H_1" $$unsorted)) % 37.95/38.17 (define @t212 () (@var "V_nat_H" $$unsorted)) % 37.95/38.17 (define @t213 () (= @t46 @t144)) % 37.95/38.17 (define @t214 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t16)) % 37.95/38.17 (define @t215 () (=> @t214 (= @t213 @t25))) % 37.95/38.17 (define @t216 () (@list @t24 @t46 @t16)) % 37.95/38.17 (define @t217 () (forall @t216 @t215)) % 37.95/38.17 (define @t218 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t97 @t118)) % 37.95/38.17 (define @t219 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t97)) % 37.95/38.17 (define @t220 () (@list @t97 @t118)) % 37.95/38.17 (define @t221 () (@var "V_z" $$unsorted)) % 37.95/38.17 (define @t222 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t77 @t221)) % 37.95/38.17 (define @t223 () (@list @t221 @t77 @t69)) % 37.95/38.17 (define @t224 () (@var "V_k" $$unsorted)) % 37.95/38.17 (define @t225 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t97 @t224)) % 37.95/38.17 (define @t226 () (@list @t224 @t97 @t118)) % 37.95/38.17 (define @t227 () (= @t202 @t95)) % 37.95/38.17 (define @t228 () (@var "V_k_2" $$unsorted)) % 37.95/38.17 (define @t229 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t228 @t95)) % 37.95/38.17 (define @t230 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t228 @t202)) % 37.95/38.17 (define @t231 () (@list @t95 @t202 @t228)) % 37.95/38.17 (define @t232 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t95 @t228)) % 37.95/38.17 (define @t233 () (@list @t95 @t228 @t202)) % 37.95/38.17 (define @t234 () (@var "V_d" $$unsorted)) % 37.95/38.17 (define @t235 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t128 @t234)) % 37.95/38.17 (define @t236 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t80 @t234)) % 37.95/38.17 (define @t237 () (tptp.class_Rings_Ocomm__semiring__1 @t16)) % 37.95/38.17 (define @t238 () (@list @t234 @t80 @t128 @t32 @t16)) % 37.95/38.17 (define @t239 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t236)) % 37.95/38.17 (define @t240 () (@list @t234 @t80 @t32 @t16)) % 37.95/38.17 (define @t241 () (=> @t237 (= @t134 @t130))) % 37.95/38.17 (define @t242 () (@list @t80 @t32 @t16)) % 37.95/38.17 (define @t243 () (forall @t242 @t241)) % 37.95/38.17 (define @t244 () (@list @t97)) % 37.95/38.17 (define @t245 () (= @t97 @t76)) % 37.95/38.17 (define @t246 () (= @t69 @t77)) % 37.95/38.17 (define @t247 () (@list @t77 @t69)) % 37.95/38.17 (define @t248 () (@var "V_nat_H_2" $$unsorted)) % 37.95/38.17 (define @t249 () (@var "V_nat_2" $$unsorted)) % 37.95/38.17 (define @t250 () (tptp.c_Nat_OSuc @t249)) % 37.95/38.17 (define @t251 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t104)) % 37.95/38.17 (define @t252 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t209 @t97)) % 37.95/38.17 (define @t253 () (tptp.c_Nat_OSuc @t219)) % 37.95/38.17 (define @t254 () (@var "V_nat" $$unsorted)) % 37.95/38.17 (define @t255 () (tptp.c_Nat_OSuc @t254)) % 37.95/38.17 (define @t256 () (@list @t254)) % 37.95/38.17 (define @t257 () (tptp.c_Groups_Otimes__class_Otimes @t17 @t81 @t87)) % 37.95/38.17 (define @t258 () (tptp.c_Polynomial_OpCons @t16 @t19 @t257)) % 37.95/38.17 (define @t259 () (@list @t87 @t32 @t81 @t16)) % 37.95/38.17 (define @t260 () (tptp.c_Nat_Onat_Onat__case @t16 @t24 @t169)) % 37.95/38.17 (define @t261 () (tptp.c_Polynomial_Oorder @t16 @t32 @t81)) % 37.95/38.17 (define @t262 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t118)) % 37.95/38.17 (define @t263 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t97)) % 37.95/38.17 (define @t264 () (@var "V_i" $$unsorted)) % 37.95/38.17 (define @t265 () (@var "V_j" $$unsorted)) % 37.95/38.17 (define @t266 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t264 @t265)) % 37.95/38.17 (define @t267 () (@list @t224 @t265 @t264)) % 37.95/38.17 (define @t268 () (@var "V_ry" $$unsorted)) % 37.95/38.17 (define @t269 () (@var "V_ly" $$unsorted)) % 37.95/38.17 (define @t270 () (@var "V_rx" $$unsorted)) % 37.95/38.17 (define @t271 () (@var "V_lx" $$unsorted)) % 37.95/38.17 (define @t272 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t271 @t270)) % 37.95/38.17 (define @t273 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t270 @t268)) % 37.95/38.17 (define @t274 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t271 @t269)) % 37.95/38.17 (define @t275 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t274 @t273)) % 37.95/38.17 (define @t276 () (@list @t268 @t270 @t269 @t271 @t16)) % 37.95/38.17 (define @t277 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t274 @t270)) % 37.95/38.17 (define @t278 () (@list @t270 @t269 @t271 @t16)) % 37.95/38.17 (define @t279 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t271 @t273)) % 37.95/38.17 (define @t280 () (@list @t268 @t270 @t271 @t16)) % 37.95/38.17 (define @t281 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t128 @t32)) % 37.95/38.17 (define @t282 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t128)) % 37.95/38.17 (define @t283 () (@list @t128 @t32 @t16)) % 37.95/38.17 (define @t284 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t128 @t80)) % 37.95/38.17 (define @t285 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t69 @t69)) % 37.95/38.17 (define @t286 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t285 (tptp.c_Groups_Otimes__class_Otimes @t16 @t77 @t77))) % 37.95/38.17 (define @t287 () (tptp.class_Rings_Olinordered__ring @t16)) % 37.95/38.17 (define @t288 () (@list @t77 @t69 @t16)) % 37.95/38.17 (define @t289 () (= @t161 @t19)) % 37.95/38.17 (define @t290 () (and @t60 @t289)) % 37.95/38.17 (define @t291 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t59 @t59)) % 37.95/38.17 (define @t292 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t291 (tptp.c_Groups_Otimes__class_Otimes @t16 @t161 @t161))) % 37.95/38.17 (define @t293 () (tptp.class_Rings_Olinordered__ring__strict @t16)) % 37.95/38.17 (define @t294 () (tptp.c_Polynomial_Odegree @t16 @t87)) % 37.95/38.17 (define @t295 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t177 @t294)) % 37.95/38.17 (define @t296 () (tptp.c_Polynomial_Odegree @t16 @t257)) % 37.95/38.17 (define @t297 () (@list @t87 @t81 @t16)) % 37.95/38.17 (define @t298 () (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t19) @t19)) % 37.95/38.17 (define @t299 () (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t19 @t32) @t19)) % 37.95/38.17 (define @t300 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t69 @t221)) % 37.95/38.17 (define @t301 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t69 @t77)) % 37.95/38.17 (define @t302 () (@list @t221 @t77 @t69 @t16)) % 37.95/38.17 (define @t303 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t46 @t107)) % 37.95/38.17 (define @t304 () (@var "V_da_2" $$unsorted)) % 37.95/38.17 (define @t305 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t24 @t107)) % 37.95/38.17 (define @t306 () (= @t107 @t304)) % 37.95/38.17 (define @t307 () (@list @t304 @t107 @t46 @t24 @t16)) % 37.95/38.17 (define @t308 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t80)) % 37.95/38.17 (define @t309 () (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t135 @t80) (tptp.c_Groups_Oplus__class_Oplus @t16 @t308 @t284))) % 37.95/38.17 (define @t310 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t118)) % 37.95/38.17 (define @t311 () (@var "V_w_2" $$unsorted)) % 37.95/38.17 (define @t312 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t59 @t50)) % 37.95/38.17 (define @t313 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t311 @t161)) % 37.95/38.17 (define @t314 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t32 @t128)) % 37.95/38.17 (define @t315 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t80 @t128)) % 37.95/38.17 (define @t316 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t130 @t315)) % 37.95/38.17 (define @t317 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t16)) % 37.95/38.17 (define @t318 () (@list @t128 @t32 @t80 @t16)) % 37.95/38.17 (define @t319 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t134 @t158)) % 37.95/38.17 (define @t320 () (@list @t128 @t80 @t32 @t16)) % 37.95/38.17 (define @t321 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t80 @t234)) % 37.95/38.17 (define @t322 () (tptp.class_Groups_Oordered__ab__semigroup__add @t16)) % 37.95/38.17 (define @t323 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t24 @t46)) % 37.95/38.17 (define @t324 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t107 @t46)) % 37.95/38.17 (define @t325 () (@list @t46 @t24 @t107 @t16)) % 37.95/38.17 (define @t326 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t46 @t107)) % 37.95/38.17 (define @t327 () (@list @t46 @t107 @t24 @t16)) % 37.95/38.17 (define @t328 () (@list @t95)) % 37.95/38.17 (define @t329 () (tptp.c_Nat_OSuc @t95)) % 37.95/38.17 (define @t330 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t329 @t202)) % 37.95/38.17 (define @t331 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t202 @t95)) % 37.95/38.17 (define @t332 () (tptp.c_Nat_OSuc @t202)) % 37.95/38.17 (define @t333 () (@list @t202 @t95)) % 37.95/38.17 (define @t334 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t104)) % 37.95/38.17 (define @t335 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t209 @t97)) % 37.95/38.17 (define @t336 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t97)) % 37.95/38.17 (define @t337 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t224)) % 37.95/38.17 (define @t338 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t337 @t97)) % 37.95/38.17 (define @t339 () (@list @t97 @t224 @t118)) % 37.95/38.17 (define @t340 () (@var "V_l" $$unsorted)) % 37.95/38.17 (define @t341 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t265 @t340)) % 37.95/38.17 (define @t342 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t264 @t224)) % 37.95/38.17 (define @t343 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t340)) % 37.95/38.17 (define @t344 () (@list @t340 @t224 @t265 @t264)) % 37.95/38.17 (define @t345 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t265 @t224)) % 37.95/38.17 (define @t346 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t265)) % 37.95/38.17 (define @t347 () (@list @t118 @t265 @t264)) % 37.95/38.17 (define @t348 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t265 @t118)) % 37.95/38.17 (define @t349 () (@var "B_k" $$unsorted)) % 37.95/38.17 (define @t350 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t202 @t349)) % 37.95/38.17 (define @t351 () (@list @t349)) % 37.95/38.17 (define @t352 () (@list @t118 @t97)) % 37.95/38.17 (define @t353 () (tptp.c_Polynomial_Osmult @t16 @t32 @t257)) % 37.95/38.17 (define @t354 () (tptp.hAPP @t151 @t294)) % 37.95/38.17 (define @t355 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t128 (tptp.c_Groups_Otimes__class_Otimes @t16 @t197 @t234))) % 37.95/38.17 (define @t356 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t197 @t80)) % 37.95/38.17 (define @t357 () (not (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t356) @t355))) % 37.95/38.17 (define @t358 () (= @t80 @t234)) % 37.95/38.17 (define @t359 () (not @t358)) % 37.95/38.17 (define @t360 () (= @t32 @t128)) % 37.95/38.17 (define @t361 () (and @t360 @t359)) % 37.95/38.17 (define @t362 () (=> @t361 @t357)) % 37.95/38.17 (define @t363 () (not (= @t197 @t19))) % 37.95/38.17 (define @t364 () (=> @t363 @t362)) % 37.95/38.17 (define @t365 () (=> @t214 @t364)) % 37.95/38.17 (define @t366 () (@list @t234 @t80 @t128 @t32 @t197 @t16)) % 37.95/38.17 (define @t367 () (forall @t366 @t365)) % 37.95/38.17 (define @t368 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t24)) % 37.95/38.17 (define @t369 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t24 @t19)) % 37.95/38.17 (define @t370 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t128)) % 37.95/38.17 (define @t371 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t32)) % 37.95/38.17 (define @t372 () (tptp.class_Groups_Oordered__comm__monoid__add @t16)) % 37.95/38.17 (define @t373 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t59 @t161) @t19)) % 37.95/38.17 (define @t374 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t128 @t134)) % 37.95/38.17 (define @t375 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t128 @t80)) % 37.95/38.17 (define @t376 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t128 @t32)) % 37.95/38.17 (define @t377 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t80)) % 37.95/38.17 (define @t378 () (@list @t32 @t128 @t80 @t16)) % 37.95/38.17 (define @t379 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t128 @t19)) % 37.95/38.17 (define @t380 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t32 @t19)) % 37.95/38.17 (define @t381 () (@var "V_f1_2" $$unsorted)) % 37.95/38.17 (define @t382 () (@var "V_f2_2" $$unsorted)) % 37.95/38.17 (define @t383 () (tptp.c_Nat_Onat_Onat__case @t16 @t381 @t382)) % 37.95/38.17 (define @t384 () (@list @t69 @t81 @t32 @t16)) % 37.95/38.17 (define @t385 () (tptp.c_Polynomial_Odegree @t16 @t155)) % 37.95/38.17 (define @t386 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t294 @t97)) % 37.95/38.17 (define @t387 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t177 @t97)) % 37.95/38.17 (define @t388 () (@list @t87 @t97 @t81 @t16)) % 37.95/38.17 (define @t389 () (not (= @t87 @t18))) % 37.95/38.17 (define @t390 () (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t86) @t69) (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 (tptp.c_Groups_Otimes__class_Otimes @t16 @t69 @t174)))) % 37.95/38.17 (define @t391 () (forall @t384 (=> @t35 @t390))) % 37.95/38.17 (define @t392 () (= @t154 @t19)) % 37.95/38.17 (define @t393 () (@list @t97 @t81 @t16)) % 37.95/38.17 (define @t394 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t32)) % 37.95/38.17 (define @t395 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t46 @t19)) % 37.95/38.17 (define @t396 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t46)) % 37.95/38.17 (define @t397 () (or (and @t368 @t396) (and @t369 @t395))) % 37.95/38.17 (define @t398 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t24 @t46)) % 37.95/38.17 (define @t399 () (@list @t46 @t24 @t16)) % 37.95/38.17 (define @t400 () (or (and @t368 @t395) (and @t369 @t396))) % 37.95/38.17 (define @t401 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t282)) % 37.95/38.17 (define @t402 () (tptp.class_Rings_Oordered__cancel__semiring @t16)) % 37.95/38.17 (define @t403 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t282 @t19)) % 37.95/38.17 (define @t404 () (tptp.class_Rings_Oordered__ring @t16)) % 37.95/38.17 (define @t405 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t308 @t284)) % 37.95/38.17 (define @t406 () (tptp.class_Rings_Oordered__semiring @t16)) % 37.95/38.17 (define @t407 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t202 @t95)) % 37.95/38.17 (define @t408 () (= @t228 @t76)) % 37.95/38.17 (define @t409 () (or @t227 @t408)) % 37.95/38.17 (define @t410 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t228 @t95)) % 37.95/38.17 (define @t411 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t228 @t202)) % 37.95/38.17 (define @t412 () (= @t411 @t410)) % 37.95/38.17 (define @t413 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t95 @t228)) % 37.95/38.17 (define @t414 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t202 @t228)) % 37.95/38.17 (define @t415 () (tptp.c_Nat_OSuc @t228)) % 37.95/38.17 (define @t416 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t415 @t95)) % 37.95/38.17 (define @t417 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t415 @t202)) % 37.95/38.17 (define @t418 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t224 @t97)) % 37.95/38.17 (define @t419 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t224 @t118)) % 37.95/38.17 (define @t420 () (@list @t97 @t118 @t224)) % 37.95/38.17 (define @t421 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t97 @t224)) % 37.95/38.17 (define @t422 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t118 @t224)) % 37.95/38.17 (define @t423 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t118 @t118)) % 37.95/38.17 (define @t424 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t265 @t224)) % 37.95/38.17 (define @t425 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t264 @t224)) % 37.95/38.17 (define @t426 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t224 @t265)) % 37.95/38.17 (define @t427 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t224 @t264)) % 37.95/38.17 (define @t428 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t118 @t97)) % 37.95/38.17 (define @t429 () (tptp.class_Rings_Omult__zero @t16)) % 37.95/38.17 (define @t430 () (= @t46 @t19)) % 37.95/38.17 (define @t431 () (= @t282 @t19)) % 37.95/38.17 (define @t432 () (= @t128 @t19)) % 37.95/38.17 (define @t433 () (not @t432)) % 37.95/38.17 (define @t434 () (tptp.class_Rings_Ono__zero__divisors @t16)) % 37.95/38.17 (define @t435 () (@var "V_e" $$unsorted)) % 37.95/38.17 (define @t436 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t128 @t234)) % 37.95/38.17 (define @t437 () (=> @t377 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t308 @t436))) % 37.95/38.17 (define @t438 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t80 @t128)) % 37.95/38.17 (define @t439 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t80 @t32)) % 37.95/38.17 (define @t440 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t439 @t438)) % 37.95/38.17 (define @t441 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t80 @t19)) % 37.95/38.17 (define @t442 () (=> @t314 (=> @t377 @t440))) % 37.95/38.17 (define @t443 () (tptp.class_Orderings_Opreorder @t16)) % 37.95/38.17 (define @t444 () (@var "V_l_2" $$unsorted)) % 37.95/38.17 (define @t445 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t69 @t222)) % 37.95/38.17 (define @t446 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t69 @t77)) % 37.95/38.17 (define @t447 () (@list @t77 @t221 @t69)) % 37.95/38.17 (define @t448 () (@var "V_ya" $$unsorted)) % 37.95/38.17 (define @t449 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t77 @t448)) % 37.95/38.17 (define @t450 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t69 @t448)) % 37.95/38.17 (define @t451 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t69 @t77)) % 37.95/38.17 (define @t452 () (tptp.class_RealVector_Oreal__normed__algebra @t16)) % 37.95/38.17 (define @t453 () (@list @t448 @t77 @t69 @t16)) % 37.95/38.17 (define @t454 () (@var "V_a_H" $$unsorted)) % 37.95/38.17 (define @t455 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t454 @t128)) % 37.95/38.17 (define @t456 () (@list @t128 @t454 @t32 @t16)) % 37.95/38.17 (define @t457 () (@var "V_xa" $$unsorted)) % 37.95/38.17 (define @t458 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t457 @t77)) % 37.95/38.17 (define @t459 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t457 @t69)) % 37.95/38.17 (define @t460 () (@list @t77 @t69 @t457 @t16)) % 37.95/38.17 (define @t461 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t97 @t118)) % 37.95/38.17 (define @t462 () (tptp.tc_fun @t16 @t51)) % 37.95/38.17 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq @t462 @t2 @t1)) % 37.95/38.17 (define @t464 () (tptp.class_Orderings_Oord @t51)) % 37.95/38.17 (define @t465 () (@list @t1 @t2 @t16 @t51)) % 37.95/38.17 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t77 @t69)) % 37.95/38.17 (define @t467 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t69 @t77)) % 37.95/38.17 (define @t468 () (tptp.class_Orderings_Olinorder @t16)) % 37.95/38.17 (define @t469 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t161 @t59)) % 37.95/38.17 (define @t470 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t59 @t161)) % 37.95/38.17 (define @t471 () (tptp.class_Orderings_Oorder @t16)) % 37.95/38.17 (define @t472 () (= @t470 @t162)) % 37.95/38.17 (define @t473 () (@list @t59 @t161 @t16)) % 37.95/38.17 (define @t474 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t32 @t80)) % 37.95/38.17 (define @t475 () (tptp.class_Orderings_Oord @t16)) % 37.95/38.17 (define @t476 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t80 @t32)) % 37.95/38.17 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t77 @t221)) % 37.95/38.17 (define @t478 () (@list @t69 @t77 @t16)) % 37.95/38.17 (define @t479 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t221 @t77)) % 37.95/38.17 (define @t480 () (@list @t221 @t69 @t77 @t16)) % 37.95/38.17 (define @t481 () (@list @t77 @t16)) % 37.95/38.17 (define @t482 () (@var "V_b_H" $$unsorted)) % 37.95/38.17 (define @t483 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t482)) % 37.95/38.17 (define @t484 () (@list @t482 @t128 @t32 @t16)) % 37.95/38.17 (define @t485 () (@var "V_u" $$unsorted)) % 37.95/38.17 (define @t486 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t264 @t265)) % 37.95/38.17 (define @t487 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t265 @t485)) % 37.95/38.17 (define @t488 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t264 @t485)) % 37.95/38.17 (define @t489 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t177 @t97)) % 37.95/38.17 (define @t490 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t209 @t104)) % 37.95/38.17 (define @t491 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 @t97)) % 37.95/38.17 (define @t492 () (tptp.c_Orderings_Oord__class_Oless @t16 @t161 @t59)) % 37.95/38.17 (define @t493 () (tptp.c_Orderings_Oord__class_Oless @t16 @t59 @t161)) % 37.95/38.17 (define @t494 () (not @t162)) % 37.95/38.17 (define @t495 () (not @t493)) % 37.95/38.17 (define @t496 () (tptp.c_Orderings_Oord__class_Oless @t16 @t77 @t69)) % 37.95/38.17 (define @t497 () (tptp.c_Orderings_Oord__class_Oless @t16 @t69 @t77)) % 37.95/38.17 (define @t498 () (= @t495 @t162)) % 37.95/38.17 (define @t499 () (not @t497)) % 37.95/38.17 (define @t500 () (not @t246)) % 37.95/38.17 (define @t501 () (=> @t500 (=> @t499 @t496))) % 37.95/38.17 (define @t502 () (tptp.c_Orderings_Oord__class_Oless @t16 @t128 @t32)) % 37.95/38.17 (define @t503 () (tptp.c_Orderings_Oord__class_Oless @t16 @t32 @t128)) % 37.95/38.17 (define @t504 () (@list @t32 @t128 @t16)) % 37.95/38.17 (define @t505 () (tptp.c_Orderings_Oord__class_Oless @t16 @t32 @t80)) % 37.95/38.17 (define @t506 () (tptp.c_Orderings_Oord__class_Oless @t16 @t128 @t80)) % 37.95/38.17 (define @t507 () (tptp.c_Orderings_Oord__class_Oless @t16 @t80 @t32)) % 37.95/38.17 (define @t508 () (tptp.c_Orderings_Oord__class_Oless @t16 @t69 @t221)) % 37.95/38.17 (define @t509 () (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t77 @t221) @t508)) % 37.95/38.17 (define @t510 () (tptp.c_Orderings_Oord__class_Oless @t16 @t221 @t69)) % 37.95/38.17 (define @t511 () (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t221 @t77) @t510)) % 37.95/38.17 (define @t512 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t95 @t202)) % 37.95/38.17 (define @t513 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t202 @t95)) % 37.95/38.17 (define @t514 () (not @t227)) % 37.95/38.17 (define @t515 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t69 @t77)) % 37.95/38.17 (define @t516 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t118)) % 37.95/38.17 (define @t517 () (@var "V_t" $$unsorted)) % 37.95/38.17 (define @t518 () (@var "V_s" $$unsorted)) % 37.95/38.17 (define @t519 () (tptp.hAPP @t93 @t95)) % 37.95/38.17 (define @t520 () (tptp.hBOOL (tptp.hAPP @t519 @t202))) % 37.95/38.17 (define @t521 () (tptp.class_Rings_Olinordered__idom @t16)) % 37.95/38.17 (define @t522 () (not @t360)) % 37.95/38.17 (define @t523 () (tptp.c_Orderings_Oord__class_Oless @t16 @t24 @t46)) % 37.95/38.17 (define @t524 () (tptp.c_Orderings_Oord__class_Oless @t16 @t134 @t158)) % 37.95/38.17 (define @t525 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t16)) % 37.95/38.17 (define @t526 () (tptp.c_Orderings_Oord__class_Oless @t16 @t130 @t315)) % 37.95/38.17 (define @t527 () (tptp.c_Orderings_Oord__class_Oless @t16 @t134 @t235)) % 37.95/38.17 (define @t528 () (tptp.c_Orderings_Oord__class_Oless @t16 @t80 @t234)) % 37.95/38.17 (define @t529 () (=> @t528 @t527)) % 37.95/38.17 (define @t530 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t95)) % 37.95/38.17 (define @t531 () (not @t245)) % 37.95/38.17 (define @t532 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t97)) % 37.95/38.17 (define @t533 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t209 @t97)) % 37.95/38.17 (define @t534 () (not @t491)) % 37.95/38.17 (define @t535 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 @t104)) % 37.95/38.17 (define @t536 () (tptp.c_Nat_OSuc @t264)) % 37.95/38.17 (define @t537 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t265 @t224)) % 37.95/38.17 (define @t538 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t264 @t265)) % 37.95/38.17 (define @t539 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t95 @t332)) % 37.95/38.17 (define @t540 () (= @t539 (= @t95 @t202))) % 37.95/38.17 (define @t541 () (or @t513 @t227)) % 37.95/38.17 (define @t542 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t202 @t329)) % 37.95/38.17 (define @t543 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t265 @t264)) % 37.95/38.17 (define @t544 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t340)) % 37.95/38.17 (define @t545 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t224 @t97)) % 37.95/38.17 (define @t546 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t69 @t222)) % 37.95/38.17 (define @t547 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t411 @t410)) % 37.95/38.17 (define @t548 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t228)) % 37.95/38.17 (define @t549 () (tptp.c_Orderings_Oord__class_Oless @t16 @t439 @t438)) % 37.95/38.17 (define @t550 () (tptp.c_Orderings_Oord__class_Oless @t16 @t80 @t19)) % 37.95/38.17 (define @t551 () (tptp.c_Orderings_Oord__class_Oless @t16 @t308 @t284)) % 37.95/38.17 (define @t552 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t80)) % 37.95/38.17 (define @t553 () (=> @t503 (=> @t552 @t549))) % 37.95/38.17 (define @t554 () (tptp.class_Rings_Olinordered__semiring__strict @t16)) % 37.95/38.17 (define @t555 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t282)) % 37.95/38.17 (define @t556 () (tptp.c_Orderings_Oord__class_Oless @t16 @t128 @t19)) % 37.95/38.17 (define @t557 () (tptp.c_Orderings_Oord__class_Oless @t16 @t32 @t19)) % 37.95/38.17 (define @t558 () (tptp.c_Orderings_Oord__class_Oless @t16 @t282 @t19)) % 37.95/38.17 (define @t559 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t128)) % 37.95/38.17 (define @t560 () (tptp.c_Orderings_Oord__class_Oless @t16 @t46 @t24)) % 37.95/38.17 (define @t561 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t107 @t46)) % 37.95/38.17 (define @t562 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t107 @t24)) % 37.95/38.17 (define @t563 () (tptp.c_Orderings_Oord__class_Oless @t16 @t562 @t561)) % 37.95/38.17 (define @t564 () (tptp.c_Orderings_Oord__class_Oless @t16 @t107 @t19)) % 37.95/38.17 (define @t565 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t32)) % 37.95/38.17 (define @t566 () (=> @t565 @t559)) % 37.95/38.17 (define @t567 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t107)) % 37.95/38.17 (define @t568 () (or (and @t567 @t523) (and @t564 @t560))) % 37.95/38.17 (define @t569 () (tptp.c_Orderings_Oord__class_Oless @t16 @t128 @t134)) % 37.95/38.17 (define @t570 () (=> @t506 @t569)) % 37.95/38.17 (define @t571 () (tptp.class_Rings_Olinordered__semidom @t16)) % 37.95/38.17 (define @t572 () (tptp.c_Orderings_Oord__class_Oless @t16 @t24 @t19)) % 37.95/38.17 (define @t573 () (= (tptp.c_Orderings_Oord__class_Oless @t16 @t191 @t19) @t572)) % 37.95/38.17 (define @t574 () (tptp.c_Orderings_Oord__class_Oless @t16 @t135 @t19)) % 37.95/38.17 (define @t575 () (=> @t556 @t574)) % 37.95/38.17 (define @t576 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t135)) % 37.95/38.17 (define @t577 () (=> @t559 @t576)) % 37.95/38.17 (define @t578 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t24)) % 37.95/38.17 (define @t579 () (@var "B_j" $$unsorted)) % 37.95/38.17 (define @t580 () (@var "B_m" $$unsorted)) % 37.95/38.17 (define @t581 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t411 @t410)) % 37.95/38.17 (define @t582 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t202)) % 37.95/38.17 (define @t583 () (@list @t118 @t264)) % 37.95/38.17 (define @t584 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t224)) % 37.95/38.17 (define @t585 () (and @t548 @t513)) % 37.95/38.17 (define @t586 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t294 @t97)) % 37.95/38.17 (define @t587 () (=> @t552 @t314)) % 37.95/38.17 (define @t588 () (=> @t377 @t503)) % 37.95/38.17 (define @t589 () (=> @t549 @t588)) % 37.95/38.17 (define @t590 () (tptp.class_Rings_Olinordered__semiring @t16)) % 37.95/38.17 (define @t591 () (=> @t551 @t588)) % 37.95/38.17 (define @t592 () (tptp.c_Orderings_Oord__class_Oless @t16 @t308 @t436)) % 37.95/38.17 (define @t593 () (=> @t377 @t592)) % 37.95/38.17 (define @t594 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t562 @t561)) % 37.95/38.17 (define @t595 () (not @t289)) % 37.95/38.17 (define @t596 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t200 @t118)) % 37.95/38.17 (define @t597 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t200 @t97)) % 37.95/38.17 (define @t598 () (=> @t548 @t331)) % 37.95/38.17 (define @t599 () (@list @t69)) % 37.95/38.17 (define @t600 () (@var "V_r_2" $$unsorted)) % 37.95/38.17 (define @t601 () (= @t600 @t18)) % 37.95/38.17 (define @t602 () (= @t161 @t18)) % 37.95/38.17 (define @t603 () (= @t44 @t18)) % 37.95/38.17 (define @t604 () (tptp.class_Fields_Ofield @t16)) % 37.95/38.17 (define @t605 () (tptp.c_Polynomial_Opos__poly @t16 @t22)) % 37.95/38.17 (define @t606 () (@var "B_i" $$unsorted)) % 37.95/38.17 (define @t607 () (= (tptp.hAPP @t153 @t606) @t19)) % 37.95/38.17 (define @t608 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t606)) % 37.95/38.17 (define @t609 () (@list @t606)) % 37.95/38.17 (define @t610 () (@list @t81 @t97 @t16)) % 37.95/38.17 (define @t611 () (@var "V_r2" $$unsorted)) % 37.95/38.17 (define @t612 () (@var "V_r1" $$unsorted)) % 37.95/38.17 (define @t613 () (= @t612 @t611)) % 37.95/38.17 (define @t614 () (@var "V_q2" $$unsorted)) % 37.95/38.17 (define @t615 () (@var "V_q1" $$unsorted)) % 37.95/38.17 (define @t616 () (= @t615 @t614)) % 37.95/38.17 (define @t617 () (tptp.c_Polynomial_Opdivmod__rel @t16 @t69 @t77 @t614 @t611)) % 37.95/38.17 (define @t618 () (tptp.c_Polynomial_Opdivmod__rel @t16 @t69 @t77 @t615 @t612)) % 37.95/38.17 (define @t619 () (@list @t611 @t614 @t612 @t615 @t77 @t69 @t16)) % 37.95/38.17 (define @t620 () (tptp.c_Polynomial_Osmult @t16 @t32 @t69)) % 37.95/38.17 (define @t621 () (tptp.c_Polynomial_Opdivmod__rel @t16 @t69 @t77 @t87 @t197)) % 37.95/38.17 (define @t622 () (tptp.c_Polynomial_Opos__poly @t16 @t87)) % 37.95/38.17 (define @t623 () (tptp.c_Polynomial_Opos__poly @t16 @t81)) % 37.95/38.17 (define @t624 () (@var "V_r_H" $$unsorted)) % 37.95/38.17 (define @t625 () (@var "V_q_H" $$unsorted)) % 37.95/38.17 (define @t626 () (@var "V_v" $$unsorted)) % 37.95/38.17 (define @t627 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t485 @t69) (tptp.c_Groups_Otimes__class_Otimes @t16 @t626 @t77))) % 37.95/38.17 (define @t628 () (tptp.c_Groups_Oone__class_Oone @t16)) % 37.95/38.17 (define @t629 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t485 @t626) @t628)) % 37.95/38.17 (define @t630 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t626)) % 37.95/38.17 (define @t631 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t485)) % 37.95/38.17 (define @t632 () (@list @t626 @t485 @t77 @t32 @t69 @t16)) % 37.95/38.17 (define @t633 () (@var "V_u_2" $$unsorted)) % 37.95/38.17 (define @t634 () (@var "V_i_2" $$unsorted)) % 37.95/38.17 (define @t635 () (@var "V_j_2" $$unsorted)) % 37.95/38.17 (define @t636 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t635 @t634)) % 37.95/38.17 (define @t637 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t636 @t633) @t95)) % 37.95/38.17 (define @t638 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t635 @t633) @t95)) % 37.95/38.17 (define @t639 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t634 @t633) @t202)) % 37.95/38.17 (define @t640 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t639 @t638)) % 37.95/38.17 (define @t641 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t634 @t635)) % 37.95/38.17 (define @t642 () (@list @t95 @t202 @t633 @t635 @t634)) % 37.95/38.17 (define @t643 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t634 @t635) @t633) @t202)) % 37.95/38.17 (define @t644 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t635 @t634)) % 37.95/38.17 (define @t645 () (@list @t95 @t202 @t633 @t634 @t635)) % 37.95/38.17 (define @t646 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t24 @t46)) % 37.95/38.17 (define @t647 () (= @t646 @t19)) % 37.95/38.17 (define @t648 () (tptp.class_Groups_Ogroup__add @t16)) % 37.95/38.17 (define @t649 () (tptp.class_Groups_Oab__group__add @t16)) % 37.95/38.17 (define @t650 () (= @t646 (tptp.c_Groups_Ominus__class_Ominus @t16 @t107 @t304))) % 37.95/38.17 (define @t651 () (tptp.class_Groups_Oordered__ab__group__add @t16)) % 37.95/38.17 (define @t652 () (tptp.c_Polynomial_OpCons @t16 @t628 @t18)) % 37.95/38.17 (define @t653 () (tptp.c_Groups_Oone__class_Oone @t17)) % 37.95/38.17 (define @t654 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t69 @t77)) % 37.95/38.17 (define @t655 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t32 @t128)) % 37.95/38.17 (define @t656 () (tptp.class_Rings_Ozero__neq__one @t16)) % 37.95/38.17 (define @t657 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t97)) % 37.95/38.17 (define @t658 () (= @t657 @t76)) % 37.95/38.17 (define @t659 () (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t628) @t32)) % 37.95/38.17 (define @t660 () (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t628 @t32) @t32)) % 37.95/38.17 (define @t661 () (tptp.class_Groups_Ocomm__monoid__mult @t16)) % 37.95/38.17 (define @t662 () (tptp.class_Groups_Omonoid__mult @t16)) % 37.95/38.17 (define @t663 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t209 @t97)) % 37.95/38.17 (define @t664 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t340 @t118)) % 37.95/38.17 (define @t665 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t340 @t97)) % 37.95/38.17 (define @t666 () (@list @t340 @t97 @t118)) % 37.95/38.17 (define @t667 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t224 @t118)) % 37.95/38.17 (define @t668 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t264 @t265)) % 37.95/38.17 (define @t669 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t668 @t224)) % 37.95/38.17 (define @t670 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t95 @t228)) % 37.95/38.17 (define @t671 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t202 @t228)) % 37.95/38.17 (define @t672 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t228 @t95)) % 37.95/38.17 (define @t673 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t228 @t202)) % 37.95/38.17 (define @t674 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 37.95/38.17 (define @t675 () (= @t95 @t674)) % 37.95/38.17 (define @t676 () (= @t202 @t674)) % 37.95/38.17 (define @t677 () (and @t676 @t675)) % 37.95/38.17 (define @t678 () (= @t59 @t628)) % 37.95/38.17 (define @t679 () (tptp.class_Rings_Ocomm__ring @t16)) % 37.95/38.17 (define @t680 () (tptp.c_Groups_Ominus__class_Ominus @t17 @t81 @t87)) % 37.95/38.17 (define @t681 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t674)) % 37.95/38.17 (define @t682 () (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t97 @t674))) % 37.95/38.17 (define @t683 () (= @t118 @t76)) % 37.95/38.17 (define @t684 () (not @t683)) % 37.95/38.17 (define @t685 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t653) @t97)) % 37.95/38.17 (define @t686 () (@var "V_e_2" $$unsorted)) % 37.95/38.17 (define @t687 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t646 @t686) @t107)) % 37.95/38.17 (define @t688 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t46 @t686) @t304)) % 37.95/38.17 (define @t689 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t24 @t686) @t107)) % 37.95/38.17 (define @t690 () (= @t689 @t688)) % 37.95/38.17 (define @t691 () (tptp.class_Rings_Oring @t16)) % 37.95/38.17 (define @t692 () (@list @t304 @t46 @t107 @t686 @t24 @t16)) % 37.95/38.17 (define @t693 () (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t46 @t24) @t686) @t304)) % 37.95/38.17 (define @t694 () (= @t690 (= @t107 @t693))) % 37.95/38.17 (define @t695 () (forall @t692 (=> @t691 @t694))) % 37.95/38.17 (define @t696 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t77 @t128)) % 37.95/38.17 (define @t697 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t69 @t32)) % 37.95/38.17 (define @t698 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t697 @t128)) % 37.95/38.17 (define @t699 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t301 @t282)) % 37.95/38.17 (define @t700 () (@list @t128 @t32 @t77 @t69 @t16)) % 37.95/38.17 (define @t701 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t628)) % 37.95/38.17 (define @t702 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t701 @t118)) % 37.95/38.17 (define @t703 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t628 @t628)) % 37.95/38.17 (define @t704 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t118)) % 37.95/38.17 (define @t705 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t97 @t657) @t118)) % 37.95/38.17 (define @t706 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t634 @t228)) % 37.95/38.17 (define @t707 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t635 @t228)) % 37.95/38.17 (define @t708 () (@list @t228 @t635 @t634)) % 37.95/38.17 (define @t709 () (@list @t80 @t128 @t32)) % 37.95/38.17 (define @t710 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t265 @t224)) % 37.95/38.17 (define @t711 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t710 @t264)) % 37.95/38.17 (define @t712 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t543 @t224)) % 37.95/38.17 (define @t713 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t265)) % 37.95/38.17 (define @t714 () (@list @t264 @t265 @t224)) % 37.95/38.17 (define @t715 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t264 @t710)) % 37.95/38.17 (define @t716 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t486 @t224)) % 37.95/38.17 (define @t717 () (@list @t118 @t97 @t224)) % 37.95/38.17 (define @t718 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t689 @t688)) % 37.95/38.17 (define @t719 () (tptp.c_Orderings_Oord__class_Oless @t16 @t689 @t688)) % 37.95/38.17 (define @t720 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t77 @t628)) % 37.95/38.17 (define @t721 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t77)) % 37.95/38.17 (define @t722 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t69)) % 37.95/38.17 (define @t723 () (@var "B_d" $$unsorted)) % 37.95/38.17 (define @t724 () (tptp.hBOOL (tptp.hAPP @t93 @t723))) % 37.95/38.17 (define @t725 () (= @t24 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t46 @t723))) % 37.95/38.17 (define @t726 () (@list @t723)) % 37.95/38.17 (define @t727 () (tptp.hBOOL (tptp.hAPP @t93 @t76))) % 37.95/38.17 (define @t728 () (not @t727)) % 37.95/38.17 (define @t729 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24 @t46)) % 37.95/38.17 (define @t730 () (tptp.hBOOL (tptp.hAPP @t93 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t24 @t46)))) % 37.95/38.17 (define @t731 () (@list @t46 @t24 @t93)) % 37.95/38.17 (define @t732 () (tptp.c_Nat_OSuc @t265)) % 37.95/38.17 (define @t733 () (tptp.c_Nat_OSuc @t710)) % 37.95/38.17 (define @t734 () (@list @t118 @t265 @t224)) % 37.95/38.17 (define @t735 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t639 @t638)) % 37.95/38.17 (define @t736 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t488 @t118) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t487 @t97))) % 37.95/38.17 (define @t737 () (= @t639 @t638)) % 37.95/38.17 (define @t738 () (tptp.class_Rings_Ocomm__ring__1 @t16)) % 37.95/38.17 (define @t739 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t24)) % 37.95/38.17 (define @t740 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t46)) % 37.95/38.17 (define @t741 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t128 @t32)) % 37.95/38.17 (define @t742 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t655)) % 37.95/38.17 (define @t743 () (tptp.c_Polynomial_Opos__poly @t16 (tptp.c_Groups_Ominus__class_Ominus @t17 @t161 @t59))) % 37.95/38.17 (define @t744 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t81)) % 37.95/38.17 (define @t745 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t32)) % 37.95/38.17 (define @t746 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t149)) % 37.95/38.17 (define @t747 () (= @t24 @t740)) % 37.95/38.17 (define @t748 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t59)) % 37.95/38.17 (define @t749 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t128)) % 37.95/38.17 (define @t750 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t135)) % 37.95/38.17 (define @t751 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t749)) % 37.95/38.17 (define @t752 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t282)) % 37.95/38.17 (define @t753 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t745 @t128)) % 37.95/38.17 (define @t754 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t69)) % 37.95/38.17 (define @t755 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t19)) % 37.95/38.17 (define @t756 () (=> @t648 (= @t755 @t19))) % 37.95/38.17 (define @t757 () (forall @t21 @t756)) % 37.95/38.17 (define @t758 () (= @t19 @t24)) % 37.95/38.17 (define @t759 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t745)) % 37.95/38.17 (define @t760 () (=> @t648 (= @t759 @t19))) % 37.95/38.17 (define @t761 () (forall @t91 @t760)) % 37.95/38.17 (define @t762 () (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t745 @t32) @t19)) % 37.95/38.17 (define @t763 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t19 @t32)) % 37.95/38.17 (define @t764 () (=> @t648 (= @t763 @t745))) % 37.95/38.17 (define @t765 () (forall @t91 @t764)) % 37.95/38.17 (define @t766 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t628)) % 37.95/38.17 (define @t767 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t77)) % 37.95/38.17 (define @t768 () (= @t655 (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t749))) % 37.95/38.17 (define @t769 () (tptp.c_Polynomial_Odegree @t16 @t680)) % 37.95/38.17 (define @t770 () (tptp.c_Polynomial_OpCons @t16 @t32 @t197)) % 37.95/38.17 (define @t771 () (tptp.c_Polynomial_OpCons @t16 @t32 @t69)) % 37.95/38.17 (define @t772 () (tptp.c_Polynomial_Odegree @t16 @t77)) % 37.95/38.17 (define @t773 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t77) @t772)) % 37.95/38.17 (define @t774 () (= @t77 @t18)) % 37.95/38.17 (define @t775 () (not @t774)) % 37.95/38.17 (define @t776 () (tptp.class_Lattices_Oboolean__algebra @t16)) % 37.95/38.17 (define @t777 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t77 @t448)) % 37.95/38.17 (define @t778 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t69 @t448)) % 37.95/38.17 (define @t779 () (tptp.class_RealVector_Oreal__normed__field @t16)) % 37.95/38.17 (define @t780 () (tptp.class_Rings_Odivision__ring @t16)) % 37.95/38.17 (define @t781 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t128 @t80)) % 37.95/38.17 (define @t782 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t32 @t80)) % 37.95/38.17 (define @t783 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t32 @t128)) % 37.95/38.17 (define @t784 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t783)) % 37.95/38.17 (define @t785 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t69 @t77)) % 37.95/38.17 (define @t786 () (tptp.class_Rings_Odivision__ring__inverse__zero @t16)) % 37.95/38.17 (define @t787 () (not (= @t80 @t19))) % 37.95/38.17 (define @t788 () (= @t46 @t305)) % 37.95/38.17 (define @t789 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t46 @t107)) % 37.95/38.17 (define @t790 () (= @t789 @t24)) % 37.95/38.17 (define @t791 () (= @t107 @t19)) % 37.95/38.17 (define @t792 () (not @t791)) % 37.95/38.17 (define @t793 () (@list @t24 @t46 @t107 @t16)) % 37.95/38.17 (define @t794 () (= @t305 @t46)) % 37.95/38.17 (define @t795 () (= @t24 @t789)) % 37.95/38.17 (define @t796 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t32 @t32)) % 37.95/38.17 (define @t797 () (=> @t180 (= @t796 @t628))) % 37.95/38.17 (define @t798 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t24 @t46)) % 37.95/38.17 (define @t799 () (= @t784 (tptp.c_Rings_Oinverse__class_Odivide @t16 @t32 @t749))) % 37.95/38.17 (define @t800 () (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t745 @t749) @t783)) % 37.95/38.17 (define @t801 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t16)) % 37.95/38.17 (define @t802 () (@var "V_B_2" $$unsorted)) % 37.95/38.17 (define @t803 () (@var "V_A_2" $$unsorted)) % 37.95/38.17 (define @t804 () (tptp.hAPP @t803 @t59)) % 37.95/38.17 (define @t805 () (tptp.tc_fun @t51 @t16)) % 37.95/38.17 (define @t806 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t161)) % 37.95/38.17 (define @t807 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t80 @t128)) % 37.95/38.17 (define @t808 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t80 @t32)) % 37.95/38.17 (define @t809 () (=> @t555 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t808 @t807))) % 37.95/38.17 (define @t810 () (tptp.class_Fields_Olinordered__field__inverse__zero @t16)) % 37.95/38.17 (define @t811 () (tptp.class_Fields_Olinordered__field @t16)) % 37.95/38.17 (define @t812 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t305 @t46)) % 37.95/38.17 (define @t813 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t789 @t24)) % 37.95/38.17 (define @t814 () (@var "V_w" $$unsorted)) % 37.95/38.17 (define @t815 () (tptp.class_Fields_Ofield__inverse__zero @t16)) % 37.95/38.17 (define @t816 () (tptp.c_Orderings_Oord__class_Oless @t16 @t46 @t19)) % 37.95/38.17 (define @t817 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t46)) % 37.95/38.17 (define @t818 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t785)) % 37.95/38.17 (define @t819 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t77)) % 37.95/38.17 (define @t820 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t69)) % 37.95/38.17 (define @t821 () (tptp.c_Orderings_Oord__class_Oless @t16 @t785 @t19)) % 37.95/38.17 (define @t822 () (tptp.c_Orderings_Oord__class_Oless @t16 @t77 @t19)) % 37.95/38.17 (define @t823 () (tptp.c_Orderings_Oord__class_Oless @t16 @t69 @t19)) % 37.95/38.17 (define @t824 () (tptp.c_Orderings_Oord__class_Oless @t16 @t782 @t781)) % 37.95/38.17 (define @t825 () (=> @t791 @t25)) % 37.95/38.17 (define @t826 () (@list @t24 @t107 @t46 @t16)) % 37.95/38.17 (define @t827 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t785)) % 37.95/38.17 (define @t828 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t69 @t19)) % 37.95/38.17 (define @t829 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t785 @t19)) % 37.95/38.17 (define @t830 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t77 @t814)) % 37.95/38.17 (define @t831 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t69 @t221)) % 37.95/38.17 (define @t832 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t814 @t221)) % 37.95/38.17 (define @t833 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t814)) % 37.95/38.17 (define @t834 () (@list @t221 @t814 @t77 @t69 @t16)) % 37.95/38.17 (define @t835 () (tptp.c_Orderings_Oord__class_Oless @t16 @t831 @t830)) % 37.95/38.17 (define @t836 () (not @t564)) % 37.95/38.17 (define @t837 () (tptp.c_Orderings_Oord__class_Oless @t16 @t46 @t305)) % 37.95/38.17 (define @t838 () (not @t567)) % 37.95/38.17 (define @t839 () (tptp.c_Orderings_Oord__class_Oless @t16 @t305 @t46)) % 37.95/38.17 (define @t840 () (tptp.c_Orderings_Oord__class_Oless @t16 @t24 @t789)) % 37.95/38.17 (define @t841 () (tptp.c_Orderings_Oord__class_Oless @t16 @t789 @t24)) % 37.95/38.17 (define @t842 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t221 @t77)) % 37.95/38.17 (define @t843 () (@list @t69 @t221 @t77 @t16)) % 37.95/38.17 (define @t844 () (=> @t555 (tptp.c_Orderings_Oord__class_Oless @t16 @t808 @t807))) % 37.95/38.17 (define @t845 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t69 @t842)) % 37.95/38.17 (define @t846 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t845 @t77)) % 37.95/38.17 (define @t847 () (not (= @t77 @t19))) % 37.95/38.17 (define @t848 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t221 @t69)) % 37.95/38.17 (define @t849 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t77 @t221)) % 37.95/38.17 (define @t850 () (not (= @t221 @t19))) % 37.95/38.17 (define @t851 () (@list @t77 @t69 @t221 @t16)) % 37.95/38.17 (define @t852 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t77 @t221)) % 37.95/38.17 (define @t853 () (tptp.c_Groups_Otimes__class_Otimes @t16 @t814 @t77)) % 37.95/38.17 (define @t854 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t814 @t221)) % 37.95/38.17 (define @t855 () (@list @t814 @t69 @t221 @t77 @t16)) % 37.95/38.17 (define @t856 () (tptp.c_Rings_Oinverse__class_Odivide @t16 @t135 @t703)) % 37.95/38.17 (define @t857 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t46 @t305)) % 37.95/38.17 (define @t858 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t24 @t789)) % 37.95/38.17 (define @t859 () (tptp.c_Divides_Odiv__class_Omod @t17 @t69 @t77)) % 37.95/38.17 (define @t860 () (tptp.c_Polynomial_OpCons @t16 @t32 @t859)) % 37.95/38.17 (define @t861 () (tptp.c_Groups_Osgn__class_Osgn @t17 @t69)) % 37.95/38.17 (define @t862 () (tptp.c_Orderings_Oord__class_Oless @t17 @t18 @t69)) % 37.95/38.17 (define @t863 () (= @t69 @t18)) % 37.95/38.17 (define @t864 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t69)) % 37.95/38.17 (define @t865 () (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t77)) % 37.95/38.17 (define @t866 () (tptp.c_Groups_Osgn__class_Osgn @t16 @t69)) % 37.95/38.17 (define @t867 () (tptp.class_RealVector_Oreal__normed__vector @t16)) % 37.95/38.17 (define @t868 () (@list @t77 @t69 @t32 @t16)) % 37.95/38.17 (define @t869 () (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t19) @t19)) % 37.95/38.17 (define @t870 () (tptp.class_Groups_Osgn__if @t16)) % 37.95/38.17 (define @t871 () (tptp.c_Groups_Osgn__class_Osgn @t16 @t24)) % 37.95/38.17 (define @t872 () (tptp.c_Groups_Osgn__class_Osgn @t16 @t32)) % 37.95/38.17 (define @t873 () (tptp.c_Polynomial_Odegree @t16 @t69)) % 37.95/38.17 (define @t874 () (tptp.c_Polynomial_Osmult @t16 @t32 @t77)) % 37.95/38.17 (define @t875 () (= @t69 @t19)) % 37.95/38.17 (define @t876 () (tptp.c_Divides_Odiv__class_Omod @t16 @t32 @t128)) % 37.95/38.17 (define @t877 () (tptp.class_Divides_Osemiring__div @t16)) % 37.95/38.17 (define @t878 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t118 @t97)) % 37.95/38.17 (define @t879 () (= @t878 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t657 @t97))) % 37.95/38.17 (define @t880 () (=> @t534 @t879)) % 37.95/38.17 (define @t881 () (=> @t491 (= @t878 @t118))) % 37.95/38.17 (define @t882 () (tptp.c_Nat_OSuc @t878)) % 37.95/38.17 (define @t883 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t209 @t97)) % 37.95/38.17 (define @t884 () (= @t882 @t97)) % 37.95/38.17 (define @t885 () (@var "B_q" $$unsorted)) % 37.95/38.17 (define @t886 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t418 @t118)) % 37.95/38.17 (define @t887 () (tptp.hBOOL @t519)) % 37.95/38.17 (define @t888 () (tptp.c_Divides_Odiv__class_Omod @t16 @t282 @t80)) % 37.95/38.17 (define @t889 () (tptp.c_Divides_Odiv__class_Omod @t16 @t128 @t80)) % 37.95/38.17 (define @t890 () (= @t889 (tptp.c_Divides_Odiv__class_Omod @t16 @t482 @t80))) % 37.95/38.17 (define @t891 () (tptp.c_Divides_Odiv__class_Omod @t16 @t32 @t80)) % 37.95/38.17 (define @t892 () (= @t891 (tptp.c_Divides_Odiv__class_Omod @t16 @t454 @t80))) % 37.95/38.17 (define @t893 () (@list @t482 @t128 @t454 @t80 @t32 @t16)) % 37.95/38.17 (define @t894 () (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t891 @t128) @t80)) % 37.95/38.17 (define @t895 () (tptp.c_Divides_Odiv__class_Omod @t16 @t135 @t80)) % 37.95/38.17 (define @t896 () (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t891 @t128) @t80)) % 37.95/38.17 (define @t897 () (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t889) @t80)) % 37.95/38.17 (define @t898 () (tptp.c_Divides_Odiv__class_Omod @t16 @t655 @t80)) % 37.95/38.17 (define @t899 () (tptp.class_Divides_Oring__div @t16)) % 37.95/38.17 (define @t900 () (tptp.c_Divides_Odiv__class_Omod @t16 @t745 @t128)) % 37.95/38.17 (define @t901 () (tptp.c_Polynomial_Opoly__gcd @t16 @t69 @t77)) % 37.95/38.17 (define @t902 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t901) (tptp.c_Polynomial_Odegree @t16 @t901))) % 37.95/38.17 (define @t903 () (and @t863 @t774)) % 37.95/38.17 (define @t904 () (not @t903)) % 37.95/38.17 (define @t905 () (tptp.c_Polynomial_Opoly__gcd @t16 @t59 @t161)) % 37.95/38.17 (define @t906 () (tptp.c_Polynomial_Opoly__gcd @t16 @t32 @t128)) % 37.95/38.17 (define @t907 () (tptp.c_Polynomial_Opoly__gcd @t16 @t32 (tptp.c_Polynomial_Opoly__gcd @t16 @t128 @t80))) % 37.95/38.17 (define @t908 () (=> @t775 (= @t901 (tptp.c_Polynomial_Opoly__gcd @t16 @t77 @t859)))) % 37.95/38.17 (define @t909 () (tptp.c_Polynomial_Osmult @t16 (tptp.c_Rings_Oinverse__class_Oinverse @t16 