%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW185+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n010.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 09:04:28 AM UTC 2026 % Result : Theorem 1.20s 1.41s % Output : Proof 1.20s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW185+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:37:40 EDT 2026 % 0.16/0.34 % CPUTime : % 0.44/0.75 %----Proving TF0_NAR, FOF, or CNF % 1.20/1.41 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.20/1.41 % SZS status Theorem % 1.20/1.41 % SZS output start Proof % 1.20/1.41 ( % 1.20/1.41 (declare-sort $$unsorted 0) % 1.20/1.41 (declare-const tptp.v_a $$unsorted) % 1.20/1.41 (declare-const tptp.v_p $$unsorted) % 1.20/1.41 (declare-const tptp.class_Enum_Oenum (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_SMT_Oz3mod (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_fTrue $$unsorted) % 1.20/1.41 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.20/1.41 (declare-const tptp.c_fFalse $$unsorted) % 1.20/1.41 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.t_a $$unsorted) % 1.20/1.41 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.20/1.41 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_HOL_Oequal (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_HOL_Oequal__class_Oequal (-> $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.20/1.41 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_fequal $$unsorted) % 1.20/1.41 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Polynomial_OAbs__poly (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.20/1.41 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.v_h $$unsorted) % 1.20/1.41 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.20/1.41 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.20/1.41 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.20/1.41 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.20/1.41 (define @t3 () (@var "B_x" $$unsorted)) % 1.20/1.41 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.20/1.41 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.20/1.41 (define @t6 () (@list @t3)) % 1.20/1.41 (define @t7 () (@var "T_a" $$unsorted)) % 1.20/1.41 (define @t8 () (tptp.tc_Polynomial_Opoly @t7)) % 1.20/1.41 (define @t9 () (tptp.c_Groups_Ozero__class_Ozero @t8)) % 1.20/1.41 (define @t10 () (@var "V_h" $$unsorted)) % 1.20/1.41 (define @t11 () (tptp.class_Rings_Ocomm__semiring__0 @t7)) % 1.20/1.41 (define @t12 () (@var "V_a" $$unsorted)) % 1.20/1.41 (define @t13 () (tptp.c_Polynomial_OpCons @t7 @t12 @t9)) % 1.20/1.41 (define @t14 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t7 @t13 @t10)) % 1.20/1.41 (define @t15 () (=> @t11 (= @t14 @t13))) % 1.20/1.41 (define @t16 () (@list @t10 @t12 @t7)) % 1.20/1.41 (define @t17 () (forall @t16 @t15)) % 1.20/1.41 (define @t18 () (tptp.c_Groups_Ozero__class_Ozero @t7)) % 1.20/1.41 (define @t19 () (tptp.class_Groups_Ozero @t7)) % 1.20/1.41 (define @t20 () (@list @t7)) % 1.20/1.41 (define @t21 () (@var "T_b" $$unsorted)) % 1.20/1.41 (define @t22 () (tptp.tc_Polynomial_Opoly @t21)) % 1.20/1.41 (define @t23 () (tptp.c_Groups_Ozero__class_Ozero @t22)) % 1.20/1.41 (define @t24 () (@var "V_pa_2" $$unsorted)) % 1.20/1.41 (define @t25 () (= @t24 @t23)) % 1.20/1.41 (define @t26 () (tptp.c_Groups_Ozero__class_Ozero @t21)) % 1.20/1.41 (define @t27 () (@var "V_a_2" $$unsorted)) % 1.20/1.41 (define @t28 () (= @t27 @t26)) % 1.20/1.41 (define @t29 () (tptp.c_Polynomial_OpCons @t21 @t27 @t24)) % 1.20/1.41 (define @t30 () (tptp.class_Groups_Ozero @t21)) % 1.20/1.41 (define @t31 () (@list @t24 @t27 @t21)) % 1.20/1.41 (define @t32 () (@var "V_q_2" $$unsorted)) % 1.20/1.41 (define @t33 () (= @t24 @t32)) % 1.20/1.41 (define @t34 () (@var "V_b_2" $$unsorted)) % 1.20/1.41 (define @t35 () (= @t27 @t34)) % 1.20/1.41 (define @t36 () (tptp.c_Polynomial_OpCons @t21 @t34 @t32)) % 1.20/1.41 (define @t37 () (@list @t32 @t34 @t24 @t27 @t21)) % 1.20/1.41 (define @t38 () (@var "V_z_2" $$unsorted)) % 1.20/1.41 (define @t39 () (@var "T_c" $$unsorted)) % 1.20/1.41 (define @t40 () (tptp.c_Polynomial_Opoly__rec @t21 @t39 @t38 @t2 @t24)) % 1.20/1.41 (define @t41 () (tptp.hAPP (tptp.hAPP @t2 @t27) @t24)) % 1.20/1.41 (define @t42 () (tptp.c_Polynomial_Opoly__rec @t21 @t39 @t38 @t2 (tptp.c_Polynomial_OpCons @t39 @t27 @t24))) % 1.20/1.41 (define @t43 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t39))) % 1.20/1.41 (define @t44 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t39)) @t43) @t38) @t38)) % 1.20/1.41 (define @t45 () (tptp.class_Groups_Ozero @t39)) % 1.20/1.41 (define @t46 () (@var "V_x_2" $$unsorted)) % 1.20/1.41 (define @t47 () (= @t46 @t26)) % 1.20/1.41 (define @t48 () (@list @t46 @t21)) % 1.20/1.41 (define @t49 () (tptp.c_HOL_Oequal__class_Oequal @t22)) % 1.20/1.41 (define @t50 () (tptp.hAPP @t49 @t23)) % 1.20/1.41 (define @t51 () (tptp.c_HOL_Oequal__class_Oequal @t21)) % 1.20/1.41 (define @t52 () (tptp.class_HOL_Oequal @t21)) % 1.20/1.41 (define @t53 () (and @t30 @t52)) % 1.20/1.41 (define @t54 () (tptp.hAPP @t49 @t24)) % 1.20/1.41 (define @t55 () (tptp.hAPP @t51 @t27)) % 1.20/1.41 (define @t56 () (tptp.hAPP @t49 @t29)) % 1.20/1.41 (define @t57 () (@var "V_P_2" $$unsorted)) % 1.20/1.41 (define @t58 () (@var "B_p" $$unsorted)) % 1.20/1.41 (define @t59 () (@var "B_a" $$unsorted)) % 1.20/1.41 (define @t60 () (@var "V_n" $$unsorted)) % 1.20/1.41 (define @t61 () (@list @t60 @t7)) % 1.20/1.41 (define @t62 () (tptp.hBOOL (tptp.hAPP @t54 @t32))) % 1.20/1.41 (define @t63 () (@list @t32 @t24 @t21)) % 1.20/1.41 (define @t64 () (@var "V_n_2" $$unsorted)) % 1.20/1.41 (define @t65 () (tptp.c_Polynomial_Omonom @t21 @t27 @t64)) % 1.20/1.41 (define @t66 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.20/1.41 (define @t67 () (@list @t12 @t7)) % 1.20/1.41 (define @t68 () (tptp.class_HOL_Oequal @t7)) % 1.20/1.41 (define @t69 () (@list @t64 @t27 @t21)) % 1.20/1.41 (define @t70 () (@list @t21)) % 1.20/1.41 (define @t71 () (@var "V_x" $$unsorted)) % 1.20/1.41 (define @t72 () (@list @t71 @t7)) % 1.20/1.41 (define @t73 () (@var "V_y_2" $$unsorted)) % 1.20/1.41 (define @t74 () (= @t46 @t73)) % 1.20/1.41 (define @t75 () (@list @t73 @t46 @t21)) % 1.20/1.41 (define @t76 () (tptp.c_Polynomial_Omonom @t7 @t12 @t60)) % 1.20/1.41 (define @t77 () (tptp.c_Nat_OSuc @t60)) % 1.20/1.41 (define @t78 () (@list @t60 @t12 @t7)) % 1.20/1.41 (define @t79 () (@var "V_q" $$unsorted)) % 1.20/1.41 (define @t80 () (@list @t79 @t7)) % 1.20/1.41 (define @t81 () (@var "V_c" $$unsorted)) % 1.20/1.41 (define @t82 () (@var "V_m" $$unsorted)) % 1.20/1.41 (define @t83 () (tptp.c_Polynomial_Omonom @t7 @t12 @t82)) % 1.20/1.41 (define @t84 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t83) @t60)) % 1.20/1.41 (define @t85 () (= @t82 @t60)) % 1.20/1.41 (define @t86 () (not @t85)) % 1.20/1.41 (define @t87 () (@list @t12 @t60 @t82 @t7)) % 1.20/1.41 (define @t88 () (@var "V_p" $$unsorted)) % 1.20/1.41 (define @t89 () (= @t88 @t9)) % 1.20/1.41 (define @t90 () (tptp.c_Polynomial_OpCons @t7 @t12 @t88)) % 1.20/1.41 (define @t91 () (tptp.c_Polynomial_Osmult @t7 @t81 @t88)) % 1.20/1.41 (define @t92 () (@list @t12 @t88 @t81 @t7)) % 1.20/1.41 (define @t93 () (tptp.c_Polynomial_Osmult @t21 @t27 @t24)) % 1.20/1.41 (define @t94 () (tptp.class_Rings_Oidom @t21)) % 1.20/1.41 (define @t95 () (@list @t88 @t7)) % 1.20/1.41 (define @t96 () (@var "B_n" $$unsorted)) % 1.20/1.41 (define @t97 () (tptp.c_Polynomial_Ocoeff @t21 @t24)) % 1.20/1.41 (define @t98 () (@list @t96)) % 1.20/1.41 (define @t99 () (tptp.c_Polynomial_Opoly @t21 @t24)) % 1.20/1.41 (define @t100 () (and (tptp.class_Int_Oring__char__0 @t21) @t94)) % 1.20/1.41 (define @t101 () (tptp.c_Polynomial_Ocoeff @t21 @t46)) % 1.20/1.41 (define @t102 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t79) @t71)) % 1.20/1.41 (define @t103 () (tptp.c_Polynomial_Opoly @t7 @t88)) % 1.20/1.41 (define @t104 () (tptp.c_Polynomial_Opcompose @t7 @t88 @t79)) % 1.20/1.41 (define @t105 () (@list @t71 @t79 @t88 @t7)) % 1.20/1.41 (define @t106 () (tptp.c_Polynomial_Ocoeff @t7 @t88)) % 1.20/1.41 (define @t107 () (tptp.hAPP @t106 @t60)) % 1.20/1.41 (define @t108 () (tptp.c_Polynomial_Ocoeff @t7 @t90)) % 1.20/1.41 (define @t109 () (@list @t60 @t88 @t12 @t7)) % 1.20/1.41 (define @t110 () (tptp.c_Polynomial_Osynthetic__div @t7 @t88 @t81)) % 1.20/1.41 (define @t111 () (tptp.hAPP @t103 @t81)) % 1.20/1.41 (define @t112 () (tptp.c_Polynomial_OpCons @t7 @t111 @t110)) % 1.20/1.41 (define @t113 () (@list @t88 @t12 @t7)) % 1.20/1.41 (define @t114 () (@list @t24 @t21)) % 1.20/1.41 (define @t115 () (tptp.c_Nat_OSuc @t82)) % 1.20/1.41 (define @t116 () (@list @t82)) % 1.20/1.41 (define @t117 () (@var "V_nat_H" $$unsorted)) % 1.20/1.41 (define @t118 () (@var "V_nat_H_1" $$unsorted)) % 1.20/1.41 (define @t119 () (@var "V_r" $$unsorted)) % 1.20/1.41 (define @t120 () (tptp.c_Nat_Onat_Onat__case @t21 @t27 @t97)) % 1.20/1.41 (define @t121 () (@var "V_b" $$unsorted)) % 1.20/1.41 (define @t122 () (= @t121 @t81)) % 1.20/1.41 (define @t123 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t81 @t12)) % 1.20/1.41 (define @t124 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t121 @t12)) % 1.20/1.41 (define @t125 () (tptp.class_Groups_Ocancel__semigroup__add @t7)) % 1.20/1.41 (define @t126 () (@list @t81 @t12 @t121 @t7)) % 1.20/1.41 (define @t127 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t81)) % 1.20/1.41 (define @t128 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t121)) % 1.20/1.41 (define @t129 () (=> (= @t128 @t127) @t122)) % 1.20/1.41 (define @t130 () (@list @t81 @t121 @t12 @t7)) % 1.20/1.41 (define @t131 () (@var "V_c_2" $$unsorted)) % 1.20/1.41 (define @t132 () (= @t34 @t131)) % 1.20/1.41 (define @t133 () (tptp.c_Groups_Oplus__class_Oplus @t21 @t131 @t27)) % 1.20/1.41 (define @t134 () (tptp.c_Groups_Oplus__class_Oplus @t21 @t34 @t27)) % 1.20/1.41 (define @t135 () (tptp.class_Groups_Ocancel__semigroup__add @t21)) % 1.20/1.41 (define @t136 () (tptp.c_Groups_Oplus__class_Oplus @t21 @t27 @t131)) % 1.20/1.41 (define @t137 () (tptp.c_Groups_Oplus__class_Oplus @t21 @t27 @t34)) % 1.20/1.41 (define @t138 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t121 @t81)) % 1.20/1.41 (define @t139 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t128 @t81)) % 1.20/1.41 (define @t140 () (= @t139 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t138))) % 1.20/1.41 (define @t141 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t88 @t79)) % 1.20/1.41 (define @t142 () (tptp.class_Groups_Ocomm__monoid__add @t7)) % 1.20/1.41 (define @t143 () (tptp.c_Polynomial_Osmult @t7 @t121 @t88)) % 1.20/1.41 (define @t144 () (tptp.c_Polynomial_Osmult @t7 @t12 @t88)) % 1.20/1.41 (define @t145 () (@list @t88 @t121 @t12 @t7)) % 1.20/1.41 (define @t146 () (tptp.c_Polynomial_Ocoeff @t7 @t79)) % 1.20/1.41 (define @t147 () (tptp.hAPP @t103 @t71)) % 1.20/1.41 (define @t148 () (tptp.c_Polynomial_Omonom @t7 @t121 @t60)) % 1.20/1.41 (define @t149 () (@list @t121 @t60 @t12 @t7)) % 1.20/1.41 (define @t150 () (@var "V_f1_2" $$unsorted)) % 1.20/1.41 (define @t151 () (@var "V_f2_2" $$unsorted)) % 1.20/1.41 (define @t152 () (tptp.c_Nat_Onat_Onat__case @t21 @t150 @t151)) % 1.20/1.41 (define @t153 () (@var "V_nat_2" $$unsorted)) % 1.20/1.41 (define @t154 () (tptp.c_Nat_OSuc @t153)) % 1.20/1.41 (define @t155 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t18) @t12)) % 1.20/1.41 (define @t156 () (tptp.class_Groups_Omonoid__add @t7)) % 1.20/1.41 (define @t157 () (tptp.c_Groups_Oplus__class_Oplus @t21 @t27 @t27)) % 1.20/1.41 (define @t158 () (tptp.class_Groups_Olinordered__ab__group__add @t21)) % 1.20/1.41 (define @t159 () (@list @t27 @t21)) % 1.20/1.41 (define @t160 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t18 @t12) @t12)) % 1.20/1.41 (define @t161 () (tptp.c_Polynomial_Osmult @t7 @t12 @t79)) % 1.20/1.41 (define @t162 () (@list @t79 @t88 @t12 @t7)) % 1.20/1.41 (define @t163 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t7 @t88 @t10)) % 1.20/1.41 (define @t164 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t91 @t90)) % 1.20/1.41 (define @t165 () (=> (= @t164 @t9) @t89)) % 1.20/1.41 (define @t166 () (=> @t11 @t165)) % 1.20/1.41 (define @t167 () (forall @t92 @t166)) % 1.20/1.41 (define @t168 () (@list @t60)) % 1.20/1.41 (define @t169 () (@var "V_nat_H_2" $$unsorted)) % 1.20/1.41 (define @t170 () (@var "V_y" $$unsorted)) % 1.20/1.41 (define @t171 () (= @t71 @t170)) % 1.20/1.41 (define @t172 () (@list @t170 @t71)) % 1.20/1.41 (define @t173 () (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t7 @t90 @t10) (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.c_Polynomial_Osmult @t7 @t10 @t163) (tptp.c_Polynomial_OpCons @t7 @t12 @t163)))) % 1.20/1.41 (define @t174 () (forall (@list @t10 @t88 @t12 @t7) (=> @t11 @t173))) % 1.20/1.41 (define @t175 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t21)) % 1.20/1.41 (define @t176 () (@list @t27 @t34 @t21)) % 1.20/1.41 (define @t177 () (tptp.class_Rings_Ocomm__semiring__1 @t7)) % 1.20/1.41 (define @t178 () (tptp.c_Groups_Otimes__class_Otimes @t8)) % 1.20/1.41 (define @t179 () (tptp.hAPP @t178 @t79)) % 1.20/1.41 (define @t180 () (tptp.hAPP @t178 @t88)) % 1.20/1.41 (define @t181 () (tptp.hAPP @t180 @t79)) % 1.20/1.41 (define @t182 () (tptp.c_Polynomial_OpCons @t7 @t18 @t181)) % 1.20/1.41 (define @t183 () (@list @t79 @t12 @t88 @t7)) % 1.20/1.41 (define @t184 () (tptp.c_Polynomial_Odegree @t7 @t88)) % 1.20/1.41 (define @t185 () (tptp.c_Nat_OSuc @t184)) % 1.20/1.41 (define @t186 () (tptp.c_Polynomial_Odegree @t7 @t90)) % 1.20/1.41 (define @t187 () (not @t89)) % 1.20/1.41 (define @t188 () (=> @t187 (= @t186 @t185))) % 1.20/1.41 (define @t189 () (@list @t12 @t88 @t7)) % 1.20/1.41 (define @t190 () (tptp.c_Groups_Otimes__class_Otimes @t7)) % 1.20/1.41 (define @t191 () (tptp.hAPP @t190 @t71)) % 1.20/1.41 (define @t192 () (@list @t71 @t88 @t12 @t7)) % 1.20/1.41 (define @t193 () (tptp.c_Polynomial_Odegree @t7 @t79)) % 1.20/1.41 (define @t194 () (tptp.hAPP @t146 @t193)) % 1.20/1.41 (define @t195 () (tptp.hAPP @t106 @t184)) % 1.20/1.41 (define @t196 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t184 @t193)) % 1.20/1.41 (define @t197 () (@list @t79 @t88 @t7)) % 1.20/1.41 (define @t198 () (tptp.c_Polynomial_Odegree @t7 @t181)) % 1.20/1.41 (define @t199 () (not (= @t79 @t9))) % 1.20/1.41 (define @t200 () (tptp.class_Rings_Oidom @t7)) % 1.20/1.41 (define @t201 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t82 @t60)) % 1.20/1.41 (define @t202 () (tptp.hAPP @t190 @t12)) % 1.20/1.41 (define @t203 () (tptp.hAPP @t202 @t121)) % 1.20/1.41 (define @t204 () (tptp.hAPP @t190 @t121)) % 1.20/1.41 (define @t205 () (tptp.hAPP @t204 @t81)) % 1.20/1.41 (define @t206 () (@var "V_ry" $$unsorted)) % 1.20/1.41 (define @t207 () (@var "V_ly" $$unsorted)) % 1.20/1.41 (define @t208 () (tptp.hAPP @t190 @t207)) % 1.20/1.41 (define @t209 () (@var "V_rx" $$unsorted)) % 1.20/1.41 (define @t210 () (@var "V_lx" $$unsorted)) % 1.20/1.41 (define @t211 () (tptp.hAPP @t190 @t210)) % 1.20/1.41 (define @t212 () (tptp.hAPP @t190 (tptp.hAPP @t211 @t209))) % 1.20/1.41 (define @t213 () (tptp.hAPP @t190 @t209)) % 1.20/1.41 (define @t214 () (tptp.hAPP @t213 @t206)) % 1.20/1.41 (define @t215 () (tptp.hAPP @t190 (tptp.hAPP @t211 @t207))) % 1.20/1.41 (define @t216 () (tptp.hAPP @t215 @t214)) % 1.20/1.41 (define @t217 () (@list @t206 @t209 @t207 @t210 @t7)) % 1.20/1.41 (define @t218 () (tptp.hAPP @t215 @t209)) % 1.20/1.41 (define @t219 () (@list @t209 @t207 @t210 @t7)) % 1.20/1.41 (define @t220 () (tptp.hAPP @t211 @t214)) % 1.20/1.41 (define @t221 () (@list @t206 @t209 @t210 @t7)) % 1.20/1.41 (define @t222 () (tptp.hAPP @t204 @t12)) % 1.20/1.41 (define @t223 () (@list @t121 @t12 @t7)) % 1.20/1.41 (define @t224 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.20/1.41 (define @t225 () (tptp.hAPP @t224 @t82)) % 1.20/1.41 (define @t226 () (tptp.hAPP @t225 @t60)) % 1.20/1.41 (define @t227 () (@list @t60 @t82)) % 1.20/1.41 (define @t228 () (tptp.hAPP @t190 @t18)) % 1.20/1.41 (define @t229 () (= (tptp.hAPP @t228 @t12) @t18)) % 1.20/1.41 (define @t230 () (= (tptp.hAPP @t202 @t18) @t18)) % 1.20/1.41 (define @t231 () (@var "V_w_2" $$unsorted)) % 1.20/1.41 (define @t232 () (tptp.c_Groups_Otimes__class_Otimes @t21)) % 1.20/1.41 (define @t233 () (tptp.hAPP @t232 @t46)) % 1.20/1.41 (define @t234 () (tptp.hAPP @t232 @t231)) % 1.20/1.41 (define @t235 () (tptp.hAPP @t190 @t128)) % 1.20/1.41 (define @t236 () (tptp.hAPP @t202 @t82)) % 1.20/1.41 (define @t237 () (tptp.hAPP @t202 @t81)) % 1.20/1.41 (define @t238 () (= (tptp.hAPP @t235 @t81) (tptp.c_Groups_Oplus__class_Oplus @t7 @t237 @t205))) % 1.20/1.41 (define @t239 () (tptp.hAPP @t232 @t34)) % 1.20/1.41 (define @t240 () (tptp.hAPP @t239 @t131)) % 1.20/1.41 (define @t241 () (@var "V_d_2" $$unsorted)) % 1.20/1.41 (define @t242 () (tptp.hAPP @t232 @t27)) % 1.20/1.41 (define @t243 () (tptp.hAPP @t242 @t131)) % 1.20/1.41 (define @t244 () (@var "V_z" $$unsorted)) % 1.20/1.41 (define @t245 () (tptp.hAPP @t191 @t170)) % 1.20/1.41 (define @t246 () (@list @t244 @t170 @t71 @t7)) % 1.20/1.41 (define @t247 () (= @t64 @t66)) % 1.20/1.41 (define @t248 () (@var "V_m_2" $$unsorted)) % 1.20/1.41 (define @t249 () (= @t248 @t66)) % 1.20/1.41 (define @t250 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t248 @t64)) % 1.20/1.41 (define @t251 () (@list @t64 @t248)) % 1.20/1.41 (define @t252 () (= @t60 @t66)) % 1.20/1.41 (define @t253 () (tptp.hAPP @t224 @t248)) % 1.20/1.41 (define @t254 () (tptp.hAPP @t253 @t64)) % 1.20/1.41 (define @t255 () (@var "V_k_2" $$unsorted)) % 1.20/1.41 (define @t256 () (= @t255 @t66)) % 1.20/1.41 (define @t257 () (= @t248 @t64)) % 1.20/1.41 (define @t258 () (or @t257 @t256)) % 1.20/1.41 (define @t259 () (tptp.hAPP @t224 @t255)) % 1.20/1.41 (define @t260 () (tptp.hAPP @t259 @t64)) % 1.20/1.41 (define @t261 () (tptp.hAPP @t259 @t248)) % 1.20/1.41 (define @t262 () (= @t261 @t260)) % 1.20/1.41 (define @t263 () (@list @t64 @t248 @t255)) % 1.20/1.41 (define @t264 () (tptp.hAPP @t224 @t64)) % 1.20/1.41 (define @t265 () (tptp.hAPP @t264 @t255)) % 1.20/1.41 (define @t266 () (tptp.hAPP @t253 @t255)) % 1.20/1.41 (define @t267 () (@list @t64 @t255 @t248)) % 1.20/1.41 (define @t268 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t82 @t77)) % 1.20/1.41 (define @t269 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t115 @t60)) % 1.20/1.41 (define @t270 () (tptp.c_Nat_OSuc @t201)) % 1.20/1.41 (define @t271 () (tptp.hAPP @t224 (tptp.c_Nat_OSuc @t255))) % 1.20/1.41 (define @t272 () (tptp.hAPP @t271 @t64)) % 1.20/1.41 (define @t273 () (tptp.hAPP @t271 @t248)) % 1.20/1.41 (define @t274 () (tptp.c_Polynomial_Osmult @t7 @t12 @t181)) % 1.20/1.41 (define @t275 () (@var "V_d" $$unsorted)) % 1.20/1.41 (define @t276 () (tptp.hAPP @t190 @t119)) % 1.20/1.41 (define @t277 () (= @t12 @t121)) % 1.20/1.41 (define @t278 () (= @t73 @t26)) % 1.20/1.41 (define @t279 () (and @t47 @t278)) % 1.20/1.41 (define @t280 () (tptp.hAPP @t233 @t46)) % 1.20/1.41 (define @t281 () (tptp.c_Groups_Oplus__class_Oplus @t21 @t280 (tptp.hAPP (tptp.hAPP @t232 @t73) @t73))) % 1.20/1.41 (define @t282 () (tptp.class_Rings_Olinordered__ring__strict @t21)) % 1.20/1.41 (define @t283 () (tptp.c_Polynomial_Odegree @t7 @t76)) % 1.20/1.41 (define @t284 () (= @t12 @t18)) % 1.20/1.41 (define @t285 () (not @t284)) % 1.20/1.41 (define @t286 () (tptp.c_Nat_OSuc @t66)) % 1.20/1.41 (define @t287 () (= @t64 @t286)) % 1.20/1.41 (define @t288 () (= @t248 @t286)) % 1.20/1.41 (define @t289 () (or (and @t288 @t247) (and @t249 @t287))) % 1.20/1.41 (define @t290 () (@list @t60 @t121 @t12 @t7)) % 1.20/1.41 (define @t291 () (tptp.c_Polynomial_Odegree @t7 @t144)) % 1.20/1.41 (define @t292 () (tptp.c_Polynomial_Odegree @t21 @t24)) % 1.20/1.41 (define @t293 () (tptp.hAPP @t97 @t292)) % 1.20/1.41 (define @t294 () (@list @t131 @t24 @t21)) % 1.20/1.41 (define @t295 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t121 @t275)) % 1.20/1.41 (define @t296 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t81 @t275)) % 1.20/1.41 (define @t297 () (@list @t275 @t81 @t121 @t12 @t7)) % 1.20/1.41 (define @t298 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t296)) % 1.20/1.41 (define @t299 () (@list @t275 @t81 @t12 @t7)) % 1.20/1.41 (define @t300 () (@var "V_e" $$unsorted)) % 1.20/1.41 (define @t301 () (@var "V_ya" $$unsorted)) % 1.20/1.41 (define @t302 () (tptp.hAPP @t190 @t170)) % 1.20/1.41 (define @t303 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t71 @t170)) % 1.20/1.41 (define @t304 () (tptp.class_RealVector_Oreal__normed__algebra @t7)) % 1.20/1.41 (define @t305 () (@var "V_a_H" $$unsorted)) % 1.20/1.41 (define @t306 () (tptp.hAPP @t190 @t305)) % 1.20/1.41 (define @t307 () (@var "V_xa" $$unsorted)) % 1.20/1.41 (define @t308 () (tptp.hAPP @t190 @t307)) % 1.20/1.41 (define @t309 () (tptp.hAPP @t308 @t71)) % 1.20/1.41 (define @t310 () (@var "V_b_H" $$unsorted)) % 1.20/1.41 (define @t311 () (tptp.class_Rings_Omult__zero @t7)) % 1.20/1.41 (define @t312 () (@list @t170 @t7)) % 1.20/1.41 (define @t313 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t60 @t82)) % 1.20/1.41 (define @t314 () (tptp.hAPP @t224 @t60)) % 1.20/1.41 (define @t315 () (tptp.hAPP @t314 @t82)) % 1.20/1.41 (define @t316 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 @t244)) % 1.20/1.41 (define @t317 () (@list @t244 @t170 @t71)) % 1.20/1.41 (define @t318 () (@var "V_k" $$unsorted)) % 1.20/1.41 (define @t319 () (tptp.hAPP @t224 @t318)) % 1.20/1.41 (define @t320 () (tptp.hAPP @t319 @t60)) % 1.20/1.41 (define @t321 () (tptp.hAPP @t319 @t82)) % 1.20/1.41 (define @t322 () (@list @t60 @t82 @t318)) % 1.20/1.41 (define @t323 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t60 @t318)) % 1.20/1.41 (define @t324 () (@list @t318 @t60 @t82)) % 1.20/1.41 (define @t325 () (tptp.hAPP @t314 @t318)) % 1.20/1.41 (define @t326 () (tptp.hAPP @t225 @t318)) % 1.20/1.41 (define @t327 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t255 @t64)) % 1.20/1.41 (define @t328 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t255 @t248)) % 1.20/1.41 (define @t329 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t64 @t255)) % 1.20/1.41 (define @t330 () (= @t121 @t18)) % 1.20/1.41 (define @t331 () (= @t203 @t18)) % 1.20/1.41 (define @t332 () (tptp.class_Rings_Ono__zero__divisors @t7)) % 1.20/1.41 (define @t333 () (not @t330)) % 1.20/1.41 (define @t334 () (tptp.hAPP @t242 @t34)) % 1.20/1.41 (define @t335 () (@list @t34 @t27 @t21)) % 1.20/1.41 (define @t336 () (@var "V_u" $$unsorted)) % 1.20/1.41 (define @t337 () (@var "V_j" $$unsorted)) % 1.20/1.41 (define @t338 () (@var "V_i" $$unsorted)) % 1.20/1.41 (define @t339 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t338 @t337)) % 1.20/1.41 (define @t340 () (tptp.hAPP @t224 @t337)) % 1.20/1.41 (define @t341 () (tptp.hAPP @t224 @t338)) % 1.20/1.41 (define @t342 () (@var "V_nat" $$unsorted)) % 1.20/1.41 (define @t343 () (tptp.c_Nat_OSuc @t342)) % 1.20/1.41 (define @t344 () (@list @t342)) % 1.20/1.41 (define @t345 () (tptp.hAPP @t224 @t184)) % 1.20/1.41 (define @t346 () (tptp.c_Polynomial_Oorder @t7 @t12 @t88)) % 1.20/1.41 (define @t347 () (tptp.c_Groups_Oone__class_Oone @t7)) % 1.20/1.41 (define @t348 () (tptp.c_Polynomial_OpCons @t7 @t347 @t9)) % 1.20/1.41 (define @t349 () (tptp.class_Rings_Ocomm__ring__1 @t7)) % 1.20/1.41 (define @t350 () (tptp.c_Groups_Oone__class_Oone @t21)) % 1.20/1.41 (define @t351 () (= @t46 @t350)) % 1.20/1.41 (define @t352 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t347)) % 1.20/1.41 (define @t353 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t71)) % 1.20/1.41 (define @t354 () (tptp.class_Rings_Olinordered__semidom @t7)) % 1.20/1.41 (define @t355 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t88)) % 1.20/1.41 (define @t356 () (tptp.class_Rings_Ocomm__ring @t7)) % 1.20/1.41 (define @t357 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t12)) % 1.20/1.41 (define @t358 () (tptp.class_Groups_Oab__group__add @t7)) % 1.20/1.41 (define @t359 () (tptp.c_Groups_Oone__class_Oone @t8)) % 1.20/1.41 (define @t360 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t60 @t82)) % 1.20/1.41 (define @t361 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t82 @t60)) % 1.20/1.41 (define @t362 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t338 @t337)) % 1.20/1.41 (define @t363 () (@list @t318 @t337 @t338)) % 1.20/1.41 (define @t364 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t27 @t26)) % 1.20/1.41 (define @t365 () (tptp.c_Groups_Ouminus__class_Ouminus @t21 @t27)) % 1.20/1.41 (define @t366 () (tptp.class_Groups_Oordered__ab__group__add @t21)) % 1.20/1.41 (define @t367 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t26 @t27)) % 1.20/1.41 (define @t368 () (tptp.class_Groups_Ogroup__add @t7)) % 1.20/1.41 (define @t369 () (tptp.c_Groups_Ouminus__class_Ouminus @t21 @t34)) % 1.20/1.41 (define @t370 () (= @t27 @t369)) % 1.20/1.41 (define @t371 () (tptp.class_Groups_Ogroup__add @t21)) % 1.20/1.41 (define @t372 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t27 @t34)) % 1.20/1.41 (define @t373 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t121)) % 1.20/1.41 (define @t374 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t12 @t121)) % 1.20/1.41 (define @t375 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t144)) % 1.20/1.41 (define @t376 () (@list @t60 @t88 @t7)) % 1.20/1.41 (define @t377 () (tptp.class_Groups_Oab__group__add @t21)) % 1.20/1.41 (define @t378 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t170 @t347)) % 1.20/1.41 (define @t379 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t170)) % 1.20/1.41 (define @t380 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t71)) % 1.20/1.41 (define @t381 () (tptp.class_Rings_Olinordered__idom @t7)) % 1.20/1.41 (define @t382 () (@list @t170 @t71 @t7)) % 1.20/1.41 (define @t383 () (tptp.hAPP @t190 @t357)) % 1.20/1.41 (define @t384 () (tptp.class_Rings_Oring @t7)) % 1.20/1.41 (define @t385 () (tptp.hAPP @t202 @t373)) % 1.20/1.41 (define @t386 () (tptp.hAPP @t383 @t121)) % 1.20/1.41 (define @t387 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t203)) % 1.20/1.41 (define @t388 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t128)) % 1.20/1.41 (define @t389 () (tptp.class_Rings_Ozero__neq__one @t7)) % 1.20/1.41 (define @t390 () (= (tptp.hAPP (tptp.hAPP @t190 @t347) @t12) @t12)) % 1.20/1.41 (define @t391 () (tptp.class_Groups_Omonoid__mult @t7)) % 1.20/1.41 (define @t392 () (tptp.class_Groups_Ocomm__monoid__mult @t7)) % 1.20/1.41 (define @t393 () (= (tptp.hAPP @t202 @t347) @t12)) % 1.20/1.41 (define @t394 () (tptp.c_Groups_Oplus__class_Oplus @t21 @t34 @t131)) % 1.20/1.41 (define @t395 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t21)) % 1.20/1.41 (define @t396 () (@list @t34 @t131 @t27 @t21)) % 1.20/1.41 (define @t397 () (tptp.c_Groups_Oplus__class_Oplus @t21 @t131 @t34)) % 