%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW276+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.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 09:04:39 AM UTC 2026 % Result : Theorem 1.85s 2.10s % Output : Proof 1.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW276+1 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n022.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:43:23 EDT 2026 % 0.17/0.34 % CPUTime : % 0.44/0.72 %----Proving TF0_NAR, FOF, or CNF % 1.85/2.10 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.85/2.10 % SZS status Theorem % 1.85/2.10 % SZS output start Proof % 1.85/2.10 ( % 1.85/2.10 (declare-sort $$unsorted 0) % 1.85/2.10 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.85/2.10 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.85/2.10 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.v_n $$unsorted) % 1.85/2.10 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.v_na____ $$unsorted) % 1.85/2.10 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.85/2.10 (declare-const tptp.v_pa____ $$unsorted) % 1.85/2.10 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.85/2.10 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.v_qa____ $$unsorted) % 1.85/2.10 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.v_r____ $$unsorted) % 1.85/2.10 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.v_a____ $$unsorted) % 1.85/2.10 (declare-const tptp.v_s____ $$unsorted) % 1.85/2.10 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.v_p $$unsorted) % 1.85/2.10 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.v_q $$unsorted) % 1.85/2.10 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.85/2.10 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.85/2.10 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.85/2.10 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.85/2.10 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.85/2.10 (define @t3 () (@var "B_x" $$unsorted)) % 1.85/2.10 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.85/2.10 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.85/2.10 (define @t6 () (@list @t3)) % 1.85/2.10 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.85/2.10 (define @t8 () (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) % 1.85/2.10 (define @t9 () (tptp.c_Groups_Ozero__class_Ozero @t8)) % 1.85/2.10 (define @t10 () (= tptp.v_qa____ @t9)) % 1.85/2.10 (define @t11 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_s____)) % 1.85/2.10 (define @t12 () (= @t11 @t7)) % 1.85/2.10 (define @t13 () (tptp.c_Polynomial_Oorder tptp.tc_Complex_Ocomplex tptp.v_a____ tptp.v_pa____)) % 1.85/2.10 (define @t14 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.85/2.10 (define @t15 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.85/2.10 (define @t16 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t15 @t9)) % 1.85/2.10 (define @t17 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex tptp.v_a____)) % 1.85/2.10 (define @t18 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t17 @t16)) % 1.85/2.10 (define @t19 () (tptp.c_Power_Opower__class_Opower @t8)) % 1.85/2.10 (define @t20 () (tptp.hAPP @t19 @t18)) % 1.85/2.10 (define @t21 () (tptp.hAPP @t20 @t13)) % 1.85/2.10 (define @t22 () (tptp.c_Groups_Otimes__class_Otimes @t8)) % 1.85/2.10 (define @t23 () (tptp.hAPP @t22 @t21)) % 1.85/2.10 (define @t24 () (tptp.hAPP @t23 tptp.v_s____)) % 1.85/2.10 (define @t25 () (= tptp.v_pa____ @t24)) % 1.85/2.10 (define @t26 () (tptp.hAPP @t22 @t18)) % 1.85/2.10 (define @t27 () (@var "B_s" $$unsorted)) % 1.85/2.10 (define @t28 () (forall (@list @t27) (not (= tptp.v_pa____ (tptp.hAPP @t23 @t27))))) % 1.85/2.10 (define @t29 () (not @t28)) % 1.85/2.10 (define @t30 () (@var "V_n" $$unsorted)) % 1.85/2.10 (define @t31 () (@var "T_a" $$unsorted)) % 1.85/2.10 (define @t32 () (tptp.tc_Polynomial_Opoly @t31)) % 1.85/2.10 (define @t33 () (tptp.c_Groups_Ozero__class_Ozero @t32)) % 1.85/2.10 (define @t34 () (tptp.c_Groups_Oone__class_Oone @t31)) % 1.85/2.10 (define @t35 () (tptp.c_Polynomial_OpCons @t31 @t34 @t33)) % 1.85/2.10 (define @t36 () (@var "V_a" $$unsorted)) % 1.85/2.10 (define @t37 () (tptp.c_Power_Opower__class_Opower @t32)) % 1.85/2.10 (define @t38 () (tptp.hAPP (tptp.hAPP @t37 (tptp.c_Polynomial_OpCons @t31 @t36 @t35)) @t30)) % 1.85/2.10 (define @t39 () (tptp.c_Polynomial_Odegree @t31 @t38)) % 1.85/2.10 (define @t40 () (tptp.class_Rings_Ocomm__semiring__1 @t31)) % 1.85/2.10 (define @t41 () (=> @t40 (= @t39 @t30))) % 1.85/2.10 (define @t42 () (@list @t30 @t36 @t31)) % 1.85/2.10 (define @t43 () (forall @t42 @t41)) % 1.85/2.10 (define @t44 () (@list @t30)) % 1.85/2.10 (define @t45 () (tptp.c_Power_Opower__class_Opower @t31)) % 1.85/2.10 (define @t46 () (tptp.hAPP @t45 @t36)) % 1.85/2.10 (define @t47 () (tptp.hAPP @t46 @t30)) % 1.85/2.10 (define @t48 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t30)) % 1.85/2.10 (define @t49 () (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t36)) % 1.85/2.10 (define @t50 () (tptp.class_Rings_Olinordered__semidom @t31)) % 1.85/2.10 (define @t51 () (@var "V_N" $$unsorted)) % 1.85/2.10 (define @t52 () (tptp.hAPP @t46 @t51)) % 1.85/2.10 (define @t53 () (tptp.c_Orderings_Oord__class_Oless @t31 @t36 @t34)) % 1.85/2.10 (define @t54 () (tptp.c_Groups_Ozero__class_Ozero @t31)) % 1.85/2.10 (define @t55 () (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t36)) % 1.85/2.10 (define @t56 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t51)) % 1.85/2.10 (define @t57 () (@list @t36 @t51 @t30 @t31)) % 1.85/2.10 (define @t58 () (tptp.c_Groups_Otimes__class_Otimes @t31)) % 1.85/2.10 (define @t59 () (tptp.hAPP @t58 @t36)) % 1.85/2.10 (define @t60 () (tptp.hAPP @t59 @t47)) % 1.85/2.10 (define @t61 () (tptp.c_Polynomial_OpCons @t31 @t36 @t33)) % 1.85/2.10 (define @t62 () (tptp.class_Groups_Ozero @t31)) % 1.85/2.10 (define @t63 () (@list @t36 @t31)) % 1.85/2.10 (define @t64 () (@var "V_y_2" $$unsorted)) % 1.85/2.10 (define @t65 () (@var "V_x_2" $$unsorted)) % 1.85/2.10 (define @t66 () (@var "V_b_2" $$unsorted)) % 1.85/2.10 (define @t67 () (tptp.hAPP @t45 @t66)) % 1.85/2.10 (define @t68 () (tptp.hAPP @t67 @t64)) % 1.85/2.10 (define @t69 () (tptp.hAPP @t67 @t65)) % 1.85/2.10 (define @t70 () (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t66)) % 1.85/2.10 (define @t71 () (@list @t64 @t65 @t66 @t31)) % 1.85/2.10 (define @t72 () (@var "V_m" $$unsorted)) % 1.85/2.10 (define @t73 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t72 @t30)) % 1.85/2.10 (define @t74 () (tptp.hAPP @t46 @t72)) % 1.85/2.10 (define @t75 () (@list @t30 @t72 @t36 @t31)) % 1.85/2.10 (define @t76 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t34)) % 1.85/2.10 (define @t77 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t36)) % 1.85/2.10 (define @t78 () (tptp.class_Rings_Oring__1 @t31)) % 1.85/2.10 (define @t79 () (tptp.c_Rings_Odvd__class_Odvd @t8 tptp.v_pa____ (tptp.hAPP (tptp.hAPP @t19 tptp.v_qa____) tptp.v_na____))) % 1.85/2.10 (define @t80 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.85/2.10 (define @t81 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.85/2.10 (define @t82 () (= @t72 @t7)) % 1.85/2.10 (define @t83 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.85/2.10 (define @t84 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.85/2.10 (define @t85 () (tptp.hAPP @t84 @t72)) % 1.85/2.10 (define @t86 () (tptp.hAPP @t85 @t30)) % 1.85/2.10 (define @t87 () (@list @t30 @t72)) % 1.85/2.10 (define @t88 () (@var "V_y" $$unsorted)) % 1.85/2.10 (define @t89 () (tptp.hAPP @t45 @t88)) % 1.85/2.10 (define @t90 () (tptp.hAPP @t89 @t30)) % 1.85/2.10 (define @t91 () (@var "V_x" $$unsorted)) % 1.85/2.10 (define @t92 () (tptp.hAPP @t45 @t91)) % 1.85/2.10 (define @t93 () (tptp.hAPP @t92 @t30)) % 1.85/2.10 (define @t94 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t91 @t88)) % 1.85/2.10 (define @t95 () (@var "V_k_2" $$unsorted)) % 1.85/2.10 (define @t96 () (= @t95 @t7)) % 1.85/2.10 (define @t97 () (@var "V_nb_2" $$unsorted)) % 1.85/2.10 (define @t98 () (@var "V_m_2" $$unsorted)) % 1.85/2.10 (define @t99 () (= @t98 @t97)) % 1.85/2.10 (define @t100 () (or @t99 @t96)) % 1.85/2.10 (define @t101 () (tptp.hAPP @t84 @t97)) % 1.85/2.10 (define @t102 () (tptp.hAPP @t101 @t95)) % 1.85/2.10 (define @t103 () (tptp.hAPP @t84 @t98)) % 1.85/2.10 (define @t104 () (tptp.hAPP @t103 @t95)) % 1.85/2.10 (define @t105 () (@list @t97 @t95 @t98)) % 1.85/2.10 (define @t106 () (tptp.hAPP @t84 @t95)) % 1.85/2.10 (define @t107 () (tptp.hAPP @t106 @t97)) % 1.85/2.10 (define @t108 () (tptp.hAPP @t106 @t98)) % 1.85/2.10 (define @t109 () (= @t108 @t107)) % 1.85/2.10 (define @t110 () (@list @t97 @t98 @t95)) % 1.85/2.10 (define @t111 () (= @t97 @t7)) % 1.85/2.10 (define @t112 () (= @t98 @t7)) % 1.85/2.10 (define @t113 () (tptp.hAPP @t103 @t97)) % 1.85/2.10 (define @t114 () (@list @t97 @t98)) % 1.85/2.10 (define @t115 () (@list @t72)) % 1.85/2.10 (define @t116 () (tptp.class_Groups_Omonoid__mult @t31)) % 1.85/2.10 (define @t117 () (tptp.class_Groups_Oab__group__add @t31)) % 1.85/2.10 (define @t118 () (@list @t31)) % 1.85/2.10 (define @t119 () (@var "V_p" $$unsorted)) % 1.85/2.10 (define @t120 () (tptp.c_Polynomial_Odegree @t31 @t119)) % 1.85/2.10 (define @t121 () (tptp.c_Groups_Ouminus__class_Ouminus @t32 @t119)) % 1.85/2.10 (define @t122 () (@list @t119 @t31)) % 1.85/2.10 (define @t123 () (@var "V_i" $$unsorted)) % 1.85/2.10 (define @t124 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.85/2.10 (define @t125 () (tptp.hAPP @t124 @t123)) % 1.85/2.10 (define @t126 () (tptp.hAPP @t125 @t30)) % 1.85/2.10 (define @t127 () (tptp.hAPP @t125 @t72)) % 1.85/2.10 (define @t128 () (@list @t30 @t72 @t123)) % 1.85/2.10 (define @t129 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t65)) % 1.85/2.10 (define @t130 () (tptp.hAPP @t124 @t65)) % 1.85/2.10 (define @t131 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 (tptp.hAPP @t130 @t97))) % 1.85/2.10 (define @t132 () (@list @t97 @t65)) % 1.85/2.10 (define @t133 () (@var "V_j" $$unsorted)) % 1.85/2.10 (define @t134 () (@var "V_k" $$unsorted)) % 1.85/2.10 (define @t135 () (tptp.hAPP @t84 @t134)) % 1.85/2.10 (define @t136 () (tptp.hAPP @t135 @t133)) % 1.85/2.10 (define @t137 () (tptp.hAPP @t135 @t123)) % 1.85/2.10 (define @t138 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t134)) % 1.85/2.10 (define @t139 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t123 @t133)) % 1.85/2.10 (define @t140 () (@list @t134 @t133 @t123)) % 1.85/2.10 (define @t141 () (tptp.hAPP @t84 @t133)) % 1.85/2.10 (define @t142 () (tptp.hAPP @t141 @t134)) % 1.85/2.10 (define @t143 () (tptp.hAPP @t84 @t123)) % 1.85/2.10 (define @t144 () (tptp.hAPP @t143 @t134)) % 1.85/2.10 (define @t145 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t98 @t97)) % 1.85/2.10 (define @t146 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t95)) % 1.85/2.10 (define @t147 () (and @t146 @t145)) % 1.85/2.10 (define @t148 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t107)) % 1.85/2.10 (define @t149 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t97)) % 1.85/2.10 (define @t150 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t98)) % 1.85/2.10 (define @t151 () (tptp.c_Groups_Oone__class_Oone @t32)) % 1.85/2.10 (define @t152 () (@list @t91 @t30 @t31)) % 1.85/2.10 (define @t153 () (@var "V_P_2" $$unsorted)) % 1.85/2.10 (define @t154 () (tptp.hAPP @t153 @t97)) % 1.85/2.10 (define @t155 () (tptp.hBOOL (tptp.hAPP @t154 @t98))) % 1.85/2.10 (define @t156 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t98)) % 1.85/2.10 (define @t157 () (@var "V_t" $$unsorted)) % 1.85/2.10 (define @t158 () (@var "V_s" $$unsorted)) % 1.85/2.10 (define @t159 () (= @t72 @t30)) % 1.85/2.10 (define @t160 () (not @t159)) % 1.85/2.10 (define @t161 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t72)) % 1.85/2.10 (define @t162 () (@list @t72 @t30)) % 1.85/2.10 (define @t163 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t91 @t88)) % 1.85/2.10 (define @t164 () (= @t91 @t88)) % 1.85/2.10 (define @t165 () (not @t164)) % 1.85/2.10 (define @t166 () (@list @t88 @t91)) % 1.85/2.10 (define @t167 () (not @t99)) % 1.85/2.10 (define @t168 () (@var "V_qb_2" $$unsorted)) % 1.85/2.10 (define @t169 () (@var "V_pb_2" $$unsorted)) % 1.85/2.10 (define @t170 () (= @t169 @t168)) % 1.85/2.10 (define @t171 () (@var "V_aa_2" $$unsorted)) % 1.85/2.10 (define @t172 () (= @t171 @t66)) % 1.85/2.10 (define @t173 () (tptp.c_Polynomial_OpCons @t31 @t171 @t169)) % 1.85/2.10 (define @t174 () (tptp.c_Polynomial_Oorder @t31 @t36 @t119)) % 1.85/2.10 (define @t175 () (tptp.hAPP @t37 (tptp.c_Polynomial_OpCons @t31 @t77 @t35))) % 1.85/2.10 (define @t176 () (tptp.c_Rings_Odvd__class_Odvd @t32 (tptp.hAPP @t175 @t174) @t119)) % 1.85/2.10 (define @t177 () (tptp.class_Rings_Oidom @t31)) % 1.85/2.10 (define @t178 () (@list @t119 @t36 @t31)) % 1.85/2.10 (define @t179 () (not (= @t47 @t54))) % 1.85/2.10 (define @t180 () (= @t36 @t54)) % 1.85/2.10 (define @t181 () (not @t180)) % 1.85/2.10 (define @t182 () (=> @t181 @t179)) % 1.85/2.10 (define @t183 () (tptp.class_Rings_Oring__1__no__zero__divisors @t31)) % 1.85/2.10 (define @t184 () (forall @t42 (=> @t183 @t182))) % 1.85/2.10 (define @t185 () (@var "V_b" $$unsorted)) % 1.85/2.10 (define @t186 () (tptp.hAPP @t45 @t185)) % 1.85/2.10 (define @t187 () (tptp.hAPP @t186 @t30)) % 1.85/2.10 (define @t188 () (tptp.hAPP @t58 @t47)) % 1.85/2.10 (define @t189 () (tptp.hAPP @t59 @t185)) % 1.85/2.10 (define @t190 () (tptp.class_Groups_Ocomm__monoid__mult @t31)) % 1.85/2.10 (define @t191 () (@list @t30 @t185 @t36 @t31)) % 1.85/2.10 (define @t192 () (tptp.hAPP @t188 @t36)) % 1.85/2.10 (define @t193 () (@list @t30 @t31)) % 1.85/2.10 (define @t194 () (= @t30 @t7)) % 1.85/2.10 (define @t195 () (not @t194)) % 1.85/2.10 (define @t196 () (not @t111)) % 1.85/2.10 (define @t197 () (@list @t97)) % 1.85/2.10 (define @t198 () (@var "T_b" $$unsorted)) % 1.85/2.10 (define @t199 () (tptp.tc_Polynomial_Opoly @t198)) % 1.85/2.10 (define @t200 () (tptp.c_Polynomial_OpCons @t31 @t36 @t119)) % 1.85/2.10 (define @t201 () (tptp.c_Groups_Otimes__class_Otimes @t32)) % 1.85/2.10 (define @t202 () (tptp.hAPP @t201 @t119)) % 1.85/2.10 (define @t203 () (tptp.class_Rings_Ocomm__semiring__0 @t31)) % 1.85/2.10 (define @t204 () (@var "V_q" $$unsorted)) % 1.85/2.10 (define @t205 () (@list @t204 @t31)) % 1.85/2.10 (define @t206 () (= @t171 @t54)) % 1.85/2.10 (define @t207 () (tptp.hAPP @t45 @t171)) % 1.85/2.10 (define @t208 () (tptp.hAPP @t207 @t97)) % 1.85/2.10 (define @t209 () (tptp.class_Rings_Ozero__neq__one @t31)) % 1.85/2.10 (define @t210 () (tptp.class_Rings_Ono__zero__divisors @t31)) % 1.85/2.10 (define @t211 () (tptp.class_Rings_Omult__zero @t31)) % 1.85/2.10 (define @t212 () (tptp.class_Power_Opower @t31)) % 1.85/2.10 (define @t213 () (@list @t97 @t171 @t31)) % 1.85/2.10 (define @t214 () (= @t169 @t33)) % 1.85/2.10 (define @t215 () (and @t206 @t214)) % 1.85/2.10 (define @t216 () (= (= @t173 @t33) @t215)) % 1.85/2.10 (define @t217 () (=> @t62 @t216)) % 1.85/2.10 (define @t218 () (@list @t169 @t171 @t31)) % 1.85/2.10 (define @t219 () (forall @t218 @t217)) % 1.85/2.10 (define @t220 () (tptp.hAPP @t45 @t54)) % 1.85/2.10 (define @t221 () (tptp.hAPP @t220 @t30)) % 1.85/2.10 (define @t222 () (tptp.class_Rings_Osemiring__0 @t31)) % 1.85/2.10 (define @t223 () (and @t212 @t222)) % 1.85/2.10 (define @t224 () (@var "B_r" $$unsorted)) % 1.85/2.10 (define @t225 () (@list @t36)) % 1.85/2.10 (define @t226 () (@var "B_m" $$unsorted)) % 1.85/2.10 (define @t227 () (@var "B_q" $$unsorted)) % 1.85/2.10 (define @t228 () (@var "B_p" $$unsorted)) % 1.85/2.10 (define @t229 () (@list @t226)) % 1.85/2.10 (define @t230 () (@list @t91 @t31)) % 1.85/2.10 (define @t231 () (= @t65 @t34)) % 1.85/2.10 (define @t232 () (tptp.hAPP @t58 @t65)) % 1.85/2.10 (define @t233 () (tptp.hAPP @t232 @t65)) % 1.85/2.10 (define @t234 () (@list @t65 @t31)) % 1.85/2.10 (define @t235 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t91)) % 1.85/2.10 (define @t236 () (tptp.class_Rings_Ocomm__ring__1 @t31)) % 1.85/2.10 (define @t237 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t171 @t66)) % 1.85/2.10 (define @t238 () (@var "V_c_2" $$unsorted)) % 1.85/2.10 (define @t239 () (= @t238 @t54)) % 1.85/2.10 (define @t240 () (or @t239 @t237)) % 1.85/2.10 (define @t241 () (tptp.hAPP @t58 @t238)) % 1.85/2.10 (define @t242 () (tptp.hAPP @t241 @t66)) % 1.85/2.10 (define @t243 () (tptp.hAPP @t241 @t171)) % 1.85/2.10 (define @t244 () (@list @t66 @t171 @t238 @t31)) % 1.85/2.10 (define @t245 () (tptp.hAPP @t58 @t66)) % 1.85/2.10 (define @t246 () (tptp.hAPP @t245 @t238)) % 1.85/2.10 (define @t247 () (tptp.hAPP @t58 @t171)) % 1.85/2.10 (define @t248 () (tptp.hAPP @t247 @t238)) % 1.85/2.10 (define @t249 () (@list @t66 @t238 @t171 @t31)) % 1.85/2.10 (define @t250 () (tptp.c_Nat_OSuc @t7)) % 1.85/2.10 (define @t251 () (tptp.c_Nat_OSuc @t30)) % 1.85/2.10 (define @t252 () (tptp.c_Nat_OSuc @t72)) % 1.85/2.10 (define @t253 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t252 @t251)) % 1.85/2.10 (define @t254 () (tptp.hAPP @t85 @t72)) % 1.85/2.10 (define @t255 () (tptp.c_Nat_OSuc @t97)) % 1.85/2.10 (define @t256 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t255 @t98)) % 1.85/2.10 (define @t257 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t97)) % 1.85/2.10 (define @t258 () (= @t97 @t83)) % 1.85/2.10 (define @t259 () (= @t98 @t83)) % 1.85/2.10 (define @t260 () (and @t259 @t258)) % 1.85/2.10 (define @t261 () (tptp.hAPP @t84 @t30)) % 1.85/2.10 (define @t262 () (@list @t98)) % 1.85/2.10 (define @t263 () (tptp.hAPP @t261 @t72)) % 1.85/2.10 (define @t264 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t30 @t72)) % 1.85/2.10 (define @t265 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t72 @t30)) % 1.85/2.10 (define @t266 () (@var "V_nat_H_2" $$unsorted)) % 1.85/2.10 (define @t267 () (@var "V_nat_2" $$unsorted)) % 1.85/2.10 (define @t268 () (tptp.c_Polynomial_Opoly @t31 @t169)) % 1.85/2.10 (define @t269 () (and (tptp.class_Int_Oring__char__0 @t31) @t177)) % 1.85/2.10 (define @t270 () (@list @t168 @t169 @t31)) % 1.85/2.10 (define @t271 () (tptp.c_Nat_OSuc @t98)) % 1.85/2.10 (define @t272 () (@list @t98 @t97)) % 1.85/2.10 (define @t273 () (tptp.hAPP @t261 @t134)) % 1.85/2.10 (define @t274 () (@list @t134 @t30 @t72)) % 1.85/2.10 (define @t275 () (tptp.hAPP @t84 (tptp.c_Nat_OSuc @t95))) % 1.85/2.10 (define @t276 () (tptp.hAPP @t275 @t97)) % 1.85/2.10 (define @t277 () (tptp.hAPP @t275 @t98)) % 1.85/2.10 (define @t278 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t72 @t251)) % 1.85/2.10 (define @t279 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t123 @t133)) % 1.85/2.10 (define @t280 () (@var "V_l" $$unsorted)) % 1.85/2.10 (define @t281 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t134 @t280)) % 1.85/2.10 (define @t282 () (@list @t280 @t134 @t133 @t123)) % 1.85/2.10 (define @t283 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t252 @t30)) % 1.85/2.10 (define @t284 () (= @t98 @t250)) % 1.85/2.10 (define @t285 () (@list @t30 @t123)) % 1.85/2.10 (define @t286 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t271)) % 1.85/2.10 (define @t287 () (= @t286 (= @t97 @t98))) % 1.85/2.10 (define @t288 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t72 @t251)) % 1.85/2.10 (define @t289 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t98 @t255)) % 1.85/2.10 (define @t290 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t36 @t185)) % 1.85/2.10 (define @t291 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t185)) % 1.85/2.10 (define @t292 () (tptp.hAPP @t186 @t251)) % 1.85/2.10 (define @t293 () (tptp.hAPP @t46 @t251)) % 1.85/2.10 (define @t294 () (@list @t185 @t30 @t36 @t31)) % 1.85/2.10 (define @t295 () (= @t36 @t185)) % 1.85/2.10 (define @t296 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t36)) % 1.85/2.10 (define @t297 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t134 @t30)) % 1.85/2.10 (define @t298 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t134 @t30)) % 1.85/2.10 (define @t299 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t34 @t36)) % 1.85/2.10 (define @t300 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t30 @t51)) % 1.85/2.10 (define @t301 () (tptp.c_Nat_OSuc @t120)) % 1.85/2.10 (define @t302 () (tptp.c_Polynomial_Odegree @t31 @t200)) % 1.85/2.10 (define @t303 () (@var "V_nat_H" $$unsorted)) % 1.85/2.10 (define @t304 () (@var "V_nat_H_1" $$unsorted)) % 1.85/2.10 (define @t305 () (= @t97 @t250)) % 1.85/2.10 (define @t306 () (or @t145 @t99)) % 1.85/2.10 (define @t307 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t252 @t30)) % 1.85/2.10 (define @t308 () (tptp.c_Nat_OSuc @t123)) % 1.85/2.10 (define @t309 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t133 @t134)) % 1.85/2.10 (define @t310 () (not @t73)) % 1.85/2.10 (define @t311 () (tptp.c_Polynomial_Opoly @t31 @t119)) % 1.85/2.10 (define @t312 () (tptp.hAPP @t311 @t91)) % 1.85/2.10 (define @t313 () (tptp.class_Rings_Ocomm__ring @t31)) % 1.85/2.10 (define @t314 () (tptp.hAPP @t59 @t36)) % 1.85/2.10 (define @t315 () (tptp.class_Rings_Olinordered__ring @t31)) % 1.85/2.10 (define @t316 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t66 @t54)) % 1.85/2.10 (define @t317 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t171 @t54)) % 1.85/2.10 (define @t318 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t66)) % 1.85/2.10 (define @t319 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t171)) % 1.85/2.10 (define @t320 () (tptp.hAPP @t247 @t66)) % 1.85/2.10 (define @t321 () (tptp.class_Rings_Olinordered__ring__strict @t31)) % 1.85/2.10 (define @t322 () (@list @t66 @t171 @t31)) % 1.85/2.10 (define @t323 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t189)) % 1.85/2.10 (define @t324 () (tptp.class_Rings_Oordered__cancel__semiring @t31)) % 1.85/2.10 (define @t325 () (@list @t185 @t36 @t31)) % 1.85/2.10 (define @t326 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t189 @t54)) % 1.85/2.10 (define @t327 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t185 @t54)) % 1.85/2.10 (define @t328 () (tptp.hAPP @t58 @t185)) % 1.85/2.10 (define @t329 () (tptp.hAPP @t328 @t36)) % 1.85/2.10 (define @t330 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t36 @t54)) % 1.85/2.10 (define @t331 () (tptp.class_Rings_Oordered__ring @t31)) % 1.85/2.10 (define @t332 () (@var "V_c" $$unsorted)) % 1.85/2.10 (define @t333 () (tptp.hAPP @t328 @t332)) % 1.85/2.10 (define @t334 () (tptp.hAPP @t59 @t332)) % 1.85/2.10 (define @t335 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t334 @t333)) % 1.85/2.10 (define @t336 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t332)) % 1.85/2.10 (define @t337 () (tptp.class_Rings_Oordered__semiring @t31)) % 1.85/2.10 (define @t338 () (@list @t332 @t185 @t36 @t31)) % 1.85/2.10 (define @t339 () (tptp.hAPP @t58 @t332)) % 1.85/2.10 (define @t340 () (tptp.hAPP @t339 @t185)) % 1.85/2.10 (define @t341 () (tptp.hAPP @t339 @t36)) % 1.85/2.10 (define @t342 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t341 @t340)) % 1.85/2.10 (define @t343 () (=> @t290 (=> @t336 @t342))) % 1.85/2.10 (define @t344 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t332 @t54)) % 1.85/2.10 (define @t345 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t185 @t36)) % 1.85/2.10 (define @t346 () (@list @t332 @t36 @t185 @t31)) % 1.85/2.10 (define @t347 () (@var "V_d" $$unsorted)) % 1.85/2.10 (define @t348 () (tptp.hAPP @t328 @t347)) % 1.85/2.10 (define @t349 () (=> @t336 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t334 @t348))) % 1.85/2.10 (define @t350 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t332 @t347)) % 1.85/2.10 (define @t351 () (@list @t347 @t332 @t185 @t36 @t31)) % 1.85/2.10 (define @t352 () (tptp.hAPP @t92 @t204)) % 1.85/2.10 (define @t353 () (tptp.hAPP @t58 @t91)) % 1.85/2.10 (define @t354 () (tptp.hAPP @t353 @t352)) % 1.85/2.10 (define @t355 () (tptp.hAPP @t92 (tptp.c_Nat_OSuc @t204))) % 1.85/2.10 (define @t356 () (@list @t204 @t91 @t31)) % 1.85/2.10 (define @t357 () (tptp.hAPP @t58 @t352)) % 1.85/2.10 (define @t358 () (tptp.c_Polynomial_Opoly @t31 @t33)) % 1.85/2.10 (define @t359 () (@list @t169 @t31)) % 1.85/2.10 (define @t360 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t171 @t66)) % 1.85/2.10 (define @t361 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t243 @t242)) % 1.85/2.10 (define @t362 () (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t238)) % 1.85/2.10 (define @t363 () (tptp.c_Orderings_Oord__class_Oless @t31 @t238 @t54)) % 1.85/2.10 (define @t364 () (tptp.c_Orderings_Oord__class_Oless @t31 @t334 @t348)) % 1.85/2.10 (define @t365 () (=> @t336 @t364)) % 1.85/2.10 (define @t366 () (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t185)) % 1.85/2.10 (define @t367 () (tptp.c_Orderings_Oord__class_Oless @t31 @t332 @t347)) % 1.85/2.10 (define @t368 () (tptp.c_Orderings_Oord__class_Oless @t31 @t36 @t185)) % 1.85/2.10 (define @t369 () (tptp.class_Rings_Olinordered__semiring__strict @t31)) % 1.85/2.10 (define @t370 () (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t332)) % 1.85/2.10 (define @t371 () (=> @t336 @t368)) % 1.85/2.10 (define @t372 () (tptp.c_Orderings_Oord__class_Oless @t31 @t334 @t333)) % 1.85/2.10 (define @t373 () (=> @t372 @t371)) % 1.85/2.10 (define @t374 () (tptp.class_Rings_Olinordered__semiring @t31)) % 1.85/2.10 (define @t375 () (@list @t185 @t332 @t36 @t31)) % 1.85/2.10 (define @t376 () (tptp.c_Orderings_Oord__class_Oless @t31 @t341 @t340)) % 1.85/2.10 (define @t377 () (=> @t376 @t371)) % 1.85/2.10 (define @t378 () (@list @t185 @t36 @t332 @t31)) % 1.85/2.10 (define @t379 () (=> @t370 @t290)) % 1.85/2.10 (define @t380 () (tptp.hAPP @t353 @t88)) % 1.85/2.10 (define @t381 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t88 @t34)) % 1.85/2.10 (define @t382 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t88)) % 1.85/2.10 (define @t383 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t91)) % 1.85/2.10 (define @t384 () (tptp.class_Rings_Olinordered__idom @t31)) % 1.85/2.10 (define @t385 () (@list @t88 @t91 @t31)) % 1.85/2.10 (define @t386 () (tptp.hAPP @t58 @t88)) % 1.85/2.10 (define @t387 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t30 @t72)) % 1.85/2.10 (define @t388 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t72)) % 1.85/2.10 (define @t389 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t72 @t30)) % 1.85/2.10 (define @t390 () (tptp.hAPP @t135 @t30)) % 1.85/2.10 (define @t391 () (tptp.hAPP @t135 @t72)) % 1.85/2.10 (define @t392 () (@list @t30 @t72 @t134)) % 1.85/2.10 (define @t393 () (@var "B_j" $$unsorted)) % 1.85/2.10 (define @t394 () (@list @t393)) % 1.85/2.10 (define @t395 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t250 @t72)) % 1.85/2.10 (define @t396 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t250 @t30)) % 1.85/2.10 (define @t397 () (=> @t146 @t257)) % 1.85/2.10 (define @t398 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t108 @t107)) % 1.85/2.10 (define @t399 () (@list @t36 @t30 @t72 @t31)) % 1.85/2.10 (define @t400 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t204) @t91)) % 1.85/2.10 (define @t401 () (tptp.hAPP @t202 @t204)) % 1.85/2.10 (define @t402 () (@list @t91 @t204 @t119 @t31)) % 1.85/2.10 (define @t403 () (tptp.hAPP @t84 @t120)) % 1.85/2.10 (define @t404 () (tptp.hAPP (tptp.hAPP @t37 @t119) @t30)) % 1.85/2.10 (define @t405 () (@list @t30 @t119 @t31)) % 1.85/2.10 (define @t406 () (tptp.c_Orderings_Oord__class_Oless @t31 @t47 @t187)) % 1.85/2.10 (define @t407 () (tptp.c_Orderings_Oord__class_Oless @t31 @t88 @t91)) % 1.85/2.10 (define @t408 () (tptp.c_Orderings_Oord__class_Oless @t31 @t91 @t88)) % 1.85/2.10 (define @t409 () (not @t408)) % 1.85/2.10 (define @t410 () (=> @t165 (=> @t409 @t407))) % 1.85/2.10 (define @t411 () (@var "V_ry" $$unsorted)) % 1.85/2.10 (define @t412 () (@var "V_lx" $$unsorted)) % 1.85/2.10 (define @t413 () (tptp.hAPP @t58 @t412)) % 1.85/2.10 (define @t414 () (@var "V_rx" $$unsorted)) % 1.85/2.10 (define @t415 () (tptp.hAPP @t58 @t414)) % 1.85/2.10 (define @t416 () (tptp.hAPP @t415 @t411)) % 1.85/2.10 (define @t417 () (tptp.hAPP @t413 @t416)) % 1.85/2.10 (define @t418 () (@list @t411 @t414 @t412 @t31)) % 1.85/2.10 (define @t419 () (tptp.hAPP @t58 (tptp.hAPP @t413 @t414))) % 1.85/2.10 (define @t420 () (@var "V_ly" $$unsorted)) % 1.85/2.10 (define @t421 () (tptp.hAPP @t58 @t420)) % 1.85/2.10 (define @t422 () (tptp.hAPP @t58 (tptp.hAPP @t413 @t420))) % 1.85/2.10 (define @t423 () (tptp.hAPP @t422 @t414)) % 1.85/2.10 (define @t424 () (@list @t414 @t420 @t412 @t31)) % 1.85/2.10 (define @t425 () (tptp.hAPP @t422 @t416)) % 1.85/2.10 (define @t426 () (@list @t411 @t414 @t420 @t412 @t31)) % 1.85/2.10 (define @t427 () (= @t119 @t33)) % 1.85/2.10 (define @t428 () (not @t427)) % 1.85/2.10 (define @t429 () (=> @t428 (= @t302 @t301))) % 1.85/2.10 (define @t430 () (@list @t36 @t119 @t31)) % 1.85/2.10 (define @t431 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t36 @t332)) % 1.85/2.10 (define @t432 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t185 @t332)) % 1.85/2.10 (define @t433 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t36 @t185)) % 1.85/2.10 (define @t434 () (tptp.hAPP @t84 @t119)) % 1.85/2.10 (define @t435 () (tptp.hAPP @t92 @t119)) % 1.85/2.10 (define @t436 () (@list @t204 @t119 @t91 @t31)) % 1.85/2.10 (define @t437 () (tptp.c_Polynomial_Odegree @t31 @t204)) % 1.85/2.10 (define @t438 () (not (= @t204 @t33))) % 1.85/2.10 (define @t439 () (tptp.c_Rings_Odvd__class_Odvd @t32 @t119 @t204)) % 1.85/2.10 (define @t440 () (@list @t204 @t119 @t31)) % 1.85/2.10 (define @t441 () (tptp.hAPP @t58 @t54)) % 1.85/2.10 (define @t442 () (= (tptp.hAPP @t441 @t36) @t54)) % 1.85/2.10 (define @t443 () (= (tptp.hAPP @t59 @t54) @t54)) % 1.85/2.10 (define @t444 () (= @t189 @t54)) % 1.85/2.10 (define @t445 () (= @t185 @t54)) % 1.85/2.10 (define @t446 () (not @t445)) % 1.85/2.10 (define @t447 () (not (= @t34 @t54))) % 1.85/2.10 (define @t448 () (forall @t118 (=> @t209 @t447))) % 1.85/2.10 (define @t449 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t238)) % 1.85/2.10 (define @t450 () (@list @t238 @t169 @t31)) % 1.85/2.10 (define @t451 () (= (tptp.hAPP (tptp.hAPP @t58 @t34) @t36) @t36)) % 1.85/2.10 (define @t452 () (= (tptp.hAPP @t59 @t34) @t36)) % 1.85/2.10 (define @t453 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t185)) % 1.85/2.10 (define @t454 () (tptp.hAPP @t59 @t453)) % 1.85/2.10 (define @t455 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t189)) % 1.85/2.10 (define @t456 () (tptp.class_Rings_Oring @t31)) % 1.85/2.10 (define @t457 () (tptp.hAPP @t58 @t77)) % 1.85/2.10 (define @t458 () (tptp.hAPP @t457 @t185)) % 1.85/2.10 (define @t459 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t66)) % 1.85/2.10 (define @t460 () (= @t171 @t459)) % 1.85/2.10 (define @t461 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t36 @t333)) % 1.85/2.10 (define @t462 () (tptp.class_Rings_Odvd @t31)) % 1.85/2.10 (define @t463 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t189 @t332)) % 1.85/2.10 (define @t464 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t65 @t64)) % 1.85/2.10 (define @t465 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t64)) % 1.85/2.10 (define @t466 () (@list @t64 @t65 @t31)) % 1.85/2.10 (define @t467 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t65)) % 1.85/2.10 (define @t468 () (not (tptp.c_Rings_Odvd__class_Odvd @t32 (tptp.hAPP @t175 (tptp.c_Nat_OSuc @t174)) @t119))) % 1.85/2.10 (define @t469 () (tptp.c_Orderings_Oord__class_Oless @t31 @t66 @t171)) % 1.85/2.10 (define @t470 () (tptp.c_Orderings_Oord__class_Oless @t31 @t171 @t66)) % 1.85/2.10 (define @t471 () (or (and @t362 @t470) (and @t363 @t469))) % 1.85/2.10 (define @t472 () (tptp.c_Orderings_Oord__class_Oless @t31 @t243 @t242)) % 1.85/2.10 (define @t473 () (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t189)) % 1.85/2.10 (define @t474 () (tptp.c_Orderings_Oord__class_Oless @t31 @t189 @t54)) % 1.85/2.10 (define @t475 () (tptp.c_Orderings_Oord__class_Oless @t31 @t185 @t54)) % 1.85/2.10 (define @t476 () (=> @t55 @t366)) % 1.85/2.10 (define @t477 () (@list @t36 @t185 @t31)) % 1.85/2.10 (define @t478 () (tptp.c_Orderings_Oord__class_Oless @t31 @t36 @t54)) % 1.85/2.10 (define @t479 () (=> @t368 (=> @t370 @t376))) % 1.85/2.10 (define @t480 () (tptp.c_Orderings_Oord__class_Oless @t31 @t332 @t54)) % 1.85/2.10 (define @t481 () (tptp.c_Orderings_Oord__class_Oless @t31 @t185 @t36)) % 1.85/2.10 (define @t482 () (tptp.c_Orderings_Oord__class_Oless @t31 @t171 @t54)) % 1.85/2.10 (define @t483 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t171)) % 1.85/2.10 (define @t484 () (@list @t171 @t31)) % 1.85/2.10 (define @t485 () (tptp.hAPP @t58 @t72)) % 1.85/2.10 (define @t486 () (@var "V_r" $$unsorted)) % 1.85/2.10 (define @t487 () (= @t65 @t64)) % 1.85/2.10 (define @t488 () (tptp.c_Nat_OSuc @t250)) % 1.85/2.10 (define @t489 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t98 @t97)) % 1.85/2.10 (define @t490 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t108 @t107)) % 1.85/2.10 (define @t491 () (@list @t91)) % 1.85/2.10 (define @t492 () (tptp.class_Groups_Oordered__ab__group__add @t31)) % 1.85/2.10 (define @t493 () (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t171)) % 1.85/2.10 (define @t494 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t64 @t65)) % 1.85/2.10 (define @t495 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t65 @t64)) % 1.85/2.10 (define @t496 () (@list @t64 @t65)) % 1.85/2.10 (define @t497 () (and @t495 (not @t494))) % 1.85/2.10 (define @t498 () (not @t487)) % 1.85/2.10 (define @t499 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t185 @t36)) % 1.85/2.10 (define @t500 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t36 @t185)) % 1.85/2.10 (define @t501 () (and @t500 (not @t499))) % 1.85/2.10 (define @t502 () (not @t295)) % 1.85/2.10 (define @t503 () (@list @t185 @t36)) % 1.85/2.10 (define @t504 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t91 @t88)) % 1.85/2.10 (define @t505 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t88 @t91)) % 1.85/2.10 (define @t506 () (and @t504 (not @t505))) % 1.85/2.10 (define @t507 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t36 @t332)) % 1.85/2.10 (define @t508 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t185 @t332)) % 1.85/2.10 (define @t509 () (@list @t332 @t185 @t36)) % 1.85/2.10 (define @t510 () (= @t185 @t332)) % 1.85/2.10 (define @t511 () (@var "V_z" $$unsorted)) % 1.85/2.10 (define @t512 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t91 @t511)) % 1.85/2.10 (define @t513 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t88 @t511)) % 1.85/2.10 (define @t514 () (@list @t511 @t88 @t91)) % 1.85/2.10 (define @t515 () (and @t507 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t332 @t36)))) % 1.85/2.10 (define @t516 () (and @t512 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t511 @t91)))) % 1.85/2.10 (define @t517 () (=> (and @t513 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t511 @t88))) @t516)) % 1.85/2.10 (define @t518 () (not (= @t88 @t91))) % 1.85/2.10 (define @t519 () (= @t65 @t54)) % 1.85/2.10 (define @t520 () (tptp.class_Groups_Ogroup__add @t31)) % 1.85/2.10 (define @t521 () (tptp.class_Groups_Olinordered__ab__group__add @t31)) % 1.85/2.10 (define @t522 () (= @t54 @t171)) % 1.85/2.10 (define @t523 () (@list @t171 @t66 @t31)) % 1.85/2.10 (define @t524 () (@list @t66 @t171 @t97)) % 1.85/2.10 (define @t525 () (@list @t185 @t30 @t36)) % 1.85/2.10 (define @t526 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t31 @t119)) % 1.85/2.10 (define @t527 () (tptp.class_Orderings_Opreorder @t31)) % 1.85/2.10 (define @t528 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t88 @t91)) % 1.85/2.10 (define @t529 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t91 @t88)) % 1.85/2.10 (define @t530 () (tptp.class_Orderings_Olinorder @t31)) % 1.85/2.10 (define @t531 () (tptp.tc_fun @t31 @t198)) % 1.85/2.10 (define @t532 () (tptp.c_Orderings_Oord__class_Oless__eq @t531 @t2 @t1)) % 1.85/2.10 (define @t533 () (tptp.class_Orderings_Oord @t198)) % 1.85/2.10 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t511 @t88)) % 1.85/2.10 (define @t535 () (tptp.class_Orderings_Oorder @t31)) % 1.85/2.10 (define @t536 () (@list @t511 @t91 @t88 @t31)) % 1.85/2.10 (define @t537 () (@list @t91 @t88 @t31)) % 1.85/2.10 (define @t538 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t88 @t511)) % 1.85/2.10 (define @t539 () (@list @t511 @t88 @t91 @t31)) % 1.85/2.10 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t332 @t36)) % 1.85/2.10 (define @t541 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t36 @t332)) % 1.85/2.10 (define @t542 () (tptp.class_Orderings_Oord @t31)) % 1.85/2.10 (define @t543 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t185 @t332)) % 1.85/2.10 (define @t544 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t65 @t64)) % 1.85/2.10 (define @t545 () (= @t544 @t487)) % 1.85/2.10 (define @t546 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t64 @t65)) % 1.85/2.10 (define @t547 () (@list @t65 @t64 @t31)) % 1.85/2.10 (define @t548 () (@list @t1 @t2 @t31 @t198)) % 1.85/2.10 (define @t549 () (tptp.c_Orderings_Oord__class_Oless @t31 @t64 @t65)) % 1.85/2.10 (define @t550 () (tptp.c_Orderings_Oord__class_Oless @t31 @t65 @t64)) % 1.85/2.10 (define @t551 () (not @t550)) % 1.85/2.10 (define @t552 () (= @t551 @t487)) % 1.85/2.10 (define @t553 () (tptp.c_Orderings_Oord__class_Oless @t31 @t36 @t332)) % 1.85/2.10 (define @t554 () (tptp.c_Orderings_Oord__class_Oless @t31 @t185 @t332)) % 1.85/2.10 (define @t555 () (tptp.c_Orderings_Oord__class_Oless @t31 @t332 @t36)) % 1.85/2.10 (define @t556 () (tptp.c_Orderings_Oord__class_Oless @t31 @t91 @t511)) % 1.85/2.10 (define @t557 () (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t88 @t511) @t556)) % 1.85/2.10 (define @t558 () (tptp.c_Orderings_Oord__class_Oless @t31 @t511 @t91)) % 1.85/2.10 (define @t559 () (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t511 @t88) @t558)) % 1.85/2.10 (define @t560 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.85/2.10 (define @t561 () (or @t529 @t407)) % 1.85/2.10 (define @t562 () (forall @t385 (=> @t530 @t561))) % 1.85/2.10 (define @t563 () (tptp.c_Polynomial_Opcompose @t31 @t119 @t204)) % 1.85/2.10 (define @t564 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t91 @t88)) % 1.85/2.10 (define @t565 () (tptp.c_Polynomial_Opos__poly @t31 @t169)) % 1.85/2.10 (define @t566 () (tptp.class_RealVector_Oreal__normed__algebra @t31)) % 1.85/2.10 (define @t567 () (tptp.c_Polynomial_Opos__poly @t31 @t204)) % 1.85/2.10 (define @t568 () (tptp.c_Polynomial_Opos__poly @t31 @t119)) % 1.85/2.10 (define @t569 () (@var "V_one_2" $$unsorted)) % 1.85/2.10 (define @t570 () (@var "V_times_2" $$unsorted)) % 1.85/2.10 (define @t571 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t31 @t569 @t570) @t171)) % 1.85/2.10 (define @t572 () (@list @t88 @t31)) % 1.85/2.10 (define @t573 () (@var "V_xa" $$unsorted)) % 1.85/2.10 (define @t574 () (tptp.hAPP @t58 @t573)) % 1.85/2.10 (define @t575 () (tptp.hAPP @t574 @t91)) % 1.85/2.10 (define @t576 () (tptp.hAPP @t560 @t91)) % 1.85/2.10 (define @t577 () (tptp.hAPP @t576 @t88)) % 1.85/2.10 (define @t578 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t88)) % 1.85/2.10 (define @t579 () (tptp.class_Lattices_Oboolean__algebra @t31)) % 1.85/2.10 (define @t580 () (tptp.c_Polynomial_Omonom @t31 @t171 @t97)) % 1.85/2.10 (define @t581 () (tptp.c_Polynomial_Omonom @t31 @t36 @t30)) % 1.85/2.10 (define @t582 () (tptp.c_Polynomial_Odegree @t31 @t581)) % 1.85/2.10 (define @t583 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t31)) % 1.85/2.10 (define @t584 () (tptp.hAPP @t353 @t91)) % 1.85/2.10 (define @t585 () (@var "V_A_2" $$unsorted)) % 1.85/2.10 (define @t586 () (tptp.hAPP @t585 @t65)) % 1.85/2.10 (define @t587 () (tptp.tc_fun @t198 @t31)) % 1.85/2.10 (define @t588 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t30 @t72)) % 1.85/2.10 (define @t589 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t72 @t30)) % 1.85/2.10 (define @t590 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.85/2.10 (define @t591 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.85/2.10 (define @t592 () (tptp.hAPP @t591 @t134)) % 1.85/2.10 (define @t593 () (@var "V_z_2" $$unsorted)) % 1.85/2.10 (define @t594 () (tptp.c_Polynomial_Opoly__rec @t31 @t198 @t593 @t2 @t169)) % 1.85/2.10 (define @t595 () (tptp.hAPP (tptp.hAPP @t2 @t171) @t169)) % 1.85/2.10 (define @t596 () (tptp.c_Polynomial_Opoly__rec @t31 @t198 @t593 @t2 (tptp.c_Polynomial_OpCons @t198 @t171 @t169))) % 1.85/2.10 (define @t597 () (tptp.c_Groups_Ozero__class_Ozero @t199)) % 1.85/2.10 (define @t598 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t198)) @t597) @t593) @t593)) % 1.85/2.10 (define @t599 () (tptp.class_Groups_Ozero @t198)) % 1.85/2.10 (define @t600 () (tptp.c_Polynomial_Odegree @t31 @t169)) % 1.85/2.10 (define @t601 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t120 @t30)) % 1.85/2.10 (define @t602 () (tptp.c_Polynomial_Ocoeff @t31 @t119)) % 1.85/2.10 (define @t603 () (tptp.hAPP @t602 @t30)) % 1.85/2.10 (define @t604 () (= @t603 @t54)) % 1.85/2.10 (define @t605 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t120 @t30)) % 1.85/2.10 (define @t606 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t83)) % 1.85/2.10 (define @t607 () (@var "V_w" $$unsorted)) % 1.85/2.10 (define @t608 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t607 @t511)) % 1.85/2.10 (define @t609 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t511 @t607)) % 1.85/2.10 (define @t610 () (@list @t607 @t511)) % 1.85/2.10 (define @t611 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t123 @t133)) % 1.85/2.10 (define @t612 () (@var "V_w_2" $$unsorted)) % 1.85/2.10 (define @t613 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.85/2.10 (define @t614 () (@list @t593)) % 1.85/2.10 (define @t615 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t36 @t185)) % 1.85/2.10 (define @t616 () (tptp.c_Polynomial_Omonom @t31 @t185 @t30)) % 1.85/2.10 (define @t617 () (@var "V_B_2" $$unsorted)) % 1.85/2.10 (define @t618 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t134)) % 1.85/2.10 (define @t619 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t123 @t133)) % 1.85/2.10 (define @t620 () (@var "V_z3" $$unsorted)) % 1.85/2.10 (define @t621 () (@var "V_z2" $$unsorted)) % 1.85/2.10 (define @t622 () (tptp.hAPP @t591 @t621)) % 1.85/2.10 (define @t623 () (@var "V_z1" $$unsorted)) % 1.85/2.10 (define @t624 () (tptp.hAPP @t591 @t623)) % 1.85/2.10 (define @t625 () (@list @t620 @t621 @t623)) % 1.85/2.10 (define @t626 () (tptp.hAPP @t591 @t511)) % 1.85/2.10 (define @t627 () (tptp.hAPP @t626 @t607)) % 1.85/2.10 (define @t628 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t511)) % 1.85/2.10 (define @t629 () (tptp.hAPP @t591 @t607)) % 1.85/2.10 (define @t630 () (@list @t511)) % 1.85/2.10 (define @t631 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t280 @t72)) % 1.85/2.10 (define @t632 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t280 @t30)) % 1.85/2.10 (define @t633 () (@list @t280 @t30 @t72)) % 1.85/2.10 (define @t634 () (@var "V_d_2" $$unsorted)) % 1.85/2.10 (define @t635 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t171 @t66)) % 1.85/2.10 (define @t636 () (= @t635 (tptp.c_Groups_Ominus__class_Ominus @t31 @t238 @t634))) % 1.85/2.10 (define @t637 () (@list @t634 @t238 @t66 @t171 @t31)) % 1.85/2.10 (define @t638 () (= @t635 @t54)) % 1.85/2.10 (define @t639 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t615)) % 1.85/2.10 (define @t640 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t30)) % 1.85/2.10 (define @t641 () (= @t640 @t7)) % 1.85/2.10 (define @t642 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t252 @t30)) % 1.85/2.10 (define @t643 () (tptp.hAPP @t85 @t134)) % 1.85/2.10 (define @t644 () (tptp.c_Groups_Ominus__class_Ominus @t32 @t119 @t204)) % 1.85/2.10 (define @t645 () (tptp.c_Polynomial_OpCons @t31 @t185 @t204)) % 1.85/2.10 (define @t646 () (@list @t204 @t185 @t119 @t36 @t31)) % 1.85/2.10 (define @t647 () (tptp.c_Polynomial_Ocoeff @t31 @t204)) % 1.85/2.10 (define @t648 () (tptp.hAPP @t647 @t30)) % 1.85/2.10 (define @t649 () (@list @t30 @t204 @t119 @t31)) % 1.85/2.10 (define @t650 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t123 @t133)) % 1.85/2.10 (define @t651 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t650 @t134)) % 1.85/2.10 (define @t652 () (@var "B_n" $$unsorted)) % 1.85/2.10 (define @t653 () (tptp.c_Polynomial_Ocoeff @t31 @t169)) % 1.85/2.10 (define @t654 () (@list @t652)) % 1.85/2.10 (define @t655 () (= @t238 @t634)) % 1.85/2.10 (define @t656 () (tptp.c_Polynomial_Osynthetic__div @t31 @t119 @t332)) % 1.85/2.10 (define @t657 () (@var "V_ya" $$unsorted)) % 1.85/2.10 (define @t658 () (tptp.hAPP @t386 @t657)) % 1.85/2.10 (define @t659 () (tptp.hAPP @t353 @t657)) % 1.85/2.10 (define @t660 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t91 @t88)) % 1.85/2.10 (define @t661 () (tptp.hAPP @t58 @t660)) % 1.85/2.10 (define @t662 () (@list @t657 @t88 @t91 @t31)) % 1.85/2.10 (define @t663 () (@var "V_a_H" $$unsorted)) % 1.85/2.10 (define @t664 () (tptp.hAPP (tptp.hAPP @t58 @t663) @t185)) % 1.85/2.10 (define @t665 () (@list @t185 @t663 @t36 @t31)) % 1.85/2.10 (define @t666 () (tptp.hAPP @t574 @t88)) % 1.85/2.10 (define @t667 () (@list @t88 @t91 @t573 @t31)) % 1.85/2.10 (define @t668 () (@var "V_b_H" $$unsorted)) % 1.85/2.10 (define @t669 () (tptp.hAPP @t59 @t668)) % 1.85/2.10 (define @t670 () (@list @t668 @t185 @t36 @t31)) % 1.85/2.10 (define @t671 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t97 @t95)) % 1.85/2.10 (define @t672 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t95)) % 1.85/2.10 (define @t673 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t95 @t97)) % 1.85/2.10 (define @t674 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t95 @t98)) % 1.85/2.10 (define @t675 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t134 @t640)) % 1.85/2.10 (define @t676 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t134 @t72)) % 1.85/2.10 (define @t677 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t97)) % 1.85/2.10 (define @t678 () (= @t677 @t7)) % 1.85/2.10 (define @t679 () (forall @t114 (= @t678 @t257))) % 1.85/2.10 (define @t680 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t83)) % 1.85/2.10 (define @t681 () (tptp.c_Polynomial_Ocoeff @t31 @t200)) % 1.85/2.10 (define @t682 () (tptp.c_Polynomial_Omonom @t31 @t36 @t72)) % 1.85/2.10 (define @t683 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t31 @t682) @t30)) % 1.85/2.10 (define @t684 () (tptp.hAPP @t647 @t437)) % 1.85/2.10 (define @t685 () (tptp.hAPP @t602 @t120)) % 1.85/2.10 (define @t686 () (tptp.hAPP @t653 @t600)) % 1.85/2.10 (define @t687 () (tptp.c_Nat_OSuc @t606)) % 1.85/2.10 (define @t688 () (tptp.hAPP @t311 @t332)) % 1.85/2.10 (define @t689 () (tptp.hAPP @t124 @t119)) % 1.85/2.10 (define @t690 () (tptp.hAPP @t689 @t72)) % 1.85/2.10 (define @t691 () (not @t82)) % 1.85/2.10 (define @t692 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t31 @t151) @t30)) % 1.85/2.10 (define @t693 () (tptp.hAPP @t45 @t72)) % 1.85/2.10 (define @t694 () (tptp.hAPP @t693 @t30)) % 1.85/2.10 (define @t695 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t91)) % 1.85/2.10 (define @t696 () (@var "V_t_2" $$unsorted)) % 1.85/2.10 (define @t697 () (tptp.hAPP @t591 @t95)) % 1.85/2.10 (define @t698 () (tptp.hAPP @t697 @t98)) % 1.85/2.10 (define @t699 () (= @t95 @t590)) % 1.85/2.10 (define @t700 () (tptp.hAPP @t622 @t607)) % 1.85/2.10 (define @t701 () (tptp.hAPP @t624 @t607)) % 1.85/2.10 (define @t702 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t623 @t621)) % 1.85/2.10 (define @t703 () (@list @t607 @t621 @t623)) % 1.85/2.10 (define @t704 () (tptp.hAPP @t629 @t621)) % 1.85/2.10 (define @t705 () (tptp.hAPP @t629 @t623)) % 1.85/2.10 (define @t706 () (@list @t621 @t623 @t607)) % 1.85/2.10 (define @t707 () (tptp.c_Polynomial_Opos__poly @t31 (tptp.c_Groups_Ominus__class_Ominus @t32 @t64 @t65))) % 1.85/2.10 (define @t708 () (@var "V_l_2" $$unsorted)) % 1.85/2.10 (define @t709 () (@list @t708 @t95)) % 1.85/2.10 (define @t710 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t612 @t593)) % 1.85/2.10 (define @t711 () (@list @t593 @t612)) % 1.85/2.10 (define @t712 () (tptp.c_Polynomial_Odegree @t31 @t644)) % 1.85/2.10 (define @t713 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t437 @t30)) % 1.85/2.10 (define @t714 () (@list @t204 @t30 @t119 @t31)) % 1.85/2.10 (define @t715 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t437 @t30)) % 1.85/2.10 (define @t716 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t634 @t696)) % 1.85/2.10 (define @t717 () (@list @t696 @t634)) % 1.85/2.10 (define @t718 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t88)) % 1.85/2.10 (define @t719 () (@var "B_i" $$unsorted)) % 1.85/2.10 (define @t720 () (@list @t719)) % 1.85/2.10 (define @t721 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 @t185)) % 1.85/2.10 (define @t722 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t721)) % 1.85/2.10 (define @t723 () (tptp.class_Groups_Ocomm__monoid__add @t31)) % 1.85/2.10 (define @t724 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t185 @t347)) % 1.85/2.10 (define @t725 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 @t332)) % 1.85/2.10 (define @t726 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t332 @t347)) % 1.85/2.10 (define @t727 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t721 @t332)) % 1.85/2.10 (define @t728 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t185 @t332)) % 1.85/2.10 (define @t729 () (= @t727 (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 @t728))) % 1.85/2.10 (define @t730 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 @t726)) % 1.85/2.10 (define @t731 () (@list @t347 @t332 @t36 @t31)) % 1.85/2.10 (define @t732 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t332 @t36)) % 1.85/2.10 (define @t733 () (tptp.c_Groups_Oplus__class_Oplus @t32 @t119 @t204)) % 1.85/2.10 (define @t734 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t185 @t36)) % 1.85/2.10 (define @t735 () (tptp.class_Groups_Ocancel__semigroup__add @t31)) % 1.85/2.10 (define @t736 () (=> (= @t721 @t725) @t510)) % 1.85/2.10 (define @t737 () (= @t66 @t238)) % 1.85/2.10 (define @t738 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t238 @t171)) % 1.85/2.10 (define @t739 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t66 @t171)) % 1.85/2.10 (define @t740 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t171 @t238)) % 1.85/2.10 (define @t741 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t171 @t66)) % 1.85/2.10 (define @t742 () (@list @t238 @t66 @t171 @t31)) % 1.85/2.10 (define @t743 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t332 @t185)) % 1.85/2.10 (define @t744 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t732 @t743)) % 1.85/2.10 (define @t745 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t31)) % 1.85/2.10 (define @t746 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t725 @t728)) % 1.85/2.10 (define @t747 () (tptp.class_Groups_Oordered__ab__semigroup__add @t31)) % 1.85/2.10 (define @t748 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t238 @t66)) % 1.85/2.10 (define @t749 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t66 @t238)) % 1.85/2.10 (define @t750 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t91 @t88)) % 1.85/2.10 (define @t751 () (tptp.hAPP @t201 @t204)) % 1.85/2.10 (define @t752 () (tptp.hAPP @t58 @t612)) % 1.85/2.10 (define @t753 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t31)) % 1.85/2.10 (define @t754 () (@var "V_e" $$unsorted)) % 1.85/2.10 (define @t755 () (tptp.hAPP @t58 @t721)) % 1.85/2.10 (define @t756 () (tptp.hAPP @t59 @t72)) % 1.85/2.10 (define @t757 () (= (tptp.hAPP @t755 @t332) (tptp.c_Groups_Oplus__class_Oplus @t31 @t334 @t333))) % 1.85/2.10 (define @t758 () (tptp.hAPP @t247 @t634)) % 1.85/2.10 (define @t759 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 @t54) @t36)) % 1.85/2.10 (define @t760 () (tptp.class_Groups_Omonoid__add @t31)) % 1.85/2.10 (define @t761 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t171 @t171)) % 1.85/2.10 (define @t762 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t54 @t36) @t36)) % 1.85/2.10 (define @t763 () (tptp.c_Orderings_Oord__class_Oless @t31 @t725 @t728)) % 1.85/2.10 (define @t764 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t31)) % 1.85/2.10 (define @t765 () (tptp.c_Orderings_Oord__class_Oless @t31 @t732 @t743)) % 1.85/2.10 (define @t766 () (tptp.c_Orderings_Oord__class_Oless @t31 @t725 @t724)) % 1.85/2.10 (define @t767 () (=> @t367 @t766)) % 1.85/2.10 (define @t768 () (tptp.class_Groups_Oordered__comm__monoid__add @t31)) % 1.85/2.10 (define @t769 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t185 @t725)) % 1.85/2.10 (define @t770 () (@list @t36 @t185 @t332 @t31)) % 1.85/2.10 (define @t771 () (= @t64 @t54)) % 1.85/2.10 (define @t772 () (and @t519 @t771)) % 1.85/2.10 (define @t773 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t65 @t64) @t54)) % 1.85/2.10 (define @t774 () (tptp.c_Orderings_Oord__class_Oless @t31 @t721 @t54)) % 1.85/2.10 (define @t775 () (=> @t475 @t774)) % 1.85/2.10 (define @t776 () (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t721)) % 1.85/2.10 (define @t777 () (=> @t366 @t776)) % 1.85/2.10 (define @t778 () (= (tptp.c_Orderings_Oord__class_Oless @t31 @t761 @t54) @t482)) % 1.85/2.10 (define @t779 () (tptp.c_Orderings_Oord__class_Oless @t31 @t185 @t725)) % 1.85/2.10 (define @t780 () (=> @t554 @t779)) % 1.85/2.10 (define @t781 () (tptp.hAPP @t58 @t486)) % 1.85/2.10 (define @t782 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t233 (tptp.hAPP (tptp.hAPP @t58 @t64) @t64))) % 1.85/2.10 (define @t783 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 @t34)) % 1.85/2.10 (define @t784 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t77 @t36) @t54)) % 1.85/2.10 (define @t785 () (tptp.hAPP (tptp.hAPP @t58 @t783) @t72)) % 1.85/2.10 (define @t786 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t34 @t34)) % 1.85/2.10 (define @t787 () (@var "V_e_2" $$unsorted)) % 1.85/2.10 (define @t788 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP (tptp.hAPP @t58 (tptp.c_Groups_Ominus__class_Ominus @t31 @t66 @t171)) @t787) @t634)) % 1.85/2.10 (define @t789 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t245 @t787) @t634)) % 1.85/2.10 (define @t790 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t247 @t787) @t238)) % 1.85/2.10 (define @t791 () (= @t790 @t789)) % 1.85/2.10 (define @t792 () (@list @t634 @t66 @t238 @t787 @t171 @t31)) % 1.85/2.10 (define @t793 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP (tptp.hAPP @t58 @t635) @t787) @t238)) % 1.85/2.10 (define @t794 () (tptp.hAPP @t58 (tptp.c_Groups_Ominus__class_Ominus @t31 @t91 @t36))) % 1.85/2.10 (define @t795 () (tptp.hAPP @t794 @t185)) % 1.85/2.10 (define @t796 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t88 @t185)) % 1.85/2.10 (define @t797 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t380 @t189)) % 1.85/2.10 (define @t798 () (@list @t185 @t36 @t88 @t91 @t31)) % 1.85/2.10 (define @t799 () (= @t615 (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 @t453))) % 1.85/2.10 (define @t800 () (tptp.c_Polynomial_Odegree @t31 @t733)) % 1.85/2.10 (define @t801 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t584 (tptp.hAPP @t386 @t88))) % 1.85/2.10 (define @t802 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t790 @t789)) % 1.85/2.10 (define @t803 () (tptp.c_Orderings_Oord__class_Oless @t31 @t790 @t789)) % 1.85/2.10 (define @t804 () (tptp.hBOOL (tptp.hAPP @t153 @t3))) % 1.85/2.10 (define @t805 () (@var "V_D_2" $$unsorted)) % 1.85/2.10 (define @t806 () (@var "B_k" $$unsorted)) % 1.85/2.10 (define @t807 () (@var "V_v" $$unsorted)) % 1.85/2.10 (define @t808 () (@var "V_u" $$unsorted)) % 1.85/2.10 (define @t809 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP (tptp.hAPP @t58 @t808) @t91) (tptp.hAPP (tptp.hAPP @t58 @t807) @t88))) % 1.85/2.10 (define @t810 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t808 @t807) @t34)) % 1.85/2.10 (define @t811 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t807)) % 1.85/2.10 (define @t812 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t808)) % 1.85/2.10 (define @t813 () (@list @t807 @t808 @t88 @t36 @t91 @t31)) % 1.85/2.10 (define @t814 () (@var "V_ra_2" $$unsorted)) % 1.85/2.10 (define @t815 () (= @t814 @t33)) % 1.85/2.10 (define @t816 () (= @t64 @t33)) % 1.85/2.10 (define @t817 () (= @t168 @t33)) % 1.85/2.10 (define @t818 () (tptp.class_Fields_Ofield @t31)) % 1.85/2.10 (define @t819 () (tptp.c_Nat__Transfer_Otsub @t91 @t88)) % 1.85/2.10 (define @t820 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t88 @t91)) % 1.85/2.10 (define @t821 () (=> @t820 (= @t819 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t91 @t88)))) % 1.85/2.10 (define @t822 () (@list @t91 @t88)) % 1.85/2.10 (define @t823 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t607)) % 1.85/2.10 (define @t824 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t511 @t607)) % 1.85/2.10 (define @t825 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 @t134)) % 1.85/2.10 (define @t826 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t134)) % 1.85/2.10 (define @t827 () (@list @t30 @t134 @t72)) % 1.85/2.10 (define @t828 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t134 @t30)) % 1.85/2.10 (define @t829 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t134 @t72)) % 1.85/2.10 (define @t830 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t133 @t134)) % 1.85/2.10 (define @t831 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 @t72)) % 1.85/2.10 (define @t832 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t30)) % 1.85/2.10 (define @t833 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t832 @t30)) % 1.85/2.10 (define @t834 () (forall @t87 (= @t833 @t72))) % 1.85/2.10 (define @t835 () (tptp.c_Nat_OSuc @t832)) % 1.85/2.10 (define @t836 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t251)) % 1.85/2.10 (define @t837 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t252 @t30)) % 1.85/2.10 (define @t838 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t97 @t95)) % 1.85/2.10 (define @t839 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t806)) % 1.85/2.10 (define @t840 () (@list @t806)) % 1.85/2.10 (define @t841 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t95 @t97)) % 1.85/2.10 (define @t842 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t95 @t98)) % 1.85/2.10 (define @t843 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t133 @t72)) % 1.85/2.10 (define @t844 () (@list @t72 @t133 @t123)) % 1.85/2.10 (define @t845 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t133)) % 1.85/2.10 (define @t846 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t123 @t134)) % 1.85/2.10 (define @t847 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t133 @t280)) % 1.85/2.10 (define @t848 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t826 @t30)) % 1.85/2.10 (define @t849 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t88 @t511)) % 1.85/2.10 (define @t850 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t91 @t849)) % 1.85/2.10 (define @t851 () (@list @t88 @t511 @t91)) % 1.85/2.10 (define @t852 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t123 @t133)) % 1.85/2.10 (define @t853 () (tptp.hAPP @t141 @t808)) % 1.85/2.10 (define @t854 () (tptp.hAPP @t143 @t808)) % 1.85/2.10 (define @t855 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t97)) % 1.85/2.10 (define @t856 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t133 @t123)) % 