%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW245+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 : n015.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 09:04:35 AM UTC 2026 % Result : Theorem 1.00s 1.25s % Output : Proof 1.00s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.13 % Problem : SWW245+1 : TPTP v9.2.1. Released v5.2.0. % 0.11/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.36 % Computer : n015.cluster.edu % 0.17/0.36 % Model : x86_64 x86_64 % 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.36 % Memory : 8042.1875MB % 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.36 % CPULimit : 300 % 0.17/0.36 % WCLimit : 300 % 0.17/0.36 % DateTime : Tue Jun 2 21:42:19 EDT 2026 % 0.17/0.36 % CPUTime : % 0.45/0.81 %----Proving TF0_NAR, FOF, or CNF % 1.00/1.25 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.00/1.25 % SZS status Theorem % 1.00/1.25 % SZS output start Proof % 1.00/1.25 ( % 1.00/1.25 (declare-sort $$unsorted 0) % 1.00/1.25 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_fFalse $$unsorted) % 1.00/1.25 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_fTrue $$unsorted) % 1.00/1.25 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.00/1.25 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.v_c____ $$unsorted) % 1.00/1.25 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.t_a $$unsorted) % 1.00/1.25 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.v_cs____ $$unsorted) % 1.00/1.25 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.v_p $$unsorted) % 1.00/1.25 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Polynomial_OAbs__poly (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.00/1.25 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.00/1.25 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.00/1.25 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.00/1.25 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.00/1.25 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.00/1.25 (define @t3 () (@var "B_x" $$unsorted)) % 1.00/1.25 (define @t4 () (@list @t3)) % 1.00/1.25 (define @t5 () (tptp.c_Groups_Ozero__class_Ozero tptp.t_a)) % 1.00/1.25 (define @t6 () (@var "B_z" $$unsorted)) % 1.00/1.25 (define @t7 () (tptp.c_Polynomial_OpCons tptp.t_a tptp.v_c____ tptp.v_cs____)) % 1.00/1.25 (define @t8 () (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.t_a @t7) @t6)) % 1.00/1.25 (define @t9 () (not (= @t6 @t5))) % 1.00/1.25 (define @t10 () (@list @t6)) % 1.00/1.25 (define @t11 () (tptp.class_Rings_Oidom tptp.t_a)) % 1.00/1.25 (define @t12 () (@var "B_q" $$unsorted)) % 1.00/1.25 (define @t13 () (@var "B_a" $$unsorted)) % 1.00/1.25 (define @t14 () (@var "B_k" $$unsorted)) % 1.00/1.25 (define @t15 () (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.t_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.t_a) @t6) @t14))) % 1.00/1.25 (define @t16 () (tptp.hAPP @t15 (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.t_a (tptp.c_Polynomial_OpCons tptp.t_a @t13 @t12)) @t6))) % 1.00/1.25 (define @t17 () (forall @t10 (= @t8 @t16))) % 1.00/1.25 (define @t18 () (tptp.c_Nat_OSuc (tptp.c_Polynomial_Odegree tptp.t_a @t7))) % 1.00/1.25 (define @t19 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.00/1.25 (define @t20 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.t_a))) % 1.00/1.25 (define @t21 () (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_If tptp.tc_Nat_Onat (tptp.c_fequal @t12 @t20) @t19 (tptp.c_Nat_OSuc (tptp.c_Polynomial_Odegree tptp.t_a @t12))) @t14))) % 1.00/1.25 (define @t22 () (= @t21 @t18)) % 1.00/1.25 (define @t23 () (= @t7 @t20)) % 1.00/1.25 (define @t24 () (not @t23)) % 1.00/1.25 (define @t25 () (=> @t24 @t22)) % 1.00/1.25 (define @t26 () (= @t21 @t19)) % 1.00/1.25 (define @t27 () (=> @t23 @t26)) % 1.00/1.25 (define @t28 () (and @t27 @t25 @t17)) % 1.00/1.25 (define @t29 () (@list @t12)) % 1.00/1.25 (define @t30 () (exists @t29 @t28)) % 1.00/1.25 (define @t31 () (not (= @t13 @t5))) % 1.00/1.25 (define @t32 () (and @t31 @t30)) % 1.00/1.25 (define @t33 () (@list @t14 @t13)) % 1.00/1.25 (define @t34 () (exists @t33 @t32)) % 1.00/1.25 (define @t35 () (= tptp.v_c____ @t5)) % 1.00/1.25 (define @t36 () (not @t35)) % 1.00/1.25 (define @t37 () (=> @t36 @t34)) % 1.00/1.25 (define @t38 () (=> @t11 @t37)) % 1.00/1.25 (define @t39 () (=> @t35 @t34)) % 1.00/1.25 (define @t40 () (=> @t11 @t39)) % 1.00/1.25 (define @t41 () (@var "V_p" $$unsorted)) % 1.00/1.25 (define @t42 () (@var "T_a" $$unsorted)) % 1.00/1.25 (define @t43 () (tptp.c_Polynomial_Odegree @t42 @t41)) % 1.00/1.25 (define @t44 () (tptp.c_Nat_OSuc @t43)) % 1.00/1.25 (define @t45 () (@var "V_a" $$unsorted)) % 1.00/1.25 (define @t46 () (tptp.c_Polynomial_OpCons @t42 @t45 @t41)) % 1.00/1.25 (define @t47 () (tptp.c_Polynomial_Odegree @t42 @t46)) % 1.00/1.25 (define @t48 () (tptp.tc_Polynomial_Opoly @t42)) % 1.00/1.25 (define @t49 () (tptp.c_Groups_Ozero__class_Ozero @t48)) % 1.00/1.25 (define @t50 () (= @t41 @t49)) % 1.00/1.25 (define @t51 () (not @t50)) % 1.00/1.25 (define @t52 () (=> @t51 (= @t47 @t44))) % 1.00/1.25 (define @t53 () (tptp.class_Groups_Ozero @t42)) % 1.00/1.25 (define @t54 () (@list @t45 @t41 @t42)) % 1.00/1.25 (define @t55 () (tptp.c_Polynomial_OpCons @t42 @t45 @t49)) % 1.00/1.25 (define @t56 () (@list @t45 @t42)) % 1.00/1.25 (define @t57 () (@var "V_x" $$unsorted)) % 1.00/1.25 (define @t58 () (tptp.c_Polynomial_Opoly @t42 @t41)) % 1.00/1.25 (define @t59 () (tptp.hAPP @t58 @t57)) % 1.00/1.25 (define @t60 () (tptp.c_Groups_Otimes__class_Otimes @t42)) % 1.00/1.25 (define @t61 () (tptp.hAPP @t60 @t57)) % 1.00/1.25 (define @t62 () (tptp.class_Rings_Ocomm__semiring__0 @t42)) % 1.00/1.25 (define @t63 () (@list @t57 @t41 @t45 @t42)) % 1.00/1.25 (define @t64 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t42 @t41)) % 1.00/1.25 (define @t65 () (@list @t41 @t42)) % 1.00/1.25 (define @t66 () (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.t_a tptp.v_cs____) @t6)) % 1.00/1.25 (define @t67 () (= tptp.v_cs____ @t20)) % 1.00/1.25 (define @t68 () (tptp.c_Groups_Ozero__class_Ozero @t42)) % 1.00/1.25 (define @t69 () (@list @t57 @t42)) % 1.00/1.25 (define @t70 () (@list @t42)) % 1.00/1.25 (define @t71 () (@var "T_b" $$unsorted)) % 1.00/1.25 (define @t72 () (tptp.tc_Polynomial_Opoly @t71)) % 1.00/1.25 (define @t73 () (tptp.c_Groups_Ozero__class_Ozero @t72)) % 1.00/1.25 (define @t74 () (@var "V_pa_2" $$unsorted)) % 1.00/1.25 (define @t75 () (= @t74 @t73)) % 1.00/1.25 (define @t76 () (tptp.c_Groups_Ozero__class_Ozero @t71)) % 1.00/1.25 (define @t77 () (@var "V_a_2" $$unsorted)) % 1.00/1.25 (define @t78 () (= @t77 @t76)) % 1.00/1.25 (define @t79 () (tptp.c_Polynomial_OpCons @t71 @t77 @t74)) % 1.00/1.25 (define @t80 () (tptp.class_Groups_Ozero @t71)) % 1.00/1.25 (define @t81 () (@list @t74 @t77 @t71)) % 1.00/1.25 (define @t82 () (tptp.class_Groups_Ocomm__monoid__add @t42)) % 1.00/1.25 (define @t83 () (@var "V_q" $$unsorted)) % 1.00/1.25 (define @t84 () (@list @t83 @t42)) % 1.00/1.25 (define @t85 () (tptp.c_Groups_Otimes__class_Otimes @t48)) % 1.00/1.25 (define @t86 () (tptp.hAPP @t85 @t41)) % 1.00/1.25 (define @t87 () (tptp.c_Polynomial_Odegree @t42 @t83)) % 1.00/1.25 (define @t88 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t87)) % 1.00/1.25 (define @t89 () (tptp.hAPP @t86 @t83)) % 1.00/1.25 (define @t90 () (tptp.class_Rings_Oidom @t42)) % 1.00/1.25 (define @t91 () (@list @t83 @t41 @t42)) % 1.00/1.25 (define @t92 () (@var "V_q_2" $$unsorted)) % 1.00/1.25 (define @t93 () (= @t74 @t92)) % 1.00/1.25 (define @t94 () (@var "V_b_2" $$unsorted)) % 1.00/1.25 (define @t95 () (= @t77 @t94)) % 1.00/1.25 (define @t96 () (tptp.c_Polynomial_Opoly @t71 @t74)) % 1.00/1.25 (define @t97 () (tptp.class_Rings_Oidom @t71)) % 1.00/1.25 (define @t98 () (and (tptp.class_Int_Oring__char__0 @t71) @t97)) % 1.00/1.25 (define @t99 () (@list @t92 @t74 @t71)) % 1.00/1.25 (define @t100 () (@list @t74 @t71)) % 1.00/1.25 (define @t101 () (tptp.c_Groups_Oplus__class_Oplus @t48 @t41 @t83)) % 1.00/1.25 (define @t102 () (@var "V_b" $$unsorted)) % 1.00/1.25 (define @t103 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t102)) % 1.00/1.25 (define @t104 () (tptp.c_Polynomial_OpCons @t42 @t102 @t83)) % 1.00/1.25 (define @t105 () (@list @t83 @t102 @t41 @t45 @t42)) % 1.00/1.25 (define @t106 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 @t83) @t57)) % 1.00/1.25 (define @t107 () (@list @t57 @t83 @t41 @t42)) % 1.00/1.25 (define @t108 () (@var "V_n" $$unsorted)) % 1.00/1.25 (define @t109 () (tptp.c_Power_Opower__class_Opower @t42)) % 1.00/1.25 (define @t110 () (tptp.c_Power_Opower__class_Opower @t48)) % 1.00/1.25 (define @t111 () (tptp.class_Rings_Ocomm__semiring__1 @t42)) % 1.00/1.25 (define @t112 () (tptp.c_Nat_OSuc @t19)) % 1.00/1.25 (define @t113 () (@var "V_n_2" $$unsorted)) % 1.00/1.25 (define @t114 () (= @t113 @t112)) % 1.00/1.25 (define @t115 () (@var "V_m_2" $$unsorted)) % 1.00/1.25 (define @t116 () (= @t115 @t19)) % 1.00/1.25 (define @t117 () (= @t113 @t19)) % 1.00/1.25 (define @t118 () (= @t115 @t112)) % 1.00/1.25 (define @t119 () (or (and @t118 @t117) (and @t116 @t114))) % 1.00/1.25 (define @t120 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t115 @t113)) % 1.00/1.25 (define @t121 () (@list @t113 @t115)) % 1.00/1.25 (define @t122 () (tptp.hAPP @t109 @t57)) % 1.00/1.25 (define @t123 () (tptp.hAPP @t122 @t83)) % 1.00/1.25 (define @t124 () (tptp.hAPP @t122 @t41)) % 1.00/1.25 (define @t125 () (@list @t83 @t41 @t57 @t42)) % 1.00/1.25 (define @t126 () (tptp.hAPP @t109 @t45)) % 1.00/1.25 (define @t127 () (tptp.hAPP @t126 @t108)) % 1.00/1.25 (define @t128 () (@var "V_m" $$unsorted)) % 1.00/1.25 (define @t129 () (tptp.hAPP @t126 @t128)) % 1.00/1.25 (define @t130 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t128 @t108)) % 1.00/1.25 (define @t131 () (tptp.class_Groups_Omonoid__mult @t42)) % 1.00/1.25 (define @t132 () (@list @t108 @t128 @t45 @t42)) % 1.00/1.25 (define @t133 () (tptp.hAPP @t122 (tptp.c_Nat_OSuc @t83))) % 1.00/1.25 (define @t134 () (tptp.hAPP @t60 @t123)) % 1.00/1.25 (define @t135 () (@list @t83 @t57 @t42)) % 1.00/1.25 (define @t136 () (tptp.hAPP @t61 @t123)) % 1.00/1.25 (define @t137 () (tptp.hAPP @t60 @t127)) % 1.00/1.25 (define @t138 () (tptp.hAPP @t137 @t45)) % 1.00/1.25 (define @t139 () (tptp.c_Nat_OSuc @t108)) % 1.00/1.25 (define @t140 () (tptp.hAPP @t126 @t139)) % 1.00/1.25 (define @t141 () (@list @t108 @t45 @t42)) % 1.00/1.25 (define @t142 () (tptp.hAPP @t60 @t45)) % 1.00/1.25 (define @t143 () (tptp.hAPP @t142 @t127)) % 1.00/1.25 (define @t144 () (tptp.class_Power_Opower @t42)) % 1.00/1.25 (define @t145 () (tptp.hAPP @t109 @t68)) % 1.00/1.25 (define @t146 () (and @t144 (tptp.class_Rings_Osemiring__0 @t42))) % 1.00/1.25 (define @t147 () (@list @t108 @t42)) % 1.00/1.25 (define @t148 () (not @t117)) % 1.00/1.25 (define @t149 () (tptp.c_Power_Opower__class_Opower @t71)) % 1.00/1.25 (define @t150 () (tptp.hAPP @t149 @t77)) % 1.00/1.25 (define @t151 () (tptp.hAPP @t150 @t113)) % 1.00/1.25 (define @t152 () (tptp.class_Power_Opower @t71)) % 1.00/1.25 (define @t153 () (@list @t113 @t77 @t71)) % 1.00/1.25 (define @t154 () (@var "V_d" $$unsorted)) % 1.00/1.25 (define @t155 () (@var "V_r" $$unsorted)) % 1.00/1.25 (define @t156 () (tptp.hAPP @t60 @t155)) % 1.00/1.25 (define @t157 () (@var "V_c" $$unsorted)) % 1.00/1.25 (define @t158 () (= @t45 @t102)) % 1.00/1.25 (define @t159 () (tptp.hAPP @t85 @t83)) % 1.00/1.25 (define @t160 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.00/1.25 (define @t161 () (@list @t108)) % 1.00/1.25 (define @t162 () (@var "V_x_2" $$unsorted)) % 1.00/1.25 (define @t163 () (tptp.hAPP @t160 @t162)) % 1.00/1.25 (define @t164 () (tptp.hAPP @t60 @t102)) % 1.00/1.25 (define @t165 () (tptp.hAPP @t164 @t45)) % 1.00/1.25 (define @t166 () (tptp.hAPP @t142 @t102)) % 1.00/1.25 (define @t167 () (@list @t102 @t45 @t42)) % 1.00/1.25 (define @t168 () (@var "V_ry" $$unsorted)) % 1.00/1.25 (define @t169 () (@var "V_lx" $$unsorted)) % 1.00/1.25 (define @t170 () (tptp.hAPP @t60 @t169)) % 1.00/1.25 (define @t171 () (@var "V_rx" $$unsorted)) % 1.00/1.25 (define @t172 () (tptp.hAPP @t60 @t171)) % 1.00/1.25 (define @t173 () (tptp.hAPP @t172 @t168)) % 1.00/1.25 (define @t174 () (tptp.hAPP @t170 @t173)) % 1.00/1.25 (define @t175 () (@list @t168 @t171 @t169 @t42)) % 1.00/1.25 (define @t176 () (tptp.hAPP @t60 (tptp.hAPP @t170 @t171))) % 1.00/1.25 (define @t177 () (@var "V_ly" $$unsorted)) % 1.00/1.25 (define @t178 () (tptp.hAPP @t60 @t177)) % 1.00/1.25 (define @t179 () (tptp.hAPP @t60 (tptp.hAPP @t170 @t177))) % 1.00/1.25 (define @t180 () (tptp.hAPP @t179 @t171)) % 1.00/1.25 (define @t181 () (@list @t171 @t177 @t169 @t42)) % 1.00/1.25 (define @t182 () (tptp.hAPP @t179 @t173)) % 1.00/1.25 (define @t183 () (@list @t168 @t171 @t177 @t169 @t42)) % 1.00/1.25 (define @t184 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t157 @t45)) % 1.00/1.25 (define @t185 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t157)) % 1.00/1.25 (define @t186 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t157 @t154)) % 1.00/1.25 (define @t187 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t186)) % 1.00/1.25 (define @t188 () (@list @t154 @t157 @t45 @t42)) % 1.00/1.25 (define @t189 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t102 @t157)) % 1.00/1.25 (define @t190 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t103 @t157)) % 1.00/1.25 (define @t191 () (= @t190 (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t189))) % 1.00/1.25 (define @t192 () (@list @t157 @t102 @t45 @t42)) % 1.00/1.25 (define @t193 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t102 @t154)) % 1.00/1.25 (define @t194 () (@list @t154 @t157 @t102 @t45 @t42)) % 1.00/1.25 (define @t195 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.00/1.25 (define @t196 () (tptp.hAPP @t195 @t128)) % 1.00/1.25 (define @t197 () (@list @t128)) % 1.00/1.25 (define @t198 () (tptp.hAPP @t195 @t115)) % 1.00/1.25 (define @t199 () (tptp.hAPP @t198 @t113)) % 1.00/1.25 (define @t200 () (@var "V_k_2" $$unsorted)) % 1.00/1.25 (define @t201 () (= @t200 @t19)) % 1.00/1.25 (define @t202 () (= @t115 @t113)) % 1.00/1.25 (define @t203 () (or @t202 @t201)) % 1.00/1.25 (define @t204 () (tptp.hAPP @t195 @t200)) % 1.00/1.25 (define @t205 () (tptp.hAPP @t204 @t113)) % 1.00/1.25 (define @t206 () (tptp.hAPP @t204 @t115)) % 1.00/1.25 (define @t207 () (= @t206 @t205)) % 1.00/1.25 (define @t208 () (@list @t113 @t115 @t200)) % 1.00/1.25 (define @t209 () (tptp.hAPP @t195 @t113)) % 1.00/1.25 (define @t210 () (tptp.hAPP @t209 @t200)) % 1.00/1.25 (define @t211 () (tptp.hAPP @t198 @t200)) % 1.00/1.25 (define @t212 () (@list @t113 @t200 @t115)) % 1.00/1.25 (define @t213 () (tptp.hAPP @t196 @t108)) % 1.00/1.25 (define @t214 () (tptp.hAPP @t195 @t41)) % 1.00/1.25 (define @t215 () (@var "V_nat_H_2" $$unsorted)) % 1.00/1.25 (define @t216 () (@var "V_nat_2" $$unsorted)) % 1.00/1.25 (define @t217 () (tptp.c_Nat_OSuc @t216)) % 1.00/1.25 (define @t218 () (@var "V_y" $$unsorted)) % 1.00/1.25 (define @t219 () (= @t57 @t218)) % 1.00/1.25 (define @t220 () (@list @t218 @t57)) % 1.00/1.25 (define @t221 () (tptp.hAPP @t195 (tptp.c_Nat_OSuc @t200))) % 1.00/1.25 (define @t222 () (tptp.hAPP @t221 @t113)) % 1.00/1.25 (define @t223 () (tptp.hAPP @t221 @t115)) % 1.00/1.25 (define @t224 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t128)) % 1.00/1.25 (define @t225 () (@list @t108 @t128)) % 1.00/1.25 (define @t226 () (@var "V_z" $$unsorted)) % 1.00/1.25 (define @t227 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t218 @t226)) % 1.00/1.25 (define @t228 () (@list @t226 @t218 @t57)) % 1.00/1.25 (define @t229 () (@var "V_k" $$unsorted)) % 1.00/1.25 (define @t230 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t229)) % 1.00/1.25 (define @t231 () (@list @t229 @t108 @t128)) % 1.00/1.25 (define @t232 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t200 @t113)) % 1.00/1.25 (define @t233 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t200 @t115)) % 1.00/1.25 (define @t234 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t113 @t200)) % 1.00/1.25 (define @t235 () (tptp.hAPP @t195 @t229)) % 1.00/1.25 (define @t236 () (tptp.hAPP @t235 @t108)) % 1.00/1.25 (define @t237 () (tptp.hAPP @t235 @t128)) % 1.00/1.25 (define @t238 () (@list @t108 @t128 @t229)) % 1.00/1.25 (define @t239 () (tptp.hAPP @t195 @t108)) % 1.00/1.25 (define @t240 () (tptp.hAPP @t239 @t229)) % 1.00/1.25 (define @t241 () (tptp.hAPP @t196 @t229)) % 1.00/1.25 (define @t242 () (tptp.hAPP @t60 @t68)) % 1.00/1.25 (define @t243 () (= (tptp.hAPP @t242 @t45) @t68)) % 1.00/1.25 (define @t244 () (= (tptp.hAPP @t142 @t68) @t68)) % 1.00/1.25 (define @t245 () (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t68 @t45) @t45)) % 1.00/1.25 (define @t246 () (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t68) @t45)) % 1.00/1.25 (define @t247 () (tptp.c_Groups_Oplus__class_Oplus @t71 @t94 @t77)) % 1.00/1.25 (define @t248 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t71)) % 1.00/1.25 (define @t249 () (@list @t77 @t94 @t71)) % 1.00/1.25 (define @t250 () (tptp.hAPP @t61 @t226)) % 1.00/1.25 (define @t251 () (tptp.hAPP @t61 @t218)) % 1.00/1.25 (define @t252 () (@list @t226 @t218 @t57 @t42)) % 1.00/1.25 (define @t253 () (@var "V_ca_2" $$unsorted)) % 1.00/1.25 (define @t254 () (tptp.c_Groups_Otimes__class_Otimes @t71)) % 1.00/1.25 (define @t255 () (tptp.hAPP @t254 @t94)) % 1.00/1.25 (define @t256 () (tptp.hAPP @t255 @t253)) % 1.00/1.25 (define @t257 () (@var "V_d_2" $$unsorted)) % 1.00/1.25 (define @t258 () (tptp.hAPP @t254 @t77)) % 1.00/1.25 (define @t259 () (tptp.hAPP @t258 @t257)) % 1.00/1.25 (define @t260 () (tptp.hAPP @t258 @t253)) % 1.00/1.25 (define @t261 () (= @t253 @t257)) % 1.00/1.25 (define @t262 () (@list @t257 @t253 @t94 @t77 @t71)) % 1.00/1.25 (define @t263 () (tptp.hAPP @t164 @t157)) % 1.00/1.25 (define @t264 () (tptp.hAPP @t142 @t157)) % 1.00/1.25 (define @t265 () (tptp.hAPP @t60 @t103)) % 1.00/1.25 (define @t266 () (= (tptp.hAPP @t265 @t157) (tptp.c_Groups_Oplus__class_Oplus @t42 @t264 @t263))) % 1.00/1.25 (define @t267 () (tptp.hAPP @t142 @t128)) % 1.00/1.25 (define @t268 () (@var "V_z_2" $$unsorted)) % 1.00/1.25 (define @t269 () (@var "V_y_2" $$unsorted)) % 1.00/1.25 (define @t270 () (@var "V_w_2" $$unsorted)) % 1.00/1.25 (define @t271 () (tptp.hAPP @t254 @t162)) % 1.00/1.25 (define @t272 () (tptp.hAPP @t254 @t270)) % 1.00/1.25 (define @t273 () (tptp.hAPP @t271 @t268)) % 1.00/1.25 (define @t274 () (tptp.hAPP @t272 @t269)) % 1.00/1.25 (define @t275 () (= @t45 @t68)) % 1.00/1.25 (define @t276 () (not @t275)) % 1.00/1.25 (define @t277 () (tptp.hAPP (tptp.hAPP @t109 @t102) @t108)) % 1.00/1.25 (define @t278 () (tptp.class_Groups_Ocomm__monoid__mult @t42)) % 1.00/1.25 (define @t279 () (@list @t108 @t102 @t45 @t42)) % 1.00/1.25 (define @t280 () (tptp.hAPP @t109 @t218)) % 1.00/1.25 (define @t281 () (tptp.c_Nat_OSuc @t128)) % 1.00/1.25 (define @t282 () (@var "V_nat_H" $$unsorted)) % 1.00/1.25 (define @t283 () (@var "V_nat_H_1" $$unsorted)) % 1.00/1.25 (define @t284 () (= @t108 @t19)) % 1.00/1.25 (define @t285 () (tptp.c_Nat_OSuc @t130)) % 1.00/1.25 (define @t286 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t128 @t139)) % 1.00/1.25 (define @t287 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t281 @t108)) % 1.00/1.25 (define @t288 () (tptp.c_Polynomial_Opcompose @t42 @t41 @t83)) % 1.00/1.25 (define @t289 () (@list @t83 @t41 @t45 @t42)) % 1.00/1.25 (define @t290 () (= @t269 @t76)) % 1.00/1.25 (define @t291 () (= @t162 @t76)) % 1.00/1.25 (define @t292 () (tptp.hAPP @t271 @t162)) % 1.00/1.25 (define @t293 () (tptp.c_Groups_Oplus__class_Oplus @t71 @t292 (tptp.hAPP (tptp.hAPP @t254 @t269) @t269))) % 1.00/1.25 (define @t294 () (tptp.class_Rings_Olinordered__ring__strict @t71)) % 1.00/1.25 (define @t295 () (@list @t269 @t162 @t71)) % 1.00/1.25 (define @t296 () (@var "V_b_H" $$unsorted)) % 1.00/1.25 (define @t297 () (tptp.hAPP @t142 @t296)) % 1.00/1.25 (define @t298 () (tptp.class_RealVector_Oreal__normed__algebra @t42)) % 1.00/1.25 (define @t299 () (@list @t296 @t102 @t45 @t42)) % 1.00/1.25 (define @t300 () (@var "V_xa" $$unsorted)) % 1.00/1.25 (define @t301 () (tptp.hAPP @t60 @t300)) % 1.00/1.25 (define @t302 () (tptp.hAPP @t301 @t218)) % 1.00/1.25 (define @t303 () (tptp.hAPP @t301 @t57)) % 1.00/1.25 (define @t304 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t57 @t218)) % 1.00/1.25 (define @t305 () (@list @t218 @t57 @t300 @t42)) % 1.00/1.25 (define @t306 () (@var "V_a_H" $$unsorted)) % 1.00/1.25 (define @t307 () (tptp.hAPP @t60 @t306)) % 1.00/1.25 (define @t308 () (tptp.hAPP @t307 @t102)) % 1.00/1.25 (define @t309 () (@list @t102 @t306 @t45 @t42)) % 1.00/1.25 (define @t310 () (@var "V_ya" $$unsorted)) % 1.00/1.25 (define @t311 () (tptp.hAPP @t60 @t218)) % 1.00/1.25 (define @t312 () (tptp.hAPP @t311 @t310)) % 1.00/1.25 (define @t313 () (tptp.hAPP @t61 @t310)) % 1.00/1.25 (define @t314 () (@list @t310 @t218 @t57 @t42)) % 1.00/1.25 (define @t315 () (@var "V_e" $$unsorted)) % 1.00/1.25 (define @t316 () (tptp.class_Groups_Omonoid__add @t42)) % 1.00/1.25 (define @t317 () (tptp.hAPP @t239 @t128)) % 1.00/1.25 (define @t318 () (@list @t162 @t71)) % 1.00/1.25 (define @t319 () (= @t102 @t157)) % 1.00/1.25 (define @t320 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t102 @t45)) % 1.00/1.25 (define @t321 () (tptp.class_Groups_Ocancel__semigroup__add @t42)) % 1.00/1.25 (define @t322 () (@list @t157 @t45 @t102 @t42)) % 1.00/1.25 (define @t323 () (=> (= @t103 @t185) @t319)) % 1.00/1.25 (define @t324 () (= @t94 @t253)) % 1.00/1.25 (define @t325 () (tptp.c_Groups_Oplus__class_Oplus @t71 @t253 @t77)) % 1.00/1.25 (define @t326 () (tptp.class_Groups_Ocancel__semigroup__add @t71)) % 1.00/1.25 (define @t327 () (tptp.c_Groups_Oplus__class_Oplus @t71 @t77 @t253)) % 1.00/1.25 (define @t328 () (tptp.c_Groups_Oplus__class_Oplus @t71 @t77 @t94)) % 1.00/1.25 (define @t329 () (@list @t253 @t94 @t77 @t71)) % 1.00/1.25 (define @t330 () (= @t102 @t68)) % 1.00/1.25 (define @t331 () (= @t166 @t68)) % 1.00/1.25 (define @t332 () (tptp.class_Rings_Ono__zero__divisors @t42)) % 1.00/1.25 (define @t333 () (not @t330)) % 1.00/1.25 (define @t334 () (= @t94 @t76)) % 1.00/1.25 (define @t335 () (@list @t94 @t77 @t71)) % 1.00/1.25 (define @t336 () (tptp.class_Rings_Omult__zero @t42)) % 1.00/1.25 (define @t337 () (@list @t218 @t42)) % 1.00/1.25 (define @t338 () (tptp.c_Groups_Oplus__class_Oplus @t71 @t77 @t77)) % 1.00/1.25 (define @t339 () (tptp.class_Groups_Olinordered__ab__group__add @t71)) % 1.00/1.25 (define @t340 () (@list @t77 @t71)) % 1.00/1.25 (define @t341 () (@var "V_u" $$unsorted)) % 1.00/1.25 (define @t342 () (@var "V_j" $$unsorted)) % 1.00/1.25 (define @t343 () (@var "V_i" $$unsorted)) % 1.00/1.25 (define @t344 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t343 @t342)) % 1.00/1.25 (define @t345 () (tptp.hAPP @t195 @t342)) % 1.00/1.25 (define @t346 () (tptp.hAPP @t195 @t343)) % 1.00/1.25 (define @t347 () (@var "T_c" $$unsorted)) % 1.00/1.25 (define @t348 () (tptp.c_Polynomial_Opoly__rec @t71 @t347 @t268 @t2 @t74)) % 1.00/1.25 (define @t349 () (tptp.hAPP (tptp.hAPP @t2 @t77) @t74)) % 1.00/1.25 (define @t350 () (tptp.c_Polynomial_Opoly__rec @t71 @t347 @t268 @t2 (tptp.c_Polynomial_OpCons @t347 @t77 @t74))) % 1.00/1.25 (define @t351 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t347))) % 1.00/1.25 (define @t352 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t347)) @t351) @t268) @t268)) % 1.00/1.25 (define @t353 () (tptp.class_Groups_Ozero @t347)) % 1.00/1.25 (define @t354 () (tptp.c_Polynomial_Odegree @t71 @t74)) % 1.00/1.25 (define @t355 () (tptp.class_Rings_Ocomm__semiring__0 @t71)) % 1.00/1.25 (define @t356 () (@list @t253 @t74 @t71)) % 1.00/1.25 (define @t357 () (tptp.c_Groups_Oone__class_Oone @t42)) % 1.00/1.25 (define @t358 () (tptp.c_Polynomial_OpCons @t42 @t357 @t49)) % 1.00/1.25 (define @t359 () (tptp.hAPP (tptp.hAPP @t110 (tptp.c_Polynomial_OpCons @t42 @t45 @t358)) @t108)) % 1.00/1.25 (define @t360 () (@var "V_nat" $$unsorted)) % 1.00/1.25 (define @t361 () (tptp.c_Nat_OSuc @t360)) % 1.00/1.25 (define @t362 () (@list @t360)) % 1.00/1.25 (define @t363 () (tptp.c_Polynomial_OpCons @t42 @t68 @t89)) % 1.00/1.25 (define @t364 () (tptp.c_Polynomial_Osmult @t42 @t45 @t83)) % 1.00/1.25 (define @t365 () (tptp.c_Groups_Oone__class_Oone @t71)) % 1.00/1.25 (define @t366 () (= @t162 @t365)) % 1.00/1.25 (define @t367 () (tptp.c_Groups_Oone__class_Oone @t48)) % 1.00/1.25 (define @t368 () (tptp.c_Polynomial_Osmult @t42 @t102 @t41)) % 1.00/1.25 (define @t369 () (@list @t41 @t102 @t45 @t42)) % 1.00/1.25 (define @t370 () (tptp.class_Rings_Ozero__neq__one @t42)) % 1.00/1.25 (define @t371 () (= (tptp.hAPP (tptp.hAPP @t60 @t357) @t45) @t45)) % 1.00/1.25 (define @t372 () (= (tptp.hAPP @t142 @t357) @t45)) % 1.00/1.25 (define @t373 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.00/1.25 (define @t374 () (= @t113 @t373)) % 1.00/1.25 (define @t375 () (= @t115 @t373)) % 1.00/1.25 (define @t376 () (and @t375 @t374)) % 1.00/1.25 (define @t377 () (tptp.c_Polynomial_Osmult @t42 @t45 @t41)) % 1.00/1.25 (define @t378 () (tptp.c_Polynomial_Osmult @t42 @t45 @t89)) % 1.00/1.25 (define @t379 () (@list @t83 @t45 @t41 @t42)) % 1.00/1.25 (define @t380 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t357 @t357)) % 1.00/1.25 (define @t381 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t357)) % 1.00/1.25 (define @t382 () (tptp.hAPP (tptp.hAPP @t60 @t381) @t128)) % 1.00/1.25 (define @t383 () (tptp.c_Polynomial_Osmult @t71 @t77 @t74)) % 1.00/1.25 (define @t384 () (tptp.c_Polynomial_Osynthetic__div @t42 @t41 @t157)) % 1.00/1.25 (define @t385 () (tptp.hAPP @t58 @t157)) % 1.00/1.25 (define @t386 () (tptp.c_Polynomial_OpCons @t42 @t385 @t384)) % 1.00/1.25 (define @t387 () (@list @t157 @t41 @t42)) % 1.00/1.25 (define @t388 () (= @t128 @t19)) % 1.00/1.25 (define @t389 () (tptp.c_Polynomial_Osmult @t42 @t157 @t41)) % 1.00/1.25 (define @t390 () (@list @t45 @t41 @t157 @t42)) % 1.00/1.25 (define @t391 () (tptp.hAPP @t145 @t108)) % 1.00/1.25 (define @t392 () (not @t284)) % 1.00/1.25 (define @t393 () (tptp.c_Polynomial_Odegree @t42 @t377)) % 1.00/1.25 (define @t394 () (@list @t41 @t45 @t42)) % 1.00/1.25 (define @t395 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.00/1.25 (define @t396 () (tptp.hAPP @t395 @t57)) % 1.00/1.25 (define @t397 () (tptp.hAPP @t396 @t218)) % 1.00/1.25 (define @t398 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.00/1.25 (define @t399 () (tptp.class_Rings_Ocomm__ring__1 @t42)) % 1.00/1.25 (define @t400 () (tptp.hAPP @t122 @t108)) % 1.00/1.25 (define @t401 () (@var "V_h" $$unsorted)) % 1.00/1.25 (define @t402 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t42 @t41 @t401)) % 1.00/1.25 (define @t403 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.00/1.25 (define @t404 () (@list @t226)) % 1.00/1.25 (define @t405 () (tptp.hAPP @t398 @t226)) % 1.00/1.25 (define @t406 () (@var "V_w" $$unsorted)) % 1.00/1.25 (define @t407 () (tptp.hAPP @t398 @t406)) % 1.00/1.25 (define @t408 () (tptp.hAPP @t405 @t406)) % 1.00/1.25 (define @t409 () (@list @t406 @t226)) % 1.00/1.25 (define @t410 () (@var "V_z2" $$unsorted)) % 1.00/1.25 (define @t411 () (tptp.hAPP @t407 @t410)) % 1.00/1.25 (define @t412 () (@var "V_z1" $$unsorted)) % 1.00/1.25 (define @t413 () (tptp.hAPP @t407 @t412)) % 1.00/1.25 (define @t414 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t412 @t410)) % 1.00/1.25 (define @t415 () (@list @t410 @t412 @t406)) % 1.00/1.25 (define @t416 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t226)) % 1.00/1.25 (define @t417 () (@var "V_z3" $$unsorted)) % 1.00/1.25 (define @t418 () (tptp.hAPP @t398 @t410)) % 1.00/1.25 (define @t419 () (tptp.hAPP @t398 @t412)) % 1.00/1.25 (define @t420 () (@list @t417 @t410 @t412)) % 1.00/1.25 (define @t421 () (tptp.hAPP @t418 @t406)) % 1.00/1.25 (define @t422 () (tptp.hAPP @t419 @t406)) % 1.00/1.25 (define @t423 () (@list @t406 @t410 @t412)) % 1.00/1.25 (define @t424 () (tptp.c_Groups_Ouminus__class_Ouminus @t48 @t377)) % 1.00/1.25 (define @t425 () (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t45)) % 1.00/1.25 (define @t426 () (tptp.class_Rings_Ocomm__ring @t42)) % 1.00/1.25 (define @t427 () (tptp.c_Polynomial_Omonom @t71 @t77 @t113)) % 1.00/1.25 (define @t428 () (= @t162 @t269)) % 1.00/1.25 (define @t429 () (tptp.c_Polynomial_Ocoeff @t71 @t162)) % 1.00/1.25 (define @t430 () (tptp.c_Polynomial_Ocoeff @t42 @t41)) % 1.00/1.25 (define @t431 () (tptp.hAPP @t430 @t108)) % 1.00/1.25 (define @t432 () (tptp.c_Groups_Ouminus__class_Ouminus @t48 @t41)) % 1.00/1.25 (define @t433 () (tptp.class_Groups_Oab__group__add @t42)) % 1.00/1.25 (define @t434 () (@list @t108 @t41 @t42)) % 1.00/1.25 (define @t435 () (@var "B_n" $$unsorted)) % 1.00/1.25 (define @t436 () (tptp.c_Polynomial_Ocoeff @t71 @t74)) % 1.00/1.25 (define @t437 () (tptp.c_Polynomial_Omonom @t42 @t45 @t108)) % 1.00/1.25 (define @t438 () (tptp.c_Polynomial_Omonom @t42 @t45 @t128)) % 1.00/1.25 (define @t439 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t438) @t108)) % 1.00/1.25 (define @t440 () (= @t128 @t108)) % 1.00/1.25 (define @t441 () (not @t440)) % 1.00/1.25 (define @t442 () (tptp.class_Groups_Oab__group__add @t71)) % 1.00/1.25 (define @t443 () (tptp.c_Groups_Ouminus__class_Ouminus @t71 @t94)) % 1.00/1.25 (define @t444 () (tptp.c_Groups_Ouminus__class_Ouminus @t71 @t77)) % 1.00/1.25 (define @t445 () (tptp.class_Groups_Ogroup__add @t71)) % 1.00/1.25 (define @t446 () (= @t77 @t443)) % 1.00/1.25 (define @t447 () (tptp.class_Groups_Ogroup__add @t42)) % 1.00/1.25 (define @t448 () (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t102)) % 1.00/1.25 (define @t449 () (tptp.hAPP @t60 @t425)) % 1.00/1.25 (define @t450 () (tptp.class_Rings_Oring @t42)) % 1.00/1.25 (define @t451 () (tptp.hAPP @t142 @t448)) % 1.00/1.25 (define @t452 () (tptp.hAPP @t449 @t102)) % 1.00/1.25 (define @t453 () (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t57)) % 1.00/1.25 (define @t454 () (@list @t218 @t57 @t42)) % 1.00/1.25 (define @t455 () (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t166)) % 1.00/1.25 (define @t456 () (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t103)) % 1.00/1.25 (define @t457 () (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t425 @t45) @t68)) % 1.00/1.25 (define @t458 () (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t357)) % 1.00/1.25 (define @t459 () (tptp.c_Groups_Ouminus__class_Ouminus @t71 @t365)) % 1.00/1.25 (define @t460 () (tptp.c_Polynomial_Ocoeff @t42 @t46)) % 1.00/1.25 (define @t461 () (@list @t108 @t41 @t45 @t42)) % 1.00/1.25 (define @t462 () (tptp.c_Polynomial_Ocoeff @t42 @t83)) % 1.00/1.25 (define @t463 () (tptp.hAPP @t462 @t108)) % 1.00/1.25 (define @t464 () (@list @t108 @t83 @t41 @t42)) % 1.00/1.25 (define @t465 () (@var "V_h_2" $$unsorted)) % 1.00/1.25 (define @t466 () (tptp.c_Polynomial_Omonom @t42 @t102 @t108)) % 1.00/1.25 (define @t467 () (@list @t102 @t108 @t45 @t42)) % 1.00/1.25 (define @t468 () (tptp.hAPP (tptp.hAPP @t109 @t425) @t108)) % 1.00/1.25 (define @t469 () (tptp.class_Rings_Oring__1 @t42)) % 1.00/1.25 (define @t470 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t367) @t108)) % 1.00/1.25 (define @t471 () (@var "V_one_2" $$unsorted)) % 1.00/1.25 (define @t472 () (@var "V_times_2" $$unsorted)) % 1.00/1.25 (define @t473 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t71 @t471 @t472) @t77)) % 1.00/1.25 (define @t474 () (tptp.c_Nat_OSuc @t113)) % 1.00/1.25 (define @t475 () (tptp.hAPP @t430 @t43)) % 1.00/1.25 (define @t476 () (tptp.hAPP @t436 @t354)) % 1.00/1.25 (define @t477 () (tptp.hAPP @t462 @t87)) % 1.00/1.25 (define @t478 () (tptp.c_Groups_Ouminus__class_Ouminus @t71 @t269)) % 1.00/1.25 (define @t479 () (tptp.c_Nat_OSuc @t112)) % 1.00/1.25 (define @t480 () (tptp.c_Groups_Ouminus__class_Ouminus @t71 @t162)) % 1.00/1.25 (define @t481 () (tptp.c_Polynomial_Oorder @t42 @t45 @t41)) % 1.00/1.25 (define @t482 () (tptp.hAPP @t110 (tptp.c_Polynomial_OpCons @t42 @t425 @t358))) % 1.00/1.25 (define @t483 () (not (tptp.c_Rings_Odvd__class_Odvd @t48 (tptp.hAPP @t482 (tptp.c_Nat_OSuc @t481)) @t41))) % 1.00/1.25 (define @t484 () (tptp.c_Rings_Odvd__class_Odvd @t48 (tptp.hAPP @t482 @t481) @t41)) % 1.00/1.25 (define @t485 () (tptp.c_Polynomial_Opoly__gcd @t42 @t57 @t218)) % 1.00/1.25 (define @t486 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t485) (tptp.c_Polynomial_Odegree @t42 @t485))) % 1.00/1.25 (define @t487 () (= @t218 @t49)) % 1.00/1.25 (define @t488 () (= @t57 @t49)) % 1.00/1.25 (define @t489 () (and @t488 @t487)) % 1.00/1.25 (define @t490 () (not @t489)) % 1.00/1.25 (define @t491 () (tptp.class_Fields_Ofield @t42)) % 1.00/1.25 (define @t492 () (tptp.c_Groups_Ouminus__class_Ouminus @t71 @t253)) % 1.00/1.25 (define @t493 () (tptp.c_Polynomial_OpCons @t71 @t365 @t73)) % 1.00/1.25 (define @t494 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.00/1.25 (define @t495 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t406)) % 1.00/1.25 (define @t496 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t226 @t406)) % 1.00/1.25 (define @t497 () (tptp.c_Groups_Ouminus__class_Ouminus @t48 @t57)) % 1.00/1.25 (define @t498 () (tptp.c_Groups_Ouminus__class_Ouminus @t48 @t218)) % 1.00/1.25 (define @t499 () (tptp.c_Rings_Odvd__class_Odvd @t42 @t45 @t157)) % 1.00/1.25 (define @t500 () (tptp.c_Rings_Odvd__class_Odvd @t42 @t102 @t157)) % 1.00/1.25 (define @t501 () (tptp.c_Rings_Odvd__class_Odvd @t42 @t45 @t102)) % 1.00/1.25 (define @t502 () (tptp.c_Polynomial_Opoly__gcd @t42 @t45 @t102)) % 1.00/1.25 (define @t503 () (tptp.c_Polynomial_Opoly__gcd @t42 @t45 (tptp.c_Polynomial_Opoly__gcd @t42 @t102 @t157))) % 1.00/1.25 (define @t504 () (tptp.c_Polynomial_Opoly__gcd @t71 @t162 @t269)) % 1.00/1.25 (define @t505 () (tptp.class_Fields_Ofield @t71)) % 1.00/1.25 (define @t506 () (tptp.c_Rings_Odvd__class_Odvd @t42 @t45 @t263)) % 1.00/1.25 (define @t507 () (@list @t102 @t157 @t45 @t42)) % 1.00/1.25 (define @t508 () (tptp.hAPP @t164 @t154)) % 1.00/1.25 (define @t509 () (tptp.c_Rings_Odvd__class_Odvd @t42 @t166 @t157)) % 1.00/1.25 (define @t510 () (tptp.c_Rings_Odvd__class_Odvd @t71 @t162 @t269)) % 1.00/1.25 (define @t511 () (tptp.class_Rings_Ocomm__ring__1 @t71)) % 1.00/1.25 (define @t512 () (tptp.hAPP @t280 @t108)) % 1.00/1.25 (define @t513 () (tptp.c_Rings_Odvd__class_Odvd @t42 @t57 @t218)) % 1.00/1.25 (define @t514 () (tptp.c_Rings_Odvd__class_Odvd @t48 @t41 @t364)) % 1.00/1.25 (define @t515 () (tptp.c_Rings_Odvd__class_Odvd @t48 @t41 @t83)) % 1.00/1.25 (define @t516 () (@list @t45 @t83 @t41 @t42)) % 1.00/1.25 (define @t517 () (tptp.c_Rings_Odvd__class_Odvd @t48 @t377 @t83)) % 1.00/1.25 (define @t518 () (= @t269 @t73)) % 1.00/1.25 (define @t519 () (tptp.c_Rings_Odvd__class_Odvd @t71 @t77 @t94)) % 1.00/1.25 (define @t520 () (= @t253 @t76)) % 1.00/1.25 (define @t521 () (or @t520 @t519)) % 1.00/1.25 (define @t522 () (@list @t94 @t253 @t77 @t71)) % 1.00/1.25 (define @t523 () (tptp.hAPP @t254 @t253)) % 1.00/1.25 (define @t524 () (tptp.hAPP @t523 @t94)) % 1.00/1.25 (define @t525 () (tptp.hAPP @t523 @t77)) % 1.00/1.25 (define @t526 () (@list @t94 @t77 @t253 @t71)) % 1.00/1.25 (define @t527 () (tptp.c_Rings_Odvd__class_Odvd @t72 @t74 @t92)) % 1.00/1.25 (define @t528 () (not @t78)) % 1.00/1.25 (define @t529 () (@list @t92 @t74 @t77 @t71)) % 1.00/1.25 (define @t530 () (= @t92 @t73)) % 1.00/1.25 (define @t531 () (@var "V_P_2" $$unsorted)) % 1.00/1.25 (define @t532 () (@var "V_l_2" $$unsorted)) % 1.00/1.25 (define @t533 () (tptp.class_Rings_Odvd @t71)) % 1.00/1.25 (define @t534 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t154) (tptp.c_Polynomial_Odegree @t42 @t154))) % 1.00/1.25 (define @t535 () (@list @t14)) % 1.00/1.25 (define @t536 () (tptp.c_Polynomial_Odegree @t42 @t57)) % 1.00/1.25 (define @t537 () (tptp.c_Polynomial_Osmult @t42 (tptp.c_Rings_Oinverse__class_Oinverse @t42 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t57) @t536)) @t57)) % 1.00/1.25 (define @t538 () (tptp.c_Groups_Ominus__class_Ominus @t42 @t57 @t218)) % 1.00/1.25 (define @t539 () (tptp.hAPP @t60 @t538)) % 1.00/1.25 (define @t540 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t128 @t373)) % 1.00/1.25 (define @t541 () (tptp.hAPP @t160 @t41)) % 1.00/1.25 (define @t542 () (tptp.hAPP @t541 @t128)) % 1.00/1.25 (define @t543 () (not @t388)) % 1.00/1.25 (define @t544 () (tptp.c_Nat_Onat_Onat__case @t71 @t77 @t436)) % 1.00/1.25 (define @t545 () (@var "V_t_2" $$unsorted)) % 1.00/1.25 (define @t546 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t257 @t545)) % 1.00/1.25 (define @t547 () (@list @t545 @t257)) % 1.00/1.25 (define @t548 () (tptp.hAPP @t398 @t200)) % 1.00/1.25 (define @t549 () (tptp.hAPP @t548 @t115)) % 1.00/1.25 (define @t550 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t128 @t108)) % 1.00/1.25 (define @t551 () (tptp.c_Rings_Oinverse__class_Oinverse @t42 @t102)) % 1.00/1.25 (define @t552 () (tptp.c_Groups_Ominus__class_Ominus @t42 @t102 @t45)) % 1.00/1.25 (define @t553 () (tptp.c_Rings_Oinverse__class_Oinverse @t42 @t45)) % 1.00/1.25 (define @t554 () (tptp.hAPP @t60 @t553)) % 1.00/1.25 (define @t555 () (tptp.c_Groups_Ominus__class_Ominus @t42 @t553 @t551)) % 1.00/1.25 (define @t556 () (tptp.class_Rings_Odivision__ring @t42)) % 1.00/1.25 (define @t557 () (tptp.c_Groups_Ominus__class_Ominus @t42 @t45 @t102)) % 1.00/1.25 (define @t558 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t343 @t342) @t229)) % 1.00/1.25 (define @t559 () (@list @t229 @t342 @t343)) % 1.00/1.25 (define @t560 () (tptp.c_Groups_Ominus__class_Ominus @t48 @t41 @t83)) % 1.00/1.25 (define @t561 () (tptp.c_Groups_Ominus__class_Ominus @t71 @t77 @t94)) % 1.00/1.25 (define @t562 () (= @t561 (tptp.c_Groups_Ominus__class_Ominus @t71 @t253 @t257))) % 1.00/1.25 (define @t563 () (= @t553 @t551)) % 1.00/1.25 (define @t564 () (tptp.class_Rings_Odivision__ring__inverse__zero @t42)) % 1.00/1.25 (define @t565 () (tptp.c_Rings_Oinverse__class_Oinverse @t71 @t77)) % 1.00/1.25 (define @t566 () (tptp.class_Rings_Odivision__ring__inverse__zero @t71)) % 1.00/1.25 (define @t567 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t42 @t553) @t45)) % 1.00/1.25 (define @t568 () (= @t553 @t68)) % 1.00/1.25 (define @t569 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t42 @t68) @t68)) % 1.00/1.25 (define @t570 () (= @t561 @t76)) % 1.00/1.25 (define @t571 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t42 @t425) (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t553))) % 1.00/1.25 (define @t572 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t42 @t127) (tptp.hAPP (tptp.hAPP @t109 @t553) @t108))) % 1.00/1.25 (define @t573 () (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t557)) % 1.00/1.25 (define @t574 () (tptp.hAPP @t398 @t229)) % 1.00/1.25 (define @t575 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t229 @t108)) % 1.00/1.25 (define @t576 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t342 @t229)) % 1.00/1.25 (define @t577 () (@list @t128 @t108)) % 1.00/1.25 (define @t578 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t412 @t410)) % 1.00/1.25 (define @t579 () (@list @t115)) % 1.00/1.25 (define @t580 () (tptp.c_Rings_Oinverse__class_Oinverse @t42 @t166)) % 1.00/1.25 (define @t581 () (@var "V_e_2" $$unsorted)) % 1.00/1.25 (define @t582 () (tptp.c_Groups_Oplus__class_Oplus @t71 (tptp.hAPP (tptp.hAPP @t254 @t561) @t581) @t253)) % 1.00/1.25 (define @t583 () (tptp.c_Groups_Oplus__class_Oplus @t71 (tptp.hAPP @t255 @t581) @t257)) % 1.00/1.25 (define @t584 () (tptp.c_Groups_Oplus__class_Oplus @t71 (tptp.hAPP @t258 @t581) @t253)) % 1.00/1.25 (define @t585 () (= @t584 @t583)) % 1.00/1.25 (define @t586 () (tptp.class_Rings_Oring @t71)) % 1.00/1.25 (define @t587 () (@list @t257 @t94 @t253 @t581 @t77 @t71)) % 1.00/1.25 (define @t588 () (tptp.c_Groups_Oplus__class_Oplus @t71 (tptp.hAPP (tptp.hAPP @t254 (tptp.c_Groups_Ominus__class_Ominus @t71 @t94 @t77)) @t581) @t257)) % 1.00/1.25 (define @t589 () (tptp.c_Groups_Ominus__class_Ominus @t42 @t218 @t102)) % 1.00/1.25 (define @t590 () (tptp.hAPP @t60 (tptp.c_Groups_Ominus__class_Ominus @t42 @t57 @t45))) % 1.00/1.25 (define @t591 () (tptp.hAPP @t590 @t102)) % 1.00/1.25 (define @t592 () (tptp.c_Groups_Ominus__class_Ominus @t42 @t251 @t166)) % 1.00/1.25 (define @t593 () (@list @t102 @t45 @t218 @t57 @t42)) % 1.00/1.25 (define @t594 () (@var "V_D_2" $$unsorted)) % 1.00/1.25 (define @t595 () (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t218)) % 1.00/1.25 (define @t596 () (= @t557 (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t448))) % 1.00/1.25 (define @t597 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t115 @t113)) % 1.00/1.25 (define @t598 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t206 @t205)) % 1.00/1.25 (define @t599 () (@var "V_f1_2" $$unsorted)) % 1.00/1.25 (define @t600 () (@var "V_f2_2" $$unsorted)) % 1.00/1.25 (define @t601 () (tptp.c_Nat_Onat_Onat__case @t71 @t599 @t600)) % 1.00/1.25 (define @t602 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t226 @t495)) % 1.00/1.25 (define @t603 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t226 @t406)) % 1.00/1.25 (define @t604 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t553 @t551)) % 1.00/1.25 (define @t605 () (=> @t276 (= (tptp.hAPP @t554 @t45) @t357))) % 1.00/1.25 (define @t606 () (tptp.hAPP @t61 @t57)) % 1.00/1.25 (define @t607 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t373)) % 1.00/1.25 (define @t608 () (tptp.hAPP @t109 @t128)) % 1.00/1.25 (define @t609 () (tptp.hAPP @t60 @t128)) % 1.00/1.25 (define @t610 () (tptp.hAPP @t608 @t108)) % 1.00/1.25 (define @t611 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t45 @t102)) % 1.00/1.25 (define @t612 () (@list @t102 @t108 @t45)) % 1.00/1.25 (define @t613 () (@list @t57)) % 1.00/1.25 (define @t614 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t269 @t162)) % 1.00/1.25 (define @t615 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t162 @t269)) % 1.00/1.25 (define @t616 () (@list @t269 @t162)) % 1.00/1.25 (define @t617 () (and @t615 (not @t614))) % 1.00/1.25 (define @t618 () (not @t428)) % 1.00/1.25 (define @t619 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t102 @t45)) % 1.00/1.25 (define @t620 () (and @t611 (not @t619))) % 1.00/1.25 (define @t621 () (not @t158)) % 1.00/1.25 (define @t622 () (@list @t102 @t45)) % 1.00/1.25 (define @t623 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t57 @t218)) % 1.00/1.25 (define @t624 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t218 @t57)) % 1.00/1.25 (define @t625 () (and @t623 (not @t624))) % 1.00/1.25 (define @t626 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t45 @t157)) % 1.00/1.25 (define @t627 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t102 @t157)) % 1.00/1.25 (define @t628 () (@list @t157 @t102 @t45)) % 1.00/1.25 (define @t629 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t108 @t128)) % 1.00/1.25 (define @t630 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t128 @t108)) % 1.00/1.25 (define @t631 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t57 @t226)) % 1.00/1.25 (define @t632 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t218 @t226)) % 1.00/1.25 (define @t633 () (and @t626 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t157 @t45)))) % 1.00/1.25 (define @t634 () (and @t631 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t226 @t57)))) % 1.00/1.25 (define @t635 () (=> (and @t632 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t226 @t218))) @t634)) % 1.00/1.25 (define @t636 () (not @t219)) % 1.00/1.25 (define @t637 () (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t229 @t108) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t229 @t128))) % 1.00/1.25 (define @t638 () (@list @t154 @t102 @t157 @t45 @t42)) % 1.00/1.25 (define @t639 () (tptp.class_Fields_Ofield__inverse__zero @t42)) % 1.00/1.25 (define @t640 () (tptp.c_Rings_Oinverse__class_Oinverse @t71 @t162)) % 1.00/1.25 (define @t641 () (tptp.class_Fields_Ofield__inverse__zero @t71)) % 1.00/1.25 (define @t642 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t45 @t102)) % 1.00/1.25 (define @t643 () (@list @t94 @t77 @t113)) % 1.00/1.25 (define @t644 () (tptp.c_Divides_Odiv__class_Omod @t48 @t57 @t218)) % 1.00/1.25 (define @t645 () (not @t487)) % 1.00/1.25 (define @t646 () (=> @t645 (= @t485 (tptp.c_Polynomial_Opoly__gcd @t42 @t218 @t644)))) % 1.00/1.25 (define @t647 () (@list @t57 @t218 @t42)) % 1.00/1.25 (define @t648 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t108)) % 1.00/1.25 (define @t649 () (@list @t57 @t108 @t42)) % 1.00/1.25 (define @t650 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t281 @t139)) % 1.00/1.25 (define @t651 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t128 @t108)) % 1.00/1.25 (define @t652 () (tptp.c_Orderings_Oord__class_Oless @t71 @t77 @t94)) % 1.00/1.25 (define @t653 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t71)) % 1.00/1.25 (define @t654 () (tptp.c_Orderings_Oord__class_Oless @t42 @t185 @t189)) % 1.00/1.25 (define @t655 () (tptp.c_Orderings_Oord__class_Oless @t42 @t45 @t102)) % 1.00/1.25 (define @t656 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t42)) % 1.00/1.25 (define @t657 () (tptp.c_Orderings_Oord__class_Oless @t42 @t184 (tptp.c_Groups_Oplus__class_Oplus @t42 @t157 @t102))) % 1.00/1.25 (define @t658 () (tptp.c_Orderings_Oord__class_Oless @t42 @t157 @t154)) % 1.00/1.25 (define @t659 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t42)) % 1.00/1.25 (define @t660 () (@list @t102 @t45 @t157 @t42)) % 1.00/1.25 (define @t661 () (tptp.class_Groups_Oordered__ab__group__add @t71)) % 1.00/1.25 (define @t662 () (tptp.c_Orderings_Oord__class_Oless @t71 @t444 @t94)) % 1.00/1.25 (define @t663 () (tptp.c_Polynomial_Osmult @t42 @t45 @t57)) % 1.00/1.25 (define @t664 () (@list @t218 @t57 @t45 @t42)) % 1.00/1.25 (define @t665 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t113)) % 1.00/1.25 (define @t666 () (@list @t113)) % 1.00/1.25 (define @t667 () (tptp.c_Nat_OSuc @t115)) % 1.00/1.25 (define @t668 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t113 @t667)) % 1.00/1.25 (define @t669 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t115 @t113)) % 1.00/1.25 (define @t670 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t115 @t474)) % 1.00/1.25 (define @t671 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t113 @t115)) % 1.00/1.25 (define @t672 () (@list @t115 @t113)) % 1.00/1.25 (define @t673 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t128)) % 1.00/1.25 (define @t674 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t128 @t139)) % 1.00/1.25 (define @t675 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t281 @t108)) % 1.00/1.25 (define @t676 () (tptp.c_Nat_OSuc @t343)) % 1.00/1.25 (define @t677 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t342 @t229)) % 1.00/1.25 (define @t678 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t343 @t342)) % 1.00/1.25 (define @t679 () (not @t651)) % 1.00/1.25 (define @t680 () (@list @t128 @t342 @t343)) % 1.00/1.25 (define @t681 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t343 @t229)) % 1.00/1.25 (define @t682 () (@var "V_l" $$unsorted)) % 1.00/1.25 (define @t683 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t229 @t682)) % 1.00/1.25 (define @t684 () (tptp.hAPP @t531 @t113)) % 1.00/1.25 (define @t685 () (tptp.hBOOL (tptp.hAPP @t684 @t115))) % 1.00/1.25 (define @t686 () (@var "V_t" $$unsorted)) % 1.00/1.25 (define @t687 () (@var "V_s" $$unsorted)) % 1.00/1.25 (define @t688 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t218)) % 1.00/1.25 (define @t689 () (tptp.c_Polynomial_Odegree @t42 @t218)) % 1.00/1.25 (define @t690 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t536 @t689)) % 1.00/1.25 (define @t691 () (tptp.class_Rings_Olinordered__idom @t42)) % 1.00/1.25 (define @t692 () (@var "V_N" $$unsorted)) % 1.00/1.25 (define @t693 () (tptp.hAPP @t126 @t692)) % 1.00/1.25 (define @t694 () (tptp.c_Orderings_Oord__class_Oless @t42 @t357 @t45)) % 1.00/1.25 (define @t695 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t692)) % 1.00/1.25 (define @t696 () (tptp.class_Rings_Olinordered__semidom @t42)) % 1.00/1.25 (define @t697 () (@list @t45 @t692 @t108 @t42)) % 1.00/1.25 (define @t698 () (tptp.hAPP @t149 @t94)) % 1.00/1.25 (define @t699 () (tptp.class_Rings_Olinordered__semidom @t71)) % 1.00/1.25 (define @t700 () (tptp.c_Orderings_Oord__class_Oless @t42 @t45 @t357)) % 1.00/1.25 (define @t701 () (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t45)) % 1.00/1.25 (define @t702 () (tptp.c_Polynomial_Osmult @t42 @t45 @t218)) % 1.00/1.25 (define @t703 () (tptp.hAPP @t60 @t157)) % 1.00/1.25 (define @t704 () (tptp.hAPP @t703 @t102)) % 1.00/1.25 (define @t705 () (tptp.hAPP @t703 @t45)) % 1.00/1.25 (define @t706 () (tptp.c_Orderings_Oord__class_Oless @t42 @t705 @t704)) % 1.00/1.25 (define @t707 () (tptp.c_Orderings_Oord__class_Oless @t42 @t157 @t68)) % 1.00/1.25 (define @t708 () (tptp.c_Orderings_Oord__class_Oless @t42 @t102 @t45)) % 1.00/1.25 (define @t709 () (tptp.class_Rings_Olinordered__ring__strict @t42)) % 1.00/1.25 (define @t710 () (tptp.c_Orderings_Oord__class_Oless @t42 @t264 @t263)) % 1.00/1.25 (define @t711 () (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t157)) % 1.00/1.25 (define @t712 () (=> @t655 (=> @t711 @t706))) % 1.00/1.25 (define @t713 () (tptp.class_Rings_Olinordered__semiring__strict @t42)) % 1.00/1.25 (define @t714 () (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t166)) % 1.00/1.25 (define @t715 () (tptp.c_Orderings_Oord__class_Oless @t42 @t102 @t68)) % 1.00/1.25 (define @t716 () (tptp.c_Orderings_Oord__class_Oless @t42 @t45 @t68)) % 1.00/1.25 (define @t717 () (tptp.c_Orderings_Oord__class_Oless @t42 @t166 @t68)) % 1.00/1.25 (define @t718 () (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t102)) % 1.00/1.25 (define @t719 () (tptp.c_Orderings_Oord__class_Oless @t71 @t94 @t77)) % 1.00/1.25 (define @t720 () (tptp.c_Orderings_Oord__class_Oless @t71 @t525 @t524)) % 1.00/1.25 (define @t721 () (tptp.c_Orderings_Oord__class_Oless @t71 @t253 @t76)) % 1.00/1.25 (define @t722 () (=> @t701 @t718)) % 1.00/1.25 (define @t723 () (@list @t45 @t102 @t42)) % 1.00/1.25 (define @t724 () (tptp.c_Orderings_Oord__class_Oless @t71 @t76 @t253)) % 1.00/1.25 (define @t725 () (or (and @t724 @t652) (and @t721 @t719))) % 1.00/1.25 (define @t726 () (tptp.hAPP @t142 @t45)) % 1.00/1.25 (define @t727 () (tptp.class_Rings_Olinordered__ring @t42)) % 1.00/1.25 (define @t728 () (tptp.c_Orderings_Oord__class_Oless @t42 @t103 @t68)) % 1.00/1.25 (define @t729 () (=> @t715 @t728)) % 1.00/1.25 (define @t730 () (tptp.class_Groups_Oordered__comm__monoid__add @t42)) % 1.00/1.25 (define @t731 () (tptp.c_Orderings_Oord__class_Oless @t42 @t102 @t185)) % 1.00/1.25 (define @t732 () (=> (tptp.c_Orderings_Oord__class_Oless @t42 @t102 @t157) @t731)) % 1.00/1.25 (define @t733 () (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t103)) % 1.00/1.25 (define @t734 () (=> @t718 @t733)) % 1.00/1.25 (define @t735 () (tptp.c_Orderings_Oord__class_Oless @t71 @t77 @t76)) % 1.00/1.25 (define @t736 () (= (tptp.c_Orderings_Oord__class_Oless @t71 @t338 @t76) @t735)) % 1.00/1.25 (define @t737 () (tptp.c_Orderings_Oord__class_Oless @t71 @t76 @t77)) % 1.00/1.25 (define @t738 () (tptp.class_Rings_Olinordered__idom @t71)) % 1.00/1.25 (define @t739 () (tptp.c_Orderings_Oord__class_Oless @t42 @t553 @t551)) % 1.00/1.25 (define @t740 () (tptp.class_Fields_Olinordered__field @t42)) % 1.00/1.25 (define @t741 () (tptp.c_Orderings_Oord__class_Oless @t42 @t553 @t68)) % 1.00/1.25 (define @t742 () (tptp.c_Orderings_Oord__class_Oless @t42 @t551 @t553)) % 1.00/1.25 (define @t743 () (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t553)) % 1.00/1.25 (define @t744 () (tptp.class_Fields_Olinordered__field__inverse__zero @t71)) % 1.00/1.25 (define @t745 () (@var "B_j" $$unsorted)) % 1.00/1.25 (define @t746 () (@var "B_m" $$unsorted)) % 1.00/1.25 (define @t747 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t128)) % 1.00/1.25 (define @t748 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t115)) % 1.00/1.25 (define @t749 () (@list @t128 @t343)) % 1.00/1.25 (define @t750 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t200)) % 1.00/1.25 (define @t751 () (and @t750 @t669)) % 1.00/1.25 (define @t752 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t206 @t205)) % 1.00/1.25 (define @t753 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t229)) % 1.00/1.25 (define @t754 () (@var "V_j_2" $$unsorted)) % 1.00/1.25 (define @t755 () (@var "V_i_2" $$unsorted)) % 1.00/1.25 (define @t756 () (tptp.hAPP @t160 @t343)) % 1.00/1.25 (define @t757 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t162)) % 1.00/1.25 (define @t758 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 (tptp.hAPP @t163 @t113))) % 1.00/1.25 (define @t759 () (@list @t113 @t162)) % 1.00/1.25 (define @t760 () (tptp.c_Polynomial_Odegree @t42 @t101)) % 1.00/1.25 (define @t761 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t87 @t108)) % 1.00/1.25 (define @t762 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t108)) % 1.00/1.25 (define @t763 () (@list @t83 @t108 @t41 @t42)) % 1.00/1.25 (define @t764 () (not @t290)) % 1.00/1.25 (define @t765 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t606 (tptp.hAPP @t311 @t218))) % 1.00/1.25 (define @t766 () (tptp.c_Orderings_Oord__class_Oless @t71 @t584 @t583)) % 1.00/1.25 (define @t767 () (tptp.class_Rings_Oordered__ring @t71)) % 1.00/1.25 (define @t768 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t112 @t128)) % 1.00/1.25 (define @t769 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t112 @t108)) % 1.00/1.25 (define @t770 () (@var "B_d" $$unsorted)) % 1.00/1.25 (define @t771 () (tptp.hBOOL (tptp.hAPP @t531 @t770))) % 1.00/1.25 (define @t772 () (= @t77 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t94 @t770))) % 1.00/1.25 (define @t773 () (@list @t770)) % 1.00/1.25 (define @t774 () (tptp.hBOOL (tptp.hAPP @t531 @t19))) % 1.00/1.25 (define @t775 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t77 @t94)) % 1.00/1.25 (define @t776 () (tptp.hBOOL (tptp.hAPP @t531 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t77 @t94)))) % 1.00/1.25 (define @t777 () (@list @t94 @t77 @t531)) % 1.00/1.25 (define @t778 () (tptp.c_Nat_OSuc @t607)) % 1.00/1.25 (define @t779 () (tptp.class_Divides_Osemiring__div @t71)) % 1.00/1.25 (define @t780 () (tptp.class_Divides_Osemiring__div @t42)) % 1.00/1.25 (define @t781 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t128 @t108)) % 1.00/1.25 (define @t782 () (@var "V_f" $$unsorted)) % 1.00/1.25 (define @t783 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t128 @t108)) % 1.00/1.25 (define @t784 () (=> @t679 (= @t783 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t550 @t108)))) % 1.00/1.25 (define @t785 () (=> @t651 (= @t783 @t128))) % 1.00/1.25 (define @t786 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t57 @t218) @t128)) % 1.00/1.25 (define @t787 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t57 @t128)) % 1.00/1.25 (define @t788 () (@list @t218 @t128 @t57)) % 1.00/1.25 (define @t789 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t342)) % 1.00/1.25 (define @t790 () (tptp.c_Nat_OSuc @t783)) % 1.00/1.25 (define @t791 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t281 @t108)) % 1.00/1.25 (define @t792 () (= @t790 @t108)) % 1.00/1.25 (define @t793 () (@list @t257 @t115)) % 1.00/1.25 (define @t794 