1.20/1.41 (define @t398 () (@list @t34 @t27 @t131 @t21)) % 1.20/1.41 (define @t399 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t127 @t138)) % 1.20/1.41 (define @t400 () (tptp.class_Groups_Oordered__ab__semigroup__add @t7)) % 1.20/1.41 (define @t401 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t81 @t121)) % 1.20/1.41 (define @t402 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t123 @t401)) % 1.20/1.41 (define @t403 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t81 @t275)) % 1.20/1.41 (define @t404 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t7)) % 1.20/1.41 (define @t405 () (@list @t121 @t81 @t12 @t7)) % 1.20/1.41 (define @t406 () (@list @t121 @t12 @t81 @t7)) % 1.20/1.41 (define @t407 () (@list @t64)) % 1.20/1.41 (define @t408 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t115 @t60)) % 1.20/1.41 (define @t409 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t82 @t77)) % 1.20/1.41 (define @t410 () (tptp.c_Nat_OSuc @t248)) % 1.20/1.41 (define @t411 () (tptp.c_Nat_OSuc @t64)) % 1.20/1.41 (define @t412 () (@list @t248 @t64)) % 1.20/1.41 (define @t413 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t248 @t64)) % 1.20/1.41 (define @t414 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t411 @t248)) % 1.20/1.41 (define @t415 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 @t60)) % 1.20/1.41 (define @t416 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t82 @t318)) % 1.20/1.41 (define @t417 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t416 @t60)) % 1.20/1.41 (define @t418 () (@list @t60 @t318 @t82)) % 1.20/1.41 (define @t419 () (@var "V_l" $$unsorted)) % 1.20/1.41 (define @t420 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t337 @t419)) % 1.20/1.41 (define @t421 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t338 @t318)) % 1.20/1.41 (define @t422 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 @t419)) % 1.20/1.41 (define @t423 () (@list @t419 @t318 @t337 @t338)) % 1.20/1.41 (define @t424 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t337 @t318)) % 1.20/1.41 (define @t425 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t82 @t337)) % 1.20/1.41 (define @t426 () (@list @t82 @t337 @t338)) % 1.20/1.41 (define @t427 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t337 @t82)) % 1.20/1.41 (define @t428 () (@var "B_k" $$unsorted)) % 1.20/1.41 (define @t429 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t248 @t428)) % 1.20/1.41 (define @t430 () (@list @t428)) % 1.20/1.41 (define @t431 () (@list @t82 @t60)) % 1.20/1.41 (define @t432 () (tptp.hAPP @t341 @t318)) % 1.20/1.41 (define @t433 () (tptp.hAPP @t319 @t337)) % 1.20/1.41 (define @t434 () (tptp.hAPP @t319 @t338)) % 1.20/1.41 (define @t435 () (tptp.hAPP @t340 @t318)) % 1.20/1.41 (define @t436 () (tptp.hAPP @t225 @t82)) % 1.20/1.41 (define @t437 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.20/1.41 (define @t438 () (= @t64 @t437)) % 1.20/1.41 (define @t439 () (= @t248 @t437)) % 1.20/1.41 (define @t440 () (and @t439 @t438)) % 1.20/1.41 (define @t441 () (@var "V_v" $$unsorted)) % 1.20/1.41 (define @t442 () (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP (tptp.hAPP @t190 @t336) @t71) (tptp.hAPP (tptp.hAPP @t190 @t441) @t170))) % 1.20/1.41 (define @t443 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t336 @t441) @t347)) % 1.20/1.41 (define @t444 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t441)) % 1.20/1.41 (define @t445 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t336)) % 1.20/1.41 (define @t446 () (@list @t441 @t336 @t170 @t12 @t71 @t7)) % 1.20/1.41 (define @t447 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t359) @t60)) % 1.20/1.41 (define @t448 () (not @t252)) % 1.20/1.41 (define @t449 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t357 @t12) @t18)) % 1.20/1.41 (define @t450 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t203 @t18)) % 1.20/1.41 (define @t451 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t121)) % 1.20/1.41 (define @t452 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t12 @t18)) % 1.20/1.41 (define @t453 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t121 @t18)) % 1.20/1.41 (define @t454 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t12)) % 1.20/1.41 (define @t455 () (tptp.class_Rings_Oordered__cancel__semiring @t7)) % 1.20/1.41 (define @t456 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t203)) % 1.20/1.41 (define @t457 () (tptp.class_Rings_Oordered__ring @t7)) % 1.20/1.41 (define @t458 () (tptp.hAPP @t204 @t275)) % 1.20/1.41 (define @t459 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t81)) % 1.20/1.41 (define @t460 () (=> @t459 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t237 @t458))) % 1.20/1.41 (define @t461 () (tptp.class_Rings_Oordered__semiring @t7)) % 1.20/1.41 (define @t462 () (tptp.hAPP @t190 @t81)) % 1.20/1.41 (define @t463 () (tptp.hAPP @t462 @t121)) % 1.20/1.41 (define @t464 () (tptp.hAPP @t462 @t12)) % 1.20/1.41 (define @t465 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t464 @t463)) % 1.20/1.41 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t81 @t18)) % 1.20/1.41 (define @t467 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t121 @t12)) % 1.20/1.41 (define @t468 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t237 @t205)) % 1.20/1.41 (define @t469 () (=> @t374 (=> @t459 @t465))) % 1.20/1.41 (define @t470 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t26 @t34)) % 1.20/1.41 (define @t471 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t34 @t26)) % 1.20/1.41 (define @t472 () (tptp.hAPP @t202 @t12)) % 1.20/1.41 (define @t473 () (tptp.class_Rings_Olinordered__ring @t7)) % 1.20/1.41 (define @t474 () (tptp.class_Groups_Oordered__comm__monoid__add @t7)) % 1.20/1.41 (define @t475 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t121 @t127)) % 1.20/1.41 (define @t476 () (@list @t12 @t121 @t81 @t7)) % 1.20/1.41 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t121 @t81)) % 1.20/1.41 (define @t478 () (= (tptp.c_Groups_Oplus__class_Oplus @t21 @t46 @t73) @t26)) % 1.20/1.41 (define @t479 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t347 @t347)) % 1.20/1.41 (define @t480 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t347)) % 1.20/1.41 (define @t481 () (tptp.hAPP (tptp.hAPP @t190 @t480) @t82)) % 1.20/1.41 (define @t482 () (tptp.c_Polynomial_Odegree @t7 @t141)) % 1.20/1.41 (define @t483 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t184 @t60)) % 1.20/1.41 (define @t484 () (@list @t79 @t60 @t88 @t7)) % 1.20/1.41 (define @t485 () (tptp.hAPP @t191 @t71)) % 1.20/1.41 (define @t486 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t485 (tptp.hAPP @t302 @t170))) % 1.20/1.41 (define @t487 () (= @t107 @t18)) % 1.20/1.41 (define @t488 () (tptp.c_Groups_Ouminus__class_Ouminus @t21 @t46)) % 1.20/1.41 (define @t489 () (tptp.class_Orderings_Opreorder @t7)) % 1.20/1.41 (define @t490 () (@var "V_l_2" $$unsorted)) % 1.20/1.41 (define @t491 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t71 @t316)) % 1.20/1.41 (define @t492 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t71 @t170)) % 1.20/1.41 (define @t493 () (@list @t170 @t244 @t71)) % 1.20/1.41 (define @t494 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t71 @t170)) % 1.20/1.41 (define @t495 () (tptp.class_Lattices_Oboolean__algebra @t7)) % 1.20/1.41 (define @t496 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t73 @t46)) % 1.20/1.41 (define @t497 () (tptp.c_Groups_Ouminus__class_Ouminus @t21 @t73)) % 1.20/1.41 (define @t498 () (tptp.class_Lattices_Oboolean__algebra @t21)) % 1.20/1.41 (define @t499 () (tptp.c_Polynomial_Opoly__gcd @t7 @t71 @t170)) % 1.20/1.41 (define @t500 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t499) (tptp.c_Polynomial_Odegree @t7 @t499))) % 1.20/1.41 (define @t501 () (= @t170 @t9)) % 1.20/1.41 (define @t502 () (and (= @t71 @t9) @t501)) % 1.20/1.41 (define @t503 () (not @t502)) % 1.20/1.41 (define @t504 () (tptp.class_Fields_Ofield @t7)) % 1.20/1.41 (define @t505 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t170)) % 1.20/1.41 (define @t506 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t71)) % 1.20/1.41 (define @t507 () (tptp.c_Polynomial_Opoly__gcd @t7 @t12 (tptp.c_Polynomial_Opoly__gcd @t7 @t121 @t81))) % 1.20/1.41 (define @t508 () (tptp.c_Polynomial_Opoly__gcd @t7 @t12 @t121)) % 1.20/1.41 (define @t509 () (= @t73 @t23)) % 1.20/1.41 (define @t510 () (tptp.c_Polynomial_Opoly__gcd @t21 @t46 @t73)) % 1.20/1.41 (define @t511 () (tptp.class_Fields_Ofield @t21)) % 1.20/1.41 (define @t512 () (tptp.tc_fun @t21 @t39)) % 1.20/1.41 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq @t512 @t2 @t1)) % 1.20/1.41 (define @t514 () (tptp.class_Orderings_Oord @t39)) % 1.20/1.41 (define @t515 () (@list @t1 @t2 @t21 @t39)) % 1.20/1.41 (define @t516 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t170 @t71)) % 1.20/1.41 (define @t517 () (tptp.class_Orderings_Olinorder @t7)) % 1.20/1.41 (define @t518 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t46 @t73)) % 1.20/1.41 (define @t519 () (tptp.class_Orderings_Oorder @t21)) % 1.20/1.41 (define @t520 () (= @t518 @t74)) % 1.20/1.41 (define @t521 () (@list @t46 @t73 @t21)) % 1.20/1.41 (define @t522 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t12 @t81)) % 1.20/1.41 (define @t523 () (tptp.class_Orderings_Oord @t7)) % 1.20/1.41 (define @t524 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t81 @t12)) % 1.20/1.41 (define @t525 () (tptp.class_Orderings_Oorder @t7)) % 1.20/1.41 (define @t526 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t170 @t244)) % 1.20/1.41 (define @t527 () (@list @t71 @t170 @t7)) % 1.20/1.41 (define @t528 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t244 @t170)) % 1.20/1.41 (define @t529 () (@list @t244 @t71 @t170 @t7)) % 1.20/1.41 (define @t530 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t7)) % 1.20/1.41 (define @t531 () (@var "V_A_2" $$unsorted)) % 1.20/1.41 (define @t532 () (tptp.c_Groups_Ouminus__class_Ouminus @t21 @t131)) % 1.20/1.41 (define @t533 () (tptp.c_Polynomial_OpCons @t21 @t350 @t23)) % 1.20/1.41 (define @t534 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t184 @t60)) % 1.20/1.41 (define @t535 () (tptp.c_Polynomial_Odegree @t7 @t71)) % 1.20/1.41 (define @t536 () (tptp.c_Polynomial_Osmult @t7 (tptp.c_Rings_Oinverse__class_Oinverse @t7 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t71) @t535)) @t71)) % 1.20/1.41 (define @t537 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t115 @t77)) % 1.20/1.41 (define @t538 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t82 @t60)) % 1.20/1.41 (define @t539 () (tptp.c_Orderings_Oord__class_Oless @t21 @t73 @t46)) % 1.20/1.41 (define @t540 () (tptp.c_Orderings_Oord__class_Oless @t21 @t46 @t73)) % 1.20/1.41 (define @t541 () (not @t74)) % 1.20/1.41 (define @t542 () (tptp.class_Orderings_Olinorder @t21)) % 1.20/1.41 (define @t543 () (not @t540)) % 1.20/1.41 (define @t544 () (tptp.c_Orderings_Oord__class_Oless @t7 @t170 @t71)) % 1.20/1.41 (define @t545 () (tptp.c_Orderings_Oord__class_Oless @t7 @t71 @t170)) % 1.20/1.41 (define @t546 () (= @t543 @t74)) % 1.20/1.41 (define @t547 () (not @t545)) % 1.20/1.41 (define @t548 () (not @t171)) % 1.20/1.41 (define @t549 () (=> @t548 (=> @t547 @t544))) % 1.20/1.41 (define @t550 () (not (= @t170 @t71))) % 1.20/1.41 (define @t551 () (tptp.c_Orderings_Oord__class_Oless @t7 @t121 @t12)) % 1.20/1.41 (define @t552 () (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t121)) % 1.20/1.41 (define @t553 () (@list @t12 @t121 @t7)) % 1.20/1.41 (define @t554 () (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t81)) % 1.20/1.41 (define @t555 () (tptp.c_Orderings_Oord__class_Oless @t7 @t121 @t81)) % 1.20/1.41 (define @t556 () (tptp.c_Orderings_Oord__class_Oless @t7 @t81 @t12)) % 1.20/1.41 (define @t557 () (tptp.c_Orderings_Oord__class_Oless @t7 @t71 @t244)) % 1.20/1.41 (define @t558 () (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t170 @t244) @t557)) % 1.20/1.41 (define @t559 () (tptp.c_Orderings_Oord__class_Oless @t7 @t244 @t71)) % 1.20/1.41 (define @t560 () (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t244 @t170) @t559)) % 1.20/1.41 (define @t561 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t121 @t81)) % 1.20/1.41 (define @t562 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t203 @t81)) % 1.20/1.41 (define @t563 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t81)) % 1.20/1.41 (define @t564 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t121)) % 1.20/1.41 (define @t565 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t205)) % 1.20/1.41 (define @t566 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t18) @t18)) % 1.20/1.41 (define @t567 () (tptp.class_Rings_Odivision__ring__inverse__zero @t7)) % 1.20/1.41 (define @t568 () (tptp.c_Rings_Oinverse__class_Oinverse @t21 @t27)) % 1.20/1.41 (define @t569 () (tptp.class_Rings_Odivision__ring__inverse__zero @t21)) % 1.20/1.41 (define @t570 () (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t12)) % 1.20/1.41 (define @t571 () (= @t570 @t18)) % 1.20/1.41 (define @t572 () (tptp.class_Rings_Odivision__ring @t7)) % 1.20/1.41 (define @t573 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t570) @t12)) % 1.20/1.41 (define @t574 () (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t121)) % 1.20/1.41 (define @t575 () (= @t570 @t574)) % 1.20/1.41 (define @t576 () (tptp.c_Rings_Odvd__class_Odvd @t21 @t46 @t73)) % 1.20/1.41 (define @t577 () (tptp.class_Rings_Ocomm__ring__1 @t21)) % 1.20/1.41 (define @t578 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t357) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t570))) % 1.20/1.41 (define @t579 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t64 @t248)) % 1.20/1.41 (define @t580 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t248 @t64)) % 1.20/1.41 (define @t581 () (not @t257)) % 1.20/1.41 (define @t582 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t71 @t170)) % 1.20/1.41 (define @t583 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t82)) % 1.20/1.41 (define @t584 () (@var "V_t" $$unsorted)) % 1.20/1.41 (define @t585 () (@var "V_s" $$unsorted)) % 1.20/1.41 (define @t586 () (tptp.hAPP @t57 @t64)) % 1.20/1.41 (define @t587 () (tptp.hBOOL (tptp.hAPP @t586 @t248))) % 1.20/1.41 (define @t588 () (not @t277)) % 1.20/1.41 (define @t589 () (tptp.c_Orderings_Oord__class_Oless @t21 @t27 @t34)) % 1.20/1.41 (define @t590 () (tptp.c_Orderings_Oord__class_Oless @t7 @t127 @t138)) % 1.20/1.41 (define @t591 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t7)) % 1.20/1.41 (define @t592 () (tptp.c_Orderings_Oord__class_Oless @t7 @t123 @t401)) % 1.20/1.41 (define @t593 () (tptp.c_Orderings_Oord__class_Oless @t7 @t127 @t295)) % 1.20/1.41 (define @t594 () (tptp.c_Orderings_Oord__class_Oless @t7 @t81 @t275)) % 1.20/1.41 (define @t595 () (=> @t594 @t593)) % 1.20/1.41 (define @t596 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t64)) % 1.20/1.41 (define @t597 () (not @t247)) % 1.20/1.41 (define @t598 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t60)) % 1.20/1.41 (define @t599 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t88 @t161)) % 1.20/1.41 (define @t600 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t88 @t79)) % 1.20/1.41 (define @t601 () (@list @t12 @t79 @t88 @t7)) % 1.20/1.41 (define @t602 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t144 @t79)) % 1.20/1.41 (define @t603 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t115 @t60)) % 1.20/1.41 (define @t604 () (not @t538)) % 1.20/1.41 (define @t605 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t82 @t77)) % 1.20/1.41 (define @t606 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t338 @t337)) % 1.20/1.41 (define @t607 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t64 @t410)) % 1.20/1.41 (define @t608 () (= @t607 (= @t64 @t248))) % 1.20/1.41 (define @t609 () (or @t580 @t257)) % 1.20/1.41 (define @t610 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t248 @t411)) % 1.20/1.41 (define @t611 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t60)) % 1.20/1.41 (define @t612 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t419)) % 1.20/1.41 (define @t613 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t337 @t338)) % 1.20/1.41 (define @t614 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t71 @t316)) % 1.20/1.41 (define @t615 () (tptp.c_Rings_Odvd__class_Odvd @t21 @t27 @t34)) % 1.20/1.41 (define @t616 () (or (= @t131 @t26) @t615)) % 1.20/1.41 (define @t617 () (tptp.hAPP @t232 @t131)) % 1.20/1.41 (define @t618 () (tptp.hAPP @t617 @t34)) % 1.20/1.41 (define @t619 () (tptp.hAPP @t617 @t27)) % 1.20/1.41 (define @t620 () (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t203)) % 1.20/1.41 (define @t621 () (tptp.c_Rings_Odvd__class_Odvd @t22 @t24 @t32)) % 1.20/1.41 (define @t622 () (not @t28)) % 1.20/1.41 (define @t623 () (@list @t32 @t24 @t27 @t21)) % 1.20/1.41 (define @t624 () (tptp.c_Orderings_Oord__class_Oless @t7 @t464 @t463)) % 1.20/1.41 (define @t625 () (tptp.c_Orderings_Oord__class_Oless @t7 @t81 @t18)) % 1.20/1.41 (define @t626 () (tptp.class_Rings_Olinordered__ring__strict @t7)) % 1.20/1.41 (define @t627 () (tptp.c_Orderings_Oord__class_Oless @t7 @t237 @t205)) % 1.20/1.41 (define @t628 () (tptp.c_Orderings_Oord__class_Oless @t7 @t18 @t81)) % 1.20/1.41 (define @t629 () (=> @t552 (=> @t628 @t624))) % 1.20/1.41 (define @t630 () (tptp.class_Rings_Olinordered__semiring__strict @t7)) % 1.20/1.41 (define @t631 () (tptp.c_Orderings_Oord__class_Oless @t7 @t18 @t203)) % 1.20/1.41 (define @t632 () (tptp.c_Orderings_Oord__class_Oless @t7 @t121 @t18)) % 1.20/1.41 (define @t633 () (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t18)) % 1.20/1.41 (define @t634 () (tptp.c_Orderings_Oord__class_Oless @t7 @t203 @t18)) % 1.20/1.41 (define @t635 () (tptp.c_Orderings_Oord__class_Oless @t7 @t18 @t121)) % 1.20/1.41 (define @t636 () (tptp.c_Orderings_Oord__class_Oless @t21 @t34 @t27)) % 1.20/1.41 (define @t637 () (tptp.c_Orderings_Oord__class_Oless @t21 @t619 @t618)) % 1.20/1.41 (define @t638 () (tptp.c_Orderings_Oord__class_Oless @t21 @t131 @t26)) % 1.20/1.41 (define @t639 () (tptp.c_Orderings_Oord__class_Oless @t7 @t18 @t12)) % 1.20/1.41 (define @t640 () (=> @t639 @t635)) % 1.20/1.41 (define @t641 () (tptp.c_Orderings_Oord__class_Oless @t21 @t26 @t131)) % 1.20/1.41 (define @t642 () (or (and @t641 @t589) (and @t638 @t636))) % 1.20/1.41 (define @t643 () (tptp.c_Orderings_Oord__class_Oless @t21 @t27 @t26)) % 1.20/1.41 (define @t644 () (= (tptp.c_Orderings_Oord__class_Oless @t21 @t157 @t26) @t643)) % 1.20/1.41 (define @t645 () (tptp.class_Rings_Olinordered__idom @t21)) % 1.20/1.41 (define @t646 () (tptp.c_Orderings_Oord__class_Oless @t7 @t128 @t18)) % 1.20/1.41 (define @t647 () (=> @t632 @t646)) % 1.20/1.41 (define @t648 () (tptp.c_Orderings_Oord__class_Oless @t7 @t18 @t128)) % 1.20/1.41 (define @t649 () (=> @t635 @t648)) % 1.20/1.41 (define @t650 () (tptp.c_Orderings_Oord__class_Oless @t21 @t26 @t27)) % 1.20/1.41 (define @t651 () (tptp.c_Orderings_Oord__class_Oless @t7 @t121 @t127)) % 1.20/1.41 (define @t652 () (=> @t555 @t651)) % 1.20/1.41 (define @t653 () (@var "B_m" $$unsorted)) % 1.20/1.41 (define @t654 () (@var "B_j" $$unsorted)) % 1.20/1.41 (define @t655 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t248)) % 1.20/1.41 (define @t656 () (@list @t82 @t338)) % 1.20/1.41 (define @t657 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t261 @t260)) % 1.20/1.41 (define @t658 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t255)) % 1.20/1.41 (define @t659 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t318)) % 1.20/1.41 (define @t660 () (and @t658 @t580)) % 1.20/1.41 (define @t661 () (tptp.hAPP @t190 @t570)) % 1.20/1.41 (define @t662 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t570 @t574)) % 1.20/1.41 (define @t663 () (=> @t285 (= (tptp.hAPP @t661 @t12) @t347))) % 1.20/1.41 (define @t664 () (=> @t628 @t374)) % 1.20/1.41 (define @t665 () (=> @t459 @t552)) % 1.20/1.41 (define @t666 () (=> @t624 @t665)) % 1.20/1.41 (define @t667 () (tptp.class_Rings_Olinordered__semiring @t7)) % 1.20/1.41 (define @t668 () (=> @t627 @t665)) % 1.20/1.41 (define @t669 () (tptp.c_Orderings_Oord__class_Oless @t7 @t237 @t458)) % 1.20/1.41 (define @t670 () (=> @t459 @t669)) % 1.20/1.41 (define @t671 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t619 @t618)) % 1.20/1.41 (define @t672 () (= @t32 @t23)) % 1.20/1.41 (define @t673 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t286 @t82)) % 1.20/1.41 (define @t674 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t286 @t60)) % 1.20/1.41 (define @t675 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t261 @t260)) % 1.20/1.41 (define @t676 () (=> @t658 @t413)) % 1.20/1.41 (define @t677 () (tptp.c_Orderings_Oord__class_Oless @t21 @t26 @t46)) % 1.20/1.41 (define @t678 () (tptp.c_Rings_Oinverse__class_Oinverse @t21 @t46)) % 1.20/1.41 (define @t679 () (tptp.class_Fields_Olinordered__field__inverse__zero @t21)) % 1.20/1.41 (define @t680 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t46 @t26)) % 1.20/1.41 (define @t681 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t12 @t347)) % 1.20/1.41 (define @t682 () (tptp.class_Fields_Olinordered__field @t7)) % 1.20/1.41 (define @t683 () (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t347)) % 1.20/1.41 (define @t684 () (@list @t248)) % 1.20/1.41 (define @t685 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t60 @t82)) % 1.20/1.41 (define @t686 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t82)) % 1.20/1.41 (define @t687 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t248 @t64)) % 1.20/1.41 (define @t688 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t261 @t260)) % 1.20/1.41 (define @t689 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t318 @t60)) % 1.20/1.41 (define @t690 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t82 @t60)) % 1.20/1.41 (define @t691 () (tptp.class_Fields_Ofield__inverse__zero @t7)) % 1.20/1.41 (define @t692 () (tptp.c_Orderings_Oord__class_Oless @t7 @t18 @t570)) % 1.20/1.41 (define @t693 () (tptp.c_Orderings_Oord__class_Oless @t7 @t570 @t18)) % 1.20/1.41 (define @t694 () (tptp.c_Orderings_Oord__class_Oless @t7 @t574 @t570)) % 1.20/1.41 (define @t695 () (tptp.c_Orderings_Oord__class_Oless @t7 @t570 @t574)) % 1.20/1.41 (define @t696 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t574 @t570)) % 1.20/1.41 (define @t697 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t570 @t574)) % 1.20/1.41 (define @t698 () (tptp.hBOOL (tptp.hAPP @t57 @t3))) % 1.20/1.41 (define @t699 () (tptp.class_Rings_Odvd @t21)) % 1.20/1.41 (define @t700 () (tptp.c_Nat_OSuc @t286)) % 1.20/1.41 (define @t701 () (@list @t71)) % 1.20/1.41 (define @t702 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t275) (tptp.c_Polynomial_Odegree @t7 @t275))) % 1.20/1.41 (define @t703 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t73 @t46)) % 1.20/1.41 (define @t704 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t46 @t73)) % 1.20/1.41 (define @t705 () (@list @t73 @t46)) % 1.20/1.41 (define @t706 () (and @t704 (not @t703))) % 1.20/1.41 (define @t707 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t121 @t12)) % 1.20/1.41 (define @t708 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t12 @t121)) % 1.20/1.41 (define @t709 () (and @t708 (not @t707))) % 1.20/1.41 (define @t710 () (@list @t121 @t12)) % 1.20/1.41 (define @t711 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t71 @t170)) % 1.20/1.41 (define @t712 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t170 @t71)) % 1.20/1.41 (define @t713 () (and @t711 (not @t712))) % 1.20/1.41 (define @t714 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t12 @t81)) % 1.20/1.41 (define @t715 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t121 @t81)) % 1.20/1.41 (define @t716 () (@list @t81 @t121 @t12)) % 1.20/1.41 (define @t717 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t71 @t244)) % 1.20/1.41 (define @t718 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t170 @t244)) % 1.20/1.41 (define @t719 () (and @t714 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t81 @t12)))) % 1.20/1.41 (define @t720 () (and @t717 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t244 @t71)))) % 1.20/1.41 (define @t721 () (=> (and @t718 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t244 @t170))) @t720)) % 1.20/1.41 (define @t722 () (tptp.c_Power_Opower__class_Opower @t8)) % 1.20/1.41 (define @t723 () (tptp.hAPP @t722 (tptp.c_Polynomial_OpCons @t7 @t357 @t348))) % 1.20/1.41 (define @t724 () (not (tptp.c_Rings_Odvd__class_Odvd @t8 (tptp.hAPP @t723 (tptp.c_Nat_OSuc @t346)) @t88))) % 1.20/1.41 (define @t725 () (tptp.c_Rings_Odvd__class_Odvd @t8 (tptp.hAPP @t723 @t346) @t88)) % 1.20/1.41 (define @t726 () (tptp.c_Power_Opower__class_Opower @t7)) % 1.20/1.41 (define @t727 () (tptp.hAPP @t726 @t170)) % 1.20/1.41 (define @t728 () (tptp.hAPP @t726 @t71)) % 1.20/1.41 (define @t729 () (tptp.hAPP @t728 @t79)) % 1.20/1.41 (define @t730 () (tptp.hAPP @t190 @t729)) % 1.20/1.41 (define @t731 () (tptp.hAPP @t728 @t88)) % 1.20/1.41 (define @t732 () (@list @t79 @t88 @t71 @t7)) % 1.20/1.41 (define @t733 () (tptp.hAPP (tptp.hAPP @t722 @t88) @t60)) % 1.20/1.41 (define @t734 () (tptp.hAPP @t728 (tptp.c_Nat_OSuc @t79))) % 1.20/1.41 (define @t735 () (@list @t79 @t71 @t7)) % 1.20/1.41 (define @t736 () (tptp.hAPP @t191 @t729)) % 1.20/1.41 (define @t737 () (tptp.c_Power_Opower__class_Opower @t21)) % 1.20/1.41 (define @t738 () (tptp.hAPP @t728 @t60)) % 1.20/1.41 (define @t739 () (tptp.hAPP (tptp.hAPP @t722 (tptp.c_Polynomial_OpCons @t7 @t12 @t348)) @t60)) % 1.20/1.41 (define @t740 () (tptp.hAPP @t726 @t121)) % 1.20/1.41 (define @t741 () (tptp.hAPP @t740 @t60)) % 1.20/1.41 (define @t742 () (tptp.hAPP @t726 @t12)) % 1.20/1.41 (define @t743 () (tptp.hAPP @t742 @t60)) % 1.20/1.41 (define @t744 () (tptp.c_Orderings_Oord__class_Oless @t7 @t743 @t741)) % 1.20/1.41 (define @t745 () (@list @t71 @t60 @t7)) % 1.20/1.41 (define @t746 () (tptp.c_Orderings_Oord__class_Oless @t7 @t347 @t12)) % 1.20/1.41 (define @t747 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.20/1.41 (define @t748 () (@list @t121 @t60 @t12)) % 1.20/1.41 (define @t749 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.20/1.41 (define @t750 () (@list @t34 @t27 @t64)) % 1.20/1.41 (define @t751 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t46)) % 1.20/1.41 (define @t752 () (tptp.hAPP @t747 @t46)) % 1.20/1.41 (define @t753 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 (tptp.hAPP @t752 @t64))) % 1.20/1.41 (define @t754 () (@list @t64 @t46)) % 1.20/1.41 (define @t755 () (tptp.hAPP @t747 @t338)) % 1.20/1.41 (define @t756 () (tptp.hAPP @t755 @t60)) % 1.20/1.41 (define @t757 () (tptp.hAPP @t755 @t82)) % 1.20/1.41 (define @t758 () (@list @t60 @t82 @t338)) % 1.20/1.41 (define @t759 () (tptp.hAPP @t749 @t71)) % 1.20/1.41 (define @t760 () (tptp.hAPP @t759 @t170)) % 1.20/1.41 (define @t761 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.20/1.41 (define @t762 () (@list @t60 @t338)) % 1.20/1.41 (define @t763 () (tptp.hAPP @t202 @t743)) % 1.20/1.41 (define @t764 () (tptp.hAPP @t190 @t743)) % 1.20/1.41 (define @t765 () (tptp.hAPP @t764 @t12)) % 1.20/1.41 (define @t766 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t71 @t170)) % 1.20/1.41 (define @t767 () (tptp.hAPP @t742 @t82)) % 1.20/1.41 (define @t768 () (@list @t60 @t82 @t12 @t7)) % 1.20/1.41 (define @t769 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t743) (tptp.hAPP (tptp.hAPP @t726 @t570) @t60))) % 1.20/1.41 (define @t770 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t347 @t12)) % 1.20/1.41 (define @t771 () (tptp.hAPP @t737 @t27)) % 1.20/1.41 (define @t772 () (tptp.hAPP @t771 @t64)) % 1.20/1.41 (define @t773 () (tptp.class_Power_Opower @t21)) % 1.20/1.41 (define @t774 () (tptp.class_Rings_Olinordered__semidom @t21)) % 1.20/1.41 (define @t775 () (tptp.hAPP @t726 @t18)) % 1.20/1.41 (define @t776 () (tptp.class_Power_Opower @t7)) % 1.20/1.41 (define @t777 () (and @t776 (tptp.class_Rings_Osemiring__0 @t7))) % 1.20/1.41 (define @t778 () (tptp.hAPP @t742 @t77)) % 1.20/1.41 (define @t779 () (tptp.hAPP @t740 @t77)) % 1.20/1.41 (define @t780 () (tptp.hAPP @t775 @t60)) % 1.20/1.41 (define @t781 () (tptp.class_Rings_Oring__1 @t7)) % 1.20/1.41 (define @t782 () (tptp.hAPP @t737 @t34)) % 1.20/1.41 (define @t783 () (tptp.hAPP @t782 @t73)) % 1.20/1.41 (define @t784 () (tptp.hAPP @t782 @t46)) % 1.20/1.41 (define @t785 () (tptp.c_Orderings_Oord__class_Oless @t21 @t350 @t34)) % 1.20/1.41 (define @t786 () (@list @t73 @t46 @t34 @t21)) % 1.20/1.41 (define @t787 () (@var "V_N" $$unsorted)) % 1.20/1.41 (define @t788 () (tptp.hAPP @t742 @t787)) % 1.20/1.41 (define @t789 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t787)) % 1.20/1.41 (define @t790 () (@list @t12 @t787 @t60 @t7)) % 1.20/1.41 (define @t791 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t60 @t787)) % 1.20/1.41 (define @t792 () (@var "V_r_2" $$unsorted)) % 1.20/1.41 (define @t793 () (= @t792 @t23)) % 1.20/1.41 (define @t794 () (tptp.c_Polynomial_Opos__poly @t21 @t24)) % 1.20/1.41 (define @t795 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.20/1.41 (define @t796 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.20/1.41 (define @t797 () (@var "V_t_2" $$unsorted)) % 1.20/1.41 (define @t798 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t241 @t797)) % 1.20/1.41 (define @t799 () (@list @t797 @t241)) % 1.20/1.41 (define @t800 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t60 @t82)) % 1.20/1.41 (define @t801 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t82 @t60)) % 1.20/1.41 (define @t802 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t82)) % 1.20/1.41 (define @t803 () (tptp.hAPP @t761 @t255)) % 1.20/1.41 (define @t804 () (tptp.hAPP @t803 @t248)) % 1.20/1.41 (define @t805 () (tptp.hAPP @t761 @t318)) % 1.20/1.41 (define @t806 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t338 @t337)) % 1.20/1.41 (define @t807 () (= @t255 @t796)) % 1.20/1.41 (define @t808 () (@var "V_w" $$unsorted)) % 1.20/1.41 (define @t809 () (tptp.hAPP @t761 @t244)) % 1.20/1.41 (define @t810 () (tptp.hAPP @t809 @t808)) % 1.20/1.41 (define @t811 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t244)) % 1.20/1.41 (define @t812 () (@list @t808 @t244)) % 1.20/1.41 (define @t813 () (@var "V_r2" $$unsorted)) % 1.20/1.41 (define @t814 () (@var "V_r1" $$unsorted)) % 1.20/1.41 (define @t815 () (= @t814 @t813)) % 1.20/1.41 (define @t816 () (@var "V_q2" $$unsorted)) % 1.20/1.41 (define @t817 () (@var "V_q1" $$unsorted)) % 1.20/1.41 (define @t818 () (= @t817 @t816)) % 1.20/1.41 (define @t819 () (tptp.c_Polynomial_Opdivmod__rel @t7 @t71 @t170 @t816 @t813)) % 1.20/1.41 (define @t820 () (tptp.c_Polynomial_Opdivmod__rel @t7 @t71 @t170 @t817 @t814)) % 1.20/1.41 (define @t821 () (@list @t813 @t816 @t814 @t817 @t170 @t71 @t7)) % 1.20/1.41 (define @t822 () (tptp.hAPP @t761 @t808)) % 1.20/1.41 (define @t823 () (@var "V_z3" $$unsorted)) % 1.20/1.41 (define @t824 () (@var "V_z2" $$unsorted)) % 1.20/1.41 (define @t825 () (tptp.hAPP @t761 @t824)) % 1.20/1.41 (define @t826 () (@var "V_z1" $$unsorted)) % 1.20/1.41 (define @t827 () (tptp.hAPP @t761 @t826)) % 1.20/1.41 (define @t828 () (@list @t823 @t824 @t826)) % 1.20/1.41 (define @t829 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t826 @t824)) % 1.20/1.41 (define @t830 () (@list @t244)) % 1.20/1.41 (define @t831 () (tptp.c_Polynomial_Osmult @t7 @t12 @t71)) % 1.20/1.41 (define @t832 () (tptp.c_Polynomial_Opdivmod__rel @t7 @t71 @t170 @t79 @t119)) % 1.20/1.41 (define @t833 () (tptp.c_Polynomial_Opos__poly @t7 @t79)) % 1.20/1.41 (define @t834 () (tptp.c_Polynomial_Opos__poly @t7 @t88)) % 1.20/1.41 (define @t835 () (@var "V_one_2" $$unsorted)) % 1.20/1.41 (define @t836 () (@var "V_times_2" $$unsorted)) % 1.20/1.41 (define @t837 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t21 @t835 @t836) @t27)) % 1.20/1.41 (define @t838 () (@var "V_r_H" $$unsorted)) % 1.20/1.41 (define @t839 () (tptp.hAPP @t178 @t170)) % 1.20/1.41 (define @t840 () (@var "V_q_H" $$unsorted)) % 1.20/1.41 (define @t841 () (tptp.c_Polynomial_Osmult @t7 @t12 @t170)) % 1.20/1.41 (define @t842 () (@var "B_i" $$unsorted)) % 1.20/1.41 (define @t843 () (= (tptp.hAPP @t106 @t842) @t18)) % 1.20/1.41 (define @t844 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t842)) % 1.20/1.41 (define @t845 () (@list @t842)) % 1.20/1.41 (define @t846 () (@list @t88 @t60 @t7)) % 1.20/1.41 (define @t847 () (tptp.hBOOL @t586)) % 1.20/1.41 (define @t848 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t795 @t244)) % 1.20/1.41 (define @t849 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t808 @t244)) % 1.20/1.41 (define @t850 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t244 @t808)) % 1.20/1.41 (define @t851 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t808 @t244)) % 1.20/1.41 (define @t852 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t244 @t808)) % 1.20/1.41 (define @t853 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t338 @t337)) % 1.20/1.41 (define @t854 () (@list @t38)) % 1.20/1.41 (define @t855 () (@var "V_z_H" $$unsorted)) % 1.20/1.41 (define @t856 () (@var "V_w_H" $$unsorted)) % 1.20/1.41 (define @t857 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t231 @t38)) % 1.20/1.41 (define @t858 () (@list @t38 @t231)) % 1.20/1.41 (define @t859 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t231 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 @t795))) % 1.20/1.41 (define @t860 () (tptp.hAPP @t761 @t12)) % 1.20/1.41 (define @t861 () (= @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t119 (tptp.hAPP @t860 @t79)))) % 1.20/1.41 (define @t862 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t12)) % 1.20/1.41 (define @t863 () (@list @t79 @t119 @t12)) % 1.20/1.41 (define @t864 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t119)) % 1.20/1.41 (define @t865 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t310)) % 1.20/1.41 (define @t866 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t838 @t310)) % 1.20/1.41 (define @t867 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t761 @t310) @t840) @t838)) % 1.20/1.41 (define @t868 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t867)) % 1.20/1.41 (define @t869 () (@list @t838 @t840 @t310)) % 1.20/1.41 (define @t870 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t838)) % 1.20/1.41 (define @t871 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t867 @t796)) % 1.20/1.41 (define @t872 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t840 @t79)) % 1.20/1.41 (define @t873 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t119 @t121)) % 1.20/1.41 (define @t874 () (tptp.hAPP @t761 @t121)) % 1.20/1.41 (define @t875 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t874 @t79) @t119)) % 1.20/1.41 (define @t876 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t874 @t840) @t838) @t875)) % 1.20/1.41 (define @t877 () (@list @t119 @t79 @t838 @t840 @t121)) % 1.20/1.41 (define @t878 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t79 @t840)) % 1.20/1.41 (define @t879 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t310 @t121)) % 1.20/1.41 (define @t880 () (= @t875 @t867)) % 1.20/1.41 (define @t881 () (@list @t838 @t840 @t310 @t119 @t79 @t121)) % 1.20/1.41 (define @t882 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t121 @t119)) % 1.20/1.41 (define @t883 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t119 @t796)) % 1.20/1.41 (define @t884 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t71)) % 1.20/1.41 (define @t885 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t170)) % 1.20/1.41 (define @t886 () (tptp.c_Divides_Odiv__class_Omod @t8 @t71 @t170)) % 1.20/1.41 (define @t887 () (not @t501)) % 1.20/1.41 (define @t888 () (=> @t887 (= @t499 (tptp.c_Polynomial_Opoly__gcd @t7 @t170 @t886)))) % 1.20/1.41 (define @t889 () (@list @t170 @t71 @t12 @t7)) % 1.20/1.41 (define @t890 () (tptp.c_Polynomial_Odegree @t7 @t170)) % 1.20/1.41 (define @t891 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t318 @t82)) % 1.20/1.41 (define @t892 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t318 @t60)) % 1.20/1.41 (define @t893 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t318 (tptp.c_Divides_Odiv__class_Omod @t7 @t82 @t60))) % 1.20/1.41 (define @t894 () (tptp.class_Divides_Osemiring__div @t7)) % 1.20/1.41 (define @t895 () (@list @t60 @t82 @t318 @t7)) % 1.20/1.41 (define @t896 () (tptp.c_Divides_Odiv__class_Omod @t7 @t12 @t81)) % 1.20/1.41 (define @t897 () (tptp.c_Divides_Odiv__class_Omod @t7 @t12 @t121)) % 1.20/1.41 (define @t898 () (tptp.class_Divides_Osemiring__div @t21)) % 1.20/1.41 (define @t899 () (tptp.c_Divides_Odiv__class_Omod @t7 @t121 @t81)) % 1.20/1.41 (define @t900 () (tptp.c_Divides_Odiv__class_Omod @t7 @t203 @t81)) % 1.20/1.41 (define @t901 () (tptp.hAPP @t190 @t896)) % 1.20/1.41 (define @t902 () (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.hAPP @t901 @t121) @t81)) % 1.20/1.41 (define @t903 () (= @t899 (tptp.c_Divides_Odiv__class_Omod @t7 @t310 @t81))) % 1.20/1.41 (define @t904 () (= @t896 (tptp.c_Divides_Odiv__class_Omod @t7 @t305 @t81))) % 1.20/1.41 (define @t905 () (@list @t310 @t121 @t305 @t81 @t12 @t7)) % 1.20/1.41 (define @t906 () (tptp.c_Divides_Odiv__class_Omod @t7 @t357 @t121)) % 1.20/1.41 (define @t907 () (tptp.class_Divides_Oring__div @t7)) % 1.20/1.41 (define @t908 () (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t899) @t81)) % 1.20/1.41 (define @t909 () (tptp.c_Divides_Odiv__class_Omod @t7 @t128 @t81)) % 1.20/1.41 (define @t910 () (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t896 @t121) @t81)) % 1.20/1.41 (define @t911 () (@var "B_z" $$unsorted)) % 1.20/1.41 (define @t912 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t71 @t82)) % 1.20/1.41 (define @t913 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t82 @t60)) % 1.20/1.41 (define @t914 () (@var "V_f" $$unsorted)) % 1.20/1.41 (define @t915 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t82 @t60)) % 1.20/1.41 (define @t916 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t860 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t121 @t81)) @t81)) % 1.20/1.41 (define @t917 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t860 @t121) @t81)) % 1.20/1.41 (define @t918 () (tptp.c_Nat_OSuc @t915)) % 1.20/1.41 (define @t919 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t115 @t60)) % 1.20/1.41 (define @t920 () (=> @t538 (= @t915 @t82))) % 1.20/1.41 (define @t921 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t12 @t121)) % 1.20/1.41 (define @t922 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t121 @t921)) % 1.20/1.41 (define @t923 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t121 @t796)) % 1.20/1.41 (define @t924 () (@list @t12 @t121)) % 1.20/1.41 (define @t925 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t921 @t121)) % 1.20/1.41 (define @t926 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t121)) % 1.20/1.41 (define @t927 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t121)) % 1.20/1.41 (define @t928 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t12)) % 1.20/1.41 (define @t929 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t318 @t419)) % 1.20/1.41 (define @t930 () (not (= @t929 @t796))) % 1.20/1.41 (define @t931 () (@list @t419 @t318)) % 1.20/1.41 (define @t932 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t318 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t419))) % 1.20/1.41 (define @t933 () (= @t918 @t60)) % 1.20/1.41 (define @t934 () (@var "B_q" $$unsorted)) % 1.20/1.41 (define @t935 () (@list @t934)) % 1.20/1.41 (define @t936 () (@list @t241 @t248)) % 1.20/1.41 (define @t937 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t320 @t82)) % 1.20/1.41 (define @t938 () (@list @t82 @t60 @t318)) % 1.20/1.41 (define @t939 () (= @t921 @t12)) % 1.20/1.41 (define @t940 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t921 @t796)) % 1.20/1.41 (define @t941 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t921)) % 1.20/1.41 (define @t942 () (tptp.hAPP @t224 @t121)) % 1.20/1.41 (define @t943 () (@list @t79 @t121 @t119 @t81)) % 1.20/1.41 (define @t944 () (tptp.hBOOL (tptp.hAPP @t57 @t654))) % 1.20/1.41 (define @t945 () (@list @t842 @t654)) % 1.20/1.41 (define @t946 () (@list @t255 @t64 @t57)) % 1.20/1.41 (define @t947 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 @t121)) % 1.20/1.41 (define @t948 () (= @t64 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t803 @t842) @t654))) % 1.20/1.41 (define @t949 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t874 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t79 @t81)) @t119)) % 1.20/1.41 (define @t950 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t81)) % 1.20/1.41 (define @t951 () (tptp.hAPP @t874 @t81)) % 1.20/1.41 (define @t952 () (@list @t79 @t119 @t121 @t81)) % 1.20/1.41 (define @t953 () (@var "V_b_1" $$unsorted)) % 1.20/1.41 (define @t954 () (@var "V_a_1" $$unsorted)) % 1.20/1.41 (define @t955 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t953)) % 1.20/1.41 (define @t956 () (@var "V_q_1" $$unsorted)) % 1.20/1.41 (define @t957 () (tptp.c_SMT_Oz3mod @t318 @t419)) % 1.20/1.41 (define @t958 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t419)) % 1.20/1.41 (define @t959 () (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t121) @t81)) % 1.20/1.41 (define @t960 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t82 @t60)) % 1.20/1.41 (define @t961 () (= @t915 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t960 @t60))) % 1.20/1.41 (define @t962 () (=> @t604 @t961)) % 1.20/1.41 (define @t963 () (@var "V_e_2" $$unsorted)) % 1.20/1.41 (define @t964 () (tptp.c_Groups_Oplus__class_Oplus @t21 (tptp.hAPP (tptp.hAPP @t232 (tptp.c_Groups_Ominus__class_Ominus @t21 @t34 @t27)) @t963) @t241)) % 1.20/1.41 (define @t965 () (tptp.c_Groups_Oplus__class_Oplus @t21 (tptp.hAPP @t239 @t963) @t241)) % 1.20/1.41 (define @t966 () (tptp.c_Groups_Oplus__class_Oplus @t21 (tptp.hAPP @t242 @t963) @t131)) % 1.20/1.41 (define @t967 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t966 @t965)) % 1.20/1.41 (define @t968 () (tptp.class_Rings_Oordered__ring @t21)) % 1.20/1.41 (define @t969 () (@list @t241 @t34 @t131 @t963 @t27 @t21)) % 1.20/1.41 (define @t970 () (tptp.c_Groups_Ominus__class_Ominus @t21 @t27 @t34)) % 1.20/1.41 (define @t971 () (tptp.c_Groups_Oplus__class_Oplus @t21 (tptp.hAPP (tptp.hAPP @t232 @t970) @t963) @t131)) % 1.20/1.41 (define @t972 () (tptp.c_Orderings_Oord__class_Oless @t21 @t966 @t965)) % 1.20/1.41 (define @t973 () (@var "V_D_2" $$unsorted)) % 1.20/1.41 (define @t974 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t170 @t121)) % 1.20/1.41 (define @t975 () (tptp.hAPP @t190 (tptp.c_Groups_Ominus__class_Ominus @t7 @t71 @t12))) % 1.20/1.41 (define @t976 () (tptp.hAPP @t975 @t121)) % 1.20/1.41 (define @t977 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t245 @t203)) % 1.20/1.41 (define @t978 () (@list @t121 @t12 @t170 @t71 @t7)) % 1.20/1.41 (define @t979 () (= @t966 @t965)) % 1.20/1.41 (define @t980 () (tptp.class_Rings_Oring @t21)) % 1.20/1.41 (define @t981 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t318 @t82)) % 1.20/1.41 (define @t982 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t318 @t960)) % 1.20/1.41 (define @t983 () (= @t960 @t66)) % 1.20/1.41 (define @t984 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t60 @t960) @t82)) % 1.20/1.41 (define @t985 () (@var "V_j_2" $$unsorted)) % 1.20/1.41 (define @t986 () (@var "V_i_2" $$unsorted)) % 1.20/1.41 (define @t987 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t986 @t255)) % 1.20/1.41 (define @t988 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t985 @t255)) % 1.20/1.41 (define @t989 () (@list @t255 @t985 @t986)) % 1.20/1.41 (define @t990 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t64 @t255)) % 1.20/1.41 (define @t991 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t248 @t255)) % 1.20/1.41 (define @t992 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t255 @t64)) % 1.20/1.41 (define @t993 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t255 @t248)) % 1.20/1.41 (define @t994 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t337 @t318)) % 1.20/1.41 (define @t995 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t994 @t338)) % 1.20/1.41 (define @t996 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t613 @t318)) % 1.20/1.41 (define @t997 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 @t337)) % 1.20/1.41 (define @t998 () (@list @t338 @t337 @t318)) % 1.20/1.41 (define @t999 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t338 @t994)) % 1.20/1.41 (define @t1000 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t339 @t318)) % 1.20/1.41 (define @t1001 () (@list @t419 @t60 @t82)) % 1.20/1.41 (define @t1002 () (= @t970 @t26)) % 1.20/1.41 (define @t1003 () (@var "T" $$unsorted)) % 1.20/1.41 (define @t1004 () (tptp.class_Rings_Ocomm__semiring__0 @t1003)) % 1.20/1.41 (define @t1005 () (@list @t1003)) % 1.20/1.41 (define @t1006 () (@var "T_1" $$unsorted)) % 1.20/1.41 (define @t1007 () (tptp.tc_Polynomial_Opoly @t1006)) % 1.20/1.41 (define @t1008 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1006)) % 1.20/1.41 (define @t1009 () (@list @t1006)) % 1.20/1.41 (define @t1010 () (@var "T_2" $$unsorted)) % 1.20/1.41 (define @t1011 () (tptp.tc_fun @t1010 @t1006)) % 1.20/1.41 (define @t1012 () (tptp.class_Enum_Oenum @t1010)) % 1.20/1.41 (define @t1013 () (@list @t1006 @t1010)) % 1.20/1.41 (define @t1014 () (@list @t1010 @t1006)) % 1.20/1.41 (define @t1015 () (tptp.class_HOL_Oequal @t1006)) % 1.20/1.41 (define @t1016 () (tptp.class_Rings_Oidom @t1006)) % 1.20/1.41 (define @t1017 () (tptp.class_Rings_Olinordered__idom @t1006)) % 1.20/1.41 (define @t1018 () (tptp.class_Rings_Ocomm__semiring__0 @t1006)) % 1.20/1.41 (define @t1019 () (tptp.class_Rings_Ocomm__semiring__1 @t1006)) % 1.20/1.41 (define @t1020 () (tptp.class_Groups_Ocomm__monoid__add @t1006)) % 1.20/1.41 (define @t1021 () (tptp.class_Fields_Ofield @t1006)) % 1.20/1.41 (define @t1022 () (tptp.class_Groups_Oab__group__add @t1006)) % 1.20/1.41 (define @t1023 () (tptp.class_Rings_Ocomm__ring__1 @t1006)) % 1.20/1.41 (define @t1024 () (tptp.class_Rings_Ocomm__ring @t1006)) % 1.20/1.41 (define @t1025 () (tptp.class_Groups_Ozero @t1006)) % 1.20/1.41 (define @t1026 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP tptp.c_fequal @t46) @t73))) % 1.20/1.41 (define @t1027 () (tptp.tc_Polynomial_Opoly tptp.t_a)) % 1.20/1.41 (define @t1028 () (tptp.c_Groups_Ozero__class_Ozero @t1027)) % 1.20/1.41 (define @t1029 () (= tptp.v_p @t1028)) % 1.20/1.41 (define @t1030 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly tptp.t_a tptp.v_p tptp.v_h)) % 1.20/1.41 (define @t1031 () (=> (= @t1030 @t1028) @t1029)) % 1.20/1.41 (define @t1032 () (tptp.c_Polynomial_OpCons tptp.t_a tptp.v_a tptp.v_p)) % 1.20/1.41 (define @t1033 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly tptp.t_a @t1032 tptp.v_h)) % 1.20/1.41 (define @t1034 () (tptp.class_Rings_Ocomm__semiring__0 tptp.t_a)) % 1.20/1.41 (define @t1035 () (= @t13 @t14)) % 1.20/1.41 (define @t1036 () (tptp.c_Polynomial_OpCons tptp.t_a tptp.v_a @t1028)) % 1.20/1.41 (define @t1037 () (= @t1036 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly tptp.t_a @t1036 tptp.v_h))) % 1.20/1.41 (define @t1038 () (not @t1034)) % 1.20/1.41 (define @t1039 () (or @t1038 @t1037)) % 1.20/1.41 (define @t1040 () (@list false false)) % 1.20/1.41 (define @t1041 () (= @t9 @t88)) % 1.20/1.41 (define @t1042 () (= @t9 @t164)) % 1.20/1.41 (define @t1043 () (not @t1042)) % 1.20/1.41 (define @t1044 () (not @t11)) % 1.20/1.41 (define @t1045 () (=> @t1042 @t1041)) % 1.20/1.41 (define @t1046 () (tptp.c_Groups_Oplus__class_Oplus @t1027 (tptp.c_Polynomial_Osmult tptp.t_a tptp.v_h @t1030) (tptp.c_Polynomial_OpCons tptp.t_a tptp.v_a @t1030))) % 1.20/1.41 (define @t1047 () (= @t1033 @t1046)) % 1.20/1.41 (define @t1048 () (or @t1038 @t1047)) % 1.20/1.41 (define @t1049 () (= @t1028 @t1030)) % 1.20/1.41 (define @t1050 () (= @t1028 @t1046)) % 1.20/1.41 (define @t1051 () (not @t1050)) % 1.20/1.41 (define @t1052 () (or @t1038 @t1051 @t1049)) % 1.20/1.41 (define @t1053 () (@list false)) % 1.20/1.41 (define @t1054 () (@list @t1049)) % 1.20/1.41 (define @t1055 () (not @t1037)) % 1.20/1.41 (define @t1056 () (= @t1028 @t1032)) % 1.20/1.41 (define @t1057 () (= @t1028 @t1033)) % 1.20/1.41 (define @t1058 () (not @t1057)) % 1.20/1.41 (define @t1059 () (not @t1029)) % 1.20/1.41 (define @t1060 () (not @t1056)) % 1.20/1.41 (define @t1061 () (= tptp.v_p @t1032)) % 1.20/1.41 (define @t1062 () (tptp.c_Polynomial_OpCons tptp.t_a tptp.v_a @t1033)) % 1.20/1.41 (define @t1063 () (and @t1057 @t1029 @t1061 @t1060)) % 1.20/1.41 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.20/1.41 (assume @p2 (forall (@list @t10 @t7) (=> @t11 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t7 @t9 @t10) @t9)))) % 1.20/1.41 (assume @p3 @t17) % 1.20/1.41 (assume @p4 (forall @t20 (=> @t19 (= (tptp.c_Polynomial_OpCons @t7 @t18 @t9) @t9)))) % 1.20/1.41 (assume @p5 (forall @t31 (=> @t30 (= (= @t29 @t23) (and @t28 @t25))))) % 1.20/1.41 (assume @p6 (forall @t37 (=> @t30 (= (= @t29 @t36) (and @t35 @t33))))) % 1.20/1.41 (assume @p7 (forall (@list @t24 @t27 @t21 @t38 @t2 @t39) (=> @t45 (=> @t44 (= @t42 (tptp.hAPP @t41 @t40)))))) % 1.20/1.41 (assume @p8 (forall @t48 (=> @t30 (= (= @t26 @t46) @t47)))) % 1.20/1.41 (assume @p9 (forall (@list @t24 @t27 @t2 @t38 @t21 @t39) (=> @t45 (= @t42 (tptp.hAPP @t41 (tptp.c_If @t21 (tptp.hAPP (tptp.hAPP tptp.c_fequal @t24) @t43) @t38 @t40)))))) % 1.20/1.41 (assume @p10 (forall (@list @t21 @t38 @t2 @t39) (=> @t45 (=> @t44 (= (tptp.c_Polynomial_Opoly__rec @t21 @t39 @t38 @t2 @t43) @t38))))) % 1.20/1.41 (assume @p11 (forall (@list @t32 @t34 @t21) (=> @t53 (= (tptp.hBOOL (tptp.hAPP @t50 @t36)) (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t26) @t34)) (tptp.hBOOL (tptp.hAPP @t50 @t32))))))) % 1.20/1.41 (assume @p12 (forall @t31 (=> @t53 (= (tptp.hBOOL (tptp.hAPP @t56 @t23)) (and (tptp.hBOOL (tptp.hAPP @t55 @t26)) (tptp.hBOOL (tptp.hAPP @t54 @t23))))))) % 1.20/1.41 (assume @p13 (forall (@list @t24 @t57 @t21) (=> @t30 (=> (tptp.hBOOL (tptp.hAPP @t57 @t23)) (=> (forall (@list @t59 @t58) (=> (tptp.hBOOL (tptp.hAPP @t57 @t58)) (tptp.hBOOL (tptp.hAPP @t57 (tptp.c_Polynomial_OpCons @t21 @t59 @t58))))) (tptp.hBOOL (tptp.hAPP @t57 @t24))))))) % 1.20/1.41 (assume @p14 (forall @t61 (=> @t19 (= (tptp.c_Polynomial_Omonom @t7 @t18 @t60) @t9)))) % 1.20/1.41 (assume @p15 (forall @t63 (=> @t53 (= @t62 @t33)))) % 1.20/1.41 (assume @p16 (forall (@list @t34 @t64 @t27 @t21) (=> @t30 (= (= @t65 (tptp.c_Polynomial_Omonom @t21 @t34 @t64)) @t35)))) % 1.20/1.41 (assume @p17 (forall @t37 (=> @t53 (= (tptp.hBOOL (tptp.hAPP @t56 @t36)) (and (tptp.hBOOL (tptp.hAPP @t55 @t34)) @t62))))) % 1.20/1.41 (assume @p18 (forall @t67 (=> @t19 (= (tptp.c_Polynomial_Omonom @t7 @t12 @t66) @t13)))) % 1.20/1.41 (assume @p19 (forall @t20 (=> (and @t19 @t68) (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oequal__class_Oequal @t8) @t9) @t9))))) % 1.20/1.41 (assume @p20 (forall @t69 (=> @t30 (= (= @t65 @t23) @t28)))) % 1.20/1.41 (assume @p21 (forall @t70 (=> @t52 (= @t51 tptp.c_fequal)))) % 1.20/1.41 (assume @p22 (forall @t72 (=> @t68 (tptp.hBOOL (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oequal__class_Oequal @t7) @t71) @t71))))) % 1.20/1.41 (assume @p23 (forall @t75 (=> @t52 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t51 @t46) @t73)) @t74)))) % 1.20/1.41 (assume @p24 (forall @t70 (=> @t52 (= tptp.c_fequal @t51)))) % 1.20/1.41 (assume @p25 (forall @t78 (=> @t19 (= (tptp.c_Polynomial_Omonom @t7 @t12 @t77) (tptp.c_Polynomial_OpCons @t7 @t18 @t76))))) % 1.20/1.41 (assume @p26 (forall @t80 (=> @t11 (= (tptp.c_Polynomial_Opcompose @t7 @t9 @t79) @t9)))) % 1.20/1.41 (assume @p27 (forall @t72 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t9) @t71) @t18)))) % 1.20/1.41 (assume @p28 (forall (@list @t81 @t7) (=> @t11 (= (tptp.c_Polynomial_Osynthetic__div @t7 @t9 @t81) @t9)))) % 1.20/1.41 (assume @p29 (forall @t87 (=> @t19 (and (=> @t85 (= @t84 @t12)) (=> @t86 (= @t84 @t18)))))) % 1.20/1.41 (assume @p30 (forall @t92 (=> @t11 (=> (= @t91 @t90) @t89)))) % 1.20/1.41 (assume @p31 (forall @t31 (=> @t94 (= (= @t93 @t23) (or @t28 @t25))))) % 1.20/1.41 (assume @p32 (forall @t95 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t18 @t88) @t9)))) % 1.20/1.41 (assume @p33 (forall @t63 (=> @t30 (= @t33 (forall @t98 (= (tptp.hAPP @t97 @t96) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t21 @t32) @t96))))))) % 1.20/1.41 (assume @p34 (forall @t63 (=> @t100 (= (= @t99 (tptp.c_Polynomial_Opoly @t21 @t32)) @t33)))) % 1.20/1.41 (assume @p35 (forall @t75 (=> @t30 (= (= @t101 (tptp.c_Polynomial_Ocoeff @t21 @t73)) @t74)))) % 1.20/1.41 (assume @p36 (forall @t105 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t104) @t71) (tptp.hAPP @t103 @t102))))) % 1.20/1.41 (assume @p37 (forall @t109 (=> @t19 (= (tptp.hAPP @t108 @t77) @t107)))) % 1.20/1.41 (assume @p38 (forall (@list @t81 @t88 @t12 @t7) (=> @t11 (= (tptp.c_Polynomial_Osynthetic__div @t7 @t90 @t81) @t112)))) % 1.20/1.41 (assume @p39 (forall @t67 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t9) @t9)))) % 1.20/1.41 (assume @p40 (forall @t113 (=> @t19 (= (tptp.hAPP @t108 @t66) @t12)))) % 1.20/1.41 (assume @p41 (forall @t114 (=> @t100 (= (= @t99 (tptp.c_Polynomial_Opoly @t21 @t23)) @t25)))) % 1.20/1.41 (assume @p42 (forall @t61 (=> @t19 