1.85/2.10 (define @t857 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t134 @t280)) % 1.85/2.10 (define @t858 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t623 @t621)) % 1.85/2.10 (define @t859 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t91 @t849)) % 1.85/2.10 (define @t860 () (@var "V_q2" $$unsorted)) % 1.85/2.10 (define @t861 () (@var "V_q1" $$unsorted)) % 1.85/2.10 (define @t862 () (= @t861 @t860)) % 1.85/2.10 (define @t863 () (@var "V_r2" $$unsorted)) % 1.85/2.10 (define @t864 () (tptp.c_Polynomial_Opdivmod__rel @t31 @t91 @t88 @t860 @t863)) % 1.85/2.10 (define @t865 () (@var "V_r1" $$unsorted)) % 1.85/2.10 (define @t866 () (tptp.c_Polynomial_Opdivmod__rel @t31 @t91 @t88 @t861 @t865)) % 1.85/2.10 (define @t867 () (@list @t863 @t860 @t865 @t861 @t88 @t91 @t31)) % 1.85/2.10 (define @t868 () (= @t865 @t863)) % 1.85/2.10 (define @t869 () (or (and @t284 @t111) (and @t112 @t305))) % 1.85/2.10 (define @t870 () (@list @t72 @t123)) % 1.85/2.10 (define @t871 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t613 @t511)) % 1.85/2.10 (define @t872 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t607 @t511)) % 1.85/2.10 (define @t873 () (@var "V_z_H" $$unsorted)) % 1.85/2.10 (define @t874 () (@var "V_w_H" $$unsorted)) % 1.85/2.10 (define @t875 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t612 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t593 @t613))) % 1.85/2.10 (define @t876 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 @t640)) % 1.85/2.10 (define @t877 () (= @t876 @t72)) % 1.85/2.10 (define @t878 () (=> @t310 @t877)) % 1.85/2.10 (define @t879 () (forall @t87 @t878)) % 1.85/2.10 (define @t880 () (@var "V_j_2" $$unsorted)) % 1.85/2.10 (define @t881 () (@var "V_i_2" $$unsorted)) % 1.85/2.10 (define @t882 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t881 @t95)) % 1.85/2.10 (define @t883 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t880 @t95)) % 1.85/2.10 (define @t884 () (@list @t95 @t880 @t881)) % 1.85/2.10 (define @t885 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t133 @t134)) % 1.85/2.10 (define @t886 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t885 @t123)) % 1.85/2.10 (define @t887 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t856 @t134)) % 1.85/2.10 (define @t888 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t134 @t133)) % 1.85/2.10 (define @t889 () (@list @t123 @t133 @t134)) % 1.85/2.10 (define @t890 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t123 @t885)) % 1.85/2.10 (define @t891 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t852 @t134)) % 1.85/2.10 (define @t892 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t880 @t881)) % 1.85/2.10 (define @t893 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t881 @t880)) % 1.85/2.10 (define @t894 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t511 @t823)) % 1.85/2.10 (define @t895 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t511 @t607)) % 1.85/2.10 (define @t896 () (@var "B_d" $$unsorted)) % 1.85/2.10 (define @t897 () (tptp.hBOOL (tptp.hAPP @t153 @t896))) % 1.85/2.10 (define @t898 () (= @t171 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t66 @t896))) % 1.85/2.10 (define @t899 () (@list @t896)) % 1.85/2.10 (define @t900 () (tptp.hBOOL (tptp.hAPP @t153 @t7))) % 1.85/2.10 (define @t901 () (not @t900)) % 1.85/2.10 (define @t902 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t171 @t66)) % 1.85/2.10 (define @t903 () (tptp.hBOOL (tptp.hAPP @t153 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t171 @t66)))) % 1.85/2.10 (define @t904 () (@list @t66 @t171 @t153)) % 1.85/2.10 (define @t905 () (tptp.c_Nat_OSuc @t133)) % 1.85/2.10 (define @t906 () (tptp.c_Nat_OSuc @t885)) % 1.85/2.10 (define @t907 () (@list @t72 @t133 @t134)) % 1.85/2.10 (define @t908 () (@var "V_u_2" $$unsorted)) % 1.85/2.10 (define @t909 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t84 @t892) @t908) @t97)) % 1.85/2.10 (define @t910 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t84 @t880) @t908) @t97)) % 1.85/2.10 (define @t911 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t84 @t881) @t908) @t98)) % 1.85/2.10 (define @t912 () (= @t911 @t910)) % 1.85/2.10 (define @t913 () (@list @t97 @t98 @t908 @t880 @t881)) % 1.85/2.10 (define @t914 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t854 @t72) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t853 @t30))) % 1.85/2.10 (define @t915 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t911 @t910)) % 1.85/2.10 (define @t916 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t84 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t881 @t880)) @t908) @t98)) % 1.85/2.10 (define @t917 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t880 @t881)) % 1.85/2.10 (define @t918 () (@list @t97 @t98 @t908 @t881 @t880)) % 1.85/2.10 (define @t919 () (@var "V_r_H" $$unsorted)) % 1.85/2.10 (define @t920 () (tptp.hAPP @t201 @t88)) % 1.85/2.10 (define @t921 () (@var "V_q_H" $$unsorted)) % 1.85/2.10 (define @t922 () (tptp.hAPP @t920 @t511)) % 1.85/2.10 (define @t923 () (tptp.c_Polynomial_Opdivmod__rel @t31 @t91 @t88 @t204 @t486)) % 1.85/2.10 (define @t924 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t120 @t437)) % 1.85/2.10 (define @t925 () (tptp.c_Polynomial_Odegree @t31 @t401)) % 1.85/2.10 (define @t926 () (= @t925 @t924)) % 1.85/2.10 (define @t927 () (=> @t438 @t926)) % 1.85/2.10 (define @t928 () (=> @t428 @t927)) % 1.85/2.10 (define @t929 () (=> @t177 @t928)) % 1.85/2.10 (define @t930 () (forall @t440 @t929)) % 1.85/2.10 (define @t931 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t911 @t910)) % 1.85/2.10 (define @t932 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t486)) % 1.85/2.10 (define @t933 () (= @t36 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t486 (tptp.hAPP (tptp.hAPP @t591 @t36) @t204)))) % 1.85/2.10 (define @t934 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t36)) % 1.85/2.10 (define @t935 () (@list @t204 @t486 @t36)) % 1.85/2.10 (define @t936 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t921 @t204)) % 1.85/2.10 (define @t937 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t668 @t185)) % 1.85/2.10 (define @t938 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t668)) % 1.85/2.10 (define @t939 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t919)) % 1.85/2.10 (define @t940 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t486 @t185)) % 1.85/2.10 (define @t941 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t591 @t668) @t921) @t919)) % 1.85/2.10 (define @t942 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t941 @t590)) % 1.85/2.10 (define @t943 () (tptp.hAPP @t591 @t185)) % 1.85/2.10 (define @t944 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t943 @t204) @t486)) % 1.85/2.10 (define @t945 () (= @t944 @t941)) % 1.85/2.10 (define @t946 () (@list @t919 @t921 @t668 @t486 @t204 @t185)) % 1.85/2.10 (define @t947 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t204 @t921)) % 1.85/2.10 (define @t948 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t943 @t921) @t919) @t944)) % 1.85/2.10 (define @t949 () (@list @t486 @t204 @t919 @t921 @t185)) % 1.85/2.10 (define @t950 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t919 @t668)) % 1.85/2.10 (define @t951 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t941)) % 1.85/2.10 (define @t952 () (@list @t919 @t921 @t668)) % 1.85/2.10 (define @t953 () (tptp.hAPP @t560 @t134)) % 1.85/2.10 (define @t954 () (tptp.class_Divides_Osemiring__div @t31)) % 1.85/2.10 (define @t955 () (tptp.c_Divides_Odiv__class_Odiv @t31 @t91 @t88)) % 1.85/2.10 (define @t956 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t955)) % 1.85/2.10 (define @t957 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t88 @t91)) % 1.85/2.10 (define @t958 () (tptp.class_Divides_Oring__div @t31)) % 1.85/2.10 (define @t959 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t36)) % 1.85/2.10 (define @t960 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t185)) % 1.85/2.10 (define @t961 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t36 @t185)) % 1.85/2.10 (define @t962 () (tptp.c_Divides_Odiv__class_Odiv @t31 @t66 @t171)) % 1.85/2.10 (define @t963 () (tptp.c_Divides_Odiv__class_Odiv @t31 @t36 @t185)) % 1.85/2.10 (define @t964 () (tptp.c_Divides_Odiv__class_Odiv @t31 @t341 @t340)) % 1.85/2.10 (define @t965 () (= @t332 @t54)) % 1.85/2.10 (define @t966 () (not @t965)) % 1.85/2.10 (define @t967 () (=> @t966 (= @t964 @t963))) % 1.85/2.10 (define @t968 () (tptp.c_Divides_Odiv__class_Odiv @t31 @t329 @t185)) % 1.85/2.10 (define @t969 () (=> @t446 (= @t968 @t36))) % 1.85/2.10 (define @t970 () (=> @t954 @t969)) % 1.85/2.10 (define @t971 () (forall @t477 @t970)) % 1.85/2.10 (define @t972 () (tptp.c_Divides_Odiv__class_Odiv @t31 @t185 @t36)) % 1.85/2.10 (define @t973 () (tptp.hAPP @t58 @t972)) % 1.85/2.10 (define @t974 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t185)) % 1.85/2.10 (define @t975 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t36 @t590)) % 1.85/2.10 (define @t976 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t171 @t66)) % 1.85/2.10 (define @t977 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t976 @t590)) % 1.85/2.10 (define @t978 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t66 @t590)) % 1.85/2.10 (define @t979 () (@list @t171 @t66)) % 1.85/2.10 (define @t980 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t66)) % 1.85/2.10 (define @t981 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t663 @t185)) % 1.85/2.10 (define @t982 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t185 @t590)) % 1.85/2.10 (define @t983 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t36 @t663)) % 1.85/2.10 (define @t984 () (@list @t185 @t663 @t36)) % 1.85/2.10 (define @t985 () (= @t961 @t590)) % 1.85/2.10 (define @t986 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t36 @t590)) % 1.85/2.10 (define @t987 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t36 @t668)) % 1.85/2.10 (define @t988 () (@list @t185 @t668 @t36)) % 1.85/2.10 (define @t989 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t961 @t590)) % 1.85/2.10 (define @t990 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t976)) % 1.85/2.10 (define @t991 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t36)) % 1.85/2.10 (define @t992 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t171)) % 1.85/2.10 (define @t993 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t881 @t95)) % 1.85/2.10 (define @t994 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t95)) % 1.85/2.10 (define @t995 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t332 @t963)) % 1.85/2.10 (define @t996 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t963 @t34)) % 1.85/2.10 (define @t997 () (not @t206)) % 1.85/2.10 (define @t998 () (tptp.hAPP @t153 @t719)) % 1.85/2.10 (define @t999 () (tptp.hBOOL @t998)) % 1.85/2.10 (define @t1000 () (= @t97 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t697 @t719) @t393))) % 1.85/2.10 (define @t1001 () (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t95 @t393) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t393 @t590) @t1000)) % 1.85/2.10 (define @t1002 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t95 @t590)) % 1.85/2.10 (define @t1003 () (tptp.hAPP @t153 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t97 @t95))) % 1.85/2.10 (define @t1004 () (@list @t95 @t97 @t153)) % 1.85/2.10 (define @t1005 () (@var "V_b_1" $$unsorted)) % 1.85/2.10 (define @t1006 () (@var "V_a_1" $$unsorted)) % 1.85/2.10 (define @t1007 () (@var "V_r_1" $$unsorted)) % 1.85/2.10 (define @t1008 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t1005)) % 1.85/2.10 (define @t1009 () (tptp.c_SMT_Oz3div @t134 @t280)) % 1.85/2.10 (define @t1010 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t280)) % 1.85/2.10 (define @t1011 () (tptp.c_Groups_Osgn__class_Osgn @t32 @t91)) % 1.85/2.10 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless @t32 @t33 @t91)) % 1.85/2.10 (define @t1013 () (= @t91 @t33)) % 1.85/2.10 (define @t1014 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t72 @t30)) % 1.85/2.10 (define @t1015 () (=> @t73 (= @t1014 @t7))) % 1.85/2.10 (define @t1016 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t391 @t390)) % 1.85/2.10 (define @t1017 () (= @t1016 @t1014)) % 1.85/2.10 (define @t1018 () (tptp.c_Divides_Odiv__class_Odiv @t32 @t91 @t88)) % 1.85/2.10 (define @t1019 () (tptp.c_Groups_Ouminus__class_Ouminus @t32 @t1018)) % 1.85/2.10 (define @t1020 () (tptp.c_Groups_Ouminus__class_Ouminus @t32 @t91)) % 1.85/2.10 (define @t1021 () (tptp.c_Groups_Ouminus__class_Ouminus @t32 @t88)) % 1.85/2.10 (define @t1022 () (= @t134 @t7)) % 1.85/2.10 (define @t1023 () (tptp.c_Groups_Osgn__class_Osgn @t31 @t91)) % 1.85/2.10 (define @t1024 () (tptp.class_RealVector_Oreal__normed__vector @t31)) % 1.85/2.10 (define @t1025 () (tptp.c_Groups_Osgn__class_Osgn @t31 @t36)) % 1.85/2.10 (define @t1026 () (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t54) @t54)) % 1.85/2.10 (define @t1027 () (tptp.class_Groups_Osgn__if @t31)) % 1.85/2.10 (define @t1028 () (tptp.c_Groups_Osgn__class_Osgn @t31 @t171)) % 1.85/2.10 (define @t1029 () (= @t1014 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t640 @t30)))) % 1.85/2.10 (define @t1030 () (=> @t310 @t1029)) % 1.85/2.10 (define @t1031 () (@list @t719 @t393)) % 1.85/2.10 (define @t1032 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t98 @t97)) % 1.85/2.10 (define @t1033 () (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t91)) % 1.85/2.10 (define @t1034 () (= @t91 @t54)) % 1.85/2.10 (define @t1035 () (tptp.hAPP @t697 @t634)) % 1.85/2.10 (define @t1036 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t95)) % 1.85/2.10 (define @t1037 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t634)) % 1.85/2.10 (define @t1038 () (@list @t95 @t153 @t634)) % 1.85/2.10 (define @t1039 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t123)) % 1.85/2.10 (define @t1040 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t123)) % 1.85/2.10 (define @t1041 () (= @t123 @t590)) % 1.85/2.10 (define @t1042 () (tptp.c_Polynomial_Opoly__gcd @t31 @t91 @t88)) % 1.85/2.10 (define @t1043 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t31 @t1042) (tptp.c_Polynomial_Odegree @t31 @t1042))) % 1.85/2.10 (define @t1044 () (and @t1013 (= @t88 @t33))) % 1.85/2.10 (define @t1045 () (not @t1044)) % 1.85/2.10 (define @t1046 () (tptp.c_Polynomial_Opoly__gcd @t31 @t65 @t64)) % 1.85/2.10 (define @t1047 () (tptp.c_Polynomial_Opoly__gcd @t31 @t36 (tptp.c_Polynomial_Opoly__gcd @t31 @t185 @t332))) % 1.85/2.10 (define @t1048 () (tptp.c_Polynomial_Opoly__gcd @t31 @t36 @t185)) % 1.85/2.10 (define @t1049 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t31 @t347) (tptp.c_Polynomial_Odegree @t31 @t347))) % 1.85/2.10 (define @t1050 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t36 @t185)) % 1.85/2.10 (define @t1051 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t959 @t185)) % 1.85/2.10 (define @t1052 () (= @t1050 @t590)) % 1.85/2.10 (define @t1053 () (not @t1052)) % 1.85/2.10 (define @t1054 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t36 @t960)) % 1.85/2.10 (define @t1055 () (tptp.c_Divides_Odiv__class_Omod @t31 @t36 @t185)) % 1.85/2.10 (define @t1056 () (@var "T_1" $$unsorted)) % 1.85/2.10 (define @t1057 () (tptp.tc_Polynomial_Opoly @t1056)) % 1.85/2.10 (define @t1058 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1056)) % 1.85/2.10 (define @t1059 () (@list @t1056)) % 1.85/2.10 (define @t1060 () (@var "T_2" $$unsorted)) % 1.85/2.10 (define @t1061 () (tptp.tc_fun @t1060 @t1056)) % 1.85/2.10 (define @t1062 () (@list @t1060 @t1056)) % 1.85/2.10 (define @t1063 () (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.85/2.10 (define @t1064 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.85/2.10 (define @t1065 () (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.85/2.10 (define @t1066 () (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.85/2.10 (define @t1067 () (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.85/2.10 (define @t1068 () (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.85/2.10 (define @t1069 () (tptp.class_Rings_Oidom @t1056)) % 1.85/2.10 (define @t1070 () (tptp.class_Rings_Olinordered__idom @t1056)) % 1.85/2.10 (define @t1071 () (tptp.class_Rings_Oring__1__no__zero__divisors @t1057)) % 1.85/2.10 (define @t1072 () (forall @t1059 (=> @t1069 @t1071))) % 1.85/2.10 (define @t1073 () (tptp.class_Rings_Ocomm__semiring__0 @t1056)) % 1.85/2.10 (define @t1074 () (tptp.class_Rings_Ocomm__semiring__1 @t1056)) % 1.85/2.10 (define @t1075 () (tptp.class_Groups_Ocomm__monoid__add @t1056)) % 1.85/2.10 (define @t1076 () (tptp.class_Divides_Osemiring__div @t1057)) % 1.85/2.10 (define @t1077 () (tptp.class_Fields_Ofield @t1056)) % 1.85/2.10 (define @t1078 () (forall @t1059 (=> @t1077 @t1076))) % 1.85/2.10 (define @t1079 () (tptp.class_Groups_Oab__group__add @t1056)) % 1.85/2.10 (define @t1080 () (tptp.class_Rings_Ocomm__ring__1 @t1056)) % 1.85/2.10 (define @t1081 () (tptp.class_Rings_Ocomm__ring @t1056)) % 1.85/2.10 (define @t1082 () (tptp.hBOOL (tptp.c_fequal @t65 @t64))) % 1.85/2.10 (define @t1083 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t11 @t14)) % 1.85/2.10 (define @t1084 () (@quantifiers_skolemize @t28 0)) % 1.85/2.10 (define @t1085 () (tptp.hAPP @t23 @t1084)) % 1.85/2.10 (define @t1086 () (= tptp.v_pa____ @t1085)) % 1.85/2.10 (define @t1087 () (not @t1086)) % 1.85/2.10 (define @t1088 () (not @t1087)) % 1.85/2.10 (define @t1089 () (@list true)) % 1.85/2.10 (define @t1090 () (= @t30 @t39)) % 1.85/2.10 (define @t1091 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t21)) % 1.85/2.10 (define @t1092 () (= @t13 @t1091)) % 1.85/2.10 (define @t1093 () (not @t1064)) % 1.85/2.10 (define @t1094 () (or @t1093 @t1092)) % 1.85/2.10 (define @t1095 () (@list false false)) % 1.85/2.10 (define @t1096 () (= @t72 @t876)) % 1.85/2.10 (define @t1097 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t14 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t11 @t14))) % 1.85/2.10 (define @t1098 () (= @t11 @t1097)) % 1.85/2.10 (define @t1099 () (or @t1083 @t1098)) % 1.85/2.10 (define @t1100 () (@list true false)) % 1.85/2.10 (define @t1101 () (= @t33 @t204)) % 1.85/2.10 (define @t1102 () (= @t33 @t119)) % 1.85/2.10 (define @t1103 () (not @t177)) % 1.85/2.10 (define @t1104 () (or @t1102 @t1101 @t926)) % 1.85/2.10 (define @t1105 () (not @t1101)) % 1.85/2.10 (define @t1106 () (=> @t1105 @t926)) % 1.85/2.10 (define @t1107 () (not @t1102)) % 1.85/2.10 (define @t1108 () (=> @t1107 @t1106)) % 1.85/2.10 (define @t1109 () (not @t183)) % 1.85/2.10 (define @t1110 () (or @t1109 @t180 @t179)) % 1.85/2.10 (define @t1111 () (not (= @t21 @t9))) % 1.85/2.10 (define @t1112 () (tptp.class_Rings_Oring__1__no__zero__divisors @t8)) % 1.85/2.10 (define @t1113 () (not @t1112)) % 1.85/2.10 (define @t1114 () (or @t1113 (= @t18 @t9) @t1111)) % 1.85/2.10 (define @t1115 () (forall @t42 @t1110)) % 1.85/2.10 (define @t1116 () (= @t9 @t21)) % 1.85/2.10 (define @t1117 () (not @t1116)) % 1.85/2.10 (define @t1118 () (= @t9 @t18)) % 1.85/2.10 (define @t1119 () (or @t1113 @t1118 @t1117)) % 1.85/2.10 (define @t1120 () (@list false)) % 1.85/2.10 (define @t1121 () (= (= @t33 @t173) (and @t522 (= @t33 @t169)))) % 1.85/2.10 (define @t1122 () (= @t9 @t16)) % 1.85/2.10 (define @t1123 () (and (= @t80 @t17) @t1122)) % 1.85/2.10 (define @t1124 () (= @t1118 @t1123)) % 1.85/2.10 (define @t1125 () (not @t1067)) % 1.85/2.10 (define @t1126 () (or @t1125 @t1124)) % 1.85/2.10 (define @t1127 () (forall @t218 (or (not @t62) @t1121))) % 1.85/2.10 (define @t1128 () (and (= @t17 @t80) @t1122)) % 1.85/2.10 (define @t1129 () (= @t1118 @t1128)) % 1.85/2.10 (define @t1130 () (or @t1125 @t1129)) % 1.85/2.10 (define @t1131 () (@list @t1127)) % 1.85/2.10 (define @t1132 () (= @t15 @t80)) % 1.85/2.10 (define @t1133 () (and (= @t80 @t15) (= @t9 @t9))) % 1.85/2.10 (define @t1134 () (= @t1122 @t1133)) % 1.85/2.10 (define @t1135 () (or @t1125 @t1134)) % 1.85/2.10 (define @t1136 () (= @t1122 @t1132)) % 1.85/2.10 (define @t1137 () (or @t1125 @t1136)) % 1.85/2.10 (define @t1138 () (@list tptp.tc_Complex_Ocomplex)) % 1.85/2.10 (define @t1139 () (not @t1132)) % 1.85/2.10 (define @t1140 () (not @t1065)) % 1.85/2.10 (define @t1141 () (or @t1140 @t1139)) % 1.85/2.10 (define @t1142 () (not @t1122)) % 1.85/2.10 (define @t1143 () (not @t1128)) % 1.85/2.10 (define @t1144 () (not @t1118)) % 1.85/2.10 (define @t1145 () (not @t1068)) % 1.85/2.10 (define @t1146 () (or @t1145 @t1112)) % 1.85/2.10 (define @t1147 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1091 @t11)) % 1.85/2.10 (define @t1148 () (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t24) @t1147)) % 1.85/2.10 (define @t1149 () (= @t9 tptp.v_s____)) % 1.85/2.10 (define @t1150 () (or @t1145 @t1116 @t1149 @t1148)) % 1.85/2.10 (define @t1151 () (= @t36 @t968)) % 1.85/2.10 (define @t1152 () (= @t54 @t185)) % 1.85/2.10 (define @t1153 () (not @t954)) % 1.85/2.10 (define @t1154 () (not @t1152)) % 1.85/2.10 (define @t1155 () (=> @t1154 @t1151)) % 1.85/2.10 (define @t1156 () (tptp.class_Divides_Osemiring__div @t8)) % 1.85/2.10 (define @t1157 () (not @t1066)) % 1.85/2.10 (define @t1158 () (or @t1157 @t1156)) % 1.85/2.10 (define @t1159 () (tptp.c_Divides_Odiv__class_Odiv @t8 @t24 @t21)) % 1.85/2.10 (define @t1160 () (= tptp.v_s____ @t1159)) % 1.85/2.10 (define @t1161 () (not @t1156)) % 1.85/2.10 (define @t1162 () (or @t1161 @t1116 @t1160)) % 1.85/2.10 (define @t1163 () (@list true false false)) % 1.85/2.10 (define @t1164 () (= @t1084 (tptp.c_Divides_Odiv__class_Odiv @t8 @t1085 @t21))) % 1.85/2.10 (define @t1165 () (or @t1161 @t1116 @t1164)) % 1.85/2.10 (define @t1166 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t1084)) % 1.85/2.10 (define @t1167 () (not @t530)) % 1.85/2.10 (define @t1168 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14 @t11)) % 1.85/2.10 (define @t1169 () (not @t1063)) % 1.85/2.10 (define @t1170 () (or @t1169 @t1168 @t1083)) % 1.85/2.10 (define @t1171 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t11)) % 1.85/2.10 (define @t1172 () (= @t7 @t1171)) % 1.85/2.10 (define @t1173 () (= @t1168 @t1172)) % 1.85/2.10 (define @t1174 () (not @t1172)) % 1.85/2.10 (define @t1175 () (= @t1091 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1091 @t1166) @t1166))) % 1.85/2.10 (define @t1176 () (not @t1175)) % 1.85/2.10 (define @t1177 () (not @t1164)) % 1.85/2.10 (define @t1178 () (not @t1160)) % 1.85/2.10 (define @t1179 () (not @t1148)) % 1.85/2.10 (define @t1180 () (not @t1098)) % 1.85/2.10 (define @t1181 () (not @t1092)) % 1.85/2.10 (define @t1182 () (= @t7 @t13)) % 1.85/2.10 (define @t1183 () (not @t25)) % 1.85/2.10 (define @t1184 () (not @t1182)) % 1.85/2.10 (define @t1185 () (and @t25 @t1184 @t1086 @t1092 @t1098 @t1148 @t1160 @t1164 @t1175)) % 1.85/2.10 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.85/2.10 (assume @p2 (not (= tptp.v_n @t7))) % 1.85/2.10 (assume @p3 (not (= tptp.v_na____ @t7))) % 1.85/2.10 (assume @p4 (not @t10)) % 1.85/2.10 (assume @p5 (not @t12)) % 1.85/2.10 (assume @p6 (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_p) tptp.v_n)) % 1.85/2.10 (assume @p7 (not (= @t13 @t7))) % 1.85/2.10 (assume @p8 (not (= tptp.v_pa____ @t9))) % 1.85/2.10 (assume @p9 (not (= tptp.v_s____ @t9))) % 1.85/2.10 (assume @p10 (= @t14 tptp.v_na____)) % 1.85/2.10 (assume @p11 @t25) % 1.85/2.10 (assume @p12 (= tptp.v_qa____ (tptp.hAPP @t26 tptp.v_r____))) % 1.85/2.10 (assume @p13 @t29) % 1.85/2.10 (assume @p14 (tptp.c_Rings_Odvd__class_Odvd @t8 @t21 tptp.v_pa____)) % 1.85/2.10 (assume @p15 @t43) % 1.85/2.10 (assume @p16 (forall @t44 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t7)))) % 1.85/2.10 (assume @p17 (forall @t42 (=> @t50 (=> @t49 (=> @t48 (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t47)))))) % 1.85/2.10 (assume @p18 (forall @t57 (=> @t50 (=> @t56 (=> @t55 (=> @t53 (tptp.c_Orderings_Oord__class_Oless @t31 @t52 @t47))))))) % 1.85/2.10 (assume @p19 (forall @t42 (=> @t50 (=> @t55 (=> @t53 (tptp.c_Orderings_Oord__class_Oless @t31 @t60 @t47)))))) % 1.85/2.10 (assume @p20 (forall @t63 (=> @t62 (= (tptp.c_Polynomial_Odegree @t31 @t61) @t7)))) % 1.85/2.10 (assume @p21 (forall @t71 (=> @t50 (=> @t70 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t69 @t68) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t64)))))) % 1.85/2.10 (assume @p22 (forall @t75 (=> @t50 (=> @t49 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t74 @t47) @t73))))) % 1.85/2.10 (assume @p23 (forall @t57 (=> @t50 (=> @t56 (=> @t49 (tptp.c_Orderings_Oord__class_Oless @t31 @t47 @t52)))))) % 1.85/2.10 (assume @p24 (forall @t42 (=> @t78 (= (tptp.hAPP (tptp.hAPP @t45 @t77) @t30) (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP (tptp.hAPP @t45 @t76) @t30)) @t47))))) % 1.85/2.10 (assume @p25 (=> @t10 @t79)) % 1.85/2.10 (assume @p26 (tptp.c_Rings_Odvd__class_Odvd @t8 @t18 tptp.v_qa____)) % 1.85/2.10 (assume @p27 (=> @t12 @t79)) % 1.85/2.10 (assume @p28 (= (tptp.hAPP @t81 tptp.v_a____) @t80)) % 1.85/2.10 (assume @p29 (forall @t6 (=> (= (tptp.hAPP @t81 @t3) @t80) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_qa____) @t3) @t80)))) % 1.85/2.10 (assume @p30 (forall @t87 (=> (= @t72 @t86) (or (= @t30 @t83) @t82)))) % 1.85/2.10 (assume @p31 (forall (@list @t30 @t88 @t91 @t31) (=> @t40 (=> @t94 (tptp.c_Rings_Odvd__class_Odvd @t31 @t93 @t90))))) % 1.85/2.10 (assume @p32 (forall @t105 (= (= @t104 @t102) @t100))) % 1.85/2.10 (assume @p33 (forall @t110 (= @t109 @t100))) % 1.85/2.10 (assume @p34 (forall @t114 (= (= @t113 @t7) (or @t112 @t111)))) % 1.85/2.10 (assume @p35 (forall @t115 (= (tptp.hAPP @t85 @t7) @t7))) % 1.85/2.10 (assume @p36 (forall @t44 (= (tptp.hAPP (tptp.hAPP @t84 @t7) @t30) @t7))) % 1.85/2.10 (assume @p37 (forall @t75 (=> @t116 (= (tptp.hAPP @t46 @t86) (tptp.hAPP (tptp.hAPP @t45 @t74) @t30))))) % 1.85/2.10 (assume @p38 (forall @t63 (=> @t116 (= (tptp.hAPP @t46 @t83) @t36)))) % 1.85/2.10 (assume @p39 (forall @t118 (=> @t117 (= (tptp.c_Groups_Ouminus__class_Ouminus @t32 @t33) @t33)))) % 1.85/2.10 (assume @p40 (forall @t122 (=> @t117 (= (tptp.c_Polynomial_Odegree @t31 @t121) @t120)))) % 1.85/2.10 (assume @p41 (forall @t128 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t123) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t127 @t126) @t73)))) % 1.85/2.10 (assume @p42 (forall @t132 (= @t131 (or @t129 @t111)))) % 1.85/2.10 (assume @p43 (forall @t140 (=> @t139 (=> @t138 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t137 @t136))))) % 1.85/2.10 (assume @p44 (forall @t140 (=> @t139 (=> @t138 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t144 @t142))))) % 1.85/2.10 (assume @p45 (forall @t105 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t104 @t102) @t147))) % 1.85/2.10 (assume @p46 (forall @t110 (= @t148 @t147))) % 1.85/2.10 (assume @p47 (forall @t114 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t113) (and @t150 @t149)))) % 1.85/2.10 (assume @p48 (forall @t118 (=> @t40 (= (tptp.c_Polynomial_Odegree @t31 @t151) @t7)))) % 1.85/2.10 (assume @p49 (forall @t152 (=> @t40 (=> (or @t48 (= @t91 @t34)) (tptp.c_Rings_Odvd__class_Odvd @t31 @t91 @t93))))) % 1.85/2.10 (assume @p50 (forall (@list @t153 @t97 @t98) (=> (=> @t145 @t155) (=> (=> @t99 @t155) (=> (=> @t156 @t155) @t155))))) % 1.85/2.10 (assume @p51 (forall (@list @t157 @t158) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t158 @t157) (not (= @t158 @t157))))) % 1.85/2.10 (assume @p52 (forall @t162 (=> @t161 @t160))) % 1.85/2.10 (assume @p53 (forall @t44 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t30)))) % 1.85/2.10 (assume @p54 (forall @t166 (=> @t165 (=> (not @t163) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t88 @t91))))) % 1.85/2.10 (assume @p55 (forall @t114 (= @t167 (or @t145 @t156)))) % 1.85/2.10 (assume @p56 (forall (@list @t168 @t66 @t169 @t171 @t31) (=> @t62 (= (= @t173 (tptp.c_Polynomial_OpCons @t31 @t66 @t168)) (and @t172 @t170))))) % 1.85/2.10 (assume @p57 (forall @t178 (=> @t177 @t176))) % 1.85/2.10 (assume @p58 @t184) % 1.85/2.10 (assume @p59 (forall @t191 (=> @t190 (= (tptp.hAPP (tptp.hAPP @t45 @t189) @t30) (tptp.hAPP @t188 @t187))))) % 1.85/2.10 (assume @p60 (forall @t42 (=> @t116 (= @t192 @t60)))) % 1.85/2.10 (assume @p61 (forall @t193 (=> @t116 (= (tptp.hAPP (tptp.hAPP @t45 @t34) @t30) @t34)))) % 1.85/2.10 (assume @p62 (forall @t44 (=> @t195 @t48))) % 1.85/2.10 (assume @p63 (forall @t87 (=> @t73 @t195))) % 1.85/2.10 (assume @p64 (forall @t197 (= @t196 @t149))) % 1.85/2.10 (assume @p65 (forall (@list @t119 @t36 @t198) (=> (tptp.class_Groups_Oab__group__add @t198) (= (tptp.c_Groups_Ouminus__class_Ouminus @t199 (tptp.c_Polynomial_OpCons @t198 @t36 @t119)) (tptp.c_Polynomial_OpCons @t198 (tptp.c_Groups_Ouminus__class_Ouminus @t198 @t36) (tptp.c_Groups_Ouminus__class_Ouminus @t199 @t119)))))) % 1.85/2.10 (assume @p66 (forall @t178 (=> @t117 (= (tptp.c_Groups_Ouminus__class_Ouminus @t32 @t200) (tptp.c_Polynomial_OpCons @t31 @t77 @t121))))) % 1.85/2.10 (assume @p67 (forall @t122 (=> @t203 (= (tptp.hAPP @t202 @t33) @t33)))) % 1.85/2.10 (assume @p68 (forall @t205 (=> @t203 (= (tptp.hAPP (tptp.hAPP @t201 @t33) @t204) @t33)))) % 1.85/2.10 (assume @p69 (forall @t42 (=> @t50 (=> @t55 (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t47))))) % 1.85/2.10 (assume @p70 (forall @t213 (=> (and @t212 @t211 @t210 @t209) (= (= @t208 @t54) (and @t206 @t196))))) % 1.85/2.10 (assume @p71 (forall (@list @t97 @t98 @t171 @t31) (=> @t50 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t171) (= (= (tptp.hAPP @t207 @t98) @t208) @t99))))) % 1.85/2.10 (assume @p72 (forall @t63 (=> @t212 (= (tptp.hAPP @t46 @t7) @t34)))) % 1.85/2.10 (assume @p73 @t219) % 1.85/2.10 (assume @p74 (forall @t118 (=> @t62 (= (tptp.c_Polynomial_OpCons @t31 @t54 @t33) @t33)))) % 1.85/2.10 (assume @p75 (forall @t118 (=> @t40 (= @t151 @t35)))) % 1.85/2.10 (assume @p76 (forall @t118 (=> @t62 (= (tptp.c_Polynomial_Odegree @t31 @t33) @t7)))) % 1.85/2.10 (assume @p77 (forall @t42 (=> @t50 (=> @t49 (tptp.c_Orderings_Oord__class_Oless @t31 @t47 @t60))))) % 1.85/2.10 (assume @p78 (forall @t42 (=> @t50 (=> @t49 (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t60))))) % 1.85/2.10 (assume @p79 (forall @t193 (=> @t223 (and (=> @t194 (= @t221 @t34)) (=> @t195 (= @t221 @t54)))))) % 1.85/2.10 (assume @p80 (not (forall (@list @t224) (not (= tptp.v_qa____ (tptp.hAPP @t26 @t224)))))) % 1.85/2.10 (assume @p81 (forall @t6 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p) @t3) @t80) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q) @t3) @t80)))) % 1.85/2.10 (assume @p82 (not (tptp.c_Rings_Odvd__class_Odvd @t8 (tptp.hAPP @t20 (tptp.c_Nat_OSuc @t13)) tptp.v_pa____))) % 1.85/2.10 (assume @p83 (forall @t63 (=> @t40 (tptp.c_Rings_Odvd__class_Odvd @t31 @t36 @t54)))) % 1.85/2.10 (assume @p84 (forall @t225 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Oorder tptp.tc_Complex_Ocomplex @t36 tptp.v_pa____) tptp.v_na____))) % 1.85/2.10 (assume @p85 (forall @t229 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t226 tptp.v_na____) (forall (@list @t228 @t227) (=> (forall @t6 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t228) @t3) @t80) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t227) @t3) @t80))) (=> (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t228) @t226) (=> (not (= @t226 @t7)) (tptp.c_Rings_Odvd__class_Odvd @t8 @t228 (tptp.hAPP (tptp.hAPP @t19 @t227) @t226))))))))) % 1.85/2.10 (assume @p86 (forall @t230 (=> @t40 (= (tptp.hAPP @t92 @t7) @t34)))) % 1.85/2.10 (assume @p87 (forall @t234 (=> @t183 (= (= @t233 @t34) (or @t231 (= @t65 @t76)))))) % 1.85/2.10 (assume @p88 (forall @t230 (=> @t236 (= @t235 (tptp.hAPP (tptp.hAPP @t58 @t76) @t91))))) % 1.85/2.10 (assume @p89 (forall @t244 (=> @t177 (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t243 @t242) @t240)))) % 1.85/2.10 (assume @p90 (forall @t249 (=> @t177 (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t248 @t246) @t240)))) % 1.85/2.10 (assume @p91 (forall (@list @t134) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t250 @t134))) % 1.85/2.10 (assume @p92 (forall @t44 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t251))) % 1.85/2.10 (assume @p93 (forall @t87 (=> @t73 @t253))) % 1.85/2.10 (assume @p94 (forall @t44 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7 @t30))) % 1.85/2.10 (assume @p95 (forall @t44 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t251))) % 1.85/2.10 (assume @p96 (forall @t44 (not (= @t30 @t251)))) % 1.85/2.10 (assume @p97 (forall @t44 (not (= @t251 @t30)))) % 1.85/2.10 (assume @p98 (forall @t44 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t251 @t30)))) % 1.85/2.10 (assume @p99 (forall @t44 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t30 @t30))) % 1.85/2.10 (assume @p100 (forall @t115 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t72 @t254))) % 1.85/2.10 (assume @p101 (forall @t115 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t72 (tptp.hAPP @t85 @t254)))) % 1.85/2.10 (assume @p102 (forall @t114 (= (not @t257) @t256))) % 1.85/2.10 (assume @p103 (forall @t44 (= (tptp.hAPP (tptp.hAPP @t84 @t83) @t30) @t30))) % 1.85/2.10 (assume @p104 (forall @t114 (= (= @t83 @t113) @t260))) % 1.85/2.10 (assume @p105 (forall @t44 (= (tptp.hAPP @t261 @t83) @t30))) % 1.85/2.10 (assume @p106 (forall @t262 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t98 @t83) @t259))) % 1.85/2.10 (assume @p107 (forall @t87 (= @t86 @t263))) % 1.85/2.10 (assume @p108 (forall @t87 (or @t265 @t264))) % 1.85/2.10 (assume @p109 (forall @t114 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t255) (or @t257 (= @t98 @t255))))) % 1.85/2.10 (assume @p110 (forall (@list @t266 @t267) (= (= (tptp.c_Nat_OSuc @t267) (tptp.c_Nat_OSuc @t266)) (= @t267 @t266)))) % 1.85/2.10 (assume @p111 (forall @t270 (=> @t269 (= (= @t268 (tptp.c_Polynomial_Opoly @t31 @t168)) @t170)))) % 1.85/2.10 (assume @p112 (forall @t272 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t255 @t271) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t98)))) % 1.85/2.10 (assume @p113 (forall @t114 (= (= @t113 @t83) @t260))) % 1.85/2.10 (assume @p114 (forall @t274 (= (tptp.hAPP (tptp.hAPP @t84 @t86) @t134) (tptp.hAPP @t85 @t273)))) % 1.85/2.10 (assume @p115 (forall @t110 (= (= @t277 @t276) @t99))) % 1.85/2.10 (assume @p116 (forall @t110 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t277 @t276) @t257))) % 1.85/2.10 (assume @p117 (forall @t87 (=> @t159 @t265))) % 1.85/2.10 (assume @p118 (forall @t87 (=> @t265 @t278))) % 1.85/2.10 (assume @p119 (forall @t140 (=> @t279 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t144 @t142)))) % 1.85/2.10 (assume @p120 (forall @t140 (=> @t279 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t137 @t136)))) % 1.85/2.10 (assume @p121 (forall @t140 (=> @t279 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t133 @t134) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t123 @t134))))) % 1.85/2.10 (assume @p122 (forall @t87 (=> @t265 (=> @t264 @t159)))) % 1.85/2.10 (assume @p123 (forall @t282 (=> @t279 (=> @t281 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t144 (tptp.hAPP @t141 @t280)))))) % 1.85/2.10 (assume @p124 (forall @t87 (=> @t278 (=> (not @t265) (= @t72 @t251))))) % 1.85/2.10 (assume @p125 (forall @t87 (=> @t283 @t265))) % 1.85/2.10 (assume @p126 (forall @t166 (=> (= (tptp.c_Nat_OSuc @t91) (tptp.c_Nat_OSuc @t88)) @t164))) % 1.85/2.10 (assume @p127 (forall @t262 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t98 @t250) @t284))) % 1.85/2.10 (assume @p128 (forall @t285 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t250 @t123) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t250 @t126)))) % 1.85/2.10 (assume @p129 (forall @t114 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t250 @t113) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t250 @t98) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t250 @t97))))) % 1.85/2.10 (assume @p130 (forall @t128 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t127 @t126) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t83 @t123) @t265)))) % 1.85/2.10 (assume @p131 (forall @t87 (=> @t283 @t73))) % 1.85/2.10 (assume @p132 (forall @t114 (=> @t257 @t287))) % 1.85/2.10 (assume @p133 (forall @t87 (=> @t73 @t283))) % 1.85/2.10 (assume @p134 (forall @t87 (=> @t265 @t288))) % 1.85/2.10 (assume @p135 (forall @t114 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t271 @t97) @t145))) % 1.85/2.10 (assume @p136 (forall @t114 (= @t289 @t257))) % 1.85/2.10 (assume @p137 (forall @t272 (= @t156 @t256))) % 1.85/2.10 (assume @p138 (forall @t294 (=> @t50 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t293 @t292) (=> @t291 @t290))))) % 1.85/2.10 (assume @p139 (forall @t294 (=> @t50 (=> (= @t293 @t292) (=> @t296 (=> @t291 @t295)))))) % 1.85/2.10 (assume @p140 (forall (@list @t30 @t134) (=> @t298 (=> @t48 @t297)))) % 1.85/2.10 (assume @p141 (forall @t57 (=> @t50 (=> @t300 (=> @t299 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t47 @t52)))))) % 1.85/2.10 (assume @p142 (forall @t178 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t302 @t301)))) % 1.85/2.10 (assume @p143 (forall @t115 (not (= @t7 @t252)))) % 1.85/2.10 (assume @p144 (forall (@list @t303) (not (= @t7 (tptp.c_Nat_OSuc @t303))))) % 1.85/2.10 (assume @p145 (forall @t115 (not (= @t252 @t7)))) % 1.85/2.10 (assume @p146 (forall (@list @t304) (not (= (tptp.c_Nat_OSuc @t304) @t7)))) % 1.85/2.10 (assume @p147 (forall @t114 (= (= @t113 @t250) (and @t284 @t305)))) % 1.85/2.10 (assume @p148 (forall (@list @t98 @t65) (= (= (tptp.hAPP @t130 @t98) @t250) (or @t112 (= @t65 @t250))))) % 1.85/2.10 (assume @p149 (forall @t44 (= (tptp.hAPP (tptp.hAPP @t124 @t250) @t30) @t250))) % 1.85/2.10 (assume @p150 (= @t83 @t250)) % 1.85/2.10 (assume @p151 (forall @t114 (= (not @t145) @t286))) % 1.85/2.10 (assume @p152 (forall @t114 (= @t289 @t306))) % 1.85/2.10 (assume @p153 (forall @t114 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t271 @t255) @t145))) % 1.85/2.10 (assume @p154 (forall @t272 (=> (not @t156) @t287))) % 1.85/2.10 (assume @p155 (forall @t162 (=> (not @t161) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t252) @t159)))) % 1.85/2.10 (assume @p156 (forall @t87 (=> @t73 @t288))) % 1.85/2.10 (assume @p157 (forall @t87 (=> @t73 (=> (not (= @t252 @t30)) @t307)))) % 1.85/2.10 (assume @p158 (forall @t140 (=> @t139 (=> @t309 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t308 @t134))))) % 1.85/2.10 (assume @p159 (forall @t87 (=> @t288 (=> @t310 @t159)))) % 1.85/2.10 (assume @p160 (forall @t87 (=> @t307 @t73))) % 1.85/2.10 (assume @p161 (forall @t87 (=> @t253 @t73))) % 1.85/2.10 (assume @p162 (forall @t110 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t277 @t276) @t145))) % 1.85/2.10 (assume @p163 (forall @t197 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t7) @t111))) % 1.85/2.10 (assume @p164 (forall @t114 (= @t145 (and @t257 @t167)))) % 1.85/2.10 (assume @p165 (forall @t114 (= @t257 @t306))) % 1.85/2.10 (assume @p166 (forall @t87 (=> @t73 @t265))) % 1.85/2.10 (assume @p167 (forall @t87 (=> @t265 (=> @t160 @t73)))) % 1.85/2.10 (assume @p168 (forall @t87 (=> (or @t73 @t159) @t265))) % 1.85/2.10 (assume @p169 (forall @t230 (=> @t40 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t151) @t91) @t34)))) % 1.85/2.10 (assume @p170 (forall (@list @t91 @t119 @t31) (=> @t313 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t121) @t91) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t312))))) % 1.85/2.10 (assume @p171 (forall @t63 (=> @t315 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t314)))) % 1.85/2.10 (assume @p172 (forall @t322 (=> @t321 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t320) (or (and @t319 @t318) (and @t317 @t316)))))) % 1.85/2.10 (assume @p173 (forall @t322 (=> @t321 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t320 @t54) (or (and @t319 @t316) (and @t317 @t318)))))) % 1.85/2.10 (assume @p174 (forall @t325 (=> @t324 (=> @t296 (=> @t291 @t323))))) % 1.85/2.10 (assume @p175 (forall @t325 (=> @t324 (=> @t296 (=> @t327 @t326))))) % 1.85/2.10 (assume @p176 (forall @t325 (=> @t324 (=> @t296 (=> @t327 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t329 @t54)))))) % 1.85/2.10 (assume @p177 (forall @t325 (=> @t324 (=> @t330 (=> @t291 @t326))))) % 1.85/2.10 (assume @p178 (forall @t325 (=> @t331 (=> @t330 (=> @t327 @t323))))) % 1.85/2.10 (assume @p179 (forall @t338 (=> @t337 (=> @t290 (=> @t336 @t335))))) % 1.85/2.10 (assume @p180 (forall @t338 (=> @t337 @t343))) % 1.85/2.10 (assume @p181 (forall @t338 (=> (tptp.class_Rings_Oordered__comm__semiring @t31) @t343))) % 1.85/2.10 (assume @p182 (forall @t346 (=> @t331 (=> @t345 (=> @t344 @t335))))) % 1.85/2.10 (assume @p183 (forall @t346 (=> @t331 (=> @t345 (=> @t344 @t342))))) % 1.85/2.10 (assume @p184 (forall @t351 (=> @t337 (=> @t290 (=> @t350 (=> @t296 @t349)))))) % 1.85/2.10 (assume @p185 (forall @t351 (=> @t337 (=> @t290 (=> @t350 (=> @t291 @t349)))))) % 1.85/2.10 (assume @p186 (forall @t325 (=> @t331 (=> (or (and @t296 @t291) (and @t330 @t327)) @t323)))) % 1.85/2.10 (assume @p187 (forall @t325 (=> @t324 (=> (or (and @t296 @t327) (and @t330 @t291)) @t326)))) % 1.85/2.10 (assume @p188 (forall @t118 (=> @t50 (not (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t34 @t54))))) % 1.85/2.10 (assume @p189 (forall @t118 (=> @t50 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t34)))) % 1.85/2.10 (assume @p190 (forall @t356 (=> @t40 (= @t355 @t354)))) % 1.85/2.10 (assume @p191 (forall @t356 (=> @t40 (= @t354 @t355)))) % 1.85/2.10 (assume @p192 (forall @t356 (=> @t40 (= (tptp.hAPP @t357 @t91) @t355)))) % 1.85/2.10 (assume @p193 (forall @t359 (=> @t269 (= (= @t268 @t358) @t214)))) % 1.85/2.10 (assume @p194 (forall @t57 (=> @t50 (=> @t300 (=> @t296 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t36 @t34) (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t52 @t47))))))) % 1.85/2.10 (assume @p195 (forall @t71 (=> @t50 (=> @t70 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t69 @t68) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t65 @t64)))))) % 1.85/2.10 (assume @p196 (forall @t75 (=> @t50 (=> @t49 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t74 @t47) @t265))))) % 1.85/2.10 (assume @p197 (forall @t244 (=> @t321 (=> @t362 (= @t361 @t360))))) % 1.85/2.10 (assume @p198 (forall @t244 (=> @t321 (=> @t363 (= @t361 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t66 @t171)))))) % 1.85/2.10 (assume @p199 (forall @t351 (=> @t369 (=> @t368 (=> @t367 (=> @t366 @t365)))))) % 1.85/2.10 (assume @p200 (forall @t351 (=> @t369 (=> @t368 (=> @t367 (=> @t296 @t365)))))) % 1.85/2.10 (assume @p201 (forall @t351 (=> @t369 (=> @t368 (=> @t350 (=> @t296 (=> @t370 @t364))))))) % 1.85/2.10 (assume @p202 (forall @t351 (=> @t369 (=> @t290 (=> @t367 (=> @t55 @t365)))))) % 1.85/2.10 (assume @p203 (forall @t375 (=> @t374 @t373))) % 1.85/2.10 (assume @p204 (forall @t375 (=> @t369 @t373))) % 1.85/2.10 (assume @p205 (forall @t378 (=> @t374 @t377))) % 1.85/2.10 (assume @p206 (forall @t378 (=> @t369 @t377))) % 1.85/2.10 (assume @p207 (forall @t375 (=> @t369 (=> @t335 @t379)))) % 1.85/2.10 (assume @p208 (forall @t378 (=> @t369 (=> @t342 @t379)))) % 1.85/2.10 (assume @p209 (forall @t385 (=> @t384 (=> @t383 (=> @t382 (=> @t381 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t380 @t91))))))) % 1.85/2.10 (assume @p210 (forall @t385 (=> @t384 (=> @t383 (=> @t382 (=> @t381 (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.hAPP @t386 @t91) @t91))))))) % 1.85/2.10 (assume @p211 (forall @t193 (=> @t223 (= (tptp.hAPP @t220 @t251) @t54)))) % 1.85/2.10 (assume @p212 (forall @t42 (=> @t212 (= @t293 @t60)))) % 1.85/2.10 (assume @p213 (forall @t42 (=> @t116 (= @t293 @t192)))) % 1.85/2.10 (assume @p214 (forall @t87 (=> @t388 (=> @t73 (not @t387))))) % 1.85/2.10 (assume @p215 (forall @t392 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t391 @t390) (=> @t138 @t389)))) % 1.85/2.10 (assume @p216 (forall @t114 (=> @t150 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t113 @t98) @t258)))) % 1.85/2.10 (assume @p217 (forall @t114 (=> @t150 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t101 @t98) @t98) @t258)))) % 1.85/2.10 (assume @p218 (forall @t42 (=> @t50 (=> @t296 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t47))))) % 1.85/2.10 (assume @p219 (forall @t191 (=> @t50 (=> @t290 (=> @t296 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t47 @t187)))))) % 1.85/2.10 (assume @p220 (forall @t197 (= @t149 (exists @t229 (= @t97 (tptp.c_Nat_OSuc @t226)))))) % 1.85/2.10 (assume @p221 (forall @t197 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t97 @t250) @t111))) % 1.85/2.10 (assume @p222 (forall @t114 (= @t289 (or @t112 (exists @t394 (and (= @t98 (tptp.c_Nat_OSuc @t393)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t393 @t97))))))) % 1.85/2.10 (assume @p223 (forall @t162 (=> @t396 (=> @t395 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t86))))) % 1.85/2.10 (assume @p224 (forall @t162 (=> @t396 (=> @t395 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t263))))) % 1.85/2.10 (assume @p225 (forall @t162 (=> @t396 (=> @t395 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t250 @t86))))) % 1.85/2.10 (assume @p226 (forall @t42 (=> @t50 (=> @t299 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t34 @t47))))) % 1.85/2.10 (assume @p227 (forall @t110 (= @t398 @t397))) % 1.85/2.10 (assume @p228 (forall @t105 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t104 @t102) @t397))) % 1.85/2.10 (assume @p229 (forall (@list @t72 @t185 @t30 @t36 @t31) (=> @t40 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t47 @t185) (=> @t265 (tptp.c_Rings_Odvd__class_Odvd @t31 @t74 @t185)))))) % 1.85/2.10 (assume @p230 (forall (@list @t72 @t30 @t88 @t91 @t31) (=> @t40 (=> @t94 (=> @t264 (tptp.c_Rings_Odvd__class_Odvd @t31 @t93 (tptp.hAPP @t89 @t72))))))) % 1.85/2.10 (assume @p231 (forall @t399 (=> @t40 (=> @t265 (tptp.c_Rings_Odvd__class_Odvd @t31 @t74 @t47))))) % 1.85/2.10 (assume @p232 (forall @t230 (=> @t203 (= (tptp.hAPP @t358 @t91) @t54)))) % 1.85/2.10 (assume @p233 (forall @t402 (=> @t203 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t401) @t91) (tptp.hAPP (tptp.hAPP @t58 @t312) @t400))))) % 1.85/2.10 (assume @p234 (forall @t405 (=> @t40 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t31 @t404) (tptp.hAPP @t403 @t30))))) % 1.85/2.10 (assume @p235 (forall (@list @t91 @t30 @t119 @t31) (=> @t40 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t404) @t91) (tptp.hAPP (tptp.hAPP @t45 @t312) @t30))))) % 1.85/2.10 (assume @p236 (forall @t42 (=> @t50 (=> @t49 (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t293))))) % 1.85/2.10 (assume @p237 (forall @t294 (=> @t50 (=> @t406 (=> @t291 @t368))))) % 1.85/2.10 (assume @p238 (forall @t385 (=> @t384 @t410))) % 1.85/2.10 (assume @p239 (forall @t325 (=> @t40 (= @t189 @t329)))) % 1.85/2.10 (assume @p240 (forall @t418 (=> @t40 (= @t417 (tptp.hAPP @t415 (tptp.hAPP @t413 @t411)))))) % 1.85/2.10 (assume @p241 (forall @t418 (=> @t40 (= @t417 (tptp.hAPP @t419 @t411))))) % 1.85/2.10 (assume @p242 (forall @t424 (=> @t40 (= @t423 (tptp.hAPP @t413 (tptp.hAPP @t421 @t414)))))) % 1.85/2.10 (assume @p243 (forall @t424 (=> @t40 (= @t423 (tptp.hAPP @t419 @t420))))) % 1.85/2.10 (assume @p244 (forall @t426 (=> @t40 (= @t425 (tptp.hAPP @t413 (tptp.hAPP @t421 @t416)))))) % 1.85/2.10 (assume @p245 (forall @t426 (=> @t40 (= @t425 (tptp.hAPP @t415 (tptp.hAPP @t422 @t411)))))) % 1.85/2.10 (assume @p246 (forall @t426 (=> @t40 (= @t425 (tptp.hAPP @t419 (tptp.hAPP @t421 @t411)))))) % 1.85/2.10 (assume @p247 (forall @t430 (=> @t62 @t429))) % 1.85/2.10 (assume @p248 (forall @t338 (=> @t40 (=> @t433 (=> @t432 @t431))))) % 1.85/2.10 (assume @p249 (forall @t63 (=> @t40 (tptp.c_Rings_Odvd__class_Odvd @t31 @t36 @t36)))) % 1.85/2.10 (assume @p250 (forall @t230 (=> @t40 (= (tptp.hAPP @t92 @t83) @t91)))) % 1.85/2.10 (assume @p251 (forall @t436 (=> @t40 (= (tptp.hAPP (tptp.hAPP @t45 @t435) @t204) (tptp.hAPP @t92 (tptp.hAPP @t434 @t204)))))) % 1.85/2.10 (assume @p252 (forall @t440 (=> @t177 (=> @t439 (=> @t438 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t120 @t437)))))) % 1.85/2.10 (assume @p253 (forall @t430 (=> @t177 (=> @t428 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t174 @t120))))) % 1.85/2.10 (assume @p254 (forall @t42 (=> @t50 (=> @t55 (=> @t53 (tptp.c_Orderings_Oord__class_Oless @t31 @t293 @t34)))))) % 1.85/2.10 (assume @p255 (forall @t294 (=> @t50 (=> (= @t47 @t187) (=> @t296 (=> @t291 (=> @t48 @t295))))))) % 1.85/2.10 (assume @p256 (forall @t430 (=> @t62 (and (=> @t427 (= @t302 @t7)) @t429)))) % 1.85/2.10 (assume @p257 (forall (@list @t171 @t169 @t31) (=> @t177 (= (= (tptp.hAPP @t268 @t171) @t54) (or @t214 (not (= (tptp.c_Polynomial_Oorder @t31 @t171 @t169) @t7))))))) % 1.85/2.10 (assume @p258 (forall @t191 (=> @t50 (=> @t368 (=> @t296 (=> @t48 @t406)))))) % 1.85/2.10 (assume @p259 (forall @t63 (=> @t211 @t442))) % 1.85/2.10 (assume @p260 (forall @t63 (=> @t40 @t442))) % 1.85/2.10 (assume @p261 (forall @t63 (=> @t211 @t443))) % 1.85/2.10 (assume @p262 (forall @t63 (=> @t40 @t443))) % 1.85/2.10 (assume @p263 (forall @t322 (=> (tptp.class_Rings_Oring__no__zero__divisors @t31) (= (= @t320 @t54) (or @t206 (= @t66 @t54)))))) % 1.85/2.10 (assume @p264 (forall @t325 (=> @t210 (=> @t181 (=> @t446 (not @t444)))))) % 1.85/2.10 (assume @p265 (forall @t325 (=> @t210 (=> @t444 (or @t180 @t445))))) % 1.85/2.10 (assume @p266 @t448) % 1.85/2.10 (assume @p267 (forall @t118 (=> @t209 (not (= @t54 @t34))))) % 1.85/2.10 (assume @p268 (forall @t450 (=> @t177 (= (= (tptp.hAPP @t268 @t238) @t54) (tptp.c_Rings_Odvd__class_Odvd @t32 (tptp.c_Polynomial_OpCons @t31 @t449 @t35) @t169))))) % 1.85/2.10 (assume @p269 (forall (@list @t169 @t238 @t31) (=> @t177 (= (tptp.c_Rings_Odvd__class_Odvd @t32 (tptp.c_Polynomial_OpCons @t31 @t238 @t35) @t169) (= (tptp.hAPP @t268 @t449) @t54))))) % 1.85/2.10 (assume @p270 (forall @t63 (=> @t40 @t451))) % 1.85/2.10 (assume @p271 (forall @t63 (=> @t40 @t452))) % 1.85/2.10 (assume @p272 (forall @t63 (=> @t40 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t54 @t36) @t180)))) % 1.85/2.10 (assume @p273 (forall @t325 (=> @t456 (= @t455 @t454)))) % 1.85/2.10 (assume @p274 (forall @t325 (=> @t456 (= @t455 @t458)))) % 1.85/2.10 (assume @p275 (forall @t325 (=> @t456 (= @t458 @t454)))) % 1.85/2.10 (assume @p276 (forall @t325 (=> @t456 (= (tptp.hAPP @t457 @t453) @t189)))) % 1.85/2.10 (assume @p277 (forall @t322 (=> @t177 (= (= (tptp.hAPP @t247 @t171) (tptp.hAPP @t245 @t66)) (or @t172 @t460))))) % 1.85/2.10 (assume @p278 (forall @t325 (=> @t40 (tptp.c_Rings_Odvd__class_Odvd @t31 @t36 @t189)))) % 1.85/2.10 (assume @p279 (forall @t325 (=> @t40 (tptp.c_Rings_Odvd__class_Odvd @t31 @t36 @t329)))) % 1.85/2.10 (assume @p280 (forall @t338 (=> @t40 (=> @t433 @t461)))) % 1.85/2.10 (assume @p281 (forall @t375 (=> @t40 (=> @t431 @t461)))) % 1.85/2.10 (assume @p282 (forall @t351 (=> @t40 (=> @t433 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t332 @t347) (tptp.c_Rings_Odvd__class_Odvd @t31 @t334 @t348)))))) % 1.85/2.10 (assume @p283 (forall (@list @t134 @t185 @t36 @t31) (=> @t462 (=> (= @t36 (tptp.hAPP @t328 @t134)) (tptp.c_Rings_Odvd__class_Odvd @t31 @t185 @t36))))) % 1.85/2.10 (assume @p284 (forall @t338 (=> @t40 (=> @t463 @t431)))) % 1.85/2.10 (assume @p285 (forall @t338 (=> @t40 (=> @t463 @t432)))) % 1.85/2.10 (assume @p286 (forall (@list @t204 @t88 @t91 @t31) (=> @t40 (= (tptp.hAPP (tptp.hAPP @t45 @t380) @t204) (tptp.hAPP @t357 (tptp.hAPP @t89 @t204)))))) % 1.85/2.10 (assume @p287 (forall @t63 (=> @t40 (tptp.c_Rings_Odvd__class_Odvd @t31 @t34 @t36)))) % 1.85/2.10 (assume @p288 (forall @t466 (=> @t236 (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t65 @t465) @t464)))) % 1.85/2.10 (assume @p289 (forall @t466 (=> @t236 (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t467 @t64) @t464)))) % 1.85/2.10 (assume @p290 (forall @t430 (=> @t177 (=> @t428 @t468)))) % 1.85/2.10 (assume @p291 (forall @t430 (=> @t177 (=> @t428 (and @t176 @t468))))) % 1.85/2.10 (assume @p292 (forall @t63 (=> @t315 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t314 @t54))))) % 1.85/2.10 (assume @p293 (forall @t249 (=> @t321 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t248 @t246) @t471)))) % 1.85/2.10 (assume @p294 (forall @t244 (=> @t321 (= @t472 @t471)))) % 1.85/2.10 (assume @p295 (forall @t244 (=> @t321 (=> @t362 (= @t472 @t470))))) % 1.85/2.10 (assume @p296 (forall @t325 (=> @t369 (=> @t55 (=> @t366 @t473))))) % 1.85/2.10 (assume @p297 (forall @t325 (=> @t369 (=> @t55 (=> @t475 @t474))))) % 1.85/2.10 (assume @p298 (forall @t325 (=> @t369 (=> @t55 (=> @t475 (tptp.c_Orderings_Oord__class_Oless @t31 @t329 @t54)))))) % 1.85/2.10 (assume @p299 (forall @t325 (=> @t369 (=> @t473 @t476)))) % 1.85/2.10 (assume @p300 (forall @t477 (=> @t369 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t329) @t476)))) % 1.85/2.10 (assume @p301 (forall @t244 (=> @t321 (=> @t363 (= @t472 @t469))))) % 1.85/2.10 (assume @p302 (forall @t325 (=> @t369 (=> @t478 (=> @t366 @t474))))) % 1.85/2.10 (assume @p303 (forall @t325 (=> @t321 (=> @t478 (=> @t475 @t473))))) % 1.85/2.10 (assume @p304 (forall @t338 (=> @t369 (=> @t368 (=> @t370 @t372))))) % 1.85/2.10 (assume @p305 (forall @t338 (=> @t369 @t479))) % 1.85/2.10 (assume @p306 (forall @t338 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t31) @t479))) % 1.85/2.10 (assume @p307 (forall @t346 (=> @t321 (=> @t481 (=> @t480 @t372))))) % 1.85/2.10 (assume @p308 (forall @t346 (=> @t321 (=> @t481 (=> @t480 @t376))))) % 1.85/2.10 (assume @p309 (forall @t118 (=> @t50 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t54))))) % 1.85/2.10 (assume @p310 (forall @t118 (=> @t50 (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t34)))) % 1.85/2.10 (assume @p311 (forall @t484 (=> @t384 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t171 @t483) @t482)))) % 1.85/2.10 (assume @p312 (forall (@list @t30 @t72 @t31) (=> @t50 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t72) (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t30) (tptp.c_Orderings_Oord__class_Oless @t31 @t34 (tptp.hAPP @t485 @t30))))))) % 1.85/2.10 (assume @p313 (forall (@list @t30 @t486 @t31) (=> @t50 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t486) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t486 @t34) (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.hAPP (tptp.hAPP @t45 @t486) @t251) @t486)))))) % 1.85/2.10 (assume @p314 (forall @t110 (=> @t146 (= @t398 @t257)))) % 1.85/2.10 (assume @p315 (forall @t466 (=> @t177 (= (= (tptp.hAPP (tptp.hAPP @t45 @t65) @t488) (tptp.hAPP (tptp.hAPP @t45 @t64) @t488)) (or @t487 (= @t65 @t465)))))) % 1.85/2.10 (assume @p316 (forall @t132 (= @t131 (or @t111 @t129)))) % 1.85/2.10 (assume @p317 (forall @t110 (=> @t146 (= @t490 @t489)))) % 1.85/2.10 (assume @p318 (forall @t110 (=> @t146 (= @t109 @t99)))) % 1.85/2.10 (assume @p319 (forall @t110 (=> @t146 (= @t148 @t145)))) % 1.85/2.10 (assume @p320 (forall @t491 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t91 @t488) (or (= @t91 @t7) (= @t91 @t250))))) % 1.85/2.10 (assume @p321 (forall @t484 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t483) @t482)))) % 1.85/2.10 (assume @p322 (forall @t484 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t483 @t54) @t493)))) % 1.85/2.10 (assume @p323 (forall @t491 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t91 @t91))) % 1.85/2.10 (assume @p324 (forall @t496 (= @t487 (and @t495 @t494)))) % 1.85/2.10 (assume @p325 (forall @t496 (= @t495 (or @t497 @t487)))) % 1.85/2.10 (assume @p326 (forall @t496 (= @t497 (and @t495 @t498)))) % 1.85/2.10 (assume @p327 (forall @t503 (=> @t502 (=> @t500 @t501)))) % 1.85/2.10 (assume @p328 (forall @t166 (=> @t164 @t504))) % 1.85/2.10 (assume @p329 (forall (@list @t65 @t64) (=> @t494 (= @t495 @t487)))) % 1.85/2.10 (assume @p330 (forall @t166 (=> @t504 (or @t506 @t164)))) % 1.85/2.10 (assume @p331 (forall @t503 (=> @t500 (=> @t502 @t501)))) % 1.85/2.10 (assume @p332 (forall @t509 (=> @t295 (=> @t508 @t507)))) % 1.85/2.10 (assume @p333 (forall @t509 (=> @t500 (=> @t510 @t507)))) % 1.85/2.10 (assume @p334 (forall @t87 (=> @t389 (=> @t387 @t159)))) % 1.85/2.10 (assume @p335 (forall @t166 (=> @t504 (=> @t505 @t164)))) % 1.85/2.10 (assume @p336 (forall @t514 (=> @t504 (=> @t513 @t512)))) % 1.85/2.10 (assume @p337 (forall @t509 (=> @t295 (=> (and @t508 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t332 @t185))) @t515)))) % 1.85/2.10 (assume @p338 (forall @t514 (=> @t504 @t517))) % 1.85/2.10 (assume @p339 (forall @t166 (=> @t506 @t165))) % 1.85/2.10 (assume @p340 (forall @t166 (=> @t506 (not (and @t505 (not @t504)))))) % 1.85/2.10 (assume @p341 (forall @t166 (=> @t506 @t504))) % 1.85/2.10 (assume @p342 (forall @t166 (=> @t506 @t518))) % 1.85/2.10 (assume @p343 (forall @t509 (=> @t501 (=> @t510 @t515)))) % 1.85/2.10 (assume @p344 (forall @t514 (=> @t506 (=> @t513 @t516)))) % 1.85/2.10 (assume @p345 (forall @t503 (=> @t501 (not (and @t499 (not @t500)))))) % 1.85/2.10 (assume @p346 (forall @t514 (=> @t506 @t517))) % 1.85/2.10 (assume @p347 (forall @t234 (=> @t62 (= (= @t54 @t65) @t519)))) % 1.85/2.10 (assume @p348 (forall @t338 (=> (tptp.class_Groups_Oab__semigroup__mult @t31) (= (tptp.hAPP (tptp.hAPP @t58 @t189) @t332) (tptp.hAPP @t59 @t333))))) % 1.85/2.10 (assume @p349 (forall @t234 (=> (tptp.class_Groups_Oone @t31) (= (= @t34 @t65) @t231)))) % 1.85/2.10 (assume @p350 (forall @t322 (=> @t520 (= (= @t483 @t459) @t172)))) % 1.85/2.10 (assume @p351 (forall @t322 (=> @t520 (= (= @t483 @t66) (= @t459 @t171))))) % 1.85/2.10 (assume @p352 (forall @t322 (=> @t520 (= @t460 (= @t66 @t483))))) % 1.85/2.10 (assume @p353 (forall @t63 (=> @t520 (= (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t77) @t36)))) % 1.85/2.10 (assume @p354 (forall @t484 (=> @t521 (= (= @t483 @t171) @t206)))) % 1.85/2.10 (assume @p355 (forall @t484 (=> @t520 (= (= @t483 @t54) @t206)))) % 1.85/2.10 (assume @p356 (forall @t484 (=> @t521 (= (= @t171 @t483) @t206)))) % 1.85/2.10 (assume @p357 (forall @t484 (=> @t520 (= (= @t54 @t483) @t522)))) % 1.85/2.10 (assume @p358 (forall @t118 (=> @t520 (= (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t54) @t54)))) % 1.85/2.10 (assume @p359 (forall @t63 (=> @t190 @t452))) % 1.85/2.10 (assume @p360 (forall @t63 (=> @t116 @t452))) % 1.85/2.10 (assume @p361 (forall @t63 (=> @t190 @t451))) % 1.85/2.10 (assume @p362 (forall @t63 (=> @t116 @t451))) % 1.85/2.10 (assume @p363 (forall @t325 (=> @t492 (=> @t290 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t453 @t77))))) % 1.85/2.10 (assume @p364 (forall @t523 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t459 @t483) @t360)))) % 1.85/2.10 (assume @p365 (forall @t322 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t483 @t66) (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t459 @t171))))) % 1.85/2.10 (assume @p366 (forall @t322 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t171 @t459) (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t66 @t483))))) % 1.85/2.10 (assume @p367 (forall @t523 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t459 @t483) @t470)))) % 1.85/2.10 (assume @p368 (forall @t322 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t483 @t66) (tptp.c_Orderings_Oord__class_Oless @t31 @t459 @t171))))) % 1.85/2.10 (assume @p369 (forall @t322 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t171 @t459) (tptp.c_Orderings_Oord__class_Oless @t31 @t66 @t483))))) % 1.85/2.10 (assume @p370 (forall @t110 (= @t109 (or @t96 @t99)))) % 1.85/2.10 (assume @p371 (forall @t110 (= @t490 (or @t96 @t489)))) % 1.85/2.10 (assume @p372 (forall @t484 (=> @t521 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t483 @t171) @t319)))) % 1.85/2.10 (assume @p373 (forall @t484 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t483 @t54) @t319)))) % 1.85/2.10 (assume @p374 (forall @t484 (=> @t521 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t171 @t483) @t317)))) % 1.85/2.10 (assume @p375 (forall @t484 (=> @t492 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t483) @t317)))) % 1.85/2.10 (assume @p376 (forall @t484 (=> @t521 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t483 @t171) @t493)))) % 1.85/2.10 (assume @p377 (forall @t524 (=> @t196 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t124 @t171) @t97) (tptp.hAPP (tptp.hAPP @t124 @t66) @t97)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t171 @t66))))) % 1.85/2.10 (assume @p378 (forall @t525 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t124 @t36) @t30) (tptp.hAPP (tptp.hAPP @t124 @t185) @t30)) (=> @t195 @t500)))) % 1.85/2.10 (assume @p379 (forall @t162 (=> @t48 (=> @t389 @t388)))) % 1.85/2.10 (assume @p380 (forall @t122 (=> @t62 (and (=> @t427 (= @t526 @t7)) (=> @t428 (= @t526 @t301)))))) % 1.85/2.10 (assume @p381 (forall @t230 (=> @t527 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t91 @t91)))) % 1.85/2.10 (assume @p382 (forall @t385 (=> @t530 (=> (not @t529) @t528)))) % 1.85/2.10 (assume @p383 (forall (@list @t65 @t1 @t2 @t31 @t198) (=> @t533 (=> @t532 (tptp.c_Orderings_Oord__class_Oless__eq @t198 (tptp.hAPP @t2 @t65) (tptp.hAPP @t1 @t65)))))) % 1.85/2.10 (assume @p384 (forall @t536 (=> @t535 (=> @t528 (=> @t534 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t511 @t91)))))) % 1.85/2.10 (assume @p385 (forall @t537 (=> @t535 (=> @t528 (=> @t529 @t164))))) % 1.85/2.10 (assume @p386 (forall @t539 (=> @t527 (=> @t529 (=> @t538 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t91 @t511)))))) % 1.85/2.10 (assume @p387 (forall @t385 (=> @t535 (=> @t529 (=> @t528 @t164))))) % 1.85/2.10 (assume @p388 (forall @t346 (=> @t535 (=> @t345 (=> @t510 @t540))))) % 1.85/2.10 (assume @p389 (forall @t338 (=> @t542 (=> @t290 (=> @t510 @t541))))) % 1.85/2.10 (assume @p390 (forall @t338 (=> @t535 (=> @t295 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t332 @t185) @t540))))) % 1.85/2.10 (assume @p391 (forall @t338 (=> @t542 (=> @t295 (=> @t543 @t541))))) % 1.85/2.10 (assume @p392 (forall @t547 (=> @t535 (=> @t546 @t545)))) % 1.85/2.10 (assume @p393 (forall @t385 (=> @t527 (=> @t164 @t529)))) % 1.85/2.10 (assume @p394 (forall @t466 (=> @t535 (= @t487 (and @t544 @t546))))) % 1.85/2.10 (assume @p395 (forall @t385 (=> @t530 (or @t529 @t528)))) % 1.85/2.10 (assume @p396 (forall @t548 (=> @t533 (= @t532 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t198 @t5 @t4)))))) % 1.85/2.10 (assume @p397 (forall @t230 (=> @t527 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t91 @t91))))) % 1.85/2.10 (assume @p398 (forall @t466 (=> @t530 (= @t498 (or @t550 @t549))))) % 1.85/2.10 (assume @p399 (forall @t466 (=> @t530 (= @t551 (or @t549 @t487))))) % 1.85/2.10 (assume @p400 (forall @t385 (=> @t530 (or @t408 @t164 @t407)))) % 1.85/2.10 (assume @p401 (forall @t547 (=> @t530 (=> (not @t549) @t552)))) % 1.85/2.10 (assume @p402 (forall @t385 (=> @t530 @t410))) % 1.85/2.10 (assume @p403 (forall @t385 (=> @t535 (=> @t408 @t165)))) % 1.85/2.10 (assume @p404 (forall @t385 (=> @t527 (=> @t408 (not @t407))))) % 1.85/2.10 (assume @p405 (forall @t385 (=> @t535 (=> @t408 @t518)))) % 1.85/2.10 (assume @p406 (forall @t325 (=> @t527 (=> @t368 (not @t481))))) % 1.85/2.10 (assume @p407 (forall @t477 (=> @t535 (=> @t481 (not @t368))))) % 1.85/2.10 (assume @p408 (forall @t338 (=> @t542 (=> @t295 (=> @t554 @t553))))) % 1.85/2.10 (assume @p409 (forall @t338 (=> @t535 (=> @t295 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t332 @t185) @t555))))) % 1.85/2.10 (assume @p410 (forall @t338 (=> @t542 (=> @t368 (=> @t510 @t553))))) % 1.85/2.10 (assume @p411 (forall @t346 (=> @t535 (=> @t481 (=> @t510 @t555))))) % 1.85/2.10 (assume @p412 (forall @t539 (=> @t527 (=> @t408 @t557)))) % 1.85/2.10 (assume @p413 (forall @t536 (=> @t535 (=> @t407 @t559)))) % 1.85/2.10 (assume @p414 (forall @t385 (=> @t530 (=> @t409 (=> @t165 @t407))))) % 1.85/2.10 (assume @p415 (forall @t525 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t560 @t36) @t30) (tptp.hAPP (tptp.hAPP @t560 @t185) @t30)) (=> @t195 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t36 @t185))))) % 1.85/2.10 (assume @p416 (forall @t524 (=> @t196 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t560 @t171) @t97) (tptp.hAPP (tptp.hAPP @t560 @t66) @t97)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t171 @t66))))) % 1.85/2.10 (assume @p417 (forall @t359 (=> @t62 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t31 @t169) @t7) @t214)))) % 1.85/2.10 (assume @p418 (forall @t466 (=> @t530 (= @t551 @t546)))) % 1.85/2.10 (assume @p419 (forall @t466 (=> @t530 (= (not @t544) @t549)))) % 1.85/2.10 (assume @p420 @t562) % 1.85/2.10 (assume @p421 (forall @t466 (=> @t535 (= @t550 (and @t544 @t498))))) % 1.85/2.10 (assume @p422 (forall @t466 (=> @t527 (= @t550 (and @t544 (not @t546)))))) % 1.85/2.10 (assume @p423 (forall @t466 (=> @t535 (= @t544 (or @t550 @t487))))) % 1.85/2.10 (assume @p424 (forall @t385 (=> @t530 (=> @t409 @t528)))) % 1.85/2.10 (assume @p425 (forall @t537 (=> @t530 (=> (not @t528) @t408)))) % 1.85/2.10 (assume @p426 (forall @t466 (=> @t530 (=> @t551 @t545)))) % 1.85/2.10 (assume @p427 (forall @t325 (=> @t535 (=> @t502 (=> @t290 @t368))))) % 1.85/2.10 (assume @p428 (forall @t325 (=> @t535 (=> @t502 (=> @t345 @t481))))) % 1.85/2.10 (assume @p429 (forall @t537 (=> @t530 (=> @t528 @t409)))) % 1.85/2.10 (assume @p430 (forall @t385 (=> @t527 (=> @t408 @t529)))) % 1.85/2.10 (assume @p431 (forall @t466 (=> @t530 (=> @t544 @t552)))) % 1.85/2.10 (assume @p432 (forall @t385 (=> @t535 (=> @t529 (or @t408 @t164))))) % 1.85/2.10 (assume @p433 (forall @t325 (=> @t535 (=> @t290 (=> @t502 @t368))))) % 1.85/2.10 (assume @p434 (forall @t477 (=> @t535 (=> @t345 (=> @t502 @t481))))) % 1.85/2.10 (assume @p435 (forall @t539 (=> @t527 (=> @t408 (=> @t538 @t556))))) % 1.85/2.10 (assume @p436 (forall @t536 (=> @t535 (=> @t407 (=> @t534 @t558))))) % 1.85/2.10 (assume @p437 (forall @t539 (=> @t527 (=> @t529 @t557)))) % 1.85/2.10 (assume @p438 (forall @t536 (=> @t535 (=> @t528 @t559)))) % 1.85/2.10 (assume @p439 (forall @t491 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t91 @t7))) % 1.85/2.10 (assume @p440 (forall @t491 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t83 @t91))) % 1.85/2.10 (assume @p441 (forall @t118 (=> @t212 (= @t45 (tptp.c_Power_Opower_Opower @t31 @t34 @t58))))) % 1.85/2.10 (assume @p442 (forall @t440 (=> @t203 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t31 @t563) (tptp.hAPP @t403 @t437))))) % 1.85/2.10 (assume @p443 (forall @t166 (=> @t163 @t564))) % 1.85/2.10 (assume @p444 (forall @t218 (=> @t384 (= (tptp.c_Polynomial_Opos__poly @t31 @t173) (or @t565 (and @t214 @t493)))))) % 1.85/2.10 (assume @p445 (forall @t325 (=> @t566 (= @t454 @t455)))) % 1.85/2.10 (assume @p446 (forall @t548 (=> @t533 (= (tptp.c_Orderings_Oord__class_Oless @t531 @t2 @t1) (and @t532 (not (tptp.c_Orderings_Oord__class_Oless__eq @t531 @t1 @t2))))))) % 1.85/2.10 (assume @p447 (forall @t118 (=> @t384 (not (tptp.c_Polynomial_Opos__poly @t31 @t33))))) % 1.85/2.10 (assume @p448 (forall @t440 (=> @t384 (=> @t568 (=> @t567 (tptp.c_Polynomial_Opos__poly @t31 @t401)))))) % 1.85/2.10 (assume @p449 (forall @t205 (=> @t203 (= (tptp.c_Polynomial_Opcompose @t31 @t33 @t204) @t33)))) % 1.85/2.10 (assume @p450 (forall @t402 (=> @t203 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t563) @t91) (tptp.hAPP @t311 @t400))))) % 1.85/2.10 (assume @p451 (forall (@list @t171 @t570 @t569 @t31) (= (tptp.hAPP @t571 @t7) @t569))) % 1.85/2.10 (assume @p452 (forall (@list @t97 @t171 @t570 @t569 @t31) (= (tptp.hAPP @t571 @t255) (tptp.hAPP (tptp.hAPP @t570 @t171) (tptp.hAPP @t571 @t97))))) % 1.85/2.10 (assume @p453 (forall @t122 (=> @t384 (or @t427 @t568 (tptp.c_Polynomial_Opos__poly @t31 @t121))))) % 1.85/2.10 (assume @p454 (forall @t230 (=> @t566 (= (tptp.hAPP @t353 @t54) @t54)))) % 1.85/2.10 (assume @p455 (forall @t63 (=> @t566 @t443))) % 1.85/2.10 (assume @p456 (forall @t572 (=> @t566 (= (tptp.hAPP @t441 @t88) @t54)))) % 1.85/2.10 (assume @p457 (forall (@list @t185 @t31) (=> @t566 (= (tptp.hAPP @t441 @t185) @t54)))) % 1.85/2.10 (assume @p458 (forall @t385 (=> @t566 (= (tptp.hAPP (tptp.hAPP @t58 @t235) @t88) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t380))))) % 1.85/2.10 (assume @p459 (forall @t325 (=> @t566 (= @t458 @t455)))) % 1.85/2.10 (assume @p460 (forall (@list @t91 @t573 @t31) (=> @t566 (= (tptp.hAPP @t574 @t235) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t575))))) % 1.85/2.10 (assume @p461 (forall @t514 (= (tptp.hAPP (tptp.hAPP @t560 @t577) @t511) (tptp.hAPP @t576 (tptp.hAPP (tptp.hAPP @t84 @t88) @t511))))) % 1.85/2.10 (assume @p462 (forall @t385 (=> @t579 (=> @t529 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t578 @t235))))) % 1.85/2.10 (assume @p463 (forall @t466 (=> @t579 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t467 @t465) @t546)))) % 1.85/2.10 (assume @p464 (forall (@list @t91 @t119 @t30 @t31) (=> @t236 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 (tptp.hAPP (tptp.hAPP @t201 (tptp.c_Polynomial_Omonom @t31 @t34 @t30)) @t119)) @t91) (tptp.hAPP (tptp.hAPP @t58 @t93) @t312))))) % 1.85/2.10 (assume @p465 (forall (@list @t66 @t97 @t171 @t31) (=> @t62 (= (= @t580 (tptp.c_Polynomial_Omonom @t31 @t66 @t97)) @t172)))) % 1.85/2.10 (assume @p466 (forall @t193 (=> @t62 (= (tptp.c_Polynomial_Omonom @t31 @t54 @t30) @t33)))) % 1.85/2.10 (assume @p467 (forall @t213 (=> @t62 (= (= @t580 @t33) @t206)))) % 1.85/2.10 (assume @p468 (forall @t42 (=> @t62 (=> @t181 (= @t582 @t30))))) % 1.85/2.10 (assume @p469 (forall @t42 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t582 @t30)))) % 1.85/2.10 (assume @p470 (forall @t42 (=> @t117 (= (tptp.c_Groups_Ouminus__class_Ouminus @t32 @t581) (tptp.c_Polynomial_Omonom @t31 @t77 @t30))))) % 1.85/2.10 (assume @p471 (forall @t63 (=> @t583 (= @t314 @t36)))) % 1.85/2.10 (assume @p472 (forall @t230 (=> @t583 (= @t584 @t91)))) % 1.85/2.10 (assume @p473 (forall @t325 (=> @t583 (= (tptp.hAPP @t59 @t189) @t189)))) % 1.85/2.10 (assume @p474 (forall @t230 (=> @t579 (= (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t235) @t91)))) % 1.85/2.10 (assume @p475 (forall (@list @t65 @t585 @t198 @t31) (=> (tptp.class_Groups_Ouminus @t31) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t587 @t585) @t65) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t586))))) % 1.85/2.10 (assume @p476 (forall @t466 (=> @t579 (= (= @t467 @t465) @t487)))) % 1.85/2.10 (assume @p477 (forall @t87 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t72) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t30) (=> @t589 (=> @t588 @t159)))))) % 1.85/2.10 (assume @p478 (forall @t87 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t72) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t72 @t30) (not @t588))))) % 1.85/2.10 (assume @p479 (forall (@list @t30 @t511) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t511 @t30) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t30) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t511 @t30))))) % 1.85/2.10 (assume @p480 (forall @t392 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t592 @t72) (tptp.hAPP @t592 @t30)) (=> (not (= @t134 @t590)) @t589)))) % 1.85/2.10 (assume @p481 (forall @t42 (=> @t62 (= (tptp.c_Polynomial_Omonom @t31 @t36 @t251) (tptp.c_Polynomial_OpCons @t31 @t54 @t581))))) % 1.85/2.10 (assume @p482 (forall (@list @t91 @t30 @t36 @t31) (=> @t40 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t581) @t91) (tptp.hAPP @t59 @t93))))) % 1.85/2.10 (assume @p483 (forall @t63 (=> @t62 (= (tptp.c_Polynomial_Omonom @t31 @t36 @t7) @t61)))) % 1.85/2.10 (assume @p484 (forall (@list @t169 @t171 @t31 @t593 @t2 @t198) (=> @t599 (=> @t598 (= @t596 (tptp.hAPP @t595 @t594)))))) % 1.85/2.10 (assume @p485 (forall @t450 (=> @t203 (= (= (tptp.c_Polynomial_Osynthetic__div @t31 @t169 @t238) @t33) (= @t600 @t7))))) % 1.85/2.10 (assume @p486 (forall @t405 (=> @t62 (=> @t605 (=> @t604 (or @t427 @t601)))))) % 1.85/2.10 (assume @p487 (forall @t152 (=> @t116 (=> @t48 (= (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP @t92 @t606)) @t91) @t93))))) % 1.85/2.10 (assume @p488 (forall (@list @t607) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t607 @t607))) % 1.85/2.10 (assume @p489 (forall @t610 (or @t609 @t608))) % 1.85/2.10 (assume @p490 (forall @t140 (=> @t611 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t133 @t134) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t123 @t134))))) % 1.85/2.10 (assume @p491 (forall @t610 (=> @t609 (=> @t608 (= @t511 @t607))))) % 1.85/2.10 (assume @p492 (forall (@list @t612 @t593) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t593 @t612) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t593 @t612) (not (= @t593 @t612)))))) % 1.85/2.10 (assume @p493 (forall @t614 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t613 @t593) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t593)))) % 1.85/2.10 (assume @p494 (forall @t166 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t91 @t88) @t164 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t88 @t91)))) % 1.85/2.10 (assume @p495 (forall @t294 (=> @t117 (= (tptp.c_Groups_Ominus__class_Ominus @t32 @t581 @t616) (tptp.c_Polynomial_Omonom @t31 @t615 @t30))))) % 1.85/2.10 (assume @p496 (forall (@list @t65 @t617 @t585 @t198 @t31) (=> (tptp.class_Groups_Ominus @t31) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t587 @t585 @t617) @t65) (tptp.c_Groups_Ominus__class_Ominus @t31 @t586 (tptp.hAPP @t617 @t65)))))) % 1.85/2.10 (assume @p497 (forall @t140 (=> @t619 (=> @t618 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t592 @t123) (tptp.hAPP @t592 @t133)))))) % 1.85/2.10 (assume @p498 (forall @t114 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t98) (= (= (tptp.hAPP (tptp.hAPP @t591 @t98) @t97) @t613) (and (= @t98 @t613) (= @t97 @t613)))))) % 1.85/2.10 (assume @p499 (forall @t625 (= (tptp.hAPP (tptp.hAPP @t591 (tptp.hAPP @t624 @t621)) @t620) (tptp.hAPP @t624 (tptp.hAPP @t622 @t620))))) % 1.85/2.10 (assume @p500 (forall @t610 (= (tptp.hAPP (tptp.hAPP @t591 @t628) @t607) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t627)))) % 1.85/2.10 (assume @p501 (forall @t610 (= @t627 (tptp.hAPP @t629 @t511)))) % 1.85/2.10 (assume @p502 (forall @t630 (= (tptp.hAPP @t626 @t613) @t511))) % 1.85/2.10 (assume @p503 (forall @t630 (= (tptp.hAPP (tptp.hAPP @t591 @t613) @t511) @t511))) % 1.85/2.10 (assume @p504 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t590) @t590)) % 1.85/2.10 (assume @p505 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t613)) % 1.85/2.10 (assume @p506 (not (= @t590 @t613))) % 1.85/2.10 (assume @p507 (forall @t633 (=> @t73 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t72 @t280) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t632 @t631))))) % 1.85/2.10 (assume @p508 (forall (@list @t30 @t134 @t133) (=> @t309 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t133 @t30) @t134)))) % 1.85/2.10 (assume @p509 (forall @t637 (=> @t492 (=> @t636 (= @t470 (tptp.c_Orderings_Oord__class_Oless @t31 @t238 @t634)))))) % 1.85/2.10 (assume @p510 (forall @t322 (=> @t520 (= @t638 @t172)))) % 1.85/2.10 (assume @p511 (forall @t322 (=> @t117 (= @t172 @t638)))) % 1.85/2.10 (assume @p512 (forall @t63 (=> @t520 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t36 @t36) @t54)))) % 1.85/2.10 (assume @p513 (forall @t63 (=> @t520 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t36 @t54) @t36)))) % 1.85/2.10 (assume @p514 (forall @t325 (=> @t117 (= @t639 (tptp.c_Groups_Ominus__class_Ominus @t31 @t185 @t36))))) % 1.85/2.10 (assume @p515 (forall @t44 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t30) @t7))) % 1.85/2.10 (assume @p516 (forall @t115 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t7) @t72))) % 1.85/2.10 (assume @p517 (forall @t115 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t72) @t7))) % 1.85/2.10 (assume @p518 (forall @t87 (=> @t641 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t72) @t7) @t159)))) % 1.85/2.10 (assume @p519 (forall @t87 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t252 @t251) @t640))) % 1.85/2.10 (assume @p520 (forall @t274 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t642 (tptp.c_Nat_OSuc @t134)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t640 @t134)))) % 1.85/2.10 (assume @p521 (forall @t392 (= (tptp.hAPP @t135 @t640) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t391 @t390)))) % 1.85/2.10 (assume @p522 (forall @t274 (= (tptp.hAPP (tptp.hAPP @t84 @t640) @t134) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t643 @t273)))) % 1.85/2.10 (assume @p523 (forall @t646 (=> @t117 (= (tptp.c_Groups_Ominus__class_Ominus @t32 @t200 @t645) (tptp.c_Polynomial_OpCons @t31 @t615 @t644))))) % 1.85/2.10 (assume @p524 (forall @t649 (=> @t117 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t31 @t644) @t30) (tptp.c_Groups_Ominus__class_Ominus @t31 @t603 @t648))))) % 1.85/2.10 (assume @p525 (forall @t140 (= @t651 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t123 @t134) @t133)))) % 1.85/2.10 (assume @p526 (forall @t466 (=> @t62 (= (= (tptp.c_Polynomial_Ocoeff @t31 @t65) (tptp.c_Polynomial_Ocoeff @t31 @t64)) @t487)))) % 1.85/2.10 (assume @p527 (forall @t270 (=> @t62 (= @t170 (forall @t654 (= (tptp.hAPP @t653 @t652) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t31 @t168) @t652))))))) % 1.85/2.10 (assume @p528 (forall @t637 (=> @t117 (=> @t636 (= @t172 @t655))))) % 1.85/2.10 (assume @p529 (forall @t402 (=> @t313 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t644) @t91) (tptp.c_Groups_Ominus__class_Ominus @t31 @t312 @t400))))) % 1.85/2.10 (assume @p530 (forall (@list @t332 @t119 @t31) (=> @t203 (= (tptp.c_Polynomial_Odegree @t31 @t656) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t120 @t83))))) % 1.85/2.10 (assume @p531 (forall @t662 (=> @t566 (= (tptp.hAPP @t661 @t657) (tptp.c_Groups_Ominus__class_Ominus @t31 @t659 @t658))))) % 1.85/2.10 (assume @p532 (forall @t665 (=> @t566 (= (tptp.hAPP (tptp.hAPP @t58 (tptp.c_Groups_Ominus__class_Ominus @t31 @t36 @t663)) @t185) (tptp.c_Groups_Ominus__class_Ominus @t31 @t189 @t664))))) % 1.85/2.10 (assume @p533 (forall @t667 (=> @t566 (= (tptp.hAPP @t574 @t660) (tptp.c_Groups_Ominus__class_Ominus @t31 @t575 @t666))))) % 1.85/2.10 (assume @p534 (forall @t670 (=> @t566 (= (tptp.hAPP @t59 (tptp.c_Groups_Ominus__class_Ominus @t31 @t185 @t668)) (tptp.c_Groups_Ominus__class_Ominus @t31 @t189 @t669))))) % 1.85/2.10 (assume @p535 (forall @t110 (=> @t674 (=> @t673 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t672 @t671) @t257))))) % 1.85/2.10 (assume @p536 (forall @t392 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t134 @t72) (=> @t297 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t134) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t134)) @t640))))) % 1.85/2.10 (assume @p537 (forall @t110 (=> @t674 (=> @t673 (= (= @t672 @t671) @t99))))) % 1.85/2.10 (assume @p538 (forall @t285 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t123 @t30) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t123)) @t123)))) % 1.85/2.10 (assume @p539 (forall @t633 (=> @t265 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t280) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t280))))) % 1.85/2.10 (assume @p540 (forall @t633 (=> @t265 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t632 @t631)))) % 1.85/2.10 (assume @p541 (forall @t87 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t640 @t72))) % 1.85/2.10 (assume @p542 (forall @t392 (=> @t676 (=> @t298 @t675)))) % 1.85/2.10 (assume @p543 (forall @t539 (=> @t236 (=> @t94 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t91 @t511) (tptp.c_Rings_Odvd__class_Odvd @t31 @t91 (tptp.c_Groups_Ominus__class_Ominus @t31 @t88 @t511))))))) % 1.85/2.10 (assume @p544 (forall @t637 (=> @t492 (=> @t636 (= @t360 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t238 @t634)))))) % 1.85/2.10 (assume @p545 (forall @t322 (=> @t492 (= @t360 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t635 @t54))))) % 1.85/2.10 (assume @p546 (forall @t322 (=> @t492 (= @t470 (tptp.c_Orderings_Oord__class_Oless @t31 @t635 @t54))))) % 1.85/2.10 (assume @p547 (forall @t63 (=> @t520 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t54 @t36) @t77)))) % 1.85/2.10 (assume @p548 (forall @t162 (=> @t48 (=> @t388 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t640 @t72))))) % 1.85/2.10 (assume @p549 (forall @t272 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t97 @t98)) @t145))) % 1.85/2.10 (assume @p550 (forall @t87 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t640 @t252))) % 1.85/2.10 (assume @p551 @t679) % 1.85/2.10 (assume @p552 (forall @t87 (=> @t265 @t641))) % 1.85/2.10 (assume @p553 (forall @t162 (=> @t264 (= @t642 (tptp.c_Nat_OSuc @t640))))) % 1.85/2.10 (assume @p554 (forall @t193 (=> @t62 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t31 @t33) @t30) @t54)))) % 1.85/2.10 (assume @p555 (forall @t509 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t36 @t185) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t332 @t36) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t36 @t332) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t185 @t332)))))) % 1.85/2.10 (assume @p556 (forall @t110 (=> @t674 (=> @t673 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t672 @t671) @t145))))) % 1.85/2.10 (assume @p557 (forall @t392 (=> @t675 (=> @t298 (=> @t264 @t676))))) % 1.85/2.10 (assume @p558 (forall @t392 (=> @t675 (=> @t676 (=> @t264 @t298))))) % 1.85/2.10 (assume @p559 (forall @t44 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t251 @t83) @t30))) % 1.85/2.10 (assume @p560 (forall @t87 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t251) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t680 @t30)))) % 1.85/2.10 (assume @p561 (forall @t178 (=> @t62 (= (tptp.hAPP @t681 @t7) @t36)))) % 1.85/2.10 (assume @p562 (forall (@list @t30 @t119 @t36 @t31) (=> @t62 (= (tptp.hAPP @t681 @t251) @t603)))) % 1.85/2.10 (assume @p563 (forall @t399 (=> @t62 (and (=> @t159 (= @t683 @t36)) (=> @t160 (= @t683 @t54)))))) % 1.85/2.10 (assume @p564 (forall (@list @t332 @t31) (=> @t203 (= (tptp.c_Polynomial_Osynthetic__div @t31 @t33 @t332) @t33)))) % 1.85/2.10 (assume @p565 (forall @t405 (=> @t117 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t31 @t121) @t30) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t603))))) % 1.85/2.10 (assume @p566 (forall @t440 (=> @t177 (=> (= @t685 @t684) (=> @t439 (=> (tptp.c_Rings_Odvd__class_Odvd @t32 @t204 @t119) (= @t119 @t204))))))) % 1.85/2.10 (assume @p567 (forall (@list @t123 @t30) (=> @t48 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t308) @t30)))) % 1.85/2.10 (assume @p568 (forall @t44 (=> @t48 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t250)) @t30)))) % 1.85/2.10 (assume @p569 (forall @t405 (=> @t62 (=> @t601 @t604)))) % 1.85/2.10 (assume @p570 (forall @t405 (=> @t62 (=> (not @t604) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t30 @t120))))) % 1.85/2.10 (assume @p571 (forall @t122 (=> @t62 (=> @t428 (not (= @t685 @t54)))))) % 1.85/2.10 (assume @p572 (forall @t359 (=> @t62 (= (= @t686 @t54) @t214)))) % 1.85/2.10 (assume @p573 (forall @t44 (=> @t48 (= @t687 @t30)))) % 1.85/2.10 (assume @p574 (forall @t44 (=> @t48 (= @t30 @t687)))) % 1.85/2.10 (assume @p575 (forall (@list @t332 @t119 @t36 @t31) (=> @t203 (= (tptp.c_Polynomial_Osynthetic__div @t31 @t200 @t332) (tptp.c_Polynomial_OpCons @t31 @t688 @t656))))) % 1.85/2.10 (assume @p576 (forall (@list @t119 @t72) (and (=> @t82 (= @t690 @t83)) (=> @t691 (= @t690 (tptp.hAPP @t434 (tptp.hAPP @t689 @t680))))))) % 1.85/2.10 (assume @p577 (forall (@list @t31 @t593 @t2 @t198) (=> @t599 (=> @t598 (= (tptp.c_Polynomial_Opoly__rec @t31 @t198 @t593 @t2 @t597) @t593))))) % 1.85/2.10 (assume @p578 (forall @t193 (=> @t40 (and (=> @t194 (= @t692 @t34)) (=> @t195 (= @t692 @t54)))))) % 1.85/2.10 (assume @p579 (forall @t359 (=> @t384 (= @t565 (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t686))))) % 1.85/2.10 (assume @p580 (forall @t42 (=> @t40 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t31 @t38) @t30) @t34)))) % 1.85/2.10 (assume @p581 (forall (@list @t169 @t171 @t2 @t593 @t31 @t198) (=> @t599 (= @t596 (tptp.hAPP @t595 (tptp.c_If @t31 (tptp.c_fequal @t169 @t597) @t593 @t594)))))) % 1.85/2.10 (assume @p582 (forall (@list @t72 @t30 @t31) (=> @t212 (and (=> @t194 (= @t694 @t34)) (=> @t195 (= @t694 (tptp.hAPP @t485 (tptp.hAPP @t693 @t606)))))))) % 1.85/2.10 (assume @p583 (forall (@list @t88 @t30 @t119 @t31) (=> @t116 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t119 @t30) (= (tptp.hAPP @t89 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t251 @t119)) (tptp.hAPP (tptp.hAPP @t58 (tptp.hAPP @t89 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t119))) @t88)))))) % 1.85/2.10 (assume @p584 (forall (@list @t30 @t91) (=> @t695 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 (tptp.hAPP @t576 @t30))))) % 1.85/2.10 (assume @p585 (forall (@list @t696 @t98 @t95) (=> (not @t699) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t98 @t696) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t698 (tptp.hAPP @t697 @t696)))))) % 1.85/2.10 (assume @p586 (forall @t392 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t134 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t72 @t30)) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t134 @t30) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t134 @t72))))) % 1.85/2.10 (assume @p587 (forall @t703 (= (tptp.hAPP (tptp.hAPP @t591 @t702) @t607) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t701 @t700)))) % 1.85/2.10 (assume @p588 (forall @t706 (= (tptp.hAPP @t629 @t702) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t705 @t704)))) % 1.85/2.10 (assume @p589 (forall @t630 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t628) @t511))) % 1.85/2.10 (assume @p590 (forall @t466 (=> @t384 (= (tptp.c_Orderings_Oord__class_Oless__eq @t32 @t65 @t64) (or @t487 @t707))))) % 1.85/2.10 (assume @p591 (forall @t466 (=> @t384 (= (tptp.c_Orderings_Oord__class_Oless @t32 @t65 @t64) @t707)))) % 1.85/2.10 (assume @p592 (forall @t122 (=> @t117 (= (tptp.c_Groups_Ominus__class_Ominus @t32 @t119 @t33) @t119)))) % 1.85/2.10 (assume @p593 (forall @t709 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t95 @t708) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t95 @t708) @t590)))) % 1.85/2.10 (assume @p594 (forall @t711 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t612 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t593 @t613)) @t710))) % 1.85/2.10 (assume @p595 (forall @t714 (=> @t117 (=> @t601 (=> @t713 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t712 @t30)))))) % 1.85/2.10 (assume @p596 (forall @t714 (=> @t117 (=> @t605 (=> @t715 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t712 @t30)))))) % 1.85/2.10 (assume @p597 (forall @t205 (=> @t117 (= (tptp.c_Groups_Ominus__class_Ominus @t32 @t33 @t204) (tptp.c_Groups_Ouminus__class_Ouminus @t32 @t204))))) % 1.85/2.10 (assume @p598 (forall @t717 (= @t716 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t634 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t696))))) % 1.85/2.10 (assume @p599 (forall @t717 (= @t716 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t634) @t696)))) % 1.85/2.10 (assume @p600 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t590)) % 1.85/2.10 (assume @p601 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t613)) % 1.85/2.10 (assume @p602 (forall @t166 (=> @t695 (=> @t718 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 (tptp.hAPP (tptp.hAPP @t591 @t91) @t88)))))) % 1.85/2.10 (assume @p603 (forall (@list @t119 @t332 @t31) (=> @t236 (= (tptp.c_Groups_Oplus__class_Oplus @t32 (tptp.hAPP (tptp.hAPP @t201 (tptp.c_Polynomial_OpCons @t31 (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t332) @t35)) @t656) (tptp.c_Polynomial_OpCons @t31 @t688 @t33)) @t119)))) % 1.85/2.10 (assume @p604 (forall @t325 (=> @t117 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t77 @t453) @t639)))) % 1.85/2.10 (assume @p605 (forall (@list @t119 @t30 @t31) (=> @t62 (=> (forall @t720 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t719) (= (tptp.hAPP @t602 @t719) @t54))) @t605)))) % 1.85/2.10 (assume @p606 (forall @t325 (=> @t117 (= @t722 (tptp.c_Groups_Oplus__class_Oplus @t31 @t77 @t453))))) % 1.85/2.10 (assume @p607 (forall @t325 (=> @t520 (= @t722 (tptp.c_Groups_Oplus__class_Oplus @t31 @t453 @t77))))) % 1.85/2.10 (assume @p608 (forall @t325 (=> @t520 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 (tptp.c_Groups_Oplus__class_Oplus @t31 @t77 @t185)) @t185)))) % 1.85/2.10 (assume @p609 (forall @t325 (=> @t520 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t77 @t721) @t185)))) % 1.85/2.10 (assume @p610 (forall @t325 (=> @t520 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t721 @t185) @t36)))) % 1.85/2.10 (assume @p611 (forall @t325 (=> @t520 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t615 @t185) @t36)))) % 1.85/2.10 (assume @p612 (forall @t294 (=> @t723 (= (tptp.c_Groups_Oplus__class_Oplus @t32 @t581 @t616) (tptp.c_Polynomial_Omonom @t31 @t721 @t30))))) % 1.85/2.10 (assume @p613 (forall @t351 (=> @t40 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t721 @t726) (tptp.c_Groups_Oplus__class_Oplus @t31 @t725 @t724))))) % 1.85/2.10 (assume @p614 (forall @t338 (=> @t40 (= @t727 (tptp.c_Groups_Oplus__class_Oplus @t31 @t725 @t185))))) % 1.85/2.10 (assume @p615 (forall @t338 (=> @t40 @t729))) % 1.85/2.10 (assume @p616 (forall @t731 (=> @t40 (= @t730 (tptp.c_Groups_Oplus__class_Oplus @t31 @t725 @t347))))) % 1.85/2.10 (assume @p617 (forall @t731 (=> @t40 (= @t730 (tptp.c_Groups_Oplus__class_Oplus @t31 @t332 (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 @t347)))))) % 1.85/2.10 (assume @p618 (forall (@list @t332 @t36 @t31) (=> @t40 (= @t725 @t732)))) % 1.85/2.10 (assume @p619 (forall @t646 (=> @t723 (= (tptp.c_Groups_Oplus__class_Oplus @t32 @t200 @t645) (tptp.c_Polynomial_OpCons @t31 @t721 @t733))))) % 1.85/2.10 (assume @p620 (forall @t402 (=> @t203 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t733) @t91) (tptp.c_Groups_Oplus__class_Oplus @t31 @t312 @t400))))) % 1.85/2.10 (assume @p621 (forall @t346 (=> @t735 (=> (= @t734 @t732) @t510)))) % 1.85/2.10 (assume @p622 (forall @t338 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t31) @t736))) % 1.85/2.10 (assume @p623 (forall @t338 (=> @t735 @t736))) % 1.85/2.10 (assume @p624 (forall (@list @t238 @t171 @t66 @t31) (=> @t735 (= (= @t739 @t738) @t737)))) % 1.85/2.10 (assume @p625 (forall @t742 (=> @t735 (= (= @t741 @t740) @t737)))) % 1.85/2.10 (assume @p626 (forall @t338 (=> (tptp.class_Groups_Oab__semigroup__add @t31) @t729))) % 1.85/2.10 (assume @p627 (forall @t338 (=> @t40 (=> @t433 (=> @t431 (tptp.c_Rings_Odvd__class_Odvd @t31 @t36 @t728)))))) % 1.85/2.10 (assume @p628 (forall @t440 (=> @t384 (=> @t568 (=> @t567 (tptp.c_Polynomial_Opos__poly @t31 @t733)))))) % 1.85/2.10 (assume @p629 (forall @t378 (=> @t745 (=> @t744 @t290)))) % 1.85/2.10 (assume @p630 (forall @t375 (=> @t745 (=> @t746 @t290)))) % 1.85/2.10 (assume @p631 (forall @t351 (=> @t747 (=> @t290 (=> @t350 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t725 @t724)))))) % 1.85/2.10 (assume @p632 (forall @t338 (=> @t747 (=> @t290 @t744)))) % 1.85/2.10 (assume @p633 (forall @t338 (=> @t747 (=> @t290 @t746)))) % 1.85/2.10 (assume @p634 (forall @t244 (=> @t745 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t738 @t748) @t360)))) % 1.85/2.10 (assume @p635 (forall @t249 (=> @t745 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t740 @t749) @t360)))) % 1.85/2.10 (assume @p636 (forall @t670 (=> @t566 (= (tptp.hAPP @t59 (tptp.c_Groups_Oplus__class_Oplus @t31 @t185 @t668)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t189 @t669))))) % 1.85/2.10 (assume @p637 (forall @t667 (=> @t566 (= (tptp.hAPP @t574 @t750) (tptp.c_Groups_Oplus__class_Oplus @t31 @t575 @t666))))) % 1.85/2.10 (assume @p638 (forall @t665 (=> @t566 (= (tptp.hAPP (tptp.hAPP @t58 (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 @t663)) @t185) (tptp.c_Groups_Oplus__class_Oplus @t31 @t189 @t664))))) % 1.85/2.10 (assume @p639 (forall @t662 (=> @t566 (= (tptp.hAPP (tptp.hAPP @t58 @t750) @t657) (tptp.c_Groups_Oplus__class_Oplus @t31 @t659 @t658))))) % 1.85/2.10 (assume @p640 (forall @t122 (=> @t723 (= (tptp.c_Groups_Oplus__class_Oplus @t32 @t119 @t33) @t119)))) % 1.85/2.10 (assume @p641 (forall @t205 (=> @t723 (= (tptp.c_Groups_Oplus__class_Oplus @t32 @t33 @t204) @t204)))) % 1.85/2.10 (assume @p642 (forall (@list @t486 @t204 @t119 @t31) (=> @t203 (= (tptp.hAPP (tptp.hAPP @t201 @t733) @t486) (tptp.c_Groups_Oplus__class_Oplus @t32 (tptp.hAPP @t202 @t486) (tptp.hAPP @t751 @t486)))))) % 1.85/2.10 (assume @p643 (forall @t649 (=> @t723 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t31 @t733) @t30) (tptp.c_Groups_Oplus__class_Oplus @t31 @t603 @t648))))) % 1.85/2.10 (assume @p644 (forall (@list @t593 @t65 @t64 @t612 @t31) (=> @t753 (= (= (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t752 @t64) (tptp.hAPP @t232 @t593)) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t752 @t593) (tptp.hAPP @t232 @t64))) (or (= @t612 @t65) (= @t64 @t593)))))) % 1.85/2.10 (assume @p645 (forall (@list @t332 @t185 @t754 @t36 @t31) (=> (tptp.class_Rings_Osemiring @t31) (= (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t59 @t754) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t328 @t754) @t332)) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t755 @t754) @t332))))) % 1.85/2.10 (assume @p646 (forall (@list @t185 @t72 @t36 @t31) (=> @t40 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t756 (tptp.hAPP @t328 @t72)) (tptp.hAPP @t755 @t72))))) % 1.85/2.10 (assume @p647 (forall @t338 (=> @t40 @t757))) % 1.85/2.10 (assume @p648 (forall @t338 (=> (tptp.class_Rings_Ocomm__semiring @t31) @t757))) % 1.85/2.10 (assume @p649 (forall @t637 (=> @t753 (= (and (not @t172) (not @t655)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t248 (tptp.hAPP @t245 @t634)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t758 @t246))))))) % 1.85/2.10 (assume @p650 (forall @t539 (=> @t40 (= (tptp.hAPP @t353 (tptp.c_Groups_Oplus__class_Oplus @t31 @t88 @t511)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t380 (tptp.hAPP @t353 @t511)))))) % 1.85/2.10 (assume @p651 (forall @t63 (=> @t723 @t759))) % 1.85/2.10 (assume @p652 (forall @t63 (=> @t760 @t759))) % 1.85/2.10 (assume @p653 (forall @t484 (=> @t521 (= (= @t54 @t761) @t206)))) % 1.85/2.10 (assume @p654 (forall @t63 (=> @t723 @t762))) % 1.85/2.10 (assume @p655 (forall @t63 (=> @t760 @t762))) % 1.85/2.10 (assume @p656 (forall @t523 (=> @t753 (= (= @t66 @t739) @t206)))) % 1.85/2.10 (assume @p657 (forall @t63 (=> @t40 @t759))) % 1.85/2.10 (assume @p658 (forall @t63 (=> @t40 @t762))) % 1.85/2.10 (assume @p659 (forall @t249 (=> @t745 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t740 @t749) @t470)))) % 1.85/2.10 (assume @p660 (forall @t244 (=> @t745 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t738 @t748) @t470)))) % 1.85/2.10 (assume @p661 (forall @t338 (=> @t764 (=> @t368 @t763)))) % 1.85/2.10 (assume @p662 (forall @t338 (=> @t764 (=> @t368 @t765)))) % 1.85/2.10 (assume @p663 (forall @t351 (=> @t764 (=> @t368 @t767)))) % 1.85/2.10 (assume @p664 (forall @t375 (=> @t745 (=> @t763 @t368)))) % 1.85/2.10 (assume @p665 (forall @t378 (=> @t745 (=> @t765 @t368)))) % 1.85/2.10 (assume @p666 (forall @t484 (=> @t521 (= (= @t761 @t54) @t206)))) % 1.85/2.10 (assume @p667 (forall @t325 (=> @t768 (=> @t330 (=> @t327 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t721 @t54)))))) % 1.85/2.10 (assume @p668 (forall @t770 (=> @t768 (=> @t336 (=> @t345 @t769))))) % 1.85/2.10 (assume @p669 (forall @t338 (=> @t768 (=> @t296 (=> @t543 @t769))))) % 1.85/2.10 (assume @p670 (forall @t466 (=> @t768 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t65) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t64) (= @t773 @t772)))))) % 1.85/2.10 (assume @p671 (forall @t325 (=> @t768 (=> @t296 (=> @t291 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t721)))))) % 1.85/2.10 (assume @p672 (forall @t484 (=> @t521 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t761 @t54) @t317)))) % 1.85/2.10 (assume @p673 (forall @t484 (=> @t521 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t761) @t319)))) % 1.85/2.10 (assume @p674 (forall @t325 (=> @t768 (=> @t478 @t775)))) % 1.85/2.10 (assume @p675 (forall @t325 (=> @t768 (=> @t55 @t777)))) % 1.85/2.10 (assume @p676 (forall @t484 (=> @t521 @t778))) % 1.85/2.10 (assume @p677 (forall @t484 (=> @t521 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t761) @t493)))) % 1.85/2.10 (assume @p678 (forall @t338 (=> @t50 (=> @t55 @t780)))) % 1.85/2.10 (assume @p679 (forall @t484 (=> @t384 @t778))) % 1.85/2.10 (assume @p680 (forall @t351 (=> @t764 (=> @t290 @t767)))) % 1.85/2.10 (assume @p681 (forall @t351 (=> @t764 (=> @t368 (=> @t350 @t766))))) % 1.85/2.10 (assume @p682 (forall (@list @t347 @t332 @t185 @t36 @t486 @t31) (=> @t753 (=> (not (= @t486 @t54)) (=> (and @t295 (not (= @t332 @t347))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 (tptp.hAPP @t781 @t332)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t185 (tptp.hAPP @t781 @t347))))))))) % 1.85/2.10 (assume @p683 (forall @t466 (=> @t321 (= (= @t782 @t54) @t772)))) % 1.85/2.10 (assume @p684 (forall @t63 (=> @t50 (tptp.c_Orderings_Oord__class_Oless @t31 @t36 @t783)))) % 1.85/2.10 (assume @p685 (forall @t325 (=> @t520 (=> (= @t721 @t54) (= @t77 @t185))))) % 1.85/2.10 (assume @p686 (forall @t466 (=> @t520 (= @t773 (= @t64 @t467))))) % 1.85/2.10 (assume @p687 (forall @t63 (=> @t117 @t784))) % 1.85/2.10 (assume @p688 (forall @t63 (=> @t520 @t784))) % 1.85/2.10 (assume @p689 (forall @t322 (=> @t520 (= @t460 (= @t741 @t54))))) % 1.85/2.10 (assume @p690 (forall @t63 (=> @t520 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 @t77) @t54)))) % 1.85/2.10 (assume @p691 (forall (@list @t72 @t36 @t31) (=> @t40 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t756 @t72) @t785)))) % 1.85/2.10 (assume @p692 (forall (@list @t36 @t72 @t31) (=> @t40 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t72 @t756) @t785)))) % 1.85/2.10 (assume @p693 (forall (@list @t72 @t31) (=> @t40 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t72 @t72) (tptp.hAPP (tptp.hAPP @t58 @t786) @t72))))) % 1.85/2.10 (assume @p694 (forall @t792 (=> @t456 (= @t791 (= @t238 @t788))))) % 1.85/2.10 (assume @p695 (forall @t792 (=> @t456 (= @t791 (= @t793 @t634))))) % 1.85/2.10 (assume @p696 (forall @t798 (=> @t456 (= @t797 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t353 @t796) @t795))))) % 1.85/2.10 (assume @p697 (forall @t798 (=> @t566 (= @t797 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t794 @t796) @t795) (tptp.hAPP @t59 @t796)))))) % 1.85/2.10 (assume @p698 (forall @t385 (=> @t236 (= @t660 (tptp.c_Groups_Oplus__class_Oplus @t31 @t91 @t578))))) % 1.85/2.10 (assume @p699 (forall @t325 (=> @t520 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t36 @t453) @t721)))) % 1.85/2.10 (assume @p700 (forall @t325 (=> @t117 @t799))) % 1.85/2.10 (assume @p701 (forall @t325 (=> @t520 @t799))) % 1.85/2.10 (assume @p702 (forall (@list @t119 @t204 @t31) (=> @t723 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t437 @t120) (= @t800 @t120))))) % 1.85/2.10 (assume @p703 (forall @t440 (=> @t723 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t120 @t437) (= @t800 @t437))))) % 1.85/2.10 (assume @p704 (forall @t714 (=> @t723 (=> @t601 (=> @t713 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t800 @t30)))))) % 1.85/2.10 (assume @p705 (forall @t714 (=> @t723 (=> @t605 (=> @t715 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t800 @t30)))))) % 1.85/2.10 (assume @p706 (forall @t325 (=> @t768 (=> @t330 @t775)))) % 1.85/2.10 (assume @p707 (forall @t325 (=> @t768 (=> @t478 (=> @t327 @t774))))) % 1.85/2.10 (assume @p708 (forall @t338 (=> @t768 (=> @t296 @t780)))) % 1.85/2.10 (assume @p709 (forall @t338 (=> @t768 (=> @t55 (=> @t543 @t779))))) % 1.85/2.10 (assume @p710 (forall @t325 (=> @t768 (=> @t296 @t777)))) % 1.85/2.10 (assume @p711 (forall @t325 (=> @t768 (=> @t55 (=> @t291 @t776))))) % 1.85/2.10 (assume @p712 (forall @t466 (=> @t321 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t782 @t54) @t772)))) % 1.85/2.10 (assume @p713 (forall @t385 (=> @t315 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t54 @t801)))) % 1.85/2.10 (assume @p714 (forall @t466 (=> @t321 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t782) (or (not @t519) (not @t771)))))) % 1.85/2.10 (assume @p715 (forall @t385 (=> @t315 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t801 @t54))))) % 1.85/2.10 (assume @p716 (forall @t118 (=> @t50 (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t786)))) % 1.85/2.10 (assume @p717 (forall @t792 (=> @t331 (= @t802 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t793 @t634))))) % 1.85/2.10 (assume @p718 (forall @t792 (=> @t331 (= @t802 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t238 @t788))))) % 1.85/2.10 (assume @p719 (forall @t792 (=> @t331 (= @t803 (tptp.c_Orderings_Oord__class_Oless @t31 @t793 @t634))))) % 1.85/2.10 (assume @p720 (forall @t792 (=> @t331 (= @t803 (tptp.c_Orderings_Oord__class_Oless @t31 @t238 @t788))))) % 1.85/2.10 (assume @p721 (forall (@list @t708 @t153 @t31) (=> (and @t462 @t222) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t153 (tptp.hAPP (tptp.hAPP @t58 @t708) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t31 @t708 (tptp.c_Groups_Oplus__class_Oplus @t31 @t3 @t54)) @t804)))))) % 1.85/2.10 (assume @p722 (forall @t230 (=> @t78 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t584 @t34) (tptp.hAPP (tptp.hAPP @t58 (tptp.c_Groups_Oplus__class_Oplus @t31 @t91 @t34)) (tptp.c_Groups_Ominus__class_Ominus @t31 @t91 @t34)))))) % 1.85/2.10 (assume @p723 (forall (@list @t696 @t805 @t634 @t31) (=> (and @t313 @t462) (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t634 @t805) (forall (@list @t3 @t806) (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t634 (tptp.c_Groups_Oplus__class_Oplus @t31 @t3 @t696)) (tptp.c_Rings_Odvd__class_Odvd @t31 @t634 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Ominus__class_Ominus @t31 @t3 (tptp.hAPP (tptp.hAPP @t58 @t806) @t805)) @t696)))))))) % 1.85/2.10 (assume @p724 (forall (@list @t91 @t119 @t36 @t31) (=> @t203 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t200) @t91) (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 (tptp.hAPP @t353 @t312)))))) % 1.85/2.10 (assume @p725 (forall @t813 (=> (tptp.class_Rings_Olinordered__semiring__1 @t31) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t91 @t36) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t88 @t36) (=> @t812 (=> @t811 (=> @t810 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t809 @t36))))))))) % 1.85/2.10 (assume @p726 (forall @t813 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t31) (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t91 @t36) (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t88 @t36) (=> @t812 (=> @t811 (=> @t810 (tptp.c_Orderings_Oord__class_Oless @t31 @t809 @t36))))))))) % 1.85/2.10 (assume @p727 (forall (@list @t204 @t119 @t36 @t31) (=> @t203 (= (tptp.c_Polynomial_Opcompose @t31 @t200 @t204) (tptp.c_Groups_Oplus__class_Oplus @t32 @t61 (tptp.hAPP @t751 @t563)))))) % 1.85/2.10 (assume @p728 (forall @t385 (=> @t236 (= (tptp.c_Groups_Ominus__class_Ominus @t31 (tptp.hAPP @t92 @t488) (tptp.hAPP @t89 @t488)) (tptp.hAPP @t661 @t750))))) % 1.85/2.10 (assume @p729 (forall (@list @t814 @t168 @t64 @t65 @t31) (=> @t818 (= (tptp.c_Polynomial_Opdivmod__rel @t31 @t65 @t64 @t168 @t814) (and (= @t65 (tptp.c_Groups_Oplus__class_Oplus @t32 (tptp.hAPP (tptp.hAPP @t201 @t168) @t64) @t814)) (=> @t816 @t817) (=> (not @t816) (or @t815 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t31 @t814) (tptp.c_Polynomial_Odegree @t31 @t64))))))))) % 1.85/2.10 (assume @p730 (forall @t822 (and @t821 (=> (not @t820) (= @t819 @t590))))) % 1.85/2.10 (assume @p731 (forall (@list @t347 @t185 @t332 @t36 @t31) (=> @t117 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t725 @t724) (tptp.c_Groups_Oplus__class_Oplus @t31 @t615 (tptp.c_Groups_Ominus__class_Ominus @t31 @t332 @t347)))))) % 1.85/2.10 (assume @p732 (forall @t610 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t824) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t628 @t823)))) % 1.85/2.10 (assume @p733 (forall @t827 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t826 @t825) @t640))) % 1.85/2.10 (assume @p734 (forall @t392 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t829 @t828) @t640))) % 1.85/2.10 (assume @p735 (forall @t140 (= @t651 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t123 @t830)))) % 1.85/2.10 (assume @p736 (forall @t162 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t831 @t30) @t72))) % 1.85/2.10 (assume @p737 @t834) % 1.85/2.10 (assume @p738 (forall @t87 (= @t836 @t835))) % 1.85/2.10 (assume @p739 (forall @t87 (= @t837 @t835))) % 1.85/2.10 (assume @p740 (forall @t87 (= @t837 @t836))) % 1.85/2.10 (assume @p741 (forall (@list @t97 @t95) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t95 @t838) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t95 @t97)))) % 1.85/2.10 (assume @p742 (forall @t162 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t30 @t832))) % 1.85/2.10 (assume @p743 (forall @t162 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t30 @t831))) % 1.85/2.10 (assume @p744 (forall @t114 (= @t257 (exists @t840 (= @t97 @t839))))) % 1.85/2.10 (assume @p745 (forall @t110 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t842 @t841) @t257))) % 1.85/2.10 (assume @p746 (forall @t844 (=> @t279 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t123 @t843)))) % 1.85/2.10 (assume @p747 (forall @t844 (=> @t279 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t123 @t845)))) % 1.85/2.10 (assume @p748 (forall @t140 (=> @t279 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t846 @t830)))) % 1.85/2.10 (assume @p749 (forall @t282 (=> @t279 (=> @t281 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t846 @t847))))) % 1.85/2.10 (assume @p750 (forall @t827 (=> @t848 @t297))) % 1.85/2.10 (assume @p751 (forall @t827 (=> @t848 @t265))) % 1.85/2.10 (assume @p752 (forall @t827 (=> @t848 (not (=> @t265 (not @t297)))))) % 1.85/2.10 (assume @p753 (forall @t851 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t91 @t511) @t850))) % 1.85/2.10 (assume @p754 (forall @t514 (=> @t564 @t850))) % 1.85/2.10 (assume @p755 (forall (@list @t134 @t133 @t808 @t123) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t854 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t853 @t134)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t84 @t852) @t808) @t134)))) % 1.85/2.10 (assume @p756 (forall @t274 (= (tptp.hAPP (tptp.hAPP @t84 @t832) @t134) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t643 @t273)))) % 1.85/2.10 (assume @p757 (forall @t392 (= (tptp.hAPP @t135 @t832) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t391 @t390)))) % 1.85/2.10 (assume @p758 (forall @t87 (=> (= @t832 @t72) @t194))) % 1.85/2.10 (assume @p759 (forall @t114 (= (= @t855 @t7) (and @t112 @t111)))) % 1.85/2.10 (assume @p760 (forall @t115 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t7) @t72))) % 1.85/2.10 (assume @p761 (forall @t44 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t7 @t30) @t30))) % 1.85/2.10 (assume @p762 (forall (@list @t133 @t123) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t852 @t123)))) % 1.85/2.10 (assume @p763 (forall (@list @t123 @t133) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t856 @t123)))) % 1.85/2.10 (assume @p764 (forall @t110 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t842 @t841) @t145))) % 1.85/2.10 (assume @p765 (forall @t844 (=> @t139 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t123 @t843)))) % 1.85/2.10 (assume @p766 (forall @t844 (=> @t139 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t123 @t845)))) % 1.85/2.10 (assume @p767 (forall @t140 (=> @t139 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t846 @t830)))) % 1.85/2.10 (assume @p768 (forall @t282 (=> @t139 (=> @t857 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t846 @t847))))) % 1.85/2.10 (assume @p769 (forall (@list @t30 @t72 @t280 @t134) (=> @t857 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t280) @t828) @t73)))) % 1.85/2.10 (assume @p770 (forall @t140 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t852 @t134) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t123 @t134)))) % 1.85/2.10 (assume @p771 (forall @t630 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t590 @t511) @t511))) % 1.85/2.10 (assume @p772 (forall @t630 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t511 @t590) @t511))) % 1.85/2.10 (assume @p773 (forall @t706 (= (tptp.hAPP @t629 @t858) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t705 @t704)))) % 1.85/2.10 (assume @p774 (forall @t703 (= (tptp.hAPP (tptp.hAPP @t591 @t858) @t607) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t701 @t700)))) % 1.85/2.10 (assume @p775 (forall @t140 (=> @t619 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t123 @t134) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t133 @t134))))) % 1.85/2.10 (assume @p776 (forall @t140 (=> @t611 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t134 @t123) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t134 @t133))))) % 1.85/2.10 (assume @p777 (forall @t851 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t91 @t511) @t859))) % 1.85/2.10 (assume @p778 (forall @t514 (=> @t163 @t859))) % 1.85/2.10 (assume @p779 (forall @t867 (=> @t818 (=> @t866 (=> @t864 @t862))))) % 1.85/2.10 (assume @p780 (forall @t867 (=> @t818 (=> @t866 (=> @t864 @t868))))) % 1.85/2.10 (assume @p781 (forall @t867 (=> @t818 (=> @t866 (=> @t864 (and @t862 @t868)))))) % 1.85/2.10 (assume @p782 (forall @t230 (=> @t818 (tptp.c_Polynomial_Opdivmod__rel @t31 @t91 @t33 @t33 @t91)))) % 1.85/2.10 (assume @p783 (forall @t572 (=> @t818 (tptp.c_Polynomial_Opdivmod__rel @t31 @t33 @t88 @t33 @t33)))) % 1.85/2.10 (assume @p784 (forall (@list @t814 @t168 @t65 @t31) (=> @t818 (= (tptp.c_Polynomial_Opdivmod__rel @t31 @t65 @t33 @t168 @t814) (and @t817 (= @t814 @t65)))))) % 1.85/2.10 (assume @p785 (forall (@list @t814 @t168 @t64 @t31) (=> @t818 (= (tptp.c_Polynomial_Opdivmod__rel @t31 @t33 @t64 @t168 @t814) (and @t817 @t815))))) % 1.85/2.10 (assume @p786 (forall @t436 (=> @t40 (= (tptp.hAPP (tptp.hAPP @t58 @t435) @t352) (tptp.hAPP @t92 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t119 @t204)))))) % 1.85/2.10 (assume @p787 (forall @t75 (=> @t116 (= (tptp.hAPP @t46 @t832) (tptp.hAPP (tptp.hAPP @t58 @t74) @t47))))) % 1.85/2.10 (assume @p788 (forall @t114 (= (= @t855 @t250) @t869))) % 1.85/2.10 (assume @p789 (forall @t114 (= (= @t250 @t855) @t869))) % 1.85/2.10 (assume @p790 (forall @t114 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t855) (or @t150 @t149)))) % 1.85/2.10 (assume @p791 (forall @t166 (=> @t695 (=> @t718 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t91 @t88)))))) % 1.85/2.10 (assume @p792 (forall @t114 (= @t145 (exists @t840 (= @t97 (tptp.c_Nat_OSuc @t839)))))) % 1.85/2.10 (assume @p793 (forall @t870 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t123 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t123))))) % 1.85/2.10 (assume @p794 (forall @t870 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t123 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t123 @t72))))) % 1.85/2.10 (assume @p795 (forall @t630 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t871 @t511) @t590)))) % 1.85/2.10 (assume @p796 (forall (@list @t511 @t873 @t607 @t874) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t874 @t607) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t873 @t511) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t874 @t873) @t872))))) % 1.85/2.10 (assume @p797 (forall @t162 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t831) @t7))) % 1.85/2.10 (assume @p798 (forall @t87 (= (tptp.hAPP @t85 @t251) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t86)))) % 1.85/2.10 (assume @p799 (forall @t87 (= (tptp.hAPP (tptp.hAPP @t84 @t252) @t30) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 @t86)))) % 1.85/2.10 (assume @p800 (forall @t711 (= @t875 (or @t710 (= @t612 @t593))))) % 1.85/2.10 (assume @p801 @t879) % 1.85/2.10 (assume @p802 (forall @t884 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t881 @t883) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t882 @t880)))) % 1.85/2.10 (assume @p803 (forall @t44 (= @t251 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t83 @t30)))) % 1.85/2.10 (assume @p804 (forall @t44 (= @t251 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 @t83)))) % 1.85/2.10 (assume @p805 (forall @t630 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t628 @t511) @t590))) % 1.85/2.10 (assume @p806 (forall @t889 (=> @t888 (= @t887 @t886)))) % 1.85/2.10 (assume @p807 (forall @t889 (=> @t888 (= @t886 @t887)))) % 1.85/2.10 (assume @p808 (forall @t889 (=> @t888 (= @t891 @t890)))) % 1.85/2.10 (assume @p809 (forall @t884 (=> @t893 (= (= @t892 @t95) (= @t880 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t95 @t881)))))) % 1.85/2.10 (assume @p810 (forall @t162 (=> @t264 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t640 @t30) @t72)))) % 1.85/2.10 (assume @p811 (forall (@list @t881 @t880 @t95) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t95 @t880) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t881 @t883) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t882 @t880))))) % 1.85/2.10 (assume @p812 (forall @t889 (=> @t888 (= @t890 @t891)))) % 1.85/2.10 (assume @p813 (forall @t162 (=> @t264 @t877))) % 1.85/2.10 (assume @p814 (forall (@list @t72 @t30 @t134) (=> @t297 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t72 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t831 @t134))))) % 1.85/2.10 (assume @p815 (forall (@list @t881 @t95 @t880) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t883 @t881) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t880 @t882)))) % 1.85/2.10 (assume @p816 (forall @t889 (=> @t888 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t123 @t885) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t846 @t133))))) % 1.85/2.10 (assume @p817 (forall (@list @t98 @t97 @t95) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t95 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t97 @t698)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t95 @t97)))) % 1.85/2.10 (assume @p818 (forall (@list @t238 @t696 @t65 @t634 @t171) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t171 @t634) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t171 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t65 @t696)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t171 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t65 (tptp.hAPP (tptp.hAPP @t591 @t238) @t634)) @t696)))))) % 1.85/2.10 (assume @p819 (forall @t610 (= @t895 @t894))) % 1.85/2.10 (assume @p820 (forall @t610 (= @t894 @t895))) % 1.85/2.10 (assume @p821 (forall @t514 (= (tptp.hAPP @t576 @t849) (tptp.hAPP (tptp.hAPP @t591 @t577) (tptp.hAPP @t576 @t511))))) % 1.85/2.10 (assume @p822 (forall @t904 (= @t903 (not (or (and @t902 @t901) (exists @t899 (and @t898 (not @t897)))))))) % 1.85/2.10 (assume @p823 (forall @t904 (= @t903 (and (=> @t902 @t900) (forall @t899 (=> @t898 @t897)))))) % 1.85/2.10 (assume @p824 (forall @t614 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t613 @t593) @t593) @t590) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t593 @t590)))) % 1.85/2.10 (assume @p825 (forall @t711 (= @t875 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t612 @t593)))) % 1.85/2.10 (assume @p826 (forall @t711 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t612 @t613) @t593) @t710))) % 1.85/2.10 (assume @p827 (forall (@list @t511 @t607) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t607 @t511) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t607 @t613) @t511)))) % 1.85/2.10 (assume @p828 (forall @t907 (=> @t888 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t906) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t826 @t905))))) % 1.85/2.10 (assume @p829 (forall @t907 (=> @t888 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t906 @t72) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t905 @t829))))) % 1.85/2.10 (assume @p830 (forall @t913 (=> @t893 (= @t912 (= @t98 @t909))))) % 1.85/2.10 (assume @p831 (forall (@list @t30 @t72 @t808 @t133 @t123) (=> @t279 (= @t914 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t84 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t133 @t123)) @t808) @t30)))))) % 1.85/2.10 (assume @p832 (forall @t913 (=> @t893 (= @t915 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t909))))) % 1.85/2.10 (assume @p833 (forall @t918 (=> @t917 (= @t912 (= @t916 @t97))))) % 1.85/2.10 (assume @p834 (forall (@list @t30 @t72 @t808 @t123 @t133) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t133 @t123) (= @t914 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t84 @t650) @t808) @t72) @t30))))) % 1.85/2.10 (assume @p835 (forall @t918 (=> @t917 (= @t915 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t916 @t97))))) % 1.85/2.10 (assume @p836 (forall (@list @t919 @t921 @t511 @t486 @t204 @t88 @t91 @t31) (=> @t818 (=> @t923 (=> (tptp.c_Polynomial_Opdivmod__rel @t31 @t204 @t511 @t921 @t919) (tptp.c_Polynomial_Opdivmod__rel @t31 @t91 @t922 @t921 (tptp.c_Groups_Oplus__class_Oplus @t32 (tptp.hAPP @t920 @t919) @t486))))))) % 1.85/2.10 (assume @p837 (forall @t440 (=> @t203 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t925 @t924)))) % 1.85/2.10 (assume @p838 @t930) % 1.85/2.10 (assume @p839 (forall (@list @t30 @t185 @t72 @t36 @t31) (=> @t203 (= (tptp.hAPP (tptp.hAPP @t201 @t682) @t616) (tptp.c_Polynomial_Omonom @t31 @t189 @t832))))) % 1.85/2.10 (assume @p840 (forall @t630 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t511) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t871)))) % 1.85/2.10 (assume @p841 (forall @t87 (and (=> @t82 (= @t832 @t30)) (=> @t691 (= @t832 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t680 @t30))))))) % 1.85/2.10 (assume @p842 (forall @t913 (=> @t893 (= @t931 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t98 @t909))))) % 1.85/2.10 (assume @p843 (forall @t918 (=> @t917 (= @t931 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t916 @t97))))) % 1.85/2.10 (assume @p844 (forall @t87 (and (=> @t82 (= @t86 @t7)) (=> @t691 (= @t86 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t30 (tptp.hAPP (tptp.hAPP @t84 @t680) @t30))))))) % 1.85/2.10 (assume @p845 (forall @t440 (=> @t203 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t31 @t401) @t924) (tptp.hAPP (tptp.hAPP @t58 @t685) @t684))))) % 1.85/2.10 (assume @p846 (forall @t166 (=> @t695 (=> @t718 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t819))))) % 1.85/2.10 (assume @p847 (forall @t822 @t821)) % 1.85/2.10 (assume @p848 (forall @t935 (=> @t934 (=> @t933 (=> @t932 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t204 @t613)))))) % 1.85/2.10 (assume @p849 (forall @t935 (=> @t934 (=> @t933 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t486 @t36) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t613 @t204)))))) % 1.85/2.10 (assume @p850 (forall @t625 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t858 @t620) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t623 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t621 @t620))))) % 1.85/2.10 (assume @p851 (forall @t514 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t91 