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t69) @t873)) @t69)) % 37.95/38.17 (define @t910 () (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t32)) % 37.95/38.17 (define @t911 () (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t128)) % 37.95/38.17 (define @t912 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t911 @t910)) % 37.95/38.17 (define @t913 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t910 @t911)) % 37.95/38.17 (define @t914 () (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t59 @t19)) % 37.95/38.17 (define @t915 () (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t59)) % 37.95/38.17 (define @t916 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t910 @t911)) % 37.95/38.17 (define @t917 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t59)) % 37.95/38.17 (define @t918 () (tptp.c_Groups_Ominus__class_Ominus @t16 @t910 @t911)) % 37.95/38.17 (define @t919 () (=> @t180 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t910 @t32) @t628))) % 37.95/38.17 (define @t920 () (= @t910 (tptp.c_Rings_Oinverse__class_Odivide @t16 @t628 @t32))) % 37.95/38.17 (define @t921 () (= @t783 (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t911))) % 37.95/38.17 (define @t922 () (= @t910 @t911)) % 37.95/38.17 (define @t923 () (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t24)) % 37.95/38.17 (define @t924 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t910) @t32)) % 37.95/38.17 (define @t925 () (= @t910 @t19)) % 37.95/38.17 (define @t926 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t19) @t19)) % 37.95/38.17 (define @t927 () (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t282)) % 37.95/38.17 (define @t928 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t745) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t910))) % 37.95/38.17 (define @t929 () (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t910)) % 37.95/38.17 (define @t930 () (tptp.c_Orderings_Oord__class_Oless @t16 @t910 @t19)) % 37.95/38.17 (define @t931 () (tptp.c_Orderings_Oord__class_Oless @t16 @t911 @t910)) % 37.95/38.17 (define @t932 () (tptp.c_Orderings_Oord__class_Oless @t16 @t910 @t911)) % 37.95/38.17 (define @t933 () (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t107)) % 37.95/38.17 (define @t934 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t59 @t161)) % 37.95/38.17 (define @t935 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t24 @t46)) % 37.95/38.17 (define @t936 () (or @t791 @t935)) % 37.95/38.17 (define @t937 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t128 @t80)) % 37.95/38.17 (define @t938 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t282 @t80)) % 37.95/38.17 (define @t939 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t32 @t80)) % 37.95/38.17 (define @t940 () (tptp.class_Rings_Odvd @t16)) % 37.95/38.17 (define @t941 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t32 @t128)) % 37.95/38.17 (define @t942 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t32 @t284)) % 37.95/38.17 (define @t943 () (tptp.c_Rings_Odvd__class_Odvd @t17 @t81 @t87)) % 37.95/38.17 (define @t944 () (tptp.c_Rings_Odvd__class_Odvd @t17 @t149 @t87)) % 37.95/38.17 (define @t945 () (tptp.c_Rings_Odvd__class_Odvd @t17 @t81 @t165)) % 37.95/38.17 (define @t946 () (@list @t32 @t87 @t81 @t16)) % 37.95/38.17 (define @t947 () (tptp.c_Rings_Odvd__class_Odvd @t17 @t22 @t44)) % 37.95/38.17 (define @t948 () (not @t25)) % 37.95/38.17 (define @t949 () (@list @t44 @t22 @t24 @t16)) % 37.95/38.17 (define @t950 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t224 (tptp.c_Divides_Odiv__class_Omod @t16 @t118 @t97))) % 37.95/38.17 (define @t951 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t224 @t97)) % 37.95/38.17 (define @t952 () (tptp.c_Rings_Odvd__class_Odvd @t16 @t224 @t118)) % 37.95/38.17 (define @t953 () (@list @t97 @t118 @t224 @t16)) % 37.95/38.17 (define @t954 () (@var "V_t_2" $$unsorted)) % 37.95/38.17 (define @t955 () (@var "V_D_2" $$unsorted)) % 37.95/38.17 (define @t956 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t224 @t118)) % 37.95/38.17 (define @t957 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t224 @t97)) % 37.95/38.17 (define @t958 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t224 @t657)) % 37.95/38.17 (define @t959 () (@list @t202)) % 37.95/38.17 (define @t960 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t202 @t95)) % 37.95/38.17 (define @t961 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t411 @t410)) % 37.95/38.17 (define @t962 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t97 @t118)) % 37.95/38.17 (define @t963 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t118 @t97)) % 37.95/38.17 (define @t964 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t234) (tptp.c_Polynomial_Odegree @t16 @t234))) % 37.95/38.17 (define @t965 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t161 @t59)) % 37.95/38.17 (define @t966 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t59 @t161)) % 37.95/38.17 (define @t967 () (@list @t161 @t59)) % 37.95/38.17 (define @t968 () (and @t966 (not @t965))) % 37.95/38.17 (define @t969 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t32 @t128)) % 37.95/38.17 (define @t970 () (and @t969 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t128 @t32)))) % 37.95/38.17 (define @t971 () (@list @t128 @t32)) % 37.95/38.17 (define @t972 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t69 @t77)) % 37.95/38.17 (define @t973 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t77 @t69)) % 37.95/38.17 (define @t974 () (and @t972 (not @t973))) % 37.95/38.17 (define @t975 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t32 @t80)) % 37.95/38.17 (define @t976 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t128 @t80)) % 37.95/38.17 (define @t977 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t69 @t221)) % 37.95/38.17 (define @t978 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t77 @t221)) % 37.95/38.17 (define @t979 () (@var "T_1" $$unsorted)) % 37.95/38.17 (define @t980 () (tptp.tc_Polynomial_Opoly @t979)) % 37.95/38.17 (define @t981 () (tptp.class_Groups_Ocancel__comm__monoid__add @t979)) % 37.95/38.17 (define @t982 () (@list @t979)) % 37.95/38.17 (define @t983 () (@var "T_2" $$unsorted)) % 37.95/38.17 (define @t984 () (tptp.tc_fun @t983 @t979)) % 37.95/38.17 (define @t985 () (tptp.class_Enum_Oenum @t983)) % 37.95/38.17 (define @t986 () (@list @t979 @t983)) % 37.95/38.17 (define @t987 () (@list @t983 @t979)) % 37.95/38.17 (define @t988 () (tptp.class_HOL_Oequal @t979)) % 37.95/38.17 (define @t989 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 37.95/38.17 (define @t990 () (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 37.95/38.17 (define @t991 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 37.95/38.17 (define @t992 () (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 37.95/38.17 (define @t993 () (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 37.95/38.17 (define @t994 () (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 37.95/38.17 (define @t995 () (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 37.95/38.17 (define @t996 () (tptp.class_Rings_Oidom @t979)) % 37.95/38.17 (define @t997 () (tptp.class_Rings_Olinordered__idom @t979)) % 37.95/38.17 (define @t998 () (tptp.class_Rings_Ocomm__semiring__0 @t979)) % 37.95/38.17 (define @t999 () (tptp.class_Rings_Ocomm__semiring__1 @t979)) % 37.95/38.17 (define @t1000 () (tptp.class_Groups_Ocomm__monoid__add @t979)) % 37.95/38.17 (define @t1001 () (tptp.class_Fields_Ofield @t979)) % 37.95/38.17 (define @t1002 () (tptp.class_Groups_Oab__group__add @t979)) % 37.95/38.17 (define @t1003 () (tptp.class_Rings_Ocomm__ring__1 @t979)) % 37.95/38.17 (define @t1004 () (tptp.class_Rings_Ocomm__ring @t979)) % 37.95/38.17 (define @t1005 () (tptp.class_Groups_Ozero @t979)) % 37.95/38.17 (define @t1006 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fequal @t59) @t161))) % 37.95/38.17 (define @t1007 () (= @t9 @t36)) % 37.95/38.17 (define @t1008 () (not @t1007)) % 37.95/38.17 (define @t1009 () (= (= @t18 @t27) (and @t758 (= @t18 @t22)))) % 37.95/38.17 (define @t1010 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t7 tptp.v_ds____)) % 37.95/38.17 (define @t1011 () (= @t36 @t1010)) % 37.95/38.17 (define @t1012 () (and (= @t7 @t7) (= @t36 tptp.v_ds____))) % 37.95/38.17 (define @t1013 () (= @t1011 @t1012)) % 37.95/38.17 (define @t1014 () (not @t994)) % 37.95/38.17 (define @t1015 () (or @t1014 @t1013)) % 37.95/38.17 (define @t1016 () (forall @t30 (or (not @t20) @t1009))) % 37.95/38.17 (define @t1017 () (= @t37 @t1011)) % 37.95/38.17 (define @t1018 () (or @t1014 @t1017)) % 37.95/38.17 (define @t1019 () (@list false)) % 37.95/38.17 (define @t1020 () (@list false false)) % 37.95/38.17 (define @t1021 () (not @t37)) % 37.95/38.17 (define @t1022 () (@list true false)) % 37.95/38.17 (define @t1023 () (= @t7 @t39)) % 37.95/38.17 (define @t1024 () (= @t7 @t8)) % 37.95/38.17 (define @t1025 () (not @t1024)) % 37.95/38.17 (define @t1026 () (not @t1025)) % 37.95/38.17 (define @t1027 () (forall @t14 (or @t1024 @t1023))) % 37.95/38.17 (define @t1028 () (not @t1027)) % 37.95/38.17 (define @t1029 () (@list true)) % 37.95/38.17 (define @t1030 () (@quantifiers_skolemize @t1027 0)) % 37.95/38.17 (define @t1031 () (tptp.hAPP @t38 @t1030)) % 37.95/38.17 (define @t1032 () (= @t7 @t1031)) % 37.95/38.17 (define @t1033 () (= @t7 @t1030)) % 37.95/38.17 (define @t1034 () (or @t1033 @t1032)) % 37.95/38.17 (define @t1035 () (@list @t1034)) % 37.95/38.17 (define @t1036 () (tptp.c_Groups_Oplus__class_Oplus @t16 @t128 @t356)) % 37.95/38.17 (define @t1037 () (not (= @t355 @t1036))) % 37.95/38.17 (define @t1038 () (= @t19 @t197)) % 37.95/38.17 (define @t1039 () (not @t214)) % 37.95/38.17 (define @t1040 () (not (= @t1036 @t355))) % 37.95/38.17 (define @t1041 () (not (= @t128 @t128))) % 37.95/38.17 (define @t1042 () (or @t1039 @t1038 @t1041 @t358 @t1040)) % 37.95/38.17 (define @t1043 () (@list @t234 @t80 @t128 @t197 @t16)) % 37.95/38.17 (define @t1044 () (or @t522 @t1039 @t1038 @t522 @t358 @t357)) % 37.95/38.17 (define @t1045 () (@list @t32)) % 37.95/38.17 (define @t1046 () (or @t1039 @t1038 @t522 @t358 @t357)) % 37.95/38.17 (define @t1047 () (forall @t1045 @t1046)) % 37.95/38.17 (define @t1048 () (forall @t1043 @t1047)) % 37.95/38.17 (define @t1049 () (forall (@list @t234 @t80 @t128 @t197 @t16 @t32) @t1046)) % 37.95/38.17 (define @t1050 () (or @t1038 @t522 @t358 @t357)) % 37.95/38.17 (define @t1051 () (or @t522 @t358 @t357)) % 37.95/38.17 (define @t1052 () (not @t1038)) % 37.95/38.17 (define @t1053 () (=> @t1052 @t362)) % 37.95/38.17 (define @t1054 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t7)) % 37.95/38.17 (define @t1055 () (tptp.hAPP @t72 @t1030)) % 37.95/38.17 (define @t1056 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex @t1030 @t1031)) % 37.95/38.17 (define @t1057 () (= @t19 @t755)) % 37.95/38.17 (define @t1058 () (= @t7 @t1054)) % 37.95/38.17 (define @t1059 () (not @t993)) % 37.95/38.17 (define @t1060 () (or @t1059 @t1058)) % 37.95/38.17 (define @t1061 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t7 @t1056)) % 37.95/38.17 (define @t1062 () (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t1010) @t1030)) % 37.95/38.17 (define @t1063 () (= @t1062 @t1061)) % 37.95/38.17 (define @t1064 () (not @t992)) % 37.95/38.17 (define @t1065 () (or @t1064 @t1063)) % 37.95/38.17 (define @t1066 () (= @t7 @t11)) % 37.95/38.17 (define @t1067 () (or @t1024 @t1066)) % 37.95/38.17 (define @t1068 () (@list @t1030)) % 37.95/38.17 (define @t1069 () (= @t7 @t1062)) % 37.95/38.17 (define @t1070 () (or @t1033 @t1069)) % 37.95/38.17 (define @t1071 () (= @t19 @t759)) % 37.95/38.17 (define @t1072 () (@list @t7 tptp.tc_Complex_Ocomplex)) % 37.95/38.17 (define @t1073 () (= @t7 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t7 @t1054))) % 37.95/38.17 (define @t1074 () (or @t1059 @t1073)) % 37.95/38.17 (define @t1075 () (= @t213 @t758)) % 37.95/38.17 (define @t1076 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex @t76 (tptp.hAPP @t72 @t76))) % 37.95/38.17 (define @t1077 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_c____ @t1076)) % 37.95/38.17 (define @t1078 () (= @t7 @t1076)) % 37.95/38.17 (define @t1079 () (= @t1077 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t1077 @t1076))) % 37.95/38.17 (define @t1080 () (= @t1079 @t1078)) % 37.95/38.17 (define @t1081 () (not @t989)) % 37.95/38.17 (define @t1082 () (or @t1081 @t1080)) % 37.95/38.17 (define @t1083 () (= @t80 @t128)) % 37.95/38.17 (define @t1084 () (not @t136)) % 37.95/38.17 (define @t1085 () (not @t138)) % 37.95/38.17 (define @t1086 () (or @t1085 @t1084 @t1083)) % 37.95/38.17 (define @t1087 () (=> @t136 @t1083)) % 37.95/38.17 (define @t1088 () (tptp.hAPP @t72 @t7)) % 37.95/38.17 (define @t1089 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex @t7 @t1088)) % 37.95/38.17 (define @t1090 () (= @t1089 @t1076)) % 37.95/38.17 (define @t1091 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_c____ @t1089)) % 37.95/38.17 (define @t1092 () (not (= @t1077 @t1091))) % 37.95/38.17 (define @t1093 () (not @t990)) % 37.95/38.17 (define @t1094 () (or @t1093 @t1092 @t1090)) % 37.95/38.17 (define @t1095 () (forall @t140 @t1086)) % 37.95/38.17 (define @t1096 () (= @t1091 @t1077)) % 37.95/38.17 (define @t1097 () (not @t1096)) % 37.95/38.17 (define @t1098 () (or @t1093 @t1097 @t1090)) % 37.95/38.17 (define @t1099 () (@list @t1095)) % 37.95/38.17 (define @t1100 () (= (tptp.hAPP @t78 @t76) @t1077)) % 37.95/38.17 (define @t1101 () (or @t1064 @t1100)) % 37.95/38.17 (define @t1102 () (= @t79 @t1091)) % 37.95/38.17 (define @t1103 () (or @t1064 @t1102)) % 37.95/38.17 (define @t1104 () (@list false false false)) % 37.95/38.17 (define @t1105 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex @t1030 @t1055)) % 37.95/38.17 (define @t1106 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_c____ @t1105)) % 37.95/38.17 (define @t1107 () (= (tptp.hAPP @t78 @t1030) @t1106)) % 37.95/38.17 (define @t1108 () (or @t1064 @t1107)) % 37.95/38.17 (define @t1109 () (= @t130 @t134)) % 37.95/38.17 (define @t1110 () (= @t1106 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t1105 tptp.v_c____))) % 37.95/38.17 (define @t1111 () (not @t991)) % 37.95/38.17 (define @t1112 () (or @t1111 @t1110)) % 37.95/38.17 (define @t1113 () (= @t1106 @t1091)) % 37.95/38.17 (define @t1114 () (not @t1113)) % 37.95/38.17 (define @t1115 () (or @t1093 @t1114 (= @t1089 @t1105))) % 37.95/38.17 (define @t1116 () (= @t1105 @t1089)) % 37.95/38.17 (define @t1117 () (or @t1093 @t1114 @t1116)) % 37.95/38.17 (define @t1118 () (= @t745 @t763)) % 37.95/38.17 (define @t1119 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t7 @t7)) % 37.95/38.17 (define @t1120 () (= @t1054 @t1119)) % 37.95/38.17 (define @t1121 () (or @t1059 @t1120)) % 37.95/38.17 (define @t1122 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex @t1119 @t1088)) % 37.95/38.17 (define @t1123 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t1122 tptp.v_c____)) % 37.95/38.17 (define @t1124 () (= tptp.v_c____ @t1123)) % 37.95/38.17 (define @t1125 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t1089 tptp.v_c____)) % 37.95/38.17 (define @t1126 () (= (= @t1125 @t1125) @t1124)) % 37.95/38.17 (define @t1127 () (not @t995)) % 37.95/38.17 (define @t1128 () (or @t1127 @t1126)) % 37.95/38.17 (define @t1129 () (forall @t692 (or (not @t691) @t694))) % 37.95/38.17 (define @t1130 () (or @t1127 @t1124)) % 37.95/38.17 (define @t1131 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t1054 @t1105)) % 37.95/38.17 (define @t1132 () (= @t1031 @t1055)) % 37.95/38.17 (define @t1133 () (= @t1055 @t1031)) % 37.95/38.17 (define @t1134 () (= @t7 @t73)) % 37.95/38.17 (define @t1135 () (= @t7 @t1055)) % 37.95/38.17 (define @t1136 () (or @t1033 @t1135)) % 37.95/38.17 (define @t1137 () (= @t1131 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t1054 @t1056))) % 37.95/38.17 (define @t1138 () (not @t1137)) % 37.95/38.17 (define @t1139 () (or @t1081 @t1033 @t1132 @t1138)) % 37.95/38.17 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 37.95/38.17 (assume @p2 (= tptp.v_d____ @t7)) % 37.95/38.17 (assume @p3 @t15) % 37.95/38.17 (assume @p4 (forall @t21 (=> @t20 (= (tptp.c_Polynomial_OpCons @t16 @t19 @t18) @t18)))) % 37.95/38.17 (assume @p5 @t31) % 37.95/38.17 (assume @p6 (forall (@list @t34 @t32 @t16) (=> @t35 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t16 @t33 @t34) @t33)))) % 37.95/38.17 (assume @p7 @t42) % 37.95/38.17 (assume @p8 (not (exists (@list @t43) (and (not (= @t43 @t7)) (= tptp.v_p (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t43 @t36)))))) % 37.95/38.17 (assume @p9 (forall @t49 (=> @t20 (= (= @t27 @t48) (and @t47 @t45))))) % 37.95/38.17 (assume @p10 (forall (@list @t22 @t24 @t16 @t50 @t2 @t51) (=> @t58 (=> @t57 (= @t54 (tptp.hAPP @t53 @t52)))))) % 37.95/38.17 (assume @p11 (forall @t61 (=> @t20 (= (= @t19 @t59) @t60)))) % 37.95/38.17 (assume @p12 (forall (@list @t22 @t24 @t2 @t50 @t16 @t51) (=> @t58 (= @t54 (tptp.hAPP @t53 (tptp.c_If @t16 (tptp.hAPP (tptp.hAPP tptp.c_fequal @t22) @t56) @t50 @t52)))))) % 37.95/38.17 (assume @p13 (forall (@list @t34 @t16) (=> @t35 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t16 @t18 @t34) @t18)))) % 37.95/38.17 (assume @p14 (not @t62)) % 37.95/38.17 (assume @p15 (forall @t66 (=> @t65 (= (= @t63 (tptp.c_Polynomial_Opoly @t16 @t44)) @t45)))) % 37.95/38.17 (assume @p16 (forall @t68 (=> @t65 (= (= @t63 @t67) @t23)))) % 37.95/38.17 (assume @p17 (forall @t70 (=> @t35 (= (tptp.hAPP @t67 @t69) @t19)))) % 37.95/38.17 (assume @p18 (forall (@list @t16 @t50 @t2 @t51) (=> @t58 (=> @t57 (= (tptp.c_Polynomial_Opoly__rec @t16 @t51 @t50 @t2 @t56) @t50))))) % 37.95/38.17 (assume @p19 (forall (@list @t71 @t22 @t16) (=> @t35 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t16 @t22 @t71) @t18) @t23)))) % 37.95/38.17 (assume @p20 @t75) % 37.95/38.17 (assume @p21 (forall (@list @t24 @t22 @t16) (=> @t64 (= (= (tptp.hAPP @t63 @t24) @t19) (or @t23 (not (= (tptp.c_Polynomial_Oorder @t16 @t24 @t22) @t76))))))) % 37.95/38.17 (assume @p22 (forall (@list @t77) (= @t79 (tptp.hAPP @t78 @t77)))) % 37.95/38.17 (assume @p23 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t78)) % 37.95/38.17 (assume @p24 (forall (@list @t80 @t81 @t32 @t16) (=> @t35 (= (tptp.c_Polynomial_Osynthetic__div @t16 @t86 @t80) @t85)))) % 37.95/38.17 (assume @p25 (forall @t90 (=> @t35 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t89) @t69) (tptp.hAPP @t83 @t88))))) % 37.95/38.17 (assume @p26 (forall @t91 (=> @t20 (= (tptp.c_Polynomial_Omonom @t16 @t32 @t76) @t33)))) % 37.95/38.17 (assume @p27 (forall @t92 (=> @t35 (= (tptp.c_Polynomial_Opcompose @t16 @t18 @t87) @t18)))) % 37.95/38.17 (assume @p28 (forall (@list @t22 @t93 @t16) (=> @t20 (=> (tptp.hBOOL (tptp.hAPP @t93 @t18)) (=> (forall (@list @t43 @t94) (=> (tptp.hBOOL (tptp.hAPP @t93 @t94)) (tptp.hBOOL (tptp.hAPP @t93 (tptp.c_Polynomial_OpCons @t16 @t43 @t94))))) (tptp.hBOOL (tptp.hAPP @t93 @t22))))))) % 37.95/38.17 (assume @p29 (forall (@list @t95 @t24 @t16) (=> @t20 (= (= @t96 @t18) @t25)))) % 37.95/38.17 (assume @p30 (forall @t98 (=> @t20 (= (tptp.c_Polynomial_Omonom @t16 @t19 @t97) @t18)))) % 37.95/38.17 (assume @p31 (forall @t68 (=> @t20 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t16 @t22) @t76) @t23)))) % 37.95/38.17 (assume @p32 (forall (@list @t46 @t95 @t24 @t16) (=> @t20 (= (= @t96 (tptp.c_Polynomial_Omonom @t16 @t46 @t95)) @t47)))) % 37.95/38.17 (assume @p33 (forall (@list @t2 @t51 @t16) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t16 @t51 @t2) (forall (@list @t3 @t99) (= @t5 (tptp.hAPP @t2 @t99)))))) % 37.95/38.17 (assume @p34 (forall (@list @t80 @t16) (=> @t35 (= (tptp.c_Polynomial_Osynthetic__div @t16 @t18 @t80) @t18)))) % 37.95/38.17 (assume @p35 (=> @t62 (exists @t101 (= (tptp.hAPP @t78 @t100) @t7)))) % 37.95/38.17 (assume @p36 (forall (@list @t22) (=> (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t102)) (exists @t101 (= (tptp.hAPP @t102 @t100) @t7))))) % 37.95/38.17 (assume @p37 (forall @t105 (=> @t20 (= (tptp.c_Polynomial_Omonom @t16 @t32 @t104) (tptp.c_Polynomial_OpCons @t16 @t19 @t103))))) % 37.95/38.17 (assume @p38 (forall @t108 (=> @t35 (= (= (tptp.c_Polynomial_Osynthetic__div @t16 @t22 @t107) @t18) (= @t106 @t76))))) % 37.95/38.17 (assume @p39 (forall @t91 (=> @t20 (= (tptp.c_Polynomial_Odegree @t16 @t33) @t76)))) % 37.95/38.17 (assume @p40 (forall (@list @t44 @t46 @t16) (=> @t113 (= (tptp.hBOOL (tptp.hAPP @t110 @t48)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 @t19) @t46)) (tptp.hBOOL (tptp.hAPP @t110 @t44))))))) % 37.95/38.17 (assume @p41 (forall @t30 (=> @t113 (= (tptp.hBOOL (tptp.hAPP @t116 @t18)) (and (tptp.hBOOL (tptp.hAPP @t115 @t19)) (tptp.hBOOL (tptp.hAPP @t114 @t18))))))) % 37.95/38.17 (assume @p42 (forall (@list @t69 @t34 @t81 @t16) (=> @t35 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t117) @t69) (tptp.hAPP @t83 (tptp.c_Groups_Oplus__class_Oplus @t16 @t34 @t69)))))) % 37.95/38.17 (assume @p43 (forall (@list @t32 @t97 @t118 @t16) (=> @t20 (and (=> @t121 (= @t120 @t32)) (=> @t122 (= @t120 @t19)))))) % 37.95/38.17 (assume @p44 (forall @t125 (=> @t35 (=> (= @t124 @t86) @t123)))) % 37.95/38.17 (assume @p45 (forall @t127 (=> @t20 (= (tptp.hAPP @t126 @t76) @t32)))) % 37.95/38.17 (assume @p46 (forall @t133 (=> @t132 (=> (= @t131 @t130) @t129)))) % 37.95/38.17 (assume @p47 @t141) % 37.95/38.17 (assume @p48 (forall @t140 (=> @t132 @t137))) % 37.95/38.17 (assume @p49 (forall (@list @t107 @t24 @t46 @t16) (=> @t132 (= (= @t144 @t143) @t142)))) % 37.95/38.17 (assume @p50 (forall @t147 (=> @t132 (= (= @t146 @t145) @t142)))) % 37.95/38.17 (assume @p51 (forall @t150 (=> @t35 (= (tptp.c_Polynomial_Osmult @t16 @t135 @t81) (tptp.c_Groups_Oplus__class_Oplus @t17 @t149 @t148))))) % 37.95/38.17 (assume @p52 (forall @t157 (=> @t156 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t155) @t97) (tptp.c_Groups_Oplus__class_Oplus @t16 @t154 @t152))))) % 37.95/38.17 (assume @p53 (forall @t140 (=> (tptp.class_Groups_Oab__semigroup__add @t16) @t160))) % 37.95/38.17 (assume @p54 (forall @t164 (=> @t20 (= (= @t163 (tptp.c_Polynomial_Ocoeff @t16 @t161)) @t162)))) % 37.95/38.17 (assume @p55 (forall @t166 (=> @t35 (= (tptp.c_Polynomial_Osmult @t16 @t32 @t155) (tptp.c_Groups_Oplus__class_Oplus @t17 @t149 @t165))))) % 37.95/38.17 (assume @p56 (forall @t66 (=> @t113 (= @t167 @t45)))) % 37.95/38.17 (assume @p57 (forall @t66 (=> @t20 (= @t45 (forall @t170 (= (tptp.hAPP @t169 @t168) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t44) @t168))))))) % 37.95/38.17 (assume @p58 (forall @t172 (=> @t156 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t86 @t171) (tptp.c_Polynomial_OpCons @t16 @t135 @t155))))) % 37.95/38.17 (assume @p59 (forall @t173 (=> @t20 (= (tptp.hAPP @t126 @t104) @t154)))) % 37.95/38.17 (assume @p60 (forall @t90 (=> @t35 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t155) @t69) (tptp.c_Groups_Oplus__class_Oplus @t16 @t174 @t88))))) % 37.95/38.17 (assume @p61 (forall @t176 (=> @t156 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t103 @t175) (tptp.c_Polynomial_Omonom @t16 @t135 @t97))))) % 37.95/38.17 (assume @p62 (forall @t127 (=> @t64 (and (=> @t179 (= @t178 @t76)) (=> @t180 (= @t178 @t177)))))) % 37.95/38.17 (assume @p63 (forall @t183 (=> @t20 (=> @t182 (not (= @t181 @t19)))))) % 37.95/38.17 (assume @p64 (forall @t68 (=> @t20 (= (= @t184 @t19) @t23)))) % 37.95/38.17 (assume @p65 (forall @t188 (=> @t20 @t187))) % 37.95/38.17 (assume @p66 (forall @t49 (=> @t113 (= (tptp.hBOOL (tptp.hAPP @t116 @t48)) (and (tptp.hBOOL (tptp.hAPP @t115 @t46)) @t167))))) % 37.95/38.17 (assume @p67 (forall @t125 (=> @t35 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t124 @t86) @t18) @t123)))) % 37.95/38.17 (assume @p68 (forall @t91 (=> @t156 @t189))) % 37.95/38.17 (assume @p69 (forall @t91 (=> @t190 @t189))) % 37.95/38.17 (assume @p70 (forall @t193 (=> @t192 (= (= @t19 @t191) @t25)))) % 37.95/38.17 (assume @p71 (forall @t91 (=> @t156 @t194))) % 37.95/38.17 (assume @p72 (forall @t91 (=> @t190 @t194))) % 37.95/38.17 (assume @p73 (forall (@list @t34 @t81 @t32 @t16) (=> @t35 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t16 @t86 @t34) (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.c_Polynomial_Osmult @t16 @t34 @t117) (tptp.c_Polynomial_OpCons @t16 @t32 @t117)))))) % 37.95/38.17 (assume @p74 (forall @t183 (=> @t156 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t81 @t18) @t81)))) % 37.95/38.17 (assume @p75 (forall @t92 (=> @t156 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t18 @t87) @t87)))) % 37.95/38.17 (assume @p76 (forall @t91 (=> @t35 (= (tptp.c_Polynomial_Osmult @t16 @t32 @t18) @t18)))) % 37.95/38.17 (assume @p77 (forall (@list @t34 @t81 @t16) (=> @t35 (= (tptp.c_Polynomial_Odegree @t16 @t117) @t177)))) % 37.95/38.17 (assume @p78 (forall @t188 (=> @t20 (and (=> @t123 (= @t186 @t76)) @t187)))) % 37.95/38.17 (assume @p79 (forall @t183 (=> @t20 (and (=> @t123 (= @t195 @t76)) (=> @t182 (= @t195 @t185)))))) % 37.95/38.17 (assume @p80 (forall @t196 (=> @t35 (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t81 (tptp.c_Polynomial_Osmult @t16 @t80 @t82)) @t85)))) % 37.95/38.17 (assume @p81 (forall (@list @t197 @t87 @t80 @t81 @t16) (=> @t35 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t17 @t81 (tptp.c_Polynomial_Osmult @t16 @t80 @t87)) (tptp.c_Polynomial_OpCons @t16 @t197 @t87)) (and (= @t197 @t84) (= @t87 @t82)))))) % 37.95/38.17 (assume @p82 (forall @t21 (=> @t113 (tptp.hBOOL (tptp.hAPP @t110 @t18))))) % 37.95/38.17 (assume @p83 (forall @t21 (=> @t20 (= (tptp.c_Polynomial_Odegree @t16 @t18) @t76)))) % 37.95/38.17 (assume @p84 (forall @t105 (=> @t20 (=> @t180 (= @t198 @t97))))) % 37.95/38.17 (assume @p85 (forall @t30 (=> @t64 (= (= @t199 @t18) (or @t25 @t23))))) % 37.95/38.17 (assume @p86 (forall @t183 (=> @t35 (= (tptp.c_Polynomial_Osmult @t16 @t19 @t81) @t18)))) % 37.95/38.17 (assume @p87 (forall @t98 (=> @t20 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t18) @t97) @t19)))) % 37.95/38.17 (assume @p88 (forall @t208 (= (= @t200 @t207) @t206))) % 37.95/38.17 (assume @p89 (forall @t208 (= (= @t207 @t200) @t206))) % 37.95/38.17 (assume @p90 (forall @t210 (not (= @t209 @t76)))) % 37.95/38.17 (assume @p91 (forall @t210 (not (= @t76 @t209)))) % 37.95/38.17 (assume @p92 (forall (@list @t211) (not (= (tptp.c_Nat_OSuc @t211) @t76)))) % 37.95/38.17 (assume @p93 (forall (@list @t212) (not (= @t76 (tptp.c_Nat_OSuc @t212))))) % 37.95/38.17 (assume @p94 (forall @t193 (=> @t192 (= (= @t191 @t19) @t25)))) % 37.95/38.17 (assume @p95 @t217) % 37.95/38.17 (assume @p96 (forall @t220 (= @t219 @t218))) % 37.95/38.17 (assume @p97 (forall @t223 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t69 @t222) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t77 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t69 @t221))))) % 37.95/38.17 (assume @p98 (forall @t226 