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t236 @t128)) % 1.00/1.25 (define @t795 () (@list @t128 @t108 @t229)) % 1.00/1.25 (define @t796 () (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t229 @t682) @t494))) % 1.00/1.25 (define @t797 () (@list @t682 @t229)) % 1.00/1.25 (define @t798 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t45)) % 1.00/1.25 (define @t799 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t798 @t102)) % 1.00/1.25 (define @t800 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t102)) % 1.00/1.25 (define @t801 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t45 @t800)) % 1.00/1.25 (define @t802 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t45 @t102)) % 1.00/1.25 (define @t803 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t102 @t157)) % 1.00/1.25 (define @t804 () (tptp.hAPP @t398 @t45)) % 1.00/1.25 (define @t805 () (tptp.hAPP @t804 @t803)) % 1.00/1.25 (define @t806 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t805 @t157)) % 1.00/1.25 (define @t807 () (tptp.hAPP @t804 @t102)) % 1.00/1.25 (define @t808 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t807 @t157)) % 1.00/1.25 (define @t809 () (@list @t102)) % 1.00/1.25 (define @t810 () (@list @t45)) % 1.00/1.25 (define @t811 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t494 @t102)) % 1.00/1.25 (define @t812 () (@list @t45 @t102)) % 1.00/1.25 (define @t813 () (= @t802 @t494)) % 1.00/1.25 (define @t814 () (not @t813)) % 1.00/1.25 (define @t815 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t494 @t229)) % 1.00/1.25 (define @t816 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t108 @t128)) % 1.00/1.25 (define @t817 () (tptp.hAPP @t195 @t102)) % 1.00/1.25 (define @t818 () (tptp.hAPP @t817 @t157)) % 1.00/1.25 (define @t819 () (@var "B_i" $$unsorted)) % 1.00/1.25 (define @t820 () (= @t113 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t204 @t819) @t745))) % 1.00/1.25 (define @t821 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t745 @t200)) % 1.00/1.25 (define @t822 () (@list @t819 @t745)) % 1.00/1.25 (define @t823 () (not @t201)) % 1.00/1.25 (define @t824 () (@list @t200 @t113 @t531)) % 1.00/1.25 (define @t825 () (@list @t268)) % 1.00/1.25 (define @t826 () (tptp.hAPP (tptp.hAPP @t398 @t115) @t113)) % 1.00/1.25 (define @t827 () (tptp.c_Divides_Odiv__class_Omod @t42 @t45 @t102)) % 1.00/1.25 (define @t828 () (tptp.c_Divides_Odiv__class_Omod @t42 @t102 @t157)) % 1.00/1.25 (define @t829 () (tptp.c_Divides_Odiv__class_Omod @t42 @t166 @t157)) % 1.00/1.25 (define @t830 () (tptp.c_Divides_Odiv__class_Omod @t42 @t45 @t157)) % 1.00/1.25 (define @t831 () (tptp.hAPP @t60 @t830)) % 1.00/1.25 (define @t832 () (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.hAPP @t831 @t102) @t157)) % 1.00/1.25 (define @t833 () (= @t828 (tptp.c_Divides_Odiv__class_Omod @t42 @t296 @t157))) % 1.00/1.25 (define @t834 () (= @t830 (tptp.c_Divides_Odiv__class_Omod @t42 @t306 @t157))) % 1.00/1.25 (define @t835 () (@list @t296 @t102 @t306 @t157 @t45 @t42)) % 1.00/1.25 (define @t836 () (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t828) @t157)) % 1.00/1.25 (define @t837 () (tptp.c_Divides_Odiv__class_Omod @t42 @t103 @t157)) % 1.00/1.25 (define @t838 () (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.c_Groups_Oplus__class_Oplus @t42 @t830 @t102) @t157)) % 1.00/1.25 (define @t839 () (tptp.c_Divides_Odiv__class_Omod @t42 @t557 @t157)) % 1.00/1.25 (define @t840 () (tptp.class_Divides_Oring__div @t42)) % 1.00/1.25 (define @t841 () (tptp.c_Divides_Odiv__class_Omod @t42 @t425 @t102)) % 1.00/1.25 (define @t842 () (tptp.c_Rings_Odvd__class_Odvd @t42 @t157 @t102)) % 1.00/1.25 (define @t843 () (@list @t45 @t102 @t157 @t42)) % 1.00/1.25 (define @t844 () (tptp.c_Rings_Odvd__class_Odvd @t42 @t229 (tptp.c_Divides_Odiv__class_Omod @t42 @t128 @t108))) % 1.00/1.25 (define @t845 () (tptp.c_Rings_Odvd__class_Odvd @t42 @t229 @t108)) % 1.00/1.25 (define @t846 () (tptp.c_Rings_Odvd__class_Odvd @t42 @t229 @t128)) % 1.00/1.25 (define @t847 () (@list @t108 @t128 @t229 @t42)) % 1.00/1.25 (define @t848 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t704)) % 1.00/1.25 (define @t849 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t263)) % 1.00/1.25 (define @t850 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t218) @t689)) % 1.00/1.25 (define @t851 () (tptp.c_Polynomial_OpCons @t42 @t45 @t644)) % 1.00/1.25 (define @t852 () (tptp.c_Polynomial_OpCons @t42 @t45 @t57)) % 1.00/1.25 (define @t853 () (@var "V_r_2" $$unsorted)) % 1.00/1.25 (define @t854 () (= @t853 @t73)) % 1.00/1.25 (define @t855 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t227)) % 1.00/1.25 (define @t856 () (tptp.c_Polynomial_Opdivmod__rel @t42 @t57 @t218 @t83 @t155)) % 1.00/1.25 (define @t857 () (@list @t155 @t83 @t218 @t57 @t42)) % 1.00/1.25 (define @t858 () (tptp.c_Orderings_Oord__class_Oless @t71 @t94 @t76)) % 1.00/1.25 (define @t859 () (tptp.c_Orderings_Oord__class_Oless @t71 @t76 @t94)) % 1.00/1.25 (define @t860 () (tptp.c_Rings_Oinverse__class_Odivide @t71 @t77 @t94)) % 1.00/1.25 (define @t861 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t57 @t218)) % 1.00/1.25 (define @t862 () (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t861)) % 1.00/1.25 (define @t863 () (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t218)) % 1.00/1.25 (define @t864 () (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t57)) % 1.00/1.25 (define @t865 () (tptp.c_Orderings_Oord__class_Oless @t42 @t861 @t68)) % 1.00/1.25 (define @t866 () (tptp.c_Orderings_Oord__class_Oless @t42 @t218 @t68)) % 1.00/1.25 (define @t867 () (tptp.c_Orderings_Oord__class_Oless @t42 @t57 @t68)) % 1.00/1.25 (define @t868 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t102 @t157)) % 1.00/1.25 (define @t869 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t45 @t157)) % 1.00/1.25 (define @t870 () (tptp.c_Orderings_Oord__class_Oless @t42 @t869 @t868)) % 1.00/1.25 (define @t871 () (=> @t520 @t78)) % 1.00/1.25 (define @t872 () (= @t260 @t94)) % 1.00/1.25 (define @t873 () (not @t520)) % 1.00/1.25 (define @t874 () (tptp.c_Rings_Oinverse__class_Odivide @t71 @t94 @t253)) % 1.00/1.25 (define @t875 () (= @t77 @t874)) % 1.00/1.25 (define @t876 () (= @t94 @t260)) % 1.00/1.25 (define @t877 () (= @t874 @t77)) % 1.00/1.25 (define @t878 () (@list @t77 @t253 @t94 @t71)) % 1.00/1.25 (define @t879 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t45 @t102)) % 1.00/1.25 (define @t880 () (= @t157 @t68)) % 1.00/1.25 (define @t881 () (not @t880)) % 1.00/1.25 (define @t882 () (tptp.class_Rings_Odivision__ring @t71)) % 1.00/1.25 (define @t883 () (@list @t77 @t94 @t253 @t71)) % 1.00/1.25 (define @t884 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t45 @t45)) % 1.00/1.25 (define @t885 () (=> @t276 (= @t884 @t357))) % 1.00/1.25 (define @t886 () (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t425 @t448) @t879)) % 1.00/1.25 (define @t887 () (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t879)) % 1.00/1.25 (define @t888 () (= @t887 (tptp.c_Rings_Oinverse__class_Odivide @t42 @t45 @t448))) % 1.00/1.25 (define @t889 () (= (tptp.hAPP (tptp.hAPP @t109 @t879) @t108) (tptp.c_Rings_Oinverse__class_Odivide @t42 @t127 @t277))) % 1.00/1.25 (define @t890 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t357 @t45)) % 1.00/1.25 (define @t891 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t218 @t310)) % 1.00/1.25 (define @t892 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t57 @t310)) % 1.00/1.25 (define @t893 () (tptp.class_RealVector_Oreal__normed__field @t42)) % 1.00/1.25 (define @t894 () (@var "V_r2" $$unsorted)) % 1.00/1.25 (define @t895 () (@var "V_r1" $$unsorted)) % 1.00/1.25 (define @t896 () (= @t895 @t894)) % 1.00/1.25 (define @t897 () (@var "V_q2" $$unsorted)) % 1.00/1.25 (define @t898 () (@var "V_q1" $$unsorted)) % 1.00/1.25 (define @t899 () (= @t898 @t897)) % 1.00/1.25 (define @t900 () (tptp.c_Polynomial_Opdivmod__rel @t42 @t57 @t218 @t897 @t894)) % 1.00/1.25 (define @t901 () (tptp.c_Polynomial_Opdivmod__rel @t42 @t57 @t218 @t898 @t895)) % 1.00/1.25 (define @t902 () (@list @t894 @t897 @t895 @t898 @t218 @t57 @t42)) % 1.00/1.25 (define @t903 () (= @t879 (tptp.hAPP @t142 @t551))) % 1.00/1.25 (define @t904 () (= @t553 @t890)) % 1.00/1.25 (define @t905 () (=> @t714 (tptp.c_Orderings_Oord__class_Oless @t42 (tptp.c_Rings_Oinverse__class_Odivide @t42 @t157 @t45) (tptp.c_Rings_Oinverse__class_Odivide @t42 @t157 @t102)))) % 1.00/1.25 (define @t906 () (tptp.c_Orderings_Oord__class_Oless @t71 @t260 @t94)) % 1.00/1.25 (define @t907 () (tptp.c_Orderings_Oord__class_Oless @t71 @t874 @t77)) % 1.00/1.25 (define @t908 () (tptp.class_Fields_Olinordered__field @t71)) % 1.00/1.25 (define @t909 () (tptp.c_Orderings_Oord__class_Oless @t71 @t94 @t260)) % 1.00/1.25 (define @t910 () (tptp.c_Orderings_Oord__class_Oless @t71 @t77 @t874)) % 1.00/1.25 (define @t911 () (tptp.hAPP @t60 @t226)) % 1.00/1.25 (define @t912 () (tptp.hAPP @t911 @t218)) % 1.00/1.25 (define @t913 () (@list @t57 @t226 @t218 @t42)) % 1.00/1.25 (define @t914 () (@list @t226 @t57 @t218 @t42)) % 1.00/1.25 (define @t915 () (not @t721)) % 1.00/1.25 (define @t916 () (not @t724)) % 1.00/1.25 (define @t917 () (tptp.hAPP @t311 @t226)) % 1.00/1.25 (define @t918 () (tptp.hAPP (tptp.hAPP @t60 @t406) @t218)) % 1.00/1.25 (define @t919 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t406 @t226)) % 1.00/1.25 (define @t920 () (not (= @t226 @t68))) % 1.00/1.25 (define @t921 () (not (= @t218 @t68))) % 1.00/1.25 (define @t922 () (@list @t406 @t57 @t226 @t218 @t42)) % 1.00/1.25 (define @t923 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t57 @t912)) % 1.00/1.25 (define @t924 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t57 @t226)) % 1.00/1.25 (define @t925 () (@list @t218 @t57 @t226 @t42)) % 1.00/1.25 (define @t926 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t923 @t218)) % 1.00/1.25 (define @t927 () (tptp.hAPP @t911 @t57)) % 1.00/1.25 (define @t928 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t218 @t226)) % 1.00/1.25 (define @t929 () (tptp.c_Rings_Oinverse__class_Odivide @t42 @t103 @t380)) % 1.00/1.25 (define @t930 () (tptp.hAPP @t703 @t154)) % 1.00/1.25 (define @t931 () (@var "V_r_H" $$unsorted)) % 1.00/1.25 (define @t932 () (tptp.hAPP @t85 @t218)) % 1.00/1.25 (define @t933 () (@var "V_q_H" $$unsorted)) % 1.00/1.25 (define @t934 () (tptp.hAPP @t932 @t226)) % 1.00/1.25 (define @t935 () (tptp.c_Polynomial_OpCons @t42 @t45 @t155)) % 1.00/1.25 (define @t936 () (tptp.c_Polynomial_Opos__poly @t71 @t74)) % 1.00/1.25 (define @t937 () (tptp.c_Polynomial_Opos__poly @t42 @t83)) % 1.00/1.25 (define @t938 () (tptp.c_Polynomial_Opos__poly @t42 @t41)) % 1.00/1.25 (define @t939 () (tptp.hAPP @t395 @t229)) % 1.00/1.25 (define @t940 () (tptp.hAPP (tptp.hAPP @t398 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t57 @t226)) @t403)) @t154)) % 1.00/1.25 (define @t941 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t494 @t154)) % 1.00/1.25 (define @t942 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t45 @t102)) % 1.00/1.25 (define @t943 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t798 @t102)) % 1.00/1.25 (define @t944 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t45 @t800)) % 1.00/1.25 (define @t945 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t57 @t218)) % 1.00/1.25 (define @t946 () (tptp.c_Divides_Odiv__class_Odiv @t71 @t94 @t77)) % 1.00/1.25 (define @t947 () (tptp.c_Groups_Oabs__class_Oabs @t42 @t45)) % 1.00/1.25 (define @t948 () (= (tptp.c_Groups_Oabs__class_Oabs @t42 @t553) (tptp.c_Rings_Oinverse__class_Oinverse @t42 @t947))) % 1.00/1.25 (define @t949 () (tptp.c_Groups_Oabs__class_Oabs @t42 @t127)) % 1.00/1.25 (define @t950 () (tptp.class_Fields_Olinordered__field__inverse__zero @t42)) % 1.00/1.25 (define @t951 () (tptp.c_Groups_Oabs__class_Oabs @t42 @t552)) % 1.00/1.25 (define @t952 () (tptp.c_Groups_Oabs__class_Oabs @t42 @t557)) % 1.00/1.25 (define @t953 () (tptp.class_Groups_Oordered__ab__group__add__abs @t42)) % 1.00/1.25 (define @t954 () (tptp.c_Groups_Oabs__class_Oabs @t42 @t229)) % 1.00/1.25 (define @t955 () (tptp.c_Rings_Odvd__class_Odvd @t71 @t115 @t200)) % 1.00/1.25 (define @t956 () (@list @t200 @t115 @t71)) % 1.00/1.25 (define @t957 () (tptp.c_Groups_Oabs__class_Oabs @t42 @t102)) % 1.00/1.25 (define @t958 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t947 @t957)) % 1.00/1.25 (define @t959 () (tptp.hAPP @t60 @t947)) % 1.00/1.25 (define @t960 () (tptp.hAPP @t959 @t957)) % 1.00/1.25 (define @t961 () (tptp.c_Groups_Oabs__class_Oabs @t71 @t77)) % 1.00/1.25 (define @t962 () (tptp.class_Groups_Oordered__ab__group__add__abs @t71)) % 1.00/1.25 (define @t963 () (tptp.c_Divides_Odiv__class_Odiv @t42 @t57 @t218)) % 1.00/1.25 (define @t964 () (tptp.c_Rings_Odvd__class_Odvd @t42 @t218 @t57)) % 1.00/1.25 (define @t965 () (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t963)) % 1.00/1.25 (define @t966 () (tptp.c_Divides_Odiv__class_Odiv @t42 @t102 @t45)) % 1.00/1.25 (define @t967 () (tptp.hAPP @t60 @t966)) % 1.00/1.25 (define @t968 () (tptp.c_Divides_Odiv__class_Odiv @t42 @t45 @t102)) % 1.00/1.25 (define @t969 () (tptp.c_Divides_Odiv__class_Odiv @t42 @t705 @t704)) % 1.00/1.25 (define @t970 () (=> @t881 (= @t969 @t968))) % 1.00/1.25 (define @t971 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t162)) % 1.00/1.25 (define @t972 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t128 @t108)) % 1.00/1.25 (define @t973 () (tptp.hAPP (tptp.hAPP @t398 @t108) @t972)) % 1.00/1.25 (define @t974 () (= (tptp.c_Groups_Oabs__class_Oabs @t42 @t879) (tptp.c_Rings_Oinverse__class_Odivide @t42 @t947 @t957))) % 1.00/1.25 (define @t975 () (= @t947 @t45)) % 1.00/1.25 (define @t976 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t77 @t94) @t494)) % 1.00/1.25 (define @t977 () (@list @t77 @t94)) % 1.00/1.25 (define @t978 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t102 @t157)) % 1.00/1.25 (define @t979 () (=> @t716 (= @t947 @t425))) % 1.00/1.25 (define @t980 () (tptp.c_Groups_Oabs__class_Oabs @t42 @t57)) % 1.00/1.25 (define @t981 () (tptp.hAPP @t398 @t102)) % 1.00/1.25 (define @t982 () (tptp.hAPP @t981 @t157)) % 1.00/1.25 (define @t983 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t494 @t157)) % 1.00/1.25 (define @t984 () (@list @t102 @t45 @t157)) % 1.00/1.25 (define @t985 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t343)) % 1.00/1.25 (define @t986 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t343 @t494)) % 1.00/1.25 (define @t987 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t981 @t942) @t802)) % 1.00/1.25 (define @t988 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t45 @t229)) % 1.00/1.25 (define @t989 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t157 @t968)) % 1.00/1.25 (define @t990 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t968 @t357)) % 1.00/1.25 (define @t991 () (tptp.hAPP (tptp.hAPP @t60 @t968) @t102)) % 1.00/1.25 (define @t992 () (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.hAPP @t164 @t968) @t827)) % 1.00/1.25 (define @t993 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t991 @t827)) % 1.00/1.25 (define @t994 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t942)) % 1.00/1.25 (define @t995 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t994 @t403)) % 1.00/1.25 (define @t996 () (not (= @t102 @t494))) % 1.00/1.25 (define @t997 () (tptp.c_Groups_Osgn__class_Osgn @t48 @t57)) % 1.00/1.25 (define @t998 () (tptp.c_Orderings_Oord__class_Oless @t48 @t49 @t57)) % 1.00/1.25 (define @t999 () (tptp.c_Groups_Osgn__class_Osgn @t71 @t77)) % 1.00/1.25 (define @t1000 () (tptp.c_Divides_Odiv__class_Odiv @t48 @t57 @t218)) % 1.00/1.25 (define @t1001 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t45 @t102)) % 1.00/1.25 (define @t1002 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t128 @t108)) % 1.00/1.25 (define @t1003 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t237 @t236)) % 1.00/1.25 (define @t1004 () (= @t1003 @t1002)) % 1.00/1.25 (define @t1005 () (= @t229 @t19)) % 1.00/1.25 (define @t1006 () (tptp.c_Groups_Osgn__class_Osgn @t42 @t57)) % 1.00/1.25 (define @t1007 () (tptp.hAPP @t60 @t1006)) % 1.00/1.25 (define @t1008 () (tptp.c_Groups_Ouminus__class_Ouminus @t48 @t1000)) % 1.00/1.25 (define @t1009 () (=> @t651 (= @t1002 @t19))) % 1.00/1.25 (define @t1010 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t102 @t157)) % 1.00/1.25 (define @t1011 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t45 @t157)) % 1.00/1.25 (define @t1012 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t102 @t157)) % 1.00/1.25 (define @t1013 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t45 @t157)) % 1.00/1.25 (define @t1014 () (= (tptp.c_Groups_Osgn__class_Osgn @t42 @t68) @t68)) % 1.00/1.25 (define @t1015 () (tptp.class_RealVector_Oreal__normed__vector @t42)) % 1.00/1.25 (define @t1016 () (tptp.class_Groups_Osgn__if @t42)) % 1.00/1.25 (define @t1017 () (tptp.c_Groups_Osgn__class_Osgn @t42 @t45)) % 1.00/1.25 (define @t1018 () (tptp.hAPP @t195 @t45)) % 1.00/1.25 (define @t1019 () (tptp.hAPP (tptp.hAPP @t195 @t1002) @t108)) % 1.00/1.25 (define @t1020 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t128 @t783)) % 1.00/1.25 (define @t1021 () (=> @t679 (= @t1002 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t550 @t108))))) % 1.00/1.25 (define @t1022 () (tptp.hAPP @t531 @t819)) % 1.00/1.25 (define @t1023 () (tptp.c_Groups_Oabs__class_Oabs @t48 @t57)) % 1.00/1.25 (define @t1024 () (tptp.c_Orderings_Oord__class_Oless @t48 @t57 @t49)) % 1.00/1.25 (define @t1025 () (= @t57 @t68)) % 1.00/1.25 (define @t1026 () (tptp.hBOOL (tptp.hAPP @t1022 @t745))) % 1.00/1.25 (define @t1027 () (= @t113 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t548 @t819) @t745))) % 1.00/1.25 (define @t1028 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t531 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t113 @t200)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t113 @t200)))) % 1.00/1.25 (define @t1029 () (@list @t113 @t531 @t200)) % 1.00/1.25 (define @t1030 () (tptp.c_Groups_Ominus__class_Ominus @t42 @t947 @t957)) % 1.00/1.25 (define @t1031 () (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t425 @t102)) % 1.00/1.25 (define @t1032 () (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t947 @t102)) % 1.00/1.25 (define @t1033 () (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t45 @t102)) % 1.00/1.25 (define @t1034 () (tptp.c_Orderings_Oord__class_Oless__eq @t71 @t77 @t94)) % 1.00/1.25 (define @t1035 () (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t68 @t45)) % 1.00/1.25 (define @t1036 () (tptp.c_Orderings_Oord__class_Oless__eq @t71 @t525 @t524)) % 1.00/1.25 (define @t1037 () (tptp.c_Orderings_Oord__class_Oless @t42 @t264 @t508)) % 1.00/1.25 (define @t1038 () (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t68 @t157)) % 1.00/1.25 (define @t1039 () (=> @t1038 @t1037)) % 1.00/1.25 (define @t1040 () (=> @t1038 @t655)) % 1.00/1.25 (define @t1041 () (=> @t710 @t1040)) % 1.00/1.25 (define @t1042 () (tptp.class_Rings_Olinordered__semiring @t42)) % 1.00/1.25 (define @t1043 () (=> @t706 @t1040)) % 1.00/1.25 (define @t1044 () (=> @t711 @t1033)) % 1.00/1.25 (define @t1045 () (@var "T" $$unsorted)) % 1.00/1.25 (define @t1046 () (tptp.class_Rings_Oidom @t1045)) % 1.00/1.25 (define @t1047 () (@list @t1045)) % 1.00/1.25 (define @t1048 () (@var "T_1" $$unsorted)) % 1.00/1.25 (define @t1049 () (tptp.tc_Polynomial_Opoly @t1048)) % 1.00/1.25 (define @t1050 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1048)) % 1.00/1.25 (define @t1051 () (@list @t1048)) % 1.00/1.25 (define @t1052 () (tptp.class_Rings_Oidom @t1048)) % 1.00/1.25 (define @t1053 () (tptp.class_Rings_Olinordered__idom @t1048)) % 1.00/1.25 (define @t1054 () (tptp.class_Rings_Ocomm__semiring__0 @t1048)) % 1.00/1.25 (define @t1055 () (tptp.class_Rings_Ocomm__semiring__1 @t1048)) % 1.00/1.25 (define @t1056 () (tptp.class_Groups_Ocomm__monoid__add @t1048)) % 1.00/1.25 (define @t1057 () (tptp.class_Fields_Ofield @t1048)) % 1.00/1.25 (define @t1058 () (tptp.class_Groups_Oab__group__add @t1048)) % 1.00/1.25 (define @t1059 () (tptp.class_Rings_Ocomm__ring__1 @t1048)) % 1.00/1.25 (define @t1060 () (tptp.class_Rings_Ocomm__ring @t1048)) % 1.00/1.25 (define @t1061 () (tptp.hBOOL (tptp.c_fequal @t162 @t269))) % 1.00/1.25 (define @t1062 () (not @t34)) % 1.00/1.25 (define @t1063 () (@var "BOUND_VARIABLE_13848" $$unsorted)) % 1.00/1.25 (define @t1064 () (not (forall @t10 (= @t8 (tptp.hAPP @t15 (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.t_a (tptp.c_Polynomial_OpCons tptp.t_a @t13 @t1063)) @t6)))))) % 1.00/1.25 (define @t1065 () (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_If tptp.tc_Nat_Onat (tptp.c_fequal @t1063 @t20) @t19 (tptp.c_Nat_OSuc (tptp.c_Polynomial_Odegree tptp.t_a @t1063))) @t14))) % 1.00/1.25 (define @t1066 () (and @t23 (not (= @t19 @t1065)))) % 1.00/1.25 (define @t1067 () (= @t5 @t13)) % 1.00/1.25 (define @t1068 () (@list @t14 @t13 @t1063)) % 1.00/1.25 (define @t1069 () (forall @t1068 (or @t1067 @t1066 (and @t24 (not (= @t18 @t1065))) @t1064))) % 1.00/1.25 (define @t1070 () (not (= @t1065 @t18))) % 1.00/1.25 (define @t1071 () (and @t24 @t1070)) % 1.00/1.25 (define @t1072 () (or @t1067 @t1066 @t1071 @t1064)) % 1.00/1.25 (define @t1073 () (or @t1066 @t1071 @t1064)) % 1.00/1.25 (define @t1074 () (or @t1067 @t1073)) % 1.00/1.25 (define @t1075 () (forall @t1068 @t1074)) % 1.00/1.25 (define @t1076 () (@list @t1063)) % 1.00/1.25 (define @t1077 () (forall @t1076 @t1074)) % 1.00/1.25 (define @t1078 () (forall @t1076 @t1073)) % 1.00/1.25 (define @t1079 () (or @t1067 @t1078)) % 1.00/1.25 (define @t1080 () (not @t17)) % 1.00/1.25 (define @t1081 () (= @t19 @t21)) % 1.00/1.25 (define @t1082 () (forall @t29 (or (and @t23 (not @t1081)) (and @t24 (not @t22)) @t1080))) % 1.00/1.25 (define @t1083 () (not @t1082)) % 1.00/1.25 (define @t1084 () (not @t1067)) % 1.00/1.25 (define @t1085 () (and @t1084 @t1083)) % 1.00/1.25 (define @t1086 () (forall @t33 (not @t1085))) % 1.00/1.25 (define @t1087 () (not @t1086)) % 1.00/1.25 (define @t1088 () (not @t25)) % 1.00/1.25 (define @t1089 () (=> @t23 @t1081)) % 1.00/1.25 (define @t1090 () (not @t1089)) % 1.00/1.25 (define @t1091 () (or @t1090 @t1088 @t1080)) % 1.00/1.25 (define @t1092 () (and @t1089 @t25 @t17)) % 1.00/1.25 (define @t1093 () (forall @t29 (not @t1092))) % 1.00/1.25 (define @t1094 () (not @t1093)) % 1.00/1.25 (define @t1095 () (not @t11)) % 1.00/1.25 (define @t1096 () (not @t1069)) % 1.00/1.25 (define @t1097 () (=> @t35 @t1096)) % 1.00/1.25 (define @t1098 () (@list false)) % 1.00/1.25 (define @t1099 () (@list @t11)) % 1.00/1.25 (define @t1100 () (=> @t36 @t1096)) % 1.00/1.25 (define @t1101 () (not @t1100)) % 1.00/1.25 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t4 (= (tptp.hAPP @t2 @t3) (tptp.hAPP @t1 @t3))) (= @t2 @t1)))) % 1.00/1.25 (assume @p2 (=> @t11 (not (forall @t10 (=> @t9 (= @t8 @t5)))))) % 1.00/1.25 (assume @p3 (=> @t11 (not (forall @t10 (=> @t9 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.t_a tptp.v_p) @t6) @t5)))))) % 1.00/1.25 (assume @p4 @t38) % 1.00/1.25 (assume @p5 @t40) % 1.00/1.25 (assume @p6 (forall @t54 (=> @t53 (and (=> @t50 (= @t47 @t19)) @t52)))) % 1.00/1.25 (assume @p7 (forall @t54 (=> @t53 @t52))) % 1.00/1.25 (assume @p8 (forall @t56 (=> @t53 (= (tptp.c_Polynomial_Odegree @t42 @t55) @t19)))) % 1.00/1.25 (assume @p9 (forall @t63 (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 @t46) @t57) (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 (tptp.hAPP @t61 @t59)))))) % 1.00/1.25 (assume @p10 (forall @t65 (=> @t53 (and (=> @t50 (= @t64 @t19)) (=> @t51 (= @t64 @t44)))))) % 1.00/1.25 (assume @p11 (=> @t11 (=> (not (forall @t10 (=> @t9 (= @t66 @t5)))) (exists @t33 (and @t31 (exists @t29 (and (=> @t67 @t26) (=> (not @t67) (= @t21 (tptp.c_Nat_OSuc (tptp.c_Polynomial_Odegree tptp.t_a tptp.v_cs____)))) (forall @t10 (= @t66 @t16))))))))) % 1.00/1.25 (assume @p12 (forall @t69 (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 @t49) @t57) @t68)))) % 1.00/1.25 (assume @p13 (forall @t70 (=> @t53 (= (tptp.c_Polynomial_Odegree @t42 @t49) @t19)))) % 1.00/1.25 (assume @p14 (forall @t70 (=> @t53 (= (tptp.c_Polynomial_OpCons @t42 @t68 @t49) @t49)))) % 1.00/1.25 (assume @p15 (forall @t81 (=> @t80 (= (= @t79 @t73) (and @t78 @t75))))) % 1.00/1.25 (assume @p16 (forall @t65 (=> @t82 (= (tptp.c_Groups_Oplus__class_Oplus @t48 @t41 @t49) @t41)))) % 1.00/1.25 (assume @p17 (forall @t84 (=> @t82 (= (tptp.c_Groups_Oplus__class_Oplus @t48 @t49 @t83) @t83)))) % 1.00/1.25 (assume @p18 (forall @t65 (=> @t62 (= (tptp.hAPP @t86 @t49) @t49)))) % 1.00/1.25 (assume @p19 (forall @t84 (=> @t62 (= (tptp.hAPP (tptp.hAPP @t85 @t49) @t83) @t49)))) % 1.00/1.25 (assume @p20 (forall @t91 (=> @t90 (=> @t51 (=> (not (= @t83 @t49)) (= (tptp.c_Polynomial_Odegree @t42 @t89) @t88)))))) % 1.00/1.25 (assume @p21 (forall (@list @t92 @t94 @t74 @t77 @t71) (=> @t80 (= (= @t79 (tptp.c_Polynomial_OpCons @t71 @t94 @t92)) (and @t95 @t93))))) % 1.00/1.25 (assume @p22 (forall @t99 (=> @t98 (= (= @t96 (tptp.c_Polynomial_Opoly @t71 @t92)) @t93)))) % 1.00/1.25 (assume @p23 (forall @t100 (=> @t80 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t71 @t74) @t19) @t75)))) % 1.00/1.25 (assume @p24 (forall @t105 (=> @t82 (= (tptp.c_Groups_Oplus__class_Oplus @t48 @t46 @t104) (tptp.c_Polynomial_OpCons @t42 @t103 @t101))))) % 1.00/1.25 (assume @p25 (forall @t107 (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 @t89) @t57) (tptp.hAPP (tptp.hAPP @t60 @t59) @t106))))) % 1.00/1.25 (assume @p26 (forall @t107 (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 @t101) @t57) (tptp.c_Groups_Oplus__class_Oplus @t42 @t59 @t106))))) % 1.00/1.25 (assume @p27 (forall (@list @t57 @t108 @t41 @t42) (=> @t111 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 (tptp.hAPP (tptp.hAPP @t110 @t41) @t108)) @t57) (tptp.hAPP (tptp.hAPP @t109 @t59) @t108))))) % 1.00/1.25 (assume @p28 (forall @t100 (=> @t98 (= (= @t96 (tptp.c_Polynomial_Opoly @t71 @t73)) @t75)))) % 1.00/1.25 (assume @p29 (forall @t121 (= (= @t120 @t112) @t119))) % 1.00/1.25 (assume @p30 (forall @t121 (= (= @t112 @t120) @t119))) % 1.00/1.25 (assume @p31 (forall @t125 (=> @t111 (= (tptp.hAPP (tptp.hAPP @t60 @t124) @t123) (tptp.hAPP @t122 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t41 @t83)))))) % 1.00/1.25 (assume @p32 (forall @t132 (=> @t131 (= (tptp.hAPP @t126 @t130) (tptp.hAPP (tptp.hAPP @t60 @t129) @t127))))) % 1.00/1.25 (assume @p33 (forall @t135 (=> @t111 (= (tptp.hAPP @t134 @t57) @t133)))) % 1.00/1.25 (assume @p34 (forall @t135 (=> @t111 (= @t136 @t133)))) % 1.00/1.25 (assume @p35 (forall @t141 (=> @t131 (= @t140 @t138)))) % 1.00/1.25 (assume @p36 (forall @t135 (=> @t111 (= @t133 @t136)))) % 1.00/1.25 (assume @p37 (forall @t141 (=> @t144 (= @t140 @t143)))) % 1.00/1.25 (assume @p38 (forall @t147 (=> @t146 (= (tptp.hAPP @t145 @t139) @t68)))) % 1.00/1.25 (assume @p39 (forall @t153 (=> (and @t152 (tptp.class_Rings_Omult__zero @t71) (tptp.class_Rings_Ono__zero__divisors @t71) (tptp.class_Rings_Ozero__neq__one @t71)) (= (= @t151 @t76) (and @t78 @t148))))) % 1.00/1.25 (assume @p40 (forall (@list @t154 @t157 @t102 @t45 @t155 @t42) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t42) (=> (not (= @t155 @t68)) (=> (and @t158 (not (= @t157 @t154))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 (tptp.hAPP @t156 @t157)) (tptp.c_Groups_Oplus__class_Oplus @t42 @t102 (tptp.hAPP @t156 @t154))))))))) % 1.00/1.25 (assume @p41 (forall (@list @t155 @t83 @t41 @t42) (=> @t62 (= (tptp.hAPP (tptp.hAPP @t85 @t101) @t155) (tptp.c_Groups_Oplus__class_Oplus @t48 (tptp.hAPP @t86 @t155) (tptp.hAPP @t159 @t155)))))) % 1.00/1.25 (assume @p42 (forall @t161 (= (tptp.hAPP (tptp.hAPP @t160 @t112) @t108) @t112))) % 