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t88 @t511)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t88 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t91 @t511))))) % 1.85/2.10 (assume @p852 (forall @t610 (= @t824 @t872))) % 1.85/2.10 (assume @p853 (forall @t105 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t95) @t838) @t99))) % 1.85/2.10 (assume @p854 (forall @t110 (= (= @t842 @t841) @t99))) % 1.85/2.10 (assume @p855 (forall @t274 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t832 @t134) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t72 @t825)))) % 1.85/2.10 (assume @p856 (forall @t514 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t91 @t849) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t88 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t91 @t511))))) % 1.85/2.10 (assume @p857 (forall @t87 (= @t832 @t831))) % 1.85/2.10 (assume @p858 (forall @t946 (=> @t945 (=> @t942 (=> @t940 (=> @t939 (=> @t938 (=> @t937 @t936)))))))) % 1.85/2.10 (assume @p859 (forall @t949 (=> @t948 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t486 @t590) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t185 @t486) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t185 @t919) @t947)))))) % 1.85/2.10 (assume @p860 (forall @t946 (=> @t945 (=> @t951 (=> @t950 (=> @t932 (=> @t938 (=> @t937 @t947)))))))) % 1.85/2.10 (assume @p861 (forall @t949 (=> @t948 (=> @t939 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t919 @t185) (=> @t940 @t936)))))) % 1.85/2.10 (assume @p862 (forall @t952 (=> @t942 (=> @t939 (=> @t938 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t921 @t590)))))) % 1.85/2.10 (assume @p863 (forall @t952 (=> @t951 (=> @t950 (=> @t938 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t921)))))) % 1.85/2.10 (assume @p864 (forall @t709 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t95 @t708) (exists @t654 (= @t708 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t95 @t652)))))) % 1.85/2.10 (assume @p865 (forall (@list @t134 @t72) (=> @t388 (=> @t618 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t953 @t72) @t134) (tptp.hAPP @t953 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t250))))))) % 1.85/2.10 (assume @p866 (forall (@list @t88 @t91 @t511 @t31) (=> @t954 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t511 @t91) (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t511 @t88) (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t750 @t511) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Divides_Odiv__class_Odiv @t31 @t91 @t511) (tptp.c_Divides_Odiv__class_Odiv @t31 @t88 @t511)))))))) % 1.85/2.10 (assume @p867 (forall @t537 (=> @t958 (=> @t957 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t235 @t88) @t956))))) % 1.85/2.10 (assume @p868 (forall @t537 (=> @t958 (=> @t957 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t91 @t578) @t956))))) % 1.85/2.10 (assume @p869 (forall @t503 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t36 @t960) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t959 @t185)))) % 1.85/2.10 (assume @p870 (forall @t503 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t959 @t960) @t961))) % 1.85/2.10 (assume @p871 (forall @t225 (=> (not (= @t36 @t590)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t36 @t36) @t613)))) % 1.85/2.10 (assume @p872 (forall @t63 (=> @t954 (=> @t181 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t36 @t36) @t34))))) % 1.85/2.10 (assume @p873 (forall @t63 (=> @t954 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t36 @t34) @t36)))) % 1.85/2.10 (assume @p874 (forall (@list @t30 @t91 @t88 @t31) (=> @t954 (=> @t957 (= (tptp.hAPP (tptp.hAPP @t45 @t955) @t30) (tptp.c_Divides_Odiv__class_Odiv @t31 @t93 @t90)))))) % 1.85/2.10 (assume @p875 (forall @t742 (=> @t954 (=> @t237 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t171 @t238) (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t962 (tptp.c_Divides_Odiv__class_Odiv @t31 @t238 @t171)) (tptp.c_Rings_Odvd__class_Odvd @t31 @t66 @t238))))))) % 1.85/2.10 (assume @p876 (forall @t162 (=> @t588 (= (tptp.hAPP (tptp.hAPP @t591 @t30) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t72 @t30)) @t72)))) % 1.85/2.10 (assume @p877 (forall @t378 (=> @t954 @t967))) % 1.85/2.10 (assume @p878 (forall @t378 (=> @t954 (=> @t966 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t334 @t333) @t963))))) % 1.85/2.10 (assume @p879 @t971) % 1.85/2.10 (assume @p880 (forall @t477 (=> @t954 (=> @t446 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t189 @t185) @t36))))) % 1.85/2.10 (assume @p881 (forall @t378 (=> @t954 (and (=> @t965 (= @t964 @t54)) @t967)))) % 1.85/2.10 (assume @p882 (forall @t63 (=> @t954 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t36 @t54) @t54)))) % 1.85/2.10 (assume @p883 (forall @t63 (=> @t954 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t54 @t36) @t54)))) % 1.85/2.10 (assume @p884 (forall (@list @t185) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t590 @t185) @t590))) % 1.85/2.10 (assume @p885 (forall @t325 (=> @t954 (=> @t433 (= (tptp.hAPP @t59 @t972) @t185))))) % 1.85/2.10 (assume @p886 (forall @t770 (=> @t954 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t332 @t185) (= (tptp.hAPP @t59 (tptp.c_Divides_Odiv__class_Odiv @t31 @t185 @t332)) (tptp.c_Divides_Odiv__class_Odiv @t31 @t189 @t332)))))) % 1.85/2.10 (assume @p887 (forall @t325 (=> @t954 (=> @t433 (= (tptp.hAPP @t973 @t36) @t185))))) % 1.85/2.10 (assume @p888 (forall @t338 (=> @t954 (=> @t433 (= (tptp.hAPP @t973 @t332) (tptp.c_Divides_Odiv__class_Odiv @t31 @t333 @t36)))))) % 1.85/2.10 (assume @p889 (forall (@list @t607 @t511 @t91 @t88 @t31) (=> @t954 (=> @t957 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t511 @t607) (= (tptp.hAPP (tptp.hAPP @t58 @t955) (tptp.c_Divides_Odiv__class_Odiv @t31 @t607 @t511)) (tptp.c_Divides_Odiv__class_Odiv @t31 (tptp.hAPP @t353 @t607) (tptp.hAPP @t386 @t511)))))))) % 1.85/2.10 (assume @p890 (forall @t503 (=> @t975 (=> @t974 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t961 @t590))))) % 1.85/2.10 (assume @p891 (forall @t979 (=> @t978 (= @t977 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t171))))) % 1.85/2.10 (assume @p892 (forall @t979 (=> @t980 (= @t977 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t171 @t590))))) % 1.85/2.10 (assume @p893 (forall @t166 (=> @t695 (=> @t718 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t91 @t88)))))) % 1.85/2.10 (assume @p894 (forall @t984 (=> @t983 (=> @t982 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t981 @t961))))) % 1.85/2.10 (assume @p895 (forall @t984 (=> @t983 (=> @t974 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t961 @t981))))) % 1.85/2.10 (assume @p896 (forall @t503 (=> @t986 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t185 @t36) @t985)))) % 1.85/2.10 (assume @p897 (forall @t988 (=> @t975 (=> @t938 (=> @t937 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t987 @t961)))))) % 1.85/2.10 (assume @p898 (forall @t503 (=> @t986 (=> @t974 @t989)))) % 1.85/2.10 (assume @p899 (forall @t979 (=> @t978 (= @t990 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t171 @t590))))) % 1.85/2.10 (assume @p900 (forall @t503 (=> @t991 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t36 @t185) @t985)))) % 1.85/2.10 (assume @p901 (forall @t503 (=> @t991 (=> @t982 @t989)))) % 1.85/2.10 (assume @p902 (forall @t988 (=> @t991 (=> @t938 (=> @t937 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t961 @t987)))))) % 1.85/2.10 (assume @p903 (forall (@list @t66 @t171) (=> @t992 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t976) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t66 @t171) @t980))))) % 1.85/2.10 (assume @p904 (forall (@list @t881 @t95) (=> @t994 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t993) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t95 @t881))))) % 1.85/2.10 (assume @p905 (forall @t979 (=> @t980 (= @t990 @t992)))) % 1.85/2.10 (assume @p906 (forall (@list @t95 @t881) (= (= @t993 @t590) (or @t699 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t881) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t881 @t95)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t881 @t590) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t95 @t881)))))) % 1.85/2.10 (assume @p907 (forall (@list @t134 @t91) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t91) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t613 @t134) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t91 @t134) @t91))))) % 1.85/2.10 (assume @p908 (forall (@list @t185 @t36 @t332) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t590 @t332) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t36 (tptp.hAPP @t943 @t332)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t961 @t332))))) % 1.85/2.10 (assume @p909 (forall @t346 (=> @t954 (=> @t446 (= (tptp.c_Divides_Odiv__class_Odiv @t31 (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 @t340) @t185) @t995))))) % 1.85/2.10 (assume @p910 (forall @t346 (=> @t954 (=> @t446 (= (tptp.c_Divides_Odiv__class_Odiv @t31 (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 @t333) @t185) @t995))))) % 1.85/2.10 (assume @p911 (forall @t477 (=> @t954 (=> @t446 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t721 @t185) @t996))))) % 1.85/2.10 (assume @p912 (forall @t477 (=> @t954 (=> @t446 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t734 @t185) @t996))))) % 1.85/2.10 (assume @p913 (forall @t742 (=> @t954 (=> @t997 (=> @t237 (= (= @t962 @t238) (= @t66 @t243))))))) % 1.85/2.10 (assume @p914 (forall (@list @t634 @t66 @t238 @t171 @t31) (=> @t954 (=> @t997 (=> (not @t239) (=> @t237 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t238 @t634) (= (= @t962 (tptp.c_Divides_Odiv__class_Odiv @t31 @t634 @t238)) (= @t246 @t758))))))))) % 1.85/2.10 (assume @p915 (forall @t1004 (= (tptp.hBOOL @t1003) (and (=> @t699 (tptp.hBOOL (tptp.hAPP @t153 @t590))) (=> @t994 (forall @t720 (=> (exists @t394 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t393) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t393 @t95) @t1000)) @t999))) (=> @t1002 (forall @t720 (=> (exists @t394 @t1001) @t999))))))) % 1.85/2.10 (assume @p916 (forall (@list @t1007 @t88 @t1005 @t1006) (=> (= @t1006 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t591 @t1005) @t88) @t1007)) (=> (and (=> @t1008 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t590 @t1007) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1007 @t1005))) (=> (not @t1008) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1005 @t1007) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1007 @t590)))) (=> (not (= @t1005 @t590)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1006 @t1005) @t88)))))) % 1.85/2.10 (assume @p917 (forall (@list @t134 @t280) (and (=> @t1010 (= @t1009 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t134 @t280))) (=> (not @t1010) (= @t1009 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t134 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t280)))))))) % 1.85/2.11 (assume @p918 (forall @t230 (=> @t384 (and (=> @t1013 (= @t1011 @t33)) (=> (not @t1013) (and (=> @t1012 (= @t1011 @t151)) (=> (not @t1012) (= @t1011 (tptp.c_Groups_Ouminus__class_Ouminus @t32 @t151))))))))) % 1.85/2.11 (assume @p919 (forall @t274 (=> @t388 (=> @t265 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t134 @t30) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t134 @t72)))))) % 1.85/2.11 (assume @p920 (forall @t162 (=> @t48 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t86 @t30) @t72)))) % 1.85/2.11 (assume @p921 (forall @t162 (=> @t48 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t263 @t30) @t72)))) % 1.85/2.11 (assume @p922 (forall @t162 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t83 @t30) (=> @t388 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1014 @t72))))) % 1.85/2.11 (assume @p923 (forall @t115 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t72 @t250) @t72))) % 1.85/2.11 (assume @p924 (forall @t509 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t36 (tptp.hAPP (tptp.hAPP @t84 @t185) @t332)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t36 @t185) @t332)))) % 1.85/2.11 (assume @p925 (forall @t87 @t1015)) % 1.85/2.11 (assume @p926 (forall @t87 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1014 @t72))) % 1.85/2.11 (assume @p927 (forall @t274 (=> @t265 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t72 @t134) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t30 @t134))))) % 1.85/2.11 (assume @p928 (forall @t392 (=> @t138 @t1017))) % 1.85/2.11 (assume @p929 (forall @t539 (=> @t818 (= (tptp.c_Divides_Odiv__class_Odiv @t32 @t91 @t922) (tptp.c_Divides_Odiv__class_Odiv @t32 @t1018 @t511))))) % 1.85/2.11 (assume @p930 (forall @t385 (=> @t818 (= (tptp.c_Divides_Odiv__class_Odiv @t32 @t1020 @t88) @t1019)))) % 1.85/2.11 (assume @p931 (forall @t385 (=> @t818 (= (tptp.c_Divides_Odiv__class_Odiv @t32 @t91 @t1021) @t1019)))) % 1.85/2.11 (assume @p932 (forall @t392 (and (=> @t1022 (= @t1016 @t7)) (=> (not @t1022) @t1017)))) % 1.85/2.11 (assume @p933 (forall (@list @t486 @t204 @t88 @t91 @t31) (=> @t818 (=> @t923 (= @t1018 @t204))))) % 1.85/2.11 (assume @p934 (forall @t230 (=> @t1024 (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t235) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t1023))))) % 1.85/2.11 (assume @p935 (forall @t118 (=> (tptp.class_RealVector_Oreal__normed__algebra__1 @t31) (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t34) @t34)))) % 1.85/2.11 (assume @p936 (forall @t63 (=> @t384 (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t1025) @t1025)))) % 1.85/2.11 (assume @p937 (forall @t385 (=> (tptp.class_RealVector_Oreal__normed__div__algebra @t31) (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t380) (tptp.hAPP (tptp.hAPP @t58 @t1023) (tptp.c_Groups_Osgn__class_Osgn @t31 @t88)))))) % 1.85/2.11 (assume @p938 (forall @t118 (=> @t1024 @t1026))) % 1.85/2.11 (assume @p939 (forall @t234 (=> @t1024 (= (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t65) @t54) @t519)))) % 1.85/2.11 (assume @p940 (forall @t118 (=> @t1027 @t1026))) % 1.85/2.11 (assume @p941 (forall @t484 (=> @t384 (= (= @t1028 @t54) @t206)))) % 1.85/2.11 (assume @p942 (forall @t325 (=> @t384 (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t189) (tptp.hAPP (tptp.hAPP @t58 @t1025) (tptp.c_Groups_Osgn__class_Osgn @t31 @t185)))))) % 1.85/2.11 (assume @p943 (forall @t484 (=> @t384 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t54 @t1028) @t493)))) % 1.85/2.11 (assume @p944 (forall @t484 (=> @t384 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t1028 @t54) @t482)))) % 1.85/2.11 (assume @p945 (forall @t385 (=> @t818 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t31 @t91) (tptp.c_Polynomial_Odegree @t31 @t88)) (= @t1018 @t33))))) % 1.85/2.11 (assume @p946 (forall @t63 (=> @t384 (=> @t55 (= @t1025 @t34))))) % 1.85/2.11 (assume @p947 (forall @t484 (=> @t384 (= (= @t1028 @t34) @t493)))) % 1.85/2.11 (assume @p948 (forall @t162 (=> @t48 (and @t1015 @t1030)))) % 1.85/2.11 (assume @p949 (forall @t162 (=> @t48 @t1030))) % 1.85/2.11 (assume @p950 (forall @t1004 (= (tptp.hBOOL (tptp.hAPP @t153 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t97 @t95))) (and (=> @t96 @t900) (=> (not @t96) (forall @t1031 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t393 @t95) (=> (= @t97 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t106 @t719) @t393)) @t999)))))))) % 1.85/2.11 (assume @p951 (forall (@list @t98 @t168 @t97) (=> @t149 (= (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t101 @t168) @t98) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t98 (tptp.hAPP @t101 (tptp.c_Nat_OSuc @t168)))) (= @t168 @t1032))))) % 1.85/2.11 (assume @p952 (forall (@list @t97 @t98 @t153) (= (tptp.hBOOL (tptp.hAPP @t153 @t1032)) (or (and @t111 @t900) (exists (@list @t227) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t101 @t227) @t98) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t98 (tptp.hAPP @t101 (tptp.c_Nat_OSuc @t227))) (tptp.hBOOL (tptp.hAPP @t153 @t227)))))))) % 1.85/2.11 (assume @p953 (forall @t162 (=> @t48 (=> @t264 @t1029)))) % 1.85/2.11 (assume @p954 (forall @t230 (=> @t1027 (and (=> @t1034 (= @t1023 @t54)) (=> (not @t1034) (and (=> @t1033 (= @t1023 @t34)) (=> (not @t1033) (= @t1023 @t76)))))))) % 1.85/2.11 (assume @p955 (forall @t63 (=> @t384 (=> @t478 (= @t1025 @t76))))) % 1.85/2.11 (assume @p956 (forall @t484 (=> @t384 (= (= @t1028 @t76) @t482)))) % 1.85/2.11 (assume @p957 (forall @t1038 (=> @t1037 (=> (forall @t6 (=> @t804 (tptp.hBOOL (tptp.hAPP @t153 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t634))))) (=> @t1036 (forall @t6 (=> @t804 (tptp.hBOOL (tptp.hAPP @t153 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t1035)))))))))) % 1.85/2.11 (assume @p958 (forall @t1038 (=> @t1037 (=> (forall @t6 (=> @t804 (tptp.hBOOL (tptp.hAPP @t153 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t634))))) (=> @t1036 (forall @t6 (=> @t804 (tptp.hBOOL (tptp.hAPP @t153 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t1035)))))))))) % 1.85/2.11 (assume @p959 (forall (@list @t123) (and (=> @t1041 (= @t1039 @t590)) (=> (not @t1041) (and (=> @t1040 (= @t1039 @t613)) (=> (not @t1040) (= @t1039 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t613)))))))) % 1.85/2.11 (assume @p960 (forall @t385 (=> @t818 (and (=> @t1044 (= @t1043 @t54)) (=> @t1045 (= @t1043 @t34)))))) % 1.85/2.11 (assume @p961 (forall (@list @t97 @t153) (=> @t901 (=> (tptp.hBOOL @t154) (exists @t840 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t806 @t97) (forall @t720 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t719 @t806) (not @t999))) (tptp.hBOOL (tptp.hAPP @t153 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t806 @t83))))))))) % 1.85/2.11 (assume @p962 (forall @t385 (=> @t818 (tptp.c_Rings_Odvd__class_Odvd @t32 @t1042 @t88)))) % 1.85/2.11 (assume @p963 (forall @t385 (=> @t818 (tptp.c_Rings_Odvd__class_Odvd @t32 @t1042 @t91)))) % 1.85/2.11 (assume @p964 (forall (@list @t88 @t91 @t134 @t31) (=> @t818 (=> (tptp.c_Rings_Odvd__class_Odvd @t32 @t134 @t91) (=> (tptp.c_Rings_Odvd__class_Odvd @t32 @t134 @t88) (tptp.c_Rings_Odvd__class_Odvd @t32 @t134 @t1042)))))) % 1.85/2.11 (assume @p965 (forall (@list @t64 @t65 @t95 @t31) (=> @t818 (= (tptp.c_Rings_Odvd__class_Odvd @t32 @t95 @t1046) (and (tptp.c_Rings_Odvd__class_Odvd @t32 @t95 @t65) (tptp.c_Rings_Odvd__class_Odvd @t32 @t95 @t64)))))) % 1.85/2.11 (assume @p966 (forall @t385 (=> @t818 (= (tptp.c_Polynomial_Opoly__gcd @t31 @t91 @t1021) @t1042)))) % 1.85/2.11 (assume @p967 (forall @t385 (=> @t818 (= (tptp.c_Polynomial_Opoly__gcd @t31 @t1020 @t88) @t1042)))) % 1.85/2.11 (assume @p968 (forall @t338 (=> @t818 (= (tptp.c_Polynomial_Opoly__gcd @t31 @t1048 @t332) @t1047)))) % 1.85/2.11 (assume @p969 (forall @t346 (=> @t818 (= (tptp.c_Polynomial_Opoly__gcd @t31 @t185 (tptp.c_Polynomial_Opoly__gcd @t31 @t36 @t332)) @t1047)))) % 1.85/2.11 (assume @p970 (forall @t325 (=> @t818 (= @t1048 (tptp.c_Polynomial_Opoly__gcd @t31 @t185 @t36))))) % 1.85/2.11 (assume @p971 (forall @t118 (=> @t818 (= (tptp.c_Polynomial_Opoly__gcd @t31 @t33 @t33) @t33)))) % 1.85/2.11 (assume @p972 (forall @t466 (=> @t818 (= (= @t1046 @t33) (and (= @t65 @t33) @t816))))) % 1.85/2.11 (assume @p973 (forall @t572 (=> @t818 (= (tptp.c_Polynomial_Opoly__gcd @t31 @t151 @t88) @t151)))) % 1.85/2.11 (assume @p974 (forall @t230 (=> @t818 (= (tptp.c_Polynomial_Opoly__gcd @t31 @t91 @t151) @t151)))) % 1.85/2.11 (assume @p975 (forall (@list @t88 @t91 @t347 @t31) (=> @t818 (=> (tptp.c_Rings_Odvd__class_Odvd @t32 @t347 @t91) (=> (tptp.c_Rings_Odvd__class_Odvd @t32 @t347 @t88) (=> (forall @t840 (=> (tptp.c_Rings_Odvd__class_Odvd @t32 @t806 @t91) (=> (tptp.c_Rings_Odvd__class_Odvd @t32 @t806 @t88) (tptp.c_Rings_Odvd__class_Odvd @t32 @t806 @t347)))) (=> (and (=> @t1044 (= @t1049 @t54)) (=> @t1045 (= @t1049 @t34))) (= @t1042 @t347)))))))) % 1.85/2.11 (assume @p976 (forall (@list @t97 @t153 @t95) (=> @t1002 (= (tptp.hBOOL (tptp.hAPP @t1003 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t97 @t95))) (forall @t1031 (=> @t1001 (tptp.hBOOL (tptp.hAPP @t998 @t393)))))))) % 1.85/2.11 (assume @p977 (forall @t503 (and (=> @t1052 (= @t1051 @t590)) (=> @t1053 (= @t1051 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t185 @t1050)))))) % 1.85/2.11 (assume @p978 (forall @t503 (and (=> @t1052 (= @t1054 @t590)) (=> @t1053 (= @t1054 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t1050 @t185)))))) % 1.85/2.11 (assume @p979 (forall @t325 (=> @t954 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t721 @t185) @t1055)))) % 1.85/2.11 (assume @p980 (forall @t477 (=> @t954 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t734 @t185) @t1055)))) % 1.85/2.11 (assume @p981 (forall @t338 (=> @t954 (= (tptp.c_Divides_Odiv__class_Omod @t31 @t721 @t332) (tptp.c_Divides_Odiv__class_Omod @t31 (tptp.c_Groups_Oplus__class_Oplus @t31 @t36 (tptp.c_Divides_Odiv__class_Omod @t31 @t185 @t332)) @t332))))) % 1.85/2.11 (assume @p982 (forall @t1059 (=> @t1058 (tptp.class_Groups_Ocancel__comm__monoid__add @t1057)))) % 1.85/2.11 (assume @p983 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p984 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p985 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p986 (forall @t1062 (=> (tptp.class_Lattices_Oboolean__algebra @t1056) (tptp.class_Lattices_Oboolean__algebra @t1061)))) % 1.85/2.11 (assume @p987 (forall @t1062 (=> (tptp.class_Orderings_Opreorder @t1056) (tptp.class_Orderings_Opreorder @t1061)))) % 1.85/2.11 (assume @p988 (forall @t1062 (=> (tptp.class_Orderings_Oorder @t1056) (tptp.class_Orderings_Oorder @t1061)))) % 1.85/2.11 (assume @p989 (forall @t1062 (=> (tptp.class_Orderings_Oord @t1056) (tptp.class_Orderings_Oord @t1061)))) % 1.85/2.11 (assume @p990 (forall @t1062 (=> (tptp.class_Groups_Ouminus @t1056) (tptp.class_Groups_Ouminus @t1061)))) % 1.85/2.11 (assume @p991 (forall @t1062 (=> (tptp.class_Groups_Ominus @t1056) (tptp.class_Groups_Ominus @t1061)))) % 1.85/2.11 (assume @p992 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p993 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p994 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p995 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p996 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p997 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p998 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p999 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1000 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1001 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1002 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1003 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1004 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1005 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1006 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1007 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1008 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1009 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1010 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1011 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1012 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1013 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1014 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1015 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1016 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1017 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1018 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1019 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1020 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1021 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1022 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1023 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1024 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1025 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1026 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1027 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1028 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1029 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1030 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1031 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1032 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1033 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1034 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1035 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1036 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1037 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1038 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1039 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1040 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1041 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1042 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1043 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1044 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1045 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1046 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1047 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1048 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1049 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1050 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.85/2.11 (assume @p1051 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1052 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1053 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1054 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1055 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1056 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1057 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1058 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1059 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1060 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1061 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1062 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1063 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1064 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1065 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1066 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1067 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1068 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1069 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1070 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1071 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1072 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1073 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1074 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1075 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1076 @t1063) % 1.85/2.11 (assume @p1077 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1078 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1079 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1080 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1081 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1082 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1083 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1084 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1085 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1086 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1087 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1088 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.85/2.11 (assume @p1089 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.85/2.11 (assume @p1090 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.85/2.11 (assume @p1091 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.85/2.11 (assume @p1092 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.85/2.11 (assume @p1093 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.85/2.11 (assume @p1094 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.85/2.11 (assume @p1095 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1096 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1097 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1098 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1099 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1100 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1101 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1102 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1103 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1104 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1105 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1106 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1107 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1108 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1109 @t1064) % 1.85/2.11 (assume @p1110 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1111 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1112 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1113 @t1065) % 1.85/2.11 (assume @p1114 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1115 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1116 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1117 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1118 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1119 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1120 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1121 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1122 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1123 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1124 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1125 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1126 @t1066) % 