%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW272+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n014.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 09:04:38 AM UTC 2026 % Result : Theorem 1.13s 1.32s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW272+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n014.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:43:43 EDT 2026 % 0.16/0.34 % CPUTime : % 0.43/0.72 %----Proving TF0_NAR, FOF, or CNF % 1.13/1.32 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.13/1.32 % SZS status Theorem % 1.13/1.32 % SZS output start Proof % 1.13/1.32 ( % 1.13/1.32 (declare-sort $$unsorted 0) % 1.13/1.32 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Orderings_Oorder_Omono (-> $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.c_Polynomial_OAbs__poly (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.13/1.32 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.13/1.32 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.v_r____ $$unsorted) % 1.13/1.32 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.v_q $$unsorted) % 1.13/1.32 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.v_n $$unsorted) % 1.13/1.32 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.13/1.32 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.v_a____ $$unsorted) % 1.13/1.32 (declare-const tptp.v_qa____ $$unsorted) % 1.13/1.32 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.v_pa____ $$unsorted) % 1.13/1.32 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.v_na____ $$unsorted) % 1.13/1.32 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.13/1.32 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.v_p $$unsorted) % 1.13/1.32 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.c_Nat_Onat_Onat__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.32 (declare-const tptp.v_s____ $$unsorted) % 1.13/1.32 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.13/1.32 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.13/1.32 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.13/1.32 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.13/1.32 (define @t3 () (@var "B_x" $$unsorted)) % 1.13/1.32 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.13/1.32 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.13/1.32 (define @t6 () (@list @t3)) % 1.13/1.32 (define @t7 () (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) % 1.13/1.32 (define @t8 () (tptp.c_Groups_Ozero__class_Ozero @t7)) % 1.13/1.32 (define @t9 () (= tptp.v_pa____ @t8)) % 1.13/1.32 (define @t10 () (not @t9)) % 1.13/1.32 (define @t11 () (= tptp.v_qa____ @t8)) % 1.13/1.32 (define @t12 () (@var "T_a" $$unsorted)) % 1.13/1.32 (define @t13 () (tptp.c_Groups_Ozero__class_Ozero @t12)) % 1.13/1.32 (define @t14 () (@var "V_x_2" $$unsorted)) % 1.13/1.32 (define @t15 () (= @t14 @t13)) % 1.13/1.32 (define @t16 () (tptp.class_Groups_Ozero @t12)) % 1.13/1.32 (define @t17 () (@list @t14 @t12)) % 1.13/1.32 (define @t18 () (tptp.tc_Polynomial_Opoly @t12)) % 1.13/1.32 (define @t19 () (tptp.c_Groups_Ozero__class_Ozero @t18)) % 1.13/1.32 (define @t20 () (@var "V_h" $$unsorted)) % 1.13/1.32 (define @t21 () (tptp.class_Rings_Ocomm__semiring__0 @t12)) % 1.13/1.32 (define @t22 () (@var "V_pb_2" $$unsorted)) % 1.13/1.32 (define @t23 () (= @t22 @t19)) % 1.13/1.32 (define @t24 () (@var "V_h_2" $$unsorted)) % 1.13/1.32 (define @t25 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.13/1.32 (define @t26 () (@var "V_z_2" $$unsorted)) % 1.13/1.32 (define @t27 () (@var "T_b" $$unsorted)) % 1.13/1.32 (define @t28 () (tptp.tc_Polynomial_Opoly @t27)) % 1.13/1.32 (define @t29 () (tptp.c_Groups_Ozero__class_Ozero @t28)) % 1.13/1.32 (define @t30 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t27)) @t29) @t26) @t26)) % 1.13/1.32 (define @t31 () (tptp.class_Groups_Ozero @t27)) % 1.13/1.32 (define @t32 () (@var "V_n" $$unsorted)) % 1.13/1.32 (define @t33 () (@list @t32 @t12)) % 1.13/1.32 (define @t34 () (@var "V_aa_2" $$unsorted)) % 1.13/1.32 (define @t35 () (= @t34 @t13)) % 1.13/1.32 (define @t36 () (@var "V_nb_2" $$unsorted)) % 1.13/1.32 (define @t37 () (tptp.c_Polynomial_Omonom @t12 @t34 @t36)) % 1.13/1.32 (define @t38 () (@list @t36 @t34 @t12)) % 1.13/1.32 (define @t39 () (@var "V_x" $$unsorted)) % 1.13/1.32 (define @t40 () (tptp.c_Polynomial_Opoly @t12 @t19)) % 1.13/1.32 (define @t41 () (@list @t39 @t12)) % 1.13/1.32 (define @t42 () (@var "V_p" $$unsorted)) % 1.13/1.32 (define @t43 () (@list @t42 @t12)) % 1.13/1.32 (define @t44 () (tptp.c_Polynomial_Osmult @t12 @t34 @t22)) % 1.13/1.32 (define @t45 () (tptp.class_Rings_Oidom @t12)) % 1.13/1.32 (define @t46 () (@list @t22 @t34 @t12)) % 1.13/1.32 (define @t47 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.13/1.32 (define @t48 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.13/1.32 (define @t49 () (@var "B_n" $$unsorted)) % 1.13/1.32 (define @t50 () (@var "V_qb_2" $$unsorted)) % 1.13/1.32 (define @t51 () (tptp.c_Polynomial_Ocoeff @t12 @t22)) % 1.13/1.32 (define @t52 () (@list @t49)) % 1.13/1.32 (define @t53 () (= @t22 @t50)) % 1.13/1.32 (define @t54 () (@list @t50 @t22 @t12)) % 1.13/1.32 (define @t55 () (tptp.c_Polynomial_Opoly @t12 @t22)) % 1.13/1.32 (define @t56 () (and (tptp.class_Int_Oring__char__0 @t12) @t45)) % 1.13/1.32 (define @t57 () (@var "V_y_2" $$unsorted)) % 1.13/1.32 (define @t58 () (= @t14 @t57)) % 1.13/1.32 (define @t59 () (tptp.c_Polynomial_Ocoeff @t12 @t14)) % 1.13/1.32 (define @t60 () (@list @t57 @t14 @t12)) % 1.13/1.32 (define @t61 () (@var "V_m" $$unsorted)) % 1.13/1.32 (define @t62 () (@var "V_a" $$unsorted)) % 1.13/1.32 (define @t63 () (tptp.c_Polynomial_Omonom @t12 @t62 @t61)) % 1.13/1.32 (define @t64 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t63) @t32)) % 1.13/1.32 (define @t65 () (= @t61 @t32)) % 1.13/1.32 (define @t66 () (not @t65)) % 1.13/1.32 (define @t67 () (@list @t62 @t32 @t61 @t12)) % 1.13/1.32 (define @t68 () (@var "V_b_2" $$unsorted)) % 1.13/1.32 (define @t69 () (= @t34 @t68)) % 1.13/1.32 (define @t70 () (@list @t62 @t12)) % 1.13/1.32 (define @t71 () (@list @t22 @t12)) % 1.13/1.32 (define @t72 () (tptp.c_Polynomial_Oorder tptp.tc_Complex_Ocomplex tptp.v_a____ tptp.v_pa____)) % 1.13/1.32 (define @t73 () (tptp.c_Polynomial_Opoly__rec @t12 @t27 @t26 @t2 @t22)) % 1.13/1.32 (define @t74 () (tptp.hAPP (tptp.hAPP @t2 @t34) @t22)) % 1.13/1.32 (define @t75 () (tptp.c_Polynomial_Opoly__rec @t12 @t27 @t26 @t2 (tptp.c_Polynomial_OpCons @t27 @t34 @t22))) % 1.13/1.32 (define @t76 () (tptp.c_Polynomial_OpCons @t12 @t62 @t19)) % 1.13/1.32 (define @t77 () (tptp.c_Rings_Odvd__class_Odvd @t18)) % 1.13/1.32 (define @t78 () (tptp.hAPP @t77 @t22)) % 1.13/1.32 (define @t79 () (tptp.hBOOL (tptp.hAPP @t78 @t50))) % 1.13/1.32 (define @t80 () (not @t35)) % 1.13/1.32 (define @t81 () (= @t50 @t19)) % 1.13/1.32 (define @t82 () (tptp.class_Fields_Ofield @t12)) % 1.13/1.32 (define @t83 () (@list @t50 @t22 @t34 @t12)) % 1.13/1.32 (define @t84 () (@var "V_q" $$unsorted)) % 1.13/1.32 (define @t85 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 @t84) @t39)) % 1.13/1.32 (define @t86 () (tptp.c_Polynomial_Opoly @t12 @t42)) % 1.13/1.32 (define @t87 () (tptp.c_Polynomial_Opcompose @t12 @t42 @t84)) % 1.13/1.32 (define @t88 () (@list @t39 @t84 @t42 @t12)) % 1.13/1.32 (define @t89 () (tptp.c_Polynomial_Odegree @t12 @t42)) % 1.13/1.32 (define @t90 () (tptp.c_Polynomial_Ocoeff @t12 @t42)) % 1.13/1.32 (define @t91 () (tptp.hAPP @t90 @t89)) % 1.13/1.32 (define @t92 () (= @t42 @t19)) % 1.13/1.32 (define @t93 () (not @t92)) % 1.13/1.32 (define @t94 () (tptp.c_Polynomial_Odegree @t12 @t22)) % 1.13/1.32 (define @t95 () (tptp.hAPP @t51 @t94)) % 1.13/1.32 (define @t96 () (tptp.c_Polynomial_Osmult @t12 @t62 @t42)) % 1.13/1.32 (define @t97 () (tptp.c_Polynomial_Odegree @t12 @t96)) % 1.13/1.32 (define @t98 () (= @t62 @t13)) % 1.13/1.32 (define @t99 () (not @t98)) % 1.13/1.32 (define @t100 () (@list @t42 @t62 @t12)) % 1.13/1.32 (define @t101 () (tptp.c_Polynomial_OpCons @t12 @t34 @t22)) % 1.13/1.32 (define @t102 () (tptp.hAPP @t77 @t42)) % 1.13/1.32 (define @t103 () (tptp.hBOOL (tptp.hAPP @t102 @t84))) % 1.13/1.32 (define @t104 () (tptp.c_Polynomial_Odegree @t12 @t84)) % 1.13/1.32 (define @t105 () (tptp.c_Polynomial_Ocoeff @t12 @t84)) % 1.13/1.32 (define @t106 () (tptp.hAPP @t105 @t104)) % 1.13/1.32 (define @t107 () (@list @t84 @t42 @t12)) % 1.13/1.32 (define @t108 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t96) @t84))) % 1.13/1.32 (define @t109 () (tptp.class_Rings_Ocomm__semiring__1 @t12)) % 1.13/1.32 (define @t110 () (@list @t84 @t42 @t62 @t12)) % 1.13/1.32 (define @t111 () (tptp.c_Polynomial_Osmult @t12 @t62 @t84)) % 1.13/1.32 (define @t112 () (tptp.hBOOL (tptp.hAPP @t102 @t111))) % 1.13/1.32 (define @t113 () (@list @t62 @t84 @t42 @t12)) % 1.13/1.32 (define @t114 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t12 @t42 @t20)) % 1.13/1.32 (define @t115 () (@list @t12)) % 1.13/1.32 (define @t116 () (tptp.c_Polynomial_OpCons @t12 @t62 @t42)) % 1.13/1.32 (define @t117 () (tptp.c_Polynomial_Ocoeff @t12 @t116)) % 1.13/1.32 (define @t118 () (@list @t84 @t62 @t42 @t12)) % 1.13/1.32 (define @t119 () (tptp.c_Polynomial_Omonom @t12 @t62 @t32)) % 1.13/1.32 (define @t120 () (tptp.c_Polynomial_Odegree @t12 @t119)) % 1.13/1.32 (define @t121 () (@list @t32 @t62 @t12)) % 1.13/1.32 (define @t122 () (@var "V_c" $$unsorted)) % 1.13/1.32 (define @t123 () (tptp.c_Polynomial_Osmult @t12 @t122 @t42)) % 1.13/1.32 (define @t124 () (@list @t62 @t42 @t122 @t12)) % 1.13/1.32 (define @t125 () (@list @t84 @t12)) % 1.13/1.32 (define @t126 () (tptp.c_Power_Opower__class_Opower @t7)) % 1.13/1.32 (define @t127 () (tptp.c_Rings_Odvd__class_Odvd @t7)) % 1.13/1.32 (define @t128 () (tptp.c_Rings_Odvd__class_Odvd @t12)) % 1.13/1.32 (define @t129 () (tptp.hAPP @t128 @t62)) % 1.13/1.32 (define @t130 () (@list @t62)) % 1.13/1.32 (define @t131 () (@var "V_c_2" $$unsorted)) % 1.13/1.32 (define @t132 () (@list @t131 @t22 @t12)) % 1.13/1.32 (define @t133 () (tptp.c_Nat_OSuc @t89)) % 1.13/1.32 (define @t134 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t12 @t42)) % 1.13/1.32 (define @t135 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex tptp.v_a____) (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex) @t8))) % 1.13/1.32 (define @t136 () (tptp.hAPP @t126 @t135)) % 1.13/1.32 (define @t137 () (tptp.hAPP @t136 @t72)) % 1.13/1.32 (define @t138 () (tptp.c_Groups_Otimes__class_Otimes @t7)) % 1.13/1.32 (define @t139 () (tptp.hAPP @t138 @t137)) % 1.13/1.32 (define @t140 () (= tptp.v_pa____ (tptp.hAPP @t139 tptp.v_s____))) % 1.13/1.32 (define @t141 () (@var "B_m" $$unsorted)) % 1.13/1.32 (define @t142 () (@var "B_q" $$unsorted)) % 1.13/1.32 (define @t143 () (@var "B_p" $$unsorted)) % 1.13/1.32 (define @t144 () (@list @t141)) % 1.13/1.32 (define @t145 () (tptp.c_Polynomial_Odegree @t12 @t116)) % 1.13/1.32 (define @t146 () (=> @t93 (= @t145 @t133))) % 1.13/1.32 (define @t147 () (@list @t62 @t42 @t12)) % 1.13/1.32 (define @t148 () (tptp.c_Polynomial_Osynthetic__div @t12 @t42 @t122)) % 1.13/1.32 (define @t149 () (tptp.hAPP @t86 @t122)) % 1.13/1.32 (define @t150 () (tptp.c_Polynomial_OpCons @t12 @t149 @t148)) % 1.13/1.32 (define @t151 () (tptp.c_Nat_Onat_Onat__case @t12 @t34 @t51)) % 1.13/1.32 (define @t152 () (tptp.hAPP @t138 @t135)) % 1.13/1.32 (define @t153 () (tptp.c_Groups_Oone__class_Oone @t12)) % 1.13/1.32 (define @t154 () (tptp.class_Rings_Olinordered__semidom @t12)) % 1.13/1.32 (define @t155 () (tptp.c_Groups_Otimes__class_Otimes @t12)) % 1.13/1.32 (define @t156 () (tptp.hAPP @t155 @t62)) % 1.13/1.32 (define @t157 () (tptp.hAPP @t156 @t62)) % 1.13/1.32 (define @t158 () (tptp.class_Rings_Olinordered__ring @t12)) % 1.13/1.32 (define @t159 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t68 @t13)) % 1.13/1.32 (define @t160 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t34 @t13)) % 1.13/1.32 (define @t161 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t68)) % 1.13/1.32 (define @t162 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t34)) % 1.13/1.32 (define @t163 () (tptp.hAPP @t155 @t34)) % 1.13/1.32 (define @t164 () (tptp.hAPP @t163 @t68)) % 1.13/1.32 (define @t165 () (tptp.class_Rings_Olinordered__ring__strict @t12)) % 1.13/1.32 (define @t166 () (@list @t68 @t34 @t12)) % 1.13/1.32 (define @t167 () (tptp.c_Orderings_Oord__class_Oless @t12 @t34 @t13)) % 1.13/1.32 (define @t168 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t34)) % 1.13/1.32 (define @t169 () (tptp.class_Rings_Olinordered__idom @t12)) % 1.13/1.32 (define @t170 () (@list @t34 @t12)) % 1.13/1.32 (define @t171 () (tptp.c_Orderings_Oord__class_Oless @t12 @t68 @t34)) % 1.13/1.32 (define @t172 () (tptp.c_Orderings_Oord__class_Oless @t12 @t131 @t13)) % 1.13/1.32 (define @t173 () (tptp.c_Orderings_Oord__class_Oless @t12 @t34 @t68)) % 1.13/1.32 (define @t174 () (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t131)) % 1.13/1.32 (define @t175 () (or (and @t174 @t173) (and @t172 @t171))) % 1.13/1.32 (define @t176 () (tptp.hAPP @t155 @t68)) % 1.13/1.32 (define @t177 () (tptp.hAPP @t176 @t131)) % 1.13/1.32 (define @t178 () (tptp.hAPP @t163 @t131)) % 1.13/1.32 (define @t179 () (@list @t68 @t131 @t34 @t12)) % 1.13/1.32 (define @t180 () (tptp.hAPP @t155 @t131)) % 1.13/1.32 (define @t181 () (tptp.hAPP @t180 @t68)) % 1.13/1.32 (define @t182 () (tptp.hAPP @t180 @t34)) % 1.13/1.32 (define @t183 () (tptp.c_Orderings_Oord__class_Oless @t12 @t182 @t181)) % 1.13/1.32 (define @t184 () (@list @t68 @t34 @t131 @t12)) % 1.13/1.32 (define @t185 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t34 @t68)) % 1.13/1.32 (define @t186 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t182 @t181)) % 1.13/1.32 (define @t187 () (@var "V_b" $$unsorted)) % 1.13/1.32 (define @t188 () (tptp.hAPP @t156 @t187)) % 1.13/1.32 (define @t189 () (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t188)) % 1.13/1.32 (define @t190 () (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t187)) % 1.13/1.32 (define @t191 () (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t62)) % 1.13/1.32 (define @t192 () (tptp.class_Rings_Olinordered__semiring__strict @t12)) % 1.13/1.32 (define @t193 () (@list @t187 @t62 @t12)) % 1.13/1.32 (define @t194 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t188)) % 1.13/1.32 (define @t195 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t187)) % 1.13/1.32 (define @t196 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t62)) % 1.13/1.32 (define @t197 () (tptp.class_Rings_Oordered__cancel__semiring @t12)) % 1.13/1.32 (define @t198 () (@var "V_y" $$unsorted)) % 1.13/1.32 (define @t199 () (tptp.hAPP @t155 @t39)) % 1.13/1.32 (define @t200 () (tptp.hAPP @t199 @t198)) % 1.13/1.32 (define @t201 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t198 @t153)) % 1.13/1.32 (define @t202 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t198)) % 1.13/1.32 (define @t203 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t39)) % 1.13/1.32 (define @t204 () (@list @t198 @t39 @t12)) % 1.13/1.32 (define @t205 () (tptp.hAPP @t155 @t198)) % 1.13/1.32 (define @t206 () (tptp.c_Orderings_Oord__class_Oless @t12 @t188 @t13)) % 1.13/1.32 (define @t207 () (tptp.c_Orderings_Oord__class_Oless @t12 @t187 @t13)) % 1.13/1.32 (define @t208 () (tptp.hAPP @t155 @t187)) % 1.13/1.32 (define @t209 () (tptp.hAPP @t208 @t62)) % 1.13/1.32 (define @t210 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t188 @t13)) % 1.13/1.32 (define @t211 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t187 @t13)) % 1.13/1.32 (define @t212 () (=> @t191 @t190)) % 1.13/1.32 (define @t213 () (@list @t62 @t187 @t12)) % 1.13/1.32 (define @t214 () (tptp.c_Orderings_Oord__class_Oless @t12 @t62 @t13)) % 1.13/1.32 (define @t215 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t62 @t13)) % 1.13/1.32 (define @t216 () (tptp.class_Rings_Oordered__ring @t12)) % 1.13/1.32 (define @t217 () (tptp.hAPP @t208 @t122)) % 1.13/1.32 (define @t218 () (tptp.hAPP @t156 @t122)) % 1.13/1.32 (define @t219 () (tptp.c_Orderings_Oord__class_Oless @t12 @t218 @t217)) % 1.13/1.32 (define @t220 () (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t122)) % 1.13/1.32 (define @t221 () (tptp.c_Orderings_Oord__class_Oless @t12 @t62 @t187)) % 1.13/1.32 (define @t222 () (@list @t122 @t187 @t62 @t12)) % 1.13/1.32 (define @t223 () (tptp.hAPP @t155 @t122)) % 1.13/1.32 (define @t224 () (tptp.hAPP @t223 @t187)) % 1.13/1.32 (define @t225 () (tptp.hAPP @t223 @t62)) % 1.13/1.32 (define @t226 () (tptp.c_Orderings_Oord__class_Oless @t12 @t225 @t224)) % 1.13/1.32 (define @t227 () (=> @t221 (=> @t220 @t226))) % 1.13/1.32 (define @t228 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t218 @t217)) % 1.13/1.32 (define @t229 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t122)) % 1.13/1.32 (define @t230 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t62 @t187)) % 1.13/1.32 (define @t231 () (tptp.class_Rings_Oordered__semiring @t12)) % 1.13/1.32 (define @t232 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t225 @t224)) % 1.13/1.32 (define @t233 () (=> @t230 (=> @t229 @t232))) % 1.13/1.32 (define @t234 () (tptp.c_Orderings_Oord__class_Oless @t12 @t122 @t13)) % 1.13/1.32 (define @t235 () (tptp.c_Orderings_Oord__class_Oless @t12 @t187 @t62)) % 1.13/1.32 (define @t236 () (@list @t122 @t62 @t187 @t12)) % 1.13/1.32 (define @t237 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t122 @t13)) % 1.13/1.32 (define @t238 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t187 @t62)) % 1.13/1.32 (define @t239 () (@var "V_d" $$unsorted)) % 1.13/1.32 (define @t240 () (tptp.hAPP @t208 @t239)) % 1.13/1.32 (define @t241 () (tptp.c_Orderings_Oord__class_Oless @t12 @t218 @t240)) % 1.13/1.32 (define @t242 () (=> @t229 @t241)) % 1.13/1.32 (define @t243 () (tptp.c_Orderings_Oord__class_Oless @t12 @t122 @t239)) % 1.13/1.32 (define @t244 () (@list @t239 @t122 @t187 @t62 @t12)) % 1.13/1.32 (define @t245 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t122 @t239)) % 1.13/1.32 (define @t246 () (=> @t229 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t218 @t240))) % 1.13/1.32 (define @t247 () (=> @t229 @t221)) % 1.13/1.32 (define @t248 () (=> @t219 @t247)) % 1.13/1.32 (define @t249 () (tptp.class_Rings_Olinordered__semiring @t12)) % 1.13/1.32 (define @t250 () (@list @t187 @t122 @t62 @t12)) % 1.13/1.32 (define @t251 () (=> @t226 @t247)) % 1.13/1.32 (define @t252 () (@list @t187 @t62 @t122 @t12)) % 1.13/1.32 (define @t253 () (=> @t220 @t230)) % 1.13/1.32 (define @t254 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t187)) % 1.13/1.32 (define @t255 () (tptp.hAPP @t156 @t254)) % 1.13/1.32 (define @t256 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t188)) % 1.13/1.32 (define @t257 () (tptp.class_Rings_Oring @t12)) % 1.13/1.32 (define @t258 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t62)) % 1.13/1.32 (define @t259 () (tptp.hAPP @t155 @t258)) % 1.13/1.32 (define @t260 () (tptp.hAPP @t259 @t187)) % 1.13/1.32 (define @t261 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t153)) % 1.13/1.32 (define @t262 () (= @t14 @t153)) % 1.13/1.32 (define @t263 () (tptp.hAPP @t155 @t14)) % 1.13/1.32 (define @t264 () (tptp.hAPP @t263 @t14)) % 1.13/1.32 (define @t265 () (tptp.class_Rings_Oring__1__no__zero__divisors @t12)) % 1.13/1.32 (define @t266 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t68)) % 1.13/1.32 (define @t267 () (= @t34 @t266)) % 1.13/1.32 (define @t268 () (tptp.c_Orderings_Oord__class_Oless @t12 @t198 @t39)) % 1.13/1.32 (define @t269 () (tptp.c_Orderings_Oord__class_Oless @t12 @t39 @t198)) % 1.13/1.32 (define @t270 () (not @t269)) % 1.13/1.32 (define @t271 () (= @t39 @t198)) % 1.13/1.32 (define @t272 () (not @t271)) % 1.13/1.32 (define @t273 () (=> @t272 (=> @t270 @t268))) % 1.13/1.32 (define @t274 () (tptp.class_Groups_Oordered__ab__group__add @t12)) % 1.13/1.32 (define @t275 () (@list @t34 @t68 @t12)) % 1.13/1.32 (define @t276 () (tptp.class_Groups_Ogroup__add @t12)) % 1.13/1.32 (define @t277 () (= (tptp.hAPP @t156 @t153) @t62)) % 1.13/1.32 (define @t278 () (tptp.class_Groups_Ocomm__monoid__mult @t12)) % 1.13/1.32 (define @t279 () (tptp.class_Groups_Omonoid__mult @t12)) % 1.13/1.32 (define @t280 () (= (tptp.hAPP (tptp.hAPP @t155 @t153) @t62) @t62)) % 1.13/1.32 (define @t281 () (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t34)) % 1.13/1.32 (define @t282 () (tptp.class_Groups_Olinordered__ab__group__add @t12)) % 1.13/1.32 (define @t283 () (tptp.hAPP @t86 @t39)) % 1.13/1.32 (define @t284 () (tptp.c_Power_Opower__class_Opower @t12)) % 1.13/1.32 (define @t285 () (tptp.hAPP @t284 @t39)) % 1.13/1.32 (define @t286 () (tptp.hAPP @t285 @t32)) % 1.13/1.32 (define @t287 () (tptp.c_Groups_Otimes__class_Otimes @t18)) % 1.13/1.32 (define @t288 () (tptp.class_Rings_Ocomm__ring__1 @t12)) % 1.13/1.32 (define @t289 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t42)) % 1.13/1.32 (define @t290 () (tptp.class_Groups_Oab__group__add @t12)) % 1.13/1.32 (define @t291 () (tptp.class_Rings_Ocomm__ring @t12)) % 1.13/1.32 (define @t292 () (tptp.hAPP @t90 @t32)) % 1.13/1.32 (define @t293 () (@list @t32 @t42 @t12)) % 1.13/1.32 (define @t294 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t96)) % 1.13/1.32 (define @t295 () (tptp.c_Power_Opower__class_Opower @t18)) % 1.13/1.32 (define @t296 () (tptp.hAPP (tptp.hAPP @t295 @t42) @t32)) % 1.13/1.32 (define @t297 () (= @t187 @t13)) % 1.13/1.32 (define @t298 () (= @t188 @t13)) % 1.13/1.32 (define @t299 () (tptp.class_Rings_Ono__zero__divisors @t12)) % 1.13/1.32 (define @t300 () (not @t297)) % 1.13/1.32 (define @t301 () (= (tptp.hAPP @t156 @t13) @t13)) % 1.13/1.32 (define @t302 () (tptp.class_Rings_Omult__zero @t12)) % 1.13/1.32 (define @t303 () (tptp.hAPP @t155 @t13)) % 1.13/1.32 (define @t304 () (= (tptp.hAPP @t303 @t62) @t13)) % 1.13/1.32 (define @t305 () (tptp.class_Rings_Ozero__neq__one @t12)) % 1.13/1.32 (define @t306 () (tptp.hAPP @t287 @t42)) % 1.13/1.32 (define @t307 () (tptp.hAPP @t306 @t84)) % 1.13/1.32 (define @t308 () (tptp.hAPP @t128 @t14)) % 1.13/1.32 (define @t309 () (tptp.hBOOL (tptp.hAPP @t308 @t57))) % 1.13/1.32 (define @t310 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t57)) % 1.13/1.32 (define @t311 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t14)) % 1.13/1.32 (define @t312 () (tptp.c_Groups_Oone__class_Oone @t18)) % 1.13/1.32 (define @t313 () (tptp.hBOOL (tptp.hAPP @t129 @t217))) % 1.13/1.32 (define @t314 () (tptp.hBOOL (tptp.hAPP @t129 @t187))) % 1.13/1.32 (define @t315 () (tptp.hBOOL (tptp.hAPP @t129 @t122))) % 1.13/1.32 (define @t316 () (tptp.hAPP @t128 @t122)) % 1.13/1.32 (define @t317 () (tptp.hAPP @t128 @t187)) % 1.13/1.32 (define @t318 () (@var "V_k" $$unsorted)) % 1.13/1.32 (define @t319 () (tptp.class_Rings_Odvd @t12)) % 1.13/1.32 (define @t320 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t188) @t122))) % 1.13/1.32 (define @t321 () (tptp.hBOOL (tptp.hAPP @t317 @t122))) % 1.13/1.32 (define @t322 () (tptp.c_Polynomial_Oorder @t12 @t62 @t42)) % 1.13/1.32 (define @t323 () (tptp.c_Polynomial_OpCons @t12 @t153 @t19)) % 1.13/1.32 (define @t324 () (tptp.hAPP @t295 (tptp.c_Polynomial_OpCons @t12 @t258 @t323))) % 1.13/1.32 (define @t325 () (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 (tptp.hAPP @t324 (tptp.c_Nat_OSuc @t322))) @t42)))) % 1.13/1.32 (define @t326 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 (tptp.hAPP @t324 @t322)) @t42))) % 1.13/1.32 (define @t327 () (tptp.hAPP @t306 @t19)) % 1.13/1.32 (define @t328 () (=> @t21 (= @t327 @t19))) % 1.13/1.32 (define @t329 () (forall @t43 @t328)) % 1.13/1.32 (define @t330 () (tptp.c_Polynomial_Osmult @t12 @t187 @t42)) % 1.13/1.32 (define @t331 () (@list @t42 @t187 @t62 @t12)) % 1.13/1.32 (define @t332 () (tptp.c_Polynomial_Osmult @t12 @t62 @t307)) % 1.13/1.32 (define @t333 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t34) @t68))) % 1.13/1.32 (define @t334 () (or (= @t131 @t13) @t333)) % 1.13/1.32 (define @t335 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t312) @t32)) % 1.13/1.32 (define @t336 () (= @t32 @t25)) % 1.13/1.32 (define @t337 () (not @t336)) % 1.13/1.32 (define @t338 () (tptp.hAPP (tptp.hAPP @t295 (tptp.c_Polynomial_OpCons @t12 @t62 @t323)) @t32)) % 1.13/1.32 (define @t339 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t89 @t32)) % 1.13/1.32 (define @t340 () (= @t292 @t13)) % 1.13/1.32 (define @t341 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t32)) % 1.13/1.32 (define @t342 () (tptp.c_Nat_OSuc @t32)) % 1.13/1.32 (define @t343 () (@list @t32 @t42 @t62 @t12)) % 1.13/1.32 (define @t344 () (@list @t39 @t42 @t62 @t12)) % 1.13/1.32 (define @t345 () (tptp.c_Polynomial_Omonom @t12 @t187 @t32)) % 1.13/1.32 (define @t346 () (@list @t32 @t187 @t62 @t12)) % 1.13/1.32 (define @t347 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t131)) % 1.13/1.32 (define @t348 () (not (= @t84 @t19))) % 1.13/1.32 (define @t349 () (@var "B_s" $$unsorted)) % 1.13/1.32 (define @t350 () (@var "B_r" $$unsorted)) % 1.13/1.32 (define @t351 () (@list @t32)) % 1.13/1.32 (define @t352 () (tptp.hAPP @t284 @t187)) % 1.13/1.32 (define @t353 () (tptp.hAPP @t352 @t32)) % 1.13/1.32 (define @t354 () (tptp.hAPP @t284 @t62)) % 1.13/1.32 (define @t355 () (tptp.hAPP @t354 @t32)) % 1.13/1.32 (define @t356 () (tptp.c_Orderings_Oord__class_Oless @t12 @t355 @t353)) % 1.13/1.32 (define @t357 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t32)) % 1.13/1.32 (define @t358 () (tptp.c_Nat_OSuc @t61)) % 1.13/1.32 (define @t359 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t358 @t342)) % 1.13/1.32 (define @t360 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t61 @t32)) % 1.13/1.32 (define @t361 () (@list @t32 @t61)) % 1.13/1.32 (define @t362 () (tptp.c_Nat_OSuc @t25)) % 1.13/1.32 (define @t363 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat)) % 1.13/1.32 (define @t364 () (tptp.hAPP @t128 @t39)) % 1.13/1.32 (define @t365 () (@list @t39 @t32 @t12)) % 1.13/1.32 (define @t366 () (tptp.hAPP @t363 @t39)) % 1.13/1.32 (define @t367 () (@list @t39)) % 1.13/1.32 (define @t368 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.13/1.32 (define @t369 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.13/1.32 (define @t370 () (tptp.hAPP @t369 @t61)) % 1.13/1.32 (define @t371 () (tptp.hAPP @t370 @t32)) % 1.13/1.32 (define @t372 () (tptp.hBOOL (tptp.hAPP @t366 @t198))) % 1.13/1.32 (define @t373 () (tptp.hAPP @t363 @t198)) % 1.13/1.32 (define @t374 () (tptp.hBOOL (tptp.hAPP @t373 @t39))) % 1.13/1.32 (define @t375 () (and @t372 (not @t374))) % 1.13/1.32 (define @t376 () (@list @t198 @t39)) % 1.13/1.32 (define @t377 () (@var "V_z" $$unsorted)) % 1.13/1.32 (define @t378 () (tptp.hAPP @t363 @t377)) % 1.13/1.32 (define @t379 () (tptp.hBOOL (tptp.hAPP @t366 @t377))) % 1.13/1.32 (define @t380 () (and @t379 (not (tptp.hBOOL (tptp.hAPP @t378 @t39))))) % 1.13/1.32 (define @t381 () (tptp.hBOOL (tptp.hAPP @t373 @t377))) % 1.13/1.32 (define @t382 () (=> (and @t381 (not (tptp.hBOOL (tptp.hAPP @t378 @t198)))) @t380)) % 1.13/1.32 (define @t383 () (@list @t377 @t198 @t39)) % 1.13/1.32 (define @t384 () (tptp.hAPP @t363 @t62)) % 1.13/1.32 (define @t385 () (tptp.hBOOL (tptp.hAPP @t384 @t187))) % 1.13/1.32 (define @t386 () (tptp.hAPP @t363 @t187)) % 1.13/1.32 (define @t387 () (tptp.hBOOL (tptp.hAPP @t386 @t62))) % 1.13/1.32 (define @t388 () (and @t385 (not @t387))) % 1.13/1.32 (define @t389 () (@list @t187 @t62)) % 1.13/1.32 (define @t390 () (tptp.hAPP @t363 @t122)) % 1.13/1.32 (define @t391 () (tptp.hBOOL (tptp.hAPP @t384 @t122))) % 1.13/1.32 (define @t392 () (and @t391 (not (tptp.hBOOL (tptp.hAPP @t390 @t62))))) % 1.13/1.32 (define @t393 () (= @t187 @t122)) % 1.13/1.32 (define @t394 () (@list @t122 @t187 @t62)) % 1.13/1.32 (define @t395 () (not (= @t198 @t39))) % 1.13/1.32 (define @t396 () (tptp.hBOOL (tptp.hAPP @t386 @t122))) % 1.13/1.32 (define @t397 () (= @t62 @t187)) % 1.13/1.32 (define @t398 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 @t32) @t61))) % 1.13/1.32 (define @t399 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 @t61) @t32))) % 1.13/1.32 (define @t400 () (not @t397)) % 1.13/1.32 (define @t401 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 @t14) @t57))) % 1.13/1.32 (define @t402 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 @t57) @t14))) % 1.13/1.32 (define @t403 () (not @t58)) % 1.13/1.32 (define @t404 () (and @t401 (not @t402))) % 1.13/1.32 (define @t405 () (@list @t57 @t14)) % 1.13/1.32 (define @t406 () (@var "V_m_2" $$unsorted)) % 1.13/1.32 (define @t407 () (= @t406 @t368)) % 1.13/1.32 (define @t408 () (tptp.hAPP @t363 @t406)) % 1.13/1.32 (define @t409 () (@list @t406)) % 1.13/1.32 (define @t410 () (@var "V_k_2" $$unsorted)) % 1.13/1.32 (define @t411 () (= @t410 @t25)) % 1.13/1.32 (define @t412 () (= @t406 @t36)) % 1.13/1.32 (define @t413 () (or @t412 @t411)) % 1.13/1.32 (define @t414 () (tptp.hAPP @t369 @t36)) % 1.13/1.32 (define @t415 () (tptp.hAPP @t414 @t410)) % 1.13/1.32 (define @t416 () (tptp.hAPP @t369 @t406)) % 1.13/1.32 (define @t417 () (tptp.hAPP @t416 @t410)) % 1.13/1.32 (define @t418 () (@list @t36 @t410 @t406)) % 1.13/1.32 (define @t419 () (tptp.hAPP @t369 @t410)) % 1.13/1.32 (define @t420 () (tptp.hAPP @t419 @t36)) % 1.13/1.32 (define @t421 () (tptp.hAPP @t419 @t406)) % 1.13/1.32 (define @t422 () (= @t421 @t420)) % 1.13/1.32 (define @t423 () (@list @t36 @t406 @t410)) % 1.13/1.32 (define @t424 () (= @t36 @t25)) % 1.13/1.32 (define @t425 () (= @t406 @t25)) % 1.13/1.32 (define @t426 () (tptp.hAPP @t416 @t36)) % 1.13/1.32 (define @t427 () (@list @t36 @t406)) % 1.13/1.32 (define @t428 () (@list @t61)) % 1.13/1.32 (define @t429 () (tptp.hAPP @t354 @t61)) % 1.13/1.32 (define @t430 () (@list @t32 @t61 @t62 @t12)) % 1.13/1.32 (define @t431 () (tptp.hAPP @t369 (tptp.c_Nat_OSuc @t410))) % 1.13/1.32 (define @t432 () (tptp.hAPP @t431 @t36)) % 1.13/1.32 (define @t433 () (tptp.hAPP @t431 @t406)) % 1.13/1.32 (define @t434 () (@var "V_l" $$unsorted)) % 1.13/1.32 (define @t435 () (@var "V_j" $$unsorted)) % 1.13/1.32 (define @t436 () (tptp.hAPP @t369 @t435)) % 1.13/1.32 (define @t437 () (@var "V_i" $$unsorted)) % 1.13/1.32 (define @t438 () (tptp.hAPP @t369 @t437)) % 1.13/1.32 (define @t439 () (tptp.hAPP @t438 @t318)) % 1.13/1.32 (define @t440 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 @t434)) % 1.13/1.32 (define @t441 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t437 @t435)) % 1.13/1.32 (define @t442 () (@list @t434 @t318 @t435 @t437)) % 1.13/1.32 (define @t443 () (tptp.hAPP @t369 @t318)) % 1.13/1.32 (define @t444 () (tptp.hAPP @t443 @t435)) % 1.13/1.32 (define @t445 () (tptp.hAPP @t443 @t437)) % 1.13/1.32 (define @t446 () (@list @t318 @t435 @t437)) % 1.13/1.32 (define @t447 () (tptp.hAPP @t436 @t318)) % 1.13/1.32 (define @t448 () (tptp.hAPP @t370 @t61)) % 1.13/1.32 (define @t449 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t61 @t32)) % 1.13/1.32 (define @t450 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.13/1.32 (define @t451 () (tptp.hAPP @t450 @t437)) % 1.13/1.32 (define @t452 () (tptp.hAPP @t451 @t32)) % 1.13/1.32 (define @t453 () (tptp.hAPP @t451 @t61)) % 1.13/1.32 (define @t454 () (@list @t32 @t61 @t437)) % 1.13/1.32 (define @t455 () (= @t36 @t368)) % 1.13/1.32 (define @t456 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t406)) % 1.13/1.32 (define @t457 () (tptp.hAPP @t450 @t14)) % 1.13/1.32 (define @t458 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t14)) % 1.13/1.32 (define @t459 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 (tptp.hAPP @t457 @t36))) % 1.13/1.32 (define @t460 () (@list @t36 @t14)) % 1.13/1.32 (define @t461 () (= @t36 @t362)) % 1.13/1.32 (define @t462 () (= @t406 @t362)) % 1.13/1.32 (define @t463 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t318)) % 1.13/1.32 (define @t464 () (tptp.hAPP @t443 @t32)) % 1.13/1.32 (define @t465 () (tptp.hAPP @t443 @t61)) % 1.13/1.32 (define @t466 () (@list @t32 @t61 @t318)) % 1.13/1.32 (define @t467 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t437 @t435)) % 1.13/1.32 (define @t468 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t406 @t36)) % 1.13/1.32 (define @t469 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t410)) % 1.13/1.32 (define @t470 () (and @t469 @t468)) % 1.13/1.32 (define @t471 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t421 @t420)) % 1.13/1.32 (define @t472 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t36)) % 1.13/1.32 (define @t473 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t406 @t36)) % 1.13/1.32 (define @t474 () (@list @t32 @t437)) % 1.13/1.32 (define @t475 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t362 @t61)) % 1.13/1.32 (define @t476 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t362 @t32)) % 1.13/1.32 (define @t477 () (@list @t61 @t32)) % 1.13/1.32 (define @t478 () (tptp.hAPP @t369 @t32)) % 1.13/1.32 (define @t479 () (tptp.hAPP @t478 @t61)) % 1.13/1.32 (define @t480 () (=> @t469 @t473)) % 1.13/1.32 (define @t481 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t421 @t420)) % 1.13/1.32 (define @t482 () (@var "V_nat_H_2" $$unsorted)) % 1.13/1.32 (define @t483 () (@var "V_nat_2" $$unsorted)) % 1.13/1.32 (define @t484 () (tptp.c_Nat_OSuc @t483)) % 1.13/1.32 (define @t485 () (@var "V_P_2" $$unsorted)) % 1.13/1.32 (define @t486 () (tptp.hAPP @t485 @t36)) % 1.13/1.32 (define @t487 () (tptp.hBOOL (tptp.hAPP @t486 @t406))) % 1.13/1.32 (define @t488 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t36 @t406)) % 1.13/1.32 (define @t489 () (@var "V_t" $$unsorted)) % 1.13/1.32 (define @t490 () (@var "V_s" $$unsorted)) % 1.13/1.32 (define @t491 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t61)) % 1.13/1.32 (define @t492 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t198)) % 1.13/1.32 (define @t493 () (not @t412)) % 1.13/1.32 (define @t494 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t32 @t61)) % 1.13/1.32 (define @t495 () (tptp.hAPP @t369 @t89)) % 1.13/1.32 (define @t496 () (tptp.hAPP @t155 @t355)) % 1.13/1.32 (define @t497 () (tptp.hAPP @t156 @t355)) % 1.13/1.32 (define @t498 () (tptp.hAPP @t496 @t62)) % 1.13/1.32 (define @t499 () (@var "V_nat_H_1" $$unsorted)) % 1.13/1.32 (define @t500 () (@var "V_nat_H" $$unsorted)) % 1.13/1.32 (define @t501 () (not @t424)) % 1.13/1.32 (define @t502 () (@list @t36)) % 1.13/1.32 (define @t503 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t61)) % 1.13/1.32 (define @t504 () (tptp.hAPP @t284 @t198)) % 1.13/1.32 (define @t505 () (tptp.hAPP @t128 @t286)) % 1.13/1.32 (define @t506 () (tptp.hBOOL (tptp.hAPP @t364 @t198))) % 1.13/1.32 (define @t507 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t358 @t32)) % 1.13/1.32 (define @t508 () (not @t360)) % 1.13/1.32 (define @t509 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t61 @t342)) % 1.13/1.32 (define @t510 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t435 @t318)) % 1.13/1.32 (define @t511 () (tptp.c_Nat_OSuc @t406)) % 1.13/1.32 (define @t512 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t36 @t511)) % 1.13/1.32 (define @t513 () (= @t512 (= @t36 @t406))) % 1.13/1.32 (define @t514 () (@list @t406 @t36)) % 1.13/1.32 (define @t515 () (tptp.c_Nat_OSuc @t36)) % 1.13/1.32 (define @t516 () (or @t468 @t412)) % 1.13/1.32 (define @t517 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t406 @t515)) % 1.13/1.32 (define @t518 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t358 @t32)) % 1.13/1.32 (define @t519 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t61 @t342)) % 1.13/1.32 (define @t520 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t515 @t406)) % 1.13/1.32 (define @t521 () (@var "V_f1_2" $$unsorted)) % 1.13/1.32 (define @t522 () (@var "V_f2_2" $$unsorted)) % 1.13/1.32 (define @t523 () (tptp.c_Nat_Onat_Onat__case @t12 @t521 @t522)) % 1.13/1.32 (define @t524 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t153 @t62)) % 1.13/1.32 (define @t525 () (tptp.hAPP @t284 @t34)) % 1.13/1.32 (define @t526 () (tptp.hAPP @t525 @t36)) % 1.13/1.32 (define @t527 () (tptp.class_Power_Opower @t12)) % 1.13/1.32 (define @t528 () (tptp.hAPP @t284 @t13)) % 1.13/1.32 (define @t529 () (tptp.class_Rings_Osemiring__0 @t12)) % 1.13/1.32 (define @t530 () (and @t527 @t529)) % 1.13/1.32 (define @t531 () (tptp.hAPP @t354 @t342)) % 1.13/1.32 (define @t532 () (@var "B_j" $$unsorted)) % 1.13/1.32 (define @t533 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 @t32)) % 1.13/1.32 (define @t534 () (tptp.hAPP @t363 @t318)) % 1.13/1.32 (define @t535 () (tptp.hBOOL (tptp.hAPP @t534 @t32))) % 1.13/1.32 (define @t536 () (tptp.hAPP @t128 @t429)) % 1.13/1.32 (define @t537 () (@list @t187 @t32 @t62 @t12)) % 1.13/1.32 (define @t538 () (tptp.hAPP @t352 @t342)) % 1.13/1.32 (define @t539 () (tptp.c_Orderings_Oord__class_Oless @t12 @t153 @t62)) % 1.13/1.32 (define @t540 () (tptp.hAPP @t528 @t32)) % 1.13/1.32 (define @t541 () (@var "V_N" $$unsorted)) % 1.13/1.32 (define @t542 () (tptp.hAPP @t354 @t541)) % 1.13/1.32 (define @t543 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t541)) % 1.13/1.32 (define @t544 () (@list @t62 @t541 @t32 @t12)) % 1.13/1.32 (define @t545 () (tptp.hAPP @t284 @t68)) % 1.13/1.32 (define @t546 () (tptp.hAPP @t545 @t57)) % 1.13/1.32 (define @t547 () (tptp.hAPP @t545 @t14)) % 1.13/1.32 (define @t548 () (tptp.c_Orderings_Oord__class_Oless @t12 @t153 @t68)) % 1.13/1.32 (define @t549 () (@list @t57 @t14 @t68 @t12)) % 1.13/1.32 (define @t550 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t32 @t541)) % 1.13/1.32 (define @t551 () (tptp.c_Orderings_Oord__class_Oless @t12 @t62 @t153)) % 1.13/1.32 (define @t552 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t62 @t153)) % 1.13/1.32 (define @t553 () (@var "V_r" $$unsorted)) % 1.13/1.32 (define @t554 () (tptp.c_Nat_OSuc @t362)) % 1.13/1.32 (define @t555 () (tptp.hBOOL (tptp.hAPP @t408 @t36))) % 1.13/1.32 (define @t556 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 @t421) @t420))) % 1.13/1.32 (define @t557 () (and @t407 @t455)) % 1.13/1.32 (define @t558 () (tptp.hAPP @t478 @t318)) % 1.13/1.32 (define @t559 () (@list @t318 @t32 @t61)) % 1.13/1.32 (define @t560 () (@var "V_ry" $$unsorted)) % 1.13/1.32 (define @t561 () (@var "V_lx" $$unsorted)) % 1.13/1.32 (define @t562 () (tptp.hAPP @t155 @t561)) % 1.13/1.32 (define @t563 () (@var "V_rx" $$unsorted)) % 1.13/1.32 (define @t564 () (tptp.hAPP @t155 @t563)) % 1.13/1.32 (define @t565 () (tptp.hAPP @t564 @t560)) % 1.13/1.32 (define @t566 () (tptp.hAPP @t562 @t565)) % 1.13/1.32 (define @t567 () (@list @t560 @t563 @t561 @t12)) % 1.13/1.32 (define @t568 () (tptp.hAPP @t155 (tptp.hAPP @t562 @t563))) % 1.13/1.32 (define @t569 () (@var "V_ly" $$unsorted)) % 1.13/1.32 (define @t570 () (tptp.hAPP @t155 @t569)) % 1.13/1.32 (define @t571 () (tptp.hAPP @t155 (tptp.hAPP @t562 @t569))) % 1.13/1.32 (define @t572 () (tptp.hAPP @t571 @t563)) % 1.13/1.32 (define @t573 () (@list @t563 @t569 @t561 @t12)) % 1.13/1.32 (define @t574 () (tptp.hAPP @t571 @t565)) % 1.13/1.32 (define @t575 () (@list @t560 @t563 @t569 @t561 @t12)) % 1.13/1.32 (define @t576 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint)) % 1.13/1.32 (define @t577 () (tptp.hAPP @t576 @t34)) % 1.13/1.32 (define @t578 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.13/1.32 (define @t579 () (@list @t68 @t34 @t36)) % 1.13/1.32 (define @t580 () (@list @t187 @t32 @t62)) % 1.13/1.32 (define @t581 () (tptp.hAPP @t285 @t42)) % 1.13/1.32 (define @t582 () (@list @t84 @t42 @t39 @t12)) % 1.13/1.32 (define @t583 () (tptp.hAPP @t285 @t84)) % 1.13/1.32 (define @t584 () (tptp.hAPP @t155 @t583)) % 1.13/1.32 (define @t585 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t39)) % 1.13/1.32 (define @t586 () (tptp.hAPP @t199 @t583)) % 1.13/1.32 (define @t587 () (tptp.hAPP @t285 (tptp.c_Nat_OSuc @t84))) % 1.13/1.32 (define @t588 () (@list @t84 @t39 @t12)) % 1.13/1.32 (define @t589 () (tptp.class_Orderings_Opreorder @t12)) % 1.13/1.32 (define @t590 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t198)) % 1.13/1.32 (define @t591 () (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t13 @t62) @t62)) % 1.13/1.32 (define @t592 () (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 @t13) @t62)) % 1.13/1.32 (define @t593 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t68 @t34)) % 1.13/1.32 (define @t594 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t12)) % 1.13/1.32 (define @t595 () (@var "V_w_2" $$unsorted)) % 1.13/1.32 (define @t596 () (tptp.hAPP @t155 @t595)) % 1.13/1.32 (define @t597 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 @t187)) % 1.13/1.32 (define @t598 () (tptp.hAPP @t155 @t597)) % 1.13/1.32 (define @t599 () (tptp.hAPP @t156 @t61)) % 1.13/1.32 (define @t600 () (= (tptp.hAPP @t598 @t122) (tptp.c_Groups_Oplus__class_Oplus @t12 @t218 @t217))) % 1.13/1.32 (define @t601 () (@var "V_d_2" $$unsorted)) % 1.13/1.32 (define @t602 () (= @t131 @t601)) % 1.13/1.32 (define @t603 () (@list @t601 @t131 @t68 @t34 @t12)) % 1.13/1.32 (define @t604 () (@list @t377 @t198 @t39 @t12)) % 1.13/1.32 (define @t605 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t122 @t62)) % 1.13/1.32 (define @t606 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 @t122)) % 1.13/1.32 (define @t607 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t122 @t239)) % 1.13/1.32 (define @t608 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 @t607)) % 1.13/1.32 (define @t609 () (@list @t239 @t122 @t62 @t12)) % 1.13/1.32 (define @t610 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t187 @t122)) % 1.13/1.32 (define @t611 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t597 @t122)) % 1.13/1.32 (define @t612 () (= @t611 (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 @t610))) % 1.13/1.32 (define @t613 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t187 @t239)) % 1.13/1.32 (define @t614 () (tptp.class_Groups_Ocomm__monoid__add @t12)) % 1.13/1.32 (define @t615 () (tptp.class_Groups_Omonoid__add @t12)) % 1.13/1.32 (define @t616 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t34 @t34)) % 1.13/1.32 (define @t617 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t122 @t187)) % 1.13/1.32 (define @t618 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t605 @t617)) % 1.13/1.32 (define @t619 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t12)) % 1.13/1.32 (define @t620 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t606 @t610)) % 1.13/1.32 (define @t621 () (tptp.class_Groups_Oordered__ab__semigroup__add @t12)) % 1.13/1.32 (define @t622 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t131 @t68)) % 1.13/1.32 (define @t623 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t131 @t34)) % 1.13/1.32 (define @t624 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t68 @t131)) % 1.13/1.32 (define @t625 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t34 @t131)) % 1.13/1.32 (define @t626 () (tptp.c_Orderings_Oord__class_Oless @t12 @t605 @t617)) % 1.13/1.32 (define @t627 () (tptp.c_Orderings_Oord__class_Oless @t12 @t606 @t610)) % 1.13/1.32 (define @t628 () (tptp.c_Orderings_Oord__class_Oless @t12 @t606 @t613)) % 1.13/1.32 (define @t629 () (=> @t243 @t628)) % 1.13/1.32 (define @t630 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t12)) % 1.13/1.32 (define @t631 () (@var "V_e" $$unsorted)) % 1.13/1.32 (define @t632 () (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t597)) % 1.13/1.32 (define @t633 () (= @t68 @t131)) % 1.13/1.32 (define @t634 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t34 @t68)) % 1.13/1.32 (define @t635 () (tptp.class_Groups_Ocancel__semigroup__add @t12)) % 1.13/1.32 (define @t636 () (=> (= @t597 @t606) @t393)) % 1.13/1.32 (define @t637 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t187 @t62)) % 1.13/1.32 (define @t638 () (tptp.hAPP @t105 @t32)) % 1.13/1.32 (define @t639 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t42 @t84)) % 1.13/1.32 (define @t640 () (@list @t32 @t84 @t42 @t12)) % 1.13/1.32 (define @t641 () (tptp.c_Polynomial_OpCons @t12 @t187 @t84)) % 1.13/1.32 (define @t642 () (@list @t84 @t187 @t42 @t62 @t12)) % 1.13/1.32 (define @t643 () (= @t57 @t13)) % 1.13/1.32 (define @t644 () (and @t15 @t643)) % 1.13/1.32 (define @t645 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t264 (tptp.hAPP (tptp.hAPP @t155 @t57) @t57))) % 1.13/1.32 (define @t646 () (tptp.hAPP @t287 @t84)) % 1.13/1.32 (define @t647 () (tptp.hAPP @t199 @t39)) % 1.13/1.32 (define @t648 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t647 (tptp.hAPP @t205 @t198))) % 1.13/1.32 (define @t649 () (tptp.class_Groups_Oordered__comm__monoid__add @t12)) % 1.13/1.32 (define @t650 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t187 @t606)) % 1.13/1.32 (define @t651 () (@list @t62 @t187 @t122 @t12)) % 1.13/1.32 (define @t652 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t187 @t122)) % 1.13/1.32 (define @t653 () (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t14 @t57) @t13)) % 1.13/1.32 (define @t654 () (tptp.c_Orderings_Oord__class_Oless @t12 @t597 @t13)) % 1.13/1.32 (define @t655 () (=> @t207 @t654)) % 1.13/1.32 (define @t656 () (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t597)) % 1.13/1.32 (define @t657 () (=> @t190 @t656)) % 1.13/1.32 (define @t658 () (= (tptp.c_Orderings_Oord__class_Oless @t12 @t616 @t13) @t167)) % 1.13/1.32 (define @t659 () (tptp.c_Orderings_Oord__class_Oless @t12 @t187 @t606)) % 1.13/1.32 (define @t660 () (tptp.c_Orderings_Oord__class_Oless @t12 @t187 @t122)) % 1.13/1.32 (define @t661 () (=> @t660 @t659)) % 1.13/1.32 (define @t662 () (tptp.hAPP @t155 @t553)) % 1.13/1.32 (define @t663 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 @t153)) % 1.13/1.32 (define @t664 () (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t258 @t62) @t13)) % 1.13/1.32 (define @t665 () (tptp.hAPP (tptp.hAPP @t155 @t663) @t61)) % 1.13/1.32 (define @t666 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t153 @t153)) % 1.13/1.32 (define @t667 () (tptp.c_Polynomial_Odegree @t12 @t639)) % 1.13/1.32 (define @t668 () (@list @t84 @t32 @t42 @t12)) % 1.13/1.32 (define @t669 () (@var "V_one_2" $$unsorted)) % 1.13/1.32 (define @t670 () (@var "V_times_2" $$unsorted)) % 1.13/1.32 (define @t671 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t12 @t669 @t670) @t34)) % 1.13/1.32 (define @t672 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t198 @t39)) % 1.13/1.32 (define @t673 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t39 @t198)) % 1.13/1.32 (define @t674 () (tptp.class_Orderings_Olinorder @t12)) % 1.13/1.32 (define @t675 () (tptp.hAPP @t2 @t14)) % 1.13/1.32 (define @t676 () (tptp.tc_fun @t12 @t27)) % 1.13/1.32 (define @t677 () (tptp.c_Orderings_Oord__class_Oless__eq @t676 @t2 @t1)) % 1.13/1.32 (define @t678 () (tptp.class_Orderings_Oord @t27)) % 1.13/1.32 (define @t679 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t377 @t198)) % 1.13/1.32 (define @t680 () (tptp.class_Orderings_Oorder @t12)) % 1.13/1.32 (define @t681 () (@list @t377 @t39 @t198 @t12)) % 1.13/1.32 (define @t682 () (@list @t39 @t198 @t12)) % 1.13/1.32 (define @t683 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t198 @t377)) % 1.13/1.32 (define @t684 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t122 @t62)) % 1.13/1.32 (define @t685 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t62 @t122)) % 1.13/1.32 (define @t686 () (tptp.class_Orderings_Oord @t12)) % 1.13/1.32 (define @t687 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t14 @t57)) % 1.13/1.32 (define @t688 () (= @t687 @t58)) % 1.13/1.32 (define @t689 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t57 @t14)) % 1.13/1.32 (define @t690 () (@list @t14 @t57 @t12)) % 1.13/1.32 (define @t691 () (@list @t1 @t2 @t12 @t27)) % 1.13/1.32 (define @t692 () (tptp.c_Orderings_Oord__class_Oless @t12 @t377 @t39)) % 1.13/1.32 (define @t693 () (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t377 @t198) @t692)) % 1.13/1.32 (define @t694 () (tptp.c_Orderings_Oord__class_Oless @t12 @t39 @t377)) % 1.13/1.32 (define @t695 () (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t198 @t377) @t694)) % 1.13/1.32 (define @t696 () (tptp.c_Orderings_Oord__class_Oless @t12 @t122 @t62)) % 1.13/1.32 (define @t697 () (tptp.c_Orderings_Oord__class_Oless @t12 @t62 @t122)) % 1.13/1.32 (define @t698 () (tptp.c_Orderings_Oord__class_Oless @t12 @t14 @t57)) % 1.13/1.32 (define @t699 () (not @t698)) % 1.13/1.32 (define @t700 () (= @t699 @t58)) % 1.13/1.32 (define @t701 () (tptp.c_Orderings_Oord__class_Oless @t12 @t57 @t14)) % 1.13/1.32 (define @t702 () (@var "V_v" $$unsorted)) % 1.13/1.32 (define @t703 () (@var "V_u" $$unsorted)) % 1.13/1.32 (define @t704 () (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP (tptp.hAPP @t155 @t703) @t39) (tptp.hAPP (tptp.hAPP @t155 @t702) @t198))) % 1.13/1.32 (define @t705 () (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t703 @t702) @t153)) % 1.13/1.32 (define @t706 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t702)) % 1.13/1.32 (define @t707 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t703)) % 1.13/1.32 (define @t708 () (@list @t702 @t703 @t198 @t62 @t39 @t12)) % 1.13/1.32 (define @t709 () (tptp.c_Polynomial_OpCons @t12 @t13 @t307)) % 1.13/1.32 (define @t710 () (tptp.hBOOL (tptp.hAPP @t485 @t3))) % 1.13/1.32 (define @t711 () (@var "V_l_2" $$unsorted)) % 1.13/1.32 (define @t712 () (tptp.hAPP @t578 @t39)) % 1.13/1.32 (define @t713 () (tptp.hAPP @t712 @t198)) % 1.13/1.32 (define @t714 () (@var "V_ra_2" $$unsorted)) % 1.13/1.32 (define @t715 () (= @t714 @t19)) % 1.13/1.32 (define @t716 () (= @t57 @t19)) % 1.13/1.32 (define @t717 () (@var "V_t_2" $$unsorted)) % 1.13/1.32 (define @t718 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.13/1.32 (define @t719 () (tptp.hAPP @t576 @t410)) % 1.13/1.32 (define @t720 () (tptp.hAPP @t718 @t410)) % 1.13/1.32 (define @t721 () (tptp.hAPP @t720 @t406)) % 1.13/1.32 (define @t722 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t198 @t377)) % 1.13/1.32 (define @t723 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t61 @t32)) % 1.13/1.32 (define @t724 () (tptp.hAPP @t370 @t318)) % 1.13/1.32 (define @t725 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t437 @t435)) % 1.13/1.32 (define @t726 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t406 @t36)) % 1.13/1.32 (define @t727 () (tptp.c_Nat_OSuc @t723)) % 1.13/1.32 (define @t728 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t61 @t342)) % 1.13/1.32 (define @t729 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t358 @t32)) % 1.13/1.32 (define @t730 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t410 @t36)) % 1.13/1.32 (define @t731 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t410 @t406)) % 1.13/1.32 (define @t732 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t61)) % 1.13/1.32 (define @t733 () (@list @t61 @t435 @t437)) % 1.13/1.32 (define @t734 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t61 @t435)) % 1.13/1.32 (define @t735 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t318)) % 1.13/1.32 (define @t736 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t437 @t318)) % 1.13/1.32 (define @t737 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t434)) % 1.13/1.32 (define @t738 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t434)) % 1.13/1.32 (define @t739 () (tptp.hAPP @t363 @t410)) % 1.13/1.32 (define @t740 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t36 @t410)) % 1.13/1.32 (define @t741 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t32 @t61)) % 1.13/1.32 (define @t742 () (@var "B_k" $$unsorted)) % 1.13/1.32 (define @t743 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t406 @t742)) % 1.13/1.32 (define @t744 () (@list @t742)) % 1.13/1.32 (define @t745 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t61 @t318) @t32)) % 1.13/1.32 (define @t746 () (@list @t32 @t318 @t61)) % 1.13/1.32 (define @t747 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t722)) % 1.13/1.32 (define @t748 () (@list @t198 @t377 @t39)) % 1.13/1.32 (define @t749 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t722)) % 1.13/1.32 (define @t750 () (@var "V_r2" $$unsorted)) % 1.13/1.32 (define @t751 () (@var "V_r1" $$unsorted)) % 1.13/1.32 (define @t752 () (= @t751 @t750)) % 1.13/1.32 (define @t753 () (@var "V_q2" $$unsorted)) % 1.13/1.32 (define @t754 () (@var "V_q1" $$unsorted)) % 1.13/1.32 (define @t755 () (= @t754 @t753)) % 1.13/1.32 (define @t756 () (tptp.c_Polynomial_Opdivmod__rel @t12 @t39 @t198 @t753 @t750)) % 1.13/1.32 (define @t757 () (tptp.c_Polynomial_Opdivmod__rel @t12 @t39 @t198 @t754 @t751)) % 1.13/1.32 (define @t758 () (@list @t750 @t753 @t751 @t754 @t198 @t39 @t12)) % 1.13/1.32 (define @t759 () (@list @t198 @t12)) % 1.13/1.32 (define @t760 () (tptp.c_Polynomial_Osmult @t12 @t62 @t39)) % 1.13/1.32 (define @t761 () (tptp.c_Polynomial_Opdivmod__rel @t12 @t39 @t198 @t84 @t553)) % 1.13/1.32 (define @t762 () (or (and @t462 @t424) (and @t425 @t461))) % 1.13/1.32 (define @t763 () (@list @t61 @t437)) % 1.13/1.32 (define @t764 () (@var "V_r_H" $$unsorted)) % 1.13/1.32 (define @t765 () (tptp.hAPP @t287 @t198)) % 1.13/1.32 (define @t766 () (@var "V_q_H" $$unsorted)) % 1.13/1.32 (define @t767 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t89 @t104)) % 1.13/1.32 (define @t768 () (tptp.c_Polynomial_Odegree @t12 @t307)) % 1.13/1.32 (define @t769 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t576 @t32) @t61))) % 1.13/1.32 (define @t770 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t576 @t61) @t32))) % 1.13/1.32 (define @t771 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.13/1.32 (define @t772 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t61)) % 1.13/1.32 (define @t773 () (tptp.hAPP @t576 @t601)) % 1.13/1.32 (define @t774 () (tptp.hBOOL (tptp.hAPP @t773 @t717))) % 1.13/1.32 (define @t775 () (@list @t717 @t601)) % 1.13/1.32 (define @t776 () (tptp.hAPP @t718 @t318)) % 1.13/1.32 (define @t777 () (tptp.c_Polynomial_Opos__poly @t12 @t22)) % 1.13/1.32 (define @t778 () (tptp.class_RealVector_Oreal__normed__algebra @t12)) % 1.13/1.32 (define @t779 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.13/1.32 (define @t780 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t779 @t377)) % 1.13/1.32 (define @t781 () (@list @t377)) % 1.13/1.32 (define @t782 () (@list @t26)) % 1.13/1.32 (define @t783 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t595 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t26 @t779))) % 1.13/1.32 (define @t784 () (@list @t26 @t595)) % 1.13/1.32 (define @t785 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t595 @t26)) % 1.13/1.32 (define @t786 () (@var "V_z2" $$unsorted)) % 1.13/1.32 (define @t787 () (@var "V_w" $$unsorted)) % 1.13/1.32 (define @t788 () (tptp.hAPP @t718 @t787)) % 1.13/1.32 (define @t789 () (@var "V_z1" $$unsorted)) % 1.13/1.32 (define @t790 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t789 @t786)) % 1.13/1.32 (define @t791 () (tptp.hAPP @t718 @t786)) % 1.13/1.32 (define @t792 () (tptp.hAPP @t718 @t789)) % 1.13/1.32 (define @t793 () (@var "V_z3" $$unsorted)) % 1.13/1.32 (define @t794 () (@list @t793 @t786 @t789)) % 1.13/1.32 (define @t795 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t787 @t377)) % 1.13/1.32 (define @t796 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t377 @t787)) % 1.13/1.32 (define @t797 () (@list @t787 @t377)) % 1.13/1.32 (define @t798 () (@var "V_z_H" $$unsorted)) % 1.13/1.32 (define @t799 () (@var "V_w_H" $$unsorted)) % 1.13/1.32 (define @t800 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t437 @t435)) % 1.13/1.32 (define @t801 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t437 @t435)) % 1.13/1.32 (define @t802 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t377)) % 1.13/1.32 (define @t803 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t787 @t377)) % 1.13/1.32 (define @t804 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t377 @t787)) % 1.13/1.32 (define @t805 () (tptp.hAPP @t718 @t377)) % 1.13/1.32 (define @t806 () (tptp.hAPP @t805 @t787)) % 1.13/1.32 (define @t807 () (tptp.c_Polynomial_Opos__poly @t12 @t84)) % 1.13/1.32 (define @t808 () (tptp.c_Polynomial_Opos__poly @t12 @t42)) % 1.13/1.32 (define @t809 () (@var "V_ya" $$unsorted)) % 1.13/1.32 (define @t810 () (tptp.hAPP @t205 @t809)) % 1.13/1.32 (define @t811 () (tptp.hAPP @t199 @t809)) % 1.13/1.32 (define @t812 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t39 @t198)) % 1.13/1.32 (define @t813 () (@list @t809 @t198 @t39 @t12)) % 1.13/1.32 (define @t814 () (@var "V_a_H" $$unsorted)) % 1.13/1.32 (define @t815 () (tptp.hAPP @t155 @t814)) % 1.13/1.32 (define @t816 () (tptp.hAPP @t815 @t187)) % 1.13/1.32 (define @t817 () (@list @t187 @t814 @t62 @t12)) % 1.13/1.32 (define @t818 () (@var "V_xa" $$unsorted)) % 1.13/1.32 (define @t819 () (tptp.hAPP @t155 @t818)) % 1.13/1.32 (define @t820 () (tptp.hAPP @t819 @t198)) % 1.13/1.32 (define @t821 () (tptp.hAPP @t819 @t39)) % 1.13/1.32 (define @t822 () (@list @t198 @t39 @t818 @t12)) % 1.13/1.32 (define @t823 () (@var "V_b_H" $$unsorted)) % 1.13/1.32 (define @t824 () (tptp.hAPP @t156 @t823)) % 1.13/1.32 (define @t825 () (@list @t823 @t187 @t62 @t12)) % 1.13/1.32 (define @t826 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t553)) % 1.13/1.32 (define @t827 () (tptp.hAPP @t718 @t62)) % 1.13/1.32 (define @t828 () (= @t62 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t553 (tptp.hAPP @t827 @t84)))) % 1.13/1.32 (define @t829 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t771 @t62)) % 1.13/1.32 (define @t830 () (@list @t84 @t553 @t62)) % 1.13/1.32 (define @t831 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t771 @t823)) % 1.13/1.32 (define @t832 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t823)) % 1.13/1.32 (define @t833 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t718 @t823) @t766) @t764)) % 1.13/1.32 (define @t834 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t833)) % 1.13/1.32 (define @t835 () (@list @t764 @t766 @t823)) % 1.13/1.32 (define @t836 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t766 @t84)) % 1.13/1.32 (define @t837 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t823 @t187)) % 1.13/1.32 (define @t838 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t764)) % 1.13/1.32 (define @t839 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t553 @t187)) % 1.13/1.32 (define @t840 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t833 @t771)) % 1.13/1.32 (define @t841 () (tptp.hAPP @t718 @t187)) % 1.13/1.32 (define @t842 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t841 @t84) @t553)) % 1.13/1.32 (define @t843 () (= @t842 @t833)) % 1.13/1.32 (define @t844 () (@list @t764 @t766 @t823 @t553 @t84 @t187)) % 1.13/1.32 (define @t845 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t84 @t766)) % 1.13/1.32 (define @t846 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t841 @t766) @t764) @t842)) % 1.13/1.32 (define @t847 () (@list @t553 @t84 @t764 @t766 @t187)) % 1.13/1.32 (define @t848 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t39)) % 1.13/1.32 (define @t849 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t198)) % 1.13/1.32 (define @t850 () (tptp.class_Lattices_Oboolean__algebra @t12)) % 1.13/1.32 (define @t851 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t12)) % 1.13/1.32 (define @t852 () (@var "V_A_2" $$unsorted)) % 1.13/1.32 (define @t853 () (tptp.hAPP @t852 @t14)) % 1.13/1.32 (define @t854 () (tptp.tc_fun @t27 @t12)) % 1.13/1.32 (define @t855 () (@var "B_i" $$unsorted)) % 1.13/1.32 (define @t856 () (= (tptp.hAPP @t90 @t855) @t13)) % 1.13/1.32 (define @t857 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t855)) % 1.13/1.32 (define @t858 () (@list @t855)) % 1.13/1.32 (define @t859 () (@list @t42 @t32 @t12)) % 1.13/1.32 (define @t860 () (tptp.c_Polynomial_Opoly__gcd @t12 @t39 @t198)) % 1.13/1.32 (define @t861 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t860) (tptp.c_Polynomial_Odegree @t12 @t860))) % 1.13/1.32 (define @t862 () (= @t198 @t19)) % 1.13/1.32 (define @t863 () (and (= @t39 @t19) @t862)) % 1.13/1.32 (define @t864 () (not @t863)) % 1.13/1.32 (define @t865 () (tptp.hAPP @t77 @t860)) % 1.13/1.32 (define @t866 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t39)) % 1.13/1.32 (define @t867 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t198)) % 1.13/1.32 (define @t868 () (tptp.c_Polynomial_Opoly__gcd @t12 @t14 @t57)) % 1.13/1.32 (define @t869 () (tptp.c_Polynomial_Opoly__gcd @t12 @t62 (tptp.c_Polynomial_Opoly__gcd @t12 @t187 @t122))) % 1.13/1.32 (define @t870 () (tptp.c_Polynomial_Opoly__gcd @t12 @t62 @t187)) % 1.13/1.32 (define @t871 () (tptp.hAPP @t77 @t410)) % 1.13/1.32 (define @t872 () (tptp.hAPP @t77 @t318)) % 1.13/1.32 (define @t873 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t239) (tptp.c_Polynomial_Odegree @t12 @t239))) % 1.13/1.32 (define @t874 () (tptp.hAPP @t77 @t742)) % 1.13/1.32 (define @t875 () (tptp.hAPP @t77 @t239)) % 1.13/1.32 (define @t876 () (tptp.c_Polynomial_Odegree @t12 @t39)) % 1.13/1.32 (define @t877 () (tptp.c_Polynomial_Osmult @t12 (tptp.c_Rings_Oinverse__class_Oinverse @t12 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t39) @t876)) @t39)) % 1.13/1.32 (define @t878 () (tptp.c_Rings_Oinverse__class_Oinverse @t12 @t62)) % 1.13/1.32 (define @t879 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t12 @t258) (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t878))) % 1.13/1.32 (define @t880 () (tptp.class_Rings_Odivision__ring__inverse__zero @t12)) % 1.13/1.32 (define @t881 () (tptp.class_Rings_Odivision__ring @t12)) % 1.13/1.32 (define @t882 () (tptp.c_Rings_Oinverse__class_Oinverse @t12 @t187)) % 1.13/1.32 (define @t883 () (tptp.c_Rings_Oinverse__class_Oinverse @t12 @t188)) % 1.13/1.32 (define @t884 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t12 @t355) (tptp.hAPP (tptp.hAPP @t284 @t878) @t32))) % 1.13/1.32 (define @t885 () (= @t878 @t882)) % 1.13/1.32 (define @t886 () (= @t878 @t13)) % 1.13/1.32 (define @t887 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t12 @t878) @t62)) % 1.13/1.32 (define @t888 () (tptp.c_Rings_Oinverse__class_Oinverse @t12 @t34)) % 1.13/1.32 (define @t889 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t12 @t13) @t13)) % 1.13/1.32 (define @t890 () (tptp.hAPP @t155 @t878)) % 1.13/1.32 (define @t891 () (tptp.c_Groups_Oplus__class_Oplus @t12 @t878 @t882)) % 1.13/1.32 (define @t892 () (=> @t99 (= (tptp.hAPP @t890 @t62) @t153))) % 1.13/1.32 (define @t893 () (tptp.c_Polynomial_Osmult @t12 @t62 @t198)) % 1.13/1.32 (define @t894 () (tptp.class_Fields_Olinordered__field @t12)) % 1.13/1.32 (define @t895 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t14 @t13)) % 1.13/1.32 (define @t896 () (tptp.c_Rings_Oinverse__class_Oinverse @t12 @t14)) % 1.13/1.32 (define @t897 () (tptp.class_Fields_Olinordered__field__inverse__zero @t12)) % 1.13/1.32 (define @t898 () (tptp.class_Fields_Ofield__inverse__zero @t12)) % 1.13/1.32 (define @t899 () (tptp.c_Orderings_Oord__class_Oless @t12 @t878 @t882)) % 1.13/1.32 (define @t900 () (tptp.c_Orderings_Oord__class_Oless @t12 @t878 @t13)) % 1.13/1.32 (define @t901 () (tptp.c_Orderings_Oord__class_Oless @t12 @t882 @t878)) % 1.13/1.32 (define @t902 () (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t878)) % 1.13/1.32 (define @t903 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t878 @t882)) % 1.13/1.32 (define @t904 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t882 @t878)) % 1.13/1.32 (define @t905 () (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t14)) % 1.13/1.32 (define @t906 () (tptp.c_Divides_Odiv__class_Omod @t18 @t39 @t198)) % 1.13/1.32 (define @t907 () (not @t862)) % 1.13/1.32 (define @t908 () (=> @t907 (= @t860 (tptp.c_Polynomial_Opoly__gcd @t12 @t198 @t906)))) % 1.13/1.32 (define @t909 () (@var "B_z" $$unsorted)) % 1.13/1.32 (define @t910 () (tptp.c_Divides_Odiv__class_Omod @t12 @t62 @t187)) % 1.13/1.32 (define @t911 () (tptp.c_Divides_Odiv__class_Omod @t12 @t258 @t187)) % 1.13/1.32 (define @t912 () (tptp.class_Divides_Oring__div @t12)) % 1.13/1.32 (define @t913 () (@list @t198 @t39 @t62 @t12)) % 1.13/1.32 (define @t914 () (tptp.c_Polynomial_Odegree @t12 @t198)) % 1.13/1.32 (define @t915 () (tptp.class_Divides_Osemiring__div @t12)) % 1.13/1.32 (define @t916 () (tptp.hAPP @t128 @t318)) % 1.13/1.32 (define @t917 () (tptp.hBOOL (tptp.hAPP @t916 @t61))) % 1.13/1.32 (define @t918 () (tptp.hBOOL (tptp.hAPP @t916 @t32))) % 1.13/1.32 (define @t919 () (tptp.hBOOL (tptp.hAPP @t916 (tptp.c_Divides_Odiv__class_Omod @t12 @t61 @t32)))) % 1.13/1.32 (define @t920 () (@list @t32 @t61 @t318 @t12)) % 1.13/1.32 (define @t921 () (tptp.c_Divides_Odiv__class_Omod @t12 @t62 @t122)) % 1.13/1.32 (define @t922 () (tptp.hAPP @t128 @t410)) % 1.13/1.32 (define @t923 () (tptp.c_Divides_Odiv__class_Omod @t12 @t187 @t122)) % 1.13/1.32 (define @t924 () (tptp.c_Divides_Odiv__class_Omod @t12 @t188 @t122)) % 1.13/1.32 (define @t925 () (tptp.hAPP @t155 @t921)) % 1.13/1.32 (define @t926 () (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.hAPP @t925 @t187) @t122)) % 1.13/1.32 (define @t927 () (= @t923 (tptp.c_Divides_Odiv__class_Omod @t12 @t823 @t122))) % 1.13/1.32 (define @t928 () (= @t921 (tptp.c_Divides_Odiv__class_Omod @t12 @t814 @t122))) % 1.13/1.32 (define @t929 () (@list @t823 @t187 @t814 @t122 @t62 @t12)) % 1.13/1.32 (define @t930 () (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 @t923) @t122)) % 1.13/1.32 (define @t931 () (tptp.c_Divides_Odiv__class_Omod @t12 @t597 @t122)) % 1.13/1.32 (define @t932 () (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.c_Groups_Oplus__class_Oplus @t12 @t921 @t187) @t122)) % 1.13/1.32 (define @t933 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t39 @t61)) % 1.13/1.32 (define @t934 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t62 @t187)) % 1.13/1.32 (define @t935 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t187)) % 1.13/1.32 (define @t936 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t62)) % 1.13/1.32 (define @t937 () (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t318 @t434) @t771))) % 1.13/1.32 (define @t938 () (@list @t434 @t318)) % 1.13/1.32 (define @t939 () (tptp.c_Groups_Ominus__class_Ominus @t12 @t62 @t187)) % 1.13/1.32 (define @t940 () (tptp.c_Divides_Odiv__class_Omod @t12 @t939 @t122)) % 1.13/1.32 (define @t941 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t61 @t32)) % 1.13/1.32 (define @t942 () (tptp.c_Nat_OSuc @t941)) % 1.13/1.32 (define @t943 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t358 @t32)) % 1.13/1.32 (define @t944 () (tptp.hAPP @t576 @t318)) % 1.13/1.32 (define @t945 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t61 @t32)) % 1.13/1.32 (define @t946 () (@var "V_f" $$unsorted)) % 1.13/1.32 (define @t947 () (tptp.hAPP @t576 @t946)) % 1.13/1.32 (define @t948 () (= @t942 @t32)) % 1.13/1.32 (define @t949 () (@list @t142)) % 1.13/1.32 (define @t950 () (@list @t601 @t406)) % 1.13/1.32 (define @t951 () (@list @t62 @t187)) % 1.13/1.32 (define @t952 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t61 @t32)) % 1.13/1.32 (define @t953 () (= @t941 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t952 @t32))) % 1.13/1.32 (define @t954 () (=> @t508 @t953)) % 1.13/1.32 (define @t955 () (=> @t360 (= @t941 @t61))) % 1.13/1.32 (define @t956 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t827 @t187) @t122)) % 1.13/1.32 (define @t957 () (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP @t827 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t187 @t122)) @t122)) % 1.13/1.32 (define @t958 () (@list @t61 @t32 @t318)) % 1.13/1.32 (define @t959 () (@var "V_e_2" $$unsorted)) % 1.13/1.32 (define @t960 () (tptp.c_Groups_Ominus__class_Ominus @t12 @t34 @t68)) % 1.13/1.32 (define @t961 () (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP (tptp.hAPP @t155 @t960) @t959) @t131)) % 1.13/1.32 (define @t962 () (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t176 @t959) @t601)) % 1.13/1.32 (define @t963 () (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t163 @t959) @t131)) % 1.13/1.32 (define @t964 () (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t963 @t962)) % 1.13/1.32 (define @t965 () (@list @t601 @t68 @t131 @t959 @t34 @t12)) % 1.13/1.32 (define @t966 () (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP (tptp.hAPP @t155 (tptp.c_Groups_Ominus__class_Ominus @t12 @t68 @t34)) @t959) @t601)) % 1.13/1.32 (define @t967 () (@var "V_B_2" $$unsorted)) % 1.13/1.32 (define @t968 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t358 @t32)) % 1.13/1.32 (define @t969 () (= @t960 (tptp.c_Groups_Ominus__class_Ominus @t12 @t131 @t601))) % 1.13/1.32 (define @t970 () (tptp.c_Groups_Ominus__class_Ominus @t18 @t42 @t84)) % 1.13/1.32 (define @t971 () (tptp.hBOOL (tptp.hAPP @t534 @t952))) % 1.13/1.32 (define @t972 () (tptp.hBOOL (tptp.hAPP @t534 @t61))) % 1.13/1.32 (define @t973 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t36 @t410)) % 1.13/1.32 (define @t974 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t406 @t410)) % 1.13/1.32 (define @t975 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t410 @t36)) % 1.13/1.32 (define @t976 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t410 @t406)) % 1.13/1.32 (define @t977 () (= @t952 @t25)) % 1.13/1.32 (define @t978 () (= @t963 @t962)) % 1.13/1.32 (define @t979 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t434 @t61)) % 1.13/1.32 (define @t980 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t434 @t32)) % 1.13/1.32 (define @t981 () (@list @t434 @t32 @t61)) % 1.13/1.32 (define @t982 () (= @t960 @t13)) % 1.13/1.32 (define @t983 () (tptp.c_Groups_Ominus__class_Ominus @t12 @t39 @t198)) % 1.13/1.32 (define @t984 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 @t318)) % 1.13/1.32 (define @t985 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 @t435)) % 1.13/1.32 (define @t986 () (@list @t437 @t435 @t318)) % 1.13/1.32 (define @t987 () (@var "V_j_2" $$unsorted)) % 1.13/1.32 (define @t988 () (@var "V_i_2" $$unsorted)) % 1.13/1.32 (define @t989 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t988 @t410)) % 1.13/1.32 (define @t990 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t987 @t410)) % 1.13/1.32 (define @t991 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t32 @t952) @t61)) % 1.13/1.32 (define @t992 () (@var "T_1" $$unsorted)) % 1.13/1.32 (define @t993 () (tptp.tc_Polynomial_Opoly @t992)) % 1.13/1.32 (define @t994 () (tptp.class_Groups_Ocancel__comm__monoid__add @t992)) % 1.13/1.32 (define @t995 () (@list @t992)) % 1.13/1.32 (define @t996 () (@var "T_2" $$unsorted)) % 1.13/1.32 (define @t997 () (tptp.tc_fun @t996 @t992)) % 1.13/1.32 (define @t998 () (@list @t996 @t992)) % 1.13/1.32 (define @t999 () (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.13/1.32 (define @t1000 () (tptp.class_Rings_Oidom @t992)) % 1.13/1.32 (define @t1001 () (tptp.class_Rings_Olinordered__idom @t992)) % 1.13/1.32 (define @t1002 () (tptp.class_Rings_Ocomm__semiring__0 @t992)) % 1.13/1.32 (define @t1003 () (tptp.class_Rings_Ocomm__semiring__1 @t992)) % 1.13/1.32 (define @t1004 () (tptp.class_Groups_Ocomm__monoid__add @t992)) % 1.13/1.32 (define @t1005 () (tptp.class_Fields_Ofield @t992)) % 1.13/1.32 (define @t1006 () (tptp.class_Groups_Oab__group__add @t992)) % 1.13/1.32 (define @t1007 () (tptp.class_Rings_Ocomm__ring__1 @t992)) % 1.13/1.32 (define @t1008 () (tptp.class_Rings_Ocomm__ring @t992)) % 1.13/1.32 (define @t1009 () (tptp.hBOOL (tptp.c_fequal @t14 @t57))) % 1.13/1.32 (define @t1010 () (= tptp.v_s____ @t8)) % 1.13/1.32 (define @t1011 () (= @t19 @t327)) % 1.13/1.32 (define @t1012 () (tptp.hAPP @t139 @t8)) % 1.13/1.32 (define @t1013 () (= @t8 @t1012)) % 1.13/1.32 (define @t1014 () (not @t999)) % 1.13/1.32 (define @t1015 () (or @t1014 @t1013)) % 1.13/1.32 (define @t1016 () (not @t1013)) % 1.13/1.32 (define @t1017 () (= @t8 tptp.v_s____)) % 1.13/1.32 (define @t1018 () (not @t1017)) % 1.13/1.32 (define @t1019 () (not @t140)) % 1.13/1.32 (define @t1020 () (= @t1012 @t8)) % 1.13/1.32 (define @t1021 () (not @t1020)) % 1.13/1.32 (define @t1022 () (and @t1016 @t1013)) % 1.13/1.32 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.13/1.32 (assume @p2 @t10) % 1.13/1.32 (assume @p3 (not @t11)) % 1.13/1.32 (assume @p4 (forall @t17 (=> @t16 (= (= @t13 @t14) @t15)))) % 1.13/1.32 (assume @p5 (forall (@list @t20 @t12) (=> @t21 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t12 @t19 @t20) @t19)))) % 1.13/1.32 (assume @p6 (forall (@list @t24 @t22 @t12) (=> @t21 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t12 @t22 @t24) @t19) @t23)))) % 1.13/1.32 (assume @p7 (not (= tptp.v_n @t25))) % 1.13/1.32 (assume @p8 (forall (@list @t12 @t26 @t2 @t27) (=> @t31 (=> @t30 (= (tptp.c_Polynomial_Opoly__rec @t12 @t27 @t26 @t2 @t29) @t26))))) % 1.13/1.32 (assume @p9 (forall @t33 (=> @t16 (= (tptp.c_Polynomial_Omonom @t12 @t13 @t32) @t19)))) % 1.13/1.32 (assume @p10 (forall @t38 (=> @t16 (= (= @t37 @t19) @t35)))) % 1.13/1.32 (assume @p11 (forall @t41 (=> @t21 (= (tptp.hAPP @t40 @t39) @t13)))) % 1.13/1.32 (assume @p12 (forall @t33 (=> @t16 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t19) @t32) @t13)))) % 1.13/1.32 (assume @p13 (forall @t43 (=> @t21 (= (tptp.c_Polynomial_Osmult @t12 @t13 @t42) @t19)))) % 1.13/1.32 (assume @p14 (forall @t46 (=> @t45 (= (= @t44 @t19) (or @t35 @t23))))) % 1.13/1.32 (assume @p15 (forall @t6 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p) @t3) @t47) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q) @t3) @t47)))) % 1.13/1.32 (assume @p16 (not (= tptp.v_na____ @t25))) % 1.13/1.32 (assume @p17 (forall @t6 (=> (= (tptp.hAPP @t48 @t3) @t47) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_qa____) @t3) @t47)))) % 1.13/1.32 (assume @p18 (= (tptp.hAPP @t48 tptp.v_a____) @t47)) % 1.13/1.32 (assume @p19 (forall @t54 (=> @t16 (= @t53 (forall @t52 (= (tptp.hAPP @t51 @t49) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t50) @t49))))))) % 1.13/1.32 (assume @p20 (forall @t54 (=> @t56 (= (= @t55 (tptp.c_Polynomial_Opoly @t12 @t50)) @t53)))) % 1.13/1.32 (assume @p21 (forall @t60 (=> @t16 (= (= @t59 (tptp.c_Polynomial_Ocoeff @t12 @t57)) @t58)))) % 1.13/1.32 (assume @p22 (forall @t67 (=> @t16 (and (=> @t65 (= @t64 @t62)) (=> @t66 (= @t64 @t13)))))) % 1.13/1.32 (assume @p23 (forall (@list @t68 @t36 @t34 @t12) (=> @t16 (= (= @t37 (tptp.c_Polynomial_Omonom @t12 @t68 @t36)) @t69)))) % 1.13/1.32 (assume @p24 (forall @t70 (=> @t21 (= (tptp.c_Polynomial_Osmult @t12 @t62 @t19) @t19)))) % 1.13/1.32 (assume @p25 (forall @t71 (=> @t56 (= (= @t55 @t40) @t23)))) % 1.13/1.32 (assume @p26 (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_p) tptp.v_n)) % 1.13/1.32 (assume @p27 (forall (@list @t34 @t22 @t12) (=> @t45 (= (= (tptp.hAPP @t55 @t34) @t13) (or @t23 (not (= (tptp.c_Polynomial_Oorder @t12 @t34 @t22) @t25))))))) % 1.13/1.32 (assume @p28 (not (= @t72 @t25))) % 1.13/1.32 (assume @p29 (forall @t71 (=> @t16 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t12 @t22) @t25) @t23)))) % 1.13/1.32 (assume @p30 (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_pa____) tptp.v_na____)) % 1.13/1.32 (assume @p31 (forall (@list @t22 @t34 @t12 @t26 @t2 @t27) (=> @t31 (=> @t30 (= @t75 (tptp.hAPP @t74 @t73)))))) % 1.13/1.32 (assume @p32 (forall @t70 (=> @t16 (= (tptp.c_Polynomial_Omonom @t12 @t62 @t25) @t76)))) % 1.13/1.32 (assume @p33 (forall @t83 (=> @t82 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t44) @t50)) (and (=> @t35 @t81) (=> @t80 @t79)))))) % 1.13/1.32 (assume @p34 (forall @t88 (=> @t21 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 @t87) @t39) (tptp.hAPP @t86 @t85))))) % 1.13/1.32 (assume @p35 (forall @t43 (=> @t16 (=> @t93 (not (= @t91 @t13)))))) % 1.13/1.32 (assume @p36 (forall @t71 (=> @t16 (= (= @t95 @t13) @t23)))) % 1.13/1.32 (assume @p37 (forall @t100 (=> @t45 (and (=> @t98 (= @t97 @t25)) (=> @t99 (= @t97 @t89)))))) % 1.13/1.32 (assume @p38 (forall (@list @t50 @t68 @t22 @t34 @t12) (=> @t16 (= (= @t101 (tptp.c_Polynomial_OpCons @t12 @t68 @t50)) (and @t69 @t53))))) % 1.13/1.32 (assume @p39 (forall @t107 (=> @t45 (=> (= @t91 @t106) (=> @t103 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 @t84) @t42)) (= @t42 @t84))))))) % 1.13/1.32 (assume @p40 (forall @t70 (=> @t16 (= (tptp.c_Polynomial_Odegree @t12 @t76) @t25)))) % 1.13/1.32 (assume @p41 (forall @t110 (=> @t109 (=> @t108 @t103)))) % 1.13/1.32 (assume @p42 (forall @t113 (=> @t109 (=> @t103 @t112)))) % 1.13/1.32 (assume @p43 (forall (@list @t20 @t42 @t12) (=> @t21 (= (tptp.c_Polynomial_Odegree @t12 @t114) @t89)))) % 1.13/1.32 (assume @p44 (forall @t115 (=> @t16 (= (tptp.c_Polynomial_OpCons @t12 @t13 @t19) @t19)))) % 1.13/1.32 (assume @p45 (forall @t46 (=> @t16 (= (= @t101 @t19) (and @t35 @t23))))) % 1.13/1.32 (assume @p46 (forall @t115 (=> @t16 (= (tptp.c_Polynomial_Odegree @t12 @t19) @t25)))) % 1.13/1.32 (assume @p47 (forall @t100 (=> @t16 (= (tptp.hAPP @t117 @t25) @t62)))) % 1.13/1.32 (assume @p48 (forall @t118 (=> @t82 (=> @t112 (=> @t99 @t103))))) % 1.13/1.32 (assume @p49 (forall @t113 (=> @t82 (=> @t103 (=> @t99 @t108))))) % 1.13/1.32 (assume @p50 (forall @t83 (=> @t82 (=> @t80 (= (tptp.hBOOL (tptp.hAPP @t78 (tptp.c_Polynomial_Osmult @t12 @t34 @t50))) @t79))))) % 1.13/1.32 (assume @p51 (forall @t121 (=> @t16 (=> @t99 (= @t120 @t32))))) % 1.13/1.32 (assume @p52 (forall @t124 (=> @t21 (=> (= @t123 @t116) @t92)))) % 1.13/1.32 (assume @p53 (forall (@list @t22 @t34 @t2 @t26 @t12 @t27) (=> @t31 (= @t75 (tptp.hAPP @t74 (tptp.c_If @t12 (tptp.c_fequal @t22 @t29) @t26 @t73)))))) % 1.13/1.32 (assume @p54 (forall (@list @t20 @t62 @t12) (=> @t21 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t12 @t76 @t20) @t76)))) % 1.13/1.32 (assume @p55 (forall @t125 (=> @t21 (= (tptp.c_Polynomial_Opcompose @t12 @t19 @t84) @t19)))) % 1.13/1.32 (assume @p56 (=> @t11 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t127 tptp.v_pa____) (tptp.hAPP (tptp.hAPP @t126 tptp.v_qa____) tptp.v_na____))))) % 1.13/1.32 (assume @p57 (forall @t70 (=> @t109 (tptp.hBOOL (tptp.hAPP @t129 @t13))))) % 1.13/1.32 (assume @p58 (forall @t130 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Oorder tptp.tc_Complex_Ocomplex @t62 tptp.v_pa____) tptp.v_na____))) % 1.13/1.32 (assume @p59 (forall @t70 (=> @t109 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t13) @t62)) @t98)))) % 1.13/1.32 (assume @p60 (forall @t132 (=> @t21 (= (= (tptp.c_Polynomial_Osynthetic__div @t12 @t22 @t131) @t19) (= @t94 @t25))))) % 1.13/1.32 (assume @p61 (forall @t43 (=> @t16 (and (=> @t92 (= @t134 @t25)) (=> @t93 (= @t134 @t133)))))) % 1.13/1.32 (assume @p62 @t140) % 1.13/1.32 (assume @p63 (forall @t144 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t141 tptp.v_na____) (forall (@list @t143 @t142) (=> (forall @t6 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t143) @t3) @t47) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t142) @t3) @t47))) (=> (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t143) @t141) (=> (not (= @t141 @t25)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t127 @t143) (tptp.hAPP (tptp.hAPP @t126 @t142) @t141)))))))))) % 1.13/1.32 (assume @p64 (forall @t147 (=> @t16 (and (=> @t92 (= @t145 @t25)) @t146)))) % 1.13/1.32 (assume @p65 (forall (@list @t122 @t42 @t62 @t12) (=> @t21 (= (tptp.c_Polynomial_Osynthetic__div @t12 @t116 @t122) @t150)))) % 1.13/1.32 (assume @p66 (forall @t46 (=> @t16 (= (tptp.c_Polynomial_Ocoeff @t12 @t101) @t151)))) % 1.13/1.32 (assume @p67 (= tptp.v_qa____ (tptp.hAPP @t152 tptp.v_r____))) % 1.13/1.32 (assume @p68 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t127 @t135) tptp.v_qa____))) % 1.13/1.32 (assume @p69 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t127 @t137) tptp.v_pa____))) % 1.13/1.32 (assume @p70 (not (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t127 (tptp.hAPP @t136 (tptp.c_Nat_OSuc @t72))) tptp.v_pa____)))) % 1.13/1.32 (assume @p71 (forall @t115 (=> @t154 (not (tptp.c_Orderings_Oord__class_Oless @t12 @t153 @t13))))) % 1.13/1.32 (assume @p72 (forall @t115 (=> @t154 (not (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t153 @t13))))) % 1.13/1.32 (assume @p73 (forall @t70 (=> @t158 (not (tptp.c_Orderings_Oord__class_Oless @t12 @t157 @t13))))) % 1.13/1.32 (assume @p74 (forall @t115 (=> @t154 (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t153)))) % 1.13/1.32 (assume @p75 (forall @t115 (=> @t154 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t153)))) % 1.13/1.32 (assume @p76 (forall @t70 (=> @t158 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t157)))) % 1.13/1.32 (assume @p77 (forall @t166 (=> @t165 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t164) (or (and @t162 @t161) (and @t160 @t159)))))) % 1.13/1.32 (assume @p78 (forall @t170 (=> @t169 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t34 @t168) @t167)))) % 1.13/1.32 (assume @p79 (forall @t166 (=> @t165 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t164 @t13) (or (and @t162 @t159) (and @t160 @t161)))))) % 1.13/1.32 (assume @p80 (forall @t179 (=> @t165 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t178 @t177) @t175)))) % 1.13/1.32 (assume @p81 (forall @t184 (=> @t165 (= @t183 @t175)))) % 1.13/1.32 (assume @p82 (forall @t184 (=> @t165 (=> @t174 (= @t183 @t173))))) % 1.13/1.32 (assume @p83 (forall @t184 (=> @t165 (=> @t174 (= @t186 @t185))))) % 1.13/1.32 (assume @p84 (forall @t193 (=> @t192 (=> @t191 (=> @t190 @t189))))) % 1.13/1.32 (assume @p85 (forall @t193 (=> @t197 (=> @t196 (=> @t195 @t194))))) % 1.13/1.32 (assume @p86 (forall @t204 (=> @t169 (=> @t203 (=> @t202 (=> @t201 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t200 @t39))))))) % 1.13/1.32 (assume @p87 (forall @t204 (=> @t169 (=> @t203 (=> @t202 (=> @t201 (tptp.c_Orderings_Oord__class_Oless__eq @t12 (tptp.hAPP @t205 @t39) @t39))))))) % 1.13/1.32 (assume @p88 (forall @t193 (=> @t192 (=> @t191 (=> @t207 @t206))))) % 1.13/1.32 (assume @p89 (forall @t193 (=> @t192 (=> @t191 (=> @t207 (tptp.c_Orderings_Oord__class_Oless @t12 @t209 @t13)))))) % 1.13/1.32 (assume @p90 (forall @t193 (=> @t197 (=> @t196 (=> @t211 @t210))))) % 1.13/1.32 (assume @p91 (forall @t193 (=> @t197 (=> @t196 (=> @t211 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t209 @t13)))))) % 1.13/1.32 (assume @p92 (forall @t193 (=> @t192 (=> @t189 @t212)))) % 1.13/1.32 (assume @p93 (forall @t213 (=> @t192 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t209) @t212)))) % 1.13/1.32 (assume @p94 (forall @t184 (=> @t165 (=> @t172 (= @t183 @t171))))) % 1.13/1.32 (assume @p95 (forall @t184 (=> @t165 (=> @t172 (= @t186 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t68 @t34)))))) % 1.13/1.32 (assume @p96 (forall @t193 (=> @t192 (=> @t214 (=> @t190 @t206))))) % 1.13/1.32 (assume @p97 (forall @t193 (=> @t197 (=> @t215 (=> @t195 @t210))))) % 1.13/1.32 (assume @p98 (forall @t193 (=> @t165 (=> @t214 (=> @t207 @t189))))) % 1.13/1.32 (assume @p99 (forall @t193 (=> @t216 (=> @t215 (=> @t211 @t194))))) % 1.13/1.32 (assume @p100 (forall @t222 (=> @t192 (=> @t221 (=> @t220 @t219))))) % 1.13/1.32 (assume @p101 (forall @t222 (=> @t192 @t227))) % 1.13/1.32 (assume @p102 (forall @t222 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t12) @t227))) % 1.13/1.32 (assume @p103 (forall @t222 (=> @t231 (=> @t230 (=> @t229 @t228))))) % 1.13/1.32 (assume @p104 (forall @t222 (=> @t231 @t233))) % 1.13/1.32 (assume @p105 (forall @t222 (=> (tptp.class_Rings_Oordered__comm__semiring @t12) @t233))) % 1.13/1.32 (assume @p106 (forall @t236 (=> @t165 (=> @t235 (=> @t234 @t219))))) % 1.13/1.32 (assume @p107 (forall @t236 (=> @t165 (=> @t235 (=> @t234 @t226))))) % 1.13/1.32 (assume @p108 (forall @t236 (=> @t216 (=> @t238 (=> @t237 @t228))))) % 1.13/1.32 (assume @p109 (forall @t236 (=> @t216 (=> @t238 (=> @t237 @t232))))) % 1.13/1.32 (assume @p110 (forall @t244 (=> @t192 (=> @t221 (=> @t243 (=> @t190 @t242)))))) % 1.13/1.32 (assume @p111 (forall @t244 (=> @t192 (=> @t221 (=> @t243 (=> @t196 @t242)))))) % 1.13/1.32 (assume @p112 (forall @t244 (=> @t192 (=> @t221 (=> @t245 (=> @t196 (=> @t220 @t241))))))) % 1.13/1.32 (assume @p113 (forall @t244 (=> @t192 (=> @t230 (=> @t243 (=> @t191 @t242)))))) % 1.13/1.32 (assume @p114 (forall @t244 (=> @t231 (=> @t230 (=> @t245 (=> @t196 @t246)))))) % 1.13/1.32 (assume @p115 (forall @t244 (=> @t231 (=> @t230 (=> @t245 (=> @t195 @t246)))))) % 1.13/1.32 (assume @p116 (forall @t250 (=> @t249 @t248))) % 1.13/1.32 (assume @p117 (forall @t250 (=> @t192 @t248))) % 1.13/1.32 (assume @p118 (forall @t252 (=> @t249 @t251))) % 1.13/1.32 (assume @p119 (forall @t252 (=> @t192 @t251))) % 1.13/1.32 (assume @p120 (forall @t250 (=> @t192 (=> @t228 @t253)))) % 1.13/1.32 (assume @p121 (forall @t252 (=> @t192 (=> @t232 @t253)))) % 1.13/1.32 (assume @p122 (forall @t193 (=> @t216 (=> (or (and @t196 @t195) (and @t215 @t211)) @t194)))) % 1.13/1.32 (assume @p123 (forall @t193 (=> @t197 (=> (or (and @t196 @t211) (and @t215 @t195)) @t210)))) % 1.13/1.32 (assume @p124 (forall @t193 (=> @t257 (= @t256 @t255)))) % 1.13/1.32 (assume @p125 (forall @t193 (=> @t257 (= @t256 @t260)))) % 1.13/1.32 (assume @p126 (forall @t193 (=> @t257 (= @t260 @t255)))) % 1.13/1.32 (assume @p127 (forall @t193 (=> @t257 (= (tptp.hAPP @t259 @t254) @t188)))) % 1.13/1.32 (assume @p128 (forall @t17 (=> @t265 (= (= @t264 @t153) (or @t262 (= @t14 @t261)))))) % 1.13/1.32 (assume @p129 (forall @t166 (=> @t45 (= (= (tptp.hAPP @t163 @t34) (tptp.hAPP @t176 @t68)) (or @t69 @t267))))) % 1.13/1.32 (assume @p130 (forall @t204 (=> @t169 @t273))) % 1.13/1.32 (assume @p131 (forall (@list @t32 @t61 @t12) (=> @t154 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t153 @t61) (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t153 @t32) (tptp.c_Orderings_Oord__class_Oless @t12 @t153 (tptp.hAPP (tptp.hAPP @t155 @t61) @t32))))))) % 1.13/1.32 (assume @p132 (forall @t193 (=> @t274 (=> @t230 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t254 @t258))))) % 1.13/1.32 (assume @p133 (forall @t222 (=> (tptp.class_Groups_Oab__semigroup__mult @t12) (= (tptp.hAPP (tptp.hAPP @t155 @t188) @t122) (tptp.hAPP @t156 @t217))))) % 1.13/1.32 (assume @p134 (forall @t275 (=> @t274 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t266 @t168) @t185)))) % 1.13/1.32 (assume @p135 (forall @t275 (=> @t274 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t266 @t168) @t173)))) % 1.13/1.32 (assume @p136 (forall @t166 (=> @t276 (= (= @t168 @t266) @t69)))) % 1.13/1.32 (assume @p137 (forall @t166 (=> @t274 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t168 @t68) (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t266 @t34))))) % 1.13/1.32 (assume @p138 (forall @t166 (=> @t274 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t168 @t68) (tptp.c_Orderings_Oord__class_Oless @t12 @t266 @t34))))) % 1.13/1.32 (assume @p139 (forall @t166 (=> @t276 (= (= @t168 @t68) (= @t266 @t34))))) % 1.13/1.32 (assume @p140 (forall @t166 (=> @t274 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t34 @t266) (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t68 @t168))))) % 1.13/1.32 (assume @p141 (forall @t166 (=> @t274 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t34 @t266) (tptp.c_Orderings_Oord__class_Oless @t12 @t68 @t168))))) % 1.13/1.32 (assume @p142 (forall @t166 (=> @t276 (= @t267 (= @t68 @t168))))) % 1.13/1.32 (assume @p143 (forall @t70 (=> @t278 @t277))) % 1.13/1.32 (assume @p144 (forall @t70 (=> @t279 @t277))) % 1.13/1.32 (assume @p145 (forall @t17 (=> (tptp.class_Groups_Oone @t12) (= (= @t153 @t14) @t262)))) % 1.13/1.32 (assume @p146 (forall @t70 (=> @t278 @t280))) % 1.13/1.32 (assume @p147 (forall @t70 (=> @t279 @t280))) % 1.13/1.32 (assume @p148 (forall @t70 (=> @t276 (= (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t258) @t62)))) % 1.13/1.32 (assume @p149 (forall @t170 (=> @t274 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t168) @t167)))) % 1.13/1.32 (assume @p150 (forall @t170 (=> @t274 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t168 @t13) @t281)))) % 1.13/1.32 (assume @p151 (forall @t170 (=> @t282 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t168 @t34) @t281)))) % 1.13/1.32 (assume @p152 (forall @t170 (=> @t274 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t168) @t160)))) % 1.13/1.32 (assume @p153 (forall @t170 (=> @t282 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t34 @t168) @t160)))) % 1.13/1.32 (assume @p154 (forall @t170 (=> @t274 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t168 @t13) @t162)))) % 1.13/1.32 (assume @p155 (forall @t170 (=> @t282 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t168 @t34) @t162)))) % 1.13/1.32 (assume @p156 (forall (@list @t39 @t42 @t32 @t12) (=> @t288 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 (tptp.hAPP (tptp.hAPP @t287 (tptp.c_Polynomial_Omonom @t12 @t153 @t32)) @t42)) @t39) (tptp.hAPP (tptp.hAPP @t155 @t286) @t283))))) % 1.13/1.32 (assume @p157 (forall (@list @t42 @t62 @t27) (=> (tptp.class_Groups_Oab__group__add @t27) (= (tptp.c_Groups_Ouminus__class_Ouminus @t28 (tptp.c_Polynomial_OpCons @t27 @t62 @t42)) (tptp.c_Polynomial_OpCons @t27 (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t62) (tptp.c_Groups_Ouminus__class_Ouminus @t28 @t42)))))) % 1.13/1.32 (assume @p158 (forall @t100 (=> @t290 (= (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t116) (tptp.c_Polynomial_OpCons @t12 @t258 @t289))))) % 1.13/1.32 (assume @p159 (forall (@list @t39 @t42 @t12) (=> @t291 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 @t289) @t39) (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t283))))) % 1.13/1.32 (assume @p160 (forall @t293 (=> @t290 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t289) @t32) (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t292))))) % 1.13/1.32 (assume @p161 (forall @t100 (=> @t291 (= (tptp.c_Polynomial_Osmult @t12 @t258 @t42) @t294)))) % 1.13/1.32 (assume @p162 (forall (@list @t39 @t32 @t42 @t12) (=> @t109 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 @t296) @t39) (tptp.hAPP (tptp.hAPP @t284 @t283) @t32))))) % 1.13/1.32 (assume @p163 (forall @t193 (=> @t299 (=> @t298 (or @t98 @t297))))) % 1.13/1.32 (assume @p164 (forall @t193 (=> @t299 (=> @t99 (=> @t300 (not @t298)))))) % 1.13/1.32 (assume @p165 (forall @t166 (=> (tptp.class_Rings_Oring__no__zero__divisors @t12) (= (= @t164 @t13) (or @t35 (= @t68 @t13)))))) % 1.13/1.32 (assume @p166 (forall @t70 (=> @t302 @t301))) % 1.13/1.32 (assume @p167 (forall @t70 (=> @t302 @t304))) % 1.13/1.32 (assume @p168 (forall @t115 (=> @t305 (not (= @t13 @t153))))) % 1.13/1.32 (assume @p169 (forall @t115 (=> @t305 (not (= @t153 @t13))))) % 1.13/1.32 (assume @p170 (forall @t88 (=> @t21 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 @t307) @t39) (tptp.hAPP (tptp.hAPP @t155 @t283) @t85))))) % 1.13/1.32 (assume @p171 (forall @t60 (=> @t288 (= (tptp.hBOOL (tptp.hAPP @t308 @t310)) @t309)))) % 1.13/1.32 (assume @p172 (forall @t60 (=> @t288 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t311) @t57)) @t309)))) % 1.13/1.32 (assume @p173 (forall @t41 (=> @t109 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 @t312) @t39) @t153)))) % 1.13/1.32 (assume @p174 (forall @t121 (=> @t290 (= (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t119) (tptp.c_Polynomial_Omonom @t12 @t258 @t32))))) % 1.13/1.32 (assume @p175 (forall @t193 (=> @t109 (tptp.hBOOL (tptp.hAPP @t129 @t188))))) % 1.13/1.32 (assume @p176 (forall @t193 (=> @t109 (tptp.hBOOL (tptp.hAPP @t129 @t209))))) % 1.13/1.32 (assume @p177 (forall @t222 (=> @t109 (=> @t314 @t313)))) % 1.13/1.32 (assume @p178 (forall @t250 (=> @t109 (=> @t315 @t313)))) % 1.13/1.32 (assume @p179 (forall @t244 (=> @t109 (=> @t314 (=> (tptp.hBOOL (tptp.hAPP @t316 @t239)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t218) @t240))))))) % 1.13/1.32 (assume @p180 (forall (@list @t318 @t187 @t62 @t12) (=> @t319 (=> (= @t62 (tptp.hAPP @t208 @t318)) (tptp.hBOOL (tptp.hAPP @t317 @t62)))))) % 1.13/1.32 (assume @p181 (forall @t222 (=> @t109 (=> @t320 @t315)))) % 1.13/1.32 (assume @p182 (forall @t222 (=> @t109 (=> @t320 @t321)))) % 1.13/1.32 (assume @p183 (forall @t70 (=> @t109 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t153) @t62))))) % 1.13/1.32 (assume @p184 (forall @t147 (=> @t45 (=> @t93 (and @t326 @t325))))) % 1.13/1.32 (assume @p185 (forall @t147 (=> @t45 (=> @t93 @t325)))) % 1.13/1.32 (assume @p186 (forall @t115 (=> @t109 (= @t312 @t323)))) % 1.13/1.32 (assume @p187 (forall @t170 (=> @t282 (= (= @t168 @t34) @t35)))) % 1.13/1.32 (assume @p188 (forall @t170 (=> @t276 (= (= @t168 @t13) @t35)))) % 1.13/1.32 (assume @p189 (forall @t170 (=> @t282 (= (= @t34 @t168) @t35)))) % 1.13/1.32 (assume @p190 (forall @t170 (=> @t276 (= (= @t13 @t168) (= @t13 @t34))))) % 1.13/1.33 (assume @p191 (forall @t115 (=> @t276 (= (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t13) @t13)))) % 1.13/1.33 (assume @p192 (forall @t100 (=> @t16 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t145 @t133)))) % 1.13/1.33 (assume @p193 (forall (@list @t39 @t32 @t62 @t12) (=> @t109 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 @t119) @t39) (tptp.hAPP @t156 @t286))))) % 1.13/1.33 (assume @p194 @t329) % 1.13/1.33 (assume @p195 (forall @t125 (=> @t21 (= (tptp.hAPP (tptp.hAPP @t287 @t19) @t84) @t19)))) % 1.13/1.33 (assume @p196 (forall @t331 (=> @t21 (= (tptp.c_Polynomial_Osmult @t12 @t62 @t330) (tptp.c_Polynomial_Osmult @t12 @t188 @t42))))) % 1.13/1.33 (assume @p197 (forall @t118 (=> @t21 (= (tptp.hAPP @t306 @t111) @t332)))) % 1.13/1.33 (assume @p198 (forall @t110 (=> @t21 (= (tptp.hAPP (tptp.hAPP @t287 @t96) @t84) @t332)))) % 1.13/1.33 (assume @p199 (forall @t43 (=> @t109 (= (tptp.c_Polynomial_Osmult @t12 @t153 @t42) @t42)))) % 1.13/1.33 (assume @p200 (forall @t184 (=> @t45 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t182) @t181)) @t334)))) % 1.13/1.33 (assume @p201 (forall @t179 (=> @t45 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t178) @t177)) @t334)))) % 1.13/1.33 (assume @p202 (forall @t100 (=> @t45 @t326))) % 1.13/1.33 (assume @p203 (forall @t33 (=> @t109 (and (=> @t336 (= @t335 @t153)) (=> @t337 (= @t335 @t13)))))) % 1.13/1.33 (assume @p204 (forall @t121 (=> @t109 (= (tptp.c_Polynomial_Odegree @t12 @t338) @t32)))) % 1.13/1.33 (assume @p205 (forall @t121 (=> @t109 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t338) @t32) @t153)))) % 1.13/1.33 (assume @p206 (forall @t293 (=> @t16 (=> @t341 (=> @t340 (or @t92 @t339)))))) % 1.13/1.33 (assume @p207 (forall (@list @t122 @t12) (=> @t21 (= (tptp.c_Polynomial_Osynthetic__div @t12 @t19 @t122) @t19)))) % 1.13/1.33 (assume @p208 (forall @t343 (=> @t16 (= (tptp.hAPP @t117 @t342) @t292)))) % 1.13/1.33 (assume @p209 (forall @t331 (=> @t21 (= (tptp.c_Polynomial_Osmult @t12 @t62 (tptp.c_Polynomial_OpCons @t12 @t187 @t42)) (tptp.c_Polynomial_OpCons @t12 @t188 @t96))))) % 1.13/1.33 (assume @p210 (forall @t344 (=> @t21 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 @t96) @t39) (tptp.hAPP @t156 @t283))))) % 1.13/1.33 (assume @p211 (forall @t343 (=> @t21 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t96) @t32) (tptp.hAPP @t156 @t292))))) % 1.13/1.33 (assume @p212 (forall @t100 (=> @t21 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t89)))) % 1.13/1.33 (assume @p213 (forall @t346 (=> @t21 (= (tptp.c_Polynomial_Osmult @t12 @t62 @t345) (tptp.c_Polynomial_Omonom @t12 @t188 @t32))))) % 1.13/1.33 (assume @p214 (forall @t121 (=> @t16 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t120 @t32)))) % 1.13/1.33 (assume @p215 (forall @t132 (=> @t45 (= (= (tptp.hAPP @t55 @t131) @t13) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 (tptp.c_Polynomial_OpCons @t12 @t347 @t323)) @t22)))))) % 1.13/1.33 (assume @p216 (forall (@list @t22 @t131 @t12) (=> @t45 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t77 (tptp.c_Polynomial_OpCons @t12 @t131 @t323)) @t22)) (= (tptp.hAPP @t55 @t347) @t13))))) % 1.13/1.33 (assume @p217 (forall @t147 (=> @t16 @t146))) % 1.13/1.33 (assume @p218 (forall @t293 (=> @t16 (=> @t339 @t340)))) % 1.13/1.33 (assume @p219 (forall @t293 (=> @t16 (=> (not @t340) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t32 @t89))))) % 1.13/1.33 (assume @p220 (forall @t121 (=> @t16 (= (tptp.c_Polynomial_Omonom @t12 @t62 @t342) (tptp.c_Polynomial_OpCons @t12 @t13 @t119))))) % 1.13/1.33 (assume @p221 (forall @t70 (=> @t109 (tptp.hBOOL (tptp.hAPP @t129 @t62))))) % 1.13/1.33 (assume @p222 (forall @t222 (=> @t109 (=> @t314 (=> @t321 @t315))))) % 1.13/1.33 (assume @p223 (forall @t107 (=> @t45 (=> @t103 (=> @t348 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t104)))))) % 1.13/1.33 (assume @p224 (forall @t147 (=> @t45 (=> @t93 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t322 @t89))))) % 1.13/1.33 (assume @p225 (not (forall (@list @t349) (not (= tptp.v_pa____ (tptp.hAPP @t139 @t349)))))) % 1.13/1.33 (assume @p226 (not (forall (@list @t350) (not (= tptp.v_qa____ (tptp.hAPP @t152 @t350)))))) % 1.13/1.33 (assume @p227 (forall @t351 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t342))) % 1.13/1.33 (assume @p228 (forall @t346 (=> @t154 (=> @t221 (=> @t196 (=> @t357 @t356)))))) % 1.13/1.33 (assume @p229 (forall @t351 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t32))) % 1.13/1.33 (assume @p230 (forall @t351 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t342))) % 1.13/1.33 (assume @p231 (forall @t361 (=> @t360 @t359))) % 1.13/1.33 (assume @p232 (forall @t351 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t25)))) % 1.13/1.33 (assume @p233 (forall (@list @t318) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 @t362) @t318)))) % 1.13/1.33 (assume @p234 (forall @t365 (=> @t109 (=> (or @t357 (= @t39 @t153)) (tptp.hBOOL (tptp.hAPP @t364 @t286)))))) % 1.13/1.33 (assume @p235 (forall @t367 (tptp.hBOOL (tptp.hAPP @t366 @t39)))) % 1.13/1.33 (assume @p236 (forall @t361 (=> (= @t61 @t371) (or (= @t32 @t368) (= @t61 @t25))))) % 1.13/1.33 (assume @p237 (forall @t376 (=> @t375 (not (and @t374 (not @t372)))))) % 1.13/1.33 (assume @p238 (forall @t383 (=> @t375 @t382))) % 1.13/1.33 (assume @p239 (forall @t389 (=> @t388 (not (and @t387 (not @t385)))))) % 1.13/1.33 (assume @p240 (forall @t383 (=> @t375 (=> @t381 @t380)))) % 1.13/1.33 (assume @p241 (forall @t394 (=> @t388 (=> @t393 @t392)))) % 1.13/1.33 (assume @p242 (forall @t376 (=> @t375 @t395))) % 1.13/1.33 (assume @p243 (forall @t376 (=> @t375 @t272))) % 1.13/1.33 (assume @p244 (forall @t376 (=> @t375 @t372))) % 1.13/1.33 (assume @p245 (forall @t383 (=> @t372 @t382))) % 1.13/1.33 (assume @p246 (forall @t394 (=> @t397 (=> (and @t396 (not (tptp.hBOOL (tptp.hAPP @t390 @t187)))) @t392)))) % 1.13/1.33 (assume @p247 (forall @t383 (=> @t372 (=> @t381 @t379)))) % 1.13/1.33 (assume @p248 (forall @t376 (=> @t372 (=> @t374 @t271)))) % 1.13/1.33 (assume @p249 (forall @t361 (=> @t399 (=> @t398 @t65)))) % 1.13/1.33 (assume @p250 (forall @t394 (=> @t385 (=> @t393 @t391)))) % 1.13/1.33 (assume @p251 (forall @t394 (=> @t397 (=> @t396 @t391)))) % 1.13/1.33 (assume @p252 (forall @t389 (=> @t385 (=> @t400 @t388)))) % 1.13/1.33 (assume @p253 (forall @t376 (=> @t372 (or @t375 @t271)))) % 1.13/1.33 (assume @p254 (forall (@list @t14 @t57) (=> @t402 (= @t401 @t58)))) % 1.13/1.33 (assume @p255 (forall @t376 (=> @t271 @t372))) % 1.13/1.33 (assume @p256 (forall @t389 (=> @t400 (=> @t385 @t388)))) % 1.13/1.33 (assume @p257 (forall @t405 (= @t404 (and @t401 @t403)))) % 1.13/1.33 (assume @p258 (forall @t405 (= @t401 (or @t404 @t58)))) % 1.13/1.33 (assume @p259 (forall @t405 (= @t58 (and @t401 @t402)))) % 1.13/1.33 (assume @p260 (forall @t409 (= (tptp.hBOOL (tptp.hAPP @t408 @t368)) @t407))) % 1.13/1.33 (assume @p261 (forall @t418 (= (= @t417 @t415) @t413))) % 1.13/1.33 (assume @p262 (forall @t423 (= @t422 @t413))) % 1.13/1.33 (assume @p263 (forall @t427 (= (= @t426 @t25) (or @t425 @t424)))) % 1.13/1.33 (assume @p264 (forall @t428 (= (tptp.hAPP @t370 @t25) @t25))) % 1.13/1.33 (assume @p265 (forall @t351 (= (tptp.hAPP (tptp.hAPP @t369 @t25) @t32) @t25))) % 1.13/1.33 (assume @p266 (forall @t430 (=> @t279 (= (tptp.hAPP @t354 @t371) (tptp.hAPP (tptp.hAPP @t284 @t429) @t32))))) % 1.13/1.33 (assume @p267 (forall @t423 (= (= @t433 @t432) @t412))) % 1.13/1.33 (assume @p268 (forall @t70 (=> @t279 (= (tptp.hAPP @t354 @t368) @t62)))) % 1.13/1.33 (assume @p269 (forall @t442 (=> @t441 (=> @t440 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t439 (tptp.hAPP @t436 @t434)))))) % 1.13/1.33 (assume @p270 (forall @t446 (=> @t441 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t445 @t444)))) % 1.13/1.33 (assume @p271 (forall @t446 (=> @t441 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t439 @t447)))) % 1.13/1.33 (assume @p272 (forall @t428 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t61 (tptp.hAPP @t370 @t448)))) % 1.13/1.33 (assume @p273 (forall @t428 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t61 @t448))) % 1.13/1.33 (assume @p274 (forall @t454 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 @t453) @t452)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t368 @t437) @t449)))) % 1.13/1.33 (assume @p275 (forall @t427 (=> @t456 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 (tptp.hAPP @t414 @t406)) @t406)) @t455)))) % 1.13/1.33 (assume @p276 (forall @t427 (=> @t456 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 @t426) @t406)) @t455)))) % 1.13/1.33 (assume @p277 (forall @t115 (=> @t290 (= (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t19) @t19)))) % 