%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW246+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 1.42s 1.67s % Output : Proof 1.42s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW246+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n015.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 21:42:04 EDT 2026 % 0.17/0.35 % CPUTime : % 0.47/0.81 %----Proving TF0_NAR, FOF, or CNF % 1.42/1.67 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.42/1.67 % SZS status Theorem % 1.42/1.67 % SZS output start Proof % 1.42/1.67 ( % 1.42/1.67 (declare-sort $$unsorted 0) % 1.42/1.67 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Orderings_Oorder_Omono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Transcendental_Odiffs (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat__aux (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Orderings_Owellorder (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Orderings_Oord__class_OLeast (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Nat_OSuc $$unsorted) % 1.42/1.67 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Polynomial_OAbs__poly (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.v_p $$unsorted) % 1.42/1.67 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_COMBI (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.t_a $$unsorted) % 1.42/1.67 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_fNot $$unsorted) % 1.42/1.67 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.42/1.67 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.42/1.67 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_If (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Rings_Osemiring__1 (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_fconj $$unsorted) % 1.42/1.67 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Orderings_Oorder_Ostrict__mono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Deriv_Oderiv (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.42/1.67 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.42/1.67 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.42/1.67 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted)) % 1.42/1.67 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.42/1.67 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.42/1.67 (define @t3 () (@var "B_x" $$unsorted)) % 1.42/1.67 (define @t4 () (tptp.hAPP @t2 @t3)) % 1.42/1.67 (define @t5 () (@list @t3)) % 1.42/1.67 (define @t6 () (tptp.c_Polynomial_Opoly tptp.t_a tptp.v_p)) % 1.42/1.67 (define @t7 () (tptp.class_Rings_Oidom tptp.t_a)) % 1.42/1.67 (define @t8 () (@var "T_b" $$unsorted)) % 1.42/1.67 (define @t9 () (tptp.tc_Polynomial_Opoly @t8)) % 1.42/1.67 (define @t10 () (tptp.c_Groups_Ozero__class_Ozero @t9)) % 1.42/1.67 (define @t11 () (@var "V_pa_2" $$unsorted)) % 1.42/1.67 (define @t12 () (= @t11 @t10)) % 1.42/1.67 (define @t13 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.42/1.67 (define @t14 () (tptp.class_Groups_Ozero @t8)) % 1.42/1.67 (define @t15 () (@list @t11 @t8)) % 1.42/1.67 (define @t16 () (@var "V_x" $$unsorted)) % 1.42/1.67 (define @t17 () (@var "V_p" $$unsorted)) % 1.42/1.67 (define @t18 () (@var "T_a" $$unsorted)) % 1.42/1.67 (define @t19 () (tptp.c_Polynomial_Opoly @t18 @t17)) % 1.42/1.67 (define @t20 () (tptp.hAPP @t19 @t16)) % 1.42/1.67 (define @t21 () (tptp.c_Groups_Otimes__class_Otimes @t18)) % 1.42/1.67 (define @t22 () (tptp.hAPP @t21 @t16)) % 1.42/1.67 (define @t23 () (@var "V_a" $$unsorted)) % 1.42/1.67 (define @t24 () (tptp.c_Groups_Oplus__class_Oplus @t18)) % 1.42/1.67 (define @t25 () (tptp.hAPP @t24 @t23)) % 1.42/1.67 (define @t26 () (tptp.c_Polynomial_OpCons @t18)) % 1.42/1.67 (define @t27 () (tptp.hAPP @t26 @t23)) % 1.42/1.67 (define @t28 () (tptp.hAPP @t27 @t17)) % 1.42/1.67 (define @t29 () (tptp.class_Rings_Ocomm__semiring__0 @t18)) % 1.42/1.67 (define @t30 () (@list @t16 @t17 @t23 @t18)) % 1.42/1.67 (define @t31 () (tptp.c_Groups_Ozero__class_Ozero @t18)) % 1.42/1.67 (define @t32 () (@var "V_n" $$unsorted)) % 1.42/1.67 (define @t33 () (tptp.c_Power_Opower__class_Opower @t18)) % 1.42/1.67 (define @t34 () (tptp.hAPP @t33 @t31)) % 1.42/1.67 (define @t35 () (tptp.hAPP @t34 @t32)) % 1.42/1.67 (define @t36 () (= @t32 @t13)) % 1.42/1.67 (define @t37 () (not @t36)) % 1.42/1.67 (define @t38 () (tptp.c_Groups_Oone__class_Oone @t18)) % 1.42/1.67 (define @t39 () (tptp.class_Power_Opower @t18)) % 1.42/1.67 (define @t40 () (and @t39 (tptp.class_Rings_Osemiring__0 @t18))) % 1.42/1.67 (define @t41 () (@list @t32 @t18)) % 1.42/1.67 (define @t42 () (tptp.tc_Polynomial_Opoly @t18)) % 1.42/1.67 (define @t43 () (tptp.c_Groups_Ozero__class_Ozero @t42)) % 1.42/1.67 (define @t44 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t43) @t16)) % 1.42/1.67 (define @t45 () (=> @t29 (= @t44 @t31))) % 1.42/1.67 (define @t46 () (@list @t16 @t18)) % 1.42/1.67 (define @t47 () (forall @t46 @t45)) % 1.42/1.67 (define @t48 () (tptp.hAPP (tptp.hAPP @t26 @t38) @t43)) % 1.42/1.67 (define @t49 () (tptp.c_Groups_Oone__class_Oone @t42)) % 1.42/1.67 (define @t50 () (tptp.class_Rings_Ocomm__semiring__1 @t18)) % 1.42/1.67 (define @t51 () (@list @t18)) % 1.42/1.67 (define @t52 () (tptp.hAPP @t26 @t31)) % 1.42/1.67 (define @t53 () (tptp.class_Groups_Ozero @t18)) % 1.42/1.67 (define @t54 () (tptp.c_Groups_Ozero__class_Ozero @t8)) % 1.42/1.67 (define @t55 () (@var "V_a_2" $$unsorted)) % 1.42/1.67 (define @t56 () (= @t55 @t54)) % 1.42/1.67 (define @t57 () (tptp.c_Polynomial_OpCons @t8)) % 1.42/1.67 (define @t58 () (tptp.hAPP (tptp.hAPP @t57 @t55) @t11)) % 1.42/1.67 (define @t59 () (@list @t11 @t55 @t8)) % 1.42/1.67 (define @t60 () (tptp.hAPP @t33 @t23)) % 1.42/1.67 (define @t61 () (tptp.hAPP @t60 @t32)) % 1.42/1.67 (define @t62 () (@var "V_m" $$unsorted)) % 1.42/1.67 (define @t63 () (tptp.hAPP @t60 @t62)) % 1.42/1.67 (define @t64 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 1.42/1.67 (define @t65 () (tptp.hAPP @t64 @t62)) % 1.42/1.67 (define @t66 () (tptp.hAPP @t65 @t32)) % 1.42/1.67 (define @t67 () (tptp.class_Groups_Omonoid__mult @t18)) % 1.42/1.67 (define @t68 () (@list @t32 @t62 @t23 @t18)) % 1.42/1.67 (define @t69 () (@var "V_q" $$unsorted)) % 1.42/1.67 (define @t70 () (tptp.hAPP @t33 @t16)) % 1.42/1.67 (define @t71 () (tptp.hAPP @t70 @t69)) % 1.42/1.67 (define @t72 () (tptp.hAPP @t70 @t17)) % 1.42/1.67 (define @t73 () (@list @t69 @t17 @t16 @t18)) % 1.42/1.67 (define @t74 () (@list @t23 @t18)) % 1.42/1.67 (define @t75 () (@var "V_n_2" $$unsorted)) % 1.42/1.67 (define @t76 () (= @t75 @t13)) % 1.42/1.67 (define @t77 () (not @t76)) % 1.42/1.67 (define @t78 () (tptp.c_Power_Opower__class_Opower @t8)) % 1.42/1.67 (define @t79 () (tptp.hAPP @t78 @t55)) % 1.42/1.67 (define @t80 () (tptp.hAPP @t79 @t75)) % 1.42/1.67 (define @t81 () (tptp.class_Power_Opower @t8)) % 1.42/1.67 (define @t82 () (@list @t75 @t55 @t8)) % 1.42/1.67 (define @t83 () (tptp.hAPP @t24 @t38)) % 1.42/1.67 (define @t84 () (tptp.hAPP @t83 @t38)) % 1.42/1.67 (define @t85 () (tptp.hAPP @t24 @t62)) % 1.42/1.67 (define @t86 () (@list @t62 @t18)) % 1.42/1.67 (define @t87 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.42/1.67 (define @t88 () (tptp.hAPP @t87 @t17)) % 1.42/1.67 (define @t89 () (tptp.hAPP @t87 @t62)) % 1.42/1.67 (define @t90 () (tptp.hAPP @t89 @t32)) % 1.42/1.67 (define @t91 () (tptp.c_Groups_Oplus__class_Oplus @t42)) % 1.42/1.67 (define @t92 () (tptp.hAPP @t91 @t17)) % 1.42/1.67 (define @t93 () (tptp.class_Groups_Ocomm__monoid__add @t18)) % 1.42/1.67 (define @t94 () (@list @t17 @t18)) % 1.42/1.67 (define @t95 () (@list @t69 @t18)) % 1.42/1.67 (define @t96 () (tptp.c_Groups_Otimes__class_Otimes @t42)) % 1.42/1.67 (define @t97 () (tptp.hAPP @t96 @t17)) % 1.42/1.67 (define @t98 () (@var "B_y" $$unsorted)) % 1.42/1.67 (define @t99 () (@list @t3 @t98)) % 1.42/1.67 (define @t100 () (@var "T_c" $$unsorted)) % 1.42/1.67 (define @t101 () (@var "V_ry" $$unsorted)) % 1.42/1.67 (define @t102 () (@var "V_ly" $$unsorted)) % 1.42/1.67 (define @t103 () (tptp.hAPP @t21 @t102)) % 1.42/1.67 (define @t104 () (@var "V_rx" $$unsorted)) % 1.42/1.67 (define @t105 () (@var "V_lx" $$unsorted)) % 1.42/1.67 (define @t106 () (tptp.hAPP @t21 @t105)) % 1.42/1.67 (define @t107 () (tptp.hAPP @t21 (tptp.hAPP @t106 @t104))) % 1.42/1.67 (define @t108 () (tptp.hAPP @t21 @t104)) % 1.42/1.67 (define @t109 () (tptp.hAPP @t108 @t101)) % 1.42/1.67 (define @t110 () (tptp.hAPP @t21 (tptp.hAPP @t106 @t102))) % 1.42/1.67 (define @t111 () (tptp.hAPP @t110 @t109)) % 1.42/1.67 (define @t112 () (@list @t101 @t104 @t102 @t105 @t18)) % 1.42/1.67 (define @t113 () (tptp.hAPP @t110 @t104)) % 1.42/1.67 (define @t114 () (@list @t104 @t102 @t105 @t18)) % 1.42/1.67 (define @t115 () (tptp.hAPP @t106 @t109)) % 1.42/1.67 (define @t116 () (@list @t101 @t104 @t105 @t18)) % 1.42/1.67 (define @t117 () (@var "V_b" $$unsorted)) % 1.42/1.67 (define @t118 () (tptp.hAPP @t21 @t117)) % 1.42/1.67 (define @t119 () (tptp.hAPP @t118 @t23)) % 1.42/1.67 (define @t120 () (tptp.hAPP @t21 @t23)) % 1.42/1.67 (define @t121 () (tptp.hAPP @t120 @t117)) % 1.42/1.67 (define @t122 () (@list @t117 @t23 @t18)) % 1.42/1.67 (define @t123 () (@var "V_d" $$unsorted)) % 1.42/1.67 (define @t124 () (tptp.hAPP @t24 @t117)) % 1.42/1.67 (define @t125 () (tptp.hAPP @t124 @t123)) % 1.42/1.67 (define @t126 () (@var "V_c" $$unsorted)) % 1.42/1.67 (define @t127 () (tptp.hAPP @t25 @t126)) % 1.42/1.67 (define @t128 () (tptp.hAPP @t24 @t127)) % 1.42/1.67 (define @t129 () (tptp.hAPP @t24 @t126)) % 1.42/1.67 (define @t130 () (tptp.hAPP @t129 @t123)) % 1.42/1.67 (define @t131 () (tptp.hAPP @t25 @t117)) % 1.42/1.67 (define @t132 () (tptp.hAPP @t24 @t131)) % 1.42/1.67 (define @t133 () (@list @t123 @t126 @t117 @t23 @t18)) % 1.42/1.67 (define @t134 () (tptp.hAPP @t132 @t126)) % 1.42/1.67 (define @t135 () (@list @t126 @t117 @t23 @t18)) % 1.42/1.67 (define @t136 () (tptp.hAPP @t124 @t126)) % 1.42/1.67 (define @t137 () (= @t134 (tptp.hAPP @t25 @t136))) % 1.42/1.67 (define @t138 () (tptp.hAPP @t25 @t130)) % 1.42/1.67 (define @t139 () (@list @t123 @t126 @t23 @t18)) % 1.42/1.67 (define @t140 () (tptp.hAPP @t129 @t23)) % 1.42/1.67 (define @t141 () (@var "V_q_2" $$unsorted)) % 1.42/1.67 (define @t142 () (= @t11 @t141)) % 1.42/1.67 (define @t143 () (@var "V_b_2" $$unsorted)) % 1.42/1.67 (define @t144 () (= @t55 @t143)) % 1.42/1.67 (define @t145 () (tptp.c_Polynomial_Opoly @t8 @t11)) % 1.42/1.67 (define @t146 () (tptp.class_Rings_Oidom @t8)) % 1.42/1.67 (define @t147 () (and (tptp.class_Int_Oring__char__0 @t8) @t146)) % 1.42/1.67 (define @t148 () (@list @t141 @t11 @t8)) % 1.42/1.67 (define @t149 () (= (tptp.hAPP @t120 @t31) @t31)) % 1.42/1.67 (define @t150 () (tptp.hAPP @t21 @t31)) % 1.42/1.67 (define @t151 () (= (tptp.hAPP @t150 @t23) @t31)) % 1.42/1.67 (define @t152 () (tptp.c_Groups_Oplus__class_Oplus @t8)) % 1.42/1.67 (define @t153 () (tptp.hAPP @t152 @t143)) % 1.42/1.67 (define @t154 () (tptp.hAPP @t153 @t55)) % 1.42/1.67 (define @t155 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t8)) % 1.42/1.67 (define @t156 () (@list @t55 @t143 @t8)) % 1.42/1.67 (define @t157 () (= (tptp.hAPP @t25 @t31) @t23)) % 1.42/1.67 (define @t158 () (= (tptp.hAPP (tptp.hAPP @t24 @t31) @t23) @t23)) % 1.42/1.67 (define @t159 () (@var "V_z_2" $$unsorted)) % 1.42/1.67 (define @t160 () (@var "V_y_2" $$unsorted)) % 1.42/1.67 (define @t161 () (@var "V_x_2" $$unsorted)) % 1.42/1.67 (define @t162 () (@var "V_w_2" $$unsorted)) % 1.42/1.67 (define @t163 () (tptp.c_Groups_Otimes__class_Otimes @t8)) % 1.42/1.67 (define @t164 () (tptp.hAPP @t163 @t161)) % 1.42/1.67 (define @t165 () (tptp.hAPP @t163 @t162)) % 1.42/1.67 (define @t166 () (tptp.hAPP @t164 @t159)) % 1.42/1.67 (define @t167 () (tptp.hAPP @t165 @t160)) % 1.42/1.67 (define @t168 () (tptp.hAPP @t21 @t131)) % 1.42/1.67 (define @t169 () (tptp.hAPP @t120 @t62)) % 1.42/1.67 (define @t170 () (tptp.hAPP @t24 @t169)) % 1.42/1.67 (define @t171 () (tptp.hAPP @t118 @t126)) % 1.42/1.67 (define @t172 () (tptp.hAPP @t120 @t126)) % 1.42/1.67 (define @t173 () (= (tptp.hAPP @t168 @t126) (tptp.hAPP (tptp.hAPP @t24 @t172) @t171))) % 1.42/1.67 (define @t174 () (@var "V_c_2" $$unsorted)) % 1.42/1.67 (define @t175 () (tptp.hAPP @t163 @t143)) % 1.42/1.67 (define @t176 () (tptp.hAPP @t175 @t174)) % 1.42/1.67 (define @t177 () (@var "V_d_2" $$unsorted)) % 1.42/1.67 (define @t178 () (tptp.hAPP @t163 @t55)) % 1.42/1.67 (define @t179 () (tptp.hAPP @t178 @t177)) % 1.42/1.67 (define @t180 () (tptp.hAPP @t178 @t174)) % 1.42/1.67 (define @t181 () (= @t174 @t177)) % 1.42/1.67 (define @t182 () (@list @t177 @t174 @t143 @t55 @t8)) % 1.42/1.67 (define @t183 () (@var "V_z" $$unsorted)) % 1.42/1.67 (define @t184 () (tptp.hAPP @t22 @t183)) % 1.42/1.67 (define @t185 () (@var "V_y" $$unsorted)) % 1.42/1.67 (define @t186 () (tptp.hAPP @t22 @t185)) % 1.42/1.67 (define @t187 () (@list @t183 @t185 @t16 @t18)) % 1.42/1.67 (define @t188 () (= (tptp.hAPP @t120 @t38) @t23)) % 1.42/1.67 (define @t189 () (= (tptp.hAPP (tptp.hAPP @t21 @t38) @t23) @t23)) % 1.42/1.67 (define @t190 () (= @t23 @t31)) % 1.42/1.67 (define @t191 () (not @t190)) % 1.42/1.67 (define @t192 () (@list @t32 @t23 @t18)) % 1.42/1.67 (define @t193 () (tptp.hAPP @t33 @t185)) % 1.42/1.67 (define @t194 () (tptp.hAPP @t21 @t71)) % 1.42/1.67 (define @t195 () (tptp.hAPP (tptp.hAPP @t33 @t117) @t32)) % 1.42/1.67 (define @t196 () (tptp.hAPP @t21 @t61)) % 1.42/1.67 (define @t197 () (tptp.class_Groups_Ocomm__monoid__mult @t18)) % 1.42/1.67 (define @t198 () (@list @t32 @t117 @t23 @t18)) % 1.42/1.67 (define @t199 () (tptp.hAPP @t120 @t61)) % 1.42/1.67 (define @t200 () (tptp.hAPP @t196 @t23)) % 1.42/1.67 (define @t201 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.42/1.67 (define @t202 () (tptp.hAPP @t92 @t69)) % 1.42/1.67 (define @t203 () (tptp.hAPP @t26 @t117)) % 1.42/1.67 (define @t204 () (tptp.hAPP @t203 @t69)) % 1.42/1.67 (define @t205 () (@list @t69 @t117 @t17 @t23 @t18)) % 1.42/1.67 (define @t206 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t69) @t16)) % 1.42/1.67 (define @t207 () (tptp.hAPP @t97 @t69)) % 1.42/1.67 (define @t208 () (@list @t16 @t69 @t17 @t18)) % 1.42/1.67 (define @t209 () (tptp.c_Power_Opower__class_Opower @t42)) % 1.42/1.67 (define @t210 () (@var "V_r" $$unsorted)) % 1.42/1.67 (define @t211 () (tptp.hAPP @t21 @t210)) % 1.42/1.67 (define @t212 () (= @t23 @t117)) % 1.42/1.67 (define @t213 () (tptp.hAPP @t25 @t38)) % 1.42/1.67 (define @t214 () (tptp.hAPP (tptp.hAPP @t21 @t213) @t62)) % 1.42/1.67 (define @t215 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.t_a))) % 1.42/1.67 (define @t216 () (tptp.c_Polynomial_Opoly tptp.t_a @t215)) % 1.42/1.67 (define @t217 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.t_a tptp.t_a @t216)) % 1.42/1.67 (define @t218 () (not @t217)) % 1.42/1.67 (define @t219 () (= @t160 @t54)) % 1.42/1.67 (define @t220 () (= @t161 @t54)) % 1.42/1.67 (define @t221 () (tptp.hAPP @t164 @t161)) % 1.42/1.67 (define @t222 () (tptp.hAPP (tptp.hAPP @t152 @t221) (tptp.hAPP (tptp.hAPP @t163 @t160) @t160))) % 1.42/1.67 (define @t223 () (tptp.class_Rings_Olinordered__ring__strict @t8)) % 1.42/1.67 (define @t224 () (@list @t160 @t161 @t8)) % 1.42/1.67 (define @t225 () (tptp.c_Polynomial_Oorder @t8 @t55 @t11)) % 1.42/1.67 (define @t226 () (tptp.c_Groups_Oone__class_Oone @t8)) % 1.42/1.67 (define @t227 () (@list @t8)) % 1.42/1.67 (define @t228 () (= @t62 @t13)) % 1.42/1.67 (define @t229 () (@list @t32 @t62)) % 1.42/1.67 (define @t230 () (@var "V_m_2" $$unsorted)) % 1.42/1.67 (define @t231 () (= @t230 @t13)) % 1.42/1.67 (define @t232 () (tptp.hAPP @t64 @t230)) % 1.42/1.67 (define @t233 () (tptp.hAPP @t232 @t75)) % 1.42/1.67 (define @t234 () (@list @t75 @t230)) % 1.42/1.67 (define @t235 () (@list @t62)) % 1.42/1.67 (define @t236 () (@list @t32)) % 1.42/1.67 (define @t237 () (tptp.hAPP @t87 @t32)) % 1.42/1.67 (define @t238 () (tptp.hAPP @t237 @t62)) % 1.42/1.67 (define @t239 () (@var "V_k" $$unsorted)) % 1.42/1.67 (define @t240 () (tptp.hAPP @t237 @t239)) % 1.42/1.67 (define @t241 () (@list @t239 @t32 @t62)) % 1.42/1.67 (define @t242 () (tptp.hAPP @t96 @t69)) % 1.42/1.67 (define @t243 () (@var "V_one_2" $$unsorted)) % 1.42/1.67 (define @t244 () (@var "V_times_2" $$unsorted)) % 1.42/1.67 (define @t245 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t8 @t243 @t244) @t55)) % 1.42/1.67 (define @t246 () (@list @t161 @t8)) % 1.42/1.67 (define @t247 () (= @t143 @t174)) % 1.42/1.67 (define @t248 () (tptp.hAPP @t152 @t55)) % 1.42/1.67 (define @t249 () (tptp.hAPP @t248 @t174)) % 1.42/1.67 (define @t250 () (tptp.hAPP @t248 @t143)) % 1.42/1.67 (define @t251 () (tptp.class_Groups_Ocancel__semigroup__add @t8)) % 1.42/1.67 (define @t252 () (@list @t174 @t143 @t55 @t8)) % 1.42/1.67 (define @t253 () (tptp.hAPP @t152 @t174)) % 1.42/1.67 (define @t254 () (tptp.hAPP @t253 @t55)) % 1.42/1.67 (define @t255 () (= @t117 @t126)) % 1.42/1.67 (define @t256 () (=> (= @t131 @t127) @t255)) % 1.42/1.67 (define @t257 () (tptp.class_Groups_Ocancel__semigroup__add @t18)) % 1.42/1.67 (define @t258 () (tptp.hAPP @t124 @t23)) % 1.42/1.67 (define @t259 () (@list @t126 @t23 @t117 @t18)) % 1.42/1.67 (define @t260 () (= @t161 @t226)) % 1.42/1.67 (define @t261 () (tptp.hAPP @t87 @t230)) % 1.42/1.67 (define @t262 () (tptp.hAPP @t261 @t75)) % 1.42/1.67 (define @t263 () (@var "V_k_2" $$unsorted)) % 1.42/1.67 (define @t264 () (= @t263 @t13)) % 1.42/1.67 (define @t265 () (= @t230 @t75)) % 1.42/1.67 (define @t266 () (or @t265 @t264)) % 1.42/1.67 (define @t267 () (tptp.hAPP @t87 @t263)) % 1.42/1.67 (define @t268 () (tptp.hAPP @t267 @t75)) % 1.42/1.67 (define @t269 () (tptp.hAPP @t267 @t230)) % 1.42/1.67 (define @t270 () (= @t269 @t268)) % 1.42/1.67 (define @t271 () (@list @t75 @t230 @t263)) % 1.42/1.67 (define @t272 () (tptp.hAPP @t87 @t75)) % 1.42/1.67 (define @t273 () (tptp.hAPP @t272 @t263)) % 1.42/1.67 (define @t274 () (tptp.hAPP @t261 @t263)) % 1.42/1.67 (define @t275 () (@list @t75 @t263 @t230)) % 1.42/1.67 (define @t276 () (tptp.hAPP @t64 @t32)) % 1.42/1.67 (define @t277 () (tptp.hAPP @t276 @t62)) % 1.42/1.67 (define @t278 () (tptp.hAPP @t64 @t16)) % 1.42/1.67 (define @t279 () (tptp.hAPP @t64 @t185)) % 1.42/1.67 (define @t280 () (tptp.hAPP @t279 @t183)) % 1.42/1.67 (define @t281 () (@list @t183 @t185 @t16)) % 1.42/1.67 (define @t282 () (tptp.hAPP @t276 @t239)) % 1.42/1.67 (define @t283 () (tptp.hAPP @t64 @t263)) % 1.42/1.67 (define @t284 () (tptp.hAPP @t283 @t75)) % 1.42/1.67 (define @t285 () (tptp.hAPP @t283 @t230)) % 1.42/1.67 (define @t286 () (tptp.hAPP (tptp.hAPP @t64 @t75) @t263)) % 1.42/1.67 (define @t287 () (tptp.hAPP @t87 @t239)) % 1.42/1.67 (define @t288 () (tptp.hAPP @t287 @t32)) % 1.42/1.67 (define @t289 () (tptp.hAPP @t287 @t62)) % 1.42/1.67 (define @t290 () (@list @t32 @t62 @t239)) % 1.42/1.67 (define @t291 () (tptp.hAPP @t89 @t239)) % 1.42/1.67 (define @t292 () (= @t75 @t201)) % 1.42/1.67 (define @t293 () (= @t230 @t201)) % 1.42/1.67 (define @t294 () (and @t293 @t292)) % 1.42/1.67 (define @t295 () (tptp.class_Groups_Omonoid__add @t18)) % 1.42/1.67 (define @t296 () (tptp.hAPP @t248 @t55)) % 1.42/1.67 (define @t297 () (tptp.class_Groups_Olinordered__ab__group__add @t8)) % 1.42/1.67 (define @t298 () (@list @t55 @t8)) % 1.42/1.67 (define @t299 () (tptp.c_Polynomial_Opcompose @t18 @t17 @t69)) % 1.42/1.67 (define @t300 () (tptp.hAPP @t27 @t43)) % 1.42/1.67 (define @t301 () (@list @t69 @t17 @t23 @t18)) % 1.42/1.67 (define @t302 () (@var "V_u" $$unsorted)) % 1.42/1.67 (define @t303 () (@var "V_j" $$unsorted)) % 1.42/1.67 (define @t304 () (@var "V_i" $$unsorted)) % 1.42/1.67 (define @t305 () (tptp.hAPP @t64 @t304)) % 1.42/1.67 (define @t306 () (tptp.hAPP @t305 @t303)) % 1.42/1.67 (define @t307 () (tptp.hAPP @t87 @t303)) % 1.42/1.67 (define @t308 () (tptp.hAPP @t87 @t304)) % 1.42/1.67 (define @t309 () (@var "V_b_H" $$unsorted)) % 1.42/1.67 (define @t310 () (tptp.hAPP @t120 @t309)) % 1.42/1.67 (define @t311 () (tptp.hAPP @t24 @t121)) % 1.42/1.67 (define @t312 () (tptp.class_RealVector_Oreal__normed__algebra @t18)) % 1.42/1.67 (define @t313 () (@list @t309 @t117 @t23 @t18)) % 1.42/1.67 (define @t314 () (@var "V_xa" $$unsorted)) % 1.42/1.67 (define @t315 () (tptp.hAPP @t21 @t314)) % 1.42/1.67 (define @t316 () (tptp.hAPP @t315 @t185)) % 1.42/1.67 (define @t317 () (tptp.hAPP @t315 @t16)) % 1.42/1.67 (define @t318 () (tptp.hAPP @t24 @t16)) % 1.42/1.67 (define @t319 () (tptp.hAPP @t318 @t185)) % 1.42/1.67 (define @t320 () (@list @t185 @t16 @t314 @t18)) % 1.42/1.67 (define @t321 () (@var "V_a_H" $$unsorted)) % 1.42/1.67 (define @t322 () (tptp.hAPP @t21 @t321)) % 1.42/1.67 (define @t323 () (tptp.hAPP @t322 @t117)) % 1.42/1.67 (define @t324 () (@list @t117 @t321 @t23 @t18)) % 1.42/1.67 (define @t325 () (@var "V_ya" $$unsorted)) % 1.42/1.67 (define @t326 () (tptp.hAPP @t21 @t185)) % 1.42/1.67 (define @t327 () (tptp.hAPP @t326 @t325)) % 1.42/1.67 (define @t328 () (tptp.hAPP @t22 @t325)) % 1.42/1.67 (define @t329 () (@list @t325 @t185 @t16 @t18)) % 1.42/1.67 (define @t330 () (@var "V_e" $$unsorted)) % 1.42/1.67 (define @t331 () (tptp.hAPP @t70 @t32)) % 1.42/1.67 (define @t332 () (tptp.class_Rings_Ocomm__ring__1 @t18)) % 1.42/1.67 (define @t333 () (tptp.c_Polynomial_Omonom @t8 @t55 @t75)) % 1.42/1.67 (define @t334 () (tptp.c_Polynomial_Omonom @t18 @t117 @t32)) % 1.42/1.67 (define @t335 () (tptp.c_Polynomial_Omonom @t18 @t23 @t32)) % 1.42/1.67 (define @t336 () (@list @t117 @t32 @t23 @t18)) % 1.42/1.67 (define @t337 () (tptp.c_Polynomial_Omonom @t18 @t23 @t62)) % 1.42/1.67 (define @t338 () (= @t117 @t31)) % 1.42/1.67 (define @t339 () (= @t121 @t31)) % 1.42/1.67 (define @t340 () (tptp.class_Rings_Ono__zero__divisors @t18)) % 1.42/1.67 (define @t341 () (not @t338)) % 1.42/1.67 (define @t342 () (= @t143 @t54)) % 1.42/1.67 (define @t343 () (@list @t143 @t55 @t8)) % 1.42/1.67 (define @t344 () (tptp.class_Rings_Omult__zero @t18)) % 1.42/1.67 (define @t345 () (@list @t185 @t18)) % 1.42/1.67 (define @t346 () (tptp.class_Rings_Ozero__neq__one @t18)) % 1.42/1.67 (define @t347 () (tptp.c_Groups_Otimes__class_Otimes @t9)) % 1.42/1.67 (define @t348 () (tptp.hAPP @t347 @t141)) % 1.42/1.67 (define @t349 () (tptp.c_Groups_Oplus__class_Oplus @t9)) % 1.42/1.67 (define @t350 () (tptp.tc_fun @t9 @t9)) % 1.42/1.67 (define @t351 () (tptp.hAPP (tptp.c_COMBB @t9 @t350 @t8) @t349)) % 1.42/1.67 (define @t352 () (tptp.hAPP (tptp.c_COMBB @t350 (tptp.tc_fun @t350 @t350) @t8) (tptp.c_COMBB @t9 @t9 @t9))) % 1.42/1.67 (define @t353 () (tptp.hAPP (tptp.c_COMBB @t350 (tptp.tc_fun @t9 @t350) @t8) (tptp.c_COMBK @t350 @t9))) % 1.42/1.67 (define @t354 () (tptp.class_Rings_Ocomm__semiring__0 @t8)) % 1.42/1.67 (define @t355 () (tptp.c_Polynomial_Opoly__rec @t8 @t100 @t159 @t2 @t11)) % 1.42/1.67 (define @t356 () (tptp.hAPP (tptp.hAPP @t2 @t55) @t11)) % 1.42/1.67 (define @t357 () (tptp.c_Polynomial_Opoly__rec @t8 @t100 @t159 @t2 (tptp.hAPP (tptp.hAPP (tptp.c_Polynomial_OpCons @t100) @t55) @t11))) % 1.42/1.67 (define @t358 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t100))) % 1.42/1.67 (define @t359 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t100)) @t358) @t159) @t159)) % 1.42/1.67 (define @t360 () (tptp.class_Groups_Ozero @t100)) % 1.42/1.67 (define @t361 () (tptp.hAPP (tptp.hAPP @t209 (tptp.hAPP @t27 @t48)) @t32)) % 1.42/1.67 (define @t362 () (tptp.c_If @t8)) % 1.42/1.67 (define @t363 () (tptp.hAPP @t52 @t207)) % 1.42/1.67 (define @t364 () (tptp.c_Polynomial_Osmult @t18)) % 1.42/1.67 (define @t365 () (tptp.hAPP @t364 @t23)) % 1.42/1.67 (define @t366 () (tptp.hAPP @t365 @t69)) % 1.42/1.67 (define @t367 () (tptp.hAPP @t365 @t17)) % 1.42/1.67 (define @t368 () (tptp.hAPP @t91 @t367)) % 1.42/1.67 (define @t369 () (@list @t69 @t23 @t17 @t18)) % 1.42/1.67 (define @t370 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t49) @t32)) % 1.42/1.67 (define @t371 () (@var "V_h" $$unsorted)) % 1.42/1.67 (define @t372 () (@var "B_n" $$unsorted)) % 1.42/1.67 (define @t373 () (tptp.c_Polynomial_Ocoeff @t8 @t141)) % 1.42/1.67 (define @t374 () (tptp.c_Polynomial_Ocoeff @t8 @t11)) % 1.42/1.67 (define @t375 () (@list @t372)) % 1.42/1.67 (define @t376 () (= @t161 @t160)) % 1.42/1.67 (define @t377 () (tptp.c_Polynomial_Ocoeff @t8 @t161)) % 1.42/1.67 (define @t378 () (tptp.c_Polynomial_Ocoeff @t18 @t17)) % 1.42/1.67 (define @t379 () (tptp.hAPP @t378 @t32)) % 1.42/1.67 (define @t380 () (@list @t32 @t17 @t23 @t18)) % 1.42/1.67 (define @t381 () (tptp.hAPP @t364 @t117)) % 1.42/1.67 (define @t382 () (tptp.hAPP @t381 @t17)) % 1.42/1.67 (define @t383 () (@list @t17 @t117 @t23 @t18)) % 1.42/1.67 (define @t384 () (tptp.hAPP @t365 @t207)) % 1.42/1.67 (define @t385 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t18 @t17 @t371)) % 1.42/1.67 (define @t386 () (@var "V_h_2" $$unsorted)) % 1.42/1.67 (define @t387 () (tptp.c_Polynomial_Osmult @t8)) % 1.42/1.67 (define @t388 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t8 @t11 @t386)) % 1.42/1.67 (define @t389 () (@list @t386 @t11 @t8)) % 1.42/1.67 (define @t390 () (tptp.hAPP @t387 @t55)) % 1.42/1.67 (define @t391 () (tptp.hAPP @t390 @t11)) % 1.42/1.67 (define @t392 () (tptp.c_Polynomial_Ocoeff @t18 @t28)) % 1.42/1.67 (define @t393 () (@list @t17 @t23 @t18)) % 1.42/1.67 (define @t394 () (= @t17 @t43)) % 1.42/1.67 (define @t395 () (tptp.hAPP @t364 @t126)) % 1.42/1.67 (define @t396 () (tptp.hAPP @t395 @t17)) % 1.42/1.67 (define @t397 () (@list @t23 @t17 @t126 @t18)) % 1.42/1.67 (define @t398 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t337) @t32)) % 1.42/1.67 (define @t399 () (= @t62 @t32)) % 1.42/1.67 (define @t400 () (not @t399)) % 1.42/1.67 (define @t401 () (tptp.c_Polynomial_Ocoeff @t18 @t69)) % 1.42/1.67 (define @t402 () (tptp.hAPP @t401 @t32)) % 1.42/1.67 (define @t403 () (@list @t32 @t69 @t17 @t18)) % 1.42/1.67 (define @t404 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.42/1.67 (define @t405 () (tptp.hAPP @t404 @t16)) % 1.42/1.67 (define @t406 () (tptp.hAPP @t405 @t185)) % 1.42/1.67 (define @t407 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.42/1.67 (define @t408 () (tptp.c_Polynomial_Osynthetic__div @t18 @t17 @t126)) % 1.42/1.67 (define @t409 () (tptp.hAPP @t19 @t126)) % 1.42/1.67 (define @t410 () (tptp.hAPP @t26 @t409)) % 1.42/1.67 (define @t411 () (tptp.hAPP @t410 @t408)) % 1.42/1.67 (define @t412 () (@list @t126 @t17 @t18)) % 1.42/1.67 (define @t413 () (tptp.tc_fun @t8 @t8)) % 1.42/1.67 (define @t414 () (tptp.c_COMBB @t8 @t413 tptp.tc_Nat_Onat)) % 1.42/1.67 (define @t415 () (tptp.c_COMBS tptp.tc_Nat_Onat @t8 @t8)) % 1.42/1.67 (define @t416 () (tptp.c_COMBB @t8 @t8 tptp.tc_Nat_Onat)) % 1.42/1.67 (define @t417 () (tptp.c_Nat_Onat_Onat__case @t8 @t55 @t374)) % 1.42/1.67 (define @t418 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat)) % 1.42/1.67 (define @t419 () (tptp.hAPP @t418 @t62)) % 1.42/1.67 (define @t420 () (tptp.hAPP @t419 @t201)) % 1.42/1.67 (define @t421 () (not @t228)) % 1.42/1.67 (define @t422 () (tptp.c_Groups_Ominus__class_Ominus @t18)) % 1.42/1.67 (define @t423 () (tptp.c_Groups_Ominus__class_Ominus @t42)) % 1.42/1.67 (define @t424 () (tptp.hAPP @t423 @t17)) % 1.42/1.67 (define @t425 () (tptp.hAPP @t424 @t69)) % 1.42/1.67 (define @t426 () (tptp.class_Groups_Oab__group__add @t18)) % 1.42/1.67 (define @t427 () (tptp.hAPP @t423 @t367)) % 1.42/1.67 (define @t428 () (tptp.hAPP @t422 @t23)) % 1.42/1.67 (define @t429 () (tptp.hAPP @t428 @t117)) % 1.42/1.67 (define @t430 () (tptp.class_Rings_Ocomm__ring @t18)) % 1.42/1.67 (define @t431 () (@var "V_w" $$unsorted)) % 1.42/1.67 (define @t432 () (@var "V_z2" $$unsorted)) % 1.42/1.67 (define @t433 () (tptp.hAPP @t407 @t432)) % 1.42/1.67 (define @t434 () (tptp.hAPP @t433 @t431)) % 1.42/1.67 (define @t435 () (@var "V_z1" $$unsorted)) % 1.42/1.67 (define @t436 () (tptp.hAPP @t407 @t435)) % 1.42/1.67 (define @t437 () (tptp.hAPP @t436 @t431)) % 1.42/1.67 (define @t438 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 1.42/1.67 (define @t439 () (tptp.hAPP @t438 @t435)) % 1.42/1.67 (define @t440 () (tptp.hAPP @t439 @t432)) % 1.42/1.67 (define @t441 () (@list @t431 @t432 @t435)) % 