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t9) @t60) @t18)))) % 1.20/1.41 (assume @p43 (forall (@list @t27 @t24 @t21) (=> @t94 (= (= (tptp.hAPP @t99 @t27) @t26) (or @t25 (not (= (tptp.c_Polynomial_Oorder @t21 @t27 @t24) @t66))))))) % 1.20/1.41 (assume @p44 (forall @t116 (not (= @t66 @t115)))) % 1.20/1.41 (assume @p45 (forall (@list @t117) (not (= @t66 (tptp.c_Nat_OSuc @t117))))) % 1.20/1.41 (assume @p46 (forall @t116 (not (= @t115 @t66)))) % 1.20/1.41 (assume @p47 (forall (@list @t118) (not (= (tptp.c_Nat_OSuc @t118) @t66)))) % 1.20/1.41 (assume @p48 (forall (@list @t81 @t88 @t7) (=> @t11 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t88 (tptp.c_Polynomial_Osmult @t7 @t81 @t110)) @t112)))) % 1.20/1.41 (assume @p49 (forall (@list @t119 @t79 @t81 @t88 @t7) (=> @t11 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t88 (tptp.c_Polynomial_Osmult @t7 @t81 @t79)) (tptp.c_Polynomial_OpCons @t7 @t119 @t79)) (and (= @t119 @t111) (= @t79 @t110)))))) % 1.20/1.41 (assume @p50 (forall @t31 (=> @t30 (= (tptp.c_Polynomial_Ocoeff @t21 @t29) @t120)))) % 1.20/1.41 (assume @p51 (forall @t126 (=> @t125 (=> (= @t124 @t123) @t122)))) % 1.20/1.41 (assume @p52 (forall @t130 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t7) @t129))) % 1.20/1.41 (assume @p53 (forall @t130 (=> @t125 @t129))) % 1.20/1.41 (assume @p54 (forall (@list @t131 @t27 @t34 @t21) (=> @t135 (= (= @t134 @t133) @t132)))) % 1.20/1.41 (assume @p55 (forall (@list @t131 @t34 @t27 @t21) (=> @t135 (= (= @t137 @t136) @t132)))) % 1.20/1.41 (assume @p56 (forall @t130 (=> (tptp.class_Groups_Oab__semigroup__add @t7) @t140))) % 1.20/1.41 (assume @p57 (forall (@list @t79 @t121 @t88 @t12 @t7) (=> @t142 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t90 (tptp.c_Polynomial_OpCons @t7 @t121 @t79)) (tptp.c_Polynomial_OpCons @t7 @t128 @t141))))) % 1.20/1.41 (assume @p58 (forall @t145 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t128 @t88) (tptp.c_Groups_Oplus__class_Oplus @t8 @t144 @t143))))) % 1.20/1.41 (assume @p59 (forall (@list @t60 @t79 @t88 @t7) (=> @t142 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t141) @t60) (tptp.c_Groups_Oplus__class_Oplus @t7 @t107 (tptp.hAPP @t146 @t60)))))) % 1.20/1.41 (assume @p60 (forall @t105 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t141) @t71) (tptp.c_Groups_Oplus__class_Oplus @t7 @t147 @t102))))) % 1.20/1.41 (assume @p61 (forall @t149 (=> @t142 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t76 @t148) (tptp.c_Polynomial_Omonom @t7 @t128 @t60))))) % 1.20/1.41 (assume @p62 (forall (@list @t151 @t150 @t21) (= (tptp.hAPP @t152 @t66) @t150))) % 1.20/1.41 (assume @p63 (forall (@list @t153 @t151 @t150 @t21) (= (tptp.hAPP @t152 @t154) (tptp.hAPP @t151 @t153)))) % 1.20/1.41 (assume @p64 (forall @t67 (=> @t142 @t155))) % 1.20/1.41 (assume @p65 (forall @t67 (=> @t156 @t155))) % 1.20/1.41 (assume @p66 (forall @t159 (=> @t158 (= (= @t26 @t157) @t28)))) % 1.20/1.41 (assume @p67 (forall @t67 (=> @t142 @t160))) % 1.20/1.41 (assume @p68 (forall @t67 (=> @t156 @t160))) % 1.20/1.41 (assume @p69 (forall @t95 (=> @t142 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t88 @t9) @t88)))) % 1.20/1.41 (assume @p70 (forall @t80 (=> @t142 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t9 @t79) @t79)))) % 1.20/1.41 (assume @p71 (forall @t162 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t141) (tptp.c_Groups_Oplus__class_Oplus @t8 @t144 @t161))))) % 1.20/1.41 (assume @p72 (forall (@list @t71 @t10 @t88 @t7) (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t163) @t71) (tptp.hAPP @t103 (tptp.c_Groups_Oplus__class_Oplus @t7 @t10 @t71)))))) % 1.20/1.41 (assume @p73 @t167) % 1.20/1.41 (assume @p74 (forall @t168 (not (= @t60 @t77)))) % 1.20/1.41 (assume @p75 (forall @t168 (not (= @t77 @t60)))) % 1.20/1.41 (assume @p76 (forall (@list @t169 @t153) (= (= @t154 (tptp.c_Nat_OSuc @t169)) (= @t153 @t169)))) % 1.20/1.41 (assume @p77 (forall @t172 (=> (= (tptp.c_Nat_OSuc @t71) (tptp.c_Nat_OSuc @t170)) @t171))) % 1.20/1.41 (assume @p78 @t174) % 1.20/1.41 (assume @p79 (forall @t159 (=> @t158 (= (= @t157 @t26) @t28)))) % 1.20/1.41 (assume @p80 (forall @t176 (=> @t175 (= (= @t34 @t134) @t28)))) % 1.20/1.41 (assume @p81 (forall @t67 (=> @t177 @t155))) % 1.20/1.41 (assume @p82 (forall @t67 (=> @t177 @t160))) % 1.20/1.41 (assume @p83 (forall @t31 (=> @t30 (= @t29 (tptp.c_Polynomial_OAbs__poly @t21 @t120))))) % 1.20/1.41 (assume @p84 (forall @t162 (=> @t11 (= (tptp.c_Polynomial_Opcompose @t7 @t90 @t79) (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 (tptp.hAPP @t179 @t104)))))) % 1.20/1.41 (assume @p85 (forall @t162 (=> @t11 (= (tptp.hAPP (tptp.hAPP @t178 @t90) @t79) (tptp.c_Groups_Oplus__class_Oplus @t8 @t161 @t182))))) % 1.20/1.41 (assume @p86 (forall @t183 (=> @t11 (= (tptp.hAPP @t180 (tptp.c_Polynomial_OpCons @t7 @t12 @t79)) (tptp.c_Groups_Oplus__class_Oplus @t8 @t144 @t182))))) % 1.20/1.41 (assume @p87 (forall @t189 (=> @t19 (and (=> @t89 (= @t186 @t66)) @t188)))) % 1.20/1.41 (assume @p88 (forall @t192 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t90) @t71) (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 (tptp.hAPP @t191 @t147)))))) % 1.20/1.41 (assume @p89 (forall (@list @t81 @t12 @t7) (=> @t177 (= @t127 @t123)))) % 1.20/1.41 (assume @p90 (forall @t197 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t181) @t196) (tptp.hAPP (tptp.hAPP @t190 @t195) @t194))))) % 1.20/1.41 (assume @p91 (forall @t197 (=> @t200 (=> @t187 (=> @t199 (= @t198 @t196)))))) % 1.20/1.41 (assume @p92 (forall (@list @t60 @t121 @t82 @t12 @t7) (=> @t11 (= (tptp.hAPP (tptp.hAPP @t178 @t83) @t148) (tptp.c_Polynomial_Omonom @t7 @t203 @t201))))) % 1.20/1.41 (assume @p93 (forall @t130 (=> (tptp.class_Groups_Oab__semigroup__mult @t7) (= (tptp.hAPP (tptp.hAPP @t190 @t203) @t81) (tptp.hAPP @t202 @t205))))) % 1.20/1.41 (assume @p94 (forall @t217 (=> @t177 (= @t216 (tptp.hAPP @t212 (tptp.hAPP @t208 @t206)))))) % 1.20/1.41 (assume @p95 (forall @t217 (=> @t177 (= @t216 (tptp.hAPP @t213 (tptp.hAPP @t215 @t206)))))) % 1.20/1.41 (assume @p96 (forall @t217 (=> @t177 (= @t216 (tptp.hAPP @t211 (tptp.hAPP @t208 @t214)))))) % 1.20/1.41 (assume @p97 (forall @t219 (=> @t177 (= @t218 (tptp.hAPP @t212 @t207))))) % 1.20/1.41 (assume @p98 (forall @t219 (=> @t177 (= @t218 (tptp.hAPP @t211 (tptp.hAPP @t208 @t209)))))) % 1.20/1.41 (assume @p99 (forall @t221 (=> @t177 (= @t220 (tptp.hAPP @t212 @t206))))) % 1.20/1.41 (assume @p100 (forall @t221 (=> @t177 (= @t220 (tptp.hAPP @t213 (tptp.hAPP @t211 @t206)))))) % 1.20/1.41 (assume @p101 (forall @t223 (=> @t177 (= @t203 @t222)))) % 1.20/1.41 (assume @p102 (forall @t227 (= (tptp.hAPP @t225 @t77) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t82 @t226)))) % 1.20/1.41 (assume @p103 (forall @t227 (= (tptp.hAPP (tptp.hAPP @t224 @t115) @t60) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t60 @t226)))) % 1.20/1.41 (assume @p104 (forall @t67 (=> @t177 @t229))) % 1.20/1.41 (assume @p105 (forall @t67 (=> @t177 @t230))) % 1.20/1.41 (assume @p106 (forall (@list @t38 @t46 @t73 @t231 @t21) (=> @t175 (= (= (tptp.c_Groups_Oplus__class_Oplus @t21 (tptp.hAPP @t234 @t73) (tptp.hAPP @t233 @t38)) (tptp.c_Groups_Oplus__class_Oplus @t21 (tptp.hAPP @t234 @t38) (tptp.hAPP @t233 @t73))) (or (= @t231 @t46) (= @t73 @t38)))))) % 1.20/1.41 (assume @p107 (forall (@list @t121 @t82 @t12 @t7) (=> @t177 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t236 (tptp.hAPP @t204 @t82)) (tptp.hAPP @t235 @t82))))) % 1.20/1.41 (assume @p108 (forall @t130 (=> @t177 @t238))) % 1.20/1.41 (assume @p109 (forall (@list @t241 @t131 @t34 @t27 @t21) (=> @t175 (= (and (not @t35) (not (= @t131 @t241))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t21 @t243 (tptp.hAPP @t239 @t241)) (tptp.c_Groups_Oplus__class_Oplus @t21 (tptp.hAPP @t242 @t241) @t240))))))) % 1.20/1.41 (assume @p110 (forall @t246 (=> @t177 (= (tptp.hAPP @t191 (tptp.c_Groups_Oplus__class_Oplus @t7 @t170 @t244)) (tptp.c_Groups_Oplus__class_Oplus @t7 @t245 (tptp.hAPP @t191 @t244)))))) % 1.20/1.41 (assume @p111 (forall @t105 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t181) @t71) (tptp.hAPP (tptp.hAPP @t190 @t147) @t102))))) % 1.20/1.41 (assume @p112 (forall @t168 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t66 @t60) @t60))) % 1.20/1.41 (assume @p113 (forall @t116 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t82 @t66) @t82))) % 1.20/1.41 (assume @p114 (forall @t251 (= (= @t250 @t66) (and @t249 @t247)))) % 1.20/1.41 (assume @p115 (forall @t227 (=> (= @t201 @t82) @t252))) % 1.20/1.41 (assume @p116 (forall @t168 (= (tptp.hAPP (tptp.hAPP @t224 @t66) @t60) @t66))) % 1.20/1.41 (assume @p117 (forall @t116 (= (tptp.hAPP @t225 @t66) @t66))) % 1.20/1.41 (assume @p118 (forall @t251 (= (= @t254 @t66) (or @t249 @t247)))) % 1.20/1.41 (assume @p119 (forall @t263 (= @t262 @t258))) % 1.20/1.41 (assume @p120 (forall @t267 (= (= @t266 @t265) @t258))) % 1.20/1.41 (assume @p121 (forall @t227 (= @t269 @t268))) % 1.20/1.41 (assume @p122 (forall @t227 (= @t269 @t270))) % 1.20/1.41 (assume @p123 (forall @t227 (= @t268 @t270))) % 1.20/1.41 (assume @p124 (forall @t263 (= (= @t273 @t272) @t257))) % 1.20/1.41 (assume @p125 (forall @t80 (=> @t11 (= (tptp.hAPP (tptp.hAPP @t178 @t9) @t79) @t9)))) % 1.20/1.41 (assume @p126 (forall @t95 (=> @t11 (= (tptp.hAPP @t180 @t9) @t9)))) % 1.20/1.41 (assume @p127 (forall @t145 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t143) (tptp.c_Polynomial_Osmult @t7 @t203 @t88))))) % 1.20/1.41 (assume @p128 (forall @t183 (=> @t11 (= (tptp.hAPP @t180 @t161) @t274)))) % 1.20/1.41 (assume @p129 (forall @t162 (=> @t11 (= (tptp.hAPP (tptp.hAPP @t178 @t144) @t79) @t274)))) % 1.20/1.41 (assume @p130 (forall (@list @t275 @t81 @t121 @t12 @t119 @t7) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t7) (=> (not (= @t119 @t18)) (=> (and @t277 (not (= @t81 @t275))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 (tptp.hAPP @t276 @t81)) (tptp.c_Groups_Oplus__class_Oplus @t7 @t121 (tptp.hAPP @t276 @t275))))))))) % 1.20/1.41 (assume @p131 (forall (@list @t119 @t79 @t88 @t7) (=> @t11 (= (tptp.hAPP (tptp.hAPP @t178 @t141) @t119) (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t180 @t119) (tptp.hAPP @t179 @t119)))))) % 1.20/1.41 (assume @p132 (forall @t48 (=> @t30 (= (tptp.c_Polynomial_OAbs__poly @t21 @t101) @t46)))) % 1.20/1.41 (assume @p133 (forall @t20 (=> @t19 (= (tptp.c_Polynomial_Odegree @t7 @t9) @t66)))) % 1.20/1.41 (assume @p134 (forall @t75 (=> @t282 (= (= @t281 @t26) @t279)))) % 1.20/1.41 (assume @p135 (forall @t78 (=> @t19 (=> @t285 (= @t283 @t60))))) % 1.20/1.41 (assume @p136 (forall @t251 (= (= @t286 @t250) @t289))) % 1.20/1.41 (assume @p137 (forall @t251 (= (= @t250 @t286) @t289))) % 1.20/1.41 (assume @p138 (forall @t251 (= (= @t254 @t286) (and @t288 @t287)))) % 1.20/1.41 (assume @p139 (forall @t145 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 (tptp.c_Polynomial_OpCons @t7 @t121 @t88)) (tptp.c_Polynomial_OpCons @t7 @t203 @t144))))) % 1.20/1.41 (assume @p140 (forall @t109 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t144) @t60) (tptp.hAPP @t202 @t107))))) % 1.20/1.41 (assume @p141 (forall @t192 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t144) @t71) (tptp.hAPP @t202 @t147))))) % 1.20/1.41 (assume @p142 (forall @t290 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t148) (tptp.c_Polynomial_Omonom @t7 @t203 @t60))))) % 1.20/1.41 (assume @p143 (forall @t113 (=> @t200 (and (=> @t284 (= @t291 @t66)) (=> @t285 (= @t291 @t184)))))) % 1.20/1.41 (assume @p144 (forall @t114 (=> @t30 (= (= @t293 @t26) @t25)))) % 1.20/1.41 (assume @p145 (forall @t95 (=> @t19 (=> @t187 (not (= @t195 @t18)))))) % 1.20/1.41 (assume @p146 (forall @t67 (=> @t19 (= (tptp.c_Polynomial_Odegree @t7 @t13) @t66)))) % 1.20/1.41 (assume @p147 (forall @t189 (=> @t19 @t188))) % 1.20/1.41 (assume @p148 (forall @t294 (=> (tptp.class_Rings_Ocomm__semiring__0 @t21) (= (= (tptp.c_Polynomial_Osynthetic__div @t21 @t24 @t131) @t23) (= @t292 @t66))))) % 1.20/1.41 (assume @p149 (forall @t297 (=> @t177 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t128 @t296) (tptp.c_Groups_Oplus__class_Oplus @t7 @t127 @t295))))) % 1.20/1.41 (assume @p150 (forall @t130 (=> @t177 (= @t139 (tptp.c_Groups_Oplus__class_Oplus @t7 @t127 @t121))))) % 1.20/1.41 (assume @p151 (forall @t130 (=> @t177 @t140))) % 1.20/1.41 (assume @p152 (forall @t299 (=> @t177 (= @t298 (tptp.c_Groups_Oplus__class_Oplus @t7 @t127 @t275))))) % 1.20/1.41 (assume @p153 (forall @t299 (=> @t177 (= @t298 (tptp.c_Groups_Oplus__class_Oplus @t7 @t81 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t275)))))) % 1.20/1.41 (assume @p154 (forall (@list @t81 @t121 @t300 @t12 @t7) (=> (tptp.class_Rings_Osemiring @t7) (= (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t202 @t300) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t204 @t300) @t81)) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t235 @t300) @t81))))) % 1.20/1.41 (assume @p155 (forall (@list @t301 @t170 @t71 @t7) (=> @t304 (= (tptp.hAPP (tptp.hAPP @t190 @t303) @t301) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t191 @t301) (tptp.hAPP @t302 @t301)))))) % 1.20/1.41 (assume @p156 (forall (@list @t121 @t305 @t12 @t7) (=> @t304 (= (tptp.hAPP (tptp.hAPP @t190 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t305)) @t121) (tptp.c_Groups_Oplus__class_Oplus @t7 @t203 (tptp.hAPP @t306 @t121)))))) % 1.20/1.41 (assume @p157 (forall @t130 (=> (tptp.class_Rings_Ocomm__semiring @t7) @t238))) % 1.20/1.41 (assume @p158 (forall (@list @t170 @t71 @t307 @t7) (=> @t304 (= (tptp.hAPP @t308 @t303) (tptp.c_Groups_Oplus__class_Oplus @t7 @t309 (tptp.hAPP @t308 @t170)))))) % 1.20/1.41 (assume @p159 (forall (@list @t310 @t121 @t12 @t7) (=> @t304 (= (tptp.hAPP @t202 (tptp.c_Groups_Oplus__class_Oplus @t7 @t121 @t310)) (tptp.c_Groups_Oplus__class_Oplus @t7 @t203 (tptp.hAPP @t202 @t310)))))) % 1.20/1.41 (assume @p160 (forall @t67 (=> @t311 @t229))) % 1.20/1.41 (assume @p161 (forall (@list @t121 @t7) (=> @t304 (= (tptp.hAPP @t228 @t121) @t18)))) % 1.20/1.41 (assume @p162 (forall @t312 (=> @t304 (= (tptp.hAPP @t228 @t170) @t18)))) % 1.20/1.41 (assume @p163 (forall @t67 (=> @t311 @t230))) % 1.20/1.41 (assume @p164 (forall @t227 (= @t201 @t313))) % 1.20/1.41 (assume @p165 (forall @t227 (= @t226 @t315))) % 1.20/1.41 (assume @p166 (forall @t317 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t71 @t316) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t71 @t244))))) % 1.20/1.41 (assume @p167 (forall @t322 (= (tptp.hAPP @t319 @t201) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t321 @t320)))) % 1.20/1.41 (assume @p168 (forall @t324 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t201 @t318) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t82 @t323)))) % 1.20/1.41 (assume @p169 (forall @t324 (= (tptp.hAPP (tptp.hAPP @t224 @t226) @t318) (tptp.hAPP @t225 @t325)))) % 1.20/1.41 (assume @p170 (forall @t324 (= (tptp.hAPP (tptp.hAPP @t224 @t201) @t318) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t326 @t325)))) % 1.20/1.41 (assume @p171 (forall @t263 (= (= @t328 @t327) @t257))) % 1.20/1.41 (assume @p172 (forall @t267 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t248 @t255) @t329) @t257))) % 1.20/1.41 (assume @p173 (forall @t223 (=> @t332 (=> @t331 (or @t284 @t330))))) % 1.20/1.41 (assume @p174 (forall @t223 (=> @t332 (=> @t285 (=> @t333 (not @t331)))))) % 1.20/1.41 (assume @p175 (forall @t335 (=> (tptp.class_Rings_Oring__no__zero__divisors @t21) (= (= @t334 @t26) (or @t28 (= @t34 @t26)))))) % 1.20/1.41 (assume @p176 (forall @t72 (=> @t304 (= (tptp.hAPP @t191 @t18) @t18)))) % 1.20/1.41 (assume @p177 (forall @t67 (=> @t304 @t230))) % 1.20/1.41 (assume @p178 (forall (@list @t318 @t337 @t336 @t338) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t341 @t336) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t340 @t336) @t318)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t224 @t339) @t336) @t318)))) % 1.20/1.41 (assume @p179 (forall @t263 (= @t262 (or @t256 @t257)))) % 1.20/1.41 (assume @p180 (forall @t344 (= (tptp.c_Nat_Onat_Onat__size @t343) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Onat_Onat__size @t342) @t286)))) % 1.20/1.41 (assume @p181 (forall @t344 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t343) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t342) @t286)))) % 1.20/1.41 (assume @p182 (forall @t197 (=> @t11 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 @t104) (tptp.hAPP @t345 @t193))))) % 1.20/1.41 (assume @p183 (forall @t189 (=> @t200 (=> @t187 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t346 @t184))))) % 1.20/1.41 (assume @p184 (forall @t197 (=> @t11 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t198 @t196)))) % 1.20/1.41 (assume @p185 (forall (@list @t88 @t81 @t7) (=> @t349 (= (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP (tptp.hAPP @t178 (tptp.c_Polynomial_OpCons @t7 (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t81) @t348)) @t110) (tptp.c_Polynomial_OpCons @t7 @t111 @t9)) @t88)))) % 1.20/1.41 (assume @p186 (forall @t168 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t66 @t60))) % 1.20/1.41 (assume @p187 (forall @t48 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t21) (= (= @t280 @t350) (or @t351 (= @t46 (tptp.c_Groups_Ouminus__class_Ouminus @t21 @t350))))))) % 1.20/1.41 (assume @p188 (forall @t72 (=> @t349 (= @t353 (tptp.hAPP (tptp.hAPP @t190 @t352) @t71))))) % 1.20/1.41 (assume @p189 (forall @t20 (=> @t354 (not (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t347 @t18))))) % 1.20/1.41 (assume @p190 (forall @t20 (=> @t354 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t347)))) % 1.20/1.41 (assume @p191 (forall (@list @t71 @t88 @t7) (=> @t356 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t355) @t71) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t147))))) % 1.20/1.41 (assume @p192 (forall @t78 (=> @t358 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t76) (tptp.c_Polynomial_Omonom @t7 @t357 @t60))))) % 1.20/1.41 (assume @p193 (forall @t72 (=> @t177 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t359) @t71) @t347)))) % 1.20/1.41 (assume @p194 (forall @t168 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t60 @t60))) % 1.20/1.41 (assume @p195 (forall @t227 (or @t361 @t360))) % 1.20/1.41 (assume @p196 (forall @t227 (=> @t85 @t361))) % 1.20/1.41 (assume @p197 (forall @t363 (=> @t362 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t337 @t318) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t338 @t318))))) % 1.20/1.41 (assume @p198 (forall @t227 (=> @t361 (=> @t360 @t85)))) % 1.20/1.41 (assume @p199 (forall @t159 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t26 @t365) @t364)))) % 1.20/1.41 (assume @p200 (forall @t159 (=> @t158 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t27 @t365) @t364)))) % 1.20/1.41 (assume @p201 (forall @t159 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t365 @t26) @t367)))) % 1.20/1.41 (assume @p202 (forall @t159 (=> @t158 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t365 @t27) @t367)))) % 1.20/1.41 (assume @p203 (forall @t67 (=> @t368 (= (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t357) @t12)))) % 1.20/1.41 (assume @p204 (forall @t48 (=> (tptp.class_Groups_Oone @t21) (= (= @t350 @t46) @t351)))) % 1.20/1.41 (assume @p205 (forall @t335 (=> @t371 (= @t370 (= @t34 @t365))))) % 1.20/1.41 (assume @p206 (forall @t335 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t27 @t369) (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t34 @t365))))) % 1.20/1.41 (assume @p207 (forall @t335 (=> @t371 (= (= @t365 @t34) (= @t369 @t27))))) % 1.20/1.41 (assume @p208 (forall @t335 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t365 @t34) (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t369 @t27))))) % 1.20/1.41 (assume @p209 (forall @t335 (=> @t371 (= (= @t365 @t369) @t35)))) % 1.20/1.41 (assume @p210 (forall @t176 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t369 @t365) @t372)))) % 1.20/1.41 (assume @p211 (forall @t223 (=> (tptp.class_Groups_Oordered__ab__group__add @t7) (=> @t374 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t373 @t357))))) % 1.20/1.41 (assume @p212 (forall @t168 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t60) @t60))) % 1.20/1.41 (assume @p213 (forall @t113 (=> @t356 (= (tptp.c_Polynomial_Osmult @t7 @t357 @t88) @t375)))) % 1.20/1.41 (assume @p214 (forall @t376 (=> @t358 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t355) @t60) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t107))))) % 1.20/1.41 (assume @p215 (forall @t113 (=> @t358 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t90) (tptp.c_Polynomial_OpCons @t7 @t357 @t355))))) % 1.20/1.41 (assume @p216 (forall (@list @t88 @t12 @t21) (=> @t377 (= (tptp.c_Groups_Ouminus__class_Ouminus @t22 (tptp.c_Polynomial_OpCons @t21 @t12 @t88)) (tptp.c_Polynomial_OpCons @t21 (tptp.c_Groups_Ouminus__class_Ouminus @t21 @t12) (tptp.c_Groups_Ouminus__class_Ouminus @t22 @t88)))))) % 1.20/1.41 (assume @p217 (forall @t382 (=> @t381 (=> @t380 (=> @t379 (=> @t378 (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.hAPP @t302 @t71) @t71))))))) % 1.20/1.41 (assume @p218 (forall @t382 (=> @t381 (=> @t380 (=> @t379 (=> @t378 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t245 @t71))))))) % 1.20/1.41 (assume @p219 (forall @t20 (=> @t368 (= (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t18) @t18)))) % 1.20/1.41 (assume @p220 (forall @t159 (=> @t371 (= (= @t26 @t365) (= @t26 @t27))))) % 1.20/1.41 (assume @p221 (forall @t159 (=> @t158 (= (= @t27 @t365) @t28)))) % 1.20/1.41 (assume @p222 (forall @t159 (=> @t371 (= (= @t365 @t26) @t28)))) % 1.20/1.41 (assume @p223 (forall @t159 (=> @t158 (= (= @t365 @t27) @t28)))) % 1.20/1.41 (assume @p224 (forall @t20 (=> @t177 (= @t359 @t348)))) % 1.20/1.41 (assume @p225 (forall @t335 (=> @t94 (= (= (tptp.hAPP @t242 @t27) (tptp.hAPP @t239 @t34)) (or @t35 @t370))))) % 1.20/1.41 (assume @p226 (forall @t223 (=> @t384 (= (tptp.hAPP @t383 @t373) @t203)))) % 1.20/1.41 (assume @p227 (forall @t223 (=> @t384 (= @t386 @t385)))) % 1.20/1.41 (assume @p228 (forall @t382 (=> @t304 (= (tptp.hAPP (tptp.hAPP @t190 @t353) @t170) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t245))))) % 1.20/1.41 (assume @p229 (forall @t223 (=> @t304 (= @t386 @t387)))) % 1.20/1.41 (assume @p230 (forall (@list @t71 @t307 @t7) (=> @t304 (= (tptp.hAPP @t308 @t353) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t309))))) % 1.20/1.41 (assume @p231 (forall @t223 (=> @t304 (= @t385 @t387)))) % 1.20/1.41 (assume @p232 (forall @t223 (=> @t384 (= @t387 @t386)))) % 1.20/1.41 (assume @p233 (forall @t223 (=> @t384 (= @t387 @t385)))) % 1.20/1.41 (assume @p234 (forall @t223 (=> @t358 (= @t388 (tptp.c_Groups_Oplus__class_Oplus @t7 @t357 @t373))))) % 1.20/1.41 (assume @p235 (forall @t223 (=> @t368 (= @t388 (tptp.c_Groups_Oplus__class_Oplus @t7 @t373 @t357))))) % 1.20/1.41 (assume @p236 (forall @t223 (=> @t368 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 (tptp.c_Groups_Oplus__class_Oplus @t7 @t357 @t121)) @t121)))) % 1.20/1.41 (assume @p237 (forall @t223 (=> @t368 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t357 @t128) @t121)))) % 1.20/1.41 (assume @p238 (forall @t20 (=> @t389 (not (= @t347 @t18))))) % 1.20/1.41 (assume @p239 (forall @t20 (=> @t389 (not (= @t18 @t347))))) % 1.20/1.41 (assume @p240 (forall @t67 (=> @t391 @t390))) % 1.20/1.41 (assume @p241 (forall @t67 (=> @t392 @t390))) % 1.20/1.41 (assume @p242 (forall @t67 (=> @t391 @t393))) % 1.20/1.41 (assume @p243 (forall @t67 (=> @t392 @t393))) % 1.20/1.41 (assume @p244 (forall @t67 (=> @t177 @t393))) % 1.20/1.41 (assume @p245 (forall @t67 (=> @t177 @t390))) % 1.20/1.41 (assume @p246 (forall @t396 (=> @t395 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t136 @t394) @t372)))) % 1.20/1.41 (assume @p247 (forall @t398 (=> @t395 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t133 @t397) @t372)))) % 1.20/1.41 (assume @p248 (forall @t130 (=> @t400 (=> @t374 @t399)))) % 1.20/1.41 (assume @p249 (forall @t130 (=> @t400 (=> @t374 @t402)))) % 1.20/1.41 (assume @p250 (forall @t297 (=> @t400 (=> @t374 (=> @t403 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t127 @t295)))))) % 1.20/1.41 (assume @p251 (forall @t405 (=> @t404 (=> @t399 @t374)))) % 1.20/1.41 (assume @p252 (forall @t406 (=> @t404 (=> @t402 @t374)))) % 1.20/1.41 (assume @p253 (forall @t407 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t64 @t66) @t247))) % 1.20/1.41 (assume @p254 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t66) @t66)) % 1.20/1.41 (assume @p255 (forall @t227 (=> @t408 @t361))) % 1.20/1.41 (assume @p256 (forall @t227 (=> @t409 (=> (not @t361) (= @t82 @t77))))) % 1.20/1.41 (assume @p257 (forall @t227 (=> @t361 @t409))) % 1.20/1.41 (assume @p258 (forall @t412 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t411 @t410) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t64 @t248)))) % 1.20/1.41 (assume @p259 (forall @t251 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t248 @t411) (or @t413 (= @t248 @t411))))) % 1.20/1.41 (assume @p260 (forall @t251 (= (not @t413) @t414))) % 1.20/1.41 (assume @p261 (forall @t168 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t77 @t60)))) % 1.20/1.41 (assume @p262 (forall @t20 (=> @t358 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t9) @t9)))) % 1.20/1.41 (assume @p263 (forall @t418 (=> @t417 (not (=> @t361 (not @t415)))))) % 1.20/1.41 (assume @p264 (forall @t418 (=> @t417 @t361))) % 1.20/1.41 (assume @p265 (forall @t418 (=> @t417 @t415))) % 1.20/1.41 (assume @p266 (forall @t423 (=> @t362 (=> @t422 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t421 @t420))))) % 1.20/1.41 (assume @p267 (forall @t363 (=> @t362 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t421 @t424)))) % 1.20/1.41 (assume @p268 (forall @t426 (=> @t362 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t338 @t425)))) % 1.20/1.41 (assume @p269 (forall @t426 (=> @t362 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t338 @t427)))) % 1.20/1.41 (assume @p270 (forall @t263 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t328 @t327) @t413))) % 1.20/1.41 (assume @p271 (forall @t251 (= @t413 (exists @t430 (= @t64 @t429))))) % 1.20/1.41 (assume @p272 (forall @t431 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t60 @t313))) % 1.20/1.41 (assume @p273 (forall @t431 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t60 @t201))) % 1.20/1.41 (assume @p274 (forall @t95 (=> @t358 (= (tptp.c_Polynomial_Odegree @t7 @t355) @t184)))) % 1.20/1.41 (assume @p275 (forall @t423 (=> @t362 (=> @t422 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t432 (tptp.hAPP @t340 @t419)))))) % 1.20/1.41 (assume @p276 (forall @t363 (=> @t362 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t434 @t433)))) % 1.20/1.41 (assume @p277 (forall @t363 (=> @t362 