%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW290+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n022.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:40 AM UTC 2026 % Result : Theorem 1.31s 1.51s % Output : Proof 1.31s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW290+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n022.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 21:44:08 EDT 2026 % 0.15/0.34 % CPUTime : % 0.44/0.73 %----Proving TF0_NAR, FOF, or CNF % 1.31/1.51 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.31/1.51 % SZS status Theorem % 1.31/1.51 % SZS output start Proof % 1.31/1.51 ( % 1.31/1.51 (declare-sort $$unsorted 0) % 1.31/1.51 (declare-const tptp.v_a $$unsorted) % 1.31/1.51 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.31/1.51 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.v_q $$unsorted) % 1.31/1.51 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.31/1.51 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.v_p $$unsorted) % 1.31/1.51 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.31/1.51 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.31/1.51 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.31/1.51 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.31/1.51 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.31/1.51 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.31/1.51 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.31/1.51 (define @t3 () (@var "B_x" $$unsorted)) % 1.31/1.51 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.31/1.51 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.31/1.51 (define @t6 () (@list @t3)) % 1.31/1.51 (define @t7 () (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) % 1.31/1.51 (define @t8 () (@var "T_a" $$unsorted)) % 1.31/1.51 (define @t9 () (tptp.tc_Polynomial_Opoly @t8)) % 1.31/1.51 (define @t10 () (tptp.c_Groups_Ozero__class_Ozero @t9)) % 1.31/1.51 (define @t11 () (@var "V_p" $$unsorted)) % 1.31/1.51 (define @t12 () (= @t11 @t10)) % 1.31/1.51 (define @t13 () (@var "V_a" $$unsorted)) % 1.31/1.51 (define @t14 () (tptp.c_Polynomial_OpCons @t8 @t13 @t11)) % 1.31/1.51 (define @t15 () (@var "V_c" $$unsorted)) % 1.31/1.51 (define @t16 () (tptp.c_Polynomial_Osmult @t8 @t15 @t11)) % 1.31/1.51 (define @t17 () (tptp.class_Rings_Ocomm__semiring__0 @t8)) % 1.31/1.51 (define @t18 () (@list @t13 @t11 @t15 @t8)) % 1.31/1.51 (define @t19 () (tptp.c_Polynomial_Osmult @t8 @t13 @t11)) % 1.31/1.51 (define @t20 () (@var "V_b" $$unsorted)) % 1.31/1.51 (define @t21 () (tptp.c_Groups_Otimes__class_Otimes @t8)) % 1.31/1.51 (define @t22 () (tptp.hAPP @t21 @t13)) % 1.31/1.51 (define @t23 () (tptp.hAPP @t22 @t20)) % 1.31/1.51 (define @t24 () (@list @t11 @t20 @t13 @t8)) % 1.31/1.51 (define @t25 () (tptp.c_Groups_Ozero__class_Ozero @t8)) % 1.31/1.51 (define @t26 () (@list @t11 @t8)) % 1.31/1.51 (define @t27 () (@var "V_pa_2" $$unsorted)) % 1.31/1.51 (define @t28 () (= @t27 @t10)) % 1.31/1.51 (define @t29 () (@var "V_aa_2" $$unsorted)) % 1.31/1.51 (define @t30 () (= @t29 @t25)) % 1.31/1.51 (define @t31 () (tptp.c_Polynomial_Osmult @t8 @t29 @t27)) % 1.31/1.51 (define @t32 () (tptp.class_Rings_Oidom @t8)) % 1.31/1.51 (define @t33 () (@list @t27 @t29 @t8)) % 1.31/1.51 (define @t34 () (tptp.c_Polynomial_OpCons @t8 @t25 @t10)) % 1.31/1.51 (define @t35 () (tptp.class_Groups_Ozero @t8)) % 1.31/1.51 (define @t36 () (=> @t35 (= @t34 @t10))) % 1.31/1.51 (define @t37 () (@list @t8)) % 1.31/1.51 (define @t38 () (forall @t37 @t36)) % 1.31/1.51 (define @t39 () (tptp.c_Polynomial_OpCons @t8 @t29 @t27)) % 1.31/1.51 (define @t40 () (@var "V_q" $$unsorted)) % 1.31/1.51 (define @t41 () (tptp.c_Groups_Otimes__class_Otimes @t9)) % 1.31/1.51 (define @t42 () (tptp.hAPP @t41 @t11)) % 1.31/1.51 (define @t43 () (tptp.hAPP @t42 @t40)) % 1.31/1.51 (define @t44 () (tptp.c_Polynomial_Osmult @t8 @t13 @t43)) % 1.31/1.51 (define @t45 () (tptp.c_Polynomial_Osmult @t8 @t13 @t40)) % 1.31/1.51 (define @t46 () (@list @t40 @t13 @t11 @t8)) % 1.31/1.51 (define @t47 () (@list @t40 @t11 @t13 @t8)) % 1.31/1.51 (define @t48 () (@list @t40 @t8)) % 1.31/1.51 (define @t49 () (tptp.hAPP @t42 @t10)) % 1.31/1.51 (define @t50 () (=> @t17 (= @t49 @t10))) % 1.31/1.51 (define @t51 () (forall @t26 @t50)) % 1.31/1.51 (define @t52 () (@list @t13 @t8)) % 1.31/1.51 (define @t53 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t11 @t40)) % 1.31/1.51 (define @t54 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t19 @t40)) % 1.31/1.51 (define @t55 () (tptp.class_Rings_Ocomm__semiring__1 @t8)) % 1.31/1.51 (define @t56 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t11 @t45)) % 1.31/1.51 (define @t57 () (@list @t13 @t40 @t11 @t8)) % 1.31/1.51 (define @t58 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.31/1.51 (define @t59 () (tptp.c_Rings_Odvd__class_Odvd @t7 @t11 @t40)) % 1.31/1.51 (define @t60 () (@list @t40 @t11)) % 1.31/1.51 (define @t61 () (= @t13 @t25)) % 1.31/1.51 (define @t62 () (not @t61)) % 1.31/1.51 (define @t63 () (tptp.class_Fields_Ofield @t8)) % 1.31/1.51 (define @t64 () (@var "V_qa_2" $$unsorted)) % 1.31/1.51 (define @t65 () (tptp.c_Rings_Odvd__class_Odvd @t9 @t27 @t64)) % 1.31/1.51 (define @t66 () (not @t30)) % 1.31/1.51 (define @t67 () (@list @t64 @t27 @t29 @t8)) % 1.31/1.51 (define @t68 () (= @t64 @t10)) % 1.31/1.51 (define @t69 () (= @t27 @t64)) % 1.31/1.51 (define @t70 () (@var "V_b_2" $$unsorted)) % 1.31/1.51 (define @t71 () (= @t29 @t70)) % 1.31/1.51 (define @t72 () (tptp.c_Polynomial_Osmult @t8 @t20 @t11)) % 1.31/1.51 (define @t73 () (@var "V_c_2" $$unsorted)) % 1.31/1.51 (define @t74 () (= @t73 @t25)) % 1.31/1.51 (define @t75 () (or @t74 (tptp.c_Rings_Odvd__class_Odvd @t8 @t29 @t70))) % 1.31/1.51 (define @t76 () (tptp.hAPP @t21 @t73)) % 1.31/1.51 (define @t77 () (tptp.hAPP @t76 @t70)) % 1.31/1.51 (define @t78 () (tptp.hAPP @t76 @t29)) % 1.31/1.51 (define @t79 () (@list @t70 @t29 @t73 @t8)) % 1.31/1.51 (define @t80 () (tptp.hAPP @t21 @t70)) % 1.31/1.51 (define @t81 () (tptp.hAPP @t80 @t73)) % 1.31/1.51 (define @t82 () (tptp.hAPP @t21 @t29)) % 1.31/1.51 (define @t83 () (tptp.hAPP @t82 @t73)) % 1.31/1.51 (define @t84 () (@list @t70 @t73 @t29 @t8)) % 1.31/1.51 (define @t85 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t20 @t15)) % 1.31/1.51 (define @t86 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t23 @t15)) % 1.31/1.51 (define @t87 () (@list @t15 @t20 @t13 @t8)) % 1.31/1.51 (define @t88 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t13 @t15)) % 1.31/1.51 (define @t89 () (@var "V_k" $$unsorted)) % 1.31/1.51 (define @t90 () (tptp.hAPP @t21 @t20)) % 1.31/1.51 (define @t91 () (tptp.class_Rings_Odvd @t8)) % 1.31/1.51 (define @t92 () (@var "V_d" $$unsorted)) % 1.31/1.51 (define @t93 () (tptp.hAPP @t90 @t92)) % 1.31/1.51 (define @t94 () (tptp.hAPP @t22 @t15)) % 1.31/1.51 (define @t95 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t13 @t20)) % 1.31/1.51 (define @t96 () (@list @t92 @t15 @t20 @t13 @t8)) % 1.31/1.51 (define @t97 () (tptp.hAPP @t90 @t15)) % 1.31/1.51 (define @t98 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t13 @t97)) % 1.31/1.51 (define @t99 () (@list @t20 @t15 @t13 @t8)) % 1.31/1.51 (define @t100 () (tptp.hAPP @t90 @t13)) % 1.31/1.51 (define @t101 () (@list @t20 @t13 @t8)) % 1.31/1.51 (define @t102 () (tptp.hAPP @t21 @t25)) % 1.31/1.51 (define @t103 () (= (tptp.hAPP @t102 @t13) @t25)) % 1.31/1.51 (define @t104 () (tptp.class_Rings_Omult__zero @t8)) % 1.31/1.51 (define @t105 () (= (tptp.hAPP @t22 @t25) @t25)) % 1.31/1.51 (define @t106 () (= @t70 @t25)) % 1.31/1.51 (define @t107 () (tptp.hAPP @t82 @t70)) % 1.31/1.51 (define @t108 () (@list @t70 @t29 @t8)) % 1.31/1.51 (define @t109 () (= @t23 @t25)) % 1.31/1.51 (define @t110 () (= @t20 @t25)) % 1.31/1.51 (define @t111 () (not @t110)) % 1.31/1.51 (define @t112 () (tptp.class_Rings_Ono__zero__divisors @t8)) % 1.31/1.51 (define @t113 () (tptp.class_RealVector_Oreal__normed__algebra @t8)) % 1.31/1.51 (define @t114 () (@var "V_y" $$unsorted)) % 1.31/1.51 (define @t115 () (@list @t114 @t8)) % 1.31/1.51 (define @t116 () (@var "V_x" $$unsorted)) % 1.31/1.51 (define @t117 () (tptp.hAPP @t21 @t116)) % 1.31/1.51 (define @t118 () (@list @t116 @t8)) % 1.31/1.51 (define @t119 () (@var "V_z_2" $$unsorted)) % 1.31/1.51 (define @t120 () (@var "T_b" $$unsorted)) % 1.31/1.51 (define @t121 () (tptp.c_Polynomial_Opoly__rec @t8 @t120 @t119 @t2 @t27)) % 1.31/1.51 (define @t122 () (tptp.hAPP (tptp.hAPP @t2 @t29) @t27)) % 1.31/1.51 (define @t123 () (tptp.c_Polynomial_Opoly__rec @t8 @t120 @t119 @t2 (tptp.c_Polynomial_OpCons @t120 @t29 @t27))) % 1.31/1.51 (define @t124 () (tptp.tc_Polynomial_Opoly @t120)) % 1.31/1.51 (define @t125 () (tptp.c_Groups_Ozero__class_Ozero @t124)) % 1.31/1.51 (define @t126 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t120)) @t125) @t119) @t119)) % 1.31/1.51 (define @t127 () (tptp.class_Groups_Ozero @t120)) % 1.31/1.51 (define @t128 () (tptp.c_Polynomial_OpCons @t8 @t25 @t43)) % 1.31/1.51 (define @t129 () (= (tptp.hAPP @t42 (tptp.c_Polynomial_OpCons @t8 @t13 @t40)) (tptp.c_Groups_Oplus__class_Oplus @t9 @t19 @t128))) % 1.31/1.51 (define @t130 () (forall @t46 (=> @t17 @t129))) % 1.31/1.51 (define @t131 () (tptp.c_Polynomial_OpCons @t8 @t13 @t10)) % 1.31/1.51 (define @t132 () (@var "V_h" $$unsorted)) % 1.31/1.51 (define @t133 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t15 @t13)) % 1.31/1.51 (define @t134 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 @t15)) % 1.31/1.51 (define @t135 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t15 @t92)) % 1.31/1.51 (define @t136 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 @t135)) % 1.31/1.51 (define @t137 () (@list @t92 @t15 @t13 @t8)) % 1.31/1.51 (define @t138 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t20 @t15)) % 1.31/1.51 (define @t139 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 @t20)) % 1.31/1.51 (define @t140 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t139 @t15)) % 1.31/1.51 (define @t141 () (= @t140 (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 @t138))) % 1.31/1.51 (define @t142 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t20 @t92)) % 1.31/1.51 (define @t143 () (tptp.c_Groups_Oplus__class_Oplus @t9 @t11 @t40)) % 1.31/1.51 (define @t144 () (tptp.c_Polynomial_OpCons @t8 @t20 @t40)) % 1.31/1.51 (define @t145 () (tptp.class_Groups_Ocomm__monoid__add @t8)) % 1.31/1.51 (define @t146 () (@list @t40 @t20 @t11 @t13 @t8)) % 1.31/1.51 (define @t147 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t70 @t29)) % 1.31/1.51 (define @t148 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t8)) % 1.31/1.51 (define @t149 () (@list @t29 @t70 @t8)) % 1.31/1.51 (define @t150 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 @t25)) % 1.31/1.51 (define @t151 () (= @t150 @t13)) % 1.31/1.51 (define @t152 () (=> @t55 @t151)) % 1.31/1.51 (define @t153 () (forall @t52 @t152)) % 1.31/1.51 (define @t154 () (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t25 @t13) @t13)) % 1.31/1.51 (define @t155 () (@var "V_y_2" $$unsorted)) % 1.31/1.51 (define @t156 () (@var "V_x_2" $$unsorted)) % 1.31/1.51 (define @t157 () (@var "V_w_2" $$unsorted)) % 1.31/1.51 (define @t158 () (tptp.hAPP @t21 @t156)) % 1.31/1.51 (define @t159 () (tptp.hAPP @t21 @t157)) % 1.31/1.51 (define @t160 () (tptp.hAPP @t158 @t119)) % 1.31/1.51 (define @t161 () (tptp.hAPP @t159 @t155)) % 1.31/1.51 (define @t162 () (@var "V_m" $$unsorted)) % 1.31/1.51 (define @t163 () (tptp.hAPP @t21 @t139)) % 1.31/1.51 (define @t164 () (tptp.hAPP @t22 @t162)) % 1.31/1.51 (define @t165 () (@var "V_ya" $$unsorted)) % 1.31/1.51 (define @t166 () (tptp.hAPP @t21 @t114)) % 1.31/1.51 (define @t167 () (tptp.hAPP @t166 @t165)) % 1.31/1.51 (define @t168 () (tptp.hAPP @t117 @t165)) % 1.31/1.51 (define @t169 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t116 @t114)) % 1.31/1.51 (define @t170 () (@list @t165 @t114 @t116 @t8)) % 1.31/1.51 (define @t171 () (@var "V_a_H" $$unsorted)) % 1.31/1.51 (define @t172 () (tptp.hAPP (tptp.hAPP @t21 @t171) @t20)) % 1.31/1.51 (define @t173 () (@list @t20 @t171 @t13 @t8)) % 1.31/1.51 (define @t174 () (= (tptp.hAPP @t163 @t15) (tptp.c_Groups_Oplus__class_Oplus @t8 @t94 @t97))) % 1.31/1.51 (define @t175 () (@var "V_d_2" $$unsorted)) % 1.31/1.51 (define @t176 () (= @t73 @t175)) % 1.31/1.51 (define @t177 () (@list @t175 @t73 @t70 @t29 @t8)) % 1.31/1.51 (define @t178 () (@var "V_xa" $$unsorted)) % 1.31/1.51 (define @t179 () (tptp.hAPP @t21 @t178)) % 1.31/1.51 (define @t180 () (tptp.hAPP @t179 @t114)) % 1.31/1.51 (define @t181 () (tptp.hAPP @t179 @t116)) % 1.31/1.51 (define @t182 () (@list @t114 @t116 @t178 @t8)) % 1.31/1.51 (define @t183 () (@var "V_z" $$unsorted)) % 1.31/1.51 (define @t184 () (tptp.hAPP @t117 @t183)) % 1.31/1.51 (define @t185 () (tptp.hAPP @t117 @t114)) % 1.31/1.51 (define @t186 () (@list @t183 @t114 @t116 @t8)) % 1.31/1.51 (define @t187 () (@var "V_b_H" $$unsorted)) % 1.31/1.51 (define @t188 () (tptp.hAPP @t22 @t187)) % 1.31/1.51 (define @t189 () (@list @t187 @t20 @t13 @t8)) % 1.31/1.51 (define @t190 () (@var "V_e" $$unsorted)) % 1.31/1.51 (define @t191 () (@var "V_r" $$unsorted)) % 1.31/1.51 (define @t192 () (tptp.hAPP @t21 @t191)) % 1.31/1.51 (define @t193 () (= @t13 @t20)) % 1.31/1.51 (define @t194 () (tptp.hAPP @t41 @t40)) % 1.31/1.51 (define @t195 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t8 @t11 @t132)) % 1.31/1.51 (define @t196 () (@var "V_h_2" $$unsorted)) % 1.31/1.51 (define @t197 () (@var "V_ry" $$unsorted)) % 1.31/1.51 (define @t198 () (@var "V_ly" $$unsorted)) % 1.31/1.51 (define @t199 () (tptp.hAPP @t21 @t198)) % 1.31/1.51 (define @t200 () (@var "V_rx" $$unsorted)) % 1.31/1.51 (define @t201 () (@var "V_lx" $$unsorted)) % 1.31/1.51 (define @t202 () (tptp.hAPP @t21 @t201)) % 1.31/1.51 (define @t203 () (tptp.hAPP @t21 (tptp.hAPP @t202 @t200))) % 1.31/1.51 (define @t204 () (tptp.hAPP @t21 @t200)) % 1.31/1.51 (define @t205 () (tptp.hAPP @t204 @t197)) % 1.31/1.51 (define @t206 () (tptp.hAPP @t21 (tptp.hAPP @t202 @t198))) % 1.31/1.51 (define @t207 () (tptp.hAPP @t206 @t205)) % 1.31/1.51 (define @t208 () (@list @t197 @t200 @t198 @t201 @t8)) % 1.31/1.51 (define @t209 () (tptp.hAPP @t206 @t200)) % 1.31/1.51 (define @t210 () (@list @t200 @t198 @t201 @t8)) % 1.31/1.51 (define @t211 () (tptp.hAPP @t202 @t205)) % 1.31/1.51 (define @t212 () (@list @t197 @t200 @t201 @t8)) % 1.31/1.51 (define @t213 () (@var "V_P_2" $$unsorted)) % 1.31/1.51 (define @t214 () (tptp.hBOOL (tptp.hAPP @t213 @t3))) % 1.31/1.51 (define @t215 () (@var "V_l_2" $$unsorted)) % 1.31/1.51 (define @t216 () (tptp.class_Rings_Osemiring__0 @t8)) % 1.31/1.51 (define @t217 () (tptp.c_Polynomial_Opcompose @t8 @t11 @t40)) % 1.31/1.51 (define @t218 () (= @t155 @t25)) % 1.31/1.51 (define @t219 () (= @t156 @t25)) % 1.31/1.51 (define @t220 () (and @t219 @t218)) % 1.31/1.51 (define @t221 () (tptp.hAPP @t158 @t156)) % 1.31/1.51 (define @t222 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t221 (tptp.hAPP (tptp.hAPP @t21 @t155) @t155))) % 1.31/1.51 (define @t223 () (tptp.class_Rings_Olinordered__ring__strict @t8)) % 1.31/1.51 (define @t224 () (@list @t155 @t156 @t8)) % 1.31/1.51 (define @t225 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t29 @t29)) % 1.31/1.51 (define @t226 () (tptp.class_Groups_Olinordered__ab__group__add @t8)) % 1.31/1.51 (define @t227 () (@list @t29 @t8)) % 1.31/1.51 (define @t228 () (tptp.class_Groups_Omonoid__add @t8)) % 1.31/1.51 (define @t229 () (tptp.c_Groups_Ozero__class_Ozero @t7)) % 1.31/1.51 (define @t230 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t229)) % 1.31/1.51 (define @t231 () (tptp.hAPP @t230 @t116)) % 1.31/1.51 (define @t232 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t58 @t229)) % 1.31/1.51 (define @t233 () (@list @t116)) % 1.31/1.51 (define @t234 () (tptp.c_Polynomial_Opoly @t8 @t11)) % 1.31/1.51 (define @t235 () (tptp.hAPP @t234 @t116)) % 1.31/1.51 (define @t236 () (@list @t116 @t11 @t13 @t8)) % 1.31/1.51 (define @t237 () (tptp.c_Polynomial_Opoly @t8 @t27)) % 1.31/1.51 (define @t238 () (and (tptp.class_Int_Oring__char__0 @t8) @t32)) % 1.31/1.51 (define @t239 () (@list @t64 @t27 @t8)) % 1.31/1.51 (define @t240 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 @t40) @t116)) % 1.31/1.51 (define @t241 () (@list @t116 @t40 @t11 @t8)) % 1.31/1.51 (define @t242 () (tptp.c_Polynomial_Opoly @t8 @t10)) % 1.31/1.51 (define @t243 () (@list @t27 @t8)) % 1.31/1.51 (define @t244 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t11)) % 1.31/1.51 (define @t245 () (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t15 @t229)) @t116)) % 1.31/1.51 (define @t246 () (@list @t116 @t15)) % 1.31/1.51 (define @t247 () (@list @t116 @t114)) % 1.31/1.51 (define @t248 () (@list @t156 @t8)) % 1.31/1.51 (define @t249 () (= @t20 @t15)) % 1.31/1.51 (define @t250 () (tptp.class_Groups_Ocancel__semigroup__add @t8)) % 1.31/1.51 (define @t251 () (@list @t15 @t13 @t20 @t8)) % 1.31/1.51 (define @t252 () (=> (= @t139 @t134) @t249)) % 1.31/1.51 (define @t253 () (= @t70 @t73)) % 1.31/1.51 (define @t254 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t73 @t29)) % 1.31/1.51 (define @t255 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t29 @t73)) % 1.31/1.51 (define @t256 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t29 @t70)) % 1.31/1.51 (define @t257 () (@list @t73 @t70 @t29 @t8)) % 1.31/1.51 (define @t258 () (tptp.c_Polynomial_Osynthetic__div @t8 @t11 @t15)) % 1.31/1.51 (define @t259 () (tptp.hAPP @t234 @t15)) % 1.31/1.51 (define @t260 () (tptp.c_Polynomial_OpCons @t8 @t259 @t258)) % 1.31/1.51 (define @t261 () (@list @t15 @t11 @t8)) % 1.31/1.51 (define @t262 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.31/1.51 (define @t263 () (@var "V_r_H" $$unsorted)) % 1.31/1.51 (define @t264 () (tptp.hAPP @t41 @t114)) % 1.31/1.51 (define @t265 () (@var "V_q_H" $$unsorted)) % 1.31/1.51 (define @t266 () (tptp.c_Polynomial_Opdivmod__rel @t8 @t116 @t114 @t40 @t191)) % 1.31/1.51 (define @t267 () (tptp.hAPP @t22 @t13)) % 1.31/1.51 (define @t268 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t8)) % 1.31/1.51 (define @t269 () (tptp.hAPP @t117 @t116)) % 1.31/1.51 (define @t270 () (tptp.c_Groups_Oone__class_Oone @t8)) % 1.31/1.51 (define @t271 () (= @t156 @t270)) % 1.31/1.51 (define @t272 () (@var "V_r2" $$unsorted)) % 1.31/1.51 (define @t273 () (@var "V_r1" $$unsorted)) % 1.31/1.51 (define @t274 () (= @t273 @t272)) % 1.31/1.51 (define @t275 () (@var "V_q2" $$unsorted)) % 1.31/1.51 (define @t276 () (@var "V_q1" $$unsorted)) % 1.31/1.51 (define @t277 () (= @t276 @t275)) % 1.31/1.51 (define @t278 () (tptp.c_Polynomial_Opdivmod__rel @t8 @t116 @t114 @t275 @t272)) % 1.31/1.51 (define @t279 () (tptp.c_Polynomial_Opdivmod__rel @t8 @t116 @t114 @t276 @t273)) % 1.31/1.51 (define @t280 () (@list @t272 @t275 @t273 @t276 @t114 @t116 @t8)) % 1.31/1.51 (define @t281 () (tptp.c_Groups_Oone__class_Oone @t9)) % 1.31/1.51 (define @t282 () (tptp.c_Polynomial_OpCons @t8 @t270 @t10)) % 1.31/1.51 (define @t283 () (tptp.class_Rings_Ozero__neq__one @t8)) % 1.31/1.51 (define @t284 () (= (tptp.hAPP @t22 @t270) @t13)) % 1.31/1.51 (define @t285 () (= (tptp.hAPP (tptp.hAPP @t21 @t270) @t13) @t13)) % 1.31/1.51 (define @t286 () (tptp.class_Groups_Ocomm__monoid__mult @t8)) % 1.31/1.51 (define @t287 () (tptp.class_Groups_Omonoid__mult @t8)) % 1.31/1.51 (define @t288 () (@var "V_r_2" $$unsorted)) % 1.31/1.51 (define @t289 () (= @t288 @t10)) % 1.31/1.51 (define @t290 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 @t270)) % 1.31/1.51 (define @t291 () (tptp.hAPP (tptp.hAPP @t21 @t290) @t162)) % 1.31/1.51 (define @t292 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t270 @t270)) % 1.31/1.51 (define @t293 () (tptp.class_Rings_Ocomm__ring__1 @t8)) % 1.31/1.51 (define @t294 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t73)) % 1.31/1.51 (define @t295 () (@list @t73 @t27 @t8)) % 1.31/1.51 (define @t296 () (@var "V_v" $$unsorted)) % 1.31/1.51 (define @t297 () (@var "V_u" $$unsorted)) % 1.31/1.51 (define @t298 () (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP (tptp.hAPP @t21 @t297) @t116) (tptp.hAPP (tptp.hAPP @t21 @t296) @t114))) % 1.31/1.51 (define @t299 () (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t297 @t296) @t270)) % 1.31/1.51 (define @t300 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t296)) % 1.31/1.51 (define @t301 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t297)) % 1.31/1.51 (define @t302 () (@list @t296 @t297 @t114 @t13 @t116 @t8)) % 1.31/1.51 (define @t303 () (@var "V_n" $$unsorted)) % 1.31/1.51 (define @t304 () (@list @t303)) % 1.31/1.51 (define @t305 () (@list @t162)) % 1.31/1.51 (define @t306 () (@var "V_n_2" $$unsorted)) % 1.31/1.51 (define @t307 () (= @t306 @t262)) % 1.31/1.51 (define @t308 () (@var "V_m_2" $$unsorted)) % 1.31/1.51 (define @t309 () (= @t308 @t262)) % 1.31/1.51 (define @t310 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t308 @t306)) % 1.31/1.51 (define @t311 () (@list @t306 @t308)) % 1.31/1.51 (define @t312 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t29)) % 1.31/1.51 (define @t313 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t29)) % 1.31/1.51 (define @t314 () (tptp.class_Groups_Oordered__ab__group__add @t8)) % 1.31/1.51 (define @t315 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t29 @t25)) % 1.31/1.51 (define @t316 () (@list @t306)) % 1.31/1.51 (define @t317 () (= @t162 @t262)) % 1.31/1.51 (define @t318 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.31/1.51 (define @t319 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.31/1.51 (define @t320 () (tptp.hAPP @t319 @t162)) % 1.31/1.51 (define @t321 () (tptp.hAPP @t320 @t303)) % 1.31/1.51 (define @t322 () (@list @t303 @t162)) % 1.31/1.51 (define @t323 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t116)) % 1.31/1.51 (define @t324 () (tptp.class_Lattices_Oboolean__algebra @t8)) % 1.31/1.51 (define @t325 () (@var "V_A_2" $$unsorted)) % 1.31/1.51 (define @t326 () (tptp.hAPP @t325 @t156)) % 1.31/1.51 (define @t327 () (tptp.tc_fun @t120 @t8)) % 1.31/1.51 (define @t328 () (= @t156 @t155)) % 1.31/1.51 (define @t329 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t155)) % 1.31/1.51 (define @t330 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t156)) % 1.31/1.51 (define @t331 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t155 @t156)) % 1.31/1.51 (define @t332 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t114)) % 1.31/1.51 (define @t333 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t116 @t114)) % 1.31/1.51 (define @t334 () (@list @t114 @t116 @t8)) % 1.31/1.51 (define @t335 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t13)) % 1.31/1.51 (define @t336 () (tptp.c_Polynomial_Omonom @t8 @t13 @t303)) % 1.31/1.51 (define @t337 () (tptp.class_Groups_Oab__group__add @t8)) % 1.31/1.51 (define @t338 () (@list @t303 @t13 @t8)) % 1.31/1.51 (define @t339 () (tptp.c_Polynomial_Omonom @t8 @t29 @t306)) % 1.31/1.51 (define @t340 () (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t19)) % 1.31/1.51 (define @t341 () (tptp.class_Rings_Ocomm__ring @t8)) % 1.31/1.51 (define @t342 () (@list @t11 @t13 @t8)) % 1.31/1.51 (define @t343 () (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t11)) % 1.31/1.51 (define @t344 () (tptp.class_Groups_Ogroup__add @t8)) % 1.31/1.51 (define @t345 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t70)) % 1.31/1.51 (define @t346 () (= @t29 @t345)) % 1.31/1.51 (define @t347 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t29 @t70)) % 1.31/1.51 (define @t348 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t20)) % 1.31/1.51 (define @t349 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t13 @t20)) % 1.31/1.51 (define @t350 () (tptp.hAPP @t319 @t89)) % 1.31/1.51 (define @t351 () (tptp.hAPP @t350 @t303)) % 1.31/1.51 (define @t352 () (tptp.hAPP @t350 @t162)) % 1.31/1.51 (define @t353 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t162 @t303)) % 1.31/1.51 (define @t354 () (@list @t303 @t162 @t89)) % 1.31/1.51 (define @t355 () (tptp.hAPP @t319 @t303)) % 1.31/1.51 (define @t356 () (tptp.hAPP @t355 @t89)) % 1.31/1.51 (define @t357 () (tptp.hAPP @t320 @t89)) % 1.31/1.51 (define @t358 () (@list @t89 @t303 @t162)) % 1.31/1.51 (define @t359 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t303)) % 1.31/1.51 (define @t360 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t162 @t303)) % 1.31/1.51 (define @t361 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t162 @t89)) % 1.31/1.51 (define @t362 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t361 @t303)) % 1.31/1.51 (define @t363 () (@list @t303 @t89 @t162)) % 1.31/1.51 (define @t364 () (@var "V_l" $$unsorted)) % 1.31/1.51 (define @t365 () (@var "V_j" $$unsorted)) % 1.31/1.51 (define @t366 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t365 @t364)) % 1.31/1.51 (define @t367 () (@var "V_i" $$unsorted)) % 1.31/1.51 (define @t368 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t367 @t89)) % 1.31/1.51 (define @t369 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t364)) % 1.31/1.51 (define @t370 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t367 @t365)) % 1.31/1.51 (define @t371 () (@list @t364 @t89 @t365 @t367)) % 1.31/1.51 (define @t372 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t365 @t89)) % 1.31/1.51 (define @t373 () (@list @t89 @t365 @t367)) % 1.31/1.51 (define @t374 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t162 @t365)) % 1.31/1.51 (define @t375 () (@list @t162 @t365 @t367)) % 1.31/1.51 (define @t376 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t365 @t162)) % 1.31/1.51 (define @t377 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t308 @t306)) % 1.31/1.51 (define @t378 () (@var "V_k_2" $$unsorted)) % 1.31/1.51 (define @t379 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t378 @t306)) % 1.31/1.51 (define @t380 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t378 @t308)) % 1.31/1.51 (define @t381 () (@list @t306 @t308 @t378)) % 1.31/1.51 (define @t382 () (= @t308 @t306)) % 1.31/1.51 (define @t383 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t306 @t378)) % 1.31/1.51 (define @t384 () (@list @t306 @t378 @t308)) % 1.31/1.51 (define @t385 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t303 @t89)) % 1.31/1.51 (define @t386 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t114 @t183)) % 1.31/1.51 (define @t387 () (@list @t183 @t114 @t116)) % 1.31/1.51 (define @t388 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t303 @t162)) % 1.31/1.51 (define @t389 () (@var "B_k" $$unsorted)) % 1.31/1.51 (define @t390 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t308 @t389)) % 1.31/1.51 (define @t391 () (@list @t389)) % 1.31/1.51 (define @t392 () (@list @t162 @t303)) % 1.31/1.51 (define @t393 () (tptp.hAPP @t22 @t348)) % 1.31/1.51 (define @t394 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t23)) % 1.31/1.51 (define @t395 () (tptp.class_Rings_Oring @t8)) % 1.31/1.51 (define @t396 () (tptp.hAPP @t21 @t335)) % 1.31/1.51 (define @t397 () (tptp.hAPP @t396 @t20)) % 1.31/1.51 (define @t398 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t139)) % 1.31/1.51 (define @t399 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t156 @t155)) % 1.31/1.51 (define @t400 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t15 @t20)) % 1.31/1.51 (define @t401 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t133 @t400)) % 1.31/1.51 (define @t402 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t8)) % 1.31/1.51 (define @t403 () (@list @t20 @t13 @t15 @t8)) % 1.31/1.51 (define @t404 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t134 @t138)) % 1.31/1.51 (define @t405 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t15 @t92)) % 1.31/1.51 (define @t406 () (tptp.class_Groups_Oordered__ab__semigroup__add @t8)) % 1.31/1.51 (define @t407 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t73 @t70)) % 1.31/1.51 (define @t408 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t70 @t73)) % 1.31/1.51 (define @t409 () (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t335 @t13) @t25)) % 1.31/1.51 (define @t410 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t270)) % 1.31/1.51 (define @t411 () (tptp.class_Rings_Oring__1__no__zero__divisors @t8)) % 1.31/1.51 (define @t412 () (tptp.class_Rings_Olinordered__ring @t8)) % 1.31/1.51 (define @t413 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t70 @t25)) % 1.31/1.51 (define @t414 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t70)) % 1.31/1.51 (define @t415 () (or (and @t312 @t414) (and @t315 @t413))) % 1.31/1.51 (define @t416 () (or (and @t312 @t413) (and @t315 @t414))) % 1.31/1.51 (define @t417 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t23)) % 1.31/1.51 (define @t418 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t20)) % 1.31/1.51 (define @t419 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t13)) % 1.31/1.51 (define @t420 () (tptp.class_Rings_Oordered__cancel__semiring @t8)) % 1.31/1.51 (define @t421 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t23 @t25)) % 1.31/1.51 (define @t422 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t20 @t25)) % 1.31/1.51 (define @t423 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t13 @t25)) % 1.31/1.51 (define @t424 () (tptp.class_Rings_Oordered__ring @t8)) % 1.31/1.51 (define @t425 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t94 @t97)) % 1.31/1.51 (define @t426 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t15)) % 1.31/1.51 (define @t427 () (tptp.class_Rings_Oordered__semiring @t8)) % 1.31/1.51 (define @t428 () (tptp.hAPP @t21 @t15)) % 1.31/1.51 (define @t429 () (tptp.hAPP @t428 @t20)) % 1.31/1.51 (define @t430 () (tptp.hAPP @t428 @t13)) % 1.31/1.51 (define @t431 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t430 @t429)) % 1.31/1.51 (define @t432 () (=> @t349 (=> @t426 @t431))) % 1.31/1.51 (define @t433 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t15 @t25)) % 1.31/1.51 (define @t434 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t20 @t13)) % 1.31/1.51 (define @t435 () (=> @t426 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t94 @t93))) % 1.31/1.51 (define @t436 () (tptp.class_Groups_Oordered__comm__monoid__add @t8)) % 1.31/1.51 (define @t437 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t20 @t134)) % 1.31/1.51 (define @t438 () (@list @t13 @t20 @t15 @t8)) % 1.31/1.51 (define @t439 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t20 @t15)) % 1.31/1.51 (define @t440 () (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t156 @t155) @t25)) % 1.31/1.51 (define @t441 () (tptp.class_Rings_Olinordered__semidom @t8)) % 1.31/1.51 (define @t442 () (@list @t303 @t8)) % 1.31/1.51 (define @t443 () (@list @t306 @t29 @t8)) % 1.31/1.51 (define @t444 () (tptp.c_Polynomial_Omonom @t8 @t20 @t303)) % 1.31/1.51 (define @t445 () (@list @t303 @t20 @t13 @t8)) % 1.31/1.51 (define @t446 () (@list @t20 @t303 @t13 @t8)) % 1.31/1.51 (define @t447 () (tptp.c_Polynomial_Omonom @t8 @t13 @t162)) % 1.31/1.51 (define @t448 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t269 (tptp.hAPP @t166 @t114))) % 1.31/1.51 (define @t449 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t114 @t270)) % 1.31/1.51 (define @t450 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t114)) % 1.31/1.51 (define @t451 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t116)) % 1.31/1.51 (define @t452 () (tptp.class_Rings_Olinordered__idom @t8)) % 1.31/1.51 (define @t453 () (= @t378 @t262)) % 1.31/1.51 (define @t454 () (or @t382 @t453)) % 1.31/1.51 (define @t455 () (tptp.hAPP @t319 @t306)) % 1.31/1.51 (define @t456 () (tptp.hAPP @t455 @t378)) % 1.31/1.51 (define @t457 () (tptp.hAPP @t319 @t308)) % 1.31/1.51 (define @t458 () (tptp.hAPP @t457 @t378)) % 1.31/1.51 (define @t459 () (tptp.hAPP @t319 @t378)) % 1.31/1.51 (define @t460 () (tptp.hAPP @t459 @t306)) % 1.31/1.51 (define @t461 () (tptp.hAPP @t459 @t308)) % 1.31/1.51 (define @t462 () (= @t461 @t460)) % 1.31/1.51 (define @t463 () (tptp.hAPP @t457 @t306)) % 1.31/1.51 (define @t464 () (= @t303 @t262)) % 1.31/1.51 (define @t465 () (tptp.class_Orderings_Opreorder @t8)) % 1.31/1.51 (define @t466 () (tptp.c_Polynomial_Oorder @t8 @t13 @t11)) % 1.31/1.51 (define @t467 () (tptp.c_Power_Opower__class_Opower @t9)) % 1.31/1.51 (define @t468 () (tptp.hAPP @t467 (tptp.c_Polynomial_OpCons @t8 @t335 @t282))) % 1.31/1.51 (define @t469 () (tptp.c_Rings_Odvd__class_Odvd @t9 (tptp.hAPP @t468 @t466) @t11)) % 1.31/1.51 (define @t470 () (tptp.c_Power_Opower__class_Opower @t8)) % 1.31/1.51 (define @t471 () (tptp.hAPP @t470 @t116)) % 1.31/1.51 (define @t472 () (tptp.hAPP @t471 @t303)) % 1.31/1.51 (define @t473 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t281) @t303)) % 1.31/1.51 (define @t474 () (not @t464)) % 1.31/1.51 (define @t475 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t367 @t365)) % 1.31/1.51 (define @t476 () (tptp.hAPP @t319 @t365)) % 1.31/1.51 (define @t477 () (tptp.hAPP @t476 @t297)) % 1.31/1.51 (define @t478 () (tptp.hAPP @t319 @t367)) % 1.31/1.51 (define @t479 () (tptp.hAPP @t478 @t297)) % 1.31/1.51 (define @t480 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 @t386)) % 1.31/1.51 (define @t481 () (@list @t114 @t183 @t116)) % 1.31/1.51 (define @t482 () (= @t308 @t318)) % 1.31/1.51 (define @t483 () (@list @t308)) % 1.31/1.51 (define @t484 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t461 @t460)) % 1.31/1.51 (define @t485 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 @t378)) % 1.31/1.51 (define @t486 () (= @t306 @t318)) % 1.31/1.51 (define @t487 () (and @t482 @t486)) % 1.31/1.51 (define @t488 () (tptp.hAPP @t320 @t162)) % 1.31/1.51 (define @t489 () (tptp.hAPP @t355 @t162)) % 1.31/1.51 (define @t490 () (tptp.hAPP @t476 @t89)) % 1.31/1.51 (define @t491 () (tptp.hAPP @t478 @t89)) % 1.31/1.51 (define @t492 () (tptp.hAPP @t350 @t365)) % 1.31/1.51 (define @t493 () (tptp.hAPP @t350 @t367)) % 1.31/1.51 (define @t494 () (= @t162 @t303)) % 1.31/1.51 (define @t495 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t162 @t303)) % 1.31/1.51 (define @t496 () (tptp.c_Orderings_Oord__class_Oless @t8 @t183 @t116)) % 1.31/1.51 (define @t497 () (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t183 @t114) @t496)) % 1.31/1.51 (define @t498 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t114 @t116)) % 1.31/1.51 (define @t499 () (tptp.class_Orderings_Oorder @t8)) % 1.31/1.51 (define @t500 () (@list @t183 @t116 @t114 @t8)) % 1.31/1.51 (define @t501 () (tptp.c_Orderings_Oord__class_Oless @t8 @t116 @t183)) % 1.31/1.51 (define @t502 () (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t114 @t183) @t501)) % 1.31/1.51 (define @t503 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t303 @t162)) % 1.31/1.51 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t183 @t114)) % 1.31/1.51 (define @t505 () (tptp.c_Orderings_Oord__class_Oless @t8 @t114 @t116)) % 1.31/1.51 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t114 @t183)) % 1.31/1.51 (define @t507 () (tptp.c_Orderings_Oord__class_Oless @t8 @t116 @t114)) % 1.31/1.51 (define @t508 () (not @t494)) % 1.31/1.51 (define @t509 () (tptp.c_Orderings_Oord__class_Oless @t8 @t20 @t13)) % 1.31/1.51 (define @t510 () (not @t193)) % 1.31/1.51 (define @t511 () (@list @t13 @t20 @t8)) % 1.31/1.51 (define @t512 () (tptp.c_Orderings_Oord__class_Oless @t8 @t13 @t20)) % 1.31/1.51 (define @t513 () (= @t116 @t114)) % 1.31/1.51 (define @t514 () (tptp.c_Orderings_Oord__class_Oless @t8 @t156 @t155)) % 1.31/1.51 (define @t515 () (not @t514)) % 1.31/1.51 (define @t516 () (= @t515 @t328)) % 1.31/1.51 (define @t517 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t156 @t155)) % 1.31/1.51 (define @t518 () (tptp.class_Orderings_Olinorder @t8)) % 1.31/1.51 (define @t519 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 @t114)) % 1.31/1.51 (define @t520 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t116 @t114)) % 1.31/1.51 (define @t521 () (@list @t114 @t116)) % 1.31/1.51 (define @t522 () (not @t507)) % 1.31/1.51 (define @t523 () (@list @t116 @t114 @t8)) % 1.31/1.51 (define @t524 () (= @t517 @t328)) % 1.31/1.51 (define @t525 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t308 @t306)) % 1.31/1.51 (define @t526 () (or @t525 @t382)) % 1.31/1.51 (define @t527 () (not @t328)) % 1.31/1.51 (define @t528 () (not @t382)) % 1.31/1.51 (define @t529 () (tptp.c_Orderings_Oord__class_Oless @t8 @t155 @t156)) % 1.31/1.51 (define @t530 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t116 @t114)) % 1.31/1.51 (define @t531 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t114 @t116)) % 1.31/1.51 (define @t532 () (and @t530 (not @t531))) % 1.31/1.51 (define @t533 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t116 @t183)) % 1.31/1.51 (define @t534 () (and @t533 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t183 @t116)))) % 1.31/1.51 (define @t535 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t114 @t183)) % 1.31/1.51 (define @t536 () (=> (and @t535 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t183 @t114))) @t534)) % 1.31/1.51 (define @t537 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t13 @t20)) % 1.31/1.51 (define @t538 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t20 @t13)) % 1.31/1.51 (define @t539 () (and @t537 (not @t538))) % 1.31/1.51 (define @t540 () (@list @t20 @t13)) % 1.31/1.51 (define @t541 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t13 @t15)) % 1.31/1.51 (define @t542 () (and @t541 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t15 @t13)))) % 1.31/1.51 (define @t543 () (@list @t15 @t20 @t13)) % 1.31/1.51 (define @t544 () (not (= @t114 @t116))) % 1.31/1.51 (define @t545 () (not @t513)) % 1.31/1.51 (define @t546 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t20 @t15)) % 1.31/1.51 (define @t547 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t303 @t162)) % 1.31/1.51 (define @t548 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t162 @t303)) % 1.31/1.51 (define @t549 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t156 @t155)) % 1.31/1.51 (define @t550 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t155 @t156)) % 1.31/1.51 (define @t551 () (and @t549 (not @t550))) % 1.31/1.51 (define @t552 () (@list @t155 @t156)) % 1.31/1.51 (define @t553 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t116 @t386)) % 1.31/1.51 (define @t554 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.31/1.51 (define @t555 () (tptp.hAPP @t554 @t116)) % 1.31/1.51 (define @t556 () (tptp.hAPP @t555 @t114)) % 1.31/1.51 (define @t557 () (tptp.hAPP (tptp.hAPP @t467 @t11) @t303)) % 1.31/1.51 (define @t558 () (=> @t545 (=> @t522 @t505))) % 1.31/1.51 (define @t559 () (@list @t156 @t155 @t8)) % 1.31/1.51 (define @t560 () (tptp.c_Orderings_Oord__class_Oless @t8 @t13 @t15)) % 1.31/1.51 (define @t561 () (tptp.c_Orderings_Oord__class_Oless @t8 @t20 @t15)) % 1.31/1.51 (define @t562 () (tptp.class_Orderings_Oord @t8)) % 1.31/1.51 (define @t563 () (tptp.c_Orderings_Oord__class_Oless @t8 @t15 @t13)) % 1.31/1.51 (define @t564 () (@var "B_n" $$unsorted)) % 1.31/1.51 (define @t565 () (tptp.c_Polynomial_Ocoeff @t8 @t27)) % 1.31/1.51 (define @t566 () (@list @t564)) % 1.31/1.51 (define @t567 () (tptp.hAPP @t319 @t11)) % 1.31/1.51 (define @t568 () (tptp.hAPP @t471 @t11)) % 1.31/1.51 (define @t569 () (@list @t40 @t11 @t116 @t8)) % 1.31/1.51 (define @t570 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t461 @t460)) % 1.31/1.51 (define @t571 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t308 @t306)) % 1.31/1.51 (define @t572 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t461 @t460)) % 1.31/1.51 (define @t573 () (tptp.hAPP @t470 @t114)) % 1.31/1.51 (define @t574 () (tptp.hAPP @t471 @t40)) % 1.31/1.51 (define @t575 () (tptp.hAPP @t21 @t574)) % 1.31/1.51 (define @t576 () (tptp.c_Orderings_Oord__class_Oless @t8 @t29 @t70)) % 1.31/1.51 (define @t577 () (tptp.c_Orderings_Oord__class_Oless @t8 @t134 @t138)) % 1.31/1.51 (define @t578 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t8)) % 1.31/1.51 (define @t579 () (tptp.c_Orderings_Oord__class_Oless @t8 @t133 @t400)) % 1.31/1.51 (define @t580 () (tptp.c_Orderings_Oord__class_Oless @t8 @t134 @t142)) % 1.31/1.51 (define @t581 () (tptp.c_Orderings_Oord__class_Oless @t8 @t15 @t92)) % 1.31/1.51 (define @t582 () (=> @t581 @t580)) % 1.31/1.51 (define @t583 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.31/1.51 (define @t584 () (tptp.c_Polynomial_Ocoeff @t8 @t11)) % 1.31/1.51 (define @t585 () (tptp.hAPP @t584 @t303)) % 1.31/1.51 (define @t586 () (@list @t303 @t11 @t8)) % 1.31/1.51 (define @t587 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 @t303)) % 1.31/1.51 (define @t588 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 @t89)) % 1.31/1.51 (define @t589 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t367 @t365)) % 1.31/1.51 (define @t590 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t89 @t303)) % 1.31/1.51 (define @t591 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 @t162)) % 1.31/1.51 (define @t592 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 @t308)) % 1.31/1.51 (define @t593 () (=> @t485 @t377)) % 1.31/1.51 (define @t594 () (and @t485 @t525)) % 1.31/1.51 (define @t595 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 @t306)) % 1.31/1.51 (define @t596 () (not @t307)) % 1.31/1.51 (define @t597 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t365 @t367)) % 1.31/1.51 (define @t598 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t89 @t364)) % 1.31/1.51 (define @t599 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t89 @t303)) % 1.31/1.51 (define @t600 () (tptp.hAPP (tptp.hAPP @t467 (tptp.c_Polynomial_OpCons @t8 @t13 @t282)) @t303)) % 1.31/1.51 (define @t601 () (tptp.c_Orderings_Oord__class_Oless @t8 @t430 @t429)) % 1.31/1.51 (define @t602 () (tptp.c_Orderings_Oord__class_Oless @t8 @t15 @t25)) % 1.31/1.51 (define @t603 () (tptp.c_Orderings_Oord__class_Oless @t8 @t94 @t97)) % 1.31/1.51 (define @t604 () (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t15)) % 1.31/1.51 (define @t605 () (=> @t512 (=> @t604 @t601))) % 1.31/1.51 (define @t606 () (tptp.class_Rings_Olinordered__semiring__strict @t8)) % 1.31/1.51 (define @t607 () (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t23)) % 1.31/1.51 (define @t608 () (tptp.c_Orderings_Oord__class_Oless @t8 @t20 @t25)) % 1.31/1.51 (define @t609 () (tptp.c_Orderings_Oord__class_Oless @t8 @t13 @t25)) % 1.31/1.51 (define @t610 () (tptp.c_Orderings_Oord__class_Oless @t8 @t23 @t25)) % 1.31/1.51 (define @t611 () (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t20)) % 1.31/1.51 (define @t612 () (tptp.c_Orderings_Oord__class_Oless @t8 @t70 @t29)) % 1.31/1.51 (define @t613 () (tptp.c_Orderings_Oord__class_Oless @t8 @t78 @t77)) % 1.31/1.51 (define @t614 () (tptp.c_Orderings_Oord__class_Oless @t8 @t73 @t25)) % 1.31/1.51 (define @t615 () (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t13)) % 1.31/1.51 (define @t616 () (=> @t615 @t611)) % 1.31/1.51 (define @t617 () (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t73)) % 1.31/1.51 (define @t618 () (or (and @t617 @t576) (and @t614 @t612))) % 1.31/1.51 (define @t619 () (tptp.c_Orderings_Oord__class_Oless @t8 @t20 @t134)) % 1.31/1.51 (define @t620 () (=> @t561 @t619)) % 1.31/1.51 (define @t621 () (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t29)) % 1.31/1.51 (define @t622 () (tptp.c_Orderings_Oord__class_Oless @t8 @t29 @t25)) % 1.31/1.51 (define @t623 () (= (tptp.c_Orderings_Oord__class_Oless @t8 @t225 @t25) @t622)) % 1.31/1.51 (define @t624 () (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t139)) % 1.31/1.51 (define @t625 () (=> @t611 @t624)) % 1.31/1.51 (define @t626 () (tptp.c_Orderings_Oord__class_Oless @t8 @t139 @t25)) % 1.31/1.51 (define @t627 () (=> @t608 @t626)) % 1.31/1.51 (define @t628 () (tptp.hAPP @t21 @t162)) % 1.31/1.51 (define @t629 () (tptp.c_Polynomial_Ocoeff @t8 @t14)) % 1.31/1.51 (define @t630 () (@list @t303 @t11 @t13 @t8)) % 1.31/1.51 (define @t631 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t447) @t303)) % 1.31/1.51 (define @t632 () (@list @t13 @t303 @t162 @t8)) % 1.31/1.51 (define @t633 () (tptp.c_Polynomial_Ocoeff @t8 @t40)) % 1.31/1.51 (define @t634 () (tptp.hAPP @t633 @t303)) % 1.31/1.51 (define @t635 () (@list @t303 @t40 @t11 @t8)) % 1.31/1.51 (define @t636 () (=> @t604 @t349)) % 1.31/1.51 (define @t637 () (=> @t426 @t512)) % 1.31/1.51 (define @t638 () (=> @t601 @t637)) % 1.31/1.51 (define @t639 () (tptp.class_Rings_Olinordered__semiring @t8)) % 1.31/1.51 (define @t640 () (=> @t603 @t637)) % 1.31/1.51 (define @t641 () (tptp.c_Orderings_Oord__class_Oless @t8 @t94 @t93)) % 1.31/1.51 (define @t642 () (=> @t426 @t641)) % 1.31/1.51 (define @t643 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t78 @t77)) % 1.31/1.51 (define @t644 () (not @t218)) % 1.31/1.51 (define @t645 () (tptp.tc_fun @t8 @t120)) % 1.31/1.51 (define @t646 () (tptp.c_Orderings_Oord__class_Oless__eq @t645 @t2 @t1)) % 1.31/1.51 (define @t647 () (tptp.class_Orderings_Oord @t120)) % 1.31/1.51 (define @t648 () (@list @t1 @t2 @t8 @t120)) % 1.31/1.51 (define @t649 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t13 @t15)) % 1.31/1.51 (define @t650 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t15 @t13)) % 1.31/1.51 (define @t651 () (tptp.hAPP @t470 @t70)) % 1.31/1.51 (define @t652 () (tptp.hAPP @t651 @t155)) % 1.31/1.51 (define @t653 () (tptp.hAPP @t651 @t156)) % 1.31/1.51 (define @t654 () (tptp.c_Orderings_Oord__class_Oless @t8 @t270 @t70)) % 1.31/1.51 (define @t655 () (@list @t155 @t156 @t70 @t8)) % 1.31/1.51 (define @t656 () (tptp.hAPP @t470 @t13)) % 1.31/1.51 (define @t657 () (tptp.hAPP @t656 @t303)) % 1.31/1.51 (define @t658 () (tptp.hAPP @t656 @t162)) % 1.31/1.51 (define @t659 () (tptp.c_Orderings_Oord__class_Oless @t8 @t270 @t13)) % 1.31/1.51 (define @t660 () (@list @t303 @t162 @t13 @t8)) % 1.31/1.51 (define @t661 () (@var "V_N" $$unsorted)) % 1.31/1.51 (define @t662 () (tptp.hAPP @t656 @t661)) % 1.31/1.51 (define @t663 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t303 @t661)) % 1.31/1.51 (define @t664 () (@list @t13 @t661 @t303 @t8)) % 1.31/1.51 (define @t665 () (tptp.hAPP @t22 @t657)) % 1.31/1.51 (define @t666 () (tptp.c_Orderings_Oord__class_Oless @t8 @t13 @t270)) % 1.31/1.51 (define @t667 () (tptp.hAPP @t470 @t20)) % 1.31/1.51 (define @t668 () (tptp.hAPP @t667 @t303)) % 1.31/1.51 (define @t669 () (tptp.c_Orderings_Oord__class_Oless @t8 @t657 @t668)) % 1.31/1.51 (define @t670 () (@list @t116 @t303 @t8)) % 1.31/1.51 (define @t671 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.31/1.51 (define @t672 () (@list @t183)) % 1.31/1.51 (define @t673 () (tptp.hAPP @t583 @t183)) % 1.31/1.51 (define @t674 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.31/1.51 (define @t675 () (tptp.hAPP @t213 @t306)) % 1.31/1.51 (define @t676 () (tptp.hBOOL (tptp.hAPP @t675 @t308))) % 1.31/1.51 (define @t677 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t306 @t308)) % 1.31/1.51 (define @t678 () (@var "V_t" $$unsorted)) % 1.31/1.51 (define @t679 () (@var "V_s" $$unsorted)) % 1.31/1.51 (define @t680 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t303 @t162)) % 1.31/1.51 (define @t681 () (@var "V_w" $$unsorted)) % 1.31/1.51 (define @t682 () (tptp.hAPP @t673 @t681)) % 1.31/1.51 (define @t683 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t183)) % 1.31/1.51 (define @t684 () (@list @t681 @t183)) % 1.31/1.51 (define @t685 () (@var "V_z2" $$unsorted)) % 1.31/1.51 (define @t686 () (tptp.hAPP @t583 @t681)) % 1.31/1.51 (define @t687 () (tptp.hAPP @t686 @t685)) % 1.31/1.51 (define @t688 () (@var "V_z1" $$unsorted)) % 1.31/1.51 (define @t689 () (tptp.hAPP @t686 @t688)) % 1.31/1.51 (define @t690 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t688 @t685)) % 1.31/1.51 (define @t691 () (@list @t685 @t688 @t681)) % 1.31/1.51 (define @t692 () (tptp.hAPP @t583 @t685)) % 1.31/1.51 (define @t693 () (tptp.hAPP @t692 @t681)) % 1.31/1.51 (define @t694 () (tptp.hAPP @t583 @t688)) % 1.31/1.51 (define @t695 () (tptp.hAPP @t694 @t681)) % 1.31/1.51 (define @t696 () (@list @t681 @t685 @t688)) % 1.31/1.51 (define @t697 () (@var "V_t_2" $$unsorted)) % 1.31/1.51 (define @t698 () (tptp.hAPP @t583 @t378)) % 1.31/1.51 (define @t699 () (tptp.hAPP @t698 @t308)) % 1.31/1.51 (define @t700 () (@var "V_z3" $$unsorted)) % 1.31/1.51 (define @t701 () (@list @t700 @t685 @t688)) % 1.31/1.51 (define @t702 () (tptp.hAPP @t583 @t89)) % 1.31/1.51 (define @t703 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t367 @t365)) % 1.31/1.51 (define @t704 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t162 @t303)) % 1.31/1.51 (define @t705 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 @t156)) % 1.31/1.51 (define @t706 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.31/1.51 (define @t707 () (tptp.hAPP @t706 @t156)) % 1.31/1.51 (define @t708 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 (tptp.hAPP @t707 @t306))) % 1.31/1.51 (define @t709 () (@list @t306 @t156)) % 1.31/1.51 (define @t710 () (tptp.hAPP @t706 @t367)) % 1.31/1.51 (define @t711 () (tptp.hAPP @t710 @t303)) % 1.31/1.51 (define @t712 () (tptp.hAPP @t710 @t162)) % 1.31/1.51 (define @t713 () (@list @t303 @t162 @t367)) % 1.31/1.51 (define @t714 () (tptp.hAPP @t21 @t657)) % 1.31/1.51 (define @t715 () (tptp.hAPP @t714 @t13)) % 1.31/1.51 (define @t716 () (tptp.c_Rings_Odvd__class_Odvd @t8 @t116 @t114)) % 1.31/1.51 (define @t717 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t270 @t13)) % 1.31/1.51 (define @t718 () (tptp.hAPP @t470 @t29)) % 1.31/1.51 (define @t719 () (tptp.hAPP @t718 @t306)) % 1.31/1.51 (define @t720 () (tptp.class_Power_Opower @t8)) % 1.31/1.51 (define @t721 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t303 @t661)) % 1.31/1.51 (define @t722 () (tptp.hAPP @t470 @t25)) % 1.31/1.51 (define @t723 () (tptp.hAPP @t722 @t303)) % 1.31/1.51 (define @t724 () (and @t720 @t216)) % 1.31/1.51 (define @t725 () (tptp.class_Rings_Oring__1 @t8)) % 1.31/1.51 (define @t726 () (not (tptp.c_Rings_Odvd__class_Odvd @t9 (tptp.hAPP @t468 (tptp.c_Nat_OSuc @t466)) @t11))) % 1.31/1.51 (define @t727 () (not @t12)) % 1.31/1.51 (define @t728 () (@list @t13 @t11 @t8)) % 1.31/1.51 (define @t729 () (tptp.c_Nat_OSuc @t303)) % 1.31/1.51 (define @t730 () (tptp.c_Nat_OSuc @t162)) % 1.31/1.51 (define @t731 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t730 @t729)) % 1.31/1.51 (define @t732 () (tptp.c_Nat_OSuc @t262)) % 1.31/1.51 (define @t733 () (@list @t119)) % 1.31/1.51 (define @t734 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t671 @t183)) % 1.31/1.51 (define @t735 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t157 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t119 @t671))) % 1.31/1.51 (define @t736 () (@list @t119 @t157)) % 1.31/1.51 (define @t737 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t157 @t119)) % 1.31/1.51 (define @t738 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t303 @t162)) % 1.31/1.51 (define @t739 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t730 @t303)) % 1.31/1.51 (define @t740 () (not @t495)) % 1.31/1.51 (define @t741 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t162 @t729)) % 1.31/1.51 (define @t742 () (tptp.c_Nat_OSuc @t367)) % 1.31/1.51 (define @t743 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t365 @t89)) % 1.31/1.51 (define @t744 () (tptp.c_Nat_OSuc @t308)) % 1.31/1.51 (define @t745 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t306 @t744)) % 1.31/1.51 (define @t746 () (= @t745 (= @t306 @t308))) % 1.31/1.51 (define @t747 () (@list @t308 @t306)) % 1.31/1.51 (define @t748 () (tptp.c_Nat_OSuc @t306)) % 1.31/1.51 (define @t749 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t308 @t748)) % 1.31/1.51 (define @t750 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t681 @t183)) % 1.31/1.51 (define @t751 () (@var "V_z_H" $$unsorted)) % 1.31/1.51 (define @t752 () (@var "V_w_H" $$unsorted)) % 1.31/1.51 (define @t753 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t367 @t365)) % 1.31/1.51 (define @t754 () (@var "V_times_2" $$unsorted)) % 1.31/1.51 (define @t755 () (@var "V_one_2" $$unsorted)) % 1.31/1.51 (define @t756 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t8 @t755 @t754) @t29)) % 1.31/1.51 (define @t757 () (@var "V_nat_H" $$unsorted)) % 1.31/1.51 (define @t758 () (@var "V_nat_H_1" $$unsorted)) % 1.31/1.51 (define @t759 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t162 @t729)) % 1.31/1.51 (define @t760 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t730 @t303)) % 1.31/1.51 (define @t761 () (tptp.c_Nat_OSuc @t353)) % 1.31/1.51 (define @t762 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t748 @t308)) % 1.31/1.51 (define @t763 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t162 @t729)) % 1.31/1.51 (define @t764 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t730 @t303)) % 1.31/1.51 (define @t765 () (tptp.hAPP @t319 (tptp.c_Nat_OSuc @t378))) % 1.31/1.51 (define @t766 () (tptp.hAPP @t765 @t306)) % 1.31/1.51 (define @t767 () (tptp.hAPP @t765 @t308)) % 1.31/1.51 (define @t768 () (@var "V_nat_H_2" $$unsorted)) % 1.31/1.51 (define @t769 () (@var "V_nat_2" $$unsorted)) % 1.31/1.51 (define @t770 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t183 @t681)) % 1.31/1.51 (define @t771 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t681)) % 1.31/1.51 (define @t772 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t175 @t697)) % 1.31/1.51 (define @t773 () (@list @t697 @t175)) % 1.31/1.51 (define @t774 () (tptp.hAPP @t117 @t574)) % 1.31/1.51 (define @t775 () (tptp.hAPP @t471 (tptp.c_Nat_OSuc @t40))) % 1.31/1.51 (define @t776 () (@list @t40 @t116 @t8)) % 1.31/1.51 (define @t777 () (tptp.hAPP @t656 @t729)) % 1.31/1.51 (define @t778 () (@var "B_m" $$unsorted)) % 1.31/1.51 (define @t779 () (@var "B_j" $$unsorted)) % 1.31/1.51 (define @t780 () (= @t308 @t732)) % 1.31/1.51 (define @t781 () (= @t306 @t732)) % 1.31/1.51 (define @t782 () (or (and @t780 @t307) (and @t309 @t781))) % 1.31/1.51 (define @t783 () (@list @t303 @t367)) % 1.31/1.51 (define @t784 () (@list @t162 @t367)) % 1.31/1.51 (define @t785 () (tptp.hAPP @t667 @t729)) % 1.31/1.51 (define @t786 () (tptp.c_Nat_OSuc @t732)) % 1.31/1.51 (define @t787 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t732 @t162)) % 1.31/1.51 (define @t788 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t732 @t303)) % 1.31/1.51 (define @t789 () (@list @t20 @t303 @t13)) % 1.31/1.51 (define @t790 () (@list @t70 @t29 @t306)) % 1.31/1.51 (define @t791 () (= @t13 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t191 (tptp.hAPP (tptp.hAPP @t583 @t13) @t40)))) % 1.31/1.51 (define @t792 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t674 @t13)) % 1.31/1.51 (define @t793 () (@list @t40 @t191 @t13)) % 1.31/1.51 (define @t794 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t191)) % 1.31/1.51 (define @t795 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t265 @t40)) % 1.31/1.51 (define @t796 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t187 @t20)) % 1.31/1.51 (define @t797 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t674 @t187)) % 1.31/1.51 (define @t798 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t263)) % 1.31/1.51 (define @t799 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t191 @t20)) % 1.31/1.51 (define @t800 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t583 @t187) @t265) @t263)) % 1.31/1.51 (define @t801 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t800 @t674)) % 1.31/1.51 (define @t802 () (tptp.hAPP @t583 @t20)) % 1.31/1.51 (define @t803 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t802 @t40) @t191)) % 1.31/1.51 (define @t804 () (= @t803 @t800)) % 1.31/1.51 (define @t805 () (@list @t263 @t265 @t187 @t191 @t40 @t20)) % 1.31/1.51 (define @t806 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t681 @t183)) % 1.31/1.51 (define @t807 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t183 @t681)) % 1.31/1.51 (define @t808 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t263 @t187)) % 1.31/1.51 (define @t809 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t800)) % 1.31/1.51 (define @t810 () (@list @t263 @t265 @t187)) % 1.31/1.51 (define @t811 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t802 @t265) @t263) @t803)) % 1.31/1.51 (define @t812 () (@list @t191 @t40 @t263 @t265 @t20)) % 1.31/1.51 (define @t813 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t40 @t265)) % 1.31/1.51 (define @t814 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t116)) % 1.31/1.51 (define @t815 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t114)) % 1.31/1.51 (define @t816 () (@list @t215 @t378)) % 1.31/1.51 (define @t817 () (tptp.c_Polynomial_Opos__poly @t8 @t27)) % 1.31/1.51 (define @t818 () (tptp.c_Polynomial_Opos__poly @t8 @t40)) % 1.31/1.51 (define @t819 () (tptp.c_Polynomial_Opos__poly @t8 @t11)) % 1.31/1.51 (define @t820 () (@list @t40 @t11 @t8)) % 1.31/1.51 (define @t821 () (@var "B_i" $$unsorted)) % 1.31/1.51 (define @t822 () (tptp.hBOOL (tptp.hAPP @t213 @t262))) % 1.31/1.51 (define @t823 () (not @t822)) % 1.31/1.51 (define @t824 () (= @t155 @t10)) % 1.31/1.51 (define @t825 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t303 @t318)) % 1.31/1.51 (define @t826 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t364 @t162)) % 1.31/1.51 (define @t827 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t364 @t303)) % 1.31/1.51 (define @t828 () (@list @t364 @t303 @t162)) % 1.31/1.51 (define @t829 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t29 @t70)) % 1.31/1.51 (define @t830 () (= @t829 @t25)) % 1.31/1.51 (define @t831 () (= @t829 (tptp.c_Groups_Ominus__class_Ominus @t8 @t73 @t175))) % 1.31/1.51 (define @t832 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t13 @t20)) % 1.31/1.51 (define @t833 () (tptp.c_Polynomial_Odegree @t8 @t11)) % 1.31/1.51 (define @t834 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t162 @t303)) % 1.31/1.51 (define @t835 () (= @t834 @t262)) % 1.31/1.51 (define @t836 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t89 @t834)) % 1.31/1.51 (define @t837 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t89 @t162)) % 1.31/1.51 (define @t838 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t89 @t162)) % 1.31/1.51 (define @t839 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t367 @t365)) % 1.31/1.51 (define @t840 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t839 @t89)) % 1.31/1.51 (define @t841 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t730 @t303)) % 1.31/1.51 (define @t842 () (tptp.c_Groups_Ominus__class_Ominus @t9 @t11 @t40)) % 1.31/1.51 (define @t843 () (@var "V_B_2" $$unsorted)) % 1.31/1.51 (define @t844 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t116 @t114)) % 1.31/1.51 (define @t845 () (tptp.hAPP @t21 @t844)) % 1.31/1.51 (define @t846 () (tptp.c_Polynomial_Odegree @t8 @t40)) % 1.31/1.51 (define @t847 () (tptp.hAPP @t633 @t846)) % 1.31/1.51 (define @t848 () (tptp.hAPP @t584 @t833)) % 1.31/1.51 (define @t849 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t162 @t318)) % 1.31/1.51 (define @t850 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t365 @t89)) % 1.31/1.51 (define @t851 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t365)) % 1.31/1.51 (define @t852 () (@list @t367 @t365 @t89)) % 1.31/1.51 (define @t853 () (@var "V_i_2" $$unsorted)) % 1.31/1.51 (define @t854 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t853 @t378)) % 1.31/1.51 (define @t855 () (@var "V_j_2" $$unsorted)) % 1.31/1.51 (define @t856 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t855 @t378)) % 1.31/1.51 (define @t857 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t303 @t834) @t162)) % 1.31/1.51 (define @t858 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t475 @t89)) % 1.31/1.51 (define @t859 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t367 @t850)) % 1.31/1.51 (define @t860 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t855 @t853)) % 1.31/1.51 (define @t861 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t853 @t855)) % 1.31/1.51 (define @t862 () (@list @t378 @t855 @t853)) % 1.31/1.51 (define @t863 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t597 @t89)) % 1.31/1.51 (define @t864 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t850 @t367)) % 1.31/1.51 (define @t865 () (tptp.c_Polynomial_Odegree @t8 @t336)) % 1.31/1.51 (define @t866 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t306 @t378)) % 1.31/1.51 (define @t867 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t308 @t378)) % 1.31/1.51 (define @t868 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t378 @t306)) % 1.31/1.51 (define @t869 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t378 @t308)) % 1.31/1.51 (define @t870 () (tptp.c_Polynomial_Odegree @t8 @t143)) % 1.31/1.51 (define @t871 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t846 @t303)) % 1.31/1.51 (define @t872 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t833 @t303)) % 1.31/1.51 (define @t873 () (@list @t40 @t303 @t11 @t8)) % 1.31/1.51 (define @t874 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t846 @t303)) % 1.31/1.51 (define @t875 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t833 @t303)) % 1.31/1.51 (define @t876 () (tptp.c_Polynomial_Odegree @t8 @t19)) % 1.31/1.51 (define @t877 () (= @t832 (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 @t348))) % 1.31/1.51 (define @t878 () (tptp.hAPP @t21 (tptp.c_Groups_Ominus__class_Ominus @t8 @t116 @t13))) % 1.31/1.51 (define @t879 () (tptp.hAPP @t878 @t20)) % 1.31/1.51 (define @t880 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t114 @t20)) % 1.31/1.51 (define @t881 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t185 @t23)) % 1.31/1.51 (define @t882 () (@list @t20 @t13 @t114 @t116 @t8)) % 1.31/1.51 (define @t883 () (@var "V_e_2" $$unsorted)) % 1.31/1.51 (define @t884 () (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP (tptp.hAPP @t21 @t829) @t883) @t73)) % 1.31/1.51 (define @t885 () (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t80 @t883) @t175)) % 1.31/1.51 (define @t886 () (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t82 @t883) @t73)) % 1.31/1.51 (define @t887 () (= @t886 @t885)) % 1.31/1.51 (define @t888 () (@list @t175 @t70 @t73 @t883 @t29 @t8)) % 1.31/1.51 (define @t889 () (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP (tptp.hAPP @t21 (tptp.c_Groups_Ominus__class_Ominus @t8 @t70 @t29)) @t883) @t175)) % 1.31/1.51 (define @t890 () (= @t585 @t25)) % 1.31/1.51 (define @t891 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t886 @t885)) % 1.31/1.51 (define @t892 () (tptp.c_Orderings_Oord__class_Oless @t8 @t886 @t885)) % 1.31/1.51 (define @t893 () (tptp.c_Nat_OSuc @t833)) % 1.31/1.51 (define @t894 () (tptp.c_Polynomial_Odegree @t8 @t14)) % 1.31/1.51 (define @t895 () (@var "V_D_2" $$unsorted)) % 1.31/1.51 (define @t896 () (tptp.c_Polynomial_Odegree @t8 @t27)) % 1.31/1.51 (define @t897 () (tptp.hAPP @t565 @t896)) % 1.31/1.51 (define @t898 () (=> @t727 (= @t894 @t893))) % 1.31/1.51 (define @t899 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t833 @t846)) % 1.31/1.51 (define @t900 () (tptp.c_Polynomial_Odegree @t8 @t43)) % 1.31/1.51 (define @t901 () (not (= @t40 @t10))) % 1.31/1.51 (define @t902 () (@var "B_d" $$unsorted)) % 1.31/1.51 (define @t903 () (tptp.hBOOL (tptp.hAPP @t213 @t902))) % 1.31/1.51 (define @t904 () (= @t29 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t70 @t902))) % 1.31/1.51 (define @t905 () (@list @t902)) % 1.31/1.51 (define @t906 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t70)) % 1.31/1.51 (define @t907 () (tptp.hBOOL (tptp.hAPP @t213 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t70)))) % 1.31/1.51 (define @t908 () (@list @t70 @t29 @t213)) % 1.31/1.51 (define @t909 () (tptp.c_Nat_OSuc @t365)) % 1.31/1.51 (define @t910 () (tptp.c_Nat_OSuc @t850)) % 1.31/1.51 (define @t911 () (@list @t162 @t365 @t89)) % 1.31/1.51 (define @t912 () (@var "V_u_2" $$unsorted)) % 1.31/1.51 (define @t913 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t319 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t853 @t855)) @t912) @t308)) % 1.31/1.51 (define @t914 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t319 @t855) @t912) @t306)) % 1.31/1.51 (define @t915 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t319 @t853) @t912) @t308)) % 1.31/1.51 (define @t916 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t915 @t914)) % 1.31/1.51 (define @t917 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t855 @t853)) % 1.31/1.51 (define @t918 () (@list @t306 @t308 @t912 @t853 @t855)) % 1.31/1.51 (define @t919 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t479 @t162) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t477 @t303))) % 1.31/1.51 (define @t920 () (= @t915 @t914)) % 1.31/1.51 (define @t921 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t319 @t860) @t912) @t306)) % 1.31/1.51 (define @t922 () (@list @t306 @t308 @t912 @t855 @t853)) % 1.31/1.51 (define @t923 () (tptp.hAPP @t319 @t833)) % 1.31/1.51 (define @t924 () (= @t896 @t262)) % 1.31/1.51 (define @t925 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t11)) % 1.31/1.51 (define @t926 () (tptp.c_Nat_OSuc @t825)) % 1.31/1.51 (define @t927 () (not @t317)) % 1.31/1.51 (define @t928 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t915 @t914)) % 1.31/1.51 (define @t929 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t8 @t11)) % 1.31/1.51 (define @t930 () (tptp.hAPP @t706 @t11)) % 1.31/1.51 (define @t931 () (tptp.hAPP @t930 @t162)) % 1.31/1.51 (define @t932 () (tptp.c_Power_Opower__class_Opower @t7)) % 1.31/1.51 (define @t933 () (tptp.hAPP @t470 @t162)) % 1.31/1.51 (define @t934 () (tptp.hAPP @t933 @t303)) % 1.31/1.51 (define @t935 () (tptp.c_Polynomial_Odegree @t8 @t842)) % 1.31/1.51 (define @t936 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.31/1.51 (define @t937 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t688 @t685)) % 1.31/1.51 (define @t938 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t183 @t771)) % 1.31/1.51 (define @t939 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t183 @t681)) % 1.31/1.51 (define @t940 () (tptp.c_Polynomial_Opos__poly @t8 (tptp.c_Groups_Ominus__class_Ominus @t9 @t155 @t156))) % 1.31/1.51 (define @t941 () (@var "B_y" $$unsorted)) % 1.31/1.51 (define @t942 () (tptp.c_Polynomial_OpCons @t8 @t13 @t191)) % 1.31/1.51 (define @t943 () (tptp.c_Polynomial_OpCons @t8 @t13 @t116)) % 1.31/1.51 (define @t944 () (tptp.c_Polynomial_Odegree @t8 @t114)) % 1.31/1.51 (define @t945 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t114) @t944)) % 1.31/1.51 (define @t946 () (not (= @t114 @t10))) % 1.31/1.51 (define @t947 () (tptp.c_Nat__Transfer_Otsub @t116 @t114)) % 1.31/1.51 (define @t948 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t114 @t116)) % 1.31/1.51 (define @t949 () (=> @t948 (= @t947 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t116 @t114)))) % 1.31/1.51 (define @t950 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t114 @t165)) % 1.31/1.51 (define @t951 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t116 @t165)) % 1.31/1.51 (define @t952 () (tptp.class_RealVector_Oreal__normed__field @t8)) % 1.31/1.51 (define @t953 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t20 @t15)) % 1.31/1.51 (define @t954 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t13 @t15)) % 1.31/1.51 (define @t955 () (tptp.class_Rings_Odivision__ring @t8)) % 1.31/1.51 (define @t956 () (not (= @t15 @t25))) % 1.31/1.51 (define @t957 () (= @t70 @t83)) % 1.31/1.51 (define @t958 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t70 @t73)) % 1.31/1.51 (define @t959 () (= @t958 @t29)) % 1.31/1.51 (define @t960 () (not @t74)) % 1.31/1.51 (define @t961 () (@list @t29 @t70 @t73 @t8)) % 1.31/1.51 (define @t962 () (= @t83 @t70)) % 1.31/1.51 (define @t963 () (= @t29 @t958)) % 1.31/1.51 (define @t964 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t29 @t70)) % 1.31/1.51 (define @t965 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t13 @t13)) % 1.31/1.51 (define @t966 () (=> @t62 (= @t965 @t270))) % 1.31/1.51 (define @t967 () (tptp.class_Rings_Odivision__ring__inverse__zero @t8)) % 1.31/1.51 (define @t968 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t13 @t20)) % 1.31/1.51 (define @t969 () (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t968)) % 1.31/1.51 (define @t970 () (= @t969 (tptp.c_Rings_Oinverse__class_Odivide @t8 @t13 @t348))) % 1.31/1.51 (define @t971 () (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t335 @t348) @t968)) % 1.31/1.51 (define @t972 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t116 @t114)) % 1.31/1.51 (define @t973 () (= (tptp.hAPP (tptp.hAPP @t470 @t968) @t303) (tptp.c_Rings_Oinverse__class_Odivide @t8 @t657 @t668))) % 1.31/1.51 (define @t974 () (tptp.class_Fields_Ofield__inverse__zero @t8)) % 1.31/1.51 (define @t975 () (not @t614)) % 1.31/1.51 (define @t976 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t70 @t83)) % 1.31/1.51 (define @t977 () (not @t617)) % 1.31/1.51 (define @t978 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t83 @t70)) % 1.31/1.51 (define @t979 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t29 @t958)) % 1.31/1.51 (define @t980 () (tptp.class_Fields_Olinordered__field__inverse__zero @t8)) % 1.31/1.51 (define @t981 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t958 @t29)) % 1.31/1.51 (define @t982 () (@list @t29 @t73 @t70 @t8)) % 1.31/1.51 (define @t983 () (tptp.c_Orderings_Oord__class_Oless @t8 @t954 @t953)) % 1.31/1.51 (define @t984 () (tptp.class_Fields_Olinordered__field @t8)) % 1.31/1.51 (define @t985 () (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t972)) % 1.31/1.51 (define @t986 () (tptp.c_Orderings_Oord__class_Oless @t8 @t114 @t25)) % 1.31/1.51 (define @t987 () (tptp.c_Orderings_Oord__class_Oless @t8 @t116 @t25)) % 1.31/1.51 (define @t988 () (tptp.c_Orderings_Oord__class_Oless @t8 @t972 @t25)) % 1.31/1.51 (define @t989 () (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t114)) % 1.31/1.51 (define @t990 () (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t116)) % 1.31/1.51 (define @t991 () (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t70)) % 1.31/1.51 (define @t992 () (tptp.c_Orderings_Oord__class_Oless @t8 @t70 @t25)) % 1.31/1.51 (define @t993 () (=> @t74 @t30)) % 1.31/1.51 (define @t994 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t972)) % 1.31/1.51 (define @t995 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t116 @t25)) % 1.31/1.51 (define @t996 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t972 @t25)) % 1.31/1.51 (define @t997 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t114 @t681)) % 1.31/1.51 (define @t998 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t116 @t183)) % 1.31/1.51 (define @t999 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t681 @t183)) % 1.31/1.51 (define @t1000 () (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t681)) % 1.31/1.51 (define @t1001 () (@list @t183 @t681 @t114 @t116 @t8)) % 1.31/1.51 (define @t1002 () (tptp.c_Orderings_Oord__class_Oless @t8 @t998 @t997)) % 1.31/1.51 (define @t1003 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t15 @t20)) % 1.31/1.51 (define @t1004 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t15 @t13)) % 1.31/1.51 (define @t1005 () (=> @t607 (tptp.c_Orderings_Oord__class_Oless @t8 @t1004 @t1003))) % 1.31/1.51 (define @t1006 () (tptp.c_Orderings_Oord__class_Oless @t8 @t83 @t70)) % 1.31/1.51 (define @t1007 () (tptp.c_Orderings_Oord__class_Oless @t8 @t958 @t29)) % 1.31/1.51 (define @t1008 () (tptp.c_Orderings_Oord__class_Oless @t8 @t70 @t83)) % 1.31/1.51 (define @t1009 () (tptp.c_Orderings_Oord__class_Oless @t8 @t29 @t958)) % 1.31/1.51 (define @t1010 () (tptp.hAPP @t21 @t183)) % 1.31/1.51 (define @t1011 () (tptp.hAPP @t1010 @t114)) % 1.31/1.51 (define @t1012 () (@list @t116 @t183 @t114 @t8)) % 1.31/1.51 (define @t1013 () (tptp.c_Groups_Oplus__class_Oplus @t8 @t116 @t1011)) % 1.31/1.51 (define @t1014 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t1013 @t114)) % 1.31/1.51 (define @t1015 () (not (= @t114 @t25))) % 1.31/1.51 (define @t1016 () (tptp.hAPP @t1010 @t116)) % 1.31/1.51 (define @t1017 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t114 @t183)) % 1.31/1.51 (define @t1018 () (not (= @t183 @t25))) % 1.31/1.51 (define @t1019 () (@list @t114 @t116 @t183 @t8)) % 1.31/1.51 (define @t1020 () (tptp.hAPP @t166 @t183)) % 1.31/1.51 (define @t1021 () (tptp.hAPP (tptp.hAPP @t21 @t681) @t114)) % 1.31/1.51 (define @t1022 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t681 @t183)) % 1.31/1.51 (define @t1023 () (@list @t681 @t116 @t183 @t114 @t8)) % 1.31/1.51 (define @t1024 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t139 @t292)) % 1.31/1.51 (define @t1025 () (=> @t607 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t1004 @t1003))) % 1.31/1.51 (define @t1026 () (tptp.c_Divides_Odiv__class_Omod @t9 @t116 @t114)) % 1.31/1.51 (define @t1027 () (tptp.c_Polynomial_OpCons @t8 @t13 @t1026)) % 1.31/1.51 (define @t1028 () (tptp.c_Divides_Odiv__class_Omod @t8 @t832 @t15)) % 1.31/1.51 (define @t1029 () (tptp.class_Divides_Oring__div @t8)) % 1.31/1.51 (define @t1030 () (@var "T_1" $$unsorted)) % 1.31/1.51 (define @t1031 () (tptp.tc_Polynomial_Opoly @t1030)) % 1.31/1.51 (define @t1032 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1030)) % 1.31/1.51 (define @t1033 () (@list @t1030)) % 1.31/1.51 (define @t1034 () (@var "T_2" $$unsorted)) % 1.31/1.51 (define @t1035 () (tptp.tc_fun @t1034 @t1030)) % 1.31/1.51 (define @t1036 () (@list @t1034 @t1030)) % 1.31/1.51 (define @t1037 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.31/1.51 (define @t1038 () (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.31/1.51 (define @t1039 () (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.31/1.51 (define @t1040 () (tptp.class_Rings_Oidom @t1030)) % 1.31/1.51 (define @t1041 () (tptp.class_Rings_Olinordered__idom @t1030)) % 1.31/1.51 (define @t1042 () (tptp.class_Rings_Ocomm__semiring__0 @t1030)) % 1.31/1.51 (define @t1043 () (tptp.class_Rings_Ocomm__semiring__1 @t1030)) % 1.31/1.51 (define @t1044 () (tptp.class_Groups_Ocomm__monoid__add @t1030)) % 1.31/1.51 (define @t1045 () (tptp.class_Rings_Ocomm__semiring__1 @t1031)) % 1.31/1.51 (define @t1046 () (forall @t1033 (=> @t1043 @t1045))) % 1.31/1.51 (define @t1047 () (tptp.class_Groups_Oab__group__add @t1030)) % 1.31/1.51 (define @t1048 () (tptp.class_Rings_Ocomm__ring__1 @t1030)) % 1.31/1.51 (define @t1049 () (tptp.class_Rings_Ocomm__ring @t1030)) % 1.31/1.51 (define @t1050 () (tptp.hBOOL (tptp.c_fequal @t156 @t155))) % 1.31/1.51 (define @t1051 () (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes @t7) tptp.v_q)) % 1.31/1.51 (define @t1052 () (tptp.hAPP @t1051 (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_a @t229))) % 1.31/1.51 (define @t1053 () (tptp.c_Polynomial_Osmult tptp.tc_Complex_Ocomplex tptp.v_a tptp.v_q)) % 1.31/1.51 (define @t1054 () (= @t1053 @t1052)) % 1.31/1.51 (define @t1055 () (not @t1054)) % 1.31/1.51 (define @t1056 () (= @t10 @t34)) % 1.31/1.51 (define @t1057 () (@list tptp.tc_Complex_Ocomplex)) % 1.31/1.51 (define @t1058 () (= @t229 @t232)) % 1.31/1.51 (define @t1059 () (not @t1039)) % 1.31/1.51 (define @t1060 () (or @t1059 @t1058)) % 1.31/1.51 (define @t1061 () (@list false false)) % 1.31/1.51 (define @t1062 () (= @t10 @t49)) % 1.31/1.51 (define @t1063 () (tptp.hAPP @t1051 @t229)) % 1.31/1.51 (define @t1064 () (= @t229 @t1063)) % 1.31/1.51 (define @t1065 () (not @t1038)) % 1.31/1.51 (define @t1066 () (or @t1065 @t1064)) % 1.31/1.51 (define @t1067 () (= @t1052 (tptp.c_Groups_Oplus__class_Oplus @t7 @t1053 (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t58 @t1063)))) % 1.31/1.51 (define @t1068 () (or @t1065 @t1067)) % 1.31/1.51 (define @t1069 () (= @t13 @t150)) % 1.31/1.51 (define @t1070 () (tptp.class_Rings_Ocomm__semiring__1 @t7)) % 1.31/1.51 (define @t1071 () (not @t1037)) % 1.31/1.51 (define @t1072 () (or @t1071 @t1070)) % 1.31/1.51 (define @t1073 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t1053 @t229)) % 1.31/1.51 (define @t1074 () (= @t1053 @t1073)) % 1.31/1.51 (define @t1075 () (not @t1070)) % 1.31/1.51 (define @t1076 () (or @t1075 @t1074)) % 1.31/1.51 (define @t1077 () (not @t1074)) % 1.31/1.51 (define @t1078 () (not @t1067)) % 1.31/1.51 (define @t1079 () (not @t1064)) % 1.31/1.51 (define @t1080 () (not @t1058)) % 1.31/1.51 (define @t1081 () (tptp.c_Groups_Oplus__class_Oplus @t7 @t1053 @t1063)) % 1.31/1.51 (define @t1082 () (and @t1074 @t1077)) % 1.31/1.51 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.31/1.51 (assume @p2 (tptp.c_Rings_Odvd__class_Odvd @t7 tptp.v_p tptp.v_q)) % 1.31/1.51 (assume @p3 (forall @t18 (=> @t17 (=> (= @t16 @t14) @t12)))) % 1.31/1.51 (assume @p4 (forall @t24 (=> @t17 (= (tptp.c_Polynomial_Osmult @t8 @t13 (tptp.c_Polynomial_OpCons @t8 @t20 @t11)) (tptp.c_Polynomial_OpCons @t8 @t23 @t19))))) % 1.31/1.51 (assume @p5 (forall @t26 (=> @t17 (= (tptp.c_Polynomial_Osmult @t8 @t25 @t11) @t10)))) % 1.31/1.51 (assume @p6 (forall @t33 (=> @t32 (= (= @t31 @t10) (or @t30 @t28))))) % 1.31/1.51 (assume @p7 @t38) % 1.31/1.51 (assume @p8 (forall @t33 (=> @t35 (= (= @t39 @t10) (and @t30 @t28))))) % 1.31/1.51 (assume @p9 (forall @t46 (=> @t17 (= (tptp.hAPP @t42 @t45) @t44)))) % 1.31/1.51 (assume @p10 (forall @t47 (=> @t17 (= (tptp.hAPP (tptp.hAPP @t41 @t19) @t40) @t44)))) % 1.31/1.51 (assume @p11 (forall @t48 (=> @t17 (= (tptp.hAPP (tptp.hAPP @t41 @t10) @t40) @t10)))) % 1.31/1.51 (assume @p12 @t51) % 1.31/1.51 (assume @p13 (forall @t52 (=> @t17 (= (tptp.c_Polynomial_Osmult @t8 @t13 @t10) @t10)))) % 1.31/1.51 (assume @p14 (forall @t47 (=> @t55 (=> @t54 @t53)))) % 1.31/1.51 (assume @p15 (forall @t57 (=> @t55 (=> @t53 @t56)))) % 1.31/1.51 (assume @p16 (forall @t60 (=> @t59 (tptp.c_Rings_Odvd__class_Odvd @t7 @t11 (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t58 @t40))))) % 1.31/1.51 (assume @p17 (forall @t46 (=> @t63 (=> @t56 (=> @t62 @t53))))) % 1.31/1.51 (assume @p18 (forall @t57 (=> @t63 (=> @t53 (=> @t62 @t54))))) % 1.31/1.51 (assume @p19 (forall @t67 (=> @t63 (=> @t66 (= (tptp.c_Rings_Odvd__class_Odvd @t9 @t27 (tptp.c_Polynomial_Osmult @t8 @t29 @t64)) @t65))))) % 1.31/1.51 (assume @p20 (forall @t67 (=> @t63 (= (tptp.c_Rings_Odvd__class_Odvd @t9 @t31 @t64) (and (=> @t30 @t68) (=> @t66 @t65)))))) % 1.31/1.51 (assume @p21 (forall (@list @t64 @t70 @t27 @t29 @t8) (=> @t35 (= (= @t39 (tptp.c_Polynomial_OpCons @t8 @t70 @t64)) (and @t71 @t69))))) % 1.31/1.51 (assume @p22 (forall @t24 (=> @t17 (= (tptp.c_Polynomial_Osmult @t8 @t13 @t72) (tptp.c_Polynomial_Osmult @t8 @t23 @t11))))) % 1.31/1.51 (assume @p23 (forall @t52 (=> @t55 (tptp.c_Rings_Odvd__class_Odvd @t8 @t13 @t25)))) % 1.31/1.51 (assume @p24 (forall @t79 (=> @t32 (= (tptp.c_Rings_Odvd__class_Odvd @t8 @t78 @t77) @t75)))) % 1.31/1.51 (assume @p25 (forall @t84 (=> @t32 (= (tptp.c_Rings_Odvd__class_Odvd @t8 @t83 @t81) @t75)))) % 1.31/1.51 (assume @p26 (forall @t87 (=> @t55 (=> @t86 @t85)))) % 1.31/1.51 (assume @p27 (forall @t87 (=> @t55 (=> @t86 @t88)))) % 1.31/1.51 (assume @p28 (forall (@list @t89 @t20 @t13 @t8) (=> @t91 (=> (= @t13 (tptp.hAPP @t90 @t89)) (tptp.c_Rings_Odvd__class_Odvd @t8 @t20 @t13))))) % 1.31/1.51 (assume @p29 (forall @t96 (=> @t55 (=> @t95 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t15 @t92) (tptp.c_Rings_Odvd__class_Odvd @t8 @t94 @t93)))))) % 1.31/1.51 (assume @p30 (forall @t99 (=> @t55 (=> @t88 @t98)))) % 1.31/1.51 (assume @p31 (forall @t87 (=> @t55 (=> @t95 @t98)))) % 1.31/1.51 (assume @p32 (forall @t101 (=> @t55 (tptp.c_Rings_Odvd__class_Odvd @t8 @t13 @t100)))) % 1.31/1.51 (assume @p33 (forall @t101 (=> @t55 (tptp.c_Rings_Odvd__class_Odvd @t8 @t13 @t23)))) % 1.31/1.51 (assume @p34 (forall @t52 (=> @t55 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t25 @t13) @t61)))) % 1.31/1.51 (assume @p35 (forall @t87 (=> @t55 (=> @t95 (=> @t85 @t88))))) % 1.31/1.51 (assume @p36 (forall @t52 (=> @t55 (tptp.c_Rings_Odvd__class_Odvd @t8 @t13 @t13)))) % 1.31/1.51 (assume @p37 (forall @t52 (=> @t104 @t103))) % 1.31/1.51 (assume @p38 (forall @t52 (=> @t104 @t105))) % 1.31/1.51 (assume @p39 (forall @t108 (=> (tptp.class_Rings_Oring__no__zero__divisors @t8) (= (= @t107 @t25) (or @t30 @t106))))) % 1.31/1.51 (assume @p40 (forall @t101 (=> @t112 (=> @t62 (=> @t111 (not @t109)))))) % 1.31/1.51 (assume @p41 (forall @t101 (=> @t112 (=> @t109 (or @t61 @t110))))) % 1.31/1.51 (assume @p42 (forall @t52 (=> @t55 @t103))) % 1.31/1.51 (assume @p43 (forall (@list @t20 @t8) (=> @t113 (= (tptp.hAPP @t102 @t20) @t25)))) % 1.31/1.51 (assume @p44 (forall @t115 (=> @t113 (= (tptp.hAPP @t102 @t114) @t25)))) % 1.31/1.51 (assume @p45 (forall @t52 (=> @t55 @t105))) % 1.31/1.51 (assume @p46 (forall @t52 (=> @t113 @t105))) % 1.31/1.51 (assume @p47 (forall @t118 (=> @t113 (= (tptp.hAPP @t117 @t25) @t25)))) % 1.31/1.51 (assume @p48 (forall (@list @t27 @t29 @t8 @t119 @t2 @t120) (=> @t127 (=> @t126 (= @t123 (tptp.hAPP @t122 @t121)))))) % 1.31/1.51 (assume @p49 (forall (@list @t27 @t29 @t2 @t119 @t8 @t120) (=> @t127 (= @t123 (tptp.hAPP @t122 (tptp.c_If @t8 (tptp.c_fequal @t27 @t125) @t119 @t121)))))) % 1.31/1.51 (assume @p50 @t130) % 1.31/1.51 (assume @p51 (forall @t47 (=> @t17 (= (tptp.hAPP (tptp.hAPP @t41 @t14) @t40) (tptp.c_Groups_Oplus__class_Oplus @t9 @t45 @t128))))) % 1.31/1.51 (assume @p52 (forall (@list @t132 @t13 @t8) (=> @t17 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t8 @t131 @t132) @t131)))) % 1.31/1.51 (assume @p53 (forall (@list @t15 @t13 @t8) (=> @t55 (= @t134 @t133)))) % 1.31/1.51 (assume @p54 (forall @t137 (=> @t55 (= @t136 (tptp.c_Groups_Oplus__class_Oplus @t8 @t15 (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 @t92)))))) % 1.31/1.51 (assume @p55 (forall @t137 (=> @t55 (= @t136 (tptp.c_Groups_Oplus__class_Oplus @t8 @t134 @t92))))) % 1.31/1.51 (assume @p56 (forall @t87 (=> @t55 @t141))) % 1.31/1.51 (assume @p57 (forall @t87 (=> @t55 (= @t140 (tptp.c_Groups_Oplus__class_Oplus @t8 @t134 @t20))))) % 1.31/1.51 (assume @p58 (forall @t96 (=> @t55 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t139 @t135) (tptp.c_Groups_Oplus__class_Oplus @t8 @t134 @t142))))) % 1.31/1.51 (assume @p59 (forall @t146 (=> @t145 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t14 @t144) (tptp.c_Polynomial_OpCons @t8 @t139 @t143))))) % 1.31/1.51 (assume @p60 (forall @t149 (=> @t148 (= (= @t70 @t147) @t30)))) % 1.31/1.51 (assume @p61 @t153) % 1.31/1.51 (assume @p62 (forall @t52 (=> @t55 @t154))) % 1.31/1.51 (assume @p63 (forall @t24 (=> @t17 (= (tptp.c_Polynomial_Osmult @t8 @t139 @t11) (tptp.c_Groups_Oplus__class_Oplus @t9 @t19 @t72))))) % 1.31/1.51 (assume @p64 (forall (@list @t119 @t156 @t155 @t157 @t8) (=> @t148 (= (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t161 @t160) (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t159 @t119) (tptp.hAPP @t158 @t155))) (or (= @t157 @t156) (= @t155 @t119)))))) % 1.31/1.51 (assume @p65 (forall (@list @t20 @t162 @t13 @t8) (=> @t55 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t164 (tptp.hAPP @t90 @t162)) (tptp.hAPP @t163 @t162))))) % 1.31/1.51 (assume @p66 (forall @t170 (=> @t113 (= (tptp.hAPP (tptp.hAPP @t21 @t169) @t165) (tptp.c_Groups_Oplus__class_Oplus @t8 @t168 @t167))))) % 1.31/1.51 (assume @p67 (forall @t173 (=> @t113 (= (tptp.hAPP (tptp.hAPP @t21 (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 @t171)) @t20) (tptp.c_Groups_Oplus__class_Oplus @t8 @t23 @t172))))) % 1.31/1.51 (assume @p68 (forall @t87 (=> @t55 @t174))) % 1.31/1.51 (assume @p69 (forall @t177 (=> @t148 (= (and (not @t71) (not @t176)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t83 (tptp.hAPP @t80 @t175)) (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t82 @t175) @t81))))))) % 1.31/1.51 (assume @p70 (forall @t182 (=> @t113 (= (tptp.hAPP @t179 @t169) (tptp.c_Groups_Oplus__class_Oplus @t8 @t181 @t180))))) % 1.31/1.51 (assume @p71 (forall @t186 (=> @t55 (= (tptp.hAPP @t117 (tptp.c_Groups_Oplus__class_Oplus @t8 @t114 @t183)) (tptp.c_Groups_Oplus__class_Oplus @t8 @t185 @t184))))) % 1.31/1.51 (assume @p72 (forall @t189 (=> @t113 (= (tptp.hAPP @t22 (tptp.c_Groups_Oplus__class_Oplus @t8 @t20 @t187)) (tptp.c_Groups_Oplus__class_Oplus @t8 @t23 @t188))))) % 1.31/1.51 (assume @p73 (forall (@list @t15 @t20 @t190 @t13 @t8) (=> (tptp.class_Rings_Osemiring @t8) (= (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t22 @t190) (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t90 @t190) @t15)) (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t163 @t190) @t15))))) % 1.31/1.51 (assume @p74 (forall @t87 (=> (tptp.class_Rings_Ocomm__semiring @t8) @t174))) % 1.31/1.51 (assume @p75 (forall @t87 (=> @t55 (=> @t95 (=> @t88 (tptp.c_Rings_Odvd__class_Odvd @t8 @t13 @t138)))))) % 1.31/1.51 (assume @p76 (forall @t26 (=> @t145 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t11 @t10) @t11)))) % 1.31/1.51 (assume @p77 (forall @t48 (=> @t145 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t10 @t40) @t40)))) % 1.31/1.51 (assume @p78 (forall (@list @t92 @t15 @t20 @t13 @t191 @t8) (=> @t148 (=> (not (= @t191 @t25)) (=> (and @t193 (not (= @t15 @t92))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 (tptp.hAPP @t192 @t15)) (tptp.c_Groups_Oplus__class_Oplus @t8 @t20 (tptp.hAPP @t192 @t92))))))))) % 1.31/1.51 (assume @p79 (forall @t47 (=> @t17 (= (tptp.c_Polynomial_Osmult @t8 @t13 @t143) (tptp.c_Groups_Oplus__class_Oplus @t9 @t19 @t45))))) % 1.31/1.51 (assume @p80 (forall (@list @t191 @t40 @t11 @t8) (=> @t17 (= (tptp.hAPP (tptp.hAPP @t41 @t143) @t191) (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t42 @t191) (tptp.hAPP @t194 @t191)))))) % 1.31/1.51 (assume @p81 (forall (@list @t132 @t11 @t13 @t8) (=> @t17 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t8 @t14 @t132) (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.c_Polynomial_Osmult @t8 @t132 @t195) (tptp.c_Polynomial_OpCons @t8 @t13 @t195)))))) % 1.31/1.51 (assume @p82 (forall (@list @t196 @t27 @t8) (=> @t17 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t8 @t27 @t196) @t10) @t28)))) % 1.31/1.51 (assume @p83 (forall (@list @t132 @t8) (=> @t17 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t8 @t10 @t132) @t10)))) % 1.31/1.51 (assume @p84 (forall @t208 (=> @t55 (= @t207 (tptp.hAPP @t203 (tptp.hAPP @t199 @t197)))))) % 1.31/1.51 (assume @p85 (forall @t208 (=> @t55 (= @t207 (tptp.hAPP @t204 (tptp.hAPP @t206 @t197)))))) % 1.31/1.51 (assume @p86 (forall @t208 (=> @t55 (= @t207 (tptp.hAPP @t202 (tptp.hAPP @t199 @t205)))))) % 1.31/1.51 (assume @p87 (forall @t210 (=> @t55 (= @t209 (tptp.hAPP @t203 @t198))))) % 1.31/1.51 (assume @p88 (forall @t210 (=> @t55 (= @t209 (tptp.hAPP @t202 (tptp.hAPP @t199 @t200)))))) % 1.31/1.51 (assume @p89 (forall @t212 (=> @t55 (= @t211 (tptp.hAPP @t203 @t197))))) % 1.31/1.51 (assume @p90 (forall @t212 (=> @t55 (= @t211 (tptp.hAPP @t204 (tptp.hAPP @t202 @t197)))))) % 1.31/1.51 (assume @p91 (forall @t101 (=> @t55 (= @t23 @t100)))) % 1.31/1.51 (assume @p92 (forall @t18 (=> @t17 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t16 @t14) @t10) @t12)))) % 1.31/1.51 (assume @p93 (forall (@list @t8 @t119 @t2 @t120) (=> @t127 (=> @t126 (= (tptp.c_Polynomial_Opoly__rec @t8 @t120 @t119 @t2 @t125) @t119))))) % 1.31/1.51 (assume @p94 (forall (@list @t215 @t213 @t8) (=> (and @t91 @t216) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t213 (tptp.hAPP (tptp.hAPP @t21 @t215) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t8 @t215 (tptp.c_Groups_Oplus__class_Oplus @t8 @t3 @t25)) @t214)))))) % 1.31/1.51 (assume @p95 (forall @t47 (=> @t17 (= (tptp.c_Polynomial_Opcompose @t8 @t14 @t40) (tptp.c_Groups_Oplus__class_Oplus @t9 @t131 (tptp.hAPP @t194 @t217)))))) % 1.31/1.51 (assume @p96 (forall @t224 (=> @t223 (= (= @t222 @t25) @t220)))) % 1.31/1.51 (assume @p97 (forall @t227 (=> @t226 (= (= @t225 @t25) @t30)))) % 1.31/1.51 (assume @p98 (forall @t52 (=> @t145 @t151))) % 1.31/1.51 (assume @p99 (forall @t52 (=> @t228 @t151))) % 1.31/1.51 (assume @p100 (forall @t227 (=> @t226 (= (= @t25 @t225) @t30)))) % 1.31/1.51 (assume @p101 (forall @t52 (=> @t145 @t154))) % 1.31/1.51 (assume @p102 (forall @t52 (=> @t228 @t154))) % 1.31/1.51 (assume @p103 (forall @t233 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t232) @t116) @t231))) % 1.31/1.51 (assume @p104 (forall @t236 (=> @t17 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 @t14) @t116) (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 (tptp.hAPP @t117 @t235)))))) % 1.31/1.51 (assume @p105 (forall @t239 (=> @t238 (= (= @t237 (tptp.c_Polynomial_Opoly @t8 @t64)) @t69)))) % 1.31/1.51 (assume @p106 (forall @t241 (=> @t17 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 @t217) @t116) (tptp.hAPP @t234 @t240))))) % 1.31/1.51 (assume @p107 (forall @t243 (=> @t238 (= (= @t237 @t242) @t28)))) % 1.31/1.51 (assume @p108 (forall @t118 (=> @t17 (= (tptp.hAPP @t242 @t116) @t25)))) % 1.31/1.51 (assume @p109 (forall @t236 (=> @t17 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 @t19) @t116) (tptp.hAPP @t22 @t235))))) % 1.31/1.51 (assume @p110 (forall @t241 (=> @t17 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 @t143) @t116) (tptp.c_Groups_Oplus__class_Oplus @t8 @t235 @t240))))) % 1.31/1.51 (assume @p111 (forall @t241 (=> @t17 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 @t43) @t116) (tptp.hAPP (tptp.hAPP @t21 @t235) @t240))))) % 1.31/1.51 (assume @p112 (forall @t233 (= @t58 @t231))) % 1.31/1.51 (assume @p113 (forall @t233 (= @t231 @t58))) % 1.31/1.51 (assume @p114 (forall (@list @t116 @t11) (=> (= (tptp.hAPP @t244 @t116) @t58) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t58 @t11)) @t116) @t58)))) % 1.31/1.51 (assume @p115 (forall @t246 (= @t15 @t245))) % 1.31/1.51 (assume @p116 (forall @t246 (= @t245 @t15))) % 1.31/1.51 (assume @p117 (forall @t247 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex (tptp.hAPP @t230 @t114) @t229)) @t116) @t231))) % 1.31/1.51 (assume @p118 (forall (@list @t116 @t132 @t11 @t8) (=> @t17 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 @t195) @t116) (tptp.hAPP @t234 (tptp.c_Groups_Oplus__class_Oplus @t8 @t132 @t116)))))) % 1.31/1.51 (assume @p119 (forall @t48 (=> @t17 (= (tptp.c_Polynomial_Opcompose @t8 @t10 @t40) @t10)))) % 1.31/1.51 (assume @p120 (forall @t248 (=> @t35 (= (= @t25 @t156) @t219)))) % 1.31/1.51 (assume @p121 (forall @t87 (=> (tptp.class_Groups_Oab__semigroup__mult @t8) (= (tptp.hAPP (tptp.hAPP @t21 @t23) @t15) (tptp.hAPP @t22 @t97))))) % 1.31/1.51 (assume @p122 (forall @t251 (=> @t250 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t20 @t13) @t133) @t249)))) % 1.31/1.51 (assume @p123 (forall @t87 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t8) @t252))) % 1.31/1.51 (assume @p124 (forall @t87 (=> @t250 @t252))) % 1.31/1.51 (assume @p125 (forall (@list @t73 @t29 @t70 @t8) (=> @t250 (= (= @t147 @t254) @t253)))) % 1.31/1.51 (assume @p126 (forall @t257 (=> @t250 (= (= @t256 @t255) @t253)))) % 1.31/1.51 (assume @p127 (forall @t87 (=> (tptp.class_Groups_Oab__semigroup__add @t8) @t141))) % 1.31/1.51 (assume @p128 (forall @t261 (=> @t17 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t11 (tptp.c_Polynomial_Osmult @t8 @t15 @t258)) @t260)))) % 1.31/1.51 (assume @p129 (forall (@list @t191 @t40 @t15 @t11 @t8) (=> @t17 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t11 (tptp.c_Polynomial_Osmult @t8 @t15 @t40)) (tptp.c_Polynomial_OpCons @t8 @t191 @t40)) (and (= @t191 @t259) (= @t40 @t258)))))) % 1.31/1.51 (assume @p130 (forall (@list @t29 @t27 @t8) (=> @t32 (= (= (tptp.hAPP @t237 @t29) @t25) (or @t28 (not (= (tptp.c_Polynomial_Oorder @t8 @t29 @t27) @t262))))))) % 1.31/1.51 (assume @p131 (forall @t233 (= @t116 (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t58 (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex) @t229))) @t116)))) % 1.31/1.51 (assume @p132 (forall (@list @t15 @t11 @t13 @t8) (=> @t17 (= (tptp.c_Polynomial_Osynthetic__div @t8 @t14 @t15) @t260)))) % 1.31/1.51 (assume @p133 (forall (@list @t263 @t265 @t183 @t191 @t40 @t114 @t116 @t8) (=> @t63 (=> @t266 (=> (tptp.c_Polynomial_Opdivmod__rel @t8 @t40 @t183 @t265 @t263) (tptp.c_Polynomial_Opdivmod__rel @t8 @t116 (tptp.hAPP @t264 @t183) @t265 (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP @t264 @t263) @t191))))))) % 1.31/1.51 (assume @p134 (forall @t52 (=> @t268 (= @t267 @t13)))) % 1.31/1.51 (assume @p135 (forall @t118 (=> @t268 (= @t269 @t116)))) % 1.31/1.51 (assume @p136 (forall @t101 (=> @t268 (= (tptp.hAPP @t22 @t23) @t23)))) % 1.31/1.51 (assume @p137 (forall @t248 (=> (tptp.class_Groups_Oone @t8) (= (= @t270 @t156) @t271)))) % 1.31/1.51 (assume @p138 (forall @t280 (=> @t63 (=> @t279 (=> @t278 (and @t277 @t274)))))) % 1.31/1.51 (assume @p139 (forall @t280 (=> @t63 (=> @t279 (=> @t278 @t274))))) % 1.31/1.51 (assume @p140 (forall @t280 (=> @t63 (=> @t279 (=> @t278 @t277))))) % 1.31/1.51 (assume @p141 (forall @t118 (=> @t55 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 @t281) @t116) @t270)))) % 1.31/1.51 (assume @p142 (forall @t37 (=> @t55 (= @t281 @t282)))) % 1.31/1.51 (assume @p143 (forall @t37 (=> @t283 (not (= @t25 @t270))))) % 1.31/1.51 (assume @p144 (forall @t37 (=> @t283 (not (= @t270 @t25))))) % 1.31/1.51 (assume @p145 (forall @t52 (=> @t55 @t284))) % 1.31/1.51 (assume @p146 (forall @t52 (=> @t55 @t285))) % 1.31/1.51 (assume @p147 (forall @t52 (=> @t286 @t284))) % 1.31/1.51 (assume @p148 (forall @t52 (=> @t287 @t284))) % 1.31/1.51 (assume @p149 (forall @t52 (=> @t286 @t285))) % 1.31/1.51 (assume @p150 (forall @t52 (=> @t287 @t285))) % 1.31/1.51 (assume @p151 (forall @t52 (=> @t55 (tptp.c_Rings_Odvd__class_Odvd @t8 @t270 @t13)))) % 1.31/1.51 (assume @p152 (forall @t26 (=> @t55 (= (tptp.c_Polynomial_Osmult @t8 @t270 @t11) @t11)))) % 1.31/1.51 (assume @p153 (forall @t118 (=> @t63 (tptp.c_Polynomial_Opdivmod__rel @t8 @t116 @t10 @t10 @t116)))) % 1.31/1.51 (assume @p154 (forall @t115 (=> @t63 (tptp.c_Polynomial_Opdivmod__rel @t8 @t10 @t114 @t10 @t10)))) % 1.31/1.51 (assume @p155 (forall (@list @t288 @t64 @t156 @t8) (=> @t63 (= (tptp.c_Polynomial_Opdivmod__rel @t8 @t156 @t10 @t64 @t288) (and @t68 (= @t288 @t156)))))) % 1.31/1.51 (assume @p156 (forall (@list @t288 @t64 @t155 @t8) (=> @t63 (= (tptp.c_Polynomial_Opdivmod__rel @t8 @t10 @t155 @t64 @t288) (and @t68 @t289))))) % 1.31/1.51 (assume @p157 (forall (@list @t13 @t191 @t40 @t114 @t116 @t8) (=> @t63 (=> @t266 (tptp.c_Polynomial_Opdivmod__rel @t8 (tptp.c_Polynomial_Osmult @t8 @t13 @t116) @t114 @t45 (tptp.c_Polynomial_Osmult @t8 @t13 @t191)))))) % 1.31/1.51 (assume @p158 (forall (@list @t162 @t13 @t8) (=> @t55 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t164 @t162) @t291)))) % 1.31/1.51 (assume @p159 (forall (@list @t13 @t162 @t8) (=> @t55 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t162 @t164) @t291)))) % 1.31/1.51 (assume @p160 (forall (@list @t162 @t8) (=> @t55 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t162 @t162) (tptp.hAPP (tptp.hAPP @t21 @t292) @t162))))) % 1.31/1.51 (assume @p161 (forall (@list @t15 @t8) (=> @t17 (= (tptp.c_Polynomial_Osynthetic__div @t8 @t10 @t15) @t10)))) % 1.31/1.51 (assume @p162 (forall (@list @t11 @t15 @t8) (=> @t293 (= (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP (tptp.hAPP @t41 (tptp.c_Polynomial_OpCons @t8 (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t15) @t282)) @t258) (tptp.c_Polynomial_OpCons @t8 @t259 @t10)) @t11)))) % 1.31/1.51 (assume @p163 (forall (@list @t27 @t73 @t8) (=> @t32 (= (tptp.c_Rings_Odvd__class_Odvd @t9 (tptp.c_Polynomial_OpCons @t8 @t73 @t282) @t27) (= (tptp.hAPP @t237 @t294) @t25))))) % 1.31/1.51 (assume @p164 (forall @t295 (=> @t32 (= (= (tptp.hAPP @t237 @t73) @t25) (tptp.c_Rings_Odvd__class_Odvd @t9 (tptp.c_Polynomial_OpCons @t8 @t294 @t282) @t27))))) % 1.31/1.51 (assume @p165 (forall @t243 (=> @t35 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t8 @t27) @t262) @t28)))) % 1.31/1.51 (assume @p166 (forall @t52 (=> @t35 (= (tptp.c_Polynomial_Omonom @t8 @t13 @t262) @t131)))) % 1.31/1.51 (assume @p167 (forall @t302 (=> (tptp.class_Rings_Olinordered__semiring__1 @t8) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t116 @t13) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t114 @t13) (=> @t301 (=> @t300 (=> @t299 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t298 @t13))))))))) % 1.31/1.51 (assume @p168 (forall @t304 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t262 @t303) @t303))) % 1.31/1.51 (assume @p169 (forall @t305 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t162 @t262) @t162))) % 1.31/1.51 (assume @p170 (forall @t311 (= (= @t310 @t262) (and @t309 @t307)))) % 1.31/1.51 (assume @p171 (forall @t304 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t262 @t303))) % 1.31/1.52 (assume @p172 (forall @t227 (=> @t226 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t313 @t29) @t312)))) % 1.31/1.52 (assume @p173 (forall @t227 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t313 @t25) @t312)))) % 1.31/1.52 (assume @p174 (forall @t227 (=> @t226 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t29 @t313) @t315)))) % 1.31/1.52 (assume @p175 (forall @t227 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t313) @t315)))) % 1.31/1.52 (assume @p176 (forall @t316 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t306 @t262) @t307))) % 1.31/1.52 (assume @p177 (forall @t322 (=> (= @t162 @t321) (or (= @t303 @t318) @t317)))) % 1.31/1.52 (assume @p178 (forall @t118 (=> @t324 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t323) @t116)))) % 1.31/1.52 (assume @p179 (forall (@list @t156 @t325 @t120 @t8) (=> (tptp.class_Groups_Ouminus @t8) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t327 @t325) @t156) (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t326))))) % 1.31/1.52 (assume @p180 (forall @t224 (=> @t324 (= (= @t330 @t329) @t328)))) % 1.31/1.52 (assume @p181 (forall @t224 (=> @t324 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t330 @t329) @t331)))) % 1.31/1.52 (assume @p182 (forall @t334 (=> @t324 (=> @t333 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t332 @t323))))) % 1.31/1.52 (assume @p183 (forall @t338 (=> @t337 (= (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t336) (tptp.c_Polynomial_Omonom @t8 @t335 @t303))))) % 1.31/1.52 (assume @p184 (forall (@list @t70 @t306 @t29 @t8) (=> @t35 (= (= @t339 (tptp.c_Polynomial_Omonom @t8 @t70 @t306)) @t71)))) % 1.31/1.52 (assume @p185 (forall @t342 (=> @t341 (= (tptp.c_Polynomial_Osmult @t8 @t335 @t11) @t340)))) % 1.31/1.52 (assume @p186 (forall @t342 (=> @t337 (= (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t14) (tptp.c_Polynomial_OpCons @t8 @t335 @t343))))) % 1.31/1.52 (assume @p187 (forall (@list @t11 @t13 @t120) (=> (tptp.class_Groups_Oab__group__add @t120) (= (tptp.c_Groups_Ouminus__class_Ouminus @t124 (tptp.c_Polynomial_OpCons @t120 @t13 @t11)) (tptp.c_Polynomial_OpCons @t120 (tptp.c_Groups_Ouminus__class_Ouminus @t120 @t13) (tptp.c_Groups_Ouminus__class_Ouminus @t124 @t11)))))) % 1.31/1.52 (assume @p188 (forall @t52 (=> @t344 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t335) @t13)))) % 1.31/1.52 (assume @p189 (forall @t108 (=> @t344 (= @t346 (= @t70 @t313))))) % 1.31/1.52 (assume @p190 (forall @t108 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t29 @t345) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t70 @t313))))) % 1.31/1.52 (assume @p191 (forall @t108 (=> @t344 (= (= @t313 @t70) (= @t345 @t29))))) % 1.31/1.52 (assume @p192 (forall @t108 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t313 @t70) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t345 @t29))))) % 1.31/1.52 (assume @p193 (forall @t108 (=> @t344 (= (= @t313 @t345) @t71)))) % 1.31/1.52 (assume @p194 (forall @t149 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t345 @t313) @t347)))) % 1.31/1.52 (assume @p195 (forall @t101 (=> @t314 (=> @t349 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t348 @t335))))) % 1.31/1.52 (assume @p196 (forall (@list @t116 @t11 @t8) (=> @t341 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 @t343) @t116) (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t235))))) % 1.31/1.52 (assume @p197 (forall @t354 (= (tptp.hAPP @t350 @t353) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t352 @t351)))) % 1.31/1.52 (assume @p198 (forall @t358 (= (tptp.hAPP (tptp.hAPP @t319 @t353) @t89) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t357 @t356)))) % 1.31/1.52 (assume @p199 (forall @t363 (=> @t362 (not (=> @t360 (not @t359)))))) % 1.31/1.52 (assume @p200 (forall @t363 (=> @t362 @t360))) % 1.31/1.52 (assume @p201 (forall @t363 (=> @t362 @t359))) % 1.31/1.52 (assume @p202 (forall @t371 (=> @t370 (=> @t369 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t368 @t366))))) % 1.31/1.52 (assume @p203 (forall @t373 (=> @t370 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t368 @t372)))) % 1.31/1.52 (assume @p204 (forall @t375 (=> @t370 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t367 @t374)))) % 1.31/1.52 (assume @p205 (forall @t375 (=> @t370 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t367 @t376)))) % 1.31/1.52 (assume @p206 (forall @t381 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t380 @t379) @t377))) % 1.31/1.52 (assume @p207 (forall @t384 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t308 @t378) @t383) @t382))) % 1.31/1.52 (assume @p208 (forall @t381 (= (= @t380 @t379) @t382))) % 1.31/1.52 (assume @p209 (forall @t358 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t353 @t89) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t162 @t385)))) % 1.31/1.52 (assume @p210 (forall @t387 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t116 @t386) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t114 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t116 @t183))))) % 1.31/1.52 (assume @p211 (forall @t322 (= @t353 @t388))) % 1.31/1.52 (assume @p212 (forall @t311 (= @t377 (exists @t391 (= @t306 @t390))))) % 1.31/1.52 (assume @p213 (forall @t392 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t303 @t388))) % 1.31/1.52 (assume @p214 (forall @t392 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t303 @t353))) % 1.31/1.52 (assume @p215 (forall (@list @t306 @t378) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t378 @t383) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t378 @t306)))) % 1.31/1.52 (assume @p216 (forall @t37 (=> @t344 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t25) @t25)))) % 1.31/1.52 (assume @p217 (forall @t227 (=> @t344 (= (= @t25 @t313) (= @t25 @t29))))) % 1.31/1.52 (assume @p218 (forall @t227 (=> @t226 (= (= @t29 @t313) @t30)))) % 1.31/1.52 (assume @p219 (forall @t227 (=> @t344 (= (= @t313 @t25) @t30)))) % 1.31/1.52 (assume @p220 (forall @t227 (=> @t226 (= (= @t313 @t29) @t30)))) % 1.31/1.52 (assume @p221 (forall @t101 (=> @t395 (= @t394 @t393)))) % 1.31/1.52 (assume @p222 (forall @t101 (=> @t395 (= @t394 @t397)))) % 1.31/1.52 (assume @p223 (forall @t101 (=> @t395 (= @t397 @t393)))) % 1.31/1.52 (assume @p224 (forall @t101 (=> @t395 (= (tptp.hAPP @t396 @t348) @t23)))) % 1.31/1.52 (assume @p225 (forall @t108 (=> @t32 (= (= (tptp.hAPP @t82 @t29) (tptp.hAPP @t80 @t70)) (or @t71 @t346))))) % 1.31/1.52 (assume @p226 (forall @t101 (=> @t113 (= @t393 @t394)))) % 1.31/1.52 (assume @p227 (forall (@list @t116 @t178 @t8) (=> @t113 (= (tptp.hAPP @t179 @t323) (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t181))))) % 1.31/1.52 (assume @p228 (forall @t101 (=> @t113 (= @t397 @t394)))) % 1.31/1.52 (assume @p229 (forall @t334 (=> @t113 (= (tptp.hAPP (tptp.hAPP @t21 @t323) @t114) (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t185))))) % 1.31/1.52 (assume @p230 (forall @t101 (=> @t344 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t335 @t139) @t20)))) % 1.31/1.52 (assume @p231 (forall @t101 (=> @t344 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 (tptp.c_Groups_Oplus__class_Oplus @t8 @t335 @t20)) @t20)))) % 1.31/1.52 (assume @p232 (forall @t101 (=> @t344 (= @t398 (tptp.c_Groups_Oplus__class_Oplus @t8 @t348 @t335))))) % 1.31/1.52 (assume @p233 (forall @t101 (=> @t337 (= @t398 (tptp.c_Groups_Oplus__class_Oplus @t8 @t335 @t348))))) % 1.31/1.52 (assume @p234 (forall @t224 (=> @t293 (= (tptp.c_Rings_Odvd__class_Odvd @t8 @t330 @t155) @t399)))) % 1.31/1.52 (assume @p235 (forall @t224 (=> @t293 (= (tptp.c_Rings_Odvd__class_Odvd @t8 @t156 @t329) @t399)))) % 1.31/1.52 (assume @p236 (forall @t403 (=> @t402 (=> @t401 @t349)))) % 1.31/1.52 (assume @p237 (forall @t99 (=> @t402 (=> @t404 @t349)))) % 1.31/1.52 (assume @p238 (forall @t96 (=> @t406 (=> @t349 (=> @t405 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t134 @t142)))))) % 1.31/1.52 (assume @p239 (forall @t87 (=> @t406 (=> @t349 @t401)))) % 1.31/1.52 (assume @p240 (forall @t87 (=> @t406 (=> @t349 @t404)))) % 1.31/1.52 (assume @p241 (forall @t79 (=> @t402 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t254 @t407) @t347)))) % 1.31/1.52 (assume @p242 (forall @t84 (=> @t402 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t255 @t408) @t347)))) % 1.31/1.52 (assume @p243 (forall @t37 (=> @t337 (= (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t10) @t10)))) % 1.31/1.52 (assume @p244 (forall @t342 (=> @t341 (= (tptp.c_Polynomial_Osmult @t8 @t13 @t343) @t340)))) % 1.31/1.52 (assume @p245 (forall @t101 (=> @t344 (=> (= @t139 @t25) (= @t335 @t20))))) % 1.31/1.52 (assume @p246 (forall @t52 (=> @t337 @t409))) % 1.31/1.52 (assume @p247 (forall @t52 (=> @t344 @t409))) % 1.31/1.52 (assume @p248 (forall @t108 (=> @t344 (= @t346 (= @t256 @t25))))) % 1.31/1.52 (assume @p249 (forall @t52 (=> @t344 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t13 @t335) @t25)))) % 1.31/1.52 (assume @p250 (forall @t118 (=> @t293 (= @t323 (tptp.hAPP (tptp.hAPP @t21 @t410) @t116))))) % 1.31/1.52 (assume @p251 (forall @t248 (=> @t411 (= (= @t221 @t270) (or @t271 (= @t156 @t410)))))) % 1.31/1.52 (assume @p252 (forall @t52 (=> @t412 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t267)))) % 1.31/1.52 (assume @p253 (forall @t108 (=> @t223 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t107) @t415)))) % 1.31/1.52 (assume @p254 (forall @t108 (=> @t223 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t107 @t25) @t416)))) % 1.31/1.52 (assume @p255 (forall @t101 (=> @t420 (=> @t419 (=> @t418 @t417))))) % 1.31/1.52 (assume @p256 (forall @t101 (=> @t420 (=> @t419 (=> @t422 @t421))))) % 1.31/1.52 (assume @p257 (forall @t101 (=> @t420 (=> @t419 (=> @t422 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t100 @t25)))))) % 1.31/1.52 (assume @p258 (forall @t101 (=> @t420 (=> @t423 (=> @t418 @t421))))) % 1.31/1.52 (assume @p259 (forall @t101 (=> @t424 (=> @t423 (=> @t422 @t417))))) % 1.31/1.52 (assume @p260 (forall @t87 (=> @t427 (=> @t349 (=> @t426 @t425))))) % 1.31/1.52 (assume @p261 (forall @t87 (=> @t427 @t432))) % 1.31/1.52 (assume @p262 (forall @t87 (=> (tptp.class_Rings_Oordered__comm__semiring @t8) @t432))) % 1.31/1.52 (assume @p263 (forall @t251 (=> @t424 (=> @t434 (=> @t433 @t425))))) % 1.31/1.52 (assume @p264 (forall @t251 (=> @t424 (=> @t434 (=> @t433 @t431))))) % 1.31/1.52 (assume @p265 (forall @t96 (=> @t427 (=> @t349 (=> @t405 (=> @t419 @t435)))))) % 1.31/1.52 (assume @p266 (forall @t96 (=> @t427 (=> @t349 (=> @t405 (=> @t418 @t435)))))) % 1.31/1.52 (assume @p267 (forall @t101 (=> @t424 (=> (or (and @t419 @t418) (and @t423 @t422)) @t417)))) % 1.31/1.52 (assume @p268 (forall @t101 (=> @t420 (=> (or (and @t419 @t422) (and @t423 @t418)) @t421)))) % 1.31/1.52 (assume @p269 (forall @t101 (=> @t436 (=> @t423 (=> @t422 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t139 @t25)))))) % 1.31/1.52 (assume @p270 (forall @t438 (=> @t436 (=> @t426 (=> @t434 @t437))))) % 1.31/1.52 (assume @p271 (forall @t87 (=> @t436 (=> @t419 (=> @t439 @t437))))) % 1.31/1.52 (assume @p272 (forall @t224 (=> @t436 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t156) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t155) (= @t440 @t220)))))) % 1.31/1.52 (assume @p273 (forall @t101 (=> @t436 (=> @t419 (=> @t418 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t139)))))) % 1.31/1.52 (assume @p274 (forall @t227 (=> @t226 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t225 @t25) @t315)))) % 1.31/1.52 (assume @p275 (forall @t227 (=> @t226 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t225) @t312)))) % 1.31/1.52 (assume @p276 (forall @t37 (=> @t441 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t270)))) % 1.31/1.52 (assume @p277 (forall @t37 (=> @t441 (not (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t270 @t25))))) % 1.31/1.52 (assume @p278 (forall @t442 (=> @t35 (= (tptp.c_Polynomial_Omonom @t8 @t25 @t303) @t10)))) % 1.31/1.52 (assume @p279 (forall @t443 (=> @t35 (= (= @t339 @t10) @t30)))) % 1.31/1.52 (assume @p280 (forall @t445 (=> @t17 (= (tptp.c_Polynomial_Osmult @t8 @t13 @t444) (tptp.c_Polynomial_Omonom @t8 @t23 @t303))))) % 1.31/1.52 (assume @p281 (forall @t446 (=> @t145 (= (tptp.c_Groups_Oplus__class_Oplus @t9 @t336 @t444) (tptp.c_Polynomial_Omonom @t8 @t139 @t303))))) % 1.31/1.52 (assume @p282 (forall (@list @t303 @t20 @t162 @t13 @t8) (=> @t17 (= (tptp.hAPP (tptp.hAPP @t41 @t447) @t444) (tptp.c_Polynomial_Omonom @t8 @t23 @t353))))) % 1.31/1.52 (assume @p283 (forall @t334 (=> @t412 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t448)))) % 1.31/1.52 (assume @p284 (forall @t224 (=> @t223 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t222 @t25) @t220)))) % 1.31/1.52 (assume @p285 (forall @t334 (=> @t452 (=> @t451 (=> @t450 (=> @t449 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t185 @t116))))))) % 1.31/1.52 (assume @p286 (forall @t334 (=> @t452 (=> @t451 (=> @t450 (=> @t449 (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.hAPP @t166 @t116) @t116))))))) % 1.31/1.52 (assume @p287 (forall @t384 (= (= @t458 @t456) @t454))) % 1.31/1.52 (assume @p288 (forall @t381 (= @t462 @t454))) % 1.31/1.52 (assume @p289 (forall @t311 (= (= @t463 @t262) (or @t309 @t307)))) % 1.31/1.52 (assume @p290 (forall @t305 (= (tptp.hAPP @t320 @t262) @t262))) % 1.31/1.52 (assume @p291 (forall @t304 (= (tptp.hAPP (tptp.hAPP @t319 @t262) @t303) @t262))) % 1.31/1.52 (assume @p292 (forall @t322 (=> (= @t353 @t162) @t464))) % 1.31/1.52 (assume @p293 (forall @t224 (=> @t344 (= @t440 (= @t155 @t330))))) % 1.31/1.52 (assume @p294 (forall @t118 (=> @t465 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t116 @t116)))) % 1.31/1.52 (assume @p295 (forall @t342 (=> @t32 @t469))) % 1.31/1.52 (assume @p296 (forall (@list @t116 @t11 @t303 @t8) (=> @t293 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 (tptp.hAPP (tptp.hAPP @t41 (tptp.c_Polynomial_Omonom @t8 @t270 @t303)) @t11)) @t116) (tptp.hAPP (tptp.hAPP @t21 @t472) @t235))))) % 1.31/1.52 (assume @p297 (forall @t302 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t8) (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t116 @t13) (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t114 @t13) (=> @t301 (=> @t300 (=> @t299 (tptp.c_Orderings_Oord__class_Oless @t8 @t298 @t13))))))))) % 1.31/1.52 (assume @p298 (forall @t442 (=> @t55 (and (=> @t464 (= @t473 @t270)) (=> @t474 (= @t473 @t25)))))) % 1.31/1.52 (assume @p299 (forall (@list @t89 @t365 @t297 @t367) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t479 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t477 @t89)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t319 @t475) @t297) @t89)))) % 1.31/1.52 (assume @p300 (forall @t481 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 @t183) @t480))) % 1.31/1.52 (assume @p301 (forall @t304 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t303 @t262)))) % 1.31/1.52 (assume @p302 (forall @t233 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t116 @t116))) % 1.31/1.52 (assume @p303 (forall @t483 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t308 @t318) @t482))) % 1.31/1.52 (assume @p304 (forall @t381 (=> @t485 (= @t484 @t377)))) % 1.31/1.52 (assume @p305 (forall @t311 (= (= @t463 @t318) @t487))) % 1.31/1.52 (assume @p306 (forall @t304 (= (tptp.hAPP @t355 @t318) @t303))) % 1.31/1.52 (assume @p307 (forall @t311 (= (= @t318 @t463) @t487))) % 1.31/1.52 (assume @p308 (forall @t304 (= (tptp.hAPP (tptp.hAPP @t319 @t318) @t303) @t303))) % 1.31/1.52 (assume @p309 (forall @t118 (=> @t55 (= (tptp.hAPP @t471 @t318) @t116)))) % 1.31/1.52 (assume @p310 (forall @t305 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t162 @t488))) % 1.31/1.52 (assume @p311 (forall @t305 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t162 (tptp.hAPP @t320 @t488)))) % 1.31/1.52 (assume @p312 (forall @t322 (= @t321 @t489))) % 1.31/1.52 (assume @p313 (forall @t358 (= (tptp.hAPP (tptp.hAPP @t319 @t321) @t89) (tptp.hAPP @t320 @t356)))) % 1.31/1.52 (assume @p314 (forall @t373 (=> @t370 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t491 @t490)))) % 1.31/1.52 (assume @p315 (forall @t373 (=> @t370 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t493 @t492)))) % 1.31/1.52 (assume @p316 (forall @t371 (=> @t370 (=> @t369 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t491 (tptp.hAPP @t476 @t364)))))) % 1.31/1.52 (assume @p317 (forall @t322 (=> (or @t495 @t494) @t360))) % 1.31/1.52 (assume @p318 (forall @t500 (=> @t499 (=> @t498 @t497)))) % 1.31/1.52 (assume @p319 (forall @t186 (=> @t465 (=> @t333 @t502)))) % 1.31/1.52 (assume @p320 (forall @t322 (=> @t360 (=> @t503 @t494)))) % 1.31/1.52 (assume @p321 (forall @t373 (=> @t370 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t365 @t89) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t367 @t89))))) % 1.31/1.52 (assume @p322 (forall @t500 (=> @t499 (=> @t505 (=> @t504 @t496))))) % 1.31/1.52 (assume @p323 (forall @t186 (=> @t465 (=> @t507 (=> @t506 @t501))))) % 1.31/1.52 (assume @p324 (forall @t322 (=> @t360 (=> @t508 @t495)))) % 1.31/1.52 (assume @p325 (forall @t511 (=> @t499 (=> @t434 (=> @t510 @t509))))) % 1.31/1.52 (assume @p326 (forall @t101 (=> @t499 (=> @t349 (=> @t510 @t512))))) % 1.31/1.52 (assume @p327 (forall @t334 (=> @t499 (=> @t333 (or @t507 @t513))))) % 1.31/1.52 (assume @p328 (forall @t224 (=> @t518 (=> @t517 @t516)))) % 1.31/1.52 (assume @p329 (forall @t521 (=> @t520 @t519))) % 1.31/1.52 (assume @p330 (forall @t334 (=> @t465 (=> @t507 @t333)))) % 1.31/1.52 (assume @p331 (forall @t322 (=> @t495 @t360))) % 1.31/1.52 (assume @p332 (forall @t322 (=> @t494 @t360))) % 1.31/1.52 (assume @p333 (forall @t523 (=> @t518 (=> @t498 @t522)))) % 1.31/1.52 (assume @p334 (forall @t101 (=> @t499 (=> @t510 (=> @t434 @t509))))) % 1.31/1.52 (assume @p335 (forall @t101 (=> @t499 (=> @t510 (=> @t349 @t512))))) % 1.31/1.52 (assume @p336 (forall @t224 (=> @t518 (=> @t515 @t524)))) % 1.31/1.52 (assume @p337 (forall @t523 (=> @t518 (=> (not @t498) @t507)))) % 1.31/1.52 (assume @p338 (forall @t334 (=> @t518 (=> @t522 @t498)))) % 1.31/1.52 (assume @p339 (forall @t224 (=> @t499 (= @t517 (or @t514 @t328))))) % 1.31/1.52 (assume @p340 (forall @t311 (= @t377 @t526))) % 1.31/1.52 (assume @p341 (forall @t224 (=> @t465 (= @t514 (and @t517 (not @t331)))))) % 1.31/1.52 (assume @p342 (forall @t224 (=> @t499 (= @t514 (and @t517 @t527))))) % 1.31/1.52 (assume @p343 (forall @t311 (= @t525 (and @t377 @t528)))) % 1.31/1.52 (assume @p344 (forall @t334 (=> @t518 (or @t333 @t505)))) % 1.31/1.52 (assume @p345 (forall @t322 (or @t360 @t503))) % 1.31/1.52 (assume @p346 (forall @t224 (=> @t518 (= (not @t517) @t529)))) % 1.31/1.52 (assume @p347 (forall @t224 (=> @t518 (= @t515 @t331)))) % 1.31/1.52 (assume @p348 (forall @t304 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t303 @t303))) % 1.31/1.52 (assume @p349 (forall @t521 (=> @t532 (not (and @t531 (not @t530)))))) % 1.31/1.52 (assume @p350 (forall @t387 (=> @t532 @t536))) % 1.31/1.52 (assume @p351 (forall @t540 (=> @t539 (not (and @t538 (not @t537)))))) % 1.31/1.52 (assume @p352 (forall @t387 (=> @t532 (=> @t535 @t534)))) % 1.31/1.52 (assume @p353 (forall @t543 (=> @t539 (=> @t249 @t542)))) % 1.31/1.52 (assume @p354 (forall @t521 (=> @t532 @t544))) % 1.31/1.52 (assume @p355 (forall @t521 (=> @t532 @t545))) % 1.31/1.52 (assume @p356 (forall @t521 (=> @t532 @t530))) % 1.31/1.52 (assume @p357 (forall @t387 (=> @t530 @t536))) % 1.31/1.52 (assume @p358 (forall @t543 (=> @t193 (=> (and @t546 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t15 @t20))) @t542)))) % 1.31/1.52 (assume @p359 (forall @t387 (=> @t530 (=> @t535 @t533)))) % 1.31/1.52 (assume @p360 (forall @t521 (=> @t530 (=> @t531 @t513)))) % 1.31/1.52 (assume @p361 (forall @t322 (=> @t548 (=> @t547 @t494)))) % 1.31/1.52 (assume @p362 (forall @t543 (=> @t537 (=> @t249 @t541)))) % 1.31/1.52 (assume @p363 (forall @t543 (=> @t193 (=> @t546 @t541)))) % 1.31/1.52 (assume @p364 (forall @t540 (=> @t537 (=> @t510 @t539)))) % 1.31/1.52 (assume @p365 (forall @t521 (=> @t530 (or @t532 @t513)))) % 1.31/1.52 (assume @p366 (forall (@list @t156 @t155) (=> @t550 (= @t549 @t328)))) % 1.31/1.52 (assume @p367 (forall @t521 (=> @t513 @t530))) % 1.31/1.52 (assume @p368 (forall @t540 (=> @t510 (=> @t537 @t539)))) % 1.31/1.52 (assume @p369 (forall @t552 (= @t551 (and @t549 @t527)))) % 1.31/1.52 (assume @p370 (forall @t552 (= @t549 (or @t551 @t328)))) % 1.31/1.52 (assume @p371 (forall @t552 (= @t328 (and @t549 @t550)))) % 1.31/1.52 (assume @p372 (forall @t481 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t116 @t183) @t553))) % 1.31/1.52 (assume @p373 (forall @t387 (=> @t520 @t553))) % 1.31/1.52 (assume @p374 (forall @t387 (= (tptp.hAPP (tptp.hAPP @t554 @t556) @t183) (tptp.hAPP @t555 (tptp.hAPP (tptp.hAPP @t319 @t114) @t183))))) % 1.31/1.52 (assume @p375 (forall (@list @t116 @t303 @t11 @t8) (=> @t55 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 @t557) @t116) (tptp.hAPP (tptp.hAPP @t470 @t235) @t303))))) % 1.31/1.52 (assume @p376 (forall @t334 (=> @t452 @t558))) % 1.31/1.52 (assume @p377 (forall @t118 (=> @t465 (not (tptp.c_Orderings_Oord__class_Oless @t8 @t116 @t116))))) % 1.31/1.52 (assume @p378 (forall @t224 (=> @t518 (= @t527 (or @t514 @t529))))) % 1.31/1.52 (assume @p379 (forall @t224 (=> @t518 (= @t515 (or @t529 @t328))))) % 1.31/1.52 (assume @p380 (forall @t334 (=> @t518 (or @t507 @t513 @t505)))) % 1.31/1.52 (assume @p381 (forall @t559 (=> @t518 (=> (not @t529) @t516)))) % 1.31/1.52 (assume @p382 (forall @t334 (=> @t518 @t558))) % 1.31/1.52 (assume @p383 (forall @t334 (=> @t499 (=> @t507 @t545)))) % 1.31/1.52 (assume @p384 (forall @t334 (=> @t465 (=> @t507 (not @t505))))) % 1.31/1.52 (assume @p385 (forall @t334 (=> @t499 (=> @t507 @t544)))) % 1.31/1.52 (assume @p386 (forall @t101 (=> @t465 (=> @t512 (not @t509))))) % 1.31/1.52 (assume @p387 (forall @t511 (=> @t499 (=> @t509 (not @t512))))) % 1.31/1.52 (assume @p388 (forall @t87 (=> @t562 (=> @t193 (=> @t561 @t560))))) % 1.31/1.52 (assume @p389 (forall @t87 (=> @t499 (=> @t193 (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t15 @t20) @t563))))) % 1.31/1.52 (assume @p390 (forall @t87 (=> @t562 (=> @t512 (=> @t249 @t560))))) % 1.31/1.52 (assume @p391 (forall @t251 (=> @t499 (=> @t509 (=> @t249 @t563))))) % 1.31/1.52 (assume @p392 (forall @t186 (=> @t465 (=> @t507 @t502)))) % 1.31/1.52 (assume @p393 (forall @t500 (=> @t499 (=> @t505 @t497)))) % 1.31/1.52 (assume @p394 (forall @t334 (=> @t518 (=> @t522 (=> @t545 @t505))))) % 1.31/1.52 (assume @p395 (forall @t224 (=> @t35 (= (= (tptp.c_Polynomial_Ocoeff @t8 @t156) (tptp.c_Polynomial_Ocoeff @t8 @t155)) @t328)))) % 1.31/1.52 (assume @p396 (forall @t239 (=> @t35 (= @t69 (forall @t566 (= (tptp.hAPP @t565 @t564) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t64) @t564))))))) % 1.31/1.52 (assume @p397 (forall @t569 (=> @t55 (= (tptp.hAPP (tptp.hAPP @t470 @t568) @t40) (tptp.hAPP @t471 (tptp.hAPP @t567 @t40)))))) % 1.31/1.52 (assume @p398 (forall @t381 (=> @t485 (= @t570 @t525)))) % 1.31/1.52 (assume @p399 (forall @t381 (=> @t485 (= @t572 @t571)))) % 1.31/1.52 (assume @p400 (forall @t381 (=> @t485 (= @t462 @t382)))) % 1.31/1.52 (assume @p401 (forall (@list @t40 @t114 @t116 @t8) (=> @t55 (= (tptp.hAPP (tptp.hAPP @t470 @t185) @t40) (tptp.hAPP @t575 (tptp.hAPP @t573 @t40)))))) % 1.31/1.52 (assume @p402 (forall @t84 (=> @t402 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t255 @t408) @t576)))) % 1.31/1.52 (assume @p403 (forall @t79 (=> @t402 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t254 @t407) @t576)))) % 1.31/1.52 (assume @p404 (forall @t87 (=> @t578 (=> @t512 @t577)))) % 1.31/1.52 (assume @p405 (forall @t87 (=> @t578 (=> @t512 @t579)))) % 1.31/1.52 (assume @p406 (forall @t96 (=> @t578 (=> @t512 @t582)))) % 1.31/1.52 (assume @p407 (forall @t99 (=> @t402 (=> @t577 @t512)))) % 1.31/1.52 (assume @p408 (forall @t403 (=> @t402 (=> @t579 @t512)))) % 1.31/1.52 (assume @p409 (forall @t387 (= (tptp.hAPP @t555 @t386) (tptp.hAPP (tptp.hAPP @t583 @t556) (tptp.hAPP @t555 @t183))))) % 1.31/1.52 (assume @p410 (forall @t586 (=> @t337 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t343) @t303) (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t585))))) % 1.31/1.52 (assume @p411 (forall @t149 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t345 @t313) @t576)))) % 1.31/1.52 (assume @p412 (forall @t108 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t313 @t70) (tptp.c_Orderings_Oord__class_Oless @t8 @t345 @t29))))) % 1.31/1.52 (assume @p413 (forall @t108 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t29 @t345) (tptp.c_Orderings_Oord__class_Oless @t8 @t70 @t313))))) % 1.31/1.52 (assume @p414 (forall @t304 (=> @t474 @t587))) % 1.31/1.52 (assume @p415 (forall @t354 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t352 @t351) (=> @t588 @t548)))) % 1.31/1.52 (assume @p416 (forall @t373 (=> @t589 (=> @t588 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t493 @t492))))) % 1.31/1.52 (assume @p417 (forall @t373 (=> @t589 (=> @t588 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t491 @t490))))) % 1.31/1.52 (assume @p418 (forall (@list @t303 @t89) (=> @t590 (=> @t587 @t359)))) % 1.31/1.52 (assume @p419 (forall @t322 (=> @t495 @t474))) % 1.31/1.52 (assume @p420 (forall @t322 (=> @t591 (=> @t495 (not @t547))))) % 1.31/1.52 (assume @p421 (forall @t311 (=> @t592 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t455 @t308) @t308) @t486)))) % 1.31/1.52 (assume @p422 (forall @t311 (=> @t592 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t463 @t308) @t486)))) % 1.31/1.52 (assume @p423 (forall @t384 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t458 @t456) @t593))) % 1.31/1.52 (assume @p424 (forall @t381 (= @t484 @t593))) % 1.31/1.52 (assume @p425 (forall @t384 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t458 @t456) @t594))) % 1.31/1.52 (assume @p426 (forall @t381 (= @t570 @t594))) % 1.31/1.52 (assume @p427 (forall @t311 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 @t463) (and @t592 @t595)))) % 1.31/1.52 (assume @p428 (forall @t316 (= @t596 @t595))) % 1.31/1.52 (assume @p429 (forall (@list @t365 @t367) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t475 @t367)))) % 1.31/1.52 (assume @p430 (forall (@list @t367 @t365) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t597 @t367)))) % 1.31/1.52 (assume @p431 (forall @t381 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t380 @t379) @t525))) % 1.31/1.52 (assume @p432 (forall @t375 (=> @t589 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t367 @t376)))) % 1.31/1.52 (assume @p433 (forall @t375 (=> @t589 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t367 @t374)))) % 1.31/1.52 (assume @p434 (forall @t373 (=> @t589 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t368 @t372)))) % 1.31/1.52 (assume @p435 (forall @t371 (=> @t589 (=> @t598 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t368 @t366))))) % 1.31/1.52 (assume @p436 (forall (@list @t303 @t162 @t364 @t89) (=> @t598 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t162 @t364) @t599) @t495)))) % 1.31/1.52 (assume @p437 (forall @t373 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t475 @t89) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t367 @t89)))) % 1.31/1.52 (assume @p438 (forall @t338 (=> @t55 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t600) @t303) @t270)))) % 1.31/1.52 (assume @p439 (forall @t118 (=> @t55 (= (tptp.hAPP @t471 @t262) @t270)))) % 1.31/1.52 (assume @p440 (forall @t569 (=> @t55 (= (tptp.hAPP (tptp.hAPP @t21 @t568) @t574) (tptp.hAPP @t471 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t11 @t40)))))) % 1.31/1.52 (assume @p441 (forall @t251 (=> @t223 (=> @t509 (=> @t602 @t601))))) % 1.31/1.52 (assume @p442 (forall @t251 (=> @t223 (=> @t509 (=> @t602 @t603))))) % 1.31/1.52 (assume @p443 (forall @t87 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t8) @t605))) % 1.31/1.52 (assume @p444 (forall @t87 (=> @t606 @t605))) % 1.31/1.52 (assume @p445 (forall @t87 (=> @t606 (=> @t512 (=> @t604 @t603))))) % 1.31/1.52 (assume @p446 (forall @t101 (=> @t223 (=> @t609 (=> @t608 @t607))))) % 1.31/1.52 (assume @p447 (forall @t101 (=> @t606 (=> @t609 (=> @t611 @t610))))) % 1.31/1.52 (assume @p448 (forall @t79 (=> @t223 (=> @t614 (= @t613 @t612))))) % 1.31/1.52 (assume @p449 (forall @t511 (=> @t606 (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t100) @t616)))) % 1.31/1.52 (assume @p450 (forall @t101 (=> @t606 (=> @t607 @t616)))) % 1.31/1.52 (assume @p451 (forall @t101 (=> @t606 (=> @t615 (=> @t608 (tptp.c_Orderings_Oord__class_Oless @t8 @t100 @t25)))))) % 1.31/1.52 (assume @p452 (forall @t101 (=> @t606 (=> @t615 (=> @t608 @t610))))) % 1.31/1.52 (assume @p453 (forall @t101 (=> @t606 (=> @t615 (=> @t611 @t607))))) % 1.31/1.52 (assume @p454 (forall @t79 (=> @t223 (=> @t617 (= @t613 @t576))))) % 1.31/1.52 (assume @p455 (forall @t79 (=> @t223 (= @t613 @t618)))) % 1.31/1.52 (assume @p456 (forall @t84 (=> @t223 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t83 @t81) @t618)))) % 1.31/1.52 (assume @p457 (forall @t52 (=> @t412 (not (tptp.c_Orderings_Oord__class_Oless @t8 @t267 @t25))))) % 1.31/1.52 (assume @p458 (forall @t87 (=> @t441 (=> @t615 @t620)))) % 1.31/1.52 (assume @p459 (forall @t227 (=> @t226 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t225) @t621)))) % 1.31/1.52 (assume @p460 (forall @t227 (=> @t452 @t623))) % 1.31/1.52 (assume @p461 (forall @t227 (=> @t226 @t623))) % 1.31/1.52 (assume @p462 (forall @t101 (=> @t436 (=> @t615 @t625)))) % 1.31/1.52 (assume @p463 (forall @t101 (=> @t436 (=> @t609 @t627)))) % 1.31/1.52 (assume @p464 (forall @t96 (=> @t578 (=> @t512 (=> @t405 @t580))))) % 1.31/1.52 (assume @p465 (forall @t96 (=> @t578 (=> @t349 @t582)))) % 1.31/1.52 (assume @p466 (forall @t37 (=> @t441 (not (tptp.c_Orderings_Oord__class_Oless @t8 @t270 @t25))))) % 1.31/1.52 (assume @p467 (forall @t37 (=> @t441 (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t270)))) % 1.31/1.52 (assume @p468 (forall @t227 (=> @t452 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t29 @t313) @t622)))) % 1.31/1.52 (assume @p469 (forall @t227 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t313) @t622)))) % 1.31/1.52 (assume @p470 (forall @t227 (=> @t314 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t313 @t25) @t621)))) % 1.31/1.52 (assume @p471 (forall @t227 (=> @t226 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t313 @t29) @t621)))) % 1.31/1.52 (assume @p472 (forall (@list @t303 @t162 @t8) (=> @t441 (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t270 @t162) (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t270 @t303) (tptp.c_Orderings_Oord__class_Oless @t8 @t270 (tptp.hAPP @t628 @t303))))))) % 1.31/1.52 (assume @p473 (forall @t52 (=> @t441 (tptp.c_Orderings_Oord__class_Oless @t8 @t13 @t290)))) % 1.31/1.52 (assume @p474 (forall @t442 (=> @t35 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t10) @t303) @t25)))) % 1.31/1.52 (assume @p475 (forall @t311 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 @t310) (or @t592 @t595)))) % 1.31/1.52 (assume @p476 (forall @t342 (=> @t35 (= (tptp.hAPP @t629 @t262) @t13)))) % 1.31/1.52 (assume @p477 (forall @t630 (=> @t17 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t19) @t303) (tptp.hAPP @t22 @t585))))) % 1.31/1.52 (assume @p478 (forall @t632 (=> @t35 (and (=> @t494 (= @t631 @t13)) (=> @t508 (= @t631 @t25)))))) % 1.31/1.52 (assume @p479 (forall @t635 (=> @t145 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t143) @t303) (tptp.c_Groups_Oplus__class_Oplus @t8 @t585 @t634))))) % 1.31/1.52 (assume @p480 (forall @t403 (=> @t606 (=> @t431 @t636)))) % 1.31/1.52 (assume @p481 (forall @t99 (=> @t606 (=> @t425 @t636)))) % 1.31/1.52 (assume @p482 (forall @t403 (=> @t606 @t638))) % 1.31/1.52 (assume @p483 (forall @t403 (=> @t639 @t638))) % 1.31/1.52 (assume @p484 (forall @t99 (=> @t606 @t640))) % 1.31/1.52 (assume @p485 (forall @t99 (=> @t639 @t640))) % 1.31/1.52 (assume @p486 (forall @t96 (=> @t606 (=> @t349 (=> @t581 (=> @t615 @t642)))))) % 1.31/1.52 (assume @p487 (forall @t96 (=> @t606 (=> @t512 (=> @t405 (=> @t419 (=> @t604 @t641))))))) % 1.31/1.52 (assume @p488 (forall @t96 (=> @t606 (=> @t512 (=> @t581 (=> @t419 @t642)))))) % 1.31/1.52 (assume @p489 (forall @t96 (=> @t606 (=> @t512 (=> @t581 (=> @t611 @t642)))))) % 1.31/1.52 (assume @p490 (forall @t79 (=> @t223 (=> @t614 (= @t643 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t70 @t29)))))) % 1.31/1.52 (assume @p491 (forall @t79 (=> @t223 (=> @t617 (= @t643 @t347))))) % 1.31/1.52 (assume @p492 (forall @t101 (=> @t436 (=> @t615 (=> @t418 @t624))))) % 1.31/1.52 (assume @p493 (forall @t101 (=> @t436 (=> @t419 @t625)))) % 1.31/1.52 (assume @p494 (forall @t87 (=> @t436 (=> @t615 (=> @t439 @t619))))) % 1.31/1.52 (assume @p495 (forall @t87 (=> @t436 (=> @t419 @t620)))) % 1.31/1.52 (assume @p496 (forall @t101 (=> @t436 (=> @t609 (=> @t422 @t626))))) % 1.31/1.52 (assume @p497 (forall @t101 (=> @t436 (=> @t423 @t627)))) % 1.31/1.52 (assume @p498 (forall @t224 (=> @t223 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t222) (or (not @t219) @t644))))) % 1.31/1.52 (assume @p499 (forall @t334 (=> @t412 (not (tptp.c_Orderings_Oord__class_Oless @t8 @t448 @t25))))) % 1.31/1.52 (assume @p500 (forall @t37 (=> @t441 (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t292)))) % 1.31/1.52 (assume @p501 (forall @t648 (=> @t647 (= @t646 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t120 @t5 @t4)))))) % 1.31/1.52 (assume @p502 (forall @t334 (=> @t518 (or @t333 @t498)))) % 1.31/1.52 (assume @p503 (forall @t224 (=> @t499 (= @t328 (and @t517 @t331))))) % 1.31/1.52 (assume @p504 (forall @t334 (=> @t465 (=> @t513 @t333)))) % 1.31/1.52 (assume @p505 (forall (@list @t156 @t1 @t2 @t8 @t120) (=> @t647 (=> @t646 (tptp.c_Orderings_Oord__class_Oless__eq @t120 (tptp.hAPP @t2 @t156) (tptp.hAPP @t1 @t156)))))) % 1.31/1.52 (assume @p506 (forall @t559 (=> @t499 (=> @t331 @t524)))) % 1.31/1.52 (assume @p507 (forall @t87 (=> @t562 (=> @t193 (=> @t439 @t649))))) % 1.31/1.52 (assume @p508 (forall @t87 (=> @t499 (=> @t193 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t15 @t20) @t650))))) % 1.31/1.52 (assume @p509 (forall @t87 (=> @t562 (=> @t349 (=> @t249 @t649))))) % 1.31/1.52 (assume @p510 (forall @t251 (=> @t499 (=> @t434 (=> @t249 @t650))))) % 1.31/1.52 (assume @p511 (forall @t334 (=> @t499 (=> @t333 (=> @t498 @t513))))) % 1.31/1.52 (assume @p512 (forall @t186 (=> @t465 (=> @t333 (=> @t506 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t116 @t183)))))) % 1.31/1.52 (assume @p513 (forall @t523 (=> @t499 (=> @t498 (=> @t333 @t513))))) % 1.31/1.52 (assume @p514 (forall @t500 (=> @t499 (=> @t498 (=> @t504 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t183 @t116)))))) % 1.31/1.52 (assume @p515 (forall @t334 (=> @t518 (=> (not @t333) @t498)))) % 1.31/1.52 (assume @p516 (forall (@list @t116 @t303 @t13 @t8) (=> @t55 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 @t336) @t116) (tptp.hAPP @t22 @t472))))) % 1.31/1.52 (assume @p517 (forall @t381 (= @t462 (or @t453 @t382)))) % 1.31/1.52 (assume @p518 (forall @t381 (= @t572 (or @t453 @t571)))) % 1.31/1.52 (assume @p519 (forall @t387 (=> @t519 @t480))) % 1.31/1.52 (assume @p520 (forall @t655 (=> @t441 (=> @t654 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t653 @t652) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t156 @t155)))))) % 1.31/1.52 (assume @p521 (forall @t660 (=> @t441 (=> @t659 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t658 @t657) @t360))))) % 1.31/1.52 (assume @p522 (forall @t664 (=> @t441 (=> @t663 (=> @t419 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t13 @t270) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t662 @t657))))))) % 1.31/1.52 (assume @p523 (forall @t338 (=> @t441 (=> @t615 (=> @t666 (tptp.c_Orderings_Oord__class_Oless @t8 @t665 @t657)))))) % 1.31/1.52 (assume @p524 (forall @t445 (=> @t441 (=> @t512 (=> @t419 (=> @t587 @t669)))))) % 1.31/1.52 (assume @p525 (forall @t670 (=> @t55 (=> (or @t587 (= @t116 @t270)) (tptp.c_Rings_Odvd__class_Odvd @t8 @t116 @t472))))) % 1.31/1.52 (assume @p526 (forall @t672 (= (tptp.hAPP (tptp.hAPP @t583 @t671) @t183) @t183))) % 1.31/1.52 (assume @p527 (forall @t672 (= (tptp.hAPP @t673 @t671) @t183))) % 1.31/1.52 (assume @p528 (forall @t311 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t674 @t308) (= (= (tptp.hAPP (tptp.hAPP @t583 @t308) @t306) @t671) (and (= @t308 @t671) (= @t306 @t671)))))) % 1.31/1.52 (assume @p529 (forall (@list @t213 @t306 @t308) (=> (=> @t525 @t676) (=> (=> @t382 @t676) (=> (=> @t677 @t676) @t676))))) % 1.31/1.52 (assume @p530 (forall (@list @t678 @t679) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t679 @t678) (not (= @t679 @t678))))) % 1.31/1.52 (assume @p531 (forall @t392 (=> @t680 @t508))) % 1.31/1.52 (assume @p532 (forall @t304 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t303 @t303)))) % 1.31/1.52 (assume @p533 (forall @t521 (=> @t545 (=> (not @t520) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t114 @t116))))) % 1.31/1.52 (assume @p534 (forall @t648 (=> @t647 (= (tptp.c_Orderings_Oord__class_Oless @t645 @t2 @t1) (and @t646 (not (tptp.c_Orderings_Oord__class_Oless__eq @t645 @t1 @t2))))))) % 1.31/1.52 (assume @p535 (forall @t311 (= @t528 (or @t525 @t677)))) % 1.31/1.52 (assume @p536 (forall @t684 (= (tptp.hAPP (tptp.hAPP @t583 @t683) @t681) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t682)))) % 1.31/1.52 (assume @p537 (forall @t691 (= (tptp.hAPP @t686 @t690) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t689 @t687)))) % 1.31/1.52 (assume @p538 (forall @t696 (= (tptp.hAPP (tptp.hAPP @t583 @t690) @t681) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t695 @t693)))) % 1.31/1.52 (assume @p539 (forall (@list @t73 @t697 @t156 @t175 @t29) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t29 @t175) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t29 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t156 @t697)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t29 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t156 (tptp.hAPP (tptp.hAPP @t583 @t73) @t175)) @t697)))))) % 1.31/1.52 (assume @p540 (forall (@list @t308 @t306 @t378) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t378 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t306 @t699)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t378 @t306)))) % 1.31/1.52 (assume @p541 (forall @t684 (= @t682 (tptp.hAPP @t686 @t183)))) % 1.31/1.52 (assume @p542 (forall @t701 (= (tptp.hAPP (tptp.hAPP @t583 (tptp.hAPP @t694 @t685)) @t700) (tptp.hAPP @t694 (tptp.hAPP @t692 @t700))))) % 1.31/1.52 (assume @p543 (forall (@list @t697 @t308 @t378) (=> (not (= @t378 @t674)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t308 @t697) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t699 (tptp.hAPP @t698 @t697)))))) % 1.31/1.52 (assume @p544 (forall @t373 (=> @t703 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t674 @t89) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t702 @t367) (tptp.hAPP @t702 @t365)))))) % 1.31/1.52 (assume @p545 (forall @t354 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t702 @t162) (tptp.hAPP @t702 @t303)) (=> (not (= @t89 @t674)) @t704)))) % 1.31/1.52 (assume @p546 (forall @t709 (= @t708 (or @t705 @t307)))) % 1.31/1.52 (assume @p547 (forall @t713 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 @t367) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t712 @t711) @t495)))) % 1.31/1.52 (assume @p548 (forall @t338 (=> @t411 (=> @t62 (not (= @t657 @t25)))))) % 1.31/1.52 (assume @p549 (forall @t445 (=> @t286 (= (tptp.hAPP (tptp.hAPP @t470 @t23) @t303) (tptp.hAPP @t714 @t668))))) % 1.31/1.52 (assume @p550 (forall @t338 (=> @t287 (= @t715 @t665)))) % 1.31/1.52 (assume @p551 (forall @t442 (=> @t287 (= (tptp.hAPP (tptp.hAPP @t470 @t270) @t303) @t270)))) % 1.31/1.52 (assume @p552 (forall (@list @t303 @t114 @t116 @t8) (=> @t55 (=> @t716 (tptp.c_Rings_Odvd__class_Odvd @t8 @t472 (tptp.hAPP @t573 @t303)))))) % 1.31/1.52 (assume @p553 (forall @t660 (=> @t287 (= (tptp.hAPP @t656 @t321) (tptp.hAPP (tptp.hAPP @t470 @t658) @t303))))) % 1.31/1.52 (assume @p554 (forall @t52 (=> @t287 (= (tptp.hAPP @t656 @t318) @t13)))) % 1.31/1.52 (assume @p555 (forall @t338 (=> @t441 (=> @t419 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t657))))) % 1.31/1.52 (assume @p556 (forall @t445 (=> @t441 (=> @t349 (=> @t419 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t657 @t668)))))) % 1.31/1.52 (assume @p557 (forall @t338 (=> @t441 (=> @t615 (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t657))))) % 1.31/1.52 (assume @p558 (forall @t338 (=> @t441 (=> @t717 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t270 @t657))))) % 1.31/1.52 (assume @p559 (forall @t443 (=> (and @t720 @t104 @t112 @t283) (= (= @t719 @t25) (and @t30 @t596))))) % 1.31/1.52 (assume @p560 (forall @t664 (=> @t441 (=> @t721 (=> @t659 (tptp.c_Orderings_Oord__class_Oless @t8 @t657 @t662)))))) % 1.31/1.52 (assume @p561 (forall @t660 (=> @t441 (=> @t659 (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t658 @t657) @t495))))) % 1.31/1.52 (assume @p562 (forall @t655 (=> @t441 (=> @t654 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t653 @t652) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t156 @t155)))))) % 1.31/1.52 (assume @p563 (forall (@list @t306 @t308 @t29 @t8) (=> @t441 (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t270 @t29) (= (= (tptp.hAPP @t718 @t308) @t719) @t382))))) % 1.31/1.52 (assume @p564 (forall @t52 (=> @t720 (= (tptp.hAPP @t656 @t262) @t270)))) % 1.31/1.52 (assume @p565 (forall @t660 (=> @t287 (= (tptp.hAPP @t656 @t353) (tptp.hAPP (tptp.hAPP @t21 @t658) @t657))))) % 1.31/1.52 (assume @p566 (forall @t632 (=> @t55 (=> @t360 (tptp.c_Rings_Odvd__class_Odvd @t8 @t658 @t657))))) % 1.31/1.52 (assume @p567 (forall (@list @t162 @t303 @t114 @t116 @t8) (=> @t55 (=> @t716 (=> @t503 (tptp.c_Rings_Odvd__class_Odvd @t8 @t472 (tptp.hAPP @t573 @t162))))))) % 1.31/1.52 (assume @p568 (forall (@list @t162 @t20 @t303 @t13 @t8) (=> @t55 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t657 @t20) (=> @t360 (tptp.c_Rings_Odvd__class_Odvd @t8 @t658 @t20)))))) % 1.31/1.52 (assume @p569 (forall @t713 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t712 @t711) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t367) @t360)))) % 1.31/1.52 (assume @p570 (forall @t446 (=> @t441 (=> @t669 (=> @t418 @t512))))) % 1.31/1.52 (assume @p571 (forall @t664 (=> @t441 (=> @t721 (=> @t615 (=> @t666 (tptp.c_Orderings_Oord__class_Oless @t8 @t662 @t657))))))) % 1.31/1.52 (assume @p572 (forall @t446 (=> @t441 (=> (= @t657 @t668) (=> @t419 (=> @t418 (=> @t587 @t193))))))) % 1.31/1.52 (assume @p573 (forall @t338 (=> @t441 (=> @t659 (tptp.c_Orderings_Oord__class_Oless @t8 @t657 @t665))))) % 1.31/1.52 (assume @p574 (forall @t338 (=> @t441 (=> @t659 (tptp.c_Orderings_Oord__class_Oless @t8 @t270 @t665))))) % 1.31/1.52 (assume @p575 (forall @t442 (=> @t724 (and (=> @t464 (= @t723 @t270)) (=> @t474 (= @t723 @t25)))))) % 1.31/1.52 (assume @p576 (forall @t338 (=> @t441 (=> @t659 (=> @t587 (tptp.c_Orderings_Oord__class_Oless @t8 @t270 @t657)))))) % 1.31/1.52 (assume @p577 (forall @t338 (=> @t725 (= (tptp.hAPP (tptp.hAPP @t470 @t335) @t303) (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP (tptp.hAPP @t470 @t410) @t303)) @t657))))) % 1.31/1.52 (assume @p578 (forall @t664 (=> @t441 (=> @t663 (=> @t717 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t657 @t662)))))) % 1.31/1.52 (assume @p579 (forall @t392 (=> @t587 (=> @t548 @t591)))) % 1.31/1.52 (assume @p580 (forall @t728 (=> @t32 (=> @t727 (and @t469 @t726))))) % 1.31/1.52 (assume @p581 (forall @t728 (=> @t32 (=> @t727 @t726)))) % 1.31/1.52 (assume @p582 (forall @t37 (=> @t720 (= @t470 (tptp.c_Power_Opower_Opower @t8 @t270 @t21))))) % 1.31/1.52 (assume @p583 (forall @t322 (=> @t495 @t731))) % 1.31/1.52 (assume @p584 (forall @t304 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t303 @t729))) % 1.31/1.52 (assume @p585 (forall @t304 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 @t729))) % 1.31/1.52 (assume @p586 (forall (@list @t89) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t732 @t89))) % 1.31/1.52 (assume @p587 (forall @t733 (= (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 @t671 @t119) @t119) @t674) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t119 @t674)))) % 1.31/1.52 (assume @p588 (forall @t672 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t183) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t674 @t734)))) % 1.31/1.52 (assume @p589 (forall @t736 (= @t735 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t157 @t119)))) % 1.31/1.52 (assume @p590 (forall @t736 (= @t735 (or @t737 (= @t157 @t119))))) % 1.31/1.52 (assume @p591 (forall @t736 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t157 @t671) @t119) @t737))) % 1.31/1.52 (assume @p592 (forall (@list @t183 @t681) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t681 @t183) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t681 @t671) @t183)))) % 1.31/1.52 (assume @p593 (forall (@list @t303 @t183) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t183 @t303) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t674 @t303) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t183 @t303))))) % 1.31/1.52 (assume @p594 (forall @t322 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t162) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t303) (=> @t704 (=> @t738 @t494)))))) % 1.31/1.52 (assume @p595 (forall @t733 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t671 @t119) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t674 @t119)))) % 1.31/1.52 (assume @p596 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t674 @t671)) % 1.31/1.52 (assume @p597 (forall @t322 (=> @t731 @t495))) % 1.31/1.52 (assume @p598 (forall @t322 (=> @t739 @t495))) % 1.31/1.52 (assume @p599 (forall @t322 (=> @t741 (=> @t740 @t494)))) % 1.31/1.52 (assume @p600 (forall @t373 (=> @t589 (=> @t743 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t742 @t89))))) % 1.31/1.52 (assume @p601 (forall @t322 (=> @t495 (=> (not (= @t730 @t303)) @t739)))) % 1.31/1.52 (assume @p602 (forall @t322 (=> @t495 @t741))) % 1.31/1.52 (assume @p603 (forall @t392 (=> (not @t680) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t303 @t730) @t494)))) % 1.31/1.52 (assume @p604 (forall @t747 (=> (not @t677) @t746))) % 1.31/1.52 (assume @p605 (forall @t311 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t744 @t748) @t525))) % 1.31/1.52 (assume @p606 (forall @t311 (= @t749 @t526))) % 1.31/1.52 (assume @p607 (forall @t311 (= (not @t525) @t745))) % 1.31/1.52 (assume @p608 (forall (@list @t157 @t119) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t119 @t157) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t119 @t157) (not (= @t119 @t157)))))) % 1.31/1.52 (assume @p609 (forall (@list @t183 @t751 @t681 @t752) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t752 @t681) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t751 @t183) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t752 @t751) @t750))))) % 1.31/1.52 (assume @p610 (forall @t373 (=> @t753 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t89 @t367) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t89 @t365))))) % 1.31/1.52 (assume @p611 (forall @t373 (=> @t703 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t367 @t89) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t365 @t89))))) % 1.31/1.52 (assume @p612 (forall @t521 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t116 @t114) @t513 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t114 @t116)))) % 1.31/1.52 (assume @p613 (forall (@list @t308 @t156) (= (= (tptp.hAPP @t707 @t308) @t732) (or @t309 (= @t156 @t732))))) % 1.31/1.52 (assume @p614 (forall @t304 (= (tptp.hAPP (tptp.hAPP @t706 @t732) @t303) @t732))) % 1.31/1.52 (assume @p615 (forall @t322 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t674 @t162) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t162 @t303) (not @t738))))) % 1.31/1.52 (assume @p616 (forall (@list @t306 @t29 @t754 @t755 @t8) (= (tptp.hAPP @t756 @t748) (tptp.hAPP (tptp.hAPP @t754 @t29) (tptp.hAPP @t756 @t306))))) % 1.31/1.52 (assume @p617 (forall @t305 (not (= @t262 @t730)))) % 1.31/1.52 (assume @p618 (forall (@list @t757) (not (= @t262 (tptp.c_Nat_OSuc @t757))))) % 1.31/1.52 (assume @p619 (forall @t305 (not (= @t730 @t262)))) % 1.31/1.52 (assume @p620 (forall (@list @t758) (not (= (tptp.c_Nat_OSuc @t758) @t262)))) % 1.31/1.52 (assume @p621 (forall @t322 (= @t760 @t759))) % 1.31/1.52 (assume @p622 (forall @t322 (= @t760 @t761))) % 1.31/1.52 (assume @p623 (forall @t322 (= @t759 @t761))) % 1.31/1.52 (assume @p624 (forall @t304 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t729 @t303)))) % 1.31/1.52 (assume @p625 (forall @t311 (= (not @t377) @t762))) % 1.31/1.52 (assume @p626 (forall @t311 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t308 @t748) (or @t377 (= @t308 @t748))))) % 1.31/1.52 (assume @p627 (forall @t747 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t748 @t744) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t306 @t308)))) % 1.31/1.52 (assume @p628 (forall @t322 (=> @t360 @t763))) % 1.31/1.52 (assume @p629 (forall @t322 (=> @t763 (=> (not @t360) (= @t162 @t729))))) % 1.31/1.52 (assume @p630 (forall @t322 (=> @t764 @t360))) % 1.31/1.52 (assume @p631 (forall @t381 (= (= @t767 @t766) @t382))) % 1.31/1.52 (assume @p632 (forall @t672 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t674 @t183) @t183))) % 1.31/1.52 (assume @p633 (forall @t672 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t183 @t674) @t183))) % 1.31/1.52 (assume @p634 (forall @t521 (=> (= (tptp.c_Nat_OSuc @t116) (tptp.c_Nat_OSuc @t114)) @t513))) % 1.31/1.52 (assume @p635 (forall (@list @t768 @t769) (= (= (tptp.c_Nat_OSuc @t769) (tptp.c_Nat_OSuc @t768)) (= @t769 @t768)))) % 1.31/1.52 (assume @p636 (forall @t304 (not (= @t729 @t303)))) % 1.31/1.52 (assume @p637 (forall @t304 (not (= @t303 @t729)))) % 1.31/1.52 (assume @p638 (forall @t701 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t690 @t700) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t688 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t685 @t700))))) % 1.31/1.52 (assume @p639 (forall @t387 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t116 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t114 @t183)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t114 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t116 @t183))))) % 1.31/1.52 (assume @p640 (forall @t684 (= @t770 @t750))) % 1.31/1.52 (assume @p641 (forall @t684 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t770) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t683 @t771)))) % 1.31/1.52 (assume @p642 (forall @t672 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t683) @t183))) % 1.31/1.52 (assume @p643 (forall @t773 (= @t772 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t175) @t697)))) % 1.31/1.52 (assume @p644 (forall @t773 (= @t772 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t175 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t697))))) % 1.31/1.52 (assume @p645 (not (= @t674 @t671))) % 1.31/1.52 (assume @p646 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t674) @t674)) % 1.31/1.52 (assume @p647 (forall @t672 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t683 @t183) @t674))) % 1.31/1.52 (assume @p648 (forall @t672 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t734 @t183) @t674)))) % 1.31/1.52 (assume @p649 (forall @t442 (=> @t724 (= (tptp.hAPP @t722 @t729) @t25)))) % 1.31/1.52 (assume @p650 (forall @t776 (=> @t55 (= @t775 @t774)))) % 1.31/1.52 (assume @p651 (forall @t776 (=> @t55 (= @t774 @t775)))) % 1.31/1.52 (assume @p652 (forall @t776 (=> @t55 (= (tptp.hAPP @t575 @t116) @t775)))) % 1.31/1.52 (assume @p653 (forall @t338 (=> @t287 (= @t777 @t715)))) % 1.31/1.52 (assume @p654 (forall @t338 (=> @t720 (= @t777 @t665)))) % 1.31/1.52 (assume @p655 (forall @t316 (= @t595 (exists (@list @t778) (= @t306 (tptp.c_Nat_OSuc @t778)))))) % 1.31/1.52 (assume @p656 (forall @t316 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t306 @t732) @t307))) % 1.31/1.52 (assume @p657 (forall @t311 (= @t749 (or @t309 (exists (@list @t779) (and (= @t308 (tptp.c_Nat_OSuc @t779)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t779 @t306))))))) % 1.31/1.52 (assume @p658 (forall @t483 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t308 @t732) @t780))) % 1.31/1.52 (assume @p659 (forall @t311 (= (= @t310 @t732) @t782))) % 1.31/1.52 (assume @p660 (forall @t311 (= (= @t732 @t310) @t782))) % 1.31/1.52 (assume @p661 (forall @t783 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t732 @t367) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t732 @t711)))) % 1.31/1.52 (assume @p662 (forall @t311 (= (= @t463 @t732) (and @t780 @t781)))) % 1.31/1.52 (assume @p663 (forall @t311 (= @t525 (exists @t391 (= @t306 (tptp.c_Nat_OSuc @t390)))))) % 1.31/1.52 (assume @p664 (forall @t784 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t367 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t162 @t367))))) % 1.31/1.52 (assume @p665 (forall @t784 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t367 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t367 @t162))))) % 1.31/1.52 (assume @p666 (forall @t322 (=> @t764 @t495))) % 1.31/1.52 (assume @p667 (forall @t311 (=> @t377 @t746))) % 1.31/1.52 (assume @p668 (forall @t322 (=> @t495 @t764))) % 1.31/1.52 (assume @p669 (forall @t322 (=> @t360 @t741))) % 1.31/1.52 (assume @p670 (forall @t311 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t744 @t306) @t525))) % 1.31/1.52 (assume @p671 (forall @t311 (= @t749 @t377))) % 1.31/1.52 (assume @p672 (forall @t747 (= @t677 @t762))) % 1.31/1.52 (assume @p673 (= @t318 @t732)) % 1.31/1.52 (assume @p674 (forall @t381 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t767 @t766) @t525))) % 1.31/1.52 (assume @p675 (forall @t322 (= (tptp.hAPP (tptp.hAPP @t319 @t730) @t303) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t303 @t321)))) % 1.31/1.52 (assume @p676 (forall @t322 (= (tptp.hAPP @t320 @t729) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t162 @t321)))) % 1.31/1.52 (assume @p677 (forall @t381 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t767 @t766) @t377))) % 1.31/1.52 (assume @p678 (forall @t304 (= @t729 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t303 @t318)))) % 1.31/1.52 (assume @p679 (forall @t304 (= @t729 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t303)))) % 1.31/1.52 (assume @p680 (forall @t630 (=> @t35 (= (tptp.hAPP @t629 @t729) @t585)))) % 1.31/1.52 (assume @p681 (forall @t446 (=> @t441 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t777 @t785) (=> @t418 @t349))))) % 1.31/1.52 (assume @p682 (forall @t446 (=> @t441 (=> (= @t777 @t785) (=> @t419 (=> @t418 @t193)))))) % 1.31/1.52 (assume @p683 (forall @t338 (=> @t441 (=> @t659 (tptp.c_Orderings_Oord__class_Oless @t8 @t270 @t777))))) % 1.31/1.52 (assume @p684 (forall @t224 (=> @t32 (= (= (tptp.hAPP (tptp.hAPP @t470 @t156) @t786) (tptp.hAPP (tptp.hAPP @t470 @t155) @t786)) (or @t328 (= @t156 @t329)))))) % 1.31/1.52 (assume @p685 (forall @t392 (=> @t788 (=> @t787 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t303 @t321))))) % 1.31/1.52 (assume @p686 (forall @t392 (=> @t788 (=> @t787 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t303 @t489))))) % 1.31/1.52 (assume @p687 (forall @t392 (=> @t788 (=> @t787 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t732 @t321))))) % 1.31/1.52 (assume @p688 (forall (@list @t29 @t754 @t755 @t8) (= (tptp.hAPP @t756 @t262) @t755))) % 1.31/1.52 (assume @p689 (forall @t311 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t732 @t463) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t732 @t308) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t732 @t306))))) % 1.31/1.52 (assume @p690 (forall @t338 (=> @t35 (= (tptp.c_Polynomial_Omonom @t8 @t13 @t729) (tptp.c_Polynomial_OpCons @t8 @t25 @t336))))) % 1.31/1.52 (assume @p691 (forall (@list @t303 @t191 @t8) (=> @t441 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t191) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t191 @t270) (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.hAPP (tptp.hAPP @t470 @t191) @t729) @t191)))))) % 1.31/1.52 (assume @p692 (forall @t338 (=> @t441 (=> @t615 (=> @t666 (tptp.c_Orderings_Oord__class_Oless @t8 @t777 @t270)))))) % 1.31/1.52 (assume @p693 (forall @t789 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t706 @t13) @t303) (tptp.hAPP (tptp.hAPP @t706 @t20) @t303)) (=> @t474 @t537)))) % 1.31/1.52 (assume @p694 (forall @t790 (=> @t596 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t706 @t29) @t306) (tptp.hAPP (tptp.hAPP @t706 @t70) @t306)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t29 @t70))))) % 1.31/1.52 (assume @p695 (forall @t233 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t116 @t262))) % 1.31/1.52 (assume @p696 (forall @t233 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t318 @t116))) % 1.31/1.52 (assume @p697 (forall @t789 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t554 @t13) @t303) (tptp.hAPP (tptp.hAPP @t554 @t20) @t303)) (=> @t474 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t13 @t20))))) % 1.31/1.52 (assume @p698 (forall @t790 (=> @t596 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t554 @t29) @t306) (tptp.hAPP (tptp.hAPP @t554 @t70) @t306)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t29 @t70))))) % 1.31/1.52 (assume @p699 (forall @t793 (=> @t792 (=> @t791 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t191 @t13) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t671 @t40)))))) % 1.31/1.52 (assume @p700 (forall @t793 (=> @t792 (=> @t791 (=> @t794 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t40 @t671)))))) % 1.31/1.52 (assume @p701 (forall @t805 (=> @t804 (=> @t801 (=> @t799 (=> @t798 (=> @t797 (=> @t796 @t795)))))))) % 1.31/1.52 (assume @p702 (forall @t684 (=> @t807 (=> @t806 (= @t183 @t681))))) % 1.31/1.52 (assume @p703 (forall @t373 (=> @t753 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t365 @t89) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t367 @t89))))) % 1.31/1.52 (assume @p704 (forall @t684 (or @t807 @t806))) % 1.31/1.52 (assume @p705 (forall (@list @t681) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t681 @t681))) % 1.31/1.52 (assume @p706 (forall @t810 (=> @t809 (=> @t808 (=> @t797 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t265)))))) % 1.31/1.52 (assume @p707 (forall @t810 (=> @t801 (=> @t798 (=> @t797 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t265 @t674)))))) % 1.31/1.52 (assume @p708 (forall @t812 (=> @t811 (=> @t798 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t263 @t20) (=> @t799 @t795)))))) % 1.31/1.52 (assume @p709 (forall @t805 (=> @t804 (=> @t809 (=> @t808 (=> @t794 (=> @t797 (=> @t796 @t813)))))))) % 1.31/1.52 (assume @p710 (forall @t812 (=> @t811 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t191 @t674) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t20 @t191) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t20 @t263) @t813)))))) % 1.31/1.52 (assume @p711 (forall (@list @t303 @t116) (=> @t814 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 (tptp.hAPP @t555 @t303))))) % 1.31/1.52 (assume @p712 (forall @t709 (= @t708 (or @t307 @t705)))) % 1.31/1.52 (assume @p713 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t674)) % 1.31/1.52 (assume @p714 (forall @t233 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t116 @t786) (or (= @t116 @t262) (= @t116 @t732))))) % 1.31/1.52 (assume @p715 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t671)) % 1.31/1.52 (assume @p716 (forall @t521 (=> @t814 (=> @t815 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t116 @t114)))))) % 1.31/1.52 (assume @p717 (forall @t521 (=> @t814 (=> @t815 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 (tptp.hAPP (tptp.hAPP @t583 @t116) @t114)))))) % 1.31/1.52 (assume @p718 (forall @t816 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t378 @t215) (exists @t566 (= @t215 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t378 @t564)))))) % 1.31/1.52 (assume @p719 (forall @t33 (=> @t452 (= (tptp.c_Polynomial_Opos__poly @t8 @t39) (or @t817 (and @t28 @t621)))))) % 1.31/1.52 (assume @p720 (forall @t37 (=> @t452 (not (tptp.c_Polynomial_Opos__poly @t8 @t10))))) % 1.31/1.52 (assume @p721 (forall @t820 (=> @t452 (=> @t819 (=> @t818 (tptp.c_Polynomial_Opos__poly @t8 @t143)))))) % 1.31/1.52 (assume @p722 (forall @t820 (=> @t452 (=> @t819 (=> @t818 (tptp.c_Polynomial_Opos__poly @t8 @t43)))))) % 1.31/1.52 (assume @p723 (forall @t26 (=> @t452 (or @t12 @t819 (tptp.c_Polynomial_Opos__poly @t8 @t343))))) % 1.31/1.52 (assume @p724 (forall (@list @t378 @t213 @t175) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t674 @t175) (=> (forall @t6 (=> @t214 (tptp.hBOOL (tptp.hAPP @t213 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t175))))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t378) (forall @t6 (=> @t214 (tptp.hBOOL (tptp.hAPP @t213 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 (tptp.hAPP @t698 @t175))))))))))) % 1.31/1.52 (assume @p725 (forall (@list @t306 @t213) (=> @t823 (=> (tptp.hBOOL @t675) (exists @t391 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t389 @t306) (forall (@list @t821) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t821 @t389) (not (tptp.hBOOL (tptp.hAPP @t213 @t821))))) (tptp.hBOOL (tptp.hAPP @t213 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t389 @t318))))))))) % 1.31/1.52 (assume @p726 (forall (@list @t288 @t64 @t155 @t156 @t8) (=> @t63 (= (tptp.c_Polynomial_Opdivmod__rel @t8 @t156 @t155 @t64 @t288) (and (= @t156 (tptp.c_Groups_Oplus__class_Oplus @t9 (tptp.hAPP (tptp.hAPP @t41 @t64) @t155) @t288)) (=> @t824 @t68) (=> (not @t824) (or @t289 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t8 @t288) (tptp.c_Polynomial_Odegree @t8 @t155))))))))) % 1.31/1.52 (assume @p727 (forall @t670 (=> @t287 (=> @t587 (= (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP @t471 @t825)) @t116) @t472))))) % 1.31/1.52 (assume @p728 (forall @t37 (=> @t55 (= (tptp.c_Polynomial_Odegree @t8 @t281) @t262)))) % 1.31/1.52 (assume @p729 (forall @t828 (=> @t495 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t162 @t364) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t827 @t826))))) % 1.31/1.52 (assume @p730 (forall (@list @t303 @t89 @t365) (=> @t743 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t365 @t303) @t89)))) % 1.31/1.52 (assume @p731 (forall @t52 (=> @t344 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t13 @t25) @t13)))) % 1.31/1.52 (assume @p732 (forall @t52 (=> @t344 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t13 @t13) @t25)))) % 1.31/1.52 (assume @p733 (forall @t108 (=> @t337 (= @t71 @t830)))) % 1.31/1.52 (assume @p734 (forall @t108 (=> @t344 (= @t830 @t71)))) % 1.31/1.52 (assume @p735 (forall @t177 (=> @t314 (=> @t831 (= @t576 (tptp.c_Orderings_Oord__class_Oless @t8 @t73 @t175)))))) % 1.31/1.52 (assume @p736 (forall @t101 (=> @t344 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t139 @t20) @t13)))) % 1.31/1.52 (assume @p737 (forall @t101 (=> @t344 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t832 @t20) @t13)))) % 1.31/1.52 (assume @p738 (forall @t101 (=> @t337 (= (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t832) (tptp.c_Groups_Ominus__class_Ominus @t8 @t20 @t13))))) % 1.31/1.52 (assume @p739 (forall @t186 (=> @t293 (=> @t716 (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t116 @t183) (tptp.c_Rings_Odvd__class_Odvd @t8 @t116 (tptp.c_Groups_Ominus__class_Ominus @t8 @t114 @t183))))))) % 1.31/1.52 (assume @p740 (forall @t261 (=> @t17 (= (tptp.c_Polynomial_Odegree @t8 @t258) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t833 @t318))))) % 1.31/1.52 (assume @p741 (forall @t304 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t262 @t303) @t262))) % 1.31/1.52 (assume @p742 (forall @t305 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t162 @t262) @t162))) % 1.31/1.52 (assume @p743 (forall @t305 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t162 @t162) @t262))) % 1.31/1.52 (assume @p744 (forall @t322 (=> @t835 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t303 @t162) @t262) @t494)))) % 1.31/1.52 (assume @p745 (forall @t354 (=> @t837 (=> @t590 @t836)))) % 1.31/1.52 (assume @p746 (forall @t363 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t361 @t385) @t834))) % 1.31/1.52 (assume @p747 (forall @t354 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t838 @t599) @t834))) % 1.31/1.52 (assume @p748 (forall @t373 (= @t840 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t367 @t372)))) % 1.31/1.52 (assume @p749 (forall @t392 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t388 @t303) @t162))) % 1.31/1.52 (assume @p750 (forall @t322 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t353 @t303) @t162))) % 1.31/1.52 (assume @p751 (forall @t26 (=> @t337 (= (tptp.c_Polynomial_Odegree @t8 @t343) @t833)))) % 1.31/1.52 (assume @p752 (forall @t358 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t841 (tptp.c_Nat_OSuc @t89)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t834 @t89)))) % 1.31/1.52 (assume @p753 (forall @t322 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t730 @t729) @t834))) % 1.31/1.52 (assume @p754 (forall @t635 (=> @t337 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t842) @t303) (tptp.c_Groups_Ominus__class_Ominus @t8 @t585 @t634))))) % 1.31/1.52 (assume @p755 (forall (@list @t156 @t843 @t325 @t120 @t8) (=> (tptp.class_Groups_Ominus @t8) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t327 @t325 @t843) @t156) (tptp.c_Groups_Ominus__class_Ominus @t8 @t326 (tptp.hAPP @t843 @t156)))))) % 1.31/1.52 (assume @p756 (forall @t24 (=> @t341 (= (tptp.c_Polynomial_Osmult @t8 @t832 @t11) (tptp.c_Groups_Ominus__class_Ominus @t9 @t19 @t72))))) % 1.31/1.52 (assume @p757 (forall @t146 (=> @t337 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t14 @t144) (tptp.c_Polynomial_OpCons @t8 @t832 @t842))))) % 1.31/1.52 (assume @p758 (forall @t177 (=> @t337 (=> @t831 (= @t71 @t176))))) % 1.31/1.52 (assume @p759 (forall @t241 (=> @t341 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t8 @t842) @t116) (tptp.c_Groups_Ominus__class_Ominus @t8 @t235 @t240))))) % 1.31/1.52 (assume @p760 (forall @t373 (= @t840 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t367 @t89) @t365)))) % 1.31/1.52 (assume @p761 (forall @t446 (=> @t337 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t336 @t444) (tptp.c_Polynomial_Omonom @t8 @t832 @t303))))) % 1.31/1.52 (assume @p762 (forall (@list @t132 @t11 @t8) (=> @t17 (= (tptp.c_Polynomial_Odegree @t8 @t195) @t833)))) % 1.31/1.52 (assume @p763 (forall @t354 (= (tptp.hAPP @t350 @t834) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t352 @t351)))) % 1.31/1.52 (assume @p764 (forall @t358 (= (tptp.hAPP (tptp.hAPP @t319 @t834) @t89) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t357 @t356)))) % 1.31/1.52 (assume @p765 (forall @t170 (=> @t113 (= (tptp.hAPP @t845 @t165) (tptp.c_Groups_Ominus__class_Ominus @t8 @t168 @t167))))) % 1.31/1.52 (assume @p766 (forall @t173 (=> @t113 (= (tptp.hAPP (tptp.hAPP @t21 (tptp.c_Groups_Ominus__class_Ominus @t8 @t13 @t171)) @t20) (tptp.c_Groups_Ominus__class_Ominus @t8 @t23 @t172))))) % 1.31/1.52 (assume @p767 (forall @t182 (=> @t113 (= (tptp.hAPP @t179 @t844) (tptp.c_Groups_Ominus__class_Ominus @t8 @t181 @t180))))) % 1.31/1.52 (assume @p768 (forall @t189 (=> @t113 (= (tptp.hAPP @t22 (tptp.c_Groups_Ominus__class_Ominus @t8 @t20 @t187)) (tptp.c_Groups_Ominus__class_Ominus @t8 @t23 @t188))))) % 1.31/1.52 (assume @p769 (forall @t820 (=> @t32 (=> (= @t848 @t847) (=> @t53 (=> (tptp.c_Rings_Odvd__class_Odvd @t9 @t40 @t11) (= @t11 @t40))))))) % 1.31/1.52 (assume @p770 (forall @t304 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t729 @t318) @t303))) % 1.31/1.52 (assume @p771 (forall @t322 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t162 @t729) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t849 @t303)))) % 1.31/1.52 (assume @p772 (forall @t852 (=> @t851 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t367 @t850) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t368 @t365))))) % 1.31/1.52 (assume @p773 (forall (@list @t853 @t378 @t855) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t856 @t853) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t855 @t854)))) % 1.31/1.52 (assume @p774 (forall (@list @t162 @t303 @t89) (=> @t359 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t162 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t388 @t89))))) % 1.31/1.52 (assume @p775 (forall @t392 (=> @t503 @t857))) % 1.31/1.52 (assume @p776 (forall @t852 (=> @t851 (= @t859 @t858)))) % 1.31/1.52 (assume @p777 (forall (@list @t853 @t855 @t378) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t378 @t855) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t853 @t856) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t854 @t855))))) % 1.31/1.52 (assume @p778 (forall @t392 (=> @t503 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t834 @t303) @t162)))) % 1.31/1.52 (assume @p779 (forall @t862 (=> @t861 (= (= @t860 @t378) (= @t855 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t378 @t853)))))) % 1.31/1.52 (assume @p780 (forall @t852 (=> @t851 (= @t858 @t859)))) % 1.31/1.52 (assume @p781 (forall @t852 (=> @t851 (= @t864 @t863)))) % 1.31/1.52 (assume @p782 (forall @t852 (=> @t851 (= @t863 @t864)))) % 1.31/1.52 (assume @p783 (forall @t354 (=> @t836 (=> @t590 (=> @t503 @t837))))) % 1.31/1.52 (assume @p784 (forall @t354 (=> @t836 (=> @t837 (=> @t503 @t590))))) % 1.31/1.52 (assume @p785 (forall @t338 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t865 @t303)))) % 1.31/1.52 (assume @p786 (forall @t381 (=> @t869 (=> @t868 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t867 @t866) @t525))))) % 1.31/1.52 (assume @p787 (forall @t543 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t20) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t15 @t13) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t13 @t15) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t20 @t15)))))) % 1.31/1.52 (assume @p788 (forall @t322 (=> @t740 @t857))) % 1.31/1.52 (assume @p789 (forall @t862 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t853 @t856) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t854 @t855)))) % 1.31/1.52 (assume @p790 (forall @t392 (=> @t503 (= @t841 (tptp.c_Nat_OSuc @t834))))) % 1.31/1.52 (assume @p791 (forall @t322 (=> @t360 @t835))) % 1.31/1.52 (assume @p792 (forall @t311 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t308 @t306) @t262) @t377))) % 1.31/1.52 (assume @p793 (forall @t392 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t303 @t388) @t262))) % 1.31/1.52 (assume @p794 (forall @t322 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t834 @t730))) % 1.31/1.52 (assume @p795 (forall @t873 (=> @t145 (=> @t872 (=> @t871 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t870 @t303)))))) % 1.31/1.52 (assume @p796 (forall @t747 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t262 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t306 @t308)) @t525))) % 1.31/1.52 (assume @p797 (forall @t392 (=> @t587 (=> @t591 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t834 @t162))))) % 1.31/1.52 (assume @p798 (forall (@list @t11 @t40 @t8) (=> @t145 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t846 @t833) (= @t870 @t833))))) % 1.31/1.52 (assume @p799 (forall @t820 (=> @t145 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t833 @t846) (= @t870 @t846))))) % 1.31/1.52 (assume @p800 (forall @t873 (=> @t145 (=> @t875 (=> @t874 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t870 @t303)))))) % 1.31/1.52 (assume @p801 (forall @t338 (=> @t35 (=> @t62 (= @t865 @t303))))) % 1.31/1.52 (assume @p802 (forall @t342 (=> @t17 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t876 @t833)))) % 1.31/1.52 (assume @p803 (forall @t101 (=> @t344 @t877))) % 1.31/1.52 (assume @p804 (forall @t101 (=> @t337 @t877))) % 1.31/1.52 (assume @p805 (forall @t334 (=> @t293 (= @t844 (tptp.c_Groups_Oplus__class_Oplus @t8 @t116 @t332))))) % 1.31/1.52 (assume @p806 (forall @t101 (=> @t344 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t13 @t348) @t139)))) % 1.31/1.52 (assume @p807 (forall @t52 (=> @t344 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t25 @t13) @t335)))) % 1.31/1.52 (assume @p808 (forall @t882 (=> @t395 (= @t881 (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t117 @t880) @t879))))) % 1.31/1.52 (assume @p809 (forall @t882 (=> @t113 (= @t881 (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t878 @t880) @t879) (tptp.hAPP @t22 @t880)))))) % 1.31/1.52 (assume @p810 (forall @t888 (=> @t395 (= @t887 (= @t884 @t175))))) % 1.31/1.52 (assume @p811 (forall @t888 (=> @t395 (= @t887 (= @t73 @t889))))) % 1.31/1.52 (assume @p812 (forall @t37 (=> @t35 (= (tptp.c_Polynomial_Odegree @t8 @t10) @t262)))) % 1.31/1.52 (assume @p813 (forall @t108 (=> @t314 (= @t576 (tptp.c_Orderings_Oord__class_Oless @t8 @t829 @t25))))) % 1.31/1.52 (assume @p814 (forall @t108 (=> @t314 (= @t347 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t829 @t25))))) % 1.31/1.52 (assume @p815 (forall @t177 (=> @t314 (=> @t831 (= @t347 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t73 @t175)))))) % 1.31/1.52 (assume @p816 (forall @t322 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t834 @t162))) % 1.31/1.52 (assume @p817 (forall @t828 (=> @t360 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t827 @t826)))) % 1.31/1.52 (assume @p818 (forall @t828 (=> @t360 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t162 @t364) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t303 @t364))))) % 1.31/1.52 (assume @p819 (forall @t783 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t367 @t303) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t303 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t303 @t367)) @t367)))) % 1.31/1.52 (assume @p820 (forall @t381 (=> @t869 (=> @t868 (= (= @t867 @t866) @t382))))) % 1.31/1.52 (assume @p821 (forall @t354 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t162) (=> @t359 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t162 @t89) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t303 @t89)) @t834))))) % 1.31/1.52 (assume @p822 (forall @t381 (=> @t869 (=> @t868 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t867 @t866) @t377))))) % 1.31/1.52 (assume @p823 (forall @t342 (=> @t32 (and (=> @t61 (= @t876 @t262)) (=> @t62 (= @t876 @t833)))))) % 1.31/1.52 (assume @p824 (forall @t586 (=> @t35 (=> @t875 @t890)))) % 1.31/1.52 (assume @p825 (forall @t888 (=> @t424 (= @t891 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t884 @t175))))) % 1.31/1.52 (assume @p826 (forall @t888 (=> @t424 (= @t891 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t73 @t889))))) % 1.31/1.52 (assume @p827 (forall @t888 (=> @t424 (= @t892 (tptp.c_Orderings_Oord__class_Oless @t8 @t884 @t175))))) % 1.31/1.52 (assume @p828 (forall @t888 (=> @t424 (= @t892 (tptp.c_Orderings_Oord__class_Oless @t8 @t73 @t889))))) % 1.31/1.52 (assume @p829 (forall @t586 (=> @t35 (=> (not @t890) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t303 @t833))))) % 1.31/1.52 (assume @p830 (forall @t342 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t894 @t893)))) % 1.31/1.52 (assume @p831 (forall @t118 (=> @t725 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t269 @t270) (tptp.hAPP (tptp.hAPP @t21 (tptp.c_Groups_Oplus__class_Oplus @t8 @t116 @t270)) (tptp.c_Groups_Ominus__class_Ominus @t8 @t116 @t270)))))) % 1.31/1.52 (assume @p832 (forall (@list @t697 @t895 @t175 @t8) (=> (and @t341 @t91) (=> (tptp.c_Rings_Odvd__class_Odvd @t8 @t175 @t895) (forall (@list @t3 @t389) (= (tptp.c_Rings_Odvd__class_Odvd @t8 @t175 (tptp.c_Groups_Oplus__class_Oplus @t8 @t3 @t697)) (tptp.c_Rings_Odvd__class_Odvd @t8 @t175 (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t3 (tptp.hAPP (tptp.hAPP @t21 @t389) @t895)) @t697)))))))) % 1.31/1.52 (assume @p833 (forall @t243 (=> @t35 (= (= @t897 @t25) @t28)))) % 1.31/1.52 (assume @p834 (forall @t26 (=> @t35 (=> @t727 (not (= @t848 @t25)))))) % 1.31/1.52 (assume @p835 (forall @t52 (=> @t35 (= (tptp.c_Polynomial_Odegree @t8 @t131) @t262)))) % 1.31/1.52 (assume @p836 (forall @t728 (=> @t35 @t898))) % 1.31/1.52 (assume @p837 (forall @t820 (=> @t17 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t900 @t899)))) % 1.31/1.52 (assume @p838 (forall @t820 (=> @t32 (=> @t53 (=> @t901 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t833 @t846)))))) % 1.31/1.52 (assume @p839 (forall @t820 (=> @t32 (=> @t727 (=> @t901 (= @t900 @t899)))))) % 1.31/1.52 (assume @p840 (forall (@list @t367 @t303) (=> @t587 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t303 @t742) @t303)))) % 1.31/1.52 (assume @p841 (forall @t304 (=> @t587 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t303 @t732)) @t303)))) % 1.31/1.52 (assume @p842 (forall @t908 (= @t907 (not (or (and @t906 @t823) (exists @t905 (and @t904 (not @t903)))))))) % 1.31/1.52 (assume @p843 (forall @t908 (= @t907 (and (=> @t906 @t822) (forall @t905 (=> @t904 @t903)))))) % 1.31/1.52 (assume @p844 (forall @t911 (=> @t851 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t910 @t162) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t909 @t838))))) % 1.31/1.52 (assume @p845 (forall @t911 (=> @t851 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t162 @t910) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t361 @t909))))) % 1.31/1.52 (assume @p846 (forall @t918 (=> @t917 (= @t916 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t913 @t306))))) % 1.31/1.52 (assume @p847 (forall (@list @t303 @t162 @t297 @t367 @t365) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t365 @t367) (= @t919 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t319 @t839) @t297) @t162) @t303))))) % 1.31/1.52 (assume @p848 (forall @t918 (=> @t917 (= @t920 (= @t913 @t306))))) % 1.31/1.52 (assume @p849 (forall @t922 (=> @t861 (= @t916 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t308 @t921))))) % 1.31/1.52 (assume @p850 (forall (@list @t303 @t162 @t297 @t365 @t367) (=> @t370 (= @t919 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t162 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t319 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t365 @t367)) @t297) @t303)))))) % 1.31/1.52 (assume @p851 (forall @t922 (=> @t861 (= @t920 (= @t308 @t921))))) % 1.31/1.52 (assume @p852 (forall @t586 (=> @t55 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t8 @t557) (tptp.hAPP @t923 @t303))))) % 1.31/1.52 (assume @p853 (forall @t295 (=> @t17 (= (= (tptp.c_Polynomial_Osynthetic__div @t8 @t27 @t73) @t10) @t924)))) % 1.31/1.52 (assume @p854 (forall @t728 (=> @t32 (=> @t727 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t466 @t833))))) % 1.31/1.52 (assume @p855 (forall @t820 (=> @t17 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t8 @t217) (tptp.hAPP @t923 @t846))))) % 1.31/1.52 (assume @p856 (forall @t60 (=> @t59 (or (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t925 (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t40)) (= @t40 @t229))))) % 1.31/1.52 (assume @p857 (forall @t728 (=> @t35 (and (=> @t12 (= @t894 @t262)) @t898)))) % 1.31/1.52 (assume @p858 (forall @t820 (=> @t17 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t43) @t899) (tptp.hAPP (tptp.hAPP @t21 @t848) @t847))))) % 1.31/1.52 (assume @p859 (forall @t243 (=> @t452 (= @t817 (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t897))))) % 1.31/1.52 (assume @p860 (forall @t304 (=> @t587 (= @t303 @t926)))) % 1.31/1.52 (assume @p861 (forall @t304 (=> @t587 (= @t926 @t303)))) % 1.31/1.52 (assume @p862 (forall @t322 (and (=> @t317 (= @t353 @t303)) (=> @t927 (= @t353 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t849 @t303))))))) % 1.31/1.52 (assume @p863 (forall @t918 (=> @t917 (= @t928 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t913 @t306))))) % 1.31/1.52 (assume @p864 (forall @t922 (=> @t861 (= @t928 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t308 @t921))))) % 1.31/1.52 (assume @p865 (forall @t322 (and (=> @t317 (= @t321 @t262)) (=> @t927 (= @t321 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t303 (tptp.hAPP (tptp.hAPP @t319 @t849) @t303))))))) % 1.31/1.52 (assume @p866 (forall @t26 (=> @t35 (and (=> @t12 (= @t929 @t262)) (=> @t727 (= @t929 @t893)))))) % 1.31/1.52 (assume @p867 (forall @t338 (=> @t55 (= (tptp.c_Polynomial_Odegree @t8 @t600) @t303)))) % 1.31/1.52 (assume @p868 (forall (@list @t11 @t162) (and (=> @t317 (= @t931 @t318)) (=> @t927 (= @t931 (tptp.hAPP @t567 (tptp.hAPP @t930 @t849))))))) % 1.31/1.52 (assume @p869 (forall @t586 (=> @t35 (=> @t872 (=> @t890 (or @t12 @t875)))))) % 1.31/1.52 (assume @p870 (forall @t334 (=> @t293 (= (tptp.c_Groups_Ominus__class_Ominus @t8 (tptp.hAPP @t471 @t786) (tptp.hAPP @t573 @t786)) (tptp.hAPP @t845 @t169))))) % 1.31/1.52 (assume @p871 (forall (@list @t64 @t27) (= (forall @t6 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t27) @t3) @t58) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t64) @t3) @t58))) (or (tptp.c_Rings_Odvd__class_Odvd @t7 @t27 (tptp.hAPP (tptp.hAPP @t932 @t64) (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t27))) (and (= @t27 @t229) (= @t64 @t229)))))) % 1.31/1.52 (assume @p872 (forall (@list @t162 @t303 @t8) (=> @t720 (and (=> @t464 (= @t934 @t270)) (=> @t474 (= @t934 (tptp.hAPP @t628 (tptp.hAPP @t933 @t825)))))))) % 1.31/1.52 (assume @p873 (forall (@list @t114 @t303 @t11 @t8) (=> @t287 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t11 @t303) (= (tptp.hAPP @t573 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t729 @t11)) (tptp.hAPP (tptp.hAPP @t21 (tptp.hAPP @t573 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t303 @t11))) @t114)))))) % 1.31/1.52 (assume @p874 (forall @t873 (=> @t337 (=> @t875 (=> @t874 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t935 @t303)))))) % 1.31/1.52 (assume @p875 (forall @t26 (=> @t337 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t11 @t10) @t11)))) % 1.31/1.52 (assume @p876 (forall (@list @t70 @t64 @t29 @t27) (=> (= @t27 @t58) (=> (not (= @t29 @t58)) (= (= @t64 @t58) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.hAPP @t936 @t29) @t64) (tptp.hAPP (tptp.hAPP @t936 @t70) @t27)) @t58)))))) % 1.31/1.52 (assume @p877 (forall @t354 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t89 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t162 @t303)) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t89 @t303) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t89 @t162))))) % 1.31/1.52 (assume @p878 (forall @t47 (=> @t341 (= (tptp.c_Polynomial_Osmult @t8 @t13 @t842) (tptp.c_Groups_Ominus__class_Ominus @t9 @t19 @t45))))) % 1.31/1.52 (assume @p879 (forall @t696 (= (tptp.hAPP (tptp.hAPP @t583 @t937) @t681) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t695 @t693)))) % 1.31/1.52 (assume @p880 (forall @t691 (= (tptp.hAPP @t686 @t937) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t689 @t687)))) % 1.31/1.52 (assume @p881 (forall @t684 (= @t939 @t938))) % 1.31/1.52 (assume @p882 (forall @t684 (= @t938 @t939))) % 1.31/1.52 (assume @p883 (forall @t816 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t378 @t215) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t378 @t215) @t674)))) % 1.31/1.52 (assume @p884 (forall @t873 (=> @t337 (=> @t872 (=> @t871 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t935 @t303)))))) % 1.31/1.52 (assume @p885 (forall @t48 (=> @t337 (= (tptp.c_Groups_Ominus__class_Ominus @t9 @t10 @t40) (tptp.c_Groups_Ouminus__class_Ouminus @t9 @t40))))) % 1.31/1.52 (assume @p886 (forall @t224 (=> @t452 (= (tptp.c_Orderings_Oord__class_Oless__eq @t9 @t156 @t155) (or @t328 @t940))))) % 1.31/1.52 (assume @p887 (forall @t224 (=> @t452 (= (tptp.c_Orderings_Oord__class_Oless @t9 @t156 @t155) @t940)))) % 1.31/1.52 (assume @p888 (forall @t736 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t157 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t119 @t671)) @t737))) % 1.31/1.52 (assume @p889 (forall (@list @t303 @t40 @t11) (=> (forall @t6 (=> (= (tptp.hAPP @t244 @t3) @t58) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t40) @t3) @t58))) (=> (= @t925 @t303) (=> @t474 (tptp.c_Rings_Odvd__class_Odvd @t7 @t11 (tptp.hAPP (tptp.hAPP @t932 @t40) @t303))))))) % 1.31/1.52 (assume @p890 (forall @t243 (=> @t238 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t8 @t8 @t237) @t924)))) % 1.31/1.52 (assume @p891 (forall (@list @t2 @t120 @t8) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t8 @t120 @t2) (forall (@list @t3 @t941) (= @t5 (tptp.hAPP @t2 @t941)))))) % 1.31/1.52 (assume @p892 (forall (@list @t13 @t20 @t191 @t40 @t114 @t116 @t8) (=> @t63 (=> @t266 (=> @t946 (=> (= @t20 (tptp.c_Rings_Oinverse__class_Odivide @t8 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t942) @t944) @t945)) (tptp.c_Polynomial_Opdivmod__rel @t8 @t943 @t114 @t144 (tptp.c_Groups_Ominus__class_Ominus @t9 @t942 (tptp.c_Polynomial_Osmult @t8 @t20 @t114))))))))) % 1.31/1.52 (assume @p893 (forall @t247 (and @t949 (=> (not @t948) (= @t947 @t674))))) % 1.31/1.52 (assume @p894 (forall @t170 (=> @t952 (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t844 @t165) (tptp.c_Groups_Ominus__class_Ominus @t8 @t951 @t950))))) % 1.31/1.52 (assume @p895 (forall @t87 (=> @t955 (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t832 @t15) (tptp.c_Groups_Ominus__class_Ominus @t8 @t954 @t953))))) % 1.31/1.52 (assume @p896 (forall @t87 (=> @t955 (= (tptp.hAPP @t22 @t953) (tptp.c_Rings_Oinverse__class_Odivide @t8 @t23 @t15))))) % 1.31/1.52 (assume @p897 (forall @t403 (=> @t955 (=> @t956 (=> (= @t94 @t20) (= @t13 @t953)))))) % 1.31/1.52 (assume @p898 (forall @t438 (=> @t955 (=> @t956 (=> (= @t20 @t94) (= @t953 @t13)))))) % 1.31/1.52 (assume @p899 (forall @t961 (=> @t955 (=> @t960 (= @t959 @t957))))) % 1.31/1.52 (assume @p900 (forall @t79 (=> @t955 (=> @t960 (= @t963 @t962))))) % 1.31/1.52 (assume @p901 (forall @t149 (=> @t955 (=> (not @t106) (= (= @t964 @t270) @t71))))) % 1.31/1.52 (assume @p902 (forall @t52 (=> @t955 @t966))) % 1.31/1.52 (assume @p903 (forall @t52 (=> @t967 (and (=> @t61 (= @t965 @t25)) @t966)))) % 1.31/1.52 (assume @p904 (forall @t511 (=> @t955 (=> @t111 @t970)))) % 1.31/1.52 (assume @p905 (forall @t511 (=> @t955 (=> @t111 @t971)))) % 1.31/1.52 (assume @p906 (forall @t101 (=> @t955 (= @t969 (tptp.c_Rings_Oinverse__class_Odivide @t8 @t335 @t20))))) % 1.31/1.52 (assume @p907 (forall @t334 (=> @t952 (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t323 @t114) (tptp.c_Groups_Ouminus__class_Ouminus @t8 @t972))))) % 1.31/1.52 (assume @p908 (forall @t52 (=> @t955 (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t13 @t270) @t13)))) % 1.31/1.52 (assume @p909 (forall @t87 (=> @t955 (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t139 @t15) (tptp.c_Groups_Oplus__class_Oplus @t8 @t954 @t953))))) % 1.31/1.52 (assume @p910 (forall @t170 (=> @t952 (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t169 @t165) (tptp.c_Groups_Oplus__class_Oplus @t8 @t951 @t950))))) % 1.31/1.52 (assume @p911 (forall @t115 (=> @t952 (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t25 @t114) @t25)))) % 1.31/1.52 (assume @p912 (forall @t52 (=> @t967 (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t13 @t25) @t25)))) % 1.31/1.52 (assume @p913 (forall @t52 (=> @t955 (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t25 @t13) @t25)))) % 1.31/1.52 (assume @p914 (forall @t445 (=> @t974 @t973))) % 1.31/1.52 (assume @p915 (forall @t338 (=> @t974 (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t270 @t657) (tptp.hAPP (tptp.hAPP @t470 (tptp.c_Rings_Oinverse__class_Odivide @t8 @t270 @t13)) @t303))))) % 1.31/1.52 (assume @p916 (forall (@list @t303 @t13 @t20 @t8) (=> @t63 (=> @t111 @t973)))) % 1.31/1.52 (assume @p917 (forall (@list @t162 @t303 @t13 @t8) (=> @t63 (=> @t62 (=> @t503 (= (tptp.hAPP @t656 @t834) (tptp.c_Rings_Oinverse__class_Odivide @t8 @t658 @t657))))))) % 1.31/1.52 (assume @p918 (forall @t521 (=> @t814 (=> @t815 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t674 @t947))))) % 1.31/1.52 (assume @p919 (forall @t247 @t949)) % 1.31/1.52 (assume @p920 (forall @t257 (=> @t980 (= @t979 (and (=> @t617 @t978) (=> @t977 (and (=> @t614 @t976) (=> @t975 @t315)))))))) % 1.31/1.52 (assume @p921 (forall @t982 (=> @t980 (= @t981 (and (=> @t617 @t976) (=> @t977 (and (=> @t614 @t978) (=> @t975 @t312)))))))) % 1.31/1.52 (assume @p922 (forall (@list @t681 @t183 @t114 @t116 @t8) (=> @t974 (= (tptp.hAPP (tptp.hAPP @t21 @t972) (tptp.c_Rings_Oinverse__class_Odivide @t8 @t183 @t681)) (tptp.c_Rings_Oinverse__class_Odivide @t8 @t184 (tptp.hAPP @t166 @t681)))))) % 1.31/1.52 (assume @p923 (forall @t101 (=> @t974 @t970))) % 1.31/1.52 (assume @p924 (forall @t101 (=> @t974 @t971))) % 1.31/1.52 (assume @p925 (forall @t108 (=> @t980 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t25 @t964) @t415)))) % 1.31/1.52 (assume @p926 (forall @t108 (=> @t980 (= (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t964 @t25) @t416)))) % 1.31/1.52 (assume @p927 (forall @t87 (=> @t980 (=> @t349 (=> @t426 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t954 @t953)))))) % 1.31/1.52 (assume @p928 (forall @t87 (=> @t980 (=> @t349 (=> @t433 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t953 @t954)))))) % 1.31/1.52 (assume @p929 (forall @t251 (=> @t984 (=> @t509 (=> @t602 @t983))))) % 1.31/1.52 (assume @p930 (forall @t87 (=> @t984 (=> @t512 (=> @t604 @t983))))) % 1.31/1.52 (assume @p931 (forall @t334 (=> @t984 (=> @t987 (=> @t986 @t985))))) % 1.31/1.52 (assume @p932 (forall @t334 (=> @t984 (=> @t987 (=> @t989 @t988))))) % 1.31/1.52 (assume @p933 (forall @t334 (=> @t984 (=> @t990 (=> @t986 @t988))))) % 1.31/1.52 (assume @p934 (forall @t334 (=> @t984 (=> @t990 (=> @t989 @t985))))) % 1.31/1.52 (assume @p935 (forall @t108 (=> @t980 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t964 @t25) (or (and @t621 @t992) (and @t622 @t991)))))) % 1.31/1.52 (assume @p936 (forall @t108 (=> @t980 (= (tptp.c_Orderings_Oord__class_Oless @t8 @t25 @t964) (or (and @t621 @t991) (and @t622 @t992)))))) % 1.31/1.52 (assume @p937 (forall (@list @t157 @t156 @t119 @t155 @t8) (=> @t63 (=> @t644 (=> (not (= @t119 @t25)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t156 @t155) (tptp.c_Rings_Oinverse__class_Odivide @t8 @t157 @t119)) (= @t160 @t161))))))) % 1.31/1.52 (assume @p938 (forall @t403 (=> @t974 (=> @t956 (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t430 @t429) @t968))))) % 1.31/1.52 (assume @p939 (forall @t403 (=> @t974 (=> @t956 (= (tptp.c_Rings_Oinverse__class_Odivide @t8 @t94 @t97) @t968))))) % 1.31/1.52 (assume @p940 (forall @t982 (=> @t974 (= @t959 (and (=> @t960 @t957) @t993))))) % 1.31/1.52 (assume @p941 (forall @t257 (=> @t974 (= @t963 (and (=> @t960 @t962) @t993))))) % 1.31/1.52 (assume @p942 (forall @t334 (=> @t984 (=> @t995 (=> @t986 @t994))))) % 1.31/1.52 (assume @p943 (forall @t334 (=> @t984 (=> @t995 (=> @t989 @t996))))) % 1.31/1.52 (assume @p944 (forall @t1001 (=> @t984 (=> @t451 (=> @t333 (=> @t1000 (=> @t999 (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t998 @t997)))))))) % 1.31/1.52 (assume @p945 (forall @t1001 (=> @t984 (=> @t451 (=> @t507 (=> @t1000 (=> @t999 @t1002))))))) % 1.31/1.52 (assume @p946 (forall @t1001 (=> @t984 (=> @t990 (=> @t333 (=> @t1000 (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t681 @t183) @t1002))))))) % 1.31/1.52 (assume @p947 (forall @t334 (=> @t984 (=> @t451 (=> @t986 @t996))))) % 1.31/1.52 (assume @p948 (forall @t334 (=> @t984 (=> @t451 (=> @t989 @t994))))) % 1.31/1.52 (assume @p949 (forall @t87 (=> @t984 (=> @t512 (=> @t602 @t1005))))) % 1.31/1.52 (assume @p950 (forall @t251 (=> @t984 (=> @t509 (=> @t604 @t1005))))) % 1.31/1.52 (assume @p951 (forall @t961 (=> @t984 (=> @t614 (= @t1007 @t1006))))) % 1.31/1.52 (assume @p952 (forall @t79 (=> @t984 (=> @t614 (= @t1009 @t1008))))) % 1.31/1.52 (assume @p953 (forall @t1012 (=> @t984 (=> @t989 (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t1011 @t116) (tptp.c_Orderings_Oord__class_Oless @t8 @t183 @t972)))))) % 1.31/1.52 (assume @p954 (forall @t500 (=> @t984 (=> @t989 (=> (tptp.c_Orderings_Oord__class_Oless @t8 @t116 @t1011) (tptp.c_Orderings_Oord__class_Oless @t8 @t972 @t183)))))) % 1.31/1.52 (assume @p955 (forall @t961 (=> @t984 (=> @t617 (= @t1007 @t1008))))) % 1.31/1.52 (assume @p956 (forall @t79 (=> @t984 (=> @t617 (= @t1009 @t1006))))) % 1.31/1.52 (assume @p957 (forall @t982 (=> @t980 (= @t1007 (and (=> @t617 @t1008) (=> @t977 (and (=> @t614 @t1006) (=> @t975 @t621)))))))) % 1.31/1.52 (assume @p958 (forall @t257 (=> @t980 (= @t1009 (and (=> @t617 @t1006) (=> @t977 (and (=> @t614 @t1008) (=> @t975 @t622)))))))) % 1.31/1.52 (assume @p959 (forall @t1012 (=> @t974 (=> @t1015 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t183 @t972) @t1014))))) % 1.31/1.52 (assume @p960 (forall @t1019 (=> @t63 (=> @t1018 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t116 @t1017) (tptp.c_Rings_Oinverse__class_Odivide @t8 (tptp.c_Groups_Oplus__class_Oplus @t8 @t1016 @t114) @t183)))))) % 1.31/1.52 (assume @p961 (forall @t500 (=> @t974 (=> @t1015 