%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW186+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 : n016.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 1.22s 1.42s % Output : Proof 1.22s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW186+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 : n016.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 21:38:24 EDT 2026 % 0.16/0.35 % CPUTime : % 0.44/0.72 %----Proving TF0_NAR, FOF, or CNF % 1.22/1.42 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.22/1.42 % SZS status Theorem % 1.22/1.42 % SZS output start Proof % 1.22/1.42 ( % 1.22/1.42 (declare-sort $$unsorted 0) % 1.22/1.42 (declare-const tptp.v_p $$unsorted) % 1.22/1.42 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.22/1.42 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.v_a $$unsorted) % 1.22/1.42 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.22/1.42 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.22/1.42 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Oplus (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.t_a $$unsorted) % 1.22/1.42 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.v_h $$unsorted) % 1.22/1.42 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.22/1.42 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.22/1.42 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.22/1.42 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.22/1.42 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.22/1.42 (define @t3 () (@var "B_x" $$unsorted)) % 1.22/1.42 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.22/1.42 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.22/1.42 (define @t6 () (@list @t3)) % 1.22/1.42 (define @t7 () (@var "T_a" $$unsorted)) % 1.22/1.42 (define @t8 () (tptp.tc_Polynomial_Opoly @t7)) % 1.22/1.42 (define @t9 () (tptp.c_Groups_Ozero__class_Ozero @t8)) % 1.22/1.42 (define @t10 () (@var "V_h" $$unsorted)) % 1.22/1.42 (define @t11 () (tptp.class_Rings_Ocomm__semiring__0 @t7)) % 1.22/1.42 (define @t12 () (@var "V_a" $$unsorted)) % 1.22/1.42 (define @t13 () (tptp.c_Polynomial_OpCons @t7 @t12 @t9)) % 1.22/1.42 (define @t14 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t7 @t13 @t10)) % 1.22/1.42 (define @t15 () (=> @t11 (= @t14 @t13))) % 1.22/1.42 (define @t16 () (@list @t10 @t12 @t7)) % 1.22/1.42 (define @t17 () (forall @t16 @t15)) % 1.22/1.42 (define @t18 () (@var "V_p" $$unsorted)) % 1.22/1.42 (define @t19 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t7 @t18 @t10)) % 1.22/1.42 (define @t20 () (tptp.c_Polynomial_OpCons @t7 @t12 @t18)) % 1.22/1.42 (define @t21 () (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t7 @t20 @t10) (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.c_Polynomial_Osmult @t7 @t10 @t19) (tptp.c_Polynomial_OpCons @t7 @t12 @t19)))) % 1.22/1.42 (define @t22 () (@list @t10 @t18 @t12 @t7)) % 1.22/1.42 (define @t23 () (forall @t22 (=> @t11 @t21))) % 1.22/1.42 (define @t24 () (= @t18 @t9)) % 1.22/1.42 (define @t25 () (@var "V_c" $$unsorted)) % 1.22/1.42 (define @t26 () (tptp.c_Polynomial_Osmult @t7 @t25 @t18)) % 1.22/1.42 (define @t27 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t26 @t20)) % 1.22/1.42 (define @t28 () (=> (= @t27 @t9) @t24)) % 1.22/1.42 (define @t29 () (=> @t11 @t28)) % 1.22/1.42 (define @t30 () (@list @t12 @t18 @t25 @t7)) % 1.22/1.42 (define @t31 () (forall @t30 @t29)) % 1.22/1.42 (define @t32 () (@var "V_b" $$unsorted)) % 1.22/1.42 (define @t33 () (tptp.c_Polynomial_Osmult @t7 @t32 @t18)) % 1.22/1.42 (define @t34 () (tptp.c_Polynomial_Osmult @t7 @t12 @t18)) % 1.22/1.42 (define @t35 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t32)) % 1.22/1.42 (define @t36 () (@list @t18 @t32 @t12 @t7)) % 1.22/1.42 (define @t37 () (@var "V_q" $$unsorted)) % 1.22/1.42 (define @t38 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t18 @t37)) % 1.22/1.42 (define @t39 () (tptp.c_Polynomial_OpCons @t7 @t32 @t37)) % 1.22/1.42 (define @t40 () (tptp.class_Groups_Ocomm__monoid__add @t7)) % 1.22/1.42 (define @t41 () (@list @t37 @t32 @t18 @t12 @t7)) % 1.22/1.42 (define @t42 () (tptp.c_Groups_Ozero__class_Ozero @t7)) % 1.22/1.42 (define @t43 () (@list @t18 @t7)) % 1.22/1.42 (define @t44 () (@var "T_b" $$unsorted)) % 1.22/1.42 (define @t45 () (tptp.tc_Polynomial_Opoly @t44)) % 1.22/1.42 (define @t46 () (tptp.c_Groups_Ozero__class_Ozero @t45)) % 1.22/1.42 (define @t47 () (@var "V_pa_2" $$unsorted)) % 1.22/1.42 (define @t48 () (= @t47 @t46)) % 1.22/1.42 (define @t49 () (tptp.c_Groups_Ozero__class_Ozero @t44)) % 1.22/1.42 (define @t50 () (@var "V_a_2" $$unsorted)) % 1.22/1.42 (define @t51 () (= @t50 @t49)) % 1.22/1.42 (define @t52 () (tptp.c_Polynomial_Osmult @t44 @t50 @t47)) % 1.22/1.42 (define @t53 () (tptp.class_Rings_Oidom @t44)) % 1.22/1.42 (define @t54 () (@list @t47 @t50 @t44)) % 1.22/1.42 (define @t55 () (tptp.class_Groups_Ozero @t7)) % 1.22/1.42 (define @t56 () (@list @t7)) % 1.22/1.42 (define @t57 () (and @t51 @t48)) % 1.22/1.42 (define @t58 () (tptp.c_Polynomial_OpCons @t44 @t50 @t47)) % 1.22/1.42 (define @t59 () (= (= @t58 @t46) @t57)) % 1.22/1.42 (define @t60 () (tptp.class_Groups_Ozero @t44)) % 1.22/1.42 (define @t61 () (=> @t60 @t59)) % 1.22/1.42 (define @t62 () (forall @t54 @t61)) % 1.22/1.42 (define @t63 () (tptp.c_Polynomial_Osmult @t7 @t12 @t37)) % 1.22/1.42 (define @t64 () (@list @t37 @t18 @t12 @t7)) % 1.22/1.42 (define @t65 () (@list @t37 @t7)) % 1.22/1.42 (define @t66 () (@list @t12 @t7)) % 1.22/1.42 (define @t67 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t42 @t12) @t12)) % 1.22/1.42 (define @t68 () (tptp.class_Groups_Omonoid__add @t7)) % 1.22/1.42 (define @t69 () (@var "V_x_2" $$unsorted)) % 1.22/1.42 (define @t70 () (= @t69 @t49)) % 1.22/1.42 (define @t71 () (@list @t69 @t44)) % 1.22/1.42 (define @t72 () (= @t32 @t25)) % 1.22/1.42 (define @t73 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t25 @t12)) % 1.22/1.42 (define @t74 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t32 @t12)) % 1.22/1.42 (define @t75 () (tptp.class_Groups_Ocancel__semigroup__add @t7)) % 1.22/1.42 (define @t76 () (@list @t25 @t12 @t32 @t7)) % 1.22/1.42 (define @t77 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t25)) % 1.22/1.42 (define @t78 () (=> (= @t35 @t77) @t72)) % 1.22/1.42 (define @t79 () (@list @t25 @t32 @t12 @t7)) % 1.22/1.42 (define @t80 () (@var "V_c_2" $$unsorted)) % 1.22/1.42 (define @t81 () (@var "V_b_2" $$unsorted)) % 1.22/1.42 (define @t82 () (= @t81 @t80)) % 1.22/1.42 (define @t83 () (tptp.c_Groups_Oplus__class_Oplus @t44 @t80 @t50)) % 1.22/1.42 (define @t84 () (tptp.c_Groups_Oplus__class_Oplus @t44 @t81 @t50)) % 1.22/1.42 (define @t85 () (tptp.class_Groups_Ocancel__semigroup__add @t44)) % 1.22/1.42 (define @t86 () (tptp.c_Groups_Oplus__class_Oplus @t44 @t50 @t80)) % 1.22/1.42 (define @t87 () (tptp.c_Groups_Oplus__class_Oplus @t44 @t50 @t81)) % 1.22/1.42 (define @t88 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t32 @t25)) % 1.22/1.42 (define @t89 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t35 @t25)) % 1.22/1.42 (define @t90 () (= @t89 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t88))) % 1.22/1.42 (define @t91 () (@var "V_q_2" $$unsorted)) % 1.22/1.42 (define @t92 () (= @t47 @t91)) % 1.22/1.42 (define @t93 () (= @t50 @t81)) % 1.22/1.42 (define @t94 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t42) @t12)) % 1.22/1.42 (define @t95 () (tptp.c_Groups_Oplus__class_Oplus @t44 @t50 @t50)) % 1.22/1.42 (define @t96 () (tptp.class_Groups_Olinordered__ab__group__add @t44)) % 1.22/1.42 (define @t97 () (@list @t50 @t44)) % 1.22/1.42 (define @t98 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t44)) % 1.22/1.42 (define @t99 () (@list @t50 @t81 @t44)) % 1.22/1.42 (define @t100 () (tptp.class_Rings_Ocomm__semiring__1 @t7)) % 1.22/1.42 (define @t101 () (@var "V_z_2" $$unsorted)) % 1.22/1.42 (define @t102 () (@var "T_c" $$unsorted)) % 1.22/1.42 (define @t103 () (tptp.c_Polynomial_Opoly__rec @t44 @t102 @t101 @t2 @t47)) % 1.22/1.42 (define @t104 () (tptp.hAPP (tptp.hAPP @t2 @t50) @t47)) % 1.22/1.42 (define @t105 () (tptp.c_Polynomial_Opoly__rec @t44 @t102 @t101 @t2 (tptp.c_Polynomial_OpCons @t102 @t50 @t47))) % 1.22/1.42 (define @t106 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t102))) % 1.22/1.42 (define @t107 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t102)) @t106) @t101) @t101)) % 1.22/1.42 (define @t108 () (tptp.class_Groups_Ozero @t102)) % 1.22/1.42 (define @t109 () (tptp.c_Groups_Otimes__class_Otimes @t8)) % 1.22/1.42 (define @t110 () (tptp.hAPP @t109 @t18)) % 1.22/1.42 (define @t111 () (tptp.hAPP @t110 @t37)) % 1.22/1.42 (define @t112 () (tptp.c_Polynomial_OpCons @t7 @t42 @t111)) % 1.22/1.42 (define @t113 () (@list @t37 @t12 @t18 @t7)) % 1.22/1.42 (define @t114 () (@var "V_d" $$unsorted)) % 1.22/1.42 (define @t115 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t32 @t114)) % 1.22/1.42 (define @t116 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t25 @t114)) % 1.22/1.42 (define @t117 () (@list @t114 @t25 @t32 @t12 @t7)) % 1.22/1.42 (define @t118 () (tptp.c_Groups_Otimes__class_Otimes @t7)) % 1.22/1.42 (define @t119 () (tptp.hAPP @t118 @t32)) % 1.22/1.42 (define @t120 () (tptp.hAPP @t119 @t25)) % 1.22/1.42 (define @t121 () (tptp.hAPP @t118 @t12)) % 1.22/1.42 (define @t122 () (tptp.hAPP @t121 @t32)) % 1.22/1.42 (define @t123 () (@var "V_ry" $$unsorted)) % 1.22/1.42 (define @t124 () (@var "V_ly" $$unsorted)) % 1.22/1.42 (define @t125 () (tptp.hAPP @t118 @t124)) % 1.22/1.42 (define @t126 () (@var "V_rx" $$unsorted)) % 1.22/1.42 (define @t127 () (@var "V_lx" $$unsorted)) % 1.22/1.42 (define @t128 () (tptp.hAPP @t118 @t127)) % 1.22/1.42 (define @t129 () (tptp.hAPP @t118 (tptp.hAPP @t128 @t126))) % 1.22/1.42 (define @t130 () (tptp.hAPP @t118 @t126)) % 1.22/1.42 (define @t131 () (tptp.hAPP @t130 @t123)) % 1.22/1.42 (define @t132 () (tptp.hAPP @t118 (tptp.hAPP @t128 @t124))) % 1.22/1.42 (define @t133 () (tptp.hAPP @t132 @t131)) % 1.22/1.42 (define @t134 () (@list @t123 @t126 @t124 @t127 @t7)) % 1.22/1.42 (define @t135 () (tptp.hAPP @t132 @t126)) % 1.22/1.42 (define @t136 () (@list @t126 @t124 @t127 @t7)) % 1.22/1.42 (define @t137 () (tptp.hAPP @t128 @t131)) % 1.22/1.42 (define @t138 () (@list @t123 @t126 @t127 @t7)) % 1.22/1.42 (define @t139 () (tptp.hAPP @t119 @t12)) % 1.22/1.42 (define @t140 () (@list @t32 @t12 @t7)) % 1.22/1.42 (define @t141 () (tptp.hAPP @t118 @t42)) % 1.22/1.42 (define @t142 () (= (tptp.hAPP @t141 @t12) @t42)) % 1.22/1.42 (define @t143 () (= (tptp.hAPP @t121 @t42) @t42)) % 1.22/1.42 (define @t144 () (@var "V_z" $$unsorted)) % 1.22/1.42 (define @t145 () (@var "V_x" $$unsorted)) % 1.22/1.42 (define @t146 () (tptp.hAPP @t118 @t145)) % 1.22/1.42 (define @t147 () (@var "V_y" $$unsorted)) % 1.22/1.42 (define @t148 () (tptp.hAPP @t146 @t147)) % 1.22/1.42 (define @t149 () (@list @t144 @t147 @t145 @t7)) % 1.22/1.42 (define @t150 () (tptp.c_Groups_Otimes__class_Otimes @t44)) % 1.22/1.42 (define @t151 () (tptp.hAPP @t150 @t81)) % 1.22/1.42 (define @t152 () (tptp.hAPP @t151 @t80)) % 1.22/1.42 (define @t153 () (@var "V_d_2" $$unsorted)) % 1.22/1.42 (define @t154 () (tptp.hAPP @t150 @t50)) % 1.22/1.42 (define @t155 () (tptp.hAPP @t154 @t80)) % 1.22/1.42 (define @t156 () (= @t80 @t153)) % 1.22/1.42 (define @t157 () (@list @t153 @t80 @t81 @t50 @t44)) % 1.22/1.42 (define @t158 () (tptp.hAPP @t121 @t25)) % 1.22/1.42 (define @t159 () (tptp.hAPP @t118 @t35)) % 1.22/1.42 (define @t160 () (= (tptp.hAPP @t159 @t25) (tptp.c_Groups_Oplus__class_Oplus @t7 @t158 @t120))) % 1.22/1.42 (define @t161 () (@var "V_m" $$unsorted)) % 1.22/1.42 (define @t162 () (tptp.hAPP @t121 @t161)) % 1.22/1.42 (define @t163 () (@var "V_y_2" $$unsorted)) % 1.22/1.42 (define @t164 () (@var "V_w_2" $$unsorted)) % 1.22/1.42 (define @t165 () (tptp.hAPP @t150 @t69)) % 1.22/1.42 (define @t166 () (tptp.hAPP @t150 @t164)) % 1.22/1.42 (define @t167 () (tptp.c_Polynomial_Osmult @t7 @t12 @t111)) % 1.22/1.42 (define @t168 () (@var "V_r" $$unsorted)) % 1.22/1.42 (define @t169 () (tptp.hAPP @t118 @t168)) % 1.22/1.42 (define @t170 () (= @t12 @t32)) % 1.22/1.42 (define @t171 () (tptp.hAPP @t109 @t37)) % 1.22/1.42 (define @t172 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t116)) % 1.22/1.42 (define @t173 () (@list @t114 @t25 @t12 @t7)) % 1.22/1.42 (define @t174 () (tptp.c_Polynomial_Opcompose @t7 @t18 @t37)) % 1.22/1.42 (define @t175 () (= @t163 @t49)) % 1.22/1.42 (define @t176 () (and @t70 @t175)) % 1.22/1.42 (define @t177 () (tptp.hAPP @t165 @t69)) % 1.22/1.42 (define @t178 () (tptp.c_Groups_Oplus__class_Oplus @t44 @t177 (tptp.hAPP (tptp.hAPP @t150 @t163) @t163))) % 1.22/1.42 (define @t179 () (tptp.class_Rings_Olinordered__ring__strict @t44)) % 1.22/1.42 (define @t180 () (@list @t163 @t69 @t44)) % 1.22/1.42 (define @t181 () (@var "V_b_H" $$unsorted)) % 1.22/1.42 (define @t182 () (tptp.hAPP @t121 @t181)) % 1.22/1.42 (define @t183 () (tptp.class_RealVector_Oreal__normed__algebra @t7)) % 1.22/1.42 (define @t184 () (@list @t181 @t32 @t12 @t7)) % 1.22/1.42 (define @t185 () (@var "V_xa" $$unsorted)) % 1.22/1.42 (define @t186 () (tptp.hAPP @t118 @t185)) % 1.22/1.42 (define @t187 () (tptp.hAPP @t186 @t147)) % 1.22/1.42 (define @t188 () (tptp.hAPP @t186 @t145)) % 1.22/1.42 (define @t189 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t145 @t147)) % 1.22/1.42 (define @t190 () (@list @t147 @t145 @t185 @t7)) % 1.22/1.42 (define @t191 () (@var "V_a_H" $$unsorted)) % 1.22/1.42 (define @t192 () (tptp.hAPP @t118 @t191)) % 1.22/1.42 (define @t193 () (tptp.hAPP @t192 @t32)) % 1.22/1.42 (define @t194 () (@list @t32 @t191 @t12 @t7)) % 1.22/1.42 (define @t195 () (@var "V_ya" $$unsorted)) % 1.22/1.42 (define @t196 () (tptp.hAPP @t118 @t147)) % 1.22/1.42 (define @t197 () (tptp.hAPP @t196 @t195)) % 1.22/1.42 (define @t198 () (tptp.hAPP @t146 @t195)) % 1.22/1.42 (define @t199 () (@list @t195 @t147 @t145 @t7)) % 1.22/1.42 (define @t200 () (@var "V_e" $$unsorted)) % 1.22/1.42 (define @t201 () (tptp.class_Rings_Omult__zero @t7)) % 1.22/1.42 (define @t202 () (@list @t147 @t7)) % 1.22/1.42 (define @t203 () (= @t32 @t42)) % 1.22/1.42 (define @t204 () (= @t12 @t42)) % 1.22/1.42 (define @t205 () (= @t122 @t42)) % 1.22/1.42 (define @t206 () (tptp.class_Rings_Ono__zero__divisors @t7)) % 1.22/1.42 (define @t207 () (not @t203)) % 1.22/1.42 (define @t208 () (not @t204)) % 1.22/1.42 (define @t209 () (tptp.hAPP @t154 @t81)) % 1.22/1.42 (define @t210 () (@list @t81 @t50 @t44)) % 1.22/1.42 (define @t211 () (@list @t145 @t7)) % 1.22/1.42 (define @t212 () (tptp.c_Polynomial_Opoly @t7 @t18)) % 1.22/1.42 (define @t213 () (tptp.hAPP @t212 @t145)) % 1.22/1.42 (define @t214 () (@list @t145 @t18 @t12 @t7)) % 1.22/1.42 (define @t215 () (@var "V_r_H" $$unsorted)) % 1.22/1.42 (define @t216 () (tptp.hAPP @t109 @t147)) % 1.22/1.42 (define @t217 () (@var "V_q_H" $$unsorted)) % 1.22/1.42 (define @t218 () (tptp.c_Polynomial_Opdivmod__rel @t7 @t145 @t147 @t37 @t168)) % 1.22/1.42 (define @t219 () (tptp.class_Fields_Ofield @t7)) % 1.22/1.42 (define @t220 () (tptp.hAPP @t121 @t12)) % 1.22/1.42 (define @t221 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t7)) % 1.22/1.42 (define @t222 () (tptp.hAPP @t146 @t145)) % 1.22/1.42 (define @t223 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t222 (tptp.hAPP @t196 @t147))) % 1.22/1.42 (define @t224 () (tptp.class_Rings_Olinordered__ring @t7)) % 1.22/1.42 (define @t225 () (@list @t147 @t145 @t7)) % 1.22/1.42 (define @t226 () (tptp.c_Rings_Odvd__class_Odvd @t45 @t47 @t91)) % 1.22/1.42 (define @t227 () (not @t51)) % 1.22/1.42 (define @t228 () (= @t91 @t46)) % 1.22/1.42 (define @t229 () (tptp.class_Fields_Ofield @t44)) % 1.22/1.42 (define @t230 () (@list @t91 @t47 @t50 @t44)) % 1.22/1.42 (define @t231 () (tptp.c_Orderings_Oord__class_Oless @t7 @t147 @t145)) % 1.22/1.42 (define @t232 () (tptp.c_Orderings_Oord__class_Oless @t7 @t145 @t147)) % 1.22/1.42 (define @t233 () (not @t232)) % 1.22/1.42 (define @t234 () (= @t145 @t147)) % 1.22/1.42 (define @t235 () (not @t234)) % 1.22/1.42 (define @t236 () (=> @t235 (=> @t233 @t231))) % 1.22/1.42 (define @t237 () (tptp.class_Rings_Olinordered__idom @t7)) % 1.22/1.42 (define @t238 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t25)) % 1.22/1.42 (define @t239 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t32 @t25)) % 1.22/1.42 (define @t240 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t32)) % 1.22/1.42 (define @t241 () (tptp.c_Orderings_Oord__class_Oless @t7 @t77 @t115)) % 1.22/1.42 (define @t242 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t25 @t114)) % 1.22/1.42 (define @t243 () (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t32)) % 1.22/1.42 (define @t244 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t7)) % 1.22/1.42 (define @t245 () (tptp.c_Orderings_Oord__class_Oless @t7 @t25 @t114)) % 1.22/1.42 (define @t246 () (=> @t245 @t241)) % 1.22/1.42 (define @t247 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t12 @t32)) % 1.22/1.42 (define @t248 () (tptp.c_Polynomial_Opoly @t44 @t47)) % 1.22/1.42 (define @t249 () (and (tptp.class_Int_Oring__char__0 @t44) @t53)) % 1.22/1.42 (define @t250 () (@list @t91 @t47 @t44)) % 1.22/1.42 (define @t251 () (@var "V_q2" $$unsorted)) % 1.22/1.42 (define @t252 () (@var "V_q1" $$unsorted)) % 1.22/1.42 (define @t253 () (= @t252 @t251)) % 1.22/1.42 (define @t254 () (@var "V_r2" $$unsorted)) % 1.22/1.42 (define @t255 () (tptp.c_Polynomial_Opdivmod__rel @t7 @t145 @t147 @t251 @t254)) % 1.22/1.42 (define @t256 () (@var "V_r1" $$unsorted)) % 1.22/1.42 (define @t257 () (tptp.c_Polynomial_Opdivmod__rel @t7 @t145 @t147 @t252 @t256)) % 1.22/1.42 (define @t258 () (@list @t254 @t251 @t256 @t252 @t147 @t145 @t7)) % 1.22/1.42 (define @t259 () (= @t256 @t254)) % 1.22/1.42 (define @t260 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t50 @t81)) % 1.22/1.42 (define @t261 () (tptp.hAPP @t150 @t80)) % 1.22/1.42 (define @t262 () (tptp.hAPP @t261 @t81)) % 1.22/1.42 (define @t263 () (tptp.hAPP @t261 @t50)) % 1.22/1.42 (define @t264 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t263 @t262)) % 1.22/1.42 (define @t265 () (tptp.c_Orderings_Oord__class_Oless @t44 @t49 @t80)) % 1.22/1.42 (define @t266 () (@list @t81 @t50 @t80 @t44)) % 1.22/1.42 (define @t267 () (tptp.c_Orderings_Oord__class_Oless @t44 @t80 @t49)) % 1.22/1.42 (define @t268 () (tptp.hAPP @t119 @t114)) % 1.22/1.42 (define @t269 () (tptp.c_Orderings_Oord__class_Oless @t7 @t158 @t268)) % 1.22/1.42 (define @t270 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t25)) % 1.22/1.42 (define @t271 () (=> @t270 @t269)) % 1.22/1.42 (define @t272 () (tptp.c_Orderings_Oord__class_Oless @t7 @t42 @t32)) % 1.22/1.42 (define @t273 () (tptp.class_Rings_Olinordered__semiring__strict @t7)) % 1.22/1.42 (define @t274 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t12)) % 1.22/1.42 (define @t275 () (tptp.c_Orderings_Oord__class_Oless @t7 @t42 @t25)) % 1.22/1.42 (define @t276 () (tptp.c_Orderings_Oord__class_Oless @t7 @t42 @t12)) % 1.22/1.42 (define @t277 () (=> @t270 @t243)) % 1.22/1.42 (define @t278 () (tptp.c_Orderings_Oord__class_Oless @t7 @t158 @t120)) % 1.22/1.42 (define @t279 () (=> @t278 @t277)) % 1.22/1.42 (define @t280 () (tptp.class_Rings_Olinordered__semiring @t7)) % 1.22/1.42 (define @t281 () (@list @t32 @t25 @t12 @t7)) % 1.22/1.42 (define @t282 () (tptp.hAPP @t118 @t25)) % 1.22/1.42 (define @t283 () (tptp.hAPP @t282 @t32)) % 1.22/1.42 (define @t284 () (tptp.hAPP @t282 @t12)) % 1.22/1.42 (define @t285 () (tptp.c_Orderings_Oord__class_Oless @t7 @t284 @t283)) % 1.22/1.42 (define @t286 () (=> @t285 @t277)) % 1.22/1.42 (define @t287 () (@list @t32 @t12 @t25 @t7)) % 1.22/1.42 (define @t288 () (=> @t275 @t247)) % 1.22/1.42 (define @t289 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t158 @t120)) % 1.22/1.42 (define @t290 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t284 @t283)) % 1.22/1.42 (define @t291 () (tptp.c_Orderings_Oord__class_Oless @t7 @t42 @t35)) % 1.22/1.42 (define @t292 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t32)) % 1.22/1.42 (define @t293 () (tptp.class_Groups_Oordered__comm__monoid__add @t7)) % 1.22/1.42 (define @t294 () (=> @t272 @t291)) % 1.22/1.42 (define @t295 () (tptp.c_Orderings_Oord__class_Oless @t7 @t32 @t77)) % 1.22/1.42 (define @t296 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t32 @t25)) % 1.22/1.42 (define @t297 () (tptp.c_Orderings_Oord__class_Oless @t7 @t32 @t25)) % 1.22/1.42 (define @t298 () (=> @t297 @t295)) % 1.22/1.42 (define @t299 () (tptp.c_Orderings_Oord__class_Oless @t7 @t35 @t42)) % 1.22/1.42 (define @t300 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t32 @t42)) % 1.22/1.42 (define @t301 () (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t42)) % 1.22/1.42 (define @t302 () (tptp.c_Orderings_Oord__class_Oless @t7 @t32 @t42)) % 1.22/1.42 (define @t303 () (=> @t302 @t299)) % 1.22/1.42 (define @t304 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t12 @t42)) % 1.22/1.42 (define @t305 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t122 @t25)) % 1.22/1.42 (define @t306 () (@var "V_k" $$unsorted)) % 1.22/1.42 (define @t307 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t120)) % 1.22/1.42 (define @t308 () (tptp.c_Orderings_Oord__class_Oless @t44 @t50 @t81)) % 1.22/1.42 (define @t309 () (tptp.c_Groups_Oplus__class_Oplus @t44 @t81 @t80)) % 1.22/1.42 (define @t310 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t44)) % 1.22/1.42 (define @t311 () (@list @t81 @t80 @t50 @t44)) % 1.22/1.42 (define @t312 () (tptp.c_Groups_Oplus__class_Oplus @t44 @t80 @t81)) % 1.22/1.42 (define @t313 () (tptp.c_Orderings_Oord__class_Oless @t7 @t77 @t88)) % 1.22/1.42 (define @t314 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t25 @t32)) % 1.22/1.42 (define @t315 () (tptp.c_Orderings_Oord__class_Oless @t7 @t73 @t314)) % 1.22/1.42 (define @t316 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t7)) % 1.22/1.42 (define @t317 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t77 @t88)) % 1.22/1.42 (define @t318 () (tptp.class_Groups_Oordered__ab__semigroup__add @t7)) % 1.22/1.42 (define @t319 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t73 @t314)) % 1.22/1.42 (define @t320 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t18 @t63)) % 1.22/1.42 (define @t321 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t18 @t37)) % 1.22/1.42 (define @t322 () (@list @t12 @t37 @t18 @t7)) % 1.22/1.42 (define @t323 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t34 @t37)) % 1.22/1.42 (define @t324 () (@list @t47 @t44)) % 1.22/1.42 (define @t325 () (@var "V_r_2" $$unsorted)) % 1.22/1.42 (define @t326 () (= @t325 @t46)) % 1.22/1.42 (define @t327 () (tptp.c_Polynomial_Osmult @t7 @t12 @t145)) % 1.22/1.42 (define @t328 () (tptp.c_Rings_Odvd__class_Odvd @t44 @t50 @t81)) % 1.22/1.42 (define @t329 () (or (= @t80 @t49) @t328)) % 1.22/1.42 (define @t330 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t37) @t145)) % 1.22/1.42 (define @t331 () (@list @t145 @t37 @t18 @t7)) % 1.22/1.42 (define @t332 () (tptp.c_Orderings_Oord__class_Oless @t44 @t81 @t50)) % 1.22/1.42 (define @t333 () (or (and @t265 @t308) (and @t267 @t332))) % 1.22/1.42 (define @t334 () (tptp.c_Orderings_Oord__class_Oless @t44 @t263 @t262)) % 1.22/1.42 (define @t335 () (tptp.c_Orderings_Oord__class_Oless @t7 @t42 @t122)) % 1.22/1.42 (define @t336 () (tptp.c_Orderings_Oord__class_Oless @t7 @t122 @t42)) % 1.22/1.42 (define @t337 () (=> @t276 @t272)) % 1.22/1.42 (define @t338 () (@list @t12 @t32 @t7)) % 1.22/1.42 (define @t339 () (tptp.class_Rings_Olinordered__ring__strict @t7)) % 1.22/1.42 (define @t340 () (=> @t243 (=> @t275 @t285))) % 1.22/1.42 (define @t341 () (tptp.c_Orderings_Oord__class_Oless @t7 @t25 @t42)) % 1.22/1.42 (define @t342 () (tptp.c_Orderings_Oord__class_Oless @t7 @t32 @t12)) % 1.22/1.42 (define @t343 () (tptp.c_Orderings_Oord__class_Oless @t44 @t50 @t49)) % 1.22/1.42 (define @t344 () (= (tptp.c_Orderings_Oord__class_Oless @t44 @t95 @t49) @t343)) % 1.22/1.42 (define @t345 () (tptp.class_Rings_Olinordered__idom @t44)) % 1.22/1.42 (define @t346 () (tptp.c_Orderings_Oord__class_Oless @t44 @t49 @t50)) % 1.22/1.42 (define @t347 () (tptp.class_Rings_Olinordered__semidom @t7)) % 1.22/1.42 (define @t348 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t81 @t49)) % 1.22/1.42 (define @t349 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t50 @t49)) % 1.22/1.42 (define @t350 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t49 @t81)) % 1.22/1.42 (define @t351 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t49 @t50)) % 1.22/1.42 (define @t352 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t122)) % 1.22/1.42 (define @t353 () (tptp.class_Rings_Oordered__cancel__semiring @t7)) % 1.22/1.42 (define @t354 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t122 @t42)) % 1.22/1.42 (define @t355 () (tptp.class_Rings_Oordered__ring @t7)) % 1.22/1.42 (define @t356 () (tptp.class_Rings_Oordered__semiring @t7)) % 1.22/1.42 (define @t357 () (=> @t247 (=> @t270 @t290))) % 1.22/1.42 (define @t358 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t25 @t42)) % 1.22/1.42 (define @t359 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t32 @t12)) % 1.22/1.42 (define @t360 () (=> @t270 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t158 @t268))) % 1.22/1.42 (define @t361 () (= (tptp.c_Groups_Oplus__class_Oplus @t44 @t69 @t163) @t49)) % 1.22/1.42 (define @t362 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t32 @t77)) % 1.22/1.42 (define @t363 () (@list @t12 @t32 @t25 @t7)) % 1.22/1.42 (define @t364 () (@var "V_P_2" $$unsorted)) % 1.22/1.42 (define @t365 () (tptp.hBOOL (tptp.hAPP @t364 @t3))) % 1.22/1.42 (define @t366 () (@var "V_l_2" $$unsorted)) % 1.22/1.42 (define @t367 () (tptp.class_Rings_Odvd @t44)) % 1.22/1.42 (define @t368 () (tptp.class_Orderings_Opreorder @t7)) % 1.22/1.42 (define @t369 () (tptp.c_Polynomial_Osynthetic__div @t7 @t18 @t25)) % 1.22/1.42 (define @t370 () (tptp.hAPP @t212 @t25)) % 1.22/1.42 (define @t371 () (tptp.c_Polynomial_OpCons @t7 @t370 @t369)) % 1.22/1.42 (define @t372 () (tptp.c_Polynomial_Opos__poly @t44 @t47)) % 1.22/1.42 (define @t373 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.22/1.42 (define @t374 () (tptp.c_Orderings_Oord__class_Oless @t7 @t144 @t145)) % 1.22/1.42 (define @t375 () (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t144 @t147) @t374)) % 1.22/1.42 (define @t376 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t147 @t145)) % 1.22/1.42 (define @t377 () (tptp.class_Orderings_Oorder @t7)) % 1.22/1.42 (define @t378 () (@list @t144 @t145 @t147 @t7)) % 1.22/1.42 (define @t379 () (tptp.c_Orderings_Oord__class_Oless @t7 @t145 @t144)) % 1.22/1.42 (define @t380 () (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t147 @t144) @t379)) % 1.22/1.42 (define @t381 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t145 @t147)) % 1.22/1.42 (define @t382 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t144 @t147)) % 1.22/1.42 (define @t383 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t147 @t144)) % 1.22/1.42 (define @t384 () (tptp.c_Polynomial_Opos__poly @t7 @t37)) % 1.22/1.42 (define @t385 () (tptp.c_Polynomial_Opos__poly @t7 @t18)) % 1.22/1.42 (define @t386 () (@list @t37 @t18 @t7)) % 1.22/1.42 (define @t387 () (tptp.tc_fun @t44 @t102)) % 1.22/1.42 (define @t388 () (tptp.c_Orderings_Oord__class_Oless__eq @t387 @t2 @t1)) % 1.22/1.42 (define @t389 () (tptp.class_Orderings_Oord @t102)) % 1.22/1.42 (define @t390 () (@list @t1 @t2 @t44 @t102)) % 1.22/1.42 (define @t391 () (tptp.class_Orderings_Olinorder @t7)) % 1.22/1.42 (define @t392 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t163 @t69)) % 1.22/1.42 (define @t393 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t69 @t163)) % 1.22/1.42 (define @t394 () (= @t69 @t163)) % 1.22/1.42 (define @t395 () (tptp.class_Orderings_Oorder @t44)) % 1.22/1.42 (define @t396 () (= @t393 @t394)) % 1.22/1.42 (define @t397 () (@list @t69 @t163 @t44)) % 1.22/1.42 (define @t398 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t12 @t25)) % 1.22/1.42 (define @t399 () (tptp.class_Orderings_Oord @t7)) % 1.22/1.42 (define @t400 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t25 @t12)) % 1.22/1.42 (define @t401 () (@list @t145 @t147 @t7)) % 1.22/1.42 (define @t402 () (tptp.c_Orderings_Oord__class_Oless @t44 @t163 @t69)) % 1.22/1.42 (define @t403 () (tptp.c_Orderings_Oord__class_Oless @t44 @t69 @t163)) % 1.22/1.42 (define @t404 () (not @t394)) % 1.22/1.42 (define @t405 () (tptp.class_Orderings_Olinorder @t44)) % 1.22/1.42 (define @t406 () (not @t403)) % 1.22/1.42 (define @t407 () (= @t406 @t394)) % 1.22/1.42 (define @t408 () (not (= @t147 @t145))) % 1.22/1.42 (define @t409 () (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t25)) % 1.22/1.42 (define @t410 () (tptp.c_Orderings_Oord__class_Oless @t7 @t25 @t12)) % 1.22/1.42 (define @t411 () (not @t170)) % 1.22/1.42 (define @t412 () (@var "V_n" $$unsorted)) % 1.22/1.42 (define @t413 () (@list @t412)) % 1.22/1.42 (define @t414 () (@var "V_v" $$unsorted)) % 1.22/1.42 (define @t415 () (@var "V_u" $$unsorted)) % 1.22/1.42 (define @t416 () (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP (tptp.hAPP @t118 @t415) @t145) (tptp.hAPP (tptp.hAPP @t118 @t414) @t147))) % 1.22/1.42 (define @t417 () (tptp.c_Groups_Oone__class_Oone @t7)) % 1.22/1.42 (define @t418 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t415 @t414) @t417)) % 1.22/1.42 (define @t419 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t414)) % 1.22/1.42 (define @t420 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t415)) % 1.22/1.42 (define @t421 () (@list @t414 @t415 @t147 @t12 @t145 @t7)) % 1.22/1.42 (define @t422 () (= @t163 @t46)) % 1.22/1.42 (define @t423 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.22/1.42 (define @t424 () (@var "V_n_2" $$unsorted)) % 1.22/1.42 (define @t425 () (= @t424 @t423)) % 1.22/1.42 (define @t426 () (@var "V_m_2" $$unsorted)) % 1.22/1.42 (define @t427 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.22/1.42 (define @t428 () (tptp.hAPP @t427 @t426)) % 1.22/1.42 (define @t429 () (tptp.hAPP @t428 @t424)) % 1.22/1.42 (define @t430 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t426)) % 1.22/1.42 (define @t431 () (@list @t424 @t426)) % 1.22/1.42 (define @t432 () (tptp.hAPP @t427 @t424)) % 1.22/1.42 (define @t433 () (tptp.c_Polynomial_Omonom @t7 @t12 @t412)) % 1.22/1.42 (define @t434 () (tptp.c_Polynomial_Odegree @t7 @t433)) % 1.22/1.42 (define @t435 () (@list @t412 @t12 @t7)) % 1.22/1.42 (define @t436 () (tptp.c_Groups_Oone__class_Oone @t8)) % 1.22/1.42 (define @t437 () (tptp.hAPP @t427 @t161)) % 1.22/1.42 (define @t438 () (tptp.hAPP @t437 @t412)) % 1.22/1.42 (define @t439 () (@list @t412 @t161)) % 1.22/1.42 (define @t440 () (tptp.c_Groups_Oone__class_Oone @t44)) % 1.22/1.42 (define @t441 () (= @t69 @t440)) % 1.22/1.42 (define @t442 () (tptp.c_Polynomial_Omonom @t44 @t50 @t424)) % 1.22/1.42 (define @t443 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t424 @t426)) % 1.22/1.42 (define @t444 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t426 @t424)) % 1.22/1.42 (define @t445 () (= @t426 @t424)) % 1.22/1.42 (define @t446 () (not @t445)) % 1.22/1.42 (define @t447 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t412 @t161)) % 1.22/1.42 (define @t448 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t161 @t412)) % 1.22/1.42 (define @t449 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t426 @t424)) % 1.22/1.42 (define @t450 () (or @t444 @t445)) % 1.22/1.42 (define @t451 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t147)) % 1.22/1.42 (define @t452 () (@list @t147 @t145)) % 1.22/1.42 (define @t453 () (= @t161 @t412)) % 1.22/1.42 (define @t454 () (not @t453)) % 1.22/1.42 (define @t455 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t161)) % 1.22/1.42 (define @t456 () (@list @t161 @t412)) % 1.22/1.42 (define @t457 () (@var "V_t" $$unsorted)) % 1.22/1.42 (define @t458 () (@var "V_s" $$unsorted)) % 1.22/1.42 (define @t459 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t161 @t412)) % 1.22/1.42 (define @t460 () (@var "V_i" $$unsorted)) % 1.22/1.42 (define @t461 () (@var "V_j" $$unsorted)) % 1.22/1.42 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t460 @t461)) % 1.22/1.42 (define @t463 () (@list @t306 @t461 @t460)) % 1.22/1.42 (define @t464 () (tptp.hAPP @t364 @t424)) % 1.22/1.42 (define @t465 () (tptp.hBOOL (tptp.hAPP @t464 @t426))) % 1.22/1.42 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t306 @t412)) % 1.22/1.42 (define @t467 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t306)) % 1.22/1.42 (define @t468 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t467 @t412)) % 1.22/1.42 (define @t469 () (@list @t412 @t306 @t161)) % 1.22/1.42 (define @t470 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t460 @t461)) % 1.22/1.42 (define @t471 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t306 @t412)) % 1.22/1.42 (define @t472 () (@var "V_l" $$unsorted)) % 1.22/1.42 (define @t473 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t306 @t472)) % 1.22/1.42 (define @t474 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t461 @t472)) % 1.22/1.42 (define @t475 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t460 @t306)) % 1.22/1.42 (define @t476 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t306 @t472)) % 1.22/1.42 (define @t477 () (@list @t472 @t306 @t461 @t460)) % 1.22/1.42 (define @t478 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t460 @t461)) % 1.22/1.42 (define @t479 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t461 @t306)) % 1.22/1.42 (define @t480 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t461)) % 1.22/1.42 (define @t481 () (@list @t161 @t461 @t460)) % 1.22/1.42 (define @t482 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t461 @t161)) % 1.22/1.42 (define @t483 () (@var "V_k_2" $$unsorted)) % 1.22/1.42 (define @t484 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t483 @t424)) % 1.22/1.42 (define @t485 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t483 @t426)) % 1.22/1.42 (define @t486 () (@list @t424 @t426 @t483)) % 1.22/1.42 (define @t487 () (@var "B_k" $$unsorted)) % 1.22/1.42 (define @t488 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t426 @t487)) % 1.22/1.42 (define @t489 () (@list @t487)) % 1.22/1.42 (define @t490 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t412 @t161)) % 1.22/1.42 (define @t491 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t412)) % 1.22/1.42 (define @t492 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t461 @t460)) % 1.22/1.42 (define @t493 () (tptp.hAPP @t437 @t161)) % 1.22/1.42 (define @t494 () (@list @t161)) % 1.22/1.42 (define @t495 () (tptp.hAPP @t427 @t461)) % 1.22/1.42 (define @t496 () (tptp.hAPP @t495 @t306)) % 1.22/1.42 (define @t497 () (tptp.hAPP @t427 @t460)) % 1.22/1.42 (define @t498 () (tptp.hAPP @t497 @t306)) % 1.22/1.42 (define @t499 () (tptp.hAPP @t427 @t306)) % 1.22/1.42 (define @t500 () (tptp.hAPP @t499 @t461)) % 1.22/1.42 (define @t501 () (tptp.hAPP @t499 @t460)) % 1.22/1.42 (define @t502 () (tptp.c_Polynomial_OpCons @t7 @t417 @t9)) % 1.22/1.42 (define @t503 () (tptp.class_Rings_Ozero__neq__one @t7)) % 1.22/1.42 (define @t504 () (= (tptp.hAPP (tptp.hAPP @t118 @t417) @t12) @t12)) % 1.22/1.42 (define @t505 () (tptp.class_Groups_Omonoid__mult @t7)) % 1.22/1.42 (define @t506 () (tptp.class_Groups_Ocomm__monoid__mult @t7)) % 1.22/1.42 (define @t507 () (= (tptp.hAPP @t121 @t417) @t12)) % 1.22/1.42 (define @t508 () (tptp.c_Polynomial_Odegree @t7 @t18)) % 1.22/1.42 (define @t509 () (tptp.c_Polynomial_Odegree @t7 @t34)) % 1.22/1.42 (define @t510 () (@list @t18 @t12 @t7)) % 1.22/1.42 (define @t511 () (tptp.c_Polynomial_Odegree @t7 @t38)) % 1.22/1.42 (define @t512 () (tptp.c_Polynomial_Odegree @t7 @t37)) % 1.22/1.42 (define @t513 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t508 @t412)) % 1.22/1.42 (define @t514 () (@list @t37 @t412 @t18 @t7)) % 1.22/1.42 (define @t515 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t508 @t412)) % 1.22/1.42 (define @t516 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t508 @t512)) % 1.22/1.42 (define @t517 () (tptp.c_Polynomial_Odegree @t7 @t111)) % 1.22/1.42 (define @t518 () (tptp.hAPP @t427 @t508)) % 1.22/1.42 (define @t519 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t417)) % 1.22/1.42 (define @t520 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t417 @t417)) % 1.22/1.42 (define @t521 () (tptp.hAPP (tptp.hAPP @t118 @t519) @t161)) % 1.22/1.42 (define @t522 () (not (= @t37 @t9))) % 1.22/1.42 (define @t523 () (tptp.class_Rings_Oidom @t7)) % 1.22/1.42 (define @t524 () (not @t24)) % 1.22/1.42 (define @t525 () (tptp.c_Polynomial_Oorder @t7 @t12 @t18)) % 1.22/1.42 (define @t526 () (@list @t12 @t18 @t7)) % 1.22/1.42 (define @t527 () (@list @t412 @t7)) % 1.22/1.42 (define @t528 () (@list @t424 @t50 @t44)) % 1.22/1.42 (define @t529 () (tptp.c_Polynomial_Omonom @t7 @t32 @t412)) % 1.22/1.42 (define @t530 () (@list @t412 @t32 @t12 @t7)) % 1.22/1.42 (define @t531 () (@list @t32 @t412 @t12 @t7)) % 1.22/1.42 (define @t532 () (tptp.c_Polynomial_Omonom @t7 @t12 @t161)) % 1.22/1.42 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t147 @t417)) % 1.22/1.42 (define @t534 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t147)) % 1.22/1.42 (define @t535 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t145)) % 1.22/1.42 (define @t536 () (tptp.c_Polynomial_Odegree @t44 @t47)) % 1.22/1.42 (define @t537 () (@list @t80 @t47 @t44)) % 1.22/1.42 (define @t538 () (= @t424 @t373)) % 1.22/1.42 (define @t539 () (= @t426 @t373)) % 1.22/1.42 (define @t540 () (= @t483 @t373)) % 1.22/1.42 (define @t541 () (or @t445 @t540)) % 1.22/1.42 (define @t542 () (tptp.hAPP @t427 @t483)) % 1.22/1.42 (define @t543 () (tptp.hAPP @t542 @t424)) % 1.22/1.42 (define @t544 () (tptp.hAPP @t542 @t426)) % 1.22/1.42 (define @t545 () (= @t544 @t543)) % 1.22/1.42 (define @t546 () (tptp.hAPP @t432 @t483)) % 1.22/1.42 (define @t547 () (tptp.hAPP @t428 @t483)) % 1.22/1.42 (define @t548 () (@list @t424 @t483 @t426)) % 1.22/1.42 (define @t549 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t426 @t424)) % 1.22/1.42 (define @t550 () (= @t412 @t373)) % 1.22/1.42 (define @t551 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t412)) % 1.22/1.42 (define @t552 () (not @t550)) % 1.22/1.42 (define @t553 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t306 @t412)) % 1.22/1.42 (define @t554 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t412 @t161)) % 1.22/1.42 (define @t555 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t161)) % 1.22/1.42 (define @t556 () (@list @t424)) % 1.22/1.42 (define @t557 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t424)) % 1.22/1.42 (define @t558 () (not @t538)) % 1.22/1.42 (define @t559 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t161 @t412)) % 1.22/1.42 (define @t560 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t306)) % 1.22/1.42 (define @t561 () (tptp.hAPP @t499 @t412)) % 1.22/1.42 (define @t562 () (tptp.hAPP @t499 @t161)) % 1.22/1.42 (define @t563 () (@list @t412 @t161 @t306)) % 1.22/1.42 (define @t564 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t483)) % 1.22/1.42 (define @t565 () (=> @t564 @t449)) % 1.22/1.42 (define @t566 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t544 @t543)) % 1.22/1.42 (define @t567 () (and @t564 @t444)) % 1.22/1.42 (define @t568 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t544 @t543)) % 1.22/1.42 (define @t569 () (tptp.class_Rings_Ocomm__ring__1 @t7)) % 1.22/1.42 (define @t570 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t145 @t147)) % 1.22/1.42 (define @t571 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t426 @t424)) % 1.22/1.42 (define @t572 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t544 @t543)) % 1.22/1.42 (define @t573 () (@list @t145)) % 1.22/1.42 (define @t574 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t424 @t483)) % 1.22/1.42 (define @t575 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t145 @t147)) % 1.22/1.42 (define @t576 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t147 @t145)) % 1.22/1.42 (define @t577 () (and @t575 (not @t576))) % 1.22/1.42 (define @t578 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t145 @t144)) % 1.22/1.42 (define @t579 () (and @t578 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t144 @t145)))) % 1.22/1.42 (define @t580 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t147 @t144)) % 1.22/1.42 (define @t581 () (=> (and @t580 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t144 @t147))) @t579)) % 1.22/1.42 (define @t582 () (@list @t144 @t147 @t145)) % 1.22/1.42 (define @t583 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t12 @t32)) % 1.22/1.42 (define @t584 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t32 @t12)) % 1.22/1.42 (define @t585 () (and @t583 (not @t584))) % 1.22/1.42 (define @t586 () (@list @t32 @t12)) % 1.22/1.42 (define @t587 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t12 @t25)) % 1.22/1.42 (define @t588 () (and @t587 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t25 @t12)))) % 1.22/1.42 (define @t589 () (@list @t25 @t32 @t12)) % 1.22/1.42 (define @t590 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t32 @t25)) % 1.22/1.42 (define @t591 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t69 @t163)) % 1.22/1.42 (define @t592 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t163 @t69)) % 1.22/1.42 (define @t593 () (and @t591 (not @t592))) % 1.22/1.42 (define @t594 () (@list @t163 @t69)) % 1.22/1.42 (define @t595 () (= @t426 @t423)) % 1.22/1.42 (define @t596 () (@list @t426)) % 1.22/1.42 (define @t597 () (tptp.hAPP @t427 @t412)) % 1.22/1.42 (define @t598 () (tptp.hAPP @t597 @t306)) % 1.22/1.42 (define @t599 () (tptp.hAPP @t437 @t306)) % 1.22/1.42 (define @t600 () (@list @t306 @t412 @t161)) % 1.22/1.42 (define @t601 () (and @t595 @t425)) % 1.22/1.42 (define @t602 () (tptp.hAPP @t597 @t161)) % 1.22/1.42 (define @t603 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t12)) % 1.22/1.42 (define @t604 () (tptp.class_Groups_Oab__group__add @t7)) % 1.22/1.42 (define @t605 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t147 @t144)) % 1.22/1.42 (define @t606 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t412 @t306)) % 1.22/1.42 (define @t607 () (tptp.c_Groups_Ouminus__class_Ouminus @t44 @t163)) % 1.22/1.42 (define @t608 () (tptp.c_Groups_Ouminus__class_Ouminus @t44 @t69)) % 1.22/1.42 (define @t609 () (tptp.class_Lattices_Oboolean__algebra @t44)) % 1.22/1.42 (define @t610 () (@var "V_A_2" $$unsorted)) % 1.22/1.42 (define @t611 () (tptp.hAPP @t610 @t69)) % 1.22/1.42 (define @t612 () (tptp.tc_fun @t102 @t44)) % 1.22/1.42 (define @t613 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t145)) % 1.22/1.42 (define @t614 () (tptp.class_Lattices_Oboolean__algebra @t7)) % 1.22/1.42 (define @t615 () (tptp.class_Groups_Oab__group__add @t44)) % 1.22/1.42 (define @t616 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t18)) % 1.22/1.42 (define @t617 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t34)) % 1.22/1.42 (define @t618 () (tptp.class_Rings_Ocomm__ring @t7)) % 1.22/1.42 (define @t619 () (tptp.c_Groups_Ouminus__class_Ouminus @t44 @t81)) % 1.22/1.42 (define @t620 () (tptp.c_Groups_Ouminus__class_Ouminus @t44 @t50)) % 1.22/1.42 (define @t621 () (tptp.class_Groups_Ogroup__add @t44)) % 1.22/1.42 (define @t622 () (= @t50 @t619)) % 1.22/1.42 (define @t623 () (tptp.class_Groups_Ogroup__add @t7)) % 1.22/1.42 (define @t624 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t147)) % 1.22/1.42 (define @t625 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t32)) % 1.22/1.42 (define @t626 () (tptp.class_Groups_Oordered__ab__group__add @t44)) % 1.22/1.42 (define @t627 () (tptp.hAPP @t121 @t625)) % 1.22/1.42 (define @t628 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t122)) % 1.22/1.42 (define @t629 () (tptp.class_Rings_Oring @t7)) % 1.22/1.42 (define @t630 () (tptp.hAPP @t118 @t603)) % 1.22/1.42 (define @t631 () (tptp.hAPP @t630 @t32)) % 1.22/1.42 (define @t632 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t35)) % 1.22/1.42 (define @t633 () (tptp.c_Rings_Odvd__class_Odvd @t44 @t69 @t163)) % 1.22/1.42 (define @t634 () (tptp.class_Rings_Ocomm__ring__1 @t44)) % 1.22/1.42 (define @t635 () (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t603 @t12) @t42)) % 1.22/1.42 (define @t636 () (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t417)) % 1.22/1.42 (define @t637 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t605)) % 1.22/1.42 (define @t638 () (@list @t147 @t144 @t145)) % 1.22/1.42 (define @t639 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t145 @t605)) % 1.22/1.42 (define @t640 () (tptp.c_Groups_Ouminus__class_Ouminus @t44 @t80)) % 1.22/1.42 (define @t641 () (tptp.c_Polynomial_OpCons @t44 @t440 @t46)) % 1.22/1.42 (define @t642 () (@var "B_n" $$unsorted)) % 1.22/1.42 (define @t643 () (@list @t642)) % 1.22/1.42 (define @t644 () (tptp.c_Power_Opower__class_Opower @t8)) % 1.22/1.42 (define @t645 () (tptp.hAPP @t644 (tptp.c_Polynomial_OpCons @t7 @t603 @t502))) % 1.22/1.42 (define @t646 () (tptp.c_Rings_Odvd__class_Odvd @t8 (tptp.hAPP @t645 @t525) @t18)) % 1.22/1.42 (define @t647 () (@var "B_i" $$unsorted)) % 1.22/1.42 (define @t648 () (@list @t647)) % 1.22/1.42 (define @t649 () (tptp.c_Polynomial_Ocoeff @t7 @t18)) % 1.22/1.42 (define @t650 () (tptp.hAPP @t649 @t412)) % 1.22/1.42 (define @t651 () (= @t650 @t42)) % 1.22/1.42 (define @t652 () (@list @t412 @t18 @t7)) % 1.22/1.42 (define @t653 () (tptp.c_Power_Opower__class_Opower @t7)) % 1.22/1.42 (define @t654 () (tptp.hAPP @t653 @t145)) % 1.22/1.42 (define @t655 () (tptp.hAPP @t654 @t18)) % 1.22/1.42 (define @t656 () (@list @t37 @t18 @t145 @t7)) % 1.22/1.42 (define @t657 () (tptp.hAPP @t653 @t147)) % 1.22/1.42 (define @t658 () (tptp.hAPP @t654 @t37)) % 1.22/1.42 (define @t659 () (tptp.hAPP @t118 @t658)) % 1.22/1.42 (define @t660 () (tptp.hAPP (tptp.hAPP @t644 @t18) @t412)) % 1.22/1.42 (define @t661 () (tptp.c_Polynomial_Ocoeff @t44 @t47)) % 1.22/1.42 (define @t662 () (tptp.hAPP (tptp.hAPP @t644 (tptp.c_Polynomial_OpCons @t7 @t12 @t502)) @t412)) % 1.22/1.42 (define @t663 () (tptp.c_Polynomial_Ocoeff @t7 @t20)) % 1.22/1.42 (define @t664 () (@list @t412 @t18 @t12 @t7)) % 1.22/1.42 (define @t665 () (tptp.c_Polynomial_Ocoeff @t7 @t37)) % 1.22/1.42 (define @t666 () (tptp.hAPP @t665 @t412)) % 1.22/1.42 (define @t667 () (@list @t412 @t37 @t18 @t7)) % 1.22/1.42 (define @t668 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t532) @t412)) % 1.22/1.42 (define @t669 () (@list @t12 @t412 @t161 @t7)) % 1.22/1.42 (define @t670 () (tptp.hAPP @t665 @t512)) % 1.22/1.42 (define @t671 () (tptp.hAPP @t649 @t508)) % 1.22/1.42 (define @t672 () (tptp.hAPP @t661 @t536)) % 1.22/1.42 (define @t673 () (tptp.hAPP @t654 @t412)) % 1.22/1.42 (define @t674 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t436) @t412)) % 1.22/1.42 (define @t675 () (tptp.hAPP @t653 @t32)) % 1.22/1.42 (define @t676 () (tptp.hAPP @t675 @t412)) % 1.22/1.42 (define @t677 () (tptp.hAPP @t653 @t12)) % 1.22/1.42 (define @t678 () (tptp.hAPP @t677 @t412)) % 1.22/1.42 (define @t679 () (tptp.c_Orderings_Oord__class_Oless @t7 @t678 @t676)) % 1.22/1.42 (define @t680 () (@list @t145 @t412 @t7)) % 1.22/1.42 (define @t681 () (tptp.c_Orderings_Oord__class_Oless @t7 @t417 @t12)) % 1.22/1.42 (define @t682 () (tptp.c_Power_Opower__class_Opower @t44)) % 1.22/1.42 (define @t683 () (tptp.hAPP @t682 @t81)) % 1.22/1.42 (define @t684 () (tptp.hAPP @t683 @t163)) % 1.22/1.42 (define @t685 () (tptp.hAPP @t683 @t69)) % 1.22/1.42 (define @t686 () (tptp.c_Orderings_Oord__class_Oless @t44 @t440 @t81)) % 1.22/1.42 (define @t687 () (tptp.class_Rings_Olinordered__semidom @t44)) % 1.22/1.42 (define @t688 () (@list @t163 @t69 @t81 @t44)) % 1.22/1.42 (define @t689 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.22/1.42 (define @t690 () (tptp.hAPP @t689 @t145)) % 1.22/1.42 (define @t691 () (tptp.hAPP @t690 @t147)) % 1.22/1.42 (define @t692 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.22/1.42 (define @t693 () (@list @t32 @t412 @t12)) % 1.22/1.42 (define @t694 () (@list @t81 @t50 @t424)) % 1.22/1.42 (define @t695 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t69)) % 1.22/1.42 (define @t696 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.22/1.42 (define @t697 () (tptp.hAPP @t696 @t69)) % 1.22/1.42 (define @t698 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 (tptp.hAPP @t697 @t424))) % 1.22/1.42 (define @t699 () (@list @t424 @t69)) % 1.22/1.42 (define @t700 () (tptp.hAPP @t696 @t460)) % 1.22/1.42 (define @t701 () (tptp.hAPP @t700 @t412)) % 1.22/1.42 (define @t702 () (tptp.hAPP @t700 @t161)) % 1.22/1.42 (define @t703 () (@list @t412 @t161 @t460)) % 1.22/1.42 (define @t704 () (tptp.hAPP @t121 @t678)) % 1.22/1.42 (define @t705 () (tptp.hAPP @t118 @t678)) % 1.22/1.42 (define @t706 () (tptp.hAPP @t705 @t12)) % 1.22/1.42 (define @t707 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t145 @t147)) % 1.22/1.42 (define @t708 () (tptp.hAPP @t677 @t161)) % 1.22/1.42 (define @t709 () (@list @t412 @t161 @t12 @t7)) % 1.22/1.42 (define @t710 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t417 @t12)) % 1.22/1.42 (define @t711 () (tptp.hAPP @t682 @t50)) % 1.22/1.42 (define @t712 () (tptp.hAPP @t711 @t424)) % 1.22/1.42 (define @t713 () (tptp.class_Power_Opower @t44)) % 1.22/1.42 (define @t714 () (tptp.class_Power_Opower @t7)) % 1.22/1.42 (define @t715 () (tptp.hAPP @t653 @t42)) % 1.22/1.42 (define @t716 () (tptp.hAPP @t715 @t412)) % 1.22/1.42 (define @t717 () (and @t714 (tptp.class_Rings_Osemiring__0 @t7))) % 1.22/1.42 (define @t718 () (tptp.class_Rings_Oring__1 @t7)) % 1.22/1.42 (define @t719 () (@var "V_N" $$unsorted)) % 1.22/1.42 (define @t720 () (tptp.hAPP @t677 @t719)) % 1.22/1.42 (define @t721 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t719)) % 1.22/1.42 (define @t722 () (@list @t12 @t719 @t412 @t7)) % 1.22/1.42 (define @t723 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t412 @t719)) % 1.22/1.42 (define @t724 () (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t417)) % 1.22/1.42 (define @t725 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t12 @t417)) % 1.22/1.42 (define @t726 () (not (tptp.c_Rings_Odvd__class_Odvd @t8 (tptp.hAPP @t645 (tptp.c_Nat_OSuc @t525)) @t18))) % 1.22/1.42 (define @t727 () (tptp.c_Nat_OSuc @t412)) % 1.22/1.42 (define @t728 () (tptp.c_Nat_OSuc @t161)) % 1.22/1.42 (define @t729 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t728 @t727)) % 1.22/1.42 (define @t730 () (tptp.c_Nat_OSuc @t373)) % 1.22/1.42 (define @t731 () (@var "V_times_2" $$unsorted)) % 1.22/1.42 (define @t732 () (@var "V_one_2" $$unsorted)) % 1.22/1.42 (define @t733 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t44 @t732 @t731) @t50)) % 1.22/1.42 (define @t734 () (tptp.c_Nat_OSuc @t424)) % 1.22/1.42 (define @t735 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.22/1.42 (define @t736 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.22/1.42 (define @t737 () (tptp.hAPP @t692 @t306)) % 1.22/1.42 (define @t738 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t460 @t461)) % 1.22/1.42 (define @t739 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t412 @t161)) % 1.22/1.42 (define @t740 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t161 @t412)) % 1.22/1.42 (define @t741 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 @t161)) % 1.22/1.42 (define @t742 () (tptp.hAPP @t427 (tptp.c_Nat_OSuc @t483))) % 1.22/1.42 (define @t743 () (tptp.hAPP @t742 @t424)) % 1.22/1.42 (define @t744 () (tptp.hAPP @t742 @t426)) % 1.22/1.42 (define @t745 () (tptp.hAPP @t692 @t144)) % 1.22/1.42 (define @t746 () (@list @t144)) % 1.22/1.42 (define @t747 () (tptp.c_Nat_OSuc @t491)) % 1.22/1.42 (define @t748 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t727)) % 1.22/1.42 (define @t749 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t728 @t412)) % 1.22/1.42 (define @t750 () (@var "V_w" $$unsorted)) % 1.22/1.42 (define @t751 () (tptp.hAPP @t692 @t750)) % 1.22/1.42 (define @t752 () (tptp.hAPP @t745 @t750)) % 1.22/1.42 (define @t753 () (@list @t750 @t144)) % 1.22/1.42 (define @t754 () (@var "V_z3" $$unsorted)) % 1.22/1.42 (define @t755 () (@var "V_z2" $$unsorted)) % 1.22/1.42 (define @t756 () (tptp.hAPP @t692 @t755)) % 1.22/1.42 (define @t757 () (@var "V_z1" $$unsorted)) % 1.22/1.42 (define @t758 () (tptp.hAPP @t692 @t757)) % 1.22/1.42 (define @t759 () (@list @t754 @t755 @t757)) % 1.22/1.42 (define @t760 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t757 @t755)) % 1.22/1.42 (define @t761 () (@var "V_t_2" $$unsorted)) % 1.22/1.42 (define @t762 () (tptp.hAPP @t692 @t483)) % 1.22/1.42 (define @t763 () (tptp.hAPP @t762 @t426)) % 1.22/1.42 (define @t764 () (@var "V_nat_H" $$unsorted)) % 1.22/1.42 (define @t765 () (@var "V_nat_H_1" $$unsorted)) % 1.22/1.42 (define @t766 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t728 @t412)) % 1.22/1.42 (define @t767 () (not @t459)) % 1.22/1.42 (define @t768 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t161 @t727)) % 1.22/1.42 (define @t769 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t461 @t306)) % 1.22/1.42 (define @t770 () (tptp.c_Nat_OSuc @t426)) % 1.22/1.42 (define @t771 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t424 @t770)) % 1.22/1.42 (define @t772 () (= @t771 (= @t424 @t426))) % 1.22/1.42 (define @t773 () (@list @t426 @t424)) % 1.22/1.42 (define @t774 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t426 @t734)) % 1.22/1.42 (define @t775 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t728 @t412)) % 1.22/1.42 (define @t776 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t161 @t727)) % 1.22/1.42 (define @t777 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t734 @t426)) % 1.22/1.42 (define @t778 () (@var "V_nat_H_2" $$unsorted)) % 1.22/1.42 (define @t779 () (@var "V_nat_2" $$unsorted)) % 1.22/1.42 (define @t780 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t153 @t761)) % 1.22/1.42 (define @t781 () (@list @t761 @t153)) % 1.22/1.42 (define @t782 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t144)) % 1.22/1.42 (define @t783 () (tptp.hAPP @t654 (tptp.c_Nat_OSuc @t37))) % 1.22/1.42 (define @t784 () (@list @t37 @t145 @t7)) % 1.22/1.42 (define @t785 () (tptp.hAPP @t146 @t658)) % 1.22/1.42 (define @t786 () (tptp.hAPP @t677 @t727)) % 1.22/1.42 (define @t787 () (@var "B_m" $$unsorted)) % 1.22/1.42 (define @t788 () (@var "B_j" $$unsorted)) % 1.22/1.42 (define @t789 () (= @t426 @t730)) % 1.22/1.42 (define @t790 () (= @t424 @t730)) % 1.22/1.42 (define @t791 () (or (and @t789 @t538) (and @t539 @t790))) % 1.22/1.42 (define @t792 () (@list @t412 @t460)) % 1.22/1.42 (define @t793 () (@list @t161 @t460)) % 1.22/1.42 (define @t794 () (tptp.hAPP @t675 @t727)) % 1.22/1.42 (define @t795 () (tptp.c_Nat_OSuc @t730)) % 1.22/1.42 (define @t796 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t730 @t161)) % 1.22/1.42 (define @t797 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t730 @t412)) % 1.22/1.42 (define @t798 () (tptp.c_Nat_OSuc @t508)) % 1.22/1.42 (define @t799 () (tptp.c_Polynomial_Odegree @t7 @t20)) % 1.22/1.42 (define @t800 () (=> @t524 (= @t799 @t798))) % 1.22/1.42 (define @t801 () (= (tptp.hAPP @t649 @t647) @t42)) % 1.22/1.42 (define @t802 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t647)) % 1.22/1.42 (define @t803 () (@list @t18 @t412 @t7)) % 1.22/1.42 (define @t804 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t144 @t750)) % 1.22/1.42 (define @t805 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t750 @t144)) % 1.22/1.42 (define @t806 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t144 @t750)) % 1.22/1.42 (define @t807 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t460 @t461)) % 1.22/1.42 (define @t808 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t750 @t144)) % 1.22/1.42 (define @t809 () (@var "V_z_H" $$unsorted)) % 1.22/1.42 (define @t810 () (@var "V_w_H" $$unsorted)) % 1.22/1.42 (define @t811 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t164 @t101)) % 1.22/1.42 (define @t812 () (@list @t101 @t164)) % 1.22/1.42 (define @t813 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t164 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t101 @t735))) % 1.22/1.42 (define @t814 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t735 @t144)) % 1.22/1.42 (define @t815 () (@list @t101)) % 1.22/1.42 (define @t816 () (tptp.hAPP @t692 @t12)) % 1.22/1.42 (define @t817 () (= @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t168 (tptp.hAPP @t816 @t37)))) % 1.22/1.42 (define @t818 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t736 @t12)) % 1.22/1.42 (define @t819 () (@list @t37 @t168 @t12)) % 1.22/1.42 (define @t820 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 @t168)) % 1.22/1.42 (define @t821 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t736 @t181)) % 1.22/1.42 (define @t822 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t215 @t181)) % 1.22/1.42 (define @t823 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t692 @t181) @t217) @t215)) % 1.22/1.42 (define @t824 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 @t823)) % 1.22/1.42 (define @t825 () (@list @t215 @t217 @t181)) % 1.22/1.42 (define @t826 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 @t215)) % 1.22/1.42 (define @t827 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t823 @t736)) % 1.22/1.42 (define @t828 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t217 @t37)) % 1.22/1.42 (define @t829 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t168 @t32)) % 1.22/1.42 (define @t830 () (tptp.hAPP @t692 @t32)) % 1.22/1.42 (define @t831 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t830 @t37) @t168)) % 1.22/1.42 (define @t832 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t830 @t217) @t215) @t831)) % 1.22/1.42 (define @t833 () (@list @t168 @t37 @t215 @t217 @t32)) % 1.22/1.42 (define @t834 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t37 @t217)) % 1.22/1.42 (define @t835 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t181 @t32)) % 1.22/1.42 (define @t836 () (= @t831 @t823)) % 1.22/1.42 (define @t837 () (@list @t215 @t217 @t181 @t168 @t37 @t32)) % 1.22/1.42 (define @t838 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 @t145)) % 1.22/1.42 (define @t839 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 @t147)) % 1.22/1.42 (define @t840 () (tptp.c_Polynomial_Opoly__gcd @t7 @t145 @t147)) % 1.22/1.42 (define @t841 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t840) (tptp.c_Polynomial_Odegree @t7 @t840))) % 1.22/1.42 (define @t842 () (= @t147 @t9)) % 1.22/1.42 (define @t843 () (and (= @t145 @t9) @t842)) % 1.22/1.42 (define @t844 () (not @t843)) % 1.22/1.42 (define @t845 () (tptp.c_Polynomial_Opoly__gcd @t44 @t69 @t163)) % 1.22/1.42 (define @t846 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t145)) % 1.22/1.42 (define @t847 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t147)) % 1.22/1.42 (define @t848 () (tptp.c_Polynomial_Opoly__gcd @t7 @t12 @t32)) % 1.22/1.42 (define @t849 () (tptp.c_Polynomial_Opoly__gcd @t7 @t12 (tptp.c_Polynomial_Opoly__gcd @t7 @t32 @t25))) % 1.22/1.42 (define @t850 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t114) (tptp.c_Polynomial_Odegree @t7 @t114))) % 1.22/1.42 (define @t851 () (tptp.c_Polynomial_Odegree @t7 @t145)) % 1.22/1.42 (define @t852 () (tptp.c_Polynomial_Osmult @t7 (tptp.c_Rings_Oinverse__class_Oinverse @t7 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t145) @t851)) @t145)) % 1.22/1.42 (define @t853 () (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t12)) % 1.22/1.42 (define @t854 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t678) (tptp.hAPP (tptp.hAPP @t653 @t853) @t412))) % 1.22/1.42 (define @t855 () (tptp.class_Rings_Odivision__ring__inverse__zero @t7)) % 1.22/1.42 (define @t856 () (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t32)) % 1.22/1.42 (define @t857 () (= @t853 @t856)) % 1.22/1.42 (define @t858 () (tptp.c_Rings_Oinverse__class_Oinverse @t44 @t50)) % 1.22/1.42 (define @t859 () (tptp.class_Rings_Odivision__ring__inverse__zero @t44)) % 1.22/1.42 (define @t860 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t853) @t12)) % 1.22/1.42 (define @t861 () (tptp.class_Rings_Odivision__ring @t7)) % 1.22/1.42 (define @t862 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t603) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t853))) % 1.22/1.42 (define @t863 () (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t122)) % 1.22/1.42 (define @t864 () (= @t853 @t42)) % 1.22/1.42 (define @t865 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t42) @t42)) % 1.22/1.42 (define @t866 () (tptp.hAPP @t118 @t853)) % 1.22/1.42 (define @t867 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t853 @t856)) % 1.22/1.42 (define @t868 () (=> @t208 (= (tptp.hAPP @t866 @t12) @t417))) % 1.22/1.42 (define @t869 () (tptp.c_Polynomial_Osmult @t7 @t12 @t147)) % 1.22/1.42 (define @t870 () (tptp.class_Fields_Olinordered__field @t7)) % 1.22/1.42 (define @t871 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t69 @t49)) % 1.22/1.42 (define @t872 () (tptp.c_Rings_Oinverse__class_Oinverse @t44 @t69)) % 1.22/1.42 (define @t873 () (tptp.class_Fields_Olinordered__field__inverse__zero @t44)) % 1.22/1.42 (define @t874 () (tptp.class_Fields_Ofield__inverse__zero @t7)) % 1.22/1.42 (define @t875 () (tptp.c_Orderings_Oord__class_Oless @t7 @t42 @t853)) % 1.22/1.42 (define @t876 () (tptp.c_Orderings_Oord__class_Oless @t7 @t853 @t42)) % 1.22/1.42 (define @t877 () (tptp.c_Orderings_Oord__class_Oless @t7 @t856 @t853)) % 1.22/1.42 (define @t878 () (tptp.c_Orderings_Oord__class_Oless @t7 @t853 @t856)) % 1.22/1.42 (define @t879 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t853 @t856)) % 1.22/1.42 (define @t880 () (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t856 @t853)) % 1.22/1.42 (define @t881 () (tptp.c_Orderings_Oord__class_Oless @t44 @t49 @t69)) % 1.22/1.42 (define @t882 () (tptp.c_Divides_Odiv__class_Omod @t8 @t145 @t147)) % 1.22/1.42 (define @t883 () (not @t842)) % 1.22/1.42 (define @t884 () (=> @t883 (= @t840 (tptp.c_Polynomial_Opoly__gcd @t7 @t147 @t882)))) % 1.22/1.42 (define @t885 () (@var "B_z" $$unsorted)) % 1.22/1.42 (define @t886 () (tptp.class_Divides_Osemiring__div @t7)) % 1.22/1.42 (define @t887 () (tptp.c_Divides_Odiv__class_Omod @t7 @t12 @t32)) % 1.22/1.42 (define @t888 () (tptp.class_Divides_Osemiring__div @t44)) % 1.22/1.42 (define @t889 () (tptp.c_Divides_Odiv__class_Omod @t7 @t603 @t32)) % 1.22/1.42 (define @t890 () (tptp.class_Divides_Oring__div @t7)) % 1.22/1.42 (define @t891 () (tptp.c_Divides_Odiv__class_Omod @t7 @t35 @t25)) % 1.22/1.42 (define @t892 () (tptp.c_Divides_Odiv__class_Omod @t7 @t32 @t25)) % 1.22/1.42 (define @t893 () (= @t892 (tptp.c_Divides_Odiv__class_Omod @t7 @t181 @t25))) % 1.22/1.42 (define @t894 () (tptp.c_Divides_Odiv__class_Omod @t7 @t12 @t25)) % 1.22/1.42 (define @t895 () (= @t894 (tptp.c_Divides_Odiv__class_Omod @t7 @t191 @t25))) % 1.22/1.42 (define @t896 () (@list @t181 @t32 @t191 @t25 @t12 @t7)) % 1.22/1.42 (define @t897 () (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t894 @t32) @t25)) % 1.22/1.42 (define @t898 () (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t892) @t25)) % 1.22/1.42 (define @t899 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t306 @t161)) % 1.22/1.42 (define @t900 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t306 @t412)) % 1.22/1.42 (define @t901 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t306 (tptp.c_Divides_Odiv__class_Omod @t7 @t161 @t412))) % 1.22/1.42 (define @t902 () (@list @t412 @t161 @t306 @t7)) % 1.22/1.42 (define @t903 () (tptp.c_Divides_Odiv__class_Omod @t7 @t122 @t25)) % 1.22/1.42 (define @t904 () (tptp.hAPP @t118 @t894)) % 1.22/1.42 (define @t905 () (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.hAPP @t904 @t32) @t25)) % 1.22/1.42 (define @t906 () (@list @t147 @t145 @t12 @t7)) % 1.22/1.42 (define @t907 () (tptp.c_Polynomial_Odegree @t7 @t147)) % 1.22/1.42 (define @t908 () (@var "B_q" $$unsorted)) % 1.22/1.42 (define @t909 () (@list @t908)) % 1.22/1.42 (define @t910 () (@list @t153 @t426)) % 1.22/1.42 (define @t911 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t161 @t412)) % 1.22/1.42 (define @t912 () (tptp.c_Nat_OSuc @t911)) % 1.22/1.42 (define @t913 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t728 @t412)) % 1.22/1.42 (define @t914 () (= @t912 @t412)) % 1.22/1.42 (define @t915 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t561 @t161)) % 1.22/1.42 (define @t916 () (@list @t161 @t412 @t306)) % 1.22/1.42 (define @t917 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t12)) % 1.22/1.42 (define @t918 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t32)) % 1.22/1.42 (define @t919 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t12 @t32)) % 1.22/1.42 (define @t920 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t145 @t161)) % 1.22/1.42 (define @t921 () (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t306 @t472) @t736))) % 1.22/1.42 (define @t922 () (@list @t472 @t306)) % 1.22/1.42 (define @t923 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t161 @t412)) % 1.22/1.42 (define @t924 () (= @t911 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t923 @t412))) % 1.22/1.42 (define @t925 () (=> @t459 (= @t911 @t161))) % 1.22/1.42 (define @t926 () (=> @t767 @t924)) % 1.22/1.42 (define @t927 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t32 @t919)) % 1.22/1.42 (define @t928 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t32 @t736)) % 1.22/1.42 (define @t929 () (@list @t12 @t32)) % 1.22/1.42 (define @t930 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t32)) % 1.22/1.42 (define @t931 () (tptp.c_Divides_Odiv__class_Omod @t7 @t930 @t25)) % 1.22/1.42 (define @t932 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t161 @t412)) % 1.22/1.42 (define @t933 () (@var "V_f" $$unsorted)) % 1.22/1.42 (define @t934 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t816 @t32) @t25)) % 1.22/1.42 (define @t935 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t816 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t32 @t25)) @t25)) % 1.22/1.42 (define @t936 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t32 @t12)) % 1.22/1.42 (define @t937 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t472 @t161)) % 1.22/1.42 (define @t938 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t472 @t412)) % 1.22/1.42 (define @t939 () (@list @t472 @t412 @t161)) % 1.22/1.42 (define @t940 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t424 @t483)) % 1.22/1.42 (define @t941 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t426 @t483)) % 1.22/1.42 (define @t942 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t483 @t424)) % 1.22/1.42 (define @t943 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t483 @t426)) % 1.22/1.42 (define @t944 () (= @t923 @t373)) % 1.22/1.42 (define @t945 () (tptp.c_Groups_Ominus__class_Ominus @t44 @t50 @t81)) % 1.22/1.42 (define @t946 () (= @t945 (tptp.c_Groups_Ominus__class_Ominus @t44 @t80 @t153))) % 1.22/1.42 (define @t947 () (= @t945 @t49)) % 1.22/1.42 (define @t948 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t460 @t461) @t306)) % 1.22/1.42 (define @t949 () (@var "V_e_2" $$unsorted)) % 1.22/1.42 (define @t950 () (tptp.c_Groups_Oplus__class_Oplus @t44 (tptp.hAPP (tptp.hAPP @t150 @t945) @t949) @t80)) % 1.22/1.42 (define @t951 () (tptp.c_Groups_Oplus__class_Oplus @t44 (tptp.hAPP @t151 @t949) @t153)) % 1.22/1.42 (define @t952 () (tptp.c_Groups_Oplus__class_Oplus @t44 (tptp.hAPP @t154 @t949) @t80)) % 1.22/1.42 (define @t953 () (= @t952 @t951)) % 1.22/1.42 (define @t954 () (tptp.class_Rings_Oring @t44)) % 1.22/1.42 (define @t955 () (@list @t153 @t81 @t80 @t949 @t50 @t44)) % 1.22/1.42 (define @t956 () (tptp.c_Groups_Oplus__class_Oplus @t44 (tptp.hAPP (tptp.hAPP @t150 (tptp.c_Groups_Ominus__class_Ominus @t44 @t81 @t50)) @t949) @t153)) % 1.22/1.42 (define @t957 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t147 @t32)) % 1.22/1.42 (define @t958 () (tptp.hAPP @t118 (tptp.c_Groups_Ominus__class_Ominus @t7 @t145 @t12))) % 1.22/1.42 (define @t959 () (tptp.hAPP @t958 @t32)) % 1.22/1.42 (define @t960 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t148 @t122)) % 1.22/1.42 (define @t961 () (@list @t32 @t12 @t147 @t145 @t7)) % 1.22/1.42 (define @t962 () (tptp.c_Groups_Ominus__class_Ominus @t7 @t145 @t147)) % 1.22/1.42 (define @t963 () (= @t930 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t625))) % 1.22/1.42 (define @t964 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t728 @t412)) % 1.22/1.42 (define @t965 () (@var "V_j_2" $$unsorted)) % 1.22/1.42 (define @t966 () (@var "V_i_2" $$unsorted)) % 1.22/1.42 (define @t967 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t966 @t483)) % 1.22/1.42 (define @t968 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t965 @t483)) % 1.22/1.42 (define @t969 () (@list @t483 @t965 @t966)) % 1.22/1.42 (define @t970 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t412 @t923) @t161)) % 1.22/1.42 (define @t971 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t306 @t161)) % 1.22/1.42 (define @t972 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t306 @t923)) % 1.22/1.42 (define @t973 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t461 @t306)) % 1.22/1.42 (define @t974 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t306 @t461)) % 1.22/1.42 (define @t975 () (@list @t460 @t461 @t306)) % 1.22/1.42 (define @t976 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t470 @t306)) % 1.22/1.42 (define @t977 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t460 @t973)) % 1.22/1.42 (define @t978 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t492 @t306)) % 1.22/1.42 (define @t979 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t973 @t460)) % 1.22/1.42 (define @t980 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t18 @t37)) % 1.22/1.42 (define @t981 () (@var "V_B_2" $$unsorted)) % 1.22/1.42 (define @t982 () (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t952 @t951)) % 1.22/1.42 (define @t983 () (tptp.class_Rings_Oordered__ring @t44)) % 1.22/1.42 (define @t984 () (tptp.c_Orderings_Oord__class_Oless @t44 @t952 @t951)) % 1.22/1.42 (define @t985 () (@var "V_D_2" $$unsorted)) % 1.22/1.42 (define @t986 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t919 @t736)) % 1.22/1.42 (define @t987 () (@var "T" $$unsorted)) % 1.22/1.42 (define @t988 () (tptp.class_Rings_Ocomm__semiring__0 @t987)) % 1.22/1.42 (define @t989 () (@list @t987)) % 1.22/1.42 (define @t990 () (tptp.class_Groups_Ozero @t987)) % 1.22/1.42 (define @t991 () (forall @t989 (=> @t988 @t990))) % 1.22/1.42 (define @t992 () (@var "T_1" $$unsorted)) % 1.22/1.42 (define @t993 () (tptp.tc_Polynomial_Opoly @t992)) % 1.22/1.42 (define @t994 () (tptp.class_Groups_Ocancel__comm__monoid__add @t992)) % 1.22/1.42 (define @t995 () (@list @t992)) % 1.22/1.42 (define @t996 () (@var "T_2" $$unsorted)) % 1.22/1.42 (define @t997 () (tptp.tc_fun @t996 @t992)) % 1.22/1.42 (define @t998 () (@list @t996 @t992)) % 1.22/1.42 (define @t999 () (tptp.class_Rings_Oidom @t992)) % 1.22/1.42 (define @t1000 () (tptp.class_Rings_Olinordered__idom @t992)) % 1.22/1.42 (define @t1001 () (tptp.class_Rings_Ocomm__semiring__0 @t992)) % 1.22/1.42 (define @t1002 () (tptp.class_Rings_Ocomm__semiring__1 @t992)) % 1.22/1.42 (define @t1003 () (tptp.class_Groups_Ocomm__monoid__add @t992)) % 1.22/1.42 (define @t1004 () (tptp.class_Fields_Ofield @t992)) % 1.22/1.42 (define @t1005 () (tptp.class_Groups_Oab__group__add @t992)) % 1.22/1.42 (define @t1006 () (tptp.class_Rings_Ocomm__ring__1 @t992)) % 1.22/1.42 (define @t1007 () (tptp.class_Rings_Ocomm__ring @t992)) % 1.22/1.42 (define @t1008 () (tptp.hBOOL (tptp.c_fequal @t69 @t163))) % 1.22/1.42 (define @t1009 () (tptp.tc_Polynomial_Opoly tptp.t_a)) % 1.22/1.42 (define @t1010 () (tptp.c_Groups_Ozero__class_Ozero @t1009)) % 1.22/1.42 (define @t1011 () (= tptp.v_p @t1010)) % 1.22/1.42 (define @t1012 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly tptp.t_a tptp.v_p tptp.v_h)) % 1.22/1.42 (define @t1013 () (= @t1012 @t1010)) % 1.22/1.42 (define @t1014 () (=> @t1013 @t1011)) % 1.22/1.42 (define @t1015 () (tptp.c_Polynomial_OpCons tptp.t_a tptp.v_a @t1012)) % 1.22/1.42 (define @t1016 () (tptp.c_Groups_Oplus__class_Oplus @t1009 (tptp.c_Polynomial_Osmult tptp.t_a tptp.v_h @t1012) @t1015)) % 1.22/1.42 (define @t1017 () (= tptp.v_a (tptp.c_Groups_Ozero__class_Ozero tptp.t_a))) % 1.22/1.42 (define @t1018 () (tptp.class_Rings_Ocomm__semiring__0 tptp.t_a)) % 1.22/1.42 (define @t1019 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly tptp.t_a (tptp.c_Polynomial_OpCons tptp.t_a tptp.v_a tptp.v_p) tptp.v_h)) % 1.22/1.42 (define @t1020 () (not @t1018)) % 1.22/1.42 (define @t1021 () (or @t1020 (= @t1019 @t1016))) % 1.22/1.42 (define @t1022 () (not @t11)) % 1.22/1.42 (define @t1023 () (forall @t22 (or @t1022 @t21))) % 1.22/1.42 (define @t1024 () (= @t1016 @t1019)) % 1.22/1.42 (define @t1025 () (or @t1020 @t1024)) % 1.22/1.42 (define @t1026 () (@list false)) % 1.22/1.42 (define @t1027 () (@list false false)) % 1.22/1.42 (define @t1028 () (= @t9 @t18)) % 1.22/1.42 (define @t1029 () (= @t9 @t27)) % 1.22/1.42 (define @t1030 () (not @t1029)) % 1.22/1.42 (define @t1031 () (=> @t1029 @t1028)) % 1.22/1.42 (define @t1032 () (= @t1010 @t1012)) % 1.22/1.42 (define @t1033 () (= @t1010 @t1016)) % 1.22/1.42 (define @t1034 () (not @t1033)) % 1.22/1.42 (define @t1035 () (or @t1020 @t1034 @t1032)) % 1.22/1.42 (define @t1036 () (not @t1032)) % 1.22/1.42 (define @t1037 () (= @t46 @t58)) % 1.22/1.42 (define @t1038 () (= @t57 @t1037)) % 1.22/1.42 (define @t1039 () (and @t1017 @t1032)) % 1.22/1.42 (define @t1040 () (= @t1010 @t1015)) % 1.22/1.42 (define @t1041 () (and @t1017 @t1013)) % 1.22/1.42 (define @t1042 () (= @t1041 @t1040)) % 1.22/1.42 (define @t1043 () (tptp.class_Groups_Ozero tptp.t_a)) % 1.22/1.42 (define @t1044 () (not @t1043)) % 1.22/1.42 (define @t1045 () (or @t1044 @t1042)) % 1.22/1.42 (define @t1046 () (forall @t54 (or (not @t60) @t1038))) % 1.22/1.42 (define @t1047 () (= @t1040 @t1039)) % 1.22/1.42 (define @t1048 () (or @t1044 @t1047)) % 1.22/1.42 (define @t1049 () (or @t1020 @t1043)) % 1.22/1.42 (define @t1050 () (not @t1017)) % 1.22/1.42 (define @t1051 () (not @t1011)) % 1.22/1.42 (define @t1052 () (not @t1039)) % 1.22/1.42 (define @t1053 () (not @t1040)) % 1.22/1.42 (define @t1054 () (= @t13 @t14)) % 1.22/1.42 (define @t1055 () (tptp.c_Polynomial_OpCons tptp.t_a tptp.v_a @t1010)) % 1.22/1.42 (define @t1056 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly tptp.t_a @t1055 tptp.v_h)) % 1.22/1.42 (define @t1057 () (= @t1055 @t1056)) % 1.22/1.42 (define @t1058 () (or @t1020 @t1057)) % 1.22/1.42 (define @t1059 () (not @t1057)) % 1.22/1.42 (define @t1060 () (not @t1024)) % 1.22/1.42 (define @t1061 () (= @t1056 @t1055)) % 1.22/1.42 (define @t1062 () (not @t1061)) % 1.22/1.42 (define @t1063 () (and @t1057 @t1059)) % 1.22/1.42 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.22/1.42 (assume @p2 (forall (@list @t10 @t7) (=> @t11 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t7 @t9 @t10) @t9)))) % 1.22/1.42 (assume @p3 @t17) % 1.22/1.42 (assume @p4 @t23) % 1.22/1.42 (assume @p5 @t31) % 1.22/1.42 (assume @p6 (forall @t30 (=> @t11 (=> (= @t26 @t20) @t24)))) % 1.22/1.42 (assume @p7 (forall @t36 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t35 @t18) (tptp.c_Groups_Oplus__class_Oplus @t8 @t34 @t33))))) % 1.22/1.42 (assume @p8 (forall @t41 (=> @t40 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t20 @t39) (tptp.c_Polynomial_OpCons @t7 @t35 @t38))))) % 1.22/1.42 (assume @p9 (forall @t43 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t42 @t18) @t9)))) % 1.22/1.42 (assume @p10 (forall @t54 (=> @t53 (= (= @t52 @t46) (or @t51 @t48))))) % 1.22/1.42 (assume @p11 (forall @t56 (=> @t55 (= (tptp.c_Polynomial_OpCons @t7 @t42 @t9) @t9)))) % 1.22/1.42 (assume @p12 @t62) % 1.22/1.42 (assume @p13 (forall @t64 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t38) (tptp.c_Groups_Oplus__class_Oplus @t8 @t34 @t63))))) % 1.22/1.42 (assume @p14 (forall @t65 (=> @t40 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t9 @t37) @t37)))) % 1.22/1.42 (assume @p15 (forall @t43 (=> @t40 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t18 @t9) @t18)))) % 1.22/1.42 (assume @p16 (forall @t66 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t9) @t9)))) % 1.22/1.42 (assume @p17 (forall @t66 (=> @t68 @t67))) % 1.22/1.42 (assume @p18 (forall @t71 (=> @t60 (= (= @t49 @t69) @t70)))) % 1.22/1.42 (assume @p19 (forall @t76 (=> @t75 (=> (= @t74 @t73) @t72)))) % 1.22/1.42 (assume @p20 (forall @t79 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t7) @t78))) % 1.22/1.42 (assume @p21 (forall @t79 (=> @t75 @t78))) % 1.22/1.42 (assume @p22 (forall (@list @t80 @t50 @t81 @t44) (=> @t85 (= (= @t84 @t83) @t82)))) % 1.22/1.42 (assume @p23 (forall (@list @t80 @t81 @t50 @t44) (=> @t85 (= (= @t87 @t86) @t82)))) % 1.22/1.42 (assume @p24 (forall @t79 (=> (tptp.class_Groups_Oab__semigroup__add @t7) @t90))) % 1.22/1.42 (assume @p25 (forall (@list @t91 @t81 @t47 @t50 @t44) (=> @t60 (= (= @t58 (tptp.c_Polynomial_OpCons @t44 @t81 @t91)) (and @t93 @t92))))) % 1.22/1.42 (assume @p26 (forall @t66 (=> @t40 @t94))) % 1.22/1.42 (assume @p27 (forall @t66 (=> @t68 @t94))) % 1.22/1.42 (assume @p28 (forall @t97 (=> @t96 (= (= @t49 @t95) @t51)))) % 1.22/1.42 (assume @p29 (forall @t66 (=> @t40 @t67))) % 1.22/1.42 (assume @p30 (forall @t97 (=> @t96 (= (= @t95 @t49) @t51)))) % 1.22/1.42 (assume @p31 (forall @t99 (=> @t98 (= (= @t81 @t84) @t51)))) % 1.22/1.42 (assume @p32 (forall @t66 (=> @t100 @t94))) % 1.22/1.42 (assume @p33 (forall @t66 (=> @t100 @t67))) % 1.22/1.42 (assume @p34 (forall (@list @t47 @t50 @t44 @t101 @t2 @t102) (=> @t108 (=> @t107 (= @t105 (tptp.hAPP @t104 @t103)))))) % 1.22/1.42 (assume @p35 (forall (@list @t47 @t50 @t2 @t101 @t44 @t102) (=> @t108 (= @t105 (tptp.hAPP @t104 (tptp.c_If @t44 (tptp.c_fequal @t47 @t106) @t101 @t103)))))) % 1.22/1.42 (assume @p36 (forall @t64 (=> @t11 (= (tptp.hAPP (tptp.hAPP @t109 @t20) @t37) (tptp.c_Groups_Oplus__class_Oplus @t8 @t63 @t112))))) % 1.22/1.42 (assume @p37 (forall @t113 (=> @t11 (= (tptp.hAPP @t110 (tptp.c_Polynomial_OpCons @t7 @t12 @t37)) (tptp.c_Groups_Oplus__class_Oplus @t8 @t34 @t112))))) % 1.22/1.42 (assume @p38 (forall (@list @t44 @t101 @t2 @t102) (=> @t108 (=> @t107 (= (tptp.c_Polynomial_Opoly__rec @t44 @t102 @t101 @t2 @t106) @t101))))) % 1.22/1.42 (assume @p39 (forall @t117 (=> @t100 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t35 @t116) (tptp.c_Groups_Oplus__class_Oplus @t7 @t77 @t115))))) % 1.22/1.42 (assume @p40 (forall @t79 (=> @t100 (= @t89 (tptp.c_Groups_Oplus__class_Oplus @t7 @t77 @t32))))) % 1.22/1.42 (assume @p41 (forall @t79 (=> @t100 @t90))) % 1.22/1.42 (assume @p42 (forall @t79 (=> (tptp.class_Groups_Oab__semigroup__mult @t7) (= (tptp.hAPP (tptp.hAPP @t118 @t122) @t25) (tptp.hAPP @t121 @t120))))) % 1.22/1.42 (assume @p43 (forall @t134 (=> @t100 (= @t133 (tptp.hAPP @t129 (tptp.hAPP @t125 @t123)))))) % 1.22/1.42 (assume @p44 (forall @t134 (=> @t100 (= @t133 (tptp.hAPP @t130 (tptp.hAPP @t132 @t123)))))) % 1.22/1.42 (assume @p45 (forall @t134 (=> @t100 (= @t133 (tptp.hAPP @t128 (tptp.hAPP @t125 @t131)))))) % 1.22/1.42 (assume @p46 (forall @t136 (=> @t100 (= @t135 (tptp.hAPP @t129 @t124))))) % 1.22/1.42 (assume @p47 (forall @t136 (=> @t100 (= @t135 (tptp.hAPP @t128 (tptp.hAPP @t125 @t126)))))) % 1.22/1.42 (assume @p48 (forall @t138 (=> @t100 (= @t137 (tptp.hAPP @t129 @t123))))) % 1.22/1.42 (assume @p49 (forall @t138 (=> @t100 (= @t137 (tptp.hAPP @t130 (tptp.hAPP @t128 @t123)))))) % 1.22/1.42 (assume @p50 (forall @t140 (=> @t100 (= @t122 @t139)))) % 1.22/1.42 (assume @p51 (forall @t66 (=> @t100 @t142))) % 1.22/1.42 (assume @p52 (forall @t66 (=> @t100 @t143))) % 1.22/1.42 (assume @p53 (forall @t149 (=> @t100 (= (tptp.hAPP @t146 (tptp.c_Groups_Oplus__class_Oplus @t7 @t147 @t144)) (tptp.c_Groups_Oplus__class_Oplus @t7 @t148 (tptp.hAPP @t146 @t144)))))) % 1.22/1.42 (assume @p54 (forall @t157 (=> @t98 (= (and (not @t93) (not @t156)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t44 @t155 (tptp.hAPP @t151 @t153)) (tptp.c_Groups_Oplus__class_Oplus @t44 (tptp.hAPP @t154 @t153) @t152))))))) % 1.22/1.42 (assume @p55 (forall @t79 (=> @t100 @t160))) % 1.22/1.42 (assume @p56 (forall (@list @t32 @t161 @t12 @t7) (=> @t100 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t162 (tptp.hAPP @t119 @t161)) (tptp.hAPP @t159 @t161))))) % 1.22/1.42 (assume @p57 (forall (@list @t101 @t69 @t163 @t164 @t44) (=> @t98 (= (= (tptp.c_Groups_Oplus__class_Oplus @t44 (tptp.hAPP @t166 @t163) (tptp.hAPP @t165 @t101)) (tptp.c_Groups_Oplus__class_Oplus @t44 (tptp.hAPP @t166 @t101) (tptp.hAPP @t165 @t163))) (or (= @t164 @t69) (= @t163 @t101)))))) % 1.22/1.42 (assume @p58 (forall @t65 (=> @t11 (= (tptp.hAPP (tptp.hAPP @t109 @t9) @t37) @t9)))) % 1.22/1.42 (assume @p59 (forall @t43 (=> @t11 (= (tptp.hAPP @t110 @t9) @t9)))) % 1.22/1.42 (assume @p60 (forall @t36 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t33) (tptp.c_Polynomial_Osmult @t7 @t122 @t18))))) % 1.22/1.42 (assume @p61 (forall @t113 (=> @t11 (= (tptp.hAPP @t110 @t63) @t167)))) % 1.22/1.42 (assume @p62 (forall @t64 (=> @t11 (= (tptp.hAPP (tptp.hAPP @t109 @t34) @t37) @t167)))) % 1.22/1.42 (assume @p63 (forall (@list @t114 @t25 @t32 @t12 @t168 @t7) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t7) (=> (not (= @t168 @t42)) (=> (and @t170 (not (= @t25 @t114))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 (tptp.hAPP @t169 @t25)) (tptp.c_Groups_Oplus__class_Oplus @t7 @t32 (tptp.hAPP @t169 @t114))))))))) % 1.22/1.42 (assume @p64 (forall (@list @t168 @t37 @t18 @t7) (=> @t11 (= (tptp.hAPP (tptp.hAPP @t109 @t38) @t168) (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t110 @t168) (tptp.hAPP @t171 @t168)))))) % 1.22/1.42 (assume @p65 (forall @t36 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 (tptp.c_Polynomial_OpCons @t7 @t32 @t18)) (tptp.c_Polynomial_OpCons @t7 @t122 @t34))))) % 1.22/1.42 (assume @p66 (forall (@list @t25 @t12 @t7) (=> @t100 (= @t77 @t73)))) % 1.22/1.42 (assume @p67 (forall @t173 (=> @t100 (= @t172 (tptp.c_Groups_Oplus__class_Oplus @t7 @t25 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t114)))))) % 1.22/1.42 (assume @p68 (forall @t173 (=> @t100 (= @t172 (tptp.c_Groups_Oplus__class_Oplus @t7 @t77 @t114))))) % 1.22/1.42 (assume @p69 (forall @t64 (=> @t11 (= (tptp.c_Polynomial_Opcompose @t7 @t20 @t37) (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 (tptp.hAPP @t171 @t174)))))) % 1.22/1.42 (assume @p70 (forall @t180 (=> @t179 (= (= @t178 @t49) @t176)))) % 1.22/1.42 (assume @p71 (forall @t184 (=> @t183 (= (tptp.hAPP @t121 (tptp.c_Groups_Oplus__class_Oplus @t7 @t32 @t181)) (tptp.c_Groups_Oplus__class_Oplus @t7 @t122 @t182))))) % 1.22/1.42 (assume @p72 (forall @t190 (=> @t183 (= (tptp.hAPP @t186 @t189) (tptp.c_Groups_Oplus__class_Oplus @t7 @t188 @t187))))) % 1.22/1.42 (assume @p73 (forall @t79 (=> (tptp.class_Rings_Ocomm__semiring @t7) @t160))) % 1.22/1.42 (assume @p74 (forall @t194 (=> @t183 (= (tptp.hAPP (tptp.hAPP @t118 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t191)) @t32) (tptp.c_Groups_Oplus__class_Oplus @t7 @t122 @t193))))) % 1.22/1.42 (assume @p75 (forall @t199 (=> @t183 (= (tptp.hAPP (tptp.hAPP @t118 @t189) @t195) (tptp.c_Groups_Oplus__class_Oplus @t7 @t198 @t197))))) % 1.22/1.42 (assume @p76 (forall (@list @t25 @t32 @t200 @t12 @t7) (=> (tptp.class_Rings_Osemiring @t7) (= (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t121 @t200) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t119 @t200) @t25)) (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t159 @t200) @t25))))) % 1.22/1.42 (assume @p77 (forall @t66 (=> @t201 @t142))) % 1.22/1.42 (assume @p78 (forall (@list @t32 @t7) (=> @t183 (= (tptp.hAPP @t141 @t32) @t42)))) % 1.22/1.42 (assume @p79 (forall @t202 (=> @t183 (= (tptp.hAPP @t141 @t147) @t42)))) % 1.22/1.42 (assume @p80 (forall @t65 (=> @t11 (= (tptp.c_Polynomial_Opcompose @t7 @t9 @t37) @t9)))) % 1.22/1.42 (assume @p81 (forall @t140 (=> @t206 (=> @t205 (or @t204 @t203))))) % 1.22/1.42 (assume @p82 (forall @t140 (=> @t206 (=> @t208 (=> @t207 (not @t205)))))) % 1.22/1.42 (assume @p83 (forall @t210 (=> (tptp.class_Rings_Oring__no__zero__divisors @t44) (= (= @t209 @t49) (or @t51 (= @t81 @t49)))))) % 1.22/1.42 (assume @p84 (forall @t211 (=> @t183 (= (tptp.hAPP @t146 @t42) @t42)))) % 1.22/1.42 (assume @p85 (forall @t66 (=> @t183 @t143))) % 1.22/1.42 (assume @p86 (forall @t66 (=> @t201 @t143))) % 1.22/1.42 (assume @p87 (forall @t214 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t20) @t145) (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 (tptp.hAPP @t146 @t213)))))) % 1.22/1.42 (assume @p88 (forall (@list @t215 @t217 @t144 @t168 @t37 @t147 @t145 @t7) (=> @t219 (=> @t218 (=> (tptp.c_Polynomial_Opdivmod__rel @t7 @t37 @t144 @t217 @t215) (tptp.c_Polynomial_Opdivmod__rel @t7 @t145 (tptp.hAPP @t216 @t144) @t217 (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t216 @t215) @t168))))))) % 1.22/1.42 (assume @p89 (forall @t66 (=> @t221 (= @t220 @t12)))) % 1.22/1.42 (assume @p90 (forall @t211 (=> @t221 (= @t222 @t145)))) % 1.22/1.42 (assume @p91 (forall @t140 (=> @t221 (= (tptp.hAPP @t121 @t122) @t122)))) % 1.22/1.42 (assume @p92 (forall @t180 (=> @t179 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t178 @t49) @t176)))) % 1.22/1.42 (assume @p93 (forall @t225 (=> @t224 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t223)))) % 1.22/1.42 (assume @p94 (forall @t230 (=> @t229 (= (tptp.c_Rings_Odvd__class_Odvd @t45 @t52 @t91) (and (=> @t51 @t228) (=> @t227 @t226)))))) % 1.22/1.42 (assume @p95 (forall @t180 (=> @t179 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t49 @t178) (or (not @t70) (not @t175)))))) % 1.22/1.42 (assume @p96 (forall @t225 (=> @t224 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t223 @t42))))) % 1.22/1.42 (assume @p97 (forall @t66 (=> @t100 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t42)))) % 1.22/1.42 (assume @p98 (forall @t66 (=> @t100 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t12)))) % 1.22/1.42 (assume @p99 (forall @t225 (=> @t237 @t236))) % 1.22/1.42 (assume @p100 (forall @t79 (=> @t100 (=> @t240 (=> @t239 @t238))))) % 1.22/1.42 (assume @p101 (forall @t117 (=> @t244 (=> @t243 (=> @t242 @t241))))) % 1.22/1.42 (assume @p102 (forall @t117 (=> @t244 (=> @t247 @t246)))) % 1.22/1.42 (assume @p103 (forall @t250 (=> @t249 (= (= @t248 (tptp.c_Polynomial_Opoly @t44 @t91)) @t92)))) % 1.22/1.42 (assume @p104 (forall @t258 (=> @t219 (=> @t257 (=> @t255 @t253))))) % 1.22/1.42 (assume @p105 (forall @t258 (=> @t219 (=> @t257 (=> @t255 @t259))))) % 1.22/1.42 (assume @p106 (forall @t258 (=> @t219 (=> @t257 (=> @t255 (and @t253 @t259)))))) % 1.22/1.42 (assume @p107 (forall @t266 (=> @t179 (=> @t265 (= @t264 @t260))))) % 1.22/1.42 (assume @p108 (forall @t266 (=> @t179 (=> @t267 (= @t264 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t81 @t50)))))) % 1.22/1.42 (assume @p109 (forall @t117 (=> @t273 (=> @t243 (=> @t245 (=> @t272 @t271)))))) % 1.22/1.42 (assume @p110 (forall @t117 (=> @t273 (=> @t243 (=> @t245 (=> @t274 @t271)))))) % 1.22/1.42 (assume @p111 (forall @t117 (=> @t273 (=> @t243 (=> @t242 (=> @t274 (=> @t275 @t269))))))) % 1.22/1.42 (assume @p112 (forall @t117 (=> @t273 (=> @t247 (=> @t245 (=> @t276 @t271)))))) % 1.22/1.42 (assume @p113 (forall @t281 (=> @t280 @t279))) % 1.22/1.42 (assume @p114 (forall @t281 (=> @t273 @t279))) % 1.22/1.42 (assume @p115 (forall @t287 (=> @t280 @t286))) % 1.22/1.42 (assume @p116 (forall @t287 (=> @t273 @t286))) % 1.22/1.42 (assume @p117 (forall @t281 (=> @t273 (=> @t289 @t288)))) % 1.22/1.42 (assume @p118 (forall @t287 (=> @t273 (=> @t290 @t288)))) % 1.22/1.42 (assume @p119 (forall @t140 (=> @t293 (=> @t276 (=> @t292 @t291))))) % 1.22/1.42 (assume @p120 (forall @t140 (=> @t293 (=> @t274 @t294)))) % 1.22/1.42 (assume @p121 (forall @t79 (=> @t293 (=> @t276 (=> @t296 @t295))))) % 1.22/1.42 (assume @p122 (forall @t79 (=> @t293 (=> @t274 @t298)))) % 1.22/1.42 (assume @p123 (forall @t140 (=> @t293 (=> @t301 (=> @t300 @t299))))) % 1.22/1.42 (assume @p124 (forall @t140 (=> @t293 (=> @t304 @t303)))) % 1.22/1.42 (assume @p125 (forall @t66 (=> @t100 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t42 @t12) @t204)))) % 1.22/1.42 (assume @p126 (forall @t79 (=> @t100 (=> @t305 @t239)))) % 1.22/1.42 (assume @p127 (forall @t79 (=> @t100 (=> @t305 @t238)))) % 1.22/1.42 (assume @p128 (forall (@list @t306 @t32 @t12 @t7) (=> (tptp.class_Rings_Odvd @t7) (=> (= @t12 (tptp.hAPP @t119 @t306)) (tptp.c_Rings_Odvd__class_Odvd @t7 @t32 @t12))))) % 1.22/1.42 (assume @p129 (forall @t117 (=> @t100 (=> @t240 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t25 @t114) (tptp.c_Rings_Odvd__class_Odvd @t7 @t158 @t268)))))) % 1.22/1.42 (assume @p130 (forall @t281 (=> @t100 (=> @t238 @t307)))) % 1.22/1.42 (assume @p131 (forall @t79 (=> @t100 (=> @t240 @t307)))) % 1.22/1.42 (assume @p132 (forall @t140 (=> @t100 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t139)))) % 1.22/1.42 (assume @p133 (forall @t140 (=> @t100 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t122)))) % 1.22/1.42 (assume @p134 (forall @t79 (=> @t100 (=> @t240 (=> @t238 (tptp.c_Rings_Odvd__class_Odvd @t7 @t12 @t88)))))) % 1.22/1.42 (assume @p135 (forall @t311 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t86 @t309) @t308)))) % 1.22/1.42 (assume @p136 (forall @t266 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t83 @t312) @t308)))) % 1.22/1.42 (assume @p137 (forall @t79 (=> @t244 (=> @t243 @t313)))) % 1.22/1.42 (assume @p138 (forall @t79 (=> @t244 (=> @t243 @t315)))) % 1.22/1.42 (assume @p139 (forall @t117 (=> @t244 (=> @t243 @t246)))) % 1.22/1.42 (assume @p140 (forall @t281 (=> @t316 (=> @t313 @t243)))) % 1.22/1.42 (assume @p141 (forall @t287 (=> @t316 (=> @t315 @t243)))) % 1.22/1.42 (assume @p142 (forall @t311 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t86 @t309) @t260)))) % 1.22/1.42 (assume @p143 (forall @t266 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t83 @t312) @t260)))) % 1.22/1.42 (assume @p144 (forall @t79 (=> @t318 (=> @t247 @t317)))) % 1.22/1.42 (assume @p145 (forall @t79 (=> @t318 (=> @t247 @t319)))) % 1.22/1.42 (assume @p146 (forall @t117 (=> @t318 (=> @t247 (=> @t242 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t77 @t115)))))) % 1.22/1.42 (assume @p147 (forall @t281 (=> @t316 (=> @t317 @t247)))) % 1.22/1.42 (assume @p148 (forall @t287 (=> @t316 (=> @t319 @t247)))) % 1.22/1.42 (assume @p149 (forall @t322 (=> @t100 (=> @t321 @t320)))) % 1.22/1.42 (assume @p150 (forall @t64 (=> @t100 (=> @t323 @t321)))) % 1.22/1.42 (assume @p151 (forall @t324 (=> @t249 (= (= @t248 (tptp.c_Polynomial_Opoly @t44 @t46)) @t48)))) % 1.22/1.42 (assume @p152 (forall (@list @t325 @t91 @t163 @t44) (=> @t229 (= (tptp.c_Polynomial_Opdivmod__rel @t44 @t46 @t163 @t91 @t325) (and @t228 @t326))))) % 1.22/1.42 (assume @p153 (forall (@list @t325 @t91 @t69 @t44) (=> @t229 (= (tptp.c_Polynomial_Opdivmod__rel @t44 @t69 @t46 @t91 @t325) (and @t228 (= @t325 @t69)))))) % 1.22/1.42 (assume @p154 (forall @t202 (=> @t219 (tptp.c_Polynomial_Opdivmod__rel @t7 @t9 @t147 @t9 @t9)))) % 1.22/1.42 (assume @p155 (forall @t211 (=> @t219 (tptp.c_Polynomial_Opdivmod__rel @t7 @t145 @t9 @t9 @t145)))) % 1.22/1.42 (assume @p156 (forall (@list @t12 @t168 @t37 @t147 @t145 @t7) (=> @t219 (=> @t218 (tptp.c_Polynomial_Opdivmod__rel @t7 @t327 @t147 @t63 (tptp.c_Polynomial_Osmult @t7 @t12 @t168)))))) % 1.22/1.42 (assume @p157 (forall @t311 (=> @t53 (= (tptp.c_Rings_Odvd__class_Odvd @t44 @t155 @t152) @t329)))) % 1.22/1.42 (assume @p158 (forall @t266 (=> @t53 (= (tptp.c_Rings_Odvd__class_Odvd @t44 @t263 @t262) @t329)))) % 1.22/1.42 (assume @p159 (forall @t331 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t174) @t145) (tptp.hAPP @t212 @t330))))) % 1.22/1.42 (assume @p160 (forall @t230 (=> @t229 (=> @t227 (= (tptp.c_Rings_Odvd__class_Odvd @t45 @t47 (tptp.c_Polynomial_Osmult @t44 @t50 @t91)) @t226))))) % 1.22/1.42 (assume @p161 (forall @t322 (=> @t219 (=> @t321 (=> @t208 @t323))))) % 1.22/1.42 (assume @p162 (forall @t113 (=> @t219 (=> @t320 (=> @t208 @t321))))) % 1.22/1.42 (assume @p163 (forall @t66 (=> @t224 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t220 @t42))))) % 1.22/1.42 (assume @p164 (forall @t311 (=> @t179 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t155 @t152) @t333)))) % 1.22/1.42 (assume @p165 (forall @t266 (=> @t179 (= @t334 @t333)))) % 1.22/1.42 (assume @p166 (forall @t266 (=> @t179 (=> @t265 (= @t334 @t308))))) % 1.22/1.42 (assume @p167 (forall @t140 (=> @t273 (=> @t276 (=> @t272 @t335))))) % 1.22/1.42 (assume @p168 (forall @t140 (=> @t273 (=> @t276 (=> @t302 @t336))))) % 1.22/1.42 (assume @p169 (forall @t140 (=> @t273 (=> @t276 (=> @t302 (tptp.c_Orderings_Oord__class_Oless @t7 @t139 @t42)))))) % 1.22/1.42 (assume @p170 (forall @t140 (=> @t273 (=> @t335 @t337)))) % 1.22/1.42 (assume @p171 (forall @t338 (=> @t273 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t42 @t139) @t337)))) % 1.22/1.42 (assume @p172 (forall @t266 (=> @t179 (=> @t267 (= @t334 @t332))))) % 1.22/1.42 (assume @p173 (forall @t140 (=> @t273 (=> @t301 (=> @t272 @t336))))) % 1.22/1.42 (assume @p174 (forall @t140 (=> @t339 (=> @t301 (=> @t302 @t335))))) % 1.22/1.42 (assume @p175 (forall @t79 (=> @t273 (=> @t243 (=> @t275 @t278))))) % 1.22/1.42 (assume @p176 (forall @t79 (=> @t273 @t340))) % 1.22/1.42 (assume @p177 (forall @t79 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t7) @t340))) % 1.22/1.42 (assume @p178 (forall @t76 (=> @t339 (=> @t342 (=> @t341 @t278))))) % 1.22/1.42 (assume @p179 (forall @t76 (=> @t339 (=> @t342 (=> @t341 @t285))))) % 1.22/1.42 (assume @p180 (forall @t97 (=> @t345 @t344))) % 1.22/1.42 (assume @p181 (forall @t97 (=> @t96 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t49 @t95) @t346)))) % 1.22/1.42 (assume @p182 (forall @t97 (=> @t96 @t344))) % 1.22/1.42 (assume @p183 (forall @t140 (=> @t293 (=> @t276 @t294)))) % 1.22/1.42 (assume @p184 (forall @t140 (=> @t293 (=> @t301 @t303)))) % 1.22/1.42 (assume @p185 (forall @t79 (=> @t347 (=> @t276 @t298)))) % 1.22/1.42 (assume @p186 (forall @t66 (=> @t224 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t220)))) % 1.22/1.42 (assume @p187 (forall @t210 (=> @t179 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t49 @t209) (or (and @t351 @t350) (and @t349 @t348)))))) % 1.22/1.42 (assume @p188 (forall @t210 (=> @t179 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t209 @t49) (or (and @t351 @t348) (and @t349 @t350)))))) % 1.22/1.42 (assume @p189 (forall @t140 (=> @t353 (=> @t274 (=> @t292 @t352))))) % 1.22/1.42 (assume @p190 (forall @t140 (=> @t353 (=> @t274 (=> @t300 @t354))))) % 1.22/1.42 (assume @p191 (forall @t140 (=> @t353 (=> @t274 (=> @t300 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t139 @t42)))))) % 1.22/1.42 (assume @p192 (forall @t140 (=> @t353 (=> @t304 (=> @t292 @t354))))) % 1.22/1.42 (assume @p193 (forall @t140 (=> @t355 (=> @t304 (=> @t300 @t352))))) % 1.22/1.42 (assume @p194 (forall @t79 (=> @t356 (=> @t247 (=> @t270 @t289))))) % 1.22/1.42 (assume @p195 (forall @t79 (=> @t356 @t357))) % 1.22/1.42 (assume @p196 (forall @t79 (=> (tptp.class_Rings_Oordered__comm__semiring @t7) @t357))) % 1.22/1.42 (assume @p197 (forall @t76 (=> @t355 (=> @t359 (=> @t358 @t289))))) % 1.22/1.42 (assume @p198 (forall @t76 (=> @t355 (=> @t359 (=> @t358 @t290))))) % 1.22/1.42 (assume @p199 (forall @t117 (=> @t356 (=> @t247 (=> @t242 (=> @t274 @t360)))))) % 1.22/1.42 (assume @p200 (forall @t117 (=> @t356 (=> @t247 (=> @t242 (=> @t292 @t360)))))) % 1.22/1.42 (assume @p201 (forall @t140 (=> @t355 (=> (or (and @t274 @t292) (and @t304 @t300)) @t352)))) % 1.22/1.42 (assume @p202 (forall @t140 (=> @t353 (=> (or (and @t274 @t300) (and @t304 @t292)) @t354)))) % 1.22/1.42 (assume @p203 (forall @t97 (=> @t96 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t49 @t95) @t351)))) % 1.22/1.42 (assume @p204 (forall @t97 (=> @t96 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t95 @t49) @t349)))) % 1.22/1.42 (assume @p205 (forall @t140 (=> @t293 (=> @t274 (=> @t292 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t35)))))) % 1.22/1.42 (assume @p206 (forall @t180 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t44) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t49 @t69) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t49 @t163) (= @t361 @t176)))))) % 1.22/1.42 (assume @p207 (forall @t79 (=> @t293 (=> @t274 (=> @t296 @t362))))) % 1.22/1.42 (assume @p208 (forall @t363 (=> @t293 (=> @t270 (=> @t359 @t362))))) % 1.22/1.42 (assume @p209 (forall @t140 (=> @t293 (=> @t304 (=> @t300 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t35 @t42)))))) % 1.22/1.42 (assume @p210 (forall @t211 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t9) @t145) @t42)))) % 1.22/1.42 (assume @p211 (forall @t214 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t34) @t145) (tptp.hAPP @t121 @t213))))) % 1.22/1.42 (assume @p212 (forall @t331 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t38) @t145) (tptp.c_Groups_Oplus__class_Oplus @t7 @t213 @t330))))) % 1.22/1.42 (assume @p213 (forall @t331 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t111) @t145) (tptp.hAPP (tptp.hAPP @t118 @t213) @t330))))) % 1.22/1.42 (assume @p214 (forall (@list @t145 @t10 @t18 @t7) (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t19) @t145) (tptp.hAPP @t212 (tptp.c_Groups_Oplus__class_Oplus @t7 @t10 @t145)))))) % 1.22/1.42 (assume @p215 (forall (@list @t366 @t364 @t44) (=> (and @t367 (tptp.class_Rings_Osemiring__0 @t44)) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t364 (tptp.hAPP (tptp.hAPP @t150 @t366) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t44 @t366 (tptp.c_Groups_Oplus__class_Oplus @t44 @t3 @t49)) @t365)))))) % 1.22/1.42 (assume @p216 (forall @t211 (=> @t368 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t145 @t145)))) % 1.22/1.42 (assume @p217 (forall (@list @t25 @t18 @t7) (=> @t11 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t18 (tptp.c_Polynomial_Osmult @t7 @t25 @t369)) @t371)))) % 1.22/1.42 (assume @p218 (forall (@list @t168 @t37 @t25 @t18 @t7) (=> @t11 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t18 (tptp.c_Polynomial_Osmult @t7 @t25 @t37)) (tptp.c_Polynomial_OpCons @t7 @t168 @t37)) (and (= @t168 @t370) (= @t37 @t369)))))) % 1.22/1.42 (assume @p219 (forall @t54 (=> @t345 (= (tptp.c_Polynomial_Opos__poly @t44 @t58) (or @t372 (and @t48 @t346)))))) % 1.22/1.42 (assume @p220 (forall (@list @t50 @t47 @t44) (=> @t53 (= (= (tptp.hAPP @t248 @t50) @t49) (or @t48 (not (= (tptp.c_Polynomial_Oorder @t44 @t50 @t47) @t373))))))) % 1.22/1.42 (assume @p221 (forall @t378 (=> @t377 (=> @t376 @t375)))) % 1.22/1.42 (assume @p222 (forall @t149 (=> @t368 (=> @t381 @t380)))) % 1.22/1.42 (assume @p223 (forall @t378 (=> @t377 (=> @t231 (=> @t382 @t374))))) % 1.22/1.42 (assume @p224 (forall @t149 (=> @t368 (=> @t232 (=> @t383 @t379))))) % 1.22/1.42 (assume @p225 (forall @t56 (=> @t237 (not (tptp.c_Polynomial_Opos__poly @t7 @t9))))) % 1.22/1.42 (assume @p226 (forall (@list @t25 @t7) (=> @t11 (= (tptp.c_Polynomial_Osynthetic__div @t7 @t9 @t25) @t9)))) % 1.22/1.42 (assume @p227 (forall @t386 (=> @t237 (=> @t385 (=> @t384 (tptp.c_Polynomial_Opos__poly @t7 @t38)))))) % 1.22/1.42 (assume @p228 (forall @t386 (=> @t237 (=> @t385 (=> @t384 (tptp.c_Polynomial_Opos__poly @t7 @t111)))))) % 1.22/1.42 (assume @p229 (forall @t390 (=> @t389 (= @t388 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t102 @t5 @t4)))))) % 1.22/1.42 (assume @p230 (forall @t225 (=> @t391 (or @t381 @t376)))) % 1.22/1.42 (assume @p231 (forall @t180 (=> @t395 (= @t394 (and @t393 @t392))))) % 1.22/1.42 (assume @p232 (forall @t225 (=> @t368 (=> @t234 @t381)))) % 1.22/1.42 (assume @p233 (forall (@list @t69 @t1 @t2 @t44 @t102) (=> @t389 (=> @t388 (tptp.c_Orderings_Oord__class_Oless__eq @t102 (tptp.hAPP @t2 @t69) (tptp.hAPP @t1 @t69)))))) % 1.22/1.42 (assume @p234 (forall @t397 (=> @t395 (=> @t392 @t396)))) % 1.22/1.42 (assume @p235 (forall @t79 (=> @t399 (=> @t170 (=> @t296 @t398))))) % 1.22/1.42 (assume @p236 (forall @t79 (=> @t377 (=> @t170 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t25 @t32) @t400))))) % 1.22/1.42 (assume @p237 (forall @t79 (=> @t399 (=> @t247 (=> @t72 @t398))))) % 1.22/1.42 (assume @p238 (forall @t76 (=> @t377 (=> @t359 (=> @t72 @t400))))) % 1.22/1.42 (assume @p239 (forall @t225 (=> @t377 (=> @t381 (=> @t376 @t234))))) % 1.22/1.42 (assume @p240 (forall @t149 (=> @t368 (=> @t381 (=> @t383 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t145 @t144)))))) % 1.22/1.42 (assume @p241 (forall @t401 (=> @t377 (=> @t376 (=> @t381 @t234))))) % 1.22/1.42 (assume @p242 (forall @t378 (=> @t377 (=> @t376 (=> @t382 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t144 @t145)))))) % 1.22/1.42 (assume @p243 (forall @t225 (=> @t391 (=> (not @t381) @t376)))) % 1.22/1.42 (assume @p244 (forall @t211 (=> @t368 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t145 @t145))))) % 1.22/1.42 (assume @p245 (forall @t180 (=> @t405 (= @t404 (or @t403 @t402))))) % 1.22/1.42 (assume @p246 (forall @t180 (=> @t405 (= @t406 (or @t402 @t394))))) % 1.22/1.42 (assume @p247 (forall @t225 (=> @t391 (or @t232 @t234 @t231)))) % 1.22/1.42 (assume @p248 (forall @t397 (=> @t405 (=> (not @t402) @t407)))) % 1.22/1.42 (assume @p249 (forall @t225 (=> @t391 @t236))) % 1.22/1.42 (assume @p250 (forall @t225 (=> @t377 (=> @t232 @t235)))) % 1.22/1.42 (assume @p251 (forall @t225 (=> @t368 (=> @t232 (not @t231))))) % 1.22/1.42 (assume @p252 (forall @t225 (=> @t377 (=> @t232 @t408)))) % 1.22/1.42 (assume @p253 (forall @t140 (=> @t368 (=> @t243 (not @t342))))) % 1.22/1.42 (assume @p254 (forall @t338 (=> @t377 (=> @t342 (not @t243))))) % 1.22/1.42 (assume @p255 (forall @t79 (=> @t399 (=> @t170 (=> @t297 @t409))))) % 1.22/1.42 (assume @p256 (forall @t79 (=> @t377 (=> @t170 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t25 @t32) @t410))))) % 1.22/1.42 (assume @p257 (forall @t79 (=> @t399 (=> @t243 (=> @t72 @t409))))) % 1.22/1.42 (assume @p258 (forall @t76 (=> @t377 (=> @t342 (=> @t72 @t410))))) % 1.22/1.42 (assume @p259 (forall @t149 (=> @t368 (=> @t232 @t380)))) % 1.22/1.42 (assume @p260 (forall @t378 (=> @t377 (=> @t231 @t375)))) % 1.22/1.42 (assume @p261 (forall @t225 (=> @t391 (=> @t233 (=> @t235 @t231))))) % 1.22/1.42 (assume @p262 (forall (@list @t25 @t18 @t12 @t7) (=> @t11 (= (tptp.c_Polynomial_Osynthetic__div @t7 @t20 @t25) @t371)))) % 1.22/1.42 (assume @p263 (forall @t180 (=> @t405 (= @t406 @t392)))) % 1.22/1.42 (assume @p264 (forall @t180 (=> @t405 (= (not @t393) @t402)))) % 1.22/1.42 (assume @p265 (forall @t225 (=> @t391 (or @t381 @t231)))) % 1.22/1.42 (assume @p266 (forall @t180 (=> @t395 (= @t403 (and @t393 @t404))))) % 1.22/1.42 (assume @p267 (forall @t180 (=> (tptp.class_Orderings_Opreorder @t44) (= @t403 (and @t393 (not @t392)))))) % 1.22/1.42 (assume @p268 (forall @t180 (=> @t395 (= @t393 (or @t403 @t394))))) % 1.22/1.42 (assume @p269 (forall @t225 (=> @t391 (=> @t233 @t376)))) % 1.22/1.42 (assume @p270 (forall @t401 (=> @t391 (=> (not @t376) @t232)))) % 1.22/1.42 (assume @p271 (forall @t180 (=> @t405 (=> @t406 @t396)))) % 1.22/1.42 (assume @p272 (forall @t140 (=> @t377 (=> @t411 (=> @t247 @t243))))) % 1.22/1.42 (assume @p273 (forall @t140 (=> @t377 (=> @t411 (=> @t359 @t342))))) % 1.22/1.42 (assume @p274 (forall @t401 (=> @t391 (=> @t376 @t233)))) % 1.22/1.42 (assume @p275 (forall @t225 (=> @t368 (=> @t232 @t381)))) % 1.22/1.42 (assume @p276 (forall @t180 (=> @t405 (=> @t393 @t407)))) % 1.22/1.42 (assume @p277 (forall @t225 (=> @t377 (=> @t381 (or @t232 @t234))))) % 1.22/1.42 (assume @p278 (forall @t140 (=> @t377 (=> @t247 (=> @t411 @t243))))) % 1.22/1.42 (assume @p279 (forall @t338 (=> @t377 (=> @t359 (=> @t411 @t342))))) % 1.22/1.42 (assume @p280 (forall @t413 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t373 @t412))) % 1.22/1.42 (assume @p281 (forall @t413 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t373)))) % 1.22/1.42 (assume @p282 (forall @t421 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t7) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t145 @t12) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t147 @t12) (=> @t420 (=> @t419 (=> @t418 (tptp.c_Orderings_Oord__class_Oless @t7 @t416 @t12))))))))) % 1.22/1.42 (assume @p283 (forall (@list @t325 @t91 @t163 @t69 @t44) (=> @t229 (= (tptp.c_Polynomial_Opdivmod__rel @t44 @t69 @t163 @t91 @t325) (and (= @t69 (tptp.c_Groups_Oplus__class_Oplus @t45 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes @t45) @t91) @t163) @t325)) (=> @t422 @t228) (=> (not @t422) (or @t326 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t44 @t325) (tptp.c_Polynomial_Odegree @t44 @t163))))))))) % 1.22/1.42 (assume @p284 (forall @t66 (=> @t55 (= (tptp.c_Polynomial_Omonom @t7 @t12 @t373) @t13)))) % 1.22/1.42 (assume @p285 (forall @t421 (=> (tptp.class_Rings_Olinordered__semiring__1 @t7) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t145 @t12) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t147 @t12) (=> @t420 (=> @t419 (=> @t418 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t416 @t12))))))))) % 1.22/1.42 (assume @p286 (forall @t431 (=> @t430 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t429 @t426) @t425)))) % 1.22/1.42 (assume @p287 (forall @t431 (=> @t430 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t432 @t426) @t426) @t425)))) % 1.22/1.42 (assume @p288 (forall @t390 (=> @t389 (= (tptp.c_Orderings_Oord__class_Oless @t387 @t2 @t1) (and @t388 (not (tptp.c_Orderings_Oord__class_Oless__eq @t387 @t1 @t2))))))) % 1.22/1.42 (assume @p289 (forall @t435 (=> @t55 (=> @t208 (= @t434 @t412))))) % 1.22/1.42 (assume @p290 (forall @t56 (=> @t100 (= (tptp.c_Polynomial_Odegree @t7 @t436) @t373)))) % 1.22/1.42 (assume @p291 (forall @t439 (=> (= @t161 @t438) (or (= @t412 @t423) (= @t161 @t373))))) % 1.22/1.42 (assume @p292 (forall @t211 (=> @t100 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t436) @t145) @t417)))) % 1.22/1.42 (assume @p293 (forall @t71 (=> (tptp.class_Groups_Oone @t44) (= (= @t440 @t69) @t441)))) % 1.22/1.42 (assume @p294 (forall (@list @t81 @t424 @t50 @t44) (=> @t60 (= (= @t442 (tptp.c_Polynomial_Omonom @t44 @t81 @t424)) @t93)))) % 1.22/1.42 (assume @p295 (forall @t413 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t412)))) % 1.22/1.42 (assume @p296 (forall @t413 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t412 @t412))) % 1.22/1.42 (assume @p297 (forall @t431 (= @t446 (or @t444 @t443)))) % 1.22/1.42 (assume @p298 (forall @t439 (or @t448 @t447))) % 1.22/1.42 (assume @p299 (forall @t431 (= @t444 (and @t449 @t446)))) % 1.22/1.42 (assume @p300 (forall @t431 (= @t449 @t450))) % 1.22/1.42 (assume @p301 (forall @t452 (=> @t235 (=> (not @t451) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t147 @t145))))) % 1.22/1.42 (assume @p302 (forall @t456 (=> @t455 @t454))) % 1.22/1.42 (assume @p303 (forall (@list @t457 @t458) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t458 @t457) (not (= @t458 @t457))))) % 1.22/1.42 (assume @p304 (forall @t439 (=> @t453 @t448))) % 1.22/1.42 (assume @p305 (forall @t439 (=> @t459 @t448))) % 1.22/1.42 (assume @p306 (forall @t439 (=> @t448 (=> @t454 @t459)))) % 1.22/1.42 (assume @p307 (forall @t463 (=> @t462 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t461 @t306) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t460 @t306))))) % 1.22/1.42 (assume @p308 (forall @t439 (=> @t448 (=> @t447 @t453)))) % 1.22/1.42 (assume @p309 (forall @t439 (=> (or @t459 @t453) @t448))) % 1.22/1.42 (assume @p310 (forall (@list @t364 @t424 @t426) (=> (=> @t444 @t465) (=> (=> @t445 @t465) (=> (=> @t443 @t465) @t465))))) % 1.22/1.42 (assume @p311 (forall @t469 (=> @t468 (not (=> @t448 (not @t466)))))) % 1.22/1.42 (assume @p312 (forall @t469 (=> @t468 @t448))) % 1.22/1.42 (assume @p313 (forall @t469 (=> @t468 @t466))) % 1.22/1.42 (assume @p314 (forall @t463 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t470 @t306) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t460 @t306)))) % 1.22/1.42 (assume @p315 (forall (@list @t412 @t161 @t472 @t306) (=> @t473 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t472) @t471) @t459)))) % 1.22/1.42 (assume @p316 (forall @t477 (=> @t462 (=> @t476 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t475 @t474))))) % 1.22/1.42 (assume @p317 (forall @t477 (=> @t478 (=> @t473 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t475 @t474))))) % 1.22/1.42 (assume @p318 (forall @t463 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t475 @t479)))) % 1.22/1.42 (assume @p319 (forall @t463 (=> @t478 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t475 @t479)))) % 1.22/1.42 (assume @p320 (forall @t481 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t460 @t480)))) % 1.22/1.42 (assume @p321 (forall @t481 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t460 @t482)))) % 1.22/1.42 (assume @p322 (forall @t481 (=> @t478 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t460 @t480)))) % 1.22/1.42 (assume @p323 (forall @t481 (=> @t478 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t460 @t482)))) % 1.22/1.42 (assume @p324 (forall @t486 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t485 @t484) @t449))) % 1.22/1.42 (assume @p325 (forall @t486 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t485 @t484) @t444))) % 1.22/1.42 (assume @p326 (forall @t431 (= @t449 (exists @t489 (= @t424 @t488))))) % 1.22/1.42 (assume @p327 (forall @t435 (=> @t55 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t434 @t412)))) % 1.22/1.42 (assume @p328 (forall @t456 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t412 @t490))) % 1.22/1.42 (assume @p329 (forall @t456 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t412 @t491))) % 1.22/1.42 (assume @p330 (forall (@list @t460 @t461) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t492 @t460)))) % 1.22/1.42 (assume @p331 (forall (@list @t461 @t460) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t470 @t460)))) % 1.22/1.42 (assume @p332 (forall @t494 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t161 @t493))) % 1.22/1.42 (assume @p333 (forall @t494 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t161 (tptp.hAPP @t437 @t493)))) % 1.22/1.42 (assume @p334 (forall @t463 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t498 @t496)))) % 1.22/1.42 (assume @p335 (forall @t463 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t501 @t500)))) % 1.22/1.42 (assume @p336 (forall @t477 (=> @t462 (=> @t476 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t498 (tptp.hAPP @t495 @t472)))))) % 1.22/1.42 (assume @p337 (forall @t56 (=> @t100 (= @t436 @t502)))) % 1.22/1.42 (assume @p338 (forall @t56 (=> @t503 (not (= @t417 @t42))))) % 1.22/1.42 (assume @p339 (forall @t56 (=> @t503 (not (= @t42 @t417))))) % 1.22/1.42 (assume @p340 (forall @t66 (=> @t505 @t504))) % 1.22/1.42 (assume @p341 (forall @t66 (=> @t506 @t504))) % 1.22/1.42 (assume @p342 (forall @t66 (=> @t505 @t507))) % 1.22/1.42 (assume @p343 (forall @t66 (=> @t506 @t507))) % 1.22/1.42 (assume @p344 (forall @t66 (=> @t100 @t507))) % 1.22/1.42 (assume @p345 (forall @t66 (=> @t100 @t504))) % 1.22/1.42 (assume @p346 (forall @t510 (=> @t11 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t509 @t508)))) % 1.22/1.42 (assume @p347 (forall @t66 (=> @t100 (tptp.c_Rings_Odvd__class_Odvd @t7 @t417 @t12)))) % 1.22/1.42 (assume @p348 (forall (@list @t18 @t37 @t7) (=> @t40 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t512 @t508) (= @t511 @t508))))) % 1.22/1.42 (assume @p349 (forall @t386 (=> @t40 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t508 @t512) (= @t511 @t512))))) % 1.22/1.42 (assume @p350 (forall @t514 (=> @t40 (=> @t513 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t512 @t412) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t511 @t412)))))) % 1.22/1.42 (assume @p351 (forall @t514 (=> @t40 (=> @t515 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t512 @t412) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t511 @t412)))))) % 1.22/1.42 (assume @p352 (forall @t386 (=> @t11 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t517 @t516)))) % 1.22/1.42 (assume @p353 (forall @t43 (=> @t100 (= (tptp.c_Polynomial_Osmult @t7 @t417 @t18) @t18)))) % 1.22/1.42 (assume @p354 (forall @t386 (=> @t11 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 @t174) (tptp.hAPP @t518 @t512))))) % 1.22/1.42 (assume @p355 (forall @t56 (=> @t55 (= (tptp.c_Polynomial_Odegree @t7 @t9) @t373)))) % 1.22/1.42 (assume @p356 (forall @t56 (=> @t347 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t417)))) % 1.22/1.42 (assume @p357 (forall @t56 (=> @t347 (not (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t417 @t42))))) % 1.22/1.42 (assume @p358 (forall @t56 (=> @t347 (tptp.c_Orderings_Oord__class_Oless @t7 @t42 @t417)))) % 1.22/1.42 (assume @p359 (forall @t56 (=> @t347 (not (tptp.c_Orderings_Oord__class_Oless @t7 @t417 @t42))))) % 1.22/1.42 (assume @p360 (forall (@list @t412 @t161 @t7) (=> @t347 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t417 @t161) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t417 @t412) (tptp.c_Orderings_Oord__class_Oless @t7 @t417 (tptp.hAPP (tptp.hAPP @t118 @t161) @t412))))))) % 1.22/1.42 (assume @p361 (forall @t66 (=> @t347 (tptp.c_Orderings_Oord__class_Oless @t7 @t12 @t519)))) % 1.22/1.42 (assume @p362 (forall (@list @t161 @t7) (=> @t100 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t161 @t161) (tptp.hAPP (tptp.hAPP @t118 @t520) @t161))))) % 1.22/1.42 (assume @p363 (forall (@list @t12 @t161 @t7) (=> @t100 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t161 @t162) @t521)))) % 1.22/1.42 (assume @p364 (forall (@list @t161 @t12 @t7) (=> @t100 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t162 @t161) @t521)))) % 1.22/1.42 (assume @p365 (forall @t386 (=> @t523 (=> @t321 (=> @t522 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t508 @t512)))))) % 1.22/1.42 (assume @p366 (forall @t386 (=> @t523 (=> @t524 (=> @t522 (= @t517 @t516)))))) % 1.22/1.42 (assume @p367 (forall @t526 (=> @t523 (=> @t524 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t525 @t508))))) % 1.22/1.42 (assume @p368 (forall @t527 (=> @t55 (= (tptp.c_Polynomial_Omonom @t7 @t42 @t412) @t9)))) % 1.22/1.42 (assume @p369 (forall @t528 (=> @t60 (= (= @t442 @t46) @t51)))) % 1.22/1.42 (assume @p370 (forall @t530 (=> @t11 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t529) (tptp.c_Polynomial_Omonom @t7 @t122 @t412))))) % 1.22/1.42 (assume @p371 (forall @t510 (=> @t523 (and (=> @t204 (= @t509 @t373)) (=> @t208 (= @t509 @t508)))))) % 1.22/1.42 (assume @p372 (forall @t531 (=> @t40 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t433 @t529) (tptp.c_Polynomial_Omonom @t7 @t35 @t412))))) % 1.22/1.42 (assume @p373 (forall (@list @t412 @t32 @t161 @t12 @t7) (=> @t11 (= (tptp.hAPP (tptp.hAPP @t109 @t532) @t529) (tptp.c_Polynomial_Omonom @t7 @t122 @t491))))) % 1.22/1.42 (assume @p374 (forall @t66 (=> @t55 (= (tptp.c_Polynomial_Odegree @t7 @t13) @t373)))) % 1.22/1.42 (assume @p375 (forall @t225 (=> @t237 (=> @t535 (=> @t534 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t148 @t145))))))) % 1.22/1.42 (assume @p376 (forall @t225 (=> @t237 (=> @t535 (=> @t534 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.hAPP @t196 @t145) @t145))))))) % 1.22/1.42 (assume @p377 (forall @t56 (=> @t347 (tptp.c_Orderings_Oord__class_Oless @t7 @t42 @t520)))) % 1.22/1.42 (assume @p378 (forall @t537 (=> (tptp.class_Rings_Ocomm__semiring__0 @t44) (= (= (tptp.c_Polynomial_Osynthetic__div @t44 @t47 @t80) @t46) (= @t536 @t373))))) % 1.22/1.42 (assume @p379 (forall @t413 (= (tptp.hAPP (tptp.hAPP @t427 @t373) @t412) @t373))) % 1.22/1.42 (assume @p380 (forall @t494 (= (tptp.hAPP @t437 @t373) @t373))) % 1.22/1.42 (assume @p381 (forall @t431 (= (= @t429 @t373) (or @t539 @t538)))) % 1.22/1.42 (assume @p382 (forall @t486 (= @t545 @t541))) % 1.22/1.42 (assume @p383 (forall @t548 (= (= @t547 @t546) @t541))) % 1.22/1.42 (assume @p384 (forall @t413 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t373 @t412) @t412))) % 1.22/1.42 (assume @p385 (forall @t494 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t373) @t161))) % 1.22/1.42 (assume @p386 (forall @t431 (= (= @t549 @t373) (and @t539 @t538)))) % 1.22/1.42 (assume @p387 (forall @t439 (=> (= @t491 @t161) @t550))) % 1.22/1.42 (assume @p388 (forall @t413 (=> @t552 @t551))) % 1.22/1.42 (assume @p389 (forall (@list @t412 @t306) (=> @t553 (=> @t551 @t466)))) % 1.22/1.42 (assume @p390 (forall @t439 (=> @t459 @t552))) % 1.22/1.42 (assume @p391 (forall @t439 (=> @t555 (=> @t459 (not @t554))))) % 1.22/1.42 (assume @p392 (forall @t556 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t424 @t373) @t538))) % 1.22/1.42 (assume @p393 (forall @t431 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t549) (or @t430 @t557)))) % 1.22/1.42 (assume @p394 (forall @t556 (= @t558 @t557))) % 1.22/1.42 (assume @p395 (forall @t563 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t562 @t561) (=> @t560 @t559)))) % 1.22/1.42 (assume @p396 (forall @t463 (=> @t478 (=> @t560 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t501 @t500))))) % 1.22/1.42 (assume @p397 (forall @t463 (=> @t478 (=> @t560 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t498 @t496))))) % 1.22/1.42 (assume @p398 (forall @t548 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t547 @t546) @t565))) % 1.22/1.42 (assume @p399 (forall @t486 (= @t566 @t565))) % 1.22/1.42 (assume @p400 (forall @t548 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t547 @t546) @t567))) % 1.22/1.42 (assume @p401 (forall @t486 (= @t568 @t567))) % 1.22/1.42 (assume @p402 (forall @t431 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t429) (and @t430 @t557)))) % 1.22/1.42 (assume @p403 (forall @t486 (=> @t564 (= @t566 @t449)))) % 1.22/1.42 (assume @p404 (forall (@list @t18 @t25 @t7) (=> @t569 (= (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP (tptp.hAPP @t109 (tptp.c_Polynomial_OpCons @t7 (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t25) @t502)) @t369) (tptp.c_Polynomial_OpCons @t7 @t370 @t9)) @t18)))) % 1.22/1.42 (assume @p405 (forall @t452 (=> @t451 @t570))) % 1.22/1.42 (assume @p406 (forall @t456 (=> @t551 (=> @t559 @t555)))) % 1.22/1.42 (assume @p407 (forall @t486 (=> @t564 (= @t568 @t444)))) % 1.22/1.42 (assume @p408 (forall @t486 (=> @t564 (= @t572 @t571)))) % 1.22/1.42 (assume @p409 (forall @t573 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t145 @t145))) % 1.22/1.42 (assume @p410 (forall (@list @t424 @t483) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t483 @t574) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t483 @t424)))) % 1.22/1.42 (assume @p411 (forall @t452 (=> @t577 (not (and @t576 (not @t575)))))) % 1.22/1.42 (assume @p412 (forall @t582 (=> @t577 @t581))) % 1.22/1.42 (assume @p413 (forall @t586 (=> @t585 (not (and @t584 (not @t583)))))) % 1.22/1.42 (assume @p414 (forall @t582 (=> @t577 (=> @t580 @t579)))) % 1.22/1.42 (assume @p415 (forall @t589 (=> @t585 (=> @t72 @t588)))) % 1.22/1.42 (assume @p416 (forall @t452 (=> @t577 @t408))) % 1.22/1.42 (assume @p417 (forall @t452 (=> @t577 @t235))) % 1.22/1.42 (assume @p418 (forall @t452 (=> @t577 @t575))) % 1.22/1.42 (assume @p419 (forall @t582 (=> @t575 @t581))) % 1.22/1.42 (assume @p420 (forall @t589 (=> @t170 (=> (and @t590 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t25 @t32))) @t588)))) % 1.22/1.42 (assume @p421 (forall @t582 (=> @t575 (=> @t580 @t578)))) % 1.22/1.42 (assume @p422 (forall @t452 (=> @t575 (=> @t576 @t234)))) % 1.22/1.42 (assume @p423 (forall @t439 (=> @t559 (=> @t554 @t453)))) % 1.22/1.42 (assume @p424 (forall @t589 (=> @t583 (=> @t72 @t587)))) % 1.22/1.42 (assume @p425 (forall @t589 (=> @t170 (=> @t590 @t587)))) % 1.22/1.42 (assume @p426 (forall @t586 (=> @t583 (=> @t411 @t585)))) % 1.22/1.42 (assume @p427 (forall @t452 (=> @t575 (or @t577 @t234)))) % 1.22/1.42 (assume @p428 (forall (@list @t69 @t163) (=> @t592 (= @t591 @t394)))) % 1.22/1.42 (assume @p429 (forall @t452 (=> @t234 @t575))) % 1.22/1.42 (assume @p430 (forall @t586 (=> @t411 (=> @t583 @t585)))) % 1.22/1.42 (assume @p431 (forall @t594 (= @t593 (and @t591 @t404)))) % 1.22/1.42 (assume @p432 (forall @t594 (= @t591 (or @t593 @t394)))) % 1.22/1.42 (assume @p433 (forall @t594 (= @t394 (and @t591 @t592)))) % 1.22/1.42 (assume @p434 (forall @t596 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t426 @t423) @t595))) % 1.22/1.42 (assume @p435 (forall @t573 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t423 @t145))) % 1.22/1.42 (assume @p436 (forall @t563 (= (tptp.hAPP @t499 @t491) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t562 @t561)))) % 1.22/1.42 (assume @p437 (forall @t600 (= (tptp.hAPP (tptp.hAPP @t427 @t491) @t306) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t599 @t598)))) % 1.22/1.42 (assume @p438 (forall @t600 (= (tptp.hAPP (tptp.hAPP @t427 @t438) @t306) (tptp.hAPP @t437 @t598)))) % 1.22/1.42 (assume @p439 (forall @t431 (= (= @t429 @t423) @t601))) % 1.22/1.42 (assume @p440 (forall @t439 (= @t438 @t602))) % 1.22/1.42 (assume @p441 (forall @t413 (= (tptp.hAPP @t597 @t423) @t412))) % 1.22/1.42 (assume @p442 (forall @t431 (= (= @t423 @t429) @t601))) % 1.22/1.42 (assume @p443 (forall @t413 (= (tptp.hAPP (tptp.hAPP @t427 @t423) @t412) @t412))) % 1.22/1.42 (assume @p444 (forall @t435 (=> @t604 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t433) (tptp.c_Polynomial_Omonom @t7 @t603 @t412))))) % 1.22/1.42 (assume @p445 (forall @t439 (= @t491 @t490))) % 1.22/1.42 (assume @p446 (forall @t582 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t145 @t605) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t147 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t145 @t144))))) % 1.22/1.42 (assume @p447 (forall @t600 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t491 @t306) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t606)))) % 1.22/1.42 (assume @p448 (forall @t486 (= (= @t485 @t484) @t445))) % 1.22/1.42 (assume @p449 (forall @t548 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t426 @t483) @t574) @t445))) % 1.22/1.42 (assume @p450 (forall @t180 (=> @t609 (= (= @t608 @t607) @t394)))) % 1.22/1.42 (assume @p451 (forall (@list @t69 @t610 @t102 @t44) (=> (tptp.class_Groups_Ouminus @t44) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t612 @t610) @t69) (tptp.c_Groups_Ouminus__class_Ouminus @t44 @t611))))) % 1.22/1.42 (assume @p452 (forall @t211 (=> @t614 (= (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t613) @t145)))) % 1.22/1.42 (assume @p453 (forall (@list @t18 @t12 @t44) (=> @t615 (= (tptp.c_Groups_Ouminus__class_Ouminus @t45 (tptp.c_Polynomial_OpCons @t44 @t12 @t18)) (tptp.c_Polynomial_OpCons @t44 (tptp.c_Groups_Ouminus__class_Ouminus @t44 @t12) (tptp.c_Groups_Ouminus__class_Ouminus @t45 @t18)))))) % 1.22/1.42 (assume @p454 (forall @t510 (=> @t604 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t20) (tptp.c_Polynomial_OpCons @t7 @t603 @t616))))) % 1.22/1.42 (assume @p455 (forall @t510 (=> @t618 (= (tptp.c_Polynomial_Osmult @t7 @t603 @t18) @t617)))) % 1.22/1.42 (assume @p456 (forall @t210 (=> @t621 (= (= @t620 @t619) @t93)))) % 1.22/1.42 (assume @p457 (forall @t210 (=> @t621 (= (= @t620 @t81) (= @t619 @t50))))) % 1.22/1.42 (assume @p458 (forall @t210 (=> @t621 (= @t622 (= @t81 @t620))))) % 1.22/1.42 (assume @p459 (forall @t66 (=> @t623 (= (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t603) @t12)))) % 1.22/1.42 (assume @p460 (forall (@list @t306 @t461 @t415 @t460) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t497 @t415) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t495 @t415) @t306)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t427 @t470) @t415) @t306)))) % 1.22/1.42 (assume @p461 (forall (@list @t145 @t18 @t7) (=> @t618 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t616) @t145) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t213))))) % 1.22/1.42 (assume @p462 (forall @t97 (=> @t96 (= (= @t620 @t50) @t51)))) % 1.22/1.42 (assume @p463 (forall @t97 (=> @t621 (= (= @t620 @t49) @t51)))) % 1.22/1.42 (assume @p464 (forall @t97 (=> @t96 (= (= @t50 @t620) @t51)))) % 1.22/1.42 (assume @p465 (forall @t97 (=> @t621 (= (= @t49 @t620) (= @t49 @t50))))) % 1.22/1.42 (assume @p466 (forall @t56 (=> @t623 (= (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t42) @t42)))) % 1.22/1.42 (assume @p467 (forall @t180 (=> @t609 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t608 @t607) @t392)))) % 1.22/1.42 (assume @p468 (forall @t225 (=> @t614 (=> @t381 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t624 @t613))))) % 1.22/1.42 (assume @p469 (forall @t140 (=> (tptp.class_Groups_Oordered__ab__group__add @t7) (=> @t247 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t625 @t603))))) % 1.22/1.42 (assume @p470 (forall @t99 (=> @t626 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t619 @t620) @t260)))) % 1.22/1.42 (assume @p471 (forall @t210 (=> @t626 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t620 @t81) (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t619 @t50))))) % 1.22/1.42 (assume @p472 (forall @t210 (=> @t626 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t50 @t619) (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t81 @t620))))) % 1.22/1.42 (assume @p473 (forall @t99 (=> @t626 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t619 @t620) @t308)))) % 1.22/1.42 (assume @p474 (forall @t210 (=> @t626 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t620 @t81) (tptp.c_Orderings_Oord__class_Oless @t44 @t619 @t50))))) % 1.22/1.42 (assume @p475 (forall @t210 (=> @t626 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t50 @t619) (tptp.c_Orderings_Oord__class_Oless @t44 @t81 @t620))))) % 1.22/1.42 (assume @p476 (forall @t140 (=> @t629 (= @t628 @t627)))) % 1.22/1.42 (assume @p477 (forall @t140 (=> @t629 (= @t628 @t631)))) % 1.22/1.42 (assume @p478 (forall @t140 (=> @t183 (= @t627 @t628)))) % 1.22/1.42 (assume @p479 (forall (@list @t145 @t185 @t7) (=> @t183 (= (tptp.hAPP @t186 @t613) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t188))))) % 1.22/1.42 (assume @p480 (forall @t140 (=> @t183 (= @t631 @t628)))) % 1.22/1.42 (assume @p481 (forall @t225 (=> @t183 (= (tptp.hAPP (tptp.hAPP @t118 @t613) @t147) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t148))))) % 1.22/1.42 (assume @p482 (forall @t140 (=> @t629 (= @t631 @t627)))) % 1.22/1.42 (assume @p483 (forall @t140 (=> @t629 (= (tptp.hAPP @t630 @t625) @t122)))) % 1.22/1.42 (assume @p484 (forall @t210 (=> @t53 (= (= (tptp.hAPP @t154 @t50) (tptp.hAPP @t151 @t81)) (or @t93 @t622))))) % 1.22/1.42 (assume @p485 (forall @t140 (=> @t623 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t603 @t35) @t32)))) % 1.22/1.42 (assume @p486 (forall @t140 (=> @t623 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 (tptp.c_Groups_Oplus__class_Oplus @t7 @t603 @t32)) @t32)))) % 1.22/1.42 (assume @p487 (forall @t140 (=> @t623 (= @t632 (tptp.c_Groups_Oplus__class_Oplus @t7 @t625 @t603))))) % 1.22/1.43 (assume @p488 (forall @t140 (=> @t604 (= @t632 (tptp.c_Groups_Oplus__class_Oplus @t7 @t603 @t625))))) % 1.22/1.43 (assume @p489 (forall @t180 (=> @t634 (= (tptp.c_Rings_Odvd__class_Odvd @t44 @t608 @t163) @t633)))) % 1.22/1.43 (assume @p490 (forall @t180 (=> @t634 (= (tptp.c_Rings_Odvd__class_Odvd @t44 @t69 @t607) @t633)))) % 1.22/1.43 (assume @p491 (forall @t56 (=> @t604 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t9) @t9)))) % 1.22/1.43 (assume @p492 (forall @t43 (=> @t604 (= (tptp.c_Polynomial_Odegree @t7 @t616) @t508)))) % 1.22/1.43 (assume @p493 (forall @t510 (=> @t618 (= (tptp.c_Polynomial_Osmult @t7 @t12 @t616) @t617)))) % 1.22/1.43 (assume @p494 (forall @t97 (=> @t96 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t620 @t50) @t351)))) % 1.22/1.43 (assume @p495 (forall @t97 (=> @t626 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t620 @t49) @t351)))) % 1.22/1.43 (assume @p496 (forall @t97 (=> @t96 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t50 @t620) @t349)))) % 1.22/1.43 (assume @p497 (forall @t97 (=> @t626 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t49 @t620) @t349)))) % 1.22/1.43 (assume @p498 (forall @t97 (=> @t96 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t620 @t50) @t346)))) % 1.22/1.43 (assume @p499 (forall @t97 (=> @t626 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t620 @t49) @t346)))) % 1.22/1.43 (assume @p500 (forall @t97 (=> @t626 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t49 @t620) @t343)))) % 1.22/1.43 (assume @p501 (forall @t97 (=> @t345 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t50 @t620) @t343)))) % 1.22/1.43 (assume @p502 (forall @t140 (=> @t623 (=> (= @t35 @t42) (= @t603 @t32))))) % 1.22/1.43 (assume @p503 (forall @t66 (=> @t604 @t635))) % 1.22/1.43 (assume @p504 (forall @t66 (=> @t623 @t635))) % 1.22/1.43 (assume @p505 (forall @t210 (=> @t621 (= @t622 (= @t87 @t49))))) % 1.22/1.43 (assume @p506 (forall @t66 (=> @t623 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t603) @t42)))) % 1.22/1.43 (assume @p507 (forall @t211 (=> @t569 (= @t613 (tptp.hAPP (tptp.hAPP @t118 @t636) @t145))))) % 1.22/1.43 (assume @p508 (forall @t71 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t44) (= (= @t177 @t440) (or @t441 (= @t69 (tptp.c_Groups_Ouminus__class_Ouminus @t44 @t440))))))) % 1.22/1.43 (assume @p509 (forall @t43 (=> @t237 (or @t24 @t385 (tptp.c_Polynomial_Opos__poly @t7 @t616))))) % 1.22/1.43 (assume @p510 (forall @t486 (= @t572 (or @t540 @t571)))) % 1.22/1.43 (assume @p511 (forall @t573 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t145 @t373))) % 1.22/1.43 (assume @p512 (forall @t486 (= @t545 (or @t540 @t445)))) % 1.22/1.43 (assume @p513 (forall @t582 (=> @t451 @t637))) % 1.22/1.43 (assume @p514 (forall @t638 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t144) @t637))) % 1.22/1.43 (assume @p515 (forall @t582 (=> @t570 @t639))) % 1.22/1.43 (assume @p516 (forall @t638 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t145 @t144) @t639))) % 1.22/1.43 (assume @p517 (forall (@list @t47 @t80 @t44) (=> @t53 (= (tptp.c_Rings_Odvd__class_Odvd @t45 (tptp.c_Polynomial_OpCons @t44 @t80 @t641) @t47) (= (tptp.hAPP @t248 @t640) @t49))))) % 1.22/1.43 (assume @p518 (forall @t537 (=> @t53 (= (= (tptp.hAPP @t248 @t80) @t49) (tptp.c_Rings_Odvd__class_Odvd @t45 (tptp.c_Polynomial_OpCons @t44 @t640 @t641) @t47))))) % 1.22/1.43 (assume @p519 (forall @t486 (=> @t564 (= @t545 @t445)))) % 1.22/1.43 (assume @p520 (forall @t180 (=> @t621 (= @t361 (= @t163 @t608))))) % 1.22/1.43 (assume @p521 (forall (@list @t366 @t483) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t483 @t366) (exists @t643 (= @t366 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t483 @t642)))))) % 1.22/1.43 (assume @p522 (forall @t510 (=> @t523 @t646))) % 1.22/1.43 (assume @p523 (forall (@list @t424 @t364) (=> (not (tptp.hBOOL (tptp.hAPP @t364 @t373))) (=> (tptp.hBOOL @t464) (exists @t489 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t487 @t424) (forall @t648 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t647 @t487) (not (tptp.hBOOL (tptp.hAPP @t364 @t647))))) (tptp.hBOOL (tptp.hAPP @t364 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t487 @t423))))))))) % 1.22/1.43 (assume @p524 (forall @t652 (=> @t55 (=> @t515 (=> @t651 (or @t24 @t513)))))) % 1.22/1.43 (assume @p525 (forall @t211 (=> @t100 (= (tptp.hAPP @t654 @t423) @t145)))) % 1.22/1.43 (assume @p526 (forall @t652 (=> @t604 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t616) @t412) (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t650))))) % 1.22/1.43 (assume @p527 (forall @t656 (=> @t100 (= (tptp.hAPP (tptp.hAPP @t653 @t655) @t37) (tptp.hAPP @t654 (tptp.hAPP (tptp.hAPP @t427 @t18) @t37)))))) % 1.22/1.43 (assume @p528 (forall (@list @t37 @t147 @t145 @t7) (=> @t100 (= (tptp.hAPP (tptp.hAPP @t653 @t148) @t37) (tptp.hAPP @t659 (tptp.hAPP @t657 @t37)))))) % 1.22/1.43 (assume @p529 (forall (@list @t145 @t412 @t18 @t7) (=> @t100 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t660) @t145) (tptp.hAPP (tptp.hAPP @t653 @t213) @t412))))) % 1.22/1.43 (assume @p530 (forall @t250 (=> @t60 (= @t92 (forall @t643 (= (tptp.hAPP @t661 @t642) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t44 @t91) @t642))))))) % 1.22/1.43 (assume @p531 (forall @t180 (=> @t60 (= (= (tptp.c_Polynomial_Ocoeff @t44 @t69) (tptp.c_Polynomial_Ocoeff @t44 @t163)) @t394)))) % 1.22/1.43 (assume @p532 (forall @t435 (=> @t100 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t662) @t412) @t417)))) % 1.22/1.43 (assume @p533 (forall @t211 (=> @t100 (= (tptp.hAPP @t654 @t373) @t417)))) % 1.22/1.43 (assume @p534 (forall @t656 (=> @t100 (= (tptp.hAPP (tptp.hAPP @t118 @t655) @t658) (tptp.hAPP @t654 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t18 @t37)))))) % 1.22/1.43 (assume @p535 (forall @t527 (=> @t55 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t9) @t412) @t42)))) % 1.22/1.43 (assume @p536 (forall @t510 (=> @t55 (= (tptp.hAPP @t663 @t373) @t12)))) % 1.22/1.43 (assume @p537 (forall @t664 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t34) @t412) (tptp.hAPP @t121 @t650))))) % 1.22/1.43 (assume @p538 (forall @t667 (=> @t40 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t38) @t412) (tptp.c_Groups_Oplus__class_Oplus @t7 @t650 @t666))))) % 1.22/1.43 (assume @p539 (forall @t669 (=> @t55 (and (=> @t453 (= @t668 @t12)) (=> @t454 (= @t668 @t42)))))) % 1.22/1.43 (assume @p540 (forall @t386 (=> @t523 (=> (= @t671 @t670) (=> @t321 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t37 @t18) (= @t18 @t37))))))) % 1.22/1.43 (assume @p541 (forall @t652 (=> @t55 (=> @t513 @t651)))) % 1.22/1.43 (assume @p542 (forall @t652 (=> @t55 (=> (not @t651) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t412 @t508))))) % 1.22/1.43 (assume @p543 (forall @t652 (=> @t100 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 @t660) (tptp.hAPP @t518 @t412))))) % 1.22/1.43 (assume @p544 (forall @t324 (=> @t60 (= (= @t672 @t49) @t48)))) % 1.22/1.43 (assume @p545 (forall @t43 (=> @t55 (=> @t524 (not (= @t671 @t42)))))) % 1.22/1.43 (assume @p546 (forall (@list @t145 @t412 @t12 @t7) (=> @t100 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t433) @t145) (tptp.hAPP @t121 @t673))))) % 1.22/1.43 (assume @p547 (forall @t435 (=> @t100 (= (tptp.c_Polynomial_Odegree @t7 @t662) @t412)))) % 1.22/1.43 (assume @p548 (forall @t386 (=> @t11 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t111) @t516) (tptp.hAPP (tptp.hAPP @t118 @t671) @t670))))) % 1.22/1.43 (assume @p549 (forall @t527 (=> @t100 (and (=> @t550 (= @t674 @t417)) (=> @t552 (= @t674 @t42)))))) % 1.22/1.43 (assume @p550 (forall @t324 (=> @t345 (= @t372 (tptp.c_Orderings_Oord__class_Oless @t44 @t49 @t672))))) % 1.22/1.43 (assume @p551 (forall @t530 (=> @t347 (=> @t243 (=> @t274 (=> @t551 @t679)))))) % 1.22/1.43 (assume @p552 (forall @t680 (=> @t100 (=> (or @t551 (= @t145 @t417)) (tptp.c_Rings_Odvd__class_Odvd @t7 @t145 @t673))))) % 1.22/1.43 (assume @p553 (forall @t435 (=> @t347 (=> @t681 (=> @t551 (tptp.c_Orderings_Oord__class_Oless @t7 @t417 @t678)))))) % 1.22/1.43 (assume @p554 (forall @t688 (=> @t687 (=> @t686 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t685 @t684) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t69 @t163)))))) % 1.22/1.43 (assume @p555 (forall @t582 (= (tptp.hAPP (tptp.hAPP @t689 @t691) @t144) (tptp.hAPP @t690 (tptp.hAPP (tptp.hAPP @t427 @t147) @t144))))) % 1.22/1.43 (assume @p556 (forall @t582 (= (tptp.hAPP @t690 @t605) (tptp.hAPP (tptp.hAPP @t692 @t691) (tptp.hAPP @t690 @t144))))) % 1.22/1.43 (assume @p557 (forall @t693 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t689 @t12) @t412) (tptp.hAPP (tptp.hAPP @t689 @t32) @t412)) (=> @t552 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t12 @t32))))) % 1.22/1.43 (assume @p558 (forall @t694 (=> @t558 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t689 @t50) @t424) (tptp.hAPP (tptp.hAPP @t689 @t81) @t424)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t50 @t81))))) % 1.22/1.43 (assume @p559 (forall @t699 (= @t698 (or @t695 @t538)))) % 1.22/1.43 (assume @p560 (forall @t703 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t460) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t702 @t701) @t459)))) % 1.22/1.43 (assume @p561 (forall @t693 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t696 @t12) @t412) (tptp.hAPP (tptp.hAPP @t696 @t32) @t412)) (=> @t552 @t583)))) % 1.22/1.43 (assume @p562 (forall @t694 (=> @t558 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t696 @t50) @t424) (tptp.hAPP (tptp.hAPP @t696 @t81) @t424)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t50 @t81))))) % 1.22/1.43 (assume @p563 (forall @t703 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t702 @t701) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t423 @t460) @t448)))) % 1.22/1.43 (assume @p564 (forall @t435 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t7) (=> @t208 (not (= @t678 @t42)))))) % 1.22/1.43 (assume @p565 (forall @t435 (=> @t505 (= @t706 @t704)))) % 1.22/1.43 (assume @p566 (forall @t530 (=> @t506 (= (tptp.hAPP (tptp.hAPP @t653 @t122) @t412) (tptp.hAPP @t705 @t676))))) % 1.22/1.43 (assume @p567 (forall @t527 (=> @t505 (= (tptp.hAPP (tptp.hAPP @t653 @t417) @t412) @t417)))) % 1.22/1.43 (assume @p568 (forall (@list @t412 @t147 @t145 @t7) (=> @t100 (=> @t707 (tptp.c_Rings_Odvd__class_Odvd @t7 @t673 (tptp.hAPP @t657 @t412)))))) % 1.22/1.43 (assume @p569 (forall @t709 (=> @t505 (= (tptp.hAPP @t677 @t438) (tptp.hAPP (tptp.hAPP @t653 @t708) @t412))))) % 1.22/1.43 (assume @p570 (forall @t66 (=> @t505 (= (tptp.hAPP @t677 @t423) @t12)))) % 1.22/1.43 (assume @p571 (forall @t435 (=> @t347 (=> @t274 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t678))))) % 1.22/1.43 (assume @p572 (forall @t530 (=> @t347 (=> @t247 (=> @t274 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t678 @t676)))))) % 1.22/1.43 (assume @p573 (forall @t435 (=> @t347 (=> @t276 (tptp.c_Orderings_Oord__class_Oless @t7 @t42 @t678))))) % 1.22/1.43 (assume @p574 (forall @t435 (=> @t347 (=> @t710 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t417 @t678))))) % 1.22/1.43 (assume @p575 (forall @t528 (=> (and @t713 (tptp.class_Rings_Omult__zero @t44) (tptp.class_Rings_Ono__zero__divisors @t44) (tptp.class_Rings_Ozero__neq__one @t44)) (= (= @t712 @t49) (and @t51 @t558))))) % 1.22/1.43 (assume @p576 (forall (@list @t424 @t426 @t50 @t44) (=> @t687 (=> (tptp.c_Orderings_Oord__class_Oless @t44 @t440 @t50) (= (= (tptp.hAPP @t711 @t426) @t712) @t445))))) % 1.22/1.43 (assume @p577 (forall @t66 (=> @t714 (= (tptp.hAPP @t677 @t373) @t417)))) % 1.22/1.43 (assume @p578 (forall @t709 (=> @t505 (= (tptp.hAPP @t677 @t491) (tptp.hAPP (tptp.hAPP @t118 @t708) @t678))))) % 1.22/1.43 (assume @p579 (forall (@list @t161 @t32 @t412 @t12 @t7) (=> @t100 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t678 @t32) (=> @t448 (tptp.c_Rings_Odvd__class_Odvd @t7 @t708 @t32)))))) % 1.22/1.43 (assume @p580 (forall (@list @t161 @t412 @t147 @t145 @t7) (=> @t100 (=> @t707 (=> @t447 (tptp.c_Rings_Odvd__class_Odvd @t7 @t673 (tptp.hAPP @t657 @t161))))))) % 1.22/1.43 (assume @p581 (forall @t669 (=> @t100 (=> @t448 (tptp.c_Rings_Odvd__class_Odvd @t7 @t708 @t678))))) % 1.22/1.43 (assume @p582 (forall @t531 (=> @t347 (=> @t679 (=> @t292 @t243))))) % 1.22/1.43 (assume @p583 (forall @t435 (=> @t347 (=> @t681 (tptp.c_Orderings_Oord__class_Oless @t7 @t678 @t704))))) % 1.22/1.43 (assume @p584 (forall @t435 (=> @t347 (=> @t681 (tptp.c_Orderings_Oord__class_Oless @t7 @t417 @t704))))) % 1.22/1.43 (assume @p585 (forall @t527 (=> @t717 (and (=> @t550 (= @t716 @t417)) (=> @t552 (= @t716 @t42)))))) % 1.22/1.43 (assume @p586 (forall @t435 (=> @t718 (= (tptp.hAPP (tptp.hAPP @t653 @t603) @t412) (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP (tptp.hAPP @t653 @t636) @t412)) @t678))))) % 1.22/1.43 (assume @p587 (forall @t722 (=> @t347 (=> @t721 (=> @t681 (tptp.c_Orderings_Oord__class_Oless @t7 @t678 @t720)))))) % 1.22/1.43 (assume @p588 (forall @t709 (=> @t347 (=> @t681 (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t708 @t678) @t459))))) % 1.22/1.43 (assume @p589 (forall @t688 (=> @t687 (=> @t686 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t685 @t684) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t69 @t163)))))) % 1.22/1.43 (assume @p590 (forall @t722 (=> @t347 (=> @t723 (=> @t710 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t678 @t720)))))) % 1.22/1.43 (assume @p591 (forall @t435 (=> @t347 (=> @t276 (=> @t724 (tptp.c_Orderings_Oord__class_Oless @t7 @t704 @t678)))))) % 1.22/1.43 (assume @p592 (forall @t722 (=> @t347 (=> @t721 (=> @t276 (=> @t724 (tptp.c_Orderings_Oord__class_Oless @t7 @t720 @t678))))))) % 1.22/1.43 (assume @p593 (forall @t531 (=> @t347 (=> (= @t678 @t676) (=> @t274 (=> @t292 (=> @t551 @t170))))))) % 1.22/1.43 (assume @p594 (forall @t722 (=> @t347 (=> @t723 (=> @t274 (=> @t725 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t720 @t678))))))) % 1.22/1.43 (assume @p595 (forall @t709 (=> @t347 (=> @t681 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t708 @t678) @t448))))) % 1.22/1.43 (assume @p596 (forall @t526 (=> @t523 (=> @t524 (and @t646 @t726))))) % 1.22/1.43 (assume @p597 (forall @t526 (=> @t523 (=> @t524 @t726)))) % 1.22/1.43 (assume @p598 (forall (@list @t44) (=> @t713 (= @t682 (tptp.c_Power_Opower_Opower @t44 @t440 @t150))))) % 1.22/1.43 (assume @p599 (forall @t439 (=> @t459 @t729))) % 1.22/1.43 (assume @p600 (forall @t413 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t727))) % 1.22/1.43 (assume @p601 (forall @t413 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 @t727))) % 1.22/1.43 (assume @p602 (forall (@list @t306) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t730 @t306))) % 1.22/1.43 (assume @p603 (forall (@list @t426 @t69) (= (= (tptp.hAPP @t697 @t426) @t730) (or @t539 (= @t69 @t730))))) % 1.22/1.43 (assume @p604 (forall @t413 (= (tptp.hAPP (tptp.hAPP @t696 @t730) @t412) @t730))) % 1.22/1.43 (assume @p605 (forall (@list @t424 @t50 @t731 @t732 @t44) (= (tptp.hAPP @t733 @t734) (tptp.hAPP (tptp.hAPP @t731 @t50) (tptp.hAPP @t733 @t424))))) % 1.22/1.43 (assume @p606 (forall @t431 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t736 @t426) (= (= (tptp.hAPP (tptp.hAPP @t692 @t426) @t424) @t735) (and (= @t426 @t735) (= @t424 @t735)))))) % 1.22/1.43 (assume @p607 (forall @t463 (=> @t738 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t736 @t306) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t737 @t460) (tptp.hAPP @t737 @t461)))))) % 1.22/1.43 (assume @p608 (forall (@list @t412 @t144) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t144 @t412) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t736 @t412) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t144 @t412))))) % 1.22/1.43 (assume @p609 (forall @t439 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t736 @t161) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t161 @t412) (not @t739))))) % 1.22/1.43 (assume @p610 (forall @t439 (=> @t741 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 @t412) (=> @t740 (=> @t739 @t453)))))) % 1.22/1.43 (assume @p611 (forall @t486 (= (= @t744 @t743) @t445))) % 1.22/1.43 (assume @p612 (forall @t746 (= (tptp.hAPP @t745 @t735) @t144))) % 1.22/1.43 (assume @p613 (forall @t746 (= (tptp.hAPP (tptp.hAPP @t692 @t735) @t144) @t144))) % 1.22/1.43 (assume @p614 (forall @t439 (= @t748 @t747))) % 1.22/1.43 (assume @p615 (forall @t439 (= @t749 @t747))) % 1.22/1.43 (assume @p616 (forall @t439 (= @t749 @t748))) % 1.22/1.43 (assume @p617 (forall @t753 (= @t752 (tptp.hAPP @t751 @t144)))) % 1.22/1.43 (assume @p618 (forall @t759 (= (tptp.hAPP (tptp.hAPP @t692 (tptp.hAPP @t758 @t755)) @t754) (tptp.hAPP @t758 (tptp.hAPP @t756 @t754))))) % 1.22/1.43 (assume @p619 (forall (@list @t750 @t755 @t757) (= (tptp.hAPP (tptp.hAPP @t692 @t760) @t750) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t758 @t750) (tptp.hAPP @t756 @t750))))) % 1.22/1.43 (assume @p620 (forall (@list @t755 @t757 @t750) (= (tptp.hAPP @t751 @t760) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t751 @t757) (tptp.hAPP @t751 @t755))))) % 1.22/1.43 (assume @p621 (forall @t563 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t737 @t161) (tptp.hAPP @t737 @t412)) (=> (not (= @t306 @t736)) @t740)))) % 1.22/1.43 (assume @p622 (forall (@list @t80 @t761 @t69 @t153 @t50) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t50 @t153) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t50 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t69 @t761)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t50 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t69 (tptp.hAPP (tptp.hAPP @t692 @t80) @t153)) @t761)))))) % 1.22/1.43 (assume @p623 (forall (@list @t761 @t426 @t483) (=> (not (= @t483 @t736)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t426 @t761) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t763 (tptp.hAPP @t762 @t761)))))) % 1.22/1.43 (assume @p624 (forall (@list @t426 @t424 @t483) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t483 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t424 @t763)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t483 @t424)))) % 1.22/1.43 (assume @p625 (forall @t494 (not (= @t373 @t728)))) % 1.22/1.43 (assume @p626 (forall (@list @t764) (not (= @t373 (tptp.c_Nat_OSuc @t764))))) % 1.22/1.43 (assume @p627 (forall @t494 (not (= @t728 @t373)))) % 1.22/1.43 (assume @p628 (forall (@list @t765) (not (= (tptp.c_Nat_OSuc @t765) @t373)))) % 1.22/1.43 (assume @p629 (forall @t439 (=> @t729 @t459))) % 1.22/1.43 (assume @p630 (forall @t439 (=> @t766 @t459))) % 1.22/1.43 (assume @p631 (forall @t439 (=> @t768 (=> @t767 @t453)))) % 1.22/1.43 (assume @p632 (forall @t463 (=> @t478 (=> @t769 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t460) @t306))))) % 1.22/1.43 (assume @p633 (forall @t439 (=> @t459 (=> (not (= @t728 @t412)) @t766)))) % 1.22/1.43 (assume @p634 (forall @t439 (=> @t459 @t768))) % 1.22/1.43 (assume @p635 (forall @t456 (=> (not @t455) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t728) @t453)))) % 1.22/1.43 (assume @p636 (forall @t773 (=> (not @t443) @t772))) % 1.22/1.43 (assume @p637 (forall @t431 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t770 @t734) @t444))) % 1.22/1.43 (assume @p638 (forall @t431 (= @t774 @t450))) % 1.22/1.43 (assume @p639 (forall @t431 (= (not @t444) @t771))) % 1.22/1.43 (assume @p640 (forall @t439 (=> @t775 @t448))) % 1.22/1.43 (assume @p641 (forall @t439 (=> @t776 (=> (not @t448) (= @t161 @t727))))) % 1.22/1.43 (assume @p642 (forall @t439 (=> @t448 @t776))) % 1.22/1.43 (assume @p643 (forall @t773 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t734 @t770) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t424 @t426)))) % 1.22/1.43 (assume @p644 (forall @t431 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t426 @t734) (or @t449 (= @t426 @t734))))) % 1.22/1.43 (assume @p645 (forall @t431 (= (not @t449) @t777))) % 1.22/1.43 (assume @p646 (forall @t413 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t727 @t412)))) % 1.22/1.43 (assume @p647 (forall @t413 (not (= @t412 @t727)))) % 1.22/1.43 (assume @p648 (forall @t413 (not (= @t727 @t412)))) % 1.22/1.43 (assume @p649 (forall (@list @t778 @t779) (= (= (tptp.c_Nat_OSuc @t779) (tptp.c_Nat_OSuc @t778)) (= @t779 @t778)))) % 1.22/1.43 (assume @p650 (forall @t452 (=> (= (tptp.c_Nat_OSuc @t145) (tptp.c_Nat_OSuc @t147)) @t234))) % 1.22/1.43 (assume @p651 (forall @t781 (= @t780 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t153) @t761)))) % 1.22/1.43 (assume @p652 (forall @t781 (= @t780 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t153 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t761))))) % 1.22/1.43 (assume @p653 (forall @t753 (= (tptp.hAPP (tptp.hAPP @t692 @t782) @t750) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t752)))) % 1.22/1.43 (assume @p654 (forall @t527 (=> @t717 (= (tptp.hAPP @t715 @t727) @t42)))) % 1.22/1.43 (assume @p655 (forall @t784 (=> @t100 (= (tptp.hAPP @t659 @t145) @t783)))) % 1.22/1.43 (assume @p656 (forall @t784 (=> @t100 (= @t785 @t783)))) % 1.22/1.43 (assume @p657 (forall @t784 (=> @t100 (= @t783 @t785)))) % 1.22/1.43 (assume @p658 (forall @t435 (=> @t505 (= @t786 @t706)))) % 1.22/1.43 (assume @p659 (forall @t435 (=> @t714 (= @t786 @t704)))) % 1.22/1.43 (assume @p660 (forall @t556 (= @t557 (exists (@list @t787) (= @t424 (tptp.c_Nat_OSuc @t787)))))) % 1.22/1.43 (assume @p661 (forall @t556 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t424 @t730) @t538))) % 1.22/1.43 (assume @p662 (forall @t431 (= @t774 (or @t539 (exists (@list @t788) (and (= @t426 (tptp.c_Nat_OSuc @t788)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t788 @t424))))))) % 1.22/1.43 (assume @p663 (forall @t596 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t426 @t730) @t789))) % 1.22/1.43 (assume @p664 (forall @t431 (= (= @t549 @t730) @t791))) % 1.22/1.43 (assume @p665 (forall @t431 (= (= @t730 @t549) @t791))) % 1.22/1.43 (assume @p666 (forall @t792 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t730 @t460) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t730 @t701)))) % 1.22/1.43 (assume @p667 (forall @t431 (= (= @t429 @t730) (and @t789 @t790)))) % 1.22/1.43 (assume @p668 (forall @t431 (= @t444 (exists @t489 (= @t424 (tptp.c_Nat_OSuc @t488)))))) % 1.22/1.43 (assume @p669 (forall @t793 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t460 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t460))))) % 1.22/1.43 (assume @p670 (forall @t793 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t460 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t460 @t161))))) % 1.22/1.43 (assume @p671 (forall @t773 (= @t443 @t777))) % 1.22/1.43 (assume @p672 (forall @t431 (= @t774 @t449))) % 1.22/1.43 (assume @p673 (forall @t431 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t770 @t424) @t444))) % 1.22/1.43 (assume @p674 (forall @t439 (=> @t448 @t768))) % 1.22/1.43 (assume @p675 (forall @t439 (=> @t459 @t775))) % 1.22/1.43 (assume @p676 (forall @t431 (=> @t449 @t772))) % 1.22/1.43 (assume @p677 (forall @t439 (=> @t775 @t459))) % 1.22/1.43 (assume @p678 (= @t423 @t730)) % 1.22/1.43 (assume @p679 (forall @t486 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t744 @t743) @t444))) % 1.22/1.43 (assume @p680 (forall @t439 (= (tptp.hAPP (tptp.hAPP @t427 @t728) @t412) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t412 @t438)))) % 1.22/1.43 (assume @p681 (forall @t439 (= (tptp.hAPP @t437 @t727) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t438)))) % 1.22/1.43 (assume @p682 (forall @t486 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t744 @t743) @t449))) % 1.22/1.43 (assume @p683 (forall @t413 (= @t727 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t423 @t412)))) % 1.22/1.43 (assume @p684 (forall @t413 (= @t727 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t412 @t423)))) % 1.22/1.43 (assume @p685 (forall @t664 (=> @t55 (= (tptp.hAPP @t663 @t727) @t650)))) % 1.22/1.43 (assume @p686 (forall @t531 (=> @t347 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t786 @t794) (=> @t292 @t247))))) % 1.22/1.43 (assume @p687 (forall @t531 (=> @t347 (=> (= @t786 @t794) (=> @t274 (=> @t292 @t170)))))) % 1.22/1.43 (assume @p688 (forall @t435 (=> @t347 (=> @t681 (tptp.c_Orderings_Oord__class_Oless @t7 @t417 @t786))))) % 1.22/1.43 (assume @p689 (forall @t180 (=> @t53 (= (= (tptp.hAPP (tptp.hAPP @t682 @t69) @t795) (tptp.hAPP (tptp.hAPP @t682 @t163) @t795)) (or @t394 (= @t69 @t607)))))) % 1.22/1.43 (assume @p690 (forall @t456 (=> @t797 (=> @t796 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t438))))) % 1.22/1.43 (assume @p691 (forall @t456 (=> @t797 (=> @t796 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t602))))) % 1.22/1.43 (assume @p692 (forall @t456 (=> @t797 (=> @t796 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t730 @t438))))) % 1.22/1.43 (assume @p693 (forall (@list @t50 @t731 @t732 @t44) (= (tptp.hAPP @t733 @t373) @t732))) % 1.22/1.43 (assume @p694 (forall @t431 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t730 @t429) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t730 @t426) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t730 @t424))))) % 1.22/1.43 (assume @p695 (forall @t510 (=> @t55 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t799 @t798)))) % 1.22/1.43 (assume @p696 (forall @t526 (=> @t55 @t800))) % 1.22/1.43 (assume @p697 (forall @t435 (=> @t55 (= (tptp.c_Polynomial_Omonom @t7 @t12 @t727) (tptp.c_Polynomial_OpCons @t7 @t42 @t433))))) % 1.22/1.43 (assume @p698 (forall (@list @t412 @t168 @t7) (=> @t347 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t42 @t168) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t168 @t417) (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.hAPP (tptp.hAPP @t653 @t168) @t727) @t168)))))) % 1.22/1.43 (assume @p699 (forall @t435 (=> @t347 (=> @t276 (=> @t724 (tptp.c_Orderings_Oord__class_Oless @t7 @t786 @t417)))))) % 1.22/1.43 (assume @p700 (forall @t526 (=> @t55 (and (=> @t24 (= @t799 @t373)) @t800)))) % 1.22/1.43 (assume @p701 (forall @t699 (= @t698 (or @t538 @t695)))) % 1.22/1.43 (assume @p702 (forall @t573 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t795) (or (= @t145 @t373) (= @t145 @t730))))) % 1.22/1.43 (assume @p703 (forall @t803 (=> @t55 (=> (forall @t648 (=> @t802 @t801)) @t515)))) % 1.22/1.43 (assume @p704 (forall @t753 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t804) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t782 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t750))))) % 1.22/1.43 (assume @p705 (forall @t746 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t782) @t144))) % 1.22/1.43 (assume @p706 (forall @t746 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t782 @t144) @t736))) % 1.22/1.43 (assume @p707 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t736) @t736)) % 1.22/1.43 (assume @p708 (forall @t753 (=> @t806 (=> @t805 (= @t144 @t750))))) % 1.22/1.43 (assume @p709 (forall @t463 (=> @t807 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t461 @t306) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t460 @t306))))) % 1.22/1.43 (assume @p710 (forall @t753 (or @t806 @t805))) % 1.22/1.43 (assume @p711 (forall (@list @t750) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t750 @t750))) % 1.22/1.43 (assume @p712 (forall @t746 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t736 @t144) @t144))) % 1.22/1.43 (assume @p713 (forall @t746 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t144 @t736) @t144))) % 1.22/1.43 (assume @p714 (forall @t759 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t760 @t754) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t757 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t755 @t754))))) % 1.22/1.43 (assume @p715 (forall @t582 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t145 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t147 @t144)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t147 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t145 @t144))))) % 1.22/1.43 (assume @p716 (forall @t753 (= @t804 @t808))) % 1.22/1.43 (assume @p717 (forall (@list @t164 @t101) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t101 @t164) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t101 @t164) (not (= @t101 @t164)))))) % 1.22/1.43 (assume @p718 (forall @t452 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t145 @t147) @t234 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t147 @t145)))) % 1.22/1.43 (assume @p719 (forall (@list @t144 @t809 @t750 @t810) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t810 @t750) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t809 @t144) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t810 @t809) @t808))))) % 1.22/1.43 (assume @p720 (forall @t463 (=> @t807 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t306 @t460) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t306 @t461))))) % 1.22/1.43 (assume @p721 (forall @t463 (=> @t738 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t460 @t306) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t461 @t306))))) % 1.22/1.43 (assume @p722 (forall (@list @t144 @t750) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t750 @t144) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t750 @t735) @t144)))) % 1.22/1.43 (assume @p723 (forall @t812 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t164 @t735) @t101) @t811))) % 1.22/1.43 (assume @p724 (forall @t812 (= @t813 (or @t811 (= @t164 @t101))))) % 1.22/1.43 (assume @p725 (forall @t812 (= @t813 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t164 @t101)))) % 1.22/1.43 (assume @p726 (forall @t746 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t814 @t144) @t736)))) % 1.22/1.43 (assume @p727 (not (= @t736 @t735))) % 1.22/1.43 (assume @p728 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t736 @t735)) % 1.22/1.43 (assume @p729 (forall @t815 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t735 @t101) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t736 @t101)))) % 1.22/1.43 (assume @p730 (forall @t815 (= (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 @t735 @t101) @t101) @t736) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t101 @t736)))) % 1.22/1.43 (assume @p731 (forall @t746 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 @t144) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t736 @t814)))) % 1.22/1.43 (assume @p732 (forall @t819 (=> @t818 (=> @t817 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t168 @t12) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t735 @t37)))))) % 1.22/1.43 (assume @p733 (forall @t819 (=> @t818 (=> @t817 (=> @t820 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t37 @t735)))))) % 1.22/1.43 (assume @p734 (forall @t825 (=> @t824 (=> @t822 (=> @t821 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 @t217)))))) % 1.22/1.43 (assume @p735 (forall @t825 (=> @t827 (=> @t826 (=> @t821 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t217 @t736)))))) % 1.22/1.43 (assume @p736 (forall @t833 (=> @t832 (=> @t826 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t215 @t32) (=> @t829 @t828)))))) % 1.22/1.43 (assume @p737 (forall @t837 (=> @t836 (=> @t824 (=> @t822 (=> @t820 (=> @t821 (=> @t835 @t834)))))))) % 1.22/1.43 (assume @p738 (forall @t833 (=> @t832 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t168 @t736) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t32 @t168) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t32 @t215) @t834)))))) % 1.22/1.43 (assume @p739 (forall @t837 (=> @t836 (=> @t827 (=> @t829 (=> @t826 (=> @t821 (=> @t835 @t828)))))))) % 1.22/1.43 (assume @p740 (forall (@list @t412 @t145) (=> @t838 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 (tptp.hAPP @t690 @t412))))) % 1.22/1.43 (assume @p741 (forall @t452 (=> @t838 (=> @t839 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 (tptp.hAPP (tptp.hAPP @t692 @t145) @t147)))))) % 1.22/1.43 (assume @p742 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 @t736)) % 1.22/1.43 (assume @p743 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 @t735)) % 1.22/1.43 (assume @p744 (forall @t452 (=> @t838 (=> @t839 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t145 @t147)))))) % 1.22/1.43 (assume @p745 (forall @t225 (=> @t219 (and (=> @t843 (= @t841 @t42)) (=> @t844 (= @t841 @t417)))))) % 1.22/1.43 (assume @p746 (forall (@list @t483 @t364 @t153) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t736 @t153) (=> (forall @t6 (=> @t365 (tptp.hBOOL (tptp.hAPP @t364 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t153))))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 @t483) (forall @t6 (=> @t365 (tptp.hBOOL (tptp.hAPP @t364 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 (tptp.hAPP @t762 @t153))))))))))) % 1.22/1.43 (assume @p747 (forall @t225 (=> @t219 (tptp.c_Rings_Odvd__class_Odvd @t8 @t840 @t147)))) % 1.22/1.43 (assume @p748 (forall @t225 (=> @t219 (tptp.c_Rings_Odvd__class_Odvd @t8 @t840 @t145)))) % 1.22/1.43 (assume @p749 (forall @t56 (=> @t219 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t9 @t9) @t9)))) % 1.22/1.43 (assume @p750 (forall @t180 (=> @t229 (= (= @t845 @t46) (and (= @t69 @t46) @t422))))) % 1.22/1.43 (assume @p751 (forall @t225 (=> @t219 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t846 @t147) @t840)))) % 1.22/1.43 (assume @p752 (forall @t225 (=> @t219 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t145 @t847) @t840)))) % 1.22/1.43 (assume @p753 (forall @t202 (=> @t219 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t436 @t147) @t436)))) % 1.22/1.43 (assume @p754 (forall @t211 (=> @t219 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t145 @t436) @t436)))) % 1.22/1.43 (assume @p755 (forall @t140 (=> @t219 (= @t848 (tptp.c_Polynomial_Opoly__gcd @t7 @t32 @t12))))) % 1.22/1.43 (assume @p756 (forall @t76 (=> @t219 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t32 (tptp.c_Polynomial_Opoly__gcd @t7 @t12 @t25)) @t849)))) % 1.22/1.43 (assume @p757 (forall @t79 (=> @t219 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t848 @t25) @t849)))) % 1.22/1.43 (assume @p758 (forall (@list @t163 @t69 @t483 @t44) (=> @t229 (= (tptp.c_Rings_Odvd__class_Odvd @t45 @t483 @t845) (and (tptp.c_Rings_Odvd__class_Odvd @t45 @t483 @t69) (tptp.c_Rings_Odvd__class_Odvd @t45 @t483 @t163)))))) % 1.22/1.43 (assume @p759 (forall (@list @t147 @t145 @t306 @t7) (=> @t219 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t306 @t145) (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t306 @t147) (tptp.c_Rings_Odvd__class_Odvd @t8 @t306 @t840)))))) % 1.22/1.43 (assume @p760 (forall (@list @t147 @t145 @t114 @t7) (=> @t219 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t114 @t145) (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t114 @t147) (=> (forall @t489 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t487 @t145) (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t487 @t147) (tptp.c_Rings_Odvd__class_Odvd @t8 @t487 @t114)))) (=> (and (=> @t843 (= @t850 @t42)) (=> @t844 (= @t850 @t417))) (= @t840 @t114)))))))) % 1.22/1.43 (assume @p761 (forall @t211 (=> @t219 (= (tptp.c_Polynomial_Opoly__gcd @t7 @t145 @t9) @t852)))) % 1.22/1.43 (assume @p762 (forall @t435 (=> @t855 @t854))) % 1.22/1.43 (assume @p763 (forall @t140 (=> @t855 (=> @t857 @t170)))) % 1.22/1.43 (assume @p764 (forall @t210 (=> @t859 (= (= @t858 (tptp.c_Rings_Oinverse__class_Oinverse @t44 @t81)) @t93)))) % 1.22/1.43 (assume @p765 (forall @t66 (=> @t855 @t860))) % 1.22/1.43 (assume @p766 (forall @t435 (=> @t861 (=> @t208 @t854)))) % 1.22/1.43 (assume @p767 (forall @t140 (=> @t861 (=> (= @t122 @t417) (= @t853 @t32))))) % 1.22/1.43 (assume @p768 (forall @t66 (=> @t861 (=> @t208 @t862)))) % 1.22/1.43 (assume @p769 (forall @t140 (=> @t861 (=> @t208 (=> @t207 (= @t863 (tptp.hAPP (tptp.hAPP @t118 @t856) @t853))))))) % 1.22/1.43 (assume @p770 (forall @t140 (=> @t861 (=> @t857 (=> @t208 (=> @t207 @t170)))))) % 1.22/1.43 (assume @p771 (forall @t66 (=> @t861 (=> @t864 @t204)))) % 1.22/1.43 (assume @p772 (forall @t66 (=> @t861 (=> @t208 @t860)))) % 1.22/1.43 (assume @p773 (forall @t66 (=> @t861 (=> @t208 (not @t864))))) % 1.22/1.43 (assume @p774 (forall @t97 (=> @t859 (= (= @t858 @t49) @t51)))) % 1.22/1.43 (assume @p775 (forall @t56 (=> @t855 @t865))) % 1.22/1.43 (assume @p776 (forall @t56 (=> @t861 (= (tptp.c_Rings_Oinverse__class_Oinverse @t7 @t417) @t417)))) % 1.22/1.43 (assume @p777 (forall @t66 (=> @t855 @t862))) % 1.22/1.43 (assume @p778 (forall @t140 (=> @t861 (=> @t208 (=> @t207 (= @t867 (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP @t866 @t35)) @t856))))))) % 1.22/1.43 (assume @p779 (forall @t66 (=> @t861 @t868))) % 1.22/1.43 (assume @p780 (forall @t66 (=> @t861 (=> @t208 (= (tptp.hAPP @t121 @t853) @t417))))) % 1.22/1.43 (assume @p781 (forall (@list @t168 @t37 @t147 @t145 @t12 @t7) (=> @t219 (=> @t208 (=> @t218 (tptp.c_Polynomial_Opdivmod__rel @t7 @t145 @t869 (tptp.c_Polynomial_Osmult @t7 @t853 @t37) @t168)))))) % 1.22/1.43 (assume @p782 (forall @t66 (=> @t870 (=> @t276 (=> @t725 (tptp.c_Orderings_Oord__class_Oless__eq @t7 @t417 @t853)))))) % 1.22/1.43 (assume @p783 (forall @t71 (=> @t873 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t872 @t440) (or @t871 (tptp.c_Orderings_Oord__class_Oless @t44 @t440 @t69)))))) % 1.22/1.43 (assume @p784 (forall @t56 (=> @t874 @t865))) % 1.22/1.43 (assume @p785 (forall @t140 (=> @t874 (= @t863 (tptp.hAPP @t866 @t856))))) % 1.22/1.43 (assume @p786 (forall @t71 (=> (tptp.class_Fields_Ofield__inverse__zero @t44) (= (= @t872 @t440) @t441)))) % 1.22/1.43 (assume @p787 (forall @t97 (=> @t873 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t49 @t858) @t351)))) % 1.22/1.43 (assume @p788 (forall @t97 (=> @t873 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t858 @t49) @t349)))) % 1.22/1.43 (assume @p789 (forall @t97 (=> @t873 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t49 @t858) @t346)))) % 1.22/1.43 (assume @p790 (forall @t97 (=> @t873 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t858 @t49) @t343)))) % 1.22/1.43 (assume @p791 (forall @t66 (=> @t870 (=> @t276 @t875)))) % 1.22/1.43 (assume @p792 (forall @t66 (=> @t870 (=> @t875 (=> @t208 @t276))))) % 1.22/1.43 (assume @p793 (forall @t66 (=> @t870 (=> @t301 @t876)))) % 1.22/1.43 (assume @p794 (forall @t140 (=> @t870 (=> @t243 (=> @t276 @t877))))) % 1.22/1.43 (assume @p795 (forall @t140 (=> @t870 (=> @t243 (=> @t302 @t877))))) % 1.22/1.43 (assume @p796 (forall @t66 (=> @t870 (=> @t876 (=> @t208 @t301))))) % 1.22/1.43 (assume @p797 (forall @t140 (=> @t870 (=> @t878 (=> @t276 @t342))))) % 1.22/1.43 (assume @p798 (forall @t140 (=> @t870 (=> @t878 (=> @t302 @t342))))) % 1.22/1.43 (assume @p799 (forall @t140 (=> @t870 (=> @t879 (=> @t302 @t359))))) % 1.22/1.43 (assume @p800 (forall @t140 (=> @t870 (=> @t879 (=> @t276 @t359))))) % 1.22/1.43 (assume @p801 (forall @t140 (=> @t870 (=> @t247 (=> @t302 @t880))))) % 1.22/1.43 (assume @p802 (forall @t140 (=> @t870 (=> @t247 (=> @t276 @t880))))) % 1.22/1.43 (assume @p803 (forall @t71 (=> @t873 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t872 @t440) (or @t871 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t440 @t69)))))) % 1.22/1.43 (assume @p804 (forall @t140 (=> @t219 (=> @t208 (=> @t207 (= @t867 (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP @t159 @t853)) @t856))))))) % 1.22/1.43 (assume @p805 (forall @t71 (=> @t873 (= (tptp.c_Orderings_Oord__class_Oless @t44 @t440 @t872) (and @t881 (tptp.c_Orderings_Oord__class_Oless @t44 @t69 @t440)))))) % 1.22/1.43 (assume @p806 (forall @t66 (=> @t870 (=> @t276 (=> @t724 (tptp.c_Orderings_Oord__class_Oless @t7 @t417 @t853)))))) % 1.22/1.43 (assume @p807 (forall @t66 (=> @t219 @t868))) % 1.22/1.43 (assume @p808 (forall @t71 (=> @t873 (= (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t440 @t872) (and @t881 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t69 @t440)))))) % 1.22/1.43 (assume @p809 (forall @t401 (=> @t219 (and (=> @t842 (= @t840 @t852)) @t884)))) % 1.22/1.43 (assume @p810 (forall @t225 (=> (tptp.class_Fields_Olinordered__field__inverse__zero @t7) (=> (forall (@list @t885) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t42 @t885) (=> (tptp.c_Orderings_Oord__class_Oless @t7 @t885 @t417) (tptp.c_Orderings_Oord__class_Oless__eq @t7 (tptp.hAPP (tptp.hAPP @t118 @t885) @t145) @t147)))) @t381)))) % 1.22/1.43 (assume @p811 (forall @t401 (=> @t219 @t884))) % 1.22/1.43 (assume @p812 (forall @t338 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t139 @t32) @t42)))) % 1.22/1.43 (assume @p813 (forall @t140 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t122 @t32) @t42)))) % 1.22/1.43 (assume @p814 (forall @t281 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t283) @t32) @t887)))) % 1.22/1.43 (assume @p815 (forall @t79 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t12 @t120) @t32) @t887)))) % 1.22/1.43 (assume @p816 (forall @t140 (=> @t886 (=> @t240 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t32 @t12) @t42))))) % 1.22/1.43 (assume @p817 (forall @t210 (=> @t888 (= @t328 (= (tptp.c_Divides_Odiv__class_Omod @t44 @t81 @t50) @t49))))) % 1.22/1.43 (assume @p818 (forall @t140 (=> @t890 (= @t889 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t887) @t32))))) % 1.22/1.43 (assume @p819 (forall (@list @t191 @t32 @t12 @t7) (=> @t890 (=> (= @t887 (tptp.c_Divides_Odiv__class_Omod @t7 @t191 @t32)) (= @t889 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t191) @t32)))))) % 1.22/1.43 (assume @p820 (forall @t66 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t12 @t12) @t42)))) % 1.22/1.43 (assume @p821 (forall @t66 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t12 @t42) @t12)))) % 1.22/1.43 (assume @p822 (forall @t66 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t42 @t12) @t42)))) % 1.22/1.43 (assume @p823 (forall @t66 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t12 @t417) @t42)))) % 1.22/1.43 (assume @p824 (forall @t896 (=> @t886 (=> @t895 (=> @t893 (= @t891 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t191 @t181) @t25))))))) % 1.22/1.43 (assume @p825 (forall @t281 (=> @t886 (= @t897 @t891)))) % 1.22/1.43 (assume @p826 (forall @t79 (=> @t886 (= @t898 @t891)))) % 1.22/1.43 (assume @p827 (forall @t79 (=> @t886 (= @t891 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 @t894 @t892) @t25))))) % 1.22/1.43 (assume @p828 (forall @t79 (=> @t886 (= @t891 @t897)))) % 1.22/1.43 (assume @p829 (forall @t79 (=> @t886 (= @t891 @t898)))) % 1.22/1.43 (assume @p830 (forall @t338 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t74 @t32) @t887)))) % 1.22/1.43 (assume @p831 (forall @t140 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t35 @t32) @t887)))) % 1.22/1.43 (assume @p832 (forall @t140 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t887 @t32) @t887)))) % 1.22/1.43 (assume @p833 (forall @t902 (=> @t886 (=> @t901 (=> @t900 @t899))))) % 1.22/1.43 (assume @p834 (forall @t902 (=> @t886 (=> @t899 (=> @t900 @t901))))) % 1.22/1.43 (assume @p835 (forall @t363 (=> @t886 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t25 @t32) (= (tptp.c_Divides_Odiv__class_Omod @t7 @t887 @t25) @t894))))) % 1.22/1.43 (assume @p836 (forall (@list @t426 @t424 @t483 @t44) (=> @t888 (=> (tptp.c_Rings_Odvd__class_Odvd @t44 @t483 @t424) (= (tptp.c_Rings_Odvd__class_Odvd @t44 @t483 (tptp.c_Divides_Odiv__class_Omod @t44 @t426 @t424)) (tptp.c_Rings_Odvd__class_Odvd @t44 @t483 @t426)))))) % 1.22/1.43 (assume @p837 (forall @t79 (=> @t886 (= @t903 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.hAPP @t121 @t892) @t25))))) % 1.22/1.43 (assume @p838 (forall @t79 (=> @t886 (= @t903 @t905)))) % 1.22/1.43 (assume @p839 (forall @t79 (=> @t886 (= @t903 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.hAPP @t904 @t892) @t25))))) % 1.22/1.43 (assume @p840 (forall @t287 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t284 @t283) (tptp.hAPP @t282 @t887))))) % 1.22/1.43 (assume @p841 (forall @t281 (=> @t886 (= (tptp.c_Divides_Odiv__class_Omod @t7 @t158 @t120) (tptp.hAPP (tptp.hAPP @t118 @t887) @t25))))) % 1.22/1.43 (assume @p842 (forall @t281 (=> @t886 (= @t905 @t903)))) % 1.22/1.43 (assume @p843 (forall @t896 (=> @t886 (=> @t895 (=> @t893 (= @t903 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.hAPP @t192 @t181) @t25))))))) % 1.22/1.43 (assume @p844 (forall (@list @t168 @t37 @t147 @t145 @t7) (=> @t219 (=> @t218 (= @t882 @t168))))) % 1.22/1.43 (assume @p845 (forall @t906 (=> @t219 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t327 @t147) (tptp.c_Polynomial_Osmult @t7 @t12 @t882))))) % 1.22/1.43 (assume @p846 (forall @t225 (=> @t219 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t851 @t907) (= @t882 @t145))))) % 1.22/1.43 (assume @p847 (forall @t906 (=> @t219 (=> @t208 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t145 @t869) @t882))))) % 1.22/1.43 (assume @p848 (forall @t225 (=> @t219 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t145 @t847) @t882)))) % 1.22/1.43 (assume @p849 (forall @t225 (=> @t219 (= (tptp.c_Divides_Odiv__class_Omod @t8 @t846 @t147) (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t882))))) % 1.22/1.43 (assume @p850 (forall @t401 (=> @t219 (=> @t883 (or (= @t882 @t9) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t7 @t882) @t907)))))) % 1.22/1.43 (assume @p851 (forall @t803 (=> @t55 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t508) (exists @t648 (and @t802 (not @t801))))))) % 1.22/1.43 (assume @p852 (forall @t680 (=> @t505 (=> @t551 (= (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP @t654 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t412 @t423))) @t145) @t673))))) % 1.22/1.43 (assume @p853 (forall @t910 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t426 @t153) @t736) (exists @t909 (= @t426 (tptp.hAPP (tptp.hAPP @t692 @t153) @t908)))))) % 1.22/1.43 (assume @p854 (forall @t439 (and (=> @t914 (= @t913 @t373)) (=> (not @t914) (= @t913 @t912))))) % 1.22/1.43 (assume @p855 (forall @t494 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t161 @t730) @t373))) % 1.22/1.43 (assume @p856 (forall @t916 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t915 @t412) @t911))) % 1.22/1.43 (assume @p857 (forall @t910 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t426 @t153) @t373) (exists @t909 (= @t426 (tptp.hAPP (tptp.hAPP @t427 @t153) @t908)))))) % 1.22/1.43 (assume @p858 (forall @t586 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t12 @t918) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t917 @t32))))) % 1.22/1.43 (assume @p859 (forall @t586 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t917 @t918) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t919)))) % 1.22/1.43 (assume @p860 (forall (@list @t161 @t145) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t920) @t161) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t145) @t161)))) % 1.22/1.43 (assume @p861 (forall @t922 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t306 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t472)) @t736)) @t921))) % 1.22/1.43 (assume @p862 (forall @t922 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t306) @t472) @t736)) @t921))) % 1.22/1.43 (assume @p863 (forall @t456 (=> @t551 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t911 @t412)))) % 1.22/1.43 (assume @p864 (forall (@list @t306 @t161) (=> @t741 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t161 @t306) @t161)))) % 1.22/1.43 (assume @p865 (forall @t452 (=> @t838 (=> @t839 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t736 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t145 @t147)))))) % 1.22/1.43 (assume @p866 (forall @t439 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t911 @t161))) % 1.22/1.43 (assume @p867 (forall @t456 (=> @t447 @t924))) % 1.22/1.43 (assume @p868 (forall (@list @t32) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t736 @t32) @t736))) % 1.22/1.43 (assume @p869 (forall (@list @t12) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t12 @t12) @t736))) % 1.22/1.43 (assume @p870 (forall @t439 @t925)) % 1.22/1.43 (assume @p871 (forall @t439 @t926)) % 1.22/1.43 (assume @p872 (forall @t439 (and @t925 @t926))) % 1.22/1.43 (assume @p873 (forall @t929 (=> @t928 @t927))) % 1.22/1.43 (assume @p874 (forall @t929 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t736 @t32) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t919 @t32)))) % 1.22/1.43 (assume @p875 (forall @t896 (=> @t890 (=> @t895 (=> @t893 (= @t931 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t191 @t181) @t25))))))) % 1.22/1.43 (assume @p876 (forall @t79 (=> @t890 (= @t931 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t894 @t892) @t25))))) % 1.22/1.43 (assume @p877 (forall @t79 (=> @t890 (= @t931 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t894 @t32) @t25))))) % 1.22/1.43 (assume @p878 (forall @t79 (=> @t890 (= @t931 (tptp.c_Divides_Odiv__class_Omod @t7 (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t892) @t25))))) % 1.22/1.43 (assume @p879 (forall @t439 (= @t913 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t912 @t412)))) % 1.22/1.43 (assume @p880 (forall @t563 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t306 @t932) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t306 @t412) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t306 @t161))))) % 1.22/1.43 (assume @p881 (forall (@list @t412 @t161 @t933) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t933 @t161) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t933 @t412) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t933 @t932))))) % 1.22/1.43 (assume @p882 (forall @t589 (= @t935 @t934))) % 1.22/1.43 (assume @p883 (forall @t589 (= @t934 @t935))) % 1.22/1.43 (assume @p884 (forall @t600 (= (tptp.hAPP (tptp.hAPP @t427 @t911) @t306) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t599 @t598)))) % 1.22/1.43 (assume @p885 (forall @t563 (= (tptp.hAPP @t499 @t911) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t562 @t561)))) % 1.22/1.43 (assume @p886 (forall (@list @t147 @t161 @t145) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t689 @t920) @t147) @t161) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t691 @t161)))) % 1.22/1.43 (assume @p887 (forall @t140 (=> @t604 (= (tptp.c_Groups_Ouminus__class_Ouminus @t7 @t930) @t936)))) % 1.22/1.43 (assume @p888 (forall @t439 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t923 @t161))) % 1.22/1.43 (assume @p889 (forall @t939 (=> @t448 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t938 @t937)))) % 1.22/1.43 (assume @p890 (forall @t939 (=> @t448 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t161 @t472) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t412 @t472))))) % 1.22/1.43 (assume @p891 (forall @t792 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t460 @t412) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t412 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t412 @t460)) @t460)))) % 1.22/1.43 (assume @p892 (forall @t486 (=> @t943 (=> @t942 (= (= @t941 @t940) @t445))))) % 1.22/1.43 (assume @p893 (forall @t563 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t306 @t161) (=> @t466 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t161 @t306) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t412 @t306)) @t923))))) % 1.22/1.43 (assume @p894 (forall @t486 (=> @t943 (=> @t942 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t941 @t940) @t449))))) % 1.22/1.43 (assume @p895 (forall (@list @t412 @t306 @t461) (=> @t769 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t461 @t412) @t306)))) % 1.22/1.43 (assume @p896 (forall @t939 (=> @t459 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t161 @t472) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t938 @t937))))) % 1.22/1.43 (assume @p897 (forall @t439 (=> @t944 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t412 @t161) @t373) @t453)))) % 1.22/1.43 (assume @p898 (forall @t494 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t161 @t161) @t373))) % 1.22/1.43 (assume @p899 (forall @t494 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t161 @t373) @t161))) % 1.22/1.43 (assume @p900 (forall @t413 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t373 @t412) @t373))) % 1.22/1.43 (assume @p901 (forall @t140 (=> @t623 (= (tptp.c_Groups_Oplus__class_Oplus @t7 @t930 @t32) @t12)))) % 1.22/1.43 (assume @p902 (forall @t140 (=> @t623 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t35 @t32) @t12)))) % 1.22/1.43 (assume @p903 (forall @t157 (=> @t626 (=> @t946 (= @t308 (tptp.c_Orderings_Oord__class_Oless @t44 @t80 @t153)))))) % 1.22/1.43 (assume @p904 (forall @t157 (=> @t626 (=> @t946 (= @t260 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t80 @t153)))))) % 1.22/1.43 (assume @p905 (forall @t66 (=> @t623 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t42) @t12)))) % 1.22/1.43 (assume @p906 (forall @t66 (=> @t623 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t12) @t42)))) % 1.22/1.43 (assume @p907 (forall @t210 (=> @t615 (= @t93 @t947)))) % 1.22/1.43 (assume @p908 (forall @t210 (=> @t621 (= @t947 @t93)))) % 1.22/1.43 (assume @p909 (forall @t469 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t467 @t606) @t923))) % 1.22/1.43 (assume @p910 (forall @t563 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t306 @t161) @t471) @t923))) % 1.22/1.43 (assume @p911 (forall @t463 (= @t948 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t460 @t479)))) % 1.22/1.43 (assume @p912 (forall @t456 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t490 @t412) @t161))) % 1.22/1.43 (assume @p913 (forall @t439 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t491 @t412) @t161))) % 1.22/1.43 (assume @p914 (forall @t210 (=> @t626 (= @t260 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t945 @t49))))) % 1.22/1.43 (assume @p915 (forall @t210 (=> @t626 (= @t308 (tptp.c_Orderings_Oord__class_Oless @t44 @t945 @t49))))) % 1.22/1.43 (assume @p916 (forall @t955 (=> @t954 (= @t953 (= @t950 @t153))))) % 1.22/1.43 (assume @p917 (forall @t955 (=> @t954 (= @t953 (= @t80 @t956))))) % 1.22/1.43 (assume @p918 (forall @t961 (=> @t183 (= @t960 (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t958 @t957) @t959) (tptp.hAPP @t121 @t957)))))) % 1.22/1.43 (assume @p919 (forall @t961 (=> @t629 (= @t960 (tptp.c_Groups_Oplus__class_Oplus @t7 (tptp.hAPP @t146 @t957) @t959))))) % 1.22/1.43 (assume @p920 (forall @t66 (=> @t623 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t42 @t12) @t603)))) % 1.22/1.43 (assume @p921 (forall @t225 (=> @t569 (= @t962 (tptp.c_Groups_Oplus__class_Oplus @t7 @t145 @t624))))) % 1.22/1.43 (assume @p922 (forall @t140 (=> @t623 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t625) @t35)))) % 1.22/1.43 (assume @p923 (forall @t140 (=> @t604 @t963))) % 1.22/1.43 (assume @p924 (forall @t140 (=> @t623 @t963))) % 1.22/1.43 (assume @p925 (forall @t456 (=> @t551 (=> @t555 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t923 @t161))))) % 1.22/1.43 (assume @p926 (forall @t773 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t373 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t424 @t426)) @t444))) % 1.22/1.43 (assume @p927 (forall @t439 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t923 @t728))) % 1.22/1.43 (assume @p928 (forall @t456 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t412 @t490) @t373))) % 1.22/1.43 (assume @p929 (forall @t439 (=> @t448 @t944))) % 1.22/1.43 (assume @p930 (forall @t431 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t426 @t424) @t373) @t449))) % 1.22/1.43 (assume @p931 (forall @t456 (=> @t447 (= @t964 (tptp.c_Nat_OSuc @t923))))) % 1.22/1.43 (assume @p932 (forall @t969 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t966 @t968) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t967 @t965)))) % 1.22/1.43 (assume @p933 (forall @t439 (=> @t767 @t970))) % 1.22/1.43 (assume @p934 (forall @t486 (=> @t943 (=> @t942 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t941 @t940) @t444))))) % 1.22/1.43 (assume @p935 (forall @t589 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t32) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t12) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t12 @t25) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t32 @t25)))))) % 1.22/1.43 (assume @p936 (forall @t563 (=> @t972 (=> @t971 (=> @t447 @t553))))) % 1.22/1.43 (assume @p937 (forall @t563 (=> @t972 (=> @t553 (=> @t447 @t971))))) % 1.22/1.43 (assume @p938 (forall @t975 (=> @t974 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t460 @t973) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t475 @t461))))) % 1.22/1.43 (assume @p939 (forall (@list @t966 @t483 @t965) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t968 @t966) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t965 @t967)))) % 1.22/1.43 (assume @p940 (forall @t916 (=> @t466 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t161 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t490 @t306))))) % 1.22/1.43 (assume @p941 (forall @t456 (=> @t447 @t970))) % 1.22/1.43 (assume @p942 (forall @t975 (=> @t974 (= @t977 @t976)))) % 1.22/1.43 (assume @p943 (forall (@list @t966 @t965 @t483) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t483 @t965) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t966 @t968) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t967 @t965))))) % 1.22/1.43 (assume @p944 (forall @t456 (=> @t447 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t923 @t412) @t161)))) % 1.22/1.43 (assume @p945 (forall @t969 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t966 @t965) (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t965 @t966) @t483) (= @t965 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t483 @t966)))))) % 1.22/1.43 (assume @p946 (forall @t975 (=> @t974 (= @t976 @t977)))) % 1.22/1.43 (assume @p947 (forall @t975 (=> @t974 (= @t979 @t978)))) % 1.22/1.43 (assume @p948 (forall @t975 (=> @t974 (= @t978 @t979)))) % 1.22/1.43 (assume @p949 (forall @t413 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t727 @t423) @t412))) % 1.22/1.43 (assume @p950 (forall @t439 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t161 @t727) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t161 @t423) @t412)))) % 1.22/1.43 (assume @p951 (forall @t331 (=> @t618 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t7 @t980) @t145) (tptp.c_Groups_Ominus__class_Ominus @t7 @t213 @t330))))) % 1.22/1.43 (assume @p952 (forall @t157 (=> @t615 (=> @t946 (= @t93 @t156))))) % 1.22/1.43 (assume @p953 (forall @t36 (=> @t618 (= (tptp.c_Polynomial_Osmult @t7 @t930 @t18) (tptp.c_Groups_Ominus__class_Ominus @t8 @t34 @t33))))) % 1.22/1.43 (assume @p954 (forall @t41 (=> @t604 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t20 @t39) (tptp.c_Polynomial_OpCons @t7 @t930 @t980))))) % 1.22/1.43 (assume @p955 (forall (@list @t69 @t981 @t610 @t102 @t44) (=> (tptp.class_Groups_Ominus @t44) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t612 @t610 @t981) @t69) (tptp.c_Groups_Ominus__class_Ominus @t44 @t611 (tptp.hAPP @t981 @t69)))))) % 1.22/1.43 (assume @p956 (forall @t463 (= @t948 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t460 @t306) @t461)))) % 1.22/1.43 (assume @p957 (forall @t531 (=> @t604 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t433 @t529) (tptp.c_Polynomial_Omonom @t7 @t930 @t412))))) % 1.22/1.43 (assume @p958 (forall @t667 (=> @t604 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t7 @t980) @t412) (tptp.c_Groups_Ominus__class_Ominus @t7 @t650 @t666))))) % 1.22/1.43 (assume @p959 (forall @t600 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t964 (tptp.c_Nat_OSuc @t306)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t923 @t306)))) % 1.22/1.43 (assume @p960 (forall @t439 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t728 @t727) @t923))) % 1.22/1.43 (assume @p961 (forall @t149 (=> @t569 (=> @t707 (=> (tptp.c_Rings_Odvd__class_Odvd @t7 @t145 @t144) (tptp.c_Rings_Odvd__class_Odvd @t7 @t145 (tptp.c_Groups_Ominus__class_Ominus @t7 @t147 @t144))))))) % 1.22/1.43 (assume @p962 (forall @t199 (=> @t183 (= (tptp.hAPP (tptp.hAPP @t118 @t962) @t195) (tptp.c_Groups_Ominus__class_Ominus @t7 @t198 @t197))))) % 1.22/1.43 (assume @p963 (forall @t194 (=> @t183 (= (tptp.hAPP (tptp.hAPP @t118 (tptp.c_Groups_Ominus__class_Ominus @t7 @t12 @t191)) @t32) (tptp.c_Groups_Ominus__class_Ominus @t7 @t122 @t193))))) % 1.22/1.43 (assume @p964 (forall @t190 (=> @t183 (= (tptp.hAPP @t186 @t962) (tptp.c_Groups_Ominus__class_Ominus @t7 @t188 @t187))))) % 1.22/1.43 (assume @p965 (forall @t184 (=> @t183 (= (tptp.hAPP @t121 (tptp.c_Groups_Ominus__class_Ominus @t7 @t32 @t181)) (tptp.c_Groups_Ominus__class_Ominus @t7 @t122 @t182))))) % 1.22/1.43 (assume @p966 (forall @t563 (= (tptp.hAPP @t499 @t923) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t562 @t561)))) % 1.22/1.43 (assume @p967 (forall @t600 (= (tptp.hAPP (tptp.hAPP @t427 @t923) @t306) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t599 @t598)))) % 1.22/1.43 (assume @p968 (forall @t563 (=> @t971 (=> @t553 @t972)))) % 1.22/1.43 (assume @p969 (forall @t955 (=> @t983 (= @t982 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t80 @t956))))) % 1.22/1.43 (assume @p970 (forall @t955 (=> @t983 (= @t982 (tptp.c_Orderings_Oord__class_Oless__eq @t44 @t950 @t153))))) % 1.22/1.43 (assume @p971 (forall @t955 (=> @t983 (= @t984 (tptp.c_Orderings_Oord__class_Oless @t44 @t80 @t956))))) % 1.22/1.43 (assume @p972 (forall @t955 (=> @t983 (= @t984 (tptp.c_Orderings_Oord__class_Oless @t44 @t950 @t153))))) % 1.22/1.43 (assume @p973 (forall @t211 (=> @t718 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t222 @t417) (tptp.hAPP (tptp.hAPP @t118 (tptp.c_Groups_Oplus__class_Oplus @t7 @t145 @t417)) (tptp.c_Groups_Ominus__class_Ominus @t7 @t145 @t417)))))) % 1.22/1.43 (assume @p974 (forall (@list @t761 @t985 @t153 @t44) (=> (and (tptp.class_Rings_Ocomm__ring @t44) @t367) (=> (tptp.c_Rings_Odvd__class_Odvd @t44 @t153 @t985) (forall (@list @t3 @t487) (= (tptp.c_Rings_Odvd__class_Odvd @t44 @t153 (tptp.c_Groups_Oplus__class_Oplus @t44 @t3 @t761)) (tptp.c_Rings_Odvd__class_Odvd @t44 @t153 (tptp.c_Groups_Oplus__class_Oplus @t44 (tptp.c_Groups_Ominus__class_Ominus @t44 @t3 (tptp.hAPP (tptp.hAPP @t150 @t487) @t985)) @t761)))))))) % 1.22/1.43 (assume @p975 (forall @t140 (=> @t861 (=> @t208 (=> @t207 (= (tptp.c_Groups_Ominus__class_Ominus @t7 @t853 @t856) (tptp.hAPP (tptp.hAPP @t118 (tptp.hAPP @t866 @t936)) @t856))))))) % 1.22/1.43 (assume @p976 (forall @t456 (=> @t551 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t911 @t412)))) % 1.22/1.43 (assume @p977 (forall @t916 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t915) @t412) @t913))) % 1.22/1.43 (assume @p978 (forall @t586 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t12 @t736) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t32 @t12) (= @t919 @t12))))) % 1.22/1.43 (assume @p979 (forall @t929 (=> @t928 (and @t986 @t927)))) % 1.22/1.43 (assume @p980 (forall @t929 (=> @t928 @t986))) % 1.22/1.43 (assume @p981 (forall @t989 (=> @t988 (tptp.class_Groups_Oab__semigroup__mult @t987)))) % 1.22/1.43 (assume @p982 (forall @t989 (=> @t988 (tptp.class_Groups_Oab__semigroup__add @t987)))) % 1.22/1.43 (assume @p983 (forall @t989 (=> @t988 (tptp.class_Groups_Ocomm__monoid__add @t987)))) % 1.22/1.43 (assume @p984 (forall @t989 (=> @t988 (tptp.class_Rings_Ocomm__semiring @t987)))) % 1.22/1.43 (assume @p985 (forall @t989 (=> @t988 (tptp.class_Groups_Omonoid__add @t987)))) % 1.22/1.43 (assume @p986 (forall @t989 (=> @t988 (tptp.class_Rings_Osemiring__0 @t987)))) % 1.22/1.43 (assume @p987 (forall @t989 (=> @t988 (tptp.class_Rings_Omult__zero @t987)))) % 1.22/1.43 (assume @p988 (forall @t989 (=> @t988 (tptp.class_Rings_Osemiring @t987)))) % 1.22/1.43 (assume @p989 @t991) % 1.22/1.43 (assume @p990 (forall @t989 (=> @t988 (tptp.class_Groups_Oplus @t987)))) % 1.22/1.43 (assume @p991 (forall @t995 (=> @t994 (tptp.class_Groups_Ocancel__comm__monoid__add @t993)))) % 1.22/1.43 (assume @p992 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p993 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p994 (forall @t998 (=> (tptp.class_Lattices_Oboolean__algebra @t992) (tptp.class_Lattices_Oboolean__algebra @t997)))) % 1.22/1.43 (assume @p995 (forall @t998 (=> (tptp.class_Orderings_Opreorder @t992) (tptp.class_Orderings_Opreorder @t997)))) % 1.22/1.43 (assume @p996 (forall @t998 (=> (tptp.class_Orderings_Oorder @t992) (tptp.class_Orderings_Oorder @t997)))) % 1.22/1.43 (assume @p997 (forall @t998 (=> (tptp.class_Orderings_Oord @t992) (tptp.class_Orderings_Oord @t997)))) % 1.22/1.43 (assume @p998 (forall @t998 (=> (tptp.class_Groups_Ouminus @t992) (tptp.class_Groups_Ouminus @t997)))) % 1.22/1.43 (assume @p999 (forall @t998 (=> (tptp.class_Groups_Ominus @t992) (tptp.class_Groups_Ominus @t997)))) % 1.22/1.43 (assume @p1000 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1001 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1002 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1003 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1004 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1005 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1006 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1007 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1008 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1009 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1010 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1011 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1012 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1013 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1014 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1015 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1016 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1017 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1018 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1019 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1020 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1021 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1022 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1023 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1024 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1025 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1026 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1027 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1028 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1029 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1030 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1031 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1032 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1033 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1034 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1035 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1036 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1037 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1038 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1039 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1040 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1041 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1042 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1043 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1044 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1045 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1046 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1047 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1048 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1049 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1050 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1051 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1052 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1053 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1054 (tptp.class_Groups_Oplus tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1055 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1056 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1057 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1058 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.22/1.43 (assume @p1059 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1060 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1061 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1062 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1063 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1064 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1065 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1066 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1067 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1068 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1069 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1070 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1071 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1072 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1073 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1074 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1075 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1076 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1077 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1078 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1079 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1080 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1081 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1082 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1083 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1084 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1085 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1086 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1087 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1088 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1089 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1090 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1091 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1092 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1093 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1094 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1095 (tptp.class_Groups_Oplus tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1096 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1097 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.22/1.43 (assume @p1098 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.22/1.43 (assume @p1099 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.22/1.43 (assume @p1100 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.22/1.43 (assume @p1101 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.22/1.43 (assume @p1102 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.22/1.43 (assume @p1103 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.22/1.43 (assume @p1104 (forall @t995 (=> @t999 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t993)))) % 1.22/1.43 (assume @p1105 (forall @t995 (=> @t1000 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t993)))) % 1.22/1.43 (assume @p1106 (forall @t995 (=> @t1000 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t993)))) % 1.22/1.43 (assume @p1107 (forall @t995 (=> @t1000 (tptp.class_Rings_Olinordered__comm__semiring__strict @t993)))) % 1.22/1.43 (assume @p1108 (forall @t995 (=> @t1000 (tptp.class_Rings_Olinordered__semiring__1__strict @t993)))) % 1.22/1.43 (assume @p1109 (forall @t995 (=> @t1000 (tptp.class_Rings_Olinordered__semiring__strict @t993)))) % 1.22/1.43 (assume @p1110 (forall @t995 (=> @t1000 (tptp.class_Groups_Oordered__ab__semigroup__add @t993)))) % 1.22/1.43 (assume @p1111 (forall @t995 (=> @t1000 (tptp.class_Groups_Oordered__comm__monoid__add @t993)))) % 1.22/1.43 (assume @p1112 (forall @t995 (=> @t1000 (tptp.class_Groups_Olinordered__ab__group__add @t993)))) % 1.22/1.43 (assume @p1113 (forall @t995 (=> @t994 (tptp.class_Groups_Ocancel__ab__semigroup__add @t993)))) % 1.22/1.43 (assume @p1114 (forall @t995 (=> @t999 (tptp.class_Rings_Oring__1__no__zero__divisors @t993)))) % 1.22/1.43 (assume @p1115 (forall @t995 (=> @t1000 (tptp.class_Rings_Oordered__cancel__semiring @t993)))) % 1.22/1.43 (assume @p1116 (forall @t995 (=> @t1000 (tptp.class_Rings_Olinordered__ring__strict @t993)))) % 1.22/1.43 (assume @p1117 (forall @t995 (=> @t999 (tptp.class_Rings_Oring__no__zero__divisors @t993)))) % 1.22/1.43 (assume @p1118 (forall @t995 (=> @t1000 (tptp.class_Rings_Oordered__comm__semiring @t993)))) % 1.22/1.43 (assume @p1119 (forall @t995 (=> @t1000 (tptp.class_Rings_Olinordered__semiring__1 @t993)))) % 1.22/1.43 (assume @p1120 (forall @t995 (=> @t1000 (tptp.class_Groups_Oordered__ab__group__add @t993)))) % 1.22/1.43 (assume @p1121 (forall @t995 (=> @t994 (tptp.class_Groups_Ocancel__semigroup__add @t993)))) % 1.22/1.43 (assume @p1122 (forall @t995 (=> @t1000 (tptp.class_Rings_Olinordered__semiring @t993)))) % 1.22/1.43 (assume @p1123 (forall @t995 (=> @t1000 (tptp.class_Rings_Olinordered__semidom @t993)))) % 1.22/1.43 (assume @p1124 (forall @t995 (=> @t1001 (tptp.class_Groups_Oab__semigroup__mult @t993)))) % 1.22/1.43 (assume @p1125 (forall @t995 (=> @t1002 (tptp.class_Groups_Ocomm__monoid__mult @t993)))) % 1.22/1.43 (assume @p1126 (forall @t995 (=> @t1003 (tptp.class_Groups_Oab__semigroup__add @t993)))) % 1.22/1.43 (assume @p1127 (forall @t995 (=> @t1000 (tptp.class_Rings_Oordered__semiring @t993)))) % 1.22/1.43 (assume @p1128 (forall @t995 (=> @t999 (tptp.class_Rings_Ono__zero__divisors @t993)))) % 1.22/1.43 (assume @p1129 (forall @t995 (=> @t1003 (tptp.class_Groups_Ocomm__monoid__add @t993)))) % 1.22/1.43 (assume @p1130 (forall @t995 (=> @t1000 (tptp.class_Rings_Olinordered__ring @t993)))) % 1.22/1.43 (assume @p1131 (forall @t995 (=> @t1000 (tptp.class_Rings_Olinordered__idom @t993)))) % 1.22/1.43 (assume @p1132 (forall @t995 (=> @t1002 (tptp.class_Rings_Ocomm__semiring__1 @t993)))) % 1.22/1.43 (assume @p1133 (forall @t995 (=> @t1001 (tptp.class_Rings_Ocomm__semiring__0 @t993)))) % 1.22/1.43 (assume @p1134 (forall @t995 (=> @t1004 (tptp.class_Divides_Osemiring__div @t993)))) % 1.22/1.43 (assume @p1135 (forall @t995 (=> @t1001 (tptp.class_Rings_Ocomm__semiring @t993)))) % 1.22/1.43 (assume @p1136 (forall @t995 (=> @t1005 (tptp.class_Groups_Oab__group__add @t993)))) % 1.22/1.43 (assume @p1137 (forall @t995 (=> @t1002 (tptp.class_Rings_Ozero__neq__one @t993)))) % 1.22/1.43 (assume @p1138 (forall @t995 (=> @t1000 (tptp.class_Rings_Oordered__ring @t993)))) % 1.22/1.43 (assume @p1139 (forall @t995 (=> @t1000 (tptp.class_Orderings_Opreorder @t993)))) % 1.22/1.43 (assume @p1140 (forall @t995 (=> @t1000 (tptp.class_Orderings_Olinorder @t993)))) % 1.22/1.43 (assume @p1141 (forall @t995 (=> @t1002 (tptp.class_Groups_Omonoid__mult @t993)))) % 1.22/1.43 (assume @p1142 (forall @t995 (=> @t1006 (tptp.class_Rings_Ocomm__ring__1 @t993)))) % 1.22/1.43 (assume @p1143 (forall @t995 (=> @t1003 (tptp.class_Groups_Omonoid__add @t993)))) % 1.22/1.43 (assume @p1144 (forall @t995 (=> @t1001 (tptp.class_Rings_Osemiring__0 @t993)))) % 1.22/1.43 (assume @p1145 (forall @t995 (=> @t1005 (tptp.class_Groups_Ogroup__add @t993)))) % 1.22/1.43 (assume @p1146 (forall @t995 (=> @t1004 (tptp.class_Divides_Oring__div @t993)))) % 1.22/1.43 (assume @p1147 (forall @t995 (=> @t1001 (tptp.class_Rings_Omult__zero @t993)))) % 1.22/1.43 (assume @p1148 (forall @t995 (=> @t1007 (tptp.class_Rings_Ocomm__ring @t993)))) % 1.22/1.43 (assume @p1149 (forall @t995 (=> @t1000 (tptp.class_Orderings_Oorder @t993)))) % 1.22/1.43 (assume @p1150 (forall @t995 (=> @t1000 (tptp.class_Int_Oring__char__0 @t993)))) % 1.22/1.43 (assume @p1151 (forall @t995 (=> @t1001 (tptp.class_Rings_Osemiring @t993)))) % 1.22/1.43 (assume @p1152 (forall @t995 (=> @t1000 (tptp.class_Orderings_Oord @t993)))) % 1.22/1.43 (assume @p1153 (forall @t995 (=> @t1005 (tptp.class_Groups_Ouminus @t993)))) % 1.22/1.43 (assume @p1154 (forall @t995 (=> @t1006 (tptp.class_Rings_Oring__1 @t993)))) % 1.22/1.43 (assume @p1155 (forall @t995 (=> @t1005 (tptp.class_Groups_Ominus @t993)))) % 1.22/1.43 (assume @p1156 (forall @t995 (=> @t1002 (tptp.class_Power_Opower @t993)))) % 1.22/1.43 (assume @p1157 (forall @t995 (=> (tptp.class_Groups_Ozero @t992) (tptp.class_Groups_Ozero @t993)))) % 1.22/1.43 (assume @p1158 (forall @t995 (=> @t1003 (tptp.class_Groups_Oplus @t993)))) % 1.22/1.43 (assume @p1159 (forall @t995 (=> @t1007 (tptp.class_Rings_Oring @t993)))) % 1.22/1.43 (assume @p1160 (forall @t995 (=> @t999 (tptp.class_Rings_Oidom @t993)))) % 1.22/1.43 (assume @p1161 (forall @t995 (=> @t1002 (tptp.class_Groups_Oone @t993)))) % 1.22/1.43 (assume @p1162 (forall @t995 (=> @t1002 (tptp.class_Rings_Odvd @t993)))) % 1.22/1.43 (assume @p1163 (forall @t594 (or (not @t1008) @t394))) % 1.22/1.43 (assume @p1164 (forall @t594 (or @t404 @t1008))) % 1.22/1.43 (assume @p1165 @t1014) % 1.22/1.43 (assume @p1166 (= @t1016 @t1010)) % 1.22/1.43 (assume @p1167 (not (and @t1017 @t1011))) % 1.22/1.43 (assume @p1168 @t1018) % 1.22/1.43 (assume @p1169 true) % 1.22/1.43 (step @p1170 :rule symm :premises (@p1166)) % 1.22/1.43 (step @p1171 :rule bool-impl-elim :args (@t11 @t21)) % 1.22/1.43 (step @p1172 :rule cong :premises (@p1171) :args (@t23)) % 1.22/1.43 (step @p1173 :rule eq_resolve :premises (@p4 @p1172)) % 1.22/1.43 (step @p1174 :rule eq-symm :args (@t1019 @t1016)) % 1.22/1.43 (step @p1175 :rule refl :args (@t1020)) % 1.22/1.43 (step @p1176 :rule nary_cong :premises (@p1175 @p1174) :args (@t1021)) % 1.22/1.43 (step @p1177 :rule refl :args (@t1023)) % 1.22/1.43 (step @p1178 :rule cong :premises (@p1177 @p1176) :args ((=> @t1023 @t1021))) % 1.22/1.43 (assume-push @p1337 @t1023) % 1.22/1.43 (step @p1180 :rule instantiate :premises (@p1173) :args ((@list tptp.v_h tptp.v_p tptp.v_a tptp.t_a))) % 1.22/1.43 (step-pop @p1338 :rule scope :premises (@p1180)) % 1.22/1.43 (step @p1181 :rule process_scope :premises (@p1338) :args (@t1021)) % 1.22/1.43 (step @p1183 :rule eq_resolve :premises (@p1181 @p1178)) % 1.22/1.43 (step @p1184 :rule implies_elim :premises (@p1183)) % 1.22/1.43 (step @p1185 :rule chain_m_resolution :premises (@p1184 @p1173) :args (@t1025 @t1026 (@list @t1023))) % 1.22/1.43 (step @p1186 :rule cnf_or_pos :args (@t1025)) % 1.22/1.43 (step @p1187 :rule reordering :premises (@p1186) :args ((or @t1020 @t1024 (not @t1025)))) % 1.22/1.43 (step @p1188 :rule chain_m_resolution :premises (@p1187 @p1168 @p1185) :args (@t1024 @t1027 (@list @t1018 @t1025))) % 1.22/1.43 (step @p1189 :rule aci_norm :args ((= (or @t1022 (or @t1030 @t1028)) (or @t1022 @t1030 @t1028)))) % 1.22/1.43 (step @p1190 :rule bool-impl-elim :args (@t1029 @t1028)) % 1.22/1.43 (step @p1191 :rule refl :args (@t1022)) % 1.22/1.43 (step @p1192 :rule nary_cong :premises (@p1191 @p1190) :args ((or @t1022 @t1031))) % 1.22/1.43 (step @p1193 :rule trans :premises (@p1192 @p1189)) % 1.22/1.43 (step @p1194 :rule bool-impl-elim :args (@t11 @t1031)) % 1.22/1.43 (step @p1195 :rule trans :premises (@p1194 @p1193)) % 1.22/1.43 (step @p1196 :rule cong :premises (@p1195) :args ((forall @t30 (=> @t11 @t1031)))) % 1.22/1.43 (step @p1197 :rule eq-symm :args (@t18 @t9)) % 1.22/1.43 (step @p1198 :rule eq-symm :args (@t27 @t9)) % 1.22/1.43 (step @p1199 :rule cong :premises (@p1198 @p1197) :args (@t28)) % 1.22/1.43 (step @p1200 :rule refl :args (@t11)) % 1.22/1.43 (step @p1201 :rule cong :premises (@p1200 @p1199) :args (@t29)) % 1.22/1.43 (step @p1202 :rule cong :premises (@p1201) :args (@t31)) % 1.22/1.43 (step @p1203 :rule trans :premises (@p1202 @p1196)) % 1.22/1.43 (step @p1204 :rule eq_resolve :premises (@p5 @p1203)) % 1.22/1.43 (step @p1205 :rule instantiate :premises (@p1204) :args ((@list tptp.v_a @t1012 tptp.v_h tptp.t_a))) % 1.22/1.43 (step @p1206 :rule cnf_or_pos :args (@t1035)) % 1.22/1.43 (step @p1207 :rule reordering :premises (@p1206) :args ((or @t1032 @t1034 @t1020 (not @t1035)))) % 1.22/1.43 (step @p1208 :rule chain_m_resolution :premises (@p1207 @p1170 @p1168 @p1205) :args (@t1032 (@list false false false) (@list @t1033 @t1018 @t1035))) % 1.22/1.43 (step @p1209 :rule refl :args (@t1011)) % 1.22/1.43 (step @p1210 :rule eq-symm :args (@t1012 @t1010)) % 1.22/1.43 (step @p1211 :rule cong :premises (@p1210 @p1209) :args (@t1014)) % 1.22/1.43 (step @p1212 :rule eq_resolve :premises (@p1165 @p1211)) % 1.22/1.43 (step @p1213 :rule implies_elim :premises (@p1212)) % 1.22/1.43 (step @p1214 :rule reordering :premises (@p1213) :args ((or @t1011 @t1036))) % 1.22/1.43 (step @p1215 :rule chain_m_resolution :premises (@p1214 @p1208) :args (@t1011 @t1026 (@list @t1032))) % 1.22/1.43 (step @p1216 :rule bool-impl-elim :args (@t60 @t1038)) % 1.22/1.43 (step @p1217 :rule cong :premises (@p1216) :args ((forall @t54 (=> @t60 @t1038)))) % 1.22/1.43 (step @p1218 :rule eq-symm :args (@t1037 @t57)) % 1.22/1.43 (step @p1219 :rule refl :args (@t57)) % 1.22/1.43 (step @p1220 :rule eq-symm :args (@t58 @t46)) % 1.22/1.43 (step @p1221 :rule cong :premises (@p1220 @p1219) :args (@t59)) % 1.22/1.43 (step @p1222 :rule trans :premises (@p1221 @p1218)) % 1.22/1.43 (step @p1223 :rule refl :args (@t60)) % 1.22/1.43 (step @p1224 :rule cong :premises (@p1223 @p1222) :args (@t61)) % 1.22/1.43 (step @p1225 :rule cong :premises (@p1224) :args (@t62)) % 1.22/1.43 (step @p1226 :rule trans :premises (@p1225 @p1217)) % 1.22/1.43 (step @p1227 :rule eq_resolve :premises (@p12 @p1226)) % 1.22/1.43 (step @p1228 :rule eq-symm :args (@t1039 @t1040)) % 1.22/1.43 (step @p1229 :rule refl :args (@t1040)) % 1.22/1.43 (step @p1230 :rule refl :args (@t1017)) % 1.22/1.43 (step @p1231 :rule nary_cong :premises (@p1230 @p1210) :args (@t1041)) % 1.22/1.43 (step @p1232 :rule cong :premises (@p1231 @p1229) :args (@t1042)) % 1.22/1.43 (step @p1233 :rule trans :premises (@p1232 @p1228)) % 1.22/1.43 (step @p1234 :rule refl :args (@t1044)) % 1.22/1.43 (step @p1235 :rule nary_cong :premises (@p1234 @p1233) :args (@t1045)) % 1.22/1.43 (step @p1236 :rule refl :args (@t1046)) % 1.22/1.43 (step @p1237 :rule cong :premises (@p1236 @p1235) :args ((=> @t1046 @t1045))) % 1.22/1.43 (assume-push @p1339 @t1046) % 1.22/1.43 (step @p1239 :rule instantiate :premises (@p1227) :args ((@list @t1012 tptp.v_a tptp.t_a))) % 1.22/1.43 (step-pop @p1340 :rule scope :premises (@p1239)) % 1.22/1.43 (step @p1240 :rule process_scope :premises (@p1340) :args (@t1045)) % 1.22/1.43 (step @p1242 :rule eq_resolve :premises (@p1240 @p1237)) % 1.22/1.43 (step @p1243 :rule implies_elim :premises (@p1242)) % 1.22/1.43 (step @p1244 :rule chain_m_resolution :premises (@p1243 @p1227) :args (@t1048 @t1026 (@list @t1046))) % 1.22/1.43 (step @p1245 :rule bool-impl-elim :args (@t988 @t990)) % 1.22/1.43 (step @p1246 :rule cong :premises (@p1245) :args (@t991)) % 1.22/1.43 (step @p1247 :rule eq_resolve :premises (@p989 @p1246)) % 1.22/1.43 (step @p1248 :rule instantiate :premises (@p1247) :args ((@list tptp.t_a))) % 1.22/1.43 (step @p1249 :rule cnf_or_pos :args (@t1049)) % 1.22/1.43 (step @p1250 :rule reordering :premises (@p1249) :args ((or @t1020 @t1043 (not @t1049)))) % 1.22/1.43 (step @p1251 :rule chain_m_resolution :premises (@p1250 @p1168 @p1248) :args (@t1043 @t1027 (@list @t1018 @t1049))) % 1.22/1.43 (step @p1252 :rule cnf_or_pos :args (@t1048)) % 1.22/1.43 (step @p1253 :rule reordering :premises (@p1252) :args ((or @t1044 @t1047 (not @t1048)))) % 1.22/1.43 (step @p1254 :rule chain_m_resolution :premises (@p1253 @p1251 @p1244) :args (@t1047 @t1027 (@list @t1043 @t1048))) % 1.22/1.43 (step @p1255 :rule not_and :premises (@p1167)) % 1.22/1.43 (step @p1256 :rule reordering :premises (@p1255) :args ((or @t1051 @t1050))) % 1.22/1.43 (step @p1257 :rule chain_m_resolution :premises (@p1256 @p1215) :args (@t1050 @t1026 (@list @t1011))) % 1.22/1.43 (step @p1258 :rule cnf_and_pos :args (@t1039 0)) % 1.22/1.43 (step @p1259 :rule reordering :premises (@p1258) :args ((or @t1017 @t1052))) % 1.22/1.43 (step @p1260 :rule chain_m_resolution :premises (@p1259 @p1257) :args (@t1052 (@list true) (@list @t1017))) % 1.22/1.43 (step @p1261 :rule cnf_equiv_pos1 :args (@t1047)) % 1.22/1.43 (step @p1262 :rule reordering :premises (@p1261) :args ((or @t1039 @t1053 (not @t1047)))) % 1.22/1.43 (step @p1263 :rule chain_m_resolution :premises (@p1262 @p1260 @p1254) :args (@t1053 (@list true false) (@list @t1039 @t1047))) % 1.22/1.43 (step @p1264 :rule bool-impl-elim :args (@t11 @t1054)) % 1.22/1.43 (step @p1265 :rule cong :premises (@p1264) :args ((forall @t16 (=> @t11 @t1054)))) % 1.22/1.43 (step @p1266 :rule eq-symm :args (@t14 @t13)) % 1.22/1.43 (step @p1267 :rule cong :premises (@p1200 @p1266) :args (@t15)) % 1.22/1.43 (step @p1268 :rule cong :premises (@p1267) :args (@t17)) % 1.22/1.43 (step @p1269 :rule trans :premises (@p1268 @p1265)) % 1.22/1.43 (step @p1270 :rule eq_resolve :premises (@p3 @p1269)) % 1.22/1.43 (step @p1271 :rule instantiate :premises (@p1270) :args ((@list tptp.v_h tptp.v_a tptp.t_a))) % 1.22/1.43 (step @p1272 :rule cnf_or_pos :args (@t1058)) % 1.22/1.43 (step @p1273 :rule reordering :premises (@p1272) :args ((or @t1020 @t1057 (not @t1058)))) % 1.22/1.43 (step @p1274 :rule chain_m_resolution :premises (@p1273 @p1168 @p1271) :args (@t1057 @t1027 (@list @t1018 @t1058))) % 1.22/1.43 (step @p1275 :rule refl :args (@t1059)) % 1.22/1.43 (step @p1276 :rule bool-double-not-elim :args (@t1040)) % 1.22/1.43 (step @p1277 :rule refl :args (@t1060)) % 1.22/1.43 (step @p1278 :rule refl :args (@t1034)) % 1.22/1.43 (step @p1279 :rule refl :args (@t1036)) % 1.22/1.43 (step @p1280 :rule refl :args (@t1051)) % 1.22/1.43 (step @p1281 :rule nary_cong :premises (@p1280 @p1279 @p1278 @p1277 @p1276 @p1275) :args ((or @t1051 @t1036 @t1034 @t1060 (not @t1053) @t1059))) % 1.22/1.43 (assume-push @p1341 @t1057) % 1.22/1.43 (assume-push @p1342 @t1059) % 1.22/1.43 (step @p1284 :rule evaluate :args ((= false true))) % 1.22/1.43 (step @p1285 :rule true_intro :premises (@p1274)) % 1.22/1.43 (step @p1286 :rule bool-eq-false :args (@t1057)) % 1.22/1.43 (step @p1287 :rule symm :premises (@p1286)) % 1.22/1.43 (step @p1288 :rule eq-symm :args (@t1056 @t1055)) % 1.22/1.43 (step @p1289 :rule cong :premises (@p1288) :args (@t1062)) % 1.22/1.43 (step @p1290 :rule bool-eq-false :args (@t1061)) % 1.22/1.43 (step @p1291 :rule trans :premises (@p1290 @p1289)) % 1.22/1.43 (step @p1292 :rule trans :premises (@p1291 @p1287)) % 1.22/1.43 (step @p1293 :rule false_intro :premises (@p1263)) % 1.22/1.43 (step @p1294 :rule refl :args (tptp.v_a)) % 1.22/1.43 (step @p1295 :rule refl :args (tptp.t_a)) % 1.22/1.43 (step @p1296 :rule cong :premises (@p1295 @p1294 @p1208) :args (@t1055)) % 1.22/1.43 (step @p1297 :rule symm :premises (@p1188)) % 1.22/1.43 (step @p1298 :rule refl :args (tptp.v_h)) % 1.22/1.43 (step @p1299 :rule symm :premises (@p1215)) % 1.22/1.43 (step @p1300 :rule symm :premises (@p1208)) % 1.22/1.43 (step @p1301 :rule trans :premises (@p1300 @p1299)) % 1.22/1.43 (step @p1302 :rule cong :premises (@p1295 @p1294 @p1301) :args (@t1015)) % 1.22/1.43 (step @p1303 :rule trans :premises (@p1296 @p1302)) % 1.22/1.43 (step @p1304 :rule cong :premises (@p1295 @p1303 @p1298) :args (@t1056)) % 1.22/1.43 (step @p1305 :rule trans :premises (@p1304 @p1297 @p1166)) % 1.22/1.43 (step @p1306 :rule cong :premises (@p1305 @p1296) :args (@t1061)) % 1.22/1.43 (step @p1307 :rule trans :premises (@p1306 @p1293)) % 1.22/1.43 (step @p1308 :rule eq_resolve :premises (@p1307 @p1292)) % 1.22/1.43 (step @p1309 :rule symm :premises (@p1308)) % 1.22/1.43 (step @p1310 :rule trans :premises (@p1309 @p1285)) % 1.22/1.43 (step @p1311 false :rule eq_resolve :premises (@p1310 @p1284)) % 1.22/1.43 (step-pop @p1343 :rule scope :premises (@p1311)) % 1.22/1.43 (step-pop @p1344 :rule scope :premises (@p1343)) % 1.22/1.43 (step @p1312 :rule process_scope :premises (@p1344) :args (false)) % 1.22/1.43 (assume-push @p1345 @t1011) % 1.22/1.43 (assume-push @p1346 @t1032) % 1.22/1.43 (assume-push @p1347 @t1033) % 1.22/1.43 (assume-push @p1348 @t1024) % 1.22/1.43 (assume-push @p1349 @t1053) % 1.22/1.43 (assume-push @p1350 @t1057) % 1.22/1.43 (step @p1286 :rule bool-eq-false :args (@t1057)) % 1.22/1.43 (step @p1287 :rule symm :premises (@p1286)) % 1.22/1.43 (step @p1288 :rule eq-symm :args (@t1056 @t1055)) % 1.22/1.43 (step @p1289 :rule cong :premises (@p1288) :args (@t1062)) % 1.22/1.43 (step @p1290 :rule bool-eq-false :args (@t1061)) % 1.22/1.43 (step @p1291 :rule trans :premises (@p1290 @p1289)) % 1.22/1.43 (step @p1292 :rule trans :premises (@p1291 @p1287)) % 1.22/1.43 (step @p1293 :rule false_intro :premises (@p1263)) % 1.22/1.43 (step @p1294 :rule refl :args (tptp.v_a)) % 1.22/1.43 (step @p1295 :rule refl :args (tptp.t_a)) % 1.22/1.43 (step @p1296 :rule cong :premises (@p1295 @p1294 @p1208) :args (@t1055)) % 1.22/1.43 (step @p1297 :rule symm :premises (@p1188)) % 1.22/1.43 (step @p1298 :rule refl :args (tptp.v_h)) % 1.22/1.43 (step @p1299 :rule symm :premises (@p1215)) % 1.22/1.43 (step @p1300 :rule symm :premises (@p1208)) % 1.22/1.43 (step @p1301 :rule trans :premises (@p1300 @p1299)) % 1.22/1.43 (step @p1302 :rule cong :premises (@p1295 @p1294 @p1301) :args (@t1015)) % 1.22/1.43 (step @p1303 :rule trans :premises (@p1296 @p1302)) % 1.22/1.43 (step @p1304 :rule cong :premises (@p1295 @p1303 @p1298) :args (@t1056)) % 1.22/1.43 (step @p1305 :rule trans :premises (@p1304 @p1297 @p1166)) % 1.22/1.43 (step @p1306 :rule cong :premises (@p1305 @p1296) :args (@t1061)) % 1.22/1.43 (step @p1307 :rule trans :premises (@p1306 @p1293)) % 1.22/1.43 (step @p1321 :rule eq_resolve :premises (@p1307 @p1292)) % 1.22/1.43 (step @p1322 :rule false_elim :premises (@p1321)) % 1.22/1.43 (step @p1323 :rule and_intro :premises (@p1274 @p1322)) % 1.22/1.43 (step-pop @p1351 :rule scope :premises (@p1323)) % 1.22/1.43 (step-pop @p1352 :rule scope :premises (@p1351)) % 1.22/1.43 (step-pop @p1353 :rule scope :premises (@p1352)) % 1.22/1.43 (step-pop @p1354 :rule scope :premises (@p1353)) % 1.22/1.43 (step-pop @p1355 :rule scope :premises (@p1354)) % 1.22/1.43 (step-pop @p1356 :rule scope :premises (@p1355)) % 1.22/1.43 (step @p1324 :rule process_scope :premises (@p1356) :args (@t1063)) % 1.22/1.43 (step @p1331 :rule implies_elim :premises (@p1324)) % 1.22/1.43 (step @p1332 :rule resolution :premises (@p1331 @p1312) :args (true @t1063)) % 1.22/1.43 (step @p1333 :rule not_and :premises (@p1332)) % 1.22/1.43 (step @p1334 :rule eq_resolve :premises (@p1333 @p1281)) % 1.22/1.43 (step @p1335 :rule reordering :premises (@p1334) :args ((or @t1036 @t1051 @t1034 @t1040 @t1060 @t1059))) % 1.22/1.43 (step @p1336 false :rule chain_m_resolution :premises (@p1335 @p1274 @p1263 @p1215 @p1208 @p1188 @p1170) :args (false (@list false true false false false false) (@list @t1057 @t1040 @t1011 @t1032 @t1024 @t1033))) % 1.22/1.43 ) % 1.22/1.43 % SZS output end Proof % 1.22/1.43 % cvc5 exiting %------------------------------------------------------------------------------