1.00/1.25 (assume @p43 (forall (@list @t115 @t162) (= (= (tptp.hAPP @t163 @t115) @t112) (or @t116 (= @t162 @t112))))) % 1.00/1.25 (assume @p44 (forall @t167 (=> @t111 (= @t166 @t165)))) % 1.00/1.25 (assume @p45 (forall @t175 (=> @t111 (= @t174 (tptp.hAPP @t172 (tptp.hAPP @t170 @t168)))))) % 1.00/1.25 (assume @p46 (forall @t175 (=> @t111 (= @t174 (tptp.hAPP @t176 @t168))))) % 1.00/1.25 (assume @p47 (forall @t181 (=> @t111 (= @t180 (tptp.hAPP @t170 (tptp.hAPP @t178 @t171)))))) % 1.00/1.25 (assume @p48 (forall @t181 (=> @t111 (= @t180 (tptp.hAPP @t176 @t177))))) % 1.00/1.25 (assume @p49 (forall @t183 (=> @t111 (= @t182 (tptp.hAPP @t170 (tptp.hAPP @t178 @t173)))))) % 1.00/1.25 (assume @p50 (forall @t183 (=> @t111 (= @t182 (tptp.hAPP @t172 (tptp.hAPP @t179 @t168)))))) % 1.00/1.25 (assume @p51 (forall @t183 (=> @t111 (= @t182 (tptp.hAPP @t176 (tptp.hAPP @t178 @t168)))))) % 1.00/1.25 (assume @p52 (forall (@list @t157 @t45 @t42) (=> @t111 (= @t185 @t184)))) % 1.00/1.25 (assume @p53 (forall @t188 (=> @t111 (= @t187 (tptp.c_Groups_Oplus__class_Oplus @t42 @t157 (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t154)))))) % 1.00/1.25 (assume @p54 (forall @t188 (=> @t111 (= @t187 (tptp.c_Groups_Oplus__class_Oplus @t42 @t185 @t154))))) % 1.00/1.25 (assume @p55 (forall @t192 (=> @t111 @t191))) % 1.00/1.25 (assume @p56 (forall @t192 (=> @t111 (= @t190 (tptp.c_Groups_Oplus__class_Oplus @t42 @t185 @t102))))) % 1.00/1.25 (assume @p57 (forall @t194 (=> @t111 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t103 @t186) (tptp.c_Groups_Oplus__class_Oplus @t42 @t185 @t193))))) % 1.00/1.25 (assume @p58 (forall @t161 (= (tptp.hAPP (tptp.hAPP @t195 @t19) @t108) @t19))) % 1.00/1.25 (assume @p59 (forall @t197 (= (tptp.hAPP @t196 @t19) @t19))) % 1.00/1.25 (assume @p60 (forall @t121 (= (= @t199 @t19) (or @t116 @t117)))) % 1.00/1.25 (assume @p61 (forall @t208 (= @t207 @t203))) % 1.00/1.25 (assume @p62 (forall @t212 (= (= @t211 @t210) @t203))) % 1.00/1.25 (assume @p63 (forall @t132 (=> @t131 (= (tptp.hAPP @t126 @t213) (tptp.hAPP (tptp.hAPP @t109 @t129) @t108))))) % 1.00/1.25 (assume @p64 (forall @t125 (=> @t111 (= (tptp.hAPP (tptp.hAPP @t109 @t124) @t83) (tptp.hAPP @t122 (tptp.hAPP @t214 @t83)))))) % 1.00/1.25 (assume @p65 (forall @t161 (not (= @t108 @t139)))) % 1.00/1.25 (assume @p66 (forall @t161 (not (= @t139 @t108)))) % 1.00/1.25 (assume @p67 (forall (@list @t215 @t216) (= (= @t217 (tptp.c_Nat_OSuc @t215)) (= @t216 @t215)))) % 1.00/1.25 (assume @p68 (forall @t220 (=> (= (tptp.c_Nat_OSuc @t57) (tptp.c_Nat_OSuc @t218)) @t219))) % 1.00/1.25 (assume @p69 (forall @t208 (= (= @t223 @t222) @t202))) % 1.00/1.25 (assume @p70 (forall @t225 (= @t130 @t224))) % 1.00/1.25 (assume @p71 (forall @t228 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t57 @t227) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t218 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t57 @t226))))) % 1.00/1.25 (assume @p72 (forall @t231 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t130 @t229) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t128 @t230)))) % 1.00/1.25 (assume @p73 (forall @t208 (= (= @t233 @t232) @t202))) % 1.00/1.25 (assume @p74 (forall @t212 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t115 @t200) @t234) @t202))) % 1.00/1.25 (assume @p75 (forall @t238 (= (tptp.hAPP @t235 @t130) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t237 @t236)))) % 1.00/1.25 (assume @p76 (forall @t231 (= (tptp.hAPP (tptp.hAPP @t195 @t130) @t229) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t241 @t240)))) % 1.00/1.25 (assume @p77 (forall @t56 (=> @t111 @t243))) % 1.00/1.25 (assume @p78 (forall @t56 (=> @t111 @t244))) % 1.00/1.25 (assume @p79 (forall @t56 (=> @t111 @t245))) % 1.00/1.25 (assume @p80 (forall @t56 (=> @t111 @t246))) % 1.00/1.25 (assume @p81 (forall @t249 (=> @t248 (= (= @t94 @t247) @t78)))) % 1.00/1.25 (assume @p82 (forall @t252 (=> @t111 (= (tptp.hAPP @t61 (tptp.c_Groups_Oplus__class_Oplus @t42 @t218 @t226)) (tptp.c_Groups_Oplus__class_Oplus @t42 @t251 @t250))))) % 1.00/1.25 (assume @p83 (forall @t262 (=> @t248 (= (and (not @t95) (not @t261)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t71 @t260 (tptp.hAPP @t255 @t257)) (tptp.c_Groups_Oplus__class_Oplus @t71 @t259 @t256))))))) % 1.00/1.25 (assume @p84 (forall @t192 (=> @t111 @t266))) % 1.00/1.25 (assume @p85 (forall (@list @t102 @t128 @t45 @t42) (=> @t111 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t267 (tptp.hAPP @t164 @t128)) (tptp.hAPP @t265 @t128))))) % 1.00/1.25 (assume @p86 (forall (@list @t268 @t162 @t269 @t270 @t71) (=> @t248 (= (= (tptp.c_Groups_Oplus__class_Oplus @t71 @t274 @t273) (tptp.c_Groups_Oplus__class_Oplus @t71 (tptp.hAPP @t272 @t268) (tptp.hAPP @t271 @t269))) (or (= @t270 @t162) (= @t269 @t268)))))) % 1.00/1.25 (assume @p87 (forall @t141 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t42) (=> @t276 (not (= @t127 @t68)))))) % 1.00/1.25 (assume @p88 (forall @t141 (=> @t131 (= @t138 @t143)))) % 1.00/1.25 (assume @p89 (forall @t279 (=> @t278 (= (tptp.hAPP (tptp.hAPP @t109 @t166) @t108) (tptp.hAPP @t137 @t277))))) % 1.00/1.25 (assume @p90 (forall (@list @t83 @t218 @t57 @t42) (=> @t111 (= (tptp.hAPP (tptp.hAPP @t109 @t251) @t83) (tptp.hAPP @t134 (tptp.hAPP @t280 @t83)))))) % 1.00/1.25 (assume @p91 (forall @t197 (not (= @t19 @t281)))) % 1.00/1.25 (assume @p92 (forall (@list @t282) (not (= @t19 (tptp.c_Nat_OSuc @t282))))) % 1.00/1.25 (assume @p93 (forall @t197 (not (= @t281 @t19)))) % 1.00/1.25 (assume @p94 (forall (@list @t283) (not (= (tptp.c_Nat_OSuc @t283) @t19)))) % 1.00/1.25 (assume @p95 (forall @t121 (= (= @t199 @t112) (and @t118 @t114)))) % 1.00/1.25 (assume @p96 (forall @t161 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t19 @t108) @t108))) % 1.00/1.25 (assume @p97 (forall @t197 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t128 @t19) @t128))) % 1.00/1.25 (assume @p98 (forall @t121 (= (= @t120 @t19) (and @t116 @t117)))) % 1.00/1.25 (assume @p99 (forall @t225 (=> (= @t130 @t128) @t284))) % 1.00/1.25 (assume @p100 (forall @t225 (= @t286 @t285))) % 1.00/1.25 (assume @p101 (forall @t225 (= @t287 @t285))) % 1.00/1.25 (assume @p102 (forall @t225 (= @t287 @t286))) % 1.00/1.25 (assume @p103 (forall @t225 (= (tptp.hAPP @t196 @t139) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t128 @t213)))) % 1.00/1.25 (assume @p104 (forall @t225 (= (tptp.hAPP (tptp.hAPP @t195 @t281) @t108) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t213)))) % 1.00/1.25 (assume @p105 (forall @t289 (=> @t62 (= (tptp.c_Polynomial_Opcompose @t42 @t46 @t83) (tptp.c_Groups_Oplus__class_Oplus @t48 @t55 (tptp.hAPP @t159 @t288)))))) % 1.00/1.25 (assume @p106 (forall @t295 (=> @t294 (= (= @t293 @t76) (and @t291 @t290))))) % 1.00/1.25 (assume @p107 (forall (@list @t77 @t74 @t71) (=> @t97 (= (= (tptp.hAPP @t96 @t77) @t76) (or @t75 (not (= (tptp.c_Polynomial_Oorder @t71 @t77 @t74) @t19))))))) % 1.00/1.25 (assume @p108 (forall @t299 (=> @t298 (= (tptp.hAPP @t142 (tptp.c_Groups_Oplus__class_Oplus @t42 @t102 @t296)) (tptp.c_Groups_Oplus__class_Oplus @t42 @t166 @t297))))) % 1.00/1.25 (assume @p109 (forall @t305 (=> @t298 (= (tptp.hAPP @t301 @t304) (tptp.c_Groups_Oplus__class_Oplus @t42 @t303 @t302))))) % 1.00/1.25 (assume @p110 (forall @t192 (=> (tptp.class_Rings_Ocomm__semiring @t42) @t266))) % 1.00/1.25 (assume @p111 (forall @t309 (=> @t298 (= (tptp.hAPP (tptp.hAPP @t60 (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t306)) @t102) (tptp.c_Groups_Oplus__class_Oplus @t42 @t166 @t308))))) % 1.00/1.25 (assume @p112 (forall @t314 (=> @t298 (= (tptp.hAPP (tptp.hAPP @t60 @t304) @t310) (tptp.c_Groups_Oplus__class_Oplus @t42 @t313 @t312))))) % 1.00/1.25 (assume @p113 (forall (@list @t157 @t102 @t315 @t45 @t42) (=> (tptp.class_Rings_Osemiring @t42) (= (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.hAPP @t142 @t315) (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.hAPP @t164 @t315) @t157)) (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.hAPP @t265 @t315) @t157))))) % 1.00/1.25 (assume @p114 (forall @t56 (=> @t316 @t245))) % 1.00/1.25 (assume @p115 (forall @t225 (= @t213 @t317))) % 1.00/1.25 (assume @p116 (forall @t231 (= (tptp.hAPP (tptp.hAPP @t195 @t213) @t229) (tptp.hAPP @t196 @t240)))) % 1.00/1.25 (assume @p117 (forall @t84 (=> @t62 (= (tptp.c_Polynomial_Opcompose @t42 @t49 @t83) @t49)))) % 1.00/1.25 (assume @p118 (forall @t107 (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 @t288) @t57) (tptp.hAPP @t58 @t106))))) % 1.00/1.25 (assume @p119 (forall @t318 (=> @t80 (= (= @t76 @t162) @t291)))) % 1.00/1.25 (assume @p120 (forall @t192 (=> (tptp.class_Groups_Oab__semigroup__mult @t42) (= (tptp.hAPP (tptp.hAPP @t60 @t166) @t157) (tptp.hAPP @t142 @t263))))) % 1.00/1.25 (assume @p121 (forall @t322 (=> @t321 (=> (= @t320 @t184) @t319)))) % 1.00/1.25 (assume @p122 (forall @t192 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t42) @t323))) % 1.00/1.25 (assume @p123 (forall @t192 (=> @t321 @t323))) % 1.00/1.25 (assume @p124 (forall (@list @t253 @t77 @t94 @t71) (=> @t326 (= (= @t247 @t325) @t324)))) % 1.00/1.25 (assume @p125 (forall @t329 (=> @t326 (= (= @t328 @t327) @t324)))) % 1.00/1.25 (assume @p126 (forall @t192 (=> (tptp.class_Groups_Oab__semigroup__add @t42) @t191))) % 1.00/1.25 (assume @p127 (forall @t167 (=> @t332 (=> @t331 (or @t275 @t330))))) % 1.00/1.25 (assume @p128 (forall @t167 (=> @t332 (=> @t276 (=> @t333 (not @t331)))))) % 1.00/1.25 (assume @p129 (forall @t335 (=> (tptp.class_Rings_Oring__no__zero__divisors @t71) (= (= (tptp.hAPP @t258 @t94) @t76) (or @t78 @t334))))) % 1.00/1.25 (assume @p130 (forall @t69 (=> @t298 (= (tptp.hAPP @t61 @t68) @t68)))) % 1.00/1.25 (assume @p131 (forall @t56 (=> @t298 @t244))) % 1.00/1.25 (assume @p132 (forall @t56 (=> @t336 @t244))) % 1.00/1.25 (assume @p133 (forall @t337 (=> @t298 (= (tptp.hAPP @t242 @t218) @t68)))) % 1.00/1.25 (assume @p134 (forall (@list @t102 @t42) (=> @t298 (= (tptp.hAPP @t242 @t102) @t68)))) % 1.00/1.25 (assume @p135 (forall @t56 (=> @t336 @t243))) % 1.00/1.25 (assume @p136 (forall @t56 (=> @t82 @t246))) % 1.00/1.25 (assume @p137 (forall @t56 (=> @t316 @t246))) % 1.00/1.25 (assume @p138 (forall @t340 (=> @t339 (= (= @t76 @t338) @t78)))) % 1.00/1.25 (assume @p139 (forall @t56 (=> @t82 @t245))) % 1.00/1.25 (assume @p140 (forall (@list @t229 @t342 @t341 @t343) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t346 @t341) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t345 @t341) @t229)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t195 @t344) @t341) @t229)))) % 1.00/1.25 (assume @p141 (forall @t208 (= @t207 (or @t201 @t202)))) % 1.00/1.25 (assume @p142 (forall @t340 (=> @t339 (= (= @t338 @t76) @t78)))) % 1.00/1.25 (assume @p143 (forall (@list @t74 @t77 @t71 @t268 @t2 @t347) (=> @t353 (=> @t352 (= @t350 (tptp.hAPP @t349 @t348)))))) % 1.00/1.25 (assume @p144 (forall @t356 (=> @t355 (= (= (tptp.c_Polynomial_Osynthetic__div @t71 @t74 @t253) @t73) (= @t354 @t19))))) % 1.00/1.25 (assume @p145 (forall @t141 (=> @t111 (= (tptp.c_Polynomial_Odegree @t42 @t359) @t108)))) % 1.00/1.25 (assume @p146 (forall @t362 (= (tptp.c_Nat_Onat_Onat__size @t361) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Onat_Onat__size @t360) @t112)))) % 1.00/1.25 (assume @p147 (forall (@list @t74 @t77 @t2 @t268 @t71 @t347) (=> @t353 (= @t350 (tptp.hAPP @t349 (tptp.c_If @t71 (tptp.c_fequal @t74 @t351) @t268 @t348)))))) % 1.00/1.25 (assume @p148 (forall @t289 (=> @t62 (= (tptp.hAPP (tptp.hAPP @t85 @t46) @t83) (tptp.c_Groups_Oplus__class_Oplus @t48 @t364 @t363))))) % 1.00/1.25 (assume @p149 (forall @t318 (=> (tptp.class_Groups_Oone @t71) (= (= @t365 @t162) @t366)))) % 1.00/1.25 (assume @p150 (forall @t69 (=> @t111 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 @t367) @t57) @t357)))) % 1.00/1.25 (assume @p151 (forall @t65 (=> @t111 (= (tptp.c_Polynomial_Osmult @t42 @t357 @t41) @t41)))) % 1.00/1.25 (assume @p152 (forall @t70 (=> @t111 (= @t367 @t358)))) % 1.00/1.25 (assume @p153 (forall @t369 (=> @t62 (= (tptp.c_Polynomial_Osmult @t42 @t45 @t368) (tptp.c_Polynomial_Osmult @t42 @t166 @t41))))) % 1.00/1.25 (assume @p154 (forall @t70 (=> @t370 (not (= @t357 @t68))))) % 1.00/1.25 (assume @p155 (forall @t70 (=> @t370 (not (= @t68 @t357))))) % 1.00/1.25 (assume @p156 (forall @t56 (=> @t111 @t371))) % 1.00/1.25 (assume @p157 (forall @t56 (=> @t111 @t372))) % 1.00/1.25 (assume @p158 (forall @t56 (=> @t131 @t371))) % 1.00/1.25 (assume @p159 (forall @t56 (=> @t278 @t371))) % 1.00/1.25 (assume @p160 (forall @t56 (=> @t131 @t372))) % 1.00/1.25 (assume @p161 (forall @t56 (=> @t278 @t372))) % 1.00/1.25 (assume @p162 (forall @t147 (=> @t131 (= (tptp.hAPP (tptp.hAPP @t109 @t357) @t108) @t357)))) % 1.00/1.25 (assume @p163 (forall @t56 (=> @t131 (= (tptp.hAPP @t126 @t373) @t45)))) % 1.00/1.25 (assume @p164 (forall @t69 (=> @t111 (= (tptp.hAPP @t122 @t373) @t57)))) % 1.00/1.25 (assume @p165 (forall @t56 (=> @t62 (= (tptp.c_Polynomial_Osmult @t42 @t45 @t49) @t49)))) % 1.00/1.25 (assume @p166 (forall @t121 (= (= @t199 @t373) @t376))) % 1.00/1.25 (assume @p167 (forall @t161 (= (tptp.hAPP @t239 @t373) @t108))) % 1.00/1.25 (assume @p168 (forall @t121 (= (= @t373 @t199) @t376))) % 1.00/1.25 (assume @p169 (forall @t161 (= (tptp.hAPP (tptp.hAPP @t195 @t373) @t108) @t108))) % 1.00/1.25 (assume @p170 (forall @t289 (=> @t62 (= (tptp.c_Polynomial_Osmult @t42 @t45 @t101) (tptp.c_Groups_Oplus__class_Oplus @t48 @t377 @t364))))) % 1.00/1.25 (assume @p171 (forall @t379 (=> @t62 (= (tptp.hAPP @t86 @t364) @t378)))) % 1.00/1.25 (assume @p172 (forall @t289 (=> @t62 (= (tptp.hAPP (tptp.hAPP @t85 @t377) @t83) @t378)))) % 1.00/1.25 (assume @p173 (= (tptp.c_Nat_Onat_Onat__size @t19) @t19)) % 1.00/1.25 (assume @p174 (forall (@list @t128 @t42) (=> @t111 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t128 @t128) (tptp.hAPP (tptp.hAPP @t60 @t380) @t128))))) % 1.00/1.25 (assume @p175 (forall (@list @t45 @t128 @t42) (=> @t111 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t128 @t267) @t382)))) % 1.00/1.25 (assume @p176 (forall (@list @t128 @t45 @t42) (=> @t111 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t267 @t128) @t382)))) % 1.00/1.25 (assume @p177 (forall @t65 (=> @t62 (= (tptp.c_Polynomial_Osmult @t42 @t68 @t41) @t49)))) % 1.00/1.25 (assume @p178 (forall @t81 (=> @t97 (= (= @t383 @t73) (or @t78 @t75))))) % 1.00/1.25 (assume @p179 (forall @t56 (=> @t144 (= (tptp.hAPP @t126 @t19) @t357)))) % 1.00/1.25 (assume @p180 (forall @t69 (=> @t111 (= (tptp.hAPP @t122 @t19) @t357)))) % 1.00/1.25 (assume @p181 (forall @t387 (=> @t62 (= (tptp.c_Groups_Oplus__class_Oplus @t48 @t41 (tptp.c_Polynomial_Osmult @t42 @t157 @t384)) @t386)))) % 1.00/1.25 (assume @p182 (forall (@list @t155 @t83 @t157 @t41 @t42) (=> @t62 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t48 @t41 (tptp.c_Polynomial_Osmult @t42 @t157 @t83)) (tptp.c_Polynomial_OpCons @t42 @t155 @t83)) (and (= @t155 @t385) (= @t83 @t384)))))) % 1.00/1.25 (assume @p183 (forall @t369 (=> @t62 (= (tptp.c_Polynomial_Osmult @t42 @t45 (tptp.c_Polynomial_OpCons @t42 @t102 @t41)) (tptp.c_Polynomial_OpCons @t42 @t166 @t377))))) % 1.00/1.25 (assume @p184 (forall @t63 (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 @t377) @t57) (tptp.hAPP @t142 @t59))))) % 1.00/1.25 (assume @p185 (= @t373 @t112)) % 1.00/1.25 (assume @p186 (forall @t161 (= @t139 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t373 @t108)))) % 1.00/1.25 (assume @p187 (forall @t161 (= @t139 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t373)))) % 1.00/1.25 (assume @p188 (forall @t225 (=> (= @t128 @t213) (or (= @t108 @t373) @t388)))) % 1.00/1.25 (assume @p189 (forall @t70 (=> @t111 (= (tptp.c_Polynomial_Odegree @t42 @t367) @t19)))) % 1.00/1.25 (assume @p190 (forall @t390 (=> @t62 (=> (= @t389 @t46) @t50)))) % 1.00/1.25 (assume @p191 (forall @t369 (=> @t62 (= (tptp.c_Polynomial_Osmult @t42 @t103 @t41) (tptp.c_Groups_Oplus__class_Oplus @t48 @t377 @t368))))) % 1.00/1.25 (assume @p192 (forall (@list @t157 @t42) (=> @t62 (= (tptp.c_Polynomial_Osynthetic__div @t42 @t49 @t157) @t49)))) % 1.00/1.25 (assume @p193 (forall @t147 (=> @t146 (and (=> @t284 (= @t391 @t357)) (=> @t392 (= @t391 @t68)))))) % 1.00/1.25 (assume @p194 (forall @t394 (=> @t90 (and (=> @t275 (= @t393 @t19)) (=> @t276 (= @t393 @t43)))))) % 1.00/1.25 (assume @p195 (forall @t228 (= (tptp.hAPP @t396 @t227) (tptp.hAPP (tptp.hAPP @t398 @t397) (tptp.hAPP @t396 @t226))))) % 1.00/1.25 (assume @p196 (forall @t390 (=> @t62 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t48 @t389 @t46) @t49) @t50)))) % 1.00/1.25 (assume @p197 (forall @t228 (= (tptp.hAPP (tptp.hAPP @t395 @t397) @t226) (tptp.hAPP @t396 (tptp.hAPP (tptp.hAPP @t195 @t218) @t226))))) % 1.00/1.25 (assume @p198 (forall (@list @t157 @t41 @t45 @t42) (=> @t62 (= (tptp.c_Polynomial_Osynthetic__div @t42 @t46 @t157) @t386)))) % 1.00/1.25 (assume @p199 (forall (@list @t71 @t268 @t2 @t347) (=> @t353 (=> @t352 (= (tptp.c_Polynomial_Opoly__rec @t71 @t347 @t268 @t2 @t351) @t268))))) % 1.00/1.25 (assume @p200 (forall @t379 (=> @t62 (= (tptp.hAPP @t86 (tptp.c_Polynomial_OpCons @t42 @t45 @t83)) (tptp.c_Groups_Oplus__class_Oplus @t48 @t377 @t363))))) % 1.00/1.25 (assume @p201 (forall (@list @t71) (=> @t152 (= @t149 (tptp.c_Power_Opower_Opower @t71 @t365 @t254))))) % 1.00/1.25 (assume @p202 (forall (@list @t41 @t157 @t42) (=> @t399 (= (tptp.c_Groups_Oplus__class_Oplus @t48 (tptp.hAPP (tptp.hAPP @t85 (tptp.c_Polynomial_OpCons @t42 (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t157) @t358)) @t384) (tptp.c_Polynomial_OpCons @t42 @t385 @t49)) @t41)))) % 1.00/1.25 (assume @p203 (forall @t362 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t361) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t360) @t112)))) % 1.00/1.25 (assume @p204 (forall (@list @t57 @t41 @t108 @t42) (=> @t399 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 (tptp.hAPP (tptp.hAPP @t85 (tptp.c_Polynomial_Omonom @t42 @t357 @t108)) @t41)) @t57) (tptp.hAPP (tptp.hAPP @t60 @t400) @t59))))) % 1.00/1.25 (assume @p205 (forall (@list @t401 @t41 @t45 @t42) (=> @t62 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t42 @t46 @t401) (tptp.c_Groups_Oplus__class_Oplus @t48 (tptp.c_Polynomial_Osmult @t42 @t401 @t402) (tptp.c_Polynomial_OpCons @t42 @t45 @t402)))))) % 1.00/1.25 (assume @p206 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t19)) % 1.00/1.25 (assume @p207 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t19)) % 1.00/1.25 (assume @p208 (forall @t141 (=> @t111 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t359) @t108) @t357)))) % 1.00/1.25 (assume @p209 (forall @t404 (= (tptp.hAPP (tptp.hAPP @t398 @t403) @t226) @t226))) % 1.00/1.25 (assume @p210 (forall @t404 (= (tptp.hAPP @t405 @t403) @t226))) % 1.00/1.25 (assume @p211 (forall @t409 (= @t408 (tptp.hAPP @t407 @t226)))) % 1.00/1.25 (assume @p212 (forall @t415 (= (tptp.hAPP @t407 @t414) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t413 @t411)))) % 1.00/1.25 (assume @p213 (forall @t409 (= (tptp.hAPP (tptp.hAPP @t398 @t416) @t406) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t408)))) % 1.00/1.25 (assume @p214 (forall @t420 (= (tptp.hAPP (tptp.hAPP @t398 (tptp.hAPP @t419 @t410)) @t417) (tptp.hAPP @t419 (tptp.hAPP @t418 @t417))))) % 1.00/1.25 (assume @p215 (forall @t423 (= (tptp.hAPP (tptp.hAPP @t398 @t414) @t406) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t422 @t421)))) % 1.00/1.25 (assume @p216 (forall @t394 (=> @t426 (= (tptp.c_Polynomial_Osmult @t42 @t425 @t41) @t424)))) % 1.00/1.25 (assume @p217 (forall (@list @t94 @t113 @t77 @t71) (=> @t80 (= (= @t427 (tptp.c_Polynomial_Omonom @t71 @t94 @t113)) @t95)))) % 1.00/1.25 (assume @p218 (forall @t295 (=> @t80 (= (= @t429 (tptp.c_Polynomial_Ocoeff @t71 @t269)) @t428)))) % 1.00/1.25 (assume @p219 (forall @t434 (=> @t433 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t432) @t108) (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t431))))) % 1.00/1.25 (assume @p220 (forall @t99 (=> @t80 (= @t93 (forall (@list @t435) (= (tptp.hAPP @t436 @t435) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t71 @t92) @t435))))))) % 1.00/1.25 (assume @p221 (forall @t141 (=> @t433 (= (tptp.c_Groups_Ouminus__class_Ouminus @t48 @t437) (tptp.c_Polynomial_Omonom @t42 @t425 @t108))))) % 1.00/1.25 (assume @p222 (forall (@list @t45 @t108 @t128 @t42) (=> @t53 (and (=> @t440 (= @t439 @t45)) (=> @t441 (= @t439 @t68)))))) % 1.00/1.25 (assume @p223 (forall (@list @t57 @t41 @t42) (=> @t426 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 @t432) @t57) (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t59))))) % 1.00/1.25 (assume @p224 (forall (@list @t41 @t45 @t71) (=> @t442 (= (tptp.c_Groups_Ouminus__class_Ouminus @t72 (tptp.c_Polynomial_OpCons @t71 @t45 @t41)) (tptp.c_Polynomial_OpCons @t71 (tptp.c_Groups_Ouminus__class_Ouminus @t71 @t45) (tptp.c_Groups_Ouminus__class_Ouminus @t72 @t41)))))) % 1.00/1.25 (assume @p225 (forall @t394 (=> @t433 (= (tptp.c_Groups_Ouminus__class_Ouminus @t48 @t46) (tptp.c_Polynomial_OpCons @t42 @t425 @t432))))) % 1.00/1.25 (assume @p226 (forall @t335 (=> @t445 (= (= @t444 @t443) @t95)))) % 1.00/1.25 (assume @p227 (forall @t335 (=> @t445 (= (= @t444 @t94) (= @t443 @t77))))) % 1.00/1.25 (assume @p228 (forall @t335 (=> @t445 (= @t446 (= @t94 @t444))))) % 1.00/1.25 (assume @p229 (forall @t56 (=> @t447 (= (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t425) @t45)))) % 1.00/1.25 (assume @p230 (forall @t161 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t108) @t108))) % 1.00/1.25 (assume @p231 (forall @t340 (=> @t339 (= (= @t444 @t77) @t78)))) % 1.00/1.25 (assume @p232 (forall @t340 (=> @t445 (= (= @t444 @t76) @t78)))) % 1.00/1.25 (assume @p233 (forall @t340 (=> @t339 (= (= @t77 @t444) @t78)))) % 1.00/1.25 (assume @p234 (forall @t340 (=> @t445 (= (= @t76 @t444) (= @t76 @t77))))) % 1.00/1.25 (assume @p235 (forall @t70 (=> @t447 (= (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t68) @t68)))) % 1.00/1.25 (assume @p236 (forall @t335 (=> @t97 (= (= (tptp.hAPP @t258 @t77) (tptp.hAPP @t255 @t94)) (or @t95 @t446))))) % 1.00/1.25 (assume @p237 (forall @t167 (=> @t450 (= (tptp.hAPP @t449 @t448) @t166)))) % 1.00/1.25 (assume @p238 (forall @t167 (=> @t450 (= @t452 @t451)))) % 1.00/1.25 (assume @p239 (forall @t454 (=> @t298 (= (tptp.hAPP (tptp.hAPP @t60 @t453) @t218) (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t251))))) % 1.00/1.25 (assume @p240 (forall @t167 (=> @t298 (= @t452 @t455)))) % 1.00/1.25 (assume @p241 (forall (@list @t57 @t300 @t42) (=> @t298 (= (tptp.hAPP @t301 @t453) (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t303))))) % 1.00/1.25 (assume @p242 (forall @t167 (=> @t298 (= @t451 @t455)))) % 1.00/1.25 (assume @p243 (forall @t167 (=> @t450 (= @t455 @t452)))) % 1.00/1.25 (assume @p244 (forall @t167 (=> @t450 (= @t455 @t451)))) % 1.00/1.25 (assume @p245 (forall @t167 (=> @t447 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t425 @t103) @t102)))) % 1.00/1.25 (assume @p246 (forall @t167 (=> @t447 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 (tptp.c_Groups_Oplus__class_Oplus @t42 @t425 @t102)) @t102)))) % 1.00/1.25 (assume @p247 (forall @t167 (=> @t447 (= @t456 (tptp.c_Groups_Oplus__class_Oplus @t42 @t448 @t425))))) % 1.00/1.25 (assume @p248 (forall @t167 (=> @t433 (= @t456 (tptp.c_Groups_Oplus__class_Oplus @t42 @t425 @t448))))) % 1.00/1.25 (assume @p249 (forall @t70 (=> @t433 (= (tptp.c_Groups_Ouminus__class_Ouminus @t48 @t49) @t49)))) % 1.00/1.25 (assume @p250 (forall @t65 (=> @t433 (= (tptp.c_Polynomial_Odegree @t42 @t432) @t43)))) % 1.00/1.25 (assume @p251 (forall @t394 (=> @t426 (= (tptp.c_Polynomial_Osmult @t42 @t45 @t432) @t424)))) % 1.00/1.25 (assume @p252 (forall @t167 (=> @t447 (=> (= @t103 @t68) (= @t425 @t102))))) % 1.00/1.25 (assume @p253 (forall @t56 (=> @t433 @t457))) % 1.00/1.25 (assume @p254 (forall @t56 (=> @t447 @t457))) % 1.00/1.25 (assume @p255 (forall @t335 (=> @t445 (= @t446 (= @t328 @t76))))) % 1.00/1.25 (assume @p256 (forall @t56 (=> @t447 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t45 @t425) @t68)))) % 1.00/1.25 (assume @p257 (forall @t69 (=> @t399 (= @t453 (tptp.hAPP (tptp.hAPP @t60 @t458) @t57))))) % 1.00/1.25 (assume @p258 (forall @t318 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t71) (= (= @t292 @t365) (or @t366 (= @t162 @t459)))))) % 1.00/1.25 (assume @p259 (forall @t147 (=> @t53 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t49) @t108) @t68)))) % 1.00/1.25 (assume @p260 (forall @t394 (=> @t53 (= (tptp.hAPP @t460 @t19) @t45)))) % 1.00/1.25 (assume @p261 (forall @t461 (=> @t53 (= (tptp.hAPP @t460 @t139) @t431)))) % 1.00/1.25 (assume @p262 (forall @t461 (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t377) @t108) (tptp.hAPP @t142 @t431))))) % 1.00/1.25 (assume @p263 (forall @t464 (=> @t82 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t101) @t108) (tptp.c_Groups_Oplus__class_Oplus @t42 @t431 @t463))))) % 1.00/1.25 (assume @p264 (forall (@list @t465 @t74 @t71) (=> @t355 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t71 @t74 @t465) @t73) @t75)))) % 1.00/1.25 (assume @p265 (forall (@list @t401 @t42) (=> @t62 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t42 @t49 @t401) @t49)))) % 1.00/1.25 (assume @p266 (forall (@list @t401 @t41 @t42) (=> @t62 (= (tptp.c_Polynomial_Odegree @t42 @t402) @t43)))) % 1.00/1.25 (assume @p267 (forall @t153 (=> @t80 (= (= @t427 @t73) @t78)))) % 1.00/1.25 (assume @p268 (forall @t147 (=> @t53 (= (tptp.c_Polynomial_Omonom @t42 @t68 @t108) @t49)))) % 1.00/1.25 (assume @p269 (forall @t141 (=> @t53 (=> @t276 (= (tptp.c_Polynomial_Odegree @t42 @t437) @t108))))) % 1.00/1.25 (assume @p270 (forall @t279 (=> @t62 (= (tptp.c_Polynomial_Osmult @t42 @t45 @t466) (tptp.c_Polynomial_Omonom @t42 @t166 @t108))))) % 1.00/1.25 (assume @p271 (forall @t467 (=> @t82 (= (tptp.c_Groups_Oplus__class_Oplus @t48 @t437 @t466) (tptp.c_Polynomial_Omonom @t42 @t103 @t108))))) % 1.00/1.25 (assume @p272 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t19) @t19)) % 1.00/1.25 (assume @p273 (forall @t141 (=> @t469 (= @t468 (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP (tptp.hAPP @t109 @t458) @t108)) @t127))))) % 1.00/1.25 (assume @p274 (forall @t147 (=> @t111 (and (=> @t284 (= @t470 @t357)) (=> @t392 (= @t470 @t68)))))) % 1.00/1.25 (assume @p275 (forall (@list @t77 @t472 @t471 @t71) (= (tptp.hAPP @t473 @t19) @t471))) % 1.00/1.25 (assume @p276 (forall (@list @t113 @t77 @t472 @t471 @t71) (= (tptp.hAPP @t473 @t474) (tptp.hAPP (tptp.hAPP @t472 @t77) (tptp.hAPP @t473 @t113))))) % 1.00/1.25 (assume @p277 (forall @t65 (=> @t53 (=> @t51 (not (= @t475 @t68)))))) % 1.00/1.25 (assume @p278 (forall @t100 (=> @t80 (= (= @t476 @t76) @t75)))) % 1.00/1.25 (assume @p279 (forall @t141 (=> @t53 (= (tptp.c_Polynomial_Omonom @t42 @t45 @t139) (tptp.c_Polynomial_OpCons @t42 @t68 @t437))))) % 1.00/1.25 (assume @p280 (forall (@list @t57 @t108 @t45 @t42) (=> @t111 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 @t437) @t57) (tptp.hAPP @t142 @t400))))) % 1.00/1.25 (assume @p281 (forall @t56 (=> @t53 (= (tptp.c_Polynomial_Omonom @t42 @t45 @t19) @t55)))) % 1.00/1.25 (assume @p282 (forall (@list @t108 @t102 @t128 @t45 @t42) (=> @t62 (= (tptp.hAPP (tptp.hAPP @t85 @t438) @t466) (tptp.c_Polynomial_Omonom @t42 @t166 @t130))))) % 1.00/1.25 (assume @p283 (forall (@list @t57 @t401 @t41 @t42) (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 @t402) @t57) (tptp.hAPP @t58 (tptp.c_Groups_Oplus__class_Oplus @t42 @t401 @t57)))))) % 1.00/1.25 (assume @p284 (forall @t91 (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t89) @t88) (tptp.hAPP (tptp.hAPP @t60 @t475) @t477))))) % 1.00/1.25 (assume @p285 (forall (@list @t401 @t45 @t42) (=> @t62 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t42 @t55 @t401) @t55)))) % 1.00/1.25 (assume @p286 (forall @t295 (=> @t97 (= (= (tptp.hAPP (tptp.hAPP @t149 @t162) @t479) (tptp.hAPP (tptp.hAPP @t149 @t269) @t479)) (or @t428 (= @t162 @t478)))))) % 1.00/1.25 (assume @p287 (forall @t295 (=> @t445 (= (= (tptp.c_Groups_Oplus__class_Oplus @t71 @t162 @t269) @t76) (= @t269 @t480))))) % 1.00/1.25 (assume @p288 (forall @t54 (=> @t90 (=> @t51 (and @t484 @t483))))) % 1.00/1.25 (assume @p289 (forall @t54 (=> @t90 (=> @t51 @t483)))) % 1.00/1.25 (assume @p290 (forall @t394 (=> @t90 @t484))) % 1.00/1.25 (assume @p291 (forall @t454 (=> @t491 (and (=> @t489 (= @t486 @t68)) (=> @t490 (= @t486 @t357)))))) % 1.00/1.25 (assume @p292 (forall (@list @t74 @t253 @t71) (=> @t97 (= (tptp.c_Rings_Odvd__class_Odvd @t72 (tptp.c_Polynomial_OpCons @t71 @t253 @t493) @t74) (= (tptp.hAPP @t96 @t492) @t76))))) % 1.00/1.25 (assume @p293 (forall @t56 (=> @t111 (tptp.c_Rings_Odvd__class_Odvd @t42 @t45 @t68)))) % 1.00/1.25 (assume @p294 (forall @t454 (=> @t491 (tptp.c_Rings_Odvd__class_Odvd @t48 @t485 @t57)))) % 1.00/1.25 (assume @p295 (forall @t454 (=> @t491 (tptp.c_Rings_Odvd__class_Odvd @t48 @t485 @t218)))) % 1.00/1.25 (assume @p296 (not (= @t494 @t403))) % 1.00/1.25 (assume @p297 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t494) @t494)) % 1.00/1.25 (assume @p298 (forall @t404 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t416) @t226))) % 1.00/1.25 (assume @p299 (forall @t404 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t416 @t226) @t494))) % 1.00/1.25 (assume @p300 (forall @t409 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t496) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t416 @t495)))) % 1.00/1.25 (assume @p301 (forall @t404 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t403 @t226) @t226) @t494)))) % 1.00/1.25 (assume @p302 (forall @t454 (=> @t491 (= (tptp.c_Polynomial_Opoly__gcd @t42 @t497 @t218) @t485)))) % 1.00/1.25 (assume @p303 (forall @t454 (=> @t491 (= (tptp.c_Polynomial_Opoly__gcd @t42 @t57 @t498) @t485)))) % 1.00/1.25 (assume @p304 (forall @t56 (=> @t111 (tptp.c_Rings_Odvd__class_Odvd @t42 @t45 @t45)))) % 1.00/1.25 (assume @p305 (forall @t192 (=> @t111 (=> @t501 (=> @t500 @t499))))) % 1.00/1.25 (assume @p306 (forall @t167 (=> @t491 (= @t502 (tptp.c_Polynomial_Opoly__gcd @t42 @t102 @t45))))) % 1.00/1.25 (assume @p307 (forall @t322 (=> @t491 (= (tptp.c_Polynomial_Opoly__gcd @t42 @t102 (tptp.c_Polynomial_Opoly__gcd @t42 @t45 @t157)) @t503)))) % 1.00/1.25 (assume @p308 (forall (@list @t269 @t162 @t200 @t71) (=> @t505 (= (tptp.c_Rings_Odvd__class_Odvd @t72 @t200 @t504) (and (tptp.c_Rings_Odvd__class_Odvd @t72 @t200 @t162) (tptp.c_Rings_Odvd__class_Odvd @t72 @t200 @t269)))))) % 1.00/1.25 (assume @p309 (forall @t192 (=> @t491 (= (tptp.c_Polynomial_Opoly__gcd @t42 @t502 @t157) @t503)))) % 1.00/1.25 (assume @p310 (forall (@list @t218 @t57 @t229 @t42) (=> @t491 (=> (tptp.c_Rings_Odvd__class_Odvd @t48 @t229 @t57) (=> (tptp.c_Rings_Odvd__class_Odvd @t48 @t229 @t218) (tptp.c_Rings_Odvd__class_Odvd @t48 @t229 @t485)))))) % 1.00/1.25 (assume @p311 (forall @t404 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t494 @t226) @t226))) % 1.00/1.25 (assume @p312 (forall @t404 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t226 @t494) @t226))) % 1.00/1.25 (assume @p313 (forall @t409 (= @t496 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t406 @t226)))) % 1.00/1.25 (assume @p314 (forall @t228 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t57 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t218 @t226)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t218 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t57 @t226))))) % 1.00/1.25 (assume @p315 (forall @t420 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t414 @t417) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t412 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t410 @t417))))) % 1.00/1.25 (assume @p316 (forall @t56 (=> @t111 (=> (tptp.c_Rings_Odvd__class_Odvd @t42 @t68 @t45) @t275)))) % 1.00/1.25 (assume @p317 (forall @t167 (=> @t111 (tptp.c_Rings_Odvd__class_Odvd @t42 @t45 @t166)))) % 1.00/1.25 (assume @p318 (forall @t167 (=> @t111 (tptp.c_Rings_Odvd__class_Odvd @t42 @t45 @t165)))) % 1.00/1.25 (assume @p319 (forall @t192 (=> @t111 (=> @t501 @t506)))) % 1.00/1.25 (assume @p320 (forall @t507 (=> @t111 (=> @t499 @t506)))) % 1.00/1.25 (assume @p321 (forall @t194 (=> @t111 (=> @t501 (=> (tptp.c_Rings_Odvd__class_Odvd @t42 @t157 @t154) (tptp.c_Rings_Odvd__class_Odvd @t42 @t264 @t508)))))) % 1.00/1.25 (assume @p322 (forall (@list @t229 @t102 @t45 @t42) (=> (tptp.class_Rings_Odvd @t42) (=> (= @t45 (tptp.hAPP @t164 @t229)) (tptp.c_Rings_Odvd__class_Odvd @t42 @t102 @t45))))) % 1.00/1.25 (assume @p323 (forall @t192 (=> @t111 (=> @t509 @t499)))) % 1.00/1.25 (assume @p324 (forall @t192 (=> @t111 (=> @t509 @t500)))) % 1.00/1.25 (assume @p325 (forall @t192 (=> @t111 (=> @t501 (=> @t499 (tptp.c_Rings_Odvd__class_Odvd @t42 @t45 @t189)))))) % 1.00/1.25 (assume @p326 (forall @t56 (=> @t111 (tptp.c_Rings_Odvd__class_Odvd @t42 @t357 @t45)))) % 1.00/1.25 (assume @p327 (forall @t295 (=> @t511 (= (tptp.c_Rings_Odvd__class_Odvd @t71 @t162 @t478) @t510)))) % 1.00/1.25 (assume @p328 (forall @t295 (=> @t511 (= (tptp.c_Rings_Odvd__class_Odvd @t71 @t480 @t269) @t510)))) % 1.00/1.25 (assume @p329 (forall (@list @t108 @t218 @t57 @t42) (=> @t111 (=> @t513 (tptp.c_Rings_Odvd__class_Odvd @t42 @t400 @t512))))) % 1.00/1.25 (assume @p330 (forall @t516 (=> @t111 (=> @t515 @t514)))) % 1.00/1.25 (assume @p331 (forall @t289 (=> @t111 (=> @t517 @t515)))) % 1.00/1.25 (assume @p332 (forall @t70 (=> @t491 (= (tptp.c_Polynomial_Opoly__gcd @t42 @t49 @t49) @t49)))) % 1.00/1.25 (assume @p333 (forall @t295 (=> @t505 (= (= @t504 @t73) (and (= @t162 @t73) @t518))))) % 1.00/1.25 (assume @p334 (forall @t522 (=> @t97 (= (tptp.c_Rings_Odvd__class_Odvd @t71 @t260 @t256) @t521)))) % 1.00/1.25 (assume @p335 (forall @t526 (=> @t97 (= (tptp.c_Rings_Odvd__class_Odvd @t71 @t525 @t524) @t521)))) % 1.00/1.25 (assume @p336 (forall @t69 (=> @t491 (= (tptp.c_Polynomial_Opoly__gcd @t42 @t57 @t367) @t367)))) % 1.00/1.25 (assume @p337 (forall @t337 (=> @t491 (= (tptp.c_Polynomial_Opoly__gcd @t42 @t367 @t218) @t367)))) % 1.00/1.25 (assume @p338 (forall @t529 (=> @t505 (=> @t528 (= (tptp.c_Rings_Odvd__class_Odvd @t72 @t74 (tptp.c_Polynomial_Osmult @t71 @t77 @t92)) @t527))))) % 1.00/1.25 (assume @p339 (forall @t516 (=> @t491 (=> @t515 (=> @t276 @t517))))) % 1.00/1.25 (assume @p340 (forall @t379 (=> @t491 (=> @t514 (=> @t276 @t515))))) % 1.00/1.25 (assume @p341 (forall @t91 (=> @t90 (=> (= @t475 @t477) (=> @t515 (=> (tptp.c_Rings_Odvd__class_Odvd @t48 @t83 @t41) (= @t41 @t83))))))) % 1.00/1.25 (assume @p342 (forall @t529 (=> @t505 (= (tptp.c_Rings_Odvd__class_Odvd @t72 @t383 @t92) (and (=> @t78 @t530) (=> @t528 @t527)))))) % 1.00/1.25 (assume @p343 (forall @t356 (=> @t97 (= (= (tptp.hAPP @t96 @t253) @t76) (tptp.c_Rings_Odvd__class_Odvd @t72 (tptp.c_Polynomial_OpCons @t71 @t492 @t493) @t74))))) % 1.00/1.25 (assume @p344 (forall (@list @t532 @t531 @t71) (=> (and @t533 (tptp.class_Rings_Osemiring__0 @t71)) (= (exists @t4 (tptp.hBOOL (tptp.hAPP @t531 (tptp.hAPP (tptp.hAPP @t254 @t532) @t3)))) (exists @t4 (and (tptp.c_Rings_Odvd__class_Odvd @t71 @t532 (tptp.c_Groups_Oplus__class_Oplus @t71 @t3 @t76)) (tptp.hBOOL (tptp.hAPP @t531 @t3)))))))) % 1.00/1.25 (assume @p345 (forall (@list @t218 @t57 @t154 @t42) (=> @t491 (=> (tptp.c_Rings_Odvd__class_Odvd @t48 @t154 @t57) (=> (tptp.c_Rings_Odvd__class_Odvd @t48 @t154 @t218) (=> (forall @t535 (=> (tptp.c_Rings_Odvd__class_Odvd @t48 @t14 @t57) (=> (tptp.c_Rings_Odvd__class_Odvd @t48 @t14 @t218) (tptp.c_Rings_Odvd__class_Odvd @t48 @t14 @t154)))) (=> (and (=> @t489 (= @t534 @t68)) (=> @t490 (= @t534 @t357))) (= @t485 @t154)))))))) % 1.00/1.25 (assume @p346 (forall @t69 (=> @t491 (= (tptp.c_Polynomial_Opoly__gcd @t42 @t57 @t49) @t537)))) % 1.00/1.25 (assume @p347 (forall @t454 (=> @t399 (= (tptp.c_Groups_Ominus__class_Ominus @t42 (tptp.hAPP @t122 @t479) (tptp.hAPP @t280 @t479)) (tptp.hAPP @t539 @t304))))) % 1.00/1.25 (assume @p348 (forall (@list @t41 @t128) (and (=> @t388 (= @t542 @t373)) (=> @t543 (= @t542 (tptp.hAPP @t214 (tptp.hAPP @t541 @t540))))))) % 1.00/1.25 (assume @p349 (forall @t81 (=> @t80 (= (tptp.c_Polynomial_Ocoeff @t71 @t79) @t544)))) % 1.00/1.25 (assume @p350 (forall (@list @t229) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t112 @t229))) % 1.00/1.25 (assume @p351 (forall @t547 (= @t546 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t257 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t545))))) % 1.00/1.25 (assume @p352 (forall @t547 (= @t546 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t257) @t545)))) % 1.00/1.25 (assume @p353 (forall (@list @t545 @t115 @t200) (=> (not (= @t200 @t494)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t115 @t545) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t549 (tptp.hAPP @t548 @t545)))))) % 1.00/1.25 (assume @p354 (forall @t238 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t229 @t128) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t229 @t108) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t229 @t550))))) % 1.00/1.25 (assume @p355 (forall @t167 (=> @t556 (=> @t276 (=> @t333 (= @t555 (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t554 @t552)) @t551))))))) % 1.00/1.25 (assume @p356 (forall @t369 (=> @t426 (= (tptp.c_Polynomial_Osmult @t42 @t557 @t41) (tptp.c_Groups_Ominus__class_Ominus @t48 @t377 @t368))))) % 1.00/1.25 (assume @p357 (forall @t559 (= @t558 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t343 @t229) @t342)))) % 1.00/1.25 (assume @p358 (forall @t107 (=> @t426 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t42 @t560) @t57) (tptp.c_Groups_Ominus__class_Ominus @t42 @t59 @t106))))) % 1.00/1.25 (assume @p359 (forall @t105 (=> @t433 (= (tptp.c_Groups_Ominus__class_Ominus @t48 @t46 @t104) (tptp.c_Polynomial_OpCons @t42 @t557 @t560))))) % 1.00/1.25 (assume @p360 (forall @t262 (=> @t442 (=> @t562 (= @t95 @t261))))) % 1.00/1.25 (assume @p361 (forall @t167 (=> @t564 (=> @t563 @t158)))) % 1.00/1.25 (assume @p362 (forall @t335 (=> @t566 (= (= @t565 (tptp.c_Rings_Oinverse__class_Oinverse @t71 @t94)) @t95)))) % 1.00/1.25 (assume @p363 (forall @t56 (=> @t564 @t567))) % 1.00/1.25 (assume @p364 (forall @t464 (=> @t433 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t560) @t108) (tptp.c_Groups_Ominus__class_Ominus @t42 @t431 @t463))))) % 1.00/1.25 (assume @p365 (forall @t467 (=> @t433 (= (tptp.c_Groups_Ominus__class_Ominus @t48 @t437 @t466) (tptp.c_Polynomial_Omonom @t42 @t557 @t108))))) % 1.00/1.25 (assume @p366 (forall @t167 (=> @t556 (=> @t563 (=> @t276 (=> @t333 @t158)))))) % 1.00/1.25 (assume @p367 (forall @t56 (=> @t556 (=> @t568 @t275)))) % 1.00/1.25 (assume @p368 (forall @t56 (=> @t556 (=> @t276 @t567)))) % 1.00/1.25 (assume @p369 (forall @t56 (=> @t556 (=> @t276 (not @t568))))) % 1.00/1.25 (assume @p370 (forall @t340 (=> @t566 (= (= @t565 @t76) @t78)))) % 1.00/1.25 (assume @p371 (forall @t70 (=> @t564 @t569))) % 1.00/1.25 (assume @p372 (forall @t70 (=> @t556 (= (tptp.c_Rings_Oinverse__class_Oinverse @t42 @t357) @t357)))) % 1.00/1.25 (assume @p373 (forall @t335 (=> @t445 (= @t570 @t95)))) % 1.00/1.25 (assume @p374 (forall @t335 (=> @t442 (= @t95 @t570)))) % 1.00/1.25 (assume @p375 (forall @t56 (=> @t447 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t45 @t45) @t68)))) % 1.00/1.25 (assume @p376 (forall @t56 (=> @t447 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t45 @t68) @t45)))) % 1.00/1.25 (assume @p377 (forall @t56 (=> @t564 @t571))) % 1.00/1.25 (assume @p378 (forall @t141 (=> @t564 @t572))) % 1.00/1.25 (assume @p379 (forall @t314 (=> @t298 (= (tptp.hAPP @t539 @t310) (tptp.c_Groups_Ominus__class_Ominus @t42 @t313 @t312))))) % 1.00/1.25 (assume @p380 (forall @t309 (=> @t298 (= (tptp.hAPP (tptp.hAPP @t60 (tptp.c_Groups_Ominus__class_Ominus @t42 @t45 @t306)) @t102) (tptp.c_Groups_Ominus__class_Ominus @t42 @t166 @t308))))) % 1.00/1.25 (assume @p381 (forall @t305 (=> @t298 (= (tptp.hAPP @t301 @t538) (tptp.c_Groups_Ominus__class_Ominus @t42 @t303 @t302))))) % 1.00/1.25 (assume @p382 (forall @t299 (=> @t298 (= (tptp.hAPP @t142 (tptp.c_Groups_Ominus__class_Ominus @t42 @t102 @t296)) (tptp.c_Groups_Ominus__class_Ominus @t42 @t166 @t297))))) % 1.00/1.25 (assume @p383 (forall @t167 (=> @t447 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t103 @t102) @t45)))) % 1.00/1.25 (assume @p384 (forall @t167 (=> @t447 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t557 @t102) @t45)))) % 1.00/1.25 (assume @p385 (forall @t167 (=> @t433 (= @t573 @t552)))) % 1.00/1.25 (assume @p386 (forall @t252 (=> @t399 (=> @t513 (=> (tptp.c_Rings_Odvd__class_Odvd @t42 @t57 @t226) (tptp.c_Rings_Odvd__class_Odvd @t42 @t57 (tptp.c_Groups_Ominus__class_Ominus @t42 @t218 @t226))))))) % 1.00/1.25 (assume @p387 (forall @t238 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t574 @t128) (tptp.hAPP @t574 @t108)) (=> (not (= @t229 @t494)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t128 @t108))))) % 1.00/1.25 (assume @p388 (forall @t225 (=> (= @t550 @t19) (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t128) @t19) @t440)))) % 1.00/1.25 (assume @p389 (forall @t197 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t128 @t128) @t19))) % 1.00/1.25 (assume @p390 (forall @t197 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t128 @t19) @t128))) % 1.00/1.25 (assume @p391 (forall @t161 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t19 @t108) @t19))) % 1.00/1.25 (assume @p392 (forall @t231 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t281 @t108) (tptp.c_Nat_OSuc @t229)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t550 @t229)))) % 1.00/1.25 (assume @p393 (forall @t225 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t281 @t139) @t550))) % 1.00/1.25 (assume @p394 (forall (@list @t113 @t200) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t200 @t234) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t200 @t113)))) % 1.00/1.25 (assume @p395 (forall (@list @t108 @t229 @t128) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t128 @t229) @t230) @t550))) % 1.00/1.25 (assume @p396 (forall @t238 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t229 @t128) @t575) @t550))) % 1.00/1.25 (assume @p397 (forall @t559 (= @t558 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t343 @t576)))) % 1.00/1.25 (assume @p398 (forall @t577 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t224 @t108) @t128))) % 1.00/1.25 (assume @p399 (forall @t225 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t130 @t108) @t128))) % 1.00/1.25 (assume @p400 (forall @t415 (= (tptp.hAPP @t407 @t578) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t413 @t411)))) % 1.00/1.25 (assume @p401 (forall @t423 (= (tptp.hAPP (tptp.hAPP @t398 @t578) @t406) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t422 @t421)))) % 1.00/1.25 (assume @p402 (forall @t238 (= (tptp.hAPP @t235 @t550) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t237 @t236)))) % 1.00/1.25 (assume @p403 (forall @t231 (= (tptp.hAPP (tptp.hAPP @t195 @t550) @t229) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t241 @t240)))) % 1.00/1.25 (assume @p404 (forall @t65 (=> @t433 (= (tptp.c_Groups_Ominus__class_Ominus @t48 @t41 @t49) @t41)))) % 1.00/1.25 (assume @p405 (forall @t579 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t115 @t373) @t375))) % 1.00/1.25 (assume @p406 (forall @t289 (=> @t426 (= (tptp.c_Polynomial_Osmult @t42 @t45 @t560) (tptp.c_Groups_Ominus__class_Ominus @t48 @t377 @t364))))) % 1.00/1.25 (assume @p407 (forall @t167 (=> @t556 (=> @t276 (=> @t333 (= @t580 (tptp.hAPP (tptp.hAPP @t60 @t551) @t553))))))) % 1.00/1.25 (assume @p408 (forall @t56 (=> @t556 (=> @t276 @t571)))) % 1.00/1.25 (assume @p409 (forall @t167 (=> @t556 (=> (= @t166 @t357) (= @t553 @t102))))) % 1.00/1.25 (assume @p410 (forall @t141 (=> @t556 (=> @t276 @t572)))) % 1.00/1.25 (assume @p411 (forall @t587 (=> @t586 (= @t585 (= @t582 @t257))))) % 1.00/1.25 (assume @p412 (forall @t587 (=> @t586 (= @t585 (= @t253 @t588))))) % 1.00/1.25 (assume @p413 (forall @t593 (=> @t298 (= @t592 (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.hAPP @t590 @t589) @t591) (tptp.hAPP @t142 @t589)))))) % 1.00/1.25 (assume @p414 (forall @t593 (=> @t450 (= @t592 (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.hAPP @t61 @t589) @t591))))) % 1.00/1.25 (assume @p415 (forall (@list @t545 @t594 @t257 @t71) (=> (and (tptp.class_Rings_Ocomm__ring @t71) @t533) (=> (tptp.c_Rings_Odvd__class_Odvd @t71 @t257 @t594) (forall (@list @t3 @t14) (= (tptp.c_Rings_Odvd__class_Odvd @t71 @t257 (tptp.c_Groups_Oplus__class_Oplus @t71 @t3 @t545)) (tptp.c_Rings_Odvd__class_Odvd @t71 @t257 (tptp.c_Groups_Oplus__class_Oplus @t71 (tptp.c_Groups_Ominus__class_Ominus @t71 @t3 (tptp.hAPP (tptp.hAPP @t254 @t14) @t594)) @t545)))))))) % 1.00/1.25 (assume @p416 (forall @t56 (=> @t447 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t68 @t45) @t425)))) % 1.00/1.25 (assume @p417 (forall @t454 (=> @t399 (= @t538 (tptp.c_Groups_Oplus__class_Oplus @t42 @t57 @t595))))) % 1.00/1.25 (assume @p418 (forall @t167 (=> @t447 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t45 @t448) @t103)))) % 1.00/1.25 (assume @p419 (forall @t167 (=> @t433 @t596))) % 1.00/1.25 (assume @p420 (forall @t167 (=> @t447 @t596))) % 1.00/1.25 (assume @p421 (forall (@list @t115 @t113 @t200) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t200 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t113 @t549)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t200 @t113)))) % 1.00/1.25 (assume @p422 (forall (@list @t253 @t545 @t162 @t257 @t77) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t77 @t257) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t77 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t162 @t545)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t77 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t162 (tptp.hAPP (tptp.hAPP @t398 @t253) @t257)) @t545)))))) % 1.00/1.25 (assume @p423 (forall @t579 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t115 @t112) @t118))) % 1.00/1.25 (assume @p424 (forall @t577 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t224) @t19))) % 1.00/1.25 (assume @p425 (forall @t208 (= @t598 (or @t201 @t597)))) % 1.00/1.25 (assume @p426 (forall (@list @t600 @t599 @t71) (= (tptp.hAPP @t601 @t19) @t599))) % 1.00/1.25 (assume @p427 (forall (@list @t216 @t600 @t599 @t71) (= (tptp.hAPP @t601 @t217) (tptp.hAPP @t600 @t216)))) % 1.00/1.25 (assume @p428 (forall @t161 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t139 @t373) @t108))) % 1.00/1.25 (assume @p429 (forall @t225 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t128 @t139) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t540 @t108)))) % 1.00/1.25 (assume @p430 (forall @t409 (= @t603 @t602))) % 1.00/1.25 (assume @p431 (forall @t409 (= @t602 @t603))) % 1.00/1.25 (assume @p432 (forall @t84 (=> @t433 (= (tptp.c_Groups_Ominus__class_Ominus @t48 @t49 @t83) (tptp.c_Groups_Ouminus__class_Ouminus @t48 @t83))))) % 1.00/1.25 (assume @p433 (forall @t167 (=> @t556 (=> @t276 (=> @t333 (= @t604 (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t554 @t103)) @t551))))))) % 1.00/1.25 (assume @p434 (forall @t56 (=> @t556 @t605))) % 1.00/1.25 (assume @p435 (forall @t56 (=> @t556 (=> @t276 (= (tptp.hAPP @t142 @t553) @t357))))) % 1.00/1.25 (assume @p436 (forall @t69 (=> @t469 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t606 @t357) (tptp.hAPP (tptp.hAPP @t60 (tptp.c_Groups_Oplus__class_Oplus @t42 @t57 @t357)) (tptp.c_Groups_Ominus__class_Ominus @t42 @t57 @t357)))))) % 1.00/1.25 (assume @p437 (forall @t387 (=> @t62 (= (tptp.c_Polynomial_Odegree @t42 @t384) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t373))))) % 1.00/1.25 (assume @p438 (forall @t225 (and (=> @t388 (= @t130 @t108)) (=> @t543 (= @t130 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t540 @t108))))))) % 1.00/1.25 (assume @p439 (forall @t225 (and (=> @t388 (= @t213 @t19)) (=> @t543 (= @t213 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 (tptp.hAPP (tptp.hAPP @t195 @t540) @t108))))))) % 1.00/1.25 (assume @p440 (forall (@list @t128 @t108 @t42) (=> @t144 (and (=> @t284 (= @t610 @t357)) (=> @t392 (= @t610 (tptp.hAPP @t609 (tptp.hAPP @t608 @t607)))))))) % 1.00/1.25 (assume @p441 (forall @t167 (=> @t556 (=> @t276 (=> @t333 (= @t555 (tptp.c_Groups_Ouminus__class_Ouminus @t42 (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t554 @t557)) @t551)))))))) % 1.00/1.25 (assume @p442 (forall @t56 (=> @t491 @t605))) % 1.00/1.25 (assume @p443 (forall @t167 (=> @t491 (=> @t276 (=> @t333 (= @t604 (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t265 @t553)) @t551))))))) % 1.00/1.25 (assume @p444 (forall @t612 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t160 @t45) @t108) (tptp.hAPP (tptp.hAPP @t160 @t102) @t108)) (=> @t392 @t611)))) % 1.00/1.25 (assume @p445 (forall @t613 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t57 @t57))) % 1.00/1.25 (assume @p446 (forall @t616 (= @t428 (and @t615 @t614)))) % 1.00/1.25 (assume @p447 (forall @t616 (= @t615 (or @t617 @t428)))) % 1.00/1.25 (assume @p448 (forall @t616 (= @t617 (and @t615 @t618)))) % 1.00/1.25 (assume @p449 (forall @t622 (=> @t621 (=> @t611 @t620)))) % 1.00/1.25 (assume @p450 (forall @t220 (=> @t219 @t623))) % 1.00/1.25 (assume @p451 (forall (@list @t162 @t269) (=> @t614 (= @t615 @t428)))) % 1.00/1.25 (assume @p452 (forall @t220 (=> @t623 (or @t625 @t219)))) % 1.00/1.25 (assume @p453 (forall @t622 (=> @t611 (=> @t621 @t620)))) % 1.00/1.25 (assume @p454 (forall @t628 (=> @t158 (=> @t627 @t626)))) % 1.00/1.25 (assume @p455 (forall @t628 (=> @t611 (=> @t319 @t626)))) % 1.00/1.25 (assume @p456 (forall @t225 (=> @t630 (=> @t629 @t440)))) % 1.00/1.25 (assume @p457 (forall @t220 (=> @t623 (=> @t624 @t219)))) % 1.00/1.25 (assume @p458 (forall @t228 (=> @t623 (=> @t632 @t631)))) % 1.00/1.25 (assume @p459 (forall @t628 (=> @t158 (=> (and @t627 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t157 @t102))) @t633)))) % 1.00/1.25 (assume @p460 (forall @t228 (=> @t623 @t635))) % 1.00/1.25 (assume @p461 (forall @t220 (=> @t625 @t636))) % 1.00/1.25 (assume @p462 (forall @t220 (=> @t625 (not (and @t624 (not @t623)))))) % 1.00/1.25 (assume @p463 (forall @t220 (=> @t625 @t623))) % 1.00/1.25 (assume @p464 (forall @t220 (=> @t625 (not (= @t218 @t57))))) % 1.00/1.25 (assume @p465 (forall @t628 (=> @t620 (=> @t319 @t633)))) % 1.00/1.25 (assume @p466 (forall @t228 (=> @t625 (=> @t632 @t634)))) % 1.00/1.25 (assume @p467 (forall @t622 (=> @t620 (not (and @t619 (not @t611)))))) % 1.00/1.25 (assume @p468 (forall @t228 (=> @t625 @t635))) % 1.00/1.25 (assume @p469 (forall @t238 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t229 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t128 @t108)) @t637))) % 1.00/1.25 (assume @p470 (forall @t613 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t57 @t19))) % 1.00/1.25 (assume @p471 (forall @t613 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t373 @t57))) % 1.00/1.25 (assume @p472 (forall @t638 (=> @t433 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t185 @t193) (tptp.c_Groups_Oplus__class_Oplus @t42 @t557 (tptp.c_Groups_Ominus__class_Ominus @t42 @t157 @t154)))))) % 1.00/1.25 (assume @p473 (forall @t70 (=> @t639 @t569))) % 1.00/1.25 (assume @p474 (forall @t167 (=> @t639 (= @t580 (tptp.hAPP @t554 @t551))))) % 1.00/1.25 (assume @p475 (forall @t318 (=> @t641 (= (= @t640 @t365) @t366)))) % 1.00/1.25 (assume @p476 (forall @t612 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t395 @t45) @t108) (tptp.hAPP (tptp.hAPP @t395 @t102) @t108)) (=> @t392 @t642)))) % 1.00/1.25 (assume @p477 (forall @t643 (=> @t148 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t395 @t77) @t113) (tptp.hAPP (tptp.hAPP @t395 @t94) @t113)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t77 @t94))))) % 1.00/1.25 (assume @p478 (forall @t643 (=> @t148 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t160 @t77) @t113) (tptp.hAPP (tptp.hAPP @t160 @t94) @t113)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t77 @t94))))) % 1.00/1.25 (assume @p479 (forall @t167 (=> @t433 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t425 @t448) @t573)))) % 1.00/1.25 (assume @p480 (forall @t647 (=> @t491 (and (=> @t487 (= @t485 @t537)) @t646)))) % 1.00/1.25 (assume @p481 (forall @t81 (=> @t80 (= @t79 (tptp.c_Polynomial_OAbs__poly @t71 @t544))))) % 1.00/1.25 (assume @p482 (forall @t649 (=> @t131 (=> @t648 (= (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t122 @t607)) @t57) @t400))))) % 1.00/1.25 (assume @p483 (forall @t161 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t19)))) % 1.00/1.25 (assume @p484 (forall @t225 (=> @t651 @t650))) % 1.00/1.25 (assume @p485 (forall @t161 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t139))) % 1.00/1.25 (assume @p486 (forall @t161 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t139))) % 1.00/1.25 (assume @p487 (forall @t522 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t327 (tptp.c_Groups_Oplus__class_Oplus @t71 @t94 @t253)) @t652)))) % 1.00/1.25 (assume @p488 (forall @t526 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t325 (tptp.c_Groups_Oplus__class_Oplus @t71 @t253 @t94)) @t652)))) % 1.00/1.25 (assume @p489 (forall @t192 (=> @t656 (=> @t655 @t654)))) % 1.00/1.25 (assume @p490 (forall @t192 (=> @t656 (=> @t655 @t657)))) % 1.00/1.25 (assume @p491 (forall @t194 (=> @t656 (=> @t655 (=> @t658 (tptp.c_Orderings_Oord__class_Oless @t42 @t185 @t193)))))) % 1.00/1.25 (assume @p492 (forall @t507 (=> @t659 (=> @t654 @t655)))) % 1.00/1.25 (assume @p493 (forall @t660 (=> @t659 (=> @t657 @t655)))) % 1.00/1.25 (assume @p494 (forall @t262 (=> @t661 (=> @t562 (= @t652 (tptp.c_Orderings_Oord__class_Oless @t71 @t253 @t257)))))) % 1.00/1.25 (assume @p495 (forall @t335 (=> @t661 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t77 @t443) (tptp.c_Orderings_Oord__class_Oless @t71 @t94 @t444))))) % 1.00/1.25 (assume @p496 (forall @t335 (=> @t661 (= @t662 (tptp.c_Orderings_Oord__class_Oless @t71 @t443 @t77))))) % 1.00/1.25 (assume @p497 (forall @t249 (=> @t661 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t443 @t444) @t652)))) % 1.00/1.25 (assume @p498 (forall @t664 (=> @t491 (= (tptp.c_Divides_Odiv__class_Omod @t48 @t663 @t218) (tptp.c_Polynomial_Osmult @t42 @t45 @t644))))) % 1.00/1.25 (assume @p499 (forall @t666 (= @t148 @t665))) % 1.00/1.25 (assume @p500 (forall @t225 (=> @t651 @t392))) % 1.00/1.25 (assume @p501 (forall @t161 (=> @t392 @t648))) % 1.00/1.25 (assume @p502 (forall @t121 (= (not @t669) @t668))) % 1.00/1.25 (assume @p503 (forall @t121 (= @t670 (or @t669 @t202)))) % 1.00/1.25 (assume @p504 (forall @t121 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t667 @t474) @t669))) % 1.00/1.25 (assume @p505 (forall @t672 (=> (not @t671) (= @t668 (= @t113 @t115))))) % 1.00/1.25 (assume @p506 (forall @t577 (=> (not @t673) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t281) @t440)))) % 1.00/1.25 (assume @p507 (forall @t225 (=> @t651 @t674))) % 1.00/1.25 (assume @p508 (forall @t225 (=> @t651 (=> (not (= @t281 @t108)) @t675)))) % 1.00/1.25 (assume @p509 (forall @t559 (=> @t678 (=> @t677 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t676 @t229))))) % 1.00/1.25 (assume @p510 (forall @t225 (=> @t674 (=> @t679 @t440)))) % 1.00/1.25 (assume @p511 (forall @t225 (=> @t675 @t651))) % 1.00/1.25 (assume @p512 (forall @t225 (=> @t650 @t651))) % 1.00/1.25 (assume @p513 (forall (@list @t342 @t343) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t344 @t343)))) % 1.00/1.25 (assume @p514 (forall (@list @t343 @t342) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t342 @t343) @t343)))) % 