%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW188+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:29 AM UTC 2026 % Result : Theorem 1.22s 1.46s % Output : Proof 1.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW188+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n003.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 21:37:59 EDT 2026 % 0.17/0.35 % CPUTime : % 0.46/0.74 %----Proving TF0_NAR, FOF, or CNF % 1.22/1.46 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.22/1.46 % SZS status Theorem % 1.22/1.46 % SZS output start Proof % 1.22/1.46 ( % 1.22/1.46 (declare-sort $$unsorted 0) % 1.22/1.46 (declare-const tptp.v_h $$unsorted) % 1.22/1.46 (declare-const tptp.v_p $$unsorted) % 1.22/1.46 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.v_a $$unsorted) % 1.22/1.46 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.22/1.46 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.c_fTrue $$unsorted) % 1.22/1.46 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.22/1.46 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.22/1.46 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.t_a $$unsorted) % 1.22/1.46 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_fFalse $$unsorted) % 1.22/1.46 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.22/1.46 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.46 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.22/1.46 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.22/1.46 (define @t3 () (@var "B_x" $$unsorted)) % 1.22/1.46 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.22/1.46 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.22/1.46 (define @t6 () (@list @t3)) % 1.22/1.46 (define @t7 () (@var "T_a" $$unsorted)) % 1.22/1.46 (define @t8 () (tptp.tc_Polynomial_Opoly @t7)) % 1.22/1.46 (define @t9 () (tptp.c_Groups_Ozero__class_Ozero @t8)) % 1.22/1.46 (define @t10 () (@var "V_h" $$unsorted)) % 1.22/1.46 (define @t11 () (tptp.class_Rings_Ocomm__semiring__0 @t7)) % 1.22/1.46 (define @t12 () (@var "V_a" $$unsorted)) % 1.22/1.46 (define @t13 () (tptp.c_Polynomial_OpCons @t7 @t12 @t9)) % 1.22/1.46 (define @t14 () (@var "T_b" $$unsorted)) % 1.22/1.46 (define @t15 () (tptp.tc_Polynomial_Opoly @t14)) % 1.22/1.46 (define @t16 () (tptp.c_Groups_Ozero__class_Ozero @t15)) % 1.22/1.46 (define @t17 () (@var "V_pa_2" $$unsorted)) % 1.22/1.46 (define @t18 () (= @t17 @t16)) % 1.22/1.46 (define @t19 () (@var "V_ha_2" $$unsorted)) % 1.22/1.46 (define @t20 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t14 @t17 @t19)) % 1.22/1.46 (define @t21 () (= (= @t20 @t16) @t18)) % 1.22/1.46 (define @t22 () (tptp.class_Rings_Ocomm__semiring__0 @t14)) % 1.22/1.46 (define @t23 () (=> @t22 @t21)) % 1.22/1.46 (define @t24 () (@list @t19 @t17 @t14)) % 1.22/1.46 (define @t25 () (forall @t24 @t23)) % 1.22/1.46 (define @t26 () (@var "V_p" $$unsorted)) % 1.22/1.46 (define @t27 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t7 @t26 @t10)) % 1.22/1.46 (define @t28 () (tptp.c_Polynomial_OpCons @t7 @t12 @t26)) % 1.22/1.46 (define @t29 () (= @t26 @t9)) % 1.22/1.46 (define @t30 () (@var "V_c" $$unsorted)) % 1.22/1.46 (define @t31 () (tptp.c_Polynomial_Osmult @t7 @t30 @t26)) % 1.22/1.46 (define @t32 () (@list @t12 @t26 @t30 @t7)) % 1.22/1.46 (define @t33 () (tptp.c_Polynomial_Odegree @t7 @t26)) % 1.22/1.46 (define @t34 () (tptp.c_Nat_OSuc @t33)) % 1.22/1.46 (define @t35 () (tptp.c_Polynomial_Odegree @t7 @t28)) % 1.22/1.46 (define @t36 () (= @t35 @t34)) % 1.22/1.46 (define @t37 () (not @t29)) % 1.22/1.46 (define @t38 () (=> @t37 @t36)) % 1.22/1.46 (define @t39 () (tptp.class_Groups_Ozero @t7)) % 1.22/1.46 (define @t40 () (=> @t39 @t38)) % 1.22/1.46 (define @t41 () (@list @t12 @t26 @t7)) % 1.22/1.46 (define @t42 () (forall @t41 @t40)) % 1.22/1.46 (define @t43 () (@var "V_b" $$unsorted)) % 1.22/1.46 (define @t44 () (tptp.c_Polynomial_Osmult @t7 @t43 @t26)) % 1.22/1.46 (define @t45 () (tptp.c_Polynomial_Osmult @t7 @t12 @t26)) % 1.22/1.46 (define @t46 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t43)) % 1.22/1.46 (define @t47 () (@list @t26 @t43 @t12 @t7)) % 1.22/1.46 (define @t48 () (@var "V_q" $$unsorted)) % 1.22/1.46 (define @t49 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t26 @t48)) % 1.22/1.46 (define @t50 () (tptp.c_Polynomial_OpCons @t7 @t43 @t48)) % 1.22/1.46 (define @t51 () (tptp.class_Groups_Ocomm__monoid__add @t7)) % 1.22/1.46 (define @t52 () (@list @t48 @t43 @t26 @t12 @t7)) % 1.22/1.46 (define @t53 () (tptp.c_Polynomial_Odegree @t7 @t45)) % 1.22/1.46 (define @t54 () (tptp.c_Groups_Ozero__class_Ozero @t7)) % 1.22/1.46 (define @t55 () (= @t12 @t54)) % 1.22/1.46 (define @t56 () (not @t55)) % 1.22/1.46 (define @t57 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.22/1.46 (define @t58 () (tptp.class_Rings_Oidom @t7)) % 1.22/1.46 (define @t59 () (@list @t26 @t12 @t7)) % 1.22/1.46 (define @t60 () (@list @t26 @t7)) % 1.22/1.46 (define @t61 () (tptp.c_Groups_Ozero__class_Ozero @t14)) % 1.22/1.46 (define @t62 () (@var "V_a_2" $$unsorted)) % 1.22/1.46 (define @t63 () (= @t62 @t61)) % 1.22/1.46 (define @t64 () (tptp.c_Polynomial_Osmult @t14 @t62 @t17)) % 1.22/1.46 (define @t65 () (tptp.class_Rings_Oidom @t14)) % 1.22/1.46 (define @t66 () (@list @t17 @t62 @t14)) % 1.22/1.46 (define @t67 () (@list @t7)) % 1.22/1.46 (define @t68 () (tptp.c_Polynomial_OpCons @t14 @t62 @t17)) % 1.22/1.46 (define @t69 () (tptp.class_Groups_Ozero @t14)) % 1.22/1.46 (define @t70 () (tptp.c_Polynomial_Osmult @t7 @t12 @t48)) % 1.22/1.46 (define @t71 () (@list @t48 @t26 @t12 @t7)) % 1.22/1.46 (define @t72 () (@list @t48 @t7)) % 1.22/1.46 (define @t73 () (@list @t12 @t7)) % 1.22/1.46 (define @t74 () (@var "V_q_2" $$unsorted)) % 1.22/1.46 (define @t75 () (= @t17 @t74)) % 1.22/1.46 (define @t76 () (@var "V_b_2" $$unsorted)) % 1.22/1.46 (define @t77 () (= @t62 @t76)) % 1.22/1.46 (define @t78 () (tptp.c_Nat_OSuc @t57)) % 1.22/1.46 (define @t79 () (@var "V_n_2" $$unsorted)) % 1.22/1.46 (define @t80 () (= @t79 @t78)) % 1.22/1.46 (define @t81 () (@var "V_m_2" $$unsorted)) % 1.22/1.46 (define @t82 () (= @t81 @t57)) % 1.22/1.46 (define @t83 () (= @t79 @t57)) % 1.22/1.46 (define @t84 () (= @t81 @t78)) % 1.22/1.46 (define @t85 () (or (and @t84 @t83) (and @t82 @t80))) % 1.22/1.46 (define @t86 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t81 @t79)) % 1.22/1.46 (define @t87 () (@list @t79 @t81)) % 1.22/1.46 (define @t88 () (@var "V_m" $$unsorted)) % 1.22/1.46 (define @t89 () (tptp.c_Nat_OSuc @t88)) % 1.22/1.46 (define @t90 () (@list @t88)) % 1.22/1.46 (define @t91 () (@var "V_nat_H_1" $$unsorted)) % 1.22/1.46 (define @t92 () (@var "V_nat_H" $$unsorted)) % 1.22/1.46 (define @t93 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t62 @t62)) % 1.22/1.46 (define @t94 () (tptp.class_Groups_Olinordered__ab__group__add @t14)) % 1.22/1.46 (define @t95 () (@list @t62 @t14)) % 1.22/1.46 (define @t96 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t76 @t62)) % 1.22/1.46 (define @t97 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t14)) % 1.22/1.46 (define @t98 () (@list @t62 @t76 @t14)) % 1.22/1.46 (define @t99 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t54) @t12)) % 1.22/1.46 (define @t100 () (tptp.class_Rings_Ocomm__semiring__1 @t7)) % 1.22/1.46 (define @t101 () (@var "V_n" $$unsorted)) % 1.22/1.46 (define @t102 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t88)) % 1.22/1.46 (define @t103 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t88 @t101)) % 1.22/1.46 (define @t104 () (@list @t101 @t88)) % 1.22/1.46 (define @t105 () (@var "V_z" $$unsorted)) % 1.22/1.46 (define @t106 () (@var "V_x" $$unsorted)) % 1.22/1.46 (define @t107 () (@var "V_y" $$unsorted)) % 1.22/1.46 (define @t108 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t107 @t105)) % 1.22/1.46 (define @t109 () (@list @t105 @t107 @t106)) % 1.22/1.46 (define @t110 () (@var "V_k" $$unsorted)) % 1.22/1.46 (define @t111 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t110)) % 1.22/1.46 (define @t112 () (@list @t110 @t101 @t88)) % 1.22/1.46 (define @t113 () (= @t81 @t79)) % 1.22/1.46 (define @t114 () (@var "V_k_2" $$unsorted)) % 1.22/1.46 (define @t115 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t114 @t79)) % 1.22/1.46 (define @t116 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t114 @t81)) % 1.22/1.46 (define @t117 () (@list @t79 @t81 @t114)) % 1.22/1.46 (define @t118 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t79 @t114)) % 1.22/1.46 (define @t119 () (@list @t79 @t114 @t81)) % 1.22/1.46 (define @t120 () (@var "V_x_2" $$unsorted)) % 1.22/1.46 (define @t121 () (= @t120 @t61)) % 1.22/1.46 (define @t122 () (@list @t120 @t14)) % 1.22/1.46 (define @t123 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t30 @t12)) % 1.22/1.46 (define @t124 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t30)) % 1.22/1.46 (define @t125 () (@var "V_d" $$unsorted)) % 1.22/1.46 (define @t126 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t30 @t125)) % 1.22/1.46 (define @t127 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t126)) % 1.22/1.46 (define @t128 () (@list @t125 @t30 @t12 @t7)) % 1.22/1.46 (define @t129 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t43 @t30)) % 1.22/1.46 (define @t130 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t46 @t30)) % 1.22/1.46 (define @t131 () (= @t130 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t129))) % 1.22/1.46 (define @t132 () (@list @t30 @t43 @t12 @t7)) % 1.22/1.46 (define @t133 () (@var "V_c_2" $$unsorted)) % 1.22/1.46 (define @t134 () (= @t76 @t133)) % 1.22/1.46 (define @t135 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t62 @t133)) % 1.22/1.46 (define @t136 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t62 @t76)) % 1.22/1.46 (define @t137 () (tptp.class_Groups_Ocancel__semigroup__add @t14)) % 1.22/1.46 (define @t138 () (@list @t133 @t76 @t62 @t14)) % 1.22/1.46 (define @t139 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t133 @t62)) % 1.22/1.46 (define @t140 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t43 @t125)) % 1.22/1.46 (define @t141 () (@list @t125 @t30 @t43 @t12 @t7)) % 1.22/1.46 (define @t142 () (= @t43 @t30)) % 1.22/1.46 (define @t143 () (=> (= @t46 @t124) @t142)) % 1.22/1.46 (define @t144 () (tptp.class_Groups_Ocancel__semigroup__add @t7)) % 1.22/1.46 (define @t145 () (@list @t30 @t12 @t43 @t7)) % 1.22/1.46 (define @t146 () (= @t101 @t57)) % 1.22/1.46 (define @t147 () (@list @t101)) % 1.22/1.46 (define @t148 () (tptp.c_Nat_OSuc @t101)) % 1.22/1.46 (define @t149 () (@var "V_nat_H_2" $$unsorted)) % 1.22/1.46 (define @t150 () (@var "V_nat_2" $$unsorted)) % 1.22/1.46 (define @t151 () (= @t106 @t107)) % 1.22/1.46 (define @t152 () (@list @t107 @t106)) % 1.22/1.46 (define @t153 () (tptp.c_Nat_OSuc @t103)) % 1.22/1.46 (define @t154 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t88 @t148)) % 1.22/1.46 (define @t155 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t89 @t101)) % 1.22/1.46 (define @t156 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t54 @t12) @t12)) % 1.22/1.46 (define @t157 () (tptp.class_Groups_Omonoid__add @t7)) % 1.22/1.46 (define @t158 () (@var "V_z_2" $$unsorted)) % 1.22/1.46 (define @t159 () (@var "T_c" $$unsorted)) % 1.22/1.46 (define @t160 () (tptp.c_Polynomial_Opoly__rec @t14 @t159 @t158 @t2 @t17)) % 1.22/1.46 (define @t161 () (tptp.hAPP (tptp.hAPP @t2 @t62) @t17)) % 1.22/1.46 (define @t162 () (tptp.c_Polynomial_Opoly__rec @t14 @t159 @t158 @t2 (tptp.c_Polynomial_OpCons @t159 @t62 @t17))) % 1.22/1.46 (define @t163 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t159))) % 1.22/1.46 (define @t164 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t159)) @t163) @t158) @t158)) % 1.22/1.46 (define @t165 () (tptp.class_Groups_Ozero @t159)) % 1.22/1.46 (define @t166 () (tptp.c_Polynomial_Odegree @t14 @t17)) % 1.22/1.46 (define @t167 () (@list @t133 @t17 @t14)) % 1.22/1.46 (define @t168 () (@var "V_nat" $$unsorted)) % 1.22/1.46 (define @t169 () (tptp.c_Nat_OSuc @t168)) % 1.22/1.46 (define @t170 () (@list @t168)) % 1.22/1.46 (define @t171 () (tptp.c_Groups_Otimes__class_Otimes @t8)) % 1.22/1.46 (define @t172 () (tptp.hAPP @t171 @t26)) % 1.22/1.46 (define @t173 () (tptp.hAPP @t172 @t48)) % 1.22/1.46 (define @t174 () (tptp.c_Polynomial_OpCons @t7 @t54 @t173)) % 1.22/1.46 (define @t175 () (@list @t48 @t12 @t26 @t7)) % 1.22/1.46 (define @t176 () (tptp.c_Polynomial_Omonom @t7 @t12 @t101)) % 1.22/1.46 (define @t177 () (@list @t101 @t12 @t7)) % 1.22/1.46 (define @t178 () (tptp.c_Groups_Otimes__class_Otimes @t7)) % 1.22/1.46 (define @t179 () (tptp.hAPP @t178 @t12)) % 1.22/1.46 (define @t180 () (tptp.hAPP @t179 @t43)) % 1.22/1.46 (define @t181 () (tptp.c_Polynomial_Omonom @t7 @t43 @t101)) % 1.22/1.46 (define @t182 () (tptp.c_Polynomial_Omonom @t7 @t12 @t88)) % 1.22/1.46 (define @t183 () (= @t88 @t101)) % 1.22/1.46 (define @t184 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t88)) % 1.22/1.46 (define @t185 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t88 @t101)) % 1.22/1.46 (define @t186 () (@var "V_i" $$unsorted)) % 1.22/1.46 (define @t187 () (@var "V_j" $$unsorted)) % 1.22/1.46 (define @t188 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t186 @t187)) % 1.22/1.46 (define @t189 () (@list @t110 @t187 @t186)) % 1.22/1.46 (define @t190 () (@var "V_ry" $$unsorted)) % 1.22/1.46 (define @t191 () (@var "V_ly" $$unsorted)) % 1.22/1.46 (define @t192 () (tptp.hAPP @t178 @t191)) % 1.22/1.46 (define @t193 () (@var "V_rx" $$unsorted)) % 1.22/1.46 (define @t194 () (@var "V_lx" $$unsorted)) % 1.22/1.46 (define @t195 () (tptp.hAPP @t178 @t194)) % 1.22/1.46 (define @t196 () (tptp.hAPP @t178 (tptp.hAPP @t195 @t193))) % 1.22/1.46 (define @t197 () (tptp.hAPP @t178 @t193)) % 1.22/1.46 (define @t198 () (tptp.hAPP @t197 @t190)) % 1.22/1.46 (define @t199 () (tptp.hAPP @t178 (tptp.hAPP @t195 @t191))) % 1.22/1.46 (define @t200 () (tptp.hAPP @t199 @t198)) % 1.22/1.46 (define @t201 () (@list @t190 @t193 @t191 @t194 @t7)) % 1.22/1.46 (define @t202 () (tptp.hAPP @t199 @t193)) % 1.22/1.46 (define @t203 () (@list @t193 @t191 @t194 @t7)) % 1.22/1.46 (define @t204 () (tptp.hAPP @t178 @t43)) % 1.22/1.46 (define @t205 () (tptp.hAPP @t204 @t30)) % 1.22/1.46 (define @t206 () (tptp.hAPP @t195 @t198)) % 1.22/1.46 (define @t207 () (@list @t190 @t193 @t194 @t7)) % 1.22/1.46 (define @t208 () (tptp.hAPP @t204 @t12)) % 1.22/1.46 (define @t209 () (@list @t43 @t12 @t7)) % 1.22/1.46 (define @t210 () (tptp.c_Polynomial_Omonom @t14 @t62 @t79)) % 1.22/1.46 (define @t211 () (tptp.c_Polynomial_Odegree @t7 @t176)) % 1.22/1.46 (define @t212 () (@list @t101 @t43 @t12 @t7)) % 1.22/1.46 (define @t213 () (@var "V_y_2" $$unsorted)) % 1.22/1.46 (define @t214 () (= @t213 @t61)) % 1.22/1.46 (define @t215 () (and @t121 @t214)) % 1.22/1.46 (define @t216 () (tptp.c_Groups_Otimes__class_Otimes @t14)) % 1.22/1.46 (define @t217 () (tptp.hAPP @t216 @t120)) % 1.22/1.46 (define @t218 () (tptp.hAPP @t217 @t120)) % 1.22/1.46 (define @t219 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t218 (tptp.hAPP (tptp.hAPP @t216 @t213) @t213))) % 1.22/1.46 (define @t220 () (tptp.class_Rings_Olinordered__ring__strict @t14)) % 1.22/1.46 (define @t221 () (@list @t213 @t120 @t14)) % 1.22/1.46 (define @t222 () (tptp.hAPP @t178 @t107)) % 1.22/1.46 (define @t223 () (tptp.hAPP @t178 @t106)) % 1.22/1.46 (define @t224 () (tptp.hAPP @t223 @t106)) % 1.22/1.46 (define @t225 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t224 (tptp.hAPP @t222 @t107))) % 1.22/1.46 (define @t226 () (tptp.class_Rings_Olinordered__ring @t7)) % 1.22/1.46 (define @t227 () (@list @t107 @t106 @t7)) % 1.22/1.46 (define @t228 () (tptp.c_Polynomial_Odegree @t7 @t48)) % 1.22/1.46 (define @t229 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t33 @t228)) % 1.22/1.46 (define @t230 () (tptp.c_Polynomial_Odegree @t7 @t173)) % 1.22/1.46 (define @t231 () (@list @t48 @t26 @t7)) % 1.22/1.46 (define @t232 () (= (tptp.hAPP @t179 @t54) @t54)) % 1.22/1.46 (define @t233 () (tptp.hAPP @t178 @t54)) % 1.22/1.46 (define @t234 () (= (tptp.hAPP @t233 @t12) @t54)) % 1.22/1.46 (define @t235 () (@var "V_w_2" $$unsorted)) % 1.22/1.46 (define @t236 () (tptp.hAPP @t216 @t235)) % 1.22/1.46 (define @t237 () (tptp.hAPP @t217 @t158)) % 1.22/1.46 (define @t238 () (tptp.hAPP @t236 @t213)) % 1.22/1.46 (define @t239 () (tptp.hAPP @t178 @t46)) % 1.22/1.46 (define @t240 () (tptp.hAPP @t179 @t88)) % 1.22/1.46 (define @t241 () (tptp.hAPP @t179 @t30)) % 1.22/1.46 (define @t242 () (= (tptp.hAPP @t239 @t30) (tptp.c_Groups_Oplus__class_Oplus @t7 @t241 @t205))) % 1.22/1.46 (define @t243 () (tptp.hAPP @t216 @t76)) % 1.22/1.46 (define @t244 () (tptp.hAPP @t243 @t133)) % 1.22/1.46 (define @t245 () (@var "V_d_2" $$unsorted)) % 1.22/1.46 (define @t246 () (tptp.hAPP @t216 @t62)) % 1.22/1.46 (define @t247 () (tptp.hAPP @t246 @t133)) % 1.22/1.46 (define @t248 () (= @t133 @t245)) % 1.22/1.46 (define @t249 () (@list @t245 @t133 @t76 @t62 @t14)) % 1.22/1.46 (define @t250 () (tptp.hAPP @t223 @t105)) % 1.22/1.46 (define @t251 () (tptp.hAPP @t223 @t107)) % 1.22/1.46 (define @t252 () (@list @t105 @t107 @t106 @t7)) % 1.22/1.46 (define @t253 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t12 @t43)) % 1.22/1.46 (define @t254 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t30 @t43)) % 1.22/1.46 (define @t255 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t123 @t254)) % 1.22/1.46 (define @t256 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t7)) % 1.22/1.46 (define @t257 () (@list @t43 @t12 @t30 @t7)) % 1.22/1.46 (define @t258 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t124 @t129)) % 1.22/1.46 (define @t259 () (@list @t43 @t30 @t12 @t7)) % 1.22/1.46 (define @t260 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t30 @t125)) % 1.22/1.46 (define @t261 () (tptp.class_Groups_Oordered__ab__semigroup__add @t7)) % 1.22/1.46 (define @t262 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t62 @t76)) % 1.22/1.46 (define @t263 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t133 @t76)) % 1.22/1.46 (define @t264 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t14)) % 1.22/1.46 (define @t265 () (@list @t76 @t62 @t133 @t14)) % 1.22/1.46 (define @t266 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t76 @t133)) % 1.22/1.46 (define @t267 () (@list @t76 @t133 @t62 @t14)) % 1.22/1.46 (define @t268 () (@list @t79)) % 1.22/1.46 (define @t269 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t101)) % 1.22/1.46 (define @t270 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t88 @t148)) % 1.22/1.46 (define @t271 () (tptp.c_Nat_OSuc @t81)) % 1.22/1.46 (define @t272 () (tptp.c_Nat_OSuc @t79)) % 1.22/1.46 (define @t273 () (@list @t81 @t79)) % 1.22/1.46 (define @t274 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t81 @t79)) % 1.22/1.46 (define @t275 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t272 @t81)) % 1.22/1.46 (define @t276 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t110 @t101)) % 1.22/1.46 (define @t277 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t88 @t110)) % 1.22/1.46 (define @t278 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t277 @t101)) % 1.22/1.46 (define @t279 () (@list @t101 @t110 @t88)) % 1.22/1.46 (define @t280 () (@var "V_l" $$unsorted)) % 1.22/1.46 (define @t281 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t187 @t280)) % 1.22/1.46 (define @t282 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t186 @t110)) % 1.22/1.46 (define @t283 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t110 @t280)) % 1.22/1.46 (define @t284 () (@list @t280 @t110 @t187 @t186)) % 1.22/1.46 (define @t285 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t187 @t110)) % 1.22/1.46 (define @t286 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t88 @t187)) % 1.22/1.46 (define @t287 () (@list @t88 @t187 @t186)) % 1.22/1.46 (define @t288 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t187 @t88)) % 1.22/1.46 (define @t289 () (@var "B_k" $$unsorted)) % 1.22/1.46 (define @t290 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t81 @t289)) % 1.22/1.46 (define @t291 () (@list @t289)) % 1.22/1.46 (define @t292 () (@list @t88 @t101)) % 1.22/1.46 (define @t293 () (tptp.c_Polynomial_Osmult @t7 @t12 @t173)) % 1.22/1.46 (define @t294 () (@var "V_r" $$unsorted)) % 1.22/1.46 (define @t295 () (tptp.hAPP @t171 @t48)) % 1.22/1.46 (define @t296 () (tptp.hAPP @t178 @t294)) % 1.22/1.46 (define @t297 () (= @t12 @t43)) % 1.22/1.46 (define @t298 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t43 @t54)) % 1.22/1.46 (define @t299 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t12 @t54)) % 1.22/1.46 (define @t300 () (tptp.class_Groups_Oordered__comm__monoid__add @t7)) % 1.22/1.46 (define @t301 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t43 @t124)) % 1.22/1.46 (define @t302 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t43 @t12)) % 1.22/1.46 (define @t303 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t30)) % 1.22/1.46 (define @t304 () (@list @t12 @t43 @t30 @t7)) % 1.22/1.46 (define @t305 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t43 @t30)) % 1.22/1.46 (define @t306 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t12)) % 1.22/1.46 (define @t307 () (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t120 @t213) @t61)) % 1.22/1.46 (define @t308 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t43)) % 1.22/1.46 (define @t309 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t62 @t61)) % 1.22/1.46 (define @t310 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t61 @t62)) % 1.22/1.46 (define @t311 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t53 @t33)) % 1.22/1.46 (define @t312 () (forall @t59 (=> @t11 @t311))) % 1.22/1.46 (define @t313 () (tptp.c_Polynomial_Odegree @t7 @t49)) % 1.22/1.46 (define @t314 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t228 @t101)) % 1.22/1.46 (define @t315 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t33 @t101)) % 1.22/1.46 (define @t316 () (@list @t48 @t101 @t26 @t7)) % 1.22/1.46 (define @t317 () (@list @t79 @t62 @t14)) % 1.22/1.46 (define @t318 () (@list @t101 @t7)) % 1.22/1.46 (define @t319 () (@list @t43 @t101 @t12 @t7)) % 1.22/1.46 (define @t320 () (not (= @t48 @t9))) % 1.22/1.46 (define @t321 () (tptp.c_Polynomial_Opcompose @t7 @t26 @t48)) % 1.22/1.46 (define @t322 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t180 @t54)) % 1.22/1.46 (define @t323 () (tptp.class_Rings_Oordered__cancel__semiring @t7)) % 1.22/1.46 (define @t324 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t180)) % 1.22/1.46 (define @t325 () (tptp.class_Rings_Oordered__ring @t7)) % 1.22/1.46 (define @t326 () (tptp.hAPP @t204 @t125)) % 1.22/1.46 (define @t327 () (=> @t303 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t241 @t326))) % 1.22/1.46 (define @t328 () (tptp.class_Rings_Oordered__semiring @t7)) % 1.22/1.46 (define @t329 () (tptp.hAPP @t178 @t30)) % 1.22/1.46 (define @t330 () (tptp.hAPP @t329 @t43)) % 1.22/1.46 (define @t331 () (tptp.hAPP @t329 @t12)) % 1.22/1.46 (define @t332 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t331 @t330)) % 1.22/1.46 (define @t333 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t30 @t54)) % 1.22/1.46 (define @t334 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t241 @t205)) % 1.22/1.46 (define @t335 () (=> @t253 (=> @t303 @t332))) % 1.22/1.46 (define @t336 () (= @t114 @t57)) % 1.22/1.46 (define @t337 () (or @t113 @t336)) % 1.22/1.46 (define @t338 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.22/1.46 (define @t339 () (tptp.hAPP @t338 @t79)) % 1.22/1.46 (define @t340 () (tptp.hAPP @t339 @t114)) % 1.22/1.46 (define @t341 () (tptp.hAPP @t338 @t81)) % 1.22/1.46 (define @t342 () (tptp.hAPP @t341 @t114)) % 1.22/1.46 (define @t343 () (tptp.hAPP @t338 @t114)) % 1.22/1.46 (define @t344 () (tptp.hAPP @t343 @t79)) % 1.22/1.46 (define @t345 () (tptp.hAPP @t343 @t81)) % 1.22/1.46 (define @t346 () (= @t345 @t344)) % 1.22/1.46 (define @t347 () (tptp.hAPP @t341 @t79)) % 1.22/1.46 (define @t348 () (tptp.hAPP @t338 @t88)) % 1.22/1.46 (define @t349 () (tptp.hAPP @t338 (tptp.c_Nat_OSuc @t114))) % 1.22/1.46 (define @t350 () (tptp.hAPP @t349 @t79)) % 1.22/1.46 (define @t351 () (tptp.hAPP @t349 @t81)) % 1.22/1.46 (define @t352 () (tptp.hAPP @t338 @t110)) % 1.22/1.46 (define @t353 () (tptp.hAPP @t352 @t101)) % 1.22/1.46 (define @t354 () (tptp.hAPP @t352 @t88)) % 1.22/1.46 (define @t355 () (@list @t101 @t88 @t110)) % 1.22/1.46 (define @t356 () (tptp.hAPP @t338 @t101)) % 1.22/1.46 (define @t357 () (tptp.hAPP @t356 @t110)) % 1.22/1.46 (define @t358 () (tptp.hAPP @t348 @t110)) % 1.22/1.46 (define @t359 () (tptp.hAPP @t348 @t88)) % 1.22/1.46 (define @t360 () (tptp.hAPP @t338 @t187)) % 1.22/1.46 (define @t361 () (tptp.hAPP @t360 @t110)) % 1.22/1.46 (define @t362 () (tptp.hAPP @t338 @t186)) % 1.22/1.46 (define @t363 () (tptp.hAPP @t362 @t110)) % 1.22/1.46 (define @t364 () (tptp.hAPP @t352 @t187)) % 1.22/1.46 (define @t365 () (tptp.hAPP @t352 @t186)) % 1.22/1.46 (define @t366 () (tptp.hAPP @t338 @t33)) % 1.22/1.46 (define @t367 () (tptp.hAPP @t348 @t101)) % 1.22/1.46 (define @t368 () (tptp.class_Rings_Omult__zero @t7)) % 1.22/1.46 (define @t369 () (= @t76 @t61)) % 1.22/1.46 (define @t370 () (tptp.hAPP @t246 @t76)) % 1.22/1.46 (define @t371 () (@list @t76 @t62 @t14)) % 1.22/1.46 (define @t372 () (= @t180 @t54)) % 1.22/1.46 (define @t373 () (= @t43 @t54)) % 1.22/1.46 (define @t374 () (not @t373)) % 1.22/1.46 (define @t375 () (tptp.class_Rings_Ono__zero__divisors @t7)) % 1.22/1.46 (define @t376 () (@var "V_e" $$unsorted)) % 1.22/1.46 (define @t377 () (tptp.hAPP @t179 @t12)) % 1.22/1.46 (define @t378 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t76 @t61)) % 1.22/1.46 (define @t379 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t61 @t76)) % 1.22/1.46 (define @t380 () (or (and @t310 @t379) (and @t309 @t378))) % 1.22/1.46 (define @t381 () (or (and @t310 @t378) (and @t309 @t379))) % 1.22/1.46 (define @t382 () (tptp.class_Orderings_Opreorder @t7)) % 1.22/1.46 (define @t383 () (@list @t106 @t7)) % 1.22/1.46 (define @t384 () (@var "B_n" $$unsorted)) % 1.22/1.46 (define @t385 () (@var "V_l_2" $$unsorted)) % 1.22/1.46 (define @t386 () (@list @t384)) % 1.22/1.46 (define @t387 () (@list @t385 @t114)) % 1.22/1.46 (define @t388 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t106 @t108)) % 1.22/1.46 (define @t389 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t106 @t107)) % 1.22/1.46 (define @t390 () (@list @t107 @t105 @t106)) % 1.22/1.46 (define @t391 () (tptp.c_Polynomial_Oorder @t7 @t12 @t26)) % 1.22/1.46 (define @t392 () (@var "V_b_H" $$unsorted)) % 1.22/1.46 (define @t393 () (tptp.hAPP @t179 @t392)) % 1.22/1.46 (define @t394 () (tptp.class_RealVector_Oreal__normed__algebra @t7)) % 1.22/1.46 (define @t395 () (@list @t392 @t43 @t12 @t7)) % 1.22/1.46 (define @t396 () (@var "V_xa" $$unsorted)) % 1.22/1.46 (define @t397 () (tptp.hAPP @t178 @t396)) % 1.22/1.46 (define @t398 () (tptp.hAPP @t397 @t107)) % 1.22/1.46 (define @t399 () (tptp.hAPP @t397 @t106)) % 1.22/1.46 (define @t400 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t106 @t107)) % 1.22/1.46 (define @t401 () (@list @t107 @t106 @t396 @t7)) % 1.22/1.46 (define @t402 () (@var "V_a_H" $$unsorted)) % 1.22/1.46 (define @t403 () (tptp.hAPP (tptp.hAPP @t178 @t402) @t43)) % 1.22/1.46 (define @t404 () (@list @t43 @t402 @t12 @t7)) % 1.22/1.46 (define @t405 () (tptp.hAPP @t356 @t88)) % 1.22/1.46 (define @t406 () (tptp.tc_fun @t14 @t159)) % 1.22/1.46 (define @t407 () (tptp.c_Orderings_Oord__class_Oless__eq @t406 @t2 @t1)) % 1.22/1.46 (define @t408 () (tptp.class_Orderings_Oord @t159)) % 1.22/1.46 (define @t409 () (@list @t1 @t2 @t14 @t159)) % 1.22/1.46 (define @t410 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t107 @t106)) % 1.22/1.46 (define @t411 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t106 @t107)) % 1.22/1.46 (define @t412 () (tptp.class_Orderings_Olinorder @t7)) % 1.22/1.46 (define @t413 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t213 @t120)) % 1.22/1.46 (define @t414 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t120 @t213)) % 1.22/1.46 (define @t415 () (= @t120 @t213)) % 1.22/1.46 (define @t416 () (tptp.class_Orderings_Oorder @t14)) % 1.22/1.46 (define @t417 () (= @t414 @t415)) % 1.22/1.46 (define @t418 () (@list @t120 @t213 @t14)) % 1.22/1.46 (define @t419 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t12 @t30)) % 1.22/1.46 (define @t420 () (tptp.class_Orderings_Oord @t7)) % 1.22/1.46 (define @t421 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t30 @t12)) % 1.22/1.46 (define @t422 () (tptp.class_Orderings_Oorder @t7)) % 1.22/1.46 (define @t423 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t107 @t105)) % 1.22/1.46 (define @t424 () (@list @t106 @t107 @t7)) % 1.22/1.46 (define @t425 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t105 @t107)) % 1.22/1.46 (define @t426 () (@list @t105 @t106 @t107 @t7)) % 1.22/1.46 (define @t427 () (@list @t107 @t7)) % 1.22/1.46 (define @t428 () (@var "V_ya" $$unsorted)) % 1.22/1.46 (define @t429 () (tptp.hAPP @t222 @t428)) % 1.22/1.46 (define @t430 () (tptp.hAPP @t223 @t428)) % 1.22/1.46 (define @t431 () (@list @t428 @t107 @t106 @t7)) % 1.22/1.46 (define @t432 () (@var "V_u" $$unsorted)) % 1.22/1.46 (define @t433 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t186 @t187)) % 1.22/1.46 (define @t434 () (tptp.hAPP @t360 @t432)) % 1.22/1.46 (define @t435 () (tptp.hAPP @t362 @t432)) % 1.22/1.46 (define @t436 () (tptp.c_Polynomial_Osynthetic__div @t7 @t26 @t30)) % 1.22/1.46 (define @t437 () (tptp.c_Polynomial_Opoly @t7 @t26)) % 1.22/1.46 (define @t438 () (tptp.hAPP @t437 @t30)) % 1.22/1.46 (define @t439 () (tptp.c_Polynomial_OpCons @t7 @t438 @t436)) % 1.22/1.46 (define @t440 () (@list @t30 @t26 @t7)) % 1.22/1.46 (define @t441 () (tptp.c_Polynomial_Opoly @t14 @t17)) % 1.22/1.46 (define @t442 () (and (tptp.class_Int_Oring__char__0 @t14) @t65)) % 1.22/1.46 (define @t443 () (@list @t74 @t17 @t14)) % 1.22/1.46 (define @t444 () (@list @t17 @t14)) % 1.22/1.46 (define @t445 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t48) @t106)) % 1.22/1.46 (define @t446 () (@list @t106 @t48 @t26 @t7)) % 1.22/1.46 (define @t447 () (tptp.hAPP @t437 @t106)) % 1.22/1.46 (define @t448 () (@list @t106 @t26 @t12 @t7)) % 1.22/1.46 (define @t449 () (tptp.c_Polynomial_Ocoeff @t7 @t48)) % 1.22/1.46 (define @t450 () (tptp.hAPP @t449 @t228)) % 1.22/1.46 (define @t451 () (tptp.c_Polynomial_Ocoeff @t7 @t26)) % 1.22/1.46 (define @t452 () (tptp.hAPP @t451 @t33)) % 1.22/1.46 (define @t453 () (@var "V_v" $$unsorted)) % 1.22/1.46 (define @t454 () (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP (tptp.hAPP @t178 @t432) @t106) (tptp.hAPP (tptp.hAPP @t178 @t453) @t107))) % 1.22/1.46 (define @t455 () (tptp.c_Groups_Oone__class_Oone @t7)) % 1.22/1.46 (define @t456 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t432 @t453) @t455)) % 1.22/1.46 (define @t457 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t453)) % 1.22/1.46 (define @t458 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t432)) % 1.22/1.46 (define @t459 () (@list @t453 @t432 @t107 @t12 @t106 @t7)) % 1.22/1.46 (define @t460 () (@var "V_n_H_2" $$unsorted)) % 1.22/1.46 (define @t461 () (tptp.c_Polynomial_OpCons @t7 @t455 @t9)) % 1.22/1.46 (define @t462 () (tptp.class_Rings_Ocomm__ring__1 @t7)) % 1.22/1.46 (define @t463 () (tptp.c_Power_Opower__class_Opower @t7)) % 1.22/1.46 (define @t464 () (tptp.hAPP @t463 @t106)) % 1.22/1.46 (define @t465 () (tptp.hAPP @t464 @t101)) % 1.22/1.46 (define @t466 () (tptp.c_Groups_Oone__class_Oone @t8)) % 1.22/1.46 (define @t467 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t26)) % 1.22/1.46 (define @t468 () (tptp.class_Rings_Ocomm__ring @t7)) % 1.22/1.46 (define @t469 () (tptp.c_Power_Opower__class_Opower @t8)) % 1.22/1.46 (define @t470 () (tptp.hAPP (tptp.hAPP @t469 @t26) @t101)) % 1.22/1.46 (define @t471 () (tptp.class_Groups_Oab__group__add @t14)) % 1.22/1.46 (define @t472 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t12)) % 1.22/1.46 (define @t473 () (tptp.class_Groups_Oab__group__add @t7)) % 1.22/1.46 (define @t474 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t45)) % 1.22/1.46 (define @t475 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t466) @t101)) % 1.22/1.46 (define @t476 () (not @t146)) % 1.22/1.46 (define @t477 () (tptp.hAPP (tptp.hAPP @t469 (tptp.c_Polynomial_OpCons @t7 @t12 @t461)) @t101)) % 1.22/1.46 (define @t478 () (tptp.c_Groups_Ouminus__class_Ouminus @t14 @t76)) % 1.22/1.46 (define @t479 () (tptp.c_Groups_Ouminus__class_Ouminus @t14 @t62)) % 1.22/1.46 (define @t480 () (tptp.class_Groups_Ogroup__add @t14)) % 1.22/1.46 (define @t481 () (= @t62 @t478)) % 1.22/1.46 (define @t482 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.22/1.46 (define @t483 () (tptp.c_Groups_Oone__class_Oone @t14)) % 1.22/1.46 (define @t484 () (= @t120 @t483)) % 1.22/1.46 (define @t485 () (tptp.class_Groups_Ogroup__add @t7)) % 1.22/1.46 (define @t486 () (tptp.hAPP @t451 @t101)) % 1.22/1.46 (define @t487 () (@list @t101 @t26 @t7)) % 1.22/1.46 (define @t488 () (tptp.c_Polynomial_Ocoeff @t14 @t17)) % 1.22/1.46 (define @t489 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t455)) % 1.22/1.46 (define @t490 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t106)) % 1.22/1.46 (define @t491 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t43)) % 1.22/1.46 (define @t492 () (tptp.class_Groups_Oordered__ab__group__add @t14)) % 1.22/1.46 (define @t493 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t180)) % 1.22/1.46 (define @t494 () (tptp.hAPP @t178 @t472)) % 1.22/1.46 (define @t495 () (tptp.hAPP @t494 @t43)) % 1.22/1.46 (define @t496 () (tptp.hAPP @t179 @t491)) % 1.22/1.46 (define @t497 () (tptp.class_Rings_Oring @t7)) % 1.22/1.46 (define @t498 () (tptp.hAPP @t463 @t107)) % 1.22/1.46 (define @t499 () (tptp.hAPP @t464 @t48)) % 1.22/1.46 (define @t500 () (tptp.hAPP @t178 @t499)) % 1.22/1.46 (define @t501 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t46)) % 1.22/1.46 (define @t502 () (tptp.class_Rings_Ozero__neq__one @t7)) % 1.22/1.46 (define @t503 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.22/1.46 (define @t504 () (tptp.hAPP @t503 @t106)) % 1.22/1.46 (define @t505 () (tptp.hAPP @t504 @t107)) % 1.22/1.46 (define @t506 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.22/1.46 (define @t507 () (= (tptp.hAPP @t179 @t455) @t12)) % 1.22/1.46 (define @t508 () (tptp.class_Groups_Ocomm__monoid__mult @t7)) % 1.22/1.46 (define @t509 () (tptp.class_Groups_Omonoid__mult @t7)) % 1.22/1.46 (define @t510 () (= (tptp.hAPP (tptp.hAPP @t178 @t455) @t12) @t12)) % 1.22/1.46 (define @t511 () (tptp.hAPP @t338 @t26)) % 1.22/1.46 (define @t512 () (tptp.hAPP @t464 @t26)) % 1.22/1.46 (define @t513 () (@list @t48 @t26 @t106 @t7)) % 1.22/1.46 (define @t514 () (= @t79 @t482)) % 1.22/1.46 (define @t515 () (= @t81 @t482)) % 1.22/1.46 (define @t516 () (and @t515 @t514)) % 1.22/1.46 (define @t517 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t472 @t12) @t54)) % 1.22/1.46 (define @t518 () (tptp.hAPP @t223 @t499)) % 1.22/1.46 (define @t519 () (tptp.hAPP @t464 (tptp.c_Nat_OSuc @t48))) % 1.22/1.46 (define @t520 () (@list @t48 @t106 @t7)) % 1.22/1.46 (define @t521 () (tptp.class_Rings_Olinordered__semidom @t7)) % 1.22/1.46 (define @t522 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t455)) % 1.22/1.46 (define @t523 () (tptp.hAPP (tptp.hAPP @t178 @t522) @t88)) % 1.22/1.46 (define @t524 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t455 @t455)) % 1.22/1.46 (define @t525 () (tptp.c_Polynomial_Ocoeff @t7 @t28)) % 1.22/1.46 (define @t526 () (@list @t101 @t26 @t12 @t7)) % 1.22/1.46 (define @t527 () (= @t88 @t57)) % 1.22/1.46 (define @t528 () (tptp.hAPP @t449 @t101)) % 1.22/1.46 (define @t529 () (@list @t101 @t48 @t26 @t7)) % 1.22/1.46 (define @t530 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t182) @t101)) % 1.22/1.46 (define @t531 () (not @t183)) % 1.22/1.46 (define @t532 () (@list @t12 @t101 @t88 @t7)) % 1.22/1.46 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t107 @t455)) % 1.22/1.46 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t107)) % 1.22/1.46 (define @t535 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t106)) % 1.22/1.46 (define @t536 () (tptp.class_Rings_Olinordered__idom @t7)) % 1.22/1.46 (define @t537 () (= @t486 @t54)) % 1.22/1.46 (define @t538 () (tptp.hAPP @t463 @t12)) % 1.22/1.46 (define @t539 () (tptp.hAPP @t538 @t101)) % 1.22/1.46 (define @t540 () (@var "V_N" $$unsorted)) % 1.22/1.46 (define @t541 () (tptp.hAPP @t538 @t540)) % 1.22/1.46 (define @t542 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t540)) % 1.22/1.46 (define @t543 () (@list @t12 @t540 @t101 @t7)) % 1.22/1.46 (define @t544 () (tptp.c_Groups_Ouminus__class_Ouminus @t14 @t213)) % 1.22/1.46 (define @t545 () (tptp.c_Nat_OSuc @t78)) % 1.22/1.46 (define @t546 () (tptp.c_Power_Opower__class_Opower @t14)) % 1.22/1.46 (define @t547 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t455 @t12)) % 1.22/1.46 (define @t548 () (tptp.class_Rings_Oring__1 @t7)) % 1.22/1.46 (define @t549 () (tptp.hAPP @t463 @t54)) % 1.22/1.46 (define @t550 () (tptp.hAPP @t549 @t101)) % 1.22/1.46 (define @t551 () (tptp.class_Power_Opower @t7)) % 1.22/1.46 (define @t552 () (and @t551 (tptp.class_Rings_Osemiring__0 @t7))) % 1.22/1.46 (define @t553 () (tptp.hAPP @t463 @t43)) % 1.22/1.46 (define @t554 () (tptp.hAPP @t553 @t148)) % 1.22/1.46 (define @t555 () (tptp.hAPP @t538 @t148)) % 1.22/1.46 (define @t556 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.22/1.46 (define @t557 () (@list @t105)) % 1.22/1.46 (define @t558 () (tptp.hAPP @t506 @t105)) % 1.22/1.46 (define @t559 () (@var "V_w" $$unsorted)) % 1.22/1.46 (define @t560 () (tptp.hAPP @t558 @t559)) % 1.22/1.46 (define @t561 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t105)) % 1.22/1.46 (define @t562 () (@list @t559 @t105)) % 1.22/1.46 (define @t563 () (@var "V_z2" $$unsorted)) % 1.22/1.46 (define @t564 () (tptp.hAPP @t506 @t559)) % 1.22/1.46 (define @t565 () (tptp.hAPP @t564 @t563)) % 1.22/1.46 (define @t566 () (@var "V_z1" $$unsorted)) % 1.22/1.46 (define @t567 () (tptp.hAPP @t564 @t566)) % 1.22/1.46 (define @t568 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t566 @t563)) % 1.22/1.46 (define @t569 () (@list @t563 @t566 @t559)) % 1.22/1.46 (define @t570 () (tptp.hAPP @t506 @t563)) % 1.22/1.46 (define @t571 () (tptp.hAPP @t570 @t559)) % 1.22/1.46 (define @t572 () (tptp.hAPP @t506 @t566)) % 1.22/1.46 (define @t573 () (tptp.hAPP @t572 @t559)) % 1.22/1.46 (define @t574 () (@list @t559 @t563 @t566)) % 1.22/1.46 (define @t575 () (@var "V_z3" $$unsorted)) % 1.22/1.46 (define @t576 () (@list @t575 @t563 @t566)) % 1.22/1.46 (define @t577 () (tptp.hAPP @t553 @t101)) % 1.22/1.46 (define @t578 () (tptp.hAPP @t178 @t539)) % 1.22/1.46 (define @t579 () (tptp.hAPP @t179 @t539)) % 1.22/1.46 (define @t580 () (tptp.hAPP @t578 @t12)) % 1.22/1.46 (define @t581 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.22/1.46 (define @t582 () (tptp.hAPP @t581 @t120)) % 1.22/1.46 (define @t583 () (tptp.hAPP @t538 @t88)) % 1.22/1.46 (define @t584 () (@list @t101 @t88 @t12 @t7)) % 1.22/1.46 (define @t585 () (tptp.c_Groups_Ouminus__class_Ouminus @t14 @t120)) % 1.22/1.46 (define @t586 () (not @t83)) % 1.22/1.46 (define @t587 () (tptp.hAPP @t546 @t62)) % 1.22/1.46 (define @t588 () (tptp.hAPP @t587 @t79)) % 1.22/1.46 (define @t589 () (tptp.class_Power_Opower @t14)) % 1.22/1.46 (define @t590 () (tptp.hAPP @t581 @t186)) % 1.22/1.46 (define @t591 () (tptp.hAPP @t590 @t101)) % 1.22/1.46 (define @t592 () (@list @t101 @t186)) % 1.22/1.46 (define @t593 () (tptp.hAPP @t469 (tptp.c_Polynomial_OpCons @t7 @t472 @t461))) % 1.22/1.46 (define @t594 () (not (tptp.c_Rings_Odvd__class_Odvd @t8 (tptp.hAPP @t593 (tptp.c_Nat_OSuc @t391)) @t26))) % 1.22/1.46 (define @t595 () (tptp.c_Rings_Odvd__class_Odvd @t8 (tptp.hAPP @t593 @t391) @t26)) % 1.22/1.46 (define @t596 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t107)) % 1.22/1.46 (define @t597 () (tptp.class_Lattices_Oboolean__algebra @t7)) % 1.22/1.46 (define @t598 () (tptp.class_Lattices_Oboolean__algebra @t14)) % 1.22/1.46 (define @t599 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.22/1.46 (define @t600 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t556 @t105)) % 1.22/1.46 (define @t601 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t559)) % 1.22/1.46 (define @t602 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t105 @t559)) % 1.22/1.46 (define @t603 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t106 @t107)) % 1.22/1.46 (define @t604 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t205)) % 1.22/1.46 (define @t605 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t43)) % 1.22/1.46 (define @t606 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t30)) % 1.22/1.46 (define @t607 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t180 @t30)) % 1.22/1.46 (define @t608 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t43 @t30)) % 1.22/1.46 (define @t609 () (tptp.c_Rings_Odvd__class_Odvd @t14 @t120 @t213)) % 1.22/1.46 (define @t610 () (tptp.class_Rings_Ocomm__ring__1 @t14)) % 1.22/1.46 (define @t611 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t186 @t187)) % 1.22/1.46 (define @t612 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t559 @t105)) % 1.22/1.46 (define @t613 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t26 @t48)) % 1.22/1.46 (define @t614 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t45 @t48)) % 1.22/1.46 (define @t615 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t26 @t70)) % 1.22/1.46 (define @t616 () (@list @t12 @t48 @t26 @t7)) % 1.22/1.46 (define @t617 () (= @t133 @t61)) % 1.22/1.46 (define @t618 () (or @t617 (tptp.c_Rings_Odvd__class_Odvd @t14 @t62 @t76))) % 1.22/1.46 (define @t619 () (tptp.hAPP @t216 @t133)) % 1.22/1.46 (define @t620 () (tptp.hAPP @t619 @t76)) % 1.22/1.46 (define @t621 () (tptp.hAPP @t619 @t62)) % 1.22/1.46 (define @t622 () (tptp.class_Fields_Ofield @t7)) % 1.22/1.46 (define @t623 () (tptp.c_Rings_Odvd__class_Odvd @t15 @t17 @t74)) % 1.22/1.46 (define @t624 () (not @t63)) % 1.22/1.46 (define @t625 () (tptp.class_Fields_Ofield @t14)) % 1.22/1.46 (define @t626 () (@list @t74 @t17 @t62 @t14)) % 1.22/1.46 (define @t627 () (= @t74 @t16)) % 1.22/1.46 (define @t628 () (@var "V_one_2" $$unsorted)) % 1.22/1.46 (define @t629 () (@var "V_times_2" $$unsorted)) % 1.22/1.46 (define @t630 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t14 @t628 @t629) @t62)) % 1.22/1.46 (define @t631 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t7)) % 1.22/1.46 (define @t632 () (@var "V_A_2" $$unsorted)) % 1.22/1.46 (define @t633 () (tptp.hAPP @t632 @t120)) % 1.22/1.46 (define @t634 () (tptp.tc_fun @t159 @t14)) % 1.22/1.46 (define @t635 () (tptp.c_Polynomial_OpCons @t14 @t483 @t16)) % 1.22/1.46 (define @t636 () (tptp.c_Groups_Ouminus__class_Ouminus @t14 @t133)) % 1.22/1.46 (define @t637 () (@var "V_P_2" $$unsorted)) % 1.22/1.46 (define @t638 () (tptp.class_Rings_Odvd @t14)) % 1.22/1.46 (define @t639 () (tptp.c_Polynomial_Opoly__gcd @t7 @t106 @t107)) % 1.22/1.46 (define @t640 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t639) (tptp.c_Polynomial_Odegree @t7 @t639))) % 1.22/1.46 (define @t641 () (= @t107 @t9)) % 1.22/1.46 (define @t642 () (and (= @t106 @t9) @t641)) % 1.22/1.46 (define @t643 () (not @t642)) % 1.22/1.46 (define @t644 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t33 @t101)) % 1.22/1.46 (define @t645 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t106 @t107)) % 1.22/1.46 (define @t646 () (tptp.hAPP @t178 @t645)) % 1.22/1.46 (define @t647 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t89 @t148)) % 1.22/1.46 (define @t648 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t88 @t101)) % 1.22/1.46 (define @t649 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t235 @t158)) % 1.22/1.46 (define @t650 () (@list @t158 @t235)) % 1.22/1.46 (define @t651 () (@list @t158)) % 1.22/1.46 (define @t652 () (tptp.hAPP @t546 @t76)) % 1.22/1.46 (define @t653 () (tptp.hAPP @t652 @t213)) % 1.22/1.46 (define @t654 () (tptp.hAPP @t652 @t120)) % 1.22/1.46 (define @t655 () (tptp.c_Orderings_Oord__class_Oless @t14 @t483 @t76)) % 1.22/1.46 (define @t656 () (tptp.class_Rings_Olinordered__semidom @t14)) % 1.22/1.46 (define @t657 () (@list @t213 @t120 @t76 @t14)) % 1.22/1.46 (define @t658 () (tptp.c_Orderings_Oord__class_Oless @t7 @t455 @t12)) % 1.22/1.46 (define @t659 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t540)) % 1.22/1.46 (define @t660 () (@var "V_t_2" $$unsorted)) % 1.22/1.46 (define @t661 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t245 @t660)) % 1.22/1.46 (define @t662 () (@list @t660 @t245)) % 1.22/1.46 (define @t663 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t88 @t101)) % 1.22/1.46 (define @t664 () (tptp.hAPP @t506 @t110)) % 1.22/1.46 (define @t665 () (tptp.hAPP @t506 @t114)) % 1.22/1.46 (define @t666 () (tptp.hAPP @t665 @t81)) % 1.22/1.46 (define @t667 () (@var "V_e_2" $$unsorted)) % 1.22/1.46 (define @t668 () (tptp.c_Groups_Ominus__class_Ominus @t14 @t62 @t76)) % 1.22/1.46 (define @t669 () (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP (tptp.hAPP @t216 @t668) @t667) @t133)) % 1.22/1.46 (define @t670 () (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t243 @t667) @t245)) % 1.22/1.46 (define @t671 () (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t246 @t667) @t133)) % 1.22/1.46 (define @t672 () (tptp.c_Orderings_Oord__class_Oless @t14 @t671 @t670)) % 1.22/1.46 (define @t673 () (tptp.class_Rings_Oordered__ring @t14)) % 1.22/1.46 (define @t674 () (@list @t245 @t76 @t133 @t667 @t62 @t14)) % 1.22/1.46 (define @t675 () (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP (tptp.hAPP @t216 (tptp.c_Groups_Ominus__class_Ominus @t14 @t76 @t62)) @t667) @t245)) % 1.22/1.46 (define @t676 () (@var "B_d" $$unsorted)) % 1.22/1.46 (define @t677 () (tptp.hBOOL (tptp.hAPP @t637 @t676))) % 1.22/1.46 (define @t678 () (= @t62 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t76 @t676))) % 1.22/1.46 (define @t679 () (@list @t676)) % 1.22/1.46 (define @t680 () (tptp.hBOOL (tptp.hAPP @t637 @t57))) % 1.22/1.46 (define @t681 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t62 @t76)) % 1.22/1.46 (define @t682 () (tptp.hBOOL (tptp.hAPP @t637 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t62 @t76)))) % 1.22/1.46 (define @t683 () (@list @t76 @t62 @t637)) % 1.22/1.46 (define @t684 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t101)) % 1.22/1.46 (define @t685 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t110 @t101)) % 1.22/1.46 (define @t686 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t81 @t79)) % 1.22/1.46 (define @t687 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t345 @t344)) % 1.22/1.46 (define @t688 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t114)) % 1.22/1.46 (define @t689 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t88 @t101)) % 1.22/1.46 (define @t690 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t110)) % 1.22/1.46 (define @t691 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t43)) % 1.22/1.46 (define @t692 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t110 @t88)) % 1.22/1.46 (define @t693 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t88 @t101)) % 1.22/1.46 (define @t694 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t110 @t693)) % 1.22/1.46 (define @t695 () (@var "V_z_H" $$unsorted)) % 1.22/1.46 (define @t696 () (@var "V_w_H" $$unsorted)) % 1.22/1.46 (define @t697 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t101 @t88)) % 1.22/1.46 (define @t698 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t186 @t187)) % 1.22/1.46 (define @t699 () (@var "V_B_2" $$unsorted)) % 1.22/1.46 (define @t700 () (@var "V_j_2" $$unsorted)) % 1.22/1.46 (define @t701 () (@var "V_i_2" $$unsorted)) % 1.22/1.46 (define @t702 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t701 @t114)) % 1.22/1.46 (define @t703 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t700 @t114)) % 1.22/1.46 (define @t704 () (@list @t114 @t700 @t701)) % 1.22/1.46 (define @t705 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t693) @t88)) % 1.22/1.46 (define @t706 () (not @t648)) % 1.22/1.46 (define @t707 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t101 @t88)) % 1.22/1.46 (define @t708 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t88)) % 1.22/1.46 (define @t709 () (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t43)) % 1.22/1.46 (define @t710 () (tptp.c_Orderings_Oord__class_Oless @t7 @t123 @t254)) % 1.22/1.46 (define @t711 () (tptp.c_Orderings_Oord__class_Oless @t7 @t124 @t129)) % 1.22/1.46 (define @t712 () (tptp.c_Orderings_Oord__class_Oless @t7 @t124 @t140)) % 1.22/1.46 (define @t713 () (tptp.c_Orderings_Oord__class_Oless @t7 @t30 @t125)) % 1.22/1.46 (define @t714 () (=> @t713 @t712)) % 1.22/1.46 (define @t715 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t7)) % 1.22/1.46 (define @t716 () (tptp.c_Orderings_Oord__class_Oless @t14 @t62 @t76)) % 1.22/1.46 (define @t717 () (= @t693 @t57)) % 1.22/1.46 (define @t718 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 @t101)) % 1.22/1.46 (define @t719 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t110 @t101)) % 1.22/1.46 (define @t720 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t110 @t88)) % 1.22/1.46 (define @t721 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t186 @t187)) % 1.22/1.46 (define @t722 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t721 @t110)) % 1.22/1.46 (define @t723 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t79 @t114)) % 1.22/1.46 (define @t724 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t81 @t114)) % 1.22/1.46 (define @t725 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t114 @t79)) % 1.22/1.46 (define @t726 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t114 @t81)) % 1.22/1.46 (define @t727 () (@list @t280 @t101 @t88)) % 1.22/1.46 (define @t728 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t280 @t88)) % 1.22/1.46 (define @t729 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t280 @t101)) % 1.22/1.46 (define @t730 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t566 @t563)) % 1.22/1.46 (define @t731 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t79)) % 1.22/1.46 (define @t732 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t89 @t101)) % 1.22/1.46 (define @t733 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t88 @t148)) % 1.22/1.46 (define @t734 () (tptp.c_Nat_OSuc @t186)) % 1.22/1.46 (define @t735 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t187 @t110)) % 1.22/1.46 (define @t736 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t187)) % 1.22/1.46 (define @t737 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t88)) % 1.22/1.46 (define @t738 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t79 @t271)) % 1.22/1.46 (define @t739 () (= @t738 (= @t79 @t81))) % 1.22/1.46 (define @t740 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t79 @t81)) % 1.22/1.46 (define @t741 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t81 @t79)) % 1.22/1.46 (define @t742 () (or @t741 @t113)) % 1.22/1.46 (define @t743 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t81 @t272)) % 1.22/1.46 (define @t744 () (@list @t81)) % 1.22/1.46 (define @t745 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t106 @t108)) % 1.22/1.46 (define @t746 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t106 @t107)) % 1.22/1.46 (define @t747 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t110 @t280)) % 1.22/1.46 (define @t748 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t187 @t186)) % 1.22/1.46 (define @t749 () (not @t113)) % 1.22/1.46 (define @t750 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t26 @t48)) % 1.22/1.46 (define @t751 () (tptp.c_Orderings_Oord__class_Oless @t14 @t213 @t120)) % 1.22/1.46 (define @t752 () (tptp.c_Orderings_Oord__class_Oless @t14 @t120 @t213)) % 1.22/1.46 (define @t753 () (not @t415)) % 1.22/1.46 (define @t754 () (tptp.class_Orderings_Olinorder @t14)) % 1.22/1.46 (define @t755 () (not @t752)) % 1.22/1.46 (define @t756 () (tptp.c_Orderings_Oord__class_Oless @t7 @t107 @t106)) % 1.22/1.46 (define @t757 () (tptp.c_Orderings_Oord__class_Oless @t7 @t106 @t107)) % 1.22/1.46 (define @t758 () (= @t755 @t415)) % 1.22/1.46 (define @t759 () (not @t757)) % 1.22/1.46 (define @t760 () (not @t151)) % 1.22/1.46 (define @t761 () (=> @t760 (=> @t759 @t756))) % 1.22/1.46 (define @t762 () (not (= @t107 @t106))) % 1.22/1.46 (define @t763 () (tptp.c_Orderings_Oord__class_Oless @t7 @t43 @t12)) % 1.22/1.46 (define @t764 () (@list @t12 @t43 @t7)) % 1.22/1.46 (define @t765 () (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t30)) % 1.22/1.46 (define @t766 () (tptp.c_Orderings_Oord__class_Oless @t7 @t43 @t30)) % 1.22/1.46 (define @t767 () (tptp.c_Orderings_Oord__class_Oless @t7 @t30 @t12)) % 1.22/1.46 (define @t768 () (tptp.c_Orderings_Oord__class_Oless @t7 @t106 @t105)) % 1.22/1.46 (define @t769 () (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t107 @t105) @t768)) % 1.22/1.46 (define @t770 () (tptp.c_Orderings_Oord__class_Oless @t7 @t105 @t106)) % 1.22/1.46 (define @t771 () (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t105 @t107) @t770)) % 1.22/1.46 (define @t772 () (tptp.c_Polynomial_Opoly__gcd @t7 @t12 @t43)) % 1.22/1.46 (define @t773 () (tptp.c_Polynomial_Opoly__gcd @t7 @t12 (tptp.c_Polynomial_Opoly__gcd @t7 @t43 @t30))) % 1.22/1.46 (define @t774 () (@var "V_t" $$unsorted)) % 1.22/1.46 (define @t775 () (@var "V_s" $$unsorted)) % 1.22/1.46 (define @t776 () (= @t668 (tptp.c_Groups_Ominus__class_Ominus @t14 @t133 @t245))) % 1.22/1.46 (define @t777 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t637 @t79) @t81))) % 1.22/1.46 (define @t778 () (tptp.c_Polynomial_Odegree @t7 @t750)) % 1.22/1.46 (define @t779 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t228 @t101)) % 1.22/1.46 (define @t780 () (@list @t30 @t43 @t12)) % 1.22/1.46 (define @t781 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t559 @t105)) % 1.22/1.46 (define @t782 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t105 @t559)) % 1.22/1.46 (define @t783 () (not @t297)) % 1.22/1.46 (define @t784 () (= @t668 @t61)) % 1.22/1.46 (define @t785 () (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t455)) % 1.22/1.46 (define @t786 () (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t12)) % 1.22/1.46 (define @t787 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t482)) % 1.22/1.46 (define @t788 () (tptp.c_Nat_OSuc @t787)) % 1.22/1.46 (define @t789 () (= @t213 @t16)) % 1.22/1.46 (define @t790 () (tptp.c_Polynomial_Opoly__gcd @t14 @t120 @t213)) % 1.22/1.46 (define @t791 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t81)) % 1.22/1.46 (define @t792 () (@var "V_u_2" $$unsorted)) % 1.22/1.46 (define @t793 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t700 @t701)) % 1.22/1.46 (define @t794 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t338 @t793) @t792) @t79)) % 1.22/1.46 (define @t795 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t338 @t700) @t792) @t79)) % 1.22/1.46 (define @t796 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t338 @t701) @t792) @t81)) % 1.22/1.46 (define @t797 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t796 @t795)) % 1.22/1.46 (define @t798 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t701 @t700)) % 1.22/1.46 (define @t799 () (@list @t79 @t81 @t792 @t700 @t701)) % 1.22/1.46 (define @t800 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t338 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t701 @t700)) @t792) @t81)) % 1.22/1.46 (define @t801 