1.42/1.67 (define @t442 () (@var "V_z3" $$unsorted)) % 1.42/1.67 (define @t443 () (@list @t442 @t432 @t435)) % 1.42/1.67 (define @t444 () (tptp.hAPP @t407 @t431)) % 1.42/1.67 (define @t445 () (tptp.hAPP @t444 @t432)) % 1.42/1.67 (define @t446 () (tptp.hAPP @t444 @t435)) % 1.42/1.67 (define @t447 () (@list @t432 @t435 @t431)) % 1.42/1.67 (define @t448 () (tptp.hAPP @t407 @t183)) % 1.42/1.67 (define @t449 () (tptp.hAPP @t448 @t431)) % 1.42/1.67 (define @t450 () (@list @t431 @t183)) % 1.42/1.67 (define @t451 () (tptp.c_Groups_Ominus__class_Ominus @t8)) % 1.42/1.67 (define @t452 () (tptp.c_Groups_Ominus__class_Ominus @t9)) % 1.42/1.67 (define @t453 () (tptp.class_Groups_Oab__group__add @t8)) % 1.42/1.67 (define @t454 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.42/1.67 (define @t455 () (@list @t183)) % 1.42/1.67 (define @t456 () (tptp.hAPP (tptp.hAPP @t451 @t55) @t143)) % 1.42/1.67 (define @t457 () (= @t456 (tptp.hAPP (tptp.hAPP @t451 @t174) @t177))) % 1.42/1.67 (define @t458 () (tptp.hAPP @t418 @t304)) % 1.42/1.67 (define @t459 () (tptp.hAPP (tptp.hAPP @t418 (tptp.hAPP @t458 @t303)) @t239)) % 1.42/1.67 (define @t460 () (@list @t239 @t303 @t304)) % 1.42/1.67 (define @t461 () (tptp.c_Polynomial_Odegree @t18 @t17)) % 1.42/1.67 (define @t462 () (= @t456 @t54)) % 1.42/1.67 (define @t463 () (tptp.class_Groups_Ogroup__add @t8)) % 1.42/1.67 (define @t464 () (tptp.class_Groups_Ogroup__add @t18)) % 1.42/1.67 (define @t465 () (tptp.hAPP @t422 @t16)) % 1.42/1.67 (define @t466 () (tptp.hAPP @t465 @t185)) % 1.42/1.67 (define @t467 () (tptp.hAPP @t21 @t466)) % 1.42/1.67 (define @t468 () (tptp.hAPP @t422 @t121)) % 1.42/1.67 (define @t469 () (tptp.hAPP @t422 @t117)) % 1.42/1.67 (define @t470 () (tptp.hAPP @t24 @t429)) % 1.42/1.67 (define @t471 () (tptp.hAPP @t418 @t32)) % 1.42/1.67 (define @t472 () (tptp.hAPP @t419 @t32)) % 1.42/1.67 (define @t473 () (tptp.hAPP @t64 @t239)) % 1.42/1.67 (define @t474 () (tptp.hAPP @t473 @t32)) % 1.42/1.67 (define @t475 () (tptp.hAPP @t64 @t303)) % 1.42/1.67 (define @t476 () (tptp.hAPP @t475 @t239)) % 1.42/1.67 (define @t477 () (@list @t62 @t32)) % 1.42/1.67 (define @t478 () (tptp.c_Polynomial_Odegree @t8 @t11)) % 1.42/1.67 (define @t479 () (@list @t174 @t11 @t8)) % 1.42/1.67 (define @t480 () (@var "V_e_2" $$unsorted)) % 1.42/1.67 (define @t481 () (tptp.hAPP (tptp.hAPP @t152 (tptp.hAPP (tptp.hAPP @t163 @t456) @t480)) @t174)) % 1.42/1.67 (define @t482 () (tptp.hAPP (tptp.hAPP @t152 (tptp.hAPP @t175 @t480)) @t177)) % 1.42/1.67 (define @t483 () (tptp.hAPP (tptp.hAPP @t152 (tptp.hAPP @t178 @t480)) @t174)) % 1.42/1.67 (define @t484 () (= @t483 @t482)) % 1.42/1.67 (define @t485 () (tptp.class_Rings_Oring @t8)) % 1.42/1.67 (define @t486 () (@list @t177 @t143 @t174 @t480 @t55 @t8)) % 1.42/1.67 (define @t487 () (tptp.hAPP (tptp.hAPP @t152 (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP (tptp.hAPP @t451 @t143) @t55)) @t480)) @t177)) % 1.42/1.67 (define @t488 () (tptp.hAPP @t422 @t185)) % 1.42/1.67 (define @t489 () (tptp.hAPP @t488 @t117)) % 1.42/1.67 (define @t490 () (tptp.hAPP @t21 (tptp.hAPP @t465 @t23))) % 1.42/1.67 (define @t491 () (tptp.hAPP @t490 @t117)) % 1.42/1.67 (define @t492 () (tptp.hAPP (tptp.hAPP @t422 @t186) @t121)) % 1.42/1.67 (define @t493 () (@list @t117 @t23 @t185 @t16 @t18)) % 1.42/1.67 (define @t494 () (@var "V_f1_2" $$unsorted)) % 1.42/1.67 (define @t495 () (@var "V_f2_2" $$unsorted)) % 1.42/1.67 (define @t496 () (tptp.c_Nat_Onat_Onat__case @t8 @t494 @t495)) % 1.42/1.67 (define @t497 () (tptp.c_Polynomial_Odegree @t18 @t367)) % 1.42/1.67 (define @t498 () (tptp.class_Rings_Oidom @t18)) % 1.42/1.67 (define @t499 () (tptp.hAPP @t378 @t461)) % 1.42/1.67 (define @t500 () (not @t394)) % 1.42/1.67 (define @t501 () (tptp.hAPP @t374 @t478)) % 1.42/1.67 (define @t502 () (tptp.c_Polynomial_Odegree @t18 @t69)) % 1.42/1.67 (define @t503 () (tptp.hAPP (tptp.hAPP @t64 @t461) @t502)) % 1.42/1.67 (define @t504 () (@list @t69 @t17 @t18)) % 1.42/1.67 (define @t505 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.42/1.67 (define @t506 () (tptp.hAPP @t505 @t17)) % 1.42/1.67 (define @t507 () (tptp.hAPP @t506 @t62)) % 1.42/1.67 (define @t508 () (tptp.hAPP @t401 @t502)) % 1.42/1.67 (define @t509 () (tptp.hAPP @t471 @t201)) % 1.42/1.67 (define @t510 () (tptp.hAPP @t33 @t62)) % 1.42/1.67 (define @t511 () (tptp.hAPP @t21 @t62)) % 1.42/1.67 (define @t512 () (tptp.hAPP @t510 @t32)) % 1.42/1.67 (define @t513 () (tptp.hAPP @t22 @t16)) % 1.42/1.67 (define @t514 () (tptp.class_Rings_Oring__1 @t18)) % 1.42/1.67 (define @t515 () (tptp.class_Rings_Oring @t18)) % 1.42/1.67 (define @t516 () (tptp.c_Groups_Ouminus__class_Ouminus @t18)) % 1.42/1.67 (define @t517 () (tptp.c_Polynomial_Opoly__gcd @t18 @t16 @t185)) % 1.42/1.67 (define @t518 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t517) (tptp.c_Polynomial_Odegree @t18 @t517))) % 1.42/1.67 (define @t519 () (= @t185 @t43)) % 1.42/1.67 (define @t520 () (= @t16 @t43)) % 1.42/1.67 (define @t521 () (and @t520 @t519)) % 1.42/1.67 (define @t522 () (not @t521)) % 1.42/1.67 (define @t523 () (tptp.class_Fields_Ofield @t18)) % 1.42/1.67 (define @t524 () (@list @t185 @t16 @t18)) % 1.42/1.67 (define @t525 () (tptp.hAPP tptp.c_Nat_OSuc @t461)) % 1.42/1.67 (define @t526 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t18 @t17)) % 1.42/1.67 (define @t527 () (@var "V_B_2" $$unsorted)) % 1.42/1.67 (define @t528 () (@var "V_A_2" $$unsorted)) % 1.42/1.67 (define @t529 () (tptp.hAPP @t528 @t161)) % 1.42/1.67 (define @t530 () (tptp.tc_fun @t100 @t8)) % 1.42/1.67 (define @t531 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint)) % 1.42/1.67 (define @t532 () (tptp.hAPP (tptp.hAPP @t531 @t183) @t431)) % 1.42/1.67 (define @t533 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint)) % 1.42/1.67 (define @t534 () (tptp.hAPP @t533 @t431)) % 1.42/1.67 (define @t535 () (tptp.hAPP @t438 @t183)) % 1.42/1.67 (define @t536 () (tptp.hAPP @t535 @t534)) % 1.42/1.67 (define @t537 () (tptp.c_Groups_Ouminus__class_Ouminus @t42)) % 1.42/1.67 (define @t538 () (tptp.c_Groups_Ouminus__class_Ouminus @t8)) % 1.42/1.67 (define @t539 () (tptp.hAPP @t538 @t160)) % 1.42/1.67 (define @t540 () (tptp.hAPP tptp.c_Nat_OSuc @t13)) % 1.42/1.67 (define @t541 () (tptp.hAPP tptp.c_Nat_OSuc @t540)) % 1.42/1.67 (define @t542 () (tptp.hAPP @t516 @t23)) % 1.42/1.67 (define @t543 () (tptp.hAPP @t537 @t17)) % 1.42/1.67 (define @t544 () (tptp.hAPP @t26 @t542)) % 1.42/1.67 (define @t545 () (tptp.c_Groups_Ouminus__class_Ouminus @t9)) % 1.42/1.67 (define @t546 () (tptp.c_Polynomial_Opoly__gcd @t18 @t23 @t117)) % 1.42/1.67 (define @t547 () (tptp.hAPP @t537 @t185)) % 1.42/1.67 (define @t548 () (tptp.c_Polynomial_Opoly__gcd @t18 @t23 (tptp.c_Polynomial_Opoly__gcd @t18 @t117 @t126))) % 1.42/1.67 (define @t549 () (tptp.hAPP @t537 @t16)) % 1.42/1.67 (define @t550 () (tptp.hAPP @t538 @t161)) % 1.42/1.67 (define @t551 () (tptp.hAPP @t516 @t16)) % 1.42/1.67 (define @t552 () (tptp.hAPP tptp.c_Nat_OSuc @t32)) % 1.42/1.67 (define @t553 () (tptp.hAPP @t538 @t55)) % 1.42/1.67 (define @t554 () (tptp.hAPP @t538 @t143)) % 1.42/1.67 (define @t555 () (= @t55 @t554)) % 1.42/1.67 (define @t556 () (@var "V_nat_H_2" $$unsorted)) % 1.42/1.67 (define @t557 () (@var "V_nat_2" $$unsorted)) % 1.42/1.67 (define @t558 () (tptp.hAPP tptp.c_Nat_OSuc @t557)) % 1.42/1.67 (define @t559 () (= @t16 @t185)) % 1.42/1.67 (define @t560 () (@list @t185 @t16)) % 1.42/1.67 (define @t561 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.42/1.67 (define @t562 () (tptp.hAPP @t438 @t454)) % 1.42/1.67 (define @t563 () (tptp.hAPP @t533 @t183)) % 1.42/1.67 (define @t564 () (tptp.hAPP @t438 @t563)) % 1.42/1.67 (define @t565 () (tptp.hAPP @t535 @t431)) % 1.42/1.67 (define @t566 () (tptp.hAPP @t438 @t16)) % 1.42/1.67 (define @t567 () (tptp.hAPP @t438 @t185)) % 1.42/1.67 (define @t568 () (tptp.hAPP @t537 @t367)) % 1.42/1.67 (define @t569 () (@list @t32 @t17 @t18)) % 1.42/1.67 (define @t570 () (tptp.hAPP @t516 @t117)) % 1.42/1.67 (define @t571 () (tptp.hAPP @t120 @t570)) % 1.42/1.67 (define @t572 () (tptp.hAPP @t516 @t121)) % 1.42/1.67 (define @t573 () (tptp.hAPP @t21 @t542)) % 1.42/1.67 (define @t574 () (tptp.hAPP @t573 @t117)) % 1.42/1.67 (define @t575 () (tptp.hAPP @t24 @t542)) % 1.42/1.67 (define @t576 () (tptp.hAPP @t516 @t131)) % 1.42/1.67 (define @t577 () (tptp.hAPP @t469 @t23)) % 1.42/1.67 (define @t578 () (tptp.hAPP @t516 @t429)) % 1.42/1.67 (define @t579 () (tptp.hAPP tptp.c_Nat_OSuc @t62)) % 1.42/1.67 (define @t580 () (@var "V_nat_H" $$unsorted)) % 1.42/1.67 (define @t581 () (@var "V_nat_H_1" $$unsorted)) % 1.42/1.67 (define @t582 () (tptp.hAPP @t505 @t161)) % 1.42/1.67 (define @t583 () (tptp.hAPP (tptp.hAPP @t531 @t435) @t432)) % 1.42/1.67 (define @t584 () (tptp.hAPP tptp.c_Nat_OSuc @t66)) % 1.42/1.67 (define @t585 () (tptp.hAPP @t65 @t552)) % 1.42/1.67 (define @t586 () (tptp.hAPP (tptp.hAPP @t64 @t579) @t32)) % 1.42/1.67 (define @t587 () (tptp.hAPP @t87 (tptp.hAPP tptp.c_Nat_OSuc @t263))) % 1.42/1.67 (define @t588 () (tptp.hAPP @t587 @t75)) % 1.42/1.67 (define @t589 () (tptp.hAPP @t587 @t230)) % 1.42/1.67 (define @t590 () (tptp.hAPP @t418 @t579)) % 1.42/1.67 (define @t591 () (tptp.hAPP @t416 @t538)) % 1.42/1.67 (define @t592 () (= @t160 @t10)) % 1.42/1.67 (define @t593 () (tptp.c_Polynomial_Opoly__gcd @t8 @t161 @t160)) % 1.42/1.67 (define @t594 () (tptp.class_Fields_Ofield @t8)) % 1.42/1.67 (define @t595 () (tptp.hAPP tptp.c_Nat_OSuc @t75)) % 1.42/1.67 (define @t596 () (= (tptp.hAPP @t575 @t23) @t31)) % 1.42/1.67 (define @t597 () (tptp.hAPP @t516 @t38)) % 1.42/1.67 (define @t598 () (tptp.hAPP @t516 @t185)) % 1.42/1.67 (define @t599 () (= @t429 (tptp.hAPP @t25 @t570))) % 1.42/1.67 (define @t600 () (tptp.hAPP @t60 @t552)) % 1.42/1.67 (define @t601 () (tptp.hAPP @t22 @t71)) % 1.42/1.67 (define @t602 () (tptp.hAPP @t70 (tptp.hAPP tptp.c_Nat_OSuc @t69))) % 1.42/1.67 (define @t603 () (@list @t69 @t16 @t18)) % 1.42/1.67 (define @t604 () (= @t75 @t540)) % 1.42/1.67 (define @t605 () (= @t230 @t540)) % 1.42/1.67 (define @t606 () (or (and @t605 @t76) (and @t231 @t604))) % 1.42/1.67 (define @t607 () (tptp.hAPP @t418 @t230)) % 1.42/1.67 (define @t608 () (tptp.hAPP @t120 @t23)) % 1.42/1.67 (define @t609 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t18)) % 1.42/1.67 (define @t610 () (tptp.c_Polynomial_Odegree @t18 @t28)) % 1.42/1.67 (define @t611 () (=> @t500 (= @t610 @t525))) % 1.42/1.67 (define @t612 () (@list @t23 @t17 @t18)) % 1.42/1.67 (define @t613 () (tptp.c_Polynomial_Oorder @t18 @t23 @t17)) % 1.42/1.67 (define @t614 () (tptp.hAPP @t209 (tptp.hAPP @t544 @t48))) % 1.42/1.67 (define @t615 () (tptp.c_Rings_Odvd__class_Odvd @t42)) % 1.42/1.67 (define @t616 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t615 (tptp.hAPP @t614 (tptp.hAPP tptp.c_Nat_OSuc @t613))) @t17)))) % 1.42/1.67 (define @t617 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t615 (tptp.hAPP @t614 @t613)) @t17))) % 1.42/1.67 (define @t618 () (tptp.hAPP (tptp.hAPP @t57 @t226) @t10)) % 1.42/1.67 (define @t619 () (tptp.hAPP @t538 @t174)) % 1.42/1.67 (define @t620 () (tptp.c_Rings_Odvd__class_Odvd @t9)) % 1.42/1.67 (define @t621 () (tptp.c_Polynomial_Odegree @t18 @t16)) % 1.42/1.67 (define @t622 () (tptp.c_Rings_Oinverse__class_Oinverse @t18)) % 1.42/1.67 (define @t623 () (tptp.hAPP (tptp.hAPP @t364 (tptp.hAPP @t622 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t16) @t621))) @t16)) % 1.42/1.67 (define @t624 () (tptp.c_Rings_Odvd__class_Odvd @t18)) % 1.42/1.67 (define @t625 () (tptp.hAPP @t624 @t23)) % 1.42/1.67 (define @t626 () (tptp.hAPP @t615 @t517)) % 1.42/1.67 (define @t627 () (tptp.hAPP @t622 @t117)) % 1.42/1.67 (define @t628 () (tptp.hAPP @t622 @t23)) % 1.42/1.67 (define @t629 () (= @t628 @t627)) % 1.42/1.67 (define @t630 () (tptp.class_Rings_Odivision__ring__inverse__zero @t18)) % 1.42/1.67 (define @t631 () (tptp.hBOOL (tptp.hAPP @t625 @t126))) % 1.42/1.67 (define @t632 () (tptp.hAPP @t624 @t117)) % 1.42/1.67 (define @t633 () (tptp.hBOOL (tptp.hAPP @t632 @t126))) % 1.42/1.67 (define @t634 () (tptp.hBOOL (tptp.hAPP @t625 @t117))) % 1.42/1.67 (define @t635 () (tptp.c_Rings_Oinverse__class_Oinverse @t8)) % 1.42/1.67 (define @t636 () (tptp.hAPP @t635 @t55)) % 1.42/1.67 (define @t637 () (tptp.class_Rings_Odivision__ring__inverse__zero @t8)) % 1.42/1.67 (define @t638 () (= (tptp.hAPP @t622 @t628) @t23)) % 1.42/1.67 (define @t639 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t624 @t121) @t126))) % 1.42/1.67 (define @t640 () (tptp.hAPP @t624 @t126)) % 1.42/1.67 (define @t641 () (tptp.hBOOL (tptp.hAPP @t625 @t171))) % 1.42/1.67 (define @t642 () (@list @t117 @t126 @t23 @t18)) % 1.42/1.67 (define @t643 () (tptp.class_Rings_Odivision__ring @t18)) % 1.42/1.67 (define @t644 () (= @t628 @t31)) % 1.42/1.67 (define @t645 () (= (tptp.hAPP @t622 @t31) @t31)) % 1.42/1.67 (define @t646 () (tptp.hAPP @t624 @t16)) % 1.42/1.67 (define @t647 () (tptp.hBOOL (tptp.hAPP @t646 @t185))) % 1.42/1.67 (define @t648 () (tptp.c_Rings_Odvd__class_Odvd @t8)) % 1.42/1.67 (define @t649 () (tptp.hAPP @t648 @t161)) % 1.42/1.67 (define @t650 () (tptp.hBOOL (tptp.hAPP @t649 @t160))) % 1.42/1.67 (define @t651 () (tptp.class_Rings_Ocomm__ring__1 @t8)) % 1.42/1.67 (define @t652 () (tptp.hAPP @t193 @t32)) % 1.42/1.67 (define @t653 () (= (tptp.hAPP @t622 @t542) (tptp.hAPP @t516 @t628))) % 1.42/1.67 (define @t654 () (= (tptp.hAPP @t622 @t61) (tptp.hAPP (tptp.hAPP @t33 @t628) @t32))) % 1.42/1.67 (define @t655 () (tptp.hAPP @t615 @t17)) % 1.42/1.67 (define @t656 () (tptp.hBOOL (tptp.hAPP @t655 @t69))) % 1.42/1.67 (define @t657 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t615 @t367) @t69))) % 1.42/1.67 (define @t658 () (tptp.hBOOL (tptp.hAPP @t655 @t366))) % 1.42/1.67 (define @t659 () (@list @t23 @t69 @t17 @t18)) % 1.42/1.67 (define @t660 () (tptp.hAPP @t615 @t239)) % 1.42/1.67 (define @t661 () (tptp.hAPP @t620 @t263)) % 1.42/1.67 (define @t662 () (tptp.hAPP @t648 @t55)) % 1.42/1.67 (define @t663 () (tptp.hBOOL (tptp.hAPP @t662 @t143))) % 1.42/1.67 (define @t664 () (= @t174 @t54)) % 1.42/1.67 (define @t665 () (or @t664 @t663)) % 1.42/1.67 (define @t666 () (tptp.hAPP @t163 @t174)) % 1.42/1.67 (define @t667 () (tptp.hAPP @t666 @t143)) % 1.42/1.67 (define @t668 () (tptp.hAPP @t666 @t55)) % 1.42/1.67 (define @t669 () (@list @t143 @t55 @t174 @t8)) % 1.42/1.67 (define @t670 () (@list @t143 @t174 @t55 @t8)) % 1.42/1.67 (define @t671 () (tptp.hAPP @t622 @t121)) % 1.42/1.67 (define @t672 () (tptp.hAPP @t620 @t11)) % 1.42/1.67 (define @t673 () (tptp.hBOOL (tptp.hAPP @t672 @t141))) % 1.42/1.67 (define @t674 () (not @t56)) % 1.42/1.67 (define @t675 () (@list @t141 @t11 @t55 @t8)) % 1.42/1.67 (define @t676 () (tptp.hAPP @t21 @t628)) % 1.42/1.67 (define @t677 () (tptp.hAPP (tptp.hAPP @t24 @t628) @t627)) % 1.42/1.67 (define @t678 () (tptp.hAPP (tptp.hAPP @t422 @t628) @t627)) % 1.42/1.67 (define @t679 () (=> @t191 (= (tptp.hAPP @t676 @t23) @t38))) % 1.42/1.67 (define @t680 () (= @t141 @t10)) % 1.42/1.67 (define @t681 () (@var "V_t_2" $$unsorted)) % 1.42/1.67 (define @t682 () (@var "V_D_2" $$unsorted)) % 1.42/1.67 (define @t683 () (@var "B_k" $$unsorted)) % 1.42/1.67 (define @t684 () (tptp.hAPP @t648 @t177)) % 1.42/1.67 (define @t685 () (tptp.hAPP @t152 @t3)) % 1.42/1.67 (define @t686 () (tptp.class_Rings_Odvd @t8)) % 1.42/1.67 (define @t687 () (@var "V_P_2" $$unsorted)) % 1.42/1.67 (define @t688 () (@var "V_l_2" $$unsorted)) % 1.42/1.67 (define @t689 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 1.42/1.67 (define @t690 () (@list @t239)) % 1.42/1.67 (define @t691 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint)) % 1.42/1.67 (define @t692 () (tptp.hAPP @t691 @t239)) % 1.42/1.67 (define @t693 () (=> (tptp.hBOOL (tptp.hAPP @t692 @t32)) (tptp.hBOOL (tptp.hAPP @t692 @t62)))) % 1.42/1.67 (define @t694 () (tptp.hAPP @t531 @t62)) % 1.42/1.67 (define @t695 () (tptp.hAPP @t691 @t177)) % 1.42/1.67 (define @t696 () (tptp.hBOOL (tptp.hAPP @t695 @t681))) % 1.42/1.67 (define @t697 () (@list @t681 @t177)) % 1.42/1.67 (define @t698 () (tptp.hAPP @t689 @t263)) % 1.42/1.67 (define @t699 () (tptp.hAPP @t689 @t239)) % 1.42/1.67 (define @t700 () (tptp.hAPP @t689 @t230)) % 1.42/1.67 (define @t701 () (@list @t230)) % 1.42/1.67 (define @t702 () (tptp.hAPP @t407 @t263)) % 1.42/1.67 (define @t703 () (tptp.hAPP @t702 @t230)) % 1.42/1.67 (define @t704 () (tptp.hAPP @t407 @t239)) % 1.42/1.67 (define @t705 () (tptp.hAPP @t691 @t263)) % 1.42/1.67 (define @t706 () (tptp.hAPP @t438 @t161)) % 1.42/1.67 (define @t707 () (tptp.hAPP @t691 @t55)) % 1.42/1.67 (define @t708 () (tptp.hBOOL (tptp.hAPP @t700 @t75))) % 1.42/1.67 (define @t709 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 @t269) @t268))) % 1.42/1.67 (define @t710 () (tptp.class_Fields_Ofield__inverse__zero @t18)) % 1.42/1.67 (define @t711 () (tptp.hAPP @t635 @t161)) % 1.42/1.67 (define @t712 () (tptp.class_Fields_Ofield__inverse__zero @t8)) % 1.42/1.67 (define @t713 () (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool tptp.tc_HOL_Obool tptp.tc_Nat_Onat) tptp.c_fNot)) % 1.42/1.67 (define @t714 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t123) (tptp.c_Polynomial_Odegree @t18 @t123))) % 1.42/1.67 (define @t715 () (tptp.hAPP @t615 @t683)) % 1.42/1.67 (define @t716 () (@list @t683)) % 1.42/1.67 (define @t717 () (tptp.hAPP @t615 @t123)) % 1.42/1.67 (define @t718 () (tptp.hAPP @t689 @t23)) % 1.42/1.67 (define @t719 () (tptp.hBOOL (tptp.hAPP @t718 @t117))) % 1.42/1.67 (define @t720 () (@list @t117 @t32 @t23)) % 1.42/1.67 (define @t721 () (@list @t143 @t55 @t75)) % 1.42/1.67 (define @t722 () (tptp.hAPP @t689 @t16)) % 1.42/1.67 (define @t723 () (@list @t16)) % 1.42/1.67 (define @t724 () (tptp.hBOOL (tptp.hAPP @t722 @t185))) % 1.42/1.67 (define @t725 () (tptp.hAPP @t689 @t185)) % 1.42/1.67 (define @t726 () (tptp.hBOOL (tptp.hAPP @t725 @t16))) % 1.42/1.67 (define @t727 () (and @t724 (not @t726))) % 1.42/1.67 (define @t728 () (tptp.hAPP @t689 @t183)) % 1.42/1.67 (define @t729 () (tptp.hBOOL (tptp.hAPP @t722 @t183))) % 1.42/1.67 (define @t730 () (and @t729 (not (tptp.hBOOL (tptp.hAPP @t728 @t16))))) % 1.42/1.67 (define @t731 () (tptp.hBOOL (tptp.hAPP @t725 @t183))) % 1.42/1.67 (define @t732 () (=> (and @t731 (not (tptp.hBOOL (tptp.hAPP @t728 @t185)))) @t730)) % 1.42/1.67 (define @t733 () (tptp.hAPP @t689 @t117)) % 1.42/1.67 (define @t734 () (tptp.hBOOL (tptp.hAPP @t733 @t23))) % 1.42/1.67 (define @t735 () (and @t719 (not @t734))) % 1.42/1.67 (define @t736 () (@list @t117 @t23)) % 1.42/1.67 (define @t737 () (tptp.hAPP @t689 @t126)) % 1.42/1.67 (define @t738 () (tptp.hBOOL (tptp.hAPP @t718 @t126))) % 1.42/1.67 (define @t739 () (and @t738 (not (tptp.hBOOL (tptp.hAPP @t737 @t23))))) % 1.42/1.67 (define @t740 () (@list @t126 @t117 @t23)) % 1.42/1.67 (define @t741 () (not (= @t185 @t16))) % 1.42/1.67 (define @t742 () (not @t559)) % 1.42/1.67 (define @t743 () (tptp.hBOOL (tptp.hAPP @t733 @t126))) % 1.42/1.67 (define @t744 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 @t32) @t62))) % 1.42/1.67 (define @t745 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 @t62) @t32))) % 1.42/1.67 (define @t746 () (not @t212)) % 1.42/1.67 (define @t747 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 @t161) @t160))) % 1.42/1.67 (define @t748 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 @t160) @t161))) % 1.42/1.67 (define @t749 () (not @t376)) % 1.42/1.67 (define @t750 () (and @t747 (not @t748))) % 1.42/1.67 (define @t751 () (@list @t160 @t161)) % 1.42/1.67 (define @t752 () (tptp.hBOOL (tptp.hAPP @t687 @t13))) % 1.42/1.67 (define @t753 () (not @t752)) % 1.42/1.67 (define @t754 () (tptp.hAPP @t687 @t75)) % 1.42/1.67 (define @t755 () (tptp.hBOOL @t754)) % 1.42/1.67 (define @t756 () (tptp.hAPP @t2 @t161)) % 1.42/1.67 (define @t757 () (tptp.hAPP @t78 @t756)) % 1.42/1.67 (define @t758 () (tptp.hAPP @t163 @t177)) % 1.42/1.67 (define @t759 () (tptp.c_COMBB @t8 @t8 @t8)) % 1.42/1.67 (define @t760 () (tptp.hAPP (tptp.hAPP @t759 @t635) @t2)) % 1.42/1.67 (define @t761 () (not (= @t756 @t54))) % 1.42/1.67 (define @t762 () (tptp.c_Deriv_Oderiv @t8 @t2 @t161 @t177)) % 1.42/1.67 (define @t763 () (tptp.class_RealVector_Oreal__normed__field @t8)) % 1.42/1.67 (define @t764 () (tptp.c_Divides_Odiv__class_Omod @t42 @t16 @t185)) % 1.42/1.67 (define @t765 () (not @t519)) % 1.42/1.67 (define @t766 () (=> @t765 (= @t517 (tptp.c_Polynomial_Opoly__gcd @t18 @t185 @t764)))) % 1.42/1.67 (define @t767 () (@list @t16 @t185 @t18)) % 1.42/1.67 (define @t768 () (not @t220)) % 1.42/1.67 (define @t769 () (tptp.c_Orderings_Oord__class_OLeast @t8 @t687)) % 1.42/1.67 (define @t770 () (tptp.hBOOL (tptp.hAPP @t687 @t769))) % 1.42/1.67 (define @t771 () (tptp.hBOOL (tptp.hAPP @t687 @t263))) % 1.42/1.67 (define @t772 () (tptp.class_Orderings_Owellorder @t8)) % 1.42/1.67 (define @t773 () (@var "V_Db_2" $$unsorted)) % 1.42/1.67 (define @t774 () (@var "V_Da_2" $$unsorted)) % 1.42/1.67 (define @t775 () (tptp.hAPP @t163 @t774)) % 1.42/1.67 (define @t776 () (tptp.c_Deriv_Oderiv @t8 @t1 @t161 @t773)) % 1.42/1.67 (define @t777 () (tptp.hAPP @t1 @t161)) % 1.42/1.67 (define @t778 () (@var "V_E_2" $$unsorted)) % 1.42/1.67 (define @t779 () (tptp.c_Deriv_Oderiv @t8 @t2 @t161 @t682)) % 1.42/1.67 (define @t780 () (@list @t778 @t1 @t682 @t161 @t2 @t8)) % 1.42/1.67 (define @t781 () (@list @t174 @t682 @t161 @t2 @t8)) % 1.42/1.67 (define @t782 () (tptp.hAPP @t365 @t16)) % 1.42/1.67 (define @t783 () (@list @t185 @t16 @t23 @t18)) % 1.42/1.67 (define @t784 () (tptp.c_Deriv_Oderiv @t8 @t2 @t161 @t778)) % 1.42/1.67 (define @t785 () (= @t682 @t778)) % 1.42/1.67 (define @t786 () (@list @t778 @t682 @t161 @t2 @t8)) % 1.42/1.67 (define @t787 () (@var "V_Y_2" $$unsorted)) % 1.42/1.67 (define @t788 () (@var "V_X_2" $$unsorted)) % 1.42/1.67 (define @t789 () (tptp.hAPP @t152 @t682)) % 1.42/1.67 (define @t790 () (tptp.c_COMBB @t8 @t413 @t8)) % 1.42/1.67 (define @t791 () (tptp.c_COMBS @t8 @t8 @t8)) % 1.42/1.67 (define @t792 () (tptp.hAPP @t791 (tptp.hAPP (tptp.hAPP @t790 @t152) @t2))) % 1.42/1.67 (define @t793 () (tptp.c_Deriv_Oderiv @t8 @t1 @t161 @t778)) % 1.42/1.67 (define @t794 () (tptp.hAPP @t759 @t538)) % 1.42/1.67 (define @t795 () (@list @t682 @t161 @t2 @t8)) % 1.42/1.67 (define @t796 () (tptp.hAPP @t365 @t185)) % 1.42/1.67 (define @t797 () (tptp.hAPP (tptp.hAPP @t791 (tptp.hAPP (tptp.hAPP @t790 @t163) @t2)) @t1)) % 1.42/1.67 (define @t798 () (tptp.hAPP @t163 @t682)) % 1.42/1.67 (define @t799 () (tptp.hAPP @t798 @t777)) % 1.42/1.67 (define @t800 () (tptp.hAPP (tptp.hAPP @t163 @t756) @t778)) % 1.42/1.67 (define @t801 () (tptp.hAPP @t635 @t756)) % 1.42/1.67 (define @t802 () (@var "B_x1" $$unsorted)) % 1.42/1.67 (define @t803 () (tptp.class_Divides_Osemiring__div @t8)) % 1.42/1.67 (define @t804 () (tptp.class_Divides_Osemiring__div @t18)) % 1.42/1.67 (define @t805 () (tptp.c_Divides_Odiv__class_Omod @t18 @t23 @t117)) % 1.42/1.67 (define @t806 () (tptp.hAPP @t21 @t126)) % 1.42/1.67 (define @t807 () (tptp.hAPP @t806 @t117)) % 1.42/1.67 (define @t808 () (tptp.hAPP @t25 @t807)) % 1.42/1.67 (define @t809 () (tptp.hAPP @t25 @t171)) % 1.42/1.67 (define @t810 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t62 @t32)) % 1.42/1.67 (define @t811 () (@var "V_f" $$unsorted)) % 1.42/1.67 (define @t812 () (tptp.hAPP @t691 @t811)) % 1.42/1.67 (define @t813 () (tptp.hAPP @t531 @t16)) % 1.42/1.67 (define @t814 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t813 @t185) @t62)) % 1.42/1.67 (define @t815 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t16 @t62)) % 1.42/1.67 (define @t816 () (@list @t185 @t62 @t16)) % 1.42/1.67 (define @t817 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t23 @t117)) % 1.42/1.67 (define @t818 () (tptp.hAPP @t533 @t117)) % 1.42/1.67 (define @t819 () (tptp.hAPP @t533 @t23)) % 1.42/1.67 (define @t820 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t819 @t117)) % 1.42/1.67 (define @t821 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t23 @t818)) % 1.42/1.67 (define @t822 () (@list @t23)) % 1.42/1.67 (define @t823 () (@list @t117)) % 1.42/1.67 (define @t824 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t117 @t126)) % 1.42/1.67 (define @t825 () (tptp.hAPP @t407 @t23)) % 1.42/1.67 (define @t826 () (tptp.hAPP @t825 @t824)) % 1.42/1.67 (define @t827 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t826 @t126)) % 1.42/1.67 (define @t828 () (tptp.hAPP @t825 @t117)) % 1.42/1.67 (define @t829 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t828 @t126)) % 1.42/1.67 (define @t830 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t62 @t32)) % 1.42/1.67 (define @t831 () (tptp.hAPP tptp.c_Nat_OSuc @t830)) % 1.42/1.67 (define @t832 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t579 @t32)) % 1.42/1.67 (define @t833 () (@var "V_l" $$unsorted)) % 1.42/1.67 (define @t834 () (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t239 @t833) @t561))) % 1.42/1.67 (define @t835 () (@list @t833 @t239)) % 1.42/1.67 (define @t836 () (tptp.hAPP (tptp.hAPP @t64 @t288) @t62)) % 1.42/1.67 (define @t837 () (@list @t62 @t32 @t239)) % 1.42/1.67 (define @t838 () (@var "B_q" $$unsorted)) % 1.42/1.67 (define @t839 () (@list @t838)) % 1.42/1.67 (define @t840 () (@list @t177 @t230)) % 1.42/1.67 (define @t841 () (= @t831 @t32)) % 1.42/1.67 (define @t842 () (= @t817 @t561)) % 1.42/1.67 (define @t843 () (not @t842)) % 1.42/1.67 (define @t844 () (tptp.c_Divides_Odiv__class_Omod @t18 @t121 @t126)) % 1.42/1.67 (define @t845 () (tptp.c_Divides_Odiv__class_Omod @t18 @t117 @t126)) % 1.42/1.67 (define @t846 () (= @t845 (tptp.c_Divides_Odiv__class_Omod @t18 @t309 @t126))) % 1.42/1.67 (define @t847 () (tptp.c_Divides_Odiv__class_Omod @t18 @t23 @t126)) % 1.42/1.67 (define @t848 () (= @t847 (tptp.c_Divides_Odiv__class_Omod @t18 @t321 @t126))) % 1.42/1.67 (define @t849 () (@list @t309 @t117 @t321 @t126 @t23 @t18)) % 1.42/1.67 (define @t850 () (tptp.hAPP @t21 @t847)) % 1.42/1.67 (define @t851 () (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t850 @t117) @t126)) % 1.42/1.67 (define @t852 () (tptp.hAPP @t806 @t23)) % 1.42/1.67 (define @t853 () (@list @t117 @t23 @t126 @t18)) % 1.42/1.67 (define @t854 () (tptp.c_Divides_Odiv__class_Omod @t18 @t131 @t126)) % 1.42/1.67 (define @t855 () (tptp.hAPP @t24 @t847)) % 1.42/1.67 (define @t856 () (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t855 @t117) @t126)) % 1.42/1.67 (define @t857 () (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t25 @t845) @t126)) % 1.42/1.67 (define @t858 () (@list @t23 @t117 @t18)) % 1.42/1.67 (define @t859 () (tptp.c_Divides_Odiv__class_Omod @t18 @t429 @t126)) % 1.42/1.67 (define @t860 () (tptp.class_Divides_Oring__div @t18)) % 1.42/1.67 (define @t861 () (tptp.hAPP @t422 @t847)) % 1.42/1.67 (define @t862 () (tptp.c_Divides_Odiv__class_Omod @t18 @t542 @t117)) % 1.42/1.67 (define @t863 () (tptp.hAPP @t624 @t239)) % 1.42/1.67 (define @t864 () (tptp.hBOOL (tptp.hAPP @t863 @t62))) % 1.42/1.67 (define @t865 () (tptp.hBOOL (tptp.hAPP @t863 @t32))) % 1.42/1.67 (define @t866 () (tptp.hBOOL (tptp.hAPP @t863 (tptp.c_Divides_Odiv__class_Omod @t18 @t62 @t32)))) % 1.42/1.67 (define @t867 () (@list @t32 @t62 @t239 @t18)) % 1.42/1.67 (define @t868 () (tptp.hBOOL (tptp.hAPP @t640 @t117))) % 1.42/1.67 (define @t869 () (@list @t23 @t117 @t126 @t18)) % 1.42/1.67 (define @t870 () (tptp.hAPP @t648 @t263)) % 1.42/1.67 (define @t871 () (tptp.c_Polynomial_Odegree @t18 @t185)) % 1.42/1.67 (define @t872 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t185) @t871)) % 1.42/1.67 (define @t873 () (tptp.hAPP @t27 @t764)) % 1.42/1.67 (define @t874 () (tptp.c_Rings_Oinverse__class_Odivide @t18)) % 1.42/1.67 (define @t875 () (tptp.hAPP @t27 @t16)) % 1.42/1.67 (define @t876 () (tptp.c_Rings_Oinverse__class_Odivide @t8)) % 1.42/1.67 (define @t877 () (tptp.hAPP (tptp.hAPP @t790 @t876) @t2)) % 1.42/1.67 (define @t878 () (tptp.hAPP (tptp.hAPP @t791 @t877) @t1)) % 1.42/1.67 (define @t879 () (not (= @t777 @t54))) % 1.42/1.67 (define @t880 () (tptp.hAPP @t418 @t75)) % 1.42/1.67 (define @t881 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8 @t75)) % 1.42/1.67 (define @t882 () (tptp.c_COMBC @t8 tptp.tc_Nat_Onat @t8 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t8 (tptp.tc_fun tptp.tc_Nat_Onat @t8) @t8) @t78) @t2))) % 1.42/1.67 (define @t883 () (@list @t75 @t682 @t161 @t2 @t8)) % 1.42/1.67 (define @t884 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t185)) % 1.42/1.67 (define @t885 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t16)) % 1.42/1.67 (define @t886 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t23 @t117)) % 1.42/1.67 (define @t887 () (tptp.hAPP @t874 @t23)) % 1.42/1.67 (define @t888 () (tptp.hAPP @t874 @t31)) % 1.42/1.67 (define @t889 () (tptp.class_RealVector_Oreal__normed__field @t18)) % 1.42/1.67 (define @t890 () (tptp.hAPP @t874 @t117)) % 1.42/1.67 (define @t891 () (tptp.hAPP @t890 @t126)) % 1.42/1.67 (define @t892 () (tptp.hAPP @t874 @t185)) % 1.42/1.67 (define @t893 () (tptp.hAPP @t892 @t325)) % 1.42/1.67 (define @t894 () (tptp.hAPP @t874 @t16)) % 1.42/1.67 (define @t895 () (tptp.hAPP @t894 @t325)) % 1.42/1.67 (define @t896 () (tptp.hAPP @t887 @t126)) % 1.42/1.67 (define @t897 () (tptp.hAPP @t874 @t131)) % 1.42/1.67 (define @t898 () (tptp.hAPP @t874 @t429)) % 1.42/1.67 (define @t899 () (tptp.hAPP @t894 @t185)) % 1.42/1.67 (define @t900 () (tptp.hAPP @t874 @t542)) % 1.42/1.67 (define @t901 () (tptp.hAPP @t887 @t117)) % 1.42/1.67 (define @t902 () (tptp.hAPP @t516 @t901)) % 1.42/1.67 (define @t903 () (= (tptp.hAPP (tptp.hAPP @t33 @t901) @t32) (tptp.hAPP (tptp.hAPP @t874 @t61) @t195))) % 1.42/1.67 (define @t904 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8 @t230)) % 1.42/1.67 (define @t905 () (@list @t75 @t230 @t8)) % 1.42/1.67 (define @t906 () (= @t902 (tptp.hAPP @t887 @t570))) % 1.42/1.67 (define @t907 () (= (tptp.hAPP @t900 @t570) @t901)) % 1.42/1.67 (define @t908 () (tptp.class_Rings_Osemiring__1 @t18)) % 1.42/1.67 (define @t909 () (=> @t664 @t56)) % 1.42/1.67 (define @t910 () (= @t180 @t143)) % 1.42/1.67 (define @t911 () (not @t664)) % 1.42/1.67 (define @t912 () (tptp.hAPP (tptp.hAPP @t876 @t143) @t174)) % 1.42/1.67 (define @t913 () (= @t55 @t912)) % 1.42/1.67 (define @t914 () (= @t143 @t180)) % 1.42/1.67 (define @t915 () (= @t912 @t55)) % 1.42/1.67 (define @t916 () (@list @t55 @t174 @t143 @t8)) % 1.42/1.67 (define @t917 () (= @t126 @t31)) % 1.42/1.67 (define @t918 () (not @t917)) % 1.42/1.67 (define @t919 () (not @t219)) % 1.42/1.67 (define @t920 () (tptp.class_Rings_Odivision__ring @t8)) % 1.42/1.67 (define @t921 () (@list @t55 @t143 @t174 @t8)) % 1.42/1.67 (define @t922 () (tptp.hAPP @t887 @t23)) % 1.42/1.67 (define @t923 () (=> @t191 (= @t922 @t38))) % 1.42/1.67 (define @t924 () (tptp.hAPP (tptp.hAPP @t876 @t55) @t143)) % 1.42/1.67 (define @t925 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t18 @t32)) % 1.42/1.67 (define @t926 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t18 @t62)) % 1.42/1.67 (define @t927 () (@list @t32 @t62 @t18)) % 1.42/1.67 (define @t928 () (tptp.hAPP @t874 @t38)) % 1.42/1.67 (define @t929 () (tptp.hAPP @t928 @t23)) % 1.42/1.67 (define @t930 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t13)) % 1.42/1.67 (define @t931 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t75)) % 1.42/1.67 (define @t932 () (@list @t75)) % 1.42/1.67 (define @t933 () (= @t901 (tptp.hAPP @t120 @t627))) % 1.42/1.67 (define @t934 () (= @t628 @t929)) % 1.42/1.67 (define @t935 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t66)) % 1.42/1.67 (define @t936 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t32)) % 1.42/1.67 (define @t937 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t62)) % 1.42/1.67 (define @t938 () (tptp.hAPP @t438 @t937)) % 1.42/1.67 (define @t939 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t230)) % 1.42/1.67 (define @t940 () (@list @t230 @t75)) % 1.42/1.67 (define @t941 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t90)) % 1.42/1.67 (define @t942 () (tptp.hAPP (tptp.hAPP @t407 @t937) @t936)) % 1.42/1.67 (define @t943 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t201)) % 1.42/1.67 (define @t944 () (tptp.hAPP (tptp.hAPP @t505 @t62) @t32)) % 1.42/1.67 (define @t945 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t160)) % 1.42/1.67 (define @t946 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t161)) % 1.42/1.67 (define @t947 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 @t946) @t945))) % 1.42/1.67 (define @t948 () (tptp.hAPP (tptp.hAPP @t404 @t937) @t32)) % 1.42/1.67 (define @t949 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t944)) % 1.42/1.67 (define @t950 () (tptp.hAPP @t21 @t183)) % 1.42/1.67 (define @t951 () (tptp.hAPP @t950 @t185)) % 1.42/1.67 (define @t952 () (tptp.hAPP @t874 (tptp.hAPP @t318 @t951))) % 1.42/1.67 (define @t953 () (tptp.hAPP @t952 @t185)) % 1.42/1.67 (define @t954 () (not (= @t185 @t31))) % 1.42/1.67 (define @t955 () (@list @t16 @t183 @t185 @t18)) % 1.42/1.67 (define @t956 () (tptp.hAPP @t950 @t16)) % 1.42/1.67 (define @t957 () (tptp.hAPP @t892 @t183)) % 1.42/1.67 (define @t958 () (not (= @t183 @t31))) % 1.42/1.67 (define @t959 () (@list @t185 @t16 @t183 @t18)) % 1.42/1.67 (define @t960 () (tptp.hAPP @t24 @t899)) % 1.42/1.67 (define @t961 () (@list @t183 @t16 @t185 @t18)) % 1.42/1.67 (define @t962 () (tptp.hAPP @t894 @t183)) % 1.42/1.67 (define @t963 () (tptp.hAPP @t326 @t183)) % 1.42/1.67 (define @t964 () (tptp.hAPP (tptp.hAPP @t21 @t431) @t185)) % 1.42/1.67 (define @t965 () (tptp.hAPP (tptp.hAPP @t874 @t431) @t183)) % 1.42/1.67 (define @t966 () (@list @t431 @t16 @t183 @t185 @t18)) % 1.42/1.67 (define @t967 () (tptp.class_Rings_Osemiring__1 @t8)) % 1.42/1.67 (define @t968 () (@list @t75 @t8)) % 1.42/1.67 (define @t969 () (tptp.hAPP @t27 @t210)) % 1.42/1.67 (define @t970 () (tptp.c_Polynomial_Opdivmod__rel @t18 @t16 @t185 @t69 @t210)) % 1.42/1.67 (define @t971 () (@var "V_r_2" $$unsorted)) % 1.42/1.67 (define @t972 () (= @t971 @t10)) % 1.42/1.67 (define @t973 () (@var "V_r2" $$unsorted)) % 1.42/1.67 (define @t974 () (@var "V_r1" $$unsorted)) % 1.42/1.67 (define @t975 () (= @t974 @t973)) % 1.42/1.67 (define @t976 () (@var "V_q2" $$unsorted)) % 1.42/1.67 (define @t977 () (@var "V_q1" $$unsorted)) % 1.42/1.67 (define @t978 () (= @t977 @t976)) % 1.42/1.67 (define @t979 () (tptp.c_Polynomial_Opdivmod__rel @t18 @t16 @t185 @t976 @t973)) % 1.42/1.67 (define @t980 () (tptp.c_Polynomial_Opdivmod__rel @t18 @t16 @t185 @t977 @t974)) % 1.42/1.67 (define @t981 () (@list @t973 @t976 @t974 @t977 @t185 @t16 @t18)) % 1.42/1.67 (define @t982 () (@var "V_i_2" $$unsorted)) % 1.42/1.67 (define @t983 () (@var "V_inc_2" $$unsorted)) % 1.42/1.67 (define @t984 () (@var "V_r_H" $$unsorted)) % 1.42/1.67 (define @t985 () (tptp.hAPP @t96 @t185)) % 1.42/1.67 (define @t986 () (@var "V_q_H" $$unsorted)) % 1.42/1.67 (define @t987 () (tptp.c_Transcendental_Odiffs @t8 @t174 @t75)) % 1.42/1.67 (define @t988 () (tptp.class_Rings_Oring__1 @t8)) % 1.42/1.67 (define @t989 () (@list @t75 @t174 @t8)) % 1.42/1.67 (define @t990 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t32)) % 1.42/1.67 (define @t991 () (@list @t16 @t32 @t18)) % 1.42/1.67 (define @t992 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t579 @t552)) % 1.42/1.67 (define @t993 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t62 @t32)) % 1.42/1.67 (define @t994 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t75)) % 1.42/1.67 (define @t995 () (tptp.class_Rings_Olinordered__semidom @t8)) % 1.42/1.67 (define @t996 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t230 @t75)) % 1.42/1.67 (define @t997 () (tptp.c_Orderings_Oord__class_Oless @t18 @t926 @t925)) % 1.42/1.67 (define @t998 () (tptp.class_Rings_Olinordered__semidom @t18)) % 1.42/1.67 (define @t999 () (tptp.c_Orderings_Oord__class_Oless @t18 @t852 @t807)) % 1.42/1.67 (define @t1000 () (tptp.c_Orderings_Oord__class_Oless @t18 @t126 @t31)) % 1.42/1.67 (define @t1001 () (tptp.c_Orderings_Oord__class_Oless @t18 @t117 @t23)) % 1.42/1.67 (define @t1002 () (tptp.class_Rings_Olinordered__ring__strict @t18)) % 1.42/1.67 (define @t1003 () (tptp.c_Orderings_Oord__class_Oless @t18 @t172 @t171)) % 1.42/1.67 (define @t1004 () (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t126)) % 1.42/1.67 (define @t1005 () (tptp.c_Orderings_Oord__class_Oless @t18 @t23 @t117)) % 1.42/1.67 (define @t1006 () (=> @t1005 (=> @t1004 @t999))) % 1.42/1.67 (define @t1007 () (tptp.class_Rings_Olinordered__semiring__strict @t18)) % 1.42/1.67 (define @t1008 () (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t121)) % 1.42/1.67 (define @t1009 () (tptp.c_Orderings_Oord__class_Oless @t18 @t117 @t31)) % 1.42/1.67 (define @t1010 () (tptp.c_Orderings_Oord__class_Oless @t18 @t23 @t31)) % 1.42/1.67 (define @t1011 () (tptp.c_Orderings_Oord__class_Oless @t18 @t121 @t31)) % 1.42/1.67 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t117)) % 1.42/1.67 (define @t1013 () (tptp.c_Orderings_Oord__class_Oless @t8 @t143 @t55)) % 1.42/1.67 (define @t1014 () (tptp.c_Orderings_Oord__class_Oless @t8 @t668 @t667)) % 1.42/1.67 (define @t1015 () (tptp.c_Orderings_Oord__class_Oless @t8 @t174 @t54)) % 1.42/1.67 (define @t1016 () (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t23)) % 1.42/1.67 (define @t1017 () (=> @t1016 @t1012)) % 1.42/1.67 (define @t1018 () (tptp.c_Orderings_Oord__class_Oless @t8 @t55 @t143)) % 1.42/1.67 (define @t1019 () (tptp.c_Orderings_Oord__class_Oless @t8 @t54 @t174)) % 1.42/1.67 (define @t1020 () (or (and @t1019 @t1018) (and @t1015 @t1013))) % 1.42/1.67 (define @t1021 () (tptp.class_Rings_Olinordered__ring @t18)) % 1.42/1.67 (define @t1022 () (tptp.c_Orderings_Oord__class_Oless @t18 @t117 @t126)) % 1.42/1.67 (define @t1023 () (tptp.class_Groups_Oordered__comm__monoid__add @t18)) % 1.42/1.67 (define @t1024 () (tptp.c_Orderings_Oord__class_Oless @t8 @t55 @t54)) % 1.42/1.67 (define @t1025 () (= (tptp.c_Orderings_Oord__class_Oless @t8 @t296 @t54) @t1024)) % 1.42/1.67 (define @t1026 () (tptp.c_Orderings_Oord__class_Oless @t8 @t54 @t55)) % 1.42/1.67 (define @t1027 () (tptp.class_Rings_Olinordered__idom @t8)) % 1.42/1.67 (define @t1028 () (tptp.class_Groups_Oordered__ab__group__add @t8)) % 1.42/1.67 (define @t1029 () (@var "V_N" $$unsorted)) % 1.42/1.67 (define @t1030 () (tptp.hAPP @t60 @t1029)) % 1.42/1.67 (define @t1031 () (tptp.c_Orderings_Oord__class_Oless @t18 @t38 @t23)) % 1.42/1.67 (define @t1032 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t1029)) % 1.42/1.67 (define @t1033 () (@list @t23 @t1029 @t32 @t18)) % 1.42/1.67 (define @t1034 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t161 @t160)) % 1.42/1.67 (define @t1035 () (tptp.hAPP @t78 @t143)) % 1.42/1.67 (define @t1036 () (tptp.c_Orderings_Oord__class_Oless @t18 @t140 (tptp.hAPP @t129 @t117))) % 1.42/1.67 (define @t1037 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t18)) % 1.42/1.67 (define @t1038 () (tptp.c_Orderings_Oord__class_Oless @t18 @t127 @t136)) % 1.42/1.67 (define @t1039 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t18)) % 1.42/1.67 (define @t1040 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t8)) % 1.42/1.67 (define @t1041 () (tptp.c_Orderings_Oord__class_Oless @t18 @t185 @t16)) % 1.42/1.67 (define @t1042 () (tptp.c_Orderings_Oord__class_Oless @t18 @t16 @t185)) % 1.42/1.67 (define @t1043 () (not @t1042)) % 1.42/1.67 (define @t1044 () (=> @t742 (=> @t1043 @t1041))) % 1.42/1.67 (define @t1045 () (tptp.class_Rings_Olinordered__idom @t18)) % 1.42/1.67 (define @t1046 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t75 @t230)) % 1.42/1.67 (define @t1047 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t185)) % 1.42/1.67 (define @t1048 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t62)) % 1.42/1.67 (define @t1049 () (@var "V_t" $$unsorted)) % 1.42/1.67 (define @t1050 () (@var "V_s" $$unsorted)) % 1.42/1.67 (define @t1051 () (tptp.hBOOL (tptp.hAPP @t754 @t230))) % 1.42/1.67 (define @t1052 () (tptp.hAPP @t418 @t833)) % 1.42/1.67 (define @t1053 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t303 @t239)) % 1.42/1.67 (define @t1054 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t239 @t833)) % 1.42/1.67 (define @t1055 () (tptp.hAPP @t305 @t239)) % 1.42/1.67 (define @t1056 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t304 @t303)) % 1.42/1.67 (define @t1057 () (@list @t62 @t303 @t304)) % 1.42/1.67 (define @t1058 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t579 @t32)) % 1.42/1.67 (define @t1059 () (not @t993)) % 1.42/1.67 (define @t1060 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t62 @t552)) % 1.42/1.67 (define @t1061 () (tptp.hAPP tptp.c_Nat_OSuc @t304)) % 1.42/1.67 (define @t1062 () (tptp.hAPP tptp.c_Nat_OSuc @t230)) % 1.42/1.67 (define @t1063 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t75 @t1062)) % 1.42/1.67 (define @t1064 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t230 @t595)) % 1.42/1.67 (define @t1065 () (tptp.c_Orderings_Oord__class_Oless @t18 @t23 @t38)) % 1.42/1.67 (define @t1066 () (tptp.class_Orderings_Opreorder @t18)) % 1.42/1.67 (define @t1067 () (tptp.c_Orderings_Oord__class_Oless @t8 @t160 @t161)) % 1.42/1.67 (define @t1068 () (tptp.c_Orderings_Oord__class_Oless @t8 @t161 @t160)) % 1.42/1.67 (define @t1069 () (tptp.class_Orderings_Olinorder @t8)) % 1.42/1.67 (define @t1070 () (not @t1068)) % 1.42/1.67 (define @t1071 () (tptp.class_Orderings_Olinorder @t18)) % 1.42/1.67 (define @t1072 () (tptp.class_Orderings_Oorder @t18)) % 1.42/1.67 (define @t1073 () (tptp.c_Orderings_Oord__class_Oless @t18 @t23 @t126)) % 1.42/1.67 (define @t1074 () (tptp.class_Orderings_Oord @t18)) % 1.42/1.67 (define @t1075 () (tptp.c_Orderings_Oord__class_Oless @t18 @t126 @t23)) % 1.42/1.67 (define @t1076 () (=> @t993 (= @t830 @t62))) % 1.42/1.67 (define @t1077 () (tptp.c_Orderings_Oord__class_Oless @t8 @t143 @t54)) % 1.42/1.67 (define @t1078 () (tptp.c_Orderings_Oord__class_Oless @t8 @t54 @t143)) % 1.42/1.67 (define @t1079 () (tptp.class_Fields_Olinordered__field__inverse__zero @t8)) % 1.42/1.67 (define @t1080 () (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t899)) % 1.42/1.67 (define @t1081 () (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t185)) % 1.42/1.67 (define @t1082 () (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t16)) % 1.42/1.67 (define @t1083 () (tptp.class_Fields_Olinordered__field @t18)) % 1.42/1.67 (define @t1084 () (tptp.c_Orderings_Oord__class_Oless @t18 @t899 @t31)) % 1.42/1.67 (define @t1085 () (tptp.c_Orderings_Oord__class_Oless @t18 @t185 @t31)) % 1.42/1.67 (define @t1086 () (tptp.c_Orderings_Oord__class_Oless @t18 @t16 @t31)) % 1.42/1.67 (define @t1087 () (tptp.c_Orderings_Oord__class_Oless @t18 @t896 @t891)) % 1.42/1.67 (define @t1088 () (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t628)) % 1.42/1.67 (define @t1089 () (tptp.c_Orderings_Oord__class_Oless @t18 @t628 @t31)) % 1.42/1.67 (define @t1090 () (tptp.c_Orderings_Oord__class_Oless @t18 @t627 @t628)) % 1.42/1.67 (define @t1091 () (tptp.c_Orderings_Oord__class_Oless @t18 @t628 @t627)) % 1.42/1.67 (define @t1092 () (@var "B_j" $$unsorted)) % 1.42/1.67 (define @t1093 () (@var "B_m" $$unsorted)) % 1.42/1.67 (define @t1094 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t62)) % 1.42/1.67 (define @t1095 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t230)) % 1.42/1.67 (define @t1096 () (@list @t62 @t304)) % 1.42/1.67 (define @t1097 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t239)) % 1.42/1.67 (define @t1098 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t263)) % 1.42/1.67 (define @t1099 () (and @t1098 @t996)) % 1.42/1.67 (define @t1100 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t269 @t268)) % 1.42/1.67 (define @t1101 () (@var "V_j_2" $$unsorted)) % 1.42/1.67 (define @t1102 () (=> @t1059 (= @t830 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t472 @t32)))) % 1.42/1.67 (define @t1103 () (tptp.hAPP @t505 @t304)) % 1.42/1.67 (define @t1104 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t161)) % 1.42/1.67 (define @t1105 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 (tptp.hAPP @t582 @t75))) % 1.42/1.67 (define @t1106 () (@list @t75 @t161)) % 1.42/1.67 (define @t1107 () (tptp.c_Polynomial_Odegree @t18 @t202)) % 1.42/1.67 (define @t1108 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t502 @t32)) % 1.42/1.67 (define @t1109 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t461 @t32)) % 1.42/1.67 (define @t1110 () (@list @t69 @t32 @t17 @t18)) % 1.42/1.67 (define @t1111 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t621 @t871)) % 1.42/1.67 (define @t1112 () (tptp.c_Orderings_Oord__class_Oless @t8 @t483 @t482)) % 1.42/1.67 (define @t1113 () (tptp.class_Rings_Oordered__ring @t8)) % 1.42/1.67 (define @t1114 () (not @t1015)) % 1.42/1.67 (define @t1115 () (tptp.c_Orderings_Oord__class_Oless @t8 @t143 @t180)) % 1.42/1.67 (define @t1116 () (not @t1019)) % 1.42/1.67 (define @t1117 () (tptp.c_Orderings_Oord__class_Oless @t8 @t180 @t143)) % 1.42/1.67 (define @t1118 () (tptp.c_Orderings_Oord__class_Oless @t8 @t55 @t912)) % 1.42/1.67 (define @t1119 () (tptp.c_Orderings_Oord__class_Oless @t8 @t912 @t55)) % 1.42/1.67 (define @t1120 () (tptp.class_Fields_Olinordered__field @t8)) % 1.42/1.67 (define @t1121 () (tptp.hAPP @t874 @t126)) % 1.42/1.67 (define @t1122 () (=> @t1008 (tptp.c_Orderings_Oord__class_Oless @t18 (tptp.hAPP @t1121 @t23) (tptp.hAPP @t1121 @t117)))) % 1.42/1.67 (define @t1123 () (tptp.hAPP @t897 @t84)) % 1.42/1.67 (define @t1124 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t540 @t62)) % 1.42/1.67 (define @t1125 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t540 @t32)) % 1.42/1.67 (define @t1126 () (@var "B_d" $$unsorted)) % 1.42/1.67 (define @t1127 () (tptp.hBOOL (tptp.hAPP @t687 @t1126))) % 1.42/1.67 (define @t1128 () (= @t55 (tptp.hAPP (tptp.hAPP @t64 @t143) @t1126))) % 1.42/1.67 (define @t1129 () (@list @t1126)) % 1.42/1.67 (define @t1130 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t55 @t143)) % 1.42/1.67 (define @t1131 () (tptp.hBOOL (tptp.hAPP @t687 (tptp.hAPP (tptp.hAPP @t418 @t55) @t143)))) % 1.42/1.67 (define @t1132 () (@list @t143 @t55 @t687)) % 1.42/1.67 (define @t1133 () (tptp.hAPP tptp.c_Nat_OSuc @t509)) % 1.42/1.67 (define @t1134 () (@var "B_i" $$unsorted)) % 1.42/1.67 (define @t1135 () (@list @t1134 @t1092)) % 1.42/1.67 (define @t1136 () (tptp.hAPP @t87 @t117)) % 1.42/1.67 (define @t1137 () (tptp.hAPP @t1136 @t126)) % 1.42/1.67 (define @t1138 () (tptp.tc_fun tptp.tc_Nat_Onat tptp.tc_HOL_Obool)) % 1.42/1.67 (define @t1139 () (tptp.tc_fun tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) % 1.42/1.67 (define @t1140 () (tptp.tc_fun tptp.tc_Nat_Onat @t1139)) % 1.42/1.67 (define @t1141 () (tptp.c_Orderings_Oorder_Ostrict__mono tptp.tc_Nat_Onat @t8 (tptp.hAPP (tptp.hAPP (tptp.c_COMBS tptp.tc_Nat_Onat @t1138 @t1138) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1140 (tptp.tc_fun @t1138 @t1138) tptp.tc_Nat_Onat) (tptp.c_COMBS tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_HOL_Obool)) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1138 @t1140 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool @t1139 tptp.tc_Nat_Onat) tptp.c_fconj)) @t689))) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t1138 @t1138 tptp.tc_Nat_Onat) @t713) (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_HOL_Obool @t689))) @t2)) % 1.42/1.67 (define @t1142 () (tptp.class_Orderings_Oorder @t8)) % 1.42/1.67 (define @t1143 () (tptp.hAPP @t533 (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t552))) % 1.42/1.67 (define @t1144 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t304 @t303)) % 1.42/1.67 (define @t1145 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t561 @t239)) % 1.42/1.67 (define @t1146 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t239)) % 1.42/1.67 (define @t1147 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t162 @t159)) % 1.42/1.67 (define @t1148 () (@list @t159 @t162)) % 1.42/1.67 (define @t1149 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t561 @t117)) % 1.42/1.67 (define @t1150 () (@list @t23 @t117)) % 1.42/1.67 (define @t1151 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 @t32) @t62))) % 1.42/1.67 (define @t1152 () (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint (tptp.hAPP tptp.c_Nat_OSuc @t372))) % 1.42/1.67 (define @t1153 () (tptp.hAPP @t407 @t1146)) % 1.42/1.67 (define @t1154 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t280)) % 1.42/1.67 (define @t1155 () (tptp.c_Polynomial_Opos__poly @t8 @t11)) % 1.42/1.67 (define @t1156 () (tptp.c_Polynomial_Opos__poly @t18 @t69)) % 1.42/1.67 (define @t1157 () (tptp.c_Polynomial_Opos__poly @t18 @t17)) % 1.42/1.67 (define @t1158 () (tptp.hAPP @t404 @t239)) % 1.42/1.67 (define @t1159 () (tptp.c_Divides_Odiv__class_Odiv @t8 @t143 @t55)) % 1.42/1.67 (define @t1160 () (tptp.c_Divides_Odiv__class_Odiv @t18 @t23 @t117)) % 1.42/1.67 (define @t1161 () (tptp.c_Divides_Odiv__class_Odiv @t18 @t852 @t807)) % 1.42/1.67 (define @t1162 () (=> @t918 (= @t1161 @t1160))) % 1.42/1.67 (define @t1163 () (tptp.c_Divides_Odiv__class_Odiv @t18 @t117 @t23)) % 1.42/1.67 (define @t1164 () (tptp.hAPP @t21 @t1163)) % 1.42/1.67 (define @t1165 () (tptp.c_Divides_Odiv__class_Odiv @t18 @t16 @t185)) % 1.42/1.67 (define @t1166 () (tptp.hAPP @t624 @t183)) % 1.42/1.67 (define @t1167 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t624 @t185) @t16))) % 1.42/1.67 (define @t1168 () (tptp.hAPP @t516 @t1165)) % 1.42/1.67 (define @t1169 () (tptp.hAPP @t438 @t23)) % 1.42/1.67 (define @t1170 () (tptp.hAPP @t1169 @t239)) % 1.42/1.67 (define @t1171 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t23 @t117)) % 1.42/1.67 (define @t1172 () (tptp.hAPP @t407 @t117)) % 1.42/1.67 (define @t1173 () (tptp.hAPP (tptp.hAPP @t438 (tptp.hAPP @t1172 @t1171)) @t817)) % 1.42/1.67 (define @t1174 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t117 @t126)) % 1.42/1.67 (define @t1175 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t62 @t32)) % 1.42/1.67 (define @t1176 () (tptp.hAPP (tptp.hAPP @t407 @t32) @t1175)) % 1.42/1.67 (define @t1177 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t819 @t117)) % 1.42/1.67 (define @t1178 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t23 @t818)) % 1.42/1.67 (define @t1179 () (tptp.hAPP (tptp.hAPP @t24 @t1160) @t38)) % 1.42/1.67 (define @t1180 () (tptp.hAPP @t129 @t1160)) % 1.42/1.67 (define @t1181 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t55 @t143) @t561)) % 1.42/1.67 (define @t1182 () (@list @t55 @t143)) % 1.42/1.67 (define @t1183 () (tptp.hAPP @t1172 @t126)) % 1.42/1.67 (define @t1184 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t561 @t126)) % 1.42/1.67 (define @t1185 () (@list @t117 @t23 @t126)) % 1.42/1.67 (define @t1186 () (tptp.hAPP (tptp.hAPP @t21 @t1160) @t117)) % 1.42/1.67 (define @t1187 () (tptp.hAPP (tptp.hAPP @t24 @t1186) @t805)) % 1.42/1.67 (define @t1188 () (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t118 @t1160)) @t805)) % 1.42/1.67 (define @t1189 () (tptp.hAPP @t533 @t1171)) % 1.42/1.67 (define @t1190 () (tptp.hAPP (tptp.hAPP @t531 @t1189) @t454)) % 1.42/1.67 (define @t1191 () (not (= @t117 @t561))) % 1.42/1.67 (define @t1192 () (tptp.c_Groups_Osgn__class_Osgn @t42 @t16)) % 1.42/1.67 (define @t1193 () (tptp.c_Orderings_Oord__class_Oless @t42 @t43 @t16)) % 1.42/1.67 (define @t1194 () (tptp.c_Divides_Odiv__class_Odiv @t42 @t16 @t185)) % 1.42/1.67 (define @t1195 () (tptp.hAPP @t87 @t23)) % 1.42/1.67 (define @t1196 () (@var "T" $$unsorted)) % 1.42/1.67 (define @t1197 () (tptp.class_Rings_Oidom @t1196)) % 1.42/1.67 (define @t1198 () (@list @t1196)) % 1.42/1.67 (define @t1199 () (tptp.class_Rings_Ocomm__semiring__0 @t1196)) % 1.42/1.67 (define @t1200 () (forall @t1198 (=> @t1197 @t1199))) % 1.42/1.67 (define @t1201 () (@var "T_1" $$unsorted)) % 1.42/1.67 (define @t1202 () (tptp.tc_Polynomial_Opoly @t1201)) % 1.42/1.67 (define @t1203 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1201)) % 1.42/1.67 (define @t1204 () (@list @t1201)) % 1.42/1.67 (define @t1205 () (@var "T_2" $$unsorted)) % 1.42/1.67 (define @t1206 () (tptp.tc_fun @t1205 @t1201)) % 1.42/1.67 (define @t1207 () (@list @t1205 @t1201)) % 1.42/1.67 (define @t1208 () (tptp.class_Rings_Oidom @t1201)) % 1.42/1.67 (define @t1209 () (tptp.class_Rings_Olinordered__idom @t1201)) % 1.42/1.67 (define @t1210 () (tptp.class_Rings_Ocomm__semiring__0 @t1201)) % 1.42/1.67 (define @t1211 () (tptp.class_Rings_Ocomm__semiring__1 @t1201)) % 1.42/1.67 (define @t1212 () (tptp.class_Groups_Ocomm__monoid__add @t1201)) % 1.42/1.67 (define @t1213 () (tptp.class_Fields_Ofield @t1201)) % 1.42/1.67 (define @t1214 () (tptp.class_Groups_Oab__group__add @t1201)) % 1.42/1.67 (define @t1215 () (tptp.class_Rings_Ocomm__ring__1 @t1201)) % 1.42/1.67 (define @t1216 () (tptp.class_Rings_Ocomm__ring @t1201)) % 1.42/1.67 (define @t1217 () (@var "V_P" $$unsorted)) % 1.42/1.67 (define @t1218 () (@var "V_Q" $$unsorted)) % 1.42/1.67 (define @t1219 () (@var "V_R_2" $$unsorted)) % 1.42/1.67 (define @t1220 () (@var "V_Q_2" $$unsorted)) % 1.42/1.67 (define @t1221 () (tptp.hAPP @t1220 @t1219)) % 1.42/1.67 (define @t1222 () (@var "T_d" $$unsorted)) % 1.42/1.67 (define @t1223 () (tptp.hAPP @t687 @t1219)) % 1.42/1.67 (define @t1224 () (@list @t1219 @t1220 @t687 @t8 @t1222 @t100)) % 1.42/1.67 (define @t1225 () (tptp.hBOOL (tptp.hAPP (tptp.c_fequal @t161) @t160))) % 1.42/1.67 (define @t1226 () (tptp.hBOOL @t687)) % 1.42/1.67 (define @t1227 () (not @t1226)) % 1.42/1.67 (define @t1228 () (tptp.hBOOL (tptp.hAPP tptp.c_fNot @t687))) % 1.42/1.67 (define @t1229 () (@list @t687)) % 1.42/1.67 (define @t1230 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fconj @t687) @t1220))) % 1.42/1.67 (define @t1231 () (tptp.hBOOL @t1220)) % 1.42/1.67 (define @t1232 () (@list @t1220 @t687)) % 1.42/1.67 (define @t1233 () (not @t1230)) % 1.42/1.67 (define @t1234 () (@var "B_z" $$unsorted)) % 1.42/1.67 (define @t1235 () (@var "B_a" $$unsorted)) % 1.42/1.67 (define @t1236 () (tptp.c_Groups_Ozero__class_Ozero tptp.t_a)) % 1.42/1.67 (define @t1237 () (= @t31 @t44)) % 1.42/1.67 (define @t1238 () (@quantifiers_skolemize (forall @t99 (= (tptp.hAPP @t6 @t3) (tptp.hAPP @t6 @t98))) 1)) % 1.42/1.67 (define @t1239 () (tptp.class_Rings_Ocomm__semiring__0 tptp.t_a)) % 1.42/1.67 (define @t1240 () (not @t7)) % 1.42/1.67 (define @t1241 () (or @t1240 @t1239)) % 1.42/1.67 (define @t1242 () (@list false false)) % 1.42/1.67 (define @t1243 () (= @t1236 (tptp.hAPP @t216 @t1238))) % 1.42/1.67 (define @t1244 () (not @t1239)) % 1.42/1.67 (define @t1245 () (or @t1244 @t1243)) % 1.42/1.67 (define @t1246 () (forall @t99 (= (tptp.hAPP @t216 @t3) (tptp.hAPP @t216 @t98)))) % 1.42/1.67 (define @t1247 () (@quantifiers_skolemize @t1246 1)) % 1.42/1.67 (define @t1248 () (= @t1236 (tptp.hAPP @t216 @t1247))) % 1.42/1.67 (define @t1249 () (or @t1244 @t1248)) % 1.42/1.67 (define @t1250 () (@quantifiers_skolemize @t1246 0)) % 1.42/1.67 (define @t1251 () (= @t1236 (tptp.hAPP @t216 @t1250))) % 1.42/1.67 (define @t1252 () (or @t1244 @t1251)) % 1.42/1.67 (define @t1253 () (= @t217 @t1246)) % 1.42/1.67 (define @t1254 () (not @t1246)) % 1.42/1.67 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t5 (= @t4 (tptp.hAPP @t1 @t3))) (= @t2 @t1)))) % 1.42/1.67 (assume @p2 (=> @t7 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.t_a tptp.t_a @t6)))) % 1.42/1.67 (assume @p3 (forall @t15 (=> @t14 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t8 @t11) @t13) @t12)))) % 1.42/1.67 (assume @p4 (forall @t30 (=> @t29 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t28) @t16) (tptp.hAPP @t25 (tptp.hAPP @t22 @t20)))))) % 1.42/1.67 (assume @p5 (forall @t41 (=> @t40 (and (=> @t36 (= @t35 @t38)) (=> @t37 (= @t35 @t31)))))) % 1.42/1.67 (assume @p6 @t47) % 1.42/1.67 (assume @p7 (forall @t51 (=> @t50 (= @t49 @t48)))) % 1.42/1.67 (assume @p8 (forall @t51 (=> @t53 (= (tptp.hAPP @t52 @t43) @t43)))) % 1.42/1.67 (assume @p9 (forall @t59 (=> @t14 (= (= @t58 @t10) (and @t56 @t12))))) % 1.42/1.67 (assume @p10 (forall @t68 (=> @t67 (= (tptp.hAPP @t60 @t66) (tptp.hAPP (tptp.hAPP @t21 @t63) @t61))))) % 1.42/1.67 (assume @p11 (forall @t73 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t21 @t72) @t71) (tptp.hAPP @t70 (tptp.hAPP (tptp.hAPP @t64 @t17) @t69)))))) % 1.42/1.67 (assume @p12 (forall @t74 (=> @t39 (= (tptp.hAPP @t60 @t13) @t38)))) % 1.42/1.67 (assume @p13 (forall @t46 (=> @t50 (= (tptp.hAPP @t70 @t13) @t38)))) % 1.42/1.67 (assume @p14 (forall @t82 (=> (and @t81 (tptp.class_Rings_Omult__zero @t8) (tptp.class_Rings_Ono__zero__divisors @t8) (tptp.class_Rings_Ozero__neq__one @t8)) (= (= @t80 @t54) (and @t56 @t77))))) % 1.42/1.67 (assume @p15 (forall @t86 (=> @t50 (= (tptp.hAPP @t85 @t62) (tptp.hAPP (tptp.hAPP @t21 @t84) @t62))))) % 1.42/1.67 (assume @p16 (forall @t73 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t33 @t72) @t69) (tptp.hAPP @t70 (tptp.hAPP @t88 @t69)))))) % 1.42/1.67 (assume @p17 (forall @t68 (=> @t67 (= (tptp.hAPP @t60 @t90) (tptp.hAPP (tptp.hAPP @t33 @t63) @t32))))) % 1.42/1.67 (assume @p18 (forall @t94 (=> @t93 (= (tptp.hAPP @t92 @t43) @t17)))) % 1.42/1.67 (assume @p19 (forall @t95 (=> @t93 (= (tptp.hAPP (tptp.hAPP @t91 @t43) @t69) @t69)))) % 1.42/1.67 (assume @p20 (forall @t94 (=> @t29 (= (tptp.hAPP @t97 @t43) @t43)))) % 1.42/1.67 (assume @p21 (forall @t95 (=> @t29 (= (tptp.hAPP (tptp.hAPP @t96 @t43) @t69) @t43)))) % 1.42/1.67 (assume @p22 (forall (@list @t2 @t100 @t8) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t8 @t100 @t2) (forall @t99 (= @t4 (tptp.hAPP @t2 @t98)))))) % 1.42/1.67 (assume @p23 (forall @t112 (=> @t50 (= @t111 (tptp.hAPP @t107 (tptp.hAPP @t103 @t101)))))) % 1.42/1.67 (assume @p24 (forall @t112 (=> @t50 (= @t111 (tptp.hAPP @t108 (tptp.hAPP @t110 @t101)))))) % 1.42/1.67 (assume @p25 (forall @t112 (=> @t50 (= @t111 (tptp.hAPP @t106 (tptp.hAPP @t103 @t109)))))) % 1.42/1.67 (assume @p26 (forall @t114 (=> @t50 (= @t113 (tptp.hAPP @t107 @t102))))) % 1.42/1.67 (assume @p27 (forall @t114 (=> @t50 (= @t113 (tptp.hAPP @t106 (tptp.hAPP @t103 @t104)))))) % 1.42/1.67 (assume @p28 (forall @t116 (=> @t50 (= @t115 (tptp.hAPP @t107 @t101))))) % 1.42/1.67 (assume @p29 (forall @t116 (=> @t50 (= @t115 (tptp.hAPP @t108 (tptp.hAPP @t106 @t101)))))) % 1.42/1.67 (assume @p30 (forall @t122 (=> @t50 (= @t121 @t119)))) % 1.42/1.67 (assume @p31 (forall @t133 (=> @t50 (= (tptp.hAPP @t132 @t130) (tptp.hAPP @t128 @t125))))) % 1.42/1.67 (assume @p32 (forall @t135 (=> @t50 (= @t134 (tptp.hAPP @t128 @t117))))) % 1.42/1.67 (assume @p33 (forall @t135 (=> @t50 @t137))) % 1.42/1.67 (assume @p34 (forall @t139 (=> @t50 (= @t138 (tptp.hAPP @t128 @t123))))) % 1.42/1.67 (assume @p35 (forall @t139 (=> @t50 (= @t138 (tptp.hAPP @t129 (tptp.hAPP @t25 @t123)))))) % 1.42/1.67 (assume @p36 (forall (@list @t126 @t23 @t18) (=> @t50 (= @t127 @t140)))) % 1.42/1.67 (assume @p37 (forall (@list @t141 @t143 @t11 @t55 @t8) (=> @t14 (= (= @t58 (tptp.hAPP (tptp.hAPP @t57 @t143) @t141)) (and @t144 @t142))))) % 1.42/1.67 (assume @p38 (forall @t148 (=> @t147 (= (= @t145 (tptp.c_Polynomial_Opoly @t8 @t141)) @t142)))) % 1.42/1.67 (assume @p39 (forall @t74 (=> @t50 @t149))) % 1.42/1.67 (assume @p40 (forall @t74 (=> @t50 @t151))) % 1.42/1.67 (assume @p41 (forall @t156 (=> @t155 (= (= @t143 @t154) @t56)))) % 1.42/1.67 (assume @p42 (forall @t74 (=> @t50 @t157))) % 1.42/1.67 (assume @p43 (forall @t74 (=> @t50 @t158))) % 1.42/1.67 (assume @p44 (forall (@list @t159 @t161 @t160 @t162 @t8) (=> @t155 (= (= (tptp.hAPP (tptp.hAPP @t152 @t167) @t166) (tptp.hAPP (tptp.hAPP @t152 (tptp.hAPP @t165 @t159)) (tptp.hAPP @t164 @t160))) (or (= @t162 @t161) (= @t160 @t159)))))) % 1.42/1.67 (assume @p45 (forall (@list @t117 @t62 @t23 @t18) (=> @t50 (= (tptp.hAPP @t170 (tptp.hAPP @t118 @t62)) (tptp.hAPP @t168 @t62))))) % 1.42/1.67 (assume @p46 (forall @t135 (=> @t50 @t173))) % 1.42/1.67 (assume @p47 (forall @t182 (=> @t155 (= (and (not @t144) (not @t181)) (not (= (tptp.hAPP (tptp.hAPP @t152 @t180) (tptp.hAPP @t175 @t177)) (tptp.hAPP (tptp.hAPP @t152 @t179) @t176))))))) % 1.42/1.67 (assume @p48 (forall @t187 (=> @t50 (= (tptp.hAPP @t22 (tptp.hAPP (tptp.hAPP @t24 @t185) @t183)) (tptp.hAPP (tptp.hAPP @t24 @t186) @t184))))) % 1.42/1.67 (assume @p49 (forall @t74 (=> @t50 @t188))) % 1.42/1.67 (assume @p50 (forall @t74 (=> @t50 @t189))) % 1.42/1.67 (assume @p51 (forall @t192 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t18) (=> @t191 (not (= @t61 @t31)))))) % 1.42/1.67 (assume @p52 (forall (@list @t69 @t185 @t16 @t18) (=> @t50 (= (tptp.hAPP (tptp.hAPP @t33 @t186) @t69) (tptp.hAPP @t194 (tptp.hAPP @t193 @t69)))))) % 1.42/1.67 (assume @p53 (forall @t198 (=> @t197 (= (tptp.hAPP (tptp.hAPP @t33 @t121) @t32) (tptp.hAPP @t196 @t195))))) % 1.42/1.67 (assume @p54 (forall @t192 (=> @t67 (= @t200 @t199)))) % 1.42/1.67 (assume @p55 (forall @t41 (=> @t67 (= (tptp.hAPP (tptp.hAPP @t33 @t38) @t32) @t38)))) % 1.42/1.67 (assume @p56 (forall @t46 (=> @t50 (= (tptp.hAPP @t70 @t201) @t16)))) % 1.42/1.67 (assume @p57 (forall @t74 (=> @t67 (= (tptp.hAPP @t60 @t201) @t23)))) % 1.42/1.67 (assume @p58 (forall @t205 (=> @t93 (= (tptp.hAPP (tptp.hAPP @t91 @t28) @t204) (tptp.hAPP (tptp.hAPP @t26 @t131) @t202))))) % 1.42/1.67 (assume @p59 (forall @t208 (=> @t29 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t207) @t16) (tptp.hAPP (tptp.hAPP @t21 @t20) @t206))))) % 1.42/1.67 (assume @p60 (forall @t208 (=> @t29 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t202) @t16) (tptp.hAPP (tptp.hAPP @t24 @t20) @t206))))) % 1.42/1.67 (assume @p61 (forall @t46 (=> @t50 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t49) @t16) @t38)))) % 1.42/1.67 (assume @p62 (forall (@list @t16 @t32 @t17 @t18) (=> @t50 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 (tptp.hAPP (tptp.hAPP @t209 @t17) @t32)) @t16) (tptp.hAPP (tptp.hAPP @t33 @t20) @t32))))) % 1.42/1.67 (assume @p63 (forall @t15 (=> @t147 (= (= @t145 (tptp.c_Polynomial_Opoly @t8 @t10)) @t12)))) % 1.42/1.67 (assume @p64 (forall (@list @t123 @t126 @t117 @t23 @t210 @t18) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t18) (=> (not (= @t210 @t31)) (=> (and @t212 (not (= @t126 @t123))) (not (= (tptp.hAPP @t25 (tptp.hAPP @t211 @t126)) (tptp.hAPP @t124 (tptp.hAPP @t211 @t123))))))))) % 1.42/1.67 (assume @p65 (forall (@list @t62 @t23 @t18) (=> @t50 (= (tptp.hAPP @t170 @t62) @t214)))) % 1.42/1.67 (assume @p66 (forall (@list @t23 @t62 @t18) (=> @t50 (= (tptp.hAPP @t85 @t169) @t214)))) % 1.42/1.67 (assume @p67 (=> @t7 @t218)) % 1.42/1.67 (assume @p68 (forall @t224 (=> @t223 (= (= @t222 @t54) (and @t220 @t219))))) % 1.42/1.67 (assume @p69 (forall (@list @t55 @t11 @t8) (=> @t146 (= (= (tptp.hAPP @t145 @t55) @t54) (or @t12 (not (= @t225 @t13))))))) % 1.42/1.67 (assume @p70 (forall @t227 (=> @t81 (= @t78 (tptp.c_Power_Opower_Opower @t8 @t226 @t163))))) % 1.42/1.67 (assume @p71 (forall @t229 (=> (= @t62 @t90) (or (= @t32 @t201) @t228)))) % 1.42/1.67 (assume @p72 (forall @t229 (=> (= @t66 @t62) @t36))) % 1.42/1.67 (assume @p73 (forall @t234 (= (= @t233 @t13) (and @t231 @t76)))) % 1.42/1.67 (assume @p74 (forall @t235 (= (tptp.hAPP @t65 @t13) @t62))) % 1.42/1.67 (assume @p75 (forall @t236 (= (tptp.hAPP (tptp.hAPP @t64 @t13) @t32) @t32))) % 1.42/1.67 (assume @p76 (forall @t74 (=> @t197 @t188))) % 1.42/1.67 (assume @p77 (forall @t74 (=> @t67 @t188))) % 1.42/1.67 (assume @p78 (forall @t74 (=> @t197 @t189))) % 1.42/1.67 (assume @p79 (forall @t229 (= @t90 @t238))) % 1.42/1.67 (assume @p80 (forall @t241 (= (tptp.hAPP (tptp.hAPP @t87 @t90) @t239) (tptp.hAPP @t89 @t240)))) % 1.42/1.67 (assume @p81 (forall (@list @t210 @t69 @t17 @t18) (=> @t29 (= (tptp.hAPP (tptp.hAPP @t96 @t202) @t210) (tptp.hAPP (tptp.hAPP @t91 (tptp.hAPP @t97 @t210)) (tptp.hAPP @t242 @t210)))))) % 1.42/1.67 (assume @p82 (forall (@list @t55 @t244 @t243 @t8) (= (tptp.hAPP @t245 @t13) @t243))) % 1.42/1.67 (assume @p83 (forall @t246 (=> @t14 (= (= @t54 @t161) @t220)))) % 1.42/1.67 (assume @p84 (forall @t135 (=> (tptp.class_Groups_Oab__semigroup__mult @t18) (= (tptp.hAPP (tptp.hAPP @t21 @t121) @t126) (tptp.hAPP @t120 @t171))))) % 1.42/1.67 (assume @p85 (forall @t135 (=> (tptp.class_Groups_Oab__semigroup__add @t18) @t137))) % 1.42/1.67 (assume @p86 (forall @t252 (=> @t251 (= (= @t250 @t249) @t247)))) % 1.42/1.67 (assume @p87 (forall (@list @t174 @t55 @t143 @t8) (=> @t251 (= (= @t154 @t254) @t247)))) % 1.42/1.67 (assume @p88 (forall @t135 (=> @t257 @t256))) % 1.42/1.67 (assume @p89 (forall @t135 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t18) @t256))) % 1.42/1.67 (assume @p90 (forall @t259 (=> @t257 (=> (= @t258 @t140) @t255)))) % 1.42/1.67 (assume @p91 (forall @t246 (=> (tptp.class_Groups_Oone @t8) (= (= @t226 @t161) @t260)))) % 1.42/1.67 (assume @p92 (forall @t236 (= (tptp.hAPP (tptp.hAPP @t87 @t13) @t32) @t13))) % 1.42/1.67 (assume @p93 (forall @t235 (= (tptp.hAPP @t89 @t13) @t13))) % 1.42/1.67 (assume @p94 (forall @t234 (= (= @t262 @t13) (or @t231 @t76)))) % 1.42/1.67 (assume @p95 (forall @t271 (= @t270 @t266))) % 1.42/1.67 (assume @p96 (forall @t275 (= (= @t274 @t273) @t266))) % 1.42/1.67 (assume @p97 (forall @t229 (= @t66 @t277))) % 1.42/1.67 (assume @p98 (forall @t281 (= (tptp.hAPP @t278 @t280) (tptp.hAPP @t279 (tptp.hAPP @t278 @t183))))) % 1.42/1.67 (assume @p99 (forall @t241 (= (tptp.hAPP (tptp.hAPP @t64 @t66) @t239) (tptp.hAPP @t65 @t282)))) % 1.42/1.67 (assume @p100 (forall @t271 (= (= @t285 @t284) @t265))) % 1.42/1.67 (assume @p101 (forall @t275 (= (= (tptp.hAPP @t232 @t263) @t286) @t265))) % 1.42/1.67 (assume @p102 (forall @t290 (= (tptp.hAPP @t287 @t66) (tptp.hAPP (tptp.hAPP @t64 @t289) @t288)))) % 1.42/1.67 (assume @p103 (forall @t241 (= (tptp.hAPP (tptp.hAPP @t87 @t66) @t239) (tptp.hAPP (tptp.hAPP @t64 @t291) @t240)))) % 1.42/1.67 (assume @p104 (forall @t236 (= (tptp.hAPP (tptp.hAPP @t87 @t201) @t32) @t32))) % 1.42/1.67 (assume @p105 (forall @t234 (= (= @t201 @t262) @t294))) % 1.42/1.67 (assume @p106 (forall @t236 (= (tptp.hAPP @t237 @t201) @t32))) % 1.42/1.67 (assume @p107 (forall @t234 (= (= @t262 @t201) @t294))) % 1.42/1.67 (assume @p108 (forall @t74 (=> @t295 @t158))) % 1.42/1.67 (assume @p109 (forall @t74 (=> @t93 @t158))) % 1.42/1.67 (assume @p110 (forall @t298 (=> @t297 (= (= @t54 @t296) @t56)))) % 1.42/1.67 (assume @p111 (forall @t74 (=> @t295 @t157))) % 1.42/1.67 (assume @p112 (forall @t74 (=> @t93 @t157))) % 1.42/1.67 (assume @p113 (forall @t74 (=> @t67 @t189))) % 1.42/1.67 (assume @p114 (forall @t301 (=> @t29 (= (tptp.c_Polynomial_Opcompose @t18 @t28 @t69) (tptp.hAPP (tptp.hAPP @t91 @t300) (tptp.hAPP @t242 @t299)))))) % 1.42/1.67 (assume @p115 (forall (@list @t239 @t303 @t302 @t304) (= (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t308 @t302)) (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t307 @t302)) @t239)) (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP (tptp.hAPP @t87 @t306) @t302)) @t239)))) % 1.42/1.67 (assume @p116 (forall @t271 (= @t270 (or @t264 @t265)))) % 1.42/1.67 (assume @p117 (forall @t313 (=> @t312 (= (tptp.hAPP @t120 (tptp.hAPP @t124 @t309)) (tptp.hAPP @t311 @t310))))) % 1.42/1.67 (assume @p118 (forall @t320 (=> @t312 (= (tptp.hAPP @t315 @t319) (tptp.hAPP (tptp.hAPP @t24 @t317) @t316))))) % 1.42/1.67 (assume @p119 (forall @t135 (=> (tptp.class_Rings_Ocomm__semiring @t18) @t173))) % 1.42/1.67 (assume @p120 (forall @t324 (=> @t312 (= (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP @t25 @t321)) @t117) (tptp.hAPP @t311 @t323))))) % 1.42/1.67 (assume @p121 (forall @t329 (=> @t312 (= (tptp.hAPP (tptp.hAPP @t21 @t319) @t325) (tptp.hAPP (tptp.hAPP @t24 @t328) @t327))))) % 1.42/1.67 (assume @p122 (forall (@list @t126 @t117 @t330 @t23 @t18) (=> (tptp.class_Rings_Osemiring @t18) (= (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t120 @t330)) (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t118 @t330)) @t126)) (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t168 @t330)) @t126))))) % 1.42/1.67 (assume @p123 (forall (@list @t16 @t17 @t32 @t18) (=> @t332 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 (tptp.hAPP (tptp.hAPP @t96 (tptp.c_Polynomial_Omonom @t18 @t38 @t32)) @t17)) @t16) (tptp.hAPP (tptp.hAPP @t21 @t331) @t20))))) % 1.42/1.67 (assume @p124 (forall (@list @t143 @t75 @t55 @t8) (=> @t14 (= (= @t333 (tptp.c_Polynomial_Omonom @t8 @t143 @t75)) @t144)))) % 1.42/1.67 (assume @p125 (forall @t82 (=> @t14 (= (= @t333 @t10) @t56)))) % 1.42/1.67 (assume @p126 (forall @t41 (=> @t53 (= (tptp.c_Polynomial_Omonom @t18 @t31 @t32) @t43)))) % 1.42/1.67 (assume @p127 (forall @t95 (=> @t29 (= (tptp.c_Polynomial_Opcompose @t18 @t43 @t69) @t43)))) % 1.42/1.67 (assume @p128 (forall @t336 (=> @t93 (= (tptp.hAPP (tptp.hAPP @t91 @t335) @t334) (tptp.c_Polynomial_Omonom @t18 @t131 @t32))))) % 1.42/1.67 (assume @p129 (forall @t208 (=> @t29 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t299) @t16) (tptp.hAPP @t19 @t206))))) % 1.42/1.67 (assume @p130 (forall (@list @t16 @t32 @t23 @t18) (=> @t50 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t335) @t16) (tptp.hAPP @t120 @t331))))) % 1.42/1.67 (assume @p131 (forall @t74 (=> @t53 (= (tptp.c_Polynomial_Omonom @t18 @t23 @t13) @t300)))) % 1.42/1.67 (assume @p132 (forall (@list @t32 @t117 @t62 @t23 @t18) (=> @t29 (= (tptp.hAPP (tptp.hAPP @t96 @t337) @t334) (tptp.c_Polynomial_Omonom @t18 @t121 @t66))))) % 1.42/1.67 (assume @p133 (forall @t122 (=> @t340 (=> @t339 (or @t190 @t338))))) % 1.42/1.67 (assume @p134 (forall @t122 (=> @t340 (=> @t191 (=> @t341 (not @t339)))))) % 1.42/1.67 (assume @p135 (forall @t343 (=> (tptp.class_Rings_Oring__no__zero__divisors @t8) (= (= (tptp.hAPP @t178 @t143) @t54) (or @t56 @t342))))) % 1.42/1.67 (assume @p136 (forall @t46 (=> @t312 (= (tptp.hAPP @t22 @t31) @t31)))) % 1.42/1.67 (assume @p137 (forall @t74 (=> @t312 @t149))) % 1.42/1.67 (assume @p138 (forall @t74 (=> @t344 @t149))) % 1.42/1.67 (assume @p139 (forall @t345 (=> @t312 (= (tptp.hAPP @t150 @t185) @t31)))) % 1.42/1.67 (assume @p140 (forall (@list @t117 @t18) (=> @t312 (= (tptp.hAPP @t150 @t117) @t31)))) % 1.42/1.67 (assume @p141 (forall @t74 (=> @t344 @t151))) % 1.42/1.67 (assume @p142 (forall @t51 (=> @t346 (not (= @t31 @t38))))) % 1.42/1.67 (assume @p143 (forall @t51 (=> @t346 (not (= @t38 @t31))))) % 1.42/1.67 (assume @p144 (forall @t148 (=> @t354 (= (tptp.c_Polynomial_Opcompose @t8 @t11 @t141) (tptp.c_Polynomial_Opoly__rec @t9 @t8 @t10 (tptp.hAPP @t353 (tptp.hAPP (tptp.c_COMBC @t8 @t350 @t350 (tptp.hAPP @t352 (tptp.hAPP @t351 (tptp.hAPP (tptp.c_COMBC @t8 @t9 @t9 @t57) @t10)))) @t348)) @t11))))) % 1.42/1.67 (assume @p145 (forall @t298 (=> @t297 (= (= @t296 @t54) @t56)))) % 1.42/1.67 (assume @p146 (forall (@list @t11 @t55 @t8 @t159 @t2 @t100) (=> @t360 (=> @t359 (= @t357 (tptp.hAPP @t356 @t355)))))) % 1.42/1.67 (assume @p147 (forall @t192 (=> @t50 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t361) @t32) @t38)))) % 1.42/1.67 (assume @p148 (forall (@list @t11 @t55 @t2 @t159 @t8 @t100) (=> @t360 (= @t357 (tptp.hAPP @t356 (tptp.hAPP (tptp.hAPP (tptp.hAPP @t362 (tptp.hAPP (tptp.c_fequal @t11) @t358)) @t159) @t355)))))) % 1.42/1.67 (assume @p149 (forall @t301 (=> @t29 (= (tptp.hAPP (tptp.hAPP @t96 @t28) @t69) (tptp.hAPP (tptp.hAPP @t91 @t366) @t363))))) % 1.42/1.67 (assume @p150 (forall @t369 (=> @t29 (= (tptp.hAPP @t97 (tptp.hAPP @t27 @t69)) (tptp.hAPP @t368 @t363))))) % 1.42/1.67 (assume @p151 (forall @t41 (=> @t50 (and (=> @t36 (= @t370 @t38)) (=> @t37 (= @t370 @t31)))))) % 1.42/1.67 (assume @p152 (forall (@list @t371 @t23 @t18) (=> @t29 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t18 @t300 @t371) @t300)))) % 1.42/1.67 (assume @p153 (forall @t148 (=> @t14 (= @t142 (forall @t375 (= (tptp.hAPP @t374 @t372) (tptp.hAPP @t373 @t372))))))) % 1.42/1.67 (assume @p154 (forall @t224 (=> @t14 (= (= @t377 (tptp.c_Polynomial_Ocoeff @t8 @t160)) @t376)))) % 1.42/1.67 (assume @p155 (forall @t380 (=> @t29 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t367) @t32) (tptp.hAPP @t120 @t379))))) % 1.42/1.67 (assume @p156 (forall @t383 (=> @t29 (= (tptp.hAPP @t365 @t382) (tptp.hAPP (tptp.hAPP @t364 @t121) @t17))))) % 1.42/1.67 (assume @p157 (forall @t94 (=> @t50 (= (tptp.hAPP (tptp.hAPP @t364 @t38) @t17) @t17)))) % 1.42/1.67 (assume @p158 (forall @t74 (=> @t29 (= (tptp.hAPP @t365 @t43) @t43)))) % 1.42/1.67 (assume @p159 (forall @t301 (=> @t29 (= (tptp.hAPP @t365 @t202) (tptp.hAPP @t368 @t366))))) % 1.42/1.67 (assume @p160 (forall @t369 (=> @t29 (= (tptp.hAPP @t97 @t366) @t384)))) % 1.42/1.67 (assume @p161 (forall @t301 (=> @t29 (= (tptp.hAPP (tptp.hAPP @t96 @t367) @t69) @t384)))) % 1.42/1.67 (assume @p162 (forall (@list @t371 @t17 @t23 @t18) (=> @t29 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t18 @t28 @t371) (tptp.hAPP (tptp.hAPP @t91 (tptp.hAPP (tptp.hAPP @t364 @t371) @t385)) (tptp.hAPP @t27 @t385)))))) % 1.42/1.67 (assume @p163 (forall @t389 (=> @t354 (= @t388 (tptp.c_Polynomial_Opoly__rec @t9 @t8 @t10 (tptp.hAPP @t353 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t350 @t350 @t8) (tptp.hAPP (tptp.c_COMBS @t9 @t9 @t9) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t9 @t350 @t9) @t349) (tptp.hAPP @t387 @t386)))) @t57)) @t11))))) % 1.42/1.67 (assume @p164 (forall @t41 (=> @t53 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t43) @t32) @t31)))) % 1.42/1.67 (assume @p165 (forall @t94 (=> @t29 (= (tptp.hAPP (tptp.hAPP @t364 @t31) @t17) @t43)))) % 1.42/1.67 (assume @p166 (forall @t59 (=> @t146 (= (= @t391 @t10) (or @t56 @t12))))) % 1.42/1.67 (assume @p167 (forall @t383 (=> @t29 (= (tptp.hAPP @t365 (tptp.hAPP @t203 @t17)) (tptp.hAPP (tptp.hAPP @t26 @t121) @t367))))) % 1.42/1.67 (assume @p168 (forall @t393 (=> @t53 (= (tptp.hAPP @t392 @t13) @t23)))) % 1.42/1.67 (assume @p169 (forall @t30 (=> @t29 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t367) @t16) (tptp.hAPP @t120 @t20))))) % 1.42/1.67 (assume @p170 (forall @t397 (=> @t29 (=> (= @t396 @t28) @t394)))) % 1.42/1.67 (assume @p171 (forall (@list @t23 @t32 @t62 @t18) (=> @t53 (and (=> @t399 (= @t398 @t23)) (=> @t400 (= @t398 @t31)))))) % 1.42/1.67 (assume @p172 (forall @t403 (=> @t93 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t202) @t32) (tptp.hAPP (tptp.hAPP @t24 @t379) @t402))))) % 1.42/1.67 (assume @p173 (forall @t383 (=> @t29 (= (tptp.hAPP (tptp.hAPP @t364 @t131) @t17) (tptp.hAPP @t368 @t382))))) % 1.42/1.67 (assume @p174 (forall @t198 (=> @t29 (= (tptp.hAPP @t365 @t334) (tptp.c_Polynomial_Omonom @t18 @t121 @t32))))) % 1.42/1.67 (assume @p175 (forall (@list @t371 @t18) (=> @t29 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t18 @t43 @t371) @t43)))) % 1.42/1.67 (assume @p176 (forall @t389 (=> @t354 (= (= @t388 @t10) @t12)))) % 1.42/1.67 (assume @p177 (forall @t281 (= (tptp.hAPP @t405 @t280) (tptp.hAPP (tptp.hAPP @t407 @t406) (tptp.hAPP @t405 @t183))))) % 1.42/1.67 (assume @p178 (forall @t397 (=> @t29 (=> (= (tptp.hAPP (tptp.hAPP @t91 @t396) @t28) @t43) @t394)))) % 1.42/1.67 (assume @p179 (forall @t281 (= (tptp.hAPP (tptp.hAPP @t404 @t406) @t183) (tptp.hAPP @t405 (tptp.hAPP (tptp.hAPP @t87 @t185) @t183))))) % 1.42/1.67 (assume @p180 (forall @t148 (=> @t354 (= (tptp.hAPP (tptp.hAPP @t347 @t11) @t141) (tptp.c_Polynomial_Opoly__rec @t9 @t8 @t10 (tptp.hAPP @t353 (tptp.hAPP (tptp.c_COMBC @t8 @t350 @t350 (tptp.hAPP @t352 (tptp.hAPP @t351 (tptp.hAPP (tptp.c_COMBC @t8 @t9 @t9 @t387) @t141)))) (tptp.hAPP @t57 @t54))) @t11))))) % 1.42/1.67 (assume @p181 (forall (@list @t16 @t371 @t17 @t18) (=> @t29 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t385) @t16) (tptp.hAPP @t19 (tptp.hAPP (tptp.hAPP @t24 @t371) @t16)))))) % 1.42/1.67 (assume @p182 (forall (@list @t8 @t159 @t2 @t100) (=> @t360 (=> @t359 (= (tptp.c_Polynomial_Opoly__rec @t8 @t100 @t159 @t2 @t358) @t159))))) % 1.42/1.67 (assume @p183 (forall @t412 (=> @t29 (= (tptp.hAPP @t92 (tptp.hAPP @t395 @t408)) @t411)))) % 1.42/1.67 (assume @p184 (forall (@list @t210 @t69 @t126 @t17 @t18) (=> @t29 (=> (= (tptp.hAPP @t92 (tptp.hAPP @t395 @t69)) (tptp.hAPP (tptp.hAPP @t26 @t210) @t69)) (and (= @t210 @t409) (= @t69 @t408)))))) % 1.42/1.67 (assume @p185 (forall @t148 (=> (tptp.class_Groups_Ocomm__monoid__add @t8) (= (tptp.hAPP (tptp.hAPP @t349 @t11) @t141) (tptp.c_Polynomial_OAbs__poly @t8 (tptp.hAPP (tptp.hAPP @t415 (tptp.hAPP (tptp.hAPP @t414 @t152) @t374)) @t373)))))) % 1.42/1.67 (assume @p186 (forall @t59 (=> @t354 (= @t391 (tptp.c_Polynomial_OAbs__poly @t8 (tptp.hAPP (tptp.hAPP @t416 @t178) @t374)))))) % 1.42/1.67 (assume @p187 (forall (@list @t126 @t17 @t23 @t18) (=> @t29 (= (tptp.c_Polynomial_Osynthetic__div @t18 @t28 @t126) @t411)))) % 1.42/1.67 (assume @p188 (forall @t192 (=> @t50 (= (tptp.c_Polynomial_Odegree @t18 @t361) @t32)))) % 1.42/1.67 (assume @p189 (forall @t59 (=> @t14 (= (tptp.c_Polynomial_Ocoeff @t8 @t58) @t417)))) % 1.42/1.67 (assume @p190 (forall @t229 (and (=> @t228 (= @t90 @t13)) (=> @t421 (= @t90 (tptp.hAPP @t276 (tptp.hAPP (tptp.hAPP @t87 @t420) @t32))))))) % 1.42/1.67 (assume @p191 (forall @t403 (=> @t426 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t425) @t32) (tptp.hAPP (tptp.hAPP @t422 @t379) @t402))))) % 1.42/1.67 (assume @p192 (forall @t383 (=> @t430 (= (tptp.hAPP (tptp.hAPP @t364 @t429) @t17) (tptp.hAPP @t427 @t382))))) % 1.42/1.67 (assume @p193 (forall @t441 (= (tptp.hAPP (tptp.hAPP @t407 @t440) @t431) (tptp.hAPP (tptp.hAPP @t438 @t437) @t434)))) % 1.42/1.67 (assume @p194 (forall @t443 (= (tptp.hAPP (tptp.hAPP @t407 (tptp.hAPP @t436 @t432)) @t442) (tptp.hAPP @t436 (tptp.hAPP @t433 @t442))))) % 1.42/1.67 (assume @p195 (forall @t447 (= (tptp.hAPP @t444 @t440) (tptp.hAPP (tptp.hAPP @t438 @t446) @t445)))) % 1.42/1.67 (assume @p196 (forall @t450 (= @t449 (tptp.hAPP @t444 @t183)))) % 1.42/1.67 (assume @p197 (forall @t148 (=> @t453 (= (tptp.hAPP (tptp.hAPP @t452 @t11) @t141) (tptp.c_Polynomial_OAbs__poly @t8 (tptp.hAPP (tptp.hAPP @t415 (tptp.hAPP (tptp.hAPP @t414 @t451) @t374)) @t373)))))) % 1.42/1.67 (assume @p198 (forall @t455 (= (tptp.hAPP @t448 @t454) @t183))) % 1.42/1.67 (assume @p199 (forall @t455 (= (tptp.hAPP (tptp.hAPP @t407 @t454) @t183) @t183))) % 1.42/1.67 (assume @p200 (forall @t182 (=> @t453 (=> @t457 (= @t144 @t181))))) % 1.42/1.67 (assume @p201 (forall @t460 (= @t459 (tptp.hAPP (tptp.hAPP @t418 (tptp.hAPP @t458 @t239)) @t303)))) % 1.42/1.67 (assume @p202 (forall @t412 (=> @t29 (= (tptp.c_Polynomial_Odegree @t18 @t408) (tptp.hAPP (tptp.hAPP @t418 @t461) @t201))))) % 1.42/1.67 (assume @p203 (forall @t208 (=> @t430 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t425) @t16) (tptp.hAPP (tptp.hAPP @t422 @t20) @t206))))) % 1.42/1.67 (assume @p204 (forall @t205 (=> @t426 (= (tptp.hAPP (tptp.hAPP @t423 @t28) @t204) (tptp.hAPP (tptp.hAPP @t26 @t429) @t425))))) % 1.42/1.67 (assume @p205 (forall @t336 (=> @t426 (= (tptp.hAPP (tptp.hAPP @t423 @t335) @t334) (tptp.c_Polynomial_Omonom @t18 @t429 @t32))))) % 1.42/1.67 (assume @p206 (forall @t343 (=> @t463 (= @t462 @t144)))) % 1.42/1.67 (assume @p207 (forall @t343 (=> @t453 (= @t144 @t462)))) % 1.42/1.67 (assume @p208 (forall @t74 (=> @t464 (= (tptp.hAPP @t428 @t23) @t31)))) % 1.42/1.67 (assume @p209 (forall @t74 (=> @t464 (= (tptp.hAPP @t428 @t31) @t23)))) % 1.42/1.67 (assume @p210 (forall @t329 (=> @t312 (= (tptp.hAPP @t467 @t325) (tptp.hAPP (tptp.hAPP @t422 @t328) @t327))))) % 1.42/1.67 (assume @p211 (forall @t324 (=> @t312 (= (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP @t428 @t321)) @t117) (tptp.hAPP @t468 @t323))))) % 1.42/1.67 (assume @p212 (forall @t320 (=> @t312 (= (tptp.hAPP @t315 @t466) (tptp.hAPP (tptp.hAPP @t422 @t317) @t316))))) % 1.42/1.67 (assume @p213 (forall @t313 (=> @t312 (= (tptp.hAPP @t120 (tptp.hAPP @t469 @t309)) (tptp.hAPP @t468 @t310))))) % 1.42/1.67 (assume @p214 (forall @t122 (=> @t464 (= (tptp.hAPP (tptp.hAPP @t422 @t131) @t117) @t23)))) % 1.42/1.67 (assume @p215 (forall @t122 (=> @t464 (= (tptp.hAPP @t470 @t117) @t23)))) % 1.42/1.67 (assume @p216 (forall @t229 (=> (= @t472 @t13) (=> (= (tptp.hAPP @t471 @t62) @t13) @t399)))) % 1.42/1.67 (assume @p217 (forall @t235 (= (tptp.hAPP @t419 @t62) @t13))) % 1.42/1.67 (assume @p218 (forall @t235 (= (tptp.hAPP @t419 @t13) @t62))) % 1.42/1.67 (assume @p219 (forall @t236 (= (tptp.hAPP (tptp.hAPP @t418 @t13) @t32) @t13))) % 1.42/1.67 (assume @p220 (forall (@list @t32 @t239 @t62) (= (tptp.hAPP (tptp.hAPP @t418 (tptp.hAPP @t65 @t239)) @t282) @t472))) % 1.42/1.67 (assume @p221 (forall @t290 (= (tptp.hAPP (tptp.hAPP @t418 (tptp.hAPP @t473 @t62)) @t474) @t472))) % 1.42/1.67 (assume @p222 (forall @t460 (= @t459 (tptp.hAPP @t458 @t476)))) % 1.42/1.67 (assume @p223 (forall @t477 (= (tptp.hAPP (tptp.hAPP @t418 @t277) @t32) @t62))) % 1.42/1.67 (assume @p224 (forall @t229 (= (tptp.hAPP (tptp.hAPP @t418 @t66) @t32) @t62))) % 1.42/1.67 (assume @p225 (forall @t241 (= (tptp.hAPP (tptp.hAPP @t87 @t472) @t239) (tptp.hAPP (tptp.hAPP @t418 @t291) @t240)))) % 1.42/1.67 (assume @p226 (forall @t290 (= (tptp.hAPP @t287 @t472) (tptp.hAPP (tptp.hAPP @t418 @t289) @t288)))) % 1.42/1.67 (assume @p227 (forall @t479 (=> @t354 (= (= (tptp.c_Polynomial_Osynthetic__div @t8 @t11 @t174) @t10) (= @t478 @t13))))) % 1.42/1.67 (assume @p228 (forall (@list @t371 @t17 @t18) (=> @t29 (= (tptp.c_Polynomial_Odegree @t18 @t385) @t461)))) % 1.42/1.67 (assume @p229 (forall @t59 (=> @t14 (= @t58 (tptp.c_Polynomial_OAbs__poly @t8 @t417))))) % 1.42/1.67 (assume @p230 (forall @t246 (=> @t14 (= (tptp.c_Polynomial_OAbs__poly @t8 @t377) @t161)))) % 1.42/1.67 (assume @p231 (forall @t51 (=> @t53 (= (tptp.c_Polynomial_Odegree @t18 @t43) @t13)))) % 1.42/1.67 (assume @p232 (forall @t486 (=> @t485 (= @t484 (= @t481 @t177))))) % 1.42/1.67 (assume @p233 (forall @t486 (=> @t485 (= @t484 (= @t174 @t487))))) % 1.42/1.67 (assume @p234 (forall @t493 (=> @t312 (= @t492 (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t490 @t489)) @t491)) (tptp.hAPP @t120 @t489)))))) % 1.42/1.67 (assume @p235 (forall @t192 (=> @t53 (=> @t191 (= (tptp.c_Polynomial_Odegree @t18 @t335) @t32))))) % 1.42/1.67 (assume @p236 (forall @t477 (= (tptp.hAPP @t471 @t277) @t13))) % 1.42/1.67 (assume @p237 (forall (@list @t495 @t494 @t8) (= (tptp.hAPP @t496 @t13) @t494))) % 1.42/1.67 (assume @p238 (forall @t51 (=> @t50 (= (tptp.c_Polynomial_Odegree @t18 @t49) @t13)))) % 1.42/1.67 (assume @p239 (forall (@list @t126 @t18) (=> @t29 (= (tptp.c_Polynomial_Osynthetic__div @t18 @t43 @t126) @t43)))) % 1.42/1.67 (assume @p240 (forall @t393 (=> @t498 (and (=> @t190 (= @t497 @t13)) (=> @t191 (= @t497 @t461)))))) % 1.42/1.67 (assume @p241 (forall @t94 (=> @t53 (=> @t500 (not (= @t499 @t31)))))) % 1.42/1.67 (assume @p242 (forall @t15 (=> @t14 (= (= @t501 @t54) @t12)))) % 1.42/1.67 (assume @p243 (forall @t74 (=> @t53 (= (tptp.c_Polynomial_Odegree @t18 @t300) @t13)))) % 1.42/1.67 (assume @p244 (forall @t504 (=> @t498 (=> @t500 (=> (not (= @t69 @t43)) (= (tptp.c_Polynomial_Odegree @t18 @t207) @t503)))))) % 1.42/1.67 (assume @p245 (forall (@list @t17 @t62) (and (=> @t228 (= @t507 @t201)) (=> @t421 (= @t507 (tptp.hAPP @t88 (tptp.hAPP @t506 @t420))))))) % 1.42/1.67 (assume @p246 (forall @t227 (=> @t14 (= @t10 (tptp.c_Polynomial_OAbs__poly @t8 (tptp.hAPP (tptp.c_COMBK @t8 tptp.tc_Nat_Onat) @t54)))))) % 1.42/1.67 (assume @p247 (forall @t504 (=> @t29 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t207) @t503) (tptp.hAPP (tptp.hAPP @t21 @t499) @t508))))) % 1.42/1.67 (assume @p248 (forall (@list @t230 @t55 @t8) (=> @t14 (= (tptp.c_Polynomial_Omonom @t8 @t55 @t230) (tptp.c_Polynomial_OAbs__poly @t8 (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t8 @t8 (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t8 @t413 (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_HOL_Obool (tptp.tc_fun @t8 @t413) tptp.tc_Nat_Onat) @t362) (tptp.c_fequal @t230))) @t55)) @t54)))))) % 1.42/1.67 (assume @p249 (forall (@list @t62 @t32 @t18) (=> @t39 (and (=> @t36 (= @t512 @t38)) (=> @t37 (= @t512 (tptp.hAPP @t511 (tptp.hAPP @t510 @t509)))))))) % 1.42/1.67 (assume @p250 (forall @t46 (=> @t514 (= (tptp.hAPP (tptp.hAPP @t422 @t513) @t38) (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP @t318 @t38)) (tptp.hAPP @t465 @t38)))))) % 