%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW278+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:39 AM UTC 2026 % Result : Theorem 2.13s 2.38s % Output : Proof 2.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.13 % Problem : SWW278+1 : TPTP v9.2.1. Released v5.2.0. % 0.13/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.18/0.35 % Computer : n023.cluster.edu % 0.18/0.35 % Model : x86_64 x86_64 % 0.18/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.35 % Memory : 8042.1875MB % 0.18/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.35 % CPULimit : 300 % 0.18/0.35 % WCLimit : 300 % 0.18/0.35 % DateTime : Tue Jun 2 21:43:58 EDT 2026 % 0.18/0.35 % CPUTime : % 0.46/0.74 %----Proving TF0_NAR, FOF, or CNF % 2.13/2.38 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 2.13/2.38 % SZS status Theorem % 2.13/2.38 % SZS output start Proof % 2.13/2.38 ( % 2.13/2.38 (declare-sort $$unsorted 0) % 2.13/2.38 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.v_r____ $$unsorted) % 2.13/2.38 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 2.13/2.38 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Orderings_Oorder_Omono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_n $$unsorted) % 2.13/2.38 (declare-const tptp.v_na____ $$unsorted) % 2.13/2.38 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.v_q $$unsorted) % 2.13/2.38 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.v_s____ $$unsorted) % 2.13/2.38 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_a____ $$unsorted) % 2.13/2.38 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.v_x____ $$unsorted) % 2.13/2.38 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.v_qa____ $$unsorted) % 2.13/2.38 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_pa____ $$unsorted) % 2.13/2.38 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.v_p $$unsorted) % 2.13/2.38 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.tc_HOL_Obool $$unsorted) % 2.13/2.38 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.tc_Nat_Onat $$unsorted) % 2.13/2.38 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.tc_Int_Oint $$unsorted) % 2.13/2.38 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 2.13/2.38 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 2.13/2.38 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 2.13/2.38 (define @t1 () (@var "V_g_2" $$unsorted)) % 2.13/2.38 (define @t2 () (@var "V_f_2" $$unsorted)) % 2.13/2.38 (define @t3 () (@var "B_x" $$unsorted)) % 2.13/2.38 (define @t4 () (tptp.hAPP @t1 @t3)) % 2.13/2.38 (define @t5 () (tptp.hAPP @t2 @t3)) % 2.13/2.38 (define @t6 () (@list @t3)) % 2.13/2.38 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 2.13/2.38 (define @t8 () (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_s____) tptp.v_x____)) % 2.13/2.38 (define @t9 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 2.13/2.38 (define @t10 () (@var "T_a" $$unsorted)) % 2.13/2.38 (define @t11 () (tptp.c_Groups_Ozero__class_Ozero @t10)) % 2.13/2.38 (define @t12 () (@var "V_x" $$unsorted)) % 2.13/2.38 (define @t13 () (tptp.tc_Polynomial_Opoly @t10)) % 2.13/2.38 (define @t14 () (tptp.c_Groups_Ozero__class_Ozero @t13)) % 2.13/2.38 (define @t15 () (tptp.c_Polynomial_Opoly @t10 @t14)) % 2.13/2.38 (define @t16 () (tptp.class_Rings_Ocomm__semiring__0 @t10)) % 2.13/2.38 (define @t17 () (@list @t12 @t10)) % 2.13/2.38 (define @t18 () (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) % 2.13/2.38 (define @t19 () (tptp.c_Groups_Ozero__class_Ozero @t18)) % 2.13/2.38 (define @t20 () (@var "V_qb_2" $$unsorted)) % 2.13/2.38 (define @t21 () (@var "V_pb_2" $$unsorted)) % 2.13/2.38 (define @t22 () (= @t21 @t20)) % 2.13/2.38 (define @t23 () (tptp.c_Polynomial_Opoly @t10 @t21)) % 2.13/2.38 (define @t24 () (tptp.class_Rings_Oidom @t10)) % 2.13/2.38 (define @t25 () (and (tptp.class_Int_Oring__char__0 @t10) @t24)) % 2.13/2.38 (define @t26 () (@list @t20 @t21 @t10)) % 2.13/2.38 (define @t27 () (@var "V_xa_2" $$unsorted)) % 2.13/2.38 (define @t28 () (= @t27 @t11)) % 2.13/2.38 (define @t29 () (tptp.class_Groups_Ozero @t10)) % 2.13/2.38 (define @t30 () (@list @t27 @t10)) % 2.13/2.38 (define @t31 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 2.13/2.38 (define @t32 () (@var "V_aa_2" $$unsorted)) % 2.13/2.38 (define @t33 () (= @t21 @t14)) % 2.13/2.38 (define @t34 () (@var "B_z" $$unsorted)) % 2.13/2.38 (define @t35 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t21)) % 2.13/2.38 (define @t36 () (@list @t34)) % 2.13/2.38 (define @t37 () (tptp.c_Polynomial_Oorder tptp.tc_Complex_Ocomplex tptp.v_a____ tptp.v_pa____)) % 2.13/2.38 (define @t38 () (@var "V_q" $$unsorted)) % 2.13/2.38 (define @t39 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t10 @t38) @t12)) % 2.13/2.38 (define @t40 () (@var "V_p" $$unsorted)) % 2.13/2.38 (define @t41 () (tptp.c_Polynomial_Opoly @t10 @t40)) % 2.13/2.38 (define @t42 () (tptp.c_Polynomial_Opcompose @t10 @t40 @t38)) % 2.13/2.38 (define @t43 () (@list @t12 @t38 @t40 @t10)) % 2.13/2.38 (define @t44 () (= tptp.v_qa____ @t19)) % 2.13/2.38 (define @t45 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_s____)) % 2.13/2.38 (define @t46 () (= @t45 @t31)) % 2.13/2.38 (define @t47 () (@list @t10)) % 2.13/2.38 (define @t48 () (@list @t38 @t10)) % 2.13/2.38 (define @t49 () (@list @t21 @t10)) % 2.13/2.38 (define @t50 () (@var "B_y" $$unsorted)) % 2.13/2.38 (define @t51 () (@var "T_b" $$unsorted)) % 2.13/2.38 (define @t52 () (@var "V_a" $$unsorted)) % 2.13/2.38 (define @t53 () (@list @t52)) % 2.13/2.38 (define @t54 () (tptp.c_Power_Opower__class_Opower @t18)) % 2.13/2.38 (define @t55 () (tptp.c_Rings_Odvd__class_Odvd @t18)) % 2.13/2.38 (define @t56 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 tptp.v_pa____) (tptp.hAPP (tptp.hAPP @t54 tptp.v_qa____) tptp.v_na____)))) % 2.13/2.38 (define @t57 () (tptp.c_Polynomial_Odegree @t10 @t21)) % 2.13/2.38 (define @t58 () (@var "V_c_2" $$unsorted)) % 2.13/2.38 (define @t59 () (@list @t58 @t21 @t10)) % 2.13/2.38 (define @t60 () (@var "V_z_2" $$unsorted)) % 2.13/2.38 (define @t61 () (tptp.tc_Polynomial_Opoly @t51)) % 2.13/2.38 (define @t62 () (tptp.c_Groups_Ozero__class_Ozero @t61)) % 2.13/2.38 (define @t63 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t51)) @t62) @t60) @t60)) % 2.13/2.38 (define @t64 () (tptp.class_Groups_Ozero @t51)) % 2.13/2.38 (define @t65 () (tptp.c_Polynomial_Odegree @t10 @t40)) % 2.13/2.38 (define @t66 () (tptp.c_Polynomial_Oorder @t10 @t52 @t40)) % 2.13/2.38 (define @t67 () (= @t40 @t14)) % 2.13/2.38 (define @t68 () (not @t67)) % 2.13/2.38 (define @t69 () (@list @t52 @t40 @t10)) % 2.13/2.38 (define @t70 () (tptp.c_Polynomial_Ocoeff @t10 @t21)) % 2.13/2.38 (define @t71 () (tptp.hAPP @t70 @t57)) % 2.13/2.38 (define @t72 () (tptp.c_Polynomial_Ocoeff @t10 @t40)) % 2.13/2.38 (define @t73 () (tptp.hAPP @t72 @t65)) % 2.13/2.38 (define @t74 () (@list @t40 @t10)) % 2.13/2.38 (define @t75 () (tptp.c_Polynomial_Osmult @t10 @t52 @t40)) % 2.13/2.38 (define @t76 () (tptp.c_Polynomial_Odegree @t10 @t75)) % 2.13/2.38 (define @t77 () (= @t52 @t11)) % 2.13/2.38 (define @t78 () (not @t77)) % 2.13/2.38 (define @t79 () (@list @t40 @t52 @t10)) % 2.13/2.38 (define @t80 () (tptp.c_Polynomial_OpCons @t10 @t52 @t14)) % 2.13/2.38 (define @t81 () (@list @t52 @t10)) % 2.13/2.38 (define @t82 () (@var "B_m" $$unsorted)) % 2.13/2.38 (define @t83 () (@var "B_q" $$unsorted)) % 2.13/2.38 (define @t84 () (@var "B_p" $$unsorted)) % 2.13/2.38 (define @t85 () (@list @t82)) % 2.13/2.38 (define @t86 () (@var "B_n" $$unsorted)) % 2.13/2.38 (define @t87 () (@list @t86)) % 2.13/2.38 (define @t88 () (@var "V_y_2" $$unsorted)) % 2.13/2.38 (define @t89 () (= @t27 @t88)) % 2.13/2.38 (define @t90 () (@list @t88 @t27 @t10)) % 2.13/2.38 (define @t91 () (@var "V_b_2" $$unsorted)) % 2.13/2.38 (define @t92 () (= @t32 @t91)) % 2.13/2.38 (define @t93 () (tptp.c_Polynomial_OpCons @t10 @t32 @t21)) % 2.13/2.38 (define @t94 () (tptp.c_Polynomial_Osmult @t10 @t52 @t38)) % 2.13/2.38 (define @t95 () (tptp.c_Rings_Odvd__class_Odvd @t13)) % 2.13/2.38 (define @t96 () (tptp.hAPP @t95 @t40)) % 2.13/2.38 (define @t97 () (tptp.hBOOL (tptp.hAPP @t96 @t94))) % 2.13/2.38 (define @t98 () (tptp.hBOOL (tptp.hAPP @t96 @t38))) % 2.13/2.38 (define @t99 () (tptp.class_Rings_Ocomm__semiring__1 @t10)) % 2.13/2.38 (define @t100 () (@list @t52 @t38 @t40 @t10)) % 2.13/2.38 (define @t101 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t95 @t75) @t38))) % 2.13/2.38 (define @t102 () (@list @t38 @t40 @t52 @t10)) % 2.13/2.38 (define @t103 () (tptp.class_Fields_Ofield @t10)) % 2.13/2.38 (define @t104 () (@list @t38 @t52 @t40 @t10)) % 2.13/2.38 (define @t105 () (tptp.hAPP @t95 @t21)) % 2.13/2.38 (define @t106 () (tptp.hBOOL (tptp.hAPP @t105 @t20))) % 2.13/2.38 (define @t107 () (= @t32 @t11)) % 2.13/2.38 (define @t108 () (not @t107)) % 2.13/2.38 (define @t109 () (@list @t20 @t21 @t32 @t10)) % 2.13/2.38 (define @t110 () (tptp.c_Polynomial_OpCons @t10 @t52 @t40)) % 2.13/2.38 (define @t111 () (tptp.c_Polynomial_Ocoeff @t10 @t110)) % 2.13/2.38 (define @t112 () (@var "V_c" $$unsorted)) % 2.13/2.38 (define @t113 () (tptp.c_Polynomial_Osmult @t10 @t112 @t40)) % 2.13/2.38 (define @t114 () (@list @t52 @t40 @t112 @t10)) % 2.13/2.38 (define @t115 () (tptp.c_Polynomial_Odegree @t10 @t38)) % 2.13/2.38 (define @t116 () (tptp.c_Polynomial_Ocoeff @t10 @t38)) % 2.13/2.38 (define @t117 () (tptp.hAPP @t116 @t115)) % 2.13/2.38 (define @t118 () (@list @t38 @t40 @t10)) % 2.13/2.38 (define @t119 () (@var "V_n" $$unsorted)) % 2.13/2.38 (define @t120 () (tptp.hAPP @t41 @t12)) % 2.13/2.38 (define @t121 () (tptp.c_Power_Opower__class_Opower @t10)) % 2.13/2.38 (define @t122 () (tptp.c_Power_Opower__class_Opower @t13)) % 2.13/2.38 (define @t123 () (tptp.hAPP (tptp.hAPP @t122 @t40) @t119)) % 2.13/2.38 (define @t124 () (tptp.c_Polynomial_Opoly__rec @t10 @t51 @t60 @t2 @t21)) % 2.13/2.38 (define @t125 () (tptp.hAPP (tptp.hAPP @t2 @t32) @t21)) % 2.13/2.38 (define @t126 () (tptp.c_Polynomial_Opoly__rec @t10 @t51 @t60 @t2 (tptp.c_Polynomial_OpCons @t51 @t32 @t21))) % 2.13/2.38 (define @t127 () (tptp.c_Polynomial_Osynthetic__div @t10 @t40 @t112)) % 2.13/2.38 (define @t128 () (tptp.hAPP @t41 @t112)) % 2.13/2.38 (define @t129 () (tptp.c_Polynomial_OpCons @t10 @t128 @t127)) % 2.13/2.38 (define @t130 () (= @t20 @t14)) % 2.13/2.38 (define @t131 () (tptp.c_Polynomial_Osmult @t10 @t32 @t21)) % 2.13/2.38 (define @t132 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t119)) % 2.13/2.38 (define @t133 () (tptp.hAPP @t72 @t119)) % 2.13/2.38 (define @t134 () (= @t133 @t11)) % 2.13/2.38 (define @t135 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t65 @t119)) % 2.13/2.38 (define @t136 () (@list @t119 @t40 @t10)) % 2.13/2.38 (define @t137 () (not (= @t38 @t14))) % 2.13/2.38 (define @t138 () (@list @t21 @t32 @t10)) % 2.13/2.38 (define @t139 () (@list @t119 @t10)) % 2.13/2.38 (define @t140 () (@var "V_b" $$unsorted)) % 2.13/2.38 (define @t141 () (tptp.hAPP @t121 @t140)) % 2.13/2.38 (define @t142 () (tptp.hAPP @t141 @t119)) % 2.13/2.38 (define @t143 () (tptp.hAPP @t121 @t52)) % 2.13/2.38 (define @t144 () (tptp.hAPP @t143 @t119)) % 2.13/2.38 (define @t145 () (tptp.c_Orderings_Oord__class_Oless @t10 @t144 @t142)) % 2.13/2.38 (define @t146 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t119)) % 2.13/2.38 (define @t147 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t52)) % 2.13/2.38 (define @t148 () (tptp.c_Orderings_Oord__class_Oless @t10 @t52 @t140)) % 2.13/2.38 (define @t149 () (tptp.class_Rings_Olinordered__semidom @t10)) % 2.13/2.38 (define @t150 () (@list @t119 @t140 @t52 @t10)) % 2.13/2.38 (define @t151 () (@list @t119)) % 2.13/2.38 (define @t152 () (= @t52 @t140)) % 2.13/2.38 (define @t153 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t140)) % 2.13/2.38 (define @t154 () (@list @t140 @t119 @t52 @t10)) % 2.13/2.38 (define @t155 () (tptp.c_Rings_Odvd__class_Odvd @t10)) % 2.13/2.38 (define @t156 () (tptp.hAPP @t155 @t52)) % 2.13/2.38 (define @t157 () (@var "V_m" $$unsorted)) % 2.13/2.38 (define @t158 () (tptp.hAPP @t143 @t157)) % 2.13/2.38 (define @t159 () (tptp.hAPP @t155 @t158)) % 2.13/2.38 (define @t160 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157 @t119)) % 2.13/2.38 (define @t161 () (@var "V_y" $$unsorted)) % 2.13/2.38 (define @t162 () (tptp.hAPP @t121 @t161)) % 2.13/2.38 (define @t163 () (tptp.hAPP @t121 @t12)) % 2.13/2.38 (define @t164 () (tptp.hAPP @t163 @t119)) % 2.13/2.38 (define @t165 () (tptp.hAPP @t155 @t164)) % 2.13/2.38 (define @t166 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t119 @t157)) % 2.13/2.38 (define @t167 () (tptp.hAPP @t155 @t12)) % 2.13/2.38 (define @t168 () (tptp.hBOOL (tptp.hAPP @t167 @t161))) % 2.13/2.38 (define @t169 () (@list @t52 @t119 @t157 @t10)) % 2.13/2.38 (define @t170 () (@var "V_nb_2" $$unsorted)) % 2.13/2.38 (define @t171 () (= @t170 @t31)) % 2.13/2.38 (define @t172 () (not @t171)) % 2.13/2.38 (define @t173 () (tptp.hAPP @t121 @t32)) % 2.13/2.38 (define @t174 () (tptp.hAPP @t173 @t170)) % 2.13/2.38 (define @t175 () (tptp.class_Rings_Ozero__neq__one @t10)) % 2.13/2.38 (define @t176 () (tptp.class_Rings_Ono__zero__divisors @t10)) % 2.13/2.38 (define @t177 () (tptp.class_Rings_Omult__zero @t10)) % 2.13/2.38 (define @t178 () (tptp.class_Power_Opower @t10)) % 2.13/2.38 (define @t179 () (@list @t170 @t32 @t10)) % 2.13/2.38 (define @t180 () (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t52)) % 2.13/2.38 (define @t181 () (@list @t119 @t52 @t10)) % 2.13/2.38 (define @t182 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 @t119)) % 2.13/2.38 (define @t183 () (@var "V_i" $$unsorted)) % 2.13/2.38 (define @t184 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 2.13/2.38 (define @t185 () (tptp.hAPP @t184 @t183)) % 2.13/2.38 (define @t186 () (tptp.hAPP @t185 @t119)) % 2.13/2.38 (define @t187 () (tptp.hAPP @t185 @t157)) % 2.13/2.38 (define @t188 () (@list @t119 @t157 @t183)) % 2.13/2.38 (define @t189 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t27)) % 2.13/2.38 (define @t190 () (tptp.hAPP @t184 @t27)) % 2.13/2.38 (define @t191 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 (tptp.hAPP @t190 @t170))) % 2.13/2.38 (define @t192 () (@list @t170 @t27)) % 2.13/2.38 (define @t193 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 2.13/2.38 (define @t194 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t119) @t157))) % 2.13/2.38 (define @t195 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t157)) % 2.13/2.38 (define @t196 () (@list @t119 @t157)) % 2.13/2.38 (define @t197 () (@var "V_k" $$unsorted)) % 2.13/2.38 (define @t198 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t197 @t119)) % 2.13/2.38 (define @t199 () (tptp.c_Orderings_Oord__class_Oless @t10 @t161 @t12)) % 2.13/2.38 (define @t200 () (tptp.c_Orderings_Oord__class_Oless @t10 @t12 @t161)) % 2.13/2.38 (define @t201 () (not @t200)) % 2.13/2.38 (define @t202 () (= @t12 @t161)) % 2.13/2.38 (define @t203 () (not @t202)) % 2.13/2.38 (define @t204 () (=> @t203 (=> @t201 @t199))) % 2.13/2.38 (define @t205 () (tptp.class_Rings_Olinordered__idom @t10)) % 2.13/2.38 (define @t206 () (@list @t161 @t12 @t10)) % 2.13/2.38 (define @t207 () (tptp.hBOOL (tptp.hAPP @t156 @t112))) % 2.13/2.38 (define @t208 () (tptp.hAPP @t155 @t140)) % 2.13/2.38 (define @t209 () (tptp.hBOOL (tptp.hAPP @t208 @t112))) % 2.13/2.38 (define @t210 () (=> @t209 @t207)) % 2.13/2.38 (define @t211 () (tptp.hBOOL (tptp.hAPP @t156 @t140))) % 2.13/2.38 (define @t212 () (=> @t211 @t210)) % 2.13/2.38 (define @t213 () (@list @t112 @t140 @t52 @t10)) % 2.13/2.38 (define @t214 () (forall @t213 (=> @t99 @t212))) % 2.13/2.38 (define @t215 () (@var "V_m_2" $$unsorted)) % 2.13/2.38 (define @t216 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t170 @t215)) % 2.13/2.38 (define @t217 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t215 @t170)) % 2.13/2.38 (define @t218 () (= @t215 @t170)) % 2.13/2.38 (define @t219 () (not @t218)) % 2.13/2.38 (define @t220 () (@list @t170 @t215)) % 2.13/2.38 (define @t221 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t161)) % 2.13/2.38 (define @t222 () (@list @t161 @t12)) % 2.13/2.38 (define @t223 () (= @t157 @t119)) % 2.13/2.38 (define @t224 () (not @t223)) % 2.13/2.38 (define @t225 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119 @t157)) % 2.13/2.38 (define @t226 () (@list @t157 @t119)) % 2.13/2.38 (define @t227 () (@var "V_t" $$unsorted)) % 2.13/2.38 (define @t228 () (@var "V_s" $$unsorted)) % 2.13/2.38 (define @t229 () (@var "V_P_2" $$unsorted)) % 2.13/2.38 (define @t230 () (tptp.hAPP @t229 @t170)) % 2.13/2.38 (define @t231 () (tptp.hBOOL (tptp.hAPP @t230 @t215))) % 2.13/2.38 (define @t232 () (@var "V_j" $$unsorted)) % 2.13/2.38 (define @t233 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t183 @t232)) % 2.13/2.38 (define @t234 () (@list @t197 @t232 @t183)) % 2.13/2.38 (define @t235 () (tptp.class_Rings_Oring__1__no__zero__divisors @t10)) % 2.13/2.38 (define @t236 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t170)) % 2.13/2.38 (define @t237 () (@list @t170)) % 2.13/2.38 (define @t238 () (= @t119 @t31)) % 2.13/2.38 (define @t239 () (not @t238)) % 2.13/2.38 (define @t240 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t215 @t170)) % 2.13/2.38 (define @t241 () (or @t217 @t218)) % 2.13/2.38 (define @t242 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t52 @t140)) % 2.13/2.38 (define @t243 () (tptp.class_Orderings_Opreorder @t10)) % 2.13/2.38 (define @t244 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t12 @t161)) % 2.13/2.38 (define @t245 () (tptp.c_Polynomial_Opos__poly @t10 @t21)) % 2.13/2.38 (define @t246 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex) @t19)) % 2.13/2.38 (define @t247 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex tptp.v_a____) @t246)) % 2.13/2.38 (define @t248 () (tptp.hAPP @t54 @t247)) % 2.13/2.38 (define @t249 () (tptp.hAPP @t248 @t37)) % 2.13/2.38 (define @t250 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t157) @t119))) % 2.13/2.38 (define @t251 () (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t32)) % 2.13/2.38 (define @t252 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t88 @t27)) % 2.13/2.38 (define @t253 () (tptp.c_Orderings_Oord__class_Oless @t10 @t27 @t88)) % 2.13/2.38 (define @t254 () (not @t253)) % 2.13/2.38 (define @t255 () (tptp.class_Orderings_Olinorder @t10)) % 2.13/2.38 (define @t256 () (tptp.c_Orderings_Oord__class_Oless @t10 @t88 @t27)) % 2.13/2.38 (define @t257 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t27 @t88)) % 2.13/2.38 (define @t258 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t12 @t161)) % 2.13/2.38 (define @t259 () (tptp.hAPP @t193 @t12)) % 2.13/2.38 (define @t260 () (@list @t12)) % 2.13/2.38 (define @t261 () (tptp.c_Groups_Otimes__class_Otimes @t18)) % 2.13/2.38 (define @t262 () (tptp.hAPP @t261 @t249)) % 2.13/2.38 (define @t263 () (tptp.hAPP @t262 tptp.v_s____)) % 2.13/2.38 (define @t264 () (tptp.hBOOL (tptp.hAPP @t259 @t161))) % 2.13/2.38 (define @t265 () (tptp.hAPP @t193 @t161)) % 2.13/2.38 (define @t266 () (tptp.hBOOL (tptp.hAPP @t265 @t12))) % 2.13/2.38 (define @t267 () (and @t264 (not @t266))) % 2.13/2.38 (define @t268 () (@var "V_z" $$unsorted)) % 2.13/2.38 (define @t269 () (tptp.hAPP @t193 @t268)) % 2.13/2.38 (define @t270 () (tptp.hBOOL (tptp.hAPP @t259 @t268))) % 2.13/2.38 (define @t271 () (and @t270 (not (tptp.hBOOL (tptp.hAPP @t269 @t12))))) % 2.13/2.38 (define @t272 () (tptp.hBOOL (tptp.hAPP @t265 @t268))) % 2.13/2.38 (define @t273 () (=> (and @t272 (not (tptp.hBOOL (tptp.hAPP @t269 @t161)))) @t271)) % 2.13/2.38 (define @t274 () (@list @t268 @t161 @t12)) % 2.13/2.38 (define @t275 () (tptp.hAPP @t193 @t52)) % 2.13/2.38 (define @t276 () (tptp.hBOOL (tptp.hAPP @t275 @t140))) % 2.13/2.38 (define @t277 () (tptp.hAPP @t193 @t140)) % 2.13/2.38 (define @t278 () (tptp.hBOOL (tptp.hAPP @t277 @t52))) % 2.13/2.38 (define @t279 () (and @t276 (not @t278))) % 2.13/2.38 (define @t280 () (@list @t140 @t52)) % 2.13/2.38 (define @t281 () (tptp.hAPP @t193 @t112)) % 2.13/2.38 (define @t282 () (tptp.hBOOL (tptp.hAPP @t275 @t112))) % 2.13/2.38 (define @t283 () (and @t282 (not (tptp.hBOOL (tptp.hAPP @t281 @t52))))) % 2.13/2.38 (define @t284 () (= @t140 @t112)) % 2.13/2.38 (define @t285 () (@list @t112 @t140 @t52)) % 2.13/2.38 (define @t286 () (not (= @t161 @t12))) % 2.13/2.38 (define @t287 () (tptp.hBOOL (tptp.hAPP @t277 @t112))) % 2.13/2.38 (define @t288 () (not @t152)) % 2.13/2.38 (define @t289 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t27) @t88))) % 2.13/2.38 (define @t290 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t88) @t27))) % 2.13/2.38 (define @t291 () (not @t89)) % 2.13/2.38 (define @t292 () (and @t289 (not @t290))) % 2.13/2.38 (define @t293 () (@list @t88 @t27)) % 2.13/2.38 (define @t294 () (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t52)) % 2.13/2.38 (define @t295 () (tptp.class_Groups_Ogroup__add @t10)) % 2.13/2.38 (define @t296 () (tptp.c_Groups_Oone__class_Oone @t10)) % 2.13/2.38 (define @t297 () (= @t27 @t296)) % 2.13/2.38 (define @t298 () (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t32)) % 2.13/2.38 (define @t299 () (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t91)) % 2.13/2.38 (define @t300 () (= @t32 @t299)) % 2.13/2.38 (define @t301 () (@list @t91 @t32 @t10)) % 2.13/2.38 (define @t302 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t40)) % 2.13/2.38 (define @t303 () (tptp.class_Groups_Oab__group__add @t10)) % 2.13/2.38 (define @t304 () (tptp.class_Rings_Ocomm__ring @t10)) % 2.13/2.38 (define @t305 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t75)) % 2.13/2.38 (define @t306 () (tptp.c_Groups_Oone__class_Oone @t13)) % 2.13/2.38 (define @t307 () (tptp.c_Polynomial_OpCons @t10 @t296 @t14)) % 2.13/2.38 (define @t308 () (@list @t32 @t10)) % 2.13/2.38 (define @t309 () (tptp.class_Groups_Olinordered__ab__group__add @t10)) % 2.13/2.38 (define @t310 () (tptp.class_Groups_Oordered__ab__group__add @t10)) % 2.13/2.38 (define @t311 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t32 @t91)) % 2.13/2.38 (define @t312 () (@list @t32 @t91 @t10)) % 2.13/2.38 (define @t313 () (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t140)) % 2.13/2.38 (define @t314 () (@list @t140 @t52 @t10)) % 2.13/2.38 (define @t315 () (tptp.c_Orderings_Oord__class_Oless @t10 @t32 @t91)) % 2.13/2.38 (define @t316 () (tptp.hAPP @t155 @t27)) % 2.13/2.38 (define @t317 () (tptp.hBOOL (tptp.hAPP @t316 @t88))) % 2.13/2.38 (define @t318 () (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t27)) % 2.13/2.38 (define @t319 () (tptp.class_Rings_Ocomm__ring__1 @t10)) % 2.13/2.38 (define @t320 () (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t88)) % 2.13/2.38 (define @t321 () (tptp.class_Groups_Omonoid__mult @t10)) % 2.13/2.38 (define @t322 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t10 @t306) @t119)) % 2.13/2.38 (define @t323 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t32)) % 2.13/2.38 (define @t324 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t32 @t11)) % 2.13/2.38 (define @t325 () (tptp.c_Orderings_Oord__class_Oless @t10 @t32 @t11)) % 2.13/2.38 (define @t326 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t296 @t52)) % 2.13/2.38 (define @t327 () (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t58)) % 2.13/2.38 (define @t328 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t95 (tptp.c_Polynomial_OpCons @t10 @t327 @t307)) @t21))) % 2.13/2.38 (define @t329 () (tptp.hAPP @t23 @t58)) % 2.13/2.38 (define @t330 () (= (= @t329 @t11) @t328)) % 2.13/2.38 (define @t331 () (=> @t24 @t330)) % 2.13/2.38 (define @t332 () (forall @t59 @t331)) % 2.13/2.38 (define @t333 () (tptp.hAPP @t122 (tptp.c_Polynomial_OpCons @t10 @t294 @t307))) % 2.13/2.38 (define @t334 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP @t333 @t66)) @t40))) % 2.13/2.38 (define @t335 () (tptp.hAPP @t121 @t11)) % 2.13/2.38 (define @t336 () (tptp.hAPP @t335 @t119)) % 2.13/2.38 (define @t337 () (tptp.class_Rings_Osemiring__0 @t10)) % 2.13/2.38 (define @t338 () (and @t178 @t337)) % 2.13/2.38 (define @t339 () (@var "V_N" $$unsorted)) % 2.13/2.38 (define @t340 () (tptp.hAPP @t143 @t339)) % 2.13/2.38 (define @t341 () (tptp.c_Orderings_Oord__class_Oless @t10 @t296 @t52)) % 2.13/2.38 (define @t342 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119 @t339)) % 2.13/2.38 (define @t343 () (@list @t52 @t339 @t119 @t10)) % 2.13/2.38 (define @t344 () (@list @t119 @t157 @t52 @t10)) % 2.13/2.38 (define @t345 () (tptp.hAPP @t121 @t91)) % 2.13/2.38 (define @t346 () (tptp.hAPP @t345 @t88)) % 2.13/2.38 (define @t347 () (tptp.hAPP @t345 @t27)) % 2.13/2.38 (define @t348 () (tptp.c_Orderings_Oord__class_Oless @t10 @t296 @t91)) % 2.13/2.38 (define @t349 () (@list @t88 @t27 @t91 @t10)) % 2.13/2.38 (define @t350 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t119 @t339)) % 2.13/2.38 (define @t351 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t161 @t12)) % 2.13/2.38 (define @t352 () (tptp.hAPP @t2 @t27)) % 2.13/2.38 (define @t353 () (tptp.tc_fun @t10 @t51)) % 2.13/2.38 (define @t354 () (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t2 @t1)) % 2.13/2.38 (define @t355 () (tptp.class_Orderings_Oord @t51)) % 2.13/2.38 (define @t356 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t268 @t161)) % 2.13/2.38 (define @t357 () (tptp.class_Orderings_Oorder @t10)) % 2.13/2.38 (define @t358 () (@list @t268 @t12 @t161 @t10)) % 2.13/2.38 (define @t359 () (@list @t12 @t161 @t10)) % 2.13/2.38 (define @t360 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t161 @t268)) % 2.13/2.38 (define @t361 () (@list @t268 @t161 @t12 @t10)) % 2.13/2.38 (define @t362 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t112 @t52)) % 2.13/2.38 (define @t363 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t140 @t52)) % 2.13/2.38 (define @t364 () (@list @t112 @t52 @t140 @t10)) % 2.13/2.38 (define @t365 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t52 @t112)) % 2.13/2.38 (define @t366 () (tptp.class_Orderings_Oord @t10)) % 2.13/2.38 (define @t367 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t140 @t112)) % 2.13/2.38 (define @t368 () (= @t257 @t89)) % 2.13/2.38 (define @t369 () (@list @t27 @t88 @t10)) % 2.13/2.38 (define @t370 () (@list @t1 @t2 @t10 @t51)) % 2.13/2.38 (define @t371 () (tptp.c_Orderings_Oord__class_Oless @t10 @t268 @t12)) % 2.13/2.38 (define @t372 () (=> (tptp.c_Orderings_Oord__class_Oless @t10 @t268 @t161) @t371)) % 2.13/2.38 (define @t373 () (tptp.c_Orderings_Oord__class_Oless @t10 @t12 @t268)) % 2.13/2.38 (define @t374 () (=> (tptp.c_Orderings_Oord__class_Oless @t10 @t161 @t268) @t373)) % 2.13/2.38 (define @t375 () (tptp.c_Orderings_Oord__class_Oless @t10 @t112 @t52)) % 2.13/2.38 (define @t376 () (tptp.c_Orderings_Oord__class_Oless @t10 @t140 @t52)) % 2.13/2.38 (define @t377 () (tptp.c_Orderings_Oord__class_Oless @t10 @t52 @t112)) % 2.13/2.38 (define @t378 () (tptp.c_Orderings_Oord__class_Oless @t10 @t140 @t112)) % 2.13/2.38 (define @t379 () (@list @t52 @t140 @t10)) % 2.13/2.38 (define @t380 () (= @t254 @t89)) % 2.13/2.38 (define @t381 () (@list @t140 @t119 @t52)) % 2.13/2.38 (define @t382 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint)) % 2.13/2.38 (define @t383 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 2.13/2.38 (define @t384 () (@list @t91 @t32 @t170)) % 2.13/2.38 (define @t385 () (tptp.hAPP @t382 @t32)) % 2.13/2.38 (define @t386 () (tptp.c_Orderings_Oord__class_Oless @t10 @t52 @t296)) % 2.13/2.38 (define @t387 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t52 @t296)) % 2.13/2.38 (define @t388 () (@list @t12 @t119 @t10)) % 2.13/2.38 (define @t389 () (tptp.hAPP (tptp.hAPP @t122 (tptp.c_Polynomial_OpCons @t10 @t52 @t307)) @t119)) % 2.13/2.38 (define @t390 () (tptp.hAPP @t261 @t247)) % 2.13/2.38 (define @t391 () (@var "B_s" $$unsorted)) % 2.13/2.38 (define @t392 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t95 (tptp.hAPP @t333 (tptp.c_Nat_OSuc @t66))) @t40)))) % 2.13/2.38 (define @t393 () (@var "B_r" $$unsorted)) % 2.13/2.38 (define @t394 () (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t12)) % 2.13/2.38 (define @t395 () (tptp.class_Lattices_Oboolean__algebra @t10)) % 2.13/2.38 (define @t396 () (tptp.c_Nat_OSuc @t119)) % 2.13/2.38 (define @t397 () (tptp.c_Nat_OSuc @t157)) % 2.13/2.38 (define @t398 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t397 @t396)) % 2.13/2.38 (define @t399 () (tptp.c_Nat_OSuc @t31)) % 2.13/2.38 (define @t400 () (tptp.hAPP @t163 (tptp.c_Nat_OSuc @t38))) % 2.13/2.38 (define @t401 () (tptp.hAPP @t163 @t38)) % 2.13/2.38 (define @t402 () (tptp.c_Groups_Otimes__class_Otimes @t10)) % 2.13/2.38 (define @t403 () (tptp.hAPP @t402 @t401)) % 2.13/2.38 (define @t404 () (@list @t38 @t12 @t10)) % 2.13/2.38 (define @t405 () (tptp.hAPP @t402 @t12)) % 2.13/2.38 (define @t406 () (tptp.hAPP @t405 @t401)) % 2.13/2.38 (define @t407 () (tptp.hAPP @t402 @t144)) % 2.13/2.38 (define @t408 () (tptp.hAPP @t407 @t52)) % 2.13/2.38 (define @t409 () (tptp.hAPP @t143 @t396)) % 2.13/2.38 (define @t410 () (tptp.hAPP @t402 @t52)) % 2.13/2.38 (define @t411 () (tptp.hAPP @t410 @t144)) % 2.13/2.38 (define @t412 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 2.13/2.38 (define @t413 () (= (tptp.hAPP @t410 @t296) @t52)) % 2.13/2.38 (define @t414 () (= (tptp.hAPP (tptp.hAPP @t402 @t296) @t52) @t52)) % 2.13/2.38 (define @t415 () (tptp.hAPP @t402 @t11)) % 2.13/2.38 (define @t416 () (= (tptp.hAPP @t415 @t52) @t11)) % 2.13/2.38 (define @t417 () (= (tptp.hAPP @t410 @t11) @t11)) % 2.13/2.38 (define @t418 () (tptp.c_Groups_Otimes__class_Otimes @t13)) % 2.13/2.38 (define @t419 () (tptp.hAPP @t418 @t40)) % 2.13/2.38 (define @t420 () (tptp.hAPP @t419 @t38)) % 2.13/2.38 (define @t421 () (tptp.hAPP @t405 @t161)) % 2.13/2.38 (define @t422 () (tptp.hAPP @t410 @t52)) % 2.13/2.38 (define @t423 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t10)) % 2.13/2.38 (define @t424 () (tptp.hAPP @t405 @t12)) % 2.13/2.38 (define @t425 () (tptp.hAPP @t402 @t140)) % 2.13/2.38 (define @t426 () (tptp.hAPP @t425 @t52)) % 2.13/2.38 (define @t427 () (tptp.hAPP @t410 @t140)) % 2.13/2.38 (define @t428 () (@var "V_ry" $$unsorted)) % 2.13/2.38 (define @t429 () (@var "V_lx" $$unsorted)) % 2.13/2.38 (define @t430 () (tptp.hAPP @t402 @t429)) % 2.13/2.38 (define @t431 () (@var "V_rx" $$unsorted)) % 2.13/2.38 (define @t432 () (tptp.hAPP @t402 @t431)) % 2.13/2.38 (define @t433 () (tptp.hAPP @t432 @t428)) % 2.13/2.38 (define @t434 () (tptp.hAPP @t430 @t433)) % 2.13/2.38 (define @t435 () (@list @t428 @t431 @t429 @t10)) % 2.13/2.38 (define @t436 () (tptp.hAPP @t402 (tptp.hAPP @t430 @t431))) % 2.13/2.38 (define @t437 () (@var "V_ly" $$unsorted)) % 2.13/2.38 (define @t438 () (tptp.hAPP @t402 @t437)) % 2.13/2.38 (define @t439 () (tptp.hAPP @t402 (tptp.hAPP @t430 @t437))) % 2.13/2.38 (define @t440 () (tptp.hAPP @t439 @t431)) % 2.13/2.38 (define @t441 () (@list @t431 @t437 @t429 @t10)) % 2.13/2.38 (define @t442 () (tptp.hAPP @t439 @t433)) % 2.13/2.38 (define @t443 () (@list @t428 @t431 @t437 @t429 @t10)) % 2.13/2.38 (define @t444 () (tptp.hAPP @t425 @t112)) % 2.13/2.38 (define @t445 () (@var "V_nat_H_2" $$unsorted)) % 2.13/2.38 (define @t446 () (@var "V_nat_2" $$unsorted)) % 2.13/2.38 (define @t447 () (= @t140 @t11)) % 2.13/2.38 (define @t448 () (= @t427 @t11)) % 2.13/2.38 (define @t449 () (not @t447)) % 2.13/2.38 (define @t450 () (tptp.hAPP @t402 @t32)) % 2.13/2.38 (define @t451 () (tptp.hAPP @t450 @t91)) % 2.13/2.38 (define @t452 () (@list @t157)) % 2.13/2.38 (define @t453 () (@var "V_nat_H" $$unsorted)) % 2.13/2.38 (define @t454 () (@var "V_nat_H_1" $$unsorted)) % 2.13/2.38 (define @t455 () (tptp.class_Groups_Ocomm__monoid__mult @t10)) % 2.13/2.38 (define @t456 () (tptp.c_Nat_OSuc @t215)) % 2.13/2.38 (define @t457 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t170 @t456)) % 2.13/2.38 (define @t458 () (tptp.c_Nat_OSuc @t170)) % 2.13/2.38 (define @t459 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t215 @t458)) % 2.13/2.38 (define @t460 () (= @t457 (= @t170 @t215))) % 2.13/2.38 (define @t461 () (@list @t215 @t170)) % 2.13/2.38 (define @t462 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 @t396)) % 2.13/2.38 (define @t463 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t397 @t119)) % 2.13/2.38 (define @t464 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t197)) % 2.13/2.38 (define @t465 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 @t232)) % 2.13/2.38 (define @t466 () (not @t182)) % 2.13/2.38 (define @t467 () (tptp.hAPP @t402 @t91)) % 2.13/2.38 (define @t468 () (tptp.hAPP @t402 @t294)) % 2.13/2.38 (define @t469 () (tptp.class_Rings_Oring @t10)) % 2.13/2.38 (define @t470 () (tptp.hAPP @t410 @t313)) % 2.13/2.38 (define @t471 () (tptp.hAPP @t468 @t140)) % 2.13/2.38 (define @t472 () (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t427)) % 2.13/2.38 (define @t473 () (tptp.hBOOL (tptp.hAPP @t156 @t426))) % 2.13/2.38 (define @t474 () (forall @t314 (=> @t99 @t473))) % 2.13/2.38 (define @t475 () (tptp.hBOOL (tptp.hAPP @t156 @t444))) % 2.13/2.38 (define @t476 () (@list @t140 @t112 @t52 @t10)) % 2.13/2.38 (define @t477 () (@var "V_d" $$unsorted)) % 2.13/2.38 (define @t478 () (tptp.hAPP @t425 @t477)) % 2.13/2.38 (define @t479 () (tptp.hAPP @t410 @t112)) % 2.13/2.38 (define @t480 () (tptp.hAPP @t155 @t112)) % 2.13/2.38 (define @t481 () (@list @t477 @t112 @t140 @t52 @t10)) % 2.13/2.38 (define @t482 () (tptp.class_Rings_Odvd @t10)) % 2.13/2.38 (define @t483 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t155 @t427) @t112))) % 2.13/2.38 (define @t484 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t458 @t215)) % 2.13/2.38 (define @t485 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157 @t396)) % 2.13/2.38 (define @t486 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t397 @t119)) % 2.13/2.38 (define @t487 () (= @t215 @t412)) % 2.13/2.38 (define @t488 () (tptp.hAPP @t193 @t215)) % 2.13/2.38 (define @t489 () (@list @t215)) % 2.13/2.38 (define @t490 () (tptp.c_Polynomial_Osmult @t10 @t140 @t40)) % 2.13/2.38 (define @t491 () (@list @t40 @t140 @t52 @t10)) % 2.13/2.38 (define @t492 () (tptp.c_Polynomial_Osmult @t10 @t52 @t420)) % 2.13/2.38 (define @t493 () (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t296)) % 2.13/2.38 (define @t494 () (tptp.c_Polynomial_Opos__poly @t10 @t38)) % 2.13/2.38 (define @t495 () (tptp.c_Polynomial_Opos__poly @t10 @t40)) % 2.13/2.38 (define @t496 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t427 @t11)) % 2.13/2.38 (define @t497 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t52 @t11)) % 2.13/2.38 (define @t498 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t140 @t11)) % 2.13/2.38 (define @t499 () (tptp.class_Rings_Oordered__cancel__semiring @t10)) % 2.13/2.38 (define @t500 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t427)) % 2.13/2.38 (define @t501 () (tptp.class_Rings_Oordered__ring @t10)) % 2.13/2.38 (define @t502 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t112)) % 2.13/2.38 (define @t503 () (=> @t502 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t479 @t478))) % 2.13/2.38 (define @t504 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t112 @t477)) % 2.13/2.38 (define @t505 () (tptp.class_Rings_Oordered__semiring @t10)) % 2.13/2.38 (define @t506 () (tptp.hAPP @t402 @t112)) % 2.13/2.38 (define @t507 () (tptp.hAPP @t506 @t140)) % 2.13/2.38 (define @t508 () (tptp.hAPP @t506 @t52)) % 2.13/2.38 (define @t509 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t508 @t507)) % 2.13/2.38 (define @t510 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t112 @t11)) % 2.13/2.38 (define @t511 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t479 @t444)) % 2.13/2.38 (define @t512 () (=> @t242 (=> @t502 @t509))) % 2.13/2.38 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t91)) % 2.13/2.38 (define @t514 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t91 @t11)) % 2.13/2.38 (define @t515 () (tptp.class_Rings_Olinordered__ring__strict @t10)) % 2.13/2.38 (define @t516 () (tptp.class_Rings_Olinordered__ring @t10)) % 2.13/2.38 (define @t517 () (tptp.c_Orderings_Oord__class_Oless @t10 @t508 @t507)) % 2.13/2.38 (define @t518 () (tptp.c_Orderings_Oord__class_Oless @t10 @t112 @t11)) % 2.13/2.38 (define @t519 () (tptp.c_Orderings_Oord__class_Oless @t10 @t479 @t444)) % 2.13/2.38 (define @t520 () (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t112)) % 2.13/2.38 (define @t521 () (=> @t148 (=> @t520 @t517))) % 2.13/2.38 (define @t522 () (tptp.class_Rings_Olinordered__semiring__strict @t10)) % 2.13/2.38 (define @t523 () (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t427)) % 2.13/2.38 (define @t524 () (tptp.c_Orderings_Oord__class_Oless @t10 @t140 @t11)) % 2.13/2.38 (define @t525 () (tptp.c_Orderings_Oord__class_Oless @t10 @t52 @t11)) % 2.13/2.38 (define @t526 () (tptp.c_Orderings_Oord__class_Oless @t10 @t427 @t11)) % 2.13/2.38 (define @t527 () (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t140)) % 2.13/2.38 (define @t528 () (tptp.c_Orderings_Oord__class_Oless @t10 @t91 @t32)) % 2.13/2.38 (define @t529 () (tptp.hAPP @t402 @t58)) % 2.13/2.38 (define @t530 () (tptp.hAPP @t529 @t91)) % 2.13/2.38 (define @t531 () (tptp.hAPP @t529 @t32)) % 2.13/2.38 (define @t532 () (tptp.c_Orderings_Oord__class_Oless @t10 @t531 @t530)) % 2.13/2.38 (define @t533 () (tptp.c_Orderings_Oord__class_Oless @t10 @t58 @t11)) % 2.13/2.38 (define @t534 () (@list @t91 @t32 @t58 @t10)) % 2.13/2.38 (define @t535 () (=> @t180 @t527)) % 2.13/2.38 (define @t536 () (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t58)) % 2.13/2.38 (define @t537 () (or (and @t536 @t315) (and @t533 @t528))) % 2.13/2.38 (define @t538 () (tptp.hAPP @t467 @t58)) % 2.13/2.38 (define @t539 () (tptp.hAPP @t450 @t58)) % 2.13/2.38 (define @t540 () (@list @t91 @t58 @t32 @t10)) % 2.13/2.38 (define @t541 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t155 @t32) @t91))) % 2.13/2.38 (define @t542 () (or (= @t58 @t11) @t541)) % 2.13/2.38 (define @t543 () (@var "B_j" $$unsorted)) % 2.13/2.38 (define @t544 () (= @t215 @t31)) % 2.13/2.38 (define @t545 () (tptp.c_Nat_OSuc @t399)) % 2.13/2.38 (define @t546 () (tptp.hAPP @t402 @t27)) % 2.13/2.38 (define @t547 () (tptp.hAPP @t546 @t27)) % 2.13/2.38 (define @t548 () (= @t215 @t399)) % 2.13/2.38 (define @t549 () (@list @t119 @t40 @t52 @t10)) % 2.13/2.38 (define @t550 () (@list @t12 @t40 @t52 @t10)) % 2.13/2.38 (define @t551 () (=> @t520 @t242)) % 2.13/2.38 (define @t552 () (@list @t140 @t52 @t112 @t10)) % 2.13/2.38 (define @t553 () (=> @t502 @t148)) % 2.13/2.38 (define @t554 () (=> @t517 @t553)) % 2.13/2.38 (define @t555 () (tptp.class_Rings_Olinordered__semiring @t10)) % 2.13/2.38 (define @t556 () (=> @t519 @t553)) % 2.13/2.38 (define @t557 () (tptp.c_Orderings_Oord__class_Oless @t10 @t479 @t478)) % 2.13/2.38 (define @t558 () (=> @t502 @t557)) % 2.13/2.38 (define @t559 () (tptp.c_Orderings_Oord__class_Oless @t10 @t112 @t477)) % 2.13/2.38 (define @t560 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t531 @t530)) % 2.13/2.38 (define @t561 () (tptp.hAPP @t141 @t396)) % 2.13/2.38 (define @t562 () (tptp.hAPP @t402 @t161)) % 2.13/2.38 (define @t563 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t161 @t296)) % 2.13/2.38 (define @t564 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t161)) % 2.13/2.38 (define @t565 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t12)) % 2.13/2.38 (define @t566 () (@list @t119 @t183)) % 2.13/2.38 (define @t567 () (tptp.c_Nat_OSuc @t65)) % 2.13/2.38 (define @t568 () (tptp.c_Polynomial_Odegree @t10 @t110)) % 2.13/2.38 (define @t569 () (=> @t68 (= @t568 @t567))) % 2.13/2.38 (define @t570 () (@var "V_A_2" $$unsorted)) % 2.13/2.38 (define @t571 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t10 @t40)) % 2.13/2.38 (define @t572 () (@var "V_r" $$unsorted)) % 2.13/2.38 (define @t573 () (tptp.class_RealVector_Oreal__normed__algebra @t10)) % 2.13/2.38 (define @t574 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 2.13/2.38 (define @t575 () (= @t170 @t412)) % 2.13/2.38 (define @t576 () (and @t487 @t575)) % 2.13/2.38 (define @t577 () (tptp.hAPP @t574 @t215)) % 2.13/2.38 (define @t578 () (tptp.hAPP @t577 @t170)) % 2.13/2.38 (define @t579 () (tptp.hAPP @t574 @t119)) % 2.13/2.38 (define @t580 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t112 @t52)) % 2.13/2.38 (define @t581 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t112)) % 2.13/2.38 (define @t582 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t112 @t477)) % 2.13/2.38 (define @t583 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t582)) % 2.13/2.38 (define @t584 () (@list @t477 @t112 @t52 @t10)) % 2.13/2.38 (define @t585 () (@var "V_b_H" $$unsorted)) % 2.13/2.38 (define @t586 () (tptp.hAPP @t410 @t585)) % 2.13/2.38 (define @t587 () (@list @t585 @t140 @t52 @t10)) % 2.13/2.38 (define @t588 () (@var "V_xa" $$unsorted)) % 2.13/2.38 (define @t589 () (tptp.hAPP @t402 @t588)) % 2.13/2.38 (define @t590 () (tptp.hAPP @t589 @t161)) % 2.13/2.38 (define @t591 () (tptp.hAPP @t589 @t12)) % 2.13/2.38 (define @t592 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t12 @t161)) % 2.13/2.38 (define @t593 () (@list @t161 @t12 @t588 @t10)) % 2.13/2.38 (define @t594 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t140 @t112)) % 2.13/2.38 (define @t595 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t140)) % 2.13/2.38 (define @t596 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t595 @t112)) % 2.13/2.38 (define @t597 () (= @t596 (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t594))) % 2.13/2.38 (define @t598 () (@var "V_a_H" $$unsorted)) % 2.13/2.38 (define @t599 () (tptp.hAPP @t402 @t598)) % 2.13/2.38 (define @t600 () (tptp.hAPP @t599 @t140)) % 2.13/2.38 (define @t601 () (@list @t140 @t598 @t52 @t10)) % 2.13/2.38 (define @t602 () (@var "V_ya" $$unsorted)) % 2.13/2.38 (define @t603 () (tptp.hAPP @t562 @t602)) % 2.13/2.38 (define @t604 () (tptp.hAPP @t405 @t602)) % 2.13/2.38 (define @t605 () (@list @t602 @t161 @t12 @t10)) % 2.13/2.38 (define @t606 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t140 @t477)) % 2.13/2.38 (define @t607 () (= @t91 @t58)) % 2.13/2.38 (define @t608 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t32 @t58)) % 2.13/2.38 (define @t609 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t32 @t91)) % 2.13/2.38 (define @t610 () (tptp.class_Groups_Ocancel__semigroup__add @t10)) % 2.13/2.38 (define @t611 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t58 @t32)) % 2.13/2.38 (define @t612 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t91 @t32)) % 2.13/2.38 (define @t613 () (=> (= @t595 @t581) @t284)) % 2.13/2.38 (define @t614 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t140 @t52)) % 2.13/2.38 (define @t615 () (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 @t38)) % 2.13/2.38 (define @t616 () (tptp.class_Groups_Ocomm__monoid__add @t10)) % 2.13/2.38 (define @t617 () (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t11 @t52) @t52)) % 2.13/2.38 (define @t618 () (tptp.class_Groups_Omonoid__add @t10)) % 2.13/2.38 (define @t619 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t32 @t32)) % 2.13/2.38 (define @t620 () (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t11) @t52)) % 2.13/2.38 (define @t621 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t10)) % 2.13/2.38 (define @t622 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t91 @t58)) % 2.13/2.38 (define @t623 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t10)) % 2.13/2.38 (define @t624 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t58 @t91)) % 2.13/2.38 (define @t625 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t581 @t594)) % 2.13/2.38 (define @t626 () (tptp.class_Groups_Oordered__ab__semigroup__add @t10)) % 2.13/2.38 (define @t627 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t112 @t140)) % 2.13/2.38 (define @t628 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t580 @t627)) % 2.13/2.38 (define @t629 () (tptp.c_Orderings_Oord__class_Oless @t10 @t581 @t594)) % 2.13/2.38 (define @t630 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t10)) % 2.13/2.38 (define @t631 () (tptp.c_Orderings_Oord__class_Oless @t10 @t580 @t627)) % 2.13/2.38 (define @t632 () (tptp.c_Orderings_Oord__class_Oless @t10 @t581 @t606)) % 2.13/2.38 (define @t633 () (=> @t559 @t632)) % 2.13/2.38 (define @t634 () (tptp.hAPP @t402 @t595)) % 2.13/2.38 (define @t635 () (= (tptp.hAPP @t634 @t112) (tptp.c_Groups_Oplus__class_Oplus @t10 @t479 @t444))) % 2.13/2.38 (define @t636 () (@var "V_e" $$unsorted)) % 2.13/2.38 (define @t637 () (@var "V_w_2" $$unsorted)) % 2.13/2.38 (define @t638 () (tptp.hAPP @t402 @t637)) % 2.13/2.38 (define @t639 () (tptp.hAPP @t410 @t157)) % 2.13/2.38 (define @t640 () (@var "V_d_2" $$unsorted)) % 2.13/2.38 (define @t641 () (@list @t640 @t58 @t91 @t32 @t10)) % 2.13/2.38 (define @t642 () (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t595)) % 2.13/2.38 (define @t643 () (@var "V_k_2" $$unsorted)) % 2.13/2.38 (define @t644 () (= @t643 @t31)) % 2.13/2.38 (define @t645 () (or @t218 @t644)) % 2.13/2.38 (define @t646 () (tptp.hAPP @t574 @t170)) % 2.13/2.38 (define @t647 () (tptp.hAPP @t646 @t643)) % 2.13/2.38 (define @t648 () (tptp.hAPP @t577 @t643)) % 2.13/2.38 (define @t649 () (@list @t170 @t643 @t215)) % 2.13/2.38 (define @t650 () (tptp.hAPP @t574 @t643)) % 2.13/2.38 (define @t651 () (tptp.hAPP @t650 @t170)) % 2.13/2.38 (define @t652 () (tptp.hAPP @t650 @t215)) % 2.13/2.38 (define @t653 () (= @t652 @t651)) % 2.13/2.38 (define @t654 () (@list @t170 @t215 @t643)) % 2.13/2.38 (define @t655 () (tptp.hAPP @t574 @t157)) % 2.13/2.38 (define @t656 () (tptp.hAPP @t655 @t119)) % 2.13/2.38 (define @t657 () (tptp.hAPP @t163 @t40)) % 2.13/2.38 (define @t658 () (@list @t38 @t40 @t12 @t10)) % 2.13/2.38 (define @t659 () (tptp.hAPP @t574 (tptp.c_Nat_OSuc @t643))) % 2.13/2.38 (define @t660 () (tptp.hAPP @t659 @t170)) % 2.13/2.38 (define @t661 () (tptp.hAPP @t659 @t215)) % 2.13/2.38 (define @t662 () (@var "V_l" $$unsorted)) % 2.13/2.38 (define @t663 () (tptp.hAPP @t574 @t232)) % 2.13/2.38 (define @t664 () (tptp.hAPP @t574 @t183)) % 2.13/2.38 (define @t665 () (tptp.hAPP @t664 @t197)) % 2.13/2.38 (define @t666 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t197 @t662)) % 2.13/2.38 (define @t667 () (@list @t662 @t197 @t232 @t183)) % 2.13/2.38 (define @t668 () (tptp.hAPP @t574 @t197)) % 2.13/2.38 (define @t669 () (tptp.hAPP @t668 @t232)) % 2.13/2.38 (define @t670 () (tptp.hAPP @t668 @t183)) % 2.13/2.38 (define @t671 () (tptp.hAPP @t663 @t197)) % 2.13/2.38 (define @t672 () (tptp.hAPP @t655 @t157)) % 2.13/2.38 (define @t673 () (= @t88 @t11)) % 2.13/2.38 (define @t674 () (and @t28 @t673)) % 2.13/2.38 (define @t675 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t547 (tptp.hAPP (tptp.hAPP @t402 @t88) @t88))) % 2.13/2.38 (define @t676 () (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t27 @t88) @t11)) % 2.13/2.38 (define @t677 () (tptp.hAPP @t418 @t38)) % 2.13/2.38 (define @t678 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t424 (tptp.hAPP @t562 @t161))) % 2.13/2.38 (define @t679 () (tptp.class_Groups_Oordered__comm__monoid__add @t10)) % 2.13/2.38 (define @t680 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t140 @t581)) % 2.13/2.38 (define @t681 () (@list @t52 @t140 @t112 @t10)) % 2.13/2.38 (define @t682 () (tptp.c_Orderings_Oord__class_Oless @t10 @t595 @t11)) % 2.13/2.38 (define @t683 () (=> @t524 @t682)) % 2.13/2.38 (define @t684 () (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t595)) % 2.13/2.38 (define @t685 () (=> @t527 @t684)) % 2.13/2.38 (define @t686 () (= (tptp.c_Orderings_Oord__class_Oless @t10 @t619 @t11) @t325)) % 2.13/2.38 (define @t687 () (tptp.c_Orderings_Oord__class_Oless @t10 @t140 @t581)) % 2.13/2.38 (define @t688 () (=> @t378 @t687)) % 2.13/2.38 (define @t689 () (tptp.hAPP @t402 @t572)) % 2.13/2.38 (define @t690 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t296)) % 2.13/2.38 (define @t691 () (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t294 @t52) @t11)) % 2.13/2.38 (define @t692 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t296 @t296)) % 2.13/2.38 (define @t693 () (tptp.hAPP (tptp.hAPP @t402 @t690) @t157)) % 2.13/2.38 (define @t694 () (= @t170 @t399)) % 2.13/2.38 (define @t695 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t215)) % 2.13/2.38 (define @t696 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t643)) % 2.13/2.38 (define @t697 () (and @t696 @t217)) % 2.13/2.38 (define @t698 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t652 @t651)) % 2.13/2.38 (define @t699 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t197)) % 2.13/2.38 (define @t700 () (tptp.c_Polynomial_Odegree @t10 @t615)) % 2.13/2.38 (define @t701 () (@list @t38 @t119 @t40 @t10)) % 2.13/2.38 (define @t702 () (@var "V_one_2" $$unsorted)) % 2.13/2.38 (define @t703 () (@var "V_times_2" $$unsorted)) % 2.13/2.38 (define @t704 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t10 @t702 @t703) @t32)) % 2.13/2.38 (define @t705 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t399 @t157)) % 2.13/2.38 (define @t706 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t399 @t119)) % 2.13/2.38 (define @t707 () (tptp.hAPP @t579 @t157)) % 2.13/2.38 (define @t708 () (tptp.hAPP @t668 @t119)) % 2.13/2.38 (define @t709 () (tptp.hAPP @t668 @t157)) % 2.13/2.38 (define @t710 () (@list @t119 @t157 @t197)) % 2.13/2.38 (define @t711 () (=> @t696 @t240)) % 2.13/2.38 (define @t712 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t652 @t651)) % 2.13/2.38 (define @t713 () (tptp.hAPP @t574 @t65)) % 2.13/2.38 (define @t714 () (@var "V_v" $$unsorted)) % 2.13/2.38 (define @t715 () (@var "V_u" $$unsorted)) % 2.13/2.38 (define @t716 () (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP (tptp.hAPP @t402 @t715) @t12) (tptp.hAPP (tptp.hAPP @t402 @t714) @t161))) % 2.13/2.38 (define @t717 () (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t715 @t714) @t296)) % 2.13/2.38 (define @t718 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t714)) % 2.13/2.38 (define @t719 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t715)) % 2.13/2.38 (define @t720 () (@list @t714 @t715 @t161 @t52 @t12 @t10)) % 2.13/2.38 (define @t721 () (tptp.c_Polynomial_OpCons @t10 @t11 @t420)) % 2.13/2.38 (define @t722 () (@list @t161 @t10)) % 2.13/2.38 (define @t723 () (tptp.hBOOL (tptp.hAPP @t229 @t3))) % 2.13/2.38 (define @t724 () (@var "V_l_2" $$unsorted)) % 2.13/2.38 (define @t725 () (tptp.hBOOL (tptp.hAPP @t488 @t170))) % 2.13/2.38 (define @t726 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t652) @t651))) % 2.13/2.38 (define @t727 () (@var "V_t_2" $$unsorted)) % 2.13/2.38 (define @t728 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 2.13/2.38 (define @t729 () (tptp.hAPP @t382 @t643)) % 2.13/2.38 (define @t730 () (tptp.hAPP @t728 @t643)) % 2.13/2.38 (define @t731 () (tptp.hAPP @t730 @t215)) % 2.13/2.38 (define @t732 () (tptp.hAPP @t383 @t12)) % 2.13/2.38 (define @t733 () (tptp.hAPP @t732 @t161)) % 2.13/2.38 (define @t734 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 @t268)) % 2.13/2.38 (define @t735 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t183 @t232)) % 2.13/2.38 (define @t736 () (tptp.hAPP @t579 @t197)) % 2.13/2.38 (define @t737 () (tptp.hAPP @t655 @t197)) % 2.13/2.38 (define @t738 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t119)) % 2.13/2.38 (define @t739 () (@list @t197 @t119 @t157)) % 2.13/2.38 (define @t740 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t170)) % 2.13/2.38 (define @t741 () (tptp.c_Nat_OSuc @t738)) % 2.13/2.38 (define @t742 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t396)) % 2.13/2.38 (define @t743 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t397 @t119)) % 2.13/2.38 (define @t744 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t734)) % 2.13/2.38 (define @t745 () (@list @t161 @t268 @t12)) % 2.13/2.38 (define @t746 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t197 @t119)) % 2.13/2.38 (define @t747 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t197 @t662)) % 2.13/2.38 (define @t748 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t232 @t662)) % 2.13/2.38 (define @t749 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t183 @t197)) % 2.13/2.38 (define @t750 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t232 @t197)) % 2.13/2.38 (define @t751 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t232)) % 2.13/2.38 (define @t752 () (@list @t157 @t232 @t183)) % 2.13/2.38 (define @t753 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t232 @t157)) % 2.13/2.38 (define @t754 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t643 @t170)) % 2.13/2.38 (define @t755 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t643 @t215)) % 2.13/2.38 (define @t756 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t232 @t183)) % 2.13/2.38 (define @t757 () (tptp.hAPP @t193 @t643)) % 2.13/2.38 (define @t758 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t170 @t643)) % 2.13/2.38 (define @t759 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t12 @t734)) % 2.13/2.38 (define @t760 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t197)) % 2.13/2.38 (define @t761 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t760 @t119)) % 2.13/2.38 (define @t762 () (@list @t119 @t197 @t157)) % 2.13/2.38 (define @t763 () (@var "B_k" $$unsorted)) % 2.13/2.38 (define @t764 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t763)) % 2.13/2.38 (define @t765 () (@list @t763)) % 2.13/2.38 (define @t766 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t119 @t157)) % 2.13/2.38 (define @t767 () (or (and @t548 @t171) (and @t544 @t694))) % 2.13/2.38 (define @t768 () (@list @t157 @t183)) % 2.13/2.38 (define @t769 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t65 @t115)) % 2.13/2.38 (define @t770 () (tptp.c_Polynomial_Odegree @t10 @t420)) % 2.13/2.38 (define @t771 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t382 @t119) @t157))) % 2.13/2.38 (define @t772 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t382 @t157) @t119))) % 2.13/2.38 (define @t773 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 2.13/2.38 (define @t774 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t157)) % 2.13/2.38 (define @t775 () (tptp.hAPP @t382 @t640)) % 2.13/2.38 (define @t776 () (tptp.hBOOL (tptp.hAPP @t775 @t727))) % 2.13/2.38 (define @t777 () (@list @t727 @t640)) % 2.13/2.38 (define @t778 () (tptp.hAPP @t728 @t197)) % 2.13/2.38 (define @t779 () (@var "V_ra_2" $$unsorted)) % 2.13/2.38 (define @t780 () (= @t779 @t14)) % 2.13/2.38 (define @t781 () (= @t88 @t14)) % 2.13/2.38 (define @t782 () (@var "V_h" $$unsorted)) % 2.13/2.38 (define @t783 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t10 @t40 @t782)) % 2.13/2.38 (define @t784 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 2.13/2.38 (define @t785 () (@list @t60)) % 2.13/2.38 (define @t786 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t784 @t268)) % 2.13/2.38 (define @t787 () (@list @t268)) % 2.13/2.38 (define @t788 () (@var "V_w" $$unsorted)) % 2.13/2.38 (define @t789 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t637 @t60)) % 2.13/2.38 (define @t790 () (@list @t60 @t637)) % 2.13/2.38 (define @t791 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t637 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t60 @t784))) % 2.13/2.38 (define @t792 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t268)) % 2.13/2.38 (define @t793 () (tptp.hAPP @t728 @t268)) % 2.13/2.38 (define @t794 () (tptp.hAPP @t793 @t788)) % 2.13/2.38 (define @t795 () (@list @t788 @t268)) % 2.13/2.38 (define @t796 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t268 @t788)) % 2.13/2.38 (define @t797 () (tptp.hAPP @t728 @t788)) % 2.13/2.38 (define @t798 () (@var "V_z2" $$unsorted)) % 2.13/2.38 (define @t799 () (@var "V_z1" $$unsorted)) % 2.13/2.38 (define @t800 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t799 @t798)) % 2.13/2.38 (define @t801 () (@var "V_z3" $$unsorted)) % 2.13/2.38 (define @t802 () (tptp.hAPP @t728 @t798)) % 2.13/2.38 (define @t803 () (tptp.hAPP @t728 @t799)) % 2.13/2.38 (define @t804 () (@list @t801 @t798 @t799)) % 2.13/2.38 (define @t805 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t183 @t232)) % 2.13/2.38 (define @t806 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t788 @t268)) % 2.13/2.38 (define @t807 () (@var "V_z_H" $$unsorted)) % 2.13/2.38 (define @t808 () (@var "V_w_H" $$unsorted)) % 2.13/2.38 (define @t809 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t183 @t232)) % 2.13/2.38 (define @t810 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t119 @t197)) % 2.13/2.38 (define @t811 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t788 @t268)) % 2.13/2.38 (define @t812 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t268 @t788)) % 2.13/2.38 (define @t813 () (tptp.c_Polynomial_Osmult @t10 @t52 @t12)) % 2.13/2.38 (define @t814 () (tptp.c_Polynomial_Opdivmod__rel @t10 @t12 @t161 @t38 @t572)) % 2.13/2.38 (define @t815 () (tptp.c_Polynomial_Omonom @t10 @t32 @t170)) % 2.13/2.38 (define @t816 () (@var "V_q2" $$unsorted)) % 2.13/2.38 (define @t817 () (@var "V_q1" $$unsorted)) % 2.13/2.38 (define @t818 () (= @t817 @t816)) % 2.13/2.38 (define @t819 () (@var "V_r2" $$unsorted)) % 2.13/2.38 (define @t820 () (tptp.c_Polynomial_Opdivmod__rel @t10 @t12 @t161 @t816 @t819)) % 2.13/2.38 (define @t821 () (@var "V_r1" $$unsorted)) % 2.13/2.38 (define @t822 () (tptp.c_Polynomial_Opdivmod__rel @t10 @t12 @t161 @t817 @t821)) % 2.13/2.38 (define @t823 () (@list @t819 @t816 @t821 @t817 @t161 @t12 @t10)) % 2.13/2.38 (define @t824 () (= @t821 @t819)) % 2.13/2.38 (define @t825 () (@var "V_h_2" $$unsorted)) % 2.13/2.38 (define @t826 () (tptp.c_Polynomial_Omonom @t10 @t52 @t119)) % 2.13/2.38 (define @t827 () (tptp.c_Polynomial_Odegree @t10 @t826)) % 2.13/2.38 (define @t828 () (tptp.c_Polynomial_Omonom @t10 @t52 @t157)) % 2.13/2.38 (define @t829 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t10 @t828) @t119)) % 2.13/2.38 (define @t830 () (tptp.c_Polynomial_Omonom @t10 @t140 @t119)) % 2.13/2.38 (define @t831 () (@var "V_r_H" $$unsorted)) % 2.13/2.38 (define @t832 () (tptp.hAPP @t418 @t161)) % 2.13/2.38 (define @t833 () (@var "V_q_H" $$unsorted)) % 2.13/2.38 (define @t834 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t572)) % 2.13/2.38 (define @t835 () (tptp.hAPP @t728 @t52)) % 2.13/2.38 (define @t836 () (= @t52 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t572 (tptp.hAPP @t835 @t38)))) % 2.13/2.38 (define @t837 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t773 @t52)) % 2.13/2.38 (define @t838 () (@list @t38 @t572 @t52)) % 2.13/2.38 (define @t839 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t833 @t38)) % 2.13/2.38 (define @t840 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t585 @t140)) % 2.13/2.38 (define @t841 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t773 @t585)) % 2.13/2.38 (define @t842 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t831)) % 2.13/2.38 (define @t843 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t572 @t140)) % 2.13/2.38 (define @t844 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t728 @t585) @t833) @t831)) % 2.13/2.38 (define @t845 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t844 @t773)) % 2.13/2.38 (define @t846 () (tptp.hAPP @t728 @t140)) % 2.13/2.38 (define @t847 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t846 @t38) @t572)) % 2.13/2.38 (define @t848 () (= @t847 @t844)) % 2.13/2.38 (define @t849 () (@list @t831 @t833 @t585 @t572 @t38 @t140)) % 2.13/2.38 (define @t850 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t831 @t585)) % 2.13/2.38 (define @t851 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t844)) % 2.13/2.38 (define @t852 () (@list @t831 @t833 @t585)) % 2.13/2.38 (define @t853 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t846 @t833) @t831) @t847)) % 2.13/2.38 (define @t854 () (@list @t572 @t38 @t831 @t833 @t140)) % 2.13/2.38 (define @t855 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t38 @t833)) % 2.13/2.38 (define @t856 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t12)) % 2.13/2.38 (define @t857 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t161)) % 2.13/2.38 (define @t858 () (@var "B_i" $$unsorted)) % 2.13/2.38 (define @t859 () (= (tptp.hAPP @t72 @t858) @t11)) % 2.13/2.38 (define @t860 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119 @t858)) % 2.13/2.38 (define @t861 () (@list @t858)) % 2.13/2.38 (define @t862 () (@list @t40 @t119 @t10)) % 2.13/2.38 (define @t863 () (tptp.c_Polynomial_Opoly__gcd @t10 @t12 @t161)) % 2.13/2.38 (define @t864 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t10 @t863) (tptp.c_Polynomial_Odegree @t10 @t863))) % 2.13/2.38 (define @t865 () (= @t161 @t14)) % 2.13/2.38 (define @t866 () (and (= @t12 @t14) @t865)) % 2.13/2.38 (define @t867 () (not @t866)) % 2.13/2.38 (define @t868 () (tptp.hAPP @t95 @t863)) % 2.13/2.38 (define @t869 () (tptp.hAPP @t95 @t197)) % 2.13/2.38 (define @t870 () (tptp.hAPP @t95 @t643)) % 2.13/2.38 (define @t871 () (tptp.c_Polynomial_Opoly__gcd @t10 @t27 @t88)) % 2.13/2.38 (define @t872 () (tptp.c_Polynomial_Opoly__gcd @t10 @t52 @t140)) % 2.13/2.38 (define @t873 () (tptp.c_Polynomial_Opoly__gcd @t10 @t52 (tptp.c_Polynomial_Opoly__gcd @t10 @t140 @t112))) % 2.13/2.38 (define @t874 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t12)) % 2.13/2.38 (define @t875 () (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t161)) % 2.13/2.38 (define @t876 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t10 @t477) (tptp.c_Polynomial_Odegree @t10 @t477))) % 2.13/2.38 (define @t877 () (tptp.hAPP @t95 @t763)) % 2.13/2.38 (define @t878 () (tptp.hAPP @t95 @t477)) % 2.13/2.38 (define @t879 () (tptp.c_Polynomial_Odegree @t10 @t12)) % 2.13/2.38 (define @t880 () (tptp.c_Polynomial_Osmult @t10 (tptp.c_Rings_Oinverse__class_Oinverse @t10 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t10 @t12) @t879)) @t12)) % 2.13/2.38 (define @t881 () (tptp.c_Rings_Oinverse__class_Oinverse @t10 @t52)) % 2.13/2.38 (define @t882 () (tptp.class_Rings_Odivision__ring @t10)) % 2.13/2.38 (define @t883 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t10 @t881) @t52)) % 2.13/2.38 (define @t884 () (tptp.class_Rings_Odivision__ring__inverse__zero @t10)) % 2.13/2.38 (define @t885 () (tptp.c_Rings_Oinverse__class_Oinverse @t10 @t32)) % 2.13/2.38 (define @t886 () (tptp.c_Rings_Oinverse__class_Oinverse @t10 @t140)) % 2.13/2.38 (define @t887 () (= @t881 @t886)) % 2.13/2.38 (define @t888 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t10 @t144) (tptp.hAPP (tptp.hAPP @t121 @t881) @t119))) % 2.13/2.38 (define @t889 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t10 @t11) @t11)) % 2.13/2.38 (define @t890 () (= @t881 @t11)) % 2.13/2.38 (define @t891 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t10 @t294) (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t881))) % 2.13/2.38 (define @t892 () (tptp.c_Rings_Oinverse__class_Oinverse @t10 @t427)) % 2.13/2.38 (define @t893 () (tptp.hAPP @t402 @t881)) % 2.13/2.38 (define @t894 () (tptp.c_Groups_Oplus__class_Oplus @t10 @t881 @t886)) % 2.13/2.38 (define @t895 () (=> @t78 (= (tptp.hAPP @t893 @t52) @t296))) % 2.13/2.38 (define @t896 () (tptp.c_Polynomial_Osmult @t10 @t52 @t161)) % 2.13/2.38 (define @t897 () (tptp.class_Fields_Olinordered__field @t10)) % 2.13/2.38 (define @t898 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t27 @t11)) % 2.13/2.38 (define @t899 () (tptp.c_Rings_Oinverse__class_Oinverse @t10 @t27)) % 2.13/2.38 (define @t900 () (tptp.class_Fields_Olinordered__field__inverse__zero @t10)) % 2.13/2.38 (define @t901 () (tptp.class_Fields_Ofield__inverse__zero @t10)) % 2.13/2.38 (define @t902 () (tptp.c_Orderings_Oord__class_Oless @t10 @t881 @t886)) % 2.13/2.38 (define @t903 () (tptp.c_Orderings_Oord__class_Oless @t10 @t881 @t11)) % 2.13/2.38 (define @t904 () (tptp.c_Orderings_Oord__class_Oless @t10 @t886 @t881)) % 2.13/2.38 (define @t905 () (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t881)) % 2.13/2.38 (define @t906 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t881 @t886)) % 2.13/2.38 (define @t907 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t886 @t881)) % 2.13/2.38 (define @t908 () (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t27)) % 2.13/2.38 (define @t909 () (tptp.c_Divides_Odiv__class_Omod @t13 @t12 @t161)) % 2.13/2.38 (define @t910 () (not @t865)) % 2.13/2.38 (define @t911 () (=> @t910 (= @t863 (tptp.c_Polynomial_Opoly__gcd @t10 @t161 @t909)))) % 2.13/2.38 (define @t912 () (tptp.c_Divides_Odiv__class_Omod @t10 @t140 @t112)) % 2.13/2.38 (define @t913 () (tptp.c_Divides_Odiv__class_Omod @t10 @t427 @t112)) % 2.13/2.38 (define @t914 () (tptp.class_Divides_Osemiring__div @t10)) % 2.13/2.38 (define @t915 () (tptp.c_Divides_Odiv__class_Omod @t10 @t52 @t112)) % 2.13/2.38 (define @t916 () (tptp.hAPP @t402 @t915)) % 2.13/2.38 (define @t917 () (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t916 @t140) @t112)) % 2.13/2.38 (define @t918 () (tptp.c_Divides_Odiv__class_Omod @t10 @t52 @t140)) % 2.13/2.38 (define @t919 () (= @t912 (tptp.c_Divides_Odiv__class_Omod @t10 @t585 @t112))) % 2.13/2.38 (define @t920 () (= @t915 (tptp.c_Divides_Odiv__class_Omod @t10 @t598 @t112))) % 2.13/2.38 (define @t921 () (@list @t585 @t140 @t598 @t112 @t52 @t10)) % 2.13/2.38 (define @t922 () (tptp.c_Divides_Odiv__class_Omod @t10 @t595 @t112)) % 2.13/2.38 (define @t923 () (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.c_Groups_Oplus__class_Oplus @t10 @t915 @t140) @t112)) % 2.13/2.38 (define @t924 () (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t912) @t112)) % 2.13/2.38 (define @t925 () (tptp.c_Divides_Odiv__class_Omod @t10 @t294 @t140)) % 2.13/2.38 (define @t926 () (tptp.class_Divides_Oring__div @t10)) % 2.13/2.38 (define @t927 () (tptp.hAPP @t155 @t643)) % 2.13/2.38 (define @t928 () (tptp.hAPP @t155 @t197)) % 2.13/2.38 (define @t929 () (tptp.hBOOL (tptp.hAPP @t928 (tptp.c_Divides_Odiv__class_Omod @t10 @t157 @t119)))) % 2.13/2.38 (define @t930 () (tptp.hBOOL (tptp.hAPP @t928 @t119))) % 2.13/2.38 (define @t931 () (tptp.hBOOL (tptp.hAPP @t928 @t157))) % 2.13/2.38 (define @t932 () (@list @t119 @t157 @t197 @t10)) % 2.13/2.38 (define @t933 () (@list @t161 @t12 @t52 @t10)) % 2.13/2.38 (define @t934 () (tptp.c_Polynomial_Odegree @t10 @t161)) % 2.13/2.38 (define @t935 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t157 @t119)) % 2.13/2.38 (define @t936 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t835 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t140 @t112)) @t112)) % 2.13/2.38 (define @t937 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t835 @t140) @t112)) % 2.13/2.38 (define @t938 () (@list @t157 @t119 @t197)) % 2.13/2.38 (define @t939 () (@list @t83)) % 2.13/2.38 (define @t940 () (@list @t640 @t215)) % 2.13/2.38 (define @t941 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t157 @t119)) % 2.13/2.38 (define @t942 () (= @t935 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t941 @t119))) % 2.13/2.38 (define @t943 () (tptp.c_Nat_OSuc @t935)) % 2.13/2.38 (define @t944 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t397 @t119)) % 2.13/2.38 (define @t945 () (= @t943 @t119)) % 2.13/2.38 (define @t946 () (=> @t182 (= @t935 @t157))) % 2.13/2.38 (define @t947 () (=> @t466 @t942)) % 2.13/2.38 (define @t948 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t52 @t140)) % 2.13/2.38 (define @t949 () (@list @t52 @t140)) % 2.13/2.38 (define @t950 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t52)) % 2.13/2.38 (define @t951 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t140)) % 2.13/2.38 (define @t952 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t12 @t157)) % 2.13/2.38 (define @t953 () (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t197 @t662) @t773))) % 2.13/2.38 (define @t954 () (@list @t662 @t197)) % 2.13/2.38 (define @t955 () (tptp.c_Groups_Ominus__class_Ominus @t10 @t52 @t140)) % 2.13/2.38 (define @t956 () (tptp.c_Divides_Odiv__class_Omod @t10 @t955 @t112)) % 2.13/2.38 (define @t957 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t157 @t119)) % 2.13/2.38 (define @t958 () (@var "V_f" $$unsorted)) % 2.13/2.38 (define @t959 () (tptp.hAPP @t382 @t958)) % 2.13/2.38 (define @t960 () (tptp.hAPP @t382 @t197)) % 2.13/2.38 (define @t961 () (@var "V_e_2" $$unsorted)) % 2.13/2.38 (define @t962 () (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP (tptp.hAPP @t402 (tptp.c_Groups_Ominus__class_Ominus @t10 @t91 @t32)) @t961) @t640)) % 2.13/2.38 (define @t963 () (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP @t467 @t961) @t640)) % 2.13/2.38 (define @t964 () (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP @t450 @t961) @t58)) % 2.13/2.38 (define @t965 () (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t964 @t963)) % 2.13/2.38 (define @t966 () (@list @t640 @t91 @t58 @t961 @t32 @t10)) % 2.13/2.38 (define @t967 () (tptp.c_Groups_Ominus__class_Ominus @t10 @t32 @t91)) % 2.13/2.38 (define @t968 () (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP (tptp.hAPP @t402 @t967) @t961) @t58)) % 2.13/2.38 (define @t969 () (tptp.c_Orderings_Oord__class_Oless @t10 @t964 @t963)) % 2.13/2.38 (define @t970 () (tptp.c_Groups_Ominus__class_Ominus @t10 @t12 @t161)) % 2.13/2.38 (define @t971 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t232 @t197)) % 2.13/2.38 (define @t972 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t197 @t232)) % 2.13/2.38 (define @t973 () (@list @t183 @t232 @t197)) % 2.13/2.38 (define @t974 () (@var "V_i_2" $$unsorted)) % 2.13/2.38 (define @t975 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t974 @t643)) % 2.13/2.38 (define @t976 () (@var "V_j_2" $$unsorted)) % 2.13/2.38 (define @t977 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t976 @t643)) % 2.13/2.38 (define @t978 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t119 @t941) @t157)) % 2.13/2.38 (define @t979 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t735 @t197)) % 2.13/2.38 (define @t980 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t183 @t971)) % 2.13/2.38 (define @t981 () (@list @t643 @t976 @t974)) % 2.13/2.38 (define @t982 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t756 @t197)) % 2.13/2.38 (define @t983 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t971 @t183)) % 2.13/2.38 (define @t984 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t662 @t157)) % 2.13/2.38 (define @t985 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t662 @t119)) % 2.13/2.38 (define @t986 () (@list @t662 @t119 @t157)) % 2.13/2.38 (define @t987 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t170 @t643)) % 2.13/2.38 (define @t988 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t215 @t643)) % 2.13/2.38 (define @t989 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t643 @t170)) % 2.13/2.38 (define @t990 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t643 @t215)) % 2.13/2.38 (define @t991 () (= @t967 (tptp.c_Groups_Ominus__class_Ominus @t10 @t58 @t640))) % 2.13/2.38 (define @t992 () (= @t967 @t11)) % 2.13/2.38 (define @t993 () (tptp.hAPP @t402 (tptp.c_Groups_Ominus__class_Ominus @t10 @t12 @t52))) % 2.13/2.38 (define @t994 () (tptp.hAPP @t993 @t140)) % 2.13/2.38 (define @t995 () (tptp.c_Groups_Ominus__class_Ominus @t10 @t161 @t140)) % 2.13/2.38 (define @t996 () (tptp.c_Groups_Ominus__class_Ominus @t10 @t421 @t427)) % 2.13/2.38 (define @t997 () (@list @t140 @t52 @t161 @t12 @t10)) % 2.13/2.38 (define @t998 () (= @t964 @t963)) % 2.13/2.38 (define @t999 () (= @t955 (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t313))) % 2.13/2.38 (define @t1000 () (@var "T_1" $$unsorted)) % 2.13/2.38 (define @t1001 () (tptp.tc_Polynomial_Opoly @t1000)) % 2.13/2.38 (define @t1002 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1000)) % 2.13/2.38 (define @t1003 () (@list @t1000)) % 2.13/2.38 (define @t1004 () (@var "T_2" $$unsorted)) % 2.13/2.38 (define @t1005 () (tptp.tc_fun @t1004 @t1000)) % 2.13/2.38 (define @t1006 () (@list @t1004 @t1000)) % 2.13/2.38 (define @t1007 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 2.13/2.38 (define @t1008 () (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 2.13/2.38 (define @t1009 () (tptp.class_Rings_Oidom @t1000)) % 2.13/2.38 (define @t1010 () (tptp.class_Rings_Olinordered__idom @t1000)) % 2.13/2.38 (define @t1011 () (tptp.class_Rings_Ocomm__semiring__0 @t1000)) % 2.13/2.38 (define @t1012 () (tptp.class_Rings_Ocomm__semiring__1 @t1000)) % 2.13/2.38 (define @t1013 () (tptp.class_Groups_Ocomm__monoid__add @t1000)) % 2.13/2.38 (define @t1014 () (tptp.class_Rings_Ocomm__semiring__1 @t1001)) % 2.13/2.38 (define @t1015 () (forall @t1003 (=> @t1012 @t1014))) % 2.13/2.38 (define @t1016 () (tptp.class_Fields_Ofield @t1000)) % 2.13/2.38 (define @t1017 () (tptp.class_Groups_Oab__group__add @t1000)) % 2.13/2.38 (define @t1018 () (tptp.class_Rings_Ocomm__ring__1 @t1000)) % 2.13/2.38 (define @t1019 () (tptp.class_Rings_Ocomm__ring @t1000)) % 2.13/2.38 (define @t1020 () (@var "V_x_2" $$unsorted)) % 2.13/2.38 (define @t1021 () (= @t1020 @t88)) % 2.13/2.38 (define @t1022 () (tptp.hBOOL (tptp.c_fequal @t1020 @t88))) % 2.13/2.38 (define @t1023 () (@list @t88 @t1020)) % 2.13/2.38 (define @t1024 () (tptp.hAPP @t9 tptp.v_x____)) % 2.13/2.38 (define @t1025 () (not @t209)) % 2.13/2.38 (define @t1026 () (not @t211)) % 2.13/2.38 (define @t1027 () (not @t99)) % 2.13/2.38 (define @t1028 () (or @t1026 @t1025 @t207)) % 2.13/2.38 (define @t1029 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex tptp.v_x____) @t246)) % 2.13/2.38 (define @t1030 () (tptp.class_Rings_Ocomm__semiring__1 @t18)) % 2.13/2.38 (define @t1031 () (not @t1007)) % 2.13/2.38 (define @t1032 () (or @t1031 @t1030)) % 2.13/2.38 (define @t1033 () (@list false false)) % 2.13/2.38 (define @t1034 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 tptp.v_s____) @t263))) % 2.13/2.38 (define @t1035 () (not @t1030)) % 2.13/2.38 (define @t1036 () (or @t1035 @t1034)) % 2.13/2.38 (define @t1037 () (= @t11 @t329)) % 2.13/2.38 (define @t1038 () (= @t328 @t1037)) % 2.13/2.38 (define @t1039 () (tptp.hAPP @t55 @t1029)) % 2.13/2.38 (define @t1040 () (tptp.hBOOL (tptp.hAPP @t1039 tptp.v_s____))) % 2.13/2.38 (define @t1041 () (= @t7 @t8)) % 2.13/2.38 (define @t1042 () (not @t1008)) % 2.13/2.38 (define @t1043 () (or @t1042 (= @t1040 @t1041))) % 2.13/2.38 (define @t1044 () (forall @t59 (or (not @t24) @t1038))) % 2.13/2.38 (define @t1045 () (= @t1041 @t1040)) % 2.13/2.38 (define @t1046 () (or @t1042 @t1045)) % 2.13/2.38 (define @t1047 () (@list false)) % 2.13/2.38 (define @t1048 () (@list @t1044)) % 2.13/2.38 (define @t1049 () (tptp.hBOOL (tptp.hAPP @t1039 @t263))) % 2.13/2.38 (define @t1050 () (not @t1034)) % 2.13/2.38 (define @t1051 () (not @t1040)) % 2.13/2.38 (define @t1052 () (or @t1035 @t1051 @t1050 @t1049)) % 2.13/2.38 (define @t1053 () (tptp.hAPP @t1039 tptp.v_pa____)) % 2.13/2.38 (define @t1054 () (tptp.hBOOL @t1053)) % 2.13/2.38 (define @t1055 () (= @t7 @t1024)) % 2.13/2.38 (define @t1056 () (or @t1042 (= @t1054 @t1055))) % 2.13/2.38 (define @t1057 () (= @t1055 @t1054)) % 2.13/2.38 (define @t1058 () (or @t1042 @t1057)) % 2.13/2.38 (define @t1059 () (not @t1054)) % 2.13/2.38 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 2.13/2.38 (assume @p2 (forall @t6 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p) @t3) @t7) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q) @t3) @t7)))) % 2.13/2.38 (assume @p3 (= @t8 @t7)) % 2.13/2.38 (assume @p4 (forall @t6 (=> (= (tptp.hAPP @t9 @t3) @t7) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_qa____) @t3) @t7)))) % 2.13/2.38 (assume @p5 (= (tptp.hAPP @t9 tptp.v_a____) @t7)) % 2.13/2.38 (assume @p6 (not (= tptp.v_x____ tptp.v_a____))) % 2.13/2.38 (assume @p7 (forall @t17 (=> @t16 (= (tptp.hAPP @t15 @t12) @t11)))) % 2.13/2.38 (assume @p8 (not (= tptp.v_pa____ @t19))) % 2.13/2.38 (assume @p9 (forall @t26 (=> @t25 (= (= @t23 (tptp.c_Polynomial_Opoly @t10 @t20)) @t22)))) % 2.13/2.38 (assume @p10 (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_pa____) tptp.v_na____)) % 2.13/2.38 (assume @p11 (forall @t30 (=> @t29 (= (= @t11 @t27) @t28)))) % 2.13/2.38 (assume @p12 (forall (@list @t32 @t21 @t10) (=> @t24 (= (= (tptp.hAPP @t23 @t32) @t11) (or @t33 (not (= (tptp.c_Polynomial_Oorder @t10 @t32 @t21) @t31))))))) % 2.13/2.38 (assume @p13 (not (= tptp.v_n @t31))) % 2.13/2.38 (assume @p14 (forall (@list @t21) (=> (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t35)) (exists @t36 (= (tptp.hAPP @t35 @t34) @t7))))) % 2.13/2.38 (assume @p15 (not (= @t37 @t31))) % 2.13/2.38 (assume @p16 (forall @t43 (=> @t16 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t10 @t42) @t12) (tptp.hAPP @t41 @t39))))) % 2.13/2.38 (assume @p17 (not (= tptp.v_na____ @t31))) % 2.13/2.38 (assume @p18 (not @t44)) % 2.13/2.38 (assume @p19 (not @t46)) % 2.13/2.38 (assume @p20 (not (= tptp.v_s____ @t19))) % 2.13/2.38 (assume @p21 (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_p) tptp.v_n)) % 2.13/2.38 (assume @p22 (forall @t47 (=> @t29 (= (tptp.c_Polynomial_Odegree @t10 @t14) @t31)))) % 2.13/2.38 (assume @p23 (forall @t48 (=> @t16 (= (tptp.c_Polynomial_Opcompose @t10 @t14 @t38) @t14)))) % 2.13/2.38 (assume @p24 (forall @t49 (=> @t25 (= (= @t23 @t15) @t33)))) % 2.13/2.38 (assume @p25 (forall (@list @t2 @t51 @t10) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t10 @t51 @t2) (forall (@list @t3 @t50) (= @t5 (tptp.hAPP @t2 @t50)))))) % 2.13/2.38 (assume @p26 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t45 tptp.v_na____)) % 2.13/2.38 (assume @p27 (forall @t53 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Oorder tptp.tc_Complex_Ocomplex @t52 tptp.v_pa____) tptp.v_na____))) % 2.13/2.38 (assume @p28 (=> @t46 @t56)) % 2.13/2.38 (assume @p29 (forall @t59 (=> @t16 (= (= (tptp.c_Polynomial_Osynthetic__div @t10 @t21 @t58) @t14) (= @t57 @t31))))) % 2.13/2.38 (assume @p30 (=> @t44 @t56)) % 2.13/2.38 (assume @p31 (forall @t49 (=> @t29 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t10 @t21) @t31) @t33)))) % 2.13/2.38 (assume @p32 (forall (@list @t10 @t60 @t2 @t51) (=> @t64 (=> @t63 (= (tptp.c_Polynomial_Opoly__rec @t10 @t51 @t60 @t2 @t62) @t60))))) % 2.13/2.38 (assume @p33 (forall @t69 (=> @t24 (=> @t68 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t66 @t65))))) % 2.13/2.38 (assume @p34 (forall @t49 (=> @t29 (= (= @t71 @t11) @t33)))) % 2.13/2.38 (assume @p35 (forall @t74 (=> @t29 (=> @t68 (not (= @t73 @t11)))))) % 2.13/2.38 (assume @p36 (forall @t79 (=> @t24 (and (=> @t77 (= @t76 @t31)) (=> @t78 (= @t76 @t65)))))) % 2.13/2.38 (assume @p37 (forall @t81 (=> @t29 (= (tptp.c_Polynomial_Odegree @t10 @t80) @t31)))) % 2.13/2.38 (assume @p38 (forall @t85 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t82 tptp.v_na____) (forall (@list @t84 @t83) (=> (forall @t6 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t84) @t3) @t7) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t83) @t3) @t7))) (=> (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t84) @t82) (=> (not (= @t82 @t31)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t84) (tptp.hAPP (tptp.hAPP @t54 @t83) @t82)))))))))) % 2.13/2.38 (assume @p39 (forall @t26 (=> @t29 (= @t22 (forall @t87 (= (tptp.hAPP @t70 @t86) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t10 @t20) @t86))))))) % 2.13/2.38 (assume @p40 (forall @t90 (=> @t29 (= (= (tptp.c_Polynomial_Ocoeff @t10 @t27) (tptp.c_Polynomial_Ocoeff @t10 @t88)) @t89)))) % 2.13/2.38 (assume @p41 (forall (@list @t20 @t91 @t21 @t32 @t10) (=> @t29 (= (= @t93 (tptp.c_Polynomial_OpCons @t10 @t91 @t20)) (and @t92 @t22))))) % 2.13/2.38 (assume @p42 (forall @t100 (=> @t99 (=> @t98 @t97)))) % 2.13/2.38 (assume @p43 (forall @t102 (=> @t99 (=> @t101 @t98)))) % 2.13/2.38 (assume @p44 (forall @t104 (=> @t103 (=> @t97 (=> @t78 @t98))))) % 2.13/2.38 (assume @p45 (forall @t100 (=> @t103 (=> @t98 (=> @t78 @t101))))) % 2.13/2.38 (assume @p46 (forall @t109 (=> @t103 (=> @t108 (= (tptp.hBOOL (tptp.hAPP @t105 (tptp.c_Polynomial_Osmult @t10 @t32 @t20))) @t106))))) % 2.13/2.38 (assume @p47 (forall @t79 (=> @t29 (= (tptp.hAPP @t111 @t31) @t52)))) % 2.13/2.38 (assume @p48 (forall @t114 (=> @t16 (=> (= @t113 @t110) @t67)))) % 2.13/2.38 (assume @p49 (forall @t118 (=> @t24 (=> (= @t73 @t117) (=> @t98 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t95 @t38) @t40)) (= @t40 @t38))))))) % 2.13/2.38 (assume @p50 (forall (@list @t12 @t119 @t40 @t10) (=> @t99 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t10 @t123) @t12) (tptp.hAPP (tptp.hAPP @t121 @t120) @t119))))) % 2.13/2.38 (assume @p51 (forall @t79 (=> @t16 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t76 @t65)))) % 2.13/2.38 (assume @p52 (forall (@list @t21 @t32 @t2 @t60 @t10 @t51) (=> @t64 (= @t126 (tptp.hAPP @t125 (tptp.c_If @t10 (tptp.c_fequal @t21 @t62) @t60 @t124)))))) % 2.13/2.38 (assume @p53 (forall (@list @t112 @t40 @t52 @t10) (=> @t16 (= (tptp.c_Polynomial_Osynthetic__div @t10 @t110 @t112) @t129)))) % 2.13/2.38 (assume @p54 (forall @t109 (=> @t103 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t95 @t131) @t20)) (and (=> @t107 @t130) (=> @t108 @t106)))))) % 2.13/2.38 (assume @p55 (forall @t136 (=> @t29 (=> @t135 (=> @t134 (or @t67 @t132)))))) % 2.13/2.38 (assume @p56 (forall @t136 (=> @t29 (=> @t132 @t134)))) % 2.13/2.38 (assume @p57 (forall @t136 (=> @t29 (=> (not @t134) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t119 @t65))))) % 2.13/2.38 (assume @p58 (forall @t118 (=> @t24 (=> @t98 (=> @t137 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t65 @t115)))))) % 2.13/2.38 (assume @p59 (forall @t81 (=> @t16 (= (tptp.c_Polynomial_Osmult @t10 @t52 @t14) @t14)))) % 2.13/2.38 (assume @p60 (forall (@list @t21 @t32 @t10 @t60 @t2 @t51) (=> @t64 (=> @t63 (= @t126 (tptp.hAPP @t125 @t124)))))) % 2.13/2.38 (assume @p61 (forall @t47 (=> @t29 (= (tptp.c_Polynomial_OpCons @t10 @t11 @t14) @t14)))) % 2.13/2.38 (assume @p62 (forall @t138 (=> @t29 (= (= @t93 @t14) (and @t107 @t33))))) % 2.13/2.38 (assume @p63 (forall @t139 (=> @t29 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t10 @t14) @t119) @t11)))) % 2.13/2.38 (assume @p64 (forall @t74 (=> @t16 (= (tptp.c_Polynomial_Osmult @t10 @t11 @t40) @t14)))) % 2.13/2.38 (assume @p65 (forall @t138 (=> @t24 (= (= @t131 @t14) (or @t107 @t33))))) % 2.13/2.38 (assume @p66 (forall (@list @t112 @t10) (=> @t16 (= (tptp.c_Polynomial_Osynthetic__div @t10 @t14 @t112) @t14)))) % 2.13/2.38 (assume @p67 (forall @t150 (=> @t149 (=> @t148 (=> @t147 (=> @t146 @t145)))))) % 2.13/2.38 (assume @p68 (forall @t151 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t31 @t119))) % 2.13/2.38 (assume @p69 (forall @t151 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119 @t31)))) % 2.13/2.38 (assume @p70 (forall @t154 (=> @t149 (=> (= @t144 @t142) (=> @t147 (=> @t153 (=> @t146 @t152))))))) % 2.13/2.38 (assume @p71 (forall @t81 (=> @t99 (tptp.hBOOL (tptp.hAPP @t156 @t11))))) % 2.13/2.38 (assume @p72 (forall @t154 (=> @t149 (=> @t145 (=> @t153 @t148))))) % 2.13/2.38 (assume @p73 (forall (@list @t157 @t140 @t119 @t52 @t10) (=> @t99 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t155 @t144) @t140)) (=> @t160 (tptp.hBOOL (tptp.hAPP @t159 @t140))))))) % 2.13/2.38 (assume @p74 (forall (@list @t157 @t119 @t161 @t12 @t10) (=> @t99 (=> @t168 (=> @t166 (tptp.hBOOL (tptp.hAPP @t165 (tptp.hAPP @t162 @t157)))))))) % 2.13/2.38 (assume @p75 (forall @t169 (=> @t99 (=> @t160 (tptp.hBOOL (tptp.hAPP @t159 @t144)))))) % 2.13/2.38 (assume @p76 (forall @t179 (=> (and @t178 @t177 @t176 @t175) (= (= @t174 @t11) (and @t107 @t172))))) % 2.13/2.38 (assume @p77 (forall @t181 (=> @t149 (=> @t180 (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t144))))) % 2.13/2.38 (assume @p78 (forall @t188 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t183) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t187 @t186) @t182)))) % 2.13/2.38 (assume @p79 (forall @t192 (= @t191 (or @t189 @t171)))) % 2.13/2.38 (assume @p80 (forall @t196 (=> @t195 (=> @t182 (not @t194))))) % 2.13/2.38 (assume @p81 (forall (@list @t119 @t197) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t197) @t119)) (=> @t146 @t198)))) % 2.13/2.38 (assume @p82 (forall @t206 (=> @t205 @t204))) % 2.13/2.38 (assume @p83 (forall @t81 (=> @t99 (tptp.hBOOL (tptp.hAPP @t156 @t52))))) % 2.13/2.38 (assume @p84 @t214) % 2.13/2.38 (assume @p85 (forall @t151 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119 @t119)))) % 2.13/2.38 (assume @p86 (forall @t220 (= @t219 (or @t217 @t216)))) % 2.13/2.39 (assume @p87 (forall @t222 (=> @t203 (=> (not @t221) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t161 @t12))))) % 2.13/2.39 (assume @p88 (forall @t226 (=> @t225 @t224))) % 2.13/2.39 (assume @p89 (forall (@list @t227 @t228) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t228 @t227) (not (= @t228 @t227))))) % 2.13/2.39 (assume @p90 (forall (@list @t229 @t170 @t215) (=> (=> @t217 @t231) (=> (=> @t218 @t231) (=> (=> @t216 @t231) @t231))))) % 2.13/2.39 (assume @p91 (forall @t151 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t119 @t119))) % 2.13/2.39 (assume @p92 (forall @t196 (or @t160 @t166))) % 2.13/2.39 (assume @p93 (forall @t196 (=> @t223 @t160))) % 2.13/2.39 (assume @p94 (forall @t234 (=> @t233 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t232 @t197) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t183 @t197))))) % 2.13/2.39 (assume @p95 (forall @t196 (=> @t160 (=> @t166 @t223)))) % 2.13/2.39 (assume @p96 (forall @t81 (=> @t99 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t155 @t11) @t52)) @t77)))) % 2.13/2.39 (assume @p97 (forall @t181 (=> @t235 (=> @t78 (not (= @t144 @t11)))))) % 2.13/2.39 (assume @p98 (forall @t237 (= @t172 @t236))) % 2.13/2.39 (assume @p99 (forall @t196 (=> @t182 @t239))) % 2.13/2.39 (assume @p100 (forall @t151 (=> @t239 @t146))) % 2.13/2.39 (assume @p101 (forall (@list @t119 @t161 @t12 @t10) (=> @t99 (=> @t168 (tptp.hBOOL (tptp.hAPP @t165 (tptp.hAPP @t162 @t119))))))) % 2.13/2.39 (assume @p102 (forall @t237 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t170 @t31) @t171))) % 2.13/2.39 (assume @p103 (forall @t220 (= @t217 (and @t240 @t219)))) % 2.13/2.39 (assume @p104 (forall @t220 (= @t240 @t241))) % 2.13/2.39 (assume @p105 (forall @t196 (=> @t182 @t160))) % 2.13/2.39 (assume @p106 (forall @t196 (=> @t160 (=> @t224 @t182)))) % 2.13/2.39 (assume @p107 (forall @t196 (=> (or @t182 @t223) @t160))) % 2.13/2.39 (assume @p108 (forall @t150 (=> @t149 (=> @t242 (=> @t147 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t144 @t142)))))) % 2.13/2.39 (assume @p109 (forall @t181 (=> @t149 (=> @t147 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t144))))) % 2.13/2.39 (assume @p110 (forall @t17 (=> @t243 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t12 @t12)))) % 2.13/2.39 (assume @p111 (forall @t222 (=> @t221 @t244))) % 2.13/2.39 (assume @p112 (forall @t49 (=> @t205 (= @t245 (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t71))))) % 2.13/2.39 (assume @p113 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t249) tptp.v_pa____))) % 2.13/2.39 (assume @p114 (forall @t192 (= @t191 (or @t171 @t189)))) % 2.13/2.39 (assume @p115 (forall @t226 (=> @t146 (=> @t250 @t195)))) % 2.13/2.39 (assume @p116 (forall @t138 (=> @t205 (= (tptp.c_Polynomial_Opos__poly @t10 @t93) (or @t245 (and @t33 @t251)))))) % 2.13/2.39 (assume @p117 (forall @t90 (=> @t255 (= @t254 @t252)))) % 2.13/2.39 (assume @p118 (forall @t90 (=> @t255 (= (not @t257) @t256)))) % 2.13/2.39 (assume @p119 (forall @t206 (=> @t255 (or @t258 @t199)))) % 2.13/2.39 (assume @p120 (forall @t260 (tptp.hBOOL (tptp.hAPP @t259 @t12)))) % 2.13/2.39 (assume @p121 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 @t247) tptp.v_qa____))) % 2.13/2.39 (assume @p122 (= tptp.v_pa____ @t263)) % 2.13/2.39 (assume @p123 (forall @t222 (=> @t267 (not (and @t266 (not @t264)))))) % 2.13/2.39 (assume @p124 (forall @t274 (=> @t267 @t273))) % 2.13/2.39 (assume @p125 (forall @t280 (=> @t279 (not (and @t278 (not @t276)))))) % 2.13/2.39 (assume @p126 (forall @t274 (=> @t267 (=> @t272 @t271)))) % 2.13/2.39 (assume @p127 (forall @t285 (=> @t279 (=> @t284 @t283)))) % 2.13/2.39 (assume @p128 (forall @t222 (=> @t267 @t286))) % 2.13/2.39 (assume @p129 (forall @t222 (=> @t267 @t203))) % 2.13/2.39 (assume @p130 (forall @t222 (=> @t267 @t264))) % 2.13/2.39 (assume @p131 (forall @t274 (=> @t264 @t273))) % 2.13/2.39 (assume @p132 (forall @t285 (=> @t152 (=> (and @t287 (not (tptp.hBOOL (tptp.hAPP @t281 @t140)))) @t283)))) % 2.13/2.39 (assume @p133 (forall @t274 (=> @t264 (=> @t272 @t270)))) % 2.13/2.39 (assume @p134 (forall @t222 (=> @t264 (=> @t266 @t202)))) % 2.13/2.39 (assume @p135 (forall @t196 (=> @t250 (=> @t194 @t223)))) % 2.13/2.39 (assume @p136 (forall @t285 (=> @t276 (=> @t284 @t282)))) % 2.13/2.39 (assume @p137 (forall @t285 (=> @t152 (=> @t287 @t282)))) % 2.13/2.39 (assume @p138 (forall @t280 (=> @t276 (=> @t288 @t279)))) % 2.13/2.39 (assume @p139 (forall @t222 (=> @t264 (or @t267 @t202)))) % 2.13/2.39 (assume @p140 (forall (@list @t27 @t88) (=> @t290 (= @t289 @t89)))) % 2.13/2.39 (assume @p141 (forall @t222 (=> @t202 @t264))) % 2.13/2.39 (assume @p142 (forall @t280 (=> @t288 (=> @t276 @t279)))) % 2.13/2.39 (assume @p143 (forall @t293 (= @t292 (and @t289 @t291)))) % 2.13/2.39 (assume @p144 (forall @t293 (= @t289 (or @t292 @t89)))) % 2.13/2.39 (assume @p145 (forall @t293 (= @t89 (and @t289 @t290)))) % 2.13/2.39 (assume @p146 (forall @t81 (=> @t295 (= (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t294) @t52)))) % 2.13/2.39 (assume @p147 (forall @t30 (=> (tptp.class_Groups_Oone @t10) (= (= @t296 @t27) @t297)))) % 2.13/2.39 (assume @p148 (forall @t301 (=> @t295 (= @t300 (= @t91 @t298))))) % 2.13/2.39 (assume @p149 (forall @t301 (=> @t295 (= (= @t298 @t91) (= @t299 @t32))))) % 2.13/2.39 (assume @p150 (forall @t301 (=> @t295 (= (= @t298 @t299) @t92)))) % 2.13/2.39 (assume @p151 (forall @t79 (=> @t303 (= (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t110) (tptp.c_Polynomial_OpCons @t10 @t294 @t302))))) % 2.13/2.39 (assume @p152 (forall (@list @t40 @t52 @t51) (=> (tptp.class_Groups_Oab__group__add @t51) (= (tptp.c_Groups_Ouminus__class_Ouminus @t61 (tptp.c_Polynomial_OpCons @t51 @t52 @t40)) (tptp.c_Polynomial_OpCons @t51 (tptp.c_Groups_Ouminus__class_Ouminus @t51 @t52) (tptp.c_Groups_Ouminus__class_Ouminus @t61 @t40)))))) % 2.13/2.39 (assume @p153 (forall (@list @t12 @t40 @t10) (=> @t304 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t10 @t302) @t12) (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t120))))) % 2.13/2.39 (assume @p154 (forall @t136 (=> @t303 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t10 @t302) @t119) (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t133))))) % 2.13/2.39 (assume @p155 (forall @t79 (=> @t304 (= (tptp.c_Polynomial_Osmult @t10 @t294 @t40) @t305)))) % 2.13/2.39 (assume @p156 (forall @t17 (=> @t99 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t10 @t306) @t12) @t296)))) % 2.13/2.39 (assume @p157 (forall @t47 (=> @t99 (= @t306 @t307)))) % 2.13/2.39 (assume @p158 (forall @t47 (=> @t295 (= (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t11) @t11)))) % 2.13/2.39 (assume @p159 (forall @t308 (=> @t295 (= (= @t11 @t298) (= @t11 @t32))))) % 2.13/2.39 (assume @p160 (forall @t308 (=> @t309 (= (= @t32 @t298) @t107)))) % 2.13/2.39 (assume @p161 (forall @t308 (=> @t295 (= (= @t298 @t11) @t107)))) % 2.13/2.39 (assume @p162 (forall @t308 (=> @t309 (= (= @t298 @t32) @t107)))) % 2.13/2.39 (assume @p163 (forall @t301 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t32 @t299) (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t91 @t298))))) % 2.13/2.39 (assume @p164 (forall @t301 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t298 @t91) (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t299 @t32))))) % 2.13/2.39 (assume @p165 (forall @t312 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t299 @t298) @t311)))) % 2.13/2.39 (assume @p166 (forall @t314 (=> @t310 (=> @t242 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t313 @t294))))) % 2.13/2.39 (assume @p167 (forall @t301 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t32 @t299) (tptp.c_Orderings_Oord__class_Oless @t10 @t91 @t298))))) % 2.13/2.39 (assume @p168 (forall @t301 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t298 @t91) (tptp.c_Orderings_Oord__class_Oless @t10 @t299 @t32))))) % 2.13/2.39 (assume @p169 (forall @t312 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t299 @t298) @t315)))) % 2.13/2.39 (assume @p170 (forall @t90 (=> @t319 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t155 @t318) @t88)) @t317)))) % 2.13/2.39 (assume @p171 (forall @t90 (=> @t319 (= (tptp.hBOOL (tptp.hAPP @t316 @t320)) @t317)))) % 2.13/2.39 (assume @p172 (forall @t47 (=> @t175 (not (= @t296 @t11))))) % 2.13/2.39 (assume @p173 (forall @t47 (=> @t175 (not (= @t11 @t296))))) % 2.13/2.39 (assume @p174 (forall @t81 (=> @t99 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t155 @t296) @t52))))) % 2.13/2.39 (assume @p175 (forall @t139 (=> @t321 (= (tptp.hAPP (tptp.hAPP @t121 @t296) @t119) @t296)))) % 2.13/2.39 (assume @p176 (forall @t74 (=> @t99 (= (tptp.c_Polynomial_Osmult @t10 @t296 @t40) @t40)))) % 2.13/2.39 (assume @p177 (forall @t139 (=> @t99 (and (=> @t238 (= @t322 @t296)) (=> @t239 (= @t322 @t11)))))) % 2.13/2.39 (assume @p178 (forall @t308 (=> @t309 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t298 @t32) @t323)))) % 2.13/2.39 (assume @p179 (forall @t308 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t298 @t11) @t323)))) % 2.13/2.39 (assume @p180 (forall @t308 (=> @t309 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t32 @t298) @t324)))) % 2.13/2.39 (assume @p181 (forall @t308 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t298) @t324)))) % 2.13/2.39 (assume @p182 (forall @t308 (=> @t309 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t298 @t32) @t251)))) % 2.13/2.39 (assume @p183 (forall @t308 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t298 @t11) @t251)))) % 2.13/2.39 (assume @p184 (forall @t308 (=> @t310 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t298) @t325)))) % 2.13/2.39 (assume @p185 (forall @t308 (=> @t205 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t32 @t298) @t325)))) % 2.13/2.39 (assume @p186 (forall @t47 (=> @t149 (not (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t296 @t11))))) % 2.13/2.39 (assume @p187 (forall @t47 (=> @t149 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t296)))) % 2.13/2.39 (assume @p188 (forall @t47 (=> @t149 (not (tptp.c_Orderings_Oord__class_Oless @t10 @t296 @t11))))) % 2.13/2.39 (assume @p189 (forall @t47 (=> @t149 (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t296)))) % 2.13/2.39 (assume @p190 (forall @t47 (=> @t205 (not (tptp.c_Polynomial_Opos__poly @t10 @t14))))) % 2.13/2.39 (assume @p191 (forall @t181 (=> @t149 (=> @t326 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t296 @t144))))) % 2.13/2.39 (assume @p192 (forall (@list @t170 @t215 @t32 @t10) (=> @t149 (=> (tptp.c_Orderings_Oord__class_Oless @t10 @t296 @t32) (= (= (tptp.hAPP @t173 @t215) @t174) @t218))))) % 2.13/2.39 (assume @p193 (forall @t81 (=> @t178 (= (tptp.hAPP @t143 @t31) @t296)))) % 2.13/2.39 (assume @p194 (forall (@list @t21 @t58 @t10) (=> @t24 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t95 (tptp.c_Polynomial_OpCons @t10 @t58 @t307)) @t21)) (= (tptp.hAPP @t23 @t327) @t11))))) % 2.13/2.39 (assume @p195 @t332) % 2.13/2.39 (assume @p196 (forall @t79 (=> @t24 @t334))) % 2.13/2.39 (assume @p197 (forall @t139 (=> @t338 (and (=> @t238 (= @t336 @t296)) (=> @t239 (= @t336 @t11)))))) % 2.13/2.39 (assume @p198 (forall @t343 (=> @t149 (=> @t342 (=> @t341 (tptp.c_Orderings_Oord__class_Oless @t10 @t144 @t340)))))) % 2.13/2.39 (assume @p199 (forall @t344 (=> @t149 (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless @t10 @t158 @t144) @t182))))) % 2.13/2.39 (assume @p200 (forall @t349 (=> @t149 (=> @t348 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t347 @t346) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t27 @t88)))))) % 2.13/2.39 (assume @p201 (forall @t343 (=> @t149 (=> @t350 (=> @t326 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t144 @t340)))))) % 2.13/2.39 (assume @p202 (forall @t206 (=> @t255 (=> (not @t258) @t351)))) % 2.13/2.39 (assume @p203 (forall (@list @t27 @t1 @t2 @t10 @t51) (=> @t355 (=> @t354 (tptp.c_Orderings_Oord__class_Oless__eq @t51 @t352 (tptp.hAPP @t1 @t27)))))) % 2.13/2.39 (assume @p204 (forall @t358 (=> @t357 (=> @t351 (=> @t356 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t268 @t12)))))) % 2.13/2.39 (assume @p205 (forall @t359 (=> @t357 (=> @t351 (=> @t258 @t202))))) % 2.13/2.39 (assume @p206 (forall @t361 (=> @t243 (=> @t258 (=> @t360 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t12 @t268)))))) % 2.13/2.39 (assume @p207 (forall @t206 (=> @t357 (=> @t258 (=> @t351 @t202))))) % 2.13/2.39 (assume @p208 (forall @t364 (=> @t357 (=> @t363 (=> @t284 @t362))))) % 2.13/2.39 (assume @p209 (forall @t213 (=> @t366 (=> @t242 (=> @t284 @t365))))) % 2.13/2.39 (assume @p210 (forall @t213 (=> @t357 (=> @t152 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t112 @t140) @t362))))) % 2.13/2.39 (assume @p211 (forall @t213 (=> @t366 (=> @t152 (=> @t367 @t365))))) % 2.13/2.39 (assume @p212 (forall @t369 (=> @t357 (=> @t252 @t368)))) % 2.13/2.39 (assume @p213 (forall @t206 (=> @t243 (=> @t202 @t258)))) % 2.13/2.39 (assume @p214 (forall @t90 (=> @t357 (= @t89 (and @t257 @t252))))) % 2.13/2.39 (assume @p215 (forall @t206 (=> @t255 (or @t258 @t351)))) % 2.13/2.39 (assume @p216 (forall @t370 (=> @t355 (= @t354 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t51 @t5 @t4)))))) % 2.13/2.39 (assume @p217 (forall @t206 (=> @t255 (=> @t201 (=> @t203 @t199))))) % 2.13/2.39 (assume @p218 (forall @t206 (=> @t243 (=> @t200 (not @t199))))) % 2.13/2.39 (assume @p219 (forall @t358 (=> @t357 (=> @t199 @t372)))) % 2.13/2.39 (assume @p220 (forall @t361 (=> @t243 (=> @t200 @t374)))) % 2.13/2.39 (assume @p221 (forall @t364 (=> @t357 (=> @t376 (=> @t284 @t375))))) % 2.13/2.39 (assume @p222 (forall @t213 (=> @t366 (=> @t148 (=> @t284 @t377))))) % 2.13/2.39 (assume @p223 (forall @t213 (=> @t357 (=> @t152 (=> (tptp.c_Orderings_Oord__class_Oless @t10 @t112 @t140) @t375))))) % 2.13/2.39 (assume @p224 (forall @t213 (=> @t366 (=> @t152 (=> @t378 @t377))))) % 2.13/2.39 (assume @p225 (forall @t379 (=> @t357 (=> @t376 (not @t148))))) % 2.13/2.39 (assume @p226 (forall @t314 (=> @t243 (=> @t148 (not @t376))))) % 2.13/2.39 (assume @p227 (forall @t206 (=> @t357 (=> @t200 @t286)))) % 2.13/2.39 (assume @p228 (forall @t206 (=> @t357 (=> @t200 @t203)))) % 2.13/2.39 (assume @p229 (forall @t206 (=> @t255 @t204))) % 2.13/2.39 (assume @p230 (forall @t369 (=> @t255 (=> (not @t256) @t380)))) % 2.13/2.39 (assume @p231 (forall @t206 (=> @t255 (or @t200 @t202 @t199)))) % 2.13/2.39 (assume @p232 (forall @t90 (=> @t255 (= @t254 (or @t256 @t89))))) % 2.13/2.39 (assume @p233 (forall @t90 (=> @t255 (= @t291 (or @t253 @t256))))) % 2.13/2.39 (assume @p234 (forall @t17 (=> @t243 (not (tptp.c_Orderings_Oord__class_Oless @t10 @t12 @t12))))) % 2.13/2.39 (assume @p235 (forall @t260 (tptp.hBOOL (tptp.hAPP @t259 @t31)))) % 2.13/2.39 (assume @p236 (forall @t381 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 (tptp.hAPP (tptp.hAPP @t184 @t52) @t119)) (tptp.hAPP (tptp.hAPP @t184 @t140) @t119))) (=> @t239 @t276)))) % 2.13/2.39 (assume @p237 (forall @t381 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t382 (tptp.hAPP (tptp.hAPP @t383 @t52) @t119)) (tptp.hAPP (tptp.hAPP @t383 @t140) @t119))) (=> @t239 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t382 @t52) @t140)))))) % 2.13/2.39 (assume @p238 (forall @t384 (=> @t172 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 (tptp.hAPP (tptp.hAPP @t184 @t32) @t170)) (tptp.hAPP (tptp.hAPP @t184 @t91) @t170))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t32) @t91)))))) % 2.13/2.39 (assume @p239 (forall @t384 (=> @t172 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t382 (tptp.hAPP (tptp.hAPP @t383 @t32) @t170)) (tptp.hAPP (tptp.hAPP @t383 @t91) @t170))) (tptp.hBOOL (tptp.hAPP @t385 @t91)))))) % 2.13/2.39 (assume @p240 (forall @t343 (=> @t149 (=> @t342 (=> @t180 (=> @t386 (tptp.c_Orderings_Oord__class_Oless @t10 @t340 @t144))))))) % 2.13/2.39 (assume @p241 (forall @t343 (=> @t149 (=> @t350 (=> @t147 (=> @t387 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t340 @t144))))))) % 2.13/2.39 (assume @p242 (forall @t344 (=> @t149 (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t158 @t144) @t160))))) % 2.13/2.39 (assume @p243 (forall @t349 (=> @t149 (=> @t348 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t347 @t346) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t27 @t88)))))) % 2.13/2.39 (assume @p244 (forall @t181 (=> @t149 (=> @t341 (=> @t146 (tptp.c_Orderings_Oord__class_Oless @t10 @t296 @t144)))))) % 2.13/2.39 (assume @p245 (forall @t388 (=> @t99 (=> (or @t146 (= @t12 @t296)) (tptp.hBOOL (tptp.hAPP @t167 @t164)))))) % 2.13/2.39 (assume @p246 (forall @t181 (=> @t99 (= (tptp.c_Polynomial_Odegree @t10 @t389) @t119)))) % 2.13/2.39 (assume @p247 (forall @t181 (=> @t99 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t10 @t389) @t119) @t296)))) % 2.13/2.39 (assume @p248 (forall @t358 (=> @t357 (=> @t351 @t372)))) % 2.13/2.39 (assume @p249 (forall @t361 (=> @t243 (=> @t258 @t374)))) % 2.13/2.39 (assume @p250 (forall @t358 (=> @t357 (=> @t199 (=> @t356 @t371))))) % 2.13/2.39 (assume @p251 (forall @t361 (=> @t243 (=> @t200 (=> @t360 @t373))))) % 2.13/2.39 (assume @p252 (forall @t379 (=> @t357 (=> @t363 (=> @t288 @t376))))) % 2.13/2.39 (assume @p253 (forall @t314 (=> @t357 (=> @t242 (=> @t288 @t148))))) % 2.13/2.39 (assume @p254 (forall @t206 (=> @t357 (=> @t258 (or @t200 @t202))))) % 2.13/2.39 (assume @p255 (forall @t90 (=> @t255 (=> @t257 @t380)))) % 2.13/2.39 (assume @p256 (forall @t206 (=> @t243 (=> @t200 @t258)))) % 2.13/2.39 (assume @p257 (forall @t359 (=> @t255 (=> @t351 @t201)))) % 2.13/2.39 (assume @p258 (forall @t314 (=> @t357 (=> @t288 (=> @t363 @t376))))) % 2.13/2.39 (assume @p259 (forall @t314 (=> @t357 (=> @t288 (=> @t242 @t148))))) % 2.13/2.39 (assume @p260 (forall @t90 (=> @t255 (=> @t254 @t368)))) % 2.13/2.39 (assume @p261 (forall @t359 (=> @t255 (=> (not @t351) @t200)))) % 2.13/2.39 (assume @p262 (forall @t206 (=> @t255 (=> @t201 @t351)))) % 2.13/2.39 (assume @p263 (forall @t90 (=> @t357 (= @t257 (or @t253 @t89))))) % 2.13/2.39 (assume @p264 (forall @t90 (=> @t243 (= @t253 (and @t257 (not @t252)))))) % 2.13/2.39 (assume @p265 (forall @t90 (=> @t357 (= @t253 (and @t257 @t291))))) % 2.13/2.39 (assume @p266 (= tptp.v_qa____ (tptp.hAPP @t390 tptp.v_r____))) % 2.13/2.39 (assume @p267 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t55 (tptp.hAPP @t248 (tptp.c_Nat_OSuc @t37))) tptp.v_pa____)))) % 2.13/2.39 (assume @p268 (forall @t17 (=> @t99 (= (tptp.hAPP @t163 @t31) @t296)))) % 2.13/2.39 (assume @p269 (not (forall (@list @t391) (not (= tptp.v_pa____ (tptp.hAPP @t262 @t391)))))) % 2.13/2.39 (assume @p270 (forall @t69 (=> @t24 (=> @t68 @t392)))) % 2.13/2.39 (assume @p271 (forall @t69 (=> @t24 (=> @t68 (and @t334 @t392))))) % 2.13/2.39 (assume @p272 (not (forall (@list @t393) (not (= tptp.v_qa____ (tptp.hAPP @t390 @t393)))))) % 2.13/2.39 (assume @p273 (forall @t206 (=> @t395 (=> @t258 (tptp.c_Orderings_Oord__class_Oless__eq @t10 (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t161) @t394))))) % 2.13/2.39 (assume @p274 (forall @t90 (=> @t395 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t318 @t320) @t252)))) % 2.13/2.39 (assume @p275 (forall @t151 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119 @t396))) % 2.13/2.39 (assume @p276 (forall @t196 (=> @t182 @t398))) % 2.13/2.39 (assume @p277 (forall @t151 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t396))) % 2.13/2.39 (assume @p278 (forall (@list @t197) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t399) @t197)))) % 2.13/2.39 (assume @p279 (forall @t404 (=> @t99 (= (tptp.hAPP @t403 @t12) @t400)))) % 2.13/2.39 (assume @p280 (forall @t404 (=> @t99 (= @t406 @t400)))) % 2.13/2.39 (assume @p281 (forall @t181 (=> @t321 (= @t409 @t408)))) % 2.13/2.39 (assume @p282 (forall @t404 (=> @t99 (= @t400 @t406)))) % 2.13/2.39 (assume @p283 (forall @t181 (=> @t178 (= @t409 @t411)))) % 2.13/2.39 (assume @p284 (forall @t370 (=> @t355 (= (tptp.c_Orderings_Oord__class_Oless @t353 @t2 @t1) (and @t354 (not (tptp.c_Orderings_Oord__class_Oless__eq @t353 @t1 @t2))))))) % 2.13/2.39 (assume @p285 (= @t412 @t399)) % 2.13/2.39 (assume @p286 (forall @t81 (=> @t99 @t413))) % 2.13/2.39 (assume @p287 (forall @t81 (=> @t99 @t414))) % 2.13/2.39 (assume @p288 (forall @t81 (=> @t99 @t416))) % 2.13/2.39 (assume @p289 (forall @t81 (=> @t99 @t417))) % 2.13/2.39 (assume @p290 (forall @t43 (=> @t16 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t10 @t420) @t12) (tptp.hAPP (tptp.hAPP @t402 @t120) @t39))))) % 2.13/2.39 (assume @p291 (forall (@list @t38 @t161 @t12 @t10) (=> @t99 (= (tptp.hAPP (tptp.hAPP @t121 @t421) @t38) (tptp.hAPP @t403 (tptp.hAPP @t162 @t38)))))) % 2.13/2.39 (assume @p292 (forall @t81 (=> @t423 (= @t422 @t52)))) % 2.13/2.39 (assume @p293 (forall @t17 (=> @t423 (= @t424 @t12)))) % 2.13/2.39 (assume @p294 (forall @t314 (=> @t99 (= @t427 @t426)))) % 2.13/2.39 (assume @p295 (forall @t314 (=> @t423 (= (tptp.hAPP @t410 @t427) @t427)))) % 2.13/2.39 (assume @p296 (forall @t435 (=> @t99 (= @t434 (tptp.hAPP @t432 (tptp.hAPP @t430 @t428)))))) % 2.13/2.39 (assume @p297 (forall @t435 (=> @t99 (= @t434 (tptp.hAPP @t436 @t428))))) % 