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t700 @t701)) % 1.22/1.46 (define @t802 () (@list @t79 @t81 @t792 @t701 @t700)) % 1.22/1.46 (define @t803 () (tptp.hAPP @t590 @t88)) % 1.22/1.46 (define @t804 () (@list @t101 @t88 @t186)) % 1.22/1.46 (define @t805 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t106)) % 1.22/1.46 (define @t806 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t107)) % 1.22/1.46 (define @t807 () (tptp.c_Orderings_Oord__class_Oless @t7 @t539 @t577)) % 1.22/1.46 (define @t808 () (@list @t106 @t101 @t7)) % 1.22/1.46 (define @t809 () (tptp.hAPP @t178 (tptp.c_Groups_Ominus__class_Ominus @t7 @t106 @t12))) % 1.22/1.46 (define @t810 () (tptp.hAPP @t809 @t43)) % 1.22/1.46 (define @t811 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t107 @t43)) % 1.22/1.46 (define @t812 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t251 @t180)) % 1.22/1.46 (define @t813 () (@list @t43 @t12 @t107 @t106 @t7)) % 1.22/1.46 (define @t814 () (= @t671 @t670)) % 1.22/1.46 (define @t815 () (tptp.class_Rings_Oring @t14)) % 1.22/1.46 (define @t816 () (@var "V_D_2" $$unsorted)) % 1.22/1.46 (define @t817 () (= @t691 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t491))) % 1.22/1.46 (define @t818 () (tptp.c_Orderings_Oord__class_Oless @t14 @t76 @t62)) % 1.22/1.46 (define @t819 () (tptp.c_Orderings_Oord__class_Oless @t14 @t133 @t61)) % 1.22/1.46 (define @t820 () (tptp.c_Orderings_Oord__class_Oless @t14 @t61 @t133)) % 1.22/1.46 (define @t821 () (or (and @t820 @t716) (and @t819 @t818))) % 1.22/1.46 (define @t822 () (tptp.c_Orderings_Oord__class_Oless @t14 @t621 @t620)) % 1.22/1.46 (define @t823 () (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t180)) % 1.22/1.46 (define @t824 () (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t43)) % 1.22/1.46 (define @t825 () (tptp.class_Rings_Olinordered__semiring__strict @t7)) % 1.22/1.46 (define @t826 () (tptp.c_Orderings_Oord__class_Oless @t7 @t180 @t54)) % 1.22/1.46 (define @t827 () (tptp.c_Orderings_Oord__class_Oless @t7 @t43 @t54)) % 1.22/1.46 (define @t828 () (=> @t786 @t824)) % 1.22/1.46 (define @t829 () (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t54)) % 1.22/1.46 (define @t830 () (tptp.class_Rings_Olinordered__ring__strict @t7)) % 1.22/1.46 (define @t831 () (tptp.c_Orderings_Oord__class_Oless @t7 @t241 @t205)) % 1.22/1.46 (define @t832 () (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t30)) % 1.22/1.46 (define @t833 () (tptp.c_Orderings_Oord__class_Oless @t7 @t331 @t330)) % 1.22/1.46 (define @t834 () (=> @t709 (=> @t832 @t833))) % 1.22/1.46 (define @t835 () (tptp.c_Orderings_Oord__class_Oless @t7 @t30 @t54)) % 1.22/1.46 (define @t836 () (tptp.c_Orderings_Oord__class_Oless @t7 @t43 @t124)) % 1.22/1.46 (define @t837 () (=> @t766 @t836)) % 1.22/1.46 (define @t838 () (tptp.c_Orderings_Oord__class_Oless @t14 @t61 @t62)) % 1.22/1.46 (define @t839 () (tptp.c_Orderings_Oord__class_Oless @t14 @t62 @t61)) % 1.22/1.46 (define @t840 () (= (tptp.c_Orderings_Oord__class_Oless @t14 @t93 @t61) @t839)) % 1.22/1.46 (define @t841 () (tptp.class_Rings_Olinordered__idom @t14)) % 1.22/1.46 (define @t842 () (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t46)) % 1.22/1.46 (define @t843 () (=> @t824 @t842)) % 1.22/1.46 (define @t844 () (tptp.c_Orderings_Oord__class_Oless @t7 @t46 @t54)) % 1.22/1.46 (define @t845 () (=> @t827 @t844)) % 1.22/1.46 (define @t846 () (tptp.hAPP @t178 @t88)) % 1.22/1.46 (define @t847 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t187 @t110)) % 1.22/1.46 (define @t848 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t110 @t187)) % 1.22/1.46 (define @t849 () (@list @t186 @t187 @t110)) % 1.22/1.46 (define @t850 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t433 @t110)) % 1.22/1.46 (define @t851 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t186 @t847)) % 1.22/1.46 (define @t852 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t748 @t110)) % 1.22/1.46 (define @t853 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t847 @t186)) % 1.22/1.46 (define @t854 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t88 @t482)) % 1.22/1.46 (define @t855 () (@var "B_j" $$unsorted)) % 1.22/1.46 (define @t856 () (@var "B_m" $$unsorted)) % 1.22/1.46 (define @t857 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t105 @t559)) % 1.22/1.46 (define @t858 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t105 @t601)) % 1.22/1.46 (define @t859 () (@list @t88 @t186)) % 1.22/1.46 (define @t860 () (forall @t104 (=> @t185 @t733))) % 1.22/1.46 (define @t861 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t345 @t344)) % 1.22/1.46 (define @t862 () (and @t688 @t741)) % 1.22/1.46 (define @t863 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t235 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t158 @t556))) % 1.22/1.46 (define @t864 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t120)) % 1.22/1.46 (define @t865 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 (tptp.hAPP @t582 @t79))) % 1.22/1.46 (define @t866 () (@list @t79 @t120)) % 1.22/1.46 (define @t867 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t33 @t228)) % 1.22/1.46 (define @t868 () (=> @t867 (= @t313 @t228))) % 1.22/1.46 (define @t869 () (=> @t51 @t868)) % 1.22/1.46 (define @t870 () (forall @t231 @t869)) % 1.22/1.46 (define @t871 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t671 @t670)) % 1.22/1.46 (define @t872 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t621 @t620)) % 1.22/1.46 (define @t873 () (tptp.c_Orderings_Oord__class_Oless @t7 @t241 @t326)) % 1.22/1.46 (define @t874 () (=> @t303 @t873)) % 1.22/1.46 (define @t875 () (=> @t303 @t709)) % 1.22/1.46 (define @t876 () (=> @t831 @t875)) % 1.22/1.46 (define @t877 () (tptp.class_Rings_Olinordered__semiring @t7)) % 1.22/1.46 (define @t878 () (=> @t833 @t875)) % 1.22/1.46 (define @t879 () (=> @t832 @t253)) % 1.22/1.46 (define @t880 () (not @t214)) % 1.22/1.46 (define @t881 () (tptp.c_Nat_OSuc @t187)) % 1.22/1.46 (define @t882 () (tptp.c_Nat_OSuc @t847)) % 1.22/1.46 (define @t883 () (@list @t88 @t187 @t110)) % 1.22/1.46 (define @t884 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t796 @t795)) % 1.22/1.46 (define @t885 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t88) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t434 @t101))) % 1.22/1.46 (define @t886 () (= @t796 @t795)) % 1.22/1.46 (define @t887 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t78 @t88)) % 1.22/1.46 (define @t888 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t78 @t101)) % 1.22/1.46 (define @t889 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t345 @t344)) % 1.22/1.46 (define @t890 () (=> @t688 @t274)) % 1.22/1.46 (define @t891 () (not @t527)) % 1.22/1.46 (define @t892 () (tptp.hAPP @t581 @t26)) % 1.22/1.46 (define @t893 () (tptp.hAPP @t892 @t88)) % 1.22/1.46 (define @t894 () (= @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t294 (tptp.hAPP (tptp.hAPP @t506 @t12) @t48)))) % 1.22/1.46 (define @t895 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t599 @t12)) % 1.22/1.46 (define @t896 () (@list @t48 @t294 @t12)) % 1.22/1.46 (define @t897 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t294)) % 1.22/1.46 (define @t898 () (tptp.hAPP @t463 @t88)) % 1.22/1.46 (define @t899 () (tptp.hAPP @t898 @t101)) % 1.22/1.46 (define @t900 () (@var "V_q_H" $$unsorted)) % 1.22/1.46 (define @t901 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t599 @t392)) % 1.22/1.46 (define @t902 () (@var "V_r_H" $$unsorted)) % 1.22/1.46 (define @t903 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t902 @t392)) % 1.22/1.46 (define @t904 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t506 @t392) @t900) @t902)) % 1.22/1.46 (define @t905 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t904)) % 1.22/1.46 (define @t906 () (@list @t902 @t900 @t392)) % 1.22/1.46 (define @t907 () (@list @t106)) % 1.22/1.46 (define @t908 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t106 @t107)) % 1.22/1.46 (define @t909 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t107 @t106)) % 1.22/1.46 (define @t910 () (and @t908 (not @t909))) % 1.22/1.46 (define @t911 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t106 @t105)) % 1.22/1.46 (define @t912 () (and @t911 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t105 @t106)))) % 1.22/1.46 (define @t913 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t107 @t105)) % 1.22/1.46 (define @t914 () (=> (and @t913 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t105 @t107))) @t912)) % 1.22/1.46 (define @t915 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t12 @t43)) % 1.22/1.46 (define @t916 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t43 @t12)) % 1.22/1.46 (define @t917 () (and @t915 (not @t916))) % 1.22/1.46 (define @t918 () (@list @t43 @t12)) % 1.22/1.46 (define @t919 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t12 @t30)) % 1.22/1.46 (define @t920 () (and @t919 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t30 @t12)))) % 1.22/1.46 (define @t921 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t43 @t30)) % 1.22/1.46 (define @t922 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t120 @t213)) % 1.22/1.46 (define @t923 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t213 @t120)) % 1.22/1.46 (define @t924 () (and @t922 (not @t923))) % 1.22/1.46 (define @t925 () (@list @t213 @t120)) % 1.22/1.46 (define @t926 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t900 @t48)) % 1.22/1.46 (define @t927 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t392 @t43)) % 1.22/1.46 (define @t928 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t902)) % 1.22/1.46 (define @t929 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t294 @t43)) % 1.22/1.46 (define @t930 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t904 @t599)) % 1.22/1.46 (define @t931 () (tptp.hAPP @t506 @t43)) % 1.22/1.46 (define @t932 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t931 @t48) @t294)) % 1.22/1.46 (define @t933 () (= @t932 @t904)) % 1.22/1.46 (define @t934 () (@list @t902 @t900 @t392 @t294 @t48 @t43)) % 1.22/1.46 (define @t935 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t48 @t900)) % 1.22/1.46 (define @t936 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t931 @t900) @t902) @t932)) % 1.22/1.46 (define @t937 () (@list @t294 @t48 @t902 @t900 @t43)) % 1.22/1.46 (define @t938 () (@list @t76 @t62 @t79)) % 1.22/1.46 (define @t939 () (@list @t43 @t101 @t12)) % 1.22/1.46 (define @t940 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t106)) % 1.22/1.46 (define @t941 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t107)) % 1.22/1.46 (define @t942 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t125) (tptp.c_Polynomial_Odegree @t7 @t125))) % 1.22/1.46 (define @t943 () (@var "V_r_2" $$unsorted)) % 1.22/1.46 (define @t944 () (= @t943 @t16)) % 1.22/1.46 (define @t945 () (tptp.c_Polynomial_Osmult @t7 @t12 @t106)) % 1.22/1.46 (define @t946 () (tptp.c_Polynomial_Opdivmod__rel @t7 @t106 @t107 @t48 @t294)) % 1.22/1.46 (define @t947 () (@var "V_q2" $$unsorted)) % 1.22/1.46 (define @t948 () (@var "V_q1" $$unsorted)) % 1.22/1.46 (define @t949 () (= @t948 @t947)) % 1.22/1.46 (define @t950 () (@var "V_r2" $$unsorted)) % 1.22/1.46 (define @t951 () (tptp.c_Polynomial_Opdivmod__rel @t7 @t106 @t107 @t947 @t950)) % 1.22/1.46 (define @t952 () (@var "V_r1" $$unsorted)) % 1.22/1.46 (define @t953 () (tptp.c_Polynomial_Opdivmod__rel @t7 @t106 @t107 @t948 @t952)) % 1.22/1.46 (define @t954 () (@list @t950 @t947 @t952 @t948 @t107 @t106 @t7)) % 1.22/1.46 (define @t955 () (= @t952 @t950)) % 1.22/1.46 (define @t956 () (tptp.hAPP @t171 @t107)) % 1.22/1.46 (define @t957 () (tptp.c_Polynomial_OpCons @t7 @t12 @t294)) % 1.22/1.46 (define @t958 () (tptp.c_Polynomial_OpCons @t7 @t12 @t106)) % 1.22/1.46 (define @t959 () (tptp.c_Polynomial_Odegree @t7 @t107)) % 1.22/1.46 (define @t960 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t107) @t959)) % 1.22/1.46 (define @t961 () (not @t641)) % 1.22/1.46 (define @t962 () (tptp.c_Nat__Transfer_Otsub @t106 @t107)) % 1.22/1.46 (define @t963 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t107 @t106)) % 1.22/1.46 (define @t964 () (=> @t963 (= @t962 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t106 @t107)))) % 1.22/1.46 (define @t965 () (@list @t106 @t107)) % 1.22/1.46 (define @t966 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t106 @t107)) % 1.22/1.46 (define @t967 () (tptp.class_RealVector_Oreal__normed__field @t7)) % 1.22/1.46 (define @t968 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t12 @t43)) % 1.22/1.46 (define @t969 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t968)) % 1.22/1.46 (define @t970 () (tptp.class_Rings_Odivision__ring @t7)) % 1.22/1.46 (define @t971 () (tptp.class_Rings_Odivision__ring__inverse__zero @t7)) % 1.22/1.46 (define @t972 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t43 @t30)) % 1.22/1.46 (define @t973 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t107 @t428)) % 1.22/1.46 (define @t974 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t106 @t428)) % 1.22/1.46 (define @t975 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t12 @t30)) % 1.22/1.46 (define @t976 () (= (tptp.hAPP (tptp.hAPP @t463 @t968) @t101) (tptp.c_Rings_Oinverse__class_Odivide @t7 @t539 @t577))) % 1.22/1.46 (define @t977 () (tptp.class_Fields_Ofield__inverse__zero @t7)) % 1.22/1.46 (define @t978 () (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t472 @t491) @t968)) % 1.22/1.46 (define @t979 () (= @t969 (tptp.c_Rings_Oinverse__class_Odivide @t7 @t12 @t491))) % 1.22/1.46 (define @t980 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t62 @t76)) % 1.22/1.46 (define @t981 () (tptp.class_Rings_Odivision__ring @t14)) % 1.22/1.46 (define @t982 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t12 @t12)) % 1.22/1.46 (define @t983 () (=> @t56 (= @t982 @t455))) % 1.22/1.46 (define @t984 () (= @t247 @t76)) % 1.22/1.46 (define @t985 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t76 @t133)) % 1.22/1.46 (define @t986 () (= @t62 @t985)) % 1.22/1.46 (define @t987 () (not @t617)) % 1.22/1.46 (define @t988 () (= @t76 @t247)) % 1.22/1.46 (define @t989 () (= @t985 @t62)) % 1.22/1.46 (define @t990 () (@list @t62 @t76 @t133 @t14)) % 1.22/1.46 (define @t991 () (not (= @t30 @t54))) % 1.22/1.46 (define @t992 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t30 @t43)) % 1.22/1.46 (define @t993 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t30 @t12)) % 1.22/1.46 (define @t994 () (=> @t823 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t993 @t992))) % 1.22/1.46 (define @t995 () (tptp.class_Fields_Olinordered__field__inverse__zero @t7)) % 1.22/1.46 (define @t996 () (tptp.class_Fields_Olinordered__field @t7)) % 1.22/1.46 (define @t997 () (tptp.class_Fields_Olinordered__field__inverse__zero @t14)) % 1.22/1.46 (define @t998 () (tptp.c_Orderings_Oord__class_Oless @t14 @t76 @t61)) % 1.22/1.46 (define @t999 () (tptp.c_Orderings_Oord__class_Oless @t14 @t61 @t76)) % 1.22/1.46 (define @t1000 () (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t966)) % 1.22/1.46 (define @t1001 () (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t107)) % 1.22/1.46 (define @t1002 () (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t106)) % 1.22/1.46 (define @t1003 () (tptp.c_Orderings_Oord__class_Oless @t7 @t966 @t54)) % 1.22/1.46 (define @t1004 () (tptp.c_Orderings_Oord__class_Oless @t7 @t107 @t54)) % 1.22/1.46 (define @t1005 () (tptp.c_Orderings_Oord__class_Oless @t7 @t106 @t54)) % 1.22/1.46 (define @t1006 () (tptp.c_Orderings_Oord__class_Oless @t7 @t975 @t972)) % 1.22/1.46 (define @t1007 () (=> @t617 @t63)) % 1.22/1.46 (define @t1008 () (tptp.class_Fields_Ofield__inverse__zero @t14)) % 1.22/1.46 (define @t1009 () (@list @t62 @t133 @t76 @t14)) % 1.22/1.46 (define @t1010 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t966)) % 1.22/1.46 (define @t1011 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t106 @t54)) % 1.22/1.46 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t966 @t54)) % 1.22/1.46 (define @t1013 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t107 @t559)) % 1.22/1.46 (define @t1014 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t106 @t105)) % 1.22/1.46 (define @t1015 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t559 @t105)) % 1.22/1.46 (define @t1016 () (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t559)) % 1.22/1.46 (define @t1017 () (@list @t105 @t559 @t107 @t106 @t7)) % 1.22/1.46 (define @t1018 () (tptp.c_Orderings_Oord__class_Oless @t7 @t1014 @t1013)) % 1.22/1.46 (define @t1019 () (not @t819)) % 1.22/1.46 (define @t1020 () (tptp.c_Orderings_Oord__class_Oless @t14 @t76 @t247)) % 1.22/1.46 (define @t1021 () (not @t820)) % 1.22/1.46 (define @t1022 () (tptp.c_Orderings_Oord__class_Oless @t14 @t247 @t76)) % 1.22/1.46 (define @t1023 () (tptp.c_Orderings_Oord__class_Oless @t14 @t62 @t985)) % 1.22/1.46 (define @t1024 () (tptp.c_Orderings_Oord__class_Oless @t14 @t985 @t62)) % 1.22/1.46 (define @t1025 () (tptp.class_Fields_Olinordered__field @t14)) % 1.22/1.46 (define @t1026 () (tptp.hAPP @t178 @t105)) % 1.22/1.46 (define @t1027 () (tptp.hAPP @t1026 @t107)) % 1.22/1.46 (define @t1028 () (@list @t106 @t105 @t107 @t7)) % 1.22/1.46 (define @t1029 () (=> @t823 (tptp.c_Orderings_Oord__class_Oless @t7 @t993 @t992))) % 1.22/1.46 (define @t1030 () (tptp.hAPP @t222 @t105)) % 1.22/1.46 (define @t1031 () (tptp.hAPP (tptp.hAPP @t178 @t559) @t107)) % 1.22/1.46 (define @t1032 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t559 @t105)) % 1.22/1.46 (define @t1033 () (not (= @t105 @t54))) % 1.22/1.46 (define @t1034 () (not (= @t107 @t54))) % 1.22/1.46 (define @t1035 () (@list @t559 @t106 @t105 @t107 @t7)) % 1.22/1.46 (define @t1036 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t106 @t1027)) % 1.22/1.46 (define @t1037 () (@list @t107 @t106 @t105 @t7)) % 1.22/1.46 (define @t1038 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t1036 @t107)) % 1.22/1.46 (define @t1039 () (tptp.hAPP @t1026 @t106)) % 1.22/1.46 (define @t1040 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t107 @t105)) % 1.22/1.46 (define @t1041 () (tptp.c_Rings_Oinverse__class_Odivide @t7 @t46 @t524)) % 1.22/1.46 (define @t1042 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t76 @t247)) % 1.22/1.46 (define @t1043 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t247 @t76)) % 1.22/1.46 (define @t1044 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t62 @t985)) % 1.22/1.46 (define @t1045 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t985 @t62)) % 1.22/1.46 (define @t1046 () (tptp.c_Divides_Odiv__class_Omod @t8 @t106 @t107)) % 1.22/1.46 (define @t1047 () (tptp.c_Polynomial_OpCons @t7 @t12 @t1046)) % 1.22/1.46 (define @t1048 () (@list @t107 @t106 @t12 @t7)) % 1.22/1.46 (define @t1049 () (@var "T" $$unsorted)) % 1.22/1.46 (define @t1050 () (tptp.class_Rings_Ocomm__semiring__0 @t1049)) % 1.22/1.46 (define @t1051 () (@list @t1049)) % 1.22/1.46 (define @t1052 () (tptp.class_Groups_Ocomm__monoid__add @t1049)) % 1.22/1.46 (define @t1053 () (forall @t1051 (=> @t1050 @t1052))) % 1.22/1.46 (define @t1054 () (tptp.class_Groups_Ozero @t1049)) % 1.22/1.46 (define @t1055 () (forall @t1051 (=> @t1050 @t1054))) % 1.22/1.46 (define @t1056 () (@var "T_1" $$unsorted)) % 1.22/1.46 (define @t1057 () (tptp.tc_Polynomial_Opoly @t1056)) % 1.22/1.46 (define @t1058 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1056)) % 1.22/1.46 (define @t1059 () (@list @t1056)) % 1.22/1.46 (define @t1060 () (@var "T_2" $$unsorted)) % 1.22/1.46 (define @t1061 () (tptp.tc_fun @t1060 @t1056)) % 1.22/1.46 (define @t1062 () (@list @t1060 @t1056)) % 1.22/1.46 (define @t1063 () (tptp.class_Rings_Oidom @t1056)) % 1.22/1.46 (define @t1064 () (tptp.class_Rings_Olinordered__idom @t1056)) % 1.22/1.46 (define @t1065 () (tptp.class_Rings_Ocomm__semiring__0 @t1056)) % 1.22/1.46 (define @t1066 () (tptp.class_Rings_Ocomm__semiring__1 @t1056)) % 1.22/1.46 (define @t1067 () (tptp.class_Groups_Ocomm__monoid__add @t1056)) % 1.22/1.46 (define @t1068 () (tptp.class_Groups_Oab__group__add @t1056)) % 1.22/1.46 (define @t1069 () (tptp.class_Rings_Ocomm__ring__1 @t1056)) % 1.22/1.46 (define @t1070 () (tptp.class_Rings_Ocomm__ring @t1056)) % 1.22/1.46 (define @t1071 () (tptp.hBOOL (tptp.c_fequal @t120 @t213))) % 1.22/1.46 (define @t1072 () (tptp.c_Polynomial_Odegree tptp.t_a tptp.v_p)) % 1.22/1.46 (define @t1073 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly tptp.t_a tptp.v_p tptp.v_h)) % 1.22/1.46 (define @t1074 () (tptp.c_Polynomial_Odegree tptp.t_a @t1073)) % 1.22/1.46 (define @t1075 () (tptp.tc_Polynomial_Opoly tptp.t_a)) % 1.22/1.46 (define @t1076 () (tptp.c_Groups_Ozero__class_Ozero @t1075)) % 1.22/1.46 (define @t1077 () (= tptp.v_p @t1076)) % 1.22/1.46 (define @t1078 () (tptp.c_Polynomial_OpCons tptp.t_a tptp.v_a @t1073)) % 1.22/1.46 (define @t1079 () (tptp.c_Polynomial_Osmult tptp.t_a tptp.v_h @t1073)) % 1.22/1.46 (define @t1080 () (tptp.c_Polynomial_Odegree tptp.t_a (tptp.c_Groups_Oplus__class_Oplus @t1075 @t1079 @t1078))) % 1.22/1.46 (define @t1081 () (tptp.class_Rings_Ocomm__semiring__0 tptp.t_a)) % 1.22/1.46 (define @t1082 () (= @t9 @t26)) % 1.22/1.46 (define @t1083 () (not @t39)) % 1.22/1.46 (define @t1084 () (or @t1083 @t1082 @t36)) % 1.22/1.46 (define @t1085 () (not @t1082)) % 1.22/1.46 (define @t1086 () (=> @t1085 @t36)) % 1.22/1.46 (define @t1087 () (tptp.c_Nat_OSuc @t1074)) % 1.22/1.46 (define @t1088 () (tptp.c_Polynomial_Odegree tptp.t_a @t1078)) % 1.22/1.46 (define @t1089 () (= @t1088 @t1087)) % 1.22/1.46 (define @t1090 () (tptp.class_Groups_Ozero tptp.t_a)) % 1.22/1.46 (define @t1091 () (not @t1090)) % 1.22/1.46 (define @t1092 () (= @t1076 @t1073)) % 1.22/1.46 (define @t1093 () (or @t1091 @t1092 @t1089)) % 1.22/1.46 (define @t1094 () (forall @t41 @t1084)) % 1.22/1.46 (define @t1095 () (= @t1073 @t1076)) % 1.22/1.46 (define @t1096 () (or @t1091 @t1095 @t1089)) % 1.22/1.46 (define @t1097 () (@list false)) % 1.22/1.46 (define @t1098 () (@list tptp.t_a)) % 1.22/1.46 (define @t1099 () (not @t1081)) % 1.22/1.46 (define @t1100 () (or @t1099 @t1090)) % 1.22/1.46 (define @t1101 () (@list false false)) % 1.22/1.46 (define @t1102 () (= @t16 @t20)) % 1.22/1.46 (define @t1103 () (= @t18 @t1102)) % 1.22/1.46 (define @t1104 () (= @t1077 @t1092)) % 1.22/1.46 (define @t1105 () (or @t1099 @t1104)) % 1.22/1.46 (define @t1106 () (forall @t24 (or (not @t22) @t1103))) % 1.22/1.46 (define @t1107 () (= @t1077 @t1095)) % 1.22/1.46 (define @t1108 () (or @t1099 @t1107)) % 1.22/1.46 (define @t1109 () (not @t1095)) % 1.22/1.46 (define @t1110 () (= @t228 @t313)) % 1.22/1.46 (define @t1111 () (not @t867)) % 1.22/1.46 (define @t1112 () (not @t51)) % 1.22/1.46 (define @t1113 () (or @t1112 @t1111 @t1110)) % 1.22/1.46 (define @t1114 () (=> @t867 @t1110)) % 1.22/1.46 (define @t1115 () (tptp.c_Polynomial_Odegree tptp.t_a @t1079)) % 1.22/1.46 (define @t1116 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1115 @t1088)) % 1.22/1.46 (define @t1117 () (not @t1116)) % 1.22/1.46 (define @t1118 () (tptp.class_Groups_Ocomm__monoid__add tptp.t_a)) % 1.22/1.46 (define @t1119 () (not @t1118)) % 1.22/1.46 (define @t1120 () (or @t1119 @t1117 (= @t1088 @t1080))) % 1.22/1.46 (define @t1121 () (forall @t231 @t1113)) % 1.22/1.46 (define @t1122 () (= @t1080 @t1088)) % 1.22/1.46 (define @t1123 () (or @t1119 @t1117 @t1122)) % 1.22/1.46 (define @t1124 () (or @t1099 @t1118)) % 1.22/1.46 (define @t1125 () (@list false true false)) % 1.22/1.46 (define @t1126 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1115 @t1074)) % 1.22/1.46 (define @t1127 () (or @t1099 @t1126)) % 1.22/1.46 (define @t1128 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1115 @t1087)) % 1.22/1.46 (define @t1129 () (not @t1126)) % 1.22/1.46 (define @t1130 () (or @t1129 @t1128)) % 1.22/1.46 (define @t1131 () (not @t1128)) % 1.22/1.46 (define @t1132 () (not @t1089)) % 1.22/1.46 (define @t1133 () (and @t1089 @t1117)) % 1.22/1.46 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.22/1.46 (assume @p2 (forall (@list @t10 @t7) (=> @t11 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t7 @t9 @t10) @t9)))) % 1.22/1.46 (assume @p3 (forall (@list @t10 @t12 @t7) (=> @t11 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t7 @t13 @t10) @t13)))) % 1.22/1.46 (assume @p4 @t25) % 1.22/1.46 (assume @p5 (forall (@list @t10 @t26 @t12 @t7) (=> @t11 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t7 @t28 @t10) (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.c_Polynomial_Osmult @t7 @t10 @t27) (tptp.c_Polynomial_OpCons @t7 @t12 @t27)))))) % 1.22/1.46 (assume @p6 (forall @t32 (=> @t11 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t31 @t28) @t9) @t29)))) % 1.22/1.46 (assume @p7 @t42) % 1.22/1.46 (assume @p8 (forall @t32 (=> @t11 (=> (= @t31 @t28) @t29)))) % 1.22/1.46 (assume @p9 (forall @t47 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t46 @t26) (tptp.c_Groups_Oplus__class_Oplus @t8 @t45 @t44))))) % 1.22/1.46 (assume @p10 (forall @t52 (=> @t51 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t28 @t50) (tptp.c_Polynomial_OpCons @t7 @t46 @t49))))) % 1.22/1.46 (assume @p11 (forall @t59 (=> @t58 (and (=> @t55 (= @t53 @t57)) (=> @t56 (= @t53 @t33)))))) % 1.22/1.46 (assume @p12 (forall @t60 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t54 @t26) @t9)))) % 1.22/1.46 (assume @p13 (forall @t66 (=> @t65 (= (= @t64 @t16) (or @t63 @t18))))) % 1.22/1.46 (assume @p14 (forall @t67 (=> @t39 (= (tptp.c_Polynomial_OpCons @t7 @t54 @t9) @t9)))) % 1.22/1.46 (assume @p15 (forall @t66 (=> @t69 (= (= @t68 @t16) (and @t63 @t18))))) % 1.22/1.46 (assume @p16 (forall @t71 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t49) (tptp.c_Groups_Oplus__class_Oplus @t8 @t45 @t70))))) % 1.22/1.46 (assume @p17 (forall @t72 (=> @t51 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t9 @t48) @t48)))) % 1.22/1.46 (assume @p18 (forall @t67 (=> @t39 (= (tptp.c_Polynomial_Odegree @t7 @t9) @t57)))) % 1.22/1.46 (assume @p19 (forall @t73 (=> @t39 (= (tptp.c_Polynomial_Odegree @t7 @t13) @t57)))) % 1.22/1.46 (assume @p20 (forall @t41 (=> @t39 (and (=> @t29 (= @t35 @t57)) @t38)))) % 1.22/1.46 (assume @p21 (forall (@list @t74 @t76 @t17 @t62 @t14) (=> @t69 (= (= @t68 (tptp.c_Polynomial_OpCons @t14 @t76 @t74)) (and @t77 @t75))))) % 1.22/1.46 (assume @p22 (forall @t73 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t9) @t9)))) % 1.22/1.46 (assume @p23 (forall @t60 (=> @t51 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t26 @t9) @t26)))) % 1.22/1.46 (assume @p24 (forall @t87 (= (= @t78 @t86) @t85))) % 1.22/1.46 (assume @p25 (forall @t87 (= (= @t86 @t78) @t85))) % 1.22/1.46 (assume @p26 (forall @t90 (not (= @t89 @t57)))) % 1.22/1.46 (assume @p27 (forall @t90 (not (= @t57 @t89)))) % 1.22/1.46 (assume @p28 (forall (@list @t91) (not (= (tptp.c_Nat_OSuc @t91) @t57)))) % 1.22/1.46 (assume @p29 (forall (@list @t92) (not (= @t57 (tptp.c_Nat_OSuc @t92))))) % 1.22/1.46 (assume @p30 (forall @t95 (=> @t94 (= (= @t93 @t61) @t63)))) % 1.22/1.46 (assume @p31 (forall @t98 (=> @t97 (= (= @t76 @t96) @t63)))) % 1.22/1.46 (assume @p32 (forall @t73 (=> @t51 @t99))) % 1.22/1.46 (assume @p33 (forall @t73 (=> @t100 @t99))) % 1.22/1.46 (assume @p34 (forall @t104 (= @t103 @t102))) % 1.22/1.46 (assume @p35 (forall @t109 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t108) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t107 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t106 @t105))))) % 1.22/1.46 (assume @p36 (forall @t112 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t103 @t110) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t88 @t111)))) % 1.22/1.46 (assume @p37 (forall @t117 (= (= @t116 @t115) @t113))) % 1.22/1.46 (assume @p38 (forall @t119 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t81 @t114) @t118) @t113))) % 1.22/1.46 (assume @p39 (forall @t122 (=> @t69 (= (= @t61 @t120) @t121)))) % 1.22/1.46 (assume @p40 (forall (@list @t30 @t12 @t7) (=> @t100 (= @t124 @t123)))) % 1.22/1.46 (assume @p41 (forall @t128 (=> @t100 (= @t127 (tptp.c_Groups_Oplus__class_Oplus @t7 @t30 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t125)))))) % 1.22/1.46 (assume @p42 (forall @t128 (=> @t100 (= @t127 (tptp.c_Groups_Oplus__class_Oplus @t7 @t124 @t125))))) % 1.22/1.46 (assume @p43 (forall @t132 (=> @t100 @t131))) % 1.22/1.46 (assume @p44 (forall @t132 (=> (tptp.class_Groups_Oab__semigroup__add @t7) @t131))) % 1.22/1.46 (assume @p45 (forall @t132 (=> @t100 (= @t130 (tptp.c_Groups_Oplus__class_Oplus @t7 @t124 @t43))))) % 1.22/1.46 (assume @p46 (forall @t138 (=> @t137 (= (= @t136 @t135) @t134)))) % 1.22/1.46 (assume @p47 (forall (@list @t133 @t62 @t76 @t14) (=> @t137 (= (= @t96 @t139) @t134)))) % 1.22/1.46 (assume @p48 (forall @t141 (=> @t100 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t46 @t126) (tptp.c_Groups_Oplus__class_Oplus @t7 @t124 @t140))))) % 1.22/1.46 (assume @p49 (forall @t132 (=> @t144 @t143))) % 1.22/1.46 (assume @p50 (forall @t132 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t7) @t143))) % 1.22/1.46 (assume @p51 (forall @t145 (=> @t144 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t43 @t12) @t123) @t142)))) % 1.22/1.46 (assume @p52 (forall @t104 (=> (= @t103 @t88) @t146))) % 1.22/1.46 (assume @p53 (forall @t87 (= (= @t86 @t57) (and @t82 @t83)))) % 1.22/1.46 (assume @p54 (forall @t90 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t88 @t57) @t88))) % 1.22/1.46 (assume @p55 (forall @t147 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t57 @t101) @t101))) % 1.22/1.46 (assume @p56 (forall @t147 (not (= @t101 @t148)))) % 1.22/1.46 (assume @p57 (forall @t147 (not (= @t148 @t101)))) % 1.22/1.46 (assume @p58 (forall (@list @t149 @t150) (= (= (tptp.c_Nat_OSuc @t150) (tptp.c_Nat_OSuc @t149)) (= @t150 @t149)))) % 1.22/1.46 (assume @p59 (forall @t152 (=> (= (tptp.c_Nat_OSuc @t106) (tptp.c_Nat_OSuc @t107)) @t151))) % 1.22/1.46 (assume @p60 (forall @t104 (= @t154 @t153))) % 1.22/1.46 (assume @p61 (forall @t104 (= @t155 @t153))) % 1.22/1.46 (assume @p62 (forall @t104 (= @t155 @t154))) % 1.22/1.46 (assume @p63 (forall @t73 (=> @t157 @t156))) % 1.22/1.46 (assume @p64 (forall @t73 (=> @t100 @t156))) % 1.22/1.46 (assume @p65 (forall @t73 (=> @t51 @t156))) % 1.22/1.46 (assume @p66 (forall @t95 (=> @t94 (= (= @t61 @t93) @t63)))) % 1.22/1.46 (assume @p67 (forall @t73 (=> @t157 @t99))) % 1.22/1.46 (assume @p68 (forall (@list @t17 @t62 @t14 @t158 @t2 @t159) (=> @t165 (=> @t164 (= @t162 (tptp.hAPP @t161 @t160)))))) % 1.22/1.46 (assume @p69 (forall @t167 (=> @t22 (= (= (tptp.c_Polynomial_Osynthetic__div @t14 @t17 @t133) @t16) (= @t166 @t57))))) % 1.22/1.46 (assume @p70 (forall @t170 (= (tptp.c_Nat_Onat_Onat__size @t169) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Onat_Onat__size @t168) @t78)))) % 1.22/1.46 (assume @p71 (forall (@list @t17 @t62 @t2 @t158 @t14 @t159) (=> @t165 (= @t162 (tptp.hAPP @t161 (tptp.c_If @t14 (tptp.c_fequal @t17 @t163) @t158 @t160)))))) % 1.22/1.46 (assume @p72 (forall @t175 (=> @t11 (= (tptp.hAPP @t172 (tptp.c_Polynomial_OpCons @t7 @t12 @t48)) (tptp.c_Groups_Oplus__class_Oplus @t8 @t45 @t174))))) % 1.22/1.46 (assume @p73 (forall @t71 (=> @t11 (= (tptp.hAPP (tptp.hAPP @t171 @t28) @t48) (tptp.c_Groups_Oplus__class_Oplus @t8 @t70 @t174))))) % 1.22/1.46 (assume @p74 (forall (@list @t14 @t158 @t2 @t159) (=> @t165 (=> @t164 (= (tptp.c_Polynomial_Opoly__rec @t14 @t159 @t158 @t2 @t163) @t158))))) % 1.22/1.46 (assume @p75 (forall @t73 (=> @t39 (= (tptp.c_Polynomial_Omonom @t7 @t12 @t57) @t13)))) % 1.22/1.46 (assume @p76 (forall @t177 (=> @t39 (= (tptp.c_Polynomial_Omonom @t7 @t12 @t148) (tptp.c_Polynomial_OpCons @t7 @t54 @t176))))) % 1.22/1.46 (assume @p77 (forall @t170 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t169) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t168) @t78)))) % 1.22/1.46 (assume @p78 (forall @t59 (=> @t39 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t35 @t34)))) % 1.22/1.46 (assume @p79 (forall @t147 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t57 @t101))) % 1.22/1.46 (assume @p80 (forall (@list @t101 @t43 @t88 @t12 @t7) (=> @t11 (= (tptp.hAPP (tptp.hAPP @t171 @t182) @t181) (tptp.c_Polynomial_Omonom @t7 @t180 @t103))))) % 1.22/1.46 (assume @p81 (forall @t104 (=> @t185 (=> @t184 @t183)))) % 1.22/1.46 (assume @p82 (forall @t189 (=> @t188 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t187 @t110) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t186 @t110))))) % 1.22/1.46 (assume @p83 (forall @t104 (=> @t183 @t185))) % 1.22/1.46 (assume @p84 (forall @t201 (=> @t100 (= @t200 (tptp.hAPP @t196 (tptp.hAPP @t192 @t190)))))) % 1.22/1.46 (assume @p85 (forall @t201 (=> @t100 (= @t200 (tptp.hAPP @t197 (tptp.hAPP @t199 @t190)))))) % 1.22/1.46 (assume @p86 (forall @t201 (=> @t100 (= @t200 (tptp.hAPP @t195 (tptp.hAPP @t192 @t198)))))) % 1.22/1.46 (assume @p87 (forall @t203 (=> @t100 (= @t202 (tptp.hAPP @t196 @t191))))) % 1.22/1.46 (assume @p88 (forall @t203 (=> @t100 (= @t202 (tptp.hAPP @t195 (tptp.hAPP @t192 @t193)))))) % 1.22/1.46 (assume @p89 (forall @t132 (=> (tptp.class_Groups_Oab__semigroup__mult @t7) (= (tptp.hAPP (tptp.hAPP @t178 @t180) @t30) (tptp.hAPP @t179 @t205))))) % 1.22/1.46 (assume @p90 (forall @t207 (=> @t100 (= @t206 (tptp.hAPP @t196 @t190))))) % 1.22/1.46 (assume @p91 (forall @t207 (=> @t100 (= @t206 (tptp.hAPP @t197 (tptp.hAPP @t195 @t190)))))) % 1.22/1.46 (assume @p92 (forall @t104 (or @t185 @t184))) % 1.22/1.46 (assume @p93 (forall @t209 (=> @t100 (= @t180 @t208)))) % 1.22/1.46 (assume @p94 (forall @t147 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t101))) % 1.22/1.46 (assume @p95 (forall @t147 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t101) @t101))) % 1.22/1.46 (assume @p96 (forall (@list @t76 @t79 @t62 @t14) (=> @t69 (= (= @t210 (tptp.c_Polynomial_Omonom @t14 @t76 @t79)) @t77)))) % 1.22/1.46 (assume @p97 (forall @t177 (=> @t39 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t211 @t101)))) % 1.22/1.46 (assume @p98 (forall @t212 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t181) (tptp.c_Polynomial_Omonom @t7 @t180 @t101))))) % 1.22/1.46 (assume @p99 (forall @t221 (=> @t220 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t219 @t61) @t215)))) % 1.22/1.46 (assume @p100 (forall @t227 (=> @t226 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t225)))) % 1.22/1.46 (assume @p101 (forall @t231 (=> @t11 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t230 @t229)))) % 1.22/1.46 (assume @p102 (forall @t73 (=> @t100 @t232))) % 1.22/1.46 (assume @p103 (forall @t73 (=> @t100 @t234))) % 1.22/1.46 (assume @p104 (forall (@list @t158 @t120 @t213 @t235 @t14) (=> @t97 (= (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t238 @t237) (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t236 @t158) (tptp.hAPP @t217 @t213))) (or (= @t235 @t120) (= @t213 @t158)))))) % 1.22/1.46 (assume @p105 (forall (@list @t43 @t88 @t12 @t7) (=> @t100 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t240 (tptp.hAPP @t204 @t88)) (tptp.hAPP @t239 @t88))))) % 1.22/1.46 (assume @p106 (forall @t132 (=> @t100 @t242))) % 1.22/1.46 (assume @p107 (forall @t249 (=> @t97 (= (and (not @t77) (not @t248)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t247 (tptp.hAPP @t243 @t245)) (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t246 @t245) @t244))))))) % 1.22/1.46 (assume @p108 (forall @t252 (=> @t100 (= (tptp.hAPP @t223 (tptp.c_Groups_Oplus__class_Oplus @t7 @t107 @t105)) (tptp.c_Groups_Oplus__class_Oplus @t7 @t251 @t250))))) % 1.22/1.46 (assume @p109 (forall @t257 (=> @t256 (=> @t255 @t253)))) % 1.22/1.46 (assume @p110 (forall @t259 (=> @t256 (=> @t258 @t253)))) % 1.22/1.46 (assume @p111 (forall @t141 (=> @t261 (=> @t253 (=> @t260 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t124 @t140)))))) % 1.22/1.46 (assume @p112 (forall @t132 (=> @t261 (=> @t253 @t255)))) % 1.22/1.46 (assume @p113 (forall @t132 (=> @t261 (=> @t253 @t258)))) % 1.22/1.46 (assume @p114 (forall @t265 (=> @t264 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t139 @t263) @t262)))) % 1.22/1.46 (assume @p115 (forall @t267 (=> @t264 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t135 @t266) @t262)))) % 1.22/1.46 (assume @p116 (forall @t268 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t79 @t57) @t83))) % 1.22/1.46 (assume @p117 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t57) @t57)) % 1.22/1.46 (assume @p118 (forall @t104 (=> @t269 @t185))) % 1.22/1.46 (assume @p119 (forall @t104 (=> @t270 (=> (not @t185) (= @t88 @t148))))) % 1.22/1.46 (assume @p120 (forall @t104 (=> @t185 @t270))) % 1.22/1.46 (assume @p121 (forall @t273 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t272 @t271) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t79 @t81)))) % 1.22/1.46 (assume @p122 (forall @t87 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t81 @t272) (or @t274 (= @t81 @t272))))) % 1.22/1.46 (assume @p123 (forall @t87 (= (not @t274) @t275))) % 1.22/1.46 (assume @p124 (forall @t147 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t148 @t101)))) % 1.22/1.46 (assume @p125 (forall @t279 (=> @t278 (not (=> @t185 (not @t276)))))) % 1.22/1.46 (assume @p126 (forall @t279 (=> @t278 @t185))) % 1.22/1.46 (assume @p127 (forall @t279 (=> @t278 @t276))) % 1.22/1.46 (assume @p128 (forall @t284 (=> @t188 (=> @t283 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t282 @t281))))) % 1.22/1.46 (assume @p129 (forall @t189 (=> @t188 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t282 @t285)))) % 1.22/1.46 (assume @p130 (forall @t287 (=> @t188 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t186 @t286)))) % 1.22/1.46 (assume @p131 (forall @t287 (=> @t188 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t186 @t288)))) % 1.22/1.46 (assume @p132 (forall @t117 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 @t115) @t274))) % 1.22/1.46 (assume @p133 (forall @t87 (= @t274 (exists @t291 (= @t79 @t290))))) % 1.22/1.46 (assume @p134 (forall @t292 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t102))) % 1.22/1.46 (assume @p135 (forall @t292 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t103))) % 1.22/1.46 (assume @p136 (forall @t60 (=> @t11 (= (tptp.hAPP @t172 @t9) @t9)))) % 1.22/1.46 (assume @p137 (forall @t72 (=> @t11 (= (tptp.hAPP (tptp.hAPP @t171 @t9) @t48) @t9)))) % 1.22/1.46 (assume @p138 (forall @t47 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t44) (tptp.c_Polynomial_Osmult @t7 @t180 @t26))))) % 1.22/1.46 (assume @p139 (forall @t71 (=> @t11 (= (tptp.hAPP (tptp.hAPP @t171 @t45) @t48) @t293)))) % 1.22/1.46 (assume @p140 (forall @t175 (=> @t11 (= (tptp.hAPP @t172 @t70) @t293)))) % 1.22/1.46 (assume @p141 (forall (@list @t294 @t48 @t26 @t7) (=> @t11 (= (tptp.hAPP (tptp.hAPP @t171 @t49) @t294) (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t172 @t294) (tptp.hAPP @t295 @t294)))))) % 1.22/1.46 (assume @p142 (= (tptp.c_Nat_Onat_Onat__size @t57) @t57)) % 1.22/1.46 (assume @p143 (forall @t221 (=> @t220 (= (= @t219 @t61) @t215)))) % 1.22/1.46 (assume @p144 (forall (@list @t125 @t30 @t43 @t12 @t294 @t7) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t7) (=> (not (= @t294 @t54)) (=> (and @t297 (not (= @t30 @t125))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 (tptp.hAPP @t296 @t30)) (tptp.c_Groups_Oplus__class_Oplus @t7 @t43 (tptp.hAPP @t296 @t125))))))))) % 1.22/1.46 (assume @p145 (forall @t209 (=> @t300 (=> @t299 (=> @t298 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t46 @t54)))))) % 1.22/1.46 (assume @p146 (forall @t304 (=> @t300 (=> @t303 (=> @t302 @t301))))) % 1.22/1.46 (assume @p147 (forall @t132 (=> @t300 (=> @t306 (=> @t305 @t301))))) % 1.22/1.46 (assume @p148 (forall @t221 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t14) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t61 @t120) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t61 @t213) (= @t307 @t215)))))) % 1.22/1.46 (assume @p149 (forall @t209 (=> @t300 (=> @t306 (=> @t308 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t46)))))) % 1.22/1.46 (assume @p150 (forall @t95 (=> @t94 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t93 @t61) @t309)))) % 1.22/1.46 (assume @p151 (forall @t95 (=> @t94 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t61 @t93) @t310)))) % 1.22/1.46 (assume @p152 (forall (@list @t30 @t7) (=> @t11 (= (tptp.c_Polynomial_Osynthetic__div @t7 @t9 @t30) @t9)))) % 1.22/1.46 (assume @p153 (forall @t47 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 (tptp.c_Polynomial_OpCons @t7 @t43 @t26)) (tptp.c_Polynomial_OpCons @t7 @t180 @t45))))) % 1.22/1.46 (assume @p154 @t312) % 1.22/1.46 (assume @p155 (forall @t316 (=> @t51 (=> @t315 (=> @t314 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t313 @t101)))))) % 1.22/1.46 (assume @p156 (forall @t317 (=> @t69 (= (= @t210 @t16) @t63)))) % 1.22/1.46 (assume @p157 (forall @t318 (=> @t39 (= (tptp.c_Polynomial_Omonom @t7 @t54 @t101) @t9)))) % 1.22/1.46 (assume @p158 (forall @t177 (=> @t39 (=> @t56 (= @t211 @t101))))) % 1.22/1.46 (assume @p159 (forall @t319 (=> @t51 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t176 @t181) (tptp.c_Polynomial_Omonom @t7 @t46 @t101))))) % 1.22/1.46 (assume @p160 (forall @t231 (=> @t58 (=> @t37 (=> @t320 (= @t230 @t229)))))) % 1.22/1.46 (assume @p161 (forall @t71 (=> @t11 (= (tptp.c_Polynomial_Opcompose @t7 @t28 @t48) (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 (tptp.hAPP @t295 @t321)))))) % 1.22/1.46 (assume @p162 (forall @t209 (=> @t323 (=> (or (and @t306 @t298) (and @t299 @t308)) @t322)))) % 1.22/1.46 (assume @p163 (forall @t209 (=> @t325 (=> (or (and @t306 @t308) (and @t299 @t298)) @t324)))) % 1.22/1.46 (assume @p164 (forall @t141 (=> @t328 (=> @t253 (=> @t260 (=> @t308 @t327)))))) % 1.22/1.46 (assume @p165 (forall @t141 (=> @t328 (=> @t253 (=> @t260 (=> @t306 @t327)))))) % 1.22/1.46 (assume @p166 (forall @t145 (=> @t325 (=> @t302 (=> @t333 @t332))))) % 1.22/1.46 (assume @p167 (forall @t145 (=> @t325 (=> @t302 (=> @t333 @t334))))) % 1.22/1.46 (assume @p168 (forall @t132 (=> (tptp.class_Rings_Oordered__comm__semiring @t7) @t335))) % 1.22/1.46 (assume @p169 (forall @t132 (=> @t328 @t335))) % 1.22/1.46 (assume @p170 (forall @t132 (=> @t328 (=> @t253 (=> @t303 @t334))))) % 1.22/1.46 (assume @p171 (forall @t119 (= (= @t342 @t340) @t337))) % 1.22/1.46 (assume @p172 (forall @t117 (= @t346 @t337))) % 1.22/1.46 (assume @p173 (forall @t87 (= (= @t347 @t57) (or @t82 @t83)))) % 1.22/1.46 (assume @p174 (forall @t90 (= (tptp.hAPP @t348 @t57) @t57))) % 1.22/1.46 (assume @p175 (forall @t147 (= (tptp.hAPP (tptp.hAPP @t338 @t57) @t101) @t57))) % 1.22/1.46 (assume @p176 (forall @t117 (= (= @t351 @t350) @t113))) % 1.22/1.46 (assume @p177 (forall @t355 (= (tptp.hAPP @t352 @t103) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t354 @t353)))) % 1.22/1.46 (assume @p178 (forall @t112 (= (tptp.hAPP (tptp.hAPP @t338 @t103) @t110) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t358 @t357)))) % 1.22/1.46 (assume @p179 (forall @t90 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t88 @t359))) % 1.22/1.46 (assume @p180 (forall @t90 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t88 (tptp.hAPP @t348 @t359)))) % 1.22/1.46 (assume @p181 (forall @t189 (=> @t188 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t363 @t361)))) % 1.22/1.46 (assume @p182 (forall @t189 (=> @t188 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t365 @t364)))) % 1.22/1.46 (assume @p183 (forall @t284 (=> @t188 (=> @t283 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t363 (tptp.hAPP @t360 @t280)))))) % 1.22/1.46 (assume @p184 (forall @t231 (=> @t11 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 @t321) (tptp.hAPP @t366 @t228))))) % 1.22/1.46 (assume @p185 (forall @t87 (= (= @t347 @t78) (and @t84 @t80)))) % 1.22/1.46 (assume @p186 (forall @t104 (= (tptp.hAPP (tptp.hAPP @t338 @t89) @t101) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t367)))) % 1.22/1.46 (assume @p187 (forall @t104 (= (tptp.hAPP @t348 @t148) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t88 @t367)))) % 1.22/1.46 (assume @p188 (forall @t117 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t351 @t350) @t274))) % 1.22/1.46 (assume @p189 (forall @t72 (=> @t11 (= (tptp.c_Polynomial_Opcompose @t7 @t9 @t48) @t9)))) % 1.22/1.46 (assume @p190 (forall @t87 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t78 @t347) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t78 @t81) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t78 @t79))))) % 1.22/1.46 (assume @p191 (forall @t73 (=> @t368 @t234))) % 1.22/1.46 (assume @p192 (forall @t73 (=> @t368 @t232))) % 1.22/1.46 (assume @p193 (forall @t371 (=> (tptp.class_Rings_Oring__no__zero__divisors @t14) (= (= @t370 @t61) (or @t63 @t369))))) % 1.22/1.46 (assume @p194 (forall @t209 (=> @t375 (=> @t56 (=> @t374 (not @t372)))))) % 1.22/1.46 (assume @p195 (forall @t209 (=> @t375 (=> @t372 (or @t55 @t373))))) % 1.22/1.46 (assume @p196 (forall @t132 (=> (tptp.class_Rings_Ocomm__semiring @t7) @t242))) % 1.22/1.46 (assume @p197 (forall (@list @t30 @t43 @t376 @t12 @t7) (=> (tptp.class_Rings_Osemiring @t7) (= (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t179 @t376) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t204 @t376) @t30)) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t239 @t376) @t30))))) % 1.22/1.46 (assume @p198 (forall @t73 (=> @t226 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t377)))) % 1.22/1.46 (assume @p199 (forall @t371 (=> @t220 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t61 @t370) @t380)))) % 1.22/1.46 (assume @p200 (forall @t371 (=> @t220 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t370 @t61) @t381)))) % 1.22/1.46 (assume @p201 (forall @t209 (=> @t323 (=> @t306 (=> @t308 @t324))))) % 1.22/1.46 (assume @p202 (forall @t209 (=> @t323 (=> @t306 (=> @t298 @t322))))) % 1.22/1.46 (assume @p203 (forall @t209 (=> @t323 (=> @t306 (=> @t298 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t208 @t54)))))) % 1.22/1.46 (assume @p204 (forall @t209 (=> @t323 (=> @t299 (=> @t308 @t322))))) % 1.22/1.46 (assume @p205 (forall @t209 (=> @t325 (=> @t299 (=> @t298 @t324))))) % 1.22/1.46 (assume @p206 (forall @t383 (=> @t382 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t106 @t106)))) % 1.22/1.46 (assume @p207 (forall @t387 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t114 @t385) (exists @t386 (= @t385 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t114 @t384)))))) % 1.22/1.46 (assume @p208 (forall @t109 (=> @t389 @t388))) % 1.22/1.46 (assume @p209 (forall @t390 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t106 @t105) @t388))) % 1.22/1.46 (assume @p210 (forall @t41 (=> @t58 (=> @t37 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t391 @t33))))) % 1.22/1.46 (assume @p211 (forall @t395 (=> @t394 (= (tptp.hAPP @t179 (tptp.c_Groups_Oplus__class_Oplus @t7 @t43 @t392)) (tptp.c_Groups_Oplus__class_Oplus @t7 @t180 @t393))))) % 1.22/1.46 (assume @p212 (forall @t401 (=> @t394 (= (tptp.hAPP @t397 @t400) (tptp.c_Groups_Oplus__class_Oplus @t7 @t399 @t398))))) % 1.22/1.46 (assume @p213 (forall @t404 (=> @t394 (= (tptp.hAPP (tptp.hAPP @t178 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t402)) @t43) (tptp.c_Groups_Oplus__class_Oplus @t7 @t180 @t403))))) % 1.22/1.46 (assume @p214 (forall @t112 (= (tptp.hAPP (tptp.hAPP @t338 @t367) @t110) (tptp.hAPP @t348 @t357)))) % 1.22/1.46 (assume @p215 (forall @t104 (= @t367 @t405))) % 1.22/1.46 (assume @p216 (forall @t409 (=> @t408 (= @t407 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t159 @t5 @t4)))))) % 1.22/1.46 (assume @p217 (forall @t227 (=> @t412 (or @t411 @t410)))) % 1.22/1.46 (assume @p218 (forall @t221 (=> @t416 (= @t415 (and @t414 @t413))))) % 1.22/1.46 (assume @p219 (forall @t227 (=> @t382 (=> @t151 @t411)))) % 1.22/1.46 (assume @p220 (forall (@list @t120 @t1 @t2 @t14 @t159) (=> @t408 (=> @t407 (tptp.c_Orderings_Oord__class_Oless__eq @t159 (tptp.hAPP @t2 @t120) (tptp.hAPP @t1 @t120)))))) % 1.22/1.46 (assume @p221 (forall @t418 (=> @t416 (=> @t413 @t417)))) % 1.22/1.46 (assume @p222 (forall @t132 (=> @t420 (=> @t297 (=> @t305 @t419))))) % 1.22/1.46 (assume @p223 (forall @t132 (=> @t422 (=> @t297 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t30 @t43) @t421))))) % 1.22/1.46 (assume @p224 (forall @t132 (=> @t420 (=> @t253 (=> @t142 @t419))))) % 1.22/1.46 (assume @p225 (forall @t145 (=> @t422 (=> @t302 (=> @t142 @t421))))) % 1.22/1.46 (assume @p226 (forall @t227 (=> @t422 (=> @t411 (=> @t410 @t151))))) % 1.22/1.46 (assume @p227 (forall @t252 (=> @t382 (=> @t411 (=> @t423 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t106 @t105)))))) % 1.22/1.46 (assume @p228 (forall @t424 (=> @t422 (=> @t410 (=> @t411 @t151))))) % 1.22/1.46 (assume @p229 (forall @t426 (=> @t422 (=> @t410 (=> @t425 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t105 @t106)))))) % 1.22/1.46 (assume @p230 (forall @t227 (=> @t412 (=> (not @t411) @t410)))) % 1.22/1.46 (assume @p231 (forall @t383 (=> @t394 (= (tptp.hAPP @t223 @t54) @t54)))) % 1.22/1.46 (assume @p232 (forall @t73 (=> @t394 @t232))) % 1.22/1.46 (assume @p233 (forall @t427 (=> @t394 (= (tptp.hAPP @t233 @t107) @t54)))) % 1.22/1.46 (assume @p234 (forall (@list @t43 @t7) (=> @t394 (= (tptp.hAPP @t233 @t43) @t54)))) % 1.22/1.46 (assume @p235 (forall @t431 (=> @t394 (= (tptp.hAPP (tptp.hAPP @t178 @t400) @t428) (tptp.c_Groups_Oplus__class_Oplus @t7 @t430 @t429))))) % 1.22/1.46 (assume @p236 (forall (@list @t110 @t187 @t432 @t186) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t434 @t110)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t338 @t433) @t432) @t110)))) % 1.22/1.46 (assume @p237 (forall @t117 (= @t346 (or @t336 @t113)))) % 1.22/1.46 (assume @p238 (forall (@list @t294 @t48 @t30 @t26 @t7) (=> @t11 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t26 (tptp.c_Polynomial_Osmult @t7 @t30 @t48)) (tptp.c_Polynomial_OpCons @t7 @t294 @t48)) (and (= @t294 @t438) (= @t48 @t436)))))) % 1.22/1.46 (assume @p239 (forall @t440 (=> @t11 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t26 (tptp.c_Polynomial_Osmult @t7 @t30 @t436)) @t439)))) % 1.22/1.46 (assume @p240 (forall (@list @t62 @t17 @t14) (=> @t65 (= (= (tptp.hAPP @t441 @t62) @t61) (or @t18 (not (= (tptp.c_Polynomial_Oorder @t14 @t62 @t17) @t57))))))) % 1.22/1.46 (assume @p241 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t57)) % 1.22/1.46 (assume @p242 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t57)) % 1.22/1.46 (assume @p243 (forall @t443 (=> @t442 (= (= @t441 (tptp.c_Polynomial_Opoly @t14 @t74)) @t75)))) % 1.22/1.46 (assume @p244 (forall @t444 (=> @t442 (= (= @t441 (tptp.c_Polynomial_Opoly @t14 @t16)) @t18)))) % 1.22/1.46 (assume @p245 (forall @t446 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t321) @t106) (tptp.hAPP @t437 @t445))))) % 1.22/1.46 (assume @p246 (forall @t383 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t9) @t106) @t54)))) % 1.22/1.46 (assume @p247 (forall @t448 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t45) @t106) (tptp.hAPP @t179 @t447))))) % 1.22/1.46 (assume @p248 (forall @t446 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t49) @t106) (tptp.c_Groups_Oplus__class_Oplus @t7 @t447 @t445))))) % 1.22/1.46 (assume @p249 (forall @t446 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t173) @t106) (tptp.hAPP (tptp.hAPP @t178 @t447) @t445))))) % 1.22/1.46 (assume @p250 (forall (@list @t106 @t10 @t26 @t7) (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t27) @t106) (tptp.hAPP @t437 (tptp.c_Groups_Oplus__class_Oplus @t7 @t10 @t106)))))) % 1.22/1.46 (assume @p251 (forall (@list @t30 @t26 @t12 @t7) (=> @t11 (= (tptp.c_Polynomial_Osynthetic__div @t7 @t28 @t30) @t439)))) % 1.22/1.46 (assume @p252 (forall @t448 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t28) @t106) (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 (tptp.hAPP @t223 @t447)))))) % 1.22/1.46 (assume @p253 (forall @t231 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t173) @t229) (tptp.hAPP (tptp.hAPP @t178 @t452) @t450))))) % 1.22/1.46 (assume @p254 (forall @t459 (=> (tptp.class_Rings_Olinordered__semiring__1 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t106 @t12) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t107 @t12) (=> @t458 (=> @t457 (=> @t456 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t454 @t12))))))))) % 1.22/1.46 (assume @p255 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool tptp.c_fFalse) @t57)) % 1.22/1.46 (assume @p256 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool tptp.c_fTrue) @t57)) % 1.22/1.46 (assume @p257 (forall (@list @t460 @t79 @t2 @t14) (=> @t416 (=> (forall @t386 (tptp.c_Orderings_Oord__class_Oless__eq @t14 (tptp.hAPP @t2 @t384) (tptp.hAPP @t2 (tptp.c_Nat_OSuc @t384)))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t79 @t460) (tptp.c_Orderings_Oord__class_Oless__eq @t14 (tptp.hAPP @t2 @t79) (tptp.hAPP @t2 @t460))))))) % 1.22/1.46 (assume @p258 (forall (@list @t26 @t30 @t7) (=> @t462 (= (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP (tptp.hAPP @t171 (tptp.c_Polynomial_OpCons @t7 (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t30) @t461)) @t436) (tptp.c_Polynomial_OpCons @t7 @t438 @t9)) @t26)))) % 1.22/1.46 (assume @p259 (forall (@list @t106 @t101 @t12 @t7) (=> @t100 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t176) @t106) (tptp.hAPP @t179 @t465))))) % 1.22/1.46 (assume @p260 (forall @t383 (=> @t100 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t466) @t106) @t455)))) % 1.22/1.46 (assume @p261 (forall (@list @t106 @t26 @t7) (=> @t468 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t467) @t106) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t447))))) % 1.22/1.46 (assume @p262 (forall (@list @t106 @t101 @t26 @t7) (=> @t100 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t470) @t106) (tptp.hAPP (tptp.hAPP @t463 @t447) @t101))))) % 1.22/1.46 (assume @p263 (forall (@list @t26 @t12 @t14) (=> @t471 (= (tptp.c_Groups_Ouminus__class_Ouminus @t15 (tptp.c_Polynomial_OpCons @t14 @t12 @t26)) (tptp.c_Polynomial_OpCons @t14 (tptp.c_Groups_Ouminus__class_Ouminus @t14 @t12) (tptp.c_Groups_Ouminus__class_Ouminus @t15 @t26)))))) % 1.22/1.46 (assume @p264 (forall @t59 (=> @t473 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t28) (tptp.c_Polynomial_OpCons @t7 @t472 @t467))))) % 1.22/1.46 (assume @p265 (forall @t59 (=> @t468 (= (tptp.c_Polynomial_Osmult @t7 @t472 @t26) @t474)))) % 1.22/1.46 (assume @p266 (forall @t177 (=> @t473 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t176) (tptp.c_Polynomial_Omonom @t7 @t472 @t101))))) % 1.22/1.46 (assume @p267 (forall @t318 (=> @t100 (and (=> @t146 (= @t475 @t455)) (=> @t476 (= @t475 @t54)))))) % 1.22/1.46 (assume @p268 (forall @t177 (=> @t100 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t477) @t101) @t455)))) % 1.22/1.46 (assume @p269 (forall @t371 (=> @t480 (= (= @t479 @t478) @t77)))) % 1.22/1.46 (assume @p270 (forall @t371 (=> @t480 (= (= @t479 @t76) (= @t478 @t62))))) % 1.22/1.46 (assume @p271 (forall @t371 (=> @t480 (= @t481 (= @t76 @t479))))) % 1.22/1.46 (assume @p272 (forall @t383 (=> @t100 (= (tptp.hAPP @t464 @t482) @t106)))) % 1.22/1.46 (assume @p273 (forall @t122 (=> (tptp.class_Groups_Oone @t14) (= (= @t483 @t120) @t484)))) % 1.22/1.46 (assume @p274 (forall @t73 (=> @t485 (= (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t472) @t12)))) % 1.22/1.46 (assume @p275 (forall @t221 (=> @t69 (= (= (tptp.c_Polynomial_Ocoeff @t14 @t120) (tptp.c_Polynomial_Ocoeff @t14 @t213)) @t415)))) % 1.22/1.46 (assume @p276 (forall @t487 (=> @t473 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t467) @t101) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t486))))) % 1.22/1.46 (assume @p277 (forall @t443 (=> @t69 (= @t75 (forall @t386 (= (tptp.hAPP @t488 @t384) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t14 @t74) @t384))))))) % 1.22/1.46 (assume @p278 (forall @t383 (=> @t100 (= (tptp.hAPP @t464 @t57) @t455)))) % 1.22/1.46 (assume @p279 (forall @t122 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t14) (= (= @t218 @t483) (or @t484 (= @t120 (tptp.c_Groups_Ouminus__class_Ouminus @t14 @t483))))))) % 1.22/1.46 (assume @p280 (forall @t383 (=> @t462 (= @t490 (tptp.hAPP (tptp.hAPP @t178 @t489) @t106))))) % 1.22/1.46 (assume @p281 (forall @t95 (=> @t94 (= (= @t479 @t62) @t63)))) % 1.22/1.46 (assume @p282 (forall @t95 (=> @t480 (= (= @t479 @t61) @t63)))) % 1.22/1.46 (assume @p283 (forall @t95 (=> @t94 (= (= @t62 @t479) @t63)))) % 1.22/1.46 (assume @p284 (forall @t95 (=> @t480 (= (= @t61 @t479) (= @t61 @t62))))) % 1.22/1.46 (assume @p285 (forall @t67 (=> @t485 (= (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t54) @t54)))) % 1.22/1.46 (assume @p286 (forall @t209 (=> (tptp.class_Groups_Oordered__ab__group__add @t7) (=> @t253 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t491 @t472))))) % 1.22/1.46 (assume @p287 (forall @t98 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t478 @t479) @t262)))) % 1.22/1.46 (assume @p288 (forall @t371 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t479 @t76) (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t478 @t62))))) % 1.22/1.46 (assume @p289 (forall @t371 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t62 @t478) (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t76 @t479))))) % 1.22/1.46 (assume @p290 (forall @t67 (=> @t100 (= @t466 @t461)))) % 1.22/1.46 (assume @p291 (forall @t227 (=> @t394 (= (tptp.hAPP (tptp.hAPP @t178 @t490) @t107) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t251))))) % 1.22/1.46 (assume @p292 (forall @t209 (=> @t394 (= @t495 @t493)))) % 1.22/1.46 (assume @p293 (forall (@list @t106 @t396 @t7) (=> @t394 (= (tptp.hAPP @t397 @t490) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t399))))) % 1.22/1.46 (assume @p294 (forall @t209 (=> @t394 (= @t496 @t493)))) % 1.22/1.46 (assume @p295 (forall @t209 (=> @t497 (= @t493 @t496)))) % 1.22/1.46 (assume @p296 (forall @t209 (=> @t497 (= @t493 @t495)))) % 1.22/1.46 (assume @p297 (forall @t209 (=> @t497 (= @t495 @t496)))) % 1.22/1.46 (assume @p298 (forall @t209 (=> @t497 (= (tptp.hAPP @t494 @t491) @t180)))) % 1.22/1.46 (assume @p299 (forall @t371 (=> @t65 (= (= (tptp.hAPP @t246 @t62) (tptp.hAPP @t243 @t76)) (or @t77 @t481))))) % 1.22/1.46 (assume @p300 (forall (@list @t48 @t107 @t106 @t7) (=> @t100 (= (tptp.hAPP (tptp.hAPP @t463 @t251) @t48) (tptp.hAPP @t500 (tptp.hAPP @t498 @t48)))))) % 1.22/1.46 (assume @p301 (forall @t209 (=> @t485 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t472 @t46) @t43)))) % 1.22/1.46 (assume @p302 (forall @t209 (=> @t485 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 (tptp.c_Groups_Oplus__class_Oplus @t7 @t472 @t43)) @t43)))) % 1.22/1.46 (assume @p303 (forall @t209 (=> @t485 (= @t501 (tptp.c_Groups_Oplus__class_Oplus @t7 @t491 @t472))))) % 1.22/1.46 (assume @p304 (forall @t209 (=> @t473 (= @t501 (tptp.c_Groups_Oplus__class_Oplus @t7 @t472 @t491))))) % 1.22/1.46 (assume @p305 (forall @t67 (=> @t502 (not (= @t54 @t455))))) % 1.22/1.46 (assume @p306 (forall @t67 (=> @t502 (not (= @t455 @t54))))) % 1.22/1.46 (assume @p307 (forall @t109 (= (tptp.hAPP @t504 @t108) (tptp.hAPP (tptp.hAPP @t506 @t505) (tptp.hAPP @t504 @t105))))) % 1.22/1.46 (assume @p308 (forall @t73 (=> @t508 @t507))) % 1.22/1.46 (assume @p309 (forall @t73 (=> @t100 @t507))) % 1.22/1.46 (assume @p310 (forall @t73 (=> @t509 @t507))) % 1.22/1.46 (assume @p311 (forall @t73 (=> @t508 @t510))) % 1.22/1.46 (assume @p312 (forall @t73 (=> @t100 @t510))) % 1.22/1.46 (assume @p313 (forall @t73 (=> @t509 @t510))) % 1.22/1.46 (assume @p314 (forall @t513 (=> @t100 (= (tptp.hAPP (tptp.hAPP @t463 @t512) @t48) (tptp.hAPP @t464 (tptp.hAPP @t511 @t48)))))) % 1.22/1.46 (assume @p315 (forall @t109 (= (tptp.hAPP (tptp.hAPP @t503 @t505) @t105) (tptp.hAPP @t504 (tptp.hAPP (tptp.hAPP @t338 @t107) @t105))))) % 1.22/1.46 (assume @p316 (forall @t67 (=> @t473 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t9) @t9)))) % 1.22/1.46 (assume @p317 (forall @t60 (=> @t473 (= (tptp.c_Polynomial_Odegree @t7 @t467) @t33)))) % 1.22/1.46 (assume @p318 (forall @t59 (=> @t468 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t467) @t474)))) % 1.22/1.46 (assume @p319 (forall @t87 (= (= @t347 @t482) @t516))) % 1.22/1.46 (assume @p320 (forall @t147 (= (tptp.hAPP @t356 @t482) @t101))) % 1.22/1.46 (assume @p321 (forall @t87 (= (= @t482 @t347) @t516))) % 1.22/1.46 (assume @p322 (forall @t147 (= (tptp.hAPP (tptp.hAPP @t338 @t482) @t101) @t101))) % 1.22/1.46 (assume @p323 (forall @t60 (=> @t100 (= (tptp.c_Polynomial_Osmult @t7 @t455 @t26) @t26)))) % 1.22/1.46 (assume @p324 (forall @t177 (=> @t100 (= (tptp.c_Polynomial_Odegree @t7 @t477) @t101)))) % 1.22/1.46 (assume @p325 (forall @t95 (=> @t94 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t479 @t62) @t310)))) % 1.22/1.46 (assume @p326 (forall @t95 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t479 @t61) @t310)))) % 1.22/1.46 (assume @p327 (forall @t95 (=> @t94 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t62 @t479) @t309)))) % 1.22/1.46 (assume @p328 (forall @t95 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t61 @t479) @t309)))) % 1.22/1.46 (assume @p329 (forall @t209 (=> @t485 (=> (= @t46 @t54) (= @t472 @t43))))) % 1.22/1.46 (assume @p330 (forall @t73 (=> @t473 @t517))) % 1.22/1.46 (assume @p331 (forall @t73 (=> @t485 @t517))) % 1.22/1.46 (assume @p332 (forall @t371 (=> @t480 (= @t481 (= @t136 @t61))))) % 1.22/1.46 (assume @p333 (forall @t73 (=> @t485 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t472) @t54)))) % 1.22/1.46 (assume @p334 (forall @t520 (=> @t100 (= @t519 @t518)))) % 1.22/1.46 (assume @p335 (forall @t520 (=> @t100 (= @t518 @t519)))) % 1.22/1.46 (assume @p336 (forall @t520 (=> @t100 (= (tptp.hAPP @t500 @t106) @t519)))) % 1.22/1.46 (assume @p337 (forall @t513 (=> @t100 (= (tptp.hAPP (tptp.hAPP @t178 @t512) @t499) (tptp.hAPP @t464 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t26 @t48)))))) % 1.22/1.46 (assume @p338 (forall @t67 (=> @t521 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t455)))) % 1.22/1.46 (assume @p339 (forall @t67 (=> @t521 (not (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t455 @t54))))) % 1.22/1.46 (assume @p340 (forall (@list @t88 @t12 @t7) (=> @t100 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t240 @t88) @t523)))) % 1.22/1.46 (assume @p341 (forall (@list @t12 @t88 @t7) (=> @t100 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t88 @t240) @t523)))) % 1.22/1.46 (assume @p342 (forall (@list @t88 @t7) (=> @t100 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t88 @t88) (tptp.hAPP (tptp.hAPP @t178 @t524) @t88))))) % 1.22/1.46 (assume @p343 (forall @t318 (=> @t39 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t9) @t101) @t54)))) % 1.22/1.46 (assume @p344 (forall @t59 (=> @t39 (= (tptp.hAPP @t525 @t57) @t12)))) % 1.22/1.46 (assume @p345 (forall @t526 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t45) @t101) (tptp.hAPP @t179 @t486))))) % 1.22/1.46 (assume @p346 (forall @t526 (=> @t39 (= (tptp.hAPP @t525 @t148) @t486)))) % 1.22/1.46 (assume @p347 (= @t482 @t78)) % 1.22/1.46 (assume @p348 (forall @t147 (= @t148 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t482 @t101)))) % 1.22/1.46 (assume @p349 (forall @t147 (= @t148 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 @t482)))) % 1.22/1.46 (assume @p350 (forall @t104 (=> (= @t88 @t367) (or (= @t101 @t482) @t527)))) % 1.22/1.46 (assume @p351 (forall @t67 (=> @t100 (= (tptp.c_Polynomial_Odegree @t7 @t466) @t57)))) % 1.22/1.46 (assume @p352 (forall @t529 (=> @t51 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t49) @t101) (tptp.c_Groups_Oplus__class_Oplus @t7 @t486 @t528))))) % 1.22/1.46 (assume @p353 (forall @t532 (=> @t39 (and (=> @t183 (= @t530 @t12)) (=> @t531 (= @t530 @t54)))))) % 1.22/1.46 (assume @p354 (forall @t227 (=> @t536 (=> @t535 (=> @t534 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.hAPP @t222 @t106) @t106))))))) % 1.22/1.46 (assume @p355 (forall @t227 (=> @t536 (=> @t535 (=> @t534 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t251 @t106))))))) % 1.22/1.46 (assume @p356 (forall @t487 (=> @t39 (=> (not @t537) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t101 @t33))))) % 1.22/1.46 (assume @p357 (forall @t487 (=> @t100 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 @t470) (tptp.hAPP @t366 @t101))))) % 1.22/1.46 (assume @p358 (forall @t60 (=> @t39 (=> @t37 (not (= @t452 @t54)))))) % 1.22/1.46 (assume @p359 (forall @t444 (=> @t69 (= (= (tptp.hAPP @t488 @t166) @t61) @t18)))) % 1.22/1.46 (assume @p360 (forall @t543 (=> @t521 (=> @t542 (=> @t306 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t12 @t455) (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t541 @t539))))))) % 1.22/1.46 (assume @p361 (forall (@list @t101 @t294 @t7) (=> @t521 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t294) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t294 @t455) (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.hAPP (tptp.hAPP @t463 @t294) @t148) @t294)))))) % 1.22/1.46 (assume @p362 (forall @t221 (=> @t65 (= (= (tptp.hAPP (tptp.hAPP @t546 @t120) @t545) (tptp.hAPP (tptp.hAPP @t546 @t213) @t545)) (or @t415 (= @t120 @t544)))))) % 1.22/1.46 (assume @p363 (forall @t543 (=> @t521 (=> @t542 (=> @t547 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t539 @t541)))))) % 1.22/1.46 (assume @p364 (forall @t177 (=> @t548 (= (tptp.hAPP (tptp.hAPP @t463 @t472) @t101) (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP (tptp.hAPP @t463 @t489) @t101)) @t539))))) % 1.22/1.46 (assume @p365 (forall @t318 (=> @t552 (and (=> @t146 (= @t550 @t455)) (=> @t476 (= @t550 @t54)))))) % 1.22/1.46 (assume @p366 (forall @t319 (=> @t521 (=> (= @t555 @t554) (=> @t306 (=> @t308 @t297)))))) % 1.22/1.46 (assume @p367 (forall @t557 (= (tptp.hAPP (tptp.hAPP @t506 @t556) @t105) @t105))) % 1.22/1.46 (assume @p368 (forall @t557 (= (tptp.hAPP @t558 @t556) @t105))) % 1.22/1.46 (assume @p369 (forall @t562 (= (tptp.hAPP (tptp.hAPP @t506 @t561) @t559) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t560)))) % 1.22/1.46 (assume @p370 (forall @t569 (= (tptp.hAPP @t564 @t568) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t567 @t565)))) % 1.22/1.46 (assume @p371 (forall @t574 (= (tptp.hAPP (tptp.hAPP @t506 @t568) @t559) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t573 @t571)))) % 1.22/1.46 (assume @p372 (forall @t576 (= (tptp.hAPP (tptp.hAPP @t506 (tptp.hAPP @t572 @t563)) @t575) (tptp.hAPP @t572 (tptp.hAPP @t570 @t575))))) % 1.22/1.46 (assume @p373 (forall @t562 (= @t560 (tptp.hAPP @t564 @t105)))) % 1.22/1.46 (assume @p374 (forall @t73 (=> @t509 (= (tptp.hAPP @t538 @t482) @t12)))) % 1.22/1.46 (assume @p375 (forall @t177 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t7) (=> @t56 (not (= @t539 @t54)))))) % 1.22/1.46 (assume @p376 (forall @t212 (=> @t508 (= (tptp.hAPP (tptp.hAPP @t463 @t180) @t101) (tptp.hAPP @t578 @t577))))) % 1.22/1.46 (assume @p377 (forall @t177 (=> @t509 (= @t580 @t579)))) % 1.22/1.46 (assume @p378 (forall @t318 (=> @t509 (= (tptp.hAPP (tptp.hAPP @t463 @t455) @t101) @t455)))) % 1.22/1.46 (assume @p379 (forall (@list @t81 @t120) (= (= (tptp.hAPP @t582 @t81) @t78) (or @t82 (= @t120 @t78))))) % 1.22/1.46 (assume @p380 (forall @t147 (= (tptp.hAPP (tptp.hAPP @t581 @t78) @t101) @t78))) % 1.22/1.46 (assume @p381 (forall @t584 (=> @t509 (= (tptp.hAPP @t538 @t367) (tptp.hAPP (tptp.hAPP @t463 @t583) @t101))))) % 1.22/1.46 (assume @p382 (forall @t177 (=> @t521 (=> @t306 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t54 @t539))))) % 1.22/1.46 (assume @p383 (forall @t212 (=> @t521 (=> @t253 (=> @t306 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t539 @t577)))))) % 1.22/1.46 (assume @p384 (forall @t221 (=> @t480 (= @t307 (= @t213 @t585))))) % 1.22/1.46 (assume @p385 (forall @t177 (=> @t521 (=> @t547 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t455 @t539))))) % 1.22/1.46 (assume @p386 (forall @t317 (=> (and @t589 (tptp.class_Rings_Omult__zero @t14) (tptp.class_Rings_Ono__zero__divisors @t14) (tptp.class_Rings_Ozero__neq__one @t14)) (= (= @t588 @t61) (and @t63 @t586))))) % 1.22/1.46 (assume @p387 (forall @t318 (=> @t552 (= (tptp.hAPP @t549 @t148) @t54)))) % 1.22/1.46 (assume @p388 (forall @t177 (=> @t509 (= @t555 @t580)))) % 1.22/1.46 (assume @p389 (forall @t177 (=> @t551 (= @t555 @t579)))) % 1.22/1.46 (assume @p390 (forall @t73 (=> @t551 (= (tptp.hAPP @t538 @t57) @t455)))) % 1.22/1.46 (assume @p391 (forall @t584 (=> @t509 (= (tptp.hAPP @t538 @t103) (tptp.hAPP (tptp.hAPP @t178 @t583) @t539))))) % 1.22/1.46 (assume @p392 (forall @t592 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t78 @t186) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t78 @t591)))) % 1.22/1.46 (assume @p393 (forall @t319 (=> @t521 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t555 @t554) (=> @t308 @t253))))) % 1.22/1.46 (assume @p394 (forall (@list @t14) (=> @t589 (= @t546 (tptp.c_Power_Opower_Opower @t14 @t483 @t216))))) % 1.22/1.46 (assume @p395 (forall @t41 (=> @t58 (=> @t37 (and @t595 @t594))))) % 1.22/1.46 (assume @p396 (forall @t41 (=> @t58 (=> @t37 @t594)))) % 1.22/1.46 (assume @p397 (forall @t227 (=> @t597 (=> @t411 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t596 @t490))))) % 1.22/1.46 (assume @p398 (forall @t221 (=> @t598 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t585 @t544) @t413)))) % 1.22/1.46 (assume @p399 (forall @t73 (=> @t100 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t54)))) % 1.22/1.46 (assume @p400 (not (= @t599 @t556))) % 1.22/1.46 (assume @p401 (forall @t557 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t600 @t105) @t599)))) % 1.22/1.46 (assume @p402 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t599) @t599)) % 1.22/1.46 (assume @p403 (forall @t562 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t602) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t561 @t601)))) % 1.22/1.46 (assume @p404 (forall @t557 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t561 @t105) @t599))) % 1.22/1.46 (assume @p405 (forall @t557 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t561) @t105))) % 1.22/1.46 (assume @p406 (forall (@list @t101 @t107 @t106 @t7) (=> @t100 (=> @t603 (tptp.c_Rings_Odvd__class_Odvd @t7 @t465 (tptp.hAPP @t498 @t101)))))) % 1.22/1.46 (assume @p407 (forall @t73 (=> @t100 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t54 @t12) @t55)))) % 1.22/1.46 (assume @p408 (forall @t209 (=> @t100 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t180)))) % 1.22/1.46 (assume @p409 (forall @t209 (=> @t100 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t208)))) % 1.22/1.46 (assume @p410 (forall @t132 (=> @t100 (=> @t605 @t604)))) % 1.22/1.46 (assume @p411 (forall @t259 (=> @t100 (=> @t606 @t604)))) % 1.22/1.46 (assume @p412 (forall @t141 (=> @t100 (=> @t605 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t30 @t125) (tptp.c_Rings_Odvd__class_Odvd @t7 @t241 @t326)))))) % 1.22/1.46 (assume @p413 (forall (@list @t110 @t43 @t12 @t7) (=> (tptp.class_Rings_Odvd @t7) (=> (= @t12 (tptp.hAPP @t204 @t110)) (tptp.c_Rings_Odvd__class_Odvd @t7 @t43 @t12))))) % 1.22/1.46 (assume @p414 (forall @t132 (=> @t100 (=> @t607 @t606)))) % 1.22/1.46 (assume @p415 (forall @t132 (=> @t100 (=> @t607 @t608)))) % 1.22/1.46 (assume @p416 (forall @t132 (=> @t100 (=> @t605 (=> @t606 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t129)))))) % 1.22/1.46 (assume @p417 (forall @t73 (=> @t100 (tptp.c_Rings_Odvd__class_Odvd @t7 @t455 @t12)))) % 1.22/1.46 (assume @p418 (forall @t221 (=> @t610 (= (tptp.c_Rings_Odvd__class_Odvd @t14 @t120 @t544) @t609)))) % 1.22/1.46 (assume @p419 (forall @t221 (=> @t610 (= (tptp.c_Rings_Odvd__class_Odvd @t14 @t585 @t213) @t609)))) % 1.22/1.46 (assume @p420 (forall @t189 (=> @t611 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t110 @t186) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t110 @t187))))) % 1.22/1.46 (assume @p421 (forall @t132 (=> @t100 (=> @t605 (=> @t608 @t606))))) % 1.22/1.46 (assume @p422 (forall @t73 (=> @t100 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t12)))) % 1.22/1.46 (assume @p423 (forall @t557 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t599 @t105) @t105))) % 1.22/1.46 (assume @p424 (forall @t557 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t105 @t599) @t105))) % 1.22/1.46 (assume @p425 (forall @t562 (= @t602 @t612))) % 1.22/1.46 (assume @p426 (forall @t109 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t106 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t107 @t105)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t107 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t106 @t105))))) % 1.22/1.46 (assume @p427 (forall @t576 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t568 @t575) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t566 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t563 @t575))))) % 1.22/1.46 (assume @p428 (forall @t71 (=> @t100 (=> @t614 @t613)))) % 1.22/1.46 (assume @p429 (forall @t616 (=> @t100 (=> @t613 @t615)))) % 1.22/1.46 (assume @p430 (forall @t265 (=> @t65 (= (tptp.c_Rings_Odvd__class_Odvd @t14 @t621 @t620) @t618)))) % 1.22/1.46 (assume @p431 (forall @t267 (=> @t65 (= (tptp.c_Rings_Odvd__class_Odvd @t14 @t247 @t244) @t618)))) % 1.22/1.46 (assume @p432 (forall (@list @t88 @t43 @t101 @t12 @t7) (=> @t100 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t539 @t43) (=> @t185 (tptp.c_Rings_Odvd__class_Odvd @t7 @t583 @t43)))))) % 1.22/1.46 (assume @p433 (forall (@list @t88 @t101 @t107 @t106 @t7) (=> @t100 (=> @t603 (=> @t184 (tptp.c_Rings_Odvd__class_Odvd @t7 @t465 (tptp.hAPP @t498 @t88))))))) % 1.22/1.46 (assume @p434 (forall @t532 (=> @t100 (=> @t185 (tptp.c_Rings_Odvd__class_Odvd @t7 @t583 @t539))))) % 1.22/1.46 (assume @p435 (forall @t175 (=> @t622 (=> @t615 (=> @t56 @t613))))) % 1.22/1.46 (assume @p436 (forall @t616 (=> @t622 (=> @t613 (=> @t56 @t614))))) % 1.22/1.46 (assume @p437 (forall @t626 (=> @t625 (=> @t624 (= (tptp.c_Rings_Odvd__class_Odvd @t15 @t17 (tptp.c_Polynomial_Osmult @t14 @t62 @t74)) @t623))))) % 1.22/1.46 (assume @p438 (forall @t231 (=> @t58 (=> (= @t452 @t450) (=> @t613 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t48 @t26) (= @t26 @t48))))))) % 1.22/1.46 (assume @p439 (forall @t626 (=> @t625 (= (tptp.c_Rings_Odvd__class_Odvd @t15 @t64 @t74) (and (=> @t63 @t627) (=> @t624 @t623)))))) % 1.22/1.46 (assume @p440 (forall @t231 (=> @t58 (=> @t613 (=> @t320 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t33 @t228)))))) % 1.22/1.46 (assume @p441 (forall (@list @t62 @t629 @t628 @t14) (= (tptp.hAPP @t630 @t57) @t628))) % 1.22/1.46 (assume @p442 (forall (@list @t79 @t62 @t629 @t628 @t14) (= (tptp.hAPP @t630 @t272) (tptp.hAPP (tptp.hAPP @t629 @t62) (tptp.hAPP @t630 @t79))))) % 1.22/1.46 (assume @p443 (forall @t73 (=> @t631 (= @t377 @t12)))) % 1.22/1.46 (assume @p444 (forall @t383 (=> @t631 (= @t224 @t106)))) % 1.22/1.46 (assume @p445 (forall @t209 (=> @t631 (= (tptp.hAPP @t179 @t180) @t180)))) % 1.22/1.46 (assume @p446 (forall @t383 (=> @t597 (= (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t490) @t106)))) % 1.22/1.46 (assume @p447 (forall (@list @t120 @t632 @t159 @t14) (=> (tptp.class_Groups_Ouminus @t14) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t634 @t632) @t120) (tptp.c_Groups_Ouminus__class_Ouminus @t14 @t633))))) % 1.22/1.46 (assume @p448 (forall @t221 (=> @t598 (= (= @t585 @t544) @t415)))) % 1.22/1.46 (assume @p449 (forall @t167 (=> @t65 (= (= (tptp.hAPP @t441 @t133) @t61) (tptp.c_Rings_Odvd__class_Odvd @t15 (tptp.c_Polynomial_OpCons @t14 @t636 @t635) @t17))))) % 1.22/1.46 (assume @p450 (forall (@list @t17 @t133 @t14) (=> @t65 (= (tptp.c_Rings_Odvd__class_Odvd @t15 (tptp.c_Polynomial_OpCons @t14 @t133 @t635) @t17) (= (tptp.hAPP @t441 @t636) @t61))))) % 1.22/1.46 (assume @p451 (forall @t59 (=> @t58 @t595))) % 1.22/1.46 (assume @p452 (forall (@list @t385 @t637 @t14) (=> (and @t638 (tptp.class_Rings_Osemiring__0 @t14)) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t637 (tptp.hAPP (tptp.hAPP @t216 @t385) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t14 @t385 (tptp.c_Groups_Oplus__class_Oplus @t14 @t3 @t61)) (tptp.hBOOL (tptp.hAPP @t637 @t3)))))))) % 1.22/1.46 (assume @p453 (forall @t227 (=> @t622 (and (=> @t642 (= @t640 @t54)) (=> @t643 (= @t640 @t455)))))) % 1.22/1.46 (assume @p454 (forall @t487 (=> @t39 (=> @t315 (=> @t537 (or @t29 @t644)))))) % 1.22/1.46 (assume @p455 (forall @t459 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t7) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t106 @t12) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t107 @t12) (=> @t458 (=> @t457 (=> @t456 (tptp.c_Orderings_Oord__class_Oless @t7 @t454 @t12))))))))) % 1.22/1.46 (assume @p456 (forall @t227 (=> @t462 (= (tptp.c_Groups_Ominus__class_Ominus @t7 (tptp.hAPP @t464 @t545) (tptp.hAPP @t498 @t545)) (tptp.hAPP @t646 @t400))))) % 1.22/1.46 (assume @p457 (forall (@list @t110) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t78 @t110))) % 1.22/1.46 (assume @p458 (forall @t147 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t57)))) % 1.22/1.46 (assume @p459 (forall @t147 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t148))) % 1.22/1.46 (assume @p460 (forall @t104 (=> @t648 @t647))) % 1.22/1.46 (assume @p461 (forall @t227 (=> @t622 (tptp.c_Rings_Odvd__class_Odvd @t8 @t639 @t106)))) % 1.22/1.46 (assume @p462 (forall @t227 (=> @t622 (tptp.c_Rings_Odvd__class_Odvd @t8 @t639 @t107)))) % 1.22/1.46 (assume @p463 (forall @t147 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t148))) % 1.22/1.46 (assume @p464 (forall @t650 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t235 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t158 @t556)) @t649))) % 1.22/1.46 (assume @p465 (forall @t651 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t556 @t158) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t599 @t158)))) % 1.22/1.46 (assume @p466 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t599 @t556)) % 1.22/1.46 (assume @p467 (forall @t657 (=> @t656 (=> @t655 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t654 @t653) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t120 @t213)))))) % 1.22/1.46 (assume @p468 (forall @t584 (=> @t521 (=> @t658 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t583 @t539) @t648))))) % 1.22/1.46 (assume @p469 (forall @t543 (=> @t521 (=> @t659 (=> @t658 (tptp.c_Orderings_Oord__class_Oless @t7 @t539 @t541)))))) % 1.22/1.46 (assume @p470 (forall @t662 (= @t661 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t245 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t660))))) % 1.22/1.46 (assume @p471 (forall @t662 (= @t661 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t245) @t660)))) % 1.22/1.46 (assume @p472 (forall @t355 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t664 @t88) (tptp.hAPP @t664 @t101)) (=> (not (= @t110 @t599)) @t663)))) % 1.22/1.46 (assume @p473 (forall (@list @t660 @t81 @t114) (=> (not (= @t114 @t599)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t81 @t660) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t666 (tptp.hAPP @t665 @t660)))))) % 1.22/1.46 (assume @p474 (forall @t674 (=> @t673 (= @t672 (tptp.c_Orderings_Oord__class_Oless @t14 @t669 @t245))))) % 1.22/1.46 (assume @p475 (forall @t674 (=> @t673 (= @t672 (tptp.c_Orderings_Oord__class_Oless @t14 @t133 @t675))))) % 1.22/1.46 (assume @p476 (forall @t683 (= @t682 (not (or (and @t681 (not @t680)) (exists @t679 (and @t678 (not @t677)))))))) % 1.22/1.46 (assume @p477 (forall @t683 (= @t682 (and (=> @t681 @t680) (forall @t679 (=> @t678 @t677)))))) % 1.22/1.46 (assume @p478 (forall (@list @t101 @t110) (=> @t685 (=> @t684 @t276)))) % 1.22/1.46 (assume @p479 (forall @t117 (=> @t688 (= @t687 @t686)))) % 1.22/1.46 (assume @p480 (forall @t355 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t354 @t353) (=> @t690 @t689)))) % 1.22/1.46 (assume @p481 (forall @t209 (=> @t485 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t691 @t43) @t12)))) % 1.22/1.46 (assume @p482 (forall @t209 (=> @t485 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t46 @t43) @t12)))) % 1.22/1.46 (assume @p483 (forall @t209 (=> @t473 (= (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t691) (tptp.c_Groups_Ominus__class_Ominus @t7 @t43 @t12))))) % 1.22/1.46 (assume @p484 (forall @t355 (=> @t694 (=> @t692 (=> @t184 @t685))))) % 1.22/1.46 (assume @p485 (forall @t355 (=> @t694 (=> @t685 (=> @t184 @t692))))) % 1.22/1.46 (assume @p486 (forall (@list @t105 @t695 @t559 @t696) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t696 @t559) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t695 @t105) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t696 @t695) @t612))))) % 1.22/1.46 (assume @p487 (forall (@list @t101 @t105) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t105 @t101) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t599 @t101) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t105 @t101))))) % 1.22/1.46 (assume @p488 (forall @t104 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t88) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t101) (=> @t663 (=> @t697 @t183)))))) % 1.22/1.46 (assume @p489 (forall @t252 (=> @t462 (=> @t603 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t106 @t105) (tptp.c_Rings_Odvd__class_Odvd @t7 @t106 (tptp.c_Groups_Ominus__class_Ominus @t7 @t107 @t105))))))) % 1.22/1.46 (assume @p490 (forall @t104 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t599 @t88) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t88 @t101) (not @t697))))) % 1.22/1.46 (assume @p491 (forall @t189 (=> @t698 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t186 @t110) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t187 @t110))))) % 1.22/1.46 (assume @p492 (forall (@list @t120 @t699 @t632 @t159 @t14) (=> (tptp.class_Groups_Ominus @t14) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t634 @t632 @t699) @t120) (tptp.c_Groups_Ominus__class_Ominus @t14 @t633 (tptp.hAPP @t699 @t120)))))) % 1.22/1.46 (assume @p493 (forall @t704 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t701 @t703) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t702 @t700)))) % 1.22/1.46 (assume @p494 (forall @t104 (=> @t706 @t705))) % 1.22/1.46 (assume @p495 (forall @t104 (=> @t708 (=> @t648 (not @t707))))) % 1.22/1.46 (assume @p496 (forall @t257 (=> @t256 (=> @t710 @t709)))) % 1.22/1.46 (assume @p497 (forall @t259 (=> @t256 (=> @t711 @t709)))) % 1.22/1.46 (assume @p498 (forall @t141 (=> @t715 (=> @t709 @t714)))) % 1.22/1.46 (assume @p499 (forall @t132 (=> @t715 (=> @t709 @t710)))) % 1.22/1.46 (assume @p500 (forall @t132 (=> @t715 (=> @t709 @t711)))) % 1.22/1.46 (assume @p501 (forall @t265 (=> @t264 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t139 @t263) @t716)))) % 1.22/1.46 (assume @p502 (forall @t267 (=> @t264 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t135 @t266) @t716)))) % 1.22/1.46 (assume @p503 (forall @t147 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t57 @t101) @t57))) % 1.22/1.46 (assume @p504 (forall @t90 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t88 @t57) @t88))) % 1.22/1.46 (assume @p505 (forall @t90 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t88 @t88) @t57))) % 1.22/1.46 (assume @p506 (forall @t104 (=> @t717 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t88) @t57) @t183)))) % 1.22/1.46 (assume @p507 (forall @t112 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t718 (tptp.c_Nat_OSuc @t110)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t693 @t110)))) % 1.22/1.46 (assume @p508 (forall @t104 