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t219 @t224) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t225)))) % 37.95/38.17 (assume @p99 (forall @t231 (= (= @t230 @t229) @t227))) % 37.95/38.17 (assume @p100 (forall @t233 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t202 @t228) @t232) @t227))) % 37.95/38.17 (assume @p101 (forall @t238 (=> @t237 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t135 @t236) (tptp.c_Groups_Oplus__class_Oplus @t16 @t134 @t235))))) % 37.95/38.17 (assume @p102 (forall @t140 (=> @t237 (= @t159 (tptp.c_Groups_Oplus__class_Oplus @t16 @t134 @t128))))) % 37.95/38.17 (assume @p103 (forall @t140 (=> @t237 @t160))) % 37.95/38.17 (assume @p104 (forall @t240 (=> @t237 (= @t239 (tptp.c_Groups_Oplus__class_Oplus @t16 @t134 @t234))))) % 37.95/38.17 (assume @p105 (forall @t240 (=> @t237 (= @t239 (tptp.c_Groups_Oplus__class_Oplus @t16 @t80 (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t234)))))) % 37.95/38.17 (assume @p106 @t243) % 37.95/38.17 (assume @p107 (forall @t244 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t76 @t97) @t97))) % 37.95/38.17 (assume @p108 (forall @t210 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t76) @t118))) % 37.95/38.17 (assume @p109 (forall @t208 (= (= @t207 @t76) (and @t203 @t204)))) % 37.95/38.17 (assume @p110 (forall @t220 (=> (= @t219 @t118) @t245))) % 37.95/38.17 (assume @p111 (forall @t247 (=> (= (tptp.c_Nat_OSuc @t69) (tptp.c_Nat_OSuc @t77)) @t246))) % 37.95/38.17 (assume @p112 (forall (@list @t248 @t249) (= (= @t250 (tptp.c_Nat_OSuc @t248)) (= @t249 @t248)))) % 37.95/38.17 (assume @p113 (forall @t220 (= @t252 @t251))) % 37.95/38.17 (assume @p114 (forall @t220 (= @t252 @t253))) % 37.95/38.17 (assume @p115 (forall @t220 (= @t251 @t253))) % 37.95/38.17 (assume @p116 (forall @t244 (not (= @t104 @t97)))) % 37.95/38.17 (assume @p117 (forall @t244 (not (= @t97 @t104)))) % 37.95/38.17 (assume @p118 (forall @t91 (=> @t237 @t194))) % 37.95/38.17 (assume @p119 (forall @t91 (=> @t237 @t189))) % 37.95/38.17 (assume @p120 (forall @t166 (=> @t35 (= (tptp.c_Polynomial_Opcompose @t16 @t86 @t87) (tptp.c_Groups_Oplus__class_Oplus @t17 @t33 (tptp.c_Groups_Otimes__class_Otimes @t17 @t87 @t89)))))) % 37.95/38.17 (assume @p121 (forall @t256 (= (tptp.c_Nat_Onat_Onat__size @t255) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Onat_Onat__size @t254) @t200)))) % 37.95/38.17 (assume @p122 (forall @t259 (=> @t35 (= (tptp.c_Groups_Otimes__class_Otimes @t17 @t81 (tptp.c_Polynomial_OpCons @t16 @t32 @t87)) (tptp.c_Groups_Oplus__class_Oplus @t17 @t149 @t258))))) % 37.95/38.17 (assume @p123 (forall @t166 (=> @t35 (= (tptp.c_Groups_Otimes__class_Otimes @t17 @t86 @t87) (tptp.c_Groups_Oplus__class_Oplus @t17 @t165 @t258))))) % 37.95/38.17 (assume @p124 (forall @t30 (=> @t20 (= (tptp.c_Polynomial_Ocoeff @t16 @t27) @t260)))) % 37.95/38.17 (assume @p125 (forall @t256 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t255) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t254) @t200)))) % 37.95/38.17 (assume @p126 (forall @t188 (=> @t64 (=> @t182 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t261 @t177))))) % 37.95/38.17 (assume @p127 (forall @t21 (=> @t112 (= tptp.c_fequal @t111)))) % 37.95/38.17 (assume @p128 (forall @t164 (=> @t112 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 @t59) @t161)) @t162)))) % 37.95/38.17 (assume @p129 (forall @t70 (=> @t112 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t111 @t69) @t69))))) % 37.95/38.17 (assume @p130 (forall @t244 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t76 @t97))) % 37.95/38.17 (assume @p131 (forall @t220 (=> @t263 (=> @t262 @t121)))) % 37.95/38.17 (assume @p132 (forall @t267 (=> @t266 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t265 @t224) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t264 @t224))))) % 37.95/38.17 (assume @p133 (forall @t220 (=> @t121 @t263))) % 37.95/38.17 (assume @p134 (forall @t276 (=> @t237 (= @t275 (tptp.c_Groups_Otimes__class_Otimes @t16 @t272 (tptp.c_Groups_Otimes__class_Otimes @t16 @t269 @t268)))))) % 37.95/38.17 (assume @p135 (forall @t276 (=> @t237 (= @t275 (tptp.c_Groups_Otimes__class_Otimes @t16 @t270 (tptp.c_Groups_Otimes__class_Otimes @t16 @t274 @t268)))))) % 37.95/38.17 (assume @p136 (forall @t276 (=> @t237 (= @t275 (tptp.c_Groups_Otimes__class_Otimes @t16 @t271 (tptp.c_Groups_Otimes__class_Otimes @t16 @t269 @t273)))))) % 37.95/38.17 (assume @p137 (forall @t278 (=> @t237 (= @t277 (tptp.c_Groups_Otimes__class_Otimes @t16 @t272 @t269))))) % 37.95/38.17 (assume @p138 (forall @t278 (=> @t237 (= @t277 (tptp.c_Groups_Otimes__class_Otimes @t16 @t271 (tptp.c_Groups_Otimes__class_Otimes @t16 @t269 @t270)))))) % 37.95/38.17 (assume @p139 (forall @t280 (=> @t237 (= @t279 (tptp.c_Groups_Otimes__class_Otimes @t16 @t272 @t268))))) % 37.95/38.17 (assume @p140 (forall @t280 (=> @t237 (= @t279 (tptp.c_Groups_Otimes__class_Otimes @t16 @t270 (tptp.c_Groups_Otimes__class_Otimes @t16 @t271 @t268)))))) % 37.95/38.17 (assume @p141 (forall @t220 (or @t263 @t262))) % 37.95/38.17 (assume @p142 (forall @t283 (=> @t237 (= @t282 @t281)))) % 37.95/38.17 (assume @p143 (forall @t244 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t97))) % 37.95/38.17 (assume @p144 (forall @t244 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t97) @t97))) % 37.95/38.17 (assume @p145 (forall @t140 (=> (tptp.class_Groups_Oab__semigroup__mult @t16) (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t282 @t80) (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t284))))) % 37.95/38.17 (assume @p146 (forall @t90 (=> @t35 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t257) @t69) (tptp.c_Groups_Otimes__class_Otimes @t16 @t174 @t88))))) % 37.95/38.17 (assume @p147 (forall @t288 (=> @t287 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t286)))) % 37.95/38.17 (assume @p148 (forall @t164 (=> @t293 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t292 @t19) @t290)))) % 37.95/38.17 (assume @p149 (forall @t297 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t296 @t295)))) % 37.95/38.17 (assume @p150 (forall (@list @t97 @t128 @t118 @t32 @t16) (=> @t35 (= (tptp.c_Groups_Otimes__class_Otimes @t17 @t119 @t175) (tptp.c_Polynomial_Omonom @t16 @t282 @t219))))) % 37.95/38.17 (assume @p151 (forall @t91 (=> @t237 @t298))) % 37.95/38.17 (assume @p152 (forall @t91 (=> @t237 @t299))) % 37.95/38.17 (assume @p153 (forall @t302 (=> @t237 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t69 (tptp.c_Groups_Oplus__class_Oplus @t16 @t77 @t221)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t301 @t300))))) % 37.95/38.17 (assume @p154 (forall @t307 (=> @t214 (= (and (not @t47) (not @t306)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t305 (tptp.c_Groups_Otimes__class_Otimes @t16 @t46 @t304)) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t24 @t304) @t303))))))) % 37.95/38.17 (assume @p155 (forall @t140 (=> @t237 @t309))) % 37.95/38.17 (assume @p156 (forall (@list @t128 @t118 @t32 @t16) (=> @t237 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t310 (tptp.c_Groups_Otimes__class_Otimes @t16 @t128 @t118)) (tptp.c_Groups_Otimes__class_Otimes @t16 @t135 @t118))))) % 37.95/38.17 (assume @p157 (forall (@list @t50 @t59 @t161 @t311 @t16) (=> @t214 (= (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t313 @t312) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t311 @t50) (tptp.c_Groups_Otimes__class_Otimes @t16 @t59 @t161))) (or (= @t311 @t59) (= @t161 @t50)))))) % 37.95/38.17 (assume @p158 (forall @t318 (=> @t317 (=> @t316 @t314)))) % 37.95/38.17 (assume @p159 (forall @t320 (=> @t317 (=> @t319 @t314)))) % 37.95/38.17 (assume @p160 (forall @t238 (=> @t322 (=> @t314 (=> @t321 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t134 @t235)))))) % 37.95/38.17 (assume @p161 (forall @t140 (=> @t322 (=> @t314 @t316)))) % 37.95/38.17 (assume @p162 (forall @t140 (=> @t322 (=> @t314 @t319)))) % 37.95/38.17 (assume @p163 (forall @t325 (=> @t317 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t143 @t324) @t323)))) % 37.95/38.17 (assume @p164 (forall @t327 (=> @t317 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t145 @t326) @t323)))) % 37.95/38.17 (assume @p165 (forall @t328 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t95 @t76) @t204))) % 37.95/38.17 (assume @p166 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t76) @t76)) % 37.95/38.17 (assume @p167 (forall @t244 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t104 @t97)))) % 37.95/38.17 (assume @p168 (forall @t208 (= (not @t331) @t330))) % 37.95/38.17 (assume @p169 (forall @t208 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t202 @t329) (or @t331 (= @t202 @t329))))) % 37.95/38.17 (assume @p170 (forall @t333 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t329 @t332) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t95 @t202)))) % 37.95/38.17 (assume @p171 (forall @t220 (=> @t263 @t334))) % 37.95/38.17 (assume @p172 (forall @t220 (=> @t334 (=> (not @t263) (= @t118 @t104))))) % 37.95/38.17 (assume @p173 (forall @t220 (=> @t335 @t263))) % 37.95/38.17 (assume @p174 (forall @t339 (=> @t338 (not (=> @t263 (not @t336)))))) % 37.95/38.17 (assume @p175 (forall @t339 (=> @t338 @t263))) % 37.95/38.17 (assume @p176 (forall @t339 (=> @t338 @t336))) % 37.95/38.17 (assume @p177 (forall @t344 (=> @t266 (=> @t343 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t342 @t341))))) % 37.95/38.17 (assume @p178 (forall @t267 (=> @t266 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t342 @t345)))) % 37.95/38.17 (assume @p179 (forall @t347 (=> @t266 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t264 @t346)))) % 37.95/38.17 (assume @p180 (forall @t347 (=> @t266 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t264 @t348)))) % 37.95/38.17 (assume @p181 (forall @t231 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t230 @t229) @t331))) % 37.95/38.17 (assume @p182 (forall @t208 (= @t331 (exists @t351 (= @t95 @t350))))) % 37.95/38.17 (assume @p183 (forall @t352 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t218))) % 37.95/38.17 (assume @p184 (forall @t352 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t219))) % 37.95/38.17 (assume @p185 (forall @t183 (=> @t35 (= (tptp.c_Groups_Otimes__class_Otimes @t17 @t81 @t18) @t18)))) % 37.95/38.17 (assume @p186 (forall @t92 (=> @t35 (= (tptp.c_Groups_Otimes__class_Otimes @t17 @t18 @t87) @t18)))) % 37.95/38.17 (assume @p187 (forall @t150 (=> @t35 (= (tptp.c_Polynomial_Osmult @t16 @t32 @t148) (tptp.c_Polynomial_Osmult @t16 @t282 @t81))))) % 37.95/38.17 (assume @p188 (forall @t166 (=> @t35 (= (tptp.c_Groups_Otimes__class_Otimes @t17 @t149 @t87) @t353)))) % 37.95/38.17 (assume @p189 (forall @t259 (=> @t35 (= (tptp.c_Groups_Otimes__class_Otimes @t17 @t81 @t165) @t353)))) % 37.95/38.17 (assume @p190 (forall (@list @t197 @t87 @t81 @t16) (=> @t35 (= (tptp.c_Groups_Otimes__class_Otimes @t17 @t155 @t197) (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.c_Groups_Otimes__class_Otimes @t17 @t81 @t197) (tptp.c_Groups_Otimes__class_Otimes @t17 @t87 @t197)))))) % 37.95/38.17 (assume @p191 (= (tptp.c_Nat_Onat_Onat__size @t76) @t76)) % 37.95/38.17 (assume @p192 (forall @t297 (=> @t35 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t257) @t295) (tptp.c_Groups_Otimes__class_Otimes @t16 @t181 @t354))))) % 37.95/38.17 (assume @p193 (forall @t164 (=> @t293 (= (= @t292 @t19) @t290)))) % 37.95/38.17 (assume @p194 @t367) % 37.95/38.17 (assume @p195 (forall @t193 (=> @t192 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t191) @t368)))) % 37.95/38.17 (assume @p196 (forall @t193 (=> @t192 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t191 @t19) @t369)))) % 37.95/38.17 (assume @p197 (forall @t283 (=> @t372 (=> @t371 (=> @t370 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t135)))))) % 37.95/38.17 (assume @p198 (forall @t164 (=> @t372 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t59) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t161) (= @t373 @t290)))))) % 37.95/38.17 (assume @p199 (forall @t140 (=> @t372 (=> @t371 (=> @t375 @t374))))) % 37.95/38.17 (assume @p200 (forall @t378 (=> @t372 (=> @t377 (=> @t376 @t374))))) % 37.95/38.17 (assume @p201 (forall @t283 (=> @t372 (=> @t380 (=> @t379 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t135 @t19)))))) % 37.95/38.17 (assume @p202 (forall (@list @t382 @t381 @t16) (= (tptp.hAPP @t383 @t76) @t381))) % 37.95/38.17 (assume @p203 (forall (@list @t249 @t382 @t381 @t16) (= (tptp.hAPP @t383 @t250) (tptp.hAPP @t382 @t249)))) % 37.95/38.17 (assume @p204 (forall @t150 (=> @t35 (= (tptp.c_Polynomial_Osmult @t16 @t32 (tptp.c_Polynomial_OpCons @t16 @t128 @t81)) (tptp.c_Polynomial_OpCons @t16 @t282 @t149))))) % 37.95/38.17 (assume @p205 (forall @t384 (=> @t35 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t149) @t69) (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t174))))) % 37.95/38.17 (assume @p206 (forall @t173 (=> @t35 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t149) @t97) (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t154))))) % 37.95/38.17 (assume @p207 (forall @t127 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t178 @t177)))) % 37.95/38.17 (assume @p208 (forall @t388 (=> @t156 (=> @t387 (=> @t386 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t385 @t97)))))) % 37.95/38.17 (assume @p209 (forall (@list @t97 @t128 @t32 @t16) (=> @t35 (= (tptp.c_Polynomial_Osmult @t16 @t32 @t175) (tptp.c_Polynomial_Omonom @t16 @t282 @t97))))) % 37.95/38.17 (assume @p210 (forall @t105 (=> @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t198 @t97)))) % 37.95/38.17 (assume @p211 (forall @t297 (=> @t64 (=> @t182 (=> @t389 (= @t296 @t295)))))) % 37.95/38.17 (assume @p212 @t391) % 37.95/38.17 (assume @p213 (forall @t393 (=> @t20 (=> (not @t392) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t177))))) % 37.95/38.17 (assume @p214 (forall @t127 (=> @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t186 @t185)))) % 37.95/38.17 (assume @p215 (forall @t21 (=> @t112 (= @t111 tptp.c_fequal)))) % 37.95/38.17 (assume @p216 (forall @t91 (=> @t287 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t394)))) % 37.95/38.17 (assume @p217 (forall @t399 (=> @t293 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t398) @t397)))) % 37.95/38.17 (assume @p218 (forall @t399 (=> @t293 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t398 @t19) @t400)))) % 37.95/38.17 (assume @p219 (forall @t283 (=> @t402 (=> @t371 (=> @t370 @t401))))) % 37.95/38.17 (assume @p220 (forall @t283 (=> @t402 (=> @t371 (=> @t379 @t403))))) % 37.95/38.17 (assume @p221 (forall @t283 (=> @t402 (=> @t371 (=> @t379 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t281 @t19)))))) % 37.95/38.17 (assume @p222 (forall @t283 (=> @t402 (=> @t380 (=> @t370 @t403))))) % 37.95/38.17 (assume @p223 (forall @t283 (=> @t404 (=> @t380 (=> @t379 @t401))))) % 37.95/38.17 (assume @p224 (forall @t140 (=> @t406 (=> @t314 (=> @t377 @t405))))) % 37.95/38.17 (assume @p225 (forall @t244 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t76 @t97) @t76))) % 37.95/38.17 (assume @p226 (forall @t210 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t118 @t76) @t76))) % 37.95/38.17 (assume @p227 (forall @t208 (= (= @t407 @t76) (or @t203 @t204)))) % 37.95/38.17 (assume @p228 (forall @t231 (= @t412 @t409))) % 37.95/38.17 (assume @p229 (forall @t233 (= (= @t414 @t413) @t409))) % 37.95/38.17 (assume @p230 (forall @t231 (= (= @t417 @t416) @t227))) % 37.95/38.17 (assume @p231 (forall @t420 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t224 @t219) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t419 @t418)))) % 37.95/38.17 (assume @p232 (forall @t226 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t219 @t224) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t422 @t421)))) % 37.95/38.17 (assume @p233 (forall @t210 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t423))) % 37.95/38.17 (assume @p234 (forall @t210 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t118 @t423)))) % 37.95/38.17 (assume @p235 (forall @t267 (=> @t266 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t425 @t424)))) % 37.95/38.17 (assume @p236 (forall @t267 (=> @t266 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t427 @t426)))) % 37.95/38.17 (assume @p237 (forall @t344 (=> @t266 (=> @t343 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t425 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t265 @t340)))))) % 37.95/38.17 (assume @p238 (forall @t208 (= (= @t407 @t200) (and @t205 @t201)))) % 37.95/38.17 (assume @p239 (forall @t220 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t209 @t97) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t97 @t428)))) % 37.95/38.17 (assume @p240 (forall @t220 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t118 @t104) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t428)))) % 37.95/38.17 (assume @p241 (forall @t231 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t417 @t416) @t331))) % 37.95/38.17 (assume @p242 (forall @t208 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t200 @t407) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t200 @t202) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t200 @t95))))) % 37.95/38.17 (assume @p243 (forall @t297 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t16 @t89) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t177 @t294))))) % 37.95/38.17 (assume @p244 (forall @t91 (=> @t429 @t299))) % 37.95/38.17 (assume @p245 (forall @t91 (=> @t429 @t298))) % 37.95/38.17 (assume @p246 (forall @t399 (=> (tptp.class_Rings_Oring__no__zero__divisors @t16) (= (= @t398 @t19) (or @t25 @t430))))) % 37.95/38.17 (assume @p247 (forall @t283 (=> @t434 (=> @t180 (=> @t433 (not @t431)))))) % 37.95/38.17 (assume @p248 (forall @t283 (=> @t434 (=> @t431 (or @t179 @t432))))) % 37.95/38.17 (assume @p249 (forall (@list @t80 @t128 @t435 @t32 @t16) (=> (tptp.class_Rings_Osemiring @t16) (= (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t435) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t128 @t435) @t80)) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t135 @t435) @t80))))) % 37.95/38.17 (assume @p250 (forall @t140 (=> (tptp.class_Rings_Ocomm__semiring @t16) @t309))) % 37.95/38.17 (assume @p251 (forall @t283 (=> @t402 (=> (or (and @t371 @t379) (and @t380 @t370)) @t403)))) % 37.95/38.17 (assume @p252 (forall @t283 (=> @t404 (=> (or (and @t371 @t370) (and @t380 @t379)) @t401)))) % 37.95/38.17 (assume @p253 (forall @t238 (=> @t406 (=> @t314 (=> @t321 (=> @t370 @t437)))))) % 37.95/38.17 (assume @p254 (forall @t238 (=> @t406 (=> @t314 (=> @t321 (=> @t371 @t437)))))) % 37.95/38.17 (assume @p255 (forall @t133 (=> @t404 (=> @t376 (=> @t441 @t440))))) % 37.95/38.17 (assume @p256 (forall @t133 (=> @t404 (=> @t376 (=> @t441 @t405))))) % 37.95/38.17 (assume @p257 (forall @t140 (=> (tptp.class_Rings_Oordered__comm__semiring @t16) @t442))) % 37.95/38.17 (assume @p258 (forall @t140 (=> @t406 @t442))) % 37.95/38.17 (assume @p259 (forall @t70 (=> @t443 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t69 @t69)))) % 37.95/38.17 (assume @p260 (forall (@list @t444 @t228) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t228 @t444) (exists @t170 (= @t444 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t228 @t168)))))) % 37.95/38.17 (assume @p261 (forall @t223 (=> @t446 @t445))) % 37.95/38.17 (assume @p262 (forall @t447 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t69 @t221) @t445))) % 37.95/38.17 (assume @p263 (forall @t453 (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t451 @t448) (tptp.c_Groups_Oplus__class_Oplus @t16 @t450 @t449))))) % 37.95/38.17 (assume @p264 (forall @t456 (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t454) @t128) (tptp.c_Groups_Oplus__class_Oplus @t16 @t282 @t455))))) % 37.95/38.17 (assume @p265 (forall @t460 (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t457 @t451) (tptp.c_Groups_Oplus__class_Oplus @t16 @t459 @t458))))) % 37.95/38.17 (assume @p266 (forall @t226 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t428 @t224) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t118 @t421)))) % 37.95/38.17 (assume @p267 (forall @t220 (= @t428 @t461))) % 37.95/38.17 (assume @p268 (forall @t465 (=> @t464 (= @t463 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t51 @t5 @t4)))))) % 37.95/38.17 (assume @p269 (forall @t288 (=> @t468 (or @t467 @t466)))) % 37.95/38.17 (assume @p270 (forall @t164 (=> @t471 (= @t162 (and @t470 @t469))))) % 37.95/38.17 (assume @p271 (forall @t288 (=> @t443 (=> @t246 @t467)))) % 37.95/38.17 (assume @p272 (forall (@list @t59 @t1 @t2 @t16 @t51) (=> @t464 (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq @t51 (tptp.hAPP @t2 @t59) (tptp.hAPP @t1 @t59)))))) % 37.95/38.17 (assume @p273 (forall @t473 (=> @t471 (=> @t469 @t472)))) % 37.95/38.17 (assume @p274 (forall @t140 (=> @t475 (=> @t360 (=> @t375 @t474))))) % 37.95/38.17 (assume @p275 (forall @t140 (=> @t471 (=> @t360 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t80 @t128) @t476))))) % 37.95/38.17 (assume @p276 (forall @t140 (=> @t475 (=> @t314 (=> @t129 @t474))))) % 37.95/38.17 (assume @p277 (forall @t133 (=> @t471 (=> @t376 (=> @t129 @t476))))) % 37.95/38.17 (assume @p278 (forall @t288 (=> @t471 (=> @t467 (=> @t466 @t246))))) % 37.95/38.17 (assume @p279 (forall @t302 (=> @t443 (=> @t467 (=> @t477 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t69 @t221)))))) % 37.95/38.17 (assume @p280 (forall @t478 (=> @t471 (=> @t466 (=> @t467 @t246))))) % 37.95/38.17 (assume @p281 (forall @t480 (=> @t471 (=> @t466 (=> @t479 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t221 @t69)))))) % 37.95/38.17 (assume @p282 (forall @t288 (=> @t468 (=> (not @t467) @t466)))) % 37.95/38.17 (assume @p283 (forall @t70 (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t69 @t19) @t19)))) % 37.95/38.17 (assume @p284 (forall @t91 (=> @t452 @t298))) % 37.95/38.17 (assume @p285 (forall @t481 (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t19 @t77) @t19)))) % 37.95/38.17 (assume @p286 (forall (@list @t128 @t16) (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t19 @t128) @t19)))) % 37.95/38.17 (assume @p287 (forall @t484 (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 (tptp.c_Groups_Oplus__class_Oplus @t16 @t128 @t482)) (tptp.c_Groups_Oplus__class_Oplus @t16 @t282 @t483))))) % 37.95/38.17 (assume @p288 (forall (@list @t224 @t265 @t485 @t264) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t488 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t487 @t224)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t486 @t485) @t224)))) % 37.95/38.17 (assume @p289 (forall @t231 (= @t412 (or @t408 @t227)))) % 37.95/38.17 (assume @p290 (forall @t393 (=> @t20 (=> @t387 (=> @t392 (or @t123 @t489)))))) % 37.95/38.17 (assume @p291 (forall @t30 (=> @t20 (= @t27 (tptp.c_Polynomial_OAbs__poly @t16 @t260))))) % 37.95/38.17 (assume @p292 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t76)) % 37.95/38.17 (assume @p293 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t76)) % 37.95/38.17 (assume @p294 (forall @t244 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t76)))) % 37.95/38.17 (assume @p295 (forall @t220 (=> @t491 @t490))) % 37.95/38.17 (assume @p296 (forall @t244 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t104))) % 37.95/38.17 (assume @p297 (forall @t244 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t104))) % 37.95/38.17 (assume @p298 (forall @t70 (=> @t443 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t69 @t69))))) % 37.95/38.17 (assume @p299 (forall @t164 (=> @t468 (= @t494 (or @t493 @t492))))) % 37.95/38.17 (assume @p300 (forall @t164 (=> @t468 (= @t495 (or @t492 @t162))))) % 37.95/38.17 (assume @p301 (forall @t288 (=> @t468 (or @t497 @t246 @t496)))) % 37.95/38.17 (assume @p302 (forall @t473 (=> @t468 (=> (not @t492) @t498)))) % 37.95/38.17 (assume @p303 (forall @t288 (=> @t468 @t501))) % 37.95/38.17 (assume @p304 (forall @t288 (=> @t471 (=> @t497 @t500)))) % 37.95/38.17 (assume @p305 (forall @t288 (=> @t443 (=> @t497 (not @t496))))) % 37.95/38.17 (assume @p306 (forall @t288 (=> @t471 (=> @t497 (not (= @t77 @t69)))))) % 37.95/38.17 (assume @p307 (forall @t283 (=> @t443 (=> @t503 (not @t502))))) % 37.95/38.17 (assume @p308 (forall @t504 (=> @t471 (=> @t502 (not @t503))))) % 37.95/38.17 (assume @p309 (forall @t140 (=> @t475 (=> @t360 (=> @t506 @t505))))) % 37.95/38.17 (assume @p310 (forall @t140 (=> @t471 (=> @t360 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t80 @t128) @t507))))) % 37.95/38.17 (assume @p311 (forall @t140 (=> @t475 (=> @t503 (=> @t129 @t505))))) % 37.95/38.17 (assume @p312 (forall @t133 (=> @t471 (=> @t502 (=> @t129 @t507))))) % 37.95/38.17 (assume @p313 (forall @t302 (=> @t443 (=> @t497 @t509)))) % 37.95/38.17 (assume @p314 (forall @t480 (=> @t471 (=> @t496 @t511)))) % 37.95/38.17 (assume @p315 (forall @t288 (=> @t468 (=> @t499 (=> @t500 @t496))))) % 37.95/38.17 (assume @p316 (forall @t244 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t97)))) % 37.95/38.17 (assume @p317 (forall @t208 (= @t514 (or @t513 @t512)))) % 37.95/38.17 (assume @p318 (forall @t247 (=> @t500 (=> (not @t515) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t77 @t69))))) % 37.95/38.17 (assume @p319 (forall @t352 (=> @t516 @t122))) % 37.95/38.17 (assume @p320 (forall (@list @t517 @t518) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t518 @t517) (not (= @t518 @t517))))) % 37.95/38.17 (assume @p321 (forall (@list @t93 @t95 @t202) (=> (=> @t513 @t520) (=> (=> @t227 @t520) (=> (=> @t512 @t520) @t520))))) % 37.95/38.17 (assume @p322 (forall @t288 (=> @t521 @t501))) % 37.95/38.17 (assume @p323 (forall @t480 (=> @t471 (=> @t466 @t511)))) % 37.95/38.17 (assume @p324 (forall @t302 (=> @t443 (=> @t467 @t509)))) % 37.95/38.17 (assume @p325 (forall @t480 (=> @t471 (=> @t496 (=> @t479 @t510))))) % 37.95/38.17 (assume @p326 (forall @t302 (=> @t443 (=> @t497 (=> @t477 @t508))))) % 37.95/38.17 (assume @p327 (forall @t504 (=> @t471 (=> @t376 (=> @t522 @t502))))) % 37.95/38.17 (assume @p328 (forall @t283 (=> @t471 (=> @t314 (=> @t522 @t503))))) % 37.95/38.17 (assume @p329 (forall @t288 (=> @t471 (=> @t467 (or @t497 @t246))))) % 37.95/38.17 (assume @p330 (forall @t164 (=> @t468 (=> @t470 @t498)))) % 37.95/38.17 (assume @p331 (forall @t288 (=> @t443 (=> @t497 @t467)))) % 37.95/38.17 (assume @p332 (forall @t478 (=> @t468 (=> @t466 @t499)))) % 37.95/38.17 (assume @p333 (forall @t283 (=> @t471 (=> @t522 (=> @t376 @t502))))) % 37.95/38.17 (assume @p334 (forall @t283 (=> @t471 (=> @t522 (=> @t314 @t503))))) % 37.95/38.17 (assume @p335 (forall @t164 (=> @t468 (=> @t495 @t472)))) % 37.95/38.17 (assume @p336 (forall @t478 (=> @t468 (=> (not @t466) @t497)))) % 37.95/38.17 (assume @p337 (forall @t288 (=> @t468 (=> @t499 @t466)))) % 37.95/38.17 (assume @p338 (forall @t164 (=> @t471 (= @t470 (or @t493 @t162))))) % 37.95/38.17 (assume @p339 (forall @t164 (=> @t443 (= @t493 (and @t470 (not @t469)))))) % 37.95/38.17 (assume @p340 (forall @t164 (=> @t471 (= @t493 (and @t470 @t494))))) % 37.95/38.17 (assume @p341 (forall @t288 (=> @t468 (or @t467 @t496)))) % 37.95/38.17 (assume @p342 (forall @t164 (=> @t468 (= (not @t470) @t492)))) % 37.95/38.17 (assume @p343 (forall @t164 (=> @t468 (= @t495 @t469)))) % 37.95/38.17 (assume @p344 (forall @t327 (=> @t317 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t145 @t326) @t523)))) % 37.95/38.17 (assume @p345 (forall @t325 (=> @t317 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t143 @t324) @t523)))) % 37.95/38.17 (assume @p346 (forall @t140 (=> @t525 (=> @t503 @t524)))) % 37.95/38.17 (assume @p347 (forall @t140 (=> @t525 (=> @t503 @t526)))) % 37.95/38.17 (assume @p348 (forall @t238 (=> @t525 (=> @t503 @t529)))) % 37.95/38.17 (assume @p349 (forall @t320 (=> @t317 (=> @t524 @t503)))) % 37.95/38.17 (assume @p350 (forall @t318 (=> @t317 (=> @t526 @t503)))) % 37.95/38.17 (assume @p351 (forall @t328 (= (not @t204) @t530))) % 37.95/38.17 (assume @p352 (forall @t220 (=> @t491 @t531))) % 37.95/38.17 (assume @p353 (forall @t244 (=> @t531 @t532))) % 37.95/38.17 (assume @p354 (forall @t220 (=> @t490 @t491))) % 37.95/38.17 (assume @p355 (forall @t220 (=> @t533 @t491))) % 37.95/38.17 (assume @p356 (forall @t220 (=> @t535 (=> @t534 @t121)))) % 37.95/38.17 (assume @p357 (forall @t267 (=> @t538 (=> @t537 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t536 @t224))))) % 37.95/38.17 (assume @p358 (forall @t220 (=> @t491 (=> (not (= @t209 @t97)) @t533)))) % 37.95/38.17 (assume @p359 (forall @t220 (=> @t491 @t535))) % 37.95/38.17 (assume @p360 (forall @t352 (=> (not @t516) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t209) @t121)))) % 37.95/38.17 (assume @p361 (forall @t333 (=> (not @t512) @t540))) % 37.95/38.17 (assume @p362 (forall @t208 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t332 @t329) @t513))) % 37.95/38.17 (assume @p363 (forall @t208 (= @t542 @t541))) % 37.95/38.17 (assume @p364 (forall @t208 (= (not @t513) @t539))) % 37.95/38.17 (assume @p365 (forall (@list @t265 @t264) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t486 @t264)))) % 37.95/38.17 (assume @p366 (forall (@list @t264 @t265) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t543 @t264)))) % 37.95/38.17 (assume @p367 (forall @t231 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t230 @t229) @t513))) % 37.95/38.17 (assume @p368 (forall @t347 (=> @t538 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t264 @t348)))) % 37.95/38.17 (assume @p369 (forall @t347 (=> @t538 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t264 @t346)))) % 37.95/38.17 (assume @p370 (forall @t267 (=> @t538 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t342 @t345)))) % 37.95/38.17 (assume @p371 (forall @t344 (=> @t538 (=> @t544 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t342 @t341))))) % 37.95/38.17 (assume @p372 (forall (@list @t97 @t118 @t340 @t224) (=> @t544 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t340) @t545) @t491)))) % 37.95/38.17 (assume @p373 (forall @t267 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t486 @t224) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t264 @t224)))) % 37.95/38.17 (assume @p374 (forall @t447 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t69 @t221) @t546))) % 37.95/38.17 (assume @p375 (forall @t223 (=> @t515 @t546))) % 37.95/38.17 (assume @p376 (forall @t208 (= @t513 (and @t331 @t514)))) % 37.95/38.17 (assume @p377 (forall @t208 (= @t331 @t541))) % 37.95/38.17 (assume @p378 (forall @t220 (=> @t491 @t263))) % 37.95/38.17 (assume @p379 (forall @t220 (=> @t263 (=> @t122 @t491)))) % 37.95/38.17 (assume @p380 (forall @t220 (=> (or @t491 @t121) @t263))) % 37.95/38.17 (assume @p381 (forall @t247 (=> @t515 @t446))) % 37.95/38.17 (assume @p382 (forall @t231 (=> @t548 (= @t547 @t513)))) % 37.95/38.17 (assume @p383 (forall @t231 (=> @t548 (= @t412 @t227)))) % 37.95/38.17 (assume @p384 (forall @t61 (=> @t20 (= (tptp.c_Polynomial_OAbs__poly @t16 @t163) @t59)))) % 37.95/38.17 (assume @p385 (forall @t133 (=> @t293 (=> @t502 (=> @t550 @t549))))) % 37.95/38.17 (assume @p386 (forall @t133 (=> @t293 (=> @t502 (=> @t550 @t551))))) % 37.95/38.17 (assume @p387 (forall @t140 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t16) @t553))) % 37.95/38.17 (assume @p388 (forall @t140 (=> @t554 @t553))) % 37.95/38.17 (assume @p389 (forall @t140 (=> @t554 (=> @t503 (=> @t552 @t551))))) % 37.95/38.17 (assume @p390 (forall @t283 (=> @t293 (=> @t557 (=> @t556 @t555))))) % 37.95/38.17 (assume @p391 (forall @t283 (=> @t554 (=> @t557 (=> @t559 @t558))))) % 37.95/38.17 (assume @p392 (forall @t325 (=> @t293 (=> @t564 (= @t563 @t560))))) % 37.95/38.17 (assume @p393 (forall @t504 (=> @t554 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t281) @t566)))) % 37.95/38.17 (assume @p394 (forall @t283 (=> @t554 (=> @t555 @t566)))) % 37.95/38.17 (assume @p395 (forall @t283 (=> @t554 (=> @t565 (=> @t556 (tptp.c_Orderings_Oord__class_Oless @t16 @t281 @t19)))))) % 37.95/38.17 (assume @p396 (forall @t283 (=> @t554 (=> @t565 (=> @t556 @t558))))) % 37.95/38.17 (assume @p397 (forall @t283 (=> @t554 (=> @t565 (=> @t559 @t555))))) % 37.95/38.17 (assume @p398 (forall @t325 (=> @t293 (=> @t567 (= @t563 @t523))))) % 37.95/38.17 (assume @p399 (forall @t325 (=> @t293 (= @t563 @t568)))) % 37.95/38.17 (assume @p400 (forall @t327 (=> @t293 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t305 @t303) @t568)))) % 37.95/38.17 (assume @p401 (forall @t91 (=> @t287 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t394 @t19))))) % 37.95/38.17 (assume @p402 (forall @t140 (=> @t571 (=> @t565 @t570)))) % 37.95/38.17 (assume @p403 (forall @t193 (=> @t521 @t573))) % 37.95/38.17 (assume @p404 (forall @t283 (=> @t372 (=> @t557 @t575)))) % 37.95/38.17 (assume @p405 (forall @t283 (=> @t372 (=> @t565 @t577)))) % 37.95/38.17 (assume @p406 (forall @t193 (=> @t192 @t573))) % 37.95/38.17 (assume @p407 (forall @t193 (=> @t192 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t191) @t578)))) % 37.95/38.17 (assume @p408 (forall @t238 (=> @t525 (=> @t314 @t529)))) % 37.95/38.17 (assume @p409 (forall @t238 (=> @t525 (=> @t503 (=> @t321 @t527))))) % 37.95/38.17 (assume @p410 (forall @t208 (= @t542 (or @t203 (exists (@list @t579) (and (= @t202 (tptp.c_Nat_OSuc @t579)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t579 @t95))))))) % 37.95/38.17 (assume @p411 (forall @t328 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t95 @t200) @t204))) % 37.95/38.17 (assume @p412 (forall @t328 (= @t530 (exists (@list @t580) (= @t95 (tptp.c_Nat_OSuc @t580)))))) % 37.95/38.17 (assume @p413 (forall @t231 (=> @t548 (= @t581 @t331)))) % 37.95/38.17 (assume @p414 (forall @t208 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t207) (or @t582 @t530)))) % 37.95/38.17 (assume @p415 (forall @t208 (= @t513 (exists @t351 (= @t95 (tptp.c_Nat_OSuc @t350)))))) % 37.95/38.17 (assume @p416 (forall @t583 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t264 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t264))))) % 37.95/38.17 (assume @p417 (forall @t583 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t264 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t264 @t118))))) % 37.95/38.17 (assume @p418 (forall @t220 (=> @t335 @t491))) % 37.95/38.17 (assume @p419 (forall @t208 (=> @t331 @t540))) % 37.95/38.17 (assume @p420 (forall @t220 (=> @t491 @t335))) % 37.95/38.17 (assume @p421 (forall @t220 (=> @t263 @t535))) % 37.95/38.17 (assume @p422 (forall @t208 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t332 @t95) @t513))) % 37.95/38.17 (assume @p423 (forall @t208 (= @t542 @t331))) % 37.95/38.17 (assume @p424 (forall @t333 (= @t512 @t330))) % 37.95/38.17 (assume @p425 (forall @t267 (=> @t538 (=> @t584 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t427 @t426))))) % 37.95/38.17 (assume @p426 (forall @t267 (=> @t538 (=> @t584 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t425 @t424))))) % 37.95/38.17 (assume @p427 (forall @t233 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t414 @t413) @t585))) % 37.95/38.17 (assume @p428 (forall @t231 (= @t547 @t585))) % 37.95/38.17 (assume @p429 (forall @t208 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t407) (and @t582 @t530)))) % 37.95/38.17 (assume @p430 (forall @t231 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t417 @t416) @t513))) % 37.95/38.17 (assume @p431 (forall @t388 (=> @t156 (=> @t489 (=> @t586 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t385 @t97)))))) % 37.95/38.17 (assume @p432 (forall @t297 (=> @t156 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t177 @t294) (= @t385 @t294))))) % 37.95/38.17 (assume @p433 (forall (@list @t81 @t87 @t16) (=> @t156 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t294 @t177) (= @t385 @t177))))) % 37.95/38.17 (assume @p434 (forall @t318 (=> @t554 (=> @t440 @t587)))) % 37.95/38.17 (assume @p435 (forall @t320 (=> @t554 (=> @t405 @t587)))) % 37.95/38.17 (assume @p436 (forall @t318 (=> @t554 @t589))) % 37.95/38.17 (assume @p437 (forall @t318 (=> @t590 @t589))) % 37.95/38.17 (assume @p438 (forall @t320 (=> @t554 @t591))) % 37.95/38.17 (assume @p439 (forall @t320 (=> @t590 @t591))) % 37.95/38.17 (assume @p440 (forall @t238 (=> @t554 (=> @t314 (=> @t528 (=> @t565 @t593)))))) % 37.95/38.17 (assume @p441 (forall @t238 (=> @t554 (=> @t503 (=> @t321 (=> @t371 (=> @t552 @t592))))))) % 37.95/38.17 (assume @p442 (forall @t238 (=> @t554 (=> @t503 (=> @t528 (=> @t371 @t593)))))) % 37.95/38.17 (assume @p443 (forall @t238 (=> @t554 (=> @t503 (=> @t528 (=> @t559 @t593)))))) % 37.95/38.18 (assume @p444 (forall @t325 (=> @t293 (=> @t564 (= @t594 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t46 @t24)))))) % 37.95/38.18 (assume @p445 (forall @t325 (=> @t293 (=> @t567 (= @t594 @t323))))) % 37.95/38.18 (assume @p446 (forall @t283 (=> @t372 (=> @t380 @t575)))) % 37.95/38.18 (assume @p447 (forall @t283 (=> @t372 (=> @t557 (=> @t379 @t574))))) % 37.95/38.18 (assume @p448 (forall @t140 (=> @t372 (=> @t371 @t570)))) % 37.95/38.18 (assume @p449 (forall @t140 (=> @t372 (=> @t565 (=> @t375 @t569))))) % 37.95/38.18 (assume @p450 (forall @t283 (=> @t372 (=> @t371 @t577)))) % 37.95/38.18 (assume @p451 (forall @t283 (=> @t372 (=> @t565 (=> @t370 @t576))))) % 37.95/38.18 (assume @p452 (forall @t164 (=> @t293 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t292) (or (not @t60) @t595))))) % 37.95/38.18 (assume @p453 (forall @t288 (=> @t287 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t286 @t19))))) % 37.95/38.18 (assume @p454 (forall @t352 (=> @t597 (=> @t596 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t200 @t428))))) % 37.95/38.18 (assume @p455 (forall @t352 (=> @t597 (=> @t596 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t461))))) % 37.95/38.18 (assume @p456 (forall @t352 (=> @t597 (=> @t596 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t428))))) % 37.95/38.18 (assume @p457 (forall @t231 (= @t581 @t598))) % 37.95/38.18 (assume @p458 (forall @t233 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t414 @t413) @t598))) % 37.95/38.18 (assume @p459 (forall @t393 (=> @t20 (=> @t489 @t392)))) % 37.95/38.18 (assume @p460 (forall @t599 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t69 (tptp.c_Nat_OSuc @t200)) (or (= @t69 @t76) (= @t69 @t200))))) % 37.95/38.18 (assume @p461 (forall (@list @t600 @t44 @t161 @t59 @t16) (=> @t604 (= (tptp.c_Polynomial_Opdivmod__rel @t16 @t59 @t161 @t44 @t600) (and (= @t59 (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.c_Groups_Otimes__class_Otimes @t17 @t44 @t161) @t600)) (=> @t602 @t603) (=> (not @t602) (or @t601 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t16 @t600) (tptp.c_Polynomial_Odegree @t16 @t161))))))))) % 37.95/38.18 (assume @p462 (forall @t68 (=> @t521 (= @t605 (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t184))))) % 37.95/38.18 (assume @p463 (forall @t30 (=> @t521 (= (tptp.c_Polynomial_Opos__poly @t16 @t27) (or @t605 (and @t23 @t578)))))) % 37.95/38.18 (assume @p464 (forall @t610 (=> @t20 (=> (forall @t609 (=> @t608 @t607)) @t387)))) % 37.95/38.18 (assume @p465 (forall @t610 (=> @t20 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t177) (exists @t609 (and @t608 (not @t607))))))) % 37.95/38.18 (assume @p466 (forall @t619 (=> @t604 (=> @t618 (=> @t617 (and @t616 @t613)))))) % 37.95/38.18 (assume @p467 (forall @t619 (=> @t604 (=> @t618 (=> @t617 @t613))))) % 37.95/38.18 (assume @p468 (forall @t619 (=> @t604 (=> @t618 (=> @t617 @t616))))) % 37.95/38.18 (assume @p469 (forall @t465 (=> @t464 (= (tptp.c_Orderings_Oord__class_Oless @t462 @t2 @t1) (and @t463 (not (tptp.c_Orderings_Oord__class_Oless__eq @t462 @t1 @t2))))))) % 37.95/38.18 (assume @p470 (forall @t70 (=> @t604 (tptp.c_Polynomial_Opdivmod__rel @t16 @t69 @t18 @t18 @t69)))) % 37.95/38.18 (assume @p471 (forall @t481 (=> @t604 (tptp.c_Polynomial_Opdivmod__rel @t16 @t18 @t77 @t18 @t18)))) % 37.95/38.18 (assume @p472 (forall (@list @t600 @t44 @t59 @t16) (=> @t604 (= (tptp.c_Polynomial_Opdivmod__rel @t16 @t59 @t18 @t44 @t600) (and @t603 (= @t600 @t59)))))) % 37.95/38.18 (assume @p473 (forall (@list @t600 @t44 @t161 @t16) (=> @t604 (= (tptp.c_Polynomial_Opdivmod__rel @t16 @t18 @t161 @t44 @t600) (and @t603 @t601))))) % 37.95/38.18 (assume @p474 (forall (@list @t32 @t197 @t87 @t77 @t69 @t16) (=> @t604 (=> @t621 (tptp.c_Polynomial_Opdivmod__rel @t16 @t620 @t77 @t165 (tptp.c_Polynomial_Osmult @t16 @t32 @t197)))))) % 37.95/38.18 (assume @p475 (forall @t21 (=> @t521 (not (tptp.c_Polynomial_Opos__poly @t16 @t18))))) % 37.95/38.18 (assume @p476 (forall @t297 (=> @t521 (=> @t623 (=> @t622 (tptp.c_Polynomial_Opos__poly @t16 @t155)))))) % 37.95/38.18 (assume @p477 (forall @t297 (=> @t521 (=> @t623 (=> @t622 (tptp.c_Polynomial_Opos__poly @t16 @t257)))))) % 37.95/38.18 (assume @p478 (forall (@list @t624 @t625 @t221 @t197 @t87 @t77 @t69 @t16) (=> @t604 (=> @t621 (=> (tptp.c_Polynomial_Opdivmod__rel @t16 @t87 @t221 @t625 @t624) (tptp.c_Polynomial_Opdivmod__rel @t16 @t69 (tptp.c_Groups_Otimes__class_Otimes @t17 @t77 @t221) @t625 (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.c_Groups_Otimes__class_Otimes @t17 @t77 @t624) @t197))))))) % 37.95/38.18 (assume @p479 (forall @t632 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t16) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t69 @t32) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t77 @t32) (=> @t631 (=> @t630 (=> @t629 (tptp.c_Orderings_Oord__class_Oless @t16 @t627 @t32))))))))) % 37.95/38.18 (assume @p480 (forall @t642 (=> @t641 (= @t640 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t202 @t637))))) % 37.95/38.18 (assume @p481 (forall @t645 (=> @t644 (= @t640 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t643 @t95))))) % 37.95/38.18 (assume @p482 (forall @t632 (=> (tptp.class_Rings_Olinordered__semiring__1 @t16) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t69 @t32) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t77 @t32) (=> @t631 (=> @t630 (=> @t629 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t627 @t32))))))))) % 37.95/38.18 (assume @p483 (forall @t399 (=> @t648 (= @t647 @t47)))) % 37.95/38.18 (assume @p484 (forall @t399 (=> @t649 (= @t47 @t647)))) % 37.95/38.18 (assume @p485 (forall @t91 (=> @t648 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t32 @t32) @t19)))) % 37.95/38.18 (assume @p486 (forall @t91 (=> @t648 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t32 @t19) @t32)))) % 37.95/38.18 (assume @p487 (forall @t307 (=> @t651 (=> @t650 (= @t323 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t107 @t304)))))) % 37.95/38.18 (assume @p488 (forall @t21 (=> @t237 (= @t653 @t652)))) % 37.95/38.18 (assume @p489 (forall @t307 (=> @t651 (=> @t650 (= @t523 (tptp.c_Orderings_Oord__class_Oless @t16 @t107 @t304)))))) % 37.95/38.18 (assume @p490 (forall @t484 (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 (tptp.c_Groups_Ominus__class_Ominus @t16 @t128 @t482)) (tptp.c_Groups_Ominus__class_Ominus @t16 @t282 @t483))))) % 37.95/38.18 (assume @p491 (forall @t460 (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t457 @t654) (tptp.c_Groups_Ominus__class_Ominus @t16 @t459 @t458))))) % 37.95/38.18 (assume @p492 (forall @t456 (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t32 @t454) @t128) (tptp.c_Groups_Ominus__class_Ominus @t16 @t282 @t455))))) % 37.95/38.18 (assume @p493 (forall @t453 (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t654 @t448) (tptp.c_Groups_Ominus__class_Ominus @t16 @t450 @t449))))) % 37.95/38.18 (assume @p494 (forall @t283 (=> @t648 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t135 @t128) @t32)))) % 37.95/38.18 (assume @p495 (forall @t283 (=> @t648 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t655 @t128) @t32)))) % 37.95/38.18 (assume @p496 (forall @t21 (=> @t656 (not (= @t628 @t19))))) % 37.95/38.18 (assume @p497 (forall @t21 (=> @t656 (not (= @t19 @t628))))) % 37.95/38.18 (assume @p498 (forall @t220 (=> @t658 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t97 @t118) @t76) @t121)))) % 37.95/38.18 (assume @p499 (forall @t210 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t118) @t76))) % 37.95/38.18 (assume @p500 (forall @t210 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t76) @t118))) % 37.95/38.18 (assume @p501 (forall @t244 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t76 @t97) @t76))) % 37.95/38.18 (assume @p502 (forall @t91 (=> @t237 @t659))) % 37.95/38.18 (assume @p503 (forall @t91 (=> @t237 @t660))) % 37.95/38.18 (assume @p504 (forall @t91 (=> @t661 @t659))) % 37.95/38.18 (assume @p505 (forall @t91 (=> @t662 @t659))) % 37.95/38.18 (assume @p506 (forall @t91 (=> @t661 @t660))) % 37.95/38.18 (assume @p507 (forall @t91 (=> @t662 @t660))) % 37.95/38.18 (assume @p508 (forall @t220 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t209 @t104) @t657))) % 37.95/38.18 (assume @p509 (forall @t226 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t663 (tptp.c_Nat_OSuc @t224)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t657 @t224)))) % 37.95/38.18 (assume @p510 (forall @t666 (=> @t491 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 @t340) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t665 @t664))))) % 37.95/38.18 (assume @p511 (forall (@list @t97 @t224 @t265) (=> @t537 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t265 @t97) @t224)))) % 37.95/38.18 (assume @p512 (forall @t339 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t337 @t225) @t657))) % 37.95/38.18 (assume @p513 (forall @t420 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t667 @t545) @t657))) % 37.95/38.18 (assume @p514 (forall @t267 (= @t669 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t264 @t345)))) % 37.95/38.18 (assume @p515 (forall @t352 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t218 @t97) @t118))) % 37.95/38.18 (assume @p516 (forall @t220 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t219 @t97) @t118))) % 37.95/38.18 (assume @p517 (forall @t231 (=> @t673 (=> @t672 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t671 @t670) @t331))))) % 37.95/38.18 (assume @p518 (forall @t420 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t118) (=> @t336 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t224) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t97 @t224)) @t657))))) % 37.95/38.18 (assume @p519 (forall @t231 (=> @t673 (=> @t672 (= (= @t671 @t670) @t227))))) % 37.95/38.18 (assume @p520 (forall (@list @t97 @t264) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t264 @t97) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t97 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t97 @t264)) @t264)))) % 37.95/38.18 (assume @p521 (forall @t666 (=> @t263 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t340) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t97 @t340))))) % 37.95/38.18 (assume @p522 (forall @t666 (=> @t263 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t665 @t664)))) % 37.95/38.18 (assume @p523 (forall @t220 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t657 @t118))) % 37.95/38.18 (assume @p524 (forall @t226 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t657 @t224) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t422 @t421)))) % 37.95/38.18 (assume @p525 (forall @t420 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t224 @t657) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t419 @t418)))) % 37.95/38.18 (assume @p526 (forall @t196 (=> @t35 (= (tptp.c_Polynomial_Odegree @t16 @t82) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t177 @t674))))) % 37.95/38.18 (assume @p527 (forall @t208 (= (= @t407 @t674) @t677))) % 37.95/38.18 (assume @p528 (forall @t244 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t97 @t674) @t97))) % 37.95/38.18 (assume @p529 (forall @t208 (= (= @t674 @t407) @t677))) % 37.95/38.18 (assume @p530 (forall @t244 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t674 @t97) @t97))) % 37.95/38.18 (assume @p531 (forall @t183 (=> @t237 (= (tptp.c_Polynomial_Osmult @t16 @t628 @t81) @t81)))) % 37.95/38.18 (assume @p532 (forall @t70 (=> @t237 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t653) @t69) @t628)))) % 37.95/38.18 (assume @p533 (forall @t176 (=> @t649 (= (tptp.c_Groups_Ominus__class_Ominus @t17 @t103 @t175) (tptp.c_Polynomial_Omonom @t16 @t655 @t97))))) % 37.95/38.18 (assume @p534 (forall @t61 (=> (tptp.class_Groups_Oone @t16) (= (= @t628 @t59) @t678)))) % 37.95/38.18 (assume @p535 (forall @t307 (=> @t649 (=> @t650 (= @t47 @t306))))) % 37.95/38.18 (assume @p536 (forall @t150 (=> @t679 (= (tptp.c_Polynomial_Osmult @t16 @t655 @t81) (tptp.c_Groups_Ominus__class_Ominus @t17 @t149 @t148))))) % 37.95/38.18 (assume @p537 (forall @t157 (=> @t649 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t680) @t97) (tptp.c_Groups_Ominus__class_Ominus @t16 @t154 @t152))))) % 37.95/38.18 (assume @p538 (forall @t90 (=> @t679 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t680) @t69) (tptp.c_Groups_Ominus__class_Ominus @t16 @t174 @t88))))) % 37.95/38.18 (assume @p539 (forall @t172 (=> @t649 (= (tptp.c_Groups_Ominus__class_Ominus @t17 @t86 @t171) (tptp.c_Polynomial_OpCons @t16 @t655 @t680))))) % 37.95/38.18 (assume @p540 (forall @t267 (= @t669 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t264 @t224) @t265)))) % 37.95/38.18 (assume @p541 (forall @t244 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t104 @t674) @t97))) % 37.95/38.18 (assume @p542 (forall @t220 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t104) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t681 @t97)))) % 37.95/38.18 (assume @p543 (forall @t244 (=> @t532 (= @t682 @t97)))) % 37.95/38.18 (assume @p544 (forall @t244 (=> @t532 (= @t97 @t682)))) % 37.95/38.18 (assume @p545 (forall @t220 (and (=> @t683 (= @t219 @t97)) (=> @t684 (= @t219 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t681 @t97))))))) % 37.95/38.18 (assume @p546 (forall @t220 (and (=> @t683 (= @t428 @t76)) (=> @t684 (= @t428 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t97 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t681 @t97))))))) % 37.95/38.18 (assume @p547 (forall @t98 (=> @t237 (and (=> @t245 (= @t685 @t628)) (=> @t531 (= @t685 @t19)))))) % 37.95/38.18 (assume @p548 (forall @t399 (=> @t651 (= @t323 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t646 @t19))))) % 37.95/38.18 (assume @p549 (forall @t399 (=> @t651 (= @t523 (tptp.c_Orderings_Oord__class_Oless @t16 @t646 @t19))))) % 37.95/38.18 (assume @p550 (forall @t692 (=> @t691 (= @t690 (= @t687 @t304))))) % 37.95/38.18 (assume @p551 @t695) % 37.95/38.18 (assume @p552 (forall @t700 (=> @t452 (= @t699 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t697 @t696) @t698) (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t696)))))) % 37.95/38.18 (assume @p553 (forall @t21 (=> @t571 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t628)))) % 37.95/38.18 (assume @p554 (forall @t21 (=> @t571 (not (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t628 @t19))))) % 37.95/38.18 (assume @p555 (forall @t21 (=> @t571 (not (tptp.c_Orderings_Oord__class_Oless @t16 @t628 @t19))))) % 37.95/38.18 (assume @p556 (forall @t21 (=> @t571 (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t628)))) % 37.95/38.18 (assume @p557 (forall (@list @t97 @t118 @t16) (=> @t571 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t628 @t118) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t628 @t97) (tptp.c_Orderings_Oord__class_Oless @t16 @t628 (tptp.c_Groups_Otimes__class_Otimes @t16 @t118 @t97))))))) % 37.95/38.18 (assume @p558 (forall @t91 (=> @t571 (tptp.c_Orderings_Oord__class_Oless @t16 @t32 @t701)))) % 37.95/38.18 (assume @p559 (forall (@list @t118 @t32 @t16) (=> @t237 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t310 @t118) @t702)))) % 37.95/38.18 (assume @p560 (forall (@list @t32 @t118 @t16) (=> @t237 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t118 @t310) @t702)))) % 37.95/38.18 (assume @p561 (forall (@list @t118 @t16) (=> @t237 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t118 @t118) (tptp.c_Groups_Otimes__class_Otimes @t16 @t703 @t118))))) % 37.95/38.18 (assume @p562 (forall @t333 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t95 @t202)) @t513))) % 37.95/38.18 (assume @p563 (forall @t352 (=> @t532 (=> @t704 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t657 @t118))))) % 37.95/38.18 (assume @p564 (forall @t220 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t657 @t209))) % 37.95/38.18 (assume @p565 (forall @t352 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t97 @t218) @t76))) % 37.95/38.18 (assume @p566 (forall @t208 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t202 @t95) @t76) @t331))) % 37.95/38.18 (assume @p567 (forall @t220 (=> @t263 @t658))) % 37.95/38.18 (assume @p568 (forall @t352 (=> @t262 (= @t663 (tptp.c_Nat_OSuc @t657))))) % 37.95/38.18 (assume @p569 (forall @t220 (=> @t534 @t705))) % 37.95/38.18 (assume @p570 (forall @t708 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t634 @t707) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t706 @t635)))) % 37.95/38.18 (assume @p571 (forall @t709 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t128) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t80 @t32) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t32 @t80) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t128 @t80)))))) % 37.95/38.18 (assume @p572 (forall @t231 (=> @t673 (=> @t672 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t671 @t670) @t513))))) % 37.95/38.18 (assume @p573 (forall @t714 (=> @t713 (= @t712 @t711)))) % 37.95/38.18 (assume @p574 (forall @t714 (=> @t713 (= @t711 @t712)))) % 37.95/38.18 (assume @p575 (forall @t714 (=> @t713 (= @t716 @t715)))) % 37.95/38.18 (assume @p576 (forall @t708 (=> @t641 (= (= @t636 @t228) (= @t635 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t228 @t634)))))) % 37.95/38.18 (assume @p577 (forall @t352 (=> @t262 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t657 @t97) @t118)))) % 37.95/38.18 (assume @p578 (forall (@list @t634 @t635 @t228) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t228 @t635) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t634 @t707) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t706 @t635))))) % 37.95/38.18 (assume @p579 (forall @t714 (=> @t713 (= @t715 @t716)))) % 37.95/38.18 (assume @p580 (forall @t352 (=> @t262 @t705))) % 37.95/38.18 (assume @p581 (forall @t717 (=> @t336 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t218 @t224))))) % 37.95/38.18 (assume @p582 (forall (@list @t634 @t228 @t635) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t707 @t634) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t635 @t706)))) % 37.95/38.18 (assume @p583 (forall @t714 (=> @t713 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t264 @t710) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t342 @t265))))) % 37.95/38.18 (assume @p584 (= @t674 @t200)) % 37.95/38.18 (assume @p585 (forall @t244 (= @t104 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t97 @t674)))) % 37.95/38.18 (assume @p586 (forall @t244 (= @t104 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t674 @t97)))) % 37.95/38.18 (assume @p587 (forall @t220 (=> (= @t118 @t428) (or (= @t97 @t674) @t683)))) % 37.95/38.18 (assume @p588 (forall @t21 (=> @t237 (= (tptp.c_Polynomial_Odegree @t16 @t653) @t76)))) % 37.95/38.18 (assume @p589 (forall @t692 (=> @t404 (= @t718 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t687 @t304))))) % 37.95/38.18 (assume @p590 (forall @t692 (=> @t404 (= @t718 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t107 @t693))))) % 37.95/38.18 (assume @p591 (forall @t692 (=> @t404 (= @t719 (tptp.c_Orderings_Oord__class_Oless @t16 @t687 @t304))))) % 37.95/38.18 (assume @p592 (forall @t692 (=> @t404 (= @t719 (tptp.c_Orderings_Oord__class_Oless @t16 @t107 @t693))))) % 37.95/38.18 (assume @p593 (forall @t288 (=> @t521 (=> @t722 (=> @t721 (=> @t720 (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t77 @t69) @t69))))))) % 37.95/38.18 (assume @p594 (forall @t288 (=> @t521 (=> @t722 (=> @t721 (=> @t720 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t301 @t69))))))) % 37.95/38.18 (assume @p595 (forall @t21 (=> @t571 (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t703)))) % 37.95/38.18 (assume @p596 (forall (@list @t264 @t97) (=> @t532 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t97 @t536) @t97)))) % 37.95/38.18 (assume @p597 (forall @t244 (=> @t532 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t97 @t200)) @t97)))) % 37.95/38.18 (assume @p598 (forall @t731 (= @t730 (not (or (and @t729 @t728) (exists @t726 (and @t725 (not @t724)))))))) % 37.95/38.18 (assume @p599 (forall @t731 (= @t730 (and (=> @t729 @t727) (forall @t726 (=> @t725 @t724)))))) % 37.95/38.18 (assume @p600 (forall @t734 (=> @t713 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t733) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t337 @t732))))) % 37.95/38.18 (assume @p601 (forall @t734 (=> @t713 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t733 @t118) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t732 @t667))))) % 37.95/38.18 (assume @p602 (forall @t645 (=> @t644 (= @t735 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t643 @t95))))) % 37.95/38.18 (assume @p603 (forall (@list @t97 @t118 @t485 @t264 @t265) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t265 @t264) (= @t736 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t668 @t485) @t118) @t97))))) % 37.95/38.18 (assume @p604 (forall @t645 (=> @t644 (= @t737 (= @t643 @t95))))) % 37.95/38.18 (assume @p605 (forall @t642 (=> @t641 (= @t735 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t202 @t637))))) % 37.95/38.18 (assume @p606 (forall (@list @t97 @t118 @t485 @t265 @t264) (=> @t266 (= @t736 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t265 @t264) @t485) @t97)))))) % 37.95/38.18 (assume @p607 (forall @t642 (=> @t641 (= @t737 (= @t202 @t637))))) % 37.95/38.18 (assume @p608 (forall @t70 (=> (tptp.class_Rings_Oring__1 @t16) (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t285 @t628) (tptp.c_Groups_Otimes__class_Otimes @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t69 @t628) (tptp.c_Groups_Ominus__class_Ominus @t16 @t69 @t628)))))) % 37.95/38.18 (assume @p609 (forall @t700 (=> @t691 (= @t699 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t69 @t696) @t698))))) % 37.95/38.18 (assume @p610 (forall (@list @t81 @t80 @t16) (=> @t738 (= (tptp.c_Groups_Oplus__class_Oplus @t17 (tptp.c_Groups_Otimes__class_Otimes @t17 (tptp.c_Polynomial_OpCons @t16 (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t80) @t652) @t82) (tptp.c_Polynomial_OpCons @t16 @t84 @t18)) @t81)))) % 37.95/38.18 (assume @p611 (forall (@list @t234 @t128 @t80 @t32 @t16) (=> @t649 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t134 @t235) (tptp.c_Groups_Oplus__class_Oplus @t16 @t655 (tptp.c_Groups_Ominus__class_Ominus @t16 @t80 @t234)))))) % 37.95/38.18 (assume @p612 (forall @t216 (=> @t651 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t740 @t739) @t523)))) % 37.95/38.18 (assume @p613 (forall @t399 (=> @t651 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t739 @t46) (tptp.c_Orderings_Oord__class_Oless @t16 @t740 @t24))))) % 37.95/38.18 (assume @p614 (forall @t399 (=> @t651 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t24 @t740) (tptp.c_Orderings_Oord__class_Oless @t16 @t46 @t739))))) % 37.95/38.18 (assume @p615 (forall @t183 (=> @t649 (= (tptp.c_Groups_Ominus__class_Ominus @t17 @t81 @t18) @t81)))) % 37.95/38.18 (assume @p616 (forall @t166 (=> @t679 (= (tptp.c_Polynomial_Osmult @t16 @t32 @t680) (tptp.c_Groups_Ominus__class_Ominus @t17 @t149 @t165))))) % 37.95/38.18 (assume @p617 (forall @t283 (=> @t649 (= @t742 @t741)))) % 37.95/38.18 (assume @p618 (forall @t92 (=> @t649 (= (tptp.c_Groups_Ominus__class_Ominus @t17 @t18 @t87) (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t87))))) % 37.95/38.18 (assume @p619 (forall @t164 (=> @t521 (= (tptp.c_Orderings_Oord__class_Oless__eq @t17 @t59 @t161) (or @t162 @t743))))) % 37.95/38.18 (assume @p620 (forall @t164 (=> @t521 (= (tptp.c_Orderings_Oord__class_Oless @t17 @t59 @t161) @t743)))) % 37.95/38.18 (assume @p621 (forall (@list @t81 @t32 @t51) (=> (tptp.class_Groups_Oab__group__add @t51) (= (tptp.c_Groups_Ouminus__class_Ouminus @t55 (tptp.c_Polynomial_OpCons @t51 @t32 @t81)) (tptp.c_Polynomial_OpCons @t51 (tptp.c_Groups_Ouminus__class_Ouminus @t51 @t32) (tptp.c_Groups_Ouminus__class_Ouminus @t55 @t81)))))) % 37.95/38.18 (assume @p622 (forall @t127 (=> @t649 (= (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t86) (tptp.c_Polynomial_OpCons @t16 @t745 @t744))))) % 37.95/38.18 (assume @p623 (forall (@list @t69 @t81 @t16) (=> @t679 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t16 @t744) @t69) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t174))))) % 37.95/38.18 (assume @p624 (forall @t393 (=> @t649 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t744) @t97) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t154))))) % 37.95/38.18 (assume @p625 (forall @t127 (=> @t679 (= (tptp.c_Polynomial_Osmult @t16 @t745 @t81) @t746)))) % 37.95/38.18 (assume @p626 (forall @t399 (=> @t648 (= (= @t739 @t740) @t47)))) % 37.95/38.18 (assume @p627 (forall @t399 (=> @t648 (= (= @t739 @t46) (= @t740 @t24))))) % 37.95/38.18 (assume @p628 (forall @t399 (=> @t648 (= @t747 (= @t46 @t739))))) % 37.95/38.18 (assume @p629 (forall @t91 (=> @t648 (= (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t745) @t32)))) % 37.95/38.18 (assume @p630 (forall @t105 (=> @t649 (= (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t103) (tptp.c_Polynomial_Omonom @t16 @t745 @t97))))) % 37.95/38.18 (assume @p631 (forall @t164 (=> @t648 (= @t373 (= @t161 @t748))))) % 37.95/38.18 (assume @p632 (forall @t127 (=> @t679 (= (tptp.c_Polynomial_Osmult @t16 @t32 @t744) @t746)))) % 37.95/38.18 (assume @p633 (forall @t183 (=> @t649 (= (tptp.c_Polynomial_Odegree @t16 @t744) @t177)))) % 37.95/38.18 (assume @p634 (forall @t21 (=> @t649 (= (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t18) @t18)))) % 37.95/38.18 (assume @p635 (forall @t283 (=> @t649 (= @t750 (tptp.c_Groups_Oplus__class_Oplus @t16 @t745 @t749))))) % 37.95/38.18 (assume @p636 (forall @t283 (=> @t648 (= @t750 (tptp.c_Groups_Oplus__class_Oplus @t16 @t749 @t745))))) % 37.95/38.18 (assume @p637 (forall @t283 (=> @t648 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 (tptp.c_Groups_Oplus__class_Oplus @t16 @t745 @t128)) @t128)))) % 37.95/38.18 (assume @p638 (forall @t283 (=> @t648 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t745 @t135) @t128)))) % 37.95/38.18 (assume @p639 (forall @t283 (=> @t691 (= @t752 @t751)))) % 37.95/38.18 (assume @p640 (forall @t283 (=> @t691 (= @t752 @t753)))) % 37.95/38.18 (assume @p641 (forall @t283 (=> @t691 (= @t753 @t751)))) % 37.95/38.18 (assume @p642 (forall @t283 (=> @t691 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t745 @t749) @t282)))) % 37.95/38.18 (assume @p643 (forall @t399 (=> @t64 (= (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t24 @t24) (tptp.c_Groups_Otimes__class_Otimes @t16 @t46 @t46)) (or @t47 @t747))))) % 37.95/38.18 (assume @p644 (forall @t288 (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t754 @t77) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t301))))) % 37.95/38.18 (assume @p645 (forall @t283 (=> @t452 (= @t753 @t752)))) % 37.95/38.18 (assume @p646 (forall (@list @t69 @t457 @t16) (=> @t452 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t457 @t754) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t459))))) % 37.95/38.18 (assume @p647 (forall @t283 (=> @t452 (= @t751 @t752)))) % 37.95/38.18 (assume @p648 (forall @t399 (=> @t651 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t24 @t740) (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t46 @t739))))) % 37.95/38.18 (assume @p649 (forall @t399 (=> @t651 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t739 @t46) (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t740 @t24))))) % 37.95/38.18 (assume @p650 (forall @t216 (=> @t651 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t740 @t739) @t323)))) % 37.95/38.18 (assume @p651 (forall @t283 (=> @t651 (=> @t314 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t749 @t745))))) % 37.95/38.18 (assume @p652 @t757) % 37.95/38.18 (assume @p653 (forall @t193 (=> @t648 (= (= @t19 @t739) @t758)))) % 37.95/38.18 (assume @p654 (forall @t193 (=> @t192 (= (= @t24 @t739) @t25)))) % 37.95/38.18 (assume @p655 (forall @t193 (=> @t648 (= (= @t739 @t19) @t25)))) % 37.95/38.18 (assume @p656 (forall @t193 (=> @t192 (= (= @t739 @t24) @t25)))) % 37.95/38.18 (assume @p657 (forall @t193 (=> @t192 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t739 @t24) @t368)))) % 37.95/38.18 (assume @p658 (forall @t193 (=> @t651 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t739 @t19) @t368)))) % 37.95/38.18 (assume @p659 (forall @t193 (=> @t192 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t24 @t739) @t369)))) % 37.95/38.18 (assume @p660 (forall @t193 (=> @t651 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t739) @t369)))) % 37.95/38.18 (assume @p661 (forall @t193 (=> @t521 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t24 @t739) @t572)))) % 37.95/38.18 (assume @p662 (forall @t193 (=> @t192 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t739 @t24) @t578)))) % 37.95/38.18 (assume @p663 (forall @t193 (=> @t651 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t739 @t19) @t578)))) % 37.95/38.18 (assume @p664 (forall @t193 (=> @t651 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t739) @t572)))) % 37.95/38.18 (assume @p665 @t761) % 37.95/38.18 (assume @p666 (forall @t399 (=> @t648 (= @t747 (= @t146 @t19))))) % 37.95/38.18 (assume @p667 (forall @t91 (=> @t648 @t762))) % 37.95/38.18 (assume @p668 (forall @t91 (=> @t649 @t762))) % 37.95/38.18 (assume @p669 (forall @t283 (=> @t648 (=> (= @t135 @t19) (= @t745 @t128))))) % 37.95/38.18 (assume @p670 @t765) % 37.95/38.18 (assume @p671 (forall @t61 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t16) (= (= @t291 @t628) (or @t678 (= @t59 @t766)))))) % 37.95/38.18 (assume @p672 (forall @t70 (=> @t738 (= @t754 (tptp.c_Groups_Otimes__class_Otimes @t16 @t766 @t69))))) % 37.95/38.18 (assume @p673 (forall @t288 (=> @t738 (= @t654 (tptp.c_Groups_Oplus__class_Oplus @t16 @t69 @t767))))) % 37.95/38.18 (assume @p674 (forall @t283 (=> @t648 @t768))) % 37.95/38.18 (assume @p675 (forall @t283 (=> @t649 @t768))) % 37.95/38.18 (assume @p676 (forall @t283 (=> @t648 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t32 @t749) @t135)))) % 37.95/38.18 (assume @p677 (forall @t388 (=> @t649 (=> @t489 (=> @t586 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t769 @t97)))))) % 37.95/38.18 (assume @p678 (forall @t388 (=> @t649 (=> @t387 (=> @t386 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t769 @t97)))))) % 37.95/38.18 (assume @p679 (forall @t183 (=> @t521 (or @t123 @t623 (tptp.c_Polynomial_Opos__poly @t16 @t744))))) % 37.95/38.18 (assume @p680 (forall (@list @t32 @t128 @t197 @t87 @t77 @t69 @t16) (=> @t604 (=> @t621 (=> @t775 (=> (= @t128 (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t770) @t772) @t773)) (tptp.c_Polynomial_Opdivmod__rel @t16 @t771 @t77 @t171 (tptp.c_Groups_Ominus__class_Ominus @t17 @t770 (tptp.c_Polynomial_Osmult @t16 @t128 @t77))))))))) % 37.95/38.18 (assume @p681 (forall @t283 (=> @t649 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t745 @t749) @t742)))) % 37.95/38.18 (assume @p682 (forall @t288 (=> @t776 (=> @t467 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t767 @t754))))) % 37.95/38.18 (assume @p683 (forall @t453 (=> @t779 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t654 @t448) (tptp.c_Groups_Ominus__class_Ominus @t16 @t778 @t777))))) % 37.95/38.18 (assume @p684 (forall @t91 (=> @t780 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t32 @t628) @t32)))) % 37.95/38.18 (assume @p685 (forall @t140 (=> @t780 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t655 @t80) (tptp.c_Groups_Ominus__class_Ominus @t16 @t782 @t781))))) % 37.95/38.18 (assume @p686 (forall @t283 (=> @t780 (= @t784 (tptp.c_Rings_Oinverse__class_Odivide @t16 @t745 @t128))))) % 37.95/38.18 (assume @p687 (forall @t288 (=> @t779 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t754 @t77) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t785))))) % 37.95/38.18 (assume @p688 (forall @t481 (=> @t779 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t19 @t77) @t19)))) % 37.95/38.18 (assume @p689 (forall @t91 (=> @t780 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t19 @t32) @t19)))) % 37.95/38.18 (assume @p690 (forall @t91 (=> @t786 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t32 @t19) @t19)))) % 37.95/38.18 (assume @p691 (forall @t140 (=> @t780 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t781) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t282 @t80))))) % 37.95/38.18 (assume @p692 (forall @t453 (=> @t779 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t451 @t448) (tptp.c_Groups_Oplus__class_Oplus @t16 @t778 @t777))))) % 37.95/38.18 (assume @p693 (forall @t140 (=> @t780 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t135 @t80) (tptp.c_Groups_Oplus__class_Oplus @t16 @t782 @t781))))) % 37.95/38.18 (assume @p694 (forall @t318 (=> @t780 (=> @t787 (=> (= @t308 @t128) (= @t32 @t781)))))) % 37.95/38.18 (assume @p695 (forall @t378 (=> @t780 (=> @t787 (=> (= @t128 @t308) (= @t781 @t32)))))) % 37.95/38.18 (assume @p696 (forall @t793 (=> @t780 (=> @t792 (= @t790 @t788))))) % 37.95/38.18 (assume @p697 (forall @t325 (=> @t780 (=> @t792 (= @t795 @t794))))) % 37.95/38.18 (assume @p698 (forall @t91 (=> @t786 (and (=> @t179 (= @t796 @t19)) @t797)))) % 37.95/38.18 (assume @p699 (forall @t91 (=> @t780 @t797))) % 37.95/38.18 (assume @p700 (forall @t216 (=> @t780 (=> (not @t430) (= (= @t798 @t628) @t47))))) % 37.95/38.18 (assume @p701 (forall @t504 (=> @t780 (=> @t433 @t799)))) % 37.95/38.18 (assume @p702 (forall @t504 (=> @t780 (=> @t433 @t800)))) % 37.95/38.18 (assume @p703 (forall (@list @t34 @t234 @t80 @t128 @t32 @t16) (=> (tptp.class_RealVector_Oreal__field @t16) (= (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t282 (tptp.c_Groups_Otimes__class_Otimes @t16 @t80 @t234)) @t34) (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t128 @t234) @t34)) (tptp.c_Groups_Otimes__class_Otimes @t16 (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t32 @t80) @t34) @t234)))))) % 37.95/38.18 (assume @p704 (forall @t283 (=> @t801 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t282) @t282)))) % 37.95/38.18 (assume @p705 (forall @t70 (=> @t801 (= @t285 @t69)))) % 37.95/38.18 (assume @p706 (forall @t91 (=> @t801 (= @t394 @t32)))) % 37.95/38.18 (assume @p707 (forall (@list @t59 @t802 @t803 @t51 @t16) (=> (tptp.class_Groups_Ominus @t16) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t805 @t803 @t802) @t59) (tptp.c_Groups_Ominus__class_Ominus @t16 @t804 (tptp.hAPP @t802 @t59)))))) % 37.95/38.18 (assume @p708 (forall @t164 (=> @t776 (= (= @t748 @t806) @t162)))) % 37.95/38.18 (assume @p709 (forall (@list @t59 @t803 @t51 @t16) (=> (tptp.class_Groups_Ouminus @t16) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t805 @t803) @t59) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t804))))) % 37.95/38.18 (assume @p710 (forall @t70 (=> @t776 (= (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t754) @t69)))) % 37.95/38.18 (assume @p711 (forall @t164 (=> @t776 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t748 @t806) @t469)))) % 37.95/38.18 (assume @p712 (forall @t140 (=> @t810 (=> @t314 (=> @t441 @t809))))) % 37.95/38.18 (assume @p713 (forall @t133 (=> @t811 (=> @t376 (=> @t377 @t809))))) % 37.95/38.18 (assume @p714 (forall @t793 (=> @t811 (=> @t564 (= @t813 @t812))))) % 37.95/38.18 (assume @p715 (forall (@list @t814 @t221 @t77 @t69 @t16) (=> @t815 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t785 (tptp.c_Rings_Oinverse__class_Odivide @t16 @t221 @t814)) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t300 (tptp.c_Groups_Otimes__class_Otimes @t16 @t77 @t814)))))) % 37.95/38.18 (assume @p716 (forall @t283 (=> @t815 @t800))) % 37.95/38.18 (assume @p717 (forall @t283 (=> @t815 @t799))) % 37.95/38.18 (assume @p718 (forall @t140 (=> @t810 (=> @t314 (=> @t441 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t781 @t782)))))) % 37.95/38.18 (assume @p719 (forall @t140 (=> @t810 (=> @t314 (=> @t377 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t782 @t781)))))) % 37.95/38.18 (assume @p720 (forall @t399 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t798 @t19) @t400)))) % 37.95/38.18 (assume @p721 (forall @t399 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t798) @t397)))) % 37.95/38.18 (assume @p722 (forall @t399 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t798) (or (and @t578 @t817) (and @t572 @t816)))))) % 37.95/38.18 (assume @p723 (forall @t399 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t798 @t19) (or (and @t578 @t816) (and @t572 @t817)))))) % 37.95/38.18 (assume @p724 (forall @t288 (=> @t811 (=> @t820 (=> @t819 @t818))))) % 37.95/38.18 (assume @p725 (forall @t288 (=> @t811 (=> @t820 (=> @t822 @t821))))) % 37.95/38.18 (assume @p726 (forall @t288 (=> @t811 (=> @t823 (=> @t819 @t821))))) % 37.95/38.18 (assume @p727 (forall @t288 (=> @t811 (=> @t823 (=> @t822 @t818))))) % 37.95/38.18 (assume @p728 (forall @t140 (=> @t811 (=> @t503 (=> @t552 @t824))))) % 37.95/38.18 (assume @p729 (forall @t133 (=> @t811 (=> @t502 (=> @t550 @t824))))) % 37.95/38.18 (assume @p730 (forall (@list @t311 @t59 @t50 @t161 @t16) (=> @t604 (=> @t595 (=> (not (= @t50 @t19)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t59 @t161) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t311 @t50)) (= @t312 @t313))))))) % 37.95/38.18 (assume @p731 (forall @t318 (=> @t815 (=> @t787 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t439 @t438) @t783))))) % 37.95/38.18 (assume @p732 (forall @t318 (=> @t815 (=> @t787 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t308 @t284) @t783))))) % 37.95/38.18 (assume @p733 (forall @t826 (=> @t815 (= @t790 (and (=> @t792 @t788) @t825))))) % 37.95/38.18 (assume @p734 (forall @t147 (=> @t815 (= @t795 (and (=> @t792 @t794) @t825))))) % 37.95/38.18 (assume @p735 (forall @t288 (=> @t811 (=> @t828 (=> @t822 @t827))))) % 37.95/38.18 (assume @p736 (forall @t288 (=> @t811 (=> @t828 (=> @t819 @t829))))) % 37.95/38.18 (assume @p737 (forall @t834 (=> @t811 (=> @t722 (=> @t467 (=> @t833 (=> @t832 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t831 @t830)))))))) % 37.95/38.18 (assume @p738 (forall @t834 (=> @t811 (=> @t722 (=> @t497 (=> @t833 (=> @t832 @t835))))))) % 37.95/38.18 (assume @p739 (forall @t834 (=> @t811 (=> @t820 (=> @t467 (=> @t833 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t814 @t221) @t835))))))) % 37.95/38.18 (assume @p740 (forall @t288 (=> @t811 (=> @t722 (=> @t822 @t829))))) % 37.95/38.18 (assume @p741 (forall @t288 (=> @t811 (=> @t722 (=> @t819 @t827))))) % 37.95/38.18 (assume @p742 (forall @t147 (=> @t810 (= @t840 (and (=> @t567 @t839) (=> @t838 (and (=> @t564 @t837) (=> @t836 @t572)))))))) % 37.95/38.18 (assume @p743 (forall @t826 (=> @t810 (= @t841 (and (=> @t567 @t837) (=> @t838 (and (=> @t564 @t839) (=> @t836 @t578)))))))) % 37.95/38.18 (assume @p744 (forall @t325 (=> @t811 (=> @t567 (= @t840 @t839))))) % 37.95/38.18 (assume @p745 (forall @t793 (=> @t811 (=> @t567 (= @t841 @t837))))) % 37.95/38.18 (assume @p746 (forall @t480 (=> @t811 (=> @t819 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t69 @t842) (tptp.c_Orderings_Oord__class_Oless @t16 @t785 @t221)))))) % 37.95/38.18 (assume @p747 (forall @t843 (=> @t811 (=> @t819 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t842 @t69) (tptp.c_Orderings_Oord__class_Oless @t16 @t221 @t785)))))) % 37.95/38.18 (assume @p748 (forall @t325 (=> @t811 (=> @t564 (= @t840 @t837))))) % 37.95/38.18 (assume @p749 (forall @t793 (=> @t811 (=> @t564 (= @t841 @t839))))) % 37.95/38.18 (assume @p750 (forall @t133 (=> @t811 (=> @t502 (=> @t552 @t844))))) % 37.95/38.18 (assume @p751 (forall @t140 (=> @t811 (=> @t503 (=> @t550 @t844))))) % 37.95/38.18 (assume @p752 (forall @t843 (=> @t815 (=> @t847 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t221 @t785) @t846))))) % 37.95/38.18 (assume @p753 (forall @t851 (=> @t604 (=> @t850 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t69 @t849) (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t848 @t77) @t221)))))) % 37.95/38.18 (assume @p754 (forall @t480 (=> @t815 (=> @t847 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t785 @t221) @t846))))) % 37.95/38.18 (assume @p755 (forall @t851 (=> @t604 (=> @t850 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t831 @t77) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t845 @t221)))))) % 37.95/38.18 (assume @p756 (forall @t855 (=> @t604 (=> @t847 (=> @t850 (= (tptp.c_Groups_Oplus__class_Oplus @t16 @t785 @t854) (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t300 @t853) @t852))))))) % 37.95/38.18 (assume @p757 (forall @t851 (=> @t604 (=> @t850 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t69 @t849) (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t848 @t77) @t221)))))) % 37.95/38.18 (assume @p758 (forall @t851 (=> @t604 (=> @t850 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t831 @t77) (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t69 @t842) @t221)))))) % 37.95/38.18 (assume @p759 (forall @t855 (=> @t604 (=> @t847 (=> @t850 (= (tptp.c_Groups_Ominus__class_Ominus @t16 @t785 @t854) (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t300 @t853) @t852))))))) % 37.95/38.18 (assume @p760 (forall @t283 (=> @t811 (=> @t503 (tptp.c_Orderings_Oord__class_Oless @t16 @t32 @t856))))) % 37.95/38.18 (assume @p761 (forall @t283 (=> @t811 (=> @t503 (tptp.c_Orderings_Oord__class_Oless @t16 @t856 @t128))))) % 37.95/38.18 (assume @p762 (forall @t147 (=> @t810 (= @t858 (and (=> @t567 @t812) (=> @t838 (and (=> @t564 @t857) (=> @t836 @t369)))))))) % 37.95/38.18 (assume @p763 (forall @t826 (=> @t810 (= @t813 (and (=> @t567 @t857) (=> @t838 (and (=> @t564 @t812) (=> @t836 @t368)))))))) % 37.95/38.18 (assume @p764 (forall @t325 (=> @t811 (=> @t567 (= @t858 @t812))))) % 37.95/38.18 (assume @p765 (forall @t793 (=> @t811 (=> @t567 (= @t813 @t857))))) % 37.95/38.18 (assume @p766 (forall @t480 (=> @t811 (=> @t819 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t69 @t842) (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t785 @t221)))))) % 37.95/38.18 (assume @p767 (forall @t843 (=> @t811 (=> @t819 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t842 @t69) (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t221 @t785)))))) % 37.95/38.18 (assume @p768 (forall @t325 (=> @t811 (=> @t564 (= @t858 @t857))))) % 37.95/38.18 (assume @p769 (forall (@list @t69 @t32 @t77 @t16) (=> @t604 (=> @t775 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t771 @t77) (tptp.c_Groups_Ominus__class_Ominus @t17 @t860 (tptp.c_Polynomial_Osmult @t16 (tptp.c_Rings_Oinverse__class_Odivide @t16 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t16 @t860) @t772) @t773) @t77))))))) % 37.95/38.18 (assume @p770 (forall @t70 (=> @t521 (and (=> @t863 (= @t861 @t18)) (=> (not @t863) (and (=> @t862 (= @t861 @t653)) (=> (not @t862) (= @t861 (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t653))))))))) % 37.95/38.18 (assume @p771 (forall @t288 (=> @t604 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t864 @t77) (tptp.c_Groups_Ouminus__class_Ouminus @t17 @t859))))) % 37.95/38.18 (assume @p772 (forall @t288 (=> @t604 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t69 @t865) @t859)))) % 37.95/38.18 (assume @p773 (forall @t70 (=> @t867 (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t754) (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t866))))) % 37.95/38.18 (assume @p774 (forall @t21 (=> (tptp.class_RealVector_Oreal__normed__algebra__1 @t16) (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t628) @t628)))) % 37.95/38.18 (assume @p775 (forall (@list @t197 @t87 @t77 @t69 @t16) (=> @t604 (=> @t621 (= @t859 @t197))))) % 37.95/38.18 (assume @p776 (forall @t868 (=> @t604 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t620 @t77) (tptp.c_Polynomial_Osmult @t16 @t32 @t859))))) % 37.95/38.18 (assume @p777 (forall @t21 (=> @t867 @t869))) % 37.95/38.18 (assume @p778 (forall @t61 (=> @t867 (= (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t59) @t19) @t60)))) % 37.95/38.18 (assume @p779 (forall @t21 (=> @t870 @t869))) % 37.95/38.18 (assume @p780 (forall @t193 (=> @t521 (= (= @t871 @t19) @t25)))) % 37.95/38.18 (assume @p781 (forall @t288 (=> (tptp.class_RealVector_Oreal__normed__div__algebra @t16) (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t301) (tptp.c_Groups_Otimes__class_Otimes @t16 @t866 (tptp.c_Groups_Osgn__class_Osgn @t16 @t77)))))) % 37.95/38.18 (assume @p782 (forall @t283 (=> @t521 (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t282) (tptp.c_Groups_Otimes__class_Otimes @t16 @t872 (tptp.c_Groups_Osgn__class_Osgn @t16 @t128)))))) % 37.95/38.18 (assume @p783 (forall @t91 (=> @t521 (= (tptp.c_Groups_Osgn__class_Osgn @t16 @t872) @t872)))) % 37.95/38.18 (assume @p784 (forall @t288 (=> @t604 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t873 @t772) (= @t859 @t69))))) % 37.95/38.18 (assume @p785 (forall @t868 (=> @t604 (=> @t180 (= (tptp.c_Divides_Odiv__class_Omod @t17 @t69 @t874) @t859))))) % 37.95/38.18 (assume @p786 (forall @t193 (=> @t521 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t871) @t578)))) % 37.95/38.18 (assume @p787 (forall @t193 (=> @t521 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t871 @t19) @t572)))) % 37.95/38.18 (assume @p788 (forall @t478 (=> @t604 (=> @t775 (or (= @t859 @t18) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t16 @t859) @t772)))))) % 37.95/38.18 (assume @p789 (forall @t91 (=> @t521 (=> @t565 (= @t872 @t628))))) % 37.95/38.18 (assume @p790 (forall @t193 (=> @t521 (= (= @t871 @t628) @t578)))) % 37.95/38.18 (assume @p791 (forall @t70 (=> @t870 (and (=> @t875 (= @t866 @t19)) (=> (not @t875) (and (=> @t820 (= @t866 @t628)) (=> (not @t820) (= @t866 @t766)))))))) % 37.95/38.18 (assume @p792 (forall @t193 (=> @t521 (= (= @t871 @t766) @t572)))) % 37.95/38.18 (assume @p793 (forall @t91 (=> @t521 (=> @t557 (= @t872 @t766))))) % 37.95/38.18 (assume @p794 (forall @t140 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t284) @t128) @t876)))) % 37.95/38.18 (assume @p795 (forall @t320 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t32 @t438) @t128) @t876)))) % 37.95/38.18 (assume @p796 (forall @t220 @t880)) % 37.95/38.18 (assume @p797 (forall @t220 (and @t881 @t880))) % 37.95/38.18 (assume @p798 (forall @t352 (=> @t262 @t879))) % 37.95/38.18 (assume @p799 (forall @t210 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t118 @t200) @t76))) % 37.95/38.18 (assume @p800 (forall @t220 (and (=> @t884 (= @t883 @t76)) (=> (not @t884) (= @t883 @t882))))) % 37.95/38.18 (assume @p801 (forall (@list @t304 @t202) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t202 @t304) @t76) (exists (@list @t885) (= @t202 (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t304 @t885)))))) % 37.95/38.18 (assume @p802 (forall @t717 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t886 @t97) @t878))) % 37.95/38.18 (assume @p803 (forall @t420 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t224 @t878) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t419 @t418)))) % 37.95/38.18 (assume @p804 (forall @t226 (= (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t878 @t224) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t422 @t421)))) % 37.95/38.18 (assume @p805 (forall @t220 (= @t883 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t882 @t97)))) % 37.95/38.18 (assume @p806 (forall @t717 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t886) @t97) @t883))) % 37.95/38.18 (assume @p807 (forall @t352 (=> @t532 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t878 @t97)))) % 37.95/38.18 (assume @p808 (forall @t220 @t881)) % 37.95/38.18 (assume @p809 (forall @t352 (=> @t532 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t878 @t97)))) % 37.95/38.18 (assume @p810 (forall @t220 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t878 @t118))) % 37.95/38.18 (assume @p811 (forall (@list @t228 @t95 @t93) (= (tptp.hBOOL (tptp.hAPP @t93 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t95 @t228))) (and (=> @t408 @t887) (=> (not @t408) (forall (@list @t606 @t579) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t579 @t228) (=> (= @t95 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t228 @t606) @t579)) (tptp.hBOOL (tptp.hAPP @t93 @t579)))))))))) % 37.95/38.18 (assume @p812 (forall (@list @t87 @t128 @t197 @t80) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t80) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t197 @t128) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t128 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t87 @t80)) @t197) (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t128 @t80)))))) % 37.95/38.18 (assume @p813 (forall (@list @t118 @t224) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t674 @t224) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t419) @t224) @t674)))) % 37.95/38.18 (assume @p814 (forall @t283 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t876 @t128) @t876)))) % 37.95/38.18 (assume @p815 (forall @t91 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t19 @t32) @t19)))) % 37.95/38.18 (assume @p816 (forall @t91 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t32 @t19) @t32)))) % 37.95/38.18 (assume @p817 (forall @t91 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t32 @t32) @t19)))) % 37.95/38.18 (assume @p818 (forall @t893 (=> @t877 (=> @t892 (=> @t890 (= @t888 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t454 @t482) @t80))))))) % 37.95/38.18 (assume @p819 (forall @t320 (=> @t877 (= @t894 @t888)))) % 37.95/38.18 (assume @p820 (forall @t320 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t308 @t284) (tptp.c_Groups_Otimes__class_Otimes @t16 @t876 @t80))))) % 37.95/38.18 (assume @p821 (forall @t318 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t439 @t438) (tptp.c_Groups_Otimes__class_Otimes @t16 @t80 @t876))))) % 37.95/38.18 (assume @p822 (forall @t140 (=> @t877 (= @t888 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t891 @t889) @t80))))) % 37.95/38.18 (assume @p823 (forall @t140 (=> @t877 (= @t888 @t894)))) % 37.95/38.18 (assume @p824 (forall @t140 (=> @t877 (= @t888 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t889) @t80))))) % 37.95/38.18 (assume @p825 (forall @t893 (=> @t877 (=> @t892 (=> @t890 (= @t895 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t454 @t482) @t80))))))) % 37.95/38.18 (assume @p826 (forall @t320 (=> @t877 (= @t896 @t895)))) % 37.95/38.18 (assume @p827 (forall @t140 (=> @t877 (= @t897 @t895)))) % 37.95/38.18 (assume @p828 (forall @t140 (=> @t877 (= @t895 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Oplus__class_Oplus @t16 @t891 @t889) @t80))))) % 37.95/38.18 (assume @p829 (forall @t140 (=> @t877 (= @t895 @t896)))) % 37.95/38.18 (assume @p830 (forall @t140 (=> @t877 (= @t895 @t897)))) % 37.95/38.18 (assume @p831 (forall @t504 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t131 @t128) @t876)))) % 37.95/38.18 (assume @p832 (forall @t283 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t135 @t128) @t876)))) % 37.95/38.18 (assume @p833 (forall @t893 (=> @t899 (=> @t892 (=> @t890 (= @t898 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t454 @t482) @t80))))))) % 37.95/38.18 (assume @p834 (forall @t140 (=> @t899 (= @t898 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t891 @t889) @t80))))) % 37.95/38.18 (assume @p835 (forall @t140 (=> @t899 (= @t898 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t891 @t128) @t80))))) % 37.95/38.18 (assume @p836 (forall @t140 (=> @t899 (= @t898 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t32 @t889) @t80))))) % 37.95/38.18 (assume @p837 (forall (@list @t454 @t128 @t32 @t16) (=> @t899 (=> (= @t876 (tptp.c_Divides_Odiv__class_Omod @t16 @t454 @t128)) (= @t900 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t454) @t128)))))) % 37.95/38.18 (assume @p838 (forall @t283 (=> @t899 (= @t900 (tptp.c_Divides_Odiv__class_Omod @t16 (tptp.c_Groups_Ouminus__class_Ouminus @t16 @t876) @t128))))) % 37.95/38.18 (assume @p839 (forall @t504 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t281 @t128) @t19)))) % 37.95/38.18 (assume @p840 (forall @t283 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t282 @t128) @t19)))) % 37.95/38.18 (assume @p841 (forall @t91 (=> @t877 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t32 @t628) @t19)))) % 37.95/38.18 (assume @p842 (forall @t288 (=> @t604 (and (=> @t903 (= @t902 @t19)) (=> @t904 (= @t902 @t628)))))) % 37.95/38.18 (assume @p843 (forall (@list @t95 @t93) (=> @t728 (=> @t887 (exists @t351 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t349 @t95) (forall @t609 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t606 @t349) (not (tptp.hBOOL (tptp.hAPP @t93 @t606))))) (tptp.hBOOL (tptp.hAPP @t93 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t349 @t674))))))))) % 37.95/38.18 (assume @p844 (forall @t288 (=> @t604 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t864 @t77) @t901)))) % 37.95/38.18 (assume @p845 (forall @t288 (=> @t604 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t69 @t865) @t901)))) % 37.95/38.18 (assume @p846 (forall @t481 (=> @t604 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t653 @t77) @t653)))) % 37.95/38.18 (assume @p847 (forall @t70 (=> @t604 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t69 @t653) @t653)))) % 37.95/38.18 (assume @p848 (forall @t164 (=> @t604 (= (= @t905 @t18) (and (= @t59 @t18) @t602))))) % 37.95/38.18 (assume @p849 (forall @t21 (=> @t604 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t18 @t18) @t18)))) % 37.95/38.18 (assume @p850 (forall @t283 (=> @t604 (= @t906 (tptp.c_Polynomial_Opoly__gcd @t16 @t128 @t32))))) % 37.95/38.18 (assume @p851 (forall @t133 (=> @t604 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t128 (tptp.c_Polynomial_Opoly__gcd @t16 @t32 @t80)) @t907)))) % 37.95/38.18 (assume @p852 (forall @t140 (=> @t604 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t906 @t80) @t907)))) % 37.95/38.18 (assume @p853 (forall @t478 (=> @t604 @t908))) % 37.95/38.18 (assume @p854 (forall @t478 (=> @t604 (and (=> @t774 (= @t901 @t909)) @t908)))) % 37.95/38.18 (assume @p855 (forall @t288 (=> @t810 (=> (forall @t101 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t100) (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t100 @t628) (tptp.c_Orderings_Oord__class_Oless__eq @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t100 @t69) @t77)))) @t467)))) % 37.95/38.18 (assume @p856 (forall @t283 (=> @t811 (=> @t314 (=> @t565 @t912))))) % 37.95/38.18 (assume @p857 (forall @t283 (=> @t811 (=> @t314 (=> @t556 @t912))))) % 37.95/38.18 (assume @p858 (forall @t283 (=> @t811 (=> @t913 (=> @t565 @t376))))) % 37.95/38.18 (assume @p859 (forall @t283 (=> @t811 (=> @t913 (=> @t556 @t376))))) % 37.95/38.18 (assume @p860 (forall @t61 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t915 @t628) (or @t914 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t628 @t59)))))) % 37.95/38.18 (assume @p861 (forall @t283 (=> @t780 (=> @t180 (=> @t433 (= @t916 (tptp.c_Groups_Otimes__class_Otimes @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t910 @t135) @t911))))))) % 37.95/38.18 (assume @p862 (forall @t283 (=> @t604 (=> @t180 (=> @t433 (= @t916 (tptp.c_Groups_Otimes__class_Otimes @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t135 @t910) @t911))))))) % 37.95/38.18 (assume @p863 (forall @t61 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t628 @t915) (and @t917 (tptp.c_Orderings_Oord__class_Oless @t16 @t59 @t628)))))) % 37.95/38.18 (assume @p864 (forall @t91 (=> @t811 (=> @t565 (=> (tptp.c_Orderings_Oord__class_Oless @t16 @t32 @t628) (tptp.c_Orderings_Oord__class_Oless @t16 @t628 @t910)))))) % 37.95/38.18 (assume @p865 (forall @t283 (=> @t780 (=> @t180 (=> @t433 (= @t918 (tptp.c_Groups_Otimes__class_Otimes @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t910 @t741) @t911))))))) % 37.95/38.18 (assume @p866 (forall @t91 (=> @t780 (=> @t180 (= (tptp.c_Groups_Otimes__class_Otimes @t16 @t32 @t910) @t628))))) % 37.95/38.18 (assume @p867 (forall @t91 (=> @t780 @t919))) % 37.95/38.18 (assume @p868 (forall @t91 (=> @t604 @t919))) % 37.95/38.18 (assume @p869 (forall @t91 (=> @t780 (=> @t180 @t920)))) % 37.95/38.18 (assume @p870 (forall @t91 (=> @t604 @t920))) % 37.95/38.18 (assume @p871 (forall @t91 (=> @t780 @t920))) % 37.95/38.18 (assume @p872 (forall @t283 (=> @t780 @t921))) % 37.95/38.18 (assume @p873 (forall @t283 (=> @t780 (=> (= @t282 @t628) (= @t910 @t128))))) % 37.95/38.18 (assume @p874 (forall @t283 (=> @t786 (=> @t922 @t360)))) % 37.95/38.18 (assume @p875 (forall @t399 (=> @t786 (= (= @t923 (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t46)) @t47)))) % 37.95/38.18 (assume @p876 (forall @t91 (=> @t786 @t924))) % 37.95/38.18 (assume @p877 (forall @t283 (=> @t780 (=> @t922 (=> @t180 (=> @t433 @t360)))))) % 37.95/38.18 (assume @p878 (forall @t91 (=> @t780 (=> @t925 @t179)))) % 37.95/38.18 (assume @p879 (forall @t91 (=> @t780 (=> @t180 @t924)))) % 37.95/38.18 (assume @p880 (forall @t91 (=> @t780 (=> @t180 (not @t925))))) % 37.95/38.18 (assume @p881 (forall @t193 (=> @t786 (= (= @t923 @t19) @t25)))) % 37.95/38.18 (assume @p882 (forall @t21 (=> @t786 @t926))) % 37.95/38.18 (assume @p883 (forall @t283 (=> @t780 (=> @t180 (=> @t433 (= @t927 (tptp.c_Groups_Otimes__class_Otimes @t16 @t911 @t910))))))) % 37.95/38.18 (assume @p884 (forall @t21 (=> @t780 (= (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t628) @t628)))) % 37.95/38.18 (assume @p885 (forall @t61 (=> @t815 (= (= @t915 @t628) @t678)))) % 37.95/38.18 (assume @p886 (forall @t283 (=> @t815 (= @t927 (tptp.c_Groups_Otimes__class_Otimes @t16 @t910 @t911))))) % 37.95/38.18 (assume @p887 (forall @t21 (=> @t815 @t926))) % 37.95/38.18 (assume @p888 (forall @t91 (=> @t780 (=> @t180 @t928)))) % 37.95/38.18 (assume @p889 (forall @t193 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t19 @t923) @t578)))) % 37.95/38.18 (assume @p890 (forall @t193 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t923 @t19) @t572)))) % 37.95/38.18 (assume @p891 (forall @t91 (=> @t811 (=> @t565 @t929)))) % 37.95/38.18 (assume @p892 (forall @t91 (=> @t811 (=> @t929 (=> @t180 @t565))))) % 37.95/38.18 (assume @p893 (forall @t91 (=> @t811 (=> @t557 @t930)))) % 37.95/38.18 (assume @p894 (forall @t283 (=> @t811 (=> @t503 (=> @t565 @t931))))) % 37.95/38.18 (assume @p895 (forall @t283 (=> @t811 (=> @t503 (=> @t556 @t931))))) % 37.95/38.18 (assume @p896 (forall @t91 (=> @t811 (=> @t930 (=> @t180 @t557))))) % 37.95/38.18 (assume @p897 (forall @t283 (=> @t811 (=> @t932 (=> @t565 @t502))))) % 37.95/38.18 (assume @p898 (forall @t283 (=> @t811 (=> @t932 (=> @t556 @t502))))) % 37.95/38.18 (assume @p899 (forall @t283 (=> @t815 (= (tptp.c_Rings_Oinverse__class_Oinverse @t16 @t783) (tptp.c_Rings_Oinverse__class_Odivide @t16 @t128 @t32))))) % 37.95/38.18 (assume @p900 (forall @t283 (=> @t604 @t921))) % 37.95/38.18 (assume @p901 (forall @t193 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t923 @t19) @t369)))) % 37.95/38.18 (assume @p902 (forall @t193 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t19 @t923) @t368)))) % 37.95/38.18 (assume @p903 (forall @t91 (=> @t786 @t928))) % 37.95/38.18 (assume @p904 (forall (@list @t197 @t87 @t77 @t69 @t32 @t16) (=> @t604 (=> @t180 (=> @t621 (tptp.c_Polynomial_Opdivmod__rel @t16 @t69 @t874 (tptp.c_Polynomial_Osmult @t16 @t910 @t87) @t197)))))) % 37.95/38.18 (assume @p905 (forall @t91 (=> @t811 (=> @t565 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t32 @t628) (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t628 @t910)))))) % 37.95/38.18 (assume @p906 (forall @t61 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless @t16 @t915 @t628) (or @t914 (tptp.c_Orderings_Oord__class_Oless @t16 @t628 @t59)))))) % 37.95/38.18 (assume @p907 (forall @t61 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t628 @t915) (and @t917 (tptp.c_Orderings_Oord__class_Oless__eq @t16 @t59 @t628)))))) % 37.95/38.18 (assume @p908 (forall @t283 (=> @t780 (=> @t180 (=> @t433 (= @t918 (tptp.c_Groups_Ouminus__class_Ouminus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t910 @t655) @t911)))))))) % 37.95/38.18 (assume @p909 (forall (@list @t34 @t128 @t32 @t16) (=> @t779 (=> @t180 (=> @t433 (= (tptp.c_Rings_Oinverse__class_Odivide @t16 @t918 @t34) (tptp.c_Groups_Ouminus__class_Ouminus @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 (tptp.c_Groups_Otimes__class_Otimes @t16 @t910 (tptp.c_Rings_Oinverse__class_Odivide @t16 @t655 @t34)) @t911)))))))) % 37.95/38.18 (assume @p910 (forall @t70 (=> @t604 (= (tptp.c_Polynomial_Opoly__gcd @t16 @t69 @t18) @t909)))) % 37.95/38.18 (assume @p911 (forall @t108 (=> @t64 (= (= (tptp.hAPP @t63 @t107) @t19) (tptp.c_Rings_Odvd__class_Odvd @t17 (tptp.c_Polynomial_OpCons @t16 @t933 @t652) @t22))))) % 37.95/38.18 (assume @p912 (forall (@list @t22 @t107 @t16) (=> @t64 (= (tptp.c_Rings_Odvd__class_Odvd @t17 (tptp.c_Polynomial_OpCons @t16 @t107 @t652) @t22) (= (tptp.hAPP @t63 @t933) @t19))))) % 37.95/38.18 (assume @p913 (forall @t91 (=> @t237 (tptp.c_Rings_Odvd__class_Odvd @t16 @t32 @t19)))) % 37.95/38.18 (assume @p914 (forall @t288 (=> @t604 (tptp.c_Rings_Odvd__class_Odvd @t17 @t901 @t77)))) % 37.95/38.18 (assume @p915 (forall @t288 (=> @t604 (tptp.c_Rings_Odvd__class_Odvd @t17 @t901 @t69)))) % 37.95/38.18 (assume @p916 (forall @t164 (=> @t738 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t748 @t161) @t934)))) % 37.95/38.18 (assume @p917 (forall @t164 (=> @t738 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t59 @t806) @t934)))) % 37.95/38.18 (assume @p918 (forall @t302 (=> @t738 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t69 @t77) (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t69 @t221) (tptp.c_Rings_Odvd__class_Odvd @t16 @t69 (tptp.c_Groups_Ominus__class_Ominus @t16 @t77 @t221))))))) % 37.95/38.18 (assume @p919 (forall @t91 (=> @t237 (tptp.c_Rings_Odvd__class_Odvd @t16 @t628 @t32)))) % 37.95/38.18 (assume @p920 (forall @t327 (=> @t64 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t305 @t303) @t936)))) % 37.95/38.18 (assume @p921 (forall @t325 (=> @t64 (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t562 @t561) @t936)))) % 37.95/38.18 (assume @p922 (forall @t91 (=> @t237 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t19 @t32) @t179)))) % 37.95/38.18 (assume @p923 (forall @t140 (=> @t237 (=> @t938 @t937)))) % 37.95/38.18 (assume @p924 (forall @t140 (=> @t237 (=> @t938 @t939)))) % 37.95/38.18 (assume @p925 (forall (@list @t224 @t128 @t32 @t16) (=> @t940 (=> (= @t32 (tptp.c_Groups_Otimes__class_Otimes @t16 @t128 @t224)) (tptp.c_Rings_Odvd__class_Odvd @t16 @t128 @t32))))) % 37.95/38.18 (assume @p926 (forall @t238 (=> @t237 (=> @t941 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t80 @t234) (tptp.c_Rings_Odvd__class_Odvd @t16 @t308 @t436)))))) % 37.95/38.18 (assume @p927 (forall @t320 (=> @t237 (=> @t939 @t942)))) % 37.95/38.18 (assume @p928 (forall @t140 (=> @t237 (=> @t941 @t942)))) % 37.95/38.18 (assume @p929 (forall @t283 (=> @t237 (tptp.c_Rings_Odvd__class_Odvd @t16 @t32 @t281)))) % 37.95/38.18 (assume @p930 (forall @t283 (=> @t237 (tptp.c_Rings_Odvd__class_Odvd @t16 @t32 @t282)))) % 37.95/38.18 (assume @p931 (forall @t140 (=> @t237 (=> @t941 (=> @t939 (tptp.c_Rings_Odvd__class_Odvd @t16 @t32 @t158)))))) % 37.95/38.18 (assume @p932 (forall @t166 (=> @t237 (=> @t944 @t943)))) % 37.95/38.18 (assume @p933 (forall @t946 (=> @t237 (=> @t943 @t945)))) % 37.95/38.18 (assume @p934 (forall @t91 (=> @t237 (tptp.c_Rings_Odvd__class_Odvd @t16 @t32 @t32)))) % 37.95/38.18 (assume @p935 (forall @t140 (=> @t237 (=> @t941 (=> @t937 @t939))))) % 37.95/38.18 (assume @p936 (forall @t297 (=> @t64 (=> (= @t181 @t354) (=> @t943 (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t87 @t81) (= @t81 @t87))))))) % 37.95/38.18 (assume @p937 (forall @t949 (=> @t604 (=> @t948 (= (tptp.c_Rings_Odvd__class_Odvd @t17 @t22 (tptp.c_Polynomial_Osmult @t16 @t24 @t44)) @t947))))) % 37.95/38.18 (assume @p938 (forall @t946 (=> @t604 (=> @t943 (=> @t180 @t944))))) % 37.95/38.18 (assume @p939 (forall @t259 (=> @t604 (=> @t945 (=> @t180 @t943))))) % 37.95/38.18 (assume @p940 (forall (@list @t77 @t69 @t224 @t16) (=> @t604 (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t224 @t69) (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t224 @t77) (tptp.c_Rings_Odvd__class_Odvd @t17 @t224 @t901)))))) % 37.95/38.18 (assume @p941 (forall (@list @t161 @t59 @t228 @t16) (=> @t604 (= (tptp.c_Rings_Odvd__class_Odvd @t17 @t228 @t905) (and (tptp.c_Rings_Odvd__class_Odvd @t17 @t228 @t59) (tptp.c_Rings_Odvd__class_Odvd @t17 @t228 @t161)))))) % 37.95/38.18 (assume @p942 (forall @t399 (=> @t877 (= @t935 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t46 @t24) @t19))))) % 37.95/38.18 (assume @p943 (forall @t283 (=> @t877 (=> @t941 (= (tptp.c_Divides_Odiv__class_Omod @t16 @t128 @t32) @t19))))) % 37.95/38.18 (assume @p944 (forall (@list @t202 @t95 @t228 @t16) (=> @t877 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t228 @t95) (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t228 (tptp.c_Divides_Odiv__class_Omod @t16 @t202 @t95)) (tptp.c_Rings_Odvd__class_Odvd @t16 @t228 @t202)))))) % 37.95/38.18 (assume @p945 (forall @t378 (=> @t877 (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t80 @t128) (= (tptp.c_Divides_Odiv__class_Omod @t16 @t876 @t80) @t891))))) % 37.95/38.18 (assume @p946 (forall @t953 (=> @t877 (=> @t952 (=> @t951 @t950))))) % 37.95/38.18 (assume @p947 (forall @t953 (=> @t877 (=> @t950 (=> @t951 @t952))))) % 37.95/38.18 (assume @p948 (forall @t949 (=> @t604 (= (tptp.c_Rings_Odvd__class_Odvd @t17 @t199 @t44) (and (=> @t25 @t603) (=> @t948 @t947)))))) % 37.95/38.18 (assume @p949 (forall @t297 (=> @t64 (=> @t943 (=> @t389 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t177 @t294)))))) % 37.95/38.18 (assume @p950 (forall (@list @t954 @t955 @t304 @t16) (=> (and @t679 @t940) (=> (tptp.c_Rings_Odvd__class_Odvd @t16 @t304 @t955) (forall (@list @t3 @t349) (= (tptp.c_Rings_Odvd__class_Odvd @t16 @t304 (tptp.c_Groups_Oplus__class_Oplus @t16 @t3 @t954)) (tptp.c_Rings_Odvd__class_Odvd @t16 @t304 (tptp.c_Groups_Oplus__class_Oplus @t16 (tptp.c_Groups_Ominus__class_Ominus @t16 @t3 (tptp.c_Groups_Otimes__class_Otimes @t16 @t349 @t955)) @t954)))))))) % 37.95/38.18 (assume @p951 (forall (@list @t224) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t200 @t224))) % 37.95/38.18 (assume @p952 (forall @t420 (=> @t958 (=> @t957 (=> @t262 @t956))))) % 37.95/38.18 (assume @p953 (forall @t420 (=> @t958 (=> @t956 (=> @t262 @t957))))) % 37.95/38.18 (assume @p954 (forall @t420 (=> @t956 (=> @t957 @t958)))) % 37.95/38.18 (assume @p955 (forall @t959 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t202 @t674) @t676))) % 37.95/38.18 (assume @p956 (forall (@list @t95 @t228) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t228 @t232) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t228 @t95)))) % 37.95/38.18 (assume @p957 (forall @t231 (= @t961 (or @t408 @t960)))) % 37.95/38.18 (assume @p958 (forall @t220 (=> @t704 (=> @t491 (not @t962))))) % 37.95/38.18 (assume @p959 (forall @t959 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t202 @t200) @t205))) % 37.95/38.18 (assume @p960 (forall (@list @t97 @t224) (=> @t957 (=> @t532 @t336)))) % 37.95/38.18 (assume @p961 (forall @t231 (=> @t548 (= @t961 @t960)))) % 37.95/38.18 (assume @p962 (forall @t420 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t419 @t418) (=> @t584 @t963)))) % 37.95/38.18 (assume @p963 (forall @t208 (=> @t582 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t407 @t202) @t675)))) % 37.95/38.18 (assume @p964 (forall @t208 (=> @t582 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat @t95 @t202) @t202) @t675)))) % 37.95/38.18 (assume @p965 (forall (@list @t444 @t93 @t16) (=> (and @t940 (tptp.class_Rings_Osemiring__0 @t16)) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t93 (tptp.c_Groups_Otimes__class_Otimes @t16 @t444 @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t16 @t444 (tptp.c_Groups_Oplus__class_Oplus @t16 @t3 @t19)) (tptp.hBOOL (tptp.hAPP @t93 @t3)))))))) % 37.95/38.18 (assume @p966 (forall (@list @t77 @t69 @t234 @t16) (=> @t604 (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t234 @t69) (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t234 @t77) (=> (forall @t351 (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t349 @t69) (=> (tptp.c_Rings_Odvd__class_Odvd @t17 @t349 @t77) (tptp.c_Rings_Odvd__class_Odvd @t17 @t349 @t234)))) (=> (and (=> @t903 (= @t964 @t19)) (=> @t904 (= @t964 @t628))) (= @t901 @t234)))))))) % 37.95/38.18 (assume @p967 (forall @t188 (=> @t64 (=> @t182 (not (tptp.c_Rings_Odvd__class_Odvd @t17 (tptp.c_Power_Opower__class_Opower @t17 (tptp.c_Polynomial_OpCons @t16 @t745 @t652) (tptp.c_Nat_OSuc @t261)) @t81)))))) % 37.95/38.18 (assume @p968 (forall @t599 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t69 @t69))) % 37.95/38.18 (assume @p969 (forall @t967 (= @t162 (and @t966 @t965)))) % 37.95/38.18 (assume @p970 (forall @t967 (= @t966 (or @t968 @t162)))) % 37.95/38.18 (assume @p971 (forall @t967 (= @t968 (and @t966 @t494)))) % 37.95/38.18 (assume @p972 (forall @t971 (=> @t522 (=> @t969 @t970)))) % 37.95/38.18 (assume @p973 (forall @t247 (=> @t246 @t972))) % 37.95/38.18 (assume @p974 (forall (@list @t59 @t161) (=> @t965 (= @t966 @t162)))) % 37.95/38.18 (assume @p975 (forall @t247 (=> @t972 (or @t974 @t246)))) % 37.95/38.18 (assume @p976 (forall @t971 (=> @t969 (=> @t522 @t970)))) % 37.95/38.18 (assume @p977 (forall @t709 (=> @t360 (=> @t976 @t975)))) % 37.95/38.18 (assume @p978 (forall @t709 (=> @t969 (=> @t129 @t975)))) % 37.95/38.18 (assume @p979 (forall @t220 (=> @t963 (=> @t962 @t121)))) % 37.95/38.18 (assume @p980 (forall @t247 (=> @t972 (=> @t973 @t246)))) % 37.95/38.18 (assume @p981 (forall @t223 (=> @t972 (=> @t978 @t977)))) % 37.95/38.18 (assume @p982 (forall @t709 (=> @t360 (=> (and @t976 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t80 @t128))) (and @t975 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t80 @t32))))))) % 37.95/38.18 (assume @p983 (forall @t223 (=> @t972 (=> (and @t978 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t221 @t77))) (and @t977 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t221 @t69))))))) % 37.95/38.18 (assume @p984 (forall @t247 (=> @t974 @t500))) % 37.95/38.18 (assume @p985 (forall @t982 (=> @t981 (tptp.class_Groups_Ocancel__comm__monoid__add @t980)))) % 37.95/38.18 (assume @p986 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p987 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool)) % 37.95/38.18 (assume @p988 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p989 (forall @t986 (=> (and @t985 (tptp.class_Enum_Oenum @t979)) (tptp.class_Enum_Oenum @t984)))) % 37.95/38.18 (assume @p990 (forall @t987 (=> (tptp.class_Lattices_Oboolean__algebra @t979) (tptp.class_Lattices_Oboolean__algebra @t984)))) % 37.95/38.18 (assume @p991 (forall @t987 (=> (tptp.class_Orderings_Opreorder @t979) (tptp.class_Orderings_Opreorder @t984)))) % 37.95/38.18 (assume @p992 (forall @t987 (=> (tptp.class_Orderings_Oorder @t979) (tptp.class_Orderings_Oorder @t984)))) % 37.95/38.18 (assume @p993 (forall @t987 (=> (tptp.class_Orderings_Oord @t979) (tptp.class_Orderings_Oord @t984)))) % 37.95/38.18 (assume @p994 (forall @t987 (=> (tptp.class_Groups_Ouminus @t979) (tptp.class_Groups_Ouminus @t984)))) % 37.95/38.18 (assume @p995 (forall @t987 (=> (tptp.class_Groups_Ominus @t979) (tptp.class_Groups_Ominus @t984)))) % 37.95/38.18 (assume @p996 (forall @t986 (=> (and @t985 @t988) (tptp.class_HOL_Oequal @t984)))) % 37.95/38.18 (assume @p997 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p998 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p999 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1000 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1001 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1002 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1003 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1004 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1005 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1006 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1007 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1008 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1009 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1010 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1011 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1012 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1013 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1014 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1015 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1016 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1017 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1018 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1019 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1020 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1021 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1022 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1023 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1024 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1025 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1026 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1027 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1028 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1029 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1030 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1031 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1032 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1033 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1034 (tptp.class_HOL_Oequal tptp.tc_Nat_Onat)) % 37.95/38.18 (assume @p1035 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 37.95/38.18 (assume @p1036 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 37.95/38.18 (assume @p1037 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 37.95/38.18 (assume @p1038 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 37.95/38.18 (assume @p1039 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 37.95/38.18 (assume @p1040 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 37.95/38.18 (assume @p1041 (tptp.class_HOL_Oequal tptp.tc_HOL_Obool)) % 37.95/38.18 (assume @p1042 @t989) % 37.95/38.18 (assume @p1043 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1044 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1045 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1046 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1047 @t990) % 37.95/38.18 (assume @p1048 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1049 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1050 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1051 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1052 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1053 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1054 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1055 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1056 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1057 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1058 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1059 @t991) % 37.95/38.18 (assume @p1060 @t992) % 37.95/38.18 (assume @p1061 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1062 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1063 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1064 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1065 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1066 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1067 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1068 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1069 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1070 @t993) % 37.95/38.18 (assume @p1071 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1072 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1073 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1074 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1075 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1076 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1077 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1078 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1079 @t994) % 37.95/38.18 (assume @p1080 @t995) % 37.95/38.18 (assume @p1081 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1082 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1083 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1084 (tptp.class_HOL_Oequal tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (assume @p1085 (forall @t982 (=> @t996 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t980)))) % 37.95/38.18 (assume @p1086 (forall @t982 (=> @t997 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t980)))) % 37.95/38.18 (assume @p1087 (forall @t982 (=> @t997 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t980)))) % 37.95/38.18 (assume @p1088 (forall @t982 (=> @t997 (tptp.class_Rings_Olinordered__comm__semiring__strict @t980)))) % 37.95/38.18 (assume @p1089 (forall @t982 (=> @t997 (tptp.class_Rings_Olinordered__semiring__1__strict @t980)))) % 37.95/38.18 (assume @p1090 (forall @t982 (=> @t997 (tptp.class_Rings_Olinordered__semiring__strict @t980)))) % 37.95/38.18 (assume @p1091 (forall @t982 (=> @t997 (tptp.class_Groups_Oordered__ab__semigroup__add @t980)))) % 37.95/38.18 (assume @p1092 (forall @t982 (=> @t997 (tptp.class_Groups_Oordered__comm__monoid__add @t980)))) % 37.95/38.18 (assume @p1093 (forall @t982 (=> @t997 (tptp.class_Groups_Olinordered__ab__group__add @t980)))) % 37.95/38.18 (assume @p1094 (forall @t982 (=> @t981 (tptp.class_Groups_Ocancel__ab__semigroup__add @t980)))) % 37.95/38.18 (assume @p1095 (forall @t982 (=> @t996 (tptp.class_Rings_Oring__1__no__zero__divisors @t980)))) % 37.95/38.18 (assume @p1096 (forall @t982 (=> @t997 (tptp.class_Rings_Oordered__cancel__semiring @t980)))) % 37.95/38.18 (assume @p1097 (forall @t982 (=> @t997 (tptp.class_Rings_Olinordered__ring__strict @t980)))) % 37.95/38.18 (assume @p1098 (forall @t982 (=> @t996 (tptp.class_Rings_Oring__no__zero__divisors @t980)))) % 37.95/38.18 (assume @p1099 (forall @t982 (=> @t997 (tptp.class_Rings_Oordered__comm__semiring @t980)))) % 37.95/38.18 (assume @p1100 (forall @t982 (=> @t997 (tptp.class_Rings_Olinordered__semiring__1 @t980)))) % 37.95/38.18 (assume @p1101 (forall @t982 (=> @t997 (tptp.class_Groups_Oordered__ab__group__add @t980)))) % 37.95/38.18 (assume @p1102 (forall @t982 (=> @t981 (tptp.class_Groups_Ocancel__semigroup__add @t980)))) % 37.95/38.18 (assume @p1103 (forall @t982 (=> @t997 (tptp.class_Rings_Olinordered__semiring @t980)))) % 37.95/38.18 (assume @p1104 (forall @t982 (=> @t997 (tptp.class_Rings_Olinordered__semidom @t980)))) % 37.95/38.18 (assume @p1105 (forall @t982 (=> @t998 (tptp.class_Groups_Oab__semigroup__mult @t980)))) % 37.95/38.18 (assume @p1106 (forall @t982 (=> @t999 (tptp.class_Groups_Ocomm__monoid__mult @t980)))) % 37.95/38.18 (assume @p1107 (forall @t982 (=> @t1000 (tptp.class_Groups_Oab__semigroup__add @t980)))) % 37.95/38.18 (assume @p1108 (forall @t982 (=> @t997 (tptp.class_Rings_Oordered__semiring @t980)))) % 37.95/38.18 (assume @p1109 (forall @t982 (=> @t996 (tptp.class_Rings_Ono__zero__divisors @t980)))) % 37.95/38.18 (assume @p1110 (forall @t982 (=> @t1000 (tptp.class_Groups_Ocomm__monoid__add @t980)))) % 37.95/38.18 (assume @p1111 (forall @t982 (=> @t997 (tptp.class_Rings_Olinordered__ring @t980)))) % 37.95/38.18 (assume @p1112 (forall @t982 (=> @t997 (tptp.class_Rings_Olinordered__idom @t980)))) % 37.95/38.18 (assume @p1113 (forall @t982 (=> @t999 (tptp.class_Rings_Ocomm__semiring__1 @t980)))) % 37.95/38.18 (assume @p1114 (forall @t982 (=> @t998 (tptp.class_Rings_Ocomm__semiring__0 @t980)))) % 37.95/38.18 (assume @p1115 (forall @t982 (=> @t1001 (tptp.class_Divides_Osemiring__div @t980)))) % 37.95/38.18 (assume @p1116 (forall @t982 (=> @t998 (tptp.class_Rings_Ocomm__semiring @t980)))) % 37.95/38.18 (assume @p1117 (forall @t982 (=> @t1002 (tptp.class_Groups_Oab__group__add @t980)))) % 37.95/38.18 (assume @p1118 (forall @t982 (=> @t999 (tptp.class_Rings_Ozero__neq__one @t980)))) % 37.95/38.18 (assume @p1119 (forall @t982 (=> @t997 (tptp.class_Rings_Oordered__ring @t980)))) % 37.95/38.18 (assume @p1120 (forall @t982 (=> @t997 (tptp.class_Orderings_Opreorder @t980)))) % 37.95/38.18 (assume @p1121 (forall @t982 (=> @t997 (tptp.class_Orderings_Olinorder @t980)))) % 37.95/38.18 (assume @p1122 (forall @t982 (=> @t999 (tptp.class_Groups_Omonoid__mult @t980)))) % 37.95/38.18 (assume @p1123 (forall @t982 (=> @t1003 (tptp.class_Rings_Ocomm__ring__1 @t980)))) % 37.95/38.18 (assume @p1124 (forall @t982 (=> @t1000 (tptp.class_Groups_Omonoid__add @t980)))) % 37.95/38.18 (assume @p1125 (forall @t982 (=> @t998 (tptp.class_Rings_Osemiring__0 @t980)))) % 37.95/38.18 (assume @p1126 (forall @t982 (=> @t1002 (tptp.class_Groups_Ogroup__add @t980)))) % 37.95/38.18 (assume @p1127 (forall @t982 (=> @t1001 (tptp.class_Divides_Oring__div @t980)))) % 37.95/38.18 (assume @p1128 (forall @t982 (=> @t998 (tptp.class_Rings_Omult__zero @t980)))) % 37.95/38.18 (assume @p1129 (forall @t982 (=> @t1004 (tptp.class_Rings_Ocomm__ring @t980)))) % 37.95/38.18 (assume @p1130 (forall @t982 (=> @t997 (tptp.class_Orderings_Oorder @t980)))) % 37.95/38.18 (assume @p1131 (forall @t982 (=> @t997 (tptp.class_Int_Oring__char__0 @t980)))) % 37.95/38.18 (assume @p1132 (forall @t982 (=> @t998 (tptp.class_Rings_Osemiring @t980)))) % 37.95/38.18 (assume @p1133 (forall @t982 (=> @t997 (tptp.class_Orderings_Oord @t980)))) % 37.95/38.18 (assume @p1134 (forall @t982 (=> @t1002 (tptp.class_Groups_Ouminus @t980)))) % 37.95/38.18 (assume @p1135 (forall @t982 (=> @t997 (tptp.class_Groups_Osgn__if @t980)))) % 37.95/38.18 (assume @p1136 (forall @t982 (=> @t1003 (tptp.class_Rings_Oring__1 @t980)))) % 37.95/38.18 (assume @p1137 (forall @t982 (=> @t1002 (tptp.class_Groups_Ominus @t980)))) % 37.95/38.18 (assume @p1138 (forall @t982 (=> @t1005 (tptp.class_Groups_Ozero @t980)))) % 37.95/38.18 (assume @p1139 (forall @t982 (=> @t1004 (tptp.class_Rings_Oring @t980)))) % 37.95/38.18 (assume @p1140 (forall @t982 (=> @t996 (tptp.class_Rings_Oidom @t980)))) % 37.95/38.18 (assume @p1141 (forall @t982 (=> @t999 (tptp.class_Groups_Oone @t980)))) % 37.95/38.18 (assume @p1142 (forall @t982 (=> @t999 (tptp.class_Rings_Odvd @t980)))) % 37.95/38.18 (assume @p1143 (forall @t982 (=> (and @t1005 @t988) (tptp.class_HOL_Oequal @t980)))) % 37.95/38.18 (assume @p1144 (forall @t967 (or (not @t1006) @t162))) % 37.95/38.18 (assume @p1145 (forall @t967 (or @t494 @t1006))) % 37.95/38.18 (assume @p1146 (not (tptp.hBOOL tptp.c_fFalse))) % 37.95/38.18 (assume @p1147 (tptp.hBOOL tptp.c_fTrue)) % 37.95/38.18 (assume @p1148 @t1008) % 37.95/38.18 (assume @p1149 true) % 37.95/38.18 (step @p1150 :rule bool-impl-elim :args (@t20 @t1009)) % 37.95/38.18 (step @p1151 :rule cong :premises (@p1150) :args ((forall @t30 (=> @t20 @t1009)))) % 37.95/38.18 (step @p1152 :rule eq-symm :args (@t22 @t18)) % 37.95/38.18 (step @p1153 :rule eq-symm :args (@t24 @t19)) % 37.95/38.18 (step @p1154 :rule nary_cong :premises (@p1153 @p1152) :args (@t26)) % 37.95/38.18 (step @p1155 :rule eq-symm :args (@t27 @t18)) % 37.95/38.18 (step @p1156 :rule cong :premises (@p1155 @p1154) :args (@t28)) % 37.95/38.18 (step @p1157 :rule refl :args (@t20)) % 37.95/38.18 (step @p1158 :rule cong :premises (@p1157 @p1156) :args (@t29)) % 37.95/38.18 (step @p1159 :rule cong :premises (@p1158) :args (@t31)) % 37.95/38.18 (step @p1160 :rule trans :premises (@p1159 @p1151)) % 37.95/38.18 (step @p1161 :rule eq_resolve :premises (@p5 @p1160)) % 37.95/38.18 (step @p1162 :rule eq-symm :args (@t1011 @t37)) % 37.95/38.18 (step @p1163 :rule aci_norm :args ((= (and true @t37) @t37))) % 37.95/38.18 (step @p1164 :rule eq-symm :args (@t36 tptp.v_ds____)) % 37.95/38.18 (step @p1165 :rule eq-refl :args (@t7)) % 37.95/38.18 (step @p1166 :rule nary_cong :premises (@p1165 @p1164) :args (@t1012)) % 37.95/38.18 (step @p1167 :rule trans :premises (@p1166 @p1163)) % 37.95/38.18 (step @p1168 :rule refl :args (@t1011)) % 37.95/38.18 (step @p1169 :rule cong :premises (@p1168 @p1167) :args (@t1013)) % 37.95/38.18 (step @p1170 :rule trans :premises (@p1169 @p1162)) % 37.95/38.18 (step @p1171 :rule refl :args (@t1014)) % 37.95/38.18 (step @p1172 :rule nary_cong :premises (@p1171 @p1170) :args (@t1015)) % 37.95/38.18 (step @p1173 :rule refl :args (@t1016)) % 37.95/38.18 (step @p1174 :rule cong :premises (@p1173 @p1172) :args ((=> @t1016 @t1015))) % 37.95/38.18 (assume-push @p1522 @t1016) % 37.95/38.18 (step @p1176 :rule instantiate :premises (@p1161) :args ((@list tptp.v_ds____ @t7 tptp.tc_Complex_Ocomplex))) % 37.95/38.18 (step-pop @p1523 :rule scope :premises (@p1176)) % 37.95/38.18 (step @p1177 :rule process_scope :premises (@p1523) :args (@t1015)) % 37.95/38.18 (step @p1179 :rule eq_resolve :premises (@p1177 @p1174)) % 37.95/38.18 (step @p1180 :rule implies_elim :premises (@p1179)) % 37.95/38.18 (step @p1181 :rule chain_m_resolution :premises (@p1180 @p1161) :args (@t1018 @t1019 (@list @t1016))) % 37.95/38.18 (step @p1182 :rule cnf_or_pos :args (@t1018)) % 37.95/38.18 (step @p1183 :rule reordering :premises (@p1182) :args ((or @t1014 @t1017 (not @t1018)))) % 37.95/38.18 (step @p1184 :rule chain_m_resolution :premises (@p1183 @p1079 @p1181) :args (@t1017 @t1020 (@list @t994 @t1018))) % 37.95/38.18 (step @p1185 :rule eq-symm :args (@t1010 @t36)) % 37.95/38.18 (step @p1186 :rule cong :premises (@p1185) :args ((not (= @t1010 @t36)))) % 37.95/38.18 (step @p1187 :rule refl :args (@t36)) % 37.95/38.18 (step @p1188 :rule refl :args (tptp.v_ds____)) % 37.95/38.18 (step @p1189 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 37.95/38.18 (step @p1190 :rule cong :premises (@p1189 @p2 @p1188) :args (@t9)) % 37.95/38.18 (step @p1191 :rule cong :premises (@p1190 @p1187) :args (@t1007)) % 37.95/38.18 (step @p1192 :rule cong :premises (@p1191) :args (@t1008)) % 37.95/38.18 (step @p1193 :rule trans :premises (@p1192 @p1186)) % 37.95/38.18 (step @p1194 :rule eq_resolve :premises (@p1148 @p1193)) % 37.95/38.18 (step @p1195 :rule cnf_equiv_pos1 :args (@t1017)) % 37.95/38.18 (step @p1196 :rule reordering :premises (@p1195) :args ((or @t1011 @t1021 (not @t1017)))) % 37.95/38.18 (step @p1197 :rule chain_m_resolution :premises (@p1196 @p1194 @p1184) :args (@t1021 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chain_m_resolution :premises (@p1381 @p1368) :args (@t1098 @t1019 @t1099)) % 37.95/38.18 (step @p1383 :rule instantiate :premises (@p1297) :args ((@list @t76 tptp.v_cs____ tptp.v_c____ tptp.tc_Complex_Ocomplex))) % 37.95/38.18 (step @p1384 :rule cnf_or_pos :args (@t1101)) % 37.95/38.18 (step @p1385 :rule reordering :premises (@p1384) :args ((or @t1064 @t1100 (not @t1101)))) % 37.95/38.18 (step @p1386 :rule chain_m_resolution :premises (@p1385 @p1060 @p1383) :args (@t1100 @t1020 (@list @t992 @t1101))) % 37.95/38.18 (step @p1387 :rule instantiate :premises (@p22) :args ((@list @t76))) % 37.95/38.18 (step @p1388 :rule instantiate :premises (@p1297) :args ((@list @t7 tptp.v_cs____ tptp.v_c____ tptp.tc_Complex_Ocomplex))) % 37.95/38.18 (step @p1389 :rule cnf_or_pos :args (@t1103)) % 37.95/38.18 (step @p1390 :rule reordering :premises (@p1389) :args ((or @t1064 @t1102 (not @t1103)))) % 37.95/38.18 (step @p1391 :rule chain_m_resolution :premises (@p1390 @p1060 @p1388) :args (@t1102 @t1020 (@list @t992 @t1103))) % 37.95/38.18 (step @p1392 :rule symm :premises (@p1391)) % 37.95/38.18 (step @p1393 :rule trans :premises (@p1392 @p1387 @p1386)) % 37.95/38.18 (step @p1394 :rule cnf_or_pos :args (@t1098)) % 37.95/38.18 (step @p1395 :rule reordering :premises (@p1394) :args ((or @t1093 @t1090 @t1097 (not @t1098)))) % 37.95/38.18 (step @p1396 :rule chain_m_resolution :premises (@p1395 @p1047 @p1393 @p1382) :args (@t1090 @t1104 (@list @t990 @t1096 @t1098))) % 37.95/38.18 (step @p1397 :rule instantiate :premises (@p22) :args (@t1068)) % 37.95/38.18 (step @p1398 :rule symm :premises (@p1397)) % 37.95/38.18 (step @p1399 :rule instantiate :premises (@p1297) :args ((@list @t1030 tptp.v_cs____ tptp.v_c____ tptp.tc_Complex_Ocomplex))) % 37.95/38.18 (step @p1400 :rule cnf_or_pos :args (@t1108)) % 37.95/38.18 (step @p1401 :rule reordering :premises (@p1400) :args ((or @t1064 @t1107 (not @t1108)))) % 37.95/38.18 (step @p1402 :rule chain_m_resolution :premises (@p1401 @p1060 @p1399) :args (@t1107 @t1020 (@list @t992 @t1108))) % 37.95/38.18 (step @p1403 :rule symm :premises (@p1402)) % 37.95/38.18 (step @p1404 :rule bool-impl-elim :args (@t237 @t1109)) % 37.95/38.18 (step @p1405 :rule cong :premises (@p1404) :args ((forall @t242 (=> @t237 @t1109)))) % 37.95/38.18 (step @p1406 :rule eq-symm :args (@t134 @t130)) % 37.95/38.18 (step @p1407 :rule refl :args (@t237)) % 37.95/38.18 (step @p1408 :rule cong :premises (@p1407 @p1406) :args (@t241)) % 37.95/38.18 (step @p1409 :rule cong :premises (@p1408) :args (@t243)) % 37.95/38.18 (step @p1410 :rule trans :premises (@p1409 @p1405)) % 37.95/38.18 (step @p1411 :rule eq_resolve :premises (@p106 @p1410)) % 37.95/38.18 (step @p1412 :rule instantiate :premises (@p1411) :args ((@list tptp.v_c____ @t1105 tptp.tc_Complex_Ocomplex))) % 37.95/38.18 (step @p1413 :rule cnf_or_pos :args (@t1112)) % 37.95/38.18 (step @p1414 :rule reordering :premises (@p1413) :args ((or @t1111 @t1110 (not @t1112)))) % 37.95/38.18 (step @p1415 :rule chain_m_resolution :premises (@p1414 @p1059 @p1412) :args (@t1110 @t1020 (@list @t991 @t1112))) % 37.95/38.18 (step @p1416 :rule symm :premises (@p1415)) % 37.95/38.18 (step @p1417 :rule refl :args (tptp.v_c____)) % 37.95/38.18 (step @p1418 :rule eq-symm :args (@t1089 @t1105)) % 37.95/38.18 (step @p1419 :rule refl :args (@t1114)) % 37.95/38.18 (step @p1420 :rule nary_cong :premises (@p1372 @p1419 @p1418) :args (@t1115)) % 37.95/38.18 (step @p1421 :rule cong :premises (@p1374 @p1420) :args ((=> @t1095 @t1115))) % 37.95/38.18 (assume-push @p1526 @t1095) % 37.95/38.18 (step @p1423 :rule instantiate :premises (@p1368) :args ((@list @t1089 @t1105 tptp.v_c____ tptp.tc_Complex_Ocomplex))) % 37.95/38.18 (step-pop @p1527 :rule scope :premises (@p1423)) % 37.95/38.18 (step @p1424 :rule process_scope :premises (@p1527) :args (@t1115)) % 37.95/38.18 (step @p1426 :rule eq_resolve :premises (@p1424 @p1421)) % 37.95/38.18 (step @p1427 :rule implies_elim :premises (@p1426)) % 37.95/38.18 (step @p1428 :rule chain_m_resolution :premises (@p1427 @p1368) :args (@t1117 @t1019 @t1099)) % 37.95/38.18 (step @p1429 :rule trans :premises (@p1403 @p1398 @p1391)) % 37.95/38.18 (step @p1430 :rule cnf_or_pos :args (@t1117)) % 37.95/38.18 (step @p1431 :rule reordering :premises (@p1430) :args ((or @t1093 @t1114 @t1116 (not @t1117)))) % 37.95/38.18 (step @p1432 :rule chain_m_resolution :premises (@p1431 @p1047 @p1429 @p1428) :args (@t1116 @t1104 (@list @t990 @t1113 @t1117))) % 37.95/38.18 (step @p1433 :rule symm :premises (@p1432)) % 37.95/38.18 (step @p1434 :rule refl :args (@t1088)) % 37.95/38.18 (step @p1435 :rule symm :premises (@p1293)) % 37.95/38.18 (step @p1436 :rule bool-impl-elim :args (@t648 @t1118)) % 37.95/38.18 (step @p1437 :rule cong :premises (@p1436) :args ((forall @t91 (=> @t648 @t1118)))) % 37.95/38.18 (step @p1438 :rule eq-symm :args (@t763 @t745)) % 37.95/38.18 (step @p1439 :rule cong :premises (@p1285 @p1438) :args (@t764)) % 37.95/38.18 (step @p1440 :rule cong :premises (@p1439) :args (@t765)) % 37.95/38.18 (step @p1441 :rule trans :premises (@p1440 @p1437)) % 37.95/38.18 (step @p1442 :rule eq_resolve :premises (@p670 @p1441)) % 37.95/38.18 (step @p1443 :rule instantiate :premises (@p1442) :args (@t1072)) % 37.95/38.18 (step @p1444 :rule cnf_or_pos :args (@t1121)) % 37.95/38.18 (step @p1445 :rule reordering :premises (@p1444) :args ((or @t1059 @t1120 (not @t1121)))) % 37.95/38.18 (step @p1446 :rule chain_m_resolution :premises (@p1445 @p1070 @p1443) :args (@t1120 @t1020 (@list @t993 @t1121))) % 37.95/38.18 (step @p1447 :rule symm :premises (@p1446)) % 37.95/38.18 (step @p1448 :rule trans :premises (@p1447 @p1435)) % 37.95/38.18 (step @p1449 :rule cong :premises (@p1189 @p1448 @p1434) :args (@t1122)) % 37.95/38.18 (step @p1450 :rule trans :premises (@p1449 @p1433)) % 37.95/38.18 (step @p1451 :rule cong :premises (@p1189 @p1450 @p1417) :args (@t1123)) % 37.95/38.18 (step @p1452 :rule bool-impl-elim :args (@t691 @t694)) % 37.95/38.18 (step @p1453 :rule cong :premises (@p1452) :args (@t695)) % 37.95/38.18 (step @p1454 :rule eq_resolve :premises (@p551 @p1453)) % 37.95/38.18 (step @p1455 :rule bool-eq-true :args (@t1124)) % 37.95/38.18 (step @p1456 :rule eq-symm :args (true @t1124)) % 37.95/38.18 (step @p1457 :rule trans :premises (@p1456 @p1455)) % 37.95/38.18 (step @p1458 :rule refl :args (@t1124)) % 37.95/38.18 (step @p1459 :rule eq-refl :args (@t1125)) % 37.95/38.18 (step @p1460 :rule cong :premises (@p1459 @p1458) :args (@t1126)) % 37.95/38.18 (step @p1461 :rule trans :premises (@p1460 @p1457)) % 37.95/38.18 (step @p1462 :rule refl :args (@t1127)) % 37.95/38.18 (step @p1463 :rule nary_cong :premises (@p1462 @p1461) :args (@t1128)) % 37.95/38.18 (step @p1464 :rule refl :args (@t1129)) % 37.95/38.18 (step @p1465 :rule cong :premises (@p1464 @p1463) :args ((=> @t1129 @t1128))) % 37.95/38.18 (assume-push @p1528 @t1129) % 37.95/38.18 (step @p1467 :rule instantiate :premises (@p1454) :args ((@list tptp.v_c____ @t7 tptp.v_c____ @t1088 @t7 tptp.tc_Complex_Ocomplex))) % 37.95/38.18 (step-pop @p1529 :rule scope :premises (@p1467)) % 37.95/38.18 (step @p1468 :rule process_scope :premises (@p1529) :args (@t1128)) % 37.95/38.18 (step @p1470 :rule eq_resolve :premises (@p1468 @p1465)) % 37.95/38.18 (step @p1471 :rule implies_elim :premises (@p1470)) % 37.95/38.18 (step @p1472 :rule chain_m_resolution :premises (@p1471 @p1454) :args (@t1130 @t1019 (@list @t1129))) % 37.95/38.18 (step @p1473 :rule cnf_or_pos :args (@t1130)) % 37.95/38.18 (step @p1474 :rule reordering :premises (@p1473) :args ((or @t1127 @t1124 (not @t1130)))) % 37.95/38.18 (step @p1475 :rule chain_m_resolution :premises (@p1474 @p1080 @p1472) :args (@t1124 @t1020 (@list @t995 @t1130))) % 37.95/38.18 (step @p1476 :rule trans :premises (@p1475 @p1451 @p1416 @p1403 @p1398 @p1391)) % 37.95/38.18 (step @p1477 :rule trans :premises (@p1476 @p1393)) % 37.95/38.18 (step @p1478 :rule cong :premises (@p1189 @p1477 @p1396) :args (@t1091)) % 37.95/38.18 (step @p1479 :rule symm :premises (@p1387)) % 37.95/38.18 (step @p1480 :rule symm :premises (@p1386)) % 37.95/38.18 (step @p1481 :rule trans :premises (@p1480 @p1479 @p1391 @p1478)) % 37.95/38.18 (step @p1482 :rule cnf_equiv_pos1 :args (@t1080)) % 37.95/38.18 (step @p1483 :rule reordering :premises (@p1482) :args ((or @t1078 (not @t1079) (not @t1080)))) % 37.95/38.18 (step @p1484 :rule chain_m_resolution :premises (@p1483 @p1481 @p1352) :args (@t1078 @t1020 (@list @t1079 @t1080))) % 37.95/38.18 (step @p1485 :rule symm :premises (@p1484)) % 37.95/38.18 (step @p1486 :rule trans :premises (@p1432 @p1396 @p1485 @p1293)) % 37.95/38.18 (step @p1487 :rule cong :premises (@p1189 @p1435 @p1486) :args (@t1131)) % 37.95/38.18 (step @p1488 :rule trans :premises (@p1487 @p1336 @p1324 @p1301 @p1294)) % 37.95/38.18 (step @p1489 :rule bool-eq-false :args (@t1132)) % 37.95/38.18 (step @p1490 :rule symm :premises (@p1489)) % 37.95/38.18 (step @p1491 :rule eq-symm :args (@t1055 @t1031)) % 37.95/38.18 (step @p1492 :rule cong :premises (@p1491) :args ((not @t1133))) % 37.95/38.18 (step @p1493 :rule bool-eq-false :args (@t1133)) % 37.95/38.18 (step @p1494 :rule trans :premises (@p1493 @p1492)) % 37.95/38.18 (step @p1495 :rule trans :premises (@p1494 @p1490)) % 37.95/38.18 (step @p1496 :rule cnf_or_neg :args (@t1034 1)) % 37.95/38.18 (step @p1497 :rule chain_m_resolution :premises (@p1496 @p1216) :args ((not @t1032) @t1029 @t1035)) % 37.95/38.18 (step @p1498 :rule false_intro :premises (@p1497)) % 37.95/38.18 (step @p1499 :rule refl :args (@t1031)) % 37.95/38.18 (step @p1500 :rule refl :args (@t1134)) % 37.95/38.18 (step @p1501 :rule nary_cong :premises (@p1200 @p1500) :args ((or @t1026 @t1134))) % 37.95/38.18 (step @p1502 :rule bool-impl-elim :args (@t1025 @t1134)) % 37.95/38.18 (step @p1503 :rule trans :premises (@p1502 @p1501)) % 37.95/38.18 (step @p1504 :rule cong :premises (@p1503) :args ((forall @t14 (=> @t1025 @t1134)))) % 37.95/38.18 (step @p1505 :rule eq-symm :args (@t73 @t7)) % 37.95/38.18 (step @p1506 :rule cong :premises (@p1207 @p1505) :args (@t74)) % 37.95/38.18 (step @p1507 :rule cong :premises (@p1506) :args (@t75)) % 37.95/38.18 (step @p1508 :rule trans :premises (@p1507 @p1504)) % 37.95/38.18 (step @p1509 :rule eq_resolve :premises (@p20 @p1508)) % 37.95/38.18 (step @p1510 :rule instantiate :premises (@p1509) :args (@t1068)) % 37.95/38.18 (step @p1511 :rule cnf_or_pos :args (@t1136)) % 37.95/38.18 (step @p1512 :rule reordering :premises (@p1511) :args ((or @t1033 @t1135 (not @t1136)))) % 37.95/38.18 (step @p1513 :rule chain_m_resolution :premises (@p1512 @p1218 @p1510) :args (@t1135 @t1022 (@list @t1033 @t1136))) % 37.95/38.18 (step @p1514 :rule symm :premises (@p1513)) % 37.95/38.18 (step @p1515 :rule cong :premises (@p1514 @p1499) :args (@t1133)) % 37.95/38.18 (step @p1516 :rule trans :premises (@p1515 @p1498)) % 37.95/38.18 (step @p1517 :rule eq_resolve :premises (@p1516 @p1495)) % 37.95/38.18 (step @p1518 :rule false_elim :premises (@p1517)) % 37.95/38.18 (step @p1519 :rule cnf_or_pos :args (@t1139)) % 37.95/38.18 (step @p1520 :rule reordering :premises (@p1519) :args ((or @t1081 @t1033 @t1132 @t1138 (not @t1139)))) % 37.95/38.18 (step @p1521 false :rule chain_m_resolution :premises (@p1520 @p1518 @p1488 @p1280 @p1218 @p1042) :args (false (@list true false false true false) (@list @t1132 @t1137 @t1139 @t1033 @t989))) % 37.95/38.18 ) % 37.95/38.18 % SZS output end Proof % 37.95/38.18 % cvc5 exiting %------------------------------------------------------------------------------