2.13/2.39 (assume @p298 (forall @t441 (=> @t99 (= @t440 (tptp.hAPP @t430 (tptp.hAPP @t438 @t431)))))) % 2.13/2.39 (assume @p299 (forall @t441 (=> @t99 (= @t440 (tptp.hAPP @t436 @t437))))) % 2.13/2.39 (assume @p300 (forall @t443 (=> @t99 (= @t442 (tptp.hAPP @t430 (tptp.hAPP @t438 @t433)))))) % 2.13/2.39 (assume @p301 (forall @t443 (=> @t99 (= @t442 (tptp.hAPP @t432 (tptp.hAPP @t439 @t428)))))) % 2.13/2.39 (assume @p302 (forall @t443 (=> @t99 (= @t442 (tptp.hAPP @t436 (tptp.hAPP @t438 @t428)))))) % 2.13/2.39 (assume @p303 (forall @t213 (=> (tptp.class_Groups_Oab__semigroup__mult @t10) (= (tptp.hAPP (tptp.hAPP @t402 @t427) @t112) (tptp.hAPP @t410 @t444))))) % 2.13/2.39 (assume @p304 (forall @t222 (=> (= (tptp.c_Nat_OSuc @t12) (tptp.c_Nat_OSuc @t161)) @t202))) % 2.13/2.39 (assume @p305 (forall (@list @t445 @t446) (= (= (tptp.c_Nat_OSuc @t446) (tptp.c_Nat_OSuc @t445)) (= @t446 @t445)))) % 2.13/2.39 (assume @p306 (forall @t151 (not (= @t396 @t119)))) % 2.13/2.39 (assume @p307 (forall @t151 (not (= @t119 @t396)))) % 2.13/2.39 (assume @p308 (forall @t17 (=> @t99 (= (tptp.hAPP @t163 @t412) @t12)))) % 2.13/2.39 (assume @p309 (forall @t314 (=> @t176 (=> @t448 (or @t77 @t447))))) % 2.13/2.39 (assume @p310 (forall @t314 (=> @t176 (=> @t78 (=> @t449 (not @t448)))))) % 2.13/2.39 (assume @p311 (forall @t301 (=> (tptp.class_Rings_Oring__no__zero__divisors @t10) (= (= @t451 @t11) (or @t107 (= @t91 @t11)))))) % 2.13/2.39 (assume @p312 (forall @t81 (=> @t177 @t417))) % 2.13/2.39 (assume @p313 (forall @t81 (=> @t177 @t416))) % 2.13/2.39 (assume @p314 (forall @t452 (not (= @t31 @t397)))) % 2.13/2.39 (assume @p315 (forall (@list @t453) (not (= @t31 (tptp.c_Nat_OSuc @t453))))) % 2.13/2.39 (assume @p316 (forall @t452 (not (= @t397 @t31)))) % 2.13/2.39 (assume @p317 (forall (@list @t454) (not (= (tptp.c_Nat_OSuc @t454) @t31)))) % 2.13/2.39 (assume @p318 (forall @t81 (=> @t455 @t413))) % 2.13/2.39 (assume @p319 (forall @t81 (=> @t321 @t413))) % 2.13/2.39 (assume @p320 (forall @t81 (=> @t455 @t414))) % 2.13/2.39 (assume @p321 (forall @t81 (=> @t321 @t414))) % 2.13/2.39 (assume @p322 (forall @t220 (= (not @t217) @t457))) % 2.13/2.39 (assume @p323 (forall @t220 (= @t459 @t241))) % 2.13/2.39 (assume @p324 (forall @t220 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t456 @t458) @t217))) % 2.13/2.39 (assume @p325 (forall @t461 (=> (not @t216) @t460))) % 2.13/2.39 (assume @p326 (forall @t226 (=> (not @t225) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119 @t397) @t223)))) % 2.13/2.39 (assume @p327 (forall @t196 (=> @t182 @t462))) % 2.13/2.39 (assume @p328 (forall @t196 (=> @t182 (=> (not (= @t397 @t119)) @t463)))) % 2.13/2.39 (assume @p329 (forall @t234 (=> @t465 (=> @t464 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t183) @t197))))) % 2.13/2.39 (assume @p330 (forall @t196 (=> @t462 (=> @t466 @t223)))) % 2.13/2.39 (assume @p331 (forall @t196 (=> @t463 @t182))) % 2.13/2.39 (assume @p332 (forall @t196 (=> @t398 @t182))) % 2.13/2.39 (assume @p333 (forall @t301 (=> @t24 (= (= (tptp.hAPP @t450 @t32) (tptp.hAPP @t467 @t91)) (or @t92 @t300))))) % 2.13/2.39 (assume @p334 (forall @t314 (=> @t469 (= (tptp.hAPP @t468 @t313) @t427)))) % 2.13/2.39 (assume @p335 (forall @t314 (=> @t469 (= @t471 @t470)))) % 2.13/2.39 (assume @p336 (forall @t314 (=> @t469 (= @t472 @t471)))) % 2.13/2.39 (assume @p337 (forall @t314 (=> @t469 (= @t472 @t470)))) % 2.13/2.39 (assume @p338 (forall @t314 (=> @t99 (tptp.hBOOL (tptp.hAPP @t156 @t427))))) % 2.13/2.39 (assume @p339 @t474) % 2.13/2.39 (assume @p340 (forall @t213 (=> @t99 (=> @t211 @t475)))) % 2.13/2.39 (assume @p341 (forall @t476 (=> @t99 (=> @t207 @t475)))) % 2.13/2.39 (assume @p342 (forall @t481 (=> @t99 (=> @t211 (=> (tptp.hBOOL (tptp.hAPP @t480 @t477)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t155 @t479) @t478))))))) % 2.13/2.39 (assume @p343 (forall (@list @t197 @t140 @t52 @t10) (=> @t482 (=> (= @t52 (tptp.hAPP @t425 @t197)) (tptp.hBOOL (tptp.hAPP @t208 @t52)))))) % 2.13/2.39 (assume @p344 (forall @t213 (=> @t99 (=> @t483 @t207)))) % 2.13/2.39 (assume @p345 (forall @t213 (=> @t99 (=> @t483 @t209)))) % 2.13/2.39 (assume @p346 (forall @t181 (=> @t321 (= @t408 @t411)))) % 2.13/2.39 (assume @p347 (forall @t150 (=> @t455 (= (tptp.hAPP (tptp.hAPP @t121 @t427) @t119) (tptp.hAPP @t407 @t142))))) % 2.13/2.39 (assume @p348 (forall @t151 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t396 @t119)))) % 2.13/2.39 (assume @p349 (forall @t220 (= (not @t240) @t484))) % 2.13/2.39 (assume @p350 (forall @t220 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t215 @t458) (or @t240 (= @t215 @t458))))) % 2.13/2.39 (assume @p351 (forall @t461 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t458 @t456) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t170 @t215)))) % 2.13/2.39 (assume @p352 (forall @t196 (=> @t160 @t485))) % 2.13/2.39 (assume @p353 (forall @t196 (=> @t485 (=> (not @t160) (= @t157 @t396))))) % 2.13/2.39 (assume @p354 (forall @t196 (=> @t486 @t160))) % 2.13/2.39 (assume @p355 (forall @t47 (=> @t303 (= (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t14) @t14)))) % 2.13/2.39 (assume @p356 (forall @t74 (=> @t303 (= (tptp.c_Polynomial_Odegree @t10 @t302) @t65)))) % 2.13/2.39 (assume @p357 (forall @t81 (=> @t321 (= (tptp.hAPP @t143 @t412) @t52)))) % 2.13/2.39 (assume @p358 (forall @t260 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t412) @t12)))) % 2.13/2.39 (assume @p359 (forall @t489 (= (tptp.hBOOL (tptp.hAPP @t488 @t412)) @t487))) % 2.13/2.39 (assume @p360 (forall @t48 (=> @t16 (= (tptp.hAPP (tptp.hAPP @t418 @t14) @t38) @t14)))) % 2.13/2.39 (assume @p361 (forall @t74 (=> @t16 (= (tptp.hAPP @t419 @t14) @t14)))) % 2.13/2.39 (assume @p362 (forall @t79 (=> @t304 (= (tptp.c_Polynomial_Osmult @t10 @t52 @t302) @t305)))) % 2.13/2.39 (assume @p363 (forall @t491 (=> @t16 (= (tptp.c_Polynomial_Osmult @t10 @t52 @t490) (tptp.c_Polynomial_Osmult @t10 @t427 @t40))))) % 2.13/2.39 (assume @p364 (forall @t102 (=> @t16 (= (tptp.hAPP (tptp.hAPP @t418 @t75) @t38) @t492)))) % 2.13/2.39 (assume @p365 (forall @t104 (=> @t16 (= (tptp.hAPP @t419 @t94) @t492)))) % 2.13/2.39 (assume @p366 (forall @t17 (=> @t319 (= @t394 (tptp.hAPP (tptp.hAPP @t402 @t493) @t12))))) % 2.13/2.39 (assume @p367 (forall @t118 (=> @t205 (=> @t495 (=> @t494 (tptp.c_Polynomial_Opos__poly @t10 @t420)))))) % 2.13/2.39 (assume @p368 (forall @t314 (=> @t499 (=> (or (and @t147 @t498) (and @t497 @t153)) @t496)))) % 2.13/2.39 (assume @p369 (forall @t314 (=> @t501 (=> (or (and @t147 @t153) (and @t497 @t498)) @t500)))) % 2.13/2.39 (assume @p370 (forall @t481 (=> @t505 (=> @t242 (=> @t504 (=> @t153 @t503)))))) % 2.13/2.39 (assume @p371 (forall @t481 (=> @t505 (=> @t242 (=> @t504 (=> @t147 @t503)))))) % 2.13/2.39 (assume @p372 (forall @t364 (=> @t501 (=> @t363 (=> @t510 @t509))))) % 2.13/2.39 (assume @p373 (forall @t364 (=> @t501 (=> @t363 (=> @t510 @t511))))) % 2.13/2.39 (assume @p374 (forall @t213 (=> (tptp.class_Rings_Oordered__comm__semiring @t10) @t512))) % 2.13/2.39 (assume @p375 (forall @t213 (=> @t505 @t512))) % 2.13/2.39 (assume @p376 (forall @t213 (=> @t505 (=> @t242 (=> @t502 @t511))))) % 2.13/2.39 (assume @p377 (forall @t314 (=> @t501 (=> @t497 (=> @t498 @t500))))) % 2.13/2.39 (assume @p378 (forall @t314 (=> @t499 (=> @t497 (=> @t153 @t496))))) % 2.13/2.39 (assume @p379 (forall @t314 (=> @t499 (=> @t147 (=> @t498 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t426 @t11)))))) % 2.13/2.39 (assume @p380 (forall @t314 (=> @t499 (=> @t147 (=> @t498 @t496))))) % 2.13/2.39 (assume @p381 (forall @t314 (=> @t499 (=> @t147 (=> @t153 @t500))))) % 2.13/2.39 (assume @p382 (forall @t301 (=> @t515 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t451 @t11) (or (and @t323 @t514) (and @t324 @t513)))))) % 2.13/2.39 (assume @p383 (forall @t301 (=> @t515 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t451) (or (and @t323 @t513) (and @t324 @t514)))))) % 2.13/2.39 (assume @p384 (forall @t81 (=> @t516 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t422)))) % 2.13/2.39 (assume @p385 (forall @t364 (=> @t515 (=> @t376 (=> @t518 @t517))))) % 2.13/2.39 (assume @p386 (forall @t364 (=> @t515 (=> @t376 (=> @t518 @t519))))) % 2.13/2.39 (assume @p387 (forall @t213 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t10) @t521))) % 2.13/2.39 (assume @p388 (forall @t213 (=> @t522 @t521))) % 2.13/2.39 (assume @p389 (forall @t213 (=> @t522 (=> @t148 (=> @t520 @t519))))) % 2.13/2.39 (assume @p390 (forall @t314 (=> @t515 (=> @t525 (=> @t524 @t523))))) % 2.13/2.39 (assume @p391 (forall @t314 (=> @t522 (=> @t525 (=> @t527 @t526))))) % 2.13/2.39 (assume @p392 (forall @t534 (=> @t515 (=> @t533 (= @t532 @t528))))) % 2.13/2.39 (assume @p393 (forall @t379 (=> @t522 (=> (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t426) @t535)))) % 2.13/2.39 (assume @p394 (forall @t314 (=> @t522 (=> @t523 @t535)))) % 2.13/2.39 (assume @p395 (forall @t314 (=> @t522 (=> @t180 (=> @t524 (tptp.c_Orderings_Oord__class_Oless @t10 @t426 @t11)))))) % 2.13/2.39 (assume @p396 (forall @t314 (=> @t522 (=> @t180 (=> @t524 @t526))))) % 2.13/2.39 (assume @p397 (forall @t314 (=> @t522 (=> @t180 (=> @t527 @t523))))) % 2.13/2.39 (assume @p398 (forall @t534 (=> @t515 (=> @t536 (= @t532 @t315))))) % 2.13/2.39 (assume @p399 (forall @t534 (=> @t515 (= @t532 @t537)))) % 2.13/2.39 (assume @p400 (forall @t540 (=> @t515 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t539 @t538) @t537)))) % 2.13/2.39 (assume @p401 (forall @t81 (=> @t516 (not (tptp.c_Orderings_Oord__class_Oless @t10 @t422 @t11))))) % 2.13/2.39 (assume @p402 (forall @t139 (=> @t338 (= (tptp.hAPP @t335 @t396) @t11)))) % 2.13/2.39 (assume @p403 (forall (@list @t119 @t157 @t10) (=> @t149 (=> (tptp.c_Orderings_Oord__class_Oless @t10 @t296 @t157) (=> (tptp.c_Orderings_Oord__class_Oless @t10 @t296 @t119) (tptp.c_Orderings_Oord__class_Oless @t10 @t296 (tptp.hAPP (tptp.hAPP @t402 @t157) @t119))))))) % 2.13/2.39 (assume @p404 (forall @t534 (=> @t24 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t155 @t531) @t530)) @t542)))) % 2.13/2.39 (assume @p405 (forall @t540 (=> @t24 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t155 @t539) @t538)) @t542)))) % 2.13/2.39 (assume @p406 (forall @t220 (= @t459 (or @t544 (exists (@list @t543) (and (= @t215 (tptp.c_Nat_OSuc @t543)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t543 @t170))))))) % 2.13/2.39 (assume @p407 (forall @t237 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t170 @t399) @t171))) % 2.13/2.39 (assume @p408 (forall @t237 (= @t236 (exists @t85 (= @t170 (tptp.c_Nat_OSuc @t82)))))) % 2.13/2.39 (assume @p409 (forall @t260 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t545) (or (= @t12 @t31) (= @t12 @t399))))) % 2.13/2.39 (assume @p410 (forall @t30 (=> @t235 (= (= @t547 @t296) (or @t297 (= @t27 @t493)))))) % 2.13/2.39 (assume @p411 (forall @t489 (= (tptp.hBOOL (tptp.hAPP @t488 @t399)) @t548))) % 2.13/2.39 (assume @p412 (forall @t461 (= @t216 @t484))) % 2.13/2.39 (assume @p413 (forall @t220 (= @t459 @t240))) % 2.13/2.39 (assume @p414 (forall @t220 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t456 @t170) @t217))) % 2.13/2.39 (assume @p415 (forall @t196 (=> @t160 @t462))) % 2.13/2.39 (assume @p416 (forall @t196 (=> @t182 @t486))) % 2.13/2.39 (assume @p417 (forall @t220 (=> @t240 @t460))) % 2.13/2.39 (assume @p418 (forall @t196 (=> @t486 @t182))) % 2.13/2.39 (assume @p419 (forall @t47 (=> @t99 (= (tptp.c_Polynomial_Odegree @t10 @t306) @t31)))) % 2.13/2.39 (assume @p420 (forall @t151 (= (tptp.hAPP (tptp.hAPP @t184 @t399) @t119) @t399))) % 2.13/2.39 (assume @p421 (forall (@list @t215 @t27) (= (= (tptp.hAPP @t190 @t215) @t399) (or @t544 (= @t27 @t399))))) % 2.13/2.39 (assume @p422 (forall @t549 (=> @t29 (= (tptp.hAPP @t111 @t396) @t133)))) % 2.13/2.39 (assume @p423 (forall @t491 (=> @t16 (= (tptp.c_Polynomial_Osmult @t10 @t52 (tptp.c_Polynomial_OpCons @t10 @t140 @t40)) (tptp.c_Polynomial_OpCons @t10 @t427 @t75))))) % 2.13/2.39 (assume @p424 (forall @t550 (=> @t16 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t10 @t75) @t12) (tptp.hAPP @t410 @t120))))) % 2.13/2.39 (assume @p425 (forall @t549 (=> @t16 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t10 @t75) @t119) (tptp.hAPP @t410 @t133))))) % 2.13/2.39 (assume @p426 (forall @t74 (=> @t205 (or @t67 @t495 (tptp.c_Polynomial_Opos__poly @t10 @t302))))) % 2.13/2.39 (assume @p427 (forall @t552 (=> @t522 (=> @t509 @t551)))) % 2.13/2.39 (assume @p428 (forall @t476 (=> @t522 (=> @t511 @t551)))) % 2.13/2.39 (assume @p429 (forall @t552 (=> @t522 @t554))) % 2.13/2.39 (assume @p430 (forall @t552 (=> @t555 @t554))) % 2.13/2.39 (assume @p431 (forall @t476 (=> @t522 @t556))) % 2.13/2.39 (assume @p432 (forall @t476 (=> @t555 @t556))) % 2.13/2.39 (assume @p433 (forall @t481 (=> @t522 (=> @t242 (=> @t559 (=> @t180 @t558)))))) % 2.13/2.39 (assume @p434 (forall @t481 (=> @t522 (=> @t148 (=> @t504 (=> @t147 (=> @t520 @t557))))))) % 2.13/2.39 (assume @p435 (forall @t481 (=> @t522 (=> @t148 (=> @t559 (=> @t147 @t558)))))) % 2.13/2.39 (assume @p436 (forall @t481 (=> @t522 (=> @t148 (=> @t559 (=> @t527 @t558)))))) % 2.13/2.39 (assume @p437 (forall @t534 (=> @t515 (=> @t533 (= @t560 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t91 @t32)))))) % 2.13/2.39 (assume @p438 (forall @t534 (=> @t515 (=> @t536 (= @t560 @t311))))) % 2.13/2.39 (assume @p439 (forall @t154 (=> @t149 (=> (= @t409 @t561) (=> @t147 (=> @t153 @t152)))))) % 2.13/2.39 (assume @p440 (forall @t154 (=> @t149 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t409 @t561) (=> @t153 @t242))))) % 2.13/2.39 (assume @p441 (forall @t206 (=> @t205 (=> @t565 (=> @t564 (=> @t563 (tptp.c_Orderings_Oord__class_Oless__eq @t10 (tptp.hAPP @t562 @t12) @t12))))))) % 2.13/2.39 (assume @p442 (forall @t206 (=> @t205 (=> @t565 (=> @t564 (=> @t563 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t421 @t12))))))) % 2.13/2.39 (assume @p443 (forall @t181 (=> @t149 (=> @t341 (tptp.c_Orderings_Oord__class_Oless @t10 @t296 @t409))))) % 2.13/2.39 (assume @p444 (forall @t181 (=> @t149 (=> @t341 (tptp.c_Orderings_Oord__class_Oless @t10 @t296 @t411))))) % 2.13/2.39 (assume @p445 (forall @t181 (=> @t149 (=> @t341 (tptp.c_Orderings_Oord__class_Oless @t10 @t144 @t411))))) % 2.13/2.39 (assume @p446 (forall @t181 (=> (tptp.class_Rings_Oring__1 @t10) (= (tptp.hAPP (tptp.hAPP @t121 @t294) @t119) (tptp.hAPP (tptp.hAPP @t402 (tptp.hAPP (tptp.hAPP @t121 @t493) @t119)) @t144))))) % 2.13/2.39 (assume @p447 (forall @t566 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t399 @t183) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t399 @t186)))) % 2.13/2.39 (assume @p448 (forall @t79 (=> @t29 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t568 @t567)))) % 2.13/2.39 (assume @p449 (forall @t69 (=> @t29 @t569))) % 2.13/2.39 (assume @p450 (forall @t17 (=> @t395 (= (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t394) @t12)))) % 2.13/2.39 (assume @p451 (forall (@list @t27 @t570 @t51 @t10) (=> (tptp.class_Groups_Ouminus @t10) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus (tptp.tc_fun @t51 @t10) @t570) @t27) (tptp.c_Groups_Ouminus__class_Ouminus @t10 (tptp.hAPP @t570 @t27)))))) % 2.13/2.39 (assume @p452 (forall @t90 (=> @t395 (= (= @t318 @t320) @t89)))) % 2.13/2.39 (assume @p453 (forall @t181 (=> @t149 (=> @t180 (=> @t386 (tptp.c_Orderings_Oord__class_Oless @t10 @t409 @t296)))))) % 2.13/2.39 (assume @p454 (forall @t181 (=> @t149 (=> @t180 (=> @t386 (tptp.c_Orderings_Oord__class_Oless @t10 @t411 @t144)))))) % 2.13/2.39 (assume @p455 (forall @t69 (=> @t29 (and (=> @t67 (= @t568 @t31)) @t569)))) % 2.13/2.39 (assume @p456 (forall @t188 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t187) @t186)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t183) @t160)))) % 2.13/2.39 (assume @p457 (forall @t74 (=> @t29 (and (=> @t67 (= @t571 @t31)) (=> @t68 (= @t571 @t567)))))) % 2.13/2.39 (assume @p458 (forall (@list @t119 @t572 @t10) (=> @t149 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t572) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t572 @t296) (tptp.c_Orderings_Oord__class_Oless__eq @t10 (tptp.hAPP (tptp.hAPP @t121 @t572) @t396) @t572)))))) % 2.13/2.39 (assume @p459 (forall @t90 (=> @t24 (= (= (tptp.hAPP (tptp.hAPP @t121 @t27) @t545) (tptp.hAPP (tptp.hAPP @t121 @t88) @t545)) (or @t89 (= @t27 @t320)))))) % 2.13/2.39 (assume @p460 (forall @t47 (=> @t178 (= @t121 (tptp.c_Power_Opower_Opower @t10 @t296 @t402))))) % 2.13/2.39 (assume @p461 (forall (@list @t40 @t112 @t10) (=> @t319 (= (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP (tptp.hAPP @t418 (tptp.c_Polynomial_OpCons @t10 (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t112) @t307)) @t127) (tptp.c_Polynomial_OpCons @t10 @t128 @t14)) @t40)))) % 2.13/2.39 (assume @p462 (forall @t206 (=> @t573 (= (tptp.hAPP (tptp.hAPP @t402 @t394) @t161) (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t421))))) % 2.13/2.39 (assume @p463 (forall @t151 (= (tptp.hAPP (tptp.hAPP @t574 @t412) @t119) @t119))) % 2.13/2.39 (assume @p464 (forall @t220 (= (= @t412 @t578) @t576))) % 2.13/2.39 (assume @p465 (forall @t151 (= (tptp.hAPP @t579 @t412) @t119))) % 2.13/2.39 (assume @p466 (forall @t220 (= (= @t578 @t412) @t576))) % 2.13/2.39 (assume @p467 (forall (@list @t112 @t52 @t10) (=> @t99 (= @t581 @t580)))) % 2.13/2.39 (assume @p468 (forall @t584 (=> @t99 (= @t583 (tptp.c_Groups_Oplus__class_Oplus @t10 @t112 (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t477)))))) % 2.13/2.39 (assume @p469 (forall @t584 (=> @t99 (= @t583 (tptp.c_Groups_Oplus__class_Oplus @t10 @t581 @t477))))) % 2.13/2.39 (assume @p470 (forall @t587 (=> @t573 (= (tptp.hAPP @t410 (tptp.c_Groups_Oplus__class_Oplus @t10 @t140 @t585)) (tptp.c_Groups_Oplus__class_Oplus @t10 @t427 @t586))))) % 2.13/2.39 (assume @p471 (forall @t593 (=> @t573 (= (tptp.hAPP @t589 @t592) (tptp.c_Groups_Oplus__class_Oplus @t10 @t591 @t590))))) % 2.13/2.39 (assume @p472 (forall @t213 (=> @t99 @t597))) % 2.13/2.39 (assume @p473 (forall @t213 (=> @t99 (= @t596 (tptp.c_Groups_Oplus__class_Oplus @t10 @t581 @t140))))) % 2.13/2.39 (assume @p474 (forall @t601 (=> @t573 (= (tptp.hAPP (tptp.hAPP @t402 (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t598)) @t140) (tptp.c_Groups_Oplus__class_Oplus @t10 @t427 @t600))))) % 2.13/2.39 (assume @p475 (forall @t605 (=> @t573 (= (tptp.hAPP (tptp.hAPP @t402 @t592) @t602) (tptp.c_Groups_Oplus__class_Oplus @t10 @t604 @t603))))) % 2.13/2.39 (assume @p476 (forall @t481 (=> @t99 (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t595 @t582) (tptp.c_Groups_Oplus__class_Oplus @t10 @t581 @t606))))) % 2.13/2.39 (assume @p477 (forall @t213 (=> (tptp.class_Groups_Oab__semigroup__add @t10) @t597))) % 2.13/2.39 (assume @p478 (forall (@list @t58 @t91 @t32 @t10) (=> @t610 (= (= @t609 @t608) @t607)))) % 2.13/2.39 (assume @p479 (forall (@list @t58 @t32 @t91 @t10) (=> @t610 (= (= @t612 @t611) @t607)))) % 2.13/2.39 (assume @p480 (forall @t213 (=> @t610 @t613))) % 2.13/2.39 (assume @p481 (forall @t213 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t10) @t613))) % 2.13/2.39 (assume @p482 (forall @t364 (=> @t610 (=> (= @t614 @t580) @t284)))) % 2.13/2.39 (assume @p483 (forall @t491 (=> @t16 (= (tptp.c_Polynomial_Osmult @t10 @t595 @t40) (tptp.c_Groups_Oplus__class_Oplus @t13 @t75 @t490))))) % 2.13/2.39 (assume @p484 (forall (@list @t119 @t38 @t40 @t10) (=> @t616 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t10 @t615) @t119) (tptp.c_Groups_Oplus__class_Oplus @t10 @t133 (tptp.hAPP @t116 @t119)))))) % 2.13/2.39 (assume @p485 (forall @t43 (=> @t16 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t10 @t615) @t12) (tptp.c_Groups_Oplus__class_Oplus @t10 @t120 @t39))))) % 2.13/2.39 (assume @p486 (forall (@list @t38 @t140 @t40 @t52 @t10) (=> @t616 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t110 (tptp.c_Polynomial_OpCons @t10 @t140 @t38)) (tptp.c_Polynomial_OpCons @t10 @t595 @t615))))) % 2.13/2.39 (assume @p487 (forall @t81 (=> @t618 @t617))) % 2.13/2.39 (assume @p488 (forall @t81 (=> @t616 @t617))) % 2.13/2.39 (assume @p489 (forall @t308 (=> @t309 (= (= @t11 @t619) @t107)))) % 2.13/2.39 (assume @p490 (forall @t81 (=> @t618 @t620))) % 2.13/2.39 (assume @p491 (forall @t81 (=> @t616 @t620))) % 2.13/2.39 (assume @p492 (forall @t312 (=> @t621 (= (= @t91 @t612) @t107)))) % 2.13/2.39 (assume @p493 (forall @t81 (=> @t99 @t620))) % 2.13/2.39 (assume @p494 (forall @t81 (=> @t99 @t617))) % 2.13/2.39 (assume @p495 (forall @t540 (=> @t623 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t608 @t622) @t311)))) % 2.13/2.39 (assume @p496 (forall @t534 (=> @t623 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t611 @t624) @t311)))) % 2.13/2.39 (assume @p497 (forall @t213 (=> @t626 (=> @t242 @t625)))) % 2.13/2.39 (assume @p498 (forall @t213 (=> @t626 (=> @t242 @t628)))) % 2.13/2.39 (assume @p499 (forall @t481 (=> @t626 (=> @t242 (=> @t504 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t581 @t606)))))) % 2.13/2.39 (assume @p500 (forall @t476 (=> @t623 (=> @t625 @t242)))) % 2.13/2.39 (assume @p501 (forall @t552 (=> @t623 (=> @t628 @t242)))) % 2.13/2.39 (assume @p502 (forall @t540 (=> @t623 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t608 @t622) @t315)))) % 2.13/2.39 (assume @p503 (forall @t534 (=> @t623 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t611 @t624) @t315)))) % 2.13/2.39 (assume @p504 (forall @t213 (=> @t630 (=> @t148 @t629)))) % 2.13/2.39 (assume @p505 (forall @t213 (=> @t630 (=> @t148 @t631)))) % 2.13/2.39 (assume @p506 (forall @t481 (=> @t630 (=> @t148 @t633)))) % 2.13/2.39 (assume @p507 (forall @t476 (=> @t623 (=> @t629 @t148)))) % 2.13/2.39 (assume @p508 (forall @t552 (=> @t623 (=> @t631 @t148)))) % 2.13/2.39 (assume @p509 (forall @t213 (=> (tptp.class_Rings_Ocomm__semiring @t10) @t635))) % 2.13/2.39 (assume @p510 (forall (@list @t112 @t140 @t636 @t52 @t10) (=> (tptp.class_Rings_Osemiring @t10) (= (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP @t410 @t636) (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP @t425 @t636) @t112)) (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP @t634 @t636) @t112))))) % 2.13/2.39 (assume @p511 (forall (@list @t60 @t27 @t88 @t637 @t10) (=> @t621 (= (= (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP @t638 @t88) (tptp.hAPP @t546 @t60)) (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP @t638 @t60) (tptp.hAPP @t546 @t88))) (or (= @t637 @t27) (= @t88 @t60)))))) % 2.13/2.39 (assume @p512 (forall (@list @t140 @t157 @t52 @t10) (=> @t99 (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t639 (tptp.hAPP @t425 @t157)) (tptp.hAPP @t634 @t157))))) % 2.13/2.39 (assume @p513 (forall @t213 (=> @t99 @t635))) % 2.13/2.39 (assume @p514 (forall @t641 (=> @t621 (= (and (not @t92) (not (= @t58 @t640))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t539 (tptp.hAPP @t467 @t640)) (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP @t450 @t640) @t538))))))) % 2.13/2.39 (assume @p515 (forall @t361 (=> @t99 (= (tptp.hAPP @t405 (tptp.c_Groups_Oplus__class_Oplus @t10 @t161 @t268)) (tptp.c_Groups_Oplus__class_Oplus @t10 @t421 (tptp.hAPP @t405 @t268)))))) % 2.13/2.39 (assume @p516 (forall @t314 (=> @t303 (= @t642 (tptp.c_Groups_Oplus__class_Oplus @t10 @t294 @t313))))) % 2.13/2.39 (assume @p517 (forall @t314 (=> @t295 (= @t642 (tptp.c_Groups_Oplus__class_Oplus @t10 @t313 @t294))))) % 2.13/2.39 (assume @p518 (forall @t314 (=> @t295 (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 (tptp.c_Groups_Oplus__class_Oplus @t10 @t294 @t140)) @t140)))) % 2.13/2.39 (assume @p519 (forall @t314 (=> @t295 (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t294 @t595) @t140)))) % 2.13/2.39 (assume @p520 (forall @t213 (=> @t99 (=> @t211 (=> @t207 (tptp.hBOOL (tptp.hAPP @t156 @t594))))))) % 2.13/2.39 (assume @p521 (forall @t649 (= (= @t648 @t647) @t645))) % 2.13/2.39 (assume @p522 (forall @t654 (= @t653 @t645))) % 2.13/2.39 (assume @p523 (forall @t220 (= (= @t578 @t31) (or @t544 @t171)))) % 2.13/2.39 (assume @p524 (forall @t452 (= (tptp.hAPP @t655 @t31) @t31))) % 2.13/2.39 (assume @p525 (forall @t151 (= (tptp.hAPP (tptp.hAPP @t574 @t31) @t119) @t31))) % 2.13/2.39 (assume @p526 (forall @t196 (=> (= @t157 @t656) (or (= @t119 @t412) (= @t157 @t31))))) % 2.13/2.39 (assume @p527 (forall @t344 (=> @t321 (= (tptp.hAPP @t143 @t656) (tptp.hAPP (tptp.hAPP @t121 @t158) @t119))))) % 2.13/2.39 (assume @p528 (forall @t658 (=> @t99 (= (tptp.hAPP (tptp.hAPP @t121 @t657) @t38) (tptp.hAPP @t163 (tptp.hAPP (tptp.hAPP @t574 @t40) @t38)))))) % 2.13/2.39 (assume @p529 (forall @t654 (= (= @t661 @t660) @t218))) % 2.13/2.39 (assume @p530 (forall @t667 (=> @t233 (=> @t666 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t665 (tptp.hAPP @t663 @t662)))))) % 2.13/2.39 (assume @p531 (forall @t234 (=> @t233 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t670 @t669)))) % 2.13/2.39 (assume @p532 (forall @t234 (=> @t233 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t665 @t671)))) % 2.13/2.39 (assume @p533 (forall @t452 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157 (tptp.hAPP @t655 @t672)))) % 2.13/2.39 (assume @p534 (forall @t452 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157 @t672))) % 2.13/2.39 (assume @p535 (forall @t74 (=> @t616 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 @t14) @t40)))) % 2.13/2.39 (assume @p536 (forall @t48 (=> @t616 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t14 @t38) @t38)))) % 2.13/2.39 (assume @p537 (forall @t90 (=> @t515 (= (= @t675 @t11) @t674)))) % 2.13/2.39 (assume @p538 (forall @t102 (=> @t16 (= (tptp.c_Polynomial_Osmult @t10 @t52 @t615) (tptp.c_Groups_Oplus__class_Oplus @t13 @t75 @t94))))) % 2.13/2.39 (assume @p539 (forall @t90 (=> @t295 (= @t676 (= @t88 @t318))))) % 2.13/2.39 (assume @p540 (forall (@list @t572 @t38 @t40 @t10) (=> @t16 (= (tptp.hAPP (tptp.hAPP @t418 @t615) @t572) (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t419 @t572) (tptp.hAPP @t677 @t572)))))) % 2.13/2.39 (assume @p541 (forall @t118 (=> @t205 (=> @t495 (=> @t494 (tptp.c_Polynomial_Opos__poly @t10 @t615)))))) % 2.13/2.39 (assume @p542 (forall @t206 (=> @t516 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t678)))) % 2.13/2.39 (assume @p543 (forall @t90 (=> @t515 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t675 @t11) @t674)))) % 2.13/2.39 (assume @p544 (forall @t206 (=> @t516 (not (tptp.c_Orderings_Oord__class_Oless @t10 @t678 @t11))))) % 2.13/2.39 (assume @p545 (forall @t90 (=> @t515 