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 @t148) @t693))) % 1.22/1.46 (assume @p509 (forall @t98 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t478 @t479) @t716)))) % 1.22/1.46 (assume @p510 (forall @t371 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t479 @t76) (tptp.c_Orderings_Oord__class_Oless @t14 @t478 @t62))))) % 1.22/1.46 (assume @p511 (forall @t371 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t62 @t478) (tptp.c_Orderings_Oord__class_Oless @t14 @t76 @t479))))) % 1.22/1.46 (assume @p512 (forall (@list @t79 @t114) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t114 @t118) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t114 @t79)))) % 1.22/1.46 (assume @p513 (forall @t279 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t277 @t111) @t693))) % 1.22/1.46 (assume @p514 (forall @t355 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t720 @t719) @t693))) % 1.22/1.46 (assume @p515 (forall @t189 (= @t722 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t186 @t285)))) % 1.22/1.46 (assume @p516 (forall @t292 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t102 @t101) @t88))) % 1.22/1.46 (assume @p517 (forall @t104 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t103 @t101) @t88))) % 1.22/1.46 (assume @p518 (forall @t117 (=> @t726 (=> @t725 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t724 @t723) @t274))))) % 1.22/1.46 (assume @p519 (forall @t355 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t110 @t88) (=> @t276 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t88 @t110) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t110)) @t693))))) % 1.22/1.46 (assume @p520 (forall @t117 (=> @t726 (=> @t725 (= (= @t724 @t723) @t113))))) % 1.22/1.46 (assume @p521 (forall @t592 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t186 @t101) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t186)) @t186)))) % 1.22/1.46 (assume @p522 (forall @t727 (=> @t185 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t88 @t280) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t280))))) % 1.22/1.46 (assume @p523 (forall @t727 (=> @t185 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t729 @t728)))) % 1.22/1.46 (assume @p524 (forall @t104 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t693 @t88))) % 1.22/1.46 (assume @p525 (forall @t569 (= (tptp.hAPP @t564 @t730) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t567 @t565)))) % 1.22/1.46 (assume @p526 (forall @t574 (= (tptp.hAPP (tptp.hAPP @t506 @t730) @t559) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t573 @t571)))) % 1.22/1.46 (assume @p527 (forall @t112 (= (tptp.hAPP (tptp.hAPP @t338 @t693) @t110) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t358 @t357)))) % 1.22/1.46 (assume @p528 (forall @t355 (= (tptp.hAPP @t352 @t693) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t354 @t353)))) % 1.22/1.46 (assume @p529 (forall @t268 (= @t586 @t731))) % 1.22/1.46 (assume @p530 (forall @t104 (=> @t648 @t476))) % 1.22/1.46 (assume @p531 (forall @t147 (=> @t476 @t684))) % 1.22/1.46 (assume @p532 (forall @t60 (=> @t473 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t26 @t9) @t26)))) % 1.22/1.46 (assume @p533 (forall @t104 (=> @t647 @t648))) % 1.22/1.46 (assume @p534 (forall @t104 (=> @t732 @t648))) % 1.22/1.46 (assume @p535 (forall @t104 (=> @t733 (=> @t706 @t183)))) % 1.22/1.46 (assume @p536 (forall @t189 (=> @t736 (=> @t735 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t734 @t110))))) % 1.22/1.46 (assume @p537 (forall @t104 (=> @t648 (=> (not (= @t89 @t101)) @t732)))) % 1.22/1.46 (assume @p538 (forall @t104 (=> @t648 @t733))) % 1.22/1.46 (assume @p539 (forall @t292 (=> (not @t737) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t89) @t183)))) % 1.22/1.46 (assume @p540 (forall @t273 (=> (not @t740) @t739))) % 1.22/1.46 (assume @p541 (forall @t87 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t271 @t272) @t741))) % 1.22/1.46 (assume @p542 (forall @t87 (= @t743 @t742))) % 1.22/1.46 (assume @p543 (forall @t87 (= (not @t741) @t738))) % 1.22/1.46 (assume @p544 (forall @t744 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t81 @t482) @t515))) % 1.22/1.46 (assume @p545 (forall @t109 (=> @t746 @t745))) % 1.22/1.46 (assume @p546 (forall @t390 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t106 @t105) @t745))) % 1.22/1.46 (assume @p547 (forall @t189 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t433 @t110) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t110)))) % 1.22/1.46 (assume @p548 (forall (@list @t101 @t88 @t280 @t110) (=> @t747 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t88 @t280) @t719) @t648)))) % 1.22/1.46 (assume @p549 (forall @t284 (=> @t736 (=> @t747 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t282 @t281))))) % 1.22/1.46 (assume @p550 (forall @t189 (=> @t736 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t282 @t285)))) % 1.22/1.46 (assume @p551 (forall @t287 (=> @t736 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t286)))) % 1.22/1.46 (assume @p552 (forall @t287 (=> @t736 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t288)))) % 1.22/1.46 (assume @p553 (forall @t117 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t116 @t115) @t741))) % 1.22/1.46 (assume @p554 (forall (@list @t186 @t187) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t748 @t186)))) % 1.22/1.46 (assume @p555 (forall (@list @t187 @t186) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t433 @t186)))) % 1.22/1.46 (assume @p556 (forall @t152 (=> @t746 @t389))) % 1.22/1.46 (assume @p557 (forall @t104 (=> (or @t648 @t183) @t185))) % 1.22/1.46 (assume @p558 (forall @t104 (=> @t185 (=> @t531 @t648)))) % 1.22/1.46 (assume @p559 (forall @t104 (=> @t648 @t185))) % 1.22/1.46 (assume @p560 (forall @t87 (= @t274 @t742))) % 1.22/1.46 (assume @p561 (forall @t87 (= @t741 (and @t274 @t749)))) % 1.22/1.46 (assume @p562 (forall @t529 (=> @t473 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t750) @t101) (tptp.c_Groups_Ominus__class_Ominus @t7 @t486 @t528))))) % 1.22/1.46 (assume @p563 (forall @t383 (=> @t382 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t106 @t106))))) % 1.22/1.46 (assume @p564 (forall @t221 (=> @t754 (= @t753 (or @t752 @t751))))) % 1.22/1.46 (assume @p565 (forall @t221 (=> @t754 (= @t755 (or @t751 @t415))))) % 1.22/1.46 (assume @p566 (forall @t227 (=> @t412 (or @t757 @t151 @t756)))) % 1.22/1.46 (assume @p567 (forall @t418 (=> @t754 (=> (not @t751) @t758)))) % 1.22/1.46 (assume @p568 (forall @t227 (=> @t412 @t761))) % 1.22/1.46 (assume @p569 (forall @t227 (=> @t422 (=> @t757 @t760)))) % 1.22/1.46 (assume @p570 (forall @t227 (=> @t382 (=> @t757 (not @t756))))) % 1.22/1.46 (assume @p571 (forall @t227 (=> @t422 (=> @t757 @t762)))) % 1.22/1.46 (assume @p572 (forall @t209 (=> @t382 (=> @t709 (not @t763))))) % 1.22/1.46 (assume @p573 (forall @t764 (=> @t422 (=> @t763 (not @t709))))) % 1.22/1.46 (assume @p574 (forall @t132 (=> @t420 (=> @t297 (=> @t766 @t765))))) % 1.22/1.46 (assume @p575 (forall @t132 (=> @t422 (=> @t297 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t30 @t43) @t767))))) % 1.22/1.46 (assume @p576 (forall @t132 (=> @t420 (=> @t709 (=> @t142 @t765))))) % 1.22/1.46 (assume @p577 (forall @t145 (=> @t422 (=> @t763 (=> @t142 @t767))))) % 1.22/1.46 (assume @p578 (forall @t252 (=> @t382 (=> @t757 @t769)))) % 1.22/1.46 (assume @p579 (forall @t426 (=> @t422 (=> @t756 @t771)))) % 1.22/1.46 (assume @p580 (forall @t227 (=> @t412 (=> @t759 (=> @t760 @t756))))) % 1.22/1.46 (assume @p581 (forall @t371 (=> @t492 (= @t716 (tptp.c_Orderings_Oord__class_Oless @t14 @t668 @t61))))) % 1.22/1.46 (assume @p582 (forall @t292 (=> @t684 (=> @t708 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t693 @t88))))) % 1.22/1.46 (assume @p583 (forall @t273 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t79 @t81)) @t741))) % 1.22/1.46 (assume @p584 (forall @t104 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t693 @t89))) % 1.22/1.46 (assume @p585 (forall @t209 (=> @t622 (= @t772 (tptp.c_Polynomial_Opoly__gcd @t7 @t43 @t12))))) % 1.22/1.46 (assume @p586 (forall @t145 (=> @t622 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t43 (tptp.c_Polynomial_Opoly__gcd @t7 @t12 @t30)) @t773)))) % 1.22/1.46 (assume @p587 (forall @t132 (=> @t622 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t772 @t30) @t773)))) % 1.22/1.46 (assume @p588 (forall @t147 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t101)))) % 1.22/1.46 (assume @p589 (forall @t87 (= @t749 (or @t741 @t740)))) % 1.22/1.46 (assume @p590 (forall @t152 (=> @t760 (=> (not @t746) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t107 @t106))))) % 1.22/1.46 (assume @p591 (forall @t292 (=> @t737 @t531))) % 1.22/1.46 (assume @p592 (forall (@list @t774 @t775) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t775 @t774) (not (= @t775 @t774))))) % 1.22/1.46 (assume @p593 (forall (@list @t101 @t110 @t187) (=> @t735 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t187 @t101) @t110)))) % 1.22/1.46 (assume @p594 (forall @t727 (=> @t648 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t88 @t280) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t729 @t728))))) % 1.22/1.46 (assume @p595 (forall @t249 (=> @t471 (=> @t776 (= @t77 @t248))))) % 1.22/1.46 (assume @p596 (forall @t249 (=> @t492 (=> @t776 (= @t716 (tptp.c_Orderings_Oord__class_Oless @t14 @t133 @t245)))))) % 1.22/1.46 (assume @p597 (forall (@list @t637 @t79 @t81) (=> (=> @t741 @t777) (=> (=> @t113 @t777) (=> (=> @t740 @t777) @t777))))) % 1.22/1.46 (assume @p598 (forall @t387 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t114 @t385) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t114 @t385) @t599)))) % 1.22/1.46 (assume @p599 (forall @t319 (=> @t473 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t176 @t181) (tptp.c_Polynomial_Omonom @t7 @t691 @t101))))) % 1.22/1.46 (assume @p600 (forall @t316 (=> @t473 (=> @t644 (=> @t779 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t778 @t101)))))) % 1.22/1.46 (assume @p601 (forall @t47 (=> @t468 (= (tptp.c_Polynomial_Osmult @t7 @t691 @t26) (tptp.c_Groups_Ominus__class_Ominus @t8 @t45 @t44))))) % 1.22/1.46 (assume @p602 (forall @t52 (=> @t473 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t28 @t50) (tptp.c_Polynomial_OpCons @t7 @t691 @t750))))) % 1.22/1.46 (assume @p603 (forall @t227 (=> @t536 @t761))) % 1.22/1.46 (assume @p604 (forall @t117 (=> @t726 (=> @t725 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t724 @t723) @t741))))) % 1.22/1.46 (assume @p605 (forall @t780 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t43) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t30 @t12) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t12 @t30) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t30)))))) % 1.22/1.46 (assume @p606 (forall @t562 (=> @t782 (=> @t781 (= @t105 @t559))))) % 1.22/1.46 (assume @p607 (forall @t189 (=> @t611 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t187 @t110) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t186 @t110))))) % 1.22/1.46 (assume @p608 (forall (@list @t235 @t158) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t158 @t235) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t158 @t235) (not (= @t158 @t235)))))) % 1.22/1.46 (assume @p609 (forall @t562 (or @t782 @t781))) % 1.22/1.46 (assume @p610 (forall (@list @t559) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t559 @t559))) % 1.22/1.46 (assume @p611 (forall @t446 (=> @t468 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t750) @t106) (tptp.c_Groups_Ominus__class_Ominus @t7 @t447 @t445))))) % 1.22/1.46 (assume @p612 (forall @t426 (=> @t422 (=> @t410 @t771)))) % 1.22/1.46 (assume @p613 (forall @t252 (=> @t382 (=> @t411 @t769)))) % 1.22/1.46 (assume @p614 (forall @t426 (=> @t422 (=> @t756 (=> @t425 @t770))))) % 1.22/1.46 (assume @p615 (forall @t252 (=> @t382 (=> @t757 (=> @t423 @t768))))) % 1.22/1.46 (assume @p616 (forall @t764 (=> @t422 (=> @t302 (=> @t783 @t763))))) % 1.22/1.46 (assume @p617 (forall @t209 (=> @t422 (=> @t253 (=> @t783 @t709))))) % 1.22/1.46 (assume @p618 (forall @t227 (=> @t422 (=> @t411 (or @t757 @t151))))) % 1.22/1.46 (assume @p619 (forall @t221 (=> @t754 (=> @t414 @t758)))) % 1.22/1.46 (assume @p620 (forall @t227 (=> @t382 (=> @t757 @t411)))) % 1.22/1.46 (assume @p621 (forall @t424 (=> @t412 (=> @t410 @t759)))) % 1.22/1.46 (assume @p622 (forall @t209 (=> @t422 (=> @t783 (=> @t302 @t763))))) % 1.22/1.46 (assume @p623 (forall @t209 (=> @t422 (=> @t783 (=> @t253 @t709))))) % 1.22/1.46 (assume @p624 (forall @t221 (=> @t754 (=> @t755 @t417)))) % 1.22/1.46 (assume @p625 (forall @t424 (=> @t412 (=> (not @t410) @t757)))) % 1.22/1.46 (assume @p626 (forall @t227 (=> @t412 (=> @t759 @t410)))) % 1.22/1.46 (assume @p627 (forall @t221 (=> @t416 (= @t414 (or @t752 @t415))))) % 1.22/1.46 (assume @p628 (forall @t221 (=> (tptp.class_Orderings_Opreorder @t14) (= @t752 (and @t414 (not @t413)))))) % 1.22/1.46 (assume @p629 (forall @t221 (=> @t416 (= @t752 (and @t414 @t753))))) % 1.22/1.46 (assume @p630 (forall @t227 (=> @t412 (or @t411 @t756)))) % 1.22/1.46 (assume @p631 (forall @t221 (=> @t754 (= (not @t414) @t751)))) % 1.22/1.46 (assume @p632 (forall @t221 (=> @t754 (= @t755 @t413)))) % 1.22/1.46 (assume @p633 (forall @t409 (=> @t408 (= (tptp.c_Orderings_Oord__class_Oless @t406 @t2 @t1) (and @t407 (not (tptp.c_Orderings_Oord__class_Oless__eq @t406 @t1 @t2))))))) % 1.22/1.46 (assume @p634 (forall @t431 (=> @t394 (= (tptp.hAPP @t646 @t428) (tptp.c_Groups_Ominus__class_Ominus @t7 @t430 @t429))))) % 1.22/1.46 (assume @p635 (forall @t404 (=> @t394 (= (tptp.hAPP (tptp.hAPP @t178 (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t402)) @t43) (tptp.c_Groups_Ominus__class_Ominus @t7 @t180 @t403))))) % 1.22/1.46 (assume @p636 (forall @t401 (=> @t394 (= (tptp.hAPP @t397 @t645) (tptp.c_Groups_Ominus__class_Ominus @t7 @t399 @t398))))) % 1.22/1.46 (assume @p637 (forall @t395 (=> @t394 (= (tptp.hAPP @t179 (tptp.c_Groups_Ominus__class_Ominus @t7 @t43 @t392)) (tptp.c_Groups_Ominus__class_Ominus @t7 @t180 @t393))))) % 1.22/1.46 (assume @p638 (forall @t249 (=> @t492 (=> @t776 (= @t262 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t133 @t245)))))) % 1.22/1.46 (assume @p639 (forall @t371 (=> @t480 (= @t784 @t77)))) % 1.22/1.46 (assume @p640 (forall @t371 (=> @t471 (= @t77 @t784)))) % 1.22/1.46 (assume @p641 (forall @t73 (=> @t485 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t12) @t54)))) % 1.22/1.46 (assume @p642 (forall @t73 (=> @t485 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t54) @t12)))) % 1.22/1.46 (assume @p643 (forall @t147 (=> @t684 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t78)) @t101)))) % 1.22/1.46 (assume @p644 (forall (@list @t186 @t101) (=> @t684 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t734) @t101)))) % 1.22/1.46 (assume @p645 (forall @t189 (=> @t698 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t599 @t110) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t664 @t186) (tptp.hAPP @t664 @t187)))))) % 1.22/1.46 (assume @p646 (forall @t71 (=> @t468 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t750) (tptp.c_Groups_Ominus__class_Ominus @t8 @t45 @t70))))) % 1.22/1.46 (assume @p647 (forall @t543 (=> @t521 (=> @t659 (=> @t786 (=> @t785 (tptp.c_Orderings_Oord__class_Oless @t7 @t541 @t539))))))) % 1.22/1.46 (assume @p648 (forall @t177 (=> @t521 (=> @t658 (=> @t684 (tptp.c_Orderings_Oord__class_Oless @t7 @t455 @t539)))))) % 1.22/1.46 (assume @p649 (forall @t147 (=> @t684 (= @t101 @t788)))) % 1.22/1.46 (assume @p650 (forall @t147 (=> @t684 (= @t788 @t101)))) % 1.22/1.46 (assume @p651 (forall @t67 (=> @t622 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t9 @t9) @t9)))) % 1.22/1.46 (assume @p652 (forall @t221 (=> @t625 (= (= @t790 @t16) (and (= @t120 @t16) @t789))))) % 1.22/1.46 (assume @p653 (forall @t87 (=> @t791 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t347 @t81) @t514)))) % 1.22/1.46 (assume @p654 (forall @t87 (=> @t791 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t339 @t81) @t81) @t514)))) % 1.22/1.46 (assume @p655 (forall @t799 (=> @t798 (= @t797 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t81 @t794))))) % 1.22/1.46 (assume @p656 (forall @t802 (=> @t801 (= @t797 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t800 @t79))))) % 1.22/1.46 (assume @p657 (forall @t804 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t803 @t591) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t482 @t186) @t185)))) % 1.22/1.46 (assume @p658 (forall (@list @t213 @t120 @t114 @t14) (=> @t625 (= (tptp.c_Rings_Odvd__class_Odvd @t15 @t114 @t790) (and (tptp.c_Rings_Odvd__class_Odvd @t15 @t114 @t120) (tptp.c_Rings_Odvd__class_Odvd @t15 @t114 @t213)))))) % 1.22/1.46 (assume @p659 (forall (@list @t107 @t106 @t110 @t7) (=> @t622 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t110 @t106) (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t110 @t107) (tptp.c_Rings_Odvd__class_Odvd @t8 @t110 @t639)))))) % 1.22/1.46 (assume @p660 (forall @t227 (=> @t622 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t805 @t107) @t639)))) % 1.22/1.46 (assume @p661 (forall @t227 (=> @t622 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t106 @t806) @t639)))) % 1.22/1.46 (assume @p662 (forall @t383 (=> @t622 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t106 @t466) @t466)))) % 1.22/1.46 (assume @p663 (forall @t427 (=> @t622 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t466 @t107) @t466)))) % 1.22/1.46 (assume @p664 (forall @t212 (=> @t521 (=> @t709 (=> @t306 (=> @t684 @t807)))))) % 1.22/1.46 (assume @p665 (forall @t808 (=> @t509 (=> @t684 (= (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP @t464 @t787)) @t106) @t465))))) % 1.22/1.46 (assume @p666 (forall @t371 (=> @t492 (= @t262 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t668 @t61))))) % 1.22/1.46 (assume @p667 (forall @t813 (=> @t497 (= @t812 (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t223 @t811) @t810))))) % 1.22/1.46 (assume @p668 (forall @t674 (=> @t815 (= @t814 (= @t669 @t245))))) % 1.22/1.46 (assume @p669 (forall @t674 (=> @t815 (= @t814 (= @t133 @t675))))) % 1.22/1.46 (assume @p670 (forall @t813 (=> @t394 (= @t812 (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t809 @t811) @t810) (tptp.hAPP @t179 @t811)))))) % 1.22/1.46 (assume @p671 (forall (@list @t660 @t816 @t245 @t14) (=> (and (tptp.class_Rings_Ocomm__ring @t14) @t638) (=> (tptp.c_Rings_Odvd__class_Odvd @t14 @t245 @t816) (forall (@list @t3 @t289) (= (tptp.c_Rings_Odvd__class_Odvd @t14 @t245 (tptp.c_Groups_Oplus__class_Oplus @t14 @t3 @t660)) (tptp.c_Rings_Odvd__class_Odvd @t14 @t245 (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.c_Groups_Ominus__class_Ominus @t14 @t3 (tptp.hAPP (tptp.hAPP @t216 @t289) @t816)) @t660)))))))) % 1.22/1.46 (assume @p672 (forall @t73 (=> @t485 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t54 @t12) @t472)))) % 1.22/1.46 (assume @p673 (forall @t209 (=> @t485 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t491) @t46)))) % 1.22/1.46 (assume @p674 (forall @t227 (=> @t462 (= @t645 (tptp.c_Groups_Oplus__class_Oplus @t7 @t106 @t596))))) % 1.22/1.46 (assume @p675 (forall @t209 (=> @t473 @t817))) % 1.22/1.46 (assume @p676 (forall @t209 (=> @t485 @t817))) % 1.22/1.46 (assume @p677 (forall @t73 (=> @t226 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t377 @t54))))) % 1.22/1.46 (assume @p678 (forall @t267 (=> @t220 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t247 @t244) @t821)))) % 1.22/1.46 (assume @p679 (forall @t265 (=> @t220 (= @t822 @t821)))) % 1.22/1.46 (assume @p680 (forall @t265 (=> @t220 (=> @t820 (= @t822 @t716))))) % 1.22/1.46 (assume @p681 (forall @t209 (=> @t825 (=> @t786 (=> @t824 @t823))))) % 1.22/1.46 (assume @p682 (forall @t209 (=> @t825 (=> @t786 (=> @t827 @t826))))) % 1.22/1.46 (assume @p683 (forall @t209 (=> @t825 (=> @t786 (=> @t827 (tptp.c_Orderings_Oord__class_Oless @t7 @t208 @t54)))))) % 1.22/1.46 (assume @p684 (forall @t209 (=> @t825 (=> @t823 @t828)))) % 1.22/1.46 (assume @p685 (forall @t764 (=> @t825 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t208) @t828)))) % 1.22/1.46 (assume @p686 (forall @t265 (=> @t220 (=> @t819 (= @t822 @t818))))) % 1.22/1.46 (assume @p687 (forall @t209 (=> @t825 (=> @t829 (=> @t824 @t826))))) % 1.22/1.46 (assume @p688 (forall @t209 (=> @t830 (=> @t829 (=> @t827 @t823))))) % 1.22/1.46 (assume @p689 (forall @t132 (=> @t825 (=> @t709 (=> @t832 @t831))))) % 1.22/1.46 (assume @p690 (forall @t132 (=> @t825 @t834))) % 1.22/1.46 (assume @p691 (forall @t132 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t7) @t834))) % 1.22/1.46 (assume @p692 (forall @t145 (=> @t830 (=> @t763 (=> @t835 @t831))))) % 1.22/1.46 (assume @p693 (forall @t145 (=> @t830 (=> @t763 (=> @t835 @t833))))) % 1.22/1.46 (assume @p694 (forall @t132 (=> @t521 (=> @t786 @t837)))) % 1.22/1.46 (assume @p695 (forall @t95 (=> @t94 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t61 @t93) @t838)))) % 1.22/1.46 (assume @p696 (forall @t95 (=> @t841 @t840))) % 1.22/1.46 (assume @p697 (forall @t95 (=> @t94 @t840))) % 1.22/1.46 (assume @p698 (forall @t209 (=> @t300 (=> @t786 @t843)))) % 1.22/1.46 (assume @p699 (forall @t209 (=> @t300 (=> @t829 @t845)))) % 1.22/1.46 (assume @p700 (forall @t141 (=> @t715 (=> @t709 (=> @t260 @t712))))) % 1.22/1.46 (assume @p701 (forall @t141 (=> @t715 (=> @t253 @t714)))) % 1.22/1.46 (assume @p702 (forall @t67 (=> @t521 (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t455)))) % 1.22/1.46 (assume @p703 (forall @t67 (=> @t521 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t455 @t54))))) % 1.22/1.46 (assume @p704 (forall @t95 (=> @t94 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t479 @t62) @t838)))) % 1.22/1.46 (assume @p705 (forall @t95 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t479 @t61) @t838)))) % 1.22/1.46 (assume @p706 (forall @t95 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t61 @t479) @t839)))) % 1.22/1.46 (assume @p707 (forall @t95 (=> @t841 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t62 @t479) @t839)))) % 1.22/1.46 (assume @p708 (forall (@list @t101 @t88 @t7) (=> @t521 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t455 @t88) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t455 @t101) (tptp.c_Orderings_Oord__class_Oless @t7 @t455 (tptp.hAPP @t846 @t101))))))) % 1.22/1.46 (assume @p709 (forall @t177 (=> @t521 (=> @t786 (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t539))))) % 1.22/1.46 (assume @p710 (forall (@list @t133 @t660 @t120 @t245 @t62) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t62 @t245) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t62 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t120 @t660)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t62 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t120 (tptp.hAPP (tptp.hAPP @t506 @t133) @t245)) @t660)))))) % 1.22/1.46 (assume @p711 (forall (@list @t81 @t79 @t114) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t114 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t79 @t666)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t114 @t79)))) % 1.22/1.46 (assume @p712 (forall @t73 (=> @t521 (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t522)))) % 1.22/1.46 (assume @p713 (forall @t744 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t81 @t78) @t84))) % 1.22/1.46 (assume @p714 (forall (@list @t79 @t81 @t62 @t14) (=> @t656 (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t483 @t62) (= (= (tptp.hAPP @t587 @t81) @t588) @t113))))) % 1.22/1.46 (assume @p715 (forall @t292 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t102) @t57))) % 1.22/1.46 (assume @p716 (forall @t87 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t81 @t79) @t57) @t274))) % 1.22/1.46 (assume @p717 (forall @t104 (=> @t185 @t717))) % 1.22/1.46 (assume @p718 (forall @t292 (=> @t184 (= @t718 (tptp.c_Nat_OSuc @t693))))) % 1.22/1.46 (assume @p719 (forall @t117 (= @t687 (or @t336 @t686)))) % 1.22/1.46 (assume @p720 (forall @t849 (=> @t848 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t186 @t847) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t282 @t187))))) % 1.22/1.46 (assume @p721 (forall (@list @t701 @t114 @t700) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t703 @t701) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t700 @t702)))) % 1.22/1.46 (assume @p722 (forall (@list @t88 @t101 @t110) (=> @t276 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t88 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t102 @t110))))) % 1.22/1.46 (assume @p723 (forall @t292 (=> @t184 @t705))) % 1.22/1.46 (assume @p724 (forall @t849 (=> @t848 (= @t851 @t850)))) % 1.22/1.46 (assume @p725 (forall (@list @t701 @t700 @t114) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t114 @t700) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t701 @t703) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t702 @t700))))) % 1.22/1.46 (assume @p726 (forall @t292 (=> @t184 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t693 @t101) @t88)))) % 1.22/1.46 (assume @p727 (forall @t704 (=> @t798 (= (= @t793 @t114) (= @t700 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t114 @t701)))))) % 1.22/1.46 (assume @p728 (forall @t849 (=> @t848 (= @t850 @t851)))) % 1.22/1.46 (assume @p729 (forall @t849 (=> @t848 (= @t853 @t852)))) % 1.22/1.46 (assume @p730 (forall @t849 (=> @t848 (= @t852 @t853)))) % 1.22/1.46 (assume @p731 (forall @t104 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t88 @t148) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t854 @t101)))) % 1.22/1.46 (assume @p732 (forall @t147 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t148 @t482) @t101))) % 1.22/1.46 (assume @p733 (forall @t316 (=> @t473 (=> @t315 (=> @t314 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t778 @t101)))))) % 1.22/1.46 (assume @p734 (forall @t87 (= @t743 (or @t82 (exists (@list @t855) (and (= @t81 (tptp.c_Nat_OSuc @t855)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t855 @t79))))))) % 1.22/1.46 (assume @p735 (forall @t268 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t79 @t78) @t83))) % 1.22/1.46 (assume @p736 (forall @t268 (= @t731 (exists (@list @t856) (= @t79 (tptp.c_Nat_OSuc @t856)))))) % 1.22/1.46 (assume @p737 (forall @t562 (= @t858 @t857))) % 1.22/1.46 (assume @p738 (forall @t562 (= @t857 @t858))) % 1.22/1.46 (assume @p739 (forall @t87 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t86) (or @t791 @t731)))) % 1.22/1.46 (assume @p740 (forall @t87 (= @t741 (exists @t291 (= @t79 (tptp.c_Nat_OSuc @t290)))))) % 1.22/1.46 (assume @p741 (forall @t859 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t88 @t186))))) % 1.22/1.46 (assume @p742 (forall @t859 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t186 @t88))))) % 1.22/1.46 (assume @p743 (forall @t104 (=> @t269 @t648))) % 1.22/1.46 (assume @p744 (forall @t87 (=> @t274 @t739))) % 1.22/1.46 (assume @p745 (forall @t104 (=> @t648 @t269))) % 1.22/1.46 (assume @p746 @t860) % 1.22/1.46 (assume @p747 (forall @t87 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t271 @t79) @t741))) % 1.22/1.46 (assume @p748 (forall @t87 (= @t743 @t274))) % 1.22/1.46 (assume @p749 (forall @t273 (= @t740 @t275))) % 1.22/1.46 (assume @p750 (forall @t117 (=> @t688 (= @t346 @t113)))) % 1.22/1.46 (assume @p751 (forall @t117 (=> @t688 (= @t861 @t741)))) % 1.22/1.46 (assume @p752 (forall @t189 (=> @t736 (=> @t690 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t365 @t364))))) % 1.22/1.46 (assume @p753 (forall @t189 (=> @t736 (=> @t690 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t363 @t361))))) % 1.22/1.46 (assume @p754 (forall @t119 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t342 @t340) @t862))) % 1.22/1.46 (assume @p755 (forall @t117 (= @t861 @t862))) % 1.22/1.46 (assume @p756 (forall @t87 