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t432 @t435)))) % 1.20/1.41 (assume @p278 (forall @t116 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t82 (tptp.hAPP @t225 @t436)))) % 1.20/1.41 (assume @p279 (forall @t116 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t82 @t436))) % 1.20/1.41 (assume @p280 (forall @t113 (=> @t356 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t355) @t375)))) % 1.20/1.41 (assume @p281 (forall @t251 (= (= @t254 @t437) @t440))) % 1.20/1.41 (assume @p282 (forall @t168 (= (tptp.hAPP @t314 @t437) @t60))) % 1.20/1.41 (assume @p283 (forall @t251 (= (= @t437 @t254) @t440))) % 1.20/1.41 (assume @p284 (forall @t168 (= (tptp.hAPP (tptp.hAPP @t224 @t437) @t60) @t60))) % 1.20/1.41 (assume @p285 (forall @t95 (=> @t177 (= (tptp.c_Polynomial_Osmult @t7 @t347 @t88) @t88)))) % 1.20/1.41 (assume @p286 (= (tptp.c_Nat_Onat_Onat__size @t66) @t66)) % 1.20/1.41 (assume @p287 (forall @t446 (=> (tptp.class_Rings_Olinordered__semiring__1 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t71 @t12) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t170 @t12) (=> @t445 (=> @t444 (=> @t443 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t442 @t12))))))))) % 1.20/1.41 (assume @p288 (forall @t61 (=> @t177 (and (=> @t252 (= @t447 @t347)) (=> @t448 (= @t447 @t18)))))) % 1.20/1.41 (assume @p289 (forall @t223 (=> @t368 (=> (= @t128 @t18) (= @t357 @t121))))) % 1.20/1.41 (assume @p290 (forall @t67 (=> @t358 @t449))) % 1.20/1.41 (assume @p291 (forall @t67 (=> @t368 @t449))) % 1.20/1.41 (assume @p292 (forall @t335 (=> @t371 (= @t370 (= @t137 @t26))))) % 1.20/1.41 (assume @p293 (forall @t67 (=> @t368 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t357) @t18)))) % 1.20/1.41 (assume @p294 (forall @t223 (=> @t455 (=> (or (and @t454 @t453) (and @t452 @t451)) @t450)))) % 1.20/1.41 (assume @p295 (forall @t223 (=> @t457 (=> (or (and @t454 @t451) (and @t452 @t453)) @t456)))) % 1.20/1.41 (assume @p296 (forall @t297 (=> @t461 (=> @t374 (=> @t403 (=> @t451 @t460)))))) % 1.20/1.41 (assume @p297 (forall @t297 (=> @t461 (=> @t374 (=> @t403 (=> @t454 @t460)))))) % 1.20/1.41 (assume @p298 (forall @t126 (=> @t457 (=> @t467 (=> @t466 @t465))))) % 1.20/1.41 (assume @p299 (forall @t126 (=> @t457 (=> @t467 (=> @t466 @t468))))) % 1.20/1.41 (assume @p300 (forall @t130 (=> (tptp.class_Rings_Oordered__comm__semiring @t7) @t469))) % 1.20/1.41 (assume @p301 (forall @t130 (=> @t461 @t469))) % 1.20/1.41 (assume @p302 (forall @t130 (=> @t461 (=> @t374 (=> @t459 @t468))))) % 1.20/1.41 (assume @p303 (forall @t223 (=> @t457 (=> @t452 (=> @t453 @t456))))) % 1.20/1.41 (assume @p304 (forall @t223 (=> @t455 (=> @t452 (=> @t451 @t450))))) % 1.20/1.41 (assume @p305 (forall @t223 (=> @t455 (=> @t454 (=> @t453 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t222 @t18)))))) % 1.20/1.41 (assume @p306 (forall @t223 (=> @t455 (=> @t454 (=> @t453 @t450))))) % 1.20/1.41 (assume @p307 (forall @t223 (=> @t455 (=> @t454 (=> @t451 @t456))))) % 1.20/1.41 (assume @p308 (forall @t335 (=> @t282 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t334 @t26) (or (and @t367 @t471) (and @t364 @t470)))))) % 1.20/1.41 (assume @p309 (forall @t335 (=> @t282 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t26 @t334) (or (and @t367 @t470) (and @t364 @t471)))))) % 1.20/1.41 (assume @p310 (forall @t67 (=> @t473 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t472)))) % 1.20/1.41 (assume @p311 (forall @t223 (=> @t474 (=> @t452 (=> @t453 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t128 @t18)))))) % 1.20/1.41 (assume @p312 (forall @t476 (=> @t474 (=> @t459 (=> @t467 @t475))))) % 1.20/1.41 (assume @p313 (forall @t130 (=> @t474 (=> @t454 (=> @t477 @t475))))) % 1.20/1.41 (assume @p314 (forall @t75 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t21) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t26 @t46) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t26 @t73) (= @t478 @t279)))))) % 1.20/1.41 (assume @p315 (forall @t223 (=> @t474 (=> @t454 (=> @t451 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t128)))))) % 1.20/1.41 (assume @p316 (forall @t159 (=> @t158 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t157 @t26) @t364)))) % 1.20/1.41 (assume @p317 (forall @t159 (=> @t158 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t26 @t157) @t367)))) % 1.20/1.41 (assume @p318 (forall (@list @t82 @t7) (=> @t177 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t82 @t82) (tptp.hAPP (tptp.hAPP @t190 @t479) @t82))))) % 1.20/1.41 (assume @p319 (forall (@list @t12 @t82 @t7) (=> @t177 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t82 @t236) @t481)))) % 1.20/1.41 (assume @p320 (forall (@list @t82 @t12 @t7) (=> @t177 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t236 @t82) @t481)))) % 1.20/1.41 (assume @p321 (= @t437 @t286)) % 1.20/1.41 (assume @p322 (forall @t263 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t273 @t272) @t413))) % 1.20/1.41 (assume @p323 (forall @t168 (= @t77 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t437 @t60)))) % 1.20/1.41 (assume @p324 (forall @t168 (= @t77 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t60 @t437)))) % 1.20/1.41 (assume @p325 (forall @t227 (=> (= @t82 @t226) (or (= @t60 @t437) (= @t82 @t66))))) % 1.20/1.41 (assume @p326 (forall @t20 (=> @t177 (= (tptp.c_Polynomial_Odegree @t7 @t359) @t66)))) % 1.20/1.41 (assume @p327 (forall @t113 (=> @t11 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t291 @t184)))) % 1.20/1.41 (assume @p328 (forall @t484 (=> @t142 (=> @t483 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t193 @t60) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t482 @t60)))))) % 1.20/1.41 (assume @p329 (forall @t78 (=> @t19 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t283 @t60)))) % 1.20/1.41 (assume @p330 (forall @t75 (=> @t282 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t281 @t26) @t279)))) % 1.20/1.41 (assume @p331 (forall @t382 (=> @t473 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t486)))) % 1.20/1.41 (assume @p332 (forall @t251 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t286 @t254) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t286 @t248) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t286 @t64))))) % 1.20/1.41 (assume @p333 (forall @t376 (=> @t19 (=> (not @t487) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t60 @t184))))) % 1.20/1.41 (assume @p334 (forall @t113 (=> @t19 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t186 @t185)))) % 1.20/1.41 (assume @p335 (forall @t75 (=> @t371 (= @t478 (= @t73 @t488))))) % 1.20/1.41 (assume @p336 (forall @t72 (=> @t489 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t71 @t71)))) % 1.20/1.41 (assume @p337 (forall (@list @t490 @t255) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t255 @t490) (exists @t98 (= @t490 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t255 @t96)))))) % 1.20/1.41 (assume @p338 (forall @t317 (=> @t492 @t491))) % 1.20/1.41 (assume @p339 (forall @t493 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t71 @t244) @t491))) % 1.20/1.41 (assume @p340 (forall @t382 (=> @t495 (=> @t494 (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t170) @t353))))) % 1.20/1.41 (assume @p341 (forall @t75 (=> @t498 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t488 @t497) @t496)))) % 1.20/1.41 (assume @p342 (forall @t382 (=> @t504 (and (=> @t502 (= @t500 @t18)) (=> @t503 (= @t500 @t347)))))) % 1.20/1.41 (assume @p343 (forall @t312 (=> @t504 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t359 @t170) @t359)))) % 1.20/1.41 (assume @p344 (forall @t72 (=> @t504 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t71 @t359) @t359)))) % 1.20/1.41 (assume @p345 (forall @t382 (=> @t504 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t71 @t505) @t499)))) % 1.20/1.41 (assume @p346 (forall @t382 (=> @t504 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t506 @t170) @t499)))) % 1.20/1.41 (assume @p347 (forall @t130 (=> @t504 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t508 @t81) @t507)))) % 1.20/1.41 (assume @p348 (forall @t126 (=> @t504 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t121 (tptp.c_Polynomial_Opoly__gcd @t7 @t12 @t81)) @t507)))) % 1.20/1.41 (assume @p349 (forall @t223 (=> @t504 (= @t508 (tptp.c_Polynomial_Opoly__gcd @t7 @t121 @t12))))) % 1.20/1.41 (assume @p350 (forall @t75 (=> @t511 (= (= @t510 @t23) (and (= @t46 @t23) @t509))))) % 1.20/1.41 (assume @p351 (forall @t20 (=> @t504 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t9 @t9) @t9)))) % 1.20/1.41 (assume @p352 (forall @t515 (=> @t514 (= @t513 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t39 @t5 @t4)))))) % 1.20/1.41 (assume @p353 (forall @t382 (=> @t517 (or @t494 @t516)))) % 1.20/1.41 (assume @p354 (forall @t75 (=> @t519 (= @t74 (and @t518 @t496))))) % 1.20/1.41 (assume @p355 (forall @t382 (=> @t489 (=> @t171 @t494)))) % 1.20/1.41 (assume @p356 (forall (@list @t46 @t1 @t2 @t21 @t39) (=> @t514 (=> @t513 (tptp.c_Orderings_Oord__class_Oless__eq @t39 (tptp.hAPP @t2 @t46) (tptp.hAPP @t1 @t46)))))) % 1.20/1.41 (assume @p357 (forall @t521 (=> @t519 (=> @t496 @t520)))) % 1.20/1.41 (assume @p358 (forall @t130 (=> @t523 (=> @t277 (=> @t477 @t522))))) % 1.20/1.41 (assume @p359 (forall @t130 (=> @t525 (=> @t277 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t81 @t121) @t524))))) % 1.20/1.41 (assume @p360 (forall @t130 (=> @t523 (=> @t374 (=> @t122 @t522))))) % 1.20/1.41 (assume @p361 (forall @t126 (=> @t525 (=> @t467 (=> @t122 @t524))))) % 1.20/1.41 (assume @p362 (forall @t382 (=> @t525 (=> @t494 (=> @t516 @t171))))) % 1.20/1.41 (assume @p363 (forall @t246 (=> @t489 (=> @t494 (=> @t526 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t71 @t244)))))) % 1.20/1.41 (assume @p364 (forall @t527 (=> @t525 (=> @t516 (=> @t494 @t171))))) % 1.20/1.41 (assume @p365 (forall @t529 (=> @t525 (=> @t516 (=> @t528 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t244 @t71)))))) % 1.20/1.41 (assume @p366 (forall @t382 (=> @t517 (=> (not @t494) @t516)))) % 1.20/1.41 (assume @p367 (forall @t67 (=> @t530 (= @t472 @t12)))) % 1.20/1.41 (assume @p368 (forall @t72 (=> @t530 (= @t485 @t71)))) % 1.20/1.41 (assume @p369 (forall @t223 (=> @t530 (= (tptp.hAPP @t202 @t203) @t203)))) % 1.20/1.41 (assume @p370 (forall @t72 (=> @t495 (= (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t353) @t71)))) % 1.20/1.41 (assume @p371 (forall (@list @t46 @t531 @t39 @t21) (=> (tptp.class_Groups_Ouminus @t21) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun @t39 @t21) @t531) @t46) (tptp.c_Groups_Ouminus__class_Ouminus @t21 (tptp.hAPP @t531 @t46)))))) % 1.20/1.41 (assume @p372 (forall @t75 (=> @t498 (= (= @t488 @t497) @t74)))) % 1.20/1.41 (assume @p373 (forall (@list @t24 @t131 @t21) (=> @t94 (= (tptp.c_Rings_Odvd__class_Odvd @t22 (tptp.c_Polynomial_OpCons @t21 @t131 @t533) @t24) (= (tptp.hAPP @t99 @t532) @t26))))) % 1.20/1.41 (assume @p374 (forall @t294 (=> @t94 (= (= (tptp.hAPP @t99 @t131) @t26) (tptp.c_Rings_Odvd__class_Odvd @t22 (tptp.c_Polynomial_OpCons @t21 @t532 @t533) @t24))))) % 1.20/1.41 (assume @p375 (forall @t376 (=> @t19 (=> @t483 (=> @t487 (or @t89 @t534)))))) % 1.20/1.41 (assume @p376 (forall @t72 (=> @t504 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t71 @t9) @t536)))) % 1.20/1.41 (assume @p377 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t66)) % 1.20/1.41 (assume @p378 (forall @t67 (=> @t177 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t18)))) % 1.20/1.41 (assume @p379 (forall @t168 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t66)))) % 1.20/1.41 (assume @p380 (forall @t227 (=> @t538 @t537))) % 1.20/1.41 (assume @p381 (forall @t168 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t77))) % 1.20/1.41 (assume @p382 (forall @t382 (=> @t504 (tptp.c_Rings_Odvd__class_Odvd @t8 @t499 @t71)))) % 1.20/1.41 (assume @p383 (forall @t382 (=> @t504 (tptp.c_Rings_Odvd__class_Odvd @t8 @t499 @t170)))) % 1.20/1.41 (assume @p384 (forall @t168 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t77))) % 1.20/1.41 (assume @p385 (forall @t72 (=> @t489 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t71 @t71))))) % 1.20/1.41 (assume @p386 (forall @t75 (=> @t542 (= @t541 (or @t540 @t539))))) % 1.20/1.41 (assume @p387 (forall @t75 (=> @t542 (= @t543 (or @t539 @t74))))) % 1.20/1.41 (assume @p388 (forall @t382 (=> @t517 (or @t545 @t171 @t544)))) % 1.20/1.41 (assume @p389 (forall @t521 (=> @t542 (=> (not @t539) @t546)))) % 1.20/1.41 (assume @p390 (forall @t382 (=> @t517 @t549))) % 1.20/1.41 (assume @p391 (forall @t382 (=> @t525 (=> @t545 @t548)))) % 1.20/1.41 (assume @p392 (forall @t382 (=> @t489 (=> @t545 (not @t544))))) % 1.20/1.41 (assume @p393 (forall @t382 (=> @t525 (=> @t545 @t550)))) % 1.20/1.41 (assume @p394 (forall @t223 (=> @t489 (=> @t552 (not @t551))))) % 1.20/1.41 (assume @p395 (forall @t553 (=> @t525 (=> @t551 (not @t552))))) % 1.20/1.41 (assume @p396 (forall @t130 (=> @t523 (=> @t277 (=> @t555 @t554))))) % 1.20/1.41 (assume @p397 (forall @t130 (=> @t525 (=> @t277 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t81 @t121) @t556))))) % 1.20/1.41 (assume @p398 (forall @t130 (=> @t523 (=> @t552 (=> @t122 @t554))))) % 1.20/1.41 (assume @p399 (forall @t126 (=> @t525 (=> @t551 (=> @t122 @t556))))) % 1.20/1.41 (assume @p400 (forall @t246 (=> @t489 (=> @t545 @t558)))) % 1.20/1.41 (assume @p401 (forall @t529 (=> @t525 (=> @t544 @t560)))) % 1.20/1.41 (assume @p402 (forall @t382 (=> @t517 (=> @t547 (=> @t548 @t544))))) % 1.20/1.41 (assume @p403 (forall @t67 (=> @t177 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t18 @t12) @t284)))) % 1.20/1.41 (assume @p404 (forall @t130 (=> @t177 (=> @t562 @t561)))) % 1.20/1.41 (assume @p405 (forall @t130 (=> @t177 (=> @t562 @t563)))) % 1.20/1.41 (assume @p406 (forall (@list @t318 @t121 @t12 @t7) (=> (tptp.class_Rings_Odvd @t7) (=> (= @t12 (tptp.hAPP @t204 @t318)) (tptp.c_Rings_Odvd__class_Odvd @t7 @t121 @t12))))) % 1.20/1.41 (assume @p407 (forall @t297 (=> @t177 (=> @t564 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t81 @t275) (tptp.c_Rings_Odvd__class_Odvd @t7 @t237 @t458)))))) % 1.20/1.41 (assume @p408 (forall @t405 (=> @t177 (=> @t563 @t565)))) % 1.20/1.41 (assume @p409 (forall @t130 (=> @t177 (=> @t564 @t565)))) % 1.20/1.41 (assume @p410 (forall @t223 (=> @t177 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t222)))) % 1.20/1.41 (assume @p411 (forall @t223 (=> @t177 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t203)))) % 1.20/1.41 (assume @p412 (forall @t130 (=> @t177 (=> @t564 (=> @t563 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t138)))))) % 1.20/1.41 (assume @p413 (forall @t20 (=> @t567 @t566))) % 1.20/1.41 (assume @p414 (forall @t159 (=> @t569 (= (= @t568 @t26) @t28)))) % 1.20/1.41 (assume @p415 (forall @t67 (=> @t572 (=> @t285 (not @t571))))) % 1.20/1.41 (assume @p416 (forall @t67 (=> @t572 (=> @t285 @t573)))) % 1.20/1.41 (assume @p417 (forall @t67 (=> @t572 (=> @t571 @t284)))) % 1.20/1.41 (assume @p418 (forall @t223 (=> @t572 (=> @t575 (=> @t285 (=> @t333 @t277)))))) % 1.20/1.41 (assume @p419 (forall @t67 (=> @t177 (tptp.c_Rings_Odvd__class_Odvd @t7 @t347 @t12)))) % 1.20/1.41 (assume @p420 (forall @t75 (=> @t577 (= (tptp.c_Rings_Odvd__class_Odvd @t21 @t488 @t73) @t576)))) % 1.20/1.41 (assume @p421 (forall @t75 (=> @t577 (= (tptp.c_Rings_Odvd__class_Odvd @t21 @t46 @t497) @t576)))) % 1.20/1.41 (assume @p422 (forall @t20 (=> @t572 (= (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t347) @t347)))) % 1.20/1.41 (assume @p423 (forall @t67 (=> @t567 @t578))) % 1.20/1.41 (assume @p424 (forall @t67 (=> @t177 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t12)))) % 1.20/1.41 (assume @p425 (forall @t67 (=> @t567 @t573))) % 1.20/1.41 (assume @p426 (forall @t335 (=> @t569 (= (= @t568 (tptp.c_Rings_Oinverse__class_Oinverse @t21 @t34)) @t35)))) % 1.20/1.41 (assume @p427 (forall @t382 (=> @t381 @t549))) % 1.20/1.41 (assume @p428 (forall @t130 (=> @t177 (=> @t564 (=> @t561 @t563))))) % 1.20/1.41 (assume @p429 (forall @t223 (=> @t567 (=> @t575 @t277)))) % 1.20/1.41 (assume @p430 (forall @t168 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t60)))) % 1.20/1.41 (assume @p431 (forall @t251 (= @t581 (or @t580 @t579)))) % 1.20/1.41 (assume @p432 (forall @t172 (=> @t548 (=> (not @t582) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t170 @t71))))) % 1.20/1.41 (assume @p433 (forall @t431 (=> @t583 @t86))) % 1.20/1.41 (assume @p434 (forall (@list @t584 @t585) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t585 @t584) (not (= @t585 @t584))))) % 1.20/1.41 (assume @p435 (forall (@list @t57 @t64 @t248) (=> (=> @t580 @t587) (=> (=> @t257 @t587) (=> (=> @t579 @t587) @t587))))) % 1.20/1.41 (assume @p436 (forall @t75 (=> @t542 (= @t543 @t496)))) % 1.20/1.41 (assume @p437 (forall @t75 (=> @t542 (= (not @t518) @t539)))) % 1.20/1.41 (assume @p438 (forall @t382 (=> @t517 (or @t494 @t544)))) % 1.20/1.41 (assume @p439 (forall @t75 (=> @t519 (= @t540 (and @t518 @t541))))) % 1.20/1.41 (assume @p440 (forall @t75 (=> (tptp.class_Orderings_Opreorder @t21) (= @t540 (and @t518 (not @t496)))))) % 1.20/1.41 (assume @p441 (forall @t75 (=> @t519 (= @t518 (or @t540 @t74))))) % 1.20/1.41 (assume @p442 (forall @t382 (=> @t517 (=> @t547 @t516)))) % 1.20/1.41 (assume @p443 (forall @t527 (=> @t517 (=> (not @t516) @t545)))) % 1.20/1.41 (assume @p444 (forall @t75 (=> @t542 (=> @t543 @t520)))) % 1.20/1.41 (assume @p445 (forall @t223 (=> @t525 (=> @t588 (=> @t374 @t552))))) % 1.20/1.41 (assume @p446 (forall @t223 (=> @t525 (=> @t588 (=> @t467 @t551))))) % 1.20/1.41 (assume @p447 (forall @t527 (=> @t517 (=> @t516 @t547)))) % 1.20/1.41 (assume @p448 (forall @t382 (=> @t489 (=> @t545 @t494)))) % 1.20/1.41 (assume @p449 (forall @t75 (=> @t542 (=> @t518 @t546)))) % 1.20/1.41 (assume @p450 (forall @t382 (=> @t525 (=> @t494 (or @t545 @t171))))) % 1.20/1.41 (assume @p451 (forall @t223 (=> @t525 (=> @t374 (=> @t588 @t552))))) % 1.20/1.41 (assume @p452 (forall @t553 (=> @t525 (=> @t467 (=> @t588 @t551))))) % 1.20/1.41 (assume @p453 (forall @t246 (=> @t489 (=> @t545 (=> @t526 @t557))))) % 1.20/1.41 (assume @p454 (forall @t529 (=> @t525 (=> @t544 (=> @t528 @t559))))) % 1.20/1.41 (assume @p455 (forall @t246 (=> @t489 (=> @t494 @t558)))) % 1.20/1.41 (assume @p456 (forall @t529 (=> @t525 (=> @t516 @t560)))) % 1.20/1.41 (assume @p457 (forall @t396 (=> @t395 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t136 @t394) @t589)))) % 1.20/1.41 (assume @p458 (forall @t398 (=> @t395 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t133 @t397) @t589)))) % 1.20/1.41 (assume @p459 (forall @t130 (=> @t591 (=> @t552 @t590)))) % 1.20/1.41 (assume @p460 (forall @t130 (=> @t591 (=> @t552 @t592)))) % 1.20/1.41 (assume @p461 (forall @t297 (=> @t591 (=> @t552 @t595)))) % 1.20/1.41 (assume @p462 (forall @t405 (=> @t404 (=> @t590 @t552)))) % 1.20/1.41 (assume @p463 (forall @t406 (=> @t404 (=> @t592 @t552)))) % 1.20/1.41 (assume @p464 (forall @t335 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t27 @t369) (tptp.c_Orderings_Oord__class_Oless @t21 @t34 @t365))))) % 1.20/1.41 (assume @p465 (forall @t335 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t365 @t34) (tptp.c_Orderings_Oord__class_Oless @t21 @t369 @t27))))) % 1.20/1.41 (assume @p466 (forall @t176 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t369 @t365) @t589)))) % 1.20/1.41 (assume @p467 (forall @t407 (= @t597 @t596))) % 1.20/1.41 (assume @p468 (forall @t227 (=> @t538 @t448))) % 1.20/1.41 (assume @p469 (forall @t168 (=> @t448 @t598))) % 1.20/1.41 (assume @p470 (forall @t601 (=> @t177 (=> @t600 @t599)))) % 1.20/1.41 (assume @p471 (forall @t162 (=> @t177 (=> @t602 @t600)))) % 1.20/1.41 (assume @p472 (forall @t227 (=> @t537 @t538))) % 1.20/1.41 (assume @p473 (forall @t227 (=> @t603 @t538))) % 1.20/1.41 (assume @p474 (forall @t227 (=> @t605 (=> @t604 @t85)))) % 1.20/1.41 (assume @p475 (forall @t363 (=> @t606 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t337 @t318) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t338) @t318))))) % 1.20/1.41 (assume @p476 (forall @t227 (=> @t538 (=> (not (= @t115 @t60)) @t603)))) % 1.20/1.41 (assume @p477 (forall @t227 (=> @t538 @t605))) % 1.20/1.41 (assume @p478 (forall @t431 (=> (not @t583) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t115) @t85)))) % 1.20/1.41 (assume @p479 (forall @t412 (=> (not @t579) @t608))) % 1.20/1.41 (assume @p480 (forall @t251 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t410 @t411) @t580))) % 1.20/1.41 (assume @p481 (forall @t251 (= @t610 @t609))) % 1.20/1.41 (assume @p482 (forall @t251 (= (not @t580) @t607))) % 1.20/1.41 (assume @p483 (forall @t363 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t339 @t318) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t338 @t318)))) % 1.20/1.41 (assume @p484 (forall (@list @t60 @t82 @t419 @t318) (=> @t612 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t82 @t419) @t611) @t538)))) % 1.20/1.41 (assume @p485 (forall @t423 (=> @t606 (=> @t612 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t421 @t420))))) % 1.20/1.41 (assume @p486 (forall @t363 (=> @t606 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t421 @t424)))) % 1.20/1.41 (assume @p487 (forall @t426 (=> @t606 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t338 @t425)))) % 1.20/1.41 (assume @p488 (forall @t426 (=> @t606 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t338 @t427)))) % 1.20/1.41 (assume @p489 (forall @t263 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t328 @t327) @t580))) % 1.20/1.41 (assume @p490 (forall (@list @t338 @t337) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t613 @t338)))) % 1.20/1.41 (assume @p491 (forall (@list @t337 @t338) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t339 @t338)))) % 1.20/1.41 (assume @p492 (forall @t317 (=> @t582 @t614))) % 1.20/1.41 (assume @p493 (forall @t493 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t71 @t244) @t614))) % 1.20/1.41 (assume @p494 (forall @t251 (= @t580 (and @t413 @t581)))) % 1.20/1.41 (assume @p495 (forall @t251 (= @t413 @t609))) % 1.20/1.41 (assume @p496 (forall @t227 (=> @t538 @t361))) % 1.20/1.41 (assume @p497 (forall @t227 (=> @t361 (=> @t86 @t538)))) % 1.20/1.41 (assume @p498 (forall @t227 (=> (or @t538 @t85) @t361))) % 1.20/1.41 (assume @p499 (forall @t172 (=> @t582 @t492))) % 1.20/1.41 (assume @p500 (forall (@list @t73 @t46 @t255 @t21) (=> @t511 (= (tptp.c_Rings_Odvd__class_Odvd @t22 @t255 @t510) (and (tptp.c_Rings_Odvd__class_Odvd @t22 @t255 @t46) (tptp.c_Rings_Odvd__class_Odvd @t22 @t255 @t73)))))) % 1.20/1.41 (assume @p501 (forall (@list @t170 @t71 @t318 @t7) (=> @t504 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t318 @t71) (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t318 @t170) (tptp.c_Rings_Odvd__class_Odvd @t8 @t318 @t499)))))) % 1.20/1.41 (assume @p502 (forall @t398 (=> @t94 (= (tptp.c_Rings_Odvd__class_Odvd @t21 @t619 @t618) @t616)))) % 1.20/1.41 (assume @p503 (forall @t396 (=> @t94 (= (tptp.c_Rings_Odvd__class_Odvd @t21 @t243 @t240) @t616)))) % 1.20/1.41 (assume @p504 (forall @t223 (=> @t572 (=> @t285 (=> @t333 (= @t620 (tptp.hAPP (tptp.hAPP @t190 @t574) @t570))))))) % 1.20/1.41 (assume @p505 (forall @t67 (=> @t572 (=> @t285 @t578)))) % 1.20/1.41 (assume @p506 (forall @t223 (=> @t572 (=> (= @t203 @t347) (= @t570 @t121))))) % 1.20/1.41 (assume @p507 (forall @t183 (=> @t504 (=> @t599 (=> @t285 @t600))))) % 1.20/1.41 (assume @p508 (forall @t601 (=> @t504 (=> @t600 (=> @t285 @t602))))) % 1.20/1.41 (assume @p509 (forall @t623 (=> @t511 (=> @t622 (= (tptp.c_Rings_Odvd__class_Odvd @t22 @t24 (tptp.c_Polynomial_Osmult @t21 @t27 @t32)) @t621))))) % 1.20/1.41 (assume @p510 (forall @t126 (=> @t626 (=> @t551 (=> @t625 @t624))))) % 1.20/1.41 (assume @p511 (forall @t126 (=> @t626 (=> @t551 (=> @t625 @t627))))) % 1.20/1.41 (assume @p512 (forall @t130 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t7) @t629))) % 1.20/1.41 (assume @p513 (forall @t130 (=> @t630 @t629))) % 1.20/1.41 (assume @p514 (forall @t130 (=> @t630 (=> @t552 (=> @t628 @t627))))) % 1.20/1.41 (assume @p515 (forall @t223 (=> @t626 (=> @t633 (=> @t632 @t631))))) % 1.20/1.41 (assume @p516 (forall @t223 (=> @t630 (=> @t633 (=> @t635 @t634))))) % 1.20/1.41 (assume @p517 (forall @t398 (=> @t282 (=> @t638 (= @t637 @t636))))) % 1.20/1.41 (assume @p518 (forall @t553 (=> @t630 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t18 @t222) @t640)))) % 1.20/1.41 (assume @p519 (forall @t223 (=> @t630 (=> @t631 @t640)))) % 1.20/1.41 (assume @p520 (forall @t223 (=> @t630 (=> @t639 (=> @t632 (tptp.c_Orderings_Oord__class_Oless @t7 @t222 @t18)))))) % 1.20/1.41 (assume @p521 (forall @t223 (=> @t630 (=> @t639 (=> @t632 @t634))))) % 1.20/1.41 (assume @p522 (forall @t223 (=> @t630 (=> @t639 (=> @t635 @t631))))) % 1.20/1.41 (assume @p523 (forall @t398 (=> @t282 (=> @t641 (= @t637 @t589))))) % 1.20/1.41 (assume @p524 (forall @t398 (=> @t282 (= @t637 @t642)))) % 1.20/1.41 (assume @p525 (forall @t396 (=> @t282 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t243 @t240) @t642)))) % 1.20/1.41 (assume @p526 (forall @t67 (=> @t473 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t472 @t18))))) % 1.20/1.41 (assume @p527 (forall @t159 (=> @t645 @t644))) % 1.20/1.41 (assume @p528 (forall @t223 (=> @t474 (=> @t633 @t647)))) % 1.20/1.41 (assume @p529 (forall @t223 (=> @t474 (=> @t639 @t649)))) % 1.20/1.42 (assume @p530 (forall @t159 (=> @t158 @t644))) % 1.20/1.42 (assume @p531 (forall @t159 (=> @t158 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t26 @t157) @t650)))) % 1.20/1.42 (assume @p532 (forall @t130 (=> @t354 (=> @t639 @t652)))) % 1.20/1.42 (assume @p533 (forall @t297 (=> @t591 (=> @t552 (=> @t403 @t593))))) % 1.20/1.42 (assume @p534 (forall @t297 (=> @t591 (=> @t374 @t595)))) % 1.20/1.42 (assume @p535 (forall @t20 (=> @t354 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t347 @t18))))) % 1.20/1.42 (assume @p536 (forall @t20 (=> @t354 (tptp.c_Orderings_Oord__class_Oless @t7 @t18 @t347)))) % 1.20/1.42 (assume @p537 (forall @t159 (=> @t645 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t27 @t365) @t643)))) % 1.20/1.42 (assume @p538 (forall @t159 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t26 @t365) @t643)))) % 1.20/1.42 (assume @p539 (forall @t159 (=> @t366 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t365 @t26) @t650)))) % 1.20/1.42 (assume @p540 (forall @t159 (=> @t158 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t365 @t27) @t650)))) % 1.20/1.42 (assume @p541 (forall (@list @t60 @t82 @t7) (=> @t354 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t347 @t82) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t347 @t60) (tptp.c_Orderings_Oord__class_Oless @t7 @t347 (tptp.hAPP (tptp.hAPP @t190 @t82) @t60))))))) % 1.20/1.42 (assume @p542 (forall @t67 (=> @t354 (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t480)))) % 1.20/1.42 (assume @p543 (forall @t407 (= @t596 (exists (@list @t653) (= @t64 (tptp.c_Nat_OSuc @t653)))))) % 1.20/1.42 (assume @p544 (forall @t407 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t64 @t286) @t247))) % 1.20/1.42 (assume @p545 (forall @t251 (= @t610 (or @t249 (exists (@list @t654) (and (= @t248 (tptp.c_Nat_OSuc @t654)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t654 @t64))))))) % 1.20/1.42 (assume @p546 (forall @t197 (=> @t200 (=> (= @t195 @t194) (=> @t600 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t79 @t88) (= @t88 @t79))))))) % 1.20/1.42 (assume @p547 (forall @t251 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t250) (or @t655 @t596)))) % 1.20/1.42 (assume @p548 (forall @t656 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t338 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t338 @t82))))) % 1.20/1.42 (assume @p549 (forall @t656 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t338 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t82 @t338))))) % 1.20/1.42 (assume @p550 (forall @t251 (= @t580 (exists @t430 (= @t64 (tptp.c_Nat_OSuc @t429)))))) % 1.20/1.42 (assume @p551 (forall @t227 (=> @t408 @t538))) % 1.20/1.42 (assume @p552 (forall @t251 (=> @t413 @t608))) % 1.20/1.42 (assume @p553 (forall @t227 (=> @t538 @t408))) % 1.20/1.42 (assume @p554 (forall @t227 (=> @t361 @t605))) % 1.20/1.42 (assume @p555 (forall @t251 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t410 @t64) @t580))) % 1.20/1.42 (assume @p556 (forall @t251 (= @t610 @t413))) % 1.20/1.42 (assume @p557 (forall @t412 (= @t579 @t414))) % 1.20/1.42 (assume @p558 (forall @t263 (=> @t658 (= @t657 @t580)))) % 1.20/1.42 (assume @p559 (forall @t263 (=> @t658 (= @t262 @t257)))) % 1.20/1.42 (assume @p560 (forall @t363 (=> @t606 (=> @t659 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t434 @t433))))) % 1.20/1.42 (assume @p561 (forall @t363 (=> @t606 (=> @t659 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t432 @t435))))) % 1.20/1.42 (assume @p562 (forall @t267 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t266 @t265) @t660))) % 1.20/1.42 (assume @p563 (forall @t263 (= @t657 @t660))) % 1.20/1.42 (assume @p564 (forall @t251 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t254) (and @t655 @t596)))) % 1.20/1.42 (assume @p565 (forall @t263 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t273 @t272) @t580))) % 1.20/1.42 (assume @p566 (forall @t484 (=> @t142 (=> @t534 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t193 @t60) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t482 @t60)))))) % 1.20/1.42 (assume @p567 (forall @t197 (=> @t142 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t184 @t193) (= @t482 @t193))))) % 1.20/1.42 (assume @p568 (forall (@list @t88 @t79 @t7) (=> @t142 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t193 @t184) (= @t482 @t184))))) % 1.20/1.42 (assume @p569 (forall @t223 (=> @t572 (=> @t285 (=> @t333 (= @t662 (tptp.hAPP (tptp.hAPP @t190 (tptp.hAPP @t661 @t128)) @t574))))))) % 1.20/1.42 (assume @p570 (forall @t67 (=> @t572 @t663))) % 1.20/1.42 (assume @p571 (forall @t67 (=> @t572 (=> @t285 (= (tptp.hAPP @t202 @t570) @t347))))) % 1.20/1.42 (assume @p572 (forall @t406 (=> @t630 (=> @t465 @t664)))) % 1.20/1.42 (assume @p573 (forall @t405 (=> @t630 (=> @t468 @t664)))) % 1.20/1.42 (assume @p574 (forall @t406 (=> @t630 @t666))) % 1.20/1.42 (assume @p575 (forall @t406 (=> @t667 @t666))) % 1.20/1.42 (assume @p576 (forall @t405 (=> @t630 @t668))) % 1.20/1.42 (assume @p577 (forall @t405 (=> @t667 @t668))) % 1.20/1.42 (assume @p578 (forall @t297 (=> @t630 (=> @t374 (=> @t594 (=> @t639 @t670)))))) % 1.20/1.42 (assume @p579 (forall @t297 (=> @t630 (=> @t552 (=> @t403 (=> @t454 (=> @t628 @t669))))))) % 1.20/1.42 (assume @p580 (forall @t297 (=> @t630 (=> @t552 (=> @t594 (=> @t454 @t670)))))) % 1.20/1.42 (assume @p581 (forall @t297 (=> @t630 (=> @t552 (=> @t594 (=> @t635 @t670)))))) % 1.20/1.42 (assume @p582 (forall @t398 (=> @t282 (=> @t638 (= @t671 (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t34 @t27)))))) % 1.20/1.42 (assume @p583 (forall @t398 (=> @t282 (=> @t641 (= @t671 @t372))))) % 1.20/1.42 (assume @p584 (forall @t223 (=> @t474 (=> @t452 @t647)))) % 1.20/1.42 (assume @p585 (forall @t223 (=> @t474 (=> @t633 (=> @t453 @t646))))) % 1.20/1.42 (assume @p586 (forall @t130 (=> @t474 (=> @t454 @t652)))) % 1.20/1.42 (assume @p587 (forall @t130 (=> @t474 (=> @t639 (=> @t477 @t651))))) % 1.20/1.42 (assume @p588 (forall @t223 (=> @t474 (=> @t454 @t649)))) % 1.20/1.42 (assume @p589 (forall @t223 (=> @t474 (=> @t639 (=> @t451 @t648))))) % 1.20/1.42 (assume @p590 (forall @t75 (=> @t282 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t26 @t281) (or (not @t47) (not @t278)))))) % 1.20/1.42 (assume @p591 (forall @t382 (=> @t473 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t486 @t18))))) % 1.20/1.42 (assume @p592 (forall @t623 (=> @t511 (= (tptp.c_Rings_Odvd__class_Odvd @t22 @t93 @t32) (and (=> @t28 @t672) (=> @t622 @t621)))))) % 1.20/1.42 (assume @p593 (forall @t20 (=> @t354 (tptp.c_Orderings_Oord__class_Oless @t7 @t18 @t479)))) % 1.20/1.42 (assume @p594 (forall @t197 (=> @t200 (=> @t600 (=> @t199 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t184 @t193)))))) % 1.20/1.42 (assume @p595 (forall @t431 (=> @t674 (=> @t673 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t226))))) % 1.20/1.42 (assume @p596 (forall @t431 (=> @t674 (=> @t673 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t315))))) % 1.20/1.42 (assume @p597 (forall @t431 (=> @t674 (=> @t673 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t286 @t226))))) % 1.20/1.42 (assume @p598 (forall @t263 (=> @t658 (= @t675 @t413)))) % 1.20/1.42 (assume @p599 (forall @t267 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t266 @t265) @t676))) % 1.20/1.42 (assume @p600 (forall @t263 (= @t675 @t676))) % 1.20/1.42 (assume @p601 (forall @t376 (=> @t19 (=> @t534 @t487)))) % 1.20/1.42 (assume @p602 (forall @t446 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t7) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t71 @t12) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t170 @t12) (=> @t445 (=> @t444 (=> @t443 (tptp.c_Orderings_Oord__class_Oless @t7 @t442 @t12))))))))) % 1.20/1.42 (assume @p603 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t66)) % 1.20/1.42 (assume @p604 (forall @t48 (=> @t679 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t350 @t678) (and @t677 (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t46 @t350)))))) % 1.20/1.42 (assume @p605 (forall @t48 (=> @t679 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t678 @t350) (or @t680 (tptp.c_Orderings_Oord__class_Oless @t21 @t350 @t46)))))) % 1.20/1.42 (assume @p606 (forall @t67 (=> @t682 (=> @t639 (=> @t681 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t347 @t570)))))) % 1.20/1.42 (assume @p607 (forall @t67 (=> @t504 @t663))) % 1.20/1.42 (assume @p608 (forall @t67 (=> @t682 (=> @t639 (=> @t683 (tptp.c_Orderings_Oord__class_Oless @t7 @t347 @t570)))))) % 1.20/1.42 (assume @p609 (forall (@list @t318) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t286 @t318))) % 1.20/1.42 (assume @p610 (forall @t515 (=> @t514 (= (tptp.c_Orderings_Oord__class_Oless @t512 @t2 @t1) (and @t513 (not (tptp.c_Orderings_Oord__class_Oless__eq @t512 @t1 @t2))))))) % 1.20/1.42 (assume @p611 (forall (@list @t64 @t255) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t255 @t329) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t255 @t64)))) % 1.20/1.42 (assume @p612 (forall @t684 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t248 @t437) @t439))) % 1.20/1.42 (assume @p613 (forall @t684 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t248 @t286) @t288))) % 1.20/1.42 (assume @p614 (forall @t227 (=> @t686 (=> @t538 (not @t685))))) % 1.20/1.42 (assume @p615 (forall @t263 (= @t688 (or @t256 @t687)))) % 1.20/1.42 (assume @p616 (forall (@list @t60 @t318) (=> @t689 (=> @t598 @t415)))) % 1.20/1.42 (assume @p617 (forall @t263 (=> @t658 (= @t688 @t687)))) % 1.20/1.42 (assume @p618 (forall @t322 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t321 @t320) (=> @t659 @t690)))) % 1.20/1.42 (assume @p619 (forall @t251 (=> @t655 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t264 @t248) @t248) @t438)))) % 1.20/1.42 (assume @p620 (forall @t251 (=> @t655 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t254 @t248) @t438)))) % 1.20/1.42 (assume @p621 (forall @t20 (=> @t691 @t566))) % 1.20/1.42 (assume @p622 (forall @t223 (=> @t691 (= @t620 (tptp.hAPP @t661 @t574))))) % 1.20/1.42 (assume @p623 (forall @t48 (=> (tptp.class_Fields_Ofield__inverse__zero @t21) (= (= @t678 @t350) @t351)))) % 1.20/1.42 (assume @p624 (forall @t159 (=> @t679 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t26 @t568) @t367)))) % 1.20/1.42 (assume @p625 (forall @t159 (=> @t679 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t568 @t26) @t364)))) % 1.20/1.42 (assume @p626 (forall @t159 (=> @t679 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t26 @t568) @t650)))) % 1.20/1.42 (assume @p627 (forall @t159 (=> @t679 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t568 @t26) @t643)))) % 1.20/1.42 (assume @p628 (forall @t67 (=> @t682 (=> @t639 @t692)))) % 1.20/1.42 (assume @p629 (forall @t67 (=> @t682 (=> @t692 (=> @t285 @t639))))) % 1.20/1.42 (assume @p630 (forall @t67 (=> @t682 (=> @t633 @t693)))) % 1.20/1.42 (assume @p631 (forall @t223 (=> @t682 (=> @t552 (=> @t639 @t694))))) % 1.20/1.42 (assume @p632 (forall @t223 (=> @t682 (=> @t552 (=> @t632 @t694))))) % 1.20/1.42 (assume @p633 (forall @t67 (=> @t682 (=> @t693 (=> @t285 @t633))))) % 1.20/1.42 (assume @p634 (forall @t223 (=> @t682 (=> @t695 (=> @t639 @t551))))) % 1.20/1.42 (assume @p635 (forall @t223 (=> @t682 (=> @t695 (=> @t632 @t551))))) % 1.20/1.42 (assume @p636 (forall @t223 (=> @t682 (=> @t374 (=> @t639 @t696))))) % 1.20/1.42 (assume @p637 (forall @t223 (=> @t682 (=> @t374 (=> @t632 @t696))))) % 1.20/1.42 (assume @p638 (forall @t223 (=> @t682 (=> @t697 (=> @t639 @t467))))) % 1.20/1.42 (assume @p639 (forall @t223 (=> @t682 (=> @t697 (=> @t632 @t467))))) % 1.20/1.42 (assume @p640 (forall @t48 (=> @t679 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t678 @t350) (or @t680 (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t350 @t46)))))) % 1.20/1.42 (assume @p641 (forall @t223 (=> @t504 (=> @t285 (=> @t333 (= @t662 (tptp.hAPP (tptp.hAPP @t190 (tptp.hAPP @t235 @t570)) @t574))))))) % 1.20/1.42 (assume @p642 (forall @t48 (=> @t679 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t350 @t678) (and @t677 (tptp.c_Orderings_Oord__class_Oless @t21 @t46 @t350)))))) % 1.20/1.42 (assume @p643 (forall (@list @t490 @t57 @t21) (=> (and @t699 (tptp.class_Rings_Osemiring__0 @t21)) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t57 (tptp.hAPP (tptp.hAPP @t232 @t490) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t21 @t490 (tptp.c_Groups_Oplus__class_Oplus @t21 @t3 @t26)) @t698)))))) % 1.20/1.42 (assume @p644 (forall @t701 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t71 @t700) (or (= @t71 @t66) (= @t71 @t286))))) % 1.20/1.42 (assume @p645 (forall (@list @t170 @t71 @t275 @t7) (=> @t504 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t275 @t71) (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t275 @t170) (=> (forall @t430 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t428 @t71) (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t428 @t170) (tptp.c_Rings_Odvd__class_Odvd @t8 @t428 @t275)))) (=> (and (=> @t502 (= @t702 @t18)) (=> @t503 (= @t702 @t347))) (= @t499 @t275)))))))) % 1.20/1.42 (assume @p646 (forall @t701 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t71 @t71))) % 1.20/1.42 (assume @p647 (forall @t705 (= @t74 (and @t704 @t703)))) % 1.20/1.42 (assume @p648 (forall @t705 (= @t704 (or @t706 @t74)))) % 1.20/1.42 (assume @p649 (forall @t705 (= @t706 (and @t704 @t541)))) % 1.20/1.42 (assume @p650 (forall @t710 (=> @t588 (=> @t708 @t709)))) % 1.20/1.42 (assume @p651 (forall @t172 (=> @t171 @t711))) % 1.20/1.42 (assume @p652 (forall (@list @t46 @t73) (=> @t703 (= @t704 @t74)))) % 1.20/1.42 (assume @p653 (forall @t172 (=> @t711 (or @t713 @t171)))) % 1.20/1.42 (assume @p654 (forall @t710 (=> @t708 (=> @t588 @t709)))) % 1.20/1.42 (assume @p655 (forall @t716 (=> @t277 (=> @t715 @t714)))) % 1.20/1.42 (assume @p656 (forall @t716 (=> @t708 (=> @t122 @t714)))) % 1.20/1.42 (assume @p657 (forall @t227 (=> @t690 (=> @t685 @t85)))) % 1.20/1.42 (assume @p658 (forall @t172 (=> @t711 (=> @t712 @t171)))) % 1.20/1.42 (assume @p659 (forall @t317 (=> @t711 (=> @t718 @t717)))) % 1.20/1.42 (assume @p660 (forall @t716 (=> @t277 (=> (and @t715 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t81 @t121))) @t719)))) % 1.20/1.42 (assume @p661 (forall @t317 (=> @t711 @t721))) % 1.20/1.42 (assume @p662 (forall @t172 (=> @t713 @t548))) % 1.20/1.42 (assume @p663 (forall @t172 (=> @t713 (not (and @t712 (not @t711)))))) % 1.20/1.42 (assume @p664 (forall @t172 (=> @t713 @t711))) % 1.20/1.42 (assume @p665 (forall @t172 (=> @t713 @t550))) % 1.20/1.42 (assume @p666 (forall @t716 (=> @t709 (=> @t122 @t719)))) % 1.20/1.42 (assume @p667 (forall @t317 (=> @t713 (=> @t718 @t720)))) % 1.20/1.42 (assume @p668 (forall @t710 (=> @t709 (not (and @t707 (not @t708)))))) % 1.20/1.42 (assume @p669 (forall @t317 (=> @t713 @t721))) % 1.20/1.42 (assume @p670 (forall @t431 (=> @t598 (=> @t690 @t686)))) % 1.20/1.42 (assume @p671 (forall @t189 (=> @t200 (=> @t187 @t724)))) % 1.20/1.42 (assume @p672 (forall @t189 (=> @t200 (=> @t187 (and @t725 @t724))))) % 1.20/1.42 (assume @p673 (forall (@list @t79 @t170 @t71 @t7) (=> @t177 (= (tptp.hAPP (tptp.hAPP @t726 @t245) @t79) (tptp.hAPP @t730 (tptp.hAPP @t727 @t79)))))) % 1.20/1.42 (assume @p674 (forall @t732 (=> @t177 (= (tptp.hAPP (tptp.hAPP @t726 @t731) @t79) (tptp.hAPP @t728 (tptp.hAPP (tptp.hAPP @t224 @t88) @t79)))))) % 1.20/1.42 (assume @p675 (forall @t72 (=> @t177 (= (tptp.hAPP @t728 @t437) @t71)))) % 1.20/1.42 (assume @p676 (forall (@list @t71 @t60 @t88 @t7) (=> @t177 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t733) @t71) (tptp.hAPP (tptp.hAPP @t726 @t147) @t60))))) % 1.20/1.42 (assume @p677 (forall @t735 (=> @t177 (= (tptp.hAPP @t730 @t71) @t734)))) % 1.20/1.42 (assume @p678 (forall @t735 (=> @t177 (= @t736 @t734)))) % 1.20/1.42 (assume @p679 (forall @t735 (=> @t177 (= @t734 @t736)))) % 1.20/1.42 (assume @p680 (forall @t72 (=> @t177 (= (tptp.hAPP @t728 @t66) @t347)))) % 1.20/1.42 (assume @p681 (forall @t732 (=> @t177 (= (tptp.hAPP (tptp.hAPP @t190 @t731) @t729) (tptp.hAPP @t728 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t88 @t79)))))) % 1.20/1.42 (assume @p682 (forall @t75 (=> @t94 (= (= (tptp.hAPP (tptp.hAPP @t737 @t46) @t700) (tptp.hAPP (tptp.hAPP @t737 @t73) @t700)) (or @t74 (= @t46 @t497)))))) % 1.20/1.42 (assume @p683 (forall @t376 (=> @t177 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 @t733) (tptp.hAPP @t345 @t60))))) % 1.20/1.42 (assume @p684 (forall (@list @t71 @t60 @t12 @t7) (=> @t177 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t76) @t71) (tptp.hAPP @t202 @t738))))) % 1.20/1.42 (assume @p685 (forall (@list @t60 @t119 @t7) (=> @t354 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t119) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t119 @t347) (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.hAPP (tptp.hAPP @t726 @t119) @t77) @t119)))))) % 1.20/1.42 (assume @p686 (forall @t78 (=> @t177 (= (tptp.c_Polynomial_Odegree @t7 @t739) @t60)))) % 1.20/1.42 (assume @p687 (forall @t78 (=> @t177 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t739) @t60) @t347)))) % 1.20/1.42 (assume @p688 (forall @t113 (=> @t200 @t725))) % 1.20/1.42 (assume @p689 (forall @t701 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t71 @t66))) % 1.20/1.42 (assume @p690 (forall @t701 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t437 @t71))) % 1.20/1.42 (assume @p691 (forall @t290 (=> @t354 (=> @t552 (=> @t454 (=> @t598 @t744)))))) % 1.20/1.42 (assume @p692 (forall @t745 (=> @t177 (=> (or @t598 (= @t71 @t347)) (tptp.c_Rings_Odvd__class_Odvd @t7 @t71 @t738))))) % 1.20/1.42 (assume @p693 (forall @t78 (=> @t354 (=> @t746 (=> @t598 (tptp.c_Orderings_Oord__class_Oless @t7 @t347 @t743)))))) % 1.20/1.42 (assume @p694 (forall @t748 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t747 @t12) @t60) (tptp.hAPP (tptp.hAPP @t747 @t121) @t60)) (=> @t448 @t708)))) % 1.20/1.42 (assume @p695 (forall @t748 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t749 @t12) @t60) (tptp.hAPP (tptp.hAPP @t749 @t121) @t60)) (=> @t448 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t12 @t121))))) % 1.20/1.42 (assume @p696 (forall @t750 (=> @t597 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t747 @t27) @t64) (tptp.hAPP (tptp.hAPP @t747 @t34) @t64)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t27 @t34))))) % 1.20/1.42 (assume @p697 (forall @t750 (=> @t597 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t749 @t27) @t64) (tptp.hAPP (tptp.hAPP @t749 @t34) @t64)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t27 @t34))))) % 1.20/1.42 (assume @p698 (forall @t754 (= @t753 (or @t751 @t247)))) % 1.20/1.42 (assume @p699 (forall @t758 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t338) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t757 @t756) @t538)))) % 1.20/1.42 (assume @p700 (forall @t317 (= (tptp.hAPP @t759 @t316) (tptp.hAPP (tptp.hAPP @t761 @t760) (tptp.hAPP @t759 @t244))))) % 1.20/1.42 (assume @p701 (forall @t317 (= (tptp.hAPP (tptp.hAPP @t749 @t760) @t244) (tptp.hAPP @t759 (tptp.hAPP (tptp.hAPP @t224 @t170) @t244))))) % 1.20/1.42 (assume @p702 (forall @t168 (= (tptp.hAPP (tptp.hAPP @t747 @t286) @t60) @t286))) % 1.20/1.42 (assume @p703 (forall (@list @t248 @t46) (= (= (tptp.hAPP @t752 @t248) @t286) (or @t249 (= @t46 @t286))))) % 1.20/1.42 (assume @p704 (forall @t762 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t286 @t338) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t286 @t756)))) % 1.20/1.42 (assume @p705 (forall @t754 (= @t753 (or @t247 @t751)))) % 1.20/1.42 (assume @p706 (forall @t758 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t757 @t756) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t437 @t338) @t361)))) % 1.20/1.42 (assume @p707 (forall @t78 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t7) (=> @t285 (not (= @t743 @t18)))))) % 1.20/1.42 (assume @p708 (forall @t78 (=> @t391 (= @t765 @t763)))) % 1.20/1.42 (assume @p709 (forall @t290 (=> @t392 (= (tptp.hAPP (tptp.hAPP @t726 @t203) @t60) (tptp.hAPP @t764 @t741))))) % 1.20/1.42 (assume @p710 (forall @t61 (=> @t391 (= (tptp.hAPP (tptp.hAPP @t726 @t347) @t60) @t347)))) % 1.20/1.42 (assume @p711 (forall (@list @t60 @t170 @t71 @t7) (=> @t177 (=> @t766 (tptp.c_Rings_Odvd__class_Odvd @t7 @t738 (tptp.hAPP @t727 @t60)))))) % 1.20/1.42 (assume @p712 (forall @t768 (=> @t391 (= (tptp.hAPP @t742 @t226) (tptp.hAPP (tptp.hAPP @t726 @t767) @t60))))) % 1.20/1.42 (assume @p713 (forall @t78 (=> @t567 @t769))) % 1.20/1.42 (assume @p714 (forall @t67 (=> @t391 (= (tptp.hAPP @t742 @t437) @t12)))) % 1.20/1.42 (assume @p715 (forall @t78 (=> @t354 (=> @t454 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t18 @t743))))) % 1.20/1.42 (assume @p716 (forall @t290 (=> @t354 (=> @t374 (=> @t454 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t743 @t741)))))) % 1.20/1.42 (assume @p717 (forall @t78 (=> @t354 (=> @t639 (tptp.c_Orderings_Oord__class_Oless @t7 @t18 @t743))))) % 1.20/1.42 (assume @p718 (forall @t78 (=> @t354 (=> @t770 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t347 @t743))))) % 1.20/1.42 (assume @p719 (forall @t69 (=> (and @t773 (tptp.class_Rings_Omult__zero @t21) (tptp.class_Rings_Ono__zero__divisors @t21) (tptp.class_Rings_Ozero__neq__one @t21)) (= (= @t772 @t26) (and @t28 @t597))))) % 1.20/1.42 (assume @p720 (forall (@list @t64 @t248 @t27 @t21) (=> @t774 (=> (tptp.c_Orderings_Oord__class_Oless @t21 @t350 @t27) (= (= (tptp.hAPP @t771 @t248) @t772) @t257))))) % 1.20/1.42 (assume @p721 (forall @t61 (=> @t777 (= (tptp.hAPP @t775 @t77) @t18)))) % 1.20/1.42 (assume @p722 (forall @t78 (=> @t391 (= @t778 @t765)))) % 1.20/1.42 (assume @p723 (forall @t78 (=> @t776 (= @t778 @t763)))) % 1.20/1.42 (assume @p724 (forall @t67 (=> @t776 (= (tptp.hAPP @t742 @t66) @t347)))) % 1.20/1.42 (assume @p725 (forall @t768 (=> @t391 (= (tptp.hAPP @t742 @t201) (tptp.hAPP (tptp.hAPP @t190 @t767) @t743))))) % 1.20/1.42 (assume @p726 (forall @t78 (=> @t572 (=> @t285 @t769)))) % 1.20/1.42 (assume @p727 (forall (@list @t82 @t121 @t60 @t12 @t7) (=> @t177 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t743 @t121) (=> @t361 (tptp.c_Rings_Odvd__class_Odvd @t7 @t767 @t121)))))) % 1.20/1.42 (assume @p728 (forall (@list @t82 @t60 @t170 @t71 @t7) (=> @t177 (=> @t766 (=> @t360 (tptp.c_Rings_Odvd__class_Odvd @t7 @t738 (tptp.hAPP @t727 @t82))))))) % 1.20/1.42 (assume @p729 (forall @t87 (=> @t177 (=> @t361 (tptp.c_Rings_Odvd__class_Odvd @t7 @t767 @t743))))) % 1.20/1.42 (assume @p730 (forall @t149 (=> @t354 (=> @t744 (=> @t451 @t552))))) % 1.20/1.42 (assume @p731 (forall @t149 (=> @t354 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t778 @t779) (=> @t451 @t374))))) % 1.20/1.42 (assume @p732 (forall @t149 (=> @t354 (=> (= @t778 @t779) (=> @t454 (=> @t451 @t277)))))) % 1.20/1.42 (assume @p733 (forall @t78 (=> @t354 (=> @t746 (tptp.c_Orderings_Oord__class_Oless @t7 @t347 @t763))))) % 1.20/1.42 (assume @p734 (forall @t78 (=> @t354 (=> @t746 (tptp.c_Orderings_Oord__class_Oless @t7 @t743 @t763))))) % 1.20/1.42 (assume @p735 (forall @t61 (=> @t777 (and (=> @t252 (= @t780 @t347)) (=> @t448 (= @t780 @t18)))))) % 1.20/1.42 (assume @p736 (forall @t78 (=> @t354 (=> @t746 (tptp.c_Orderings_Oord__class_Oless @t7 @t347 @t778))))) % 1.20/1.42 (assume @p737 (forall @t78 (=> @t781 (= (tptp.hAPP (tptp.hAPP @t726 @t357) @t60) (tptp.hAPP (tptp.hAPP @t190 (tptp.hAPP (tptp.hAPP @t726 @t352) @t60)) @t743))))) % 1.20/1.42 (assume @p738 (forall @t786 (=> @t774 (=> @t785 (= (tptp.c_Orderings_Oord__class_Oless @t21 @t784 @t783) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t46 @t73)))))) % 1.20/1.42 (assume @p739 (forall @t768 (=> @t354 (=> @t746 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t767 @t743) @t538))))) % 1.20/1.42 (assume @p740 (forall @t790 (=> @t354 (=> @t789 (=> @t746 (tptp.c_Orderings_Oord__class_Oless @t7 @t743 @t788)))))) % 1.20/1.42 (assume @p741 (forall @t790 (=> @t354 (=> @t791 (=> @t770 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t743 @t788)))))) % 1.20/1.42 (assume @p742 (forall @t78 (=> @t354 (=> @t639 (=> @t683 (tptp.c_Orderings_Oord__class_Oless @t7 @t763 @t743)))))) % 1.20/1.42 (assume @p743 (forall @t78 (=> @t354 (=> @t639 (=> @t683 (tptp.c_Orderings_Oord__class_Oless @t7 @t778 @t347)))))) % 1.20/1.42 (assume @p744 (forall @t790 (=> @t354 (=> @t789 (=> @t639 (=> @t683 (tptp.c_Orderings_Oord__class_Oless @t7 @t788 @t743))))))) % 1.20/1.42 (assume @p745 (forall @t149 (=> @t354 (=> (= @t743 @t741) (=> @t454 (=> @t451 (=> @t598 @t277))))))) % 1.20/1.42 (assume @p746 (forall @t790 (=> @t354 (=> @t791 (=> @t454 (=> @t681 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t788 @t743))))))) % 1.20/1.42 (assume @p747 (forall @t786 (=> @t774 (=> @t785 (= (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t784 @t783) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t46 @t73)))))) % 1.20/1.42 (assume @p748 (forall @t768 (=> @t354 (=> @t746 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t767 @t743) @t361))))) % 1.20/1.42 (assume @p749 (forall @t70 (=> @t773 (= @t737 (tptp.c_Power_Opower_Opower @t21 @t350 @t232))))) % 1.20/1.42 (assume @p750 (forall (@list @t792 @t32 @t73 @t46 @t21) (=> @t511 (= (tptp.c_Polynomial_Opdivmod__rel @t21 @t46 @t73 @t32 @t792) (and (= @t46 (tptp.c_Groups_Oplus__class_Oplus @t22 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes @t22) @t32) @t73) @t792)) (=> @t509 @t672) (=> (not @t509) (or @t793 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t21 @t792) (tptp.c_Polynomial_Odegree @t21 @t73))))))))) % 1.20/1.42 (assume @p751 (forall @t114 (=> @t645 (= @t794 (tptp.c_Orderings_Oord__class_Oless @t21 @t26 @t293))))) % 1.20/1.42 (assume @p752 (forall @t251 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t248) (= (= (tptp.hAPP (tptp.hAPP @t761 @t248) @t64) @t795) (and (= @t248 @t795) (= @t64 @t795)))))) % 1.20/1.42 (assume @p753 (forall @t799 (= @t798 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t241) @t797)))) % 1.20/1.42 (assume @p754 (forall @t799 (= @t798 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t241 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t797))))) % 1.20/1.42 (assume @p755 (forall @t227 (=> @t802 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t60) (=> @t801 (=> @t800 @t85)))))) % 1.20/1.42 (assume @p756 (forall (@list @t60 @t244) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t244 @t60) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t60) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t244 @t60))))) % 1.20/1.42 (assume @p757 (forall (@list @t248 @t64 @t255) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t255 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t64 @t804)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t255 @t64)))) % 1.20/1.42 (assume @p758 (forall (@list @t131 @t797 @t46 @t241 @t27) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t27 @t241) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t27 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t46 @t797)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t27 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t46 (tptp.hAPP (tptp.hAPP @t761 @t131) @t241)) @t797)))))) % 1.20/1.42 (assume @p759 (forall @t322 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t805 @t82) (tptp.hAPP @t805 @t60)) (=> (not (= @t318 @t796)) @t801)))) % 1.20/1.42 (assume @p760 (forall @t363 (=> @t806 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t318) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t805 @t338) (tptp.hAPP @t805 @t337)))))) % 1.20/1.42 (assume @p761 (forall (@list @t797 @t248 @t255) (=> (not @t807) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t248 @t797) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t804 (tptp.hAPP @t803 @t797)))))) % 1.20/1.42 (assume @p762 (forall @t227 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t82) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t82 @t60) (not @t800))))) % 1.20/1.42 (assume @p763 (forall @t812 (= (tptp.hAPP (tptp.hAPP @t761 @t811) @t808) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t810)))) % 1.20/1.42 (assume @p764 (forall @t821 (=> @t504 (=> @t820 (=> @t819 (and @t818 @t815)))))) % 1.20/1.42 (assume @p765 (forall @t821 (=> @t504 (=> @t820 (=> @t819 @t815))))) % 1.20/1.42 (assume @p766 (forall @t821 (=> @t504 (=> @t820 (=> @t819 @t818))))) % 1.20/1.42 (assume @p767 (forall @t812 (= @t810 (tptp.hAPP @t822 @t244)))) % 1.20/1.42 (assume @p768 (forall @t828 (= (tptp.hAPP (tptp.hAPP @t761 (tptp.hAPP @t827 @t824)) @t823) (tptp.hAPP @t827 (tptp.hAPP @t825 @t823))))) % 1.20/1.42 (assume @p769 (forall (@list @t808 @t824 @t826) (= (tptp.hAPP (tptp.hAPP @t761 @t829) @t808) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t827 @t808) (tptp.hAPP @t825 @t808))))) % 1.20/1.42 (assume @p770 (forall (@list @t824 @t826 @t808) (= (tptp.hAPP @t822 @t829) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t822 @t826) (tptp.hAPP @t822 @t824))))) % 1.20/1.42 (assume @p771 (forall @t830 (= (tptp.hAPP (tptp.hAPP @t761 @t795) @t244) @t244))) % 1.20/1.42 (assume @p772 (forall @t830 (= (tptp.hAPP @t809 @t795) @t244))) % 1.20/1.42 (assume @p773 (forall (@list @t12 @t119 @t79 @t170 @t71 @t7) (=> @t504 (=> @t832 (tptp.c_Polynomial_Opdivmod__rel @t7 @t831 @t170 @t161 (tptp.c_Polynomial_Osmult @t7 @t12 @t119)))))) % 1.20/1.42 (assume @p774 (forall (@list @t792 @t32 @t73 @t21) (=> @t511 (= (tptp.c_Polynomial_Opdivmod__rel @t21 @t23 @t73 @t32 @t792) (and @t672 @t793))))) % 1.20/1.42 (assume @p775 (forall (@list @t792 @t32 @t46 @t21) (=> @t511 (= (tptp.c_Polynomial_Opdivmod__rel @t21 @t46 @t23 @t32 @t792) (and @t672 (= @t792 @t46)))))) % 1.20/1.42 (assume @p776 (forall @t312 (=> @t504 (tptp.c_Polynomial_Opdivmod__rel @t7 @t9 @t170 @t9 @t9)))) % 1.20/1.42 (assume @p777 (forall @t72 (=> @t504 (tptp.c_Polynomial_Opdivmod__rel @t7 @t71 @t9 @t9 @t71)))) % 1.20/1.42 (assume @p778 (forall @t20 (=> @t381 (not (tptp.c_Polynomial_Opos__poly @t7 @t9))))) % 1.20/1.42 (assume @p779 (forall @t197 (=> @t381 (=> @t834 (=> @t833 (tptp.c_Polynomial_Opos__poly @t7 @t141)))))) % 1.20/1.42 (assume @p780 (forall @t197 (=> @t381 (=> @t834 (=> @t833 (tptp.c_Polynomial_Opos__poly @t7 @t181)))))) % 1.20/1.42 (assume @p781 (forall (@list @t27 @t836 @t835 @t21) (= (tptp.hAPP @t837 @t66) @t835))) % 1.20/1.42 (assume @p782 (forall (@list @t64 @t27 @t836 @t835 @t21) (= (tptp.hAPP @t837 @t411) (tptp.hAPP (tptp.hAPP @t836 @t27) (tptp.hAPP @t837 @t64))))) % 1.20/1.42 (assume @p783 (forall (@list @t838 @t840 @t244 @t119 @t79 @t170 @t71 @t7) (=> @t504 (=> @t832 (=> (tptp.c_Polynomial_Opdivmod__rel @t7 @t79 @t244 @t840 @t838) (tptp.c_Polynomial_Opdivmod__rel @t7 @t71 (tptp.hAPP @t839 @t244) @t840 (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t839 @t838) @t119))))))) % 1.20/1.42 (assume @p784 (forall @t95 (=> @t381 (or @t89 @t834 (tptp.c_Polynomial_Opos__poly @t7 @t355))))) % 1.20/1.42 (assume @p785 (forall (@list @t119 @t79 @t170 @t71 @t12 @t7) (=> @t504 (=> @t285 (=> @t832 (tptp.c_Polynomial_Opdivmod__rel @t7 @t71 @t841 (tptp.c_Polynomial_Osmult @t7 @t570 @t79) @t119)))))) % 1.20/1.42 (assume @p786 (forall @t31 (=> @t645 (= (tptp.c_Polynomial_Opos__poly @t21 @t29) (or @t794 (and @t25 @t650)))))) % 1.20/1.42 (assume @p787 (forall @t846 (=> @t19 (=> (forall @t845 (=> @t844 @t843)) @t483)))) % 1.20/1.42 (assume @p788 (forall (@list @t64 @t57) (=> (not (tptp.hBOOL (tptp.hAPP @t57 @t66))) (=> @t847 (exists @t430 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t428 @t64) (forall @t845 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t842 @t428) (not (tptp.hBOOL (tptp.hAPP @t57 @t842))))) (tptp.hBOOL (tptp.hAPP @t57 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t428 @t437))))))))) % 1.20/1.42 (assume @p789 (forall @t830 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t848 @t244) @t796)))) % 1.20/1.42 (assume @p790 (not (= @t796 @t795))) % 1.20/1.42 (assume @p791 (forall @t830 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t796 @t244) @t244))) % 1.20/1.42 (assume @p792 (forall @t830 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t244 @t796) @t244))) % 1.20/1.42 (assume @p793 (forall @t812 (= @t850 @t849))) % 1.20/1.42 (assume @p794 (forall @t317 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t71 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t170 @t244)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t170 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t71 @t244))))) % 1.20/1.42 (assume @p795 (forall @t828 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t829 @t823) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t826 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t824 @t823))))) % 1.20/1.42 (assume @p796 (forall @t812 (=> @t852 (=> @t851 (= @t244 @t808))))) % 1.20/1.42 (assume @p797 (forall @t363 (=> @t853 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t337 @t318) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t338 @t318))))) % 1.20/1.42 (assume @p798 (forall @t812 (or @t852 @t851))) % 1.20/1.42 (assume @p799 (forall @t830 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t811) @t244))) % 1.20/1.42 (assume @p800 (forall (@list @t808) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t808 @t808))) % 1.20/1.42 (assume @p801 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t796) @t796)) % 1.20/1.42 (assume @p802 (forall @t363 (=> @t853 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t318 @t338) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t318 @t337))))) % 1.20/1.42 (assume @p803 (forall @t812 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t850) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t811 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t808))))) % 1.20/1.42 (assume @p804 (forall @t830 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t811 @t244) @t796))) % 1.20/1.42 (assume @p805 (forall @t172 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t71 @t170) @t171 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t170 @t71)))) % 1.20/1.42 (assume @p806 (forall @t363 (=> @t806 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t338 @t318) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t337 @t318))))) % 1.20/1.42 (assume @p807 (forall (@list @t231 @t38) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t38 @t231) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t38 @t231) (not (= @t38 @t231)))))) % 1.20/1.42 (assume @p808 (forall @t854 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t795 @t38) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t38)))) % 1.20/1.42 (assume @p809 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t795)) % 1.20/1.42 (assume @p810 (forall (@list @t244 @t855 @t808 @t856) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t856 @t808) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t855 @t244) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t856 @t855) @t849))))) % 1.20/1.42 (assume @p811 (forall (@list @t244 @t808) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t808 @t244) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t808 @t795) @t244)))) % 1.20/1.42 (assume @p812 (forall @t858 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t231 @t795) @t38) @t857))) % 1.20/1.42 (assume @p813 (forall @t858 (= @t859 (or @t857 (= @t231 @t38))))) % 1.20/1.42 (assume @p814 (forall @t858 (= @t859 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t231 @t38)))) % 1.20/1.42 (assume @p815 (forall @t830 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t244) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t848)))) % 1.20/1.42 (assume @p816 (forall @t854 (= (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 @t795 @t38) @t38) @t796) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t38 @t796)))) % 1.20/1.42 (assume @p817 (forall @t863 (=> @t862 (=> @t861 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t119 @t12) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t795 @t79)))))) % 1.20/1.42 (assume @p818 (forall @t863 (=> @t862 (=> @t861 (=> @t864 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t79 @t795)))))) % 1.20/1.42 (assume @p819 (forall @t869 (=> @t868 (=> @t866 (=> @t865 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t840)))))) % 1.20/1.42 (assume @p820 (forall @t869 (=> @t871 (=> @t870 (=> @t865 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t840 @t796)))))) % 1.20/1.42 (assume @p821 (forall @t877 (=> @t876 (=> @t870 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t838 @t121) (=> @t873 @t872)))))) % 1.20/1.42 (assume @p822 (forall @t881 (=> @t880 (=> @t868 (=> @t866 (=> @t864 (=> @t865 (=> @t879 @t878)))))))) % 1.20/1.42 (assume @p823 (forall @t877 (=> @t876 (=> @t883 (=> @t882 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t121 @t838) @t878)))))) % 1.20/1.42 (assume @p824 (forall @t881 (=> @t880 (=> @t871 (=> @t873 (=> @t870 (=> @t865 (=> @t879 @t872)))))))) % 1.20/1.42 (assume @p825 (forall (@list @t60 @t71) (=> @t884 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 (tptp.hAPP @t759 @t60))))) % 1.20/1.42 (assume @p826 (forall @t172 (=> @t884 (=> @t885 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 (tptp.hAPP (tptp.hAPP @t761 @t71) @t170)))))) % 1.20/1.42 (assume @p827 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t796)) % 1.20/1.42 (assume @p828 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t795)) % 1.20/1.42 (assume @p829 (forall @t172 (=> @t884 (=> @t885 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t71 @t170)))))) % 1.20/1.42 (assume @p830 (forall (@list @t255 @t57 @t241) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t241) (=> (forall @t6 (=> @t698 (tptp.hBOOL (tptp.hAPP @t57 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t241))))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t255) (forall @t6 (=> @t698 (tptp.hBOOL (tptp.hAPP @t57 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 (tptp.hAPP @t803 @t241))))))))))) % 1.20/1.42 (assume @p831 (forall @t527 (=> @t504 (and (=> @t501 (= @t499 @t536)) @t888)))) % 1.20/1.42 (assume @p832 (forall @t889 (=> @t504 (=> @t285 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t71 @t841) @t886))))) % 1.20/1.42 (assume @p833 (forall @t382 (=> @t504 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t535 @t890) (= @t886 @t71))))) % 1.20/1.42 (assume @p834 (forall @t382 (=> @t504 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t71 @t505) @t886)))) % 1.20/1.42 (assume @p835 (forall @t382 (=> @t504 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t506 @t170) (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t886))))) % 1.20/1.42 (assume @p836 (forall @t527 (=> @t504 @t888))) % 1.20/1.42 (assume @p837 (forall @t889 (=> @t504 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t831 @t170) (tptp.c_Polynomial_Osmult @t7 @t12 @t886))))) % 1.20/1.42 (assume @p838 (forall (@list @t119 @t79 @t170 @t71 @t7) (=> @t504 (=> @t832 (= @t886 @t119))))) % 1.20/1.42 (assume @p839 (forall @t895 (=> @t894 (=> @t893 (=> @t892 @t891))))) % 1.20/1.42 (assume @p840 (forall @t895 (=> @t894 (=> @t891 (=> @t892 @t893))))) % 1.20/1.42 (assume @p841 (forall @t476 (=> @t894 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t81 @t121) (= (tptp.c_Divides_Odiv__class_Omod @t7 @t897 @t81) @t896))))) % 1.20/1.42 (assume @p842 (forall (@list @t248 @t64 @t255 @t21) (=> @t898 (=> (tptp.c_Rings_Odvd__class_Odvd @t21 @t255 @t64) (= (tptp.c_Rings_Odvd__class_Odvd @t21 @t255 (tptp.c_Divides_Odiv__class_Omod @t21 @t248 @t64)) (tptp.c_Rings_Odvd__class_Odvd @t21 @t255 @t248)))))) % 1.20/1.42 (assume @p843 (forall @t130 (=> @t894 (= @t900 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.hAPP @t202 @t899) @t81))))) % 1.20/1.42 (assume @p844 (forall @t130 (=> @t894 (= @t900 @t902)))) % 1.20/1.42 (assume @p845 (forall @t130 (=> @t894 (= @t900 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.hAPP @t901 @t899) @t81))))) % 1.20/1.42 (assume @p846 (forall @t406 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t464 @t463) (tptp.hAPP @t462 @t897))))) % 1.20/1.42 (assume @p847 (forall @t405 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t237 @t205) (tptp.hAPP (tptp.hAPP @t190 @t897) @t81))))) % 1.20/1.42 (assume @p848 (forall @t405 (=> @t894 (= @t902 @t900)))) % 1.20/1.42 (assume @p849 (forall @t905 (=> @t894 (=> @t904 (=> @t903 (= @t900 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.hAPP @t306 @t310) @t81))))))) % 1.20/1.42 (assume @p850 (forall @t223 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t897 @t121) @t897)))) % 1.20/1.42 (assume @p851 (forall (@list @t305 @t121 @t12 @t7) (=> @t907 (=> (= @t897 (tptp.c_Divides_Odiv__class_Omod @t7 @t305 @t121)) (= @t906 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t305) @t121)))))) % 1.20/1.42 (assume @p852 (forall @t223 (=> @t907 (= @t906 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t897) @t121))))) % 1.20/1.42 (assume @p853 (forall @t67 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t18 @t12) @t18)))) % 1.20/1.42 (assume @p854 (forall @t67 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t12 @t18) @t12)))) % 1.20/1.42 (assume @p855 (forall @t67 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t12 @t12) @t18)))) % 1.20/1.42 (assume @p856 (forall @t223 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t128 @t121) @t897)))) % 1.20/1.42 (assume @p857 (forall @t553 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t124 @t121) @t897)))) % 1.20/1.42 (assume @p858 (forall @t130 (=> @t894 (= @t909 @t908)))) % 1.20/1.42 (assume @p859 (forall @t130 (=> @t894 (= @t909 @t910)))) % 1.20/1.42 (assume @p860 (forall @t130 (=> @t894 (= @t909 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t896 @t899) @t81))))) % 1.20/1.42 (assume @p861 (forall @t130 (=> @t894 (= @t908 @t909)))) % 1.20/1.42 (assume @p862 (forall @t405 (=> @t894 (= @t910 @t909)))) % 1.20/1.42 (assume @p863 (forall @t905 (=> @t894 (=> @t904 (=> @t903 (= @t909 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t305 @t310) @t81))))))) % 1.20/1.42 (assume @p864 (forall @t67 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t12 @t347) @t18)))) % 1.20/1.42 (assume @p865 (forall @t223 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t203 @t121) @t18)))) % 1.20/1.42 (assume @p866 (forall @t553 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t222 @t121) @t18)))) % 1.20/1.42 (assume @p867 (forall @t405 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t463) @t121) @t897)))) % 1.20/1.42 (assume @p868 (forall @t130 (=> @t894 (= (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t205) @t121) @t897)))) % 1.20/1.42 (assume @p869 (forall @t223 (=> @t894 (=> @t564 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t121 @t12) @t18))))) % 1.20/1.42 (assume @p870 (forall @t335 (=> @t898 (= @t615 (= (tptp.c_Divides_Odiv__class_Omod @t21 @t34 @t27) @t26))))) % 1.20/1.42 (assume @p871 (forall @t527 (=> @t504 (=> @t887 (or (= @t886 @t9) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 @t886) @t890)))))) % 1.20/1.42 (assume @p872 (forall @t382 (=> (tptp.class_Fields_Olinordered__field__inverse__zero @t7) (=> (forall (@list @t911) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t18 @t911) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t911 @t347) (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.hAPP (tptp.hAPP @t190 @t911) @t71) @t170)))) @t494)))) % 1.20/1.42 (assume @p873 (forall @t846 (=> @t19 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t60 @t184) (exists @t845 (and @t844 (not @t843))))))) % 1.20/1.42 (assume @p874 (forall (@list @t170 @t82 @t71) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t749 @t912) @t170) @t82) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t760 @t82)))) % 1.20/1.42 (assume @p875 (forall @t322 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t318 @t913) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t318 @t60) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t318 @t82))))) % 1.20/1.42 (assume @p876 (forall (@list @t60 @t82 @t914) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t914 @t82) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t914 @t60) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t914 @t913))))) % 1.20/1.42 (assume @p877 (forall @t322 (= (tptp.hAPP @t319 @t915) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t321 @t320)))) % 1.20/1.42 (assume @p878 (forall @t324 (= (tptp.hAPP (tptp.hAPP @t224 @t915) @t318) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t326 @t325)))) % 1.20/1.42 (assume @p879 (forall @t716 (= @t917 @t916))) % 1.20/1.42 (assume @p880 (forall @t716 (= @t916 @t917))) % 1.20/1.42 (assume @p881 (forall @t227 (= @t919 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t918 @t60)))) % 1.20/1.42 (assume @p882 (forall @t227 @t920)) % 1.20/1.42 (assume @p883 (forall @t924 (=> @t923 @t922))) % 1.20/1.42 (assume @p884 (forall @t924 (=> @t926 @t925))) % 1.20/1.42 (assume @p885 (forall @t431 (=> @t598 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t915 @t60)))) % 1.20/1.42 (assume @p886 (forall (@list @t82 @t71) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t912) @t82) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t71) @t82)))) % 1.20/1.42 (assume @p887 (forall @t710 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t928 @t927) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t921)))) % 1.20/1.42 (assume @p888 (forall @t710 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t12 @t927) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t928 @t121))))) % 1.20/1.42 (assume @p889 (forall @t227 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t915 @t82))) % 1.20/1.42 (assume @p890 (forall @t172 (=> @t884 (=> @t885 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t71 @t170)))))) % 1.20/1.42 (assume @p891 (forall (@list @t318 @t82) (=> @t802 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t82 @t318) @t82)))) % 1.20/1.42 (assume @p892 (forall @t931 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t318) @t419) @t796)) @t930))) % 1.20/1.42 (assume @p893 (forall @t931 (=> (not (= @t932 @t796)) @t930))) % 1.20/1.42 (assume @p894 (forall (@list @t121) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t796 @t121) @t796))) % 1.20/1.42 (assume @p895 (forall (@list @t12) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t12 @t12) @t796))) % 1.20/1.42 (assume @p896 (forall @t116 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t82 @t286) @t66))) % 1.20/1.42 (assume @p897 (forall @t227 (and (=> @t933 (= @t919 @t66)) (=> (not @t933) (= @t919 @t918))))) % 1.20/1.42 (assume @p898 (forall @t936 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t248 @t241) @t66) (exists @t935 (= @t248 (tptp.hAPP (tptp.hAPP @t224 @t241) @t934)))))) % 1.20/1.42 (assume @p899 (forall @t938 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t937 @t60) @t915))) % 1.20/1.42 (assume @p900 (forall @t936 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t248 @t241) @t796) (exists @t935 (= @t248 (tptp.hAPP (tptp.hAPP @t761 @t241) @t934)))))) % 1.20/1.42 (assume @p901 (forall @t431 (=> @t598 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t915 @t60)))) % 1.20/1.42 (assume @p902 (forall @t938 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t937) @t60) @t919))) % 1.20/1.42 (assume @p903 (forall @t710 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t12 @t796) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t121 @t12) @t939)))) % 1.20/1.42 (assume @p904 (forall @t924 (=> @t923 (and @t940 @t922)))) % 1.20/1.42 (assume @p905 (forall @t924 (=> @t923 @t940))) % 1.20/1.42 (assume @p906 (forall @t710 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t12) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t12 @t121) @t939)))) % 1.20/1.42 (assume @p907 (forall @t924 (=> @t926 (and @t941 @t925)))) % 1.20/1.42 (assume @p908 (forall @t924 (=> @t926 @t941))) % 1.20/1.42 (assume @p909 (forall @t943 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 @t81) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119 @t121) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t942 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t79 @t81)) @t119) (tptp.hAPP @t942 @t81)))))) % 1.20/1.42 (assume @p910 (forall @t946 (= (tptp.hBOOL (tptp.hAPP @t57 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t64 @t255))) (and (=> @t256 @t847) (=> (not @t256) (forall @t945 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t654 @t255) (=> (= @t64 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t259 @t842) @t654)) @t944)))))))) % 1.20/1.42 (assume @p911 (forall (@list @t82 @t318) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t437 @t318) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t321) @t318) @t437)))) % 1.20/1.42 (assume @p912 (forall @t710 (=> @t862 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t947 @t796) (= @t921 @t947))))) % 1.20/1.42 (assume @p913 (forall @t946 (= (tptp.hBOOL (tptp.hAPP @t57 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t64 @t255))) (and (=> @t807 @t847) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t796 @t255) (forall @t945 (=> (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t654) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t654 @t255) @t948) @t944))) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t255 @t796) (forall @t945 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t255 @t654) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t654 @t796) @t948) @t944))))))) % 1.20/1.42 (assume @p914 (forall @t943 (=> @t950 (=> @t864 (=> @t873 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t796 @t949)))))) % 1.20/1.42 (assume @p915 (forall @t943 (=> @t950 (=> @t864 (=> @t873 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t949 @t951)))))) % 1.20/1.42 (assume @p916 (forall @t952 (=> @t950 (=> @t882 (=> @t883 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t951 @t949)))))) % 1.20/1.42 (assume @p917 (forall @t952 (=> @t950 (=> @t882 (=> @t883 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t949 @t796)))))) % 1.20/1.42 (assume @p918 (forall (@list @t170 @t956 @t953 @t954) (=> (= @t954 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t761 @t953) @t956) @t170)) (=> (and (=> @t955 (and @t885 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t170 @t953))) (=> (not @t955) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t953 @t170) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t170 @t796)))) (=> (not (= @t953 @t796)) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t954 @t953) @t170)))))) % 1.20/1.42 (assume @p919 (forall (@list @t318 @t419) (and (=> @t958 (= @t957 @t929)) (=> (not @t958) (= @t957 @t932))))) % 1.20/1.42 (assume @p920 (forall @t745 (=> @t391 (=> @t598 (= (tptp.hAPP (tptp.hAPP @t190 (tptp.hAPP @t728 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t60 @t437))) @t71) @t738))))) % 1.20/1.42 (assume @p921 (forall @t905 (=> @t907 (=> @t904 (=> @t903 (= @t959 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t305 @t310) @t81))))))) % 1.20/1.42 (assume @p922 (forall @t130 (=> @t907 (= @t959 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t896 @t899) @t81))))) % 1.20/1.42 (assume @p923 (forall @t130 (=> @t907 (= @t959 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t896 @t121) @t81))))) % 1.20/1.42 (assume @p924 (forall @t130 (=> @t907 (= @t959 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t899) @t81))))) % 1.20/1.42 (assume @p925 (forall @t227 @t962)) % 1.20/1.42 (assume @p926 (forall @t227 (and @t920 @t962))) % 1.20/1.42 (assume @p927 (forall @t431 (=> @t360 @t961))) % 1.20/1.42 (assume @p928 (forall @t969 (=> @t968 (= @t967 (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t131 @t964))))) % 1.20/1.42 (assume @p929 (forall @t969 (=> @t968 (= @t967 (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t971 @t241))))) % 1.20/1.42 (assume @p930 (forall @t969 (=> @t968 (= @t972 (tptp.c_Orderings_Oord__class_Oless @t21 @t971 @t241))))) % 1.20/1.42 (assume @p931 (forall @t969 (=> @t968 (= @t972 (tptp.c_Orderings_Oord__class_Oless @t21 @t131 @t964))))) % 1.20/1.42 (assume @p932 (forall @t72 (=> @t781 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t485 @t347) (tptp.hAPP (tptp.hAPP @t190 (tptp.c_Groups_Oplus__class_Oplus @t7 @t71 @t347)) (tptp.c_Groups_Ominus__class_Ominus @t7 @t71 @t347)))))) % 1.20/1.42 (assume @p933 (forall (@list @t797 @t973 @t241 @t21) (=> (and (tptp.class_Rings_Ocomm__ring @t21) @t699) (=> (tptp.c_Rings_Odvd__class_Odvd @t21 @t241 @t973) (forall (@list @t3 @t428) (= (tptp.c_Rings_Odvd__class_Odvd @t21 @t241 (tptp.c_Groups_Oplus__class_Oplus @t21 @t3 @t797)) (tptp.c_Rings_Odvd__class_Odvd @t21 @t241 (tptp.c_Groups_Oplus__class_Oplus @t21 (tptp.c_Groups_Ominus__class_Ominus @t21 @t3 (tptp.hAPP (tptp.hAPP @t232 @t428) @t973)) @t797)))))))) % 1.20/1.42 (assume @p934 (forall @t223 (=> @t572 (=> @t285 (=> @t333 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t570 @t574) (tptp.hAPP (tptp.hAPP @t190 (tptp.hAPP @t661 (tptp.c_Groups_Ominus__class_Ominus @t7 @t121 @t12))) @t574))))))) % 1.20/1.42 (assume @p935 (forall @t978 (=> @t304 (= @t977 (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t975 @t974) @t976) (tptp.hAPP @t202 @t974)))))) % 1.20/1.42 (assume @p936 (forall @t969 (=> @t980 (= @t979 (= @t131 @t964))))) % 1.20/1.42 (assume @p937 (forall @t969 (=> @t980 (= @t979 (= @t971 @t241))))) % 1.20/1.42 (assume @p938 (forall @t978 (=> @t384 (= @t977 (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t191 @t974) @t976))))) % 1.20/1.42 (assume @p939 (forall @t322 (=> @t982 (=> @t981 (=> @t360 @t689))))) % 1.20/1.42 (assume @p940 (forall @t322 (=> @t982 (=> @t689 (=> @t360 @t981))))) % 1.20/1.42 (assume @p941 (forall @t431 (=> @t598 (=> @t686 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t960 @t82))))) % 1.20/1.42 (assume @p942 (forall @t412 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t66 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t64 @t248)) @t580))) % 1.20/1.42 (assume @p943 (forall @t227 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t960 @t115))) % 1.20/1.42 (assume @p944 (forall @t431 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t60 @t313) @t66))) % 1.20/1.42 (assume @p945 (forall @t227 (=> @t361 @t983))) % 1.20/1.42 (assume @p946 (forall @t251 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t248 @t64) @t66) @t413))) % 1.20/1.42 (assume @p947 (forall @t431 (=> @t360 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t115 @t60) (tptp.c_Nat_OSuc @t960))))) % 1.20/1.42 (assume @p948 (forall @t227 (=> @t604 @t984))) % 1.20/1.42 (assume @p949 (forall @t989 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t986 @t988) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t987 @t985)))) % 1.20/1.42 (assume @p950 (forall @t263 (=> @t993 (=> @t992 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t991 @t990) @t580))))) % 1.20/1.42 (assume @p951 (forall @t716 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t121) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t81 @t12) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t12 @t81) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t121 @t81)))))) % 1.20/1.42 (assume @p952 (forall @t998 (=> @t997 (= @t996 @t995)))) % 1.20/1.42 (assume @p953 (forall @t998 (=> @t997 (= @t995 @t996)))) % 1.20/1.42 (assume @p954 (forall @t998 (=> @t997 (= @t1000 @t999)))) % 1.20/1.42 (assume @p955 (forall @t989 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t986 @t985) (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t985 @t986) @t255) (= @t985 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t255 @t986)))))) % 1.20/1.42 (assume @p956 (forall @t431 (=> @t360 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t960 @t60) @t82)))) % 1.20/1.42 (assume @p957 (forall (@list @t986 @t985 @t255) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t255 @t985) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t986 @t988) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t987 @t985))))) % 1.20/1.42 (assume @p958 (forall @t998 (=> @t997 (= @t999 @t1000)))) % 1.20/1.42 (assume @p959 (forall @t431 (=> @t360 @t984))) % 1.20/1.42 (assume @p960 (forall @t938 (=> @t415 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t82 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t318))))) % 1.20/1.42 (assume @p961 (forall (@list @t986 @t255 @t985) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t988 @t986) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t985 @t987)))) % 1.20/1.42 (assume @p962 (forall @t998 (=> @t997 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t338 @t994) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t421 @t337))))) % 1.20/1.42 (assume @p963 (forall @t227 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t201 @t60) @t82))) % 1.20/1.42 (assume @p964 (forall @t431 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t313 @t60) @t82))) % 1.20/1.42 (assume @p965 (forall @t363 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t338 @t337) @t318) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t338 @t424)))) % 1.20/1.42 (assume @p966 (forall @t322 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t82) @t611) @t960))) % 1.20/1.42 (assume @p967 (forall @t418 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t416 @t323) @t960))) % 1.20/1.42 (assume @p968 (forall @t263 (=> @t993 (=> @t992 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t991 @t990) @t413))))) % 1.20/1.42 (assume @p969 (forall @t322 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 @t82) (=> @t415 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t82 @t318) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t60 @t318)) @t960))))) % 1.20/1.42 (assume @p970 (forall @t263 (=> @t993 (=> @t992 (= (= @t991 @t990) @t257))))) % 1.20/1.42 (assume @p971 (forall @t762 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t338 @t60) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t60 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t60 @t338)) @t338)))) % 1.20/1.42 (assume @p972 (forall @t1001 (=> @t361 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t82 @t419) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t60 @t419))))) % 1.20/1.42 (assume @p973 (forall @t1001 (=> @t361 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t419 @t60) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t419 @t82))))) % 1.20/1.42 (assume @p974 (forall @t227 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t960 @t82))) % 1.20/1.42 (assume @p975 (forall @t335 (=> @t371 (= @t1002 @t35)))) % 1.20/1.42 (assume @p976 (forall @t335 (=> @t377 (= @t35 @t1002)))) % 1.20/1.42 (assume @p977 (forall @t67 (=> @t368 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t12) @t18)))) % 1.20/1.42 (assume @p978 (forall @t67 (=> @t368 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t18) @t12)))) % 1.20/1.42 (assume @p979 (forall @t227 (=> @t983 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t60 @t82) @t66) @t85)))) % 1.20/1.42 (assume @p980 (forall @t116 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t82 @t82) @t66))) % 1.20/1.42 (assume @p981 (forall @t116 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t82 @t66) @t82))) % 1.20/1.42 (assume @p982 (forall @t1005 (=> @t1004 (tptp.class_Groups_Oab__semigroup__mult @t1003)))) % 1.20/1.42 (assume @p983 (forall @t1005 (=> @t1004 (tptp.class_Groups_Oab__semigroup__add @t1003)))) % 1.20/1.42 (assume @p984 (forall @t1005 (=> @t1004 (tptp.class_Groups_Ocomm__monoid__add @t1003)))) % 1.20/1.42 (assume @p985 (forall @t1005 (=> @t1004 (tptp.class_Rings_Ocomm__semiring @t1003)))) % 1.20/1.42 (assume @p986 (forall @t1005 (=> @t1004 (tptp.class_Groups_Omonoid__add @t1003)))) % 1.20/1.42 (assume @p987 (forall @t1005 (=> @t1004 (tptp.class_Rings_Osemiring__0 @t1003)))) % 1.20/1.42 (assume @p988 (forall @t1005 (=> @t1004 (tptp.class_Rings_Omult__zero @t1003)))) % 1.20/1.42 (assume @p989 (forall @t1005 (=> @t1004 (tptp.class_Rings_Osemiring @t1003)))) % 1.20/1.42 (assume @p990 (forall @t1005 (=> @t1004 (tptp.class_Groups_Ozero @t1003)))) % 1.20/1.42 (assume @p991 (forall @t1009 (=> @t1008 (tptp.class_Groups_Ocancel__comm__monoid__add @t1007)))) % 1.20/1.42 (assume @p992 (tptp.class_Enum_Oenum tptp.tc_HOL_Obool)) % 1.20/1.42 (assume @p993 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p994 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p995 (forall @t1013 (=> (and @t1012 (tptp.class_Enum_Oenum @t1006)) (tptp.class_Enum_Oenum @t1011)))) % 1.20/1.42 (assume @p996 (forall @t1014 (=> (tptp.class_Lattices_Oboolean__algebra @t1006) (tptp.class_Lattices_Oboolean__algebra @t1011)))) % 1.20/1.42 (assume @p997 (forall @t1014 (=> (tptp.class_Orderings_Opreorder @t1006) (tptp.class_Orderings_Opreorder @t1011)))) % 1.20/1.42 (assume @p998 (forall @t1014 (=> (tptp.class_Orderings_Oorder @t1006) (tptp.class_Orderings_Oorder @t1011)))) % 1.20/1.42 (assume @p999 (forall @t1014 (=> (tptp.class_Orderings_Oord @t1006) (tptp.class_Orderings_Oord @t1011)))) % 1.20/1.42 (assume @p1000 (forall @t1014 (=> (tptp.class_Groups_Ouminus @t1006) (tptp.class_Groups_Ouminus @t1011)))) % 1.20/1.42 (assume @p1001 (forall @t1013 (=> (and @t1012 @t1015) (tptp.class_HOL_Oequal @t1011)))) % 1.20/1.42 (assume @p1002 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1003 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1004 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1005 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1006 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1007 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1008 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1009 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1010 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1011 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1012 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1013 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1014 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1015 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1016 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1017 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1018 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1019 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1020 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1021 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1022 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1023 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1024 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1025 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1026 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1027 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1028 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1029 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1030 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1031 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1032 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1033 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1034 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1035 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1036 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1037 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1038 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1039 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1040 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1041 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1042 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1043 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1044 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1045 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1046 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1047 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1048 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1049 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1050 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1051 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1052 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1053 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1054 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1055 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1056 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1057 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1058 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1059 (tptp.class_HOL_Oequal tptp.tc_Int_Oint)) % 1.20/1.42 (assume @p1060 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1061 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1062 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1063 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1064 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1065 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1066 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1067 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1068 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1069 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1070 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1071 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1072 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1073 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1074 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1075 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1076 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1077 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1078 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1079 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1080 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1081 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1082 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1083 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1084 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1085 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1086 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1087 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1088 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1089 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1090 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1091 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1092 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1093 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1094 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1095 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1096 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1097 (tptp.class_HOL_Oequal tptp.tc_Nat_Onat)) % 1.20/1.42 (assume @p1098 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.20/1.42 (assume @p1099 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.20/1.42 (assume @p1100 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.20/1.42 (assume @p1101 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.20/1.42 (assume @p1102 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.20/1.42 (assume @p1103 (tptp.class_HOL_Oequal tptp.tc_HOL_Obool)) % 1.20/1.42 (assume @p1104 (forall @t1009 (=> @t1016 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1007)))) % 1.20/1.42 (assume @p1105 (forall @t1009 (=> @t1017 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1007)))) % 1.20/1.42 (assume @p1106 (forall @t1009 (=> @t1017 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1007)))) % 1.20/1.42 (assume @p1107 (forall @t1009 (=> @t1017 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1007)))) % 1.20/1.42 (assume @p1108 (forall @t1009 (=> @t1017 (tptp.class_Rings_Olinordered__semiring__1__strict @t1007)))) % 1.20/1.42 (assume @p1109 (forall @t1009 (=> @t1017 (tptp.class_Rings_Olinordered__semiring__strict @t1007)))) % 1.20/1.42 (assume @p1110 (forall @t1009 (=> @t1017 (tptp.class_Groups_Oordered__ab__semigroup__add @t1007)))) % 1.20/1.42 (assume @p1111 (forall @t1009 (=> @t1017 (tptp.class_Groups_Oordered__comm__monoid__add @t1007)))) % 1.20/1.42 (assume @p1112 (forall @t1009 (=> @t1017 (tptp.class_Groups_Olinordered__ab__group__add @t1007)))) % 1.20/1.42 (assume @p1113 (forall @t1009 (=> @t1008 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1007)))) % 1.20/1.42 (assume @p1114 (forall @t1009 (=> @t1016 (tptp.class_Rings_Oring__1__no__zero__divisors @t1007)))) % 1.20/1.42 (assume @p1115 (forall @t1009 (=> @t1017 (tptp.class_Rings_Oordered__cancel__semiring @t1007)))) % 1.20/1.42 (assume @p1116 (forall @t1009 (=> @t1017 (tptp.class_Rings_Olinordered__ring__strict @t1007)))) % 1.20/1.42 (assume @p1117 (forall @t1009 (=> @t1016 (tptp.class_Rings_Oring__no__zero__divisors @t1007)))) % 1.20/1.42 (assume @p1118 (forall @t1009 (=> @t1017 (tptp.class_Rings_Oordered__comm__semiring @t1007)))) % 1.20/1.42 (assume @p1119 (forall @t1009 (=> @t1017 (tptp.class_Rings_Olinordered__semiring__1 @t1007)))) % 1.20/1.42 (assume @p1120 (forall @t1009 (=> @t1017 (tptp.class_Groups_Oordered__ab__group__add @t1007)))) % 1.20/1.42 (assume @p1121 (forall @t1009 (=> @t1008 (tptp.class_Groups_Ocancel__semigroup__add @t1007)))) % 1.20/1.42 (assume @p1122 (forall @t1009 (=> @t1017 (tptp.class_Rings_Olinordered__semiring @t1007)))) % 1.20/1.42 (assume @p1123 (forall @t1009 (=> @t1017 (tptp.class_Rings_Olinordered__semidom @t1007)))) % 1.20/1.42 (assume @p1124 (forall @t1009 (=> @t1018 (tptp.class_Groups_Oab__semigroup__mult @t1007)))) % 1.20/1.42 (assume @p1125 (forall @t1009 (=> @t1019 (tptp.class_Groups_Ocomm__monoid__mult @t1007)))) % 1.20/1.42 (assume @p1126 (forall @t1009 (=> @t1020 (tptp.class_Groups_Oab__semigroup__add @t1007)))) % 1.20/1.42 (assume @p1127 (forall @t1009 (=> @t1017 (tptp.class_Rings_Oordered__semiring @t1007)))) % 1.20/1.42 (assume @p1128 (forall @t1009 (=> @t1016 (tptp.class_Rings_Ono__zero__divisors @t1007)))) % 1.20/1.42 (assume @p1129 (forall @t1009 (=> @t1020 (tptp.class_Groups_Ocomm__monoid__add @t1007)))) % 1.20/1.42 (assume @p1130 (forall @t1009 (=> @t1017 (tptp.class_Rings_Olinordered__ring @t1007)))) % 1.20/1.42 (assume @p1131 (forall @t1009 (=> @t1017 (tptp.class_Rings_Olinordered__idom @t1007)))) % 1.20/1.42 (assume @p1132 (forall @t1009 (=> @t1019 (tptp.class_Rings_Ocomm__semiring__1 @t1007)))) % 1.20/1.42 (assume @p1133 (forall @t1009 (=> @t1018 (tptp.class_Rings_Ocomm__semiring__0 @t1007)))) % 1.20/1.42 (assume @p1134 (forall @t1009 (=> @t1021 (tptp.class_Divides_Osemiring__div @t1007)))) % 1.20/1.42 (assume @p1135 (forall @t1009 (=> @t1018 (tptp.class_Rings_Ocomm__semiring @t1007)))) % 1.20/1.42 (assume @p1136 (forall @t1009 (=> @t1022 (tptp.class_Groups_Oab__group__add @t1007)))) % 1.20/1.42 (assume @p1137 (forall @t1009 (=> @t1019 (tptp.class_Rings_Ozero__neq__one @t1007)))) % 1.20/1.42 (assume @p1138 (forall @t1009 (=> @t1017 (tptp.class_Rings_Oordered__ring @t1007)))) % 1.20/1.42 (assume @p1139 (forall @t1009 (=> @t1017 (tptp.class_Orderings_Opreorder @t1007)))) % 1.20/1.42 (assume @p1140 (forall @t1009 (=> @t1017 (tptp.class_Orderings_Olinorder @t1007)))) % 1.20/1.42 (assume @p1141 (forall @t1009 (=> @t1019 (tptp.class_Groups_Omonoid__mult @t1007)))) % 1.20/1.42 (assume @p1142 (forall @t1009 (=> @t1023 (tptp.class_Rings_Ocomm__ring__1 @t1007)))) % 1.20/1.42 (assume @p1143 (forall @t1009 (=> @t1020 (tptp.class_Groups_Omonoid__add @t1007)))) % 1.20/1.42 (assume @p1144 (forall @t1009 (=> @t1018 (tptp.class_Rings_Osemiring__0 @t1007)))) % 1.20/1.42 (assume @p1145 (forall @t1009 (=> @t1022 (tptp.class_Groups_Ogroup__add @t1007)))) % 1.20/1.42 (assume @p1146 (forall @t1009 (=> @t1021 (tptp.class_Divides_Oring__div @t1007)))) % 1.20/1.42 (assume @p1147 (forall @t1009 (=> @t1018 (tptp.class_Rings_Omult__zero @t1007)))) % 1.20/1.42 (assume @p1148 (forall @t1009 (=> @t1024 (tptp.class_Rings_Ocomm__ring @t1007)))) % 1.20/1.42 (assume @p1149 (forall @t1009 (=> @t1017 (tptp.class_Orderings_Oorder @t1007)))) % 1.20/1.42 (assume @p1150 (forall @t1009 (=> @t1017 (tptp.class_Int_Oring__char__0 @t1007)))) % 1.20/1.42 (assume @p1151 (forall @t1009 (=> @t1018 (tptp.class_Rings_Osemiring @t1007)))) % 1.20/1.42 (assume @p1152 (forall @t1009 (=> @t1017 (tptp.class_Orderings_Oord @t1007)))) % 1.20/1.42 (assume @p1153 (forall @t1009 (=> @t1022 (tptp.class_Groups_Ouminus @t1007)))) % 1.20/1.42 (assume @p1154 (forall @t1009 (=> @t1023 (tptp.class_Rings_Oring__1 @t1007)))) % 1.20/1.42 (assume @p1155 (forall @t1009 (=> @t1019 (tptp.class_Power_Opower @t1007)))) % 1.20/1.42 (assume @p1156 (forall @t1009 (=> @t1025 (tptp.class_Groups_Ozero @t1007)))) % 1.20/1.42 (assume @p1157 (forall @t1009 (=> @t1024 (tptp.class_Rings_Oring @t1007)))) % 1.20/1.42 (assume @p1158 (forall @t1009 (=> @t1016 (tptp.class_Rings_Oidom @t1007)))) % 1.20/1.42 (assume @p1159 (forall @t1009 (=> @t1019 (tptp.class_Groups_Oone @t1007)))) % 1.20/1.42 (assume @p1160 (forall @t1009 (=> @t1019 (tptp.class_Rings_Odvd @t1007)))) % 1.20/1.42 (assume @p1161 (forall @t1009 (=> (and @t1025 @t1015) (tptp.class_HOL_Oequal @t1007)))) % 1.20/1.42 (assume @p1162 (forall @t705 (or (not @t1026) @t74))) % 1.20/1.42 (assume @p1163 (forall @t705 (or @t541 @t1026))) % 1.20/1.42 (assume @p1164 (not (tptp.hBOOL tptp.c_fFalse))) % 1.20/1.42 (assume @p1165 (tptp.hBOOL tptp.c_fTrue)) % 1.20/1.42 (assume @p1166 @t1031) % 1.20/1.42 (assume @p1167 (= @t1033 @t1028)) % 1.20/1.42 (assume @p1168 (not (= @t1032 @t1028))) % 1.20/1.42 (assume @p1169 @t1034) % 1.20/1.42 (assume @p1170 true) % 1.20/1.42 (step @p1171 :rule symm :premises (@p1167)) % 1.20/1.42 (step @p1172 :rule symm :premises (@p1168)) % 1.20/1.42 (step @p1173 :rule bool-impl-elim :args (@t11 @t1035)) % 1.20/1.42 (step @p1174 :rule cong :premises (@p1173) :args ((forall @t16 (=> @t11 @t1035)))) % 1.20/1.42 (step @p1175 :rule eq-symm :args (@t14 @t13)) % 1.20/1.42 (step @p1176 :rule refl :args (@t11)) % 1.20/1.42 (step @p1177 :rule cong :premises (@p1176 @p1175) :args (@t15)) % 1.20/1.42 (step @p1178 :rule cong :premises (@p1177) :args (@t17)) % 1.20/1.42 (step @p1179 :rule trans :premises (@p1178 @p1174)) % 1.20/1.42 (step @p1180 :rule eq_resolve :premises (@p3 @p1179)) % 1.20/1.42 (step @p1181 :rule instantiate :premises (@p1180) :args ((@list tptp.v_h tptp.v_a tptp.t_a))) % 1.20/1.42 (step @p1182 :rule cnf_or_pos :args (@t1039)) % 1.20/1.42 (step @p1183 :rule reordering :premises (@p1182) :args ((or @t1038 @t1037 (not @t1039)))) % 1.20/1.42 (step @p1184 :rule chain_m_resolution :premises (@p1183 @p1169 @p1181) :args (@t1037 @t1040 (@list @t1034 @t1039))) % 1.20/1.42 (step @p1185 :rule aci_norm :args ((= (or @t1044 (or @t1043 @t1041)) (or @t1044 @t1043 @t1041)))) % 1.20/1.42 (step @p1186 :rule bool-impl-elim :args (@t1042 @t1041)) % 1.20/1.42 (step @p1187 :rule refl :args (@t1044)) % 1.20/1.42 (step @p1188 :rule nary_cong :premises (@p1187 @p1186) :args ((or @t1044 @t1045))) % 1.20/1.42 (step @p1189 :rule trans :premises (@p1188 @p1185)) % 1.20/1.42 (step @p1190 :rule bool-impl-elim :args (@t11 @t1045)) % 1.20/1.42 (step @p1191 :rule trans :premises (@p1190 @p1189)) % 1.20/1.42 (step @p1192 :rule cong :premises (@p1191) :args ((forall @t92 (=> @t11 @t1045)))) % 1.20/1.42 (step @p1193 :rule eq-symm :args (@t88 @t9)) % 1.20/1.42 (step @p1194 :rule eq-symm :args (@t164 @t9)) % 1.20/1.42 (step @p1195 :rule cong :premises (@p1194 @p1193) :args (@t165)) % 1.20/1.42 (step @p1196 :rule cong :premises (@p1176 @p1195) :args (@t166)) % 1.20/1.42 (step @p1197 :rule cong :premises (@p1196) :args (@t167)) % 1.20/1.42 (step @p1198 :rule trans :premises (@p1197 @p1192)) % 1.20/1.42 (step @p1199 :rule eq_resolve :premises (@p73 @p1198)) % 1.20/1.42 (step @p1200 :rule instantiate :premises (@p1199) :args ((@list tptp.v_a @t1030 tptp.v_h tptp.t_a))) % 1.20/1.42 (step @p1201 :rule bool-impl-elim :args (@t11 @t173)) % 1.20/1.42 (step @p1202 :rule cong :premises (@p1201) :args (@t174)) % 1.20/1.42 (step @p1203 :rule eq_resolve :premises (@p78 @p1202)) % 1.20/1.42 (step @p1204 :rule instantiate :premises (@p1203) :args ((@list tptp.v_h tptp.v_p tptp.v_a tptp.t_a))) % 1.20/1.42 (step @p1205 :rule cnf_or_pos :args (@t1048)) % 1.20/1.42 (step @p1206 :rule reordering :premises (@p1205) :args ((or @t1038 @t1047 (not @t1048)))) % 1.20/1.42 (step @p1207 :rule chain_m_resolution :premises (@p1206 @p1169 @p1204) :args (@t1047 @t1040 (@list @t1034 @t1048))) % 1.20/1.42 (step @p1208 :rule trans :premises (@p1171 @p1207)) % 1.20/1.42 (step @p1209 :rule cnf_or_pos :args (@t1052)) % 1.20/1.42 (step @p1210 :rule reordering :premises (@p1209) :args ((or @t1049 @t1038 @t1051 (not @t1052)))) % 1.20/1.42 (step @p1211 :rule chain_m_resolution :premises (@p1210 @p1169 @p1208 @p1200) :args (@t1049 (@list false false false) (@list @t1034 @t1050 @t1052))) % 1.20/1.42 (step @p1212 :rule refl :args (@t1029)) % 1.20/1.42 (step @p1213 :rule eq-symm :args (@t1030 @t1028)) % 1.20/1.42 (step @p1214 :rule cong :premises (@p1213 @p1212) :args (@t1031)) % 1.20/1.42 (step @p1215 :rule eq_resolve :premises (@p1166 @p1214)) % 1.20/1.42 (step @p1216 :rule implies_elim :premises (@p1215)) % 1.20/1.42 (step @p1217 :rule reordering :premises (@p1216) :args ((or @t1029 (not @t1049)))) % 1.20/1.42 (step @p1218 :rule chain_m_resolution :premises (@p1217 @p1211) :args (@t1029 @t1053 @t1054)) % 1.20/1.42 (step @p1219 :rule refl :args (@t1055)) % 1.20/1.42 (step @p1220 :rule bool-double-not-elim :args (@t1056)) % 1.20/1.42 (step @p1221 :rule refl :args (@t1058)) % 1.20/1.42 (step @p1222 :rule refl :args (@t1059)) % 1.20/1.42 (step @p1223 :rule nary_cong :premises (@p1222 @p1221 @p1220 @p1219) :args ((or @t1059 @t1058 (not @t1060) @t1055))) % 1.20/1.42 (assume-push @p1275 @t1057) % 1.20/1.42 (assume-push @p1276 @t1029) % 1.20/1.42 (assume-push @p1277 @t1061) % 1.20/1.42 (assume-push @p1278 @t1060) % 1.20/1.42 (step @p1228 :rule evaluate :args ((= false true))) % 1.20/1.42 (step @p1229 :rule symm :premises (@p1218)) % 1.20/1.42 (step @p1230 :rule trans :premises (@p1167 @p1229)) % 1.20/1.42 (step @p1231 :rule refl :args (tptp.v_a)) % 1.20/1.42 (step @p1232 :rule refl :args (tptp.t_a)) % 1.20/1.42 (step @p1233 :rule cong :premises (@p1232 @p1231 @p1230) :args (@t1062)) % 1.20/1.42 (step @p1234 :rule cong :premises (@p1232 @p1231 @p1171) :args (@t1036)) % 1.20/1.42 (step @p1235 :rule symm :premises (@p1184)) % 1.20/1.42 (step @p1236 :rule refl :args (tptp.v_h)) % 1.20/1.42 (step @p1237 :rule symm :premises (@p1234)) % 1.20/1.42 (step @p1238 :rule symm :premises (@p1233)) % 1.20/1.42 (step @p1239 :rule trans :premises (@p1238 @p1237)) % 1.20/1.42 (step @p1240 :rule cong :premises (@p1232 @p1239 @p1236) :args (@t1033)) % 1.20/1.42 (step @p1241 :rule symm :premises (@p1167)) % 1.20/1.42 (step @p1242 :rule chain_m_resolution :premises (@p1217 @p1211) :args (@t1029 @t1053 @t1054)) % 1.20/1.42 (step @p1243 :rule trans :premises (@p1242 @p1241 @p1240 @p1235 @p1234 @p1233)) % 1.20/1.42 (step @p1244 :rule symm :premises (@p1243)) % 1.20/1.42 (step @p1245 :rule trans :premises (@p1244 @p1218 @p1171)) % 1.20/1.42 (step @p1246 :rule symm :premises (@p1245)) % 1.20/1.42 (step @p1247 :rule trans :premises (@p1171 @p1246)) % 1.20/1.42 (step @p1248 :rule true_intro :premises (@p1247)) % 1.20/1.42 (step @p1249 :rule false_intro :premises (@p1172)) % 1.20/1.42 (step @p1250 :rule symm :premises (@p1249)) % 1.20/1.42 (step @p1251 :rule trans :premises (@p1250 @p1248)) % 1.20/1.42 (step @p1252 false :rule eq_resolve :premises (@p1251 @p1228)) % 1.20/1.42 (step-pop @p1279 :rule scope :premises (@p1252)) % 1.20/1.42 (step-pop @p1280 :rule scope :premises (@p1279)) % 1.20/1.42 (step-pop @p1281 :rule scope :premises (@p1280)) % 1.20/1.42 (step-pop @p1282 :rule scope :premises (@p1281)) % 1.20/1.42 (step @p1253 :rule process_scope :premises (@p1282) :args (false)) % 1.20/1.42 (assume-push @p1283 @t1029) % 1.20/1.42 (assume-push @p1284 @t1057) % 1.20/1.42 (assume-push @p1285 @t1060) % 1.20/1.42 (assume-push @p1286 @t1037) % 1.20/1.42 (step @p1229 :rule symm :premises (@p1218)) % 1.20/1.42 (step @p1230 :rule trans :premises (@p1167 @p1229)) % 1.20/1.42 (step @p1231 :rule refl :args (tptp.v_a)) % 1.20/1.42 (step @p1232 :rule refl :args (tptp.t_a)) % 1.20/1.42 (step @p1233 :rule cong :premises (@p1232 @p1231 @p1230) :args (@t1062)) % 1.20/1.42 (step @p1234 :rule cong :premises (@p1232 @p1231 @p1171) :args (@t1036)) % 1.20/1.42 (step @p1235 :rule symm :premises (@p1184)) % 1.20/1.42 (step @p1236 :rule refl :args (tptp.v_h)) % 1.20/1.42 (step @p1237 :rule symm :premises (@p1234)) % 1.20/1.42 (step @p1238 :rule symm :premises (@p1233)) % 1.20/1.42 (step @p1239 :rule trans :premises (@p1238 @p1237)) % 1.20/1.42 (step @p1240 :rule cong :premises (@p1232 @p1239 @p1236) :args (@t1033)) % 1.20/1.42 (step @p1262 :rule trans :premises (@p1218 @p1171 @p1240 @p1235 @p1234 @p1233)) % 1.20/1.42 (step @p1263 :rule and_intro :premises (@p1171 @p1218 @p1262 @p1172)) % 1.20/1.42 (step-pop @p1287 :rule scope :premises (@p1263)) % 1.20/1.42 (step-pop @p1288 :rule scope :premises (@p1287)) % 1.20/1.42 (step-pop @p1289 :rule scope :premises (@p1288)) % 1.20/1.42 (step-pop @p1290 :rule scope :premises (@p1289)) % 1.20/1.42 (step @p1264 :rule process_scope :premises (@p1290) :args (@t1063)) % 1.20/1.42 (step @p1269 :rule implies_elim :premises (@p1264)) % 1.20/1.42 (step @p1270 :rule resolution :premises (@p1269 @p1253) :args (true @t1063)) % 1.20/1.42 (step @p1271 :rule not_and :premises (@p1270)) % 1.20/1.42 (step @p1272 :rule eq_resolve :premises (@p1271 @p1223)) % 1.20/1.42 (step @p1273 :rule reordering :premises (@p1272) :args ((or @t1056 @t1059 @t1058 @t1055))) % 1.20/1.42 (step @p1274 false :rule chain_m_resolution :premises (@p1273 @p1218 @p1184 @p1172 @p1171) :args (false (@list false false true false) (@list @t1029 @t1037 @t1056 @t1057))) % 1.20/1.42 ) % 1.20/1.42 % SZS output end Proof % 1.20/1.42 % cvc5 exiting %------------------------------------------------------------------------------