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t675) (or (not @t28) (not @t673)))))) % 2.13/2.39 (assume @p546 (forall @t314 (=> @t679 (=> @t497 (=> @t498 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t595 @t11)))))) % 2.13/2.39 (assume @p547 (forall @t681 (=> @t679 (=> @t502 (=> @t363 @t680))))) % 2.13/2.39 (assume @p548 (forall @t213 (=> @t679 (=> @t147 (=> @t367 @t680))))) % 2.13/2.39 (assume @p549 (forall @t90 (=> @t679 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t27) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t88) (= @t676 @t674)))))) % 2.13/2.39 (assume @p550 (forall @t314 (=> @t679 (=> @t147 (=> @t153 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t595)))))) % 2.13/2.39 (assume @p551 (forall @t308 (=> @t309 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t619 @t11) @t324)))) % 2.13/2.39 (assume @p552 (forall @t308 (=> @t309 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t619) @t323)))) % 2.13/2.39 (assume @p553 (forall @t314 (=> @t679 (=> @t525 @t683)))) % 2.13/2.39 (assume @p554 (forall @t314 (=> @t679 (=> @t180 @t685)))) % 2.13/2.39 (assume @p555 (forall @t308 (=> @t309 @t686))) % 2.13/2.39 (assume @p556 (forall @t308 (=> @t309 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t619) @t251)))) % 2.13/2.39 (assume @p557 (forall @t213 (=> @t149 (=> @t180 @t688)))) % 2.13/2.39 (assume @p558 (forall @t481 (=> @t630 (=> @t148 (=> @t504 @t632))))) % 2.13/2.39 (assume @p559 (forall @t481 (=> @t630 (=> @t242 @t633)))) % 2.13/2.39 (assume @p560 (forall (@list @t477 @t112 @t140 @t52 @t572 @t10) (=> @t621 (=> (not (= @t572 @t11)) (=> (and @t152 (not (= @t112 @t477))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 (tptp.hAPP @t689 @t112)) (tptp.c_Groups_Oplus__class_Oplus @t10 @t140 (tptp.hAPP @t689 @t477))))))))) % 2.13/2.39 (assume @p561 (forall @t81 (=> @t149 (tptp.c_Orderings_Oord__class_Oless @t10 @t52 @t690)))) % 2.13/2.39 (assume @p562 (forall @t81 (=> @t295 (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t294) @t11)))) % 2.13/2.39 (assume @p563 (forall @t301 (=> @t295 (= @t300 (= @t609 @t11))))) % 2.13/2.39 (assume @p564 (forall @t81 (=> @t295 @t691))) % 2.13/2.39 (assume @p565 (forall @t81 (=> @t303 @t691))) % 2.13/2.39 (assume @p566 (forall @t314 (=> @t295 (=> (= @t595 @t11) (= @t294 @t140))))) % 2.13/2.39 (assume @p567 (forall (@list @t157 @t10) (=> @t99 (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t157 @t157) (tptp.hAPP (tptp.hAPP @t402 @t692) @t157))))) % 2.13/2.39 (assume @p568 (forall (@list @t52 @t157 @t10) (=> @t99 (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t157 @t639) @t693)))) % 2.13/2.39 (assume @p569 (forall (@list @t157 @t52 @t10) (=> @t99 (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t639 @t157) @t693)))) % 2.13/2.39 (assume @p570 (forall @t220 (= (= @t578 @t399) (and @t548 @t694)))) % 2.13/2.39 (assume @p571 (forall @t220 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t578) (and @t695 @t236)))) % 2.13/2.39 (assume @p572 (forall @t654 (= @t698 @t697))) % 2.13/2.39 (assume @p573 (forall @t649 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t648 @t647) @t697))) % 2.13/2.39 (assume @p574 (forall @t234 (=> @t465 (=> @t699 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t665 @t671))))) % 2.13/2.39 (assume @p575 (forall @t234 (=> @t465 (=> @t699 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t670 @t669))))) % 2.13/2.39 (assume @p576 (forall @t654 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t661 @t660) @t217))) % 2.13/2.39 (assume @p577 (forall @t654 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t661 @t660) @t240))) % 2.13/2.39 (assume @p578 (forall (@list @t40 @t38 @t10) (=> @t616 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t115 @t65) (= @t700 @t65))))) % 2.13/2.39 (assume @p579 (forall @t118 (=> @t616 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t115) (= @t700 @t115))))) % 2.13/2.39 (assume @p580 (forall @t701 (=> @t616 (=> @t132 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t115 @t119) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t700 @t119)))))) % 2.13/2.39 (assume @p581 (forall @t701 (=> @t616 (=> @t135 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t115 @t119) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t700 @t119)))))) % 2.13/2.39 (assume @p582 (forall @t314 (=> @t679 (=> @t180 (=> @t153 @t684))))) % 2.13/2.39 (assume @p583 (forall @t314 (=> @t679 (=> @t147 @t685)))) % 2.13/2.39 (assume @p584 (forall @t213 (=> @t679 (=> @t180 (=> @t367 @t687))))) % 2.13/2.39 (assume @p585 (forall @t213 (=> @t679 (=> @t147 @t688)))) % 2.13/2.39 (assume @p586 (forall @t314 (=> @t679 (=> @t525 (=> @t498 @t682))))) % 2.13/2.39 (assume @p587 (forall @t314 (=> @t679 (=> @t497 @t683)))) % 2.13/2.39 (assume @p588 (forall @t47 (=> @t149 (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t692)))) % 2.13/2.39 (assume @p589 (forall (@list @t32 @t703 @t702 @t10) (= (tptp.hAPP @t704 @t31) @t702))) % 2.13/2.39 (assume @p590 (forall (@list @t170 @t32 @t703 @t702 @t10) (= (tptp.hAPP @t704 @t458) (tptp.hAPP (tptp.hAPP @t703 @t32) (tptp.hAPP @t704 @t170))))) % 2.13/2.39 (assume @p591 (forall @t226 (=> @t706 (=> @t705 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119 @t656))))) % 2.13/2.39 (assume @p592 (forall @t226 (=> @t706 (=> @t705 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119 @t707))))) % 2.13/2.39 (assume @p593 (forall @t226 (=> @t706 (=> @t705 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t399 @t656))))) % 2.13/2.39 (assume @p594 (forall @t220 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t399 @t578) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t399 @t215) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t399 @t170))))) % 2.13/2.39 (assume @p595 (forall @t710 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t709) @t708)) (=> @t699 @t250)))) % 2.13/2.39 (assume @p596 (forall @t220 (=> @t695 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 (tptp.hAPP @t646 @t215)) @t215)) @t575)))) % 2.13/2.39 (assume @p597 (forall @t220 (=> @t695 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t193 @t578) @t215)) @t575)))) % 2.13/2.39 (assume @p598 (forall @t654 (= @t712 @t711))) % 2.13/2.39 (assume @p599 (forall @t649 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t648 @t647) @t711))) % 2.13/2.39 (assume @p600 (forall @t550 (=> @t16 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t10 @t110) @t12) (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 (tptp.hAPP @t405 @t120)))))) % 2.13/2.39 (assume @p601 (forall @t114 (=> @t16 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t113 @t110) @t14) @t67)))) % 2.13/2.39 (assume @p602 (forall @t136 (=> @t99 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t10 @t123) (tptp.hAPP @t713 @t119))))) % 2.13/2.39 (assume @p603 (forall @t118 (=> @t16 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t10 @t42) (tptp.hAPP @t713 @t115))))) % 2.13/2.39 (assume @p604 (forall @t720 (=> (tptp.class_Rings_Olinordered__semiring__1 @t10) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t12 @t52) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t161 @t52) (=> @t719 (=> @t718 (=> @t717 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t716 @t52))))))))) % 2.13/2.39 (assume @p605 (forall @t104 (=> @t16 (= (tptp.hAPP @t419 (tptp.c_Polynomial_OpCons @t10 @t52 @t38)) (tptp.c_Groups_Oplus__class_Oplus @t13 @t75 @t721))))) % 2.13/2.39 (assume @p606 (forall @t102 (=> @t16 (= (tptp.hAPP (tptp.hAPP @t418 @t110) @t38) (tptp.c_Groups_Oplus__class_Oplus @t13 @t94 @t721))))) % 2.13/2.39 (assume @p607 (forall (@list @t112 @t40 @t10) (=> @t16 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 (tptp.c_Polynomial_Osmult @t10 @t112 @t127)) @t129)))) % 2.13/2.39 (assume @p608 (forall (@list @t572 @t38 @t112 @t40 @t10) (=> @t16 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t40 (tptp.c_Polynomial_Osmult @t10 @t112 @t38)) (tptp.c_Polynomial_OpCons @t10 @t572 @t38)) (and (= @t572 @t128) (= @t38 @t127)))))) % 2.13/2.39 (assume @p609 (forall @t720 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t10) (=> (tptp.c_Orderings_Oord__class_Oless @t10 @t12 @t52) (=> (tptp.c_Orderings_Oord__class_Oless @t10 @t161 @t52) (=> @t719 (=> @t718 (=> @t717 (tptp.c_Orderings_Oord__class_Oless @t10 @t716 @t52))))))))) % 2.13/2.39 (assume @p610 (forall @t102 (=> @t16 (= (tptp.c_Polynomial_Opcompose @t10 @t110 @t38) (tptp.c_Groups_Oplus__class_Oplus @t13 @t80 (tptp.hAPP @t677 @t42)))))) % 2.13/2.39 (assume @p611 (forall @t17 (=> @t573 (= (tptp.hAPP @t405 @t11) @t11)))) % 2.13/2.39 (assume @p612 (forall @t81 (=> @t573 @t417))) % 2.13/2.39 (assume @p613 (forall @t722 (=> @t573 (= (tptp.hAPP @t415 @t161) @t11)))) % 2.13/2.39 (assume @p614 (forall (@list @t140 @t10) (=> @t573 (= (tptp.hAPP @t415 @t140) @t11)))) % 2.13/2.39 (assume @p615 (forall @t314 (=> @t573 (= @t470 @t472)))) % 2.13/2.39 (assume @p616 (forall (@list @t12 @t588 @t10) (=> @t573 (= (tptp.hAPP @t589 @t394) (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t591))))) % 2.13/2.39 (assume @p617 (forall @t314 (=> @t573 (= @t471 @t472)))) % 2.13/2.39 (assume @p618 (forall (@list @t724 @t229 @t10) (=> (and @t482 @t337) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t229 (tptp.hAPP (tptp.hAPP @t402 @t724) @t3)))) (exists @t6 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t155 @t724) (tptp.c_Groups_Oplus__class_Oplus @t10 @t3 @t11))) @t723)))))) % 2.13/2.39 (assume @p619 (forall @t654 (=> @t696 (= @t712 @t240)))) % 2.13/2.39 (assume @p620 (forall @t654 (=> @t696 (= @t726 @t725)))) % 2.13/2.39 (assume @p621 (forall @t308 (=> @t205 @t686))) % 2.13/2.39 (assume @p622 (forall (@list @t58 @t727 @t27 @t640 @t32) (=> (tptp.hBOOL (tptp.hAPP @t385 @t640)) (= (tptp.hBOOL (tptp.hAPP @t385 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t27 @t727))) (tptp.hBOOL (tptp.hAPP @t385 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t27 (tptp.hAPP (tptp.hAPP @t728 @t58) @t640)) @t727))))))) % 2.13/2.39 (assume @p623 (forall (@list @t215 @t170 @t643) (= (tptp.hBOOL (tptp.hAPP @t729 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t170 @t731))) (tptp.hBOOL (tptp.hAPP @t729 @t170))))) % 2.13/2.39 (assume @p624 (forall @t274 (= (tptp.hAPP @t732 @t734) (tptp.hAPP (tptp.hAPP @t728 @t733) (tptp.hAPP @t732 @t268))))) % 2.13/2.39 (assume @p625 (forall (@list @t197 @t232 @t715 @t183) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t664 @t715) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t663 @t715) @t197)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t574 @t735) @t715) @t197)))) % 2.13/2.39 (assume @p626 (forall @t739 (= (tptp.hAPP (tptp.hAPP @t574 @t738) @t197) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t737 @t736)))) % 2.13/2.39 (assume @p627 (forall @t739 (= (tptp.hAPP (tptp.hAPP @t574 @t656) @t197) (tptp.hAPP @t655 @t736)))) % 2.13/2.39 (assume @p628 (forall @t196 (= (tptp.hAPP (tptp.hAPP @t574 @t397) @t119) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t119 @t656)))) % 2.13/2.39 (assume @p629 (forall @t710 (= (tptp.hAPP @t668 @t738) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t709 @t708)))) % 2.13/2.39 (assume @p630 (forall @t196 (= (tptp.hAPP @t655 @t396) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t656)))) % 2.13/2.39 (assume @p631 (forall @t196 (= @t656 @t707))) % 2.13/2.39 (assume @p632 (forall @t196 (=> (= @t738 @t157) @t238))) % 2.13/2.39 (assume @p633 (forall @t220 (= (= @t740 @t31) (and @t544 @t171)))) % 2.13/2.39 (assume @p634 (forall @t452 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t31) @t157))) % 2.13/2.39 (assume @p635 (forall @t151 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t31 @t119) @t119))) % 2.13/2.39 (assume @p636 (forall @t196 (= @t742 @t741))) % 2.13/2.39 (assume @p637 (forall @t196 (= @t743 @t741))) % 2.13/2.39 (assume @p638 (forall @t196 (= @t743 @t742))) % 2.13/2.39 (assume @p639 (forall @t745 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t12 @t268) @t744))) % 2.13/2.39 (assume @p640 (forall @t274 (=> @t221 @t744))) % 2.13/2.39 (assume @p641 (forall @t234 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t735 @t197) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 @t197)))) % 2.13/2.39 (assume @p642 (forall (@list @t119 @t157 @t662 @t197) (=> @t747 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t662) @t746) @t182)))) % 2.13/2.39 (assume @p643 (forall @t667 (=> @t465 (=> @t747 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t749 @t748))))) % 2.13/2.39 (assume @p644 (forall @t234 (=> @t465 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t749 @t750)))) % 2.13/2.39 (assume @p645 (forall @t752 (=> @t465 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 @t751)))) % 2.13/2.39 (assume @p646 (forall @t752 (=> @t465 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 @t753)))) % 2.13/2.39 (assume @p647 (forall @t654 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t755 @t754) @t217))) % 2.13/2.39 (assume @p648 (forall (@list @t183 @t232) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t756 @t183)))) % 2.13/2.39 (assume @p649 (forall (@list @t232 @t183) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t735 @t183)))) % 2.13/2.39 (assume @p650 (forall (@list @t170 @t643) (= (tptp.hBOOL (tptp.hAPP @t757 @t758)) (tptp.hBOOL (tptp.hAPP @t757 @t170))))) % 2.13/2.39 (assume @p651 (forall @t745 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t12 @t268) @t759))) % 2.13/2.39 (assume @p652 (forall @t274 (=> @t244 @t759))) % 2.13/2.39 (assume @p653 (forall @t762 (=> @t761 (not (=> @t160 (not @t198)))))) % 2.13/2.39 (assume @p654 (forall @t762 (=> @t761 @t160))) % 2.13/2.39 (assume @p655 (forall @t762 (=> @t761 @t198))) % 2.13/2.39 (assume @p656 (forall @t667 (=> @t233 (=> @t666 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t749 @t748))))) % 2.13/2.39 (assume @p657 (forall @t234 (=> @t233 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t749 @t750)))) % 2.13/2.39 (assume @p658 (forall @t752 (=> @t233 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t183 @t751)))) % 2.13/2.39 (assume @p659 (forall @t752 (=> @t233 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t183 @t753)))) % 2.13/2.39 (assume @p660 (forall @t654 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t755 @t754) @t240))) % 2.13/2.39 (assume @p661 (forall @t220 (= @t240 (exists @t765 (= @t170 @t764))))) % 2.13/2.39 (assume @p662 (forall @t226 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t119 @t766))) % 2.13/2.39 (assume @p663 (forall @t226 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t119 @t738))) % 2.13/2.39 (assume @p664 (forall @t658 (=> @t99 (= (tptp.hAPP (tptp.hAPP @t402 @t657) @t401) (tptp.hAPP @t163 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t40 @t38)))))) % 2.13/2.39 (assume @p665 (forall @t344 (=> @t321 (= (tptp.hAPP @t143 @t738) (tptp.hAPP (tptp.hAPP @t402 @t158) @t144))))) % 2.13/2.39 (assume @p666 (forall @t220 (= (= @t399 @t740) @t767))) % 2.13/2.39 (assume @p667 (forall @t220 (= (= @t740 @t399) @t767))) % 2.13/2.39 (assume @p668 (forall @t220 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t740) (or @t695 @t236)))) % 2.13/2.39 (assume @p669 (forall @t768 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t183 @t157))))) % 2.13/2.39 (assume @p670 (forall @t768 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t183 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t183))))) % 2.13/2.39 (assume @p671 (forall @t220 (= @t217 (exists @t765 (= @t170 (tptp.c_Nat_OSuc @t764)))))) % 2.13/2.39 (assume @p672 (forall @t151 (= @t396 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t412 @t119)))) % 2.13/2.39 (assume @p673 (forall @t151 (= @t396 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t119 @t412)))) % 2.13/2.39 (assume @p674 (forall @t654 (= @t653 (or @t644 @t218)))) % 2.13/2.39 (assume @p675 (forall @t118 (=> @t16 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t770 @t769)))) % 2.13/2.39 (assume @p676 (forall @t118 (=> @t24 (=> @t68 (=> @t137 (= @t770 @t769)))))) % 2.13/2.39 (assume @p677 (forall @t196 (=> @t774 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t119) (=> @t772 (=> @t771 @t223)))))) % 2.13/2.39 (assume @p678 (forall @t196 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t773 @t157) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t157 @t119) (not @t771))))) % 2.13/2.39 (assume @p679 (forall (@list @t119 @t268) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t382 @t268) @t119)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t773 @t119) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t268 @t119))))) % 2.13/2.39 (assume @p680 (forall @t777 (= @t776 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t382 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t640)) @t727))))) % 2.13/2.39 (assume @p681 (forall @t777 (= @t776 (tptp.hBOOL (tptp.hAPP @t775 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t727)))))) % 2.13/2.39 (assume @p682 (forall @t710 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t382 (tptp.hAPP @t778 @t157)) (tptp.hAPP @t778 @t119))) (=> (not (= @t197 @t773)) @t772)))) % 2.13/2.39 (assume @p683 (forall (@list @t727 @t215 @t643) (=> (not (= @t643 @t773)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t382 @t215) @t727)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t382 @t731) (tptp.hAPP @t730 @t727))))))) % 2.13/2.39 (assume @p684 (forall @t274 (= (tptp.hAPP (tptp.hAPP @t383 @t733) @t268) (tptp.hAPP @t732 (tptp.hAPP (tptp.hAPP @t574 @t161) @t268))))) % 2.13/2.39 (assume @p685 (forall @t118 (=> @t16 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t10 @t420) @t769) (tptp.hAPP (tptp.hAPP @t402 @t73) @t117))))) % 2.13/2.39 (assume @p686 (forall @t308 (=> @t309 (= (= @t619 @t11) @t107)))) % 2.13/2.39 (assume @p687 (forall @t654 (=> @t696 (= @t698 @t217)))) % 2.13/2.39 (assume @p688 (forall @t654 (=> @t696 (= @t653 @t218)))) % 2.13/2.39 (assume @p689 (forall @t654 (= @t726 (or @t644 @t725)))) % 2.13/2.39 (assume @p690 (forall (@list @t779 @t20 @t88 @t27 @t10) (=> @t103 (= (tptp.c_Polynomial_Opdivmod__rel @t10 @t27 @t88 @t20 @t779) (and (= @t27 (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP (tptp.hAPP @t418 @t20) @t88) @t779)) (=> @t781 @t130) (=> (not @t781) (or @t780 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t10 @t779) (tptp.c_Polynomial_Odegree @t10 @t88))))))))) % 2.13/2.39 (assume @p691 (forall (@list @t12 @t40 @t119 @t10) (=> @t319 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t10 (tptp.hAPP (tptp.hAPP @t418 (tptp.c_Polynomial_Omonom @t10 @t296 @t119)) @t40)) @t12) (tptp.hAPP (tptp.hAPP @t402 @t164) @t120))))) % 2.13/2.39 (assume @p692 (forall (@list @t782 @t40 @t52 @t10) (=> @t16 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t10 @t110 @t782) (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.c_Polynomial_Osmult @t10 @t782 @t783) (tptp.c_Polynomial_OpCons @t10 @t52 @t783)))))) % 2.13/2.39 (assume @p693 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t773 @t784)) % 2.13/2.39 (assume @p694 (forall @t785 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t784 @t60) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t773 @t60)))) % 2.13/2.39 (assume @p695 (forall @t785 (= (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 @t784 @t60) @t60) @t773) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t60 @t773)))) % 2.13/2.39 (assume @p696 (forall @t787 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t268) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t773 @t786)))) % 2.13/2.39 (assume @p697 (forall @t220 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t773 @t215) (= (= (tptp.hAPP (tptp.hAPP @t728 @t215) @t170) @t784) (and (= @t215 @t784) (= @t170 @t784)))))) % 2.13/2.39 (assume @p698 (forall (@list @t268 @t788) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t788 @t268) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t788 @t784) @t268)))) % 2.13/2.39 (assume @p699 (forall @t790 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t637 @t784) @t60) @t789))) % 2.13/2.39 (assume @p700 (forall @t790 (= @t791 (or @t789 (= @t637 @t60))))) % 2.13/2.39 (assume @p701 (forall @t790 (= @t791 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t637 @t60)))) % 2.13/2.39 (assume @p702 (not (= @t773 @t784))) % 2.13/2.39 (assume @p703 (forall @t787 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t786 @t268) @t773)))) % 2.13/2.39 (assume @p704 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t773) @t773)) % 2.13/2.39 (assume @p705 (forall @t787 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t792 @t268) @t773))) % 2.13/2.39 (assume @p706 (forall @t795 (= (tptp.hAPP (tptp.hAPP @t728 @t792) @t788) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t794)))) % 2.13/2.39 (assume @p707 (forall @t787 (= (tptp.hAPP @t793 @t784) @t268))) % 2.13/2.39 (assume @p708 (forall @t787 (= (tptp.hAPP (tptp.hAPP @t728 @t784) @t268) @t268))) % 2.13/2.39 (assume @p709 (forall @t795 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t796) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t792 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t788))))) % 2.13/2.39 (assume @p710 (forall @t787 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t792) @t268))) % 2.13/2.39 (assume @p711 (forall @t795 (= @t794 (tptp.hAPP @t797 @t268)))) % 2.13/2.39 (assume @p712 (forall (@list @t798 @t799 @t788) (= (tptp.hAPP @t797 @t800) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t797 @t799) (tptp.hAPP @t797 @t798))))) % 2.13/2.39 (assume @p713 (forall @t804 (= (tptp.hAPP (tptp.hAPP @t728 (tptp.hAPP @t803 @t798)) @t801) (tptp.hAPP @t803 (tptp.hAPP @t802 @t801))))) % 2.13/2.39 (assume @p714 (forall (@list @t788 @t798 @t799) (= (tptp.hAPP (tptp.hAPP @t728 @t800) @t788) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t803 @t788) (tptp.hAPP @t802 @t788))))) % 2.13/2.39 (assume @p715 (forall (@list @t637 @t60) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t60 @t637) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t60 @t637) (not (= @t60 @t637)))))) % 2.13/2.39 (assume @p716 (forall @t234 (=> @t805 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t197 @t183) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t197 @t232))))) % 2.13/2.39 (assume @p717 (forall (@list @t268 @t807 @t788 @t808) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t808 @t788) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t807 @t268) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t808 @t807) @t806))))) % 2.13/2.39 (assume @p718 (forall @t234 (=> @t809 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t773 @t197) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t778 @t183) (tptp.hAPP @t778 @t232)))))) % 2.13/2.39 (assume @p719 (forall @t234 (=> @t809 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t183 @t197) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t232 @t197))))) % 2.13/2.39 (assume @p720 (forall @t222 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t12 @t161) @t202 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t161 @t12)))) % 2.13/2.39 (assume @p721 (forall @t196 (= @t738 @t766))) % 2.13/2.39 (assume @p722 (forall @t274 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t12 @t734) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t161 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t12 @t268))))) % 2.13/2.39 (assume @p723 (forall @t739 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t738 @t197) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t810)))) % 2.13/2.39 (assume @p724 (forall @t654 (= (= @t755 @t754) @t218))) % 2.13/2.39 (assume @p725 (forall @t649 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t215 @t643) @t758) @t218))) % 2.13/2.39 (assume @p726 (forall @t787 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t773 @t268) @t268))) % 2.13/2.39 (assume @p727 (forall @t787 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t268 @t773) @t268))) % 2.13/2.39 (assume @p728 (forall @t804 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t800 @t801) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t799 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t798 @t801))))) % 2.13/2.39 (assume @p729 (forall @t274 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t161 @t268)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t161 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 @t268))))) % 2.13/2.39 (assume @p730 (forall @t795 (= @t796 @t806))) % 2.13/2.39 (assume @p731 (forall @t795 (=> @t812 (=> @t811 (= @t268 @t788))))) % 2.13/2.39 (assume @p732 (forall @t234 (=> @t805 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t232 @t197) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t183 @t197))))) % 2.13/2.39 (assume @p733 (forall @t795 (or @t812 @t811))) % 2.13/2.39 (assume @p734 (forall (@list @t788) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t788 @t788))) % 2.13/2.39 (assume @p735 (forall (@list @t779 @t20 @t88 @t10) (=> @t103 (= (tptp.c_Polynomial_Opdivmod__rel @t10 @t14 @t88 @t20 @t779) (and @t130 @t780))))) % 2.13/2.39 (assume @p736 (forall (@list @t779 @t20 @t27 @t10) (=> @t103 (= (tptp.c_Polynomial_Opdivmod__rel @t10 @t27 @t14 @t20 @t779) (and @t130 (= @t779 @t27)))))) % 2.13/2.39 (assume @p737 (forall @t722 (=> @t103 (tptp.c_Polynomial_Opdivmod__rel @t10 @t14 @t161 @t14 @t14)))) % 2.13/2.39 (assume @p738 (forall @t17 (=> @t103 (tptp.c_Polynomial_Opdivmod__rel @t10 @t12 @t14 @t14 @t12)))) % 2.13/2.39 (assume @p739 (forall (@list @t52 @t572 @t38 @t161 @t12 @t10) (=> @t103 (=> @t814 (tptp.c_Polynomial_Opdivmod__rel @t10 @t813 @t161 @t94 (tptp.c_Polynomial_Osmult @t10 @t52 @t572)))))) % 2.13/2.39 (assume @p740 (forall (@list @t91 @t170 @t32 @t10) (=> @t29 (= (= @t815 (tptp.c_Polynomial_Omonom @t10 @t91 @t170)) @t92)))) % 2.13/2.39 (assume @p741 (forall @t823 (=> @t103 (=> @t822 (=> @t820 @t818))))) % 2.13/2.39 (assume @p742 (forall @t823 (=> @t103 (=> @t822 (=> @t820 @t824))))) % 2.13/2.39 (assume @p743 (forall @t823 (=> @t103 (=> @t822 (=> @t820 (and @t818 @t824)))))) % 2.13/2.39 (assume @p744 (forall (@list @t825 @t21 @t10) (=> @t16 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t10 @t21 @t825) @t14) @t33)))) % 2.13/2.39 (assume @p745 (forall (@list @t782 @t10) (=> @t16 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t10 @t14 @t782) @t14)))) % 2.13/2.39 (assume @p746 (forall (@list @t782 @t40 @t10) (=> @t16 (= (tptp.c_Polynomial_Odegree @t10 @t783) @t65)))) % 2.13/2.39 (assume @p747 (forall @t139 (=> @t29 (= (tptp.c_Polynomial_Omonom @t10 @t11 @t119) @t14)))) % 2.13/2.39 (assume @p748 (forall @t179 (=> @t29 (= (= @t815 @t14) @t107)))) % 2.13/2.39 (assume @p749 (forall @t181 (=> @t29 (=> @t78 (= @t827 @t119))))) % 2.13/2.39 (assume @p750 (forall @t169 (=> @t29 (and (=> @t223 (= @t829 @t52)) (=> @t224 (= @t829 @t11)))))) % 2.13/2.39 (assume @p751 (forall @t150 (=> @t16 (= (tptp.c_Polynomial_Osmult @t10 @t52 @t830) (tptp.c_Polynomial_Omonom @t10 @t427 @t119))))) % 2.13/2.39 (assume @p752 (forall @t181 (=> @t29 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t827 @t119)))) % 2.13/2.39 (assume @p753 (forall (@list @t119 @t140 @t157 @t52 @t10) (=> @t16 (= (tptp.hAPP (tptp.hAPP @t418 @t828) @t830) (tptp.c_Polynomial_Omonom @t10 @t427 @t738))))) % 2.13/2.39 (assume @p754 (forall @t154 (=> @t616 (= (tptp.c_Groups_Oplus__class_Oplus @t13 @t826 @t830) (tptp.c_Polynomial_Omonom @t10 @t595 @t119))))) % 2.13/2.39 (assume @p755 (forall @t181 (=> @t303 (= (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t826) (tptp.c_Polynomial_Omonom @t10 @t294 @t119))))) % 2.13/2.39 (assume @p756 (forall (@list @t831 @t833 @t268 @t572 @t38 @t161 @t12 @t10) (=> @t103 (=> @t814 (=> (tptp.c_Polynomial_Opdivmod__rel @t10 @t38 @t268 @t833 @t831) (tptp.c_Polynomial_Opdivmod__rel @t10 @t12 (tptp.hAPP @t832 @t268) @t833 (tptp.c_Groups_Oplus__class_Oplus @t13 (tptp.hAPP @t832 @t831) @t572))))))) % 2.13/2.39 (assume @p757 (forall @t181 (=> @t29 (= (tptp.c_Polynomial_Omonom @t10 @t52 @t396) (tptp.c_Polynomial_OpCons @t10 @t11 @t826))))) % 2.13/2.39 (assume @p758 (forall (@list @t12 @t119 @t52 @t10) (=> @t99 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t10 @t826) @t12) (tptp.hAPP @t410 @t164))))) % 2.13/2.39 (assume @p759 (forall @t81 (=> @t29 (= (tptp.c_Polynomial_Omonom @t10 @t52 @t31) @t80)))) % 2.13/2.39 (assume @p760 (forall (@list @t12 @t782 @t40 @t10) (=> @t16 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t10 @t783) @t12) (tptp.hAPP @t41 (tptp.c_Groups_Oplus__class_Oplus @t10 @t782 @t12)))))) % 2.13/2.39 (assume @p761 (forall (@list @t782 @t52 @t10) (=> @t16 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t10 @t80 @t782) @t80)))) % 2.13/2.39 (assume @p762 (forall @t838 (=> @t837 (=> @t836 (=> @t834 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t38 @t784)))))) % 2.13/2.39 (assume @p763 (forall @t838 (=> @t837 (=> @t836 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t572 @t52) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t784 @t38)))))) % 2.13/2.39 (assume @p764 (forall @t849 (=> @t848 (=> @t845 (=> @t843 (=> @t842 (=> @t841 (=> @t840 @t839)))))))) % 2.13/2.39 (assume @p765 (forall @t852 (=> @t851 (=> @t850 (=> @t841 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t833)))))) % 2.13/2.39 (assume @p766 (forall @t852 (=> @t845 (=> @t842 (=> @t841 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t833 @t773)))))) % 2.13/2.39 (assume @p767 (forall @t854 (=> @t853 (=> @t842 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t831 @t140) (=> @t843 @t839)))))) % 2.13/2.39 (assume @p768 (forall @t849 (=> @t848 (=> @t851 (=> @t850 (=> @t834 (=> @t841 (=> @t840 @t855)))))))) % 2.13/2.39 (assume @p769 (forall @t854 (=> @t853 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t572 @t773) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t140 @t572) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t140 @t831) @t855)))))) % 2.13/2.39 (assume @p770 (forall (@list @t119 @t12) (=> @t856 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 (tptp.hAPP @t732 @t119))))) % 2.13/2.39 (assume @p771 (forall @t222 (=> @t856 (=> @t857 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 (tptp.hAPP (tptp.hAPP @t728 @t12) @t161)))))) % 2.13/2.39 (assume @p772 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t773)) % 2.13/2.39 (assume @p773 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t784)) % 2.13/2.39 (assume @p774 (forall @t222 (=> @t856 (=> @t857 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t12 @t161)))))) % 2.13/2.39 (assume @p775 (forall (@list @t724 @t643) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t643 @t724) (exists @t87 (= @t724 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t643 @t86)))))) % 2.13/2.39 (assume @p776 (forall @t862 (=> @t29 (=> (forall @t861 (=> @t860 @t859)) @t135)))) % 2.13/2.39 (assume @p777 (forall (@list @t643 @t229 @t640) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t773 @t640) (=> (forall @t6 (=> @t723 (tptp.hBOOL (tptp.hAPP @t229 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t640))))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t643) (forall @t6 (=> @t723 (tptp.hBOOL (tptp.hAPP @t229 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 (tptp.hAPP @t730 @t640))))))))))) % 2.13/2.39 (assume @p778 (forall @t206 (=> @t103 (and (=> @t866 (= @t864 @t11)) (=> @t867 (= @t864 @t296)))))) % 2.13/2.39 (assume @p779 (forall @t206 (=> @t103 (tptp.hBOOL (tptp.hAPP @t868 @t161))))) % 2.13/2.39 (assume @p780 (forall @t206 (=> @t103 (tptp.hBOOL (tptp.hAPP @t868 @t12))))) % 2.13/2.39 (assume @p781 (forall @t17 (=> @t103 (= (tptp.c_Polynomial_Opoly__gcd @t10 @t12 @t306) @t306)))) % 2.13/2.39 (assume @p782 (forall @t722 (=> @t103 (= (tptp.c_Polynomial_Opoly__gcd @t10 @t306 @t161) @t306)))) % 2.13/2.39 (assume @p783 (forall (@list @t161 @t12 @t197 @t10) (=> @t103 (=> (tptp.hBOOL (tptp.hAPP @t869 @t12)) (=> (tptp.hBOOL (tptp.hAPP @t869 @t161)) (tptp.hBOOL (tptp.hAPP @t869 @t863))))))) % 2.13/2.39 (assume @p784 (forall (@list @t88 @t27 @t643 @t10) (=> @t103 (= (tptp.hBOOL (tptp.hAPP @t870 @t871)) (and (tptp.hBOOL (tptp.hAPP @t870 @t27)) (tptp.hBOOL (tptp.hAPP @t870 @t88))))))) % 2.13/2.39 (assume @p785 (forall @t314 (=> @t103 (= @t872 (tptp.c_Polynomial_Opoly__gcd @t10 @t140 @t52))))) % 2.13/2.39 (assume @p786 (forall @t364 (=> @t103 (= (tptp.c_Polynomial_Opoly__gcd @t10 @t140 (tptp.c_Polynomial_Opoly__gcd @t10 @t52 @t112)) @t873)))) % 2.13/2.39 (assume @p787 (forall @t213 (=> @t103 (= (tptp.c_Polynomial_Opoly__gcd @t10 @t872 @t112) @t873)))) % 2.13/2.39 (assume @p788 (forall @t206 (=> @t103 (= (tptp.c_Polynomial_Opoly__gcd @t10 @t874 @t161) @t863)))) % 2.13/2.39 (assume @p789 (forall @t206 (=> @t103 (= (tptp.c_Polynomial_Opoly__gcd @t10 @t12 @t875) @t863)))) % 2.13/2.39 (assume @p790 (forall @t90 (=> @t103 (= (= @t871 @t14) (and (= @t27 @t14) @t781))))) % 2.13/2.39 (assume @p791 (forall @t47 (=> @t103 (= (tptp.c_Polynomial_Opoly__gcd @t10 @t14 @t14) @t14)))) % 2.13/2.39 (assume @p792 (forall (@list @t161 @t12 @t477 @t10) (=> @t103 (=> (tptp.hBOOL (tptp.hAPP @t878 @t12)) (=> (tptp.hBOOL (tptp.hAPP @t878 @t161)) (=> (forall @t765 (=> (tptp.hBOOL (tptp.hAPP @t877 @t12)) (=> (tptp.hBOOL (tptp.hAPP @t877 @t161)) (tptp.hBOOL (tptp.hAPP @t877 @t477))))) (=> (and (=> @t866 (= @t876 @t11)) (=> @t867 (= @t876 @t296))) (= @t863 @t477)))))))) % 2.13/2.39 (assume @p793 (forall (@list @t170 @t229) (=> (not (tptp.hBOOL (tptp.hAPP @t229 @t31))) (=> (tptp.hBOOL @t230) (exists @t765 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t763 @t170) (forall @t861 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t858 @t763) (not (tptp.hBOOL (tptp.hAPP @t229 @t858))))) (tptp.hBOOL (tptp.hAPP @t229 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t763 @t412))))))))) % 2.13/2.39 (assume @p794 (forall @t17 (=> @t103 (= (tptp.c_Polynomial_Opoly__gcd @t10 @t12 @t14) @t880)))) % 2.13/2.39 (assume @p795 (forall @t862 (=> @t29 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119 @t65) (exists @t861 (and @t860 (not @t859))))))) % 2.13/2.39 (assume @p796 (forall @t314 (=> @t882 (=> (= @t427 @t296) (= @t881 @t140))))) % 2.13/2.39 (assume @p797 (forall @t47 (=> @t882 (= (tptp.c_Rings_Oinverse__class_Oinverse @t10 @t296) @t296)))) % 2.13/2.39 (assume @p798 (forall @t81 (=> @t884 @t883))) % 2.13/2.39 (assume @p799 (forall @t301 (=> @t884 (= (= @t885 (tptp.c_Rings_Oinverse__class_Oinverse @t10 @t91)) @t92)))) % 2.13/2.39 (assume @p800 (forall @t314 (=> @t884 (=> @t887 @t152)))) % 2.13/2.39 (assume @p801 (forall @t181 (=> @t884 @t888))) % 2.13/2.39 (assume @p802 (forall @t47 (=> @t884 @t889))) % 2.13/2.39 (assume @p803 (forall @t308 (=> @t884 (= (= @t885 @t11) @t107)))) % 2.13/2.39 (assume @p804 (forall @t81 (=> @t882 (=> @t78 (not @t890))))) % 2.13/2.39 (assume @p805 (forall @t81 (=> @t882 (=> @t78 @t883)))) % 2.13/2.39 (assume @p806 (forall @t81 (=> @t882 (=> @t890 @t77)))) % 2.13/2.39 (assume @p807 (forall @t314 (=> @t882 (=> @t887 (=> @t78 (=> @t449 @t152)))))) % 2.13/2.39 (assume @p808 (forall @t81 (=> @t884 @t891))) % 2.13/2.39 (assume @p809 (forall @t181 (=> @t882 (=> @t78 @t888)))) % 2.13/2.39 (assume @p810 (forall @t81 (=> @t882 (=> @t78 @t891)))) % 2.13/2.39 (assume @p811 (forall @t314 (=> @t882 (=> @t78 (=> @t449 (= @t892 (tptp.hAPP (tptp.hAPP @t402 @t886) @t881))))))) % 2.13/2.39 (assume @p812 (forall @t314 (=> @t882 (=> @t78 (=> @t449 (= @t894 (tptp.hAPP (tptp.hAPP @t402 (tptp.hAPP @t893 @t595)) @t886))))))) % 2.13/2.39 (assume @p813 (forall @t81 (=> @t882 @t895))) % 2.13/2.39 (assume @p814 (forall @t81 (=> @t882 (=> @t78 (= (tptp.hAPP @t410 @t881) @t296))))) % 2.13/2.39 (assume @p815 (forall (@list @t572 @t38 @t161 @t12 @t52 @t10) (=> @t103 (=> @t78 (=> @t814 (tptp.c_Polynomial_Opdivmod__rel @t10 @t12 @t896 (tptp.c_Polynomial_Osmult @t10 @t881 @t38) @t572)))))) % 2.13/2.39 (assume @p816 (forall @t81 (=> @t897 (=> @t180 (=> @t387 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t296 @t881)))))) % 2.13/2.39 (assume @p817 (forall @t30 (=> @t900 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t899 @t296) (or @t898 (tptp.c_Orderings_Oord__class_Oless @t10 @t296 @t27)))))) % 2.13/2.39 (assume @p818 (forall @t47 (=> @t901 @t889))) % 2.13/2.39 (assume @p819 (forall @t314 (=> @t901 (= @t892 (tptp.hAPP @t893 @t886))))) % 2.13/2.39 (assume @p820 (forall @t30 (=> @t901 (= (= @t899 @t296) @t297)))) % 2.13/2.39 (assume @p821 (forall @t308 (=> @t900 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t885 @t11) @t324)))) % 2.13/2.39 (assume @p822 (forall @t308 (=> @t900 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t11 @t885) @t323)))) % 2.13/2.39 (assume @p823 (forall @t314 (=> @t897 (=> @t902 (=> @t524 @t376))))) % 2.13/2.39 (assume @p824 (forall @t314 (=> @t897 (=> @t902 (=> @t180 @t376))))) % 2.13/2.39 (assume @p825 (forall @t81 (=> @t897 (=> @t903 (=> @t78 @t525))))) % 2.13/2.39 (assume @p826 (forall @t314 (=> @t897 (=> @t148 (=> @t524 @t904))))) % 2.13/2.39 (assume @p827 (forall @t314 (=> @t897 (=> @t148 (=> @t180 @t904))))) % 2.13/2.39 (assume @p828 (forall @t81 (=> @t897 (=> @t525 @t903)))) % 2.13/2.39 (assume @p829 (forall @t81 (=> @t897 (=> @t905 (=> @t78 @t180))))) % 2.13/2.39 (assume @p830 (forall @t81 (=> @t897 (=> @t180 @t905)))) % 2.13/2.39 (assume @p831 (forall @t308 (=> @t900 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t885 @t11) @t325)))) % 2.13/2.39 (assume @p832 (forall @t308 (=> @t900 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t885) @t251)))) % 2.13/2.39 (assume @p833 (forall @t314 (=> @t897 (=> @t906 (=> @t524 @t363))))) % 2.13/2.39 (assume @p834 (forall @t314 (=> @t897 (=> @t906 (=> @t180 @t363))))) % 2.13/2.39 (assume @p835 (forall @t314 (=> @t897 (=> @t242 (=> @t524 @t907))))) % 2.13/2.39 (assume @p836 (forall @t314 (=> @t897 (=> @t242 (=> @t180 @t907))))) % 2.13/2.39 (assume @p837 (forall @t30 (=> @t900 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t899 @t296) (or @t898 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t296 @t27)))))) % 2.13/2.39 (assume @p838 (forall @t314 (=> @t103 (=> @t78 (=> @t449 (= @t894 (tptp.hAPP (tptp.hAPP @t402 (tptp.hAPP @t634 @t881)) @t886))))))) % 2.13/2.39 (assume @p839 (forall @t30 (=> @t900 (= (tptp.c_Orderings_Oord__class_Oless @t10 @t296 @t899) (and @t908 (tptp.c_Orderings_Oord__class_Oless @t10 @t27 @t296)))))) % 2.13/2.39 (assume @p840 (forall @t81 (=> @t897 (=> @t180 (=> @t386 (tptp.c_Orderings_Oord__class_Oless @t10 @t296 @t881)))))) % 2.13/2.39 (assume @p841 (forall @t81 (=> @t103 @t895))) % 2.13/2.39 (assume @p842 (forall @t30 (=> @t900 (= (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t296 @t899) (and @t908 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t27 @t296)))))) % 2.13/2.39 (assume @p843 (forall @t359 (=> @t103 (and (=> @t865 (= @t863 @t880)) @t911)))) % 2.13/2.39 (assume @p844 (forall @t206 (=> @t900 (=> (forall @t36 (=> (tptp.c_Orderings_Oord__class_Oless @t10 @t11 @t34) (=> (tptp.c_Orderings_Oord__class_Oless @t10 @t34 @t296) (tptp.c_Orderings_Oord__class_Oless__eq @t10 (tptp.hAPP (tptp.hAPP @t402 @t34) @t12) @t161)))) @t258)))) % 2.13/2.39 (assume @p845 (forall @t213 (=> @t914 (= @t913 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t410 @t912) @t112))))) % 2.13/2.39 (assume @p846 (forall @t213 (=> @t914 (= @t913 @t917)))) % 2.13/2.39 (assume @p847 (forall @t213 (=> @t914 (= @t913 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t916 @t912) @t112))))) % 2.13/2.39 (assume @p848 (forall @t552 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t508 @t507) (tptp.hAPP @t506 @t918))))) % 2.13/2.39 (assume @p849 (forall @t476 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t479 @t444) (tptp.hAPP (tptp.hAPP @t402 @t918) @t112))))) % 2.13/2.39 (assume @p850 (forall @t213 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t444) @t140) @t918)))) % 2.13/2.39 (assume @p851 (forall @t476 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.c_Groups_Oplus__class_Oplus @t10 @t52 @t507) @t140) @t918)))) % 2.13/2.39 (assume @p852 (forall @t476 (=> @t914 (= @t917 @t913)))) % 2.13/2.39 (assume @p853 (forall @t921 (=> @t914 (=> @t920 (=> @t919 (= @t913 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.hAPP @t599 @t585) @t112))))))) % 2.13/2.39 (assume @p854 (forall @t921 (=> @t914 (=> @t920 (=> @t919 (= @t922 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.c_Groups_Oplus__class_Oplus @t10 @t598 @t585) @t112))))))) % 2.13/2.39 (assume @p855 (forall @t476 (=> @t914 (= @t923 @t922)))) % 2.13/2.39 (assume @p856 (forall @t213 (=> @t914 (= @t924 @t922)))) % 2.13/2.39 (assume @p857 (forall @t213 (=> @t914 (= @t922 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.c_Groups_Oplus__class_Oplus @t10 @t915 @t912) @t112))))) % 2.13/2.39 (assume @p858 (forall @t213 (=> @t914 (= @t922 @t923)))) % 2.13/2.39 (assume @p859 (forall @t213 (=> @t914 (= @t922 @t924)))) % 2.13/2.39 (assume @p860 (forall @t379 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t614 @t140) @t918)))) % 2.13/2.39 (assume @p861 (forall @t314 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t595 @t140) @t918)))) % 2.13/2.39 (assume @p862 (forall @t314 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t427 @t140) @t11)))) % 2.13/2.39 (assume @p863 (forall @t379 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t426 @t140) @t11)))) % 2.13/2.39 (assume @p864 (forall @t81 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t52 @t52) @t11)))) % 2.13/2.39 (assume @p865 (forall @t81 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t52 @t11) @t52)))) % 2.13/2.39 (assume @p866 (forall @t81 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t11 @t52) @t11)))) % 2.13/2.39 (assume @p867 (forall @t314 (=> @t914 (=> @t211 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t140 @t52) @t11))))) % 2.13/2.39 (assume @p868 (forall @t301 (=> @t914 (= @t541 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t91 @t32) @t11))))) % 2.13/2.39 (assume @p869 (forall @t81 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t52 @t296) @t11)))) % 2.13/2.39 (assume @p870 (forall @t314 (=> @t926 (= @t925 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t918) @t140))))) % 2.13/2.39 (assume @p871 (forall (@list @t598 @t140 @t52 @t10) (=> @t926 (=> (= @t918 (tptp.c_Divides_Odiv__class_Omod @t10 @t598 @t140)) (= @t925 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t598) @t140)))))) % 2.13/2.39 (assume @p872 (forall @t314 (=> @t914 (= (tptp.c_Divides_Odiv__class_Omod @t10 @t918 @t140) @t918)))) % 2.13/2.39 (assume @p873 (forall (@list @t215 @t170 @t643 @t10) (=> @t914 (=> (tptp.hBOOL (tptp.hAPP @t927 @t170)) (= (tptp.hBOOL (tptp.hAPP @t927 (tptp.c_Divides_Odiv__class_Omod @t10 @t215 @t170))) (tptp.hBOOL (tptp.hAPP @t927 @t215))))))) % 2.13/2.39 (assume @p874 (forall @t681 (=> @t914 (=> (tptp.hBOOL (tptp.hAPP @t480 @t140)) (= (tptp.c_Divides_Odiv__class_Omod @t10 @t918 @t112) @t915))))) % 2.13/2.39 (assume @p875 (forall @t932 (=> @t914 (=> @t931 (=> @t930 @t929))))) % 2.13/2.39 (assume @p876 (forall @t932 (=> @t914 (=> @t929 (=> @t930 @t931))))) % 2.13/2.39 (assume @p877 (forall @t933 (=> @t103 (= (tptp.c_Divides_Odiv__class_Omod @t13 @t813 @t161) (tptp.c_Polynomial_Osmult @t10 @t52 @t909))))) % 2.13/2.39 (assume @p878 (forall @t206 (=> @t103 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t879 @t934) (= @t909 @t12))))) % 2.13/2.39 (assume @p879 (forall @t933 (=> @t103 (=> @t78 (= (tptp.c_Divides_Odiv__class_Omod @t13 @t12 @t896) @t909))))) % 2.13/2.39 (assume @p880 (forall @t206 (=> @t103 (= (tptp.c_Divides_Odiv__class_Omod @t13 @t874 @t161) (tptp.c_Groups_Ouminus__class_Ouminus @t13 @t909))))) % 2.13/2.39 (assume @p881 (forall @t206 (=> @t103 (= (tptp.c_Divides_Odiv__class_Omod @t13 @t12 @t875) @t909)))) % 2.13/2.39 (assume @p882 (forall (@list @t572 @t38 @t161 @t12 @t10) (=> @t103 (=> @t814 (= @t909 @t572))))) % 2.13/2.39 (assume @p883 (forall @t359 (=> @t103 @t911))) % 2.13/2.39 (assume @p884 (forall @t359 (=> @t103 (=> @t910 (or (= @t909 @t14) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t10 @t909) @t934)))))) % 2.13/2.39 (assume @p885 (forall @t388 (=> @t321 (=> @t146 (= (tptp.hAPP (tptp.hAPP @t402 (tptp.hAPP @t163 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t119 @t412))) @t12) @t164))))) % 2.13/2.39 (assume @p886 (forall (@list @t88 @t27 @t2 @t10) (=> @t357 (=> (tptp.c_Orderings_Oorder_Omono tptp.tc_Nat_Onat @t10 @t193 @t2) (=> @t289 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t352 (tptp.hAPP @t2 @t88))))))) % 2.13/2.39 (assume @p887 (forall @t710 (= (tptp.hAPP @t668 @t935) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t709 @t708)))) % 2.13/2.39 (assume @p888 (forall @t739 (= (tptp.hAPP (tptp.hAPP @t574 @t935) @t197) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t737 @t736)))) % 2.13/2.39 (assume @p889 (forall @t285 (= @t937 @t936))) % 2.13/2.39 (assume @p890 (forall @t285 (= @t936 @t937))) % 2.13/2.39 (assume @p891 (forall @t938 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t708 @t157) @t119) @t935))) % 2.13/2.39 (assume @p892 (forall @t940 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t215 @t640) @t31) (exists @t939 (= @t215 (tptp.hAPP (tptp.hAPP @t574 @t640) @t83)))))) % 2.13/2.39 (assume @p893 (forall @t940 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t215 @t640) @t773) (exists @t939 (= @t215 (tptp.hAPP (tptp.hAPP @t728 @t640) @t83)))))) % 2.13/2.39 (assume @p894 (forall @t196 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t935 @t157))) % 2.13/2.39 (assume @p895 (forall @t226 (=> @t166 @t942))) % 2.13/2.39 (assume @p896 (forall @t222 (=> @t856 (=> @t857 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t12 @t161)))))) % 2.13/2.39 (assume @p897 (forall (@list @t197 @t157) (=> @t774 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t157 @t197) @t157)))) % 2.13/2.39 (assume @p898 (forall (@list @t140) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t773 @t140) @t773))) % 2.13/2.39 (assume @p899 (forall @t53 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t52 @t52) @t773))) % 2.13/2.39 (assume @p900 (forall @t226 (=> @t146 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t935 @t119)))) % 2.13/2.39 (assume @p901 (forall @t196 (and (=> @t945 (= @t944 @t31)) (=> (not @t945) (= @t944 @t943))))) % 2.13/2.39 (assume @p902 (forall @t452 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t157 @t399) @t31))) % 2.13/2.39 (assume @p903 (forall @t196 @t946)) % 2.13/2.39 (assume @p904 (forall @t196 (and @t946 @t947))) % 2.13/2.39 (assume @p905 (forall @t196 @t947)) % 2.13/2.39 (assume @p906 (forall @t949 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t140 @t773) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t140 @t948)))) % 2.13/2.39 (assume @p907 (forall @t949 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t773 @t140) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t948 @t140)))) % 2.13/2.39 (assume @p908 (forall @t280 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t52 @t951) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t950 @t140))))) % 2.13/2.39 (assume @p909 (forall @t280 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t950 @t951) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t948)))) % 2.13/2.39 (assume @p910 (forall (@list @t157 @t12) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t952) @t157) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t12) @t157)))) % 2.13/2.39 (assume @p911 (forall @t954 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t197) @t662) @t773)) @t953))) % 2.13/2.39 (assume @p912 (forall @t954 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t197 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t662)) @t773)) @t953))) % 2.13/2.39 (assume @p913 (forall @t213 (=> @t926 (= @t956 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.c_Groups_Ominus__class_Ominus @t10 @t52 @t912) @t112))))) % 2.13/2.39 (assume @p914 (forall @t213 (=> @t926 (= @t956 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.c_Groups_Ominus__class_Ominus @t10 @t915 @t140) @t112))))) % 2.13/2.39 (assume @p915 (forall @t213 (=> @t926 (= @t956 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.c_Groups_Ominus__class_Ominus @t10 @t915 @t912) @t112))))) % 2.13/2.39 (assume @p916 (forall @t921 (=> @t926 (=> @t920 (=> @t919 (= @t956 (tptp.c_Divides_Odiv__class_Omod @t10 (tptp.c_Groups_Ominus__class_Ominus @t10 @t598 @t585) @t112))))))) % 2.13/2.39 (assume @p917 (forall @t196 (= @t944 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t943 @t119)))) % 2.13/2.39 (assume @p918 (forall (@list @t161 @t157 @t12) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t383 @t952) @t161) @t157) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t733 @t157)))) % 2.13/2.39 (assume @p919 (forall (@list @t119 @t157 @t958) (=> (tptp.hBOOL (tptp.hAPP @t959 @t157)) (=> (tptp.hBOOL (tptp.hAPP @t959 @t119)) (tptp.hBOOL (tptp.hAPP @t959 @t957)))))) % 2.13/2.39 (assume @p920 (forall @t710 (=> (tptp.hBOOL (tptp.hAPP @t960 @t957)) (=> (tptp.hBOOL (tptp.hAPP @t960 @t119)) (tptp.hBOOL (tptp.hAPP @t960 @t157)))))) % 2.13/2.39 (assume @p921 (forall @t966 (=> @t501 (= @t965 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t58 @t962))))) % 2.13/2.39 (assume @p922 (forall @t966 (=> @t501 (= @t965 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t968 @t640))))) % 2.13/2.39 (assume @p923 (forall @t966 (=> @t501 (= @t969 (tptp.c_Orderings_Oord__class_Oless @t10 @t58 @t962))))) % 2.13/2.39 (assume @p924 (forall @t966 (=> @t501 (= @t969 (tptp.c_Orderings_Oord__class_Oless @t10 @t968 @t640))))) % 2.13/2.39 (assume @p925 (forall @t587 (=> @t573 (= (tptp.hAPP @t410 (tptp.c_Groups_Ominus__class_Ominus @t10 @t140 @t585)) (tptp.c_Groups_Ominus__class_Ominus @t10 @t427 @t586))))) % 2.13/2.39 (assume @p926 (forall @t593 (=> @t573 (= (tptp.hAPP @t589 @t970) (tptp.c_Groups_Ominus__class_Ominus @t10 @t591 @t590))))) % 2.13/2.39 (assume @p927 (forall @t601 (=> @t573 (= (tptp.hAPP (tptp.hAPP @t402 (tptp.c_Groups_Ominus__class_Ominus @t10 @t52 @t598)) @t140) (tptp.c_Groups_Ominus__class_Ominus @t10 @t427 @t600))))) % 2.13/2.39 (assume @p928 (forall @t605 (=> @t573 (= (tptp.hAPP (tptp.hAPP @t402 @t970) @t602) (tptp.c_Groups_Ominus__class_Ominus @t10 @t604 @t603))))) % 2.13/2.39 (assume @p929 (forall @t739 (= (tptp.hAPP (tptp.hAPP @t574 @t941) @t197) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t737 @t736)))) % 2.13/2.39 (assume @p930 (forall @t710 (= (tptp.hAPP @t668 @t941) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t709 @t708)))) % 2.13/2.39 (assume @p931 (forall @t973 (=> @t972 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t183 @t971) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t749 @t232))))) % 2.13/2.39 (assume @p932 (forall (@list @t974 @t643 @t976) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t977 @t974) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t976 @t975)))) % 2.13/2.39 (assume @p933 (forall @t938 (=> @t198 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t157 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t766 @t197))))) % 2.13/2.39 (assume @p934 (forall @t226 (=> @t166 @t978))) % 2.13/2.39 (assume @p935 (forall @t973 (=> @t972 (= @t980 @t979)))) % 2.13/2.39 (assume @p936 (forall (@list @t974 @t976 @t643) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t643 @t976) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t974 @t977) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t975 @t976))))) % 2.13/2.39 (assume @p937 (forall @t226 (=> @t166 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t941 @t119) @t157)))) % 2.13/2.39 (assume @p938 (forall @t981 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t974 @t976) (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t976 @t974) @t643) (= @t976 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t643 @t974)))))) % 2.13/2.39 (assume @p939 (forall @t973 (=> @t972 (= @t979 @t980)))) % 2.13/2.39 (assume @p940 (forall @t973 (=> @t972 (= @t983 @t982)))) % 2.13/2.39 (assume @p941 (forall @t973 (=> @t972 (= @t982 @t983)))) % 2.13/2.39 (assume @p942 (forall @t196 (=> @t466 @t978))) % 2.13/2.39 (assume @p943 (forall @t981 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t974 @t977) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t975 @t976)))) % 2.13/2.39 (assume @p944 (forall @t196 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t738 @t119) @t157))) % 2.13/2.39 (assume @p945 (forall @t226 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t766 @t119) @t157))) % 2.13/2.39 (assume @p946 (forall @t234 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t183 @t232) @t197) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t183 @t750)))) % 2.13/2.39 (assume @p947 (forall @t710 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t197 @t157) @t746) @t941))) % 2.13/2.39 (assume @p948 (forall @t762 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t760 @t810) @t941))) % 