1.42/1.67 (assume @p251 (forall @t493 (=> @t515 (= @t492 (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t22 @t489)) @t491))))) % 1.42/1.67 (assume @p252 (forall (@list @t17 @t126 @t18) (=> @t332 (= (tptp.hAPP (tptp.hAPP @t91 (tptp.hAPP (tptp.hAPP @t96 (tptp.hAPP (tptp.hAPP @t26 (tptp.hAPP @t516 @t126)) @t48)) @t408)) (tptp.hAPP @t410 @t43)) @t17)))) % 1.42/1.67 (assume @p253 (forall (@list @t123 @t117 @t126 @t23 @t18) (=> @t426 (= (tptp.hAPP (tptp.hAPP @t422 @t127) @t125) (tptp.hAPP @t470 (tptp.hAPP (tptp.hAPP @t422 @t126) @t123)))))) % 1.42/1.67 (assume @p254 (forall @t524 (=> @t523 (and (=> @t521 (= @t518 @t31)) (=> @t522 (= @t518 @t38)))))) % 1.42/1.67 (assume @p255 (forall @t94 (=> @t53 (and (=> @t394 (= @t526 @t13)) (=> @t500 (= @t526 @t525)))))) % 1.42/1.67 (assume @p256 (forall (@list @t161 @t527 @t528 @t100 @t8) (=> (tptp.class_Groups_Ominus @t8) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t530) @t528) @t527) @t161) (tptp.hAPP (tptp.hAPP @t451 @t529) (tptp.hAPP @t527 @t161)))))) % 1.42/1.67 (assume @p257 (forall @t450 (= @t536 @t532))) % 1.42/1.67 (assume @p258 (forall @t450 (= @t532 @t536))) % 1.42/1.67 (assume @p259 (forall @t95 (=> @t426 (= (tptp.hAPP (tptp.hAPP @t423 @t43) @t69) (tptp.hAPP @t537 @t69))))) % 1.42/1.67 (assume @p260 (forall @t224 (=> @t146 (= (= (tptp.hAPP (tptp.hAPP @t78 @t161) @t541) (tptp.hAPP (tptp.hAPP @t78 @t160) @t541)) (or @t376 (= @t161 @t539)))))) % 1.42/1.67 (assume @p261 (forall @t192 (=> @t426 (= (tptp.hAPP @t537 @t335) (tptp.c_Polynomial_Omonom @t18 @t542 @t32))))) % 1.42/1.67 (assume @p262 (forall @t393 (=> @t426 (= (tptp.hAPP @t537 @t28) (tptp.hAPP @t544 @t543))))) % 1.42/1.67 (assume @p263 (forall (@list @t17 @t23 @t8) (=> @t453 (= (tptp.hAPP @t545 (tptp.hAPP (tptp.hAPP @t57 @t23) @t17)) (tptp.hAPP (tptp.hAPP @t57 (tptp.hAPP @t538 @t23)) (tptp.hAPP @t545 @t17)))))) % 1.42/1.67 (assume @p264 (forall (@list @t16 @t17 @t18) (=> @t430 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t543) @t16) (tptp.hAPP @t516 @t20))))) % 1.42/1.67 (assume @p265 (forall @t122 (=> @t523 (= @t546 (tptp.c_Polynomial_Opoly__gcd @t18 @t117 @t23))))) % 1.42/1.67 (assume @p266 (forall @t524 (=> @t523 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t16 @t547) @t517)))) % 1.42/1.67 (assume @p267 (forall @t259 (=> @t523 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t117 (tptp.c_Polynomial_Opoly__gcd @t18 @t23 @t126)) @t548)))) % 1.42/1.67 (assume @p268 (forall @t524 (=> @t523 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t549 @t185) @t517)))) % 1.42/1.67 (assume @p269 (forall @t135 (=> @t523 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t546 @t126) @t548)))) % 1.42/1.67 (assume @p270 (forall @t224 (=> (tptp.class_Lattices_Oboolean__algebra @t8) (= (= @t550 @t539) @t376)))) % 1.42/1.67 (assume @p271 (forall (@list @t161 @t528 @t100 @t8) (=> (tptp.class_Groups_Ouminus @t8) (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t530) @t528) @t161) (tptp.hAPP @t538 @t529))))) % 1.42/1.67 (assume @p272 (forall @t46 (=> (tptp.class_Lattices_Oboolean__algebra @t18) (= (tptp.hAPP @t516 @t551) @t16)))) % 1.42/1.67 (assume @p273 (forall @t236 (not (= @t32 @t552)))) % 1.42/1.67 (assume @p274 (forall @t236 (not (= @t552 @t32)))) % 1.42/1.67 (assume @p275 (forall @t74 (=> @t464 (= (tptp.hAPP @t516 @t542) @t23)))) % 1.42/1.67 (assume @p276 (forall @t343 (=> @t463 (= @t555 (= @t143 @t553))))) % 1.42/1.67 (assume @p277 (forall @t343 (=> @t463 (= (= @t553 @t143) (= @t554 @t55))))) % 1.42/1.67 (assume @p278 (forall (@list @t556 @t557) (= (= @t558 (tptp.hAPP tptp.c_Nat_OSuc @t556)) (= @t557 @t556)))) % 1.42/1.67 (assume @p279 (forall @t343 (=> @t463 (= (= @t553 @t554) @t144)))) % 1.42/1.67 (assume @p280 (forall @t560 (=> (= (tptp.hAPP tptp.c_Nat_OSuc @t16) (tptp.hAPP tptp.c_Nat_OSuc @t185)) @t559))) % 1.42/1.67 (assume @p281 (forall @t455 (not (= (tptp.hAPP (tptp.hAPP @t438 (tptp.hAPP @t562 @t183)) @t183) @t561)))) % 1.42/1.67 (assume @p282 (forall @t450 (= (tptp.hAPP @t533 @t565) (tptp.hAPP @t564 @t534)))) % 1.42/1.67 (assume @p283 (forall @t455 (= (tptp.hAPP (tptp.hAPP @t438 @t561) @t183) @t183))) % 1.42/1.67 (assume @p284 (forall @t455 (= (tptp.hAPP @t535 @t561) @t183))) % 1.42/1.67 (assume @p285 (forall @t450 (= @t565 (tptp.hAPP (tptp.hAPP @t438 @t431) @t183)))) % 1.42/1.67 (assume @p286 (forall @t281 (= (tptp.hAPP @t566 (tptp.hAPP @t567 @t183)) (tptp.hAPP @t567 (tptp.hAPP @t566 @t183))))) % 1.42/1.67 (assume @p287 (forall @t455 (= (tptp.hAPP @t564 @t183) @t561))) % 1.42/1.67 (assume @p288 (forall @t443 (= (tptp.hAPP (tptp.hAPP @t438 @t440) @t442) (tptp.hAPP @t439 (tptp.hAPP (tptp.hAPP @t438 @t432) @t442))))) % 1.42/1.67 (assume @p289 (forall @t393 (=> @t430 (= (tptp.hAPP (tptp.hAPP @t364 @t542) @t17) @t568)))) % 1.42/1.67 (assume @p290 (forall @t569 (=> @t426 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t543) @t32) (tptp.hAPP @t516 @t379))))) % 1.42/1.67 (assume @p291 (not (= @t561 @t454))) % 1.42/1.67 (assume @p292 (forall @t51 (=> @t464 (= (tptp.hAPP @t516 @t31) @t31)))) % 1.42/1.67 (assume @p293 (forall @t298 (=> @t463 (= (= @t54 @t553) (= @t54 @t55))))) % 1.42/1.67 (assume @p294 (forall @t298 (=> @t297 (= (= @t55 @t553) @t56)))) % 1.42/1.67 (assume @p295 (forall @t298 (=> @t463 (= (= @t553 @t54) @t56)))) % 1.42/1.67 (assume @p296 (forall @t298 (=> @t297 (= (= @t553 @t55) @t56)))) % 1.42/1.67 (assume @p297 (forall @t122 (=> @t515 (= @t572 @t571)))) % 1.42/1.67 (assume @p298 (forall @t122 (=> @t515 (= @t572 @t574)))) % 1.42/1.67 (assume @p299 (forall @t122 (=> @t312 (= @t571 @t572)))) % 1.42/1.67 (assume @p300 (forall (@list @t16 @t314 @t18) (=> @t312 (= (tptp.hAPP @t315 @t551) (tptp.hAPP @t516 @t317))))) % 1.42/1.67 (assume @p301 (forall @t122 (=> @t312 (= @t574 @t572)))) % 1.42/1.67 (assume @p302 (forall @t524 (=> @t312 (= (tptp.hAPP (tptp.hAPP @t21 @t551) @t185) (tptp.hAPP @t516 @t186))))) % 1.42/1.67 (assume @p303 (forall @t122 (=> @t515 (= @t574 @t571)))) % 1.42/1.67 (assume @p304 (forall @t122 (=> @t515 (= (tptp.hAPP @t573 @t570) @t121)))) % 1.42/1.67 (assume @p305 (forall @t343 (=> @t146 (= (= (tptp.hAPP @t178 @t55) (tptp.hAPP @t175 @t143)) (or @t144 @t555))))) % 1.42/1.67 (assume @p306 (forall @t122 (=> @t426 (= @t576 (tptp.hAPP @t575 @t570))))) % 1.42/1.67 (assume @p307 (forall @t122 (=> @t464 (= @t576 (tptp.hAPP (tptp.hAPP @t24 @t570) @t542))))) % 1.42/1.67 (assume @p308 (forall @t122 (=> @t464 (= (tptp.hAPP @t25 (tptp.hAPP @t575 @t117)) @t117)))) % 1.42/1.67 (assume @p309 (forall @t122 (=> @t464 (= (tptp.hAPP @t575 @t131) @t117)))) % 1.42/1.67 (assume @p310 (forall @t122 (=> @t426 (= @t578 @t577)))) % 1.42/1.67 (assume @p311 (forall @t235 (not (= @t13 @t579)))) % 1.42/1.67 (assume @p312 (forall (@list @t580) (not (= @t13 (tptp.hAPP tptp.c_Nat_OSuc @t580))))) % 1.42/1.67 (assume @p313 (forall @t235 (not (= @t579 @t13)))) % 1.42/1.67 (assume @p314 (forall (@list @t581) (not (= (tptp.hAPP tptp.c_Nat_OSuc @t581) @t13)))) % 1.42/1.67 (assume @p315 (forall (@list @t230 @t161) (= (= (tptp.hAPP @t582 @t230) @t540) (or @t231 (= @t161 @t540))))) % 1.42/1.67 (assume @p316 (forall @t236 (= (tptp.hAPP (tptp.hAPP @t505 @t540) @t32) @t540))) % 1.42/1.67 (assume @p317 (forall @t447 (= (tptp.hAPP @t444 @t583) (tptp.hAPP (tptp.hAPP @t531 @t446) @t445)))) % 1.42/1.67 (assume @p318 (forall @t441 (= (tptp.hAPP (tptp.hAPP @t407 @t583) @t431) (tptp.hAPP (tptp.hAPP @t531 @t437) @t434)))) % 1.42/1.67 (assume @p319 (forall @t229 (= @t585 @t584))) % 1.42/1.67 (assume @p320 (forall @t229 (= @t586 @t584))) % 1.42/1.67 (assume @p321 (forall @t229 (= @t586 @t585))) % 1.42/1.67 (assume @p322 (forall @t450 (= (tptp.hAPP (tptp.hAPP @t407 @t563) @t431) (tptp.hAPP @t533 @t449)))) % 1.42/1.67 (assume @p323 (forall @t94 (=> @t426 (= (tptp.hAPP @t424 @t43) @t17)))) % 1.42/1.67 (assume @p324 (forall @t271 (= (= @t589 @t588) @t265))) % 1.42/1.67 (assume @p325 (forall @t51 (=> @t426 (= (tptp.hAPP @t537 @t43) @t43)))) % 1.42/1.67 (assume @p326 (forall @t229 (= (tptp.hAPP @t590 @t552) @t472))) % 1.42/1.67 (assume @p327 (forall @t241 (= (tptp.hAPP (tptp.hAPP @t418 (tptp.hAPP @t590 @t32)) (tptp.hAPP tptp.c_Nat_OSuc @t239)) (tptp.hAPP (tptp.hAPP @t418 @t472) @t239)))) % 1.42/1.67 (assume @p328 (forall @t94 (=> @t426 (= (tptp.c_Polynomial_Odegree @t18 @t543) @t461)))) % 1.42/1.67 (assume @p329 (forall @t301 (=> @t430 (= (tptp.hAPP @t365 @t425) (tptp.hAPP @t427 @t366))))) % 1.42/1.67 (assume @p330 (forall @t393 (=> @t430 (= (tptp.hAPP @t365 @t543) @t568)))) % 1.42/1.67 (assume @p331 (forall @t224 (=> @t463 (= (= (tptp.hAPP (tptp.hAPP @t152 @t161) @t160) @t54) (= @t160 @t550))))) % 1.42/1.67 (assume @p332 (forall @t15 (=> @t453 (= (tptp.hAPP @t545 @t11) (tptp.c_Polynomial_OAbs__poly @t8 (tptp.hAPP @t591 @t374)))))) % 1.42/1.67 (assume @p333 (forall (@list @t557 @t495 @t494 @t8) (= (tptp.hAPP @t496 @t558) (tptp.hAPP @t495 @t557)))) % 1.42/1.67 (assume @p334 (forall @t51 (=> @t523 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t43 @t43) @t43)))) % 1.42/1.67 (assume @p335 (forall @t224 (=> @t594 (= (= @t593 @t10) (and (= @t161 @t10) @t592))))) % 1.42/1.67 (assume @p336 (forall (@list @t75 @t55 @t244 @t243 @t8) (= (tptp.hAPP @t245 @t595) (tptp.hAPP (tptp.hAPP @t244 @t55) (tptp.hAPP @t245 @t75))))) % 1.42/1.67 (assume @p337 (forall @t46 (=> @t523 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t16 @t49) @t49)))) % 1.42/1.67 (assume @p338 (forall @t345 (=> @t523 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t49 @t185) @t49)))) % 1.42/1.67 (assume @p339 (forall @t74 (=> @t464 (= (tptp.hAPP @t25 @t542) @t31)))) % 1.42/1.67 (assume @p340 (forall @t343 (=> @t463 (= @t555 (= @t250 @t54))))) % 1.42/1.67 (assume @p341 (forall @t74 (=> @t464 @t596))) % 1.42/1.67 (assume @p342 (forall @t74 (=> @t426 @t596))) % 1.42/1.67 (assume @p343 (forall @t122 (=> @t464 (=> (= @t131 @t31) (= @t542 @t117))))) % 1.42/1.67 (assume @p344 (forall @t74 (=> @t464 (= (tptp.hAPP (tptp.hAPP @t422 @t31) @t23) @t542)))) % 1.42/1.67 (assume @p345 (forall @t46 (=> @t332 (= @t551 (tptp.hAPP (tptp.hAPP @t21 @t597) @t16))))) % 1.42/1.67 (assume @p346 (forall @t246 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t8) (= (= @t221 @t226) (or @t260 (= @t161 (tptp.hAPP @t538 @t226))))))) % 1.42/1.67 (assume @p347 (forall @t524 (=> @t332 (= @t466 (tptp.hAPP @t318 @t598))))) % 1.42/1.67 (assume @p348 (forall @t122 (=> @t464 (= (tptp.hAPP @t428 @t570) @t131)))) % 1.42/1.67 (assume @p349 (forall @t122 (=> @t426 @t599))) % 1.42/1.67 (assume @p350 (forall @t122 (=> @t464 @t599))) % 1.42/1.67 (assume @p351 (forall @t41 (=> @t40 (= (tptp.hAPP @t34 @t552) @t31)))) % 1.42/1.67 (assume @p352 (forall @t192 (=> @t39 (= @t600 @t199)))) % 1.42/1.67 (assume @p353 (forall @t603 (=> @t50 (= @t602 @t601)))) % 1.42/1.67 (assume @p354 (forall @t192 (=> @t67 (= @t600 @t200)))) % 1.42/1.67 (assume @p355 (forall @t603 (=> @t50 (= @t601 @t602)))) % 1.42/1.67 (assume @p356 (forall @t603 (=> @t50 (= (tptp.hAPP @t194 @t16) @t602)))) % 1.42/1.67 (assume @p357 (forall @t234 (= (= @t540 @t233) @t606))) % 1.42/1.67 (assume @p358 (forall @t234 (= (= @t233 @t540) @t606))) % 1.42/1.67 (assume @p359 (forall @t234 (= (= @t262 @t540) (and @t605 @t604)))) % 1.42/1.67 (assume @p360 (= @t201 @t540)) % 1.42/1.67 (assume @p361 (forall @t229 (= (tptp.hAPP (tptp.hAPP @t87 @t579) @t32) (tptp.hAPP @t276 @t90)))) % 1.42/1.67 (assume @p362 (forall @t229 (= (tptp.hAPP @t89 @t552) (tptp.hAPP @t65 @t90)))) % 1.42/1.67 (assume @p363 (forall @t236 (= @t552 (tptp.hAPP (tptp.hAPP @t64 @t201) @t32)))) % 1.42/1.67 (assume @p364 (forall @t236 (= @t552 (tptp.hAPP @t276 @t201)))) % 1.42/1.67 (assume @p365 (forall @t236 (= (tptp.hAPP (tptp.hAPP @t418 @t552) @t201) @t32))) % 1.42/1.67 (assume @p366 (forall @t229 (= (tptp.hAPP @t419 @t552) (tptp.hAPP (tptp.hAPP @t418 @t420) @t32)))) % 1.42/1.67 (assume @p367 (forall @t380 (=> @t53 (= (tptp.hAPP @t392 @t552) @t379)))) % 1.42/1.67 (assume @p368 (forall @t234 (= (tptp.hAPP @t607 @t595) (tptp.hAPP (tptp.c_Nat_Onat_Onat__case tptp.tc_Nat_Onat @t13 (tptp.c_COMBI tptp.tc_Nat_Onat)) (tptp.hAPP @t607 @t75))))) % 1.42/1.67 (assume @p369 (forall @t192 (=> @t514 (= (tptp.hAPP (tptp.hAPP @t33 @t542) @t32) (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP (tptp.hAPP @t33 @t597) @t32)) @t61))))) % 1.42/1.67 (assume @p370 (forall @t74 (=> @t609 (= @t608 @t23)))) % 1.42/1.67 (assume @p371 (forall @t46 (=> @t609 (= @t513 @t16)))) % 1.42/1.67 (assume @p372 (forall @t122 (=> @t609 (= (tptp.hAPP @t120 @t121) @t121)))) % 1.42/1.67 (assume @p373 (forall @t612 (=> @t53 @t611))) % 1.42/1.67 (assume @p374 (forall @t192 (=> @t53 (= (tptp.c_Polynomial_Omonom @t18 @t23 @t552) (tptp.hAPP @t52 @t335))))) % 1.42/1.67 (assume @p375 (forall @t524 (=> @t332 (= (tptp.hAPP (tptp.hAPP @t422 (tptp.hAPP @t70 @t541)) (tptp.hAPP @t193 @t541)) (tptp.hAPP @t467 @t319))))) % 1.42/1.67 (assume @p376 (forall @t229 (and (=> @t228 (= @t66 @t32)) (=> @t421 (= @t66 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t64 @t420) @t32))))))) % 1.42/1.67 (assume @p377 (forall @t612 (=> @t53 (and (=> @t394 (= @t610 @t13)) @t611)))) % 1.42/1.67 (assume @p378 (forall @t612 (=> @t498 (=> @t500 @t616)))) % 1.42/1.67 (assume @p379 (forall @t612 (=> @t498 (=> @t500 (and @t617 @t616))))) % 1.42/1.67 (assume @p380 (forall @t122 (=> @t426 (= (tptp.hAPP (tptp.hAPP @t422 @t542) @t570) @t578)))) % 1.42/1.67 (assume @p381 (forall @t393 (=> @t498 @t617))) % 1.42/1.67 (assume @p382 (forall @t479 (=> @t146 (= (= (tptp.hAPP @t145 @t174) @t54) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t620 (tptp.hAPP (tptp.hAPP @t57 @t619) @t618)) @t11)))))) % 1.42/1.67 (assume @p383 (forall (@list @t11 @t174 @t8) (=> @t146 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t620 (tptp.hAPP (tptp.hAPP @t57 @t174) @t618)) @t11)) (= (tptp.hAPP @t145 @t619) @t54))))) % 1.42/1.67 (assume @p384 (forall @t46 (=> @t523 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t16 @t43) @t623)))) % 1.42/1.67 (assume @p385 (forall @t74 (=> @t50 (tptp.hBOOL (tptp.hAPP @t625 @t31))))) % 1.42/1.67 (assume @p386 (forall @t524 (=> @t523 (tptp.hBOOL (tptp.hAPP @t626 @t185))))) % 1.42/1.67 (assume @p387 (forall @t524 (=> @t523 (tptp.hBOOL (tptp.hAPP @t626 @t16))))) % 1.42/1.67 (assume @p388 (forall @t455 (= (tptp.hAPP @t533 @t563) @t183))) % 1.42/1.67 (assume @p389 (= (tptp.hAPP @t533 @t561) @t561)) % 1.42/1.67 (assume @p390 (forall @t122 (=> @t630 (=> @t629 @t212)))) % 1.42/1.67 (assume @p391 (forall @t135 (=> @t50 (=> @t634 (=> @t633 @t631))))) % 1.42/1.67 (assume @p392 (forall @t343 (=> @t637 (= (= @t636 (tptp.hAPP @t635 @t143)) @t144)))) % 1.42/1.67 (assume @p393 (forall @t74 (=> @t630 @t638))) % 1.42/1.67 (assume @p394 (forall @t74 (=> @t50 (tptp.hBOOL (tptp.hAPP @t625 @t23))))) % 1.42/1.67 (assume @p395 (forall @t74 (=> @t50 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t624 @t31) @t23)) @t190)))) % 1.42/1.67 (assume @p396 (forall @t135 (=> @t50 (=> @t639 @t633)))) % 1.42/1.67 (assume @p397 (forall @t135 (=> @t50 (=> @t639 @t631)))) % 1.42/1.67 (assume @p398 (forall (@list @t239 @t117 @t23 @t18) (=> (tptp.class_Rings_Odvd @t18) (=> (= @t23 (tptp.hAPP @t118 @t239)) (tptp.hBOOL (tptp.hAPP @t632 @t23)))))) % 1.42/1.67 (assume @p399 (forall @t133 (=> @t50 (=> @t634 (=> (tptp.hBOOL (tptp.hAPP @t640 @t123)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t624 @t172) (tptp.hAPP @t118 @t123)))))))) % 1.42/1.67 (assume @p400 (forall @t642 (=> @t50 (=> @t631 @t641)))) % 1.42/1.67 (assume @p401 (forall @t135 (=> @t50 (=> @t634 @t641)))) % 1.42/1.67 (assume @p402 (forall @t122 (=> @t50 (tptp.hBOOL (tptp.hAPP @t625 @t119))))) % 1.42/1.67 (assume @p403 (forall @t122 (=> @t50 (tptp.hBOOL (tptp.hAPP @t625 @t121))))) % 1.42/1.67 (assume @p404 (forall @t135 (=> @t50 (=> @t634 (=> @t631 (tptp.hBOOL (tptp.hAPP @t625 @t136))))))) % 1.42/1.67 (assume @p405 (forall @t122 (=> @t643 (=> @t629 (=> @t191 (=> @t341 @t212)))))) % 1.42/1.67 (assume @p406 (forall @t74 (=> @t643 (=> @t644 @t190)))) % 1.42/1.67 (assume @p407 (forall @t74 (=> @t643 (=> @t191 @t638)))) % 1.42/1.67 (assume @p408 (forall @t74 (=> @t643 (=> @t191 (not @t644))))) % 1.42/1.67 (assume @p409 (forall @t298 (=> @t637 (= (= @t636 @t54) @t56)))) % 1.42/1.67 (assume @p410 (forall @t51 (=> @t630 @t645))) % 1.42/1.67 (assume @p411 (forall @t187 (=> @t332 (=> @t647 (=> (tptp.hBOOL (tptp.hAPP @t646 @t183)) (tptp.hBOOL (tptp.hAPP @t646 (tptp.hAPP @t488 @t183)))))))) % 1.42/1.67 (assume @p412 (forall @t74 (=> @t50 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t624 @t38) @t23))))) % 1.42/1.67 (assume @p413 (forall @t224 (=> @t651 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t648 @t550) @t160)) @t650)))) % 1.42/1.67 (assume @p414 (forall @t224 (=> @t651 (= (tptp.hBOOL (tptp.hAPP @t649 @t539)) @t650)))) % 1.42/1.67 (assume @p415 (forall (@list @t32 @t185 @t16 @t18) (=> @t50 (=> @t647 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t624 @t331) @t652)))))) % 1.42/1.67 (assume @p416 (forall @t51 (=> @t643 (= (tptp.hAPP @t622 @t38) @t38)))) % 1.42/1.67 (assume @p417 (forall @t74 (=> @t630 @t653))) % 1.42/1.67 (assume @p418 (forall @t192 (=> @t630 @t654))) % 1.42/1.67 (assume @p419 (forall @t301 (=> @t50 (=> @t657 @t656)))) % 1.42/1.67 (assume @p420 (forall @t659 (=> @t50 (=> @t656 @t658)))) % 1.42/1.67 (assume @p421 (forall (@list @t185 @t16 @t239 @t18) (=> @t523 (=> (tptp.hBOOL (tptp.hAPP @t660 @t16)) (=> (tptp.hBOOL (tptp.hAPP @t660 @t185)) (tptp.hBOOL (tptp.hAPP @t660 @t517))))))) % 1.42/1.67 (assume @p422 (forall (@list @t160 @t161 @t263 @t8) (=> @t594 (= (tptp.hBOOL (tptp.hAPP @t661 @t593)) (and (tptp.hBOOL (tptp.hAPP @t661 @t161)) (tptp.hBOOL (tptp.hAPP @t661 @t160))))))) % 1.42/1.67 (assume @p423 (forall @t669 (=> @t146 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t648 @t668) @t667)) @t665)))) % 1.42/1.67 (assume @p424 (forall @t670 (=> @t146 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t648 @t180) @t176)) @t665)))) % 1.42/1.67 (assume @p425 (forall @t122 (=> @t643 (=> @t191 (=> @t341 (= @t671 (tptp.hAPP (tptp.hAPP @t21 @t627) @t628))))))) % 1.42/1.67 (assume @p426 (forall @t74 (=> @t643 (=> @t191 @t653)))) % 1.42/1.67 (assume @p427 (forall @t122 (=> @t643 (=> (= @t121 @t38) (= @t628 @t117))))) % 1.42/1.67 (assume @p428 (forall @t192 (=> @t643 (=> @t191 @t654)))) % 1.42/1.67 (assume @p429 (forall @t369 (=> @t523 (=> @t658 (=> @t191 @t656))))) % 1.42/1.67 (assume @p430 (forall @t659 (=> @t523 (=> @t656 (=> @t191 @t657))))) % 1.42/1.67 (assume @p431 (forall @t675 (=> @t594 (=> @t674 (= (tptp.hBOOL (tptp.hAPP @t672 (tptp.hAPP @t390 @t141))) @t673))))) % 1.42/1.67 (assume @p432 (forall @t504 (=> @t498 (=> (= @t499 @t508) (=> @t656 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t615 @t69) @t17)) (= @t17 @t69))))))) % 1.42/1.67 (assume @p433 (forall @t122 (=> @t643 (=> @t191 (=> @t341 (= @t677 (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP @t676 @t131)) @t627))))))) % 1.42/1.67 (assume @p434 (forall @t122 (=> @t643 (=> @t191 (=> @t341 (= @t678 (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP @t676 @t577)) @t627))))))) % 1.42/1.67 (assume @p435 (forall @t74 (=> @t643 @t679))) % 1.42/1.67 (assume @p436 (forall @t74 (=> @t643 (=> @t191 (= (tptp.hAPP @t120 @t628) @t38))))) % 1.42/1.67 (assume @p437 (forall @t675 (=> @t594 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t620 @t391) @t141)) (and (=> @t56 @t680) (=> @t674 @t673)))))) % 1.42/1.67 (assume @p438 (forall @t122 (=> @t643 (=> @t191 (=> @t341 (= @t678 (tptp.hAPP @t516 (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP @t676 @t429)) @t627)))))))) % 1.42/1.67 (assume @p439 (forall @t74 (=> @t523 @t679))) % 1.42/1.67 (assume @p440 (forall @t122 (=> @t523 (=> @t191 (=> @t341 (= @t677 (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP @t168 @t628)) @t627))))))) % 1.42/1.67 (assume @p441 (forall (@list @t681 @t682 @t177 @t8) (=> (and (tptp.class_Rings_Ocomm__ring @t8) @t686) (=> (tptp.hBOOL (tptp.hAPP @t684 @t682)) (forall (@list @t3 @t683) (= (tptp.hBOOL (tptp.hAPP @t684 (tptp.hAPP @t685 @t681))) (tptp.hBOOL (tptp.hAPP @t684 (tptp.hAPP (tptp.hAPP @t152 (tptp.hAPP (tptp.hAPP @t451 @t3) (tptp.hAPP (tptp.hAPP @t163 @t683) @t682))) @t681))))))))) % 1.42/1.67 (assume @p442 (forall (@list @t688 @t687 @t8) (=> (and @t686 (tptp.class_Rings_Osemiring__0 @t8)) (= (exists @t5 (tptp.hBOOL (tptp.hAPP @t687 (tptp.hAPP (tptp.hAPP @t163 @t688) @t3)))) (exists @t5 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t648 @t688) (tptp.hAPP @t685 @t54))) (tptp.hBOOL (tptp.hAPP @t687 @t3)))))))) % 1.42/1.67 (assume @p443 (forall @t690 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 @t540) @t239)))) % 1.42/1.67 (assume @p444 (forall @t290 (=> (tptp.hBOOL (tptp.hAPP @t692 (tptp.hAPP @t694 @t32))) @t693))) % 1.42/1.67 (assume @p445 (forall @t697 (= @t696 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 (tptp.hAPP @t533 @t177)) @t681))))) % 1.42/1.67 (assume @p446 (forall @t697 (= @t696 (tptp.hBOOL (tptp.hAPP @t695 (tptp.hAPP @t533 @t681)))))) % 1.42/1.67 (assume @p447 (forall (@list @t75 @t263) (= (tptp.hBOOL (tptp.hAPP @t698 @t286)) (tptp.hBOOL (tptp.hAPP @t698 @t75))))) % 1.42/1.67 (assume @p448 (forall @t290 (=> (tptp.hBOOL (tptp.hAPP @t699 @t62)) (=> (tptp.hBOOL (tptp.hAPP @t699 @t32)) (tptp.hBOOL (tptp.hAPP @t699 @t472)))))) % 1.42/1.67 (assume @p449 (forall @t701 (= (tptp.hBOOL (tptp.hAPP @t700 @t201)) @t293))) % 1.42/1.67 (assume @p450 (forall (@list @t681 @t230 @t263) (=> (not (= @t263 @t561)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 @t230) @t681)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 @t703) (tptp.hAPP @t702 @t681))))))) % 1.42/1.67 (assume @p451 (forall @t290 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 (tptp.hAPP @t704 @t62)) (tptp.hAPP @t704 @t32))) (=> (not (= @t239 @t561)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 @t62) @t32)))))) % 1.42/1.67 (assume @p452 (forall (@list @t230 @t75 @t263) (= (tptp.hBOOL (tptp.hAPP @t705 (tptp.hAPP (tptp.hAPP @t438 @t75) @t703))) (tptp.hBOOL (tptp.hAPP @t705 @t75))))) % 1.42/1.67 (assume @p453 (forall (@list @t174 @t681 @t161 @t177 @t55) (=> (tptp.hBOOL (tptp.hAPP @t707 @t177)) (= (tptp.hBOOL (tptp.hAPP @t707 (tptp.hAPP @t706 @t681))) (tptp.hBOOL (tptp.hAPP @t707 (tptp.hAPP (tptp.hAPP @t438 (tptp.hAPP @t706 (tptp.hAPP (tptp.hAPP @t407 @t174) @t177))) @t681))))))) % 1.42/1.67 (assume @p454 (forall @t701 (= (tptp.hBOOL (tptp.hAPP @t700 @t540)) @t605))) % 1.42/1.67 (assume @p455 (forall @t271 (= @t709 (or @t264 @t708)))) % 1.42/1.67 (assume @p456 (forall @t51 (=> @t710 @t645))) % 1.42/1.67 (assume @p457 (forall @t122 (=> @t710 (= @t671 (tptp.hAPP @t676 @t627))))) % 1.42/1.67 (assume @p458 (forall @t246 (=> @t712 (= (= @t711 @t226) @t260)))) % 1.42/1.67 (assume @p459 (forall @t59 (=> @t146 (= @t225 (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat (tptp.hAPP @t713 (tptp.hAPP (tptp.c_COMBC tptp.tc_Nat_Onat @t9 tptp.tc_HOL_Obool (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t9 (tptp.tc_fun @t9 tptp.tc_HOL_Obool) tptp.tc_Nat_Onat) @t620) (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat @t9 tptp.tc_Nat_Onat) (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t9) (tptp.hAPP (tptp.hAPP @t57 @t553) @t618))) tptp.c_Nat_OSuc))) @t11))))))) % 1.42/1.67 (assume @p460 (forall (@list @t185 @t16 @t123 @t18) (=> @t523 (=> (tptp.hBOOL (tptp.hAPP @t717 @t16)) (=> (tptp.hBOOL (tptp.hAPP @t717 @t185)) (=> (forall @t716 (=> (tptp.hBOOL (tptp.hAPP @t715 @t16)) (=> (tptp.hBOOL (tptp.hAPP @t715 @t185)) (tptp.hBOOL (tptp.hAPP @t715 @t123))))) (=> (and (=> @t521 (= @t714 @t31)) (=> @t522 (= @t714 @t38))) (= @t517 @t123)))))))) % 1.42/1.67 (assume @p461 (forall @t720 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 (tptp.hAPP (tptp.hAPP @t505 @t23) @t32)) (tptp.hAPP (tptp.hAPP @t505 @t117) @t32))) (=> @t37 @t719)))) % 1.42/1.67 (assume @p462 (forall @t721 (=> @t77 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 (tptp.hAPP (tptp.hAPP @t505 @t55) @t75)) (tptp.hAPP (tptp.hAPP @t505 @t143) @t75))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 @t55) @t143)))))) % 1.42/1.67 (assume @p463 (forall @t723 (tptp.hBOOL (tptp.hAPP @t722 @t16)))) % 1.42/1.67 (assume @p464 (forall @t560 (=> @t727 (not (and @t726 (not @t724)))))) % 1.42/1.67 (assume @p465 (forall @t281 (=> @t727 @t732))) % 1.42/1.67 (assume @p466 (forall @t736 (=> @t735 (not (and @t734 (not @t719)))))) % 1.42/1.67 (assume @p467 (forall @t281 (=> @t727 (=> @t731 @t730)))) % 1.42/1.67 (assume @p468 (forall @t740 (=> @t735 (=> @t255 @t739)))) % 1.42/1.67 (assume @p469 (forall @t560 (=> @t727 @t741))) % 1.42/1.67 (assume @p470 (forall @t560 (=> @t727 @t742))) % 1.42/1.67 (assume @p471 (forall @t560 (=> @t727 @t724))) % 1.42/1.67 (assume @p472 (forall @t281 (=> @t724 @t732))) % 1.42/1.67 (assume @p473 (forall @t740 (=> @t212 (=> (and @t743 (not (tptp.hBOOL (tptp.hAPP @t737 @t117)))) @t739)))) % 1.42/1.67 (assume @p474 (forall @t281 (=> @t724 (=> @t731 @t729)))) % 1.42/1.67 (assume @p475 (forall @t560 (=> @t724 (=> @t726 @t559)))) % 1.42/1.67 (assume @p476 (forall @t229 (=> @t745 (=> @t744 @t399)))) % 1.42/1.67 (assume @p477 (forall @t740 (=> @t719 (=> @t255 @t738)))) % 1.42/1.67 (assume @p478 (forall @t740 (=> @t212 (=> @t743 @t738)))) % 1.42/1.67 (assume @p479 (forall @t736 (=> @t719 (=> @t746 @t735)))) % 1.42/1.67 (assume @p480 (forall @t560 (=> @t724 (or @t727 @t559)))) % 1.42/1.67 (assume @p481 (forall (@list @t161 @t160) (=> @t748 (= @t747 @t376)))) % 1.42/1.67 (assume @p482 (forall @t560 (=> @t559 @t724))) % 1.42/1.67 (assume @p483 (forall @t736 (=> @t746 (=> @t719 @t735)))) % 1.42/1.67 (assume @p484 (forall @t751 (= @t750 (and @t747 @t749)))) % 1.42/1.67 (assume @p485 (forall @t751 (= @t747 (or @t750 @t376)))) % 1.42/1.67 (assume @p486 (forall @t751 (= @t376 (and @t747 @t748)))) % 1.42/1.67 (assume @p487 (forall @t723 (tptp.hBOOL (tptp.hAPP @t722 @t13)))) % 1.42/1.67 (assume @p488 (forall @t723 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 @t201) @t16)))) % 1.42/1.67 (assume @p489 (forall (@list @t75 @t687) (=> @t755 (=> @t753 (= (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat @t687) (tptp.hAPP tptp.c_Nat_OSuc (tptp.c_Orderings_Oord__class_OLeast tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_HOL_Obool tptp.tc_Nat_Onat) @t687) tptp.c_Nat_OSuc)))))))) % 1.42/1.67 (assume @p490 (forall @t720 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 (tptp.hAPP (tptp.hAPP @t404 @t23) @t32)) (tptp.hAPP (tptp.hAPP @t404 @t117) @t32))) (=> @t37 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 @t23) @t117)))))) % 1.42/1.67 (assume @p491 (forall @t721 (=> @t77 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 (tptp.hAPP (tptp.hAPP @t404 @t55) @t75)) (tptp.hAPP (tptp.hAPP @t404 @t143) @t75))) (tptp.hBOOL (tptp.hAPP @t707 @t143)))))) % 1.42/1.67 (assume @p492 (forall (@list @t177 @t161 @t2 @t8) (=> @t763 (=> @t762 (=> @t761 (tptp.c_Deriv_Oderiv @t8 @t760 @t161 (tptp.hAPP @t538 (tptp.hAPP @t758 (tptp.hAPP @t635 (tptp.hAPP @t757 @t541)))))))))) % 1.42/1.67 (assume @p493 (forall @t767 (=> @t523 (and (=> @t519 (= @t517 @t623)) @t766)))) % 1.42/1.67 (assume @p494 (forall @t246 (=> @t763 (=> @t768 (tptp.c_Deriv_Oderiv @t8 @t635 @t161 (tptp.hAPP @t538 (tptp.hAPP (tptp.hAPP @t78 @t711) @t541))))))) % 1.42/1.67 (assume @p495 (forall (@list @t263 @t687 @t8) (=> @t772 (=> @t771 @t770)))) % 1.42/1.67 (assume @p496 (forall (@list @t161 @t263 @t8) (=> @t763 (tptp.c_Deriv_Oderiv @t8 (tptp.hAPP (tptp.c_COMBK @t8 @t8) @t263) @t161 @t54)))) % 1.42/1.67 (assume @p497 (forall (@list @t773 @t774 @t161 @t1 @t2 @t8) (=> @t763 (=> (tptp.c_Deriv_Oderiv @t8 @t2 @t777 @t774) (=> @t776 (tptp.c_Deriv_Oderiv @t8 (tptp.hAPP (tptp.hAPP @t759 @t2) @t1) @t161 (tptp.hAPP @t775 @t773))))))) % 1.42/1.67 (assume @p498 (forall @t780 (=> @t763 (=> @t779 (=> (tptp.c_Deriv_Oderiv @t8 @t1 @t756 @t778) (tptp.c_Deriv_Oderiv @t8 (tptp.hAPP (tptp.hAPP @t759 @t1) @t2) @t161 (tptp.hAPP (tptp.hAPP @t163 @t778) @t682))))))) % 1.42/1.67 (assume @p499 (forall @t781 (=> @t763 (=> @t779 (tptp.c_Deriv_Oderiv @t8 (tptp.hAPP (tptp.hAPP @t759 @t666) @t2) @t161 (tptp.hAPP @t666 @t682)))))) % 1.42/1.67 (assume @p500 (forall (@list @t161 @t174 @t8) (=> @t763 (tptp.c_Deriv_Oderiv @t8 @t666 @t161 @t174)))) % 1.42/1.67 (assume @p501 (forall @t783 (=> @t523 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t782 @t185) (tptp.hAPP @t365 @t764))))) % 1.42/1.67 (assume @p502 (forall @t786 (=> @t763 (=> @t779 (=> @t785 @t784))))) % 1.42/1.67 (assume @p503 (forall (@list @t787 @t788 @t161 @t2 @t8) (=> @t763 (=> (tptp.c_Deriv_Oderiv @t8 @t2 @t161 @t788) (=> (= @t788 @t787) (tptp.c_Deriv_Oderiv @t8 @t2 @t161 @t787)))))) % 1.42/1.67 (assume @p504 (forall @t786 (=> @t763 (=> @t779 (=> @t784 @t785))))) % 1.42/1.67 (assume @p505 (forall @t524 (=> @t523 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t16 @t547) @t764)))) % 1.42/1.67 (assume @p506 (forall @t524 (=> @t523 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t549 @t185) (tptp.hAPP @t537 @t764))))) % 1.42/1.67 (assume @p507 (forall @t780 (=> @t763 (=> @t779 (=> @t793 (tptp.c_Deriv_Oderiv @t8 (tptp.hAPP @t792 @t1) @t161 (tptp.hAPP @t789 @t778))))))) % 1.42/1.67 (assume @p508 (forall @t780 (=> @t763 (=> @t779 (=> @t793 (tptp.c_Deriv_Oderiv @t8 (tptp.hAPP (tptp.hAPP @t791 (tptp.hAPP (tptp.hAPP @t790 @t451) @t2)) @t1) @t161 (tptp.hAPP (tptp.hAPP @t451 @t682) @t778))))))) % 1.42/1.67 (assume @p509 (forall @t246 (=> @t763 (tptp.c_Deriv_Oderiv @t8 (tptp.c_COMBI @t8) @t161 @t226)))) % 1.42/1.67 (assume @p510 (forall @t795 (=> @t763 (=> @t779 (tptp.c_Deriv_Oderiv @t8 (tptp.hAPP @t794 @t2) @t161 (tptp.hAPP @t538 @t682)))))) % 1.42/1.67 (assume @p511 (forall @t783 (=> @t523 (=> @t191 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t16 @t796) @t764))))) % 1.42/1.67 (assume @p512 (forall @t767 (=> @t523 @t766))) % 1.42/1.67 (assume @p513 (forall (@list @t773 @t1 @t774 @t161 @t2 @t8) (=> @t763 (=> (tptp.c_Deriv_Oderiv @t8 @t2 @t161 @t774) (=> @t776 (tptp.c_Deriv_Oderiv @t8 @t797 @t161 (tptp.hAPP (tptp.hAPP @t152 (tptp.hAPP @t775 @t777)) (tptp.hAPP (tptp.hAPP @t163 @t773) @t756)))))))) % 1.42/1.67 (assume @p514 (forall @t780 (=> @t763 (=> @t779 (=> @t793 (tptp.c_Deriv_Oderiv @t8 @t797 @t161 (tptp.hAPP (tptp.hAPP @t152 @t800) @t799))))))) % 1.42/1.67 (assume @p515 (forall @t780 (=> @t763 (=> @t779 (=> @t793 (tptp.c_Deriv_Oderiv @t8 (tptp.hAPP @t792 (tptp.hAPP @t794 @t1)) @t161 (tptp.hAPP @t789 (tptp.hAPP @t538 @t778)))))))) % 1.42/1.67 (assume @p516 (forall @t795 (=> @t763 (=> @t779 (=> @t761 (tptp.c_Deriv_Oderiv @t8 @t760 @t161 (tptp.hAPP @t538 (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP (tptp.hAPP @t163 @t801) @t682)) @t801)))))))) % 1.42/1.67 (assume @p517 (forall (@list @t687 @t8) (=> @t772 (=> (exists (@list @t802) (tptp.hBOOL (tptp.hAPP @t687 @t802))) @t770)))) % 1.42/1.67 (assume @p518 (forall @t343 (=> @t803 (= @t663 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t143 @t55) @t54))))) % 1.42/1.67 (assume @p519 (forall @t122 (=> @t804 (=> @t634 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t117 @t23) @t31))))) % 1.42/1.67 (assume @p520 (forall @t642 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t808 @t117) @t805)))) % 1.42/1.67 (assume @p521 (forall @t135 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t809 @t117) @t805)))) % 1.42/1.67 (assume @p522 (forall (@list @t32 @t62 @t811) (=> (tptp.hBOOL (tptp.hAPP @t812 @t62)) (=> (tptp.hBOOL (tptp.hAPP @t812 @t32)) (tptp.hBOOL (tptp.hAPP @t812 @t810)))))) % 1.42/1.67 (assume @p523 (forall @t290 (=> (tptp.hBOOL (tptp.hAPP @t692 @t810)) @t693))) % 1.42/1.67 (assume @p524 (forall (@list @t62 @t185 @t16) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t813 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t185 @t62)) @t62) @t814))) % 1.42/1.67 (assume @p525 (forall @t816 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t531 @t815) @t185) @t62) @t814))) % 1.42/1.67 (assume @p526 (forall (@list @t62 @t16) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t533 @t815) @t62) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t533 @t16) @t62)))) % 1.42/1.67 (assume @p527 (forall @t736 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t819 @t818) (tptp.hAPP @t533 @t817)))) % 1.42/1.67 (assume @p528 (forall @t736 (= @t821 (tptp.hAPP @t533 @t820)))) % 1.42/1.67 (assume @p529 (forall @t822 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t23 @t23) @t561))) % 1.42/1.67 (assume @p530 (forall @t823 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t561 @t117) @t561))) % 1.42/1.67 (assume @p531 (forall @t740 (= @t829 @t827))) % 1.42/1.67 (assume @p532 (forall @t740 (= @t827 @t829))) % 1.42/1.67 (assume @p533 (forall @t290 (= (tptp.hAPP @t287 @t830) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t289 @t288)))) % 1.42/1.67 (assume @p534 (forall @t241 (= (tptp.hAPP (tptp.hAPP @t87 @t830) @t239) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t291 @t240)))) % 1.42/1.67 (assume @p535 (forall @t229 (= @t832 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t831 @t32)))) % 1.42/1.67 (assume @p536 (forall @t816 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t404 @t815) @t185) @t62) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t406 @t62)))) % 1.42/1.67 (assume @p537 (forall @t835 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t239 (tptp.hAPP @t533 @t833)) @t561)) @t834))) % 1.42/1.67 (assume @p538 (forall @t835 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t533 @t239) @t833) @t561)) @t834))) % 1.42/1.67 (assume @p539 (forall @t837 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t836 @t32) @t830))) % 1.42/1.67 (assume @p540 (forall @t840 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t230 @t177) @t561) (exists @t839 (= @t230 (tptp.hAPP (tptp.hAPP @t407 @t177) @t838)))))) % 1.42/1.67 (assume @p541 (forall @t840 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t230 @t177) @t13) (exists @t839 (= @t230 (tptp.hAPP (tptp.hAPP @t87 @t177) @t838)))))) % 1.42/1.67 (assume @p542 (forall @t229 (and (=> @t841 (= @t832 @t13)) (=> (not @t841) (= @t832 @t831))))) % 1.42/1.67 (assume @p543 (forall @t235 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t62 @t540) @t13))) % 1.42/1.67 (assume @p544 (forall (@list @t160 @t75 @t161) (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t161 @t75) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t160 @t75)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t691 @t75) (tptp.hAPP (tptp.hAPP @t531 @t161) @t160)))))) % 1.42/1.67 (assume @p545 (forall @t837 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t836) @t32) @t832))) % 1.42/1.67 (assume @p546 (forall @t736 (and (=> @t842 (= @t820 @t561)) (=> @t843 (= @t820 (tptp.hAPP (tptp.hAPP @t531 @t117) @t817)))))) % 1.42/1.67 (assume @p547 (forall @t736 (and (=> @t842 (= @t821 @t561)) (=> @t843 (= @t821 (tptp.hAPP (tptp.hAPP @t531 @t817) @t117)))))) % 1.42/1.67 (assume @p548 (forall @t122 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t805 @t117) @t805)))) % 1.42/1.67 (assume @p549 (forall @t74 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t23 @t23) @t31)))) % 1.42/1.67 (assume @p550 (forall @t74 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t23 @t31) @t23)))) % 1.42/1.67 (assume @p551 (forall @t74 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t31 @t23) @t31)))) % 1.42/1.67 (assume @p552 (forall @t849 (=> @t804 (=> @t848 (=> @t846 (= @t844 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t322 @t309) @t126))))))) % 1.42/1.67 (assume @p553 (forall @t642 (=> @t804 (= @t851 @t844)))) % 1.42/1.67 (assume @p554 (forall @t642 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t172 @t171) (tptp.hAPP (tptp.hAPP @t21 @t805) @t126))))) % 1.42/1.67 (assume @p555 (forall @t853 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t852 @t807) (tptp.hAPP @t806 @t805))))) % 1.42/1.67 (assume @p556 (forall @t135 (=> @t804 (= @t844 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t850 @t845) @t126))))) % 1.42/1.67 (assume @p557 (forall @t135 (=> @t804 (= @t844 @t851)))) % 1.42/1.67 (assume @p558 (forall @t135 (=> @t804 (= @t844 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t120 @t845) @t126))))) % 1.42/1.67 (assume @p559 (forall @t849 (=> @t804 (=> @t848 (=> @t846 (= @t854 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP (tptp.hAPP @t24 @t321) @t309) @t126))))))) % 1.42/1.67 (assume @p560 (forall @t642 (=> @t804 (= @t856 @t854)))) % 1.42/1.67 (assume @p561 (forall @t135 (=> @t804 (= @t857 @t854)))) % 1.42/1.67 (assume @p562 (forall @t135 (=> @t804 (= @t854 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t855 @t845) @t126))))) % 1.42/1.67 (assume @p563 (forall @t135 (=> @t804 (= @t854 @t856)))) % 1.42/1.67 (assume @p564 (forall @t135 (=> @t804 (= @t854 @t857)))) % 1.42/1.67 (assume @p565 (forall @t858 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t258 @t117) @t805)))) % 1.42/1.67 (assume @p566 (forall @t122 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t131 @t117) @t805)))) % 1.42/1.67 (assume @p567 (forall @t849 (=> @t860 (=> @t848 (=> @t846 (= @t859 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP (tptp.hAPP @t422 @t321) @t309) @t126))))))) % 1.42/1.67 (assume @p568 (forall @t135 (=> @t860 (= @t859 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t861 @t845) @t126))))) % 1.42/1.67 (assume @p569 (forall @t135 (=> @t860 (= @t859 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t861 @t117) @t126))))) % 1.42/1.67 (assume @p570 (forall @t135 (=> @t860 (= @t859 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t428 @t845) @t126))))) % 1.42/1.67 (assume @p571 (forall @t122 (=> @t860 (= @t862 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t516 @t805) @t117))))) % 1.42/1.67 (assume @p572 (forall (@list @t321 @t117 @t23 @t18) (=> @t860 (=> (= @t805 (tptp.c_Divides_Odiv__class_Omod @t18 @t321 @t117)) (= @t862 (tptp.c_Divides_Odiv__class_Omod @t18 (tptp.hAPP @t516 @t321) @t117)))))) % 1.42/1.67 (assume @p573 (forall @t867 (=> @t804 (=> @t866 (=> @t865 @t864))))) % 1.42/1.67 (assume @p574 (forall @t867 (=> @t804 (=> @t864 (=> @t865 @t866))))) % 1.42/1.67 (assume @p575 (forall @t869 (=> @t804 (=> @t868 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t805 @t126) @t847))))) % 1.42/1.67 (assume @p576 (forall (@list @t230 @t75 @t263 @t8) (=> @t803 (=> (tptp.hBOOL (tptp.hAPP @t870 @t75)) (= (tptp.hBOOL (tptp.hAPP @t870 (tptp.c_Divides_Odiv__class_Omod @t8 @t230 @t75))) (tptp.hBOOL (tptp.hAPP @t870 @t230))))))) % 1.42/1.67 (assume @p577 (forall @t122 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t121 @t117) @t31)))) % 1.42/1.67 (assume @p578 (forall @t858 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t119 @t117) @t31)))) % 1.42/1.67 (assume @p579 (forall @t74 (=> @t804 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t23 @t38) @t31)))) % 1.42/1.67 (assume @p580 (forall (@list @t16 @t23 @t185 @t18) (=> @t523 (=> @t765 (= (tptp.c_Divides_Odiv__class_Omod @t42 @t875 @t185) (tptp.hAPP (tptp.hAPP @t423 @t873) (tptp.hAPP (tptp.hAPP @t364 (tptp.hAPP (tptp.hAPP @t874 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t873) @t871)) @t872)) @t185))))))) % 1.42/1.67 (assume @p581 (forall (@list @t480 @t1 @t177 @t161 @t2 @t8) (=> @t763 (=> @t762 (=> (tptp.c_Deriv_Oderiv @t8 @t1 @t161 @t480) (=> @t879 (tptp.c_Deriv_Oderiv @t8 @t878 @t161 (tptp.hAPP (tptp.hAPP @t876 (tptp.hAPP (tptp.hAPP @t451 (tptp.hAPP @t758 @t777)) (tptp.hAPP (tptp.hAPP @t163 @t480) @t756))) (tptp.hAPP (tptp.hAPP @t78 @t777) @t541))))))))) % 1.42/1.67 (assume @p582 (forall @t883 (=> @t763 (=> @t779 (tptp.c_Deriv_Oderiv @t8 (tptp.hAPP @t882 @t75) @t161 (tptp.hAPP (tptp.hAPP @t163 @t881) (tptp.hAPP @t798 (tptp.hAPP @t757 (tptp.hAPP @t880 @t540))))))))) % 1.42/1.67 (assume @p583 (forall @t883 (=> @t763 (=> @t779 (tptp.c_Deriv_Oderiv @t8 (tptp.hAPP @t882 @t595) @t161 (tptp.hAPP (tptp.hAPP @t163 (tptp.hAPP (tptp.hAPP @t152 @t226) @t881)) (tptp.hAPP @t798 (tptp.hAPP @t757 @t75)))))))) % 1.42/1.67 (assume @p584 (forall @t560 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t885 @t884) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t16 @t185))))) % 1.42/1.67 (assume @p585 (forall @t736 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t886) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t23) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t117))))) % 1.42/1.67 (assume @p586 (forall @t781 (=> @t763 (=> @t779 (tptp.c_Deriv_Oderiv @t8 (tptp.hAPP (tptp.c_COMBC @t8 @t8 @t8 @t877) @t174) @t161 (tptp.hAPP (tptp.hAPP @t876 @t682) @t174)))))) % 1.42/1.67 (assume @p587 (forall @t74 (=> @t630 (= (tptp.hAPP @t887 @t31) @t31)))) % 1.42/1.67 (assume @p588 (forall @t345 (=> @t889 (= (tptp.hAPP @t888 @t185) @t31)))) % 1.42/1.67 (assume @p589 (forall @t74 (=> @t643 (= (tptp.hAPP @t888 @t23) @t31)))) % 1.42/1.67 (assume @p590 (forall @t135 (=> @t643 (= (tptp.hAPP @t120 @t891) (tptp.hAPP (tptp.hAPP @t874 @t121) @t126))))) % 1.42/1.67 (assume @p591 (forall @t329 (=> @t889 (= (tptp.hAPP (tptp.hAPP @t874 @t319) @t325) (tptp.hAPP (tptp.hAPP @t24 @t895) @t893))))) % 1.42/1.67 (assume @p592 (forall @t135 (=> @t643 (= (tptp.hAPP @t897 @t126) (tptp.hAPP (tptp.hAPP @t24 @t896) @t891))))) % 1.42/1.67 (assume @p593 (forall @t329 (=> @t889 (= (tptp.hAPP (tptp.hAPP @t874 @t466) @t325) (tptp.hAPP (tptp.hAPP @t422 @t895) @t893))))) % 1.42/1.67 (assume @p594 (forall @t135 (=> @t643 (= (tptp.hAPP @t898 @t126) (tptp.hAPP (tptp.hAPP @t422 @t896) @t891))))) % 1.42/1.67 (assume @p595 (forall @t74 (=> @t643 (= (tptp.hAPP @t887 @t38) @t23)))) % 1.42/1.67 (assume @p596 (forall @t524 (=> @t889 (= (tptp.hAPP (tptp.hAPP @t874 @t551) @t185) (tptp.hAPP @t516 @t899))))) % 1.42/1.67 (assume @p597 (forall @t122 (=> @t643 (= @t902 (tptp.hAPP @t900 @t117))))) % 1.42/1.67 (assume @p598 (forall @t198 (=> @t710 @t903))) % 1.42/1.67 (assume @p599 (forall @t905 (=> (tptp.class_Nat_Osemiring__char__0 @t8) (= (= @t904 @t881) @t265)))) % 1.42/1.67 (assume @p600 (forall (@list @t431 @t183 @t185 @t16 @t18) (=> @t710 (= (tptp.hAPP (tptp.hAPP @t21 @t899) (tptp.hAPP (tptp.hAPP @t874 @t183) @t431)) (tptp.hAPP (tptp.hAPP @t874 @t184) (tptp.hAPP @t326 @t431)))))) % 1.42/1.67 (assume @p601 (forall @t122 (=> @t710 (= (tptp.hAPP @t622 @t901) (tptp.hAPP @t890 @t23))))) % 1.42/1.67 (assume @p602 (forall @t122 (=> @t710 @t906))) % 1.42/1.67 (assume @p603 (forall @t122 (=> @t710 @t907))) % 1.42/1.67 (assume @p604 (forall @t51 (=> @t908 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t18 @t13) @t31)))) % 1.42/1.67 (assume @p605 (forall @t252 (=> @t712 (= @t913 (and (=> @t911 @t910) @t909))))) % 1.42/1.67 (assume @p606 (forall @t916 (=> @t712 (= @t915 (and (=> @t911 @t914) @t909))))) % 1.42/1.67 (assume @p607 (forall @t853 (=> @t710 (=> @t918 (= (tptp.hAPP (tptp.hAPP @t874 @t172) @t171) @t901))))) % 1.42/1.67 (assume @p608 (forall @t853 (=> @t710 (=> @t918 (= (tptp.hAPP (tptp.hAPP @t874 @t852) @t807) @t901))))) % 1.42/1.67 (assume @p609 (forall (@list @t162 @t161 @t159 @t160 @t8) (=> @t594 (=> @t919 (=> (not (= @t159 @t54)) (= (= (tptp.hAPP (tptp.hAPP @t876 @t161) @t160) (tptp.hAPP (tptp.hAPP @t876 @t162) @t159)) (= @t166 @t167))))))) % 1.42/1.67 (assume @p610 (forall @t669 (=> @t920 (=> @t911 (= @t913 @t910))))) % 1.42/1.67 (assume @p611 (forall @t921 (=> @t920 (=> @t911 (= @t915 @t914))))) % 1.42/1.67 (assume @p612 (forall @t869 (=> @t643 (=> @t918 (=> (= @t117 @t172) (= @t891 @t23)))))) % 1.42/1.67 (assume @p613 (forall @t853 (=> @t643 (=> @t918 (=> (= @t172 @t117) (= @t23 @t891)))))) % 1.42/1.67 (assume @p614 (forall @t74 (=> @t630 (and (=> @t190 (= @t922 @t31)) @t923)))) % 1.42/1.67 (assume @p615 (forall @t74 (=> @t643 @t923))) % 1.42/1.67 (assume @p616 (forall @t156 (=> @t920 (=> (not @t342) (= (= @t924 @t226) @t144))))) % 1.42/1.67 (assume @p617 (forall @t927 (=> @t908 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t18 @t66) (tptp.hAPP (tptp.hAPP @t24 @t926) @t925))))) % 1.42/1.67 (assume @p618 (forall @t927 (=> @t908 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t18 @t90) (tptp.hAPP (tptp.hAPP @t21 @t926) @t925))))) % 1.42/1.67 (assume @p619 (forall @t858 (=> @t643 (=> @t341 @t907)))) % 1.42/1.67 (assume @p620 (forall @t858 (=> @t643 (=> @t341 @t906)))) % 1.42/1.67 (assume @p621 (forall (@list @t32 @t23 @t117 @t18) (=> @t523 (=> @t341 @t903)))) % 1.42/1.67 (assume @p622 (forall @t51 (=> @t908 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t18 @t201) @t38)))) % 1.42/1.67 (assume @p623 (forall @t192 (=> @t710 (= (tptp.hAPP @t928 @t61) (tptp.hAPP (tptp.hAPP @t33 @t929) @t32))))) % 1.42/1.67 (assume @p624 (= @t930 @t561)) % 1.42/1.67 (assume @p625 (forall @t932 (= (= @t931 @t561) @t76))) % 1.42/1.67 (assume @p626 (forall @t122 (=> @t523 @t933))) % 1.42/1.67 (assume @p627 (forall @t122 (=> @t643 @t933))) % 1.42/1.67 (assume @p628 (forall @t74 (=> @t523 @t934))) % 1.42/1.67 (assume @p629 (forall @t74 (=> @t643 @t934))) % 1.42/1.67 (assume @p630 (forall @t229 (= (tptp.hAPP @t938 @t936) @t935))) % 1.42/1.67 (assume @p631 (forall (@list @t183 @t32 @t62) (= (tptp.hAPP @t938 (tptp.hAPP (tptp.hAPP @t438 @t936) @t183)) (tptp.hAPP (tptp.hAPP @t438 @t935) @t183)))) % 1.42/1.67 (assume @p632 (forall @t940 (= (= (tptp.hAPP @t533 @t931) @t939) (and @t76 @t231)))) % 1.42/1.67 (assume @p633 (forall @t229 (= @t942 @t941))) % 1.42/1.67 (assume @p634 (forall @t229 (= @t941 @t942))) % 1.42/1.67 (assume @p635 (= @t943 @t454)) % 1.42/1.67 (assume @p636 (forall @t927 (=> @t908 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t18 @t944) (tptp.hAPP (tptp.hAPP @t33 @t926) @t32))))) % 1.42/1.67 (assume @p637 (forall @t751 (= @t747 @t947))) % 1.42/1.67 (assume @p638 (forall @t229 (= @t949 @t948))) % 1.42/1.67 (assume @p639 (forall @t229 (= @t948 @t949))) % 1.42/1.67 (assume @p640 (forall @t86 (=> @t908 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t18 @t579) (tptp.hAPP @t83 @t926))))) % 1.42/1.67 (assume @p641 (forall @t955 (=> @t710 (=> @t954 (= (tptp.hAPP (tptp.hAPP @t24 @t183) @t899) @t953))))) % 1.42/1.67 (assume @p642 (forall @t959 (=> @t523 (=> @t958 (= (tptp.hAPP @t318 @t957) (tptp.hAPP (tptp.hAPP @t874 (tptp.hAPP (tptp.hAPP @t24 @t956) @t185)) @t183)))))) % 1.42/1.67 (assume @p643 (forall @t961 (=> @t710 (=> @t954 (= (tptp.hAPP @t960 @t183) @t953))))) % 1.42/1.67 (assume @p644 (forall @t959 (=> @t523 (=> @t958 (= (tptp.hAPP (tptp.hAPP @t24 @t962) @t185) (tptp.hAPP @t952 @t183)))))) % 1.42/1.67 (assume @p645 (forall @t966 (=> @t523 (=> @t954 (=> @t958 (= (tptp.hAPP @t960 @t965) (tptp.hAPP (tptp.hAPP @t874 (tptp.hAPP (tptp.hAPP @t24 @t184) @t964)) @t963))))))) % 1.42/1.67 (assume @p646 (forall @t966 (=> @t523 (=> @t954 (=> @t958 (= (tptp.hAPP (tptp.hAPP @t422 @t899) @t965) (tptp.hAPP (tptp.hAPP @t874 (tptp.hAPP (tptp.hAPP @t422 @t184) @t964)) @t963))))))) % 1.42/1.67 (assume @p647 (forall @t959 (=> @t523 (=> @t958 (= (tptp.hAPP (tptp.hAPP @t422 @t962) @t185) (tptp.hAPP (tptp.hAPP @t874 (tptp.hAPP @t465 @t951)) @t183)))))) % 1.42/1.67 (assume @p648 (forall @t959 (=> @t523 (=> @t958 (= (tptp.hAPP @t465 @t957) (tptp.hAPP (tptp.hAPP @t874 (tptp.hAPP (tptp.hAPP @t422 @t956) @t185)) @t183)))))) % 1.42/1.67 (assume @p649 (forall (@list @t371 @t123 @t126 @t117 @t23 @t18) (=> (tptp.class_RealVector_Oreal__field @t18) (= (tptp.hAPP (tptp.hAPP @t874 (tptp.hAPP @t468 (tptp.hAPP @t806 @t123))) @t371) (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t120 (tptp.hAPP (tptp.hAPP @t874 (tptp.hAPP @t469 @t123)) @t371))) (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP (tptp.hAPP @t874 (tptp.hAPP @t428 @t126)) @t371)) @t123)))))) % 1.42/1.67 (assume @p650 (forall @t74 (=> @t643 (=> @t191 @t934)))) % 1.42/1.67 (assume @p651 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t540) @t454)) % 1.42/1.67 (assume @p652 (forall @t235 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint @t579) (tptp.hAPP @t562 @t937)))) % 1.42/1.67 (assume @p653 (forall @t780 (=> @t763 (=> @t779 (=> @t793 (=> @t879 (tptp.c_Deriv_Oderiv @t8 @t878 @t161 (tptp.hAPP (tptp.hAPP @t876 (tptp.hAPP (tptp.hAPP @t451 @t799) @t800)) (tptp.hAPP (tptp.hAPP @t163 @t777) @t777))))))))) % 1.42/1.67 (assume @p654 (forall (@list @t371 @t117 @t23 @t18) (=> @t889 (=> @t191 (=> @t341 (= (tptp.hAPP (tptp.hAPP @t874 @t678) @t371) (tptp.hAPP @t516 (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP @t676 (tptp.hAPP @t898 @t371))) @t627)))))))) % 1.42/1.67 (assume @p655 (forall @t968 (=> @t967 (= @t881 (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 (tptp.hAPP (tptp.c_COMBC @t8 @t8 @t8 @t152) @t226) @t75 @t54))))) % 1.42/1.67 (assume @p656 (forall (@list @t23 @t117 @t210 @t69 @t185 @t16 @t18) (=> @t523 (=> @t970 (=> @t765 (=> (= @t117 (tptp.hAPP (tptp.hAPP @t874 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t969) @t871)) @t872)) (tptp.c_Polynomial_Opdivmod__rel @t18 @t875 @t185 @t204 (tptp.hAPP (tptp.hAPP @t423 @t969) (tptp.hAPP @t381 @t185))))))))) % 1.42/1.67 (assume @p657 (forall (@list @t32 @t16) (= (tptp.hAPP (tptp.hAPP @t404 @t885) @t32) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t505 @t16) @t32))))) % 1.42/1.67 (assume @p658 (forall @t751 (= (= @t946 @t945) @t376))) % 1.42/1.67 (assume @p659 (forall @t234 (= (= @t939 @t931) @t265))) % 1.42/1.67 (assume @p660 (forall (@list @t971 @t141 @t160 @t8) (=> @t594 (= (tptp.c_Polynomial_Opdivmod__rel @t8 @t10 @t160 @t141 @t971) (and @t680 @t972))))) % 1.42/1.67 (assume @p661 (forall (@list @t971 @t141 @t161 @t8) (=> @t594 (= (tptp.c_Polynomial_Opdivmod__rel @t8 @t161 @t10 @t141 @t971) (and @t680 (= @t971 @t161)))))) % 1.42/1.67 (assume @p662 (forall @t345 (=> @t523 (tptp.c_Polynomial_Opdivmod__rel @t18 @t43 @t185 @t43 @t43)))) % 1.42/1.67 (assume @p663 (forall @t46 (=> @t523 (tptp.c_Polynomial_Opdivmod__rel @t18 @t16 @t43 @t43 @t16)))) % 1.42/1.67 (assume @p664 (forall (@list @t23 @t210 @t69 @t185 @t16 @t18) (=> @t523 (=> @t970 (tptp.c_Polynomial_Opdivmod__rel @t18 @t782 @t185 @t366 (tptp.hAPP @t365 @t210)))))) % 1.42/1.67 (assume @p665 (forall @t981 (=> @t523 (=> @t980 (=> @t979 (and @t978 @t975)))))) % 1.42/1.67 (assume @p666 (forall @t981 (=> @t523 (=> @t980 (=> @t979 @t975))))) % 1.42/1.67 (assume @p667 (forall @t981 (=> @t523 (=> @t980 (=> @t979 @t978))))) % 1.42/1.67 (assume @p668 (forall (@list @t210 @t69 @t185 @t16 @t18) (=> @t523 (=> @t970 (= @t764 @t210))))) % 1.42/1.67 (assume @p669 (forall (@list @t982 @t983 @t8) (=> @t967 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t983 @t13 @t982) @t982)))) % 1.42/1.67 (assume @p670 (forall (@list @t982 @t75 @t983 @t8) (=> @t967 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t983 @t595 @t982) (tptp.c_Nat_Osemiring__1__class_Oof__nat__aux @t8 @t983 @t75 (tptp.hAPP @t983 @t982)))))) % 1.42/1.67 (assume @p671 (forall (@list @t984 @t986 @t183 @t210 @t69 @t185 @t16 @t18) (=> @t523 (=> @t970 (=> (tptp.c_Polynomial_Opdivmod__rel @t18 @t69 @t183 @t986 @t984) (tptp.c_Polynomial_Opdivmod__rel @t18 @t16 (tptp.hAPP @t985 @t183) @t986 (tptp.hAPP (tptp.hAPP @t91 (tptp.hAPP @t985 @t984)) @t210))))))) % 1.42/1.67 (assume @p672 (forall (@list @t210 @t69 @t185 @t16 @t23 @t18) (=> @t523 (=> @t191 (=> @t970 (tptp.c_Polynomial_Opdivmod__rel @t18 @t16 @t796 (tptp.hAPP (tptp.hAPP @t364 @t628) @t69) @t210)))))) % 1.42/1.67 (assume @p673 (= @t561 @t930)) % 1.42/1.67 (assume @p674 (forall @t560 (= (tptp.hAPP (tptp.hAPP @t438 @t885) @t884) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint (tptp.hAPP @t278 @t185))))) % 1.42/1.67 (assume @p675 (forall @t560 (= (tptp.hAPP (tptp.hAPP @t407 @t885) @t884) (tptp.c_Nat_Osemiring__1__class_Oof__nat tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t87 @t16) @t185))))) % 1.42/1.67 (assume @p676 (= @t454 @t943)) % 1.42/1.67 (assume @p677 (forall @t751 (= @t947 @t747))) % 1.42/1.67 (assume @p678 (forall (@list @t971 @t141 @t160 @t161 @t8) (=> @t594 (= (tptp.c_Polynomial_Opdivmod__rel @t8 @t161 @t160 @t141 @t971) (and (= @t161 (tptp.hAPP (tptp.hAPP @t349 (tptp.hAPP @t348 @t160)) @t971)) (=> @t592 @t680) (=> (not @t592) (or @t972 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t8 @t971) (tptp.c_Polynomial_Odegree @t8 @t160))))))))) % 1.42/1.67 (assume @p679 (forall @t989 (=> @t988 (= @t987 (tptp.hAPP (tptp.hAPP @t163 (tptp.c_Nat_Osemiring__1__class_Oof__nat @t8 @t595)) (tptp.hAPP @t174 @t595)))))) % 1.42/1.67 (assume @p680 (forall @t991 (=> @t67 (=> @t990 (= (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP @t70 @t509)) @t16) @t331))))) % 1.42/1.67 (assume @p681 (forall @t236 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t13)))) % 1.42/1.67 (assume @p682 (forall @t229 (=> @t993 @t992))) % 1.42/1.67 (assume @p683 (forall @t236 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t552))) % 1.42/1.67 (assume @p684 (forall @t236 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t552))) % 1.42/1.67 (assume @p685 (forall @t968 (=> @t995 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t54 @t881) @t994)))) % 1.42/1.67 (assume @p686 (forall @t905 (=> @t995 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t904 @t881) @t996)))) % 1.42/1.67 (assume @p687 (forall @t927 (=> @t998 (=> @t993 @t997)))) % 1.42/1.67 (assume @p688 (forall @t927 (=> @t998 (=> @t997 @t993)))) % 1.42/1.67 (assume @p689 (forall @t259 (=> @t1002 (=> @t1001 (=> @t1000 @t999))))) % 1.42/1.67 (assume @p690 (forall @t259 (=> @t1002 (=> @t1001 (=> @t1000 @t1003))))) % 1.42/1.67 (assume @p691 (forall @t135 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t18) @t1006))) % 1.42/1.67 (assume @p692 (forall @t135 (=> @t1007 @t1006))) % 1.42/1.67 (assume @p693 (forall @t135 (=> @t1007 (=> @t1005 (=> @t1004 @t1003))))) % 1.42/1.67 (assume @p694 (forall @t122 (=> @t1002 (=> @t1010 (=> @t1009 @t1008))))) % 1.42/1.67 (assume @p695 (forall @t122 (=> @t1007 (=> @t1010 (=> @t1012 @t1011))))) % 1.42/1.67 (assume @p696 (forall @t669 (=> @t223 (=> @t1015 (= @t1014 @t1013))))) % 1.42/1.67 (assume @p697 (forall @t858 (=> @t1007 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t119) @t1017)))) % 1.42/1.67 (assume @p698 (forall @t122 (=> @t1007 (=> @t1008 @t1017)))) % 1.42/1.67 (assume @p699 (forall @t122 (=> @t1007 (=> @t1016 (=> @t1009 (tptp.c_Orderings_Oord__class_Oless @t18 @t119 @t31)))))) % 1.42/1.67 (assume @p700 (forall @t122 (=> @t1007 (=> @t1016 (=> @t1009 @t1011))))) % 1.42/1.67 (assume @p701 (forall @t122 (=> @t1007 (=> @t1016 (=> @t1012 @t1008))))) % 1.42/1.67 (assume @p702 (forall @t669 (=> @t223 (=> @t1019 (= @t1014 @t1018))))) % 1.42/1.67 (assume @p703 (forall @t669 (=> @t223 (= @t1014 @t1020)))) % 1.42/1.67 (assume @p704 (forall @t670 (=> @t223 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t180 @t176) @t1020)))) % 1.42/1.67 (assume @p705 (forall @t74 (=> @t1021 (not (tptp.c_Orderings_Oord__class_Oless @t18 @t608 @t31))))) % 1.42/1.67 (assume @p706 (forall @t135 (=> @t998 (=> @t1016 (=> @t1022 (tptp.c_Orderings_Oord__class_Oless @t18 @t117 @t127)))))) % 1.42/1.67 (assume @p707 (forall @t122 (=> @t1023 (=> @t1010 (=> @t1009 (tptp.c_Orderings_Oord__class_Oless @t18 @t131 @t31)))))) % 1.42/1.67 (assume @p708 (forall @t122 (=> @t1023 (=> @t1016 (=> @t1012 (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t131)))))) % 1.42/1.67 (assume @p709 (forall @t298 (=> @t297 @t1025))) % 1.42/1.67 (assume @p710 (forall @t298 (=> @t297 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t54 @t296) @t1026)))) % 1.42/1.67 (assume @p711 (forall @t298 (=> @t1027 @t1025))) % 1.42/1.67 (assume @p712 (forall @t343 (=> @t1028 (= @t1018 (tptp.c_Orderings_Oord__class_Oless @t8 @t456 @t54))))) % 1.42/1.67 (assume @p713 (forall @t51 (=> @t998 (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t38)))) % 1.42/1.67 (assume @p714 (forall @t51 (=> @t998 (not (tptp.c_Orderings_Oord__class_Oless @t18 @t38 @t31))))) % 1.42/1.67 (assume @p715 (forall @t1033 (=> @t998 (=> @t1032 (=> @t1031 (tptp.c_Orderings_Oord__class_Oless @t18 @t61 @t1030)))))) % 1.42/1.67 (assume @p716 (forall @t68 (=> @t998 (=> @t1031 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t63 @t61) @t993))))) % 1.42/1.67 (assume @p717 (forall (@list @t160 @t161 @t143 @t8) (=> @t995 (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t226 @t143) (= (tptp.c_Orderings_Oord__class_Oless @t8 (tptp.hAPP @t1035 @t161) (tptp.hAPP @t1035 @t160)) @t1034))))) % 1.42/1.67 (assume @p718 (forall @t853 (=> @t1037 (=> @t1036 @t1005)))) % 1.42/1.67 (assume @p719 (forall @t642 (=> @t1037 (=> @t1038 @t1005)))) % 1.42/1.67 (assume @p720 (forall @t133 (=> @t1039 (=> @t1005 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t126 @t123) (tptp.c_Orderings_Oord__class_Oless @t18 @t127 @t125)))))) % 1.42/1.67 (assume @p721 (forall @t135 (=> @t1039 (=> @t1005 @t1036)))) % 1.42/1.67 (assume @p722 (forall @t135 (=> @t1039 (=> @t1005 @t1038)))) % 1.42/1.67 (assume @p723 (forall @t669 (=> @t1040 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t254 (tptp.hAPP @t253 @t143)) @t1018)))) % 1.42/1.67 (assume @p724 (forall @t670 (=> @t1040 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t249 (tptp.hAPP @t153 @t174)) @t1018)))) % 1.42/1.67 (assume @p725 (forall @t182 (=> @t1028 (=> @t457 (= @t1018 (tptp.c_Orderings_Oord__class_Oless @t8 @t174 @t177)))))) % 1.42/1.67 (assume @p726 (forall @t156 (=> @t1028 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t554 @t553) @t1018)))) % 1.42/1.67 (assume @p727 (forall @t343 (=> @t1028 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t553 @t143) (tptp.c_Orderings_Oord__class_Oless @t8 @t554 @t55))))) % 1.42/1.67 (assume @p728 (forall @t343 (=> @t1028 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t55 @t554) (tptp.c_Orderings_Oord__class_Oless @t8 @t143 @t553))))) % 1.42/1.67 (assume @p729 (forall @t236 (=> @t37 @t990))) % 1.42/1.67 (assume @p730 (forall @t229 (=> @t993 @t37))) % 1.42/1.67 (assume @p731 (forall @t932 (= @t77 @t994))) % 1.42/1.67 (assume @p732 (forall @t524 (=> @t1045 @t1044))) % 1.42/1.67 (assume @p733 (forall @t236 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t32)))) % 1.42/1.67 (assume @p734 (forall @t234 (= (not @t265) (or @t996 @t1046)))) % 1.42/1.67 (assume @p735 (forall @t560 (=> @t742 (=> (not @t1047) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t185 @t16))))) % 1.42/1.67 (assume @p736 (forall @t477 (=> @t1048 @t400))) % 1.42/1.67 (assume @p737 (forall (@list @t1049 @t1050) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1050 @t1049) (not (= @t1050 @t1049))))) % 1.42/1.67 (assume @p738 (forall (@list @t687 @t75 @t230) (=> (=> @t996 @t1051) (=> (=> @t265 @t1051) (=> (=> @t1046 @t1051) @t1051))))) % 1.42/1.67 (assume @p739 (forall (@list @t833 @t32 @t62) (=> @t993 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t62 @t833) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t1052 @t32) (tptp.hAPP @t1052 @t62)))))) % 1.42/1.67 (assume @p740 (forall (@list @t32 @t239 @t303) (=> @t1053 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t418 @t303) @t32) @t239)))) % 1.42/1.67 (assume @p741 (forall @t460 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t306 @t239) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t304 @t239)))) % 1.42/1.67 (assume @p742 (forall (@list @t32 @t62 @t833 @t239) (=> @t1054 (=> (= (tptp.hAPP @t65 @t833) @t474) @t993)))) % 1.42/1.67 (assume @p743 (forall (@list @t833 @t239 @t303 @t304) (=> @t1056 (=> @t1054 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1055 (tptp.hAPP @t475 @t833)))))) % 1.42/1.67 (assume @p744 (forall @t460 (=> @t1056 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1055 @t476)))) % 1.42/1.67 (assume @p745 (forall @t1057 (=> @t1056 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t304 (tptp.hAPP @t65 @t303))))) % 1.42/1.67 (assume @p746 (forall @t1057 (=> @t1056 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t304 (tptp.hAPP @t475 @t62))))) % 1.42/1.67 (assume @p747 (forall @t271 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t285 @t284) @t996))) % 1.42/1.67 (assume @p748 (forall (@list @t304 @t303) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t475 @t304) @t304)))) % 1.42/1.67 (assume @p749 (forall (@list @t303 @t304) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t306 @t304)))) % 1.42/1.67 (assume @p750 (forall @t229 (=> @t992 @t993))) % 1.42/1.67 (assume @p751 (forall @t229 (=> @t1058 @t993))) % 1.42/1.67 (assume @p752 (forall @t229 (=> @t1060 (=> @t1059 @t399)))) % 1.42/1.67 (assume @p753 (forall @t460 (=> @t1056 (=> @t1053 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1061 @t239))))) % 1.42/1.67 (assume @p754 (forall @t229 (=> @t993 (=> (not (= @t579 @t32)) @t1058)))) % 1.42/1.67 (assume @p755 (forall @t229 (=> @t993 @t1060))) % 1.42/1.67 (assume @p756 (forall @t477 (=> (not @t1048) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t579) @t399)))) % 1.42/1.67 (assume @p757 (forall @t940 (=> (not @t1046) (= @t1063 (= @t75 @t230))))) % 1.42/1.67 (assume @p758 (forall @t234 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1062 @t595) @t996))) % 1.42/1.67 (assume @p759 (forall @t234 (= @t1064 (or @t996 @t265)))) % 1.42/1.67 (assume @p760 (forall @t234 (= (not @t996) @t1063))) % 1.42/1.67 (assume @p761 (forall @t192 (=> @t998 (=> @t1031 (=> @t990 (tptp.c_Orderings_Oord__class_Oless @t18 @t38 @t61)))))) % 1.42/1.67 (assume @p762 (forall @t1033 (=> @t998 (=> @t1032 (=> @t1016 (=> @t1065 (tptp.c_Orderings_Oord__class_Oless @t18 @t1030 @t61))))))) % 1.42/1.67 (assume @p763 (forall @t46 (=> @t1066 (not (tptp.c_Orderings_Oord__class_Oless @t18 @t16 @t16))))) % 1.42/1.67 (assume @p764 (forall @t224 (=> @t1069 (= @t749 (or @t1068 @t1067))))) % 1.42/1.67 (assume @p765 (forall @t224 (=> @t1069 (= @t1070 (or @t1067 @t376))))) % 1.42/1.67 (assume @p766 (forall @t524 (=> @t1071 (or @t1042 @t559 @t1041)))) % 1.42/1.67 (assume @p767 (forall (@list @t161 @t160 @t8) (=> @t1069 (=> (not @t1067) (= @t1070 @t376))))) % 1.42/1.67 (assume @p768 (forall @t524 (=> @t1071 @t1044))) % 1.42/1.67 (assume @p769 (forall @t524 (=> @t1072 (=> @t1042 @t742)))) % 1.42/1.67 (assume @p770 (forall @t524 (=> @t1066 (=> @t1042 (not @t1041))))) % 1.42/1.67 (assume @p771 (forall @t524 (=> @t1072 (=> @t1042 @t741)))) % 1.42/1.67 (assume @p772 (forall @t122 (=> @t1066 (=> @t1005 (not @t1001))))) % 1.42/1.67 (assume @p773 (forall @t858 (=> @t1072 (=> @t1001 (not @t1005))))) % 1.42/1.67 (assume @p774 (forall @t135 (=> @t1074 (=> @t212 (=> @t1022 @t1073))))) % 1.42/1.67 (assume @p775 (forall @t135 (=> @t1072 (=> @t212 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t126 @t117) @t1075))))) % 1.42/1.67 (assume @p776 (forall @t135 (=> @t1074 (=> @t1005 (=> @t255 @t1073))))) % 1.42/1.67 (assume @p777 (forall @t259 (=> @t1072 (=> @t1001 (=> @t255 @t1075))))) % 1.42/1.67 (assume @p778 (forall @t187 (=> @t1066 (=> @t1042 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t185 @t183) (tptp.c_Orderings_Oord__class_Oless @t18 @t16 @t183)))))) % 1.42/1.67 (assume @p779 (forall @t961 (=> @t1072 (=> @t1041 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t183 @t185) (tptp.c_Orderings_Oord__class_Oless @t18 @t183 @t16)))))) % 1.42/1.67 (assume @p780 (forall @t524 (=> @t1071 (=> @t1043 (=> @t742 @t1041))))) % 1.42/1.67 (assume @p781 (forall (@list @t687 @t263 @t8) (=> @t772 (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t263 @t769) (not @t771))))) % 1.42/1.67 (assume @p782 (forall @t229 @t1076)) % 1.42/1.67 (assume @p783 (forall @t298 (=> @t1027 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t55 @t553) @t1024)))) % 1.42/1.67 (assume @p784 (forall @t298 (=> @t297 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t553 @t55) @t1026)))) % 1.42/1.67 (assume @p785 (forall @t298 (=> @t1028 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t553 @t54) @t1026)))) % 1.42/1.67 (assume @p786 (forall @t298 (=> @t1028 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t54 @t553) @t1024)))) % 1.42/1.67 (assume @p787 (forall @t927 (=> @t998 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t38 @t62) (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t38 @t32) (tptp.c_Orderings_Oord__class_Oless @t18 @t38 (tptp.hAPP @t511 @t32))))))) % 1.42/1.67 (assume @p788 (forall @t192 (=> @t998 (=> @t1016 (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t61))))) % 1.42/1.67 (assume @p789 (forall @t74 (=> @t998 (tptp.c_Orderings_Oord__class_Oless @t18 @t23 @t213)))) % 1.42/1.67 (assume @p790 (forall @t343 (=> @t1079 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t54 @t924) (or (and @t1026 @t1078) (and @t1024 @t1077)))))) % 1.42/1.67 (assume @p791 (forall @t343 (=> @t1079 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t924 @t54) (or (and @t1026 @t1077) (and @t1024 @t1078)))))) % 1.42/1.67 (assume @p792 (forall @t524 (=> @t1083 (=> @t1082 (=> @t1081 @t1080))))) % 1.42/1.67 (assume @p793 (forall @t524 (=> @t1083 (=> @t1082 (=> @t1085 @t1084))))) % 1.42/1.67 (assume @p794 (forall @t524 (=> @t1083 (=> @t1086 (=> @t1081 @t1084))))) % 1.42/1.67 (assume @p795 (forall @t524 (=> @t1083 (=> @t1086 (=> @t1085 @t1080))))) % 1.42/1.67 (assume @p796 (forall @t135 (=> @t1083 (=> @t1005 (=> @t1004 @t1087))))) % 1.42/1.67 (assume @p797 (forall @t259 (=> @t1083 (=> @t1001 (=> @t1000 @t1087))))) % 1.42/1.67 (assume @p798 (forall (@list @t75 @t230 @t55 @t8) (=> @t995 (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t226 @t55) (= (= (tptp.hAPP @t79 @t230) @t80) @t265))))) % 1.42/1.67 (assume @p799 (forall @t86 (=> @t998 (not (tptp.c_Orderings_Oord__class_Oless @t18 @t926 @t31))))) % 1.42/1.67 (assume @p800 (forall @t298 (=> @t1079 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t54 @t636) @t1026)))) % 1.42/1.67 (assume @p801 (forall @t298 (=> @t1079 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t636 @t54) @t1024)))) % 1.42/1.67 (assume @p802 (forall @t74 (=> @t1083 (=> @t1016 @t1088)))) % 1.42/1.67 (assume @p803 (forall @t74 (=> @t1083 (=> @t1088 (=> @t191 @t1016))))) % 1.42/1.67 (assume @p804 (forall @t74 (=> @t1083 (=> @t1010 @t1089)))) % 1.42/1.67 (assume @p805 (forall @t122 (=> @t1083 (=> @t1005 (=> @t1016 @t1090))))) % 1.42/1.67 (assume @p806 (forall @t122 (=> @t1083 (=> @t1005 (=> @t1009 @t1090))))) % 1.42/1.67 (assume @p807 (forall @t74 (=> @t1083 (=> @t1089 (=> @t191 @t1010))))) % 1.42/1.67 (assume @p808 (forall @t122 (=> @t1083 (=> @t1091 (=> @t1016 @t1001))))) % 1.42/1.67 (assume @p809 (forall @t122 (=> @t1083 (=> @t1091 (=> @t1009 @t1001))))) % 1.42/1.67 (assume @p810 (forall @t234 (= @t1064 (or @t231 (exists (@list @t1092) (and (= @t230 (tptp.hAPP tptp.c_Nat_OSuc @t1092)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1092 @t75))))))) % 1.42/1.67 (assume @p811 (forall @t932 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t75 @t540) @t76))) % 1.42/1.67 (assume @p812 (forall @t932 (= @t994 (exists (@list @t1093) (= @t75 (tptp.hAPP tptp.c_Nat_OSuc @t1093)))))) % 1.42/1.67 (assume @p813 (forall @t477 (=> @t990 (=> @t745 @t1094)))) % 1.42/1.67 (assume @p814 (forall @t229 (=> @t1094 (=> @t993 (not @t744))))) % 1.42/1.67 (assume @p815 (forall @t234 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t233) (or @t1095 @t994)))) % 1.42/1.67 (assume @p816 (forall @t234 (= @t996 (exists @t716 (= @t75 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t232 @t683))))))) % 1.42/1.67 (assume @p817 (forall @t1096 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t304 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t65 @t304))))) % 1.42/1.67 (assume @p818 (forall @t1096 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t304 (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t305 @t62))))) % 1.42/1.67 (assume @p819 (forall @t460 (=> @t1056 (=> @t1097 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t287 @t304) (tptp.hAPP @t287 @t303)))))) % 1.42/1.67 (assume @p820 (forall @t460 (=> @t1056 (=> @t1097 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t308 @t239) (tptp.hAPP @t307 @t239)))))) % 1.42/1.67 (assume @p821 (forall @t275 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t274 @t273) @t1099))) % 1.42/1.67 (assume @p822 (forall @t271 (= @t1100 @t1099))) % 1.42/1.67 (assume @p823 (forall @t234 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t262) (and @t1095 @t994)))) % 1.42/1.67 (assume @p824 (forall @t271 (=> @t1098 (= @t1100 @t996)))) % 1.42/1.67 (assume @p825 (forall @t271 (=> @t1098 (= @t270 @t265)))) % 1.42/1.67 (assume @p826 (forall @t477 (=> @t990 (=> @t1094 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t472 @t62))))) % 1.42/1.67 (assume @p827 (forall @t940 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 (tptp.hAPP @t880 @t230)) @t996))) % 1.42/1.67 (assume @p828 (forall @t271 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t589 @t588) @t996))) % 1.42/1.67 (assume @p829 (forall @t229 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t472 @t579))) % 1.42/1.67 (assume @p830 (forall @t229 (=> @t1059 (= (tptp.hAPP @t276 @t472) @t62)))) % 1.42/1.67 (assume @p831 (forall (@list @t263 @t1101 @t982) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t982 (tptp.hAPP (tptp.hAPP @t418 @t1101) @t263)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t64 @t982) @t263) @t1101)))) % 1.42/1.67 (assume @p832 (forall @t477 (=> @t990 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t830 @t32)))) % 1.42/1.67 (assume @p833 (forall @t229 (and @t1076 @t1102))) % 1.42/1.67 (assume @p834 (forall @t229 @t1102)) % 1.42/1.67 (assume @p835 (forall (@list @t32 @t62 @t304) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t304) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t1103 @t62) (tptp.hAPP @t1103 @t32)) @t993)))) % 1.42/1.67 (assume @p836 (forall @t1106 (= @t1105 (or @t1104 @t76)))) % 1.42/1.67 (assume @p837 (forall (@list @t17 @t69 @t18) (=> @t93 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t502 @t461) (= @t1107 @t461))))) % 1.42/1.67 (assume @p838 (forall @t504 (=> @t93 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t461 @t502) (= @t1107 @t502))))) % 1.42/1.67 (assume @p839 (forall @t1110 (=> @t93 (=> @t1109 (=> @t1108 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1107 @t32)))))) % 1.42/1.67 (assume @p840 (forall @t989 (=> @t988 (= (tptp.c_Transcendental_Odiffs @t8 (tptp.hAPP @t591 @t174) @t75) (tptp.hAPP @t538 @t987))))) % 1.42/1.67 (assume @p841 (forall @t524 (=> @t523 (=> @t1111 (= @t764 @t16))))) % 1.42/1.67 (assume @p842 (forall @t1110 (=> @t426 (=> @t1109 (=> @t1108 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t18 @t425) @t32)))))) % 1.42/1.67 (assume @p843 (forall @t524 (=> @t1021 (not (tptp.c_Orderings_Oord__class_Oless @t18 (tptp.hAPP (tptp.hAPP @t24 @t513) (tptp.hAPP @t326 @t185)) @t31))))) % 1.42/1.67 (assume @p844 (forall @t224 (=> @t223 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t54 @t222) (or @t768 @t919))))) % 1.42/1.67 (assume @p845 (forall @t51 (=> @t998 (tptp.c_Orderings_Oord__class_Oless @t18 @t31 @t84)))) % 1.42/1.67 (assume @p846 (forall @t486 (=> @t1113 (= @t1112 (tptp.c_Orderings_Oord__class_Oless @t8 @t174 @t487))))) % 1.42/1.67 (assume @p847 (forall @t486 (=> @t1113 (= @t1112 (tptp.c_Orderings_Oord__class_Oless @t8 @t481 @t177))))) % 1.42/1.67 (assume @p848 (forall @t252 (=> @t1079 (= @t1118 (and (=> @t1019 @t1117) (=> @t1116 (and (=> @t1015 @t1115) (=> @t1114 @t1024)))))))) % 1.42/1.67 (assume @p849 (forall @t916 (=> @t1079 (= @t1119 (and (=> @t1019 @t1115) (=> @t1116 (and (=> @t1015 @t1117) (=> @t1114 @t1026)))))))) % 1.42/1.67 (assume @p850 (forall @t669 (=> @t1120 (=> @t1019 (= @t1118 @t1117))))) % 1.42/1.67 (assume @p851 (forall @t921 (=> @t1120 (=> @t1019 (= @t1119 @t1115))))) % 1.42/1.67 (assume @p852 (forall @t961 (=> @t1083 (=> @t1081 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t16 @t951) (tptp.c_Orderings_Oord__class_Oless @t18 @t899 @t183)))))) % 1.42/1.67 (assume @p853 (forall @t955 (=> @t1083 (=> @t1081 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t951 @t16) (tptp.c_Orderings_Oord__class_Oless @t18 @t183 @t899)))))) % 1.42/1.67 (assume @p854 (forall @t669 (=> @t1120 (=> @t1015 (= @t1118 @t1115))))) % 1.42/1.67 (assume @p855 (forall @t921 (=> @t1120 (=> @t1015 (= @t1119 @t1117))))) % 1.42/1.67 (assume @p856 (forall @t259 (=> @t1083 (=> @t1001 (=> @t1004 @t1122))))) % 1.42/1.67 (assume @p857 (forall @t135 (=> @t1083 (=> @t1005 (=> @t1000 @t1122))))) % 1.42/1.67 (assume @p858 (forall @t192 (=> @t998 (=> @t1031 (tptp.c_Orderings_Oord__class_Oless @t18 @t38 @t199))))) % 1.42/1.67 (assume @p859 (forall @t192 (=> @t998 (=> @t1031 (tptp.c_Orderings_Oord__class_Oless @t18 @t61 @t199))))) % 1.42/1.67 (assume @p860 (forall @t122 (=> @t1083 (=> @t1005 (tptp.c_Orderings_Oord__class_Oless @t18 @t1123 @t117))))) % 1.42/1.67 (assume @p861 (forall @t122 (=> @t1083 (=> @t1005 (tptp.c_Orderings_Oord__class_Oless @t18 @t23 @t1123))))) % 1.42/1.67 (assume @p862 (forall @t246 (=> @t1079 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t226 @t711) (and (tptp.c_Orderings_Oord__class_Oless @t8 @t54 @t161) (tptp.c_Orderings_Oord__class_Oless @t8 @t161 @t226)))))) % 1.42/1.67 (assume @p863 (forall @t74 (=> @t1083 (=> @t1016 (=> @t1065 (tptp.c_Orderings_Oord__class_Oless @t18 @t38 @t628)))))) % 1.42/1.67 (assume @p864 (forall @t192 (=> @t998 (=> @t1031 (tptp.c_Orderings_Oord__class_Oless @t18 @t38 @t600))))) % 1.42/1.67 (assume @p865 (forall @t477 (=> @t1125 (=> @t1124 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t90))))) % 1.42/1.67 (assume @p866 (forall @t477 (=> @t1125 (=> @t1124 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t238))))) % 1.42/1.67 (assume @p867 (forall @t477 (=> @t1125 (=> @t1124 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t540 @t90))))) % 1.42/1.67 (assume @p868 (forall (@list @t304 @t32) (=> @t990 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t471 @t1061) @t32)))) % 1.42/1.67 (assume @p869 (forall @t236 (=> @t990 (= (tptp.hAPP tptp.c_Nat_OSuc (tptp.hAPP @t471 @t540)) @t32)))) % 1.42/1.67 (assume @p870 (forall @t271 (=> @t1098 (= @t709 @t708)))) % 1.42/1.67 (assume @p871 (forall @t290 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 @t289) @t288)) (=> @t1097 @t745)))) % 1.42/1.67 (assume @p872 (forall @t1132 (= @t1131 (not (or (and @t1130 @t753) (exists @t1129 (and @t1128 (not @t1127)))))))) % 1.42/1.67 (assume @p873 (forall @t1132 (= @t1131 (and (=> @t1130 @t752) (forall @t1129 (=> @t1128 @t1127)))))) % 1.42/1.67 (assume @p874 (forall @t569 (=> @t53 (=> @t1109 (= @t379 @t31))))) % 1.42/1.67 (assume @p875 (forall @t767 (=> @t523 (=> @t765 (or (= @t764 @t43) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t18 @t764) @t871)))))) % 1.42/1.67 (assume @p876 (forall @t192 (=> @t998 (=> @t1016 (=> @t1065 (tptp.c_Orderings_Oord__class_Oless @t18 @t199 @t61)))))) % 1.42/1.67 (assume @p877 (forall @t192 (=> @t998 (=> @t1016 (=> @t1065 (tptp.c_Orderings_Oord__class_Oless @t18 @t600 @t38)))))) % 1.42/1.67 (assume @p878 (forall @t991 (=> @t50 (=> (or @t990 (= @t16 @t38)) (tptp.hBOOL (tptp.hAPP @t646 @t331)))))) % 1.42/1.67 (assume @p879 (forall @t236 (=> @t990 (= @t1133 @t32)))) % 1.42/1.67 (assume @p880 (forall @t236 (=> @t990 (= @t32 @t1133)))) % 1.42/1.67 (assume @p881 (forall @t234 (=> @t1095 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 @t262) @t230)) @t292)))) % 1.42/1.67 (assume @p882 (forall @t234 (=> @t1095 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t689 (tptp.hAPP @t272 @t230)) @t230)) @t292)))) % 1.42/1.67 (assume @p883 (forall (@list @t263 @t75 @t687) (= (tptp.hBOOL (tptp.hAPP @t687 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t75 @t263))) (and (=> @t264 @t755) (=> (not @t264) (forall @t1135 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1092 @t263) (=> (= @t75 (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t267 @t1134)) @t1092)) (tptp.hBOOL (tptp.hAPP @t687 @t1092)))))))))) % 1.42/1.67 (assume @p884 (forall (@list @t69 @t117 @t210 @t126) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t126) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t210 @t117) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t1136 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t69 @t126))) @t210) @t1137))))) % 1.42/1.67 (assume @p885 (forall (@list @t62 @t239) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t201 @t239) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.hAPP tptp.c_Nat_OSuc @t289) @t239) @t201)))) % 1.42/1.67 (assume @p886 (forall @t1106 (= @t1105 (or @t76 @t1104)))) % 1.42/1.67 (assume @p887 (forall @t723 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t541) (or (= @t16 @t13) (= @t16 @t540))))) % 1.42/1.67 (assume @p888 (forall (@list @t160 @t161 @t2 @t8) (=> @t1142 (=> @t1141 (=> @t750 (tptp.c_Orderings_Oord__class_Oless @t8 @t756 (tptp.hAPP @t2 @t160))))))) % 1.42/1.67 (assume @p889 (forall @t477 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1143 @t937))) % 1.42/1.67 (assume @p890 (forall @t460 (=> @t1144 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t438 @t304) @t239) (tptp.hAPP (tptp.hAPP @t438 @t303) @t239))))) % 1.42/1.67 (assume @p891 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t561 @t454)) % 1.42/1.67 (assume @p892 (forall @t460 (=> @t1144 (=> @t1145 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t704 @t304) (tptp.hAPP @t704 @t303)))))) % 1.42/1.67 (assume @p893 (forall @t690 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1146 @t561)))) % 1.42/1.67 (assume @p894 (forall @t234 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t939 @t931) @t996))) % 1.42/1.67 (assume @p895 (forall @t751 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t946 @t945) @t1034))) % 1.42/1.67 (assume @p896 (forall @t1148 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t162 (tptp.hAPP (tptp.hAPP @t438 @t159) @t454)) (or @t1147 (= @t162 @t159))))) % 1.42/1.67 (assume @p897 (forall (@list @t688 @t263) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t263 @t688) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t531 @t263) @t688) @t561)))) % 1.42/1.67 (assume @p898 (forall @t1150 (=> @t1149 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t817 @t117)))) % 1.42/1.67 (assume @p899 (forall @t1150 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t117 @t561) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t117 @t817)))) % 1.42/1.67 (assume @p900 (forall @t229 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t561 @t62) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t62 @t32) (not @t1151))))) % 1.42/1.67 (assume @p901 (forall @t477 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t936 (tptp.hAPP @t533 @t937))))) % 1.42/1.67 (assume @p902 (forall (@list @t159) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t438 (tptp.hAPP @t562 @t159)) @t159) @t561) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t159 @t561)))) % 1.42/1.67 (assume @p903 (forall @t234 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t561 @t230) (= (= (tptp.hAPP (tptp.hAPP @t407 @t230) @t75) @t454) (and (= @t230 @t454) (= @t75 @t454)))))) % 1.42/1.67 (assume @p904 (forall @t1148 (= @t1147 (exists @t375 (= @t159 (tptp.hAPP (tptp.hAPP @t438 @t162) @t1152)))))) % 1.42/1.67 (assume @p905 (forall @t932 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t561 @t931) @t994))) % 1.42/1.67 (assume @p906 (forall @t460 (=> @t1144 (=> @t1097 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t1153 @t304) (tptp.hAPP @t1153 @t303)))))) % 1.42/1.67 (assume @p907 (forall @t236 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1143 @t561))) % 1.42/1.67 (assume @p908 (forall (@list @t2 @t8) (=> @t1142 (=> @t1141 (tptp.c_Orderings_Oorder_Omono tptp.tc_Nat_Onat @t8 @t689 @t2))))) % 1.42/1.67 (assume @p909 (forall (@list @t185 @t183 @t16) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t183) @t1154))) % 1.42/1.67 (assume @p910 (forall @t560 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t16 @t185) @t559 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t185 @t16)))) % 1.42/1.67 (assume @p911 (forall @t281 (=> @t1047 @t1154))) % 1.42/1.67 (assume @p912 (forall @t15 (=> @t1027 (= @t1155 (tptp.c_Orderings_Oord__class_Oless @t8 @t54 @t501))))) % 1.42/1.67 (assume @p913 (forall @t59 (=> @t1027 (= (tptp.c_Polynomial_Opos__poly @t8 @t58) (or @t1155 (and @t12 @t1026)))))) % 1.42/1.67 (assume @p914 (forall @t224 (=> @t1027 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t161 @t160) (tptp.c_Polynomial_Opos__poly @t8 (tptp.hAPP (tptp.hAPP @t452 @t160) @t161)))))) % 1.42/1.67 (assume @p915 (forall @t51 (=> @t1045 (not (tptp.c_Polynomial_Opos__poly @t18 @t43))))) % 1.42/1.67 (assume @p916 (forall @t504 (=> @t1045 (=> @t1157 (=> @t1156 (tptp.c_Polynomial_Opos__poly @t18 @t207)))))) % 1.42/1.67 (assume @p917 (forall @t504 (=> @t1045 (=> @t1157 (=> @t1156 (tptp.c_Polynomial_Opos__poly @t18 @t202)))))) % 1.42/1.67 (assume @p918 (forall @t94 (=> @t1045 (or @t394 @t1157 (tptp.c_Polynomial_Opos__poly @t18 @t543))))) % 1.42/1.67 (assume @p919 (forall (@list @t239 @t62) (=> @t1094 (=> @t1145 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t1158 @t62) @t239) (tptp.hAPP @t1158 (tptp.hAPP @t419 @t540))))))) % 1.42/1.67 (assume @p920 (forall @t723 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t16 @t561) (exists @t375 (= @t16 (tptp.hAPP @t533 @t1152)))))) % 1.42/1.67 (assume @p921 (forall @t252 (=> @t803 (=> @t674 (=> @t663 (= (= @t1159 @t174) (= @t143 @t668))))))) % 1.42/1.67 (assume @p922 (forall (@list @t177 @t143 @t174 @t55 @t8) (=> @t803 (=> @t674 (=> @t911 (=> @t663 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t648 @t174) @t177)) (= (= @t1159 (tptp.c_Divides_Odiv__class_Odiv @t8 @t177 @t174)) (= @t176 @t179))))))))) % 1.42/1.67 (assume @p923 (forall @t853 (=> @t804 (and (=> @t917 (= @t1161 @t31)) @t1162)))) % 1.42/1.67 (assume @p924 (forall @t858 (=> @t804 (=> @t341 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t121 @t117) @t23))))) % 1.42/1.67 (assume @p925 (forall @t858 (=> @t804 (=> @t341 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t119 @t117) @t23))))) % 1.42/1.67 (assume @p926 (forall @t853 (=> @t804 (=> @t918 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t172 @t171) @t1160))))) % 1.42/1.67 (assume @p927 (forall @t853 (=> @t804 @t1162))) % 1.42/1.67 (assume @p928 (forall @t74 (=> @t804 (=> @t191 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t23 @t23) @t38))))) % 1.42/1.67 (assume @p929 (forall @t122 (=> @t804 (=> @t634 (= (tptp.hAPP @t120 @t1163) @t117))))) % 1.42/1.67 (assume @p930 (forall @t869 (=> @t804 (=> @t868 (= (tptp.hAPP @t120 (tptp.c_Divides_Odiv__class_Odiv @t18 @t117 @t126)) (tptp.c_Divides_Odiv__class_Odiv @t18 @t121 @t126)))))) % 1.42/1.67 (assume @p931 (forall @t122 (=> @t804 (=> @t634 (= (tptp.hAPP @t1164 @t23) @t117))))) % 1.42/1.67 (assume @p932 (forall @t135 (=> @t804 (=> @t634 (= (tptp.hAPP @t1164 @t126) (tptp.c_Divides_Odiv__class_Odiv @t18 @t171 @t23)))))) % 1.42/1.67 (assume @p933 (forall (@list @t431 @t183 @t16 @t185 @t18) (=> @t804 (=> @t1167 (=> (tptp.hBOOL (tptp.hAPP @t1166 @t431)) (= (tptp.hAPP (tptp.hAPP @t21 @t1165) (tptp.c_Divides_Odiv__class_Odiv @t18 @t431 @t183)) (tptp.c_Divides_Odiv__class_Odiv @t18 (tptp.hAPP @t22 @t431) @t963))))))) % 1.42/1.67 (assume @p934 (forall @t959 (=> @t804 (=> (tptp.hBOOL (tptp.hAPP @t1166 @t16)) (=> (tptp.hBOOL (tptp.hAPP @t1166 @t185)) (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t319 @t183) (tptp.hAPP (tptp.hAPP @t24 (tptp.c_Divides_Odiv__class_Odiv @t18 @t16 @t183)) (tptp.c_Divides_Odiv__class_Odiv @t18 @t185 @t183)))))))) % 1.42/1.67 (assume @p935 (forall @t122 (=> @t804 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t805 @t117) @t31)))) % 1.42/1.67 (assume @p936 (forall @t767 (=> @t860 (=> @t1167 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t16 @t598) @t1168))))) % 1.42/1.67 (assume @p937 (forall @t767 (=> @t860 (=> @t1167 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t551 @t185) @t1168))))) % 1.42/1.67 (assume @p938 (forall (@list @t32 @t16 @t185 @t18) (=> @t804 (=> @t1167 (= (tptp.hAPP (tptp.hAPP @t33 @t1165) @t32) (tptp.c_Divides_Odiv__class_Odiv @t18 @t331 @t652)))))) % 1.42/1.67 (assume @p939 (forall (@list @t239 @t117 @t23) (= (tptp.hAPP (tptp.hAPP @t438 (tptp.hAPP (tptp.hAPP @t438 (tptp.hAPP (tptp.hAPP @t407 @t1171) @t117)) @t817)) @t239) @t1170))) % 1.42/1.67 (assume @p940 (forall (@list @t239 @t23 @t117) (= (tptp.hAPP (tptp.hAPP @t438 @t1173) @t239) @t1170))) % 1.42/1.67 (assume @p941 (forall @t740 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t828 @t126) (tptp.hAPP (tptp.hAPP @t438 (tptp.hAPP @t825 @t1174)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t826 @t126))))) % 1.42/1.67 (assume @p942 (forall @t736 (= @t23 @t1173))) % 1.42/1.67 (assume @p943 (forall @t229 (= @t810 (tptp.hAPP @t694 (tptp.hAPP (tptp.hAPP @t407 @t1175) @t32))))) % 1.42/1.67 (assume @p944 (forall @t477 (= @t1176 (tptp.hAPP @t694 @t810)))) % 1.42/1.67 (assume @p945 (forall @t822 (=> (not (= @t23 @t561)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t23 @t23) @t454)))) % 1.42/1.67 (assume @p946 (forall @t74 (=> @t804 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t23 @t38) @t23)))) % 1.42/1.67 (assume @p947 (forall @t74 (=> @t804 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t23 @t31) @t31)))) % 1.42/1.67 (assume @p948 (forall @t74 (=> @t804 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t31 @t23) @t31)))) % 1.42/1.67 (assume @p949 (forall @t823 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t561 @t117) @t561))) % 1.42/1.67 (assume @p950 (forall @t736 (= @t1178 @t1177))) % 1.42/1.67 (assume @p951 (forall @t736 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t819 @t818) @t1171))) % 1.42/1.67 (assume @p952 (forall @t252 (=> @t803 (=> @t663 (=> (tptp.hBOOL (tptp.hAPP @t662 @t174)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t648 @t1159) (tptp.c_Divides_Odiv__class_Odiv @t8 @t174 @t55))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t648 @t143) @t174)))))))) % 1.42/1.67 (assume @p953 (forall @t477 (=> @t1151 (= @t1176 @t62)))) % 1.42/1.67 (assume @p954 (forall @t740 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t1169 @t117) @t126) (tptp.hAPP (tptp.hAPP @t438 (tptp.hAPP (tptp.hAPP @t438 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t23 @t126)) @t1174)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t438 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t23 @t126)) @t824) @t126))))) % 1.42/1.67 (assume @p955 (forall @t822 (and (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t23 @t561) @t561) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t23 @t561) @t23)))) % 1.42/1.67 (assume @p956 (forall @t736 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t817 @t117) @t561))) % 1.42/1.67 (assume @p957 (forall @t858 (=> @t804 (=> @t341 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t258 @t117) @t1179))))) % 1.42/1.67 (assume @p958 (forall @t858 (=> @t804 (=> @t341 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t131 @t117) @t1179))))) % 1.42/1.67 (assume @p959 (forall @t259 (=> @t804 (=> @t341 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t808 @t117) @t1180))))) % 1.42/1.67 (assume @p960 (forall @t259 (=> @t804 (=> @t341 (= (tptp.c_Divides_Odiv__class_Odiv @t18 @t809 @t117) @t1180))))) % 1.42/1.67 (assume @p961 (forall (@list @t239 @t16) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t561 @t16) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t454 @t239) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t16 @t239) @t16))))) % 1.42/1.67 (assume @p962 (forall @t736 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t23 @t561) (=> @t1149 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1171 @t561))))) % 1.42/1.67 (assume @p963 (forall @t1182 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t143 @t561) (= @t1181 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t561 @t55))))) % 1.42/1.67 (assume @p964 (forall @t1182 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t561 @t143) (= @t1181 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t55 @t561))))) % 1.42/1.67 (assume @p965 (forall @t1185 (=> @t1184 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t23 @t1183) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1171 @t126))))) % 1.42/1.67 (assume @p966 (forall @t135 (=> @t804 (= (tptp.hAPP (tptp.hAPP @t24 @t1187) @t126) @t127)))) % 1.42/1.67 (assume @p967 (forall @t259 (=> @t804 (= (tptp.hAPP (tptp.hAPP @t24 @t1188) @t126) @t127)))) % 1.42/1.67 (assume @p968 (forall @t122 (=> @t804 (= @t1187 @t23)))) % 1.42/1.67 (assume @p969 (forall @t858 (=> @t804 (= @t1188 @t23)))) % 1.42/1.67 (assume @p970 (forall @t122 (=> @t804 (= (tptp.hAPP (tptp.hAPP @t24 @t805) @t1186) @t23)))) % 1.42/1.67 (assume @p971 (forall @t1185 (=> @t1184 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t23 @t1183) (tptp.hAPP (tptp.hAPP @t438 (tptp.hAPP @t1172 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t1171 @t126))) @t817))))) % 1.42/1.67 (assume @p972 (forall @t1150 (=> @t1191 (and (=> @t842 (= @t1178 @t1189)) (=> @t843 (= @t1178 @t1190)))))) % 1.42/1.67 (assume @p973 (forall @t1150 (=> @t1191 (and (=> @t842 (= @t1177 @t1189)) (=> @t843 (= @t1177 @t1190)))))) % 1.42/1.67 (assume @p974 (forall @t46 (=> @t1045 (and (=> @t520 (= @t1192 @t43)) (=> (not @t520) (and (=> @t1193 (= @t1192 @t49)) (=> (not @t1193) (= @t1192 (tptp.hAPP @t537 @t49))))))))) % 1.42/1.67 (assume @p975 (forall (@list @t75 @t687 @t263) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t561 @t263) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t687 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t75 @t263)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t75 @t263))) (forall @t1135 (=> (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t561 @t1092) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1092 @t263) (= @t75 (tptp.hAPP (tptp.hAPP @t438 (tptp.hAPP @t702 @t1134)) @t1092))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t687 @t1134) @t1092)))))))) % 1.42/1.67 (assume @p976 (forall @t46 (=> @t1066 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t16 @t16)))) % 1.42/1.67 (assume @p977 (forall @t477 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t533 @t936) @t937))) % 1.42/1.67 (assume @p978 (forall @t524 (=> @t523 (=> @t1111 (= @t1194 @t43))))) % 1.42/1.67 (assume @p979 (forall @t524 (=> @t523 (tptp.c_Polynomial_Opdivmod__rel @t18 @t16 @t185 @t1194 @t764)))) % 1.42/1.67 (assume @p980 (forall @t740 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t23 @t1137) (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t1136 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t23 @t117) @t126))) @t886)))) % 1.42/1.67 (assume @p981 (forall @t740 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1195 @t117) @t126) (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP @t1195 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t117 @t126))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1195 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t117 @t126)) @t126))))) % 1.42/1.67 (assume @p982 (forall @t1198 (=> @t1197 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1196)))) % 1.42/1.67 (assume @p983 (forall @t1198 (=> @t1197 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1196)))) % 1.42/1.67 (assume @p984 (forall @t1198 (=> @t1197 (tptp.class_Rings_Oring__1__no__zero__divisors @t1196)))) % 1.42/1.67 (assume @p985 (forall @t1198 (=> @t1197 (tptp.class_Rings_Oring__no__zero__divisors @t1196)))) % 1.42/1.67 (assume @p986 (forall @t1198 (=> @t1197 (tptp.class_Groups_Ocancel__semigroup__add @t1196)))) % 1.42/1.67 (assume @p987 (forall @t1198 (=> @t1197 (tptp.class_Groups_Oab__semigroup__mult @t1196)))) % 1.42/1.67 (assume @p988 (forall @t1198 (=> @t1197 (tptp.class_Groups_Ocomm__monoid__mult @t1196)))) % 1.42/1.67 (assume @p989 (forall @t1198 (=> @t1197 (tptp.class_Groups_Oab__semigroup__add @t1196)))) % 1.42/1.67 (assume @p990 (forall @t1198 (=> @t1197 (tptp.class_Rings_Ono__zero__divisors @t1196)))) % 1.42/1.67 (assume @p991 (forall @t1198 (=> @t1197 (tptp.class_Groups_Ocomm__monoid__add @t1196)))) % 1.42/1.67 (assume @p992 (forall @t1198 (=> @t1197 (tptp.class_Rings_Ocomm__semiring__1 @t1196)))) % 1.42/1.67 (assume @p993 @t1200) % 1.42/1.67 (assume @p994 (forall @t1198 (=> @t1197 (tptp.class_Rings_Ocomm__semiring @t1196)))) % 1.42/1.67 (assume @p995 (forall @t1198 (=> @t1197 (tptp.class_Groups_Oab__group__add @t1196)))) % 1.42/1.67 (assume @p996 (forall @t1198 (=> @t1197 (tptp.class_Rings_Ozero__neq__one @t1196)))) % 1.42/1.67 (assume @p997 (forall @t1198 (=> @t1197 (tptp.class_Groups_Omonoid__mult @t1196)))) % 1.42/1.67 (assume @p998 (forall @t1198 (=> @t1197 (tptp.class_Rings_Ocomm__ring__1 @t1196)))) % 1.42/1.67 (assume @p999 (forall @t1198 (=> @t1197 (tptp.class_Groups_Omonoid__add @t1196)))) % 1.42/1.67 (assume @p1000 (forall @t1198 (=> @t1197 (tptp.class_Rings_Osemiring__1 @t1196)))) % 1.42/1.67 (assume @p1001 (forall @t1198 (=> @t1197 (tptp.class_Rings_Osemiring__0 @t1196)))) % 1.42/1.67 (assume @p1002 (forall @t1198 (=> @t1197 (tptp.class_Groups_Ogroup__add @t1196)))) % 1.42/1.67 (assume @p1003 (forall @t1198 (=> @t1197 (tptp.class_Rings_Omult__zero @t1196)))) % 1.42/1.67 (assume @p1004 (forall @t1198 (=> @t1197 (tptp.class_Rings_Ocomm__ring @t1196)))) % 1.42/1.67 (assume @p1005 (forall @t1198 (=> @t1197 (tptp.class_Rings_Osemiring @t1196)))) % 1.42/1.67 (assume @p1006 (forall @t1198 (=> @t1197 (tptp.class_Groups_Ouminus @t1196)))) % 1.42/1.67 (assume @p1007 (forall @t1198 (=> @t1197 (tptp.class_Rings_Oring__1 @t1196)))) % 1.42/1.67 (assume @p1008 (forall @t1198 (=> @t1197 (tptp.class_Groups_Ominus @t1196)))) % 1.42/1.67 (assume @p1009 (forall @t1198 (=> @t1197 (tptp.class_Power_Opower @t1196)))) % 1.42/1.67 (assume @p1010 (forall @t1198 (=> @t1197 (tptp.class_Groups_Ozero @t1196)))) % 1.42/1.67 (assume @p1011 (forall @t1198 (=> @t1197 (tptp.class_Rings_Oring @t1196)))) % 1.42/1.67 (assume @p1012 (forall @t1198 (=> @t1197 (tptp.class_Groups_Oone @t1196)))) % 1.42/1.67 (assume @p1013 (forall @t1198 (=> @t1197 (tptp.class_Rings_Odvd @t1196)))) % 1.42/1.67 (assume @p1014 (forall @t1198 (=> @t1197 (tptp.class_Groups_Ocancel__comm__monoid__add @t1196)))) % 1.42/1.67 (assume @p1015 (forall @t1204 (=> @t1203 (tptp.class_Groups_Ocancel__comm__monoid__add @t1202)))) % 1.42/1.67 (assume @p1016 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1017 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1018 (forall @t1207 (=> (tptp.class_Lattices_Oboolean__algebra @t1201) (tptp.class_Lattices_Oboolean__algebra @t1206)))) % 1.42/1.67 (assume @p1019 (forall @t1207 (=> (tptp.class_Orderings_Opreorder @t1201) (tptp.class_Orderings_Opreorder @t1206)))) % 1.42/1.67 (assume @p1020 (forall @t1207 (=> (tptp.class_Orderings_Oorder @t1201) (tptp.class_Orderings_Oorder @t1206)))) % 1.42/1.67 (assume @p1021 (forall @t1207 (=> (tptp.class_Orderings_Oord @t1201) (tptp.class_Orderings_Oord @t1206)))) % 1.42/1.67 (assume @p1022 (forall @t1207 (=> (tptp.class_Groups_Ouminus @t1201) (tptp.class_Groups_Ouminus @t1206)))) % 1.42/1.67 (assume @p1023 (forall @t1207 (=> (tptp.class_Groups_Ominus @t1201) (tptp.class_Groups_Ominus @t1206)))) % 1.42/1.67 (assume @p1024 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1025 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1026 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1027 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1028 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1029 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1030 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1031 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1032 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1033 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1034 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1035 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1036 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1037 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1038 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1039 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1040 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1041 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1042 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1043 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1044 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1045 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1046 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1047 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1048 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1049 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1050 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1051 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1052 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1053 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1054 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1055 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1056 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1057 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1058 (tptp.class_Rings_Osemiring__1 tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1059 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1060 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1061 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1062 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1063 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1064 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1065 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1066 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1067 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1068 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1069 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1070 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1071 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1072 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1073 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1074 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1075 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1076 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.42/1.67 (assume @p1077 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1078 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1079 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1080 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1081 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1082 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1083 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1084 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1085 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1086 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1087 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1088 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1089 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1090 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1091 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1092 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1093 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1094 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1095 (tptp.class_Orderings_Owellorder tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1096 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1097 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1098 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1099 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1100 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1101 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1102 (tptp.class_Rings_Osemiring__1 tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1103 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1104 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1105 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1106 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1107 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1108 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1109 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1110 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1111 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1112 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.42/1.67 (assume @p1113 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.42/1.67 (assume @p1114 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.42/1.67 (assume @p1115 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.42/1.67 (assume @p1116 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.42/1.67 (assume @p1117 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.42/1.67 (assume @p1118 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.42/1.67 (assume @p1119 (forall @t1204 (=> @t1208 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1202)))) % 1.42/1.67 (assume @p1120 (forall @t1204 (=> @t1209 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1202)))) % 1.42/1.67 (assume @p1121 (forall @t1204 (=> @t1209 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1202)))) % 1.42/1.67 (assume @p1122 (forall @t1204 (=> @t1209 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1202)))) % 1.42/1.67 (assume @p1123 (forall @t1204 (=> @t1209 (tptp.class_Rings_Olinordered__semiring__strict @t1202)))) % 1.42/1.67 (assume @p1124 (forall @t1204 (=> @t1209 (tptp.class_Groups_Oordered__comm__monoid__add @t1202)))) % 1.42/1.67 (assume @p1125 (forall @t1204 (=> @t1209 (tptp.class_Groups_Olinordered__ab__group__add @t1202)))) % 1.42/1.67 (assume @p1126 (forall @t1204 (=> @t1203 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1202)))) % 1.42/1.67 (assume @p1127 (forall @t1204 (=> @t1208 (tptp.class_Rings_Oring__1__no__zero__divisors @t1202)))) % 1.42/1.67 (assume @p1128 (forall @t1204 (=> @t1209 (tptp.class_Rings_Olinordered__ring__strict @t1202)))) % 1.42/1.67 (assume @p1129 (forall @t1204 (=> @t1208 (tptp.class_Rings_Oring__no__zero__divisors @t1202)))) % 1.42/1.67 (assume @p1130 (forall @t1204 (=> @t1209 (tptp.class_Groups_Oordered__ab__group__add @t1202)))) % 1.42/1.67 (assume @p1131 (forall @t1204 (=> @t1203 (tptp.class_Groups_Ocancel__semigroup__add @t1202)))) % 1.42/1.67 (assume @p1132 (forall @t1204 (=> @t1209 (tptp.class_Rings_Olinordered__semidom @t1202)))) % 1.42/1.67 (assume @p1133 (forall @t1204 (=> @t1210 (tptp.class_Groups_Oab__semigroup__mult @t1202)))) % 1.42/1.67 (assume @p1134 (forall @t1204 (=> @t1211 (tptp.class_Groups_Ocomm__monoid__mult @t1202)))) % 1.42/1.67 (assume @p1135 (forall @t1204 (=> @t1212 (tptp.class_Groups_Oab__semigroup__add @t1202)))) % 1.42/1.67 (assume @p1136 (forall @t1204 (=> @t1208 (tptp.class_Rings_Ono__zero__divisors @t1202)))) % 1.42/1.67 (assume @p1137 (forall @t1204 (=> @t1212 (tptp.class_Groups_Ocomm__monoid__add @t1202)))) % 1.42/1.67 (assume @p1138 (forall @t1204 (=> @t1209 (tptp.class_Rings_Olinordered__ring @t1202)))) % 1.42/1.67 (assume @p1139 (forall @t1204 (=> @t1209 (tptp.class_Rings_Olinordered__idom @t1202)))) % 1.42/1.67 (assume @p1140 (forall @t1204 (=> @t1211 (tptp.class_Rings_Ocomm__semiring__1 @t1202)))) % 1.42/1.67 (assume @p1141 (forall @t1204 (=> @t1210 (tptp.class_Rings_Ocomm__semiring__0 @t1202)))) % 1.42/1.67 (assume @p1142 (forall @t1204 (=> @t1213 (tptp.class_Divides_Osemiring__div @t1202)))) % 1.42/1.67 (assume @p1143 (forall @t1204 (=> @t1210 (tptp.class_Rings_Ocomm__semiring @t1202)))) % 1.42/1.67 (assume @p1144 (forall @t1204 (=> @t1209 (tptp.class_Nat_Osemiring__char__0 @t1202)))) % 1.42/1.67 (assume @p1145 (forall @t1204 (=> @t1214 (tptp.class_Groups_Oab__group__add @t1202)))) % 1.42/1.67 (assume @p1146 (forall @t1204 (=> @t1211 (tptp.class_Rings_Ozero__neq__one @t1202)))) % 1.42/1.67 (assume @p1147 (forall @t1204 (=> @t1209 (tptp.class_Rings_Oordered__ring @t1202)))) % 1.42/1.67 (assume @p1148 (forall @t1204 (=> @t1209 (tptp.class_Orderings_Opreorder @t1202)))) % 1.42/1.67 (assume @p1149 (forall @t1204 (=> @t1209 (tptp.class_Orderings_Olinorder @t1202)))) % 1.42/1.67 (assume @p1150 (forall @t1204 (=> @t1211 (tptp.class_Groups_Omonoid__mult @t1202)))) % 1.42/1.67 (assume @p1151 (forall @t1204 (=> @t1215 (tptp.class_Rings_Ocomm__ring__1 @t1202)))) % 1.42/1.67 (assume @p1152 (forall @t1204 (=> @t1212 (tptp.class_Groups_Omonoid__add @t1202)))) % 1.42/1.67 (assume @p1153 (forall @t1204 (=> @t1211 (tptp.class_Rings_Osemiring__1 @t1202)))) % 1.42/1.67 (assume @p1154 (forall @t1204 (=> @t1210 (tptp.class_Rings_Osemiring__0 @t1202)))) % 1.42/1.67 (assume @p1155 (forall @t1204 (=> @t1214 (tptp.class_Groups_Ogroup__add @t1202)))) % 1.42/1.67 (assume @p1156 (forall @t1204 (=> @t1213 (tptp.class_Divides_Oring__div @t1202)))) % 1.42/1.67 (assume @p1157 (forall @t1204 (=> @t1210 (tptp.class_Rings_Omult__zero @t1202)))) % 1.42/1.67 (assume @p1158 (forall @t1204 (=> @t1216 (tptp.class_Rings_Ocomm__ring @t1202)))) % 1.42/1.67 (assume @p1159 (forall @t1204 (=> @t1209 (tptp.class_Orderings_Oorder @t1202)))) % 1.42/1.67 (assume @p1160 (forall @t1204 (=> @t1209 (tptp.class_Int_Oring__char__0 @t1202)))) % 1.42/1.67 (assume @p1161 (forall @t1204 (=> @t1210 (tptp.class_Rings_Osemiring @t1202)))) % 1.42/1.67 (assume @p1162 (forall @t1204 (=> @t1209 (tptp.class_Orderings_Oord @t1202)))) % 1.42/1.67 (assume @p1163 (forall @t1204 (=> @t1214 (tptp.class_Groups_Ouminus @t1202)))) % 1.42/1.67 (assume @p1164 (forall @t1204 (=> @t1215 (tptp.class_Rings_Oring__1 @t1202)))) % 1.42/1.67 (assume @p1165 (forall @t1204 (=> @t1214 (tptp.class_Groups_Ominus @t1202)))) % 1.42/1.67 (assume @p1166 (forall @t1204 (=> @t1211 (tptp.class_Power_Opower @t1202)))) % 1.42/1.67 (assume @p1167 (forall @t1204 (=> (tptp.class_Groups_Ozero @t1201) (tptp.class_Groups_Ozero @t1202)))) % 1.42/1.67 (assume @p1168 (forall @t1204 (=> @t1216 (tptp.class_Rings_Oring @t1202)))) % 1.42/1.67 (assume @p1169 (forall @t1204 (=> @t1208 (tptp.class_Rings_Oidom @t1202)))) % 1.42/1.67 (assume @p1170 (forall @t1204 (=> @t1211 (tptp.class_Groups_Oone @t1202)))) % 1.42/1.67 (assume @p1171 (forall @t1204 (=> @t1211 (tptp.class_Rings_Odvd @t1202)))) % 1.42/1.67 (assume @p1172 (forall (@list @t1217 @t18) (= (tptp.hAPP (tptp.c_COMBI @t18) @t1217) @t1217))) % 1.42/1.67 (assume @p1173 (forall (@list @t1218 @t1217 @t8 @t18) (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBK @t18 @t8) @t1217) @t1218) @t1217))) % 1.42/1.67 (assume @p1174 (forall (@list @t1219 @t1220 @t687 @t1222 @t8 @t100) (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBB @t100 @t8 @t1222) @t687) @t1220) @t1219) (tptp.hAPP @t687 @t1221)))) % 1.42/1.67 (assume @p1175 (forall @t1224 (= (tptp.hAPP (tptp.hAPP (tptp.c_COMBC @t100 @t1222 @t8 @t687) @t1220) @t1219) (tptp.hAPP @t1223 @t1220)))) % 1.42/1.67 (assume @p1176 (forall @t1224 (= (tptp.hAPP (tptp.hAPP (tptp.hAPP (tptp.c_COMBS @t100 @t1222 @t8) @t687) @t1220) @t1219) (tptp.hAPP @t1223 @t1221)))) % 1.42/1.67 (assume @p1177 (forall @t751 (or (not @t1225) @t376))) % 1.42/1.67 (assume @p1178 (forall @t751 (or @t749 @t1225))) % 1.42/1.67 (assume @p1179 (forall @t1229 (or (not @t1228) @t1227))) % 1.42/1.67 (assume @p1180 (forall @t1229 (or (not @t1227) @t1228))) % 1.42/1.67 (assume @p1181 (forall @t1232 (or @t1227 (not @t1231) @t1230))) % 1.42/1.67 (assume @p1182 (forall @t1232 (or @t1233 @t1226))) % 1.42/1.67 (assume @p1183 (forall @t1232 (or @t1233 @t1231))) % 1.42/1.67 (assume @p1184 (not (exists (@list @t683 @t1235) (and (not (= @t1235 @t1236)) (not (= @t683 @t13)) (exists @t839 (and (= (tptp.hAPP (tptp.hAPP @t64 (tptp.hAPP (tptp.hAPP @t64 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.t_a @t838)) @t683)) @t201) (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.t_a @t215)) (forall (@list @t1234) (= (tptp.hAPP @t216 @t1234) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Oplus__class_Oplus tptp.t_a) (tptp.hAPP @t216 @t1236)) (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.t_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.t_a) @t1234) @t683)) (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.t_a (tptp.hAPP (tptp.hAPP (tptp.c_Polynomial_OpCons tptp.t_a) @t1235) @t838)) @t1234))))))))))) % 1.42/1.67 (assume @p1185 @t7) % 1.42/1.67 (assume @p1186 true) % 1.42/1.67 (step @p1187 :rule evaluate :args ((= false true))) % 1.42/1.67 (step @p1188 :rule bool-impl-elim :args (@t29 @t1237)) % 1.42/1.67 (step @p1189 :rule cong :premises (@p1188) :args ((forall @t46 (=> @t29 @t1237)))) % 1.42/1.67 (step @p1190 :rule eq-symm :args (@t44 @t31)) % 1.42/1.67 (step @p1191 :rule refl :args (@t29)) % 1.42/1.67 (step @p1192 :rule cong :premises (@p1191 @p1190) :args (@t45)) % 1.42/1.67 (step @p1193 :rule cong :premises (@p1192) :args (@t47)) % 1.42/1.67 (step @p1194 :rule trans :premises (@p1193 @p1189)) % 1.42/1.67 (step @p1195 :rule eq_resolve :premises (@p6 @p1194)) % 1.42/1.67 (step @p1196 :rule instantiate :premises (@p1195) :args ((@list @t1238 tptp.t_a))) % 1.42/1.67 (step @p1197 :rule bool-impl-elim :args (@t1197 @t1199)) % 1.42/1.67 (step @p1198 :rule cong :premises (@p1197) :args (@t1200)) % 1.42/1.67 (step @p1199 :rule eq_resolve :premises (@p993 @p1198)) % 1.42/1.67 (step @p1200 :rule instantiate :premises (@p1199) :args ((@list tptp.t_a))) % 1.42/1.67 (step @p1201 :rule cnf_or_pos :args (@t1241)) % 1.42/1.67 (step @p1202 :rule reordering :premises (@p1201) :args ((or @t1240 @t1239 (not @t1241)))) % 1.42/1.67 (step @p1203 :rule chain_m_resolution :premises (@p1202 @p1185 @p1200) :args (@t1239 @t1242 (@list @t7 @t1241))) % 1.42/1.67 (step @p1204 :rule cnf_or_pos :args (@t1245)) % 1.42/1.67 (step @p1205 :rule reordering :premises (@p1204) :args ((or @t1244 @t1243 (not @t1245)))) % 1.42/1.67 (step @p1206 :rule chain_m_resolution :premises (@p1205 @p1203 @p1196) :args (@t1243 @t1242 (@list @t1239 @t1245))) % 1.42/1.68 (step @p1207 :rule instantiate :premises (@p1195) :args ((@list @t1247 tptp.t_a))) % 1.42/1.68 (step @p1208 :rule cnf_or_pos :args (@t1249)) % 1.42/1.68 (step @p1209 :rule reordering :premises (@p1208) :args ((or @t1244 @t1248 (not @t1249)))) % 1.42/1.68 (step @p1210 :rule chain_m_resolution :premises (@p1209 @p1203 @p1207) :args (@t1248 @t1242 (@list @t1239 @t1249))) % 1.42/1.68 (step @p1211 :rule symm :premises (@p1210)) % 1.42/1.68 (step @p1212 :rule trans :premises (@p1211 @p1206)) % 1.42/1.68 (step @p1213 :rule symm :premises (@p1212)) % 1.42/1.68 (step @p1214 :rule instantiate :premises (@p1195) :args ((@list @t1250 tptp.t_a))) % 1.42/1.68 (step @p1215 :rule cnf_or_pos :args (@t1252)) % 1.42/1.68 (step @p1216 :rule reordering :premises (@p1215) :args ((or @t1244 @t1251 (not @t1252)))) % 1.42/1.68 (step @p1217 :rule chain_m_resolution :premises (@p1216 @p1203 @p1214) :args (@t1251 @t1242 (@list @t1239 @t1252))) % 1.42/1.68 (step @p1218 :rule symm :premises (@p1217)) % 1.42/1.68 (step @p1219 :rule trans :premises (@p1218 @p1206 @p1213)) % 1.42/1.68 (step @p1220 :rule true_intro :premises (@p1219)) % 1.42/1.68 (step @p1221 :rule instantiate :premises (@p22) :args ((@list @t216 tptp.t_a tptp.t_a))) % 1.42/1.68 (step @p1222 :rule implies_elim :premises (@p67)) % 1.42/1.68 (step @p1223 :rule reordering :premises (@p1222) :args ((or @t218 @t1240))) % 1.42/1.68 (step @p1224 :rule chain_m_resolution :premises (@p1223 @p1185) :args (@t218 (@list false) (@list @t7))) % 1.42/1.68 (step @p1225 :rule cnf_equiv_pos2 :args (@t1253)) % 1.42/1.68 (step @p1226 :rule reordering :premises (@p1225) :args ((or @t217 @t1254 (not @t1253)))) % 1.42/1.68 (step @p1227 :rule chain_m_resolution :premises (@p1226 @p1224 @p1221) :args (@t1254 (@list true false) (@list @t217 @t1253))) % 1.42/1.68 (step @p1228 :rule skolemize :premises (@p1227)) % 1.42/1.68 (step @p1229 :rule false_intro :premises (@p1228)) % 1.42/1.68 (step @p1230 :rule symm :premises (@p1229)) % 1.42/1.68 (step @p1231 :rule trans :premises (@p1230 @p1220)) % 1.42/1.68 (step @p1232 false :rule eq_resolve :premises (@p1231 @p1187)) % 1.42/1.68 ) % 1.42/1.68 % SZS output end Proof % 1.42/1.68 % cvc5 exiting %------------------------------------------------------------------------------