1.13/1.33 (assume @p278 (forall @t43 (=> @t290 (= (tptp.c_Polynomial_Odegree @t12 @t289) @t89)))) % 1.13/1.33 (assume @p279 (forall @t100 (=> @t291 (= (tptp.c_Polynomial_Osmult @t12 @t62 @t289) @t294)))) % 1.13/1.33 (assume @p280 (forall (@list @t406 @t14) (= (= (tptp.hAPP @t457 @t406) @t362) (or @t425 (= @t14 @t362))))) % 1.13/1.33 (assume @p281 (forall @t351 (= (tptp.hAPP (tptp.hAPP @t450 @t362) @t32) @t362))) % 1.13/1.33 (assume @p282 (forall @t454 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t437) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t453 @t452) @t360)))) % 1.13/1.33 (assume @p283 (forall @t460 (= @t459 (or @t458 @t424)))) % 1.13/1.33 (assume @p284 (forall @t427 (= (= @t426 @t362) (and @t462 @t461)))) % 1.13/1.33 (assume @p285 (forall @t466 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 @t465) @t464)) (=> @t463 @t399)))) % 1.13/1.33 (assume @p286 (forall @t446 (=> @t467 (=> @t463 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t445 @t444))))) % 1.13/1.33 (assume @p287 (forall @t446 (=> @t467 (=> @t463 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t439 @t447))))) % 1.13/1.33 (assume @p288 (forall @t418 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t417 @t415) @t470))) % 1.13/1.33 (assume @p289 (forall @t423 (= @t471 @t470))) % 1.13/1.33 (assume @p290 (forall @t427 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t426) (and @t456 @t472)))) % 1.13/1.33 (assume @p291 (forall @t423 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t433 @t432) @t468))) % 1.13/1.33 (assume @p292 (forall @t423 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t433 @t432) @t473))) % 1.13/1.33 (assume @p293 (= @t368 @t362)) % 1.13/1.33 (assume @p294 (forall @t474 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t362 @t437) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t362 @t452)))) % 1.13/1.33 (assume @p295 (forall @t477 (=> @t476 (=> @t475 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t362 @t371))))) % 1.13/1.33 (assume @p296 (forall @t477 (=> @t476 (=> @t475 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t479))))) % 1.13/1.33 (assume @p297 (forall @t477 (=> @t476 (=> @t475 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t371))))) % 1.13/1.33 (assume @p298 (forall @t427 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t362 @t426) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t362 @t406) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t362 @t36))))) % 1.13/1.33 (assume @p299 (forall @t418 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t417 @t415) @t480))) % 1.13/1.33 (assume @p300 (forall @t423 (= @t481 @t480))) % 1.13/1.33 (assume @p301 (forall @t115 (=> @t109 (= (tptp.c_Polynomial_Odegree @t12 @t312) @t25)))) % 1.13/1.33 (assume @p302 (forall @t376 (=> (= (tptp.c_Nat_OSuc @t39) (tptp.c_Nat_OSuc @t198)) @t271))) % 1.13/1.33 (assume @p303 (forall (@list @t482 @t483) (= (= @t484 (tptp.c_Nat_OSuc @t482)) (= @t483 @t482)))) % 1.13/1.33 (assume @p304 (forall @t351 (not (= @t342 @t32)))) % 1.13/1.33 (assume @p305 (forall @t351 (not (= @t32 @t342)))) % 1.13/1.33 (assume @p306 (forall (@list @t485 @t36 @t406) (=> (=> @t468 @t487) (=> (=> @t412 @t487) (=> (=> @t488 @t487) @t487))))) % 1.13/1.33 (assume @p307 (forall (@list @t489 @t490) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t490 @t489) (not (= @t490 @t489))))) % 1.13/1.33 (assume @p308 (forall @t477 (=> @t491 @t66))) % 1.13/1.33 (assume @p309 (forall @t351 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t32)))) % 1.13/1.33 (assume @p310 (forall @t376 (=> @t272 (=> (not @t492) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t198 @t39))))) % 1.13/1.33 (assume @p311 (forall @t427 (= @t493 (or @t468 @t488)))) % 1.13/1.33 (assume @p312 (forall @t361 (=> @t449 (=> @t494 @t65)))) % 1.13/1.33 (assume @p313 (forall @t446 (=> @t441 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t435 @t318) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t437 @t318))))) % 1.13/1.33 (assume @p314 (forall @t361 (=> @t65 @t449))) % 1.13/1.33 (assume @p315 (forall @t361 (or @t449 @t494))) % 1.13/1.33 (assume @p316 (forall @t351 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t32 @t32))) % 1.13/1.33 (assume @p317 (forall @t293 (=> @t109 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t12 @t296) (tptp.hAPP @t495 @t32))))) % 1.13/1.33 (assume @p318 (forall @t107 (=> @t21 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t12 @t87) (tptp.hAPP @t495 @t104))))) % 1.13/1.33 (assume @p319 (forall @t121 (=> @t265 (=> @t99 (not (= @t355 @t13)))))) % 1.13/1.33 (assume @p320 (forall @t346 (=> @t278 (= (tptp.hAPP (tptp.hAPP @t284 @t188) @t32) (tptp.hAPP @t496 @t353))))) % 1.13/1.33 (assume @p321 (forall @t121 (=> @t279 (= @t498 @t497)))) % 1.13/1.33 (assume @p322 (forall @t33 (=> @t279 (= (tptp.hAPP (tptp.hAPP @t284 @t153) @t32) @t153)))) % 1.13/1.33 (assume @p323 (forall @t428 (not (= @t358 @t25)))) % 1.13/1.33 (assume @p324 (forall @t428 (not (= @t25 @t358)))) % 1.13/1.33 (assume @p325 (forall (@list @t499) (not (= (tptp.c_Nat_OSuc @t499) @t25)))) % 1.13/1.33 (assume @p326 (forall (@list @t500) (not (= @t25 (tptp.c_Nat_OSuc @t500))))) % 1.13/1.33 (assume @p327 (forall @t409 (= (tptp.hBOOL (tptp.hAPP @t408 @t362)) @t462))) % 1.13/1.33 (assume @p328 (forall @t351 (=> @t337 @t357))) % 1.13/1.33 (assume @p329 (forall @t361 (=> @t360 @t337))) % 1.13/1.33 (assume @p330 (forall @t502 (= @t501 @t472))) % 1.13/1.33 (assume @p331 (forall @t361 (=> @t503 (=> @t360 (not @t398))))) % 1.13/1.33 (assume @p332 (forall (@list @t32 @t198 @t39 @t12) (=> @t109 (=> @t506 (tptp.hBOOL (tptp.hAPP @t505 (tptp.hAPP @t504 @t32))))))) % 1.13/1.33 (assume @p333 (forall @t361 (=> @t359 @t360))) % 1.13/1.33 (assume @p334 (forall @t361 (=> @t507 @t360))) % 1.13/1.33 (assume @p335 (forall @t361 (=> @t509 (=> @t508 @t65)))) % 1.13/1.33 (assume @p336 (forall @t446 (=> @t467 (=> @t510 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t437) @t318))))) % 1.13/1.33 (assume @p337 (forall @t361 (=> @t360 (=> (not (= @t358 @t32)) @t507)))) % 1.13/1.33 (assume @p338 (forall @t361 (=> @t360 @t509))) % 1.13/1.33 (assume @p339 (forall @t477 (=> (not @t491) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t358) @t65)))) % 1.13/1.33 (assume @p340 (forall @t514 (=> (not @t488) @t513))) % 1.13/1.33 (assume @p341 (forall @t427 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t511 @t515) @t468))) % 1.13/1.33 (assume @p342 (forall @t427 (= @t517 @t516))) % 1.13/1.33 (assume @p343 (forall @t427 (= (not @t468) @t512))) % 1.13/1.33 (assume @p344 (forall @t502 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t36 @t25) @t424))) % 1.13/1.33 (assume @p345 (forall @t361 (=> @t518 @t449))) % 1.13/1.33 (assume @p346 (forall @t361 (=> @t519 (=> (not @t449) (= @t61 @t342))))) % 1.13/1.33 (assume @p347 (forall @t361 (=> @t449 @t519))) % 1.13/1.33 (assume @p348 (forall @t514 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t515 @t511) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t36 @t406)))) % 1.13/1.33 (assume @p349 (forall @t427 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t406 @t515) (or @t473 (= @t406 @t515))))) % 1.13/1.33 (assume @p350 (forall @t427 (= (not @t473) @t520))) % 1.13/1.33 (assume @p351 (forall @t351 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t342 @t32)))) % 1.13/1.33 (assume @p352 (forall @t361 (=> (or @t360 @t65) @t449))) % 1.13/1.33 (assume @p353 (forall @t361 (=> @t449 (=> @t66 @t360)))) % 1.13/1.33 (assume @p354 (forall @t361 (=> @t360 @t449))) % 1.13/1.33 (assume @p355 (forall @t427 (= @t473 @t516))) % 1.13/1.33 (assume @p356 (forall @t427 (= @t468 (and @t473 @t493)))) % 1.13/1.33 (assume @p357 (forall (@list @t522 @t521 @t12) (= (tptp.hAPP @t523 @t25) @t521))) % 1.13/1.33 (assume @p358 (forall (@list @t483 @t522 @t521 @t12) (= (tptp.hAPP @t523 @t484) (tptp.hAPP @t522 @t483)))) % 1.13/1.33 (assume @p359 (forall @t346 (=> @t154 (=> @t230 (=> @t196 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t355 @t353)))))) % 1.13/1.33 (assume @p360 (forall @t121 (=> @t154 (=> @t196 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t355))))) % 1.13/1.33 (assume @p361 (forall @t121 (=> @t154 (=> @t191 (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t355))))) % 1.13/1.33 (assume @p362 (forall @t121 (=> @t154 (=> @t524 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t153 @t355))))) % 1.13/1.33 (assume @p363 (forall @t38 (=> (and @t527 @t302 @t299 @t305) (= (= @t526 @t13) (and @t35 @t501))))) % 1.13/1.33 (assume @p364 (forall (@list @t36 @t406 @t34 @t12) (=> @t154 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t153 @t34) (= (= (tptp.hAPP @t525 @t406) @t526) @t412))))) % 1.13/1.33 (assume @p365 (forall @t33 (=> @t530 (= (tptp.hAPP @t528 @t342) @t13)))) % 1.13/1.33 (assume @p366 (forall @t121 (=> @t279 (= @t531 @t498)))) % 1.13/1.33 (assume @p367 (forall @t121 (=> @t527 (= @t531 @t497)))) % 1.13/1.33 (assume @p368 (forall @t70 (=> @t527 (= (tptp.hAPP @t354 @t25) @t153)))) % 1.13/1.33 (assume @p369 (forall @t427 (= @t517 (or @t425 (exists (@list @t532) (and (= @t406 (tptp.c_Nat_OSuc @t532)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t532 @t36))))))) % 1.13/1.33 (assume @p370 (forall @t502 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t36 @t362) @t424))) % 1.13/1.33 (assume @p371 (forall @t502 (= @t472 (exists @t144 (= @t36 (tptp.c_Nat_OSuc @t141)))))) % 1.13/1.33 (assume @p372 (forall (@list @t32 @t318) (=> @t535 (=> @t357 @t533)))) % 1.13/1.33 (assume @p373 (forall @t67 (=> @t109 (=> @t449 (tptp.hBOOL (tptp.hAPP @t536 @t355)))))) % 1.13/1.33 (assume @p374 (forall (@list @t61 @t32 @t198 @t39 @t12) (=> @t109 (=> @t506 (=> @t494 (tptp.hBOOL (tptp.hAPP @t505 (tptp.hAPP @t504 @t61)))))))) % 1.13/1.33 (assume @p375 (forall (@list @t61 @t187 @t32 @t62 @t12) (=> @t109 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t355) @t187)) (=> @t449 (tptp.hBOOL (tptp.hAPP @t536 @t187))))))) % 1.13/1.33 (assume @p376 (forall @t361 (=> @t518 @t360))) % 1.13/1.33 (assume @p377 (forall @t427 (=> @t473 @t513))) % 1.13/1.33 (assume @p378 (forall @t361 (=> @t360 @t518))) % 1.13/1.33 (assume @p379 (forall @t361 (=> @t449 @t509))) % 1.13/1.33 (assume @p380 (forall @t427 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t511 @t36) @t468))) % 1.13/1.33 (assume @p381 (forall @t427 (= @t517 @t473))) % 1.13/1.33 (assume @p382 (forall @t514 (= @t488 @t520))) % 1.13/1.33 (assume @p383 (forall @t537 (=> @t154 (=> @t356 (=> @t195 @t221))))) % 1.13/1.33 (assume @p384 (forall @t537 (=> @t154 (=> (= @t531 @t538) (=> @t196 (=> @t195 @t397)))))) % 1.13/1.33 (assume @p385 (forall @t537 (=> @t154 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t531 @t538) (=> @t195 @t230))))) % 1.13/1.33 (assume @p386 (forall @t121 (=> @t154 (=> @t539 (tptp.c_Orderings_Oord__class_Oless @t12 @t355 @t497))))) % 1.13/1.33 (assume @p387 (forall @t121 (=> @t154 (=> @t539 (tptp.c_Orderings_Oord__class_Oless @t12 @t153 @t497))))) % 1.13/1.33 (assume @p388 (forall @t33 (=> @t530 (and (=> @t336 (= @t540 @t153)) (=> @t337 (= @t540 @t13)))))) % 1.13/1.33 (assume @p389 (forall @t121 (=> @t154 (=> @t539 (tptp.c_Orderings_Oord__class_Oless @t12 @t153 @t531))))) % 1.13/1.33 (assume @p390 (forall @t121 (=> (tptp.class_Rings_Oring__1 @t12) (= (tptp.hAPP (tptp.hAPP @t284 @t258) @t32) (tptp.hAPP (tptp.hAPP @t155 (tptp.hAPP (tptp.hAPP @t284 @t261) @t32)) @t355))))) % 1.13/1.33 (assume @p391 (forall @t544 (=> @t154 (=> @t543 (=> @t539 (tptp.c_Orderings_Oord__class_Oless @t12 @t355 @t542)))))) % 1.13/1.33 (assume @p392 (forall @t430 (=> @t154 (=> @t539 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t429 @t355) @t360))))) % 1.13/1.33 (assume @p393 (forall @t549 (=> @t154 (=> @t548 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t547 @t546) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 @t57)))))) % 1.13/1.33 (assume @p394 (forall @t544 (=> @t154 (=> @t550 (=> @t524 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t355 @t542)))))) % 1.13/1.33 (assume @p395 (forall @t121 (=> @t154 (=> @t191 (=> @t551 (tptp.c_Orderings_Oord__class_Oless @t12 @t497 @t355)))))) % 1.13/1.33 (assume @p396 (forall @t121 (=> @t154 (=> @t191 (=> @t551 (tptp.c_Orderings_Oord__class_Oless @t12 @t531 @t153)))))) % 1.13/1.33 (assume @p397 (forall @t544 (=> @t154 (=> @t543 (=> @t191 (=> @t551 (tptp.c_Orderings_Oord__class_Oless @t12 @t542 @t355))))))) % 1.13/1.33 (assume @p398 (forall @t537 (=> @t154 (=> (= @t355 @t353) (=> @t196 (=> @t195 (=> @t357 @t397))))))) % 1.13/1.33 (assume @p399 (forall @t544 (=> @t154 (=> @t550 (=> @t196 (=> @t552 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t542 @t355))))))) % 1.13/1.33 (assume @p400 (forall @t430 (=> @t154 (=> @t539 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t429 @t355) @t449))))) % 1.13/1.33 (assume @p401 (forall @t549 (=> @t154 (=> @t548 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t547 @t546) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14 @t57)))))) % 1.13/1.33 (assume @p402 (forall @t121 (=> @t154 (=> @t539 (=> @t357 (tptp.c_Orderings_Oord__class_Oless @t12 @t153 @t355)))))) % 1.13/1.33 (assume @p403 (forall (@list @t32 @t553 @t12) (=> @t154 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t553) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t553 @t153) (tptp.c_Orderings_Oord__class_Oless__eq @t12 (tptp.hAPP (tptp.hAPP @t284 @t553) @t342) @t553)))))) % 1.13/1.33 (assume @p404 (forall @t60 (=> @t45 (= (= (tptp.hAPP (tptp.hAPP @t284 @t14) @t554) (tptp.hAPP (tptp.hAPP @t284 @t57) @t554)) (or @t58 (= @t14 @t310)))))) % 1.13/1.33 (assume @p405 (forall @t423 (=> @t469 (= @t481 @t473)))) % 1.13/1.33 (assume @p406 (forall @t423 (=> @t469 (= @t556 @t555)))) % 1.13/1.33 (assume @p407 (forall @t477 (=> @t357 (=> @t399 @t503)))) % 1.13/1.33 (assume @p408 (forall @t367 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t554) (or (= @t39 @t25) (= @t39 @t362))))) % 1.13/1.33 (assume @p409 (forall @t41 (=> @t109 (= (tptp.hAPP @t285 @t25) @t153)))) % 1.13/1.33 (assume @p410 (forall @t351 (= (tptp.hAPP (tptp.hAPP @t369 @t368) @t32) @t32))) % 1.13/1.33 (assume @p411 (forall @t427 (= (= @t368 @t426) @t557))) % 1.13/1.33 (assume @p412 (forall @t351 (= (tptp.hAPP @t478 @t368) @t32))) % 1.13/1.33 (assume @p413 (forall @t361 (= @t371 @t479))) % 1.13/1.33 (assume @p414 (forall @t427 (= (= @t426 @t368) @t557))) % 1.13/1.33 (assume @p415 (forall @t559 (= (tptp.hAPP (tptp.hAPP @t369 @t371) @t318) (tptp.hAPP @t370 @t558)))) % 1.13/1.33 (assume @p416 (forall @t193 (=> @t109 (= @t188 @t209)))) % 1.13/1.33 (assume @p417 (forall @t567 (=> @t109 (= @t566 (tptp.hAPP @t564 (tptp.hAPP @t562 @t560)))))) % 1.13/1.33 (assume @p418 (forall @t567 (=> @t109 (= @t566 (tptp.hAPP @t568 @t560))))) % 1.13/1.33 (assume @p419 (forall @t573 (=> @t109 (= @t572 (tptp.hAPP @t562 (tptp.hAPP @t570 @t563)))))) % 1.13/1.33 (assume @p420 (forall @t573 (=> @t109 (= @t572 (tptp.hAPP @t568 @t569))))) % 1.13/1.33 (assume @p421 (forall @t575 (=> @t109 (= @t574 (tptp.hAPP @t562 (tptp.hAPP @t570 @t565)))))) % 1.13/1.33 (assume @p422 (forall @t575 (=> @t109 (= @t574 (tptp.hAPP @t564 (tptp.hAPP @t571 @t560)))))) % 1.13/1.33 (assume @p423 (forall @t575 (=> @t109 (= @t574 (tptp.hAPP @t568 (tptp.hAPP @t570 @t560)))))) % 1.13/1.33 (assume @p424 (forall @t423 (= @t422 (or @t411 @t412)))) % 1.13/1.33 (assume @p425 (forall @t579 (=> @t501 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t576 (tptp.hAPP (tptp.hAPP @t578 @t34) @t36)) (tptp.hAPP (tptp.hAPP @t578 @t68) @t36))) (tptp.hBOOL (tptp.hAPP @t577 @t68)))))) % 1.13/1.33 (assume @p426 (forall @t580 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t576 (tptp.hAPP (tptp.hAPP @t578 @t62) @t32)) (tptp.hAPP (tptp.hAPP @t578 @t187) @t32))) (=> @t337 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t576 @t62) @t187)))))) % 1.13/1.33 (assume @p427 (forall @t41 (=> @t109 (= (tptp.hAPP @t285 @t368) @t39)))) % 1.13/1.33 (assume @p428 (forall @t582 (=> @t109 (= (tptp.hAPP (tptp.hAPP @t284 @t581) @t84) (tptp.hAPP @t285 (tptp.hAPP (tptp.hAPP @t369 @t42) @t84)))))) % 1.13/1.33 (assume @p429 (forall @t367 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 @t368) @t39)))) % 1.13/1.33 (assume @p430 (forall @t70 (=> @t109 @t301))) % 1.13/1.33 (assume @p431 (forall @t70 (=> @t109 @t304))) % 1.13/1.33 (assume @p432 (forall @t70 (=> @t109 @t280))) % 1.13/1.33 (assume @p433 (forall @t70 (=> @t109 @t277))) % 1.13/1.33 (assume @p434 (forall (@list @t84 @t198 @t39 @t12) (=> @t109 (= (tptp.hAPP (tptp.hAPP @t284 @t200) @t84) (tptp.hAPP @t584 (tptp.hAPP @t504 @t84)))))) % 1.13/1.33 (assume @p435 (forall @t423 (=> @t469 (= @t422 @t412)))) % 1.13/1.33 (assume @p436 (forall @t423 (=> @t469 (= @t471 @t468)))) % 1.13/1.33 (assume @p437 (forall @t460 (= @t459 (or @t424 @t458)))) % 1.13/1.33 (assume @p438 (forall @t367 (tptp.hBOOL (tptp.hAPP @t366 @t25)))) % 1.13/1.33 (assume @p439 (forall @t423 (= @t556 (or @t411 @t555)))) % 1.13/1.33 (assume @p440 (forall @t579 (=> @t501 (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 (tptp.hAPP (tptp.hAPP @t450 @t34) @t36)) (tptp.hAPP (tptp.hAPP @t450 @t68) @t36))) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 @t34) @t68)))))) % 1.13/1.33 (assume @p441 (forall @t580 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 (tptp.hAPP (tptp.hAPP @t450 @t62) @t32)) (tptp.hAPP (tptp.hAPP @t450 @t187) @t32))) (=> @t337 @t385)))) % 1.13/1.33 (assume @p442 (forall @t41 (=> @t288 (= @t585 (tptp.hAPP (tptp.hAPP @t155 @t261) @t39))))) % 1.13/1.33 (assume @p443 (forall @t588 (=> @t109 (= @t587 @t586)))) % 1.13/1.33 (assume @p444 (forall @t588 (=> @t109 (= @t586 @t587)))) % 1.13/1.33 (assume @p445 (forall @t588 (=> @t109 (= (tptp.hAPP @t584 @t39) @t587)))) % 1.13/1.33 (assume @p446 (forall @t41 (=> @t589 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t39 @t39)))) % 1.13/1.33 (assume @p447 (forall @t115 (=> @t527 (= @t284 (tptp.c_Power_Opower_Opower @t12 @t153 @t155))))) % 1.13/1.33 (assume @p448 (forall (@list @t42 @t122 @t12) (=> @t288 (= (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP (tptp.hAPP @t287 (tptp.c_Polynomial_OpCons @t12 (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t122) @t323)) @t148) (tptp.c_Polynomial_OpCons @t12 @t149 @t19)) @t42)))) % 1.13/1.33 (assume @p449 (forall @t376 (=> @t492 @t590))) % 1.13/1.33 (assume @p450 (forall @t70 (=> @t109 @t591))) % 1.13/1.33 (assume @p451 (forall @t70 (=> @t109 @t592))) % 1.13/1.33 (assume @p452 (forall @t275 (=> @t594 (= (= @t68 @t593) @t35)))) % 1.13/1.33 (assume @p453 (forall (@list @t26 @t14 @t57 @t595 @t12) (=> @t594 (= (= (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t596 @t57) (tptp.hAPP @t263 @t26)) (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t596 @t26) (tptp.hAPP @t263 @t57))) (or (= @t595 @t14) (= @t57 @t26)))))) % 1.13/1.33 (assume @p454 (forall (@list @t187 @t61 @t62 @t12) (=> @t109 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t599 (tptp.hAPP @t208 @t61)) (tptp.hAPP @t598 @t61))))) % 1.13/1.33 (assume @p455 (forall @t222 (=> @t109 @t600))) % 1.13/1.33 (assume @p456 (forall @t603 (=> @t594 (= (and (not @t69) (not @t602)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t178 (tptp.hAPP @t176 @t601)) (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t163 @t601) @t177))))))) % 1.13/1.33 (assume @p457 (forall @t604 (=> @t109 (= (tptp.hAPP @t199 (tptp.c_Groups_Oplus__class_Oplus @t12 @t198 @t377)) (tptp.c_Groups_Oplus__class_Oplus @t12 @t200 (tptp.hAPP @t199 @t377)))))) % 1.13/1.33 (assume @p458 (forall (@list @t122 @t62 @t12) (=> @t109 (= @t606 @t605)))) % 1.13/1.33 (assume @p459 (forall @t609 (=> @t109 (= @t608 (tptp.c_Groups_Oplus__class_Oplus @t12 @t122 (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 @t239)))))) % 1.13/1.33 (assume @p460 (forall @t609 (=> @t109 (= @t608 (tptp.c_Groups_Oplus__class_Oplus @t12 @t606 @t239))))) % 1.13/1.33 (assume @p461 (forall @t222 (=> @t109 @t612))) % 1.13/1.33 (assume @p462 (forall @t222 (=> @t109 (= @t611 (tptp.c_Groups_Oplus__class_Oplus @t12 @t606 @t187))))) % 1.13/1.33 (assume @p463 (forall @t244 (=> @t109 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t597 @t607) (tptp.c_Groups_Oplus__class_Oplus @t12 @t606 @t613))))) % 1.13/1.33 (assume @p464 (forall @t70 (=> @t614 @t592))) % 1.13/1.33 (assume @p465 (forall @t70 (=> @t615 @t592))) % 