1.85/2.11 (assume @p1127 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1128 @t1067) % 1.85/2.11 (assume @p1129 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1130 @t1068) % 1.85/2.11 (assume @p1131 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1132 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (assume @p1133 (forall @t1059 (=> @t1069 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1057)))) % 1.85/2.11 (assume @p1134 (forall @t1059 (=> @t1070 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1057)))) % 1.85/2.11 (assume @p1135 (forall @t1059 (=> @t1070 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1057)))) % 1.85/2.11 (assume @p1136 (forall @t1059 (=> @t1070 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1057)))) % 1.85/2.11 (assume @p1137 (forall @t1059 (=> @t1070 (tptp.class_Rings_Olinordered__semiring__1__strict @t1057)))) % 1.85/2.11 (assume @p1138 (forall @t1059 (=> @t1070 (tptp.class_Rings_Olinordered__semiring__strict @t1057)))) % 1.85/2.11 (assume @p1139 (forall @t1059 (=> @t1070 (tptp.class_Groups_Oordered__ab__semigroup__add @t1057)))) % 1.85/2.11 (assume @p1140 (forall @t1059 (=> @t1070 (tptp.class_Groups_Oordered__comm__monoid__add @t1057)))) % 1.85/2.11 (assume @p1141 (forall @t1059 (=> @t1070 (tptp.class_Groups_Olinordered__ab__group__add @t1057)))) % 1.85/2.11 (assume @p1142 (forall @t1059 (=> @t1058 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1057)))) % 1.85/2.11 (assume @p1143 @t1072) % 1.85/2.11 (assume @p1144 (forall @t1059 (=> @t1070 (tptp.class_Rings_Oordered__cancel__semiring @t1057)))) % 1.85/2.11 (assume @p1145 (forall @t1059 (=> @t1070 (tptp.class_Rings_Olinordered__ring__strict @t1057)))) % 1.85/2.11 (assume @p1146 (forall @t1059 (=> @t1069 (tptp.class_Rings_Oring__no__zero__divisors @t1057)))) % 1.85/2.11 (assume @p1147 (forall @t1059 (=> @t1070 (tptp.class_Rings_Oordered__comm__semiring @t1057)))) % 1.85/2.11 (assume @p1148 (forall @t1059 (=> @t1070 (tptp.class_Rings_Olinordered__semiring__1 @t1057)))) % 1.85/2.11 (assume @p1149 (forall @t1059 (=> @t1070 (tptp.class_Groups_Oordered__ab__group__add @t1057)))) % 1.85/2.11 (assume @p1150 (forall @t1059 (=> @t1058 (tptp.class_Groups_Ocancel__semigroup__add @t1057)))) % 1.85/2.11 (assume @p1151 (forall @t1059 (=> @t1070 (tptp.class_Rings_Olinordered__semiring @t1057)))) % 1.85/2.11 (assume @p1152 (forall @t1059 (=> @t1070 (tptp.class_Rings_Olinordered__semidom @t1057)))) % 1.85/2.11 (assume @p1153 (forall @t1059 (=> @t1073 (tptp.class_Groups_Oab__semigroup__mult @t1057)))) % 1.85/2.11 (assume @p1154 (forall @t1059 (=> @t1074 (tptp.class_Groups_Ocomm__monoid__mult @t1057)))) % 1.85/2.11 (assume @p1155 (forall @t1059 (=> @t1075 (tptp.class_Groups_Oab__semigroup__add @t1057)))) % 1.85/2.11 (assume @p1156 (forall @t1059 (=> @t1070 (tptp.class_Rings_Oordered__semiring @t1057)))) % 1.85/2.11 (assume @p1157 (forall @t1059 (=> @t1069 (tptp.class_Rings_Ono__zero__divisors @t1057)))) % 1.85/2.11 (assume @p1158 (forall @t1059 (=> @t1075 (tptp.class_Groups_Ocomm__monoid__add @t1057)))) % 1.85/2.11 (assume @p1159 (forall @t1059 (=> @t1070 (tptp.class_Rings_Olinordered__ring @t1057)))) % 1.85/2.11 (assume @p1160 (forall @t1059 (=> @t1070 (tptp.class_Rings_Olinordered__idom @t1057)))) % 1.85/2.11 (assume @p1161 (forall @t1059 (=> @t1074 (tptp.class_Rings_Ocomm__semiring__1 @t1057)))) % 1.85/2.11 (assume @p1162 (forall @t1059 (=> @t1073 (tptp.class_Rings_Ocomm__semiring__0 @t1057)))) % 1.85/2.11 (assume @p1163 @t1078) % 1.85/2.11 (assume @p1164 (forall @t1059 (=> @t1073 (tptp.class_Rings_Ocomm__semiring @t1057)))) % 1.85/2.11 (assume @p1165 (forall @t1059 (=> @t1079 (tptp.class_Groups_Oab__group__add @t1057)))) % 1.85/2.11 (assume @p1166 (forall @t1059 (=> @t1074 (tptp.class_Rings_Ozero__neq__one @t1057)))) % 1.85/2.11 (assume @p1167 (forall @t1059 (=> @t1070 (tptp.class_Rings_Oordered__ring @t1057)))) % 1.85/2.11 (assume @p1168 (forall @t1059 (=> @t1070 (tptp.class_Orderings_Opreorder @t1057)))) % 1.85/2.11 (assume @p1169 (forall @t1059 (=> @t1070 (tptp.class_Orderings_Olinorder @t1057)))) % 1.85/2.11 (assume @p1170 (forall @t1059 (=> @t1074 (tptp.class_Groups_Omonoid__mult @t1057)))) % 1.85/2.11 (assume @p1171 (forall @t1059 (=> @t1080 (tptp.class_Rings_Ocomm__ring__1 @t1057)))) % 1.85/2.11 (assume @p1172 (forall @t1059 (=> @t1075 (tptp.class_Groups_Omonoid__add @t1057)))) % 1.85/2.11 (assume @p1173 (forall @t1059 (=> @t1073 (tptp.class_Rings_Osemiring__0 @t1057)))) % 1.85/2.11 (assume @p1174 (forall @t1059 (=> @t1079 (tptp.class_Groups_Ogroup__add @t1057)))) % 1.85/2.11 (assume @p1175 (forall @t1059 (=> @t1077 (tptp.class_Divides_Oring__div @t1057)))) % 1.85/2.11 (assume @p1176 (forall @t1059 (=> @t1073 (tptp.class_Rings_Omult__zero @t1057)))) % 1.85/2.11 (assume @p1177 (forall @t1059 (=> @t1081 (tptp.class_Rings_Ocomm__ring @t1057)))) % 1.85/2.11 (assume @p1178 (forall @t1059 (=> @t1070 (tptp.class_Orderings_Oorder @t1057)))) % 1.85/2.11 (assume @p1179 (forall @t1059 (=> @t1070 (tptp.class_Int_Oring__char__0 @t1057)))) % 1.85/2.11 (assume @p1180 (forall @t1059 (=> @t1073 (tptp.class_Rings_Osemiring @t1057)))) % 1.85/2.11 (assume @p1181 (forall @t1059 (=> @t1070 (tptp.class_Orderings_Oord @t1057)))) % 1.85/2.11 (assume @p1182 (forall @t1059 (=> @t1079 (tptp.class_Groups_Ouminus @t1057)))) % 1.85/2.11 (assume @p1183 (forall @t1059 (=> @t1070 (tptp.class_Groups_Osgn__if @t1057)))) % 1.85/2.11 (assume @p1184 (forall @t1059 (=> @t1080 (tptp.class_Rings_Oring__1 @t1057)))) % 1.85/2.11 (assume @p1185 (forall @t1059 (=> @t1079 (tptp.class_Groups_Ominus @t1057)))) % 1.85/2.11 (assume @p1186 (forall @t1059 (=> @t1074 (tptp.class_Power_Opower @t1057)))) % 1.85/2.11 (assume @p1187 (forall @t1059 (=> (tptp.class_Groups_Ozero @t1056) (tptp.class_Groups_Ozero @t1057)))) % 1.85/2.11 (assume @p1188 (forall @t1059 (=> @t1081 (tptp.class_Rings_Oring @t1057)))) % 1.85/2.11 (assume @p1189 (forall @t1059 (=> @t1069 (tptp.class_Rings_Oidom @t1057)))) % 1.85/2.11 (assume @p1190 (forall @t1059 (=> @t1074 (tptp.class_Groups_Oone @t1057)))) % 1.85/2.11 (assume @p1191 (forall @t1059 (=> @t1074 (tptp.class_Rings_Odvd @t1057)))) % 1.85/2.11 (assume @p1192 (forall @t496 (or (not @t1082) @t487))) % 1.85/2.11 (assume @p1193 (forall @t496 (or @t498 @t1082))) % 1.85/2.11 (assume @p1194 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t11)) % 1.85/2.11 (assume @p1195 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t13)) % 1.85/2.11 (assume @p1196 (not @t1083)) % 1.85/2.11 (assume @p1197 true) % 1.85/2.11 (step @p1198 :rule symm :premises (@p7)) % 1.85/2.11 (step @p1199 :rule refl :args (@t1086)) % 1.85/2.11 (step @p1200 :rule bool-double-not-elim :args (@t28)) % 1.85/2.11 (step @p1201 :rule nary_cong :premises (@p1200 @p1199) :args ((or (not @t29) @t1086))) % 1.85/2.11 (step @p1202 :rule bool-double-not-elim :args (@t1086)) % 1.85/2.11 (step @p1203 :rule refl :args (@t29)) % 1.85/2.11 (step @p1204 :rule cong :premises (@p1203 @p1202) :args ((=> @t29 @t1088))) % 1.85/2.11 (assume-push @p1507 @t29) % 1.85/2.11 (step @p1206 :rule skolemize :premises (@p13)) % 1.85/2.11 (step-pop @p1508 :rule scope :premises (@p1206)) % 1.85/2.11 (step @p1207 :rule process_scope :premises (@p1508) :args (@t1088)) % 1.85/2.11 (step @p1209 :rule eq_resolve :premises (@p1207 @p1204)) % 1.85/2.11 (step @p1210 :rule implies_elim :premises (@p1209)) % 1.85/2.11 (step @p1211 :rule eq_resolve :premises (@p1210 @p1201)) % 1.85/2.11 (step @p1212 :rule chain_m_resolution :premises (@p1211 @p13) :args (@t1086 @t1089 (@list @t28))) % 1.85/2.11 (step @p1213 :rule bool-impl-elim :args (@t40 @t1090)) % 1.85/2.11 (step @p1214 :rule cong :premises (@p1213) :args ((forall @t42 (=> @t40 @t1090)))) % 1.85/2.11 (step @p1215 :rule eq-symm :args (@t39 @t30)) % 1.85/2.11 (step @p1216 :rule refl :args (@t40)) % 1.85/2.11 (step @p1217 :rule cong :premises (@p1216 @p1215) :args (@t41)) % 1.85/2.11 (step @p1218 :rule cong :premises (@p1217) :args (@t43)) % 1.85/2.11 (step @p1219 :rule trans :premises (@p1218 @p1214)) % 1.85/2.11 (step @p1220 :rule eq_resolve :premises (@p15 @p1219)) % 1.85/2.11 (step @p1221 :rule instantiate :premises (@p1220) :args ((@list @t13 @t17 tptp.tc_Complex_Ocomplex))) % 1.85/2.11 (step @p1222 :rule cnf_or_pos :args (@t1094)) % 1.85/2.11 (step @p1223 :rule reordering :premises (@p1222) :args ((or @t1093 @t1092 (not @t1094)))) % 1.85/2.11 (step @p1224 :rule chain_m_resolution :premises (@p1223 @p1109 @p1221) :args (@t1092 @t1095 (@list @t1064 @t1094))) % 1.85/2.11 (step @p1225 :rule refl :args (@t1096)) % 1.85/2.11 (step @p1226 :rule bool-double-not-elim :args (@t73)) % 1.85/2.11 (step @p1227 :rule nary_cong :premises (@p1226 @p1225) :args ((or (not @t310) @t1096))) % 1.85/2.11 (step @p1228 :rule bool-impl-elim :args (@t310 @t1096)) % 1.85/2.11 (step @p1229 :rule trans :premises (@p1228 @p1227)) % 1.85/2.11 (step @p1230 :rule cong :premises (@p1229) :args ((forall @t87 (=> @t310 @t1096)))) % 1.85/2.11 (step @p1231 :rule eq-symm :args (@t876 @t72)) % 1.85/2.11 (step @p1232 :rule refl :args (@t310)) % 1.85/2.11 (step @p1233 :rule cong :premises (@p1232 @p1231) :args (@t878)) % 1.85/2.11 (step @p1234 :rule cong :premises (@p1233) :args (@t879)) % 1.85/2.11 (step @p1235 :rule trans :premises (@p1234 @p1230)) % 1.85/2.11 (step @p1236 :rule eq_resolve :premises (@p801 @p1235)) % 1.85/2.11 (step @p1237 :rule instantiate :premises (@p1236) :args ((@list @t14 @t11))) % 1.85/2.11 (step @p1238 :rule cnf_or_pos :args (@t1099)) % 1.85/2.11 (step @p1239 :rule reordering :premises (@p1238) :args ((or @t1083 @t1098 (not @t1099)))) % 1.85/2.11 (step @p1240 :rule chain_m_resolution :premises (@p1239 @p1196 @p1237) :args (@t1098 @t1100 (@list @t1083 @t1099))) % 1.85/2.11 (step @p1241 :rule aci_norm :args ((= (or @t1103 @t1104) (or @t1103 @t1102 @t1101 @t926)))) % 1.85/2.11 (step @p1242 :rule aci_norm :args ((= (or @t1102 (or @t1101 @t926)) @t1104))) % 1.85/2.11 (step @p1243 :rule refl :args (@t926)) % 1.85/2.11 (step @p1244 :rule bool-double-not-elim :args (@t1101)) % 1.85/2.11 (step @p1245 :rule nary_cong :premises (@p1244 @p1243) :args ((or (not @t1105) @t926))) % 1.85/2.11 (step @p1246 :rule bool-impl-elim :args (@t1105 @t926)) % 1.85/2.11 (step @p1247 :rule trans :premises (@p1246 @p1245)) % 1.85/2.11 (step @p1248 :rule refl :args (@t1102)) % 1.85/2.11 (step @p1249 :rule nary_cong :premises (@p1248 @p1247) :args ((or @t1102 @t1106))) % 1.85/2.11 (step @p1250 :rule trans :premises (@p1249 @p1242)) % 1.85/2.11 (step @p1251 :rule refl :args (@t1106)) % 1.85/2.11 (step @p1252 :rule bool-double-not-elim :args (@t1102)) % 1.85/2.11 (step @p1253 :rule nary_cong :premises (@p1252 @p1251) :args ((or (not @t1107) @t1106))) % 1.85/2.11 (step @p1254 :rule bool-impl-elim :args (@t1107 @t1106)) % 1.85/2.11 (step @p1255 :rule trans :premises (@p1254 @p1253)) % 1.85/2.11 (step @p1256 :rule trans :premises (@p1255 @p1250)) % 1.85/2.11 (step @p1257 :rule refl :args (@t1103)) % 1.85/2.11 (step @p1258 :rule nary_cong :premises (@p1257 @p1256) :args ((or @t1103 @t1108))) % 1.85/2.11 (step @p1259 :rule trans :premises (@p1258 @p1241)) % 1.85/2.11 (step @p1260 :rule bool-impl-elim :args (@t177 @t1108)) % 1.85/2.11 (step @p1261 :rule trans :premises (@p1260 @p1259)) % 1.85/2.11 (step @p1262 :rule cong :premises (@p1261) :args ((forall @t440 (=> @t177 @t1108)))) % 1.85/2.11 (step @p1263 :rule refl :args (@t926)) % 1.85/2.11 (step @p1264 :rule eq-symm :args (@t204 @t33)) % 1.85/2.11 (step @p1265 :rule cong :premises (@p1264) :args (@t438)) % 1.85/2.11 (step @p1266 :rule cong :premises (@p1265 @p1263) :args (@t927)) % 1.85/2.11 (step @p1267 :rule eq-symm :args (@t119 @t33)) % 1.85/2.11 (step @p1268 :rule cong :premises (@p1267) :args (@t428)) % 1.85/2.11 (step @p1269 :rule cong :premises (@p1268 @p1266) :args (@t928)) % 1.85/2.11 (step @p1270 :rule refl :args (@t177)) % 1.85/2.11 (step @p1271 :rule cong :premises (@p1270 @p1269) :args (@t929)) % 1.85/2.11 (step @p1272 :rule cong :premises (@p1271) :args (@t930)) % 1.85/2.11 (step @p1273 :rule trans :premises (@p1272 @p1262)) % 1.85/2.11 (step @p1274 :rule eq_resolve :premises (@p838 @p1273)) % 1.85/2.11 (step @p1275 :rule instantiate :premises (@p1274) :args ((@list tptp.v_s____ @t21 tptp.tc_Complex_Ocomplex))) % 1.85/2.11 (step @p1276 :rule aci_norm :args ((= (or @t1109 (or @t180 @t179)) @t1110))) % 1.85/2.11 (step @p1277 :rule refl :args (@t179)) % 1.85/2.11 (step @p1278 :rule bool-double-not-elim :args (@t180)) % 1.85/2.11 (step @p1279 :rule nary_cong :premises (@p1278 @p1277) :args ((or (not @t181) @t179))) % 1.85/2.11 (step @p1280 :rule bool-impl-elim :args (@t181 @t179)) % 1.85/2.11 (step @p1281 :rule trans :premises (@p1280 @p1279)) % 1.85/2.11 (step @p1282 :rule refl :args (@t1109)) % 1.85/2.11 (step @p1283 :rule nary_cong :premises (@p1282 @p1281) :args ((or @t1109 @t182))) % 1.85/2.11 (step @p1284 :rule trans :premises (@p1283 @p1276)) % 1.85/2.11 (step @p1285 :rule bool-impl-elim :args (@t183 @t182)) % 1.85/2.11 (step @p1286 :rule trans :premises (@p1285 @p1284)) % 1.85/2.11 (step @p1287 :rule cong :premises (@p1286) :args (@t184)) % 1.85/2.11 (step @p1288 :rule eq_resolve :premises (@p58 @p1287)) % 1.85/2.11 (step @p1289 :rule eq-symm :args (@t21 @t9)) % 1.85/2.11 (step @p1290 :rule cong :premises (@p1289) :args (@t1111)) % 1.85/2.11 (step @p1291 :rule eq-symm :args (@t18 @t9)) % 1.85/2.11 (step @p1292 :rule refl :args (@t1113)) % 1.85/2.11 (step @p1293 :rule nary_cong :premises (@p1292 @p1291 @p1290) :args (@t1114)) % 1.85/2.11 (step @p1294 :rule refl :args (@t1115)) % 1.85/2.11 (step @p1295 :rule cong :premises (@p1294 @p1293) :args ((=> @t1115 @t1114))) % 1.85/2.11 (assume-push @p1509 @t1115) % 1.85/2.11 (step @p1297 :rule instantiate :premises (@p1288) :args ((@list @t13 @t18 @t8))) % 1.85/2.11 (step-pop @p1510 :rule scope :premises (@p1297)) % 1.85/2.11 (step @p1298 :rule process_scope :premises (@p1510) :args (@t1114)) % 1.85/2.11 (step @p1300 :rule eq_resolve :premises (@p1298 @p1295)) % 1.85/2.11 (step @p1301 :rule implies_elim :premises (@p1300)) % 1.85/2.11 (step @p1302 :rule chain_m_resolution :premises (@p1301 @p1288) :args (@t1119 @t1120 (@list @t1115))) % 1.85/2.11 (step @p1303 :rule bool-impl-elim :args (@t62 @t1121)) % 1.85/2.11 (step @p1304 :rule cong :premises (@p1303) :args ((forall @t218 (=> @t62 @t1121)))) % 1.85/2.11 (step @p1305 :rule eq-symm :args (@t169 @t33)) % 1.85/2.11 (step @p1306 :rule eq-symm :args (@t171 @t54)) % 1.85/2.11 (step @p1307 :rule nary_cong :premises (@p1306 @p1305) :args (@t215)) % 1.85/2.11 (step @p1308 :rule eq-symm :args (@t173 @t33)) % 1.85/2.11 (step @p1309 :rule cong :premises (@p1308 @p1307) :args (@t216)) % 1.85/2.11 (step @p1310 :rule refl :args (@t62)) % 1.85/2.11 (step @p1311 :rule cong :premises (@p1310 @p1309) :args (@t217)) % 1.85/2.11 (step @p1312 :rule cong :premises (@p1311) :args (@t219)) % 1.85/2.11 (step @p1313 :rule trans :premises (@p1312 @p1304)) % 1.85/2.11 (step @p1314 :rule eq_resolve :premises (@p73 @p1313)) % 1.85/2.11 (step @p1315 :rule refl :args (@t1122)) % 1.85/2.11 (step @p1316 :rule eq-symm :args (@t80 @t17)) % 1.85/2.11 (step @p1317 :rule nary_cong :premises (@p1316 @p1315) :args (@t1123)) % 1.85/2.11 (step @p1318 :rule refl :args (@t1118)) % 1.85/2.11 (step @p1319 :rule cong :premises (@p1318 @p1317) :args (@t1124)) % 1.85/2.11 (step @p1320 :rule refl :args (@t1125)) % 1.85/2.11 (step @p1321 :rule nary_cong :premises (@p1320 @p1319) :args (@t1126)) % 1.85/2.11 (step @p1322 :rule refl :args (@t1127)) % 1.85/2.11 (step @p1323 :rule cong :premises (@p1322 @p1321) :args ((=> @t1127 @t1126))) % 1.85/2.11 (assume-push @p1511 @t1127) % 1.85/2.11 (step @p1325 :rule instantiate :premises (@p1314) :args ((@list @t16 @t17 tptp.tc_Complex_Ocomplex))) % 1.85/2.11 (step-pop @p1512 :rule scope :premises (@p1325)) % 1.85/2.11 (step @p1326 :rule process_scope :premises (@p1512) :args (@t1126)) % 1.85/2.11 (step @p1328 :rule eq_resolve :premises (@p1326 @p1323)) % 1.85/2.11 (step @p1329 :rule implies_elim :premises (@p1328)) % 1.85/2.11 (step @p1330 :rule chain_m_resolution :premises (@p1329 @p1314) :args (@t1130 @t1120 @t1131)) % 1.85/2.11 (step @p1331 :rule cnf_or_pos :args (@t1130)) % 1.85/2.11 (step @p1332 :rule reordering :premises (@p1331) :args ((or @t1125 @t1129 (not @t1130)))) % 1.85/2.11 (step @p1333 :rule chain_m_resolution :premises (@p1332 @p1128 @p1330) :args (@t1129 @t1095 (@list @t1067 @t1130))) % 1.85/2.11 (step @p1334 :rule aci_norm :args ((= (and @t1132 true) @t1132))) % 1.85/2.11 (step @p1335 :rule eq-refl :args (@t9)) % 1.85/2.11 (step @p1336 :rule eq-symm :args (@t80 @t15)) % 1.85/2.11 (step @p1337 :rule nary_cong :premises (@p1336 @p1335) :args (@t1133)) % 1.85/2.11 (step @p1338 :rule trans :premises (@p1337 @p1334)) % 1.85/2.11 (step @p1339 :rule cong :premises (@p1315 @p1338) :args (@t1134)) % 1.85/2.11 (step @p1340 :rule nary_cong :premises (@p1320 @p1339) :args (@t1135)) % 1.85/2.11 (step @p1341 :rule cong :premises (@p1322 @p1340) :args ((=> @t1127 @t1135))) % 1.85/2.11 (assume-push @p1513 @t1127) % 1.85/2.11 (step @p1343 :rule instantiate :premises (@p1314) :args ((@list @t9 @t15 tptp.tc_Complex_Ocomplex))) % 1.85/2.11 (step-pop @p1514 :rule scope :premises (@p1343)) % 1.85/2.11 (step @p1344 :rule process_scope :premises (@p1514) :args (@t1135)) % 1.85/2.11 (step @p1346 :rule eq_resolve :premises (@p1344 @p1341)) % 1.85/2.11 (step @p1347 :rule implies_elim :premises (@p1346)) % 1.85/2.11 (step @p1348 :rule chain_m_resolution :premises (@p1347 @p1314) :args (@t1137 @t1120 @t1131)) % 1.85/2.11 (step @p1349 :rule cnf_or_pos :args (@t1137)) % 1.85/2.11 (step @p1350 :rule reordering :premises (@p1349) :args ((or @t1125 @t1136 (not @t1137)))) % 1.85/2.11 (step @p1351 :rule chain_m_resolution :premises (@p1350 @p1128 @p1348) :args (@t1136 @t1095 (@list @t1067 @t1137))) % 1.85/2.11 (step @p1352 :rule bool-impl-elim :args (@t209 @t447)) % 1.85/2.11 (step @p1353 :rule cong :premises (@p1352) :args (@t448)) % 1.85/2.11 (step @p1354 :rule eq_resolve :premises (@p266 @p1353)) % 1.85/2.11 (step @p1355 :rule instantiate :premises (@p1354) :args (@t1138)) % 1.85/2.11 (step @p1356 :rule cnf_or_pos :args (@t1141)) % 1.85/2.11 (step @p1357 :rule reordering :premises (@p1356) :args ((or @t1140 @t1139 (not @t1141)))) % 1.85/2.11 (step @p1358 :rule chain_m_resolution :premises (@p1357 @p1113 @p1355) :args (@t1139 @t1095 (@list @t1065 @t1141))) % 1.85/2.11 (step @p1359 :rule cnf_equiv_pos1 :args (@t1136)) % 1.85/2.11 (step @p1360 :rule reordering :premises (@p1359) :args ((or @t1132 @t1142 (not @t1136)))) % 1.85/2.11 (step @p1361 :rule chain_m_resolution :premises (@p1360 @p1358 @p1351) :args (@t1142 @t1100 (@list @t1132 @t1136))) % 1.85/2.11 (step @p1362 :rule cnf_and_pos :args (@t1128 1)) % 1.85/2.11 (step @p1363 :rule reordering :premises (@p1362) :args ((or @t1122 @t1143))) % 1.85/2.11 (step @p1364 :rule chain_m_resolution :premises (@p1363 @p1361) :args (@t1143 @t1089 (@list @t1122))) % 1.85/2.11 (step @p1365 :rule cnf_equiv_pos1 :args (@t1129)) % 1.85/2.11 (step @p1366 :rule reordering :premises (@p1365) :args ((or @t1128 @t1144 (not @t1129)))) % 1.85/2.11 (step @p1367 :rule chain_m_resolution :premises (@p1366 @p1364 @p1333) :args (@t1144 @t1100 (@list @t1128 @t1129))) % 1.85/2.11 (step @p1368 :rule bool-impl-elim :args (@t1069 @t1071)) % 1.85/2.11 (step @p1369 :rule cong :premises (@p1368) :args (@t1072)) % 1.85/2.11 (step @p1370 :rule eq_resolve :premises (@p1143 @p1369)) % 1.85/2.11 (step @p1371 :rule instantiate :premises (@p1370) :args (@t1138)) % 1.85/2.11 (step @p1372 :rule cnf_or_pos :args (@t1146)) % 1.85/2.11 (step @p1373 :rule reordering :premises (@p1372) :args ((or @t1145 @t1112 (not @t1146)))) % 1.85/2.11 (step @p1374 :rule chain_m_resolution :premises (@p1373 @p1130 @p1371) :args (@t1112 @t1095 (@list @t1068 @t1146))) % 1.85/2.11 (step @p1375 :rule cnf_or_pos :args (@t1119)) % 1.85/2.11 (step @p1376 :rule reordering :premises (@p1375) :args ((or @t1113 @t1118 @t1117 (not @t1119)))) % 1.85/2.11 (step @p1377 :rule chain_m_resolution :premises (@p1376 @p1374 @p1367 @p1302) :args (@t1117 (@list false true false) (@list @t1112 @t1118 @t1119))) % 1.85/2.11 (step @p1378 :rule symm :premises (@p9)) % 1.85/2.11 (step @p1379 :rule cnf_or_pos :args (@t1150)) % 1.85/2.11 (step @p1380 :rule reordering :premises (@p1379) :args ((or @t1149 @t1145 @t1116 @t1148 (not @t1150)))) % 1.85/2.11 (step @p1381 :rule chain_m_resolution :premises (@p1380 @p1378 @p1130 @p1377 @p1275) :args (@t1148 (@list true false true false) (@list @t1149 @t1068 @t1116 @t1150))) % 1.85/2.11 (step @p1382 :rule aci_norm :args ((= (or @t1153 (or @t1152 @t1151)) (or @t1153 @t1152 @t1151)))) % 1.85/2.11 (step @p1383 :rule refl :args (@t1151)) % 1.85/2.11 (step @p1384 :rule bool-double-not-elim :args (@t1152)) % 1.85/2.11 (step @p1385 :rule nary_cong :premises (@p1384 @p1383) :args ((or (not @t1154) @t1151))) % 1.85/2.11 (step @p1386 :rule bool-impl-elim :args (@t1154 @t1151)) % 1.85/2.11 (step @p1387 :rule trans :premises (@p1386 @p1385)) % 1.85/2.11 (step @p1388 :rule refl :args (@t1153)) % 1.85/2.11 (step @p1389 :rule nary_cong :premises (@p1388 @p1387) :args ((or @t1153 @t1155))) % 1.85/2.11 (step @p1390 :rule trans :premises (@p1389 @p1382)) % 1.85/2.11 (step @p1391 :rule bool-impl-elim :args (@t954 @t1155)) % 1.85/2.11 (step @p1392 :rule trans :premises (@p1391 @p1390)) % 1.85/2.11 (step @p1393 :rule cong :premises (@p1392) :args ((forall @t477 (=> @t954 @t1155)))) % 1.85/2.11 (step @p1394 :rule eq-symm :args (@t968 @t36)) % 1.85/2.11 (step @p1395 :rule eq-symm :args (@t185 @t54)) % 1.85/2.11 (step @p1396 :rule cong :premises (@p1395) :args (@t446)) % 1.85/2.11 (step @p1397 :rule cong :premises (@p1396 @p1394) :args (@t969)) % 1.85/2.11 (step @p1398 :rule refl :args (@t954)) % 1.85/2.11 (step @p1399 :rule cong :premises (@p1398 @p1397) :args (@t970)) % 1.85/2.11 (step @p1400 :rule cong :premises (@p1399) :args (@t971)) % 1.85/2.11 (step @p1401 :rule trans :premises (@p1400 @p1393)) % 1.85/2.11 (step @p1402 :rule eq_resolve :premises (@p879 @p1401)) % 1.85/2.11 (step @p1403 :rule instantiate :premises (@p1402) :args ((@list tptp.v_s____ @t21 @t8))) % 1.85/2.11 (step @p1404 :rule bool-impl-elim :args (@t1077 @t1076)) % 1.85/2.11 (step @p1405 :rule cong :premises (@p1404) :args (@t1078)) % 1.85/2.11 (step @p1406 :rule eq_resolve :premises (@p1163 @p1405)) % 1.85/2.11 (step @p1407 :rule instantiate :premises (@p1406) :args (@t1138)) % 1.85/2.11 (step @p1408 :rule cnf_or_pos :args (@t1158)) % 1.85/2.11 (step @p1409 :rule reordering :premises (@p1408) :args ((or @t1157 @t1156 (not @t1158)))) % 1.85/2.11 (step @p1410 :rule chain_m_resolution :premises (@p1409 @p1126 @p1407) :args (@t1156 @t1095 (@list @t1066 @t1158))) % 1.85/2.11 (step @p1411 :rule cnf_or_pos :args (@t1162)) % 1.85/2.11 (step @p1412 :rule reordering :premises (@p1411) :args ((or @t1116 @t1161 @t1160 (not @t1162)))) % 1.85/2.11 (step @p1413 :rule chain_m_resolution :premises (@p1412 @p1377 @p1410 @p1403) :args (@t1160 @t1163 (@list @t1116 @t1156 @t1162))) % 1.85/2.11 (step @p1414 :rule instantiate :premises (@p1402) :args ((@list @t1084 @t21 @t8))) % 1.85/2.11 (step @p1415 :rule cnf_or_pos :args (@t1165)) % 1.85/2.11 (step @p1416 :rule reordering :premises (@p1415) :args ((or @t1116 @t1161 @t1164 (not @t1165)))) % 1.85/2.11 (step @p1417 :rule chain_m_resolution :premises (@p1416 @p1377 @p1410 @p1414) :args (@t1164 @t1163 (@list @t1116 @t1156 @t1165))) % 1.85/2.11 (step @p1418 :rule eq-symm :args (@t833 @t72)) % 1.85/2.11 (step @p1419 :rule cong :premises (@p1418) :args (@t834)) % 1.85/2.11 (step @p1420 :rule eq_resolve :premises (@p737 @p1419)) % 1.85/2.11 (step @p1421 :rule instantiate :premises (@p1420) :args ((@list @t1166 @t1091))) % 1.85/2.11 (step @p1422 :rule eq-symm :args (@t677 @t7)) % 1.85/2.11 (step @p1423 :rule refl :args (@t257)) % 1.85/2.11 (step @p1424 :rule cong :premises (@p1423 @p1422) :args ((= @t257 @t678))) % 1.85/2.11 (step @p1425 :rule eq-symm :args (@t678 @t257)) % 1.85/2.11 (step @p1426 :rule trans :premises (@p1425 @p1424)) % 1.85/2.11 (step @p1427 :rule cong :premises (@p1426) :args (@t679)) % 1.85/2.11 (step @p1428 :rule eq_resolve :premises (@p551 @p1427)) % 1.85/2.11 (step @p1429 :rule instantiate :premises (@p1428) :args ((@list @t11 @t14))) % 1.85/2.11 (step @p1430 :rule aci_norm :args ((= (or @t1167 @t561) (or @t1167 @t529 @t407)))) % 1.85/2.11 (step @p1431 :rule bool-impl-elim :args (@t530 @t561)) % 1.85/2.11 (step @p1432 :rule trans :premises (@p1431 @p1430)) % 1.85/2.11 (step @p1433 :rule cong :premises (@p1432) :args (@t562)) % 1.85/2.11 (step @p1434 :rule eq_resolve :premises (@p420 @p1433)) % 1.85/2.11 (step @p1435 :rule instantiate :premises (@p1434) :args ((@list @t11 @t14 tptp.tc_Nat_Onat))) % 1.85/2.11 (step @p1436 :rule cnf_or_pos :args (@t1170)) % 1.85/2.11 (step @p1437 :rule reordering :premises (@p1436) :args ((or @t1083 @t1169 @t1168 (not @t1170)))) % 1.85/2.11 (step @p1438 :rule chain_m_resolution :premises (@p1437 @p1196 @p1076 @p1435) :args (@t1168 @t1163 (@list @t1083 @t1063 @t1170))) % 1.85/2.11 (step @p1439 :rule cnf_equiv_pos1 :args (@t1173)) % 1.85/2.11 (step @p1440 :rule reordering :premises (@p1439) :args ((or (not @t1168) @t1172 (not @t1173)))) % 1.85/2.11 (step @p1441 :rule chain_m_resolution :premises (@p1440 @p1438 @p1429) :args (@t1172 @t1095 (@list @t1168 @t1173))) % 1.85/2.11 (step @p1442 :rule refl :args (@t1174)) % 1.85/2.11 (step @p1443 :rule refl :args (@t1176)) % 1.85/2.11 (step @p1444 :rule refl :args (@t1177)) % 1.85/2.11 (step @p1445 :rule refl :args (@t1178)) % 1.85/2.11 (step @p1446 :rule refl :args (@t1179)) % 1.85/2.11 (step @p1447 :rule refl :args (@t1180)) % 1.85/2.11 (step @p1448 :rule refl :args (@t1181)) % 1.85/2.11 (step @p1449 :rule refl :args (@t1087)) % 1.85/2.11 (step @p1450 :rule bool-double-not-elim :args (@t1182)) % 1.85/2.11 (step @p1451 :rule refl :args (@t1183)) % 1.85/2.11 (step @p1452 :rule nary_cong :premises (@p1451 @p1450 @p1449 @p1448 @p1447 @p1446 @p1445 @p1444 @p1443 @p1442) :args ((or @t1183 (not @t1184) @t1087 @t1181 @t1180 @t1179 @t1178 @t1177 @t1176 @t1174))) % 1.85/2.11 (assume-push @p1515 @t25) % 1.85/2.11 (assume-push @p1516 @t1184) % 1.85/2.11 (assume-push @p1517 @t1086) % 1.85/2.11 (assume-push @p1518 @t1092) % 1.85/2.11 (assume-push @p1519 @t1098) % 1.85/2.11 (assume-push @p1520 @t1148) % 1.85/2.11 (assume-push @p1521 @t1160) % 1.85/2.11 (assume-push @p1522 @t1164) % 1.85/2.11 (assume-push @p1523 @t1175) % 1.85/2.11 (step @p1462 :rule false_intro :premises (@p1198)) % 1.85/2.11 (step @p1463 :rule symm :premises (@p1240)) % 1.85/2.11 (step @p1464 :rule refl :args (@t14)) % 1.85/2.11 (step @p1465 :rule refl :args (tptp.tc_Nat_Onat)) % 1.85/2.11 (step @p1466 :rule cong :premises (@p1465 @p1464 @p1463) :args ((tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t1097))) % 1.85/2.11 (step @p1467 :rule symm :premises (@p1224)) % 1.85/2.11 (step @p1468 :rule symm :premises (@p1421)) % 1.85/2.11 (step @p1469 :rule symm :premises (@p1417)) % 1.85/2.11 (step @p1470 :rule refl :args (@t21)) % 1.85/2.11 (step @p1471 :rule refl :args (@t8)) % 1.85/2.11 (step @p1472 :rule cong :premises (@p1471 @p1212 @p1470) :args ((tptp.c_Divides_Odiv__class_Odiv @t8 tptp.v_pa____ @t21))) % 1.85/2.11 (step @p1473 :rule symm :premises (@p11)) % 1.85/2.11 (step @p1474 :rule cong :premises (@p1471 @p1473 @p1470) :args (@t1159)) % 1.85/2.11 (step @p1475 :rule trans :premises (@p1413 @p1474 @p1472 @p1469)) % 1.85/2.11 (step @p1476 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 1.85/2.11 (step @p1477 :rule cong :premises (@p1476 @p1475) :args (@t11)) % 1.85/2.11 (step @p1478 :rule refl :args (@t1091)) % 1.85/2.11 (step @p1479 :rule cong :premises (@p1465 @p1478 @p1477) :args (@t1147)) % 1.85/2.11 (step @p1480 :rule cong :premises (@p1476 @p11) :args (@t14)) % 1.85/2.11 (step @p1481 :rule trans :premises (@p1480 @p1381 @p1479)) % 1.85/2.11 (step @p1482 :rule cong :premises (@p1465 @p1481 @p1477) :args (@t1171)) % 1.85/2.11 (step @p1483 :rule trans :premises (@p1466 @p1482 @p1468 @p1467)) % 1.85/2.11 (step @p1484 :rule symm :premises (@p1483)) % 1.85/2.11 (step @p1485 :rule trans :premises (@p1484 @p1466)) % 1.85/2.11 (step @p1486 :rule symm :premises (@p1485)) % 1.85/2.11 (step @p1487 :rule refl :args (@t7)) % 1.85/2.11 (step @p1488 :rule cong :premises (@p1487 @p1486) :args (@t1172)) % 1.85/2.11 (step @p1489 :rule trans :premises (@p1488 @p1462)) % 1.85/2.11 (step @p1490 :rule false_elim :premises (@p1489)) % 1.85/2.11 (step-pop @p1524 :rule scope :premises (@p1490)) % 1.85/2.11 (step-pop @p1525 :rule scope :premises (@p1524)) % 1.85/2.11 (step-pop @p1526 :rule scope :premises (@p1525)) % 1.85/2.11 (step-pop @p1527 :rule scope :premises (@p1526)) % 1.85/2.11 (step-pop @p1528 :rule scope :premises (@p1527)) % 1.85/2.11 (step-pop @p1529 :rule scope :premises (@p1528)) % 1.85/2.11 (step-pop @p1530 :rule scope :premises (@p1529)) % 1.85/2.11 (step-pop @p1531 :rule scope :premises (@p1530)) % 1.85/2.11 (step-pop @p1532 :rule scope :premises (@p1531)) % 1.85/2.11 (step @p1491 :rule process_scope :premises (@p1532) :args (@t1174)) % 1.85/2.11 (step @p1501 :rule implies_elim :premises (@p1491)) % 1.85/2.11 (step @p1502 :rule cnf_and_neg :args (@t1185)) % 1.85/2.11 (step @p1503 :rule resolution :premises (@p1502 @p1501) :args (true @t1185)) % 1.85/2.11 (step @p1504 :rule eq_resolve :premises (@p1503 @p1452)) % 1.85/2.11 (step @p1505 :rule reordering :premises (@p1504) :args ((or @t1182 @t1183 @t1087 @t1181 @t1180 @t1179 @t1178 @t1177 @t1174 @t1176))) % 1.85/2.11 (step @p1506 false :rule chain_m_resolution :premises (@p1505 @p1441 @p1421 @p1417 @p1413 @p1381 @p1240 @p1224 @p1212 @p11 @p1198) :args (false (@list false false false false false false false false false true) (@list @t1172 @t1175 @t1164 @t1160 @t1148 @t1098 @t1092 @t1086 @t25 @t1182))) % 1.85/2.11 ) % 1.85/2.11 % SZS output end Proof % 1.85/2.11 % cvc5 exiting %------------------------------------------------------------------------------