1.00/1.25 (assume @p515 (forall @t208 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t233 @t232) @t669))) % 1.00/1.25 (assume @p516 (forall @t680 (=> @t678 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t343 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t342 @t128))))) % 1.00/1.25 (assume @p517 (forall @t680 (=> @t678 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t343 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t128 @t342))))) % 1.00/1.25 (assume @p518 (forall @t559 (=> @t678 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t681 @t576)))) % 1.00/1.25 (assume @p519 (forall (@list @t682 @t229 @t342 @t343) (=> @t678 (=> @t683 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t681 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t342 @t682)))))) % 1.00/1.25 (assume @p520 (forall (@list @t108 @t128 @t682 @t229) (=> @t683 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t128 @t682) @t575) @t651)))) % 1.00/1.25 (assume @p521 (forall @t559 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t344 @t229) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t343 @t229)))) % 1.00/1.25 (assume @p522 (forall (@list @t108 @t229 @t342) (=> @t677 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t342 @t108) @t229)))) % 1.00/1.25 (assume @p523 (forall (@list @t682 @t108 @t128) (=> @t651 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t128 @t682) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t682 @t108) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t682 @t128)))))) % 1.00/1.25 (assume @p524 (forall @t454 (=> @t491 (= (tptp.c_Divides_Odiv__class_Omod @t48 @t497 @t218) (tptp.c_Groups_Ouminus__class_Ouminus @t48 @t644))))) % 1.00/1.25 (assume @p525 (forall @t454 (=> @t491 (= (tptp.c_Divides_Odiv__class_Omod @t48 @t57 @t498) @t644)))) % 1.00/1.25 (assume @p526 (forall (@list @t531 @t113 @t115) (=> (=> @t669 @t685) (=> (=> @t202 @t685) (=> (=> @t671 @t685) @t685))))) % 1.00/1.25 (assume @p527 (forall (@list @t686 @t687) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t687 @t686) (not (= @t687 @t686))))) % 1.00/1.25 (assume @p528 (forall @t577 (=> @t673 @t441))) % 1.00/1.25 (assume @p529 (forall @t161 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t108)))) % 1.00/1.25 (assume @p530 (forall @t220 (=> @t636 (=> (not @t688) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t218 @t57))))) % 1.00/1.25 (assume @p531 (forall @t121 (= (not @t202) (or @t669 @t671)))) % 1.00/1.25 (assume @p532 (forall @t454 (=> @t491 (=> @t690 (= @t644 @t57))))) % 1.00/1.25 (assume @p533 (forall @t454 (=> @t691 (=> @t636 (=> (not (tptp.c_Orderings_Oord__class_Oless @t42 @t57 @t218)) (tptp.c_Orderings_Oord__class_Oless @t42 @t218 @t57)))))) % 1.00/1.25 (assume @p534 (forall @t647 (=> @t491 (=> @t645 (or (= @t644 @t49) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t42 @t644) @t689)))))) % 1.00/1.25 (assume @p535 (forall @t697 (=> @t696 (=> @t695 (=> @t694 (tptp.c_Orderings_Oord__class_Oless @t42 @t127 @t693)))))) % 1.00/1.25 (assume @p536 (forall @t132 (=> @t696 (=> @t694 (=> (tptp.c_Orderings_Oord__class_Oless @t42 @t129 @t127) @t651))))) % 1.00/1.25 (assume @p537 (forall (@list @t269 @t162 @t94 @t71) (=> @t699 (=> (tptp.c_Orderings_Oord__class_Oless @t71 @t365 @t94) (= (tptp.c_Orderings_Oord__class_Oless @t71 (tptp.hAPP @t698 @t162) (tptp.hAPP @t698 @t269)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t162 @t269)))))) % 1.00/1.25 (assume @p538 (forall @t697 (=> @t696 (=> @t695 (=> @t701 (=> @t700 (tptp.c_Orderings_Oord__class_Oless @t42 @t693 @t127))))))) % 1.00/1.25 (assume @p539 (forall @t141 (=> @t696 (=> @t694 (=> @t648 (tptp.c_Orderings_Oord__class_Oless @t42 @t357 @t127)))))) % 1.00/1.25 (assume @p540 (forall @t318 (=> @t80 (= (tptp.c_Polynomial_OAbs__poly @t71 @t429) @t162)))) % 1.00/1.25 (assume @p541 (forall @t664 (=> @t491 (=> @t276 (= (tptp.c_Divides_Odiv__class_Omod @t48 @t57 @t702) @t644))))) % 1.00/1.25 (assume @p542 (forall @t322 (=> @t709 (=> @t708 (=> @t707 @t706))))) % 1.00/1.25 (assume @p543 (forall @t322 (=> @t709 (=> @t708 (=> @t707 @t710))))) % 1.00/1.25 (assume @p544 (forall @t192 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t42) @t712))) % 1.00/1.25 (assume @p545 (forall @t192 (=> @t713 @t712))) % 1.00/1.25 (assume @p546 (forall @t192 (=> @t713 (=> @t655 (=> @t711 @t710))))) % 1.00/1.25 (assume @p547 (forall @t167 (=> @t709 (=> @t716 (=> @t715 @t714))))) % 1.00/1.25 (assume @p548 (forall @t167 (=> @t713 (=> @t716 (=> @t718 @t717))))) % 1.00/1.25 (assume @p549 (forall @t526 (=> @t294 (=> @t721 (= @t720 @t719))))) % 1.00/1.25 (assume @p550 (forall @t723 (=> @t713 (=> (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t165) @t722)))) % 1.00/1.25 (assume @p551 (forall @t167 (=> @t713 (=> @t714 @t722)))) % 1.00/1.25 (assume @p552 (forall @t167 (=> @t713 (=> @t701 (=> @t715 (tptp.c_Orderings_Oord__class_Oless @t42 @t165 @t68)))))) % 1.00/1.25 (assume @p553 (forall @t167 (=> @t713 (=> @t701 (=> @t715 @t717))))) % 1.00/1.25 (assume @p554 (forall @t167 (=> @t713 (=> @t701 (=> @t718 @t714))))) % 1.00/1.25 (assume @p555 (forall @t526 (=> @t294 (=> @t724 (= @t720 @t652))))) % 1.00/1.25 (assume @p556 (forall @t526 (=> @t294 (= @t720 @t725)))) % 1.00/1.25 (assume @p557 (forall @t522 (=> @t294 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t260 @t256) @t725)))) % 1.00/1.25 (assume @p558 (forall @t56 (=> @t727 (not (tptp.c_Orderings_Oord__class_Oless @t42 @t726 @t68))))) % 1.00/1.25 (assume @p559 (forall @t167 (=> @t730 (=> @t716 @t729)))) % 1.00/1.25 (assume @p560 (forall @t192 (=> @t696 (=> @t701 @t732)))) % 1.00/1.25 (assume @p561 (forall @t167 (=> @t730 (=> @t701 @t734)))) % 1.00/1.25 (assume @p562 (forall @t340 (=> @t339 @t736))) % 1.00/1.25 (assume @p563 (forall @t340 (=> @t339 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t76 @t338) @t737)))) % 1.00/1.25 (assume @p564 (forall @t340 (=> @t738 @t736))) % 1.00/1.25 (assume @p565 (forall @t335 (=> @t661 (= @t652 (tptp.c_Orderings_Oord__class_Oless @t71 @t561 @t76))))) % 1.00/1.25 (assume @p566 (forall @t70 (=> @t696 (not (tptp.c_Orderings_Oord__class_Oless @t42 @t357 @t68))))) % 1.00/1.25 (assume @p567 (forall @t70 (=> @t696 (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t357)))) % 1.00/1.25 (assume @p568 (forall @t340 (=> @t661 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t76 @t444) @t735)))) % 1.00/1.25 (assume @p569 (forall @t340 (=> @t738 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t77 @t444) @t735)))) % 1.00/1.25 (assume @p570 (forall @t340 (=> @t661 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t444 @t76) @t737)))) % 1.00/1.25 (assume @p571 (forall @t340 (=> @t339 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t444 @t77) @t737)))) % 1.00/1.25 (assume @p572 (forall (@list @t108 @t128 @t42) (=> @t696 (=> (tptp.c_Orderings_Oord__class_Oless @t42 @t357 @t128) (=> (tptp.c_Orderings_Oord__class_Oless @t42 @t357 @t108) (tptp.c_Orderings_Oord__class_Oless @t42 @t357 (tptp.hAPP @t609 @t108))))))) % 1.00/1.25 (assume @p573 (forall @t141 (=> @t696 (=> @t701 (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t127))))) % 1.00/1.25 (assume @p574 (forall @t56 (=> @t696 (tptp.c_Orderings_Oord__class_Oless @t42 @t45 @t381)))) % 1.00/1.25 (assume @p575 (forall (@list @t113 @t115 @t77 @t71) (=> @t699 (=> (tptp.c_Orderings_Oord__class_Oless @t71 @t365 @t77) (= (= (tptp.hAPP @t150 @t115) @t151) @t202))))) % 1.00/1.25 (assume @p576 (forall @t167 (=> @t740 (=> @t739 (=> @t715 @t708))))) % 1.00/1.25 (assume @p577 (forall @t167 (=> @t740 (=> @t739 (=> @t701 @t708))))) % 1.00/1.25 (assume @p578 (forall @t56 (=> @t740 (=> @t741 (=> @t276 @t716))))) % 1.00/1.25 (assume @p579 (forall @t167 (=> @t740 (=> @t655 (=> @t715 @t742))))) % 1.00/1.25 (assume @p580 (forall @t167 (=> @t740 (=> @t655 (=> @t701 @t742))))) % 1.00/1.25 (assume @p581 (forall @t56 (=> @t740 (=> @t716 @t741)))) % 1.00/1.25 (assume @p582 (forall @t56 (=> @t740 (=> @t743 (=> @t276 @t701))))) % 1.00/1.25 (assume @p583 (forall @t56 (=> @t740 (=> @t701 @t743)))) % 1.00/1.25 (assume @p584 (forall @t340 (=> @t744 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t565 @t76) @t735)))) % 1.00/1.25 (assume @p585 (forall @t340 (=> @t744 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t76 @t565) @t737)))) % 1.00/1.25 (assume @p586 (forall @t121 (= @t670 (or @t116 (exists (@list @t745) (and (= @t115 (tptp.c_Nat_OSuc @t745)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t745 @t113))))))) % 1.00/1.25 (assume @p587 (forall @t666 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t113 @t112) @t117))) % 1.00/1.25 (assume @p588 (forall @t666 (= @t665 (exists (@list @t746) (= @t113 (tptp.c_Nat_OSuc @t746)))))) % 1.00/1.25 (assume @p589 (forall @t225 (=> @t747 (=> @t651 (not @t629))))) % 1.00/1.25 (assume @p590 (forall @t577 (=> @t648 (=> @t630 @t747)))) % 1.00/1.25 (assume @p591 (forall @t121 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t120) (or @t748 @t665)))) % 1.00/1.25 (assume @p592 (forall @t121 (= @t669 (exists @t535 (= @t113 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t115 @t14))))))) % 1.00/1.25 (assume @p593 (forall @t749 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t343 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t128 @t343))))) % 1.00/1.25 (assume @p594 (forall @t749 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t343 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t343 @t128))))) % 1.00/1.25 (assume @p595 (forall @t647 (=> @t491 @t646))) % 1.00/1.25 (assume @p596 (forall @t121 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t199) (and @t748 @t665)))) % 1.00/1.25 (assume @p597 (forall @t208 (= @t752 @t751))) % 1.00/1.25 (assume @p598 (forall @t212 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t211 @t210) @t751))) % 1.00/1.25 (assume @p599 (forall @t559 (=> @t678 (=> @t753 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t346 @t229) (tptp.hAPP @t345 @t229)))))) % 1.00/1.25 (assume @p600 (forall @t559 (=> @t678 (=> @t753 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t235 @t343) (tptp.hAPP @t235 @t342)))))) % 1.00/1.25 (assume @p601 (forall @t208 (=> @t750 (= @t207 @t202)))) % 1.00/1.25 (assume @p602 (forall @t208 (=> @t750 (= @t752 @t669)))) % 1.00/1.25 (assume @p603 (forall @t672 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 @t115)) @t669))) % 1.00/1.25 (assume @p604 (forall @t577 (=> @t648 (=> @t747 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t550 @t128))))) % 1.00/1.25 (assume @p605 (forall @t208 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t223 @t222) @t669))) % 1.00/1.25 (assume @p606 (forall @t225 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t550 @t281))) % 1.00/1.25 (assume @p607 (forall @t225 (=> @t679 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t550) @t128)))) % 1.00/1.25 (assume @p608 (forall (@list @t200 @t754 @t755) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t755 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t754 @t200)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t755 @t200) @t754)))) % 1.00/1.25 (assume @p609 (forall (@list @t108 @t128 @t343) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t343) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t756 @t128) (tptp.hAPP @t756 @t108)) @t651)))) % 1.00/1.25 (assume @p610 (forall @t759 (= @t758 (or @t757 @t117)))) % 1.00/1.25 (assume @p611 (forall @t763 (=> @t82 (=> @t762 (=> @t761 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t760 @t108)))))) % 1.00/1.25 (assume @p612 (forall @t91 (=> @t82 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t87) (= @t760 @t87))))) % 1.00/1.25 (assume @p613 (forall (@list @t41 @t83 @t42) (=> @t82 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t87 @t43) (= @t760 @t43))))) % 1.00/1.25 (assume @p614 (forall @t763 (=> @t433 (=> @t762 (=> @t761 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t42 @t560) @t108)))))) % 1.00/1.25 (assume @p615 (forall @t295 (=> @t294 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t76 @t293) (or (not @t291) @t764))))) % 1.00/1.25 (assume @p616 (forall @t454 (=> @t727 (not (tptp.c_Orderings_Oord__class_Oless @t42 @t765 @t68))))) % 1.00/1.25 (assume @p617 (forall @t70 (=> @t696 (tptp.c_Orderings_Oord__class_Oless @t42 @t68 @t380)))) % 1.00/1.25 (assume @p618 (forall @t587 (=> @t767 (= @t766 (tptp.c_Orderings_Oord__class_Oless @t71 @t253 @t588))))) % 1.00/1.25 (assume @p619 (forall @t587 (=> @t767 (= @t766 (tptp.c_Orderings_Oord__class_Oless @t71 @t582 @t257))))) % 1.00/1.25 (assume @p620 (forall @t141 (=> @t696 (=> @t694 (tptp.c_Orderings_Oord__class_Oless @t42 @t127 @t143))))) % 1.00/1.25 (assume @p621 (forall @t141 (=> @t696 (=> @t694 (tptp.c_Orderings_Oord__class_Oless @t42 @t357 @t143))))) % 1.00/1.25 (assume @p622 (forall @t318 (=> @t744 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t365 @t640) (and (tptp.c_Orderings_Oord__class_Oless @t71 @t76 @t162) (tptp.c_Orderings_Oord__class_Oless @t71 @t162 @t365)))))) % 1.00/1.25 (assume @p623 (forall @t56 (=> @t740 (=> @t701 (=> @t700 (tptp.c_Orderings_Oord__class_Oless @t42 @t357 @t553)))))) % 1.00/1.25 (assume @p624 (forall @t141 (=> @t696 (=> @t694 (tptp.c_Orderings_Oord__class_Oless @t42 @t357 @t140))))) % 1.00/1.25 (assume @p625 (forall @t577 (=> @t769 (=> @t768 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t112 @t213))))) % 1.00/1.25 (assume @p626 (forall @t577 (=> @t769 (=> @t768 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t317))))) % 1.00/1.25 (assume @p627 (forall @t577 (=> @t769 (=> @t768 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t213))))) % 1.00/1.25 (assume @p628 (forall (@list @t343 @t108) (=> @t648 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t676) @t108)))) % 1.00/1.25 (assume @p629 (forall @t161 (=> @t648 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t112)) @t108)))) % 1.00/1.25 (assume @p630 (forall @t238 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t237 @t236) (=> @t753 @t630)))) % 1.00/1.25 (assume @p631 (forall @t208 (=> @t750 (= @t598 @t597)))) % 1.00/1.25 (assume @p632 (forall @t777 (= @t776 (and (=> @t775 @t774) (forall @t773 (=> @t772 @t771)))))) % 1.00/1.25 (assume @p633 (forall @t777 (= @t776 (not (or (and @t775 (not @t774)) (exists @t773 (and @t772 (not @t771)))))))) % 1.00/1.25 (assume @p634 (forall @t434 (=> @t53 (=> @t762 (= @t431 @t68))))) % 1.00/1.25 (assume @p635 (forall @t141 (=> @t696 (=> @t701 (=> @t700 (tptp.c_Orderings_Oord__class_Oless @t42 @t143 @t127)))))) % 1.00/1.25 (assume @p636 (forall @t141 (=> @t696 (=> @t701 (=> @t700 (tptp.c_Orderings_Oord__class_Oless @t42 @t140 @t357)))))) % 1.00/1.25 (assume @p637 (forall @t649 (=> @t111 (=> (or @t648 (= @t57 @t357)) (tptp.c_Rings_Odvd__class_Odvd @t42 @t57 @t400))))) % 1.00/1.25 (assume @p638 (forall @t161 (=> @t648 (= @t108 @t778)))) % 1.00/1.25 (assume @p639 (forall @t161 (=> @t648 (= @t778 @t108)))) % 1.00/1.25 (assume @p640 (forall @t121 (=> @t748 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t199 @t115) @t374)))) % 1.00/1.25 (assume @p641 (forall @t121 (=> @t748 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t209 @t115) @t115) @t374)))) % 1.00/1.25 (assume @p642 (forall @t759 (= @t758 (or @t117 @t757)))) % 1.00/1.25 (assume @p643 (forall @t613 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t479) (or (= @t57 @t19) (= @t57 @t112))))) % 1.00/1.25 (assume @p644 (forall @t335 (=> @t779 (= @t519 (= (tptp.c_Divides_Odiv__class_Omod @t71 @t94 @t77) @t76))))) % 1.00/1.25 (assume @p645 (forall @t167 (=> @t780 (=> @t501 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t102 @t45) @t68))))) % 1.00/1.25 (assume @p646 (forall @t238 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t229 @t781) @t637))) % 1.00/1.25 (assume @p647 (forall (@list @t108 @t128 @t782) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t782 @t128) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t782 @t108) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t782 @t781))))) % 1.00/1.25 (assume @p648 (forall @t225 (and @t785 @t784))) % 1.00/1.25 (assume @p649 (forall (@list @t128 @t218 @t57) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t57 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t218 @t128)) @t128) @t786))) % 1.00/1.25 (assume @p650 (forall @t788 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t787 @t218) @t128) @t786))) % 1.00/1.25 (assume @p651 (forall @t225 @t784)) % 1.00/1.25 (assume @p652 (forall @t559 (=> @t789 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t343 @t229) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t342 @t229))))) % 1.00/1.25 (assume @p653 (forall @t197 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t128 @t112) @t19))) % 1.00/1.25 (assume @p654 (forall @t225 (and (=> @t792 (= @t791 @t19)) (=> (not @t792) (= @t791 @t790))))) % 1.00/1.25 (assume @p655 (forall @t793 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t115 @t257) @t19) (exists @t29 (= @t115 (tptp.hAPP (tptp.hAPP @t195 @t257) @t12)))))) % 1.00/1.25 (assume @p656 (forall @t793 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t115 @t257) @t494) (exists @t29 (= @t115 (tptp.hAPP (tptp.hAPP @t398 @t257) @t12)))))) % 1.00/1.25 (assume @p657 (forall @t795 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t794 @t108) @t783))) % 1.00/1.25 (assume @p658 (forall @t797 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t229 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t682)) @t494)) @t796))) % 1.00/1.25 (assume @p659 (forall @t797 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t229) @t682) @t494)) @t796))) % 1.00/1.25 (assume @p660 (forall @t622 (= @t801 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t799)))) % 1.00/1.25 (assume @p661 (forall @t622 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t798 @t800) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t802)))) % 1.00/1.25 (assume @p662 (forall (@list @t128 @t57) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t787) @t128) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t57) @t128)))) % 1.00/1.25 (assume @p663 (forall @t225 @t785)) % 1.00/1.25 (assume @p664 (forall @t225 (= @t791 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t790 @t108)))) % 1.00/1.25 (assume @p665 (forall @t628 (= @t808 @t806))) % 1.00/1.25 (assume @p666 (forall @t628 (= @t806 @t808))) % 1.00/1.25 (assume @p667 (forall @t788 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t395 @t787) @t218) @t128) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t397 @t128)))) % 1.00/1.25 (assume @p668 (forall @t238 (= (tptp.hAPP @t235 @t783) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t237 @t236)))) % 1.00/1.25 (assume @p669 (forall @t231 (= (tptp.hAPP (tptp.hAPP @t195 @t783) @t229) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t241 @t240)))) % 1.00/1.25 (assume @p670 (forall @t809 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t494 @t102) @t494))) % 1.00/1.25 (assume @p671 (forall @t810 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t45 @t45) @t494))) % 1.00/1.25 (assume @p672 (forall @t812 (=> @t811 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t802 @t102)))) % 1.00/1.25 (assume @p673 (forall @t577 (=> @t648 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t783 @t108)))) % 1.00/1.25 (assume @p674 (forall @t812 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t102 @t494) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t102 @t802)))) % 1.00/1.25 (assume @p675 (forall (@list @t269 @t113 @t162) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t162 @t113) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t269 @t113)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t113 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t162 @t269))))) % 1.00/1.25 (assume @p676 (forall @t795 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t794) @t108) @t791))) % 1.00/1.25 (assume @p677 (forall @t622 (and (=> @t813 (= @t801 @t494)) (=> @t814 (= @t801 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t802 @t102)))))) % 1.00/1.25 (assume @p678 (forall @t622 (and (=> @t813 (= @t799 @t494)) (=> @t814 (= @t799 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t102 @t802)))))) % 1.00/1.25 (assume @p679 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t494 @t403)) % 1.00/1.25 (assume @p680 (forall @t559 (=> @t789 (=> @t815 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t574 @t343) (tptp.hAPP @t574 @t342)))))) % 1.00/1.25 (assume @p681 (forall (@list @t268 @t270) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t270 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t268 @t403)) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t270 @t268) (= @t270 @t268))))) % 1.00/1.25 (assume @p682 (forall (@list @t532 @t200) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t200 @t532) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t200 @t532) @t494)))) % 1.00/1.25 (assume @p683 (forall @t225 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t494 @t128) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t128 @t108) (not @t816))))) % 1.00/1.25 (assume @p684 (forall (@list @t83 @t102 @t155 @t157) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t157) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t155 @t102) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t817 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t83 @t157)) @t155) @t818))))) % 1.00/1.25 (assume @p685 (forall @t824 (= (tptp.hBOOL (tptp.hAPP @t531 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t113 @t200))) (and (=> @t201 (tptp.hBOOL @t684)) (=> @t823 (forall @t822 (=> @t821 (=> @t820 (tptp.hBOOL (tptp.hAPP @t531 @t745)))))))))) % 1.00/1.25 (assume @p686 (forall (@list @t128 @t229) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t229) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t237) @t229) @t373)))) % 1.00/1.25 (assume @p687 (forall @t825 (= (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 @t403 @t268) @t268) @t494) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t268 @t494)))) % 1.00/1.25 (assume @p688 (forall @t121 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t494 @t115) (= (= @t826 @t403) (and (= @t115 @t403) (= @t113 @t403)))))) % 1.00/1.25 (assume @p689 (forall @t167 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t827 @t102) @t827)))) % 1.00/1.25 (assume @p690 (forall @t56 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t68 @t45) @t68)))) % 1.00/1.25 (assume @p691 (forall @t56 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t45 @t68) @t45)))) % 1.00/1.25 (assume @p692 (forall @t56 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t45 @t45) @t68)))) % 1.00/1.25 (assume @p693 (forall @t192 (=> @t780 (= @t829 (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.hAPP @t142 @t828) @t157))))) % 1.00/1.25 (assume @p694 (forall @t192 (=> @t780 (= @t829 @t832)))) % 1.00/1.25 (assume @p695 (forall @t192 (=> @t780 (= @t829 (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.hAPP @t831 @t828) @t157))))) % 1.00/1.25 (assume @p696 (forall @t660 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t705 @t704) (tptp.hAPP @t703 @t827))))) % 1.00/1.25 (assume @p697 (forall @t507 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t264 @t263) (tptp.hAPP (tptp.hAPP @t60 @t827) @t157))))) % 1.00/1.25 (assume @p698 (forall @t507 (=> @t780 (= @t832 @t829)))) % 1.00/1.25 (assume @p699 (forall @t835 (=> @t780 (=> @t834 (=> @t833 (= @t829 (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.hAPP @t307 @t296) @t157))))))) % 1.00/1.25 (assume @p700 (forall @t167 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t103 @t102) @t827)))) % 1.00/1.25 (assume @p701 (forall @t723 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t320 @t102) @t827)))) % 1.00/1.25 (assume @p702 (forall @t192 (=> @t780 (= @t837 @t836)))) % 1.00/1.25 (assume @p703 (forall @t192 (=> @t780 (= @t837 @t838)))) % 1.00/1.25 (assume @p704 (forall @t192 (=> @t780 (= @t837 (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.c_Groups_Oplus__class_Oplus @t42 @t830 @t828) @t157))))) % 1.00/1.25 (assume @p705 (forall @t192 (=> @t780 (= @t836 @t837)))) % 1.00/1.25 (assume @p706 (forall @t507 (=> @t780 (= @t838 @t837)))) % 1.00/1.25 (assume @p707 (forall @t835 (=> @t780 (=> @t834 (=> @t833 (= @t837 (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.c_Groups_Oplus__class_Oplus @t42 @t306 @t296) @t157))))))) % 1.00/1.25 (assume @p708 (forall @t835 (=> @t840 (=> @t834 (=> @t833 (= @t839 (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.c_Groups_Ominus__class_Ominus @t42 @t306 @t296) @t157))))))) % 1.00/1.25 (assume @p709 (forall @t192 (=> @t840 (= @t839 (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.c_Groups_Ominus__class_Ominus @t42 @t830 @t828) @t157))))) % 1.00/1.25 (assume @p710 (forall @t192 (=> @t840 (= @t839 (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.c_Groups_Ominus__class_Ominus @t42 @t830 @t102) @t157))))) % 1.00/1.25 (assume @p711 (forall @t192 (=> @t840 (= @t839 (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.c_Groups_Ominus__class_Ominus @t42 @t45 @t828) @t157))))) % 1.00/1.25 (assume @p712 (forall (@list @t306 @t102 @t45 @t42) (=> @t840 (=> (= @t827 (tptp.c_Divides_Odiv__class_Omod @t42 @t306 @t102)) (= @t841 (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t306) @t102)))))) % 1.00/1.25 (assume @p713 (forall @t167 (=> @t840 (= @t841 (tptp.c_Divides_Odiv__class_Omod @t42 (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t827) @t102))))) % 1.00/1.25 (assume @p714 (forall (@list @t115 @t113 @t200 @t71) (=> @t779 (=> (tptp.c_Rings_Odvd__class_Odvd @t71 @t200 @t113) (= (tptp.c_Rings_Odvd__class_Odvd @t71 @t200 (tptp.c_Divides_Odiv__class_Omod @t71 @t115 @t113)) (tptp.c_Rings_Odvd__class_Odvd @t71 @t200 @t115)))))) % 1.00/1.25 (assume @p715 (forall @t843 (=> @t780 (=> @t842 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t827 @t157) @t830))))) % 1.00/1.25 (assume @p716 (forall @t847 (=> @t780 (=> @t846 (=> @t845 @t844))))) % 1.00/1.25 (assume @p717 (forall @t847 (=> @t780 (=> @t844 (=> @t845 @t846))))) % 1.00/1.25 (assume @p718 (forall @t723 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t165 @t102) @t68)))) % 1.00/1.25 (assume @p719 (forall @t167 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t166 @t102) @t68)))) % 1.00/1.25 (assume @p720 (forall @t56 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t45 @t357) @t68)))) % 1.00/1.25 (assume @p721 (forall @t507 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t848 @t102) @t827)))) % 1.00/1.25 (assume @p722 (forall @t192 (=> @t780 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t849 @t102) @t827)))) % 1.00/1.25 (assume @p723 (forall (@list @t57 @t45 @t218 @t42) (=> @t491 (=> @t645 (= (tptp.c_Divides_Odiv__class_Omod @t48 @t852 @t218) (tptp.c_Groups_Ominus__class_Ominus @t48 @t851 (tptp.c_Polynomial_Osmult @t42 (tptp.c_Rings_Oinverse__class_Odivide @t42 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t851) @t689) @t850) @t218))))))) % 1.00/1.25 (assume @p724 (forall (@list @t853 @t92 @t269 @t162 @t71) (=> @t505 (= (tptp.c_Polynomial_Opdivmod__rel @t71 @t162 @t269 @t92 @t853) (and (= @t162 (tptp.c_Groups_Oplus__class_Oplus @t72 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes @t72) @t92) @t269) @t853)) (=> @t518 @t530) (=> (not @t518) (or @t854 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t71 @t853) (tptp.c_Polynomial_Odegree @t71 @t269))))))))) % 1.00/1.25 (assume @p725 (forall @t228 (=> @t688 @t855))) % 1.00/1.25 (assume @p726 (forall @t220 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t57 @t218) @t219 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t218 @t57)))) % 1.00/1.25 (assume @p727 (forall (@list @t853 @t92 @t269 @t71) (=> @t505 (= (tptp.c_Polynomial_Opdivmod__rel @t71 @t73 @t269 @t92 @t853) (and @t530 @t854))))) % 1.00/1.25 (assume @p728 (forall (@list @t853 @t92 @t162 @t71) (=> @t505 (= (tptp.c_Polynomial_Opdivmod__rel @t71 @t162 @t73 @t92 @t853) (and @t530 (= @t853 @t162)))))) % 1.00/1.25 (assume @p729 (forall @t337 (=> @t491 (tptp.c_Polynomial_Opdivmod__rel @t42 @t49 @t218 @t49 @t49)))) % 1.00/1.25 (assume @p730 (forall @t69 (=> @t491 (tptp.c_Polynomial_Opdivmod__rel @t42 @t57 @t49 @t49 @t57)))) % 1.00/1.25 (assume @p731 (forall (@list @t45 @t155 @t83 @t218 @t57 @t42) (=> @t491 (=> @t856 (tptp.c_Polynomial_Opdivmod__rel @t42 @t663 @t218 @t364 (tptp.c_Polynomial_Osmult @t42 @t45 @t155)))))) % 1.00/1.25 (assume @p732 (forall @t857 (=> @t491 (=> @t856 (= @t644 @t155))))) % 1.00/1.25 (assume @p733 (forall @t335 (=> @t744 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t76 @t860) (or (and @t737 @t859) (and @t735 @t858)))))) % 1.00/1.25 (assume @p734 (forall @t335 (=> @t744 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t860 @t76) (or (and @t737 @t858) (and @t735 @t859)))))) % 1.00/1.25 (assume @p735 (forall @t454 (=> @t740 (=> @t864 (=> @t863 @t862))))) % 1.00/1.25 (assume @p736 (forall @t454 (=> @t740 (=> @t864 (=> @t866 @t865))))) % 1.00/1.25 (assume @p737 (forall @t454 (=> @t740 (=> @t867 (=> @t863 @t865))))) % 1.00/1.25 (assume @p738 (forall @t454 (=> @t740 (=> @t867 (=> @t866 @t862))))) % 1.00/1.25 (assume @p739 (forall @t192 (=> @t740 (=> @t655 (=> @t711 @t870))))) % 1.00/1.25 (assume @p740 (forall @t322 (=> @t740 (=> @t708 (=> @t707 @t870))))) % 1.00/1.25 (assume @p741 (forall @t329 (=> @t641 (= @t875 (and (=> @t873 @t872) @t871))))) % 1.00/1.25 (assume @p742 (forall @t878 (=> @t641 (= @t877 (and (=> @t873 @t876) @t871))))) % 1.00/1.25 (assume @p743 (forall @t660 (=> @t639 (=> @t881 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t264 @t263) @t879))))) % 1.00/1.25 (assume @p744 (forall @t660 (=> @t639 (=> @t881 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t705 @t704) @t879))))) % 1.00/1.25 (assume @p745 (forall (@list @t270 @t162 @t268 @t269 @t71) (=> @t505 (=> @t764 (=> (not (= @t268 @t76)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t71 @t162 @t269) (tptp.c_Rings_Oinverse__class_Odivide @t71 @t270 @t268)) (= @t273 @t274))))))) % 1.00/1.25 (assume @p746 (forall @t526 (=> @t882 (=> @t873 (= @t875 @t872))))) % 1.00/1.25 (assume @p747 (forall @t883 (=> @t882 (=> @t873 (= @t877 @t876))))) % 1.00/1.25 (assume @p748 (forall @t843 (=> @t556 (=> @t881 (=> (= @t102 @t264) (= @t868 @t45)))))) % 1.00/1.25 (assume @p749 (forall @t660 (=> @t556 (=> @t881 (=> (= @t264 @t102) (= @t45 @t868)))))) % 1.00/1.25 (assume @p750 (forall @t249 (=> @t882 (=> (not @t334) (= (= @t860 @t365) @t95))))) % 1.00/1.25 (assume @p751 (forall @t56 (=> @t556 @t885))) % 1.00/1.25 (assume @p752 (forall @t56 (=> @t564 (and (=> @t275 (= @t884 @t68)) @t885)))) % 1.00/1.25 (assume @p753 (forall @t723 (=> @t556 (=> @t333 @t886)))) % 1.00/1.25 (assume @p754 (forall @t723 (=> @t556 (=> @t333 @t888)))) % 1.00/1.25 (assume @p755 (forall (@list @t108 @t45 @t102 @t42) (=> @t491 (=> @t333 @t889)))) % 1.00/1.25 (assume @p756 (forall @t141 (=> @t639 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t357 @t127) (tptp.hAPP (tptp.hAPP @t109 @t890) @t108))))) % 1.00/1.25 (assume @p757 (forall @t167 (=> @t639 (= (tptp.c_Rings_Oinverse__class_Oinverse @t42 @t879) (tptp.c_Rings_Oinverse__class_Odivide @t42 @t102 @t45))))) % 1.00/1.25 (assume @p758 (forall @t314 (=> @t893 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t538 @t310) (tptp.c_Groups_Ominus__class_Ominus @t42 @t892 @t891))))) % 1.00/1.25 (assume @p759 (forall @t192 (=> @t556 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t557 @t157) (tptp.c_Groups_Ominus__class_Ominus @t42 @t869 @t868))))) % 1.00/1.25 (assume @p760 (forall (@list @t406 @t226 @t218 @t57 @t42) (=> @t639 (= (tptp.hAPP (tptp.hAPP @t60 @t861) (tptp.c_Rings_Oinverse__class_Odivide @t42 @t226 @t406)) (tptp.c_Rings_Oinverse__class_Odivide @t42 @t250 (tptp.hAPP @t311 @t406)))))) % 1.00/1.25 (assume @p761 (forall @t167 (=> @t639 @t886))) % 1.00/1.25 (assume @p762 (forall @t167 (=> @t639 @t888))) % 1.00/1.25 (assume @p763 (forall @t56 (=> @t556 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t45 @t357) @t45)))) % 1.00/1.25 (assume @p764 (forall @t167 (=> @t556 (= @t887 (tptp.c_Rings_Oinverse__class_Odivide @t42 @t425 @t102))))) % 1.00/1.25 (assume @p765 (forall @t454 (=> @t893 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t453 @t218) (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t861))))) % 1.00/1.25 (assume @p766 (forall @t279 (=> @t639 @t889))) % 1.00/1.25 (assume @p767 (forall @t902 (=> @t491 (=> @t901 (=> @t900 (and @t899 @t896)))))) % 1.00/1.25 (assume @p768 (forall @t902 (=> @t491 (=> @t901 (=> @t900 @t896))))) % 1.00/1.25 (assume @p769 (forall @t902 (=> @t491 (=> @t901 (=> @t900 @t899))))) % 1.00/1.25 (assume @p770 (forall @t192 (=> @t556 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t103 @t157) (tptp.c_Groups_Oplus__class_Oplus @t42 @t869 @t868))))) % 1.00/1.25 (assume @p771 (forall @t314 (=> @t893 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t304 @t310) (tptp.c_Groups_Oplus__class_Oplus @t42 @t892 @t891))))) % 1.00/1.25 (assume @p772 (forall @t192 (=> @t556 (= (tptp.hAPP @t142 @t868) (tptp.c_Rings_Oinverse__class_Odivide @t42 @t166 @t157))))) % 1.00/1.25 (assume @p773 (forall @t56 (=> @t556 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t68 @t45) @t68)))) % 1.00/1.25 (assume @p774 (forall @t337 (=> @t893 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t68 @t218) @t68)))) % 1.00/1.25 (assume @p775 (forall @t56 (=> @t564 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t45 @t68) @t68)))) % 1.00/1.25 (assume @p776 (forall @t167 (=> @t556 @t903))) % 1.00/1.25 (assume @p777 (forall @t167 (=> @t491 @t903))) % 1.00/1.25 (assume @p778 (forall @t56 (=> @t556 @t904))) % 1.00/1.25 (assume @p779 (forall @t56 (=> @t491 @t904))) % 1.00/1.25 (assume @p780 (forall @t192 (=> @t740 (=> @t655 (=> @t707 @t905))))) % 1.00/1.25 (assume @p781 (forall @t322 (=> @t740 (=> @t708 (=> @t711 @t905))))) % 1.00/1.25 (assume @p782 (forall @t883 (=> @t908 (=> @t721 (= @t907 @t906))))) % 1.00/1.25 (assume @p783 (forall @t526 (=> @t908 (=> @t721 (= @t910 @t909))))) % 1.00/1.25 (assume @p784 (forall @t913 (=> @t740 (=> @t863 (=> (tptp.c_Orderings_Oord__class_Oless @t42 @t912 @t57) (tptp.c_Orderings_Oord__class_Oless @t42 @t226 @t861)))))) % 1.00/1.25 (assume @p785 (forall @t914 (=> @t740 (=> @t863 (=> (tptp.c_Orderings_Oord__class_Oless @t42 @t57 @t912) (tptp.c_Orderings_Oord__class_Oless @t42 @t861 @t226)))))) % 1.00/1.25 (assume @p786 (forall @t883 (=> @t908 (=> @t724 (= @t907 @t909))))) % 1.00/1.25 (assume @p787 (forall @t526 (=> @t908 (=> @t724 (= @t910 @t906))))) % 1.00/1.25 (assume @p788 (forall @t878 (=> @t744 (= @t907 (and (=> @t724 @t909) (=> @t916 (and (=> @t721 @t906) (=> @t915 @t737)))))))) % 1.00/1.25 (assume @p789 (forall @t329 (=> @t744 (= @t910 (and (=> @t724 @t906) (=> @t916 (and (=> @t721 @t909) (=> @t915 @t735)))))))) % 1.00/1.25 (assume @p790 (forall @t922 (=> @t491 (=> @t921 (=> @t920 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t861 @t919) (tptp.c_Rings_Oinverse__class_Odivide @t42 (tptp.c_Groups_Oplus__class_Oplus @t42 @t250 @t918) @t917))))))) % 1.00/1.25 (assume @p791 (forall @t925 (=> @t491 (=> @t920 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t924 @t218) (tptp.c_Rings_Oinverse__class_Odivide @t42 @t923 @t226)))))) % 1.00/1.25 (assume @p792 (forall @t914 (=> @t639 (=> @t921 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t861 @t226) @t926))))) % 1.00/1.25 (assume @p793 (forall @t925 (=> @t491 (=> @t920 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t57 @t928) (tptp.c_Rings_Oinverse__class_Odivide @t42 (tptp.c_Groups_Oplus__class_Oplus @t42 @t927 @t218) @t226)))))) % 1.00/1.25 (assume @p794 (forall @t913 (=> @t639 (=> @t921 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t226 @t861) @t926))))) % 1.00/1.25 (assume @p795 (forall @t922 (=> @t491 (=> @t921 (=> @t920 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t861 @t919) (tptp.c_Rings_Oinverse__class_Odivide @t42 (tptp.c_Groups_Ominus__class_Ominus @t42 @t250 @t918) @t917))))))) % 1.00/1.25 (assume @p796 (forall @t925 (=> @t491 (=> @t920 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t924 @t218) (tptp.c_Rings_Oinverse__class_Odivide @t42 (tptp.c_Groups_Ominus__class_Ominus @t42 @t57 @t912) @t226)))))) % 1.00/1.25 (assume @p797 (forall @t925 (=> @t491 (=> @t920 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t57 @t928) (tptp.c_Rings_Oinverse__class_Odivide @t42 (tptp.c_Groups_Ominus__class_Ominus @t42 @t927 @t218) @t226)))))) % 1.00/1.25 (assume @p798 (forall @t167 (=> @t740 (=> @t655 (tptp.c_Orderings_Oord__class_Oless @t42 @t45 @t929))))) % 1.00/1.25 (assume @p799 (forall @t167 (=> @t740 (=> @t655 (tptp.c_Orderings_Oord__class_Oless @t42 @t929 @t102))))) % 1.00/1.25 (assume @p800 (forall (@list @t401 @t154 @t157 @t102 @t45 @t42) (=> (tptp.class_RealVector_Oreal__field @t42) (= (tptp.c_Rings_Oinverse__class_Odivide @t42 (tptp.c_Groups_Ominus__class_Ominus @t42 @t166 @t930) @t401) (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.hAPP @t142 (tptp.c_Rings_Oinverse__class_Odivide @t42 (tptp.c_Groups_Ominus__class_Ominus @t42 @t102 @t154) @t401)) (tptp.hAPP (tptp.hAPP @t60 (tptp.c_Rings_Oinverse__class_Odivide @t42 (tptp.c_Groups_Ominus__class_Ominus @t42 @t45 @t157) @t401)) @t154)))))) % 1.00/1.25 (assume @p801 (forall @t56 (=> @t556 (=> @t276 @t904)))) % 1.00/1.25 (assume @p802 (forall (@list @t931 @t933 @t226 @t155 @t83 @t218 @t57 @t42) (=> @t491 (=> @t856 (=> (tptp.c_Polynomial_Opdivmod__rel @t42 @t83 @t226 @t933 @t931) (tptp.c_Polynomial_Opdivmod__rel @t42 @t57 @t934 @t933 (tptp.c_Groups_Oplus__class_Oplus @t48 (tptp.hAPP @t932 @t931) @t155))))))) % 1.00/1.25 (assume @p803 (forall (@list @t45 @t102 @t155 @t83 @t218 @t57 @t42) (=> @t491 (=> @t856 (=> @t645 (=> (= @t102 (tptp.c_Rings_Oinverse__class_Odivide @t42 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t42 @t935) @t689) @t850)) (tptp.c_Polynomial_Opdivmod__rel @t42 @t852 @t218 @t104 (tptp.c_Groups_Ominus__class_Ominus @t48 @t935 (tptp.c_Polynomial_Osmult @t42 @t102 @t218))))))))) % 1.00/1.25 (assume @p804 (forall (@list @t155 @t83 @t218 @t57 @t45 @t42) (=> @t491 (=> @t276 (=> @t856 (tptp.c_Polynomial_Opdivmod__rel @t42 @t57 @t702 (tptp.c_Polynomial_Osmult @t42 @t553 @t83) @t155)))))) % 1.00/1.25 (assume @p805 (forall (@list @t401 @t102 @t45 @t42) (=> @t893 (=> @t276 (=> @t333 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t555 @t401) (tptp.c_Groups_Ouminus__class_Ouminus @t42 (tptp.hAPP (tptp.hAPP @t60 (tptp.hAPP @t554 (tptp.c_Rings_Oinverse__class_Odivide @t42 @t557 @t401))) @t551)))))))) % 1.00/1.25 (assume @p806 (forall (@list @t218 @t226 @t57) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t57 @t226) @t855))) % 1.00/1.25 (assume @p807 (forall @t100 (=> @t738 (= @t936 (tptp.c_Orderings_Oord__class_Oless @t71 @t76 @t476))))) % 1.00/1.25 (assume @p808 (forall @t81 (=> @t738 (= (tptp.c_Polynomial_Opos__poly @t71 @t79) (or @t936 (and @t75 @t737)))))) % 1.00/1.25 (assume @p809 (forall @t70 (=> @t691 (not (tptp.c_Polynomial_Opos__poly @t42 @t49))))) % 1.00/1.25 (assume @p810 (forall @t91 (=> @t691 (=> @t938 (=> @t937 (tptp.c_Polynomial_Opos__poly @t42 @t101)))))) % 1.00/1.25 (assume @p811 (forall @t91 (=> @t691 (=> @t938 (=> @t937 (tptp.c_Polynomial_Opos__poly @t42 @t89)))))) % 1.00/1.25 (assume @p812 (forall @t295 (=> @t738 (= (tptp.c_Orderings_Oord__class_Oless @t72 @t162 @t269) (tptp.c_Polynomial_Opos__poly @t71 (tptp.c_Groups_Ominus__class_Ominus @t72 @t269 @t162)))))) % 1.00/1.25 (assume @p813 (forall @t65 (=> @t691 (or @t50 @t938 (tptp.c_Polynomial_Opos__poly @t42 @t432))))) % 1.00/1.25 (assume @p814 (forall (@list @t229 @t128) (=> @t747 (=> @t815 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t939 @t128) @t229) (tptp.hAPP @t939 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t128 @t112))))))) % 1.00/1.25 (assume @p815 (forall (@list @t226 @t57 @t154) (=> @t941 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t57 @t940) @t226)))) % 1.00/1.25 (assume @p816 (forall @t56 (=> @t780 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t68 @t45) @t68)))) % 1.00/1.25 (assume @p817 (forall @t56 (=> @t780 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t45 @t68) @t68)))) % 1.00/1.25 (assume @p818 (forall @t809 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t494 @t102) @t494))) % 1.00/1.25 (assume @p819 (forall @t622 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t798 @t800) @t942))) % 1.00/1.25 (assume @p820 (forall @t622 (= @t944 @t943))) % 1.00/1.25 (assume @p821 (forall @t56 (=> @t780 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t45 @t357) @t45)))) % 1.00/1.25 (assume @p822 (forall @t810 (=> (not (= @t45 @t494)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t45 @t45) @t403)))) % 1.00/1.25 (assume @p823 (forall (@list @t57 @t218) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t218 @t57) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t945) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t57) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t218)))))) % 1.00/1.25 (assume @p824 (forall @t329 (=> @t779 (=> @t519 (=> (tptp.c_Rings_Odvd__class_Odvd @t71 @t77 @t253) (= (tptp.c_Rings_Odvd__class_Odvd @t71 @t946 (tptp.c_Divides_Odiv__class_Odiv @t71 @t253 @t77)) (tptp.c_Rings_Odvd__class_Odvd @t71 @t94 @t253))))))) % 1.00/1.25 (assume @p825 (forall @t56 (=> @t740 (=> @t276 @t948)))) % 1.00/1.25 (assume @p826 (forall @t141 (=> @t691 (= (tptp.c_Groups_Oabs__class_Oabs @t42 @t468) @t949)))) % 1.00/1.25 (assume @p827 (forall @t622 (=> @t642 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t102 @t45) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t45) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t102)))))) % 1.00/1.25 (assume @p828 (forall @t56 (=> @t950 @t948))) % 1.00/1.25 (assume @p829 (forall @t167 (=> @t953 (= @t952 @t951)))) % 1.00/1.25 (assume @p830 (forall (@list @t229 @t682 @t42) (=> @t691 (=> (= (tptp.c_Groups_Oabs__class_Oabs @t42 @t682) @t954) (tptp.c_Rings_Odvd__class_Odvd @t42 @t682 @t229))))) % 1.00/1.25 (assume @p831 (forall @t956 (=> @t738 (= (tptp.c_Rings_Odvd__class_Odvd @t71 (tptp.c_Groups_Oabs__class_Oabs @t71 @t115) @t200) @t955)))) % 1.00/1.25 (assume @p832 (forall @t956 (=> @t738 (= (tptp.c_Rings_Odvd__class_Odvd @t71 @t115 (tptp.c_Groups_Oabs__class_Oabs @t71 @t200)) @t955)))) % 1.00/1.25 (assume @p833 (forall @t56 (=> @t953 (= (tptp.c_Groups_Oabs__class_Oabs @t42 @t947) @t947)))) % 1.00/1.25 (assume @p834 (forall @t141 (=> @t691 (= @t949 (tptp.hAPP (tptp.hAPP @t109 @t947) @t108))))) % 1.00/1.25 (assume @p835 (forall @t56 (=> @t953 (= (tptp.c_Groups_Oabs__class_Oabs @t42 @t425) @t947)))) % 1.00/1.25 (assume @p836 (forall @t70 (=> @t691 (= (tptp.c_Groups_Oabs__class_Oabs @t42 @t357) @t357)))) % 1.00/1.25 (assume @p837 (forall @t167 (=> @t953 (= (tptp.c_Groups_Oabs__class_Oabs @t42 @t958) @t958)))) % 1.00/1.25 (assume @p838 (forall @t167 (=> @t691 (= (tptp.c_Groups_Oabs__class_Oabs @t42 @t166) @t960)))) % 1.00/1.25 (assume @p839 (forall @t56 (=> @t691 (= (tptp.hAPP @t959 @t947) @t726)))) % 1.00/1.25 (assume @p840 (forall @t70 (=> @t953 (= (tptp.c_Groups_Oabs__class_Oabs @t42 @t68) @t68)))) % 1.00/1.25 (assume @p841 (forall @t340 (=> @t962 (= (= @t961 @t76) @t78)))) % 1.00/1.25 (assume @p842 (forall (@list @t108 @t57 @t218 @t42) (=> @t780 (=> @t964 (= (tptp.hAPP (tptp.hAPP @t109 @t963) @t108) (tptp.c_Divides_Odiv__class_Odiv @t42 @t400 @t512)))))) % 1.00/1.25 (assume @p843 (forall @t647 (=> @t840 (=> @t964 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t453 @t218) @t965))))) % 1.00/1.25 (assume @p844 (forall @t647 (=> @t840 (=> @t964 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t57 @t595) @t965))))) % 1.00/1.25 (assume @p845 (forall @t167 (=> @t780 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t827 @t102) @t68)))) % 1.00/1.25 (assume @p846 (forall @t925 (=> @t780 (=> (tptp.c_Rings_Odvd__class_Odvd @t42 @t226 @t57) (=> (tptp.c_Rings_Odvd__class_Odvd @t42 @t226 @t218) (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t304 @t226) (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.c_Divides_Odiv__class_Odiv @t42 @t57 @t226) (tptp.c_Divides_Odiv__class_Odiv @t42 @t218 @t226)))))))) % 1.00/1.25 (assume @p847 (forall @t167 (=> @t780 (=> @t501 (= (tptp.hAPP @t142 @t966) @t102))))) % 1.00/1.25 (assume @p848 (forall @t843 (=> @t780 (=> @t842 (= (tptp.hAPP @t142 (tptp.c_Divides_Odiv__class_Odiv @t42 @t102 @t157)) (tptp.c_Divides_Odiv__class_Odiv @t42 @t166 @t157)))))) % 1.00/1.25 (assume @p849 (forall @t167 (=> @t780 (=> @t501 (= (tptp.hAPP @t967 @t45) @t102))))) % 1.00/1.25 (assume @p850 (forall @t192 (=> @t780 (=> @t501 (= (tptp.hAPP @t967 @t157) (tptp.c_Divides_Odiv__class_Odiv @t42 @t263 @t45)))))) % 1.00/1.25 (assume @p851 (forall (@list @t406 @t226 @t57 @t218 @t42) (=> @t780 (=> @t964 (=> (tptp.c_Rings_Odvd__class_Odvd @t42 @t226 @t406) (= (tptp.hAPP (tptp.hAPP @t60 @t963) (tptp.c_Divides_Odiv__class_Odiv @t42 @t406 @t226)) (tptp.c_Divides_Odiv__class_Odiv @t42 (tptp.hAPP @t61 @t406) @t917))))))) % 1.00/1.25 (assume @p852 (forall @t56 (=> @t780 (=> @t276 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t45 @t45) @t357))))) % 1.00/1.25 (assume @p853 (forall @t660 (=> @t780 @t970))) % 1.00/1.25 (assume @p854 (forall @t660 (=> @t780 (=> @t881 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t264 @t263) @t968))))) % 1.00/1.25 (assume @p855 (forall @t723 (=> @t780 (=> @t333 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t165 @t102) @t45))))) % 1.00/1.25 (assume @p856 (forall @t723 (=> @t780 (=> @t333 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t166 @t102) @t45))))) % 1.00/1.25 (assume @p857 (forall @t660 (=> @t780 (and (=> @t880 (= @t969 @t68)) @t970)))) % 1.00/1.25 (assume @p858 (forall (@list @t162) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t162 @t403) (= @t971 @t403)))) % 1.00/1.25 (assume @p859 (forall @t577 (=> @t816 (= @t973 @t128)))) % 1.00/1.25 (assume @p860 (forall @t225 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t398 @t128) @t108)) @t403) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t128) @t403)))) % 1.00/1.25 (assume @p861 (forall @t167 (=> @t950 @t974))) % 1.00/1.25 (assume @p862 (forall @t723 (=> @t740 (=> @t333 @t974)))) % 1.00/1.25 (assume @p863 (forall @t335 (=> @t738 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t961 @t94) (and @t652 @t662))))) % 1.00/1.25 (assume @p864 (forall @t638 (=> @t691 (=> (tptp.c_Orderings_Oord__class_Oless @t42 @t947 @t157) (=> (tptp.c_Orderings_Oord__class_Oless @t42 @t957 @t154) (tptp.c_Orderings_Oord__class_Oless @t42 @t960 @t930)))))) % 1.00/1.25 (assume @p865 (forall @t56 (=> @t953 (=> @t701 @t975)))) % 1.00/1.25 (assume @p866 (forall @t340 (=> @t962 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t76 @t961) @t528)))) % 1.00/1.25 (assume @p867 (forall @t56 (=> @t953 (not (tptp.c_Orderings_Oord__class_Oless @t42 @t947 @t68))))) % 1.00/1.25 (assume @p868 (forall @t622 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t45 @t494) (=> @t811 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t942 @t494))))) % 1.00/1.25 (assume @p869 (forall @t977 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t94 @t494) (= @t976 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t494 @t77))))) % 1.00/1.25 (assume @p870 (forall @t977 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t494 @t94) (= @t976 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t77 @t494))))) % 1.00/1.25 (assume @p871 (forall @t622 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t802 @t102) @t494))) % 1.00/1.25 (assume @p872 (forall @t810 (and (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t45 @t494) @t494) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t45 @t494) @t45)))) % 1.00/1.26 (assume @p873 (forall @t628 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t45 @t102) @t157) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t45 @t157) @t978) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t45 @t157) @t803) @t157))))) % 1.00/1.26 (assume @p874 (forall @t56 (=> (tptp.class_Groups_Oabs__if @t42) (and @t979 (=> (not @t716) @t975))))) % 1.00/1.26 (assume @p875 (forall @t56 (=> @t953 @t979))) % 1.00/1.26 (assume @p876 (forall @t647 (=> @t950 (=> @t863 (= (tptp.c_Rings_Oinverse__class_Odivide @t42 @t980 @t218) (tptp.c_Groups_Oabs__class_Oabs @t42 @t861)))))) % 1.00/1.26 (assume @p877 (forall (@list @t229 @t57) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t494 @t57) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t403 @t229) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t57 @t229) @t57))))) % 1.00/1.26 (assume @p878 (forall @t984 (=> @t983 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t45 @t982) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t942 @t157))))) % 1.00/1.26 (assume @p879 (forall @t825 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t268) @t403) (= @t268 @t494)))) % 1.00/1.26 (assume @p880 (forall (@list @t343) (and (=> @t986 (= @t985 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t343))) (=> (not @t986) (= @t985 @t343))))) % 1.00/1.26 (assume @p881 (forall @t622 (= @t45 @t987))) % 1.00/1.26 (assume @p882 (forall @t628 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t807 @t157) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t804 @t978) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t805 @t157))))) % 1.00/1.26 (assume @p883 (forall (@list @t229 @t45 @t102) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t987 @t229) @t988))) % 1.00/1.26 (assume @p884 (forall (@list @t229 @t102 @t45) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t398 @t942) @t102) @t802) @t229) @t988))) % 1.00/1.26 (assume @p885 (forall @t577 (= @t973 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t128 @t781)))) % 1.00/1.26 (assume @p886 (forall @t225 (= @t781 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t128 (tptp.hAPP (tptp.hAPP @t398 @t972) @t108))))) % 1.00/1.26 (assume @p887 (forall @t322 (=> @t780 (=> @t333 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t848 @t102) @t989))))) % 1.00/1.26 (assume @p888 (forall @t322 (=> @t780 (=> @t333 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t849 @t102) @t989))))) % 1.00/1.26 (assume @p889 (forall @t723 (=> @t780 (=> @t333 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t320 @t102) @t990))))) % 1.00/1.26 (assume @p890 (forall @t723 (=> @t780 (=> @t333 (= (tptp.c_Divides_Odiv__class_Odiv @t42 @t103 @t102) @t990))))) % 1.00/1.26 (assume @p891 (forall @t329 (=> @t779 (=> @t528 (=> @t519 (= (= @t946 @t253) (= @t94 @t525))))))) % 1.00/1.26 (assume @p892 (forall (@list @t257 @t94 @t253 @t77 @t71) (=> @t779 (=> @t528 (=> @t873 (=> @t519 (=> (tptp.c_Rings_Odvd__class_Odvd @t71 @t253 @t257) (= (= @t946 (tptp.c_Divides_Odiv__class_Odiv @t71 @t257 @t253)) (= @t256 @t259))))))))) % 1.00/1.26 (assume @p893 (forall @t167 (=> @t780 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t827 @t991) @t45)))) % 1.00/1.26 (assume @p894 (forall @t723 (=> @t780 (= @t992 @t45)))) % 1.00/1.26 (assume @p895 (forall @t167 (=> @t780 (= @t993 @t45)))) % 1.00/1.26 (assume @p896 (forall @t322 (=> @t780 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t992 @t157) @t185)))) % 1.00/1.26 (assume @p897 (forall @t192 (=> @t780 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t993 @t157) @t185)))) % 1.00/1.26 (assume @p898 (forall @t121 (=> (not (= @t115 @t494)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t826 @t115) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t113) @t403))))) % 1.00/1.26 (assume @p899 (forall @t759 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t494 (tptp.hAPP (tptp.hAPP @t395 @t971) @t113)) (or (not (= @t162 @t494)) @t117)))) % 1.00/1.26 (assume @p900 (forall @t984 (=> @t983 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t45 @t982) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t981 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t942 @t157)) @t802))))) % 1.00/1.26 (assume @p901 (forall @t812 (=> @t996 (and (=> @t813 (= @t943 @t994)) (=> @t814 (= @t943 @t995)))))) % 1.00/1.26 (assume @p902 (forall @t812 (=> @t996 (and (=> @t813 (= @t944 @t994)) (=> @t814 (= @t944 @t995)))))) % 1.00/1.26 (assume @p903 (forall (@list @t57 @t226 @t154) (=> @t941 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t226 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t57 @t940))))) % 1.00/1.26 (assume @p904 (forall (@list @t853 @t77 @t162 @t71) (=> @t738 (= (tptp.c_Orderings_Oord__class_Oless @t71 (tptp.c_Groups_Oabs__class_Oabs @t71 (tptp.c_Groups_Ominus__class_Ominus @t71 @t162 @t77)) @t853) (and (tptp.c_Orderings_Oord__class_Oless @t71 (tptp.c_Groups_Ominus__class_Ominus @t71 @t77 @t853) @t162) (tptp.c_Orderings_Oord__class_Oless @t71 @t162 (tptp.c_Groups_Oplus__class_Oplus @t71 @t77 @t853))))))) % 1.00/1.26 (assume @p905 (forall @t69 (=> @t691 (and (=> @t488 (= @t997 @t49)) (=> (not @t488) (and (=> @t998 (= @t997 @t367)) (=> (not @t998) (= @t997 (tptp.c_Groups_Ouminus__class_Ouminus @t48 @t367))))))))) % 1.00/1.26 (assume @p906 (forall @t340 (=> @t738 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t76 @t999) @t737)))) % 1.00/1.26 (assume @p907 (forall @t340 (=> @t738 (= (tptp.c_Orderings_Oord__class_Oless @t71 @t999 @t76) @t735)))) % 1.00/1.26 (assume @p908 (forall @t454 (=> @t491 (tptp.c_Polynomial_Opdivmod__rel @t42 @t57 @t218 @t1000 @t644)))) % 1.00/1.26 (assume @p909 (forall @t628 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t45 @t818) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t1001 @t157)))) % 1.00/1.26 (assume @p910 (forall @t197 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t128 @t112) @t128))) % 1.00/1.26 (assume @p911 (forall @t238 (and (=> @t1005 (= @t1003 @t19)) (=> (not @t1005) @t1004)))) % 1.00/1.26 (assume @p912 (forall @t664 (=> @t491 (= (tptp.c_Divides_Odiv__class_Odiv @t48 @t663 @t218) (tptp.c_Polynomial_Osmult @t42 @t45 @t1000))))) % 1.00/1.26 (assume @p913 (forall (@list @t229 @t42) (=> @t691 (= @t954 (tptp.hAPP (tptp.hAPP @t60 @t229) (tptp.c_Groups_Osgn__class_Osgn @t42 @t229)))))) % 1.00/1.26 (assume @p914 (forall @t69 (=> @t691 (= (tptp.hAPP @t1007 @t980) @t57)))) % 1.00/1.26 (assume @p915 (forall @t454 (=> @t491 (= (tptp.c_Divides_Odiv__class_Odiv @t48 @t497 @t218) @t1008)))) % 1.00/1.26 (assume @p916 (forall @t454 (=> @t491 (= (tptp.c_Divides_Odiv__class_Odiv @t48 @t57 @t498) @t1008)))) % 1.00/1.26 (assume @p917 (forall @t252 (=> @t491 (= (tptp.c_Divides_Odiv__class_Odiv @t48 @t57 @t934) (tptp.c_Divides_Odiv__class_Odiv @t48 @t1000 @t226))))) % 1.00/1.26 (assume @p918 (forall @t857 (=> @t491 (=> @t856 (= @t1000 @t83))))) % 1.00/1.26 (assume @p919 (forall @t225 @t1009)) % 1.00/1.26 (assume @p920 (forall @t628 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t45 @t102) @t157) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1013 @t1012) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1011 @t1010) @t157))))) % 1.00/1.26 (assume @p921 (forall @t318 (=> (tptp.class_RealVector_Oreal__normed__vector @t71) (= (= (tptp.c_Groups_Osgn__class_Osgn @t71 @t162) @t76) @t291)))) % 1.00/1.26 (assume @p922 (forall @t340 (=> @t738 (= (= @t999 @t76) @t78)))) % 1.00/1.26 (assume @p923 (forall @t70 (=> @t1015 @t1014))) % 1.00/1.26 (assume @p924 (forall @t70 (=> @t1016 @t1014))) % 1.00/1.26 (assume @p925 (forall @t454 (=> (tptp.class_RealVector_Oreal__normed__div__algebra @t42) (= (tptp.c_Groups_Osgn__class_Osgn @t42 @t251) (tptp.hAPP @t1007 (tptp.c_Groups_Osgn__class_Osgn @t42 @t218)))))) % 