1.13/1.33 (assume @p466 (forall @t170 (=> @t282 (= (= @t13 @t616) @t35)))) % 1.13/1.33 (assume @p467 (forall @t70 (=> @t614 @t591))) % 1.13/1.33 (assume @p468 (forall @t70 (=> @t615 @t591))) % 1.13/1.33 (assume @p469 (forall @t252 (=> @t619 (=> @t618 @t230)))) % 1.13/1.33 (assume @p470 (forall @t250 (=> @t619 (=> @t620 @t230)))) % 1.13/1.33 (assume @p471 (forall @t244 (=> @t621 (=> @t230 (=> @t245 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t606 @t613)))))) % 1.13/1.33 (assume @p472 (forall @t222 (=> @t621 (=> @t230 @t618)))) % 1.13/1.33 (assume @p473 (forall @t222 (=> @t621 (=> @t230 @t620)))) % 1.13/1.33 (assume @p474 (forall @t184 (=> @t619 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t623 @t622) @t185)))) % 1.13/1.33 (assume @p475 (forall @t179 (=> @t619 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t625 @t624) @t185)))) % 1.13/1.33 (assume @p476 (forall @t252 (=> @t619 (=> @t626 @t221)))) % 1.13/1.33 (assume @p477 (forall @t250 (=> @t619 (=> @t627 @t221)))) % 1.13/1.33 (assume @p478 (forall @t244 (=> @t630 (=> @t221 @t629)))) % 1.13/1.33 (assume @p479 (forall @t222 (=> @t630 (=> @t221 @t626)))) % 1.13/1.33 (assume @p480 (forall @t222 (=> @t630 (=> @t221 @t627)))) % 1.13/1.33 (assume @p481 (forall @t184 (=> @t619 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t623 @t622) @t173)))) % 1.13/1.33 (assume @p482 (forall @t179 (=> @t619 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t625 @t624) @t173)))) % 1.13/1.33 (assume @p483 (forall @t222 (=> (tptp.class_Rings_Ocomm__semiring @t12) @t600))) % 1.13/1.33 (assume @p484 (forall (@list @t122 @t187 @t631 @t62 @t12) (=> (tptp.class_Rings_Osemiring @t12) (= (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t156 @t631) (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t208 @t631) @t122)) (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t598 @t631) @t122))))) % 1.13/1.33 (assume @p485 (forall @t193 (=> @t276 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t258 @t597) @t187)))) % 1.13/1.33 (assume @p486 (forall @t193 (=> @t276 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 (tptp.c_Groups_Oplus__class_Oplus @t12 @t258 @t187)) @t187)))) % 1.13/1.33 (assume @p487 (forall @t193 (=> @t276 (= @t632 (tptp.c_Groups_Oplus__class_Oplus @t12 @t254 @t258))))) % 1.13/1.33 (assume @p488 (forall @t193 (=> @t290 (= @t632 (tptp.c_Groups_Oplus__class_Oplus @t12 @t258 @t254))))) % 1.13/1.33 (assume @p489 (forall @t222 (=> @t109 (=> @t314 (=> @t315 (tptp.hBOOL (tptp.hAPP @t129 @t610))))))) % 1.13/1.33 (assume @p490 (forall @t43 (=> @t614 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t42 @t19) @t42)))) % 1.13/1.33 (assume @p491 (forall @t125 (=> @t614 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t19 @t84) @t84)))) % 1.13/1.33 (assume @p492 (forall @t222 (=> (tptp.class_Groups_Oab__semigroup__add @t12) @t612))) % 1.13/1.33 (assume @p493 (forall (@list @t131 @t68 @t34 @t12) (=> @t635 (= (= @t634 @t625) @t633)))) % 1.13/1.33 (assume @p494 (forall (@list @t131 @t34 @t68 @t12) (=> @t635 (= (= @t593 @t623) @t633)))) % 1.13/1.33 (assume @p495 (forall @t222 (=> @t635 @t636))) % 1.13/1.33 (assume @p496 (forall @t222 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t12) @t636))) % 1.13/1.33 (assume @p497 (forall @t236 (=> @t635 (=> (= @t637 @t605) @t393)))) % 1.13/1.33 (assume @p498 (forall @t537 (=> @t614 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t119 @t345) (tptp.c_Polynomial_Omonom @t12 @t597 @t32))))) % 1.13/1.33 (assume @p499 (forall @t640 (=> @t614 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t639) @t32) (tptp.c_Groups_Oplus__class_Oplus @t12 @t292 @t638))))) % 1.13/1.33 (assume @p500 (forall @t331 (=> @t21 (= (tptp.c_Polynomial_Osmult @t12 @t597 @t42) (tptp.c_Groups_Oplus__class_Oplus @t18 @t96 @t330))))) % 1.13/1.33 (assume @p501 (forall @t88 (=> @t21 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 @t639) @t39) (tptp.c_Groups_Oplus__class_Oplus @t12 @t283 @t85))))) % 1.13/1.33 (assume @p502 (forall @t642 (=> @t614 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t116 @t641) (tptp.c_Polynomial_OpCons @t12 @t597 @t639))))) % 1.13/1.33 (assume @p503 (forall @t60 (=> @t165 (= (= @t645 @t13) @t644)))) % 1.13/1.33 (assume @p504 (forall @t110 (=> @t21 (= (tptp.c_Polynomial_Osmult @t12 @t62 @t639) (tptp.c_Groups_Oplus__class_Oplus @t18 @t96 @t111))))) % 1.13/1.33 (assume @p505 (forall (@list @t553 @t84 @t42 @t12) (=> @t21 (= (tptp.hAPP (tptp.hAPP @t287 @t639) @t553) (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP @t306 @t553) (tptp.hAPP @t646 @t553)))))) % 1.13/1.33 (assume @p506 (forall @t60 (=> @t165 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t645 @t13) @t644)))) % 1.13/1.33 (assume @p507 (forall @t204 (=> @t158 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t648)))) % 1.13/1.33 (assume @p508 (forall @t60 (=> @t165 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t645) (or (not @t15) (not @t643)))))) % 1.13/1.33 (assume @p509 (forall @t204 (=> @t158 (not (tptp.c_Orderings_Oord__class_Oless @t12 @t648 @t13))))) % 1.13/1.33 (assume @p510 (forall @t193 (=> @t649 (=> @t215 (=> @t211 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t597 @t13)))))) % 1.13/1.33 (assume @p511 (forall @t651 (=> @t649 (=> @t229 (=> @t238 @t650))))) % 1.13/1.33 (assume @p512 (forall @t222 (=> @t649 (=> @t196 (=> @t652 @t650))))) % 1.13/1.33 (assume @p513 (forall @t60 (=> @t649 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t14) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t57) (= @t653 @t644)))))) % 1.13/1.33 (assume @p514 (forall @t193 (=> @t649 (=> @t196 (=> @t195 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t597)))))) % 1.13/1.33 (assume @p515 (forall @t170 (=> @t282 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t616 @t13) @t160)))) % 1.13/1.33 (assume @p516 (forall @t170 (=> @t282 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t616) @t162)))) % 1.13/1.33 (assume @p517 (forall @t193 (=> @t649 (=> @t214 @t655)))) % 1.13/1.33 (assume @p518 (forall @t193 (=> @t649 (=> @t191 @t657)))) % 1.13/1.33 (assume @p519 (forall @t170 (=> @t282 @t658))) % 1.13/1.33 (assume @p520 (forall @t170 (=> @t282 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t616) @t281)))) % 1.13/1.33 (assume @p521 (forall @t222 (=> @t154 (=> @t191 @t661)))) % 1.13/1.33 (assume @p522 (forall @t244 (=> @t630 (=> @t221 (=> @t245 @t628))))) % 1.13/1.33 (assume @p523 (forall @t244 (=> @t630 (=> @t230 @t629)))) % 1.13/1.33 (assume @p524 (forall (@list @t239 @t122 @t187 @t62 @t553 @t12) (=> @t594 (=> (not (= @t553 @t13)) (=> (and @t397 (not (= @t122 @t239))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 (tptp.hAPP @t662 @t122)) (tptp.c_Groups_Oplus__class_Oplus @t12 @t187 (tptp.hAPP @t662 @t239))))))))) % 1.13/1.33 (assume @p525 (forall @t70 (=> @t154 (tptp.c_Orderings_Oord__class_Oless @t12 @t62 @t663)))) % 1.13/1.33 (assume @p526 (forall @t193 (=> @t276 (=> (= @t597 @t13) (= @t258 @t187))))) % 1.13/1.33 (assume @p527 (forall @t70 (=> @t290 @t664))) % 1.13/1.33 (assume @p528 (forall @t70 (=> @t276 @t664))) % 1.13/1.33 (assume @p529 (forall @t166 (=> @t276 (= @t267 (= @t634 @t13))))) % 1.13/1.33 (assume @p530 (forall @t70 (=> @t276 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 @t258) @t13)))) % 1.13/1.33 (assume @p531 (forall @t60 (=> @t276 (= @t653 (= @t57 @t311))))) % 1.13/1.33 (assume @p532 (forall (@list @t61 @t62 @t12) (=> @t109 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t599 @t61) @t665)))) % 1.13/1.33 (assume @p533 (forall (@list @t62 @t61 @t12) (=> @t109 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t61 @t599) @t665)))) % 1.13/1.33 (assume @p534 (forall (@list @t61 @t12) (=> @t109 (= (tptp.c_Groups_Oplus__class_Oplus @t12 @t61 @t61) (tptp.hAPP (tptp.hAPP @t155 @t666) @t61))))) % 1.13/1.33 (assume @p535 (forall @t668 (=> @t614 (=> @t339 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t104 @t32) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t667 @t32)))))) % 1.13/1.33 (assume @p536 (forall @t107 (=> @t614 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t89 @t104) (= @t667 @t104))))) % 1.13/1.33 (assume @p537 (forall (@list @t42 @t84 @t12) (=> @t614 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t104 @t89) (= @t667 @t89))))) % 1.13/1.33 (assume @p538 (forall @t668 (=> @t614 (=> @t341 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t104 @t32) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t667 @t32)))))) % 1.13/1.33 (assume @p539 (forall (@list @t39 @t20 @t42 @t12) (=> @t21 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 @t114) @t39) (tptp.hAPP @t86 (tptp.c_Groups_Oplus__class_Oplus @t12 @t20 @t39)))))) % 1.13/1.33 (assume @p540 (forall @t193 (=> @t649 (=> @t215 @t655)))) % 1.13/1.33 (assume @p541 (forall @t193 (=> @t649 (=> @t214 (=> @t211 @t654))))) % 1.13/1.33 (assume @p542 (forall @t222 (=> @t649 (=> @t196 @t661)))) % 1.13/1.33 (assume @p543 (forall @t222 (=> @t649 (=> @t191 (=> @t652 @t659))))) % 1.13/1.33 (assume @p544 (forall @t193 (=> @t649 (=> @t196 @t657)))) % 1.13/1.33 (assume @p545 (forall @t193 (=> @t649 (=> @t191 (=> @t195 @t656))))) % 1.13/1.33 (assume @p546 (forall @t115 (=> @t154 (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t666)))) % 1.13/1.33 (assume @p547 (forall (@list @t34 @t670 @t669 @t12) (= (tptp.hAPP @t671 @t25) @t669))) % 1.13/1.33 (assume @p548 (forall (@list @t36 @t34 @t670 @t669 @t12) (= (tptp.hAPP @t671 @t515) (tptp.hAPP (tptp.hAPP @t670 @t34) (tptp.hAPP @t671 @t36))))) % 1.13/1.33 (assume @p549 (forall @t204 (=> @t674 (=> (not @t673) @t672)))) % 1.13/1.33 (assume @p550 (forall (@list @t14 @t1 @t2 @t12 @t27) (=> @t678 (=> @t677 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t675 (tptp.hAPP @t1 @t14)))))) % 1.13/1.33 (assume @p551 (forall @t681 (=> @t680 (=> @t672 (=> @t679 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t377 @t39)))))) % 1.13/1.33 (assume @p552 (forall @t682 (=> @t680 (=> @t672 (=> @t673 @t271))))) % 1.13/1.33 (assume @p553 (forall @t604 (=> @t589 (=> @t673 (=> @t683 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t39 @t377)))))) % 1.13/1.33 (assume @p554 (forall @t204 (=> @t680 (=> @t673 (=> @t672 @t271))))) % 1.13/1.33 (assume @p555 (forall @t236 (=> @t680 (=> @t238 (=> @t393 @t684))))) % 1.13/1.33 (assume @p556 (forall @t222 (=> @t686 (=> @t230 (=> @t393 @t685))))) % 1.13/1.33 (assume @p557 (forall @t222 (=> @t680 (=> @t397 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t122 @t187) @t684))))) % 1.13/1.33 (assume @p558 (forall @t222 (=> @t686 (=> @t397 (=> @t652 @t685))))) % 1.13/1.33 (assume @p559 (forall @t690 (=> @t680 (=> @t689 @t688)))) % 1.13/1.33 (assume @p560 (forall @t204 (=> @t589 (=> @t271 @t673)))) % 1.13/1.33 (assume @p561 (forall @t60 (=> @t680 (= @t58 (and @t687 @t689))))) % 1.13/1.33 (assume @p562 (forall @t204 (=> @t674 (or @t673 @t672)))) % 1.13/1.33 (assume @p563 (forall @t691 (=> @t678 (= @t677 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t5 @t4)))))) % 1.13/1.33 (assume @p564 (forall @t204 (=> @t674 (=> @t270 (=> @t272 @t268))))) % 1.13/1.33 (assume @p565 (forall @t204 (=> @t589 (=> @t269 (not @t268))))) % 1.13/1.33 (assume @p566 (forall @t681 (=> @t680 (=> @t268 @t693)))) % 1.13/1.33 (assume @p567 (forall @t604 (=> @t589 (=> @t269 @t695)))) % 1.13/1.33 (assume @p568 (forall @t236 (=> @t680 (=> @t235 (=> @t393 @t696))))) % 1.13/1.33 (assume @p569 (forall @t222 (=> @t686 (=> @t221 (=> @t393 @t697))))) % 1.13/1.33 (assume @p570 (forall @t222 (=> @t680 (=> @t397 (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t122 @t187) @t696))))) % 1.13/1.33 (assume @p571 (forall @t222 (=> @t686 (=> @t397 (=> @t660 @t697))))) % 1.13/1.33 (assume @p572 (forall @t213 (=> @t680 (=> @t235 (not @t221))))) % 1.13/1.33 (assume @p573 (forall @t193 (=> @t589 (=> @t221 (not @t235))))) % 1.13/1.33 (assume @p574 (forall @t204 (=> @t680 (=> @t269 @t395)))) % 1.13/1.33 (assume @p575 (forall @t204 (=> @t680 (=> @t269 @t272)))) % 1.13/1.33 (assume @p576 (forall @t204 (=> @t674 @t273))) % 1.13/1.33 (assume @p577 (forall @t690 (=> @t674 (=> (not @t701) @t700)))) % 1.13/1.33 (assume @p578 (forall @t204 (=> @t674 (or @t269 @t271 @t268)))) % 1.13/1.33 (assume @p579 (forall @t60 (=> @t674 (= @t699 (or @t701 @t58))))) % 1.13/1.33 (assume @p580 (forall @t60 (=> @t674 (= @t403 (or @t698 @t701))))) % 1.13/1.33 (assume @p581 (forall @t41 (=> @t589 (not (tptp.c_Orderings_Oord__class_Oless @t12 @t39 @t39))))) % 1.13/1.33 (assume @p582 (forall @t344 (=> @t21 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 @t116) @t39) (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 (tptp.hAPP @t199 @t283)))))) % 1.13/1.33 (assume @p583 (forall @t124 (=> @t21 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t123 @t116) @t19) @t92)))) % 1.13/1.33 (assume @p584 (forall (@list @t20 @t42 @t62 @t12) (=> @t21 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t12 @t116 @t20) (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.c_Polynomial_Osmult @t12 @t20 @t114) (tptp.c_Polynomial_OpCons @t12 @t62 @t114)))))) % 1.13/1.33 (assume @p585 (forall @t708 (=> (tptp.class_Rings_Olinordered__semiring__1 @t12) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t39 @t62) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t198 @t62) (=> @t707 (=> @t706 (=> @t705 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t704 @t62))))))))) % 1.13/1.33 (assume @p586 (forall @t110 (=> @t21 (= (tptp.hAPP (tptp.hAPP @t287 @t116) @t84) (tptp.c_Groups_Oplus__class_Oplus @t18 @t111 @t709))))) % 1.13/1.33 (assume @p587 (forall @t118 (=> @t21 (= (tptp.hAPP @t306 (tptp.c_Polynomial_OpCons @t12 @t62 @t84)) (tptp.c_Groups_Oplus__class_Oplus @t18 @t96 @t709))))) % 1.13/1.33 (assume @p588 (forall (@list @t553 @t84 @t122 @t42 @t12) (=> @t21 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t42 (tptp.c_Polynomial_Osmult @t12 @t122 @t84)) (tptp.c_Polynomial_OpCons @t12 @t553 @t84)) (and (= @t553 @t149) (= @t84 @t148)))))) % 1.13/1.33 (assume @p589 (forall (@list @t122 @t42 @t12) (=> @t21 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t42 (tptp.c_Polynomial_Osmult @t12 @t122 @t148)) @t150)))) % 1.13/1.33 (assume @p590 (forall @t708 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t12) (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t39 @t62) (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t198 @t62) (=> @t707 (=> @t706 (=> @t705 (tptp.c_Orderings_Oord__class_Oless @t12 @t704 @t62))))))))) % 1.13/1.33 (assume @p591 (forall @t110 (=> @t21 (= (tptp.c_Polynomial_Opcompose @t12 @t116 @t84) (tptp.c_Groups_Oplus__class_Oplus @t18 @t76 (tptp.hAPP @t646 @t87)))))) % 1.13/1.33 (assume @p592 (forall @t681 (=> @t680 (=> @t672 @t693)))) % 1.13/1.33 (assume @p593 (forall @t604 (=> @t589 (=> @t673 @t695)))) % 1.13/1.33 (assume @p594 (forall @t681 (=> @t680 (=> @t268 (=> @t679 @t692))))) % 1.13/1.33 (assume @p595 (forall @t604 (=> @t589 (=> @t269 (=> @t683 @t694))))) % 1.13/1.33 (assume @p596 (forall @t213 (=> @t680 (=> @t238 (=> @t400 @t235))))) % 1.13/1.33 (assume @p597 (forall @t193 (=> @t680 (=> @t230 (=> @t400 @t221))))) % 1.13/1.33 (assume @p598 (forall @t204 (=> @t680 (=> @t673 (or @t269 @t271))))) % 1.13/1.33 (assume @p599 (forall @t60 (=> @t674 (=> @t687 @t700)))) % 1.13/1.33 (assume @p600 (forall @t204 (=> @t589 (=> @t269 @t673)))) % 1.13/1.33 (assume @p601 (forall @t682 (=> @t674 (=> @t672 @t270)))) % 1.13/1.33 (assume @p602 (forall @t193 (=> @t680 (=> @t400 (=> @t238 @t235))))) % 1.13/1.33 (assume @p603 (forall @t193 (=> @t680 (=> @t400 (=> @t230 @t221))))) % 1.13/1.33 (assume @p604 (forall @t60 (=> @t674 (=> @t699 @t688)))) % 1.13/1.33 (assume @p605 (forall @t682 (=> @t674 (=> (not @t672) @t269)))) % 1.13/1.33 (assume @p606 (forall @t204 (=> @t674 (=> @t270 @t672)))) % 1.13/1.33 (assume @p607 (forall @t60 (=> @t680 (= @t687 (or @t698 @t58))))) % 1.13/1.33 (assume @p608 (forall @t60 (=> @t589 (= @t698 (and @t687 (not @t689)))))) % 1.13/1.33 (assume @p609 (forall @t60 (=> @t680 (= @t698 (and @t687 @t403))))) % 1.13/1.33 (assume @p610 (forall @t204 (=> @t674 (or @t673 @t268)))) % 1.13/1.33 (assume @p611 (forall @t60 (=> @t674 (= (not @t687) @t701)))) % 1.13/1.33 (assume @p612 (forall @t60 (=> @t674 (= @t699 @t689)))) % 1.13/1.33 (assume @p613 (forall (@list @t711 @t485 @t12) (=> (and @t319 @t529) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t485 (tptp.hAPP (tptp.hAPP @t155 @t711) @t3)))) (exists @t6 (and (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t128 @t711) (tptp.c_Groups_Oplus__class_Oplus @t12 @t3 @t13))) @t710)))))) % 1.13/1.33 (assume @p614 (forall @t170 (=> @t169 @t658))) % 1.13/1.33 (assume @p615 (forall @t383 (= (tptp.hAPP (tptp.hAPP @t578 @t713) @t377) (tptp.hAPP @t712 (tptp.hAPP (tptp.hAPP @t369 @t198) @t377))))) % 1.13/1.33 (assume @p616 (forall (@list @t714 @t50 @t57 @t14 @t12) (=> @t82 (= (tptp.c_Polynomial_Opdivmod__rel @t12 @t14 @t57 @t50 @t714) (and (= @t14 (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP (tptp.hAPP @t287 @t50) @t57) @t714)) (=> @t716 @t81) (=> (not @t716) (or @t715 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t12 @t714) (tptp.c_Polynomial_Odegree @t12 @t57))))))))) % 1.13/1.33 (assume @p617 (forall (@list @t131 @t717 @t14 @t601 @t34) (=> (tptp.hBOOL (tptp.hAPP @t577 @t601)) (= (tptp.hBOOL (tptp.hAPP @t577 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t14 @t717))) (tptp.hBOOL (tptp.hAPP @t577 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t14 (tptp.hAPP (tptp.hAPP @t718 @t131) @t601)) @t717))))))) % 1.13/1.33 (assume @p618 (forall (@list @t406 @t36 @t410) (= (tptp.hBOOL (tptp.hAPP @t719 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t36 @t721))) (tptp.hBOOL (tptp.hAPP @t719 @t36))))) % 1.13/1.33 (assume @p619 (forall @t383 (= (tptp.hAPP @t712 @t722) (tptp.hAPP (tptp.hAPP @t718 @t713) (tptp.hAPP @t712 @t377))))) % 1.13/1.33 (assume @p620 (forall @t466 (= (tptp.hAPP @t443 @t723) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t465 @t464)))) % 1.13/1.33 (assume @p621 (forall @t559 (= (tptp.hAPP (tptp.hAPP @t369 @t723) @t318) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t724 @t558)))) % 1.13/1.33 (assume @p622 (forall (@list @t318 @t435 @t703 @t437) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t438 @t703) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t436 @t703) @t318)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t369 @t725) @t703) @t318)))) % 1.13/1.33 (assume @p623 (forall @t351 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t32) @t32))) % 1.13/1.33 (assume @p624 (forall @t428 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t61 @t25) @t61))) % 1.13/1.33 (assume @p625 (forall @t427 (= (= @t726 @t25) (and @t425 @t424)))) % 1.13/1.33 (assume @p626 (forall @t361 (=> (= @t723 @t61) @t336))) % 1.13/1.33 (assume @p627 (forall @t361 (= @t728 @t727))) % 1.13/1.33 (assume @p628 (forall @t361 (= @t729 @t727))) % 1.13/1.33 (assume @p629 (forall @t361 (= @t729 @t728))) % 1.13/1.33 (assume @p630 (forall (@list @t435 @t437) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t725 @t437)))) % 1.13/1.33 (assume @p631 (forall (@list @t437 @t435) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t435 @t437) @t437)))) % 1.13/1.33 (assume @p632 (forall @t423 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t731 @t730) @t468))) % 1.13/1.33 (assume @p633 (forall @t733 (=> @t467 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t437 @t732)))) % 1.13/1.33 (assume @p634 (forall @t733 (=> @t467 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t437 @t734)))) % 1.13/1.33 (assume @p635 (forall @t446 (=> @t467 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t736 @t735)))) % 1.13/1.33 (assume @p636 (forall @t442 (=> @t467 (=> @t738 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t736 @t737))))) % 1.13/1.33 (assume @p637 (forall (@list @t32 @t61 @t434 @t318) (=> @t738 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t61 @t434) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t32)) @t360)))) % 1.13/1.33 (assume @p638 (forall @t446 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t725 @t318) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t437 @t318)))) % 1.13/1.33 (assume @p639 (forall (@list @t36 @t410) (= (tptp.hBOOL (tptp.hAPP @t739 @t740)) (tptp.hBOOL (tptp.hAPP @t739 @t36))))) % 1.13/1.33 (assume @p640 (forall @t477 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t32 @t723))) % 1.13/1.33 (assume @p641 (forall @t477 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t32 @t741))) % 1.13/1.33 (assume @p642 (forall @t427 (= @t473 (exists @t744 (= @t36 @t743))))) % 1.13/1.33 (assume @p643 (forall @t423 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t731 @t730) @t473))) % 1.13/1.33 (assume @p644 (forall @t733 (=> @t441 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t437 @t732)))) % 1.13/1.33 (assume @p645 (forall @t733 (=> @t441 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t437 @t734)))) % 1.13/1.33 (assume @p646 (forall @t446 (=> @t441 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t736 @t735)))) % 1.13/1.33 (assume @p647 (forall @t442 (=> @t441 (=> @t440 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t736 @t737))))) % 1.13/1.33 (assume @p648 (forall @t746 (=> @t745 @t533))) % 1.13/1.33 (assume @p649 (forall @t746 (=> @t745 @t449))) % 1.13/1.33 (assume @p650 (forall @t746 (=> @t745 (not (=> @t449 (not @t533)))))) % 1.13/1.33 (assume @p651 (forall @t383 (=> @t590 @t747))) % 1.13/1.33 (assume @p652 (forall @t748 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t377) @t747))) % 1.13/1.33 (assume @p653 (forall @t383 (=> @t492 @t749))) % 1.13/1.33 (assume @p654 (forall @t748 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t377) @t749))) % 1.13/1.33 (assume @p655 (forall @t691 (=> @t678 (= (tptp.c_Orderings_Oord__class_Oless @t676 @t2 @t1) (and @t677 (not (tptp.c_Orderings_Oord__class_Oless__eq @t676 @t1 @t2))))))) % 1.13/1.33 (assume @p656 (forall @t758 (=> @t82 (=> @t757 (=> @t756 (and @t755 @t752)))))) % 1.13/1.33 (assume @p657 (forall @t758 (=> @t82 (=> @t757 (=> @t756 @t752))))) % 1.13/1.33 (assume @p658 (forall @t758 (=> @t82 (=> @t757 (=> @t756 @t755))))) % 1.13/1.33 (assume @p659 (forall @t41 (=> @t82 (tptp.c_Polynomial_Opdivmod__rel @t12 @t39 @t19 @t19 @t39)))) % 1.13/1.33 (assume @p660 (forall @t759 (=> @t82 (tptp.c_Polynomial_Opdivmod__rel @t12 @t19 @t198 @t19 @t19)))) % 1.13/1.33 (assume @p661 (forall (@list @t714 @t50 @t14 @t12) (=> @t82 (= (tptp.c_Polynomial_Opdivmod__rel @t12 @t14 @t19 @t50 @t714) (and @t81 (= @t714 @t14)))))) % 1.13/1.33 (assume @p662 (forall (@list @t714 @t50 @t57 @t12) (=> @t82 (= (tptp.c_Polynomial_Opdivmod__rel @t12 @t19 @t57 @t50 @t714) (and @t81 @t715))))) % 1.13/1.33 (assume @p663 (forall (@list @t62 @t553 @t84 @t198 @t39 @t12) (=> @t82 (=> @t761 (tptp.c_Polynomial_Opdivmod__rel @t12 @t760 @t198 @t111 (tptp.c_Polynomial_Osmult @t12 @t62 @t553)))))) % 1.13/1.33 (assume @p664 (forall @t582 (=> @t109 (= (tptp.hAPP (tptp.hAPP @t155 @t581) @t583) (tptp.hAPP @t285 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t42 @t84)))))) % 1.13/1.33 (assume @p665 (forall @t430 (=> @t279 (= (tptp.hAPP @t354 @t723) (tptp.hAPP (tptp.hAPP @t155 @t429) @t355))))) % 1.13/1.33 (assume @p666 (forall @t427 (= (= @t362 @t726) @t762))) % 1.13/1.33 (assume @p667 (forall @t427 (= (= @t726 @t362) @t762))) % 1.13/1.33 (assume @p668 (forall @t427 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t726) (or @t456 @t472)))) % 1.13/1.33 (assume @p669 (forall @t763 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t437 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t437 @t61))))) % 1.13/1.33 (assume @p670 (forall @t763 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t437 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t61 @t437))))) % 1.13/1.33 (assume @p671 (forall @t427 (= @t468 (exists @t744 (= @t36 (tptp.c_Nat_OSuc @t743)))))) % 1.13/1.33 (assume @p672 (forall @t361 (= (tptp.hAPP (tptp.hAPP @t369 @t358) @t32) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t32 @t371)))) % 1.13/1.33 (assume @p673 (forall @t361 (= (tptp.hAPP @t370 @t342) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t61 @t371)))) % 1.13/1.33 (assume @p674 (forall @t351 (= @t342 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t368 @t32)))) % 1.13/1.33 (assume @p675 (forall @t351 (= @t342 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t32 @t368)))) % 1.13/1.33 (assume @p676 (forall (@list @t764 @t766 @t377 @t553 @t84 @t198 @t39 @t12) (=> @t82 (=> @t761 (=> (tptp.c_Polynomial_Opdivmod__rel @t12 @t84 @t377 @t766 @t764) (tptp.c_Polynomial_Opdivmod__rel @t12 @t39 (tptp.hAPP @t765 @t377) @t766 (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP @t765 @t764) @t553))))))) % 1.13/1.33 (assume @p677 (forall @t107 (=> @t21 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t768 @t767)))) % 1.13/1.33 (assume @p678 (forall @t107 (=> @t45 (=> @t93 (=> @t348 (= @t768 @t767)))))) % 1.13/1.33 (assume @p679 (forall (@list @t32 @t187 @t61 @t62 @t12) (=> @t21 (= (tptp.hAPP (tptp.hAPP @t287 @t63) @t345) (tptp.c_Polynomial_Omonom @t12 @t188 @t723))))) % 1.13/1.33 (assume @p680 (forall @t361 (=> @t772 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t32) (=> @t770 (=> @t769 @t65)))))) % 1.13/1.33 (assume @p681 (forall @t361 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t771 @t61) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t61 @t32) (not @t769))))) % 1.13/1.33 (assume @p682 (forall (@list @t32 @t377) (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t576 @t377) @t32)) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t771 @t32) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t377 @t32))))) % 1.13/1.33 (assume @p683 (forall @t775 (= @t774 (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t576 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t601)) @t717))))) % 1.13/1.33 (assume @p684 (forall @t775 (= @t774 (tptp.hBOOL (tptp.hAPP @t773 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t717)))))) % 1.13/1.33 (assume @p685 (forall @t466 (=> (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t576 (tptp.hAPP @t776 @t61)) (tptp.hAPP @t776 @t32))) (=> (not (= @t318 @t771)) @t770)))) % 1.13/1.33 (assume @p686 (forall (@list @t717 @t406 @t410) (=> (not (= @t410 @t771)) (= (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t576 @t406) @t717)) (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t576 @t721) (tptp.hAPP @t720 @t717))))))) % 1.13/1.33 (assume @p687 (forall @t107 (=> @t21 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t307) @t767) (tptp.hAPP (tptp.hAPP @t155 @t91) @t106))))) % 1.13/1.33 (assume @p688 (forall @t170 (=> @t282 (= (= @t616 @t13) @t35)))) % 1.13/1.33 (assume @p689 (forall @t71 (=> @t169 (= @t777 (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t95))))) % 1.13/1.33 (assume @p690 (forall @t46 (=> @t169 (= (tptp.c_Polynomial_Opos__poly @t12 @t101) (or @t777 (and @t23 @t281)))))) % 1.13/1.33 (assume @p691 (forall @t193 (=> @t778 (= @t255 @t256)))) % 1.13/1.33 (assume @p692 (forall @t781 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t780 @t377) @t771)))) % 1.13/1.33 (assume @p693 (forall @t782 (= (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 @t779 @t26) @t26) @t771) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t26 @t771)))) % 1.13/1.33 (assume @p694 (forall @t781 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t377) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t771 @t780)))) % 1.13/1.33 (assume @p695 (forall @t784 (= @t783 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t595 @t26)))) % 1.13/1.33 (assume @p696 (forall @t784 (= @t783 (or @t785 (= @t595 @t26))))) % 1.13/1.33 (assume @p697 (forall (@list @t786 @t789 @t787) (= (tptp.hAPP @t788 @t790) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t788 @t789) (tptp.hAPP @t788 @t786))))) % 1.13/1.33 (assume @p698 (forall @t784 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t595 @t779) @t26) @t785))) % 1.13/1.33 (assume @p699 (forall (@list @t787 @t786 @t789) (= (tptp.hAPP (tptp.hAPP @t718 @t790) @t787) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t792 @t787) (tptp.hAPP @t791 @t787))))) % 1.13/1.33 (assume @p700 (forall (@list @t377 @t787) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t787 @t377) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t787 @t779) @t377)))) % 1.13/1.33 (assume @p701 (forall @t794 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t790 @t793) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t789 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t786 @t793))))) % 1.13/1.33 (assume @p702 (forall @t383 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t39 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t198 @t377)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t198 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t39 @t377))))) % 1.13/1.33 (assume @p703 (forall @t797 (= @t796 @t795))) % 1.13/1.33 (assume @p704 (forall @t781 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t377 @t771) @t377))) % 1.13/1.33 (assume @p705 (forall @t781 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t771 @t377) @t377))) % 1.13/1.33 (assume @p706 (forall @t361 (= @t723 @t741))) % 1.13/1.33 (assume @p707 (forall @t383 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t39 @t722) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t198 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t39 @t377))))) % 1.13/1.33 (assume @p708 (forall @t559 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t723 @t318) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t61 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t32 @t318))))) % 1.13/1.33 (assume @p709 (forall @t423 (= (= @t731 @t730) @t412))) % 1.13/1.33 (assume @p710 (forall @t418 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t406 @t410) @t740) @t412))) % 1.13/1.33 (assume @p711 (forall (@list @t377 @t798 @t787 @t799) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t799 @t787) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t798 @t377) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t799 @t798) @t795))))) % 1.13/1.33 (assume @p712 (forall @t446 (=> @t800 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t318 @t437) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t318 @t435))))) % 1.13/1.33 (assume @p713 (forall @t446 (=> @t801 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t437 @t318) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t435 @t318))))) % 1.13/1.33 (assume @p714 (forall @t797 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t796) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t802 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t787))))) % 1.13/1.33 (assume @p715 (forall @t781 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t802 @t377) @t771))) % 1.13/1.33 (assume @p716 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t771) @t771)) % 1.13/1.33 (assume @p717 (forall (@list @t787) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t787 @t787))) % 1.13/1.33 (assume @p718 (forall @t781 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t802) @t377))) % 1.13/1.33 (assume @p719 (forall @t797 (or @t804 @t803))) % 1.13/1.33 (assume @p720 (forall (@list @t595 @t26) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t26 @t595) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t26 @t595) (not (= @t26 @t595)))))) % 1.13/1.33 (assume @p721 (forall @t376 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t39 @t198) @t271 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t198 @t39)))) % 1.13/1.33 (assume @p722 (forall @t446 (=> @t800 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t435 @t318) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t437 @t318))))) % 1.13/1.33 (assume @p723 (forall @t797 (=> @t804 (=> @t803 (= @t377 @t787))))) % 1.13/1.33 (assume @p724 (forall @t794 (= (tptp.hAPP (tptp.hAPP @t718 (tptp.hAPP @t792 @t786)) @t793) (tptp.hAPP @t792 (tptp.hAPP @t791 @t793))))) % 1.13/1.33 (assume @p725 (forall @t797 (= (tptp.hAPP (tptp.hAPP @t718 @t802) @t787) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t806)))) % 1.13/1.33 (assume @p726 (forall @t797 (= @t806 (tptp.hAPP @t788 @t377)))) % 1.13/1.33 (assume @p727 (forall @t781 (= (tptp.hAPP @t805 @t779) @t377))) % 1.13/1.33 (assume @p728 (forall @t781 (= (tptp.hAPP (tptp.hAPP @t718 @t779) @t377) @t377))) % 1.13/1.33 (assume @p729 (forall @t446 (=> @t801 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t771 @t318) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t776 @t437) (tptp.hAPP @t776 @t435)))))) % 1.13/1.33 (assume @p730 (forall @t427 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t771 @t406) (= (= (tptp.hAPP (tptp.hAPP @t718 @t406) @t36) @t779) (and (= @t406 @t779) (= @t36 @t779)))))) % 1.13/1.33 (assume @p731 (forall @t782 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t779 @t26) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t771 @t26)))) % 1.13/1.33 (assume @p732 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t771 @t779)) % 1.13/1.33 (assume @p733 (not (= @t771 @t779))) % 1.13/1.33 (assume @p734 (forall @t115 (=> @t169 (not (tptp.c_Polynomial_Opos__poly @t12 @t19))))) % 1.13/1.33 (assume @p735 (forall @t107 (=> @t169 (=> @t808 (=> @t807 (tptp.c_Polynomial_Opos__poly @t12 @t307)))))) % 1.13/1.33 (assume @p736 (forall @t107 (=> @t169 (=> @t808 (=> @t807 (tptp.c_Polynomial_Opos__poly @t12 @t639)))))) % 1.13/1.33 (assume @p737 (forall @t43 (=> @t169 (or @t92 @t808 (tptp.c_Polynomial_Opos__poly @t12 @t289))))) % 1.13/1.33 (assume @p738 (forall (@list @t187 @t12) (=> @t778 (= (tptp.hAPP @t303 @t187) @t13)))) % 1.13/1.33 (assume @p739 (forall @t759 (=> @t778 (= (tptp.hAPP @t303 @t198) @t13)))) % 1.13/1.33 (assume @p740 (forall @t70 (=> @t778 @t301))) % 1.13/1.33 (assume @p741 (forall @t41 (=> @t778 (= (tptp.hAPP @t199 @t13) @t13)))) % 1.13/1.33 (assume @p742 (forall @t813 (=> @t778 (= (tptp.hAPP (tptp.hAPP @t155 @t812) @t809) (tptp.c_Groups_Oplus__class_Oplus @t12 @t811 @t810))))) % 1.13/1.33 (assume @p743 (forall @t817 (=> @t778 (= (tptp.hAPP (tptp.hAPP @t155 (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 @t814)) @t187) (tptp.c_Groups_Oplus__class_Oplus @t12 @t188 @t816))))) % 1.13/1.33 (assume @p744 (forall @t822 (=> @t778 (= (tptp.hAPP @t819 @t812) (tptp.c_Groups_Oplus__class_Oplus @t12 @t821 @t820))))) % 1.13/1.33 (assume @p745 (forall @t825 (=> @t778 (= (tptp.hAPP @t156 (tptp.c_Groups_Oplus__class_Oplus @t12 @t187 @t823)) (tptp.c_Groups_Oplus__class_Oplus @t12 @t188 @t824))))) % 1.13/1.33 (assume @p746 (forall @t204 (=> @t778 (= (tptp.hAPP (tptp.hAPP @t155 @t585) @t198) (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t200))))) % 1.13/1.33 (assume @p747 (forall @t193 (=> @t778 (= @t260 @t256)))) % 1.13/1.33 (assume @p748 (forall (@list @t39 @t818 @t12) (=> @t778 (= (tptp.hAPP @t819 @t585) (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t821))))) % 1.13/1.33 (assume @p749 (forall @t830 (=> @t829 (=> @t828 (=> @t826 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t84 @t779)))))) % 1.13/1.33 (assume @p750 (forall @t830 (=> @t829 (=> @t828 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t553 @t62) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t779 @t84)))))) % 1.13/1.33 (assume @p751 (forall @t835 (=> @t834 (=> @t832 (=> @t831 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t766)))))) % 1.13/1.33 (assume @p752 (forall @t844 (=> @t843 (=> @t840 (=> @t839 (=> @t838 (=> @t831 (=> @t837 @t836)))))))) % 1.13/1.33 (assume @p753 (forall @t847 (=> @t846 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t553 @t771) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t187 @t553) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t187 @t764) @t845)))))) % 1.13/1.33 (assume @p754 (forall @t844 (=> @t843 (=> @t834 (=> @t832 (=> @t826 (=> @t831 (=> @t837 @t845)))))))) % 1.13/1.33 (assume @p755 (forall @t847 (=> @t846 (=> @t838 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764 @t187) (=> @t839 @t836)))))) % 1.13/1.33 (assume @p756 (forall @t835 (=> @t840 (=> @t838 (=> @t831 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t766 @t771)))))) % 1.13/1.33 (assume @p757 (forall (@list @t32 @t39) (=> @t848 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 (tptp.hAPP @t712 @t32))))) % 1.13/1.33 (assume @p758 (forall @t376 (=> @t848 (=> @t849 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 (tptp.hAPP (tptp.hAPP @t718 @t39) @t198)))))) % 1.13/1.33 (assume @p759 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t771)) % 1.13/1.33 (assume @p760 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t779)) % 1.13/1.33 (assume @p761 (forall @t376 (=> @t848 (=> @t849 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t39 @t198)))))) % 1.13/1.33 (assume @p762 (forall (@list @t711 @t410) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t410 @t711) (exists @t52 (= @t711 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t410 @t49)))))) % 1.13/1.33 (assume @p763 (forall @t204 (=> @t850 (=> @t673 (tptp.c_Orderings_Oord__class_Oless__eq @t12 (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t198) @t585))))) % 1.13/1.33 (assume @p764 (forall @t70 (=> @t851 (= @t157 @t62)))) % 1.13/1.33 (assume @p765 (forall @t41 (=> @t851 (= @t647 @t39)))) % 1.13/1.33 (assume @p766 (forall @t193 (=> @t851 (= (tptp.hAPP @t156 @t188) @t188)))) % 1.13/1.33 (assume @p767 (forall @t41 (=> @t850 (= (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t585) @t39)))) % 1.13/1.33 (assume @p768 (forall (@list @t14 @t852 @t27 @t12) (=> (tptp.class_Groups_Ouminus @t12) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t854 @t852) @t14) (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t853))))) % 1.13/1.33 (assume @p769 (forall @t60 (=> @t850 (= (= @t311 @t310) @t58)))) % 1.13/1.33 (assume @p770 (forall @t60 (=> @t850 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t311 @t310) @t689)))) % 1.13/1.33 (assume @p771 (forall @t859 (=> @t16 (=> (forall @t858 (=> @t857 @t856)) @t341)))) % 1.13/1.33 (assume @p772 (forall (@list @t410 @t485 @t601) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t771 @t601) (=> (forall @t6 (=> @t710 (tptp.hBOOL (tptp.hAPP @t485 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t601))))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 @t410) (forall @t6 (=> @t710 (tptp.hBOOL (tptp.hAPP @t485 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 (tptp.hAPP @t720 @t601))))))))))) % 1.13/1.33 (assume @p773 (forall @t204 (=> @t82 (and (=> @t863 (= @t861 @t13)) (=> @t864 (= @t861 @t153)))))) % 1.13/1.33 (assume @p774 (forall (@list @t36 @t485) (=> (not (tptp.hBOOL (tptp.hAPP @t485 @t25))) (=> (tptp.hBOOL @t486) (exists @t744 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t742 @t36) (forall @t858 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t855 @t742) (not (tptp.hBOOL (tptp.hAPP @t485 @t855))))) (tptp.hBOOL (tptp.hAPP @t485 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t742 @t368))))))))) % 1.13/1.33 (assume @p775 (forall @t204 (=> @t82 (tptp.hBOOL (tptp.hAPP @t865 @t39))))) % 1.13/1.33 (assume @p776 (forall @t204 (=> @t82 (tptp.hBOOL (tptp.hAPP @t865 @t198))))) % 1.13/1.33 (assume @p777 (forall @t204 (=> @t82 (= (tptp.c_Polynomial_Opoly__gcd @t12 @t866 @t198) @t860)))) % 1.13/1.33 (assume @p778 (forall @t204 (=> @t82 (= (tptp.c_Polynomial_Opoly__gcd @t12 @t39 @t867) @t860)))) % 1.13/1.33 (assume @p779 (forall @t60 (=> @t82 (= (= @t868 @t19) (and (= @t14 @t19) @t716))))) % 1.13/1.33 (assume @p780 (forall @t115 (=> @t82 (= (tptp.c_Polynomial_Opoly__gcd @t12 @t19 @t19) @t19)))) % 1.13/1.33 (assume @p781 (forall @t222 (=> @t82 (= (tptp.c_Polynomial_Opoly__gcd @t12 @t870 @t122) @t869)))) % 1.13/1.33 (assume @p782 (forall @t236 (=> @t82 (= (tptp.c_Polynomial_Opoly__gcd @t12 @t187 (tptp.c_Polynomial_Opoly__gcd @t12 @t62 @t122)) @t869)))) % 1.13/1.33 (assume @p783 (forall @t193 (=> @t82 (= @t870 (tptp.c_Polynomial_Opoly__gcd @t12 @t187 @t62))))) % 1.13/1.33 (assume @p784 (forall (@list @t57 @t14 @t410 @t12) (=> @t82 (= (tptp.hBOOL (tptp.hAPP @t871 @t868)) (and (tptp.hBOOL (tptp.hAPP @t871 @t14)) (tptp.hBOOL (tptp.hAPP @t871 @t57))))))) % 1.13/1.33 (assume @p785 (forall (@list @t198 @t39 @t318 @t12) (=> @t82 (=> (tptp.hBOOL (tptp.hAPP @t872 @t39)) (=> (tptp.hBOOL (tptp.hAPP @t872 @t198)) (tptp.hBOOL (tptp.hAPP @t872 @t860))))))) % 1.13/1.33 (assume @p786 (forall @t759 (=> @t82 (= (tptp.c_Polynomial_Opoly__gcd @t12 @t312 @t198) @t312)))) % 1.13/1.33 (assume @p787 (forall @t41 (=> @t82 (= (tptp.c_Polynomial_Opoly__gcd @t12 