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t972 @t183) @t1014))))) % 1.31/1.52 (assume @p962 (forall @t1019 (=> @t63 (=> @t1018 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t998 @t114) (tptp.c_Rings_Oinverse__class_Odivide @t8 @t1013 @t183)))))) % 1.31/1.52 (assume @p963 (forall @t1023 (=> @t63 (=> @t1015 (=> @t1018 (= (tptp.c_Groups_Oplus__class_Oplus @t8 @t972 @t1022) (tptp.c_Rings_Oinverse__class_Odivide @t8 (tptp.c_Groups_Oplus__class_Oplus @t8 @t184 @t1021) @t1020))))))) % 1.31/1.52 (assume @p964 (forall @t1023 (=> @t63 (=> @t1015 (=> @t1018 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t972 @t1022) (tptp.c_Rings_Oinverse__class_Odivide @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t184 @t1021) @t1020))))))) % 1.31/1.52 (assume @p965 (forall @t1019 (=> @t63 (=> @t1018 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t998 @t114) (tptp.c_Rings_Oinverse__class_Odivide @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t116 @t1011) @t183)))))) % 1.31/1.52 (assume @p966 (forall @t1019 (=> @t63 (=> @t1018 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t116 @t1017) (tptp.c_Rings_Oinverse__class_Odivide @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t1016 @t114) @t183)))))) % 1.31/1.52 (assume @p967 (forall @t101 (=> @t984 (=> @t512 (tptp.c_Orderings_Oord__class_Oless @t8 @t13 @t1024))))) % 1.31/1.52 (assume @p968 (forall @t101 (=> @t984 (=> @t512 (tptp.c_Orderings_Oord__class_Oless @t8 @t1024 @t20))))) % 1.31/1.52 (assume @p969 (forall @t87 (=> @t980 (=> @t349 (=> @t433 @t1025))))) % 1.31/1.52 (assume @p970 (forall @t251 (=> @t984 (=> @t434 (=> @t426 @t1025))))) % 1.31/1.52 (assume @p971 (forall @t961 (=> @t984 (=> @t614 (= @t981 @t978))))) % 1.31/1.52 (assume @p972 (forall @t79 (=> @t984 (=> @t614 (= @t979 @t976))))) % 1.31/1.52 (assume @p973 (forall @t1012 (=> @t984 (=> @t989 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t1011 @t116) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t183 @t972)))))) % 1.31/1.52 (assume @p974 (forall @t500 (=> @t984 (=> @t989 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t116 @t1011) (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t972 @t183)))))) % 1.31/1.52 (assume @p975 (forall @t961 (=> @t984 (=> @t617 (= @t981 @t976))))) % 1.31/1.52 (assume @p976 (forall @t79 (=> @t984 (=> @t617 (= @t979 @t978))))) % 1.31/1.52 (assume @p977 (forall (@list @t132 @t92 @t15 @t20 @t13 @t8) (=> (tptp.class_RealVector_Oreal__field @t8) (= (tptp.c_Rings_Oinverse__class_Odivide @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t23 (tptp.hAPP @t428 @t92)) @t132) (tptp.c_Groups_Oplus__class_Oplus @t8 (tptp.hAPP @t22 (tptp.c_Rings_Oinverse__class_Odivide @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t20 @t92) @t132)) (tptp.hAPP (tptp.hAPP @t21 (tptp.c_Rings_Oinverse__class_Odivide @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t13 @t15) @t132)) @t92)))))) % 1.31/1.52 (assume @p978 (forall (@list @t116 @t13 @t114 @t8) (=> @t63 (=> @t946 (= (tptp.c_Divides_Odiv__class_Omod @t9 @t943 @t114) (tptp.c_Groups_Ominus__class_Ominus @t9 @t1027 (tptp.c_Polynomial_Osmult @t8 (tptp.c_Rings_Oinverse__class_Odivide @t8 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t8 @t1027) @t944) @t945) @t114))))))) % 1.31/1.52 (assume @p979 (forall @t334 (=> @t63 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t8 @t116) @t944) (= @t1026 @t116))))) % 1.31/1.52 (assume @p980 (forall @t87 (=> @t1029 (= @t1028 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t13 (tptp.c_Divides_Odiv__class_Omod @t8 @t20 @t15)) @t15))))) % 1.31/1.52 (assume @p981 (forall @t87 (=> @t1029 (= @t1028 (tptp.c_Divides_Odiv__class_Omod @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 (tptp.c_Divides_Odiv__class_Omod @t8 @t13 @t15) @t20) @t15))))) % 1.31/1.52 (assume @p982 (forall @t1033 (=> @t1032 (tptp.class_Groups_Ocancel__comm__monoid__add @t1031)))) % 1.31/1.52 (assume @p983 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p984 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p985 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p986 (forall @t1036 (=> (tptp.class_Lattices_Oboolean__algebra @t1030) (tptp.class_Lattices_Oboolean__algebra @t1035)))) % 1.31/1.52 (assume @p987 (forall @t1036 (=> (tptp.class_Orderings_Opreorder @t1030) (tptp.class_Orderings_Opreorder @t1035)))) % 1.31/1.52 (assume @p988 (forall @t1036 (=> (tptp.class_Orderings_Oorder @t1030) (tptp.class_Orderings_Oorder @t1035)))) % 1.31/1.52 (assume @p989 (forall @t1036 (=> (tptp.class_Orderings_Oord @t1030) (tptp.class_Orderings_Oord @t1035)))) % 1.31/1.52 (assume @p990 (forall @t1036 (=> (tptp.class_Groups_Ouminus @t1030) (tptp.class_Groups_Ouminus @t1035)))) % 1.31/1.52 (assume @p991 (forall @t1036 (=> (tptp.class_Groups_Ominus @t1030) (tptp.class_Groups_Ominus @t1035)))) % 1.31/1.52 (assume @p992 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p993 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p994 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p995 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p996 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p997 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p998 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p999 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1000 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1001 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1002 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1003 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1004 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1005 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1006 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1007 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1008 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1009 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1010 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1011 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1012 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1013 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1014 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1015 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1016 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1017 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1018 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1019 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1020 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1021 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1022 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1023 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1024 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1025 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1026 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1027 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1028 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1029 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1030 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1031 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1032 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1033 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1034 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1035 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1036 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1037 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1038 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1039 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1040 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1041 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1042 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1043 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1044 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1045 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1046 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1047 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1048 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.31/1.52 (assume @p1049 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1050 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1051 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1052 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1053 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1054 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1055 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1056 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1057 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1058 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1059 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1060 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1061 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1062 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1063 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1064 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1065 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1066 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1067 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1068 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1069 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1070 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1071 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1072 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1073 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1074 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1075 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1076 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1077 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1078 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1079 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1080 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1081 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1082 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1083 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1084 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1085 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.31/1.52 (assume @p1086 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.31/1.52 (assume @p1087 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.31/1.52 (assume @p1088 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.31/1.52 (assume @p1089 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.31/1.52 (assume @p1090 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.31/1.52 (assume @p1091 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.31/1.52 (assume @p1092 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1093 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1094 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1095 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1096 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1097 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1098 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1099 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1100 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1101 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1102 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1103 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1104 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1105 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1106 @t1037) % 1.31/1.52 (assume @p1107 @t1038) % 1.31/1.52 (assume @p1108 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1109 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1110 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1111 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1112 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1113 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1114 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1115 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1116 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1117 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1118 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1119 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1120 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1121 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1122 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1123 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1124 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1125 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1126 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1127 @t1039) % 1.31/1.52 (assume @p1128 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1129 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1130 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1131 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (assume @p1132 (forall @t1033 (=> @t1040 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1031)))) % 1.31/1.52 (assume @p1133 (forall @t1033 (=> @t1041 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1031)))) % 1.31/1.52 (assume @p1134 (forall @t1033 (=> @t1041 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1031)))) % 1.31/1.52 (assume @p1135 (forall @t1033 (=> @t1041 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1031)))) % 1.31/1.52 (assume @p1136 (forall @t1033 (=> @t1041 (tptp.class_Rings_Olinordered__semiring__1__strict @t1031)))) % 1.31/1.52 (assume @p1137 (forall @t1033 (=> @t1041 (tptp.class_Rings_Olinordered__semiring__strict @t1031)))) % 1.31/1.52 (assume @p1138 (forall @t1033 (=> @t1041 (tptp.class_Groups_Oordered__ab__semigroup__add @t1031)))) % 1.31/1.52 (assume @p1139 (forall @t1033 (=> @t1041 (tptp.class_Groups_Oordered__comm__monoid__add @t1031)))) % 1.31/1.52 (assume @p1140 (forall @t1033 (=> @t1041 (tptp.class_Groups_Olinordered__ab__group__add @t1031)))) % 1.31/1.52 (assume @p1141 (forall @t1033 (=> @t1032 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1031)))) % 1.31/1.52 (assume @p1142 (forall @t1033 (=> @t1040 (tptp.class_Rings_Oring__1__no__zero__divisors @t1031)))) % 1.31/1.52 (assume @p1143 (forall @t1033 (=> @t1041 (tptp.class_Rings_Oordered__cancel__semiring @t1031)))) % 1.31/1.52 (assume @p1144 (forall @t1033 (=> @t1041 (tptp.class_Rings_Olinordered__ring__strict @t1031)))) % 1.31/1.52 (assume @p1145 (forall @t1033 (=> @t1040 (tptp.class_Rings_Oring__no__zero__divisors @t1031)))) % 1.31/1.52 (assume @p1146 (forall @t1033 (=> @t1041 (tptp.class_Rings_Oordered__comm__semiring @t1031)))) % 1.31/1.52 (assume @p1147 (forall @t1033 (=> @t1041 (tptp.class_Rings_Olinordered__semiring__1 @t1031)))) % 1.31/1.52 (assume @p1148 (forall @t1033 (=> @t1041 (tptp.class_Groups_Oordered__ab__group__add @t1031)))) % 1.31/1.52 (assume @p1149 (forall @t1033 (=> @t1032 (tptp.class_Groups_Ocancel__semigroup__add @t1031)))) % 1.31/1.52 (assume @p1150 (forall @t1033 (=> @t1041 (tptp.class_Rings_Olinordered__semiring @t1031)))) % 1.31/1.52 (assume @p1151 (forall @t1033 (=> @t1041 (tptp.class_Rings_Olinordered__semidom @t1031)))) % 1.31/1.52 (assume @p1152 (forall @t1033 (=> @t1042 (tptp.class_Groups_Oab__semigroup__mult @t1031)))) % 1.31/1.52 (assume @p1153 (forall @t1033 (=> @t1043 (tptp.class_Groups_Ocomm__monoid__mult @t1031)))) % 1.31/1.52 (assume @p1154 (forall @t1033 (=> @t1044 (tptp.class_Groups_Oab__semigroup__add @t1031)))) % 1.31/1.52 (assume @p1155 (forall @t1033 (=> @t1041 (tptp.class_Rings_Oordered__semiring @t1031)))) % 1.31/1.52 (assume @p1156 (forall @t1033 (=> @t1040 (tptp.class_Rings_Ono__zero__divisors @t1031)))) % 1.31/1.52 (assume @p1157 (forall @t1033 (=> @t1044 (tptp.class_Groups_Ocomm__monoid__add @t1031)))) % 1.31/1.52 (assume @p1158 (forall @t1033 (=> @t1041 (tptp.class_Rings_Olinordered__ring @t1031)))) % 1.31/1.52 (assume @p1159 (forall @t1033 (=> @t1041 (tptp.class_Rings_Olinordered__idom @t1031)))) % 1.31/1.52 (assume @p1160 @t1046) % 1.31/1.52 (assume @p1161 (forall @t1033 (=> @t1042 (tptp.class_Rings_Ocomm__semiring__0 @t1031)))) % 1.31/1.52 (assume @p1162 (forall @t1033 (=> @t1042 (tptp.class_Rings_Ocomm__semiring @t1031)))) % 1.31/1.52 (assume @p1163 (forall @t1033 (=> @t1047 (tptp.class_Groups_Oab__group__add @t1031)))) % 1.31/1.52 (assume @p1164 (forall @t1033 (=> @t1043 (tptp.class_Rings_Ozero__neq__one @t1031)))) % 1.31/1.52 (assume @p1165 (forall @t1033 (=> @t1041 (tptp.class_Rings_Oordered__ring @t1031)))) % 1.31/1.52 (assume @p1166 (forall @t1033 (=> @t1041 (tptp.class_Orderings_Opreorder @t1031)))) % 1.31/1.52 (assume @p1167 (forall @t1033 (=> @t1041 (tptp.class_Orderings_Olinorder @t1031)))) % 1.31/1.52 (assume @p1168 (forall @t1033 (=> @t1043 (tptp.class_Groups_Omonoid__mult @t1031)))) % 1.31/1.52 (assume @p1169 (forall @t1033 (=> @t1048 (tptp.class_Rings_Ocomm__ring__1 @t1031)))) % 1.31/1.52 (assume @p1170 (forall @t1033 (=> @t1044 (tptp.class_Groups_Omonoid__add @t1031)))) % 1.31/1.52 (assume @p1171 (forall @t1033 (=> @t1042 (tptp.class_Rings_Osemiring__0 @t1031)))) % 1.31/1.52 (assume @p1172 (forall @t1033 (=> @t1047 (tptp.class_Groups_Ogroup__add @t1031)))) % 1.31/1.52 (assume @p1173 (forall @t1033 (=> (tptp.class_Fields_Ofield @t1030) (tptp.class_Divides_Oring__div @t1031)))) % 1.31/1.52 (assume @p1174 (forall @t1033 (=> @t1042 (tptp.class_Rings_Omult__zero @t1031)))) % 1.31/1.52 (assume @p1175 (forall @t1033 (=> @t1049 (tptp.class_Rings_Ocomm__ring @t1031)))) % 1.31/1.52 (assume @p1176 (forall @t1033 (=> @t1041 (tptp.class_Orderings_Oorder @t1031)))) % 1.31/1.52 (assume @p1177 (forall @t1033 (=> @t1041 (tptp.class_Int_Oring__char__0 @t1031)))) % 1.31/1.52 (assume @p1178 (forall @t1033 (=> @t1042 (tptp.class_Rings_Osemiring @t1031)))) % 1.31/1.52 (assume @p1179 (forall @t1033 (=> @t1041 (tptp.class_Orderings_Oord @t1031)))) % 1.31/1.52 (assume @p1180 (forall @t1033 (=> @t1047 (tptp.class_Groups_Ouminus @t1031)))) % 1.31/1.52 (assume @p1181 (forall @t1033 (=> @t1048 (tptp.class_Rings_Oring__1 @t1031)))) % 1.31/1.52 (assume @p1182 (forall @t1033 (=> @t1047 (tptp.class_Groups_Ominus @t1031)))) % 1.31/1.52 (assume @p1183 (forall @t1033 (=> @t1043 (tptp.class_Power_Opower @t1031)))) % 1.31/1.52 (assume @p1184 (forall @t1033 (=> (tptp.class_Groups_Ozero @t1030) (tptp.class_Groups_Ozero @t1031)))) % 1.31/1.52 (assume @p1185 (forall @t1033 (=> @t1049 (tptp.class_Rings_Oring @t1031)))) % 1.31/1.52 (assume @p1186 (forall @t1033 (=> @t1040 (tptp.class_Rings_Oidom @t1031)))) % 1.31/1.52 (assume @p1187 (forall @t1033 (=> @t1043 (tptp.class_Groups_Oone @t1031)))) % 1.31/1.52 (assume @p1188 (forall @t1033 (=> @t1043 (tptp.class_Rings_Odvd @t1031)))) % 1.31/1.52 (assume @p1189 (forall @t552 (or (not @t1050) @t328))) % 1.31/1.52 (assume @p1190 (forall @t552 (or @t527 @t1050))) % 1.31/1.52 (assume @p1191 @t1055) % 1.31/1.52 (assume @p1192 true) % 1.31/1.52 (step @p1193 :rule bool-impl-elim :args (@t35 @t1056)) % 1.31/1.52 (step @p1194 :rule cong :premises (@p1193) :args ((forall @t37 (=> @t35 @t1056)))) % 1.31/1.52 (step @p1195 :rule eq-symm :args (@t34 @t10)) % 1.31/1.52 (step @p1196 :rule refl :args (@t35)) % 1.31/1.52 (step @p1197 :rule cong :premises (@p1196 @p1195) :args (@t36)) % 1.31/1.52 (step @p1198 :rule cong :premises (@p1197) :args (@t38)) % 1.31/1.52 (step @p1199 :rule trans :premises (@p1198 @p1194)) % 1.31/1.52 (step @p1200 :rule eq_resolve :premises (@p7 @p1199)) % 1.31/1.52 (step @p1201 :rule instantiate :premises (@p1200) :args (@t1057)) % 1.31/1.52 (step @p1202 :rule cnf_or_pos :args (@t1060)) % 1.31/1.52 (step @p1203 :rule reordering :premises (@p1202) :args ((or @t1059 @t1058 (not @t1060)))) % 1.31/1.52 (step @p1204 :rule chain_m_resolution :premises (@p1203 @p1127 @p1201) :args (@t1058 @t1061 (@list @t1039 @t1060))) % 1.31/1.52 (step @p1205 :rule bool-impl-elim :args (@t17 @t1062)) % 1.31/1.52 (step @p1206 :rule cong :premises (@p1205) :args ((forall @t26 (=> @t17 @t1062)))) % 1.31/1.52 (step @p1207 :rule eq-symm :args (@t49 @t10)) % 1.31/1.52 (step @p1208 :rule refl :args (@t17)) % 1.31/1.52 (step @p1209 :rule cong :premises (@p1208 @p1207) :args (@t50)) % 1.31/1.52 (step @p1210 :rule cong :premises (@p1209) :args (@t51)) % 1.31/1.52 (step @p1211 :rule trans :premises (@p1210 @p1206)) % 1.31/1.52 (step @p1212 :rule eq_resolve :premises (@p12 @p1211)) % 1.31/1.52 (step @p1213 :rule instantiate :premises (@p1212) :args ((@list tptp.v_q tptp.tc_Complex_Ocomplex))) % 1.31/1.52 (step @p1214 :rule cnf_or_pos :args (@t1066)) % 1.31/1.52 (step @p1215 :rule reordering :premises (@p1214) :args ((or @t1065 @t1064 (not @t1066)))) % 1.31/1.52 (step @p1216 :rule chain_m_resolution :premises (@p1215 @p1107 @p1213) :args (@t1064 @t1061 (@list @t1038 @t1066))) % 1.31/1.52 (step @p1217 :rule bool-impl-elim :args (@t17 @t129)) % 1.31/1.52 (step @p1218 :rule cong :premises (@p1217) :args (@t130)) % 1.31/1.52 (step @p1219 :rule eq_resolve :premises (@p50 @p1218)) % 1.31/1.52 (step @p1220 :rule instantiate :premises (@p1219) :args ((@list @t229 tptp.v_a tptp.v_q tptp.tc_Complex_Ocomplex))) % 1.31/1.52 (step @p1221 :rule cnf_or_pos :args (@t1068)) % 1.31/1.52 (step @p1222 :rule reordering :premises (@p1221) :args ((or @t1065 @t1067 (not @t1068)))) % 1.31/1.52 (step @p1223 :rule chain_m_resolution :premises (@p1222 @p1107 @p1220) :args (@t1067 @t1061 (@list @t1038 @t1068))) % 1.31/1.52 (step @p1224 :rule bool-impl-elim :args (@t55 @t1069)) % 1.31/1.52 (step @p1225 :rule cong :premises (@p1224) :args ((forall @t52 (=> @t55 @t1069)))) % 1.31/1.52 (step @p1226 :rule eq-symm :args (@t150 @t13)) % 1.31/1.52 (step @p1227 :rule refl :args (@t55)) % 1.31/1.52 (step @p1228 :rule cong :premises (@p1227 @p1226) :args (@t152)) % 1.31/1.52 (step @p1229 :rule cong :premises (@p1228) :args (@t153)) % 1.31/1.52 (step @p1230 :rule trans :premises (@p1229 @p1225)) % 1.31/1.52 (step @p1231 :rule eq_resolve :premises (@p61 @p1230)) % 1.31/1.52 (step @p1232 :rule instantiate :premises (@p1231) :args ((@list @t1053 @t7))) % 1.31/1.52 (step @p1233 :rule bool-impl-elim :args (@t1043 @t1045)) % 1.31/1.52 (step @p1234 :rule cong :premises (@p1233) :args (@t1046)) % 1.31/1.52 (step @p1235 :rule eq_resolve :premises (@p1160 @p1234)) % 1.31/1.52 (step @p1236 :rule instantiate :premises (@p1235) :args (@t1057)) % 1.31/1.52 (step @p1237 :rule cnf_or_pos :args (@t1072)) % 1.31/1.52 (step @p1238 :rule reordering :premises (@p1237) :args ((or @t1071 @t1070 (not @t1072)))) % 1.31/1.52 (step @p1239 :rule chain_m_resolution :premises (@p1238 @p1106 @p1236) :args (@t1070 @t1061 (@list @t1037 @t1072))) % 1.31/1.52 (step @p1240 :rule cnf_or_pos :args (@t1076)) % 1.31/1.52 (step @p1241 :rule reordering :premises (@p1240) :args ((or @t1075 @t1074 (not @t1076)))) % 1.31/1.52 (step @p1242 :rule chain_m_resolution :premises (@p1241 @p1239 @p1232) :args (@t1074 @t1061 (@list @t1070 @t1076))) % 1.31/1.52 (step @p1243 :rule refl :args (@t1077)) % 1.31/1.52 (step @p1244 :rule refl :args (@t1078)) % 1.31/1.52 (step @p1245 :rule refl :args (@t1079)) % 1.31/1.52 (step @p1246 :rule refl :args (@t1080)) % 1.31/1.52 (step @p1247 :rule bool-double-not-elim :args (@t1054)) % 1.31/1.52 (step @p1248 :rule nary_cong :premises (@p1247 @p1246 @p1245 @p1244 @p1243) :args ((or (not @t1055) @t1080 @t1079 @t1078 @t1077))) % 1.31/1.52 (assume-push @p1292 @t1074) % 1.31/1.52 (assume-push @p1293 @t1077) % 1.31/1.52 (step @p1251 :rule evaluate :args ((= false true))) % 1.31/1.52 (step @p1252 :rule true_intro :premises (@p1242)) % 1.31/1.52 (step @p1253 :rule false_intro :premises (@p1191)) % 1.31/1.52 (step @p1254 :rule symm :premises (@p1223)) % 1.31/1.52 (step @p1255 :rule refl :args (@t58)) % 1.31/1.52 (step @p1256 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (step @p1257 :rule cong :premises (@p1256 @p1255 @p1216) :args (@t232)) % 1.31/1.52 (step @p1258 :rule symm :premises (@p1216)) % 1.31/1.52 (step @p1259 :rule trans :premises (@p1258 @p1204 @p1257)) % 1.31/1.52 (step @p1260 :rule refl :args (@t1053)) % 1.31/1.52 (step @p1261 :rule refl :args (@t7)) % 1.31/1.52 (step @p1262 :rule cong :premises (@p1261 @p1260 @p1259) :args (@t1081)) % 1.31/1.52 (step @p1263 :rule cong :premises (@p1261 @p1260 @p1216) :args (@t1073)) % 1.31/1.52 (step @p1264 :rule trans :premises (@p1263 @p1262 @p1254)) % 1.31/1.52 (step @p1265 :rule cong :premises (@p1260 @p1264) :args (@t1074)) % 1.31/1.52 (step @p1266 :rule trans :premises (@p1265 @p1253)) % 1.31/1.52 (step @p1267 :rule symm :premises (@p1266)) % 1.31/1.52 (step @p1268 :rule trans :premises (@p1267 @p1252)) % 1.31/1.52 (step @p1269 false :rule eq_resolve :premises (@p1268 @p1251)) % 1.31/1.52 (step-pop @p1294 :rule scope :premises (@p1269)) % 1.31/1.52 (step-pop @p1295 :rule scope :premises (@p1294)) % 1.31/1.52 (step @p1270 :rule process_scope :premises (@p1295) :args (false)) % 1.31/1.52 (assume-push @p1296 @t1055) % 1.31/1.52 (assume-push @p1297 @t1058) % 1.31/1.52 (assume-push @p1298 @t1064) % 1.31/1.52 (assume-push @p1299 @t1067) % 1.31/1.52 (assume-push @p1300 @t1074) % 1.31/1.52 (step @p1253 :rule false_intro :premises (@p1191)) % 1.31/1.52 (step @p1254 :rule symm :premises (@p1223)) % 1.31/1.52 (step @p1255 :rule refl :args (@t58)) % 1.31/1.52 (step @p1256 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 1.31/1.52 (step @p1257 :rule cong :premises (@p1256 @p1255 @p1216) :args (@t232)) % 1.31/1.52 (step @p1258 :rule symm :premises (@p1216)) % 1.31/1.52 (step @p1259 :rule trans :premises (@p1258 @p1204 @p1257)) % 1.31/1.52 (step @p1260 :rule refl :args (@t1053)) % 1.31/1.52 (step @p1261 :rule refl :args (@t7)) % 1.31/1.52 (step @p1262 :rule cong :premises (@p1261 @p1260 @p1259) :args (@t1081)) % 1.31/1.52 (step @p1263 :rule cong :premises (@p1261 @p1260 @p1216) :args (@t1073)) % 1.31/1.52 (step @p1264 :rule trans :premises (@p1263 @p1262 @p1254)) % 1.31/1.52 (step @p1265 :rule cong :premises (@p1260 @p1264) :args (@t1074)) % 1.31/1.52 (step @p1278 :rule trans :premises (@p1265 @p1253)) % 1.31/1.52 (step @p1279 :rule false_elim :premises (@p1278)) % 1.31/1.52 (step @p1280 :rule and_intro :premises (@p1242 @p1279)) % 1.31/1.52 (step-pop @p1301 :rule scope :premises (@p1280)) % 1.31/1.52 (step-pop @p1302 :rule scope :premises (@p1301)) % 1.31/1.52 (step-pop @p1303 :rule scope :premises (@p1302)) % 1.31/1.52 (step-pop @p1304 :rule scope :premises (@p1303)) % 1.31/1.52 (step-pop @p1305 :rule scope :premises (@p1304)) % 1.31/1.52 (step @p1281 :rule process_scope :premises (@p1305) :args (@t1082)) % 1.31/1.52 (step @p1287 :rule implies_elim :premises (@p1281)) % 1.31/1.52 (step @p1288 :rule resolution :premises (@p1287 @p1270) :args (true @t1082)) % 1.31/1.52 (step @p1289 :rule not_and :premises (@p1288)) % 1.31/1.52 (step @p1290 :rule eq_resolve :premises (@p1289 @p1248)) % 1.31/1.52 (step @p1291 false :rule chain_m_resolution :premises (@p1290 @p1242 @p1223 @p1216 @p1204 @p1191) :args (false (@list false false false false true) (@list @t1074 @t1067 @t1064 @t1058 @t1054))) % 1.31/1.52 ) % 1.31/1.52 % SZS output end Proof % 1.31/1.52 % cvc5 exiting %------------------------------------------------------------------------------