1.00/1.26 (assume @p926 (forall @t167 (=> @t691 (= (tptp.c_Groups_Osgn__class_Osgn @t42 @t166) (tptp.hAPP (tptp.hAPP @t60 @t1017) (tptp.c_Groups_Osgn__class_Osgn @t42 @t102)))))) % 1.00/1.26 (assume @p927 (forall @t70 (=> (tptp.class_RealVector_Oreal__normed__algebra__1 @t42) (= (tptp.c_Groups_Osgn__class_Osgn @t42 @t357) @t357)))) % 1.00/1.26 (assume @p928 (forall @t69 (=> @t1015 (= (tptp.c_Groups_Osgn__class_Osgn @t42 @t453) (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t1006))))) % 1.00/1.26 (assume @p929 (forall @t56 (=> @t691 (= (tptp.c_Groups_Osgn__class_Osgn @t42 @t1017) @t1017)))) % 1.00/1.26 (assume @p930 (forall @t577 (=> @t648 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t317 @t108) @t128)))) % 1.00/1.26 (assume @p931 (forall @t577 (=> @t648 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t213 @t108) @t128)))) % 1.00/1.26 (assume @p932 (forall @t238 (=> @t753 @t1004))) % 1.00/1.26 (assume @p933 (forall @t577 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t108) (=> @t747 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1002 @t128))))) % 1.00/1.26 (assume @p934 (forall @t628 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1018 @t102) @t157) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t1018 @t1012) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1018 @t1010) @t157))))) % 1.00/1.26 (assume @p935 (forall @t628 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t45 @t818) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t817 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t1001 @t157)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t45 @t102))))) % 1.00/1.26 (assume @p936 (forall @t225 (= @t783 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t128 @t1019)))) % 1.00/1.26 (assume @p937 (forall @t577 (= (tptp.hAPP @t239 @t1002) @t1020))) % 1.00/1.26 (assume @p938 (forall @t225 (= @t1019 @t1020))) % 1.00/1.26 (assume @p939 (forall @t664 (=> @t491 (=> @t276 (= (tptp.c_Divides_Odiv__class_Odiv @t48 @t57 @t702) (tptp.c_Polynomial_Osmult @t42 @t553 @t1000)))))) % 1.00/1.26 (assume @p940 (forall @t454 (=> @t491 (=> @t690 (= @t1000 @t49))))) % 1.00/1.26 (assume @p941 (forall @t340 (=> @t738 (= (= @t999 @t365) @t737)))) % 1.00/1.26 (assume @p942 (forall @t56 (=> @t691 (=> @t701 (= @t1017 @t357))))) % 1.00/1.26 (assume @p943 (forall @t252 (=> @t491 (= (tptp.c_Divides_Odiv__class_Omod @t48 @t57 @t934) (tptp.c_Groups_Oplus__class_Oplus @t48 (tptp.hAPP @t932 (tptp.c_Divides_Odiv__class_Omod @t48 @t1000 @t226)) @t644))))) % 1.00/1.26 (assume @p944 (forall @t577 (=> @t648 @t1021))) % 1.00/1.26 (assume @p945 (forall @t577 (=> @t648 (and @t1009 @t1021)))) % 1.00/1.26 (assume @p946 (forall @t824 (= (tptp.hBOOL (tptp.hAPP @t531 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t113 @t200))) (and (=> @t201 @t774) (=> @t823 (forall @t822 (=> @t821 (=> @t820 (tptp.hBOOL @t1022))))))))) % 1.00/1.26 (assume @p947 (forall @t69 (=> @t691 (and (=> @t1024 (= @t1023 @t497)) (=> (not @t1024) (= @t1023 @t57)))))) % 1.00/1.26 (assume @p948 (forall (@list @t157 @t45) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t45) @t157) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1013 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t112 @t157)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1011 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t112 @t157)) @t157))))) % 1.00/1.26 (assume @p949 (forall @t69 (=> @t1016 (and (=> @t1025 (= @t1006 @t68)) (=> (not @t1025) (and (=> @t864 (= @t1006 @t357)) (=> (not @t864) (= @t1006 @t458)))))))) % 1.00/1.26 (assume @p950 (forall @t340 (=> @t738 (= (= @t999 @t459) @t735)))) % 1.00/1.26 (assume @p951 (forall @t56 (=> @t691 (=> @t716 (= @t1017 @t458))))) % 1.00/1.26 (assume @p952 (forall @t1029 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t494 @t200) (= @t1028 (forall @t822 (=> (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t494 @t745) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t745 @t200) @t1027) @t1026)))))) % 1.00/1.26 (assume @p953 (forall @t1029 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t200 @t494) (= @t1028 (forall @t822 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t200 @t745) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t745 @t494) @t1027) @t1026)))))) % 1.00/1.26 (assume @p954 (forall @t220 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t494 @t57) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t494 @t218) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t494 @t945))))) % 1.00/1.26 (assume @p955 (forall @t167 (=> @t953 (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t1030 @t951)))) % 1.00/1.26 (assume @p956 (forall @t167 (=> @t953 (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t1030 @t952)))) % 1.00/1.26 (assume @p957 (forall @t167 (=> @t953 (tptp.c_Orderings_Oord__class_Oless__eq @t42 (tptp.c_Groups_Oabs__class_Oabs @t42 @t1030) @t952)))) % 1.00/1.26 (assume @p958 (forall @t167 (=> @t953 (=> @t1032 @t1031)))) % 1.00/1.26 (assume @p959 (forall @t167 (=> @t953 (=> @t1033 (=> @t1031 @t1032))))) % 1.00/1.26 (assume @p960 (forall @t335 (=> @t962 (= (tptp.c_Orderings_Oord__class_Oless__eq @t71 @t961 @t94) (and @t1034 (tptp.c_Orderings_Oord__class_Oless__eq @t71 @t444 @t94)))))) % 1.00/1.26 (assume @p961 (forall @t56 (=> @t953 (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t425 @t947)))) % 1.00/1.26 (assume @p962 (forall @t167 (=> @t953 (tptp.c_Orderings_Oord__class_Oless__eq @t42 (tptp.c_Groups_Oabs__class_Oabs @t42 @t103) @t958)))) % 1.00/1.26 (assume @p963 (forall @t167 (=> @t953 (=> @t1032 @t1033)))) % 1.00/1.26 (assume @p964 (forall @t56 (=> @t953 (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t45 @t947)))) % 1.00/1.26 (assume @p965 (forall @t56 (=> @t953 (=> @t1035 @t975)))) % 1.00/1.26 (assume @p966 (forall @t340 (=> @t962 (= (tptp.c_Orderings_Oord__class_Oless__eq @t71 @t961 @t76) @t78)))) % 1.00/1.26 (assume @p967 (forall @t56 (=> @t953 (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t68 @t947)))) % 1.00/1.26 (assume @p968 (forall @t526 (=> @t294 (=> @t724 (= @t1036 @t1034))))) % 1.00/1.26 (assume @p969 (forall @t526 (=> @t294 (=> @t721 (= @t1036 (tptp.c_Orderings_Oord__class_Oless__eq @t71 @t94 @t77)))))) % 1.00/1.26 (assume @p970 (forall @t194 (=> @t713 (=> @t655 (=> @t658 (=> @t718 @t1039)))))) % 1.00/1.26 (assume @p971 (forall @t194 (=> @t713 (=> @t655 (=> @t658 (=> @t1035 @t1039)))))) % 1.00/1.26 (assume @p972 (forall @t194 (=> @t713 (=> @t655 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t157 @t154) (=> @t1035 (=> @t711 @t1037))))))) % 1.00/1.26 (assume @p973 (forall @t194 (=> @t713 (=> @t1033 (=> @t658 (=> @t701 @t1039)))))) % 1.00/1.26 (assume @p974 (forall @t507 (=> @t1042 @t1041))) % 1.00/1.26 (assume @p975 (forall @t507 (=> @t713 @t1041))) % 1.00/1.26 (assume @p976 (forall @t660 (=> @t1042 @t1043))) % 1.00/1.26 (assume @p977 (forall @t660 (=> @t713 @t1043))) % 1.00/1.26 (assume @p978 (forall @t507 (=> @t713 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t264 @t263) @t1044)))) % 1.00/1.26 (assume @p979 (forall @t660 (=> @t713 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t705 @t704) @t1044)))) % 1.00/1.26 (assume @p980 (forall @t167 (=> @t730 (=> @t701 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t68 @t102) @t733))))) % 1.00/1.26 (assume @p981 (forall @t167 (=> @t730 (=> @t1035 @t734)))) % 1.00/1.26 (assume @p982 (forall @t192 (=> @t730 (=> @t701 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t102 @t157) @t731))))) % 1.00/1.26 (assume @p983 (forall @t192 (=> @t730 (=> @t1035 @t732)))) % 1.00/1.26 (assume @p984 (forall @t167 (=> @t730 (=> @t716 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t102 @t68) @t728))))) % 1.00/1.26 (assume @p985 (forall @t167 (=> @t730 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t45 @t68) @t729)))) % 1.00/1.26 (assume @p986 (forall @t454 (=> @t727 (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t68 @t765)))) % 1.00/1.26 (assume @p987 (forall @t1047 (=> @t1046 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1045)))) % 1.00/1.26 (assume @p988 (forall @t1047 (=> @t1046 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1045)))) % 1.00/1.26 (assume @p989 (forall @t1047 (=> @t1046 (tptp.class_Rings_Oring__1__no__zero__divisors @t1045)))) % 1.00/1.26 (assume @p990 (forall @t1047 (=> @t1046 (tptp.class_Rings_Oring__no__zero__divisors @t1045)))) % 1.00/1.26 (assume @p991 (forall @t1047 (=> @t1046 (tptp.class_Groups_Ocancel__semigroup__add @t1045)))) % 1.00/1.26 (assume @p992 (forall @t1047 (=> @t1046 (tptp.class_Groups_Oab__semigroup__mult @t1045)))) % 1.00/1.26 (assume @p993 (forall @t1047 (=> @t1046 (tptp.class_Groups_Ocomm__monoid__mult @t1045)))) % 1.00/1.26 (assume @p994 (forall @t1047 (=> @t1046 (tptp.class_Groups_Oab__semigroup__add @t1045)))) % 1.00/1.26 (assume @p995 (forall @t1047 (=> @t1046 (tptp.class_Rings_Ono__zero__divisors @t1045)))) % 1.00/1.26 (assume @p996 (forall @t1047 (=> @t1046 (tptp.class_Groups_Ocomm__monoid__add @t1045)))) % 1.00/1.26 (assume @p997 (forall @t1047 (=> @t1046 (tptp.class_Rings_Ocomm__semiring__1 @t1045)))) % 1.00/1.26 (assume @p998 (forall @t1047 (=> @t1046 (tptp.class_Rings_Ocomm__semiring__0 @t1045)))) % 1.00/1.26 (assume @p999 (forall @t1047 (=> @t1046 (tptp.class_Rings_Ocomm__semiring @t1045)))) % 1.00/1.26 (assume @p1000 (forall @t1047 (=> @t1046 (tptp.class_Groups_Oab__group__add @t1045)))) % 1.00/1.26 (assume @p1001 (forall @t1047 (=> @t1046 (tptp.class_Rings_Ozero__neq__one @t1045)))) % 1.00/1.26 (assume @p1002 (forall @t1047 (=> @t1046 (tptp.class_Groups_Omonoid__mult @t1045)))) % 1.00/1.26 (assume @p1003 (forall @t1047 (=> @t1046 (tptp.class_Rings_Ocomm__ring__1 @t1045)))) % 1.00/1.26 (assume @p1004 (forall @t1047 (=> @t1046 (tptp.class_Groups_Omonoid__add @t1045)))) % 1.00/1.26 (assume @p1005 (forall @t1047 (=> @t1046 (tptp.class_Rings_Osemiring__0 @t1045)))) % 1.00/1.26 (assume @p1006 (forall @t1047 (=> @t1046 (tptp.class_Groups_Ogroup__add @t1045)))) % 1.00/1.26 (assume @p1007 (forall @t1047 (=> @t1046 (tptp.class_Rings_Omult__zero @t1045)))) % 1.00/1.26 (assume @p1008 (forall @t1047 (=> @t1046 (tptp.class_Rings_Ocomm__ring @t1045)))) % 1.00/1.26 (assume @p1009 (forall @t1047 (=> @t1046 (tptp.class_Rings_Osemiring @t1045)))) % 1.00/1.26 (assume @p1010 (forall @t1047 (=> @t1046 (tptp.class_Rings_Oring__1 @t1045)))) % 1.00/1.26 (assume @p1011 (forall @t1047 (=> @t1046 (tptp.class_Power_Opower @t1045)))) % 1.00/1.26 (assume @p1012 (forall @t1047 (=> @t1046 (tptp.class_Groups_Ozero @t1045)))) % 1.00/1.26 (assume @p1013 (forall @t1047 (=> @t1046 (tptp.class_Rings_Oring @t1045)))) % 1.00/1.26 (assume @p1014 (forall @t1047 (=> @t1046 (tptp.class_Groups_Oone @t1045)))) % 1.00/1.26 (assume @p1015 (forall @t1047 (=> @t1046 (tptp.class_Rings_Odvd @t1045)))) % 1.00/1.26 (assume @p1016 (forall @t1047 (=> @t1046 (tptp.class_Groups_Ocancel__comm__monoid__add @t1045)))) % 1.00/1.26 (assume @p1017 (forall @t1051 (=> @t1050 (tptp.class_Groups_Ocancel__comm__monoid__add @t1049)))) % 1.00/1.26 (assume @p1018 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1019 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1020 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1021 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1022 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1023 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1024 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1025 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1026 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1027 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1028 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1029 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1030 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1031 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1032 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1033 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1034 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1035 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1036 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1037 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1038 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1039 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1040 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1041 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1042 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1043 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1044 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1045 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1046 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1047 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1048 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1049 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1050 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1051 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1052 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1053 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1054 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1055 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1056 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1057 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1058 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1059 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1060 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1061 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1062 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1063 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1064 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1065 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1066 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1067 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1068 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.00/1.26 (assume @p1069 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1070 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1071 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1072 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1073 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1074 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1075 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1076 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1077 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1078 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1079 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1080 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1081 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1082 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1083 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1084 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1085 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1086 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1087 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1088 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1089 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1090 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1091 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1092 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1093 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1094 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1095 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1096 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1097 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.00/1.26 (assume @p1098 (forall @t1051 (=> @t1052 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1049)))) % 1.00/1.26 (assume @p1099 (forall @t1051 (=> @t1053 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1049)))) % 1.00/1.26 (assume @p1100 (forall @t1051 (=> @t1053 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1049)))) % 1.00/1.26 (assume @p1101 (forall @t1051 (=> @t1053 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1049)))) % 1.00/1.26 (assume @p1102 (forall @t1051 (=> @t1053 (tptp.class_Rings_Olinordered__semiring__strict @t1049)))) % 1.00/1.26 (assume @p1103 (forall @t1051 (=> @t1053 (tptp.class_Groups_Oordered__ab__group__add__abs @t1049)))) % 1.00/1.26 (assume @p1104 (forall @t1051 (=> @t1053 (tptp.class_Groups_Oordered__comm__monoid__add @t1049)))) % 1.00/1.26 (assume @p1105 (forall @t1051 (=> @t1053 (tptp.class_Groups_Olinordered__ab__group__add @t1049)))) % 1.00/1.26 (assume @p1106 (forall @t1051 (=> @t1050 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1049)))) % 1.00/1.26 (assume @p1107 (forall @t1051 (=> @t1052 (tptp.class_Rings_Oring__1__no__zero__divisors @t1049)))) % 1.00/1.26 (assume @p1108 (forall @t1051 (=> @t1053 (tptp.class_Rings_Olinordered__ring__strict @t1049)))) % 1.00/1.26 (assume @p1109 (forall @t1051 (=> @t1052 (tptp.class_Rings_Oring__no__zero__divisors @t1049)))) % 1.00/1.26 (assume @p1110 (forall @t1051 (=> @t1053 (tptp.class_Groups_Oordered__ab__group__add @t1049)))) % 1.00/1.26 (assume @p1111 (forall @t1051 (=> @t1050 (tptp.class_Groups_Ocancel__semigroup__add @t1049)))) % 1.00/1.26 (assume @p1112 (forall @t1051 (=> @t1053 (tptp.class_Rings_Olinordered__semiring @t1049)))) % 1.00/1.26 (assume @p1113 (forall @t1051 (=> @t1053 (tptp.class_Rings_Olinordered__semidom @t1049)))) % 1.00/1.26 (assume @p1114 (forall @t1051 (=> @t1054 (tptp.class_Groups_Oab__semigroup__mult @t1049)))) % 1.00/1.26 (assume @p1115 (forall @t1051 (=> @t1055 (tptp.class_Groups_Ocomm__monoid__mult @t1049)))) % 1.00/1.26 (assume @p1116 (forall @t1051 (=> @t1056 (tptp.class_Groups_Oab__semigroup__add @t1049)))) % 1.00/1.26 (assume @p1117 (forall @t1051 (=> @t1052 (tptp.class_Rings_Ono__zero__divisors @t1049)))) % 1.00/1.26 (assume @p1118 (forall @t1051 (=> @t1056 (tptp.class_Groups_Ocomm__monoid__add @t1049)))) % 1.00/1.26 (assume @p1119 (forall @t1051 (=> @t1053 (tptp.class_Rings_Olinordered__ring @t1049)))) % 1.00/1.26 (assume @p1120 (forall @t1051 (=> @t1053 (tptp.class_Rings_Olinordered__idom @t1049)))) % 1.00/1.26 (assume @p1121 (forall @t1051 (=> @t1055 (tptp.class_Rings_Ocomm__semiring__1 @t1049)))) % 1.00/1.26 (assume @p1122 (forall @t1051 (=> @t1054 (tptp.class_Rings_Ocomm__semiring__0 @t1049)))) % 1.00/1.26 (assume @p1123 (forall @t1051 (=> @t1057 (tptp.class_Divides_Osemiring__div @t1049)))) % 1.00/1.26 (assume @p1124 (forall @t1051 (=> @t1054 (tptp.class_Rings_Ocomm__semiring @t1049)))) % 1.00/1.26 (assume @p1125 (forall @t1051 (=> @t1058 (tptp.class_Groups_Oab__group__add @t1049)))) % 1.00/1.26 (assume @p1126 (forall @t1051 (=> @t1055 (tptp.class_Rings_Ozero__neq__one @t1049)))) % 1.00/1.26 (assume @p1127 (forall @t1051 (=> @t1053 (tptp.class_Rings_Oordered__ring @t1049)))) % 1.00/1.26 (assume @p1128 (forall @t1051 (=> @t1055 (tptp.class_Groups_Omonoid__mult @t1049)))) % 1.00/1.26 (assume @p1129 (forall @t1051 (=> @t1059 (tptp.class_Rings_Ocomm__ring__1 @t1049)))) % 1.00/1.26 (assume @p1130 (forall @t1051 (=> @t1056 (tptp.class_Groups_Omonoid__add @t1049)))) % 1.00/1.26 (assume @p1131 (forall @t1051 (=> @t1054 (tptp.class_Rings_Osemiring__0 @t1049)))) % 1.00/1.26 (assume @p1132 (forall @t1051 (=> @t1058 (tptp.class_Groups_Ogroup__add @t1049)))) % 1.00/1.26 (assume @p1133 (forall @t1051 (=> @t1057 (tptp.class_Divides_Oring__div @t1049)))) % 1.00/1.26 (assume @p1134 (forall @t1051 (=> @t1054 (tptp.class_Rings_Omult__zero @t1049)))) % 1.00/1.26 (assume @p1135 (forall @t1051 (=> @t1060 (tptp.class_Rings_Ocomm__ring @t1049)))) % 1.00/1.26 (assume @p1136 (forall @t1051 (=> @t1053 (tptp.class_Int_Oring__char__0 @t1049)))) % 1.00/1.26 (assume @p1137 (forall @t1051 (=> @t1054 (tptp.class_Rings_Osemiring @t1049)))) % 1.00/1.26 (assume @p1138 (forall @t1051 (=> @t1053 (tptp.class_Groups_Osgn__if @t1049)))) % 1.00/1.26 (assume @p1139 (forall @t1051 (=> @t1053 (tptp.class_Groups_Oabs__if @t1049)))) % 1.00/1.26 (assume @p1140 (forall @t1051 (=> @t1059 (tptp.class_Rings_Oring__1 @t1049)))) % 1.00/1.26 (assume @p1141 (forall @t1051 (=> @t1055 (tptp.class_Power_Opower @t1049)))) % 1.00/1.26 (assume @p1142 (forall @t1051 (=> (tptp.class_Groups_Ozero @t1048) (tptp.class_Groups_Ozero @t1049)))) % 1.00/1.26 (assume @p1143 (forall @t1051 (=> @t1060 (tptp.class_Rings_Oring @t1049)))) % 1.00/1.26 (assume @p1144 (forall @t1051 (=> @t1052 (tptp.class_Rings_Oidom @t1049)))) % 1.00/1.26 (assume @p1145 (forall @t1051 (=> @t1055 (tptp.class_Groups_Oone @t1049)))) % 1.00/1.26 (assume @p1146 (forall @t1051 (=> @t1055 (tptp.class_Rings_Odvd @t1049)))) % 1.00/1.26 (assume @p1147 (forall @t616 (or (not @t1061) @t428))) % 1.00/1.26 (assume @p1148 (forall @t616 (or @t618 @t1061))) % 1.00/1.26 (assume @p1149 (not (tptp.hBOOL tptp.c_fFalse))) % 1.00/1.26 (assume @p1150 (tptp.hBOOL tptp.c_fTrue)) % 1.00/1.26 (assume @p1151 @t1062) % 1.00/1.26 (assume @p1152 @t11) % 1.00/1.26 (assume @p1153 true) % 1.00/1.26 (step @p1154 :rule bool-double-not-elim :args (@t1069)) % 1.00/1.26 (step @p1155 :rule refl :args (@t1064)) % 1.00/1.26 (step @p1156 :rule eq-symm :args (@t1065 @t18)) % 1.00/1.26 (step @p1157 :rule cong :premises (@p1156) :args (@t1070)) % 1.00/1.26 (step @p1158 :rule refl :args (@t24)) % 1.00/1.26 (step @p1159 :rule nary_cong :premises (@p1158 @p1157) :args (@t1071)) % 1.00/1.26 (step @p1160 :rule refl :args (@t1066)) % 1.00/1.26 (step @p1161 :rule refl :args (@t1067)) % 1.00/1.26 (step @p1162 :rule nary_cong :premises (@p1161 @p1160 @p1159 @p1155) :args (@t1072)) % 1.00/1.26 (step @p1163 :rule aci_norm :args ((= @t1074 @t1072))) % 1.00/1.26 (step @p1164 :rule trans :premises (@p1163 @p1162)) % 1.00/1.26 (step @p1165 :rule cong :premises (@p1164) :args (@t1075)) % 1.00/1.26 (step @p1166 :rule quant-merge-prenex :args ((= (forall @t33 @t1077) @t1075))) % 1.00/1.26 (step @p1167 :rule alpha_equiv :args (@t1078 (@list @t1063) (@list @t12))) % 1.00/1.26 (step @p1168 :rule refl :args (@t1067)) % 1.00/1.26 (step @p1169 :rule nary_cong :premises (@p1168 @p1167) :args (@t1079)) % 1.00/1.26 (step @p1170 :rule quant-miniscope-or :args ((= @t1077 @t1079))) % 1.00/1.26 (step @p1171 :rule trans :premises (@p1170 @p1169)) % 1.00/1.26 (step @p1172 :rule symm :premises (@p1171)) % 1.00/1.26 (step @p1173 :rule cong :premises (@p1172) :args ((forall @t33 (or @t1067 @t1082)))) % 1.00/1.26 (step @p1174 :rule trans :premises (@p1173 @p1166)) % 1.00/1.26 (step @p1175 :rule trans :premises (@p1174 @p1165)) % 1.00/1.26 (step @p1176 :rule bool-double-not-elim :args (@t1082)) % 1.00/1.26 (step @p1177 :rule bool-double-not-elim :args (@t1067)) % 1.00/1.26 (step @p1178 :rule nary_cong :premises (@p1177 @p1176) :args ((or (not @t1084) (not @t1083)))) % 1.00/1.26 (step @p1179 :rule bool-and-de-morgan :args (@t1084 @t1083 true)) % 1.00/1.26 (step @p1180 :rule trans :premises (@p1179 @p1178)) % 1.00/1.26 (step @p1181 :rule cong :premises (@p1180) :args (@t1086)) % 1.00/1.26 (step @p1182 :rule trans :premises (@p1181 @p1175)) % 1.00/1.26 (step @p1183 :rule cong :premises (@p1182) :args (@t1087)) % 1.00/1.26 (step @p1184 :rule exists-elim :args ((= (exists @t33 @t1085) @t1087))) % 1.00/1.26 (step @p1185 :rule trans :premises (@p1184 @p1183)) % 1.00/1.26 (step @p1186 :rule refl :args (@t1080)) % 1.00/1.26 (step @p1187 :rule bool-implies-de-morgan :args (@t24 @t22)) % 1.00/1.26 (step @p1188 :rule bool-implies-de-morgan :args (@t23 @t1081)) % 1.00/1.26 (step @p1189 :rule nary_cong :premises (@p1188 @p1187 @p1186) :args (@t1091)) % 1.00/1.26 (step @p1190 :rule aci_norm :args ((= (or @t1090 (or @t1088 @t1080)) @t1091))) % 1.00/1.26 (step @p1191 :rule bool-and-de-morgan :args (@t25 @t17 true)) % 1.00/1.26 (step @p1192 :rule refl :args (@t1090)) % 1.00/1.26 (step @p1193 :rule nary_cong :premises (@p1192 @p1191) :args ((or @t1090 (not (and @t25 @t17))))) % 1.00/1.26 (step @p1194 :rule bool-and-de-morgan :args (@t1089 @t25 (and @t17))) % 1.00/1.26 (step @p1195 :rule trans :premises (@p1194 @p1193)) % 1.00/1.26 (step @p1196 :rule trans :premises (@p1195 @p1190)) % 1.00/1.26 (step @p1197 :rule trans :premises (@p1196 @p1189)) % 1.00/1.26 (step @p1198 :rule cong :premises (@p1197) :args (@t1093)) % 1.00/1.26 (step @p1199 :rule cong :premises (@p1198) :args (@t1094)) % 1.00/1.26 (step @p1200 :rule exists-elim :args ((= (exists @t29 @t1092) @t1094))) % 1.00/1.26 (step @p1201 :rule trans :premises (@p1200 @p1199)) % 1.00/1.26 (step @p1202 :rule refl :args (@t17)) % 1.00/1.26 (step @p1203 :rule refl :args (@t25)) % 1.00/1.26 (step @p1204 :rule eq-symm :args (@t21 @t19)) % 1.00/1.26 (step @p1205 :rule refl :args (@t23)) % 1.00/1.26 (step @p1206 :rule cong :premises (@p1205 @p1204) :args (@t27)) % 1.00/1.26 (step @p1207 :rule nary_cong :premises (@p1206 @p1203 @p1202) :args (@t28)) % 1.00/1.26 (step @p1208 :rule cong :premises (@p1207) :args (@t30)) % 1.00/1.26 (step @p1209 :rule trans :premises (@p1208 @p1201)) % 1.00/1.26 (step @p1210 :rule eq-symm :args (@t13 @t5)) % 1.00/1.26 (step @p1211 :rule cong :premises (@p1210) :args (@t31)) % 1.00/1.26 (step @p1212 :rule nary_cong :premises (@p1211 @p1209) :args (@t32)) % 1.00/1.26 (step @p1213 :rule cong :premises (@p1212) :args (@t34)) % 1.00/1.26 (step @p1214 :rule trans :premises (@p1213 @p1185)) % 1.00/1.26 (step @p1215 :rule cong :premises (@p1214) :args (@t1062)) % 1.00/1.26 (step @p1216 :rule trans :premises (@p1215 @p1154)) % 1.00/1.26 (step @p1217 :rule eq_resolve :premises (@p1151 @p1216)) % 1.00/1.26 (step @p1218 :rule refl :args (@t35)) % 1.00/1.26 (step @p1219 :rule cong :premises (@p1218 @p1214) :args (@t39)) % 1.00/1.26 (step @p1220 :rule refl :args (@t11)) % 1.00/1.26 (step @p1221 :rule cong :premises (@p1220 @p1219) :args (@t40)) % 1.00/1.26 (step @p1222 :rule eq_resolve :premises (@p5 @p1221)) % 1.00/1.26 (step @p1223 :rule implies_elim :premises (@p1222)) % 1.00/1.26 (step @p1224 :rule reordering :premises (@p1223) :args ((or @t1097 @t1095))) % 1.00/1.26 (step @p1225 :rule chain_m_resolution :premises (@p1224 @p1152) :args (@t1097 @t1098 @t1099)) % 1.00/1.26 (step @p1226 :rule refl :args (@t36)) % 1.00/1.26 (step @p1227 :rule cong :premises (@p1226 @p1214) :args (@t37)) % 1.00/1.26 (step @p1228 :rule cong :premises (@p1220 @p1227) :args (@t38)) % 1.00/1.26 (step @p1229 :rule eq_resolve :premises (@p4 @p1228)) % 1.00/1.26 (step @p1230 :rule implies_elim :premises (@p1229)) % 1.00/1.26 (step @p1231 :rule reordering :premises (@p1230) :args ((or @t1100 @t1095))) % 1.00/1.26 (step @p1232 :rule chain_m_resolution :premises (@p1231 @p1152) :args (@t1100 @t1098 @t1099)) % 1.00/1.26 (step @p1233 :rule refl :args (@t1096)) % 1.00/1.26 (step @p1234 :rule bool-double-not-elim :args (@t35)) % 1.00/1.26 (step @p1235 :rule refl :args (@t1101)) % 1.00/1.26 (step @p1236 :rule nary_cong :premises (@p1235 @p1234 @p1233) :args ((or @t1101 (not @t36) @t1096))) % 1.00/1.26 (step @p1237 :rule cnf_implies_pos :args (@t1100)) % 1.00/1.26 (step @p1238 :rule eq_resolve :premises (@p1237 @p1236)) % 1.00/1.26 (step @p1239 :rule reordering :premises (@p1238) :args ((or @t35 @t1096 @t1101))) % 1.00/1.26 (step @p1240 :rule chain_m_resolution :premises (@p1239 @p1217 @p1232) :args (@t35 (@list false false) (@list @t1069 @t1100))) % 1.00/1.26 (step @p1241 :rule cnf_implies_pos :args (@t1097)) % 1.00/1.26 (step @p1242 :rule reordering :premises (@p1241) :args ((or @t36 @t1096 (not @t1097)))) % 1.00/1.26 (step @p1243 false :rule chain_m_resolution :premises (@p1242 @p1240 @p1225 @p1217) :args (false (@list false false false) (@list @t35 @t1097 @t1069))) % 1.00/1.26 ) % 1.00/1.26 % SZS output end Proof % 1.00/1.26 % cvc5 exiting %------------------------------------------------------------------------------