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t347) (and @t791 @t731)))) % 1.22/1.46 (assume @p757 (forall @t117 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t351 @t350) @t741))) % 1.22/1.46 (assume @p758 (forall @t651 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t556 @t158) @t158) @t599) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t158 @t599)))) % 1.22/1.46 (assume @p759 (forall @t650 (= @t863 (or @t649 (= @t235 @t158))))) % 1.22/1.46 (assume @p760 (forall @t650 (= @t863 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t235 @t158)))) % 1.22/1.46 (assume @p761 (forall @t650 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t235 @t556) @t158) @t649))) % 1.22/1.46 (assume @p762 (forall @t557 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t105) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t599 @t600)))) % 1.22/1.46 (assume @p763 (forall (@list @t105 @t559) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t559 @t105) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t559 @t556) @t105)))) % 1.22/1.46 (assume @p764 (forall @t87 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t599 @t81) (= (= (tptp.hAPP (tptp.hAPP @t506 @t81) @t79) @t556) (and (= @t81 @t556) (= @t79 @t556)))))) % 1.22/1.46 (assume @p765 (forall @t72 (=> @t473 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t9 @t48) (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t48))))) % 1.22/1.46 (assume @p766 (forall @t804 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t186) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t803 @t591) @t648)))) % 1.22/1.46 (assume @p767 (forall @t866 (= @t865 (or @t864 @t83)))) % 1.22/1.46 (assume @p768 (forall @t316 (=> @t51 (=> @t644 (=> @t779 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t313 @t101)))))) % 1.22/1.46 (assume @p769 @t870) % 1.22/1.46 (assume @p770 (forall (@list @t26 @t48 @t7) (=> @t51 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t228 @t33) (= @t313 @t33))))) % 1.22/1.46 (assume @p771 (forall @t674 (=> @t673 (= @t871 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t669 @t245))))) % 1.22/1.46 (assume @p772 (forall @t674 (=> @t673 (= @t871 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t133 @t675))))) % 1.22/1.46 (assume @p773 (forall @t383 (=> @t548 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t224 @t455) (tptp.hAPP (tptp.hAPP @t178 (tptp.c_Groups_Oplus__class_Oplus @t7 @t106 @t455)) (tptp.c_Groups_Ominus__class_Ominus @t7 @t106 @t455)))))) % 1.22/1.46 (assume @p774 (forall @t265 (=> @t220 (=> @t820 (= @t872 @t262))))) % 1.22/1.46 (assume @p775 (forall @t265 (=> @t220 (=> @t819 (= @t872 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t76 @t62)))))) % 1.22/1.46 (assume @p776 (forall @t141 (=> @t825 (=> @t709 (=> @t713 (=> @t824 @t874)))))) % 1.22/1.46 (assume @p777 (forall @t141 (=> @t825 (=> @t709 (=> @t713 (=> @t306 @t874)))))) % 1.22/1.46 (assume @p778 (forall @t141 (=> @t825 (=> @t709 (=> @t260 (=> @t306 (=> @t832 @t873))))))) % 1.22/1.46 (assume @p779 (forall @t141 (=> @t825 (=> @t253 (=> @t713 (=> @t786 @t874)))))) % 1.22/1.46 (assume @p780 (forall @t259 (=> @t877 @t876))) % 1.22/1.46 (assume @p781 (forall @t259 (=> @t825 @t876))) % 1.22/1.46 (assume @p782 (forall @t257 (=> @t877 @t878))) % 1.22/1.46 (assume @p783 (forall @t257 (=> @t825 @t878))) % 1.22/1.46 (assume @p784 (forall @t259 (=> @t825 (=> @t334 @t879)))) % 1.22/1.46 (assume @p785 (forall @t257 (=> @t825 (=> @t332 @t879)))) % 1.22/1.46 (assume @p786 (forall @t209 (=> @t300 (=> @t786 (=> @t308 @t842))))) % 1.22/1.46 (assume @p787 (forall @t209 (=> @t300 (=> @t306 @t843)))) % 1.22/1.46 (assume @p788 (forall @t132 (=> @t300 (=> @t786 (=> @t305 @t836))))) % 1.22/1.46 (assume @p789 (forall @t132 (=> @t300 (=> @t306 @t837)))) % 1.22/1.46 (assume @p790 (forall @t209 (=> @t300 (=> @t829 (=> @t298 @t844))))) % 1.22/1.46 (assume @p791 (forall @t209 (=> @t300 (=> @t299 @t845)))) % 1.22/1.46 (assume @p792 (forall @t227 (=> @t226 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t225 @t54))))) % 1.22/1.46 (assume @p793 (forall @t221 (=> @t220 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t61 @t219) (or (not @t121) @t880))))) % 1.22/1.46 (assume @p794 (forall @t319 (=> @t521 (=> @t807 (=> @t308 @t709))))) % 1.22/1.46 (assume @p795 (forall @t67 (=> @t521 (tptp.c_Orderings_Oord__class_Oless @t7 @t54 @t524)))) % 1.22/1.46 (assume @p796 (forall @t177 (=> @t521 (=> @t658 (tptp.c_Orderings_Oord__class_Oless @t7 @t455 @t579))))) % 1.22/1.46 (assume @p797 (forall @t177 (=> @t521 (=> @t658 (tptp.c_Orderings_Oord__class_Oless @t7 @t539 @t579))))) % 1.22/1.46 (assume @p798 (forall @t177 (=> @t521 (=> @t658 (tptp.c_Orderings_Oord__class_Oless @t7 @t455 @t555))))) % 1.22/1.46 (assume @p799 (forall @t883 (=> @t848 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t88 @t882) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t277 @t881))))) % 1.22/1.46 (assume @p800 (forall @t883 (=> @t848 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t882 @t88) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t881 @t720))))) % 1.22/1.46 (assume @p801 (forall @t802 (=> @t801 (= @t884 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t800 @t79))))) % 1.22/1.46 (assume @p802 (forall (@list @t101 @t88 @t432 @t186 @t187) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t187 @t186) (= @t885 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t338 @t721) @t432) @t88) @t101))))) % 1.22/1.46 (assume @p803 (forall @t802 (=> @t801 (= @t886 (= @t800 @t79))))) % 1.22/1.46 (assume @p804 (forall @t799 (=> @t798 (= @t884 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t81 @t794))))) % 1.22/1.46 (assume @p805 (forall (@list @t101 @t88 @t432 @t187 @t186) (=> @t188 (= @t885 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t88 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t338 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t187 @t186)) @t432) @t101)))))) % 1.22/1.46 (assume @p806 (forall @t799 (=> @t798 (= @t886 (= @t81 @t794))))) % 1.22/1.46 (assume @p807 (forall @t292 (=> @t888 (=> @t887 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t78 @t367))))) % 1.22/1.46 (assume @p808 (forall @t292 (=> @t888 (=> @t887 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t405))))) % 1.22/1.46 (assume @p809 (forall @t292 (=> @t888 (=> @t887 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t101 @t367))))) % 1.22/1.46 (assume @p810 (forall @t117 (=> @t688 (= @t889 @t274)))) % 1.22/1.46 (assume @p811 (forall @t119 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t342 @t340) @t890))) % 1.22/1.46 (assume @p812 (forall @t117 (= @t889 @t890))) % 1.22/1.46 (assume @p813 (forall @t487 (=> @t39 (=> @t644 @t537)))) % 1.22/1.46 (assume @p814 (forall @t440 (=> @t11 (= (tptp.c_Polynomial_Odegree @t7 @t436) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t33 @t482))))) % 1.22/1.46 (assume @p815 (forall @t177 (=> @t521 (=> @t786 (=> @t785 (tptp.c_Orderings_Oord__class_Oless @t7 @t579 @t539)))))) % 1.22/1.46 (assume @p816 (forall @t177 (=> @t521 (=> @t786 (=> @t785 (tptp.c_Orderings_Oord__class_Oless @t7 @t555 @t455)))))) % 1.22/1.46 (assume @p817 (forall @t657 (=> @t656 (=> @t655 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t654 @t653) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t120 @t213)))))) % 1.22/1.46 (assume @p818 (forall @t584 (=> @t521 (=> @t658 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t583 @t539) @t185))))) % 1.22/1.46 (assume @p819 (forall @t319 (=> @t521 (=> (= @t539 @t577) (=> @t306 (=> @t308 (=> @t684 @t297))))))) % 1.22/1.46 (assume @p820 (forall @t104 (and (=> @t527 (= @t103 @t101)) (=> @t891 (= @t103 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t854 @t101))))))) % 1.22/1.46 (assume @p821 (forall @t104 (and (=> @t527 (= @t367 @t57)) (=> @t891 (= @t367 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t101 (tptp.hAPP (tptp.hAPP @t338 @t854) @t101))))))) % 1.22/1.46 (assume @p822 (forall @t808 (=> @t100 (=> (or @t684 (= @t106 @t455)) (tptp.c_Rings_Odvd__class_Odvd @t7 @t106 @t465))))) % 1.22/1.46 (assume @p823 (forall (@list @t26 @t88) (and (=> @t527 (= @t893 @t482)) (=> @t891 (= @t893 (tptp.hAPP @t511 (tptp.hAPP @t892 @t854))))))) % 1.22/1.46 (assume @p824 (forall @t896 (=> @t895 (=> @t894 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t294 @t12) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t556 @t48)))))) % 1.22/1.46 (assume @p825 (forall @t896 (=> @t895 (=> @t894 (=> @t897 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t48 @t556)))))) % 1.22/1.46 (assume @p826 (forall (@list @t88 @t101 @t7) (=> @t551 (and (=> @t146 (= @t899 @t455)) (=> @t476 (= @t899 (tptp.hAPP @t846 (tptp.hAPP @t898 @t787)))))))) % 1.22/1.46 (assume @p827 (forall @t906 (=> @t905 (=> @t903 (=> @t901 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t900)))))) % 1.22/1.46 (assume @p828 (forall @t907 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t106 @t106))) % 1.22/1.46 (assume @p829 (forall @t152 (=> @t910 (not (and @t909 (not @t908)))))) % 1.22/1.46 (assume @p830 (forall @t109 (=> @t910 @t914))) % 1.22/1.46 (assume @p831 (forall @t918 (=> @t917 (not (and @t916 (not @t915)))))) % 1.22/1.46 (assume @p832 (forall @t109 (=> @t910 (=> @t913 @t912)))) % 1.22/1.46 (assume @p833 (forall @t780 (=> @t917 (=> @t142 @t920)))) % 1.22/1.46 (assume @p834 (forall @t152 (=> @t910 @t762))) % 1.22/1.46 (assume @p835 (forall @t152 (=> @t910 @t760))) % 1.22/1.46 (assume @p836 (forall @t152 (=> @t910 @t908))) % 1.22/1.46 (assume @p837 (forall @t355 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t110 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t88 @t101)) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t110 @t101) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t110 @t88))))) % 1.22/1.46 (assume @p838 (forall @t109 (=> @t908 @t914))) % 1.22/1.46 (assume @p839 (forall @t780 (=> @t297 (=> (and @t921 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t30 @t43))) @t920)))) % 1.22/1.46 (assume @p840 (forall @t355 (=> @t692 (=> @t685 @t694)))) % 1.22/1.46 (assume @p841 (forall @t109 (=> @t908 (=> @t913 @t911)))) % 1.22/1.46 (assume @p842 (forall @t152 (=> @t908 (=> @t909 @t151)))) % 1.22/1.46 (assume @p843 (forall @t104 (=> @t689 (=> @t707 @t183)))) % 1.22/1.46 (assume @p844 (forall @t780 (=> @t915 (=> @t142 @t919)))) % 1.22/1.46 (assume @p845 (forall @t780 (=> @t297 (=> @t921 @t919)))) % 1.22/1.46 (assume @p846 (forall @t918 (=> @t915 (=> @t783 @t917)))) % 1.22/1.46 (assume @p847 (forall @t152 (=> @t908 (or @t910 @t151)))) % 1.22/1.46 (assume @p848 (forall (@list @t120 @t213) (=> @t923 (= @t922 @t415)))) % 1.22/1.46 (assume @p849 (forall @t152 (=> @t151 @t908))) % 1.22/1.46 (assume @p850 (forall @t918 (=> @t783 (=> @t915 @t917)))) % 1.22/1.46 (assume @p851 (forall @t925 (= @t924 (and @t922 @t753)))) % 1.22/1.46 (assume @p852 (forall @t925 (= @t922 (or @t924 @t415)))) % 1.22/1.46 (assume @p853 (forall @t925 (= @t415 (and @t922 @t923)))) % 1.22/1.46 (assume @p854 (forall @t152 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t106 @t107) @t151 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t107 @t106)))) % 1.22/1.46 (assume @p855 (forall @t189 (= @t722 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t186 @t110) @t187)))) % 1.22/1.46 (assume @p856 (forall (@list @t107 @t101 @t26 @t7) (=> @t509 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t26 @t101) (= (tptp.hAPP @t498 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t148 @t26)) (tptp.hAPP (tptp.hAPP @t178 (tptp.hAPP @t498 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t101 @t26))) @t107)))))) % 1.22/1.46 (assume @p857 (forall @t934 (=> @t933 (=> @t930 (=> @t929 (=> @t928 (=> @t901 (=> @t927 @t926)))))))) % 1.22/1.46 (assume @p858 (forall @t937 (=> @t936 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t294 @t599) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t43 @t294) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t43 @t902) @t935)))))) % 1.22/1.46 (assume @p859 (forall @t934 (=> @t933 (=> @t905 (=> @t903 (=> @t897 (=> @t901 (=> @t927 @t935)))))))) % 1.22/1.46 (assume @p860 (forall @t937 (=> @t936 (=> @t928 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t902 @t43) (=> @t929 @t926)))))) % 1.22/1.46 (assume @p861 (forall @t906 (=> @t930 (=> @t928 (=> @t901 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t900 @t599)))))) % 1.22/1.46 (assume @p862 (forall @t938 (=> @t586 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t503 @t62) @t79) (tptp.hAPP (tptp.hAPP @t503 @t76) @t79)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t62 @t76))))) % 1.22/1.46 (assume @p863 (forall @t939 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t503 @t12) @t101) (tptp.hAPP (tptp.hAPP @t503 @t43) @t101)) (=> @t476 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t12 @t43))))) % 1.22/1.46 (assume @p864 (forall @t907 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t106 @t57))) % 1.22/1.46 (assume @p865 (forall @t907 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t482 @t106))) % 1.22/1.46 (assume @p866 (forall @t292 (=> @t684 (=> @t689 @t708)))) % 1.22/1.46 (assume @p867 (forall @t938 (=> @t586 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t581 @t62) @t79) (tptp.hAPP (tptp.hAPP @t581 @t76) @t79)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t62 @t76))))) % 1.22/1.46 (assume @p868 (forall @t939 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t581 @t12) @t101) (tptp.hAPP (tptp.hAPP @t581 @t43) @t101)) (=> @t476 @t915)))) % 1.22/1.46 (assume @p869 (forall (@list @t101 @t106) (=> @t940 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 (tptp.hAPP @t504 @t101))))) % 1.22/1.46 (assume @p870 (forall @t866 (= @t865 (or @t83 @t864)))) % 1.22/1.46 (assume @p871 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t599)) % 1.22/1.46 (assume @p872 (forall @t907 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t106 @t545) (or (= @t106 @t57) (= @t106 @t78))))) % 1.22/1.46 (assume @p873 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t556)) % 1.22/1.46 (assume @p874 (forall @t152 (=> @t940 (=> @t941 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t106 @t107)))))) % 1.22/1.46 (assume @p875 (forall @t152 (=> @t940 (=> @t941 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 (tptp.hAPP (tptp.hAPP @t506 @t106) @t107)))))) % 1.22/1.46 (assume @p876 (forall (@list @t107 @t106 @t125 @t7) (=> @t622 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t125 @t106) (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t125 @t107) (=> (forall @t291 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t289 @t106) (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t289 @t107) (tptp.c_Rings_Odvd__class_Odvd @t8 @t289 @t125)))) (=> (and (=> @t642 (= @t942 @t54)) (=> @t643 (= @t942 @t455))) (= @t639 @t125)))))))) % 1.22/1.46 (assume @p877 (forall (@list @t943 @t74 @t213 @t120 @t14) (=> @t625 (= (tptp.c_Polynomial_Opdivmod__rel @t14 @t120 @t213 @t74 @t943) (and (= @t120 (tptp.c_Groups_Oplus__class_Oplus @t15 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes @t15) @t74) @t213) @t943)) (=> @t789 @t627) (=> (not @t789) (or @t944 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t14 @t943) (tptp.c_Polynomial_Odegree @t14 @t213))))))))) % 1.22/1.46 (assume @p878 (forall @t383 (=> @t622 (tptp.c_Polynomial_Opdivmod__rel @t7 @t106 @t9 @t9 @t106)))) % 1.22/1.46 (assume @p879 (forall @t427 (=> @t622 (tptp.c_Polynomial_Opdivmod__rel @t7 @t9 @t107 @t9 @t9)))) % 1.22/1.46 (assume @p880 (forall (@list @t943 @t74 @t120 @t14) (=> @t625 (= (tptp.c_Polynomial_Opdivmod__rel @t14 @t120 @t16 @t74 @t943) (and @t627 (= @t943 @t120)))))) % 1.22/1.46 (assume @p881 (forall (@list @t943 @t74 @t213 @t14) (=> @t625 (= (tptp.c_Polynomial_Opdivmod__rel @t14 @t16 @t213 @t74 @t943) (and @t627 @t944))))) % 1.22/1.46 (assume @p882 (forall (@list @t12 @t294 @t48 @t107 @t106 @t7) (=> @t622 (=> @t946 (tptp.c_Polynomial_Opdivmod__rel @t7 @t945 @t107 @t70 (tptp.c_Polynomial_Osmult @t7 @t12 @t294)))))) % 1.22/1.46 (assume @p883 (forall @t954 (=> @t622 (=> @t953 (=> @t951 @t949))))) % 1.22/1.46 (assume @p884 (forall @t954 (=> @t622 (=> @t953 (=> @t951 @t955))))) % 1.22/1.46 (assume @p885 (forall @t954 (=> @t622 (=> @t953 (=> @t951 (and @t949 @t955)))))) % 1.22/1.46 (assume @p886 (forall (@list @t902 @t900 @t105 @t294 @t48 @t107 @t106 @t7) (=> @t622 (=> @t946 (=> (tptp.c_Polynomial_Opdivmod__rel @t7 @t48 @t105 @t900 @t902) (tptp.c_Polynomial_Opdivmod__rel @t7 @t106 (tptp.hAPP @t956 @t105) @t900 (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t956 @t902) @t294))))))) % 1.22/1.46 (assume @p887 (forall (@list @t12 @t43 @t294 @t48 @t107 @t106 @t7) (=> @t622 (=> @t946 (=> @t961 (=> (= @t43 (tptp.c_Rings_Oinverse__class_Odivide @t7 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t957) @t959) @t960)) (tptp.c_Polynomial_Opdivmod__rel @t7 @t958 @t107 @t50 (tptp.c_Groups_Ominus__class_Ominus @t8 @t957 (tptp.c_Polynomial_Osmult @t7 @t43 @t107))))))))) % 1.22/1.46 (assume @p888 (forall @t965 (and @t964 (=> (not @t963) (= @t962 @t599))))) % 1.22/1.46 (assume @p889 (forall @t227 (=> @t967 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t490 @t107) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t966))))) % 1.22/1.46 (assume @p890 (forall @t209 (=> @t970 (= @t969 (tptp.c_Rings_Oinverse__class_Odivide @t7 @t472 @t43))))) % 1.22/1.46 (assume @p891 (forall @t427 (=> @t967 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t54 @t107) @t54)))) % 1.22/1.46 (assume @p892 (forall @t73 (=> @t971 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t12 @t54) @t54)))) % 1.22/1.46 (assume @p893 (forall @t73 (=> @t970 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t54 @t12) @t54)))) % 1.22/1.46 (assume @p894 (forall @t132 (=> @t970 (= (tptp.hAPP @t179 @t972) (tptp.c_Rings_Oinverse__class_Odivide @t7 @t180 @t30))))) % 1.22/1.46 (assume @p895 (forall @t73 (=> @t970 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t12 @t455) @t12)))) % 1.22/1.46 (assume @p896 (forall @t431 (=> @t967 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t400 @t428) (tptp.c_Groups_Oplus__class_Oplus @t7 @t974 @t973))))) % 1.22/1.46 (assume @p897 (forall @t132 (=> @t970 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t46 @t30) (tptp.c_Groups_Oplus__class_Oplus @t7 @t975 @t972))))) % 1.22/1.46 (assume @p898 (forall @t212 (=> @t977 @t976))) % 1.22/1.46 (assume @p899 (forall @t177 (=> @t977 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t455 @t539) (tptp.hAPP (tptp.hAPP @t463 (tptp.c_Rings_Oinverse__class_Odivide @t7 @t455 @t12)) @t101))))) % 1.22/1.46 (assume @p900 (forall (@list @t101 @t12 @t43 @t7) (=> @t622 (=> @t374 @t976)))) % 1.22/1.46 (assume @p901 (forall @t764 (=> @t970 (=> @t374 @t978)))) % 1.22/1.46 (assume @p902 (forall @t764 (=> @t970 (=> @t374 @t979)))) % 1.22/1.46 (assume @p903 (forall @t98 (=> @t981 (=> (not @t369) (= (= @t980 @t483) @t77))))) % 1.22/1.46 (assume @p904 (forall @t73 (=> @t970 @t983))) % 1.22/1.46 (assume @p905 (forall @t73 (=> @t971 (and (=> @t55 (= @t982 @t54)) @t983)))) % 1.22/1.46 (assume @p906 (forall @t265 (=> @t981 (=> @t987 (= @t986 @t984))))) % 1.22/1.46 (assume @p907 (forall @t990 (=> @t981 (=> @t987 (= @t989 @t988))))) % 1.22/1.46 (assume @p908 (forall @t304 (=> @t970 (=> @t991 (=> (= @t43 @t241) (= @t972 @t12)))))) % 1.22/1.46 (assume @p909 (forall @t257 (=> @t970 (=> @t991 (=> (= @t241 @t43) (= @t12 @t972)))))) % 1.22/1.46 (assume @p910 (forall @t132 (=> @t970 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t691 @t30) (tptp.c_Groups_Ominus__class_Ominus @t7 @t975 @t972))))) % 1.22/1.46 (assume @p911 (forall @t431 (=> @t967 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t645 @t428) (tptp.c_Groups_Ominus__class_Ominus @t7 @t974 @t973))))) % 1.22/1.46 (assume @p912 (forall (@list @t88 @t101 @t12 @t7) (=> @t622 (=> @t56 (=> @t184 (= (tptp.hAPP @t538 @t693) (tptp.c_Rings_Oinverse__class_Odivide @t7 @t583 @t539))))))) % 1.22/1.46 (assume @p913 (forall @t152 (=> @t940 (=> @t941 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t962))))) % 1.22/1.46 (assume @p914 (forall @t965 @t964)) % 1.22/1.46 (assume @p915 (forall @t132 (=> @t995 (=> @t253 (=> @t333 @t994))))) % 1.22/1.46 (assume @p916 (forall @t145 (=> @t996 (=> @t302 (=> @t303 @t994))))) % 1.22/1.46 (assume @p917 (forall (@list @t559 @t105 @t107 @t106 @t7) (=> @t977 (= (tptp.hAPP (tptp.hAPP @t178 @t966) (tptp.c_Rings_Oinverse__class_Odivide @t7 @t105 @t559)) (tptp.c_Rings_Oinverse__class_Odivide @t7 @t250 (tptp.hAPP @t222 @t559)))))) % 1.22/1.46 (assume @p918 (forall @t209 (=> @t977 @t978))) % 1.22/1.46 (assume @p919 (forall @t209 (=> @t977 @t979))) % 1.22/1.46 (assume @p920 (forall @t132 (=> @t995 (=> @t253 (=> @t333 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t972 @t975)))))) % 1.22/1.46 (assume @p921 (forall @t132 (=> @t995 (=> @t253 (=> @t303 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t975 @t972)))))) % 1.22/1.46 (assume @p922 (forall @t371 (=> @t997 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t980 @t61) @t381)))) % 1.22/1.46 (assume @p923 (forall @t371 (=> @t997 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t61 @t980) @t380)))) % 1.22/1.46 (assume @p924 (forall @t371 (=> @t997 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t61 @t980) (or (and @t838 @t999) (and @t839 @t998)))))) % 1.22/1.46 (assume @p925 (forall @t371 (=> @t997 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t980 @t61) (or (and @t838 @t998) (and @t839 @t999)))))) % 1.22/1.46 (assume @p926 (forall @t227 (=> @t996 (=> @t1002 (=> @t1001 @t1000))))) % 1.22/1.46 (assume @p927 (forall @t227 (=> @t996 (=> @t1002 (=> @t1004 @t1003))))) % 1.22/1.46 (assume @p928 (forall @t227 (=> @t996 (=> @t1005 (=> @t1001 @t1003))))) % 1.22/1.46 (assume @p929 (forall @t227 (=> @t996 (=> @t1005 (=> @t1004 @t1000))))) % 1.22/1.46 (assume @p930 (forall @t132 (=> @t996 (=> @t709 (=> @t832 @t1006))))) % 1.22/1.46 (assume @p931 (forall @t145 (=> @t996 (=> @t763 (=> @t835 @t1006))))) % 1.22/1.46 (assume @p932 (forall (@list @t235 @t120 @t158 @t213 @t14) (=> @t625 (=> @t880 (=> (not (= @t158 @t61)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t120 @t213) (tptp.c_Rings_Oinverse__class_Odivide @t14 @t235 @t158)) (= @t237 @t238))))))) % 1.22/1.46 (assume @p933 (forall @t257 (=> @t977 (=> @t991 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t331 @t330) @t968))))) % 1.22/1.46 (assume @p934 (forall @t257 (=> @t977 (=> @t991 (= (tptp.c_Rings_Oinverse__class_Odivide @t7 @t241 @t205) @t968))))) % 1.22/1.46 (assume @p935 (forall @t1009 (=> @t1008 (= @t989 (and (=> @t987 @t988) @t1007))))) % 1.22/1.46 (assume @p936 (forall @t138 (=> @t1008 (= @t986 (and (=> @t987 @t984) @t1007))))) % 1.22/1.46 (assume @p937 (forall @t227 (=> @t996 (=> @t1011 (=> @t1004 @t1010))))) % 1.22/1.46 (assume @p938 (forall @t227 (=> @t996 (=> @t1011 (=> @t1001 @t1012))))) % 1.22/1.46 (assume @p939 (forall @t1017 (=> @t996 (=> @t535 (=> @t411 (=> @t1016 (=> @t1015 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t1014 @t1013)))))))) % 1.22/1.46 (assume @p940 (forall @t1017 (=> @t996 (=> @t535 (=> @t757 (=> @t1016 (=> @t1015 @t1018))))))) % 1.22/1.46 (assume @p941 (forall @t1017 (=> @t996 (=> @t1002 (=> @t411 (=> @t1016 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t559 @t105) @t1018))))))) % 1.22/1.46 (assume @p942 (forall @t227 (=> @t996 (=> @t535 (=> @t1004 @t1012))))) % 1.22/1.46 (assume @p943 (forall @t227 (=> @t996 (=> @t535 (=> @t1001 @t1010))))) % 1.22/1.46 (assume @p944 (forall @t138 (=> @t997 (= @t1023 (and (=> @t820 @t1022) (=> @t1021 (and (=> @t819 @t1020) (=> @t1019 @t839)))))))) % 1.22/1.46 (assume @p945 (forall @t1009 (=> @t997 (= @t1024 (and (=> @t820 @t1020) (=> @t1021 (and (=> @t819 @t1022) (=> @t1019 @t838)))))))) % 1.22/1.46 (assume @p946 (forall @t265 (=> @t1025 (=> @t820 (= @t1023 @t1022))))) % 1.22/1.46 (assume @p947 (forall @t990 (=> @t1025 (=> @t820 (= @t1024 @t1020))))) % 1.22/1.46 (assume @p948 (forall @t426 (=> @t996 (=> @t1001 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t106 @t1027) (tptp.c_Orderings_Oord__class_Oless @t7 @t966 @t105)))))) % 1.22/1.46 (assume @p949 (forall @t1028 (=> @t996 (=> @t1001 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t1027 @t106) (tptp.c_Orderings_Oord__class_Oless @t7 @t105 @t966)))))) % 1.22/1.46 (assume @p950 (forall @t265 (=> @t1025 (=> @t819 (= @t1023 @t1020))))) % 1.22/1.46 (assume @p951 (forall @t990 (=> @t1025 (=> @t819 (= @t1024 @t1022))))) % 1.22/1.46 (assume @p952 (forall @t145 (=> @t996 (=> @t763 (=> @t832 @t1029))))) % 1.22/1.46 (assume @p953 (forall @t132 (=> @t996 (=> @t709 (=> @t835 @t1029))))) % 1.22/1.46 (assume @p954 (forall @t1035 (=> @t622 (=> @t1034 (=> @t1033 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t966 @t1032) (tptp.c_Rings_Oinverse__class_Odivide @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t250 @t1031) @t1030))))))) % 1.22/1.46 (assume @p955 (forall @t1037 (=> @t622 (=> @t1033 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t1014 @t107) (tptp.c_Rings_Oinverse__class_Odivide @t7 @t1036 @t105)))))) % 1.22/1.46 (assume @p956 (forall @t426 (=> @t977 (=> @t1034 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t966 @t105) @t1038))))) % 1.22/1.46 (assume @p957 (forall @t1037 (=> @t622 (=> @t1033 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t106 @t1040) (tptp.c_Rings_Oinverse__class_Odivide @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t1039 @t107) @t105)))))) % 1.22/1.46 (assume @p958 (forall @t1028 (=> @t977 (=> @t1034 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t105 @t966) @t1038))))) % 1.22/1.46 (assume @p959 (forall @t1037 (=> @t622 (=> @t1033 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t106 @t1040) (tptp.c_Rings_Oinverse__class_Odivide @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t1039 @t107) @t105)))))) % 1.22/1.46 (assume @p960 (forall @t1037 (=> @t622 (=> @t1033 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t1014 @t107) (tptp.c_Rings_Oinverse__class_Odivide @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t106 @t1027) @t105)))))) % 1.22/1.46 (assume @p961 (forall @t1035 (=> @t622 (=> @t1034 (=> @t1033 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t966 @t1032) (tptp.c_Rings_Oinverse__class_Odivide @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t250 @t1031) @t1030))))))) % 1.22/1.46 (assume @p962 (forall @t209 (=> @t996 (=> @t709 (tptp.c_Orderings_Oord__class_Oless @t7 @t1041 @t43))))) % 1.22/1.46 (assume @p963 (forall @t209 (=> @t996 (=> @t709 (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t1041))))) % 1.22/1.46 (assume @p964 (forall @t138 (=> @t997 (= @t1044 (and (=> @t820 @t1043) (=> @t1021 (and (=> @t819 @t1042) (=> @t1019 @t309)))))))) % 1.22/1.46 (assume @p965 (forall @t1009 (=> @t997 (= @t1045 (and (=> @t820 @t1042) (=> @t1021 (and (=> @t819 @t1043) (=> @t1019 @t310)))))))) % 1.22/1.46 (assume @p966 (forall @t265 (=> @t1025 (=> @t820 (= @t1044 @t1043))))) % 1.22/1.46 (assume @p967 (forall @t990 (=> @t1025 (=> @t820 (= @t1045 @t1042))))) % 1.22/1.46 (assume @p968 (forall @t426 (=> @t996 (=> @t1001 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t106 @t1027) (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t966 @t105)))))) % 1.22/1.46 (assume @p969 (forall @t1028 (=> @t996 (=> @t1001 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t1027 @t106) (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t105 @t966)))))) % 1.22/1.46 (assume @p970 (forall @t265 (=> @t1025 (=> @t819 (= @t1044 @t1042))))) % 1.22/1.46 (assume @p971 (forall @t990 (=> @t1025 (=> @t819 (= @t1045 @t1043))))) % 1.22/1.46 (assume @p972 (forall (@list @t10 @t125 @t30 @t43 @t12 @t7) (=> (tptp.class_RealVector_Oreal__field @t7) (= (tptp.c_Rings_Oinverse__class_Odivide @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t180 (tptp.hAPP @t329 @t125)) @t10) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t179 (tptp.c_Rings_Oinverse__class_Odivide @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t43 @t125) @t10)) (tptp.hAPP (tptp.hAPP @t178 (tptp.c_Rings_Oinverse__class_Odivide @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t30) @t10)) @t125)))))) % 1.22/1.46 (assume @p973 (forall (@list @t106 @t12 @t107 @t7) (=> @t622 (=> @t961 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t958 @t107) (tptp.c_Groups_Ominus__class_Ominus @t8 @t1047 (tptp.c_Polynomial_Osmult @t7 (tptp.c_Rings_Oinverse__class_Odivide @t7 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t1047) @t959) @t960) @t107))))))) % 1.22/1.46 (assume @p974 (forall (@list @t294 @t48 @t107 @t106 @t7) (=> @t622 (=> @t946 (= @t1046 @t294))))) % 1.22/1.46 (assume @p975 (forall @t227 (=> @t622 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t805 @t107) (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t1046))))) % 1.22/1.46 (assume @p976 (forall @t227 (=> @t622 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t106 @t806) @t1046)))) % 1.22/1.46 (assume @p977 (forall @t1048 (=> @t622 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t945 @t107) (tptp.c_Polynomial_Osmult @t7 @t12 @t1046))))) % 1.22/1.46 (assume @p978 (forall @t424 (=> @t622 (=> @t961 (= @t639 (tptp.c_Polynomial_Opoly__gcd @t7 @t107 @t1046)))))) % 1.22/1.46 (assume @p979 (forall @t227 (=> @t622 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 @t106) @t959) (= @t1046 @t106))))) % 1.22/1.46 (assume @p980 (forall @t1048 (=> @t622 (=> @t56 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t106 (tptp.c_Polynomial_Osmult @t7 @t12 @t107)) @t1046))))) % 1.22/1.46 (assume @p981 (forall @t209 (=> (tptp.class_Divides_Osemiring__div @t7) (= (tptp.c_Divides_Odiv__class_Omod @t7 @t46 @t43) (tptp.c_Divides_Odiv__class_Omod @t7 @t12 @t43))))) % 1.22/1.46 (assume @p982 (forall @t1051 (=> @t1050 (tptp.class_Groups_Oab__semigroup__mult @t1049)))) % 1.22/1.46 (assume @p983 (forall @t1051 (=> @t1050 (tptp.class_Groups_Oab__semigroup__add @t1049)))) % 1.22/1.46 (assume @p984 @t1053) % 1.22/1.46 (assume @p985 (forall @t1051 (=> @t1050 (tptp.class_Rings_Ocomm__semiring @t1049)))) % 1.22/1.46 (assume @p986 (forall @t1051 (=> @t1050 (tptp.class_Groups_Omonoid__add @t1049)))) % 1.22/1.46 (assume @p987 (forall @t1051 (=> @t1050 (tptp.class_Rings_Osemiring__0 @t1049)))) % 1.22/1.46 (assume @p988 (forall @t1051 (=> @t1050 (tptp.class_Rings_Omult__zero @t1049)))) % 1.22/1.46 (assume @p989 (forall @t1051 (=> @t1050 (tptp.class_Rings_Osemiring @t1049)))) % 1.22/1.46 (assume @p990 @t1055) % 1.22/1.46 (assume @p991 (forall @t1059 (=> @t1058 (tptp.class_Groups_Ocancel__comm__monoid__add @t1057)))) % 1.22/1.46 (assume @p992 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.22/1.46 (assume @p993 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p994 (forall @t1062 (=> (tptp.class_Lattices_Oboolean__algebra @t1056) (tptp.class_Lattices_Oboolean__algebra @t1061)))) % 1.22/1.46 (assume @p995 (forall @t1062 (=> (tptp.class_Orderings_Opreorder @t1056) (tptp.class_Orderings_Opreorder @t1061)))) % 1.22/1.46 (assume @p996 (forall @t1062 (=> (tptp.class_Orderings_Oorder @t1056) (tptp.class_Orderings_Oorder @t1061)))) % 1.22/1.46 (assume @p997 (forall @t1062 (=> (tptp.class_Orderings_Oord @t1056) (tptp.class_Orderings_Oord @t1061)))) % 1.22/1.46 (assume @p998 (forall @t1062 (=> (tptp.class_Groups_Ouminus @t1056) (tptp.class_Groups_Ouminus @t1061)))) % 1.22/1.46 (assume @p999 (forall @t1062 (=> (tptp.class_Groups_Ominus @t1056) (tptp.class_Groups_Ominus @t1061)))) % 1.22/1.46 (assume @p1000 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1001 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1002 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1003 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1004 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1005 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1006 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1007 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1008 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1009 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1010 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1011 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1012 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1013 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1014 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1015 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1016 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1017 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1018 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1019 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1020 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1021 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1022 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1023 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1024 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1025 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1026 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1027 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1028 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1029 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1030 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1031 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1032 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1033 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1034 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1035 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1036 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1037 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1038 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1039 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1040 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1041 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1042 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1043 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1044 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1045 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1046 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.22/1.46 (assume @p1047 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.22/1.47 (assume @p1048 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.22/1.47 (assume @p1049 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.22/1.47 (assume @p1050 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.22/1.47 (assume @p1051 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.22/1.47 (assume @p1052 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.22/1.47 (assume @p1053 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.22/1.47 (assume @p1054 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.22/1.47 (assume @p1055 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.22/1.47 (assume @p1056 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.22/1.47 (assume @p1057 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1058 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1059 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1060 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1061 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1062 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1063 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1064 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1065 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1066 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1067 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1068 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1069 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1070 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1071 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1072 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1073 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1074 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1075 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1076 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1077 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1078 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1079 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1080 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1081 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1082 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1083 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1084 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1085 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1086 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1087 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1088 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1089 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1090 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1091 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1092 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1093 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1094 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.22/1.47 (assume @p1095 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.22/1.47 (assume @p1096 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.22/1.47 (assume @p1097 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.22/1.47 (assume @p1098 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.22/1.47 (assume @p1099 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.22/1.47 (assume @p1100 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.22/1.47 (assume @p1101 (forall @t1059 (=> @t1063 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1057)))) % 1.22/1.47 (assume @p1102 (forall @t1059 (=> @t1064 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1057)))) % 1.22/1.47 (assume @p1103 (forall @t1059 (=> @t1064 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1057)))) % 1.22/1.47 (assume @p1104 (forall @t1059 (=> @t1064 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1057)))) % 1.22/1.47 (assume @p1105 (forall @t1059 (=> @t1064 (tptp.class_Rings_Olinordered__semiring__1__strict @t1057)))) % 1.22/1.47 (assume @p1106 (forall @t1059 (=> @t1064 (tptp.class_Rings_Olinordered__semiring__strict @t1057)))) % 1.22/1.47 (assume @p1107 (forall @t1059 (=> @t1064 (tptp.class_Groups_Oordered__ab__semigroup__add @t1057)))) % 1.22/1.47 (assume @p1108 (forall @t1059 (=> @t1064 (tptp.class_Groups_Oordered__comm__monoid__add @t1057)))) % 1.22/1.47 (assume @p1109 (forall @t1059 (=> @t1064 (tptp.class_Groups_Olinordered__ab__group__add @t1057)))) % 1.22/1.47 (assume @p1110 (forall @t1059 (=> @t1058 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1057)))) % 1.22/1.47 (assume @p1111 (forall @t1059 (=> @t1063 (tptp.class_Rings_Oring__1__no__zero__divisors @t1057)))) % 1.22/1.47 (assume @p1112 (forall @t1059 (=> @t1064 (tptp.class_Rings_Oordered__cancel__semiring @t1057)))) % 1.22/1.47 (assume @p1113 (forall @t1059 (=> @t1064 (tptp.class_Rings_Olinordered__ring__strict @t1057)))) % 1.22/1.47 (assume @p1114 (forall @t1059 (=> @t1063 (tptp.class_Rings_Oring__no__zero__divisors @t1057)))) % 1.22/1.47 (assume @p1115 (forall @t1059 (=> @t1064 (tptp.class_Rings_Oordered__comm__semiring @t1057)))) % 1.22/1.47 (assume @p1116 (forall @t1059 (=> @t1064 (tptp.class_Rings_Olinordered__semiring__1 @t1057)))) % 1.22/1.47 (assume @p1117 (forall @t1059 (=> @t1064 (tptp.class_Groups_Oordered__ab__group__add @t1057)))) % 1.22/1.47 (assume @p1118 (forall @t1059 (=> @t1058 (tptp.class_Groups_Ocancel__semigroup__add @t1057)))) % 1.22/1.47 (assume @p1119 (forall @t1059 (=> @t1064 (tptp.class_Rings_Olinordered__semiring @t1057)))) % 1.22/1.47 (assume @p1120 (forall @t1059 (=> @t1064 (tptp.class_Rings_Olinordered__semidom @t1057)))) % 1.22/1.47 (assume @p1121 (forall @t1059 (=> @t1065 (tptp.class_Groups_Oab__semigroup__mult @t1057)))) % 1.22/1.47 (assume @p1122 (forall @t1059 (=> @t1066 (tptp.class_Groups_Ocomm__monoid__mult @t1057)))) % 1.22/1.47 (assume @p1123 (forall @t1059 (=> @t1067 (tptp.class_Groups_Oab__semigroup__add @t1057)))) % 1.22/1.47 (assume @p1124 (forall @t1059 (=> @t1064 (tptp.class_Rings_Oordered__semiring @t1057)))) % 1.22/1.47 (assume @p1125 (forall @t1059 (=> @t1063 (tptp.class_Rings_Ono__zero__divisors @t1057)))) % 1.22/1.47 (assume @p1126 (forall @t1059 (=> @t1067 (tptp.class_Groups_Ocomm__monoid__add @t1057)))) % 1.22/1.47 (assume @p1127 (forall @t1059 (=> @t1064 (tptp.class_Rings_Olinordered__ring @t1057)))) % 1.22/1.47 (assume @p1128 (forall @t1059 (=> @t1064 (tptp.class_Rings_Olinordered__idom @t1057)))) % 1.22/1.47 (assume @p1129 (forall @t1059 (=> @t1066 (tptp.class_Rings_Ocomm__semiring__1 @t1057)))) % 1.22/1.47 (assume @p1130 (forall @t1059 (=> @t1065 (tptp.class_Rings_Ocomm__semiring__0 @t1057)))) % 1.22/1.47 (assume @p1131 (forall @t1059 (=> (tptp.class_Fields_Ofield @t1056) (tptp.class_Divides_Osemiring__div @t1057)))) % 1.22/1.47 (assume @p1132 (forall @t1059 (=> @t1065 (tptp.class_Rings_Ocomm__semiring @t1057)))) % 1.22/1.47 (assume @p1133 (forall @t1059 (=> @t1068 (tptp.class_Groups_Oab__group__add @t1057)))) % 1.22/1.47 (assume @p1134 (forall @t1059 (=> @t1066 (tptp.class_Rings_Ozero__neq__one @t1057)))) % 1.22/1.47 (assume @p1135 (forall @t1059 (=> @t1064 (tptp.class_Rings_Oordered__ring @t1057)))) % 1.22/1.47 (assume @p1136 (forall @t1059 (=> @t1064 (tptp.class_Orderings_Opreorder @t1057)))) % 1.22/1.47 (assume @p1137 (forall @t1059 (=> @t1064 (tptp.class_Orderings_Olinorder @t1057)))) % 1.22/1.47 (assume @p1138 (forall @t1059 (=> @t1066 (tptp.class_Groups_Omonoid__mult @t1057)))) % 1.22/1.47 (assume @p1139 (forall @t1059 (=> @t1069 (tptp.class_Rings_Ocomm__ring__1 @t1057)))) % 1.22/1.47 (assume @p1140 (forall @t1059 (=> @t1067 (tptp.class_Groups_Omonoid__add @t1057)))) % 1.22/1.47 (assume @p1141 (forall @t1059 (=> @t1065 (tptp.class_Rings_Osemiring__0 @t1057)))) % 1.22/1.47 (assume @p1142 (forall @t1059 (=> @t1068 (tptp.class_Groups_Ogroup__add @t1057)))) % 1.22/1.47 (assume @p1143 (forall @t1059 (=> @t1065 (tptp.class_Rings_Omult__zero @t1057)))) % 1.22/1.47 (assume @p1144 (forall @t1059 (=> @t1070 (tptp.class_Rings_Ocomm__ring @t1057)))) % 1.22/1.47 (assume @p1145 (forall @t1059 (=> @t1064 (tptp.class_Orderings_Oorder @t1057)))) % 1.22/1.47 (assume @p1146 (forall @t1059 (=> @t1064 (tptp.class_Int_Oring__char__0 @t1057)))) % 1.22/1.47 (assume @p1147 (forall @t1059 (=> @t1065 (tptp.class_Rings_Osemiring @t1057)))) % 1.22/1.47 (assume @p1148 (forall @t1059 (=> @t1064 (tptp.class_Orderings_Oord @t1057)))) % 1.22/1.47 (assume @p1149 (forall @t1059 (=> @t1068 (tptp.class_Groups_Ouminus @t1057)))) % 1.22/1.47 (assume @p1150 (forall @t1059 (=> @t1069 (tptp.class_Rings_Oring__1 @t1057)))) % 1.22/1.47 (assume @p1151 (forall @t1059 (=> @t1068 (tptp.class_Groups_Ominus @t1057)))) % 1.22/1.47 (assume @p1152 (forall @t1059 (=> @t1066 (tptp.class_Power_Opower @t1057)))) % 1.22/1.47 (assume @p1153 (forall @t1059 (=> (tptp.class_Groups_Ozero @t1056) (tptp.class_Groups_Ozero @t1057)))) % 1.22/1.47 (assume @p1154 (forall @t1059 (=> @t1070 (tptp.class_Rings_Oring @t1057)))) % 1.22/1.47 (assume @p1155 (forall @t1059 (=> @t1063 (tptp.class_Rings_Oidom @t1057)))) % 1.22/1.47 (assume @p1156 (forall @t1059 (=> @t1066 (tptp.class_Groups_Oone @t1057)))) % 1.22/1.47 (assume @p1157 (forall @t1059 (=> @t1066 (tptp.class_Rings_Odvd @t1057)))) % 1.22/1.47 (assume @p1158 (forall @t925 (or (not @t1071) @t415))) % 1.22/1.47 (assume @p1159 (forall @t925 (or @t753 @t1071))) % 1.22/1.47 (assume @p1160 (not (tptp.hBOOL tptp.c_fFalse))) % 1.22/1.47 (assume @p1161 (tptp.hBOOL tptp.c_fTrue)) % 1.22/1.47 (assume @p1162 (= @t1074 @t1072)) % 1.22/1.47 (assume @p1163 (not @t1077)) % 1.22/1.47 (assume @p1164 (not (= @t1080 (tptp.c_Nat_OSuc @t1072)))) % 1.22/1.47 (assume @p1165 @t1081) % 1.22/1.47 (assume @p1166 true) % 1.22/1.47 (step @p1167 :rule aci_norm :args ((= (or @t1083 (or @t1082 @t36)) @t1084))) % 1.22/1.47 (step @p1168 :rule refl :args (@t36)) % 1.22/1.47 (step @p1169 :rule bool-double-not-elim :args (@t1082)) % 1.22/1.47 (step @p1170 :rule nary_cong :premises (@p1169 @p1168) :args ((or (not @t1085) @t36))) % 1.22/1.47 (step @p1171 :rule bool-impl-elim :args (@t1085 @t36)) % 1.22/1.47 (step @p1172 :rule trans :premises (@p1171 @p1170)) % 1.22/1.47 (step @p1173 :rule refl :args (@t1083)) % 1.22/1.47 (step @p1174 :rule nary_cong :premises (@p1173 @p1172) :args ((or @t1083 @t1086))) % 1.22/1.47 (step @p1175 :rule trans :premises (@p1174 @p1167)) % 1.22/1.47 (step @p1176 :rule bool-impl-elim :args (@t39 @t1086)) % 1.22/1.47 (step @p1177 :rule trans :premises (@p1176 @p1175)) % 1.22/1.47 (step @p1178 :rule cong :premises (@p1177) :args ((forall @t41 (=> @t39 @t1086)))) % 1.22/1.47 (step @p1179 :rule refl :args (@t36)) % 1.22/1.47 (step @p1180 :rule eq-symm :args (@t26 @t9)) % 1.22/1.47 (step @p1181 :rule cong :premises (@p1180) :args (@t37)) % 1.22/1.47 (step @p1182 :rule cong :premises (@p1181 @p1179) :args (@t38)) % 1.22/1.47 (step @p1183 :rule refl :args (@t39)) % 1.22/1.47 (step @p1184 :rule cong :premises (@p1183 @p1182) :args (@t40)) % 1.22/1.47 (step @p1185 :rule cong :premises (@p1184) :args (@t42)) % 1.22/1.47 (step @p1186 :rule trans :premises (@p1185 @p1178)) % 1.22/1.47 (step @p1187 :rule eq_resolve :premises (@p7 @p1186)) % 1.22/1.47 (step @p1188 :rule refl :args (@t1089)) % 1.22/1.47 (step @p1189 :rule eq-symm :args (@t1076 @t1073)) % 1.22/1.47 (step @p1190 :rule refl :args (@t1091)) % 1.22/1.47 (step @p1191 :rule nary_cong :premises (@p1190 @p1189 @p1188) :args (@t1093)) % 1.22/1.47 (step @p1192 :rule refl :args (@t1094)) % 1.22/1.47 (step @p1193 :rule cong :premises (@p1192 @p1191) :args ((=> @t1094 @t1093))) % 1.22/1.47 (assume-push @p1324 @t1094) % 1.22/1.47 (step @p1195 :rule instantiate :premises (@p1187) :args ((@list tptp.v_a @t1073 tptp.t_a))) % 1.22/1.47 (step-pop @p1325 :rule scope :premises (@p1195)) % 1.22/1.47 (step @p1196 :rule process_scope :premises (@p1325) :args (@t1093)) % 1.22/1.47 (step @p1198 :rule eq_resolve :premises (@p1196 @p1193)) % 1.22/1.47 (step @p1199 :rule implies_elim :premises (@p1198)) % 1.22/1.47 (step @p1200 :rule chain_m_resolution :premises (@p1199 @p1187) :args (@t1096 @t1097 (@list @t1094))) % 1.22/1.47 (step @p1201 :rule bool-impl-elim :args (@t1050 @t1054)) % 1.22/1.47 (step @p1202 :rule cong :premises (@p1201) :args (@t1055)) % 1.22/1.47 (step @p1203 :rule eq_resolve :premises (@p990 @p1202)) % 1.22/1.47 (step @p1204 :rule instantiate :premises (@p1203) :args (@t1098)) % 1.22/1.47 (step @p1205 :rule cnf_or_pos :args (@t1100)) % 1.22/1.47 (step @p1206 :rule reordering :premises (@p1205) :args ((or @t1099 @t1090 (not @t1100)))) % 1.22/1.47 (step @p1207 :rule chain_m_resolution :premises (@p1206 @p1165 @p1204) :args (@t1090 @t1101 (@list @t1081 @t1100))) % 1.22/1.47 (step @p1208 :rule bool-impl-elim :args (@t22 @t1103)) % 1.22/1.47 (step @p1209 :rule cong :premises (@p1208) :args ((forall @t24 (=> @t22 @t1103)))) % 1.22/1.47 (step @p1210 :rule eq-symm :args (@t1102 @t18)) % 1.22/1.47 (step @p1211 :rule refl :args (@t18)) % 1.22/1.47 (step @p1212 :rule eq-symm :args (@t20 @t16)) % 1.22/1.47 (step @p1213 :rule cong :premises (@p1212 @p1211) :args (@t21)) % 1.22/1.47 (step @p1214 :rule trans :premises (@p1213 @p1210)) % 1.22/1.47 (step @p1215 :rule refl :args (@t22)) % 1.22/1.47 (step @p1216 :rule cong :premises (@p1215 @p1214) :args (@t23)) % 1.22/1.47 (step @p1217 :rule cong :premises (@p1216) :args (@t25)) % 1.22/1.47 (step @p1218 :rule trans :premises (@p1217 @p1209)) % 1.22/1.47 (step @p1219 :rule eq_resolve :premises (@p4 @p1218)) % 1.22/1.47 (step @p1220 :rule refl :args (@t1077)) % 1.22/1.47 (step @p1221 :rule cong :premises (@p1220 @p1189) :args (@t1104)) % 1.22/1.47 (step @p1222 :rule refl :args (@t1099)) % 1.22/1.47 (step @p1223 :rule nary_cong :premises (@p1222 @p1221) :args (@t1105)) % 1.22/1.47 (step @p1224 :rule refl :args (@t1106)) % 1.22/1.47 (step @p1225 :rule cong :premises (@p1224 @p1223) :args ((=> @t1106 @t1105))) % 1.22/1.47 (assume-push @p1326 @t1106) % 1.22/1.47 (step @p1227 :rule instantiate :premises (@p1219) :args ((@list tptp.v_h tptp.v_p tptp.t_a))) % 1.22/1.47 (step-pop @p1327 :rule scope :premises (@p1227)) % 1.22/1.47 (step @p1228 :rule process_scope :premises (@p1327) :args (@t1105)) % 1.22/1.47 (step @p1230 :rule eq_resolve :premises (@p1228 @p1225)) % 1.22/1.47 (step @p1231 :rule implies_elim :premises (@p1230)) % 1.22/1.47 (step @p1232 :rule chain_m_resolution :premises (@p1231 @p1219) :args (@t1108 @t1097 (@list @t1106))) % 1.22/1.47 (step @p1233 :rule cnf_or_pos :args (@t1108)) % 1.22/1.47 (step @p1234 :rule reordering :premises (@p1233) :args ((or @t1099 @t1107 (not @t1108)))) % 1.22/1.47 (step @p1235 :rule chain_m_resolution :premises (@p1234 @p1165 @p1232) :args (@t1107 @t1101 (@list @t1081 @t1108))) % 1.22/1.47 (step @p1236 :rule cnf_equiv_pos2 :args (@t1107)) % 1.22/1.47 (step @p1237 :rule reordering :premises (@p1236) :args ((or @t1077 @t1109 (not @t1107)))) % 1.22/1.47 (step @p1238 :rule chain_m_resolution :premises (@p1237 @p1163 @p1235) :args (@t1109 (@list true false) (@list @t1077 @t1107))) % 1.22/1.47 (step @p1239 :rule cnf_or_pos :args (@t1096)) % 1.22/1.47 (step @p1240 :rule reordering :premises (@p1239) :args ((or @t1095 @t1091 @t1089 (not @t1096)))) % 1.22/1.47 (step @p1241 :rule chain_m_resolution :premises (@p1240 @p1238 @p1207 @p1200) :args (@t1089 (@list true false false) (@list @t1095 @t1090 @t1096))) % 1.22/1.47 (step @p1242 :rule aci_norm :args ((= (or @t1112 (or @t1111 @t1110)) @t1113))) % 1.22/1.47 (step @p1243 :rule bool-impl-elim :args (@t867 @t1110)) % 1.22/1.47 (step @p1244 :rule refl :args (@t1112)) % 1.22/1.47 (step @p1245 :rule nary_cong :premises (@p1244 @p1243) :args ((or @t1112 @t1114))) % 1.22/1.47 (step @p1246 :rule trans :premises (@p1245 @p1242)) % 1.22/1.47 (step @p1247 :rule bool-impl-elim :args (@t51 @t1114)) % 1.22/1.47 (step @p1248 :rule trans :premises (@p1247 @p1246)) % 1.22/1.47 (step @p1249 :rule cong :premises (@p1248) :args ((forall @t231 (=> @t51 @t1114)))) % 1.22/1.47 (step @p1250 :rule eq-symm :args (@t313 @t228)) % 1.22/1.47 (step @p1251 :rule refl :args (@t867)) % 1.22/1.47 (step @p1252 :rule cong :premises (@p1251 @p1250) :args (@t868)) % 1.22/1.47 (step @p1253 :rule refl :args (@t51)) % 1.22/1.47 (step @p1254 :rule cong :premises (@p1253 @p1252) :args (@t869)) % 1.22/1.47 (step @p1255 :rule cong :premises (@p1254) :args (@t870)) % 1.22/1.47 (step @p1256 :rule trans :premises (@p1255 @p1249)) % 1.22/1.47 (step @p1257 :rule eq_resolve :premises (@p769 @p1256)) % 1.22/1.47 (step @p1258 :rule eq-symm :args (@t1088 @t1080)) % 1.22/1.47 (step @p1259 :rule refl :args (@t1117)) % 1.22/1.47 (step @p1260 :rule refl :args (@t1119)) % 1.22/1.47 (step @p1261 :rule nary_cong :premises (@p1260 @p1259 @p1258) :args (@t1120)) % 1.22/1.47 (step @p1262 :rule refl :args (@t1121)) % 1.22/1.47 (step @p1263 :rule cong :premises (@p1262 @p1261) :args ((=> @t1121 @t1120))) % 1.22/1.47 (assume-push @p1328 @t1121) % 1.22/1.47 (step @p1265 :rule instantiate :premises (@p1257) :args ((@list @t1078 @t1079 tptp.t_a))) % 1.22/1.47 (step-pop @p1329 :rule scope :premises (@p1265)) % 1.22/1.47 (step @p1266 :rule process_scope :premises (@p1329) :args (@t1120)) % 1.22/1.47 (step @p1268 :rule eq_resolve :premises (@p1266 @p1263)) % 1.22/1.47 (step @p1269 :rule implies_elim :premises (@p1268)) % 1.22/1.47 (step @p1270 :rule chain_m_resolution :premises (@p1269 @p1257) :args (@t1123 @t1097 (@list @t1121))) % 1.22/1.47 (step @p1271 :rule false_intro :premises (@p1164)) % 1.22/1.47 (step @p1272 :rule cong :premises (@p1162) :args (@t1087)) % 1.22/1.47 (step @p1273 :rule trans :premises (@p1241 @p1272)) % 1.22/1.47 (step @p1274 :rule refl :args (@t1080)) % 1.22/1.47 (step @p1275 :rule cong :premises (@p1274 @p1273) :args (@t1122)) % 1.22/1.47 (step @p1276 :rule trans :premises (@p1275 @p1271)) % 1.22/1.47 (step @p1277 :rule false_elim :premises (@p1276)) % 1.22/1.47 (step @p1278 :rule bool-impl-elim :args (@t1050 @t1052)) % 1.22/1.47 (step @p1279 :rule cong :premises (@p1278) :args (@t1053)) % 1.22/1.47 (step @p1280 :rule eq_resolve :premises (@p984 @p1279)) % 1.22/1.47 (step @p1281 :rule instantiate :premises (@p1280) :args (@t1098)) % 1.22/1.47 (step @p1282 :rule cnf_or_pos :args (@t1124)) % 1.22/1.47 (step @p1283 :rule reordering :premises (@p1282) :args ((or @t1099 @t1118 (not @t1124)))) % 1.22/1.47 (step @p1284 :rule chain_m_resolution :premises (@p1283 @p1165 @p1281) :args (@t1118 @t1101 (@list @t1081 @t1124))) % 1.22/1.47 (step @p1285 :rule cnf_or_pos :args (@t1123)) % 1.22/1.47 (step @p1286 :rule reordering :premises (@p1285) :args ((or @t1119 @t1117 @t1122 (not @t1123)))) % 1.22/1.47 (step @p1287 :rule chain_m_resolution :premises (@p1286 @p1284 @p1277 @p1270) :args (@t1117 @t1125 (@list @t1118 @t1122 @t1123))) % 1.22/1.47 (step @p1288 :rule bool-impl-elim :args (@t185 @t733)) % 1.22/1.47 (step @p1289 :rule cong :premises (@p1288) :args (@t860)) % 1.22/1.47 (step @p1290 :rule eq_resolve :premises (@p746 @p1289)) % 1.22/1.47 (step @p1291 :rule instantiate :premises (@p1290) :args ((@list @t1074 @t1115))) % 1.22/1.47 (step @p1292 :rule bool-impl-elim :args (@t11 @t311)) % 1.22/1.47 (step @p1293 :rule cong :premises (@p1292) :args (@t312)) % 1.22/1.47 (step @p1294 :rule eq_resolve :premises (@p154 @p1293)) % 1.22/1.47 (step @p1295 :rule instantiate :premises (@p1294) :args ((@list @t1073 tptp.v_h tptp.t_a))) % 1.22/1.47 (step @p1296 :rule cnf_or_pos :args (@t1127)) % 1.22/1.47 (step @p1297 :rule reordering :premises (@p1296) :args ((or @t1099 @t1126 (not @t1127)))) % 1.22/1.47 (step @p1298 :rule chain_m_resolution :premises (@p1297 @p1165 @p1295) :args (@t1126 @t1101 (@list @t1081 @t1127))) % 1.22/1.47 (step @p1299 :rule cnf_or_pos :args (@t1130)) % 1.22/1.47 (step @p1300 :rule reordering :premises (@p1299) :args ((or @t1129 @t1128 (not @t1130)))) % 1.22/1.47 (step @p1301 :rule chain_m_resolution :premises (@p1300 @p1298 @p1291) :args (@t1128 @t1101 (@list @t1126 @t1130))) % 1.22/1.47 (step @p1302 :rule refl :args (@t1131)) % 1.22/1.47 (step @p1303 :rule bool-double-not-elim :args (@t1116)) % 1.22/1.47 (step @p1304 :rule refl :args (@t1132)) % 1.22/1.47 (step @p1305 :rule nary_cong :premises (@p1304 @p1303 @p1302) :args ((or @t1132 (not @t1117) @t1131))) % 1.22/1.47 (assume-push @p1330 @t1089) % 1.22/1.47 (assume-push @p1331 @t1117) % 1.22/1.47 (step @p1308 :rule false_intro :premises (@p1287)) % 1.22/1.47 (step @p1309 :rule symm :premises (@p1241)) % 1.22/1.47 (step @p1310 :rule refl :args (@t1115)) % 1.22/1.47 (step @p1311 :rule refl :args (tptp.tc_Nat_Onat)) % 1.22/1.47 (step @p1312 :rule cong :premises (@p1311 @p1310 @p1309) :args (@t1128)) % 1.22/1.47 (step @p1313 :rule trans :premises (@p1312 @p1308)) % 1.22/1.47 (step @p1314 :rule false_elim :premises (@p1313)) % 1.22/1.47 (step-pop @p1332 :rule scope :premises (@p1314)) % 1.22/1.47 (step-pop @p1333 :rule scope :premises (@p1332)) % 1.22/1.47 (step @p1315 :rule process_scope :premises (@p1333) :args (@t1131)) % 1.22/1.47 (step @p1318 :rule implies_elim :premises (@p1315)) % 1.22/1.47 (step @p1319 :rule cnf_and_neg :args (@t1133)) % 1.22/1.47 (step @p1320 :rule resolution :premises (@p1319 @p1318) :args (true @t1133)) % 1.22/1.47 (step @p1321 :rule eq_resolve :premises (@p1320 @p1305)) % 1.22/1.47 (step @p1322 :rule reordering :premises (@p1321) :args ((or @t1116 @t1132 @t1131))) % 1.22/1.47 (step @p1323 false :rule chain_m_resolution :premises (@p1322 @p1301 @p1287 @p1241) :args (false @t1125 (@list @t1128 @t1116 @t1089))) % 1.22/1.47 ) % 1.22/1.47 % SZS output end Proof % 1.22/1.47 % cvc5 exiting %------------------------------------------------------------------------------