2.13/2.39 (assume @p949 (forall @t226 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t119 @t766) @t31))) % 2.13/2.39 (assume @p950 (forall @t314 (=> @t295 (= (tptp.c_Groups_Oplus__class_Oplus @t10 @t955 @t140) @t52)))) % 2.13/2.39 (assume @p951 (forall @t314 (=> @t295 (= (tptp.c_Groups_Ominus__class_Ominus @t10 @t595 @t140) @t52)))) % 2.13/2.39 (assume @p952 (forall @t154 (=> @t303 (= (tptp.c_Groups_Ominus__class_Ominus @t13 @t826 @t830) (tptp.c_Polynomial_Omonom @t10 @t955 @t119))))) % 2.13/2.39 (assume @p953 (forall @t196 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t941 @t157))) % 2.13/2.39 (assume @p954 (forall @t986 (=> @t160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t985 @t984)))) % 2.13/2.39 (assume @p955 (forall @t986 (=> @t160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t157 @t662) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t119 @t662))))) % 2.13/2.39 (assume @p956 (forall @t566 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t183 @t119) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t119 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t119 @t183)) @t183)))) % 2.13/2.39 (assume @p957 (forall @t654 (=> @t990 (=> @t989 (= (= @t988 @t987) @t218))))) % 2.13/2.39 (assume @p958 (forall @t710 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t197 @t157) (=> @t198 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t157 @t197) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t119 @t197)) @t941))))) % 2.13/2.39 (assume @p959 (forall @t654 (=> @t990 (=> @t989 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t988 @t987) @t240))))) % 2.13/2.39 (assume @p960 (forall (@list @t119 @t197 @t232) (=> @t464 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t232 @t119) @t197)))) % 2.13/2.39 (assume @p961 (forall @t986 (=> @t182 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t157 @t662) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t985 @t984))))) % 2.13/2.39 (assume @p962 (forall @t151 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t31 @t119) @t31))) % 2.13/2.39 (assume @p963 (forall @t452 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t157 @t31) @t157))) % 2.13/2.39 (assume @p964 (forall @t452 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t157 @t157) @t31))) % 2.13/2.39 (assume @p965 (forall @t196 (=> (= @t941 @t31) (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t119 @t157) @t31) @t223)))) % 2.13/2.39 (assume @p966 (forall @t314 (=> @t303 (= (tptp.c_Groups_Ouminus__class_Ouminus @t10 @t955) (tptp.c_Groups_Ominus__class_Ominus @t10 @t140 @t52))))) % 2.13/2.39 (assume @p967 (forall @t641 (=> @t310 (=> @t991 (= @t315 (tptp.c_Orderings_Oord__class_Oless @t10 @t58 @t640)))))) % 2.13/2.39 (assume @p968 (forall @t641 (=> @t310 (=> @t991 (= @t311 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t58 @t640)))))) % 2.13/2.39 (assume @p969 (forall @t301 (=> @t295 (= @t992 @t92)))) % 2.13/2.39 (assume @p970 (forall @t301 (=> @t303 (= @t92 @t992)))) % 2.13/2.39 (assume @p971 (forall @t81 (=> @t295 (= (tptp.c_Groups_Ominus__class_Ominus @t10 @t52 @t52) @t11)))) % 2.13/2.39 (assume @p972 (forall @t81 (=> @t295 (= (tptp.c_Groups_Ominus__class_Ominus @t10 @t52 @t11) @t52)))) % 2.13/2.39 (assume @p973 (forall @t301 (=> @t310 (= @t311 (tptp.c_Orderings_Oord__class_Oless__eq @t10 @t967 @t11))))) % 2.13/2.39 (assume @p974 (forall @t301 (=> @t310 (= @t315 (tptp.c_Orderings_Oord__class_Oless @t10 @t967 @t11))))) % 2.13/2.39 (assume @p975 (forall @t997 (=> @t469 (= @t996 (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP @t405 @t995) @t994))))) % 2.13/2.39 (assume @p976 (forall @t997 (=> @t573 (= @t996 (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.c_Groups_Oplus__class_Oplus @t10 (tptp.hAPP @t993 @t995) @t994) (tptp.hAPP @t410 @t995)))))) % 2.13/2.39 (assume @p977 (forall @t966 (=> @t469 (= @t998 (= @t968 @t640))))) % 2.13/2.39 (assume @p978 (forall @t966 (=> @t469 (= @t998 (= @t58 @t962))))) % 2.13/2.39 (assume @p979 (forall @t81 (=> @t295 (= (tptp.c_Groups_Ominus__class_Ominus @t10 @t11 @t52) @t294)))) % 2.13/2.39 (assume @p980 (forall @t314 (=> @t295 @t999))) % 2.13/2.39 (assume @p981 (forall @t314 (=> @t303 @t999))) % 2.13/2.39 (assume @p982 (forall @t314 (=> @t295 (= (tptp.c_Groups_Ominus__class_Ominus @t10 @t52 @t313) @t595)))) % 2.13/2.39 (assume @p983 (forall @t1003 (=> @t1002 (tptp.class_Groups_Ocancel__comm__monoid__add @t1001)))) % 2.13/2.39 (assume @p984 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p985 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p986 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p987 (forall @t1006 (=> (tptp.class_Lattices_Oboolean__algebra @t1000) (tptp.class_Lattices_Oboolean__algebra @t1005)))) % 2.13/2.39 (assume @p988 (forall @t1006 (=> (tptp.class_Orderings_Opreorder @t1000) (tptp.class_Orderings_Opreorder @t1005)))) % 2.13/2.39 (assume @p989 (forall @t1006 (=> (tptp.class_Orderings_Oorder @t1000) (tptp.class_Orderings_Oorder @t1005)))) % 2.13/2.39 (assume @p990 (forall @t1006 (=> (tptp.class_Orderings_Oord @t1000) (tptp.class_Orderings_Oord @t1005)))) % 2.13/2.39 (assume @p991 (forall @t1006 (=> (tptp.class_Groups_Ouminus @t1000) (tptp.class_Groups_Ouminus @t1005)))) % 2.13/2.39 (assume @p992 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p993 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p994 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p995 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p996 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p997 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p998 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p999 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1000 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1001 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1002 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1003 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1004 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1005 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1006 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1007 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1008 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1009 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1010 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1011 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1012 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1013 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1014 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1015 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1016 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1017 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1018 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1019 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1020 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1021 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1022 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1023 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1024 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1025 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1026 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1027 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1028 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1029 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1030 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1031 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1032 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1033 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1034 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1035 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1036 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1037 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1038 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1039 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1040 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1041 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1042 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1043 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1044 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1045 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1046 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1047 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1048 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 2.13/2.39 (assume @p1049 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1050 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1051 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1052 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1053 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1054 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1055 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1056 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1057 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1058 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1059 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1060 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1061 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1062 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1063 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1064 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1065 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1066 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1067 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1068 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1069 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1070 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1071 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1072 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1073 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1074 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1075 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1076 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1077 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1078 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1079 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1080 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1081 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1082 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1083 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1084 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1085 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 2.13/2.39 (assume @p1086 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 2.13/2.39 (assume @p1087 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 2.13/2.39 (assume @p1088 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 2.13/2.39 (assume @p1089 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 2.13/2.39 (assume @p1090 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 2.13/2.39 (assume @p1091 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1092 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1093 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1094 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1095 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1096 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1097 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1098 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1099 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1100 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1101 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1102 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1103 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1104 @t1007) % 2.13/2.39 (assume @p1105 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1106 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1107 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1108 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1109 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1110 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1111 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1112 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1113 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1114 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1115 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1116 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1117 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1118 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1119 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1120 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1121 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1122 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1123 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1124 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1125 @t1008) % 2.13/2.39 (assume @p1126 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1127 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 2.13/2.39 (assume @p1128 (forall @t1003 (=> @t1009 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1001)))) % 2.13/2.39 (assume @p1129 (forall @t1003 (=> @t1010 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1001)))) % 2.13/2.39 (assume @p1130 (forall @t1003 (=> @t1010 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1001)))) % 2.13/2.39 (assume @p1131 (forall @t1003 (=> @t1010 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1001)))) % 2.13/2.39 (assume @p1132 (forall @t1003 (=> @t1010 (tptp.class_Rings_Olinordered__semiring__1__strict @t1001)))) % 2.13/2.39 (assume @p1133 (forall @t1003 (=> @t1010 (tptp.class_Rings_Olinordered__semiring__strict @t1001)))) % 2.13/2.39 (assume @p1134 (forall @t1003 (=> @t1010 (tptp.class_Groups_Oordered__ab__semigroup__add @t1001)))) % 2.13/2.39 (assume @p1135 (forall @t1003 (=> @t1010 (tptp.class_Groups_Oordered__comm__monoid__add @t1001)))) % 2.13/2.39 (assume @p1136 (forall @t1003 (=> @t1010 (tptp.class_Groups_Olinordered__ab__group__add @t1001)))) % 2.13/2.39 (assume @p1137 (forall @t1003 (=> @t1002 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1001)))) % 2.13/2.39 (assume @p1138 (forall @t1003 (=> @t1009 (tptp.class_Rings_Oring__1__no__zero__divisors @t1001)))) % 2.13/2.39 (assume @p1139 (forall @t1003 (=> @t1010 (tptp.class_Rings_Oordered__cancel__semiring @t1001)))) % 2.13/2.39 (assume @p1140 (forall @t1003 (=> @t1010 (tptp.class_Rings_Olinordered__ring__strict @t1001)))) % 2.13/2.39 (assume @p1141 (forall @t1003 (=> @t1009 (tptp.class_Rings_Oring__no__zero__divisors @t1001)))) % 2.13/2.39 (assume @p1142 (forall @t1003 (=> @t1010 (tptp.class_Rings_Oordered__comm__semiring @t1001)))) % 2.13/2.39 (assume @p1143 (forall @t1003 (=> @t1010 (tptp.class_Rings_Olinordered__semiring__1 @t1001)))) % 2.13/2.39 (assume @p1144 (forall @t1003 (=> @t1010 (tptp.class_Groups_Oordered__ab__group__add @t1001)))) % 2.13/2.39 (assume @p1145 (forall @t1003 (=> @t1002 (tptp.class_Groups_Ocancel__semigroup__add @t1001)))) % 2.13/2.39 (assume @p1146 (forall @t1003 (=> @t1010 (tptp.class_Rings_Olinordered__semiring @t1001)))) % 2.13/2.39 (assume @p1147 (forall @t1003 (=> @t1010 (tptp.class_Rings_Olinordered__semidom @t1001)))) % 2.13/2.39 (assume @p1148 (forall @t1003 (=> @t1011 (tptp.class_Groups_Oab__semigroup__mult @t1001)))) % 2.13/2.39 (assume @p1149 (forall @t1003 (=> @t1012 (tptp.class_Groups_Ocomm__monoid__mult @t1001)))) % 2.13/2.39 (assume @p1150 (forall @t1003 (=> @t1013 (tptp.class_Groups_Oab__semigroup__add @t1001)))) % 2.13/2.39 (assume @p1151 (forall @t1003 (=> @t1010 (tptp.class_Rings_Oordered__semiring @t1001)))) % 2.13/2.39 (assume @p1152 (forall @t1003 (=> @t1009 (tptp.class_Rings_Ono__zero__divisors @t1001)))) % 2.13/2.39 (assume @p1153 (forall @t1003 (=> @t1013 (tptp.class_Groups_Ocomm__monoid__add @t1001)))) % 2.13/2.39 (assume @p1154 (forall @t1003 (=> @t1010 (tptp.class_Rings_Olinordered__ring @t1001)))) % 2.13/2.39 (assume @p1155 (forall @t1003 (=> @t1010 (tptp.class_Rings_Olinordered__idom @t1001)))) % 2.13/2.39 (assume @p1156 @t1015) % 2.13/2.39 (assume @p1157 (forall @t1003 (=> @t1011 (tptp.class_Rings_Ocomm__semiring__0 @t1001)))) % 2.13/2.39 (assume @p1158 (forall @t1003 (=> @t1016 (tptp.class_Divides_Osemiring__div @t1001)))) % 2.13/2.39 (assume @p1159 (forall @t1003 (=> @t1011 (tptp.class_Rings_Ocomm__semiring @t1001)))) % 2.13/2.39 (assume @p1160 (forall @t1003 (=> @t1017 (tptp.class_Groups_Oab__group__add @t1001)))) % 2.13/2.39 (assume @p1161 (forall @t1003 (=> @t1012 (tptp.class_Rings_Ozero__neq__one @t1001)))) % 2.13/2.39 (assume @p1162 (forall @t1003 (=> @t1010 (tptp.class_Rings_Oordered__ring @t1001)))) % 2.13/2.39 (assume @p1163 (forall @t1003 (=> @t1010 (tptp.class_Orderings_Opreorder @t1001)))) % 2.13/2.39 (assume @p1164 (forall @t1003 (=> @t1010 (tptp.class_Orderings_Olinorder @t1001)))) % 2.13/2.39 (assume @p1165 (forall @t1003 (=> @t1012 (tptp.class_Groups_Omonoid__mult @t1001)))) % 2.13/2.39 (assume @p1166 (forall @t1003 (=> @t1018 (tptp.class_Rings_Ocomm__ring__1 @t1001)))) % 2.13/2.39 (assume @p1167 (forall @t1003 (=> @t1013 (tptp.class_Groups_Omonoid__add @t1001)))) % 2.13/2.39 (assume @p1168 (forall @t1003 (=> @t1011 (tptp.class_Rings_Osemiring__0 @t1001)))) % 2.13/2.39 (assume @p1169 (forall @t1003 (=> @t1017 (tptp.class_Groups_Ogroup__add @t1001)))) % 2.13/2.39 (assume @p1170 (forall @t1003 (=> @t1016 (tptp.class_Divides_Oring__div @t1001)))) % 2.13/2.39 (assume @p1171 (forall @t1003 (=> @t1011 (tptp.class_Rings_Omult__zero @t1001)))) % 2.13/2.39 (assume @p1172 (forall @t1003 (=> @t1019 (tptp.class_Rings_Ocomm__ring @t1001)))) % 2.13/2.39 (assume @p1173 (forall @t1003 (=> @t1010 (tptp.class_Orderings_Oorder @t1001)))) % 2.13/2.39 (assume @p1174 (forall @t1003 (=> @t1010 (tptp.class_Int_Oring__char__0 @t1001)))) % 2.13/2.39 (assume @p1175 (forall @t1003 (=> @t1011 (tptp.class_Rings_Osemiring @t1001)))) % 2.13/2.39 (assume @p1176 (forall @t1003 (=> @t1010 (tptp.class_Orderings_Oord @t1001)))) % 2.13/2.39 (assume @p1177 (forall @t1003 (=> @t1017 (tptp.class_Groups_Ouminus @t1001)))) % 2.13/2.39 (assume @p1178 (forall @t1003 (=> @t1018 (tptp.class_Rings_Oring__1 @t1001)))) % 2.13/2.39 (assume @p1179 (forall @t1003 (=> @t1012 (tptp.class_Power_Opower @t1001)))) % 2.13/2.39 (assume @p1180 (forall @t1003 (=> (tptp.class_Groups_Ozero @t1000) (tptp.class_Groups_Ozero @t1001)))) % 2.13/2.39 (assume @p1181 (forall @t1003 (=> @t1019 (tptp.class_Rings_Oring @t1001)))) % 2.13/2.39 (assume @p1182 (forall @t1003 (=> @t1009 (tptp.class_Rings_Oidom @t1001)))) % 2.13/2.39 (assume @p1183 (forall @t1003 (=> @t1012 (tptp.class_Groups_Oone @t1001)))) % 2.13/2.39 (assume @p1184 (forall @t1003 (=> @t1012 (tptp.class_Rings_Odvd @t1001)))) % 2.13/2.39 (assume @p1185 (forall @t1023 (or (not @t1022) @t1021))) % 2.13/2.39 (assume @p1186 (forall @t1023 (or (not @t1021) @t1022))) % 2.13/2.39 (assume @p1187 (not (= @t1024 @t7))) % 2.13/2.39 (assume @p1188 true) % 2.13/2.39 (step @p1189 :rule evaluate :args ((= false true))) % 2.13/2.39 (step @p1190 :rule aci_norm :args ((= (or @t1027 @t1028) (or @t1027 @t1026 @t1025 @t207)))) % 2.13/2.39 (step @p1191 :rule aci_norm :args ((= (or @t1026 (or @t1025 @t207)) @t1028))) % 2.13/2.39 (step @p1192 :rule bool-impl-elim :args (@t209 @t207)) % 2.13/2.39 (step @p1193 :rule refl :args (@t1026)) % 2.13/2.39 (step @p1194 :rule nary_cong :premises (@p1193 @p1192) :args ((or @t1026 @t210))) % 2.13/2.39 (step @p1195 :rule trans :premises (@p1194 @p1191)) % 2.13/2.39 (step @p1196 :rule bool-impl-elim :args (@t211 @t210)) % 2.13/2.39 (step @p1197 :rule trans :premises (@p1196 @p1195)) % 2.13/2.39 (step @p1198 :rule refl :args (@t1027)) % 2.13/2.39 (step @p1199 :rule nary_cong :premises (@p1198 @p1197) :args ((or @t1027 @t212))) % 2.13/2.39 (step @p1200 :rule trans :premises (@p1199 @p1190)) % 2.13/2.39 (step @p1201 :rule bool-impl-elim :args (@t99 @t212)) % 2.13/2.39 (step @p1202 :rule trans :premises (@p1201 @p1200)) % 2.13/2.39 (step @p1203 :rule cong :premises (@p1202) :args (@t214)) % 2.13/2.39 (step @p1204 :rule eq_resolve :premises (@p84 @p1203)) % 2.13/2.39 (step @p1205 :rule instantiate :premises (@p1204) :args ((@list @t263 tptp.v_s____ @t1029 @t18))) % 2.13/2.39 (step @p1206 :rule bool-impl-elim :args (@t99 @t473)) % 2.13/2.39 (step @p1207 :rule cong :premises (@p1206) :args (@t474)) % 2.13/2.39 (step @p1208 :rule eq_resolve :premises (@p339 @p1207)) % 2.13/2.39 (step @p1209 :rule instantiate :premises (@p1208) :args ((@list @t249 tptp.v_s____ @t18))) % 2.13/2.39 (step @p1210 :rule bool-impl-elim :args (@t1012 @t1014)) % 2.13/2.39 (step @p1211 :rule cong :premises (@p1210) :args (@t1015)) % 2.13/2.39 (step @p1212 :rule eq_resolve :premises (@p1156 @p1211)) % 2.13/2.39 (step @p1213 :rule instantiate :premises (@p1212) :args ((@list tptp.tc_Complex_Ocomplex))) % 2.13/2.39 (step @p1214 :rule cnf_or_pos :args (@t1032)) % 2.13/2.39 (step @p1215 :rule reordering :premises (@p1214) :args ((or @t1031 @t1030 (not @t1032)))) % 2.13/2.39 (step @p1216 :rule chain_m_resolution :premises (@p1215 @p1104 @p1213) :args (@t1030 @t1033 (@list @t1007 @t1032))) % 2.13/2.39 (step @p1217 :rule cnf_or_pos :args (@t1036)) % 2.13/2.39 (step @p1218 :rule reordering :premises (@p1217) :args ((or @t1035 @t1034 (not @t1036)))) % 2.13/2.39 (step @p1219 :rule chain_m_resolution :premises (@p1218 @p1216 @p1209) :args (@t1034 @t1033 (@list @t1030 @t1036))) % 2.13/2.39 (step @p1220 :rule bool-impl-elim :args (@t24 @t1038)) % 2.13/2.39 (step @p1221 :rule cong :premises (@p1220) :args ((forall @t59 (=> @t24 @t1038)))) % 2.13/2.39 (step @p1222 :rule eq-symm :args (@t1037 @t328)) % 2.13/2.39 (step @p1223 :rule refl :args (@t328)) % 2.13/2.39 (step @p1224 :rule eq-symm :args (@t329 @t11)) % 2.13/2.39 (step @p1225 :rule cong :premises (@p1224 @p1223) :args (@t330)) % 2.13/2.39 (step @p1226 :rule trans :premises (@p1225 @p1222)) % 2.13/2.39 (step @p1227 :rule refl :args (@t24)) % 2.13/2.39 (step @p1228 :rule cong :premises (@p1227 @p1226) :args (@t331)) % 2.13/2.39 (step @p1229 :rule cong :premises (@p1228) :args (@t332)) % 2.13/2.39 (step @p1230 :rule trans :premises (@p1229 @p1221)) % 2.13/2.39 (step @p1231 :rule eq_resolve :premises (@p195 @p1230)) % 2.13/2.39 (step @p1232 :rule eq-symm :args (@t1040 @t1041)) % 2.13/2.39 (step @p1233 :rule refl :args (@t1042)) % 2.13/2.39 (step @p1234 :rule nary_cong :premises (@p1233 @p1232) :args (@t1043)) % 2.13/2.39 (step @p1235 :rule refl :args (@t1044)) % 2.13/2.39 (step @p1236 :rule cong :premises (@p1235 @p1234) :args ((=> @t1044 @t1043))) % 2.13/2.39 (assume-push @p1279 @t1044) % 2.13/2.39 (step @p1238 :rule instantiate :premises (@p1231) :args ((@list tptp.v_x____ tptp.v_s____ tptp.tc_Complex_Ocomplex))) % 2.13/2.39 (step-pop @p1280 :rule scope :premises (@p1238)) % 2.13/2.39 (step @p1239 :rule process_scope :premises (@p1280) :args (@t1043)) % 2.13/2.39 (step @p1241 :rule eq_resolve :premises (@p1239 @p1236)) % 2.13/2.39 (step @p1242 :rule implies_elim :premises (@p1241)) % 2.13/2.39 (step @p1243 :rule chain_m_resolution :premises (@p1242 @p1231) :args (@t1046 @t1047 @t1048)) % 2.13/2.39 (step @p1244 :rule cnf_or_pos :args (@t1046)) % 2.13/2.39 (step @p1245 :rule reordering :premises (@p1244) :args ((or @t1042 @t1045 (not @t1046)))) % 2.13/2.39 (step @p1246 :rule chain_m_resolution :premises (@p1245 @p1125 @p1243) :args (@t1045 @t1033 (@list @t1008 @t1046))) % 2.13/2.39 (step @p1247 :rule symm :premises (@p3)) % 2.13/2.39 (step @p1248 :rule cnf_equiv_pos1 :args (@t1045)) % 2.13/2.39 (step @p1249 :rule reordering :premises (@p1248) :args ((or (not @t1041) @t1040 (not @t1045)))) % 2.13/2.39 (step @p1250 :rule chain_m_resolution :premises (@p1249 @p1247 @p1246) :args (@t1040 @t1033 (@list @t1041 @t1045))) % 2.13/2.39 (step @p1251 :rule cnf_or_pos :args (@t1052)) % 2.13/2.39 (step @p1252 :rule reordering :premises (@p1251) :args ((or @t1035 @t1051 @t1050 @t1049 (not @t1052)))) % 2.13/2.39 (step @p1253 :rule chain_m_resolution :premises (@p1252 @p1216 @p1250 @p1219 @p1205) :args (@t1049 (@list false false false false) (@list @t1030 @t1040 @t1034 @t1052))) % 2.13/2.39 (step @p1254 :rule true_intro :premises (@p1253)) % 2.13/2.39 (step @p1255 :rule refl :args (@t1039)) % 2.13/2.39 (step @p1256 :rule cong :premises (@p1255 @p122) :args (@t1053)) % 2.13/2.39 (step @p1257 :rule cong :premises (@p1256) :args (@t1054)) % 2.13/2.39 (step @p1258 :rule eq-symm :args (@t1054 @t1055)) % 2.13/2.39 (step @p1259 :rule nary_cong :premises (@p1233 @p1258) :args (@t1056)) % 2.13/2.39 (step @p1260 :rule cong :premises (@p1235 @p1259) :args ((=> @t1044 @t1056))) % 2.13/2.39 (assume-push @p1281 @t1044) % 2.13/2.39 (step @p1262 :rule instantiate :premises (@p1231) :args ((@list tptp.v_x____ tptp.v_pa____ tptp.tc_Complex_Ocomplex))) % 2.13/2.39 (step-pop @p1282 :rule scope :premises (@p1262)) % 2.13/2.39 (step @p1263 :rule process_scope :premises (@p1282) :args (@t1056)) % 2.13/2.39 (step @p1265 :rule eq_resolve :premises (@p1263 @p1260)) % 2.13/2.39 (step @p1266 :rule implies_elim :premises (@p1265)) % 2.13/2.39 (step @p1267 :rule chain_m_resolution :premises (@p1266 @p1231) :args (@t1058 @t1047 @t1048)) % 2.13/2.39 (step @p1268 :rule cnf_or_pos :args (@t1058)) % 2.13/2.39 (step @p1269 :rule reordering :premises (@p1268) :args ((or @t1042 @t1057 (not @t1058)))) % 2.13/2.39 (step @p1270 :rule chain_m_resolution :premises (@p1269 @p1125 @p1267) :args (@t1057 @t1033 (@list @t1008 @t1058))) % 2.13/2.39 (step @p1271 :rule symm :premises (@p1187)) % 2.13/2.39 (step @p1272 :rule cnf_equiv_pos2 :args (@t1057)) % 2.13/2.39 (step @p1273 :rule reordering :premises (@p1272) :args ((or @t1055 @t1059 (not @t1057)))) % 2.13/2.39 (step @p1274 :rule chain_m_resolution :premises (@p1273 @p1271 @p1270) :args (@t1059 (@list true false) (@list @t1055 @t1057))) % 2.13/2.39 (step @p1275 :rule false_intro :premises (@p1274)) % 2.13/2.39 (step @p1276 :rule symm :premises (@p1275)) % 2.13/2.39 (step @p1277 :rule trans :premises (@p1276 @p1257 @p1254)) % 2.13/2.39 (step @p1278 false :rule eq_resolve :premises (@p1277 @p1189)) % 2.13/2.39 ) % 2.13/2.39 % SZS output end Proof % 2.13/2.39 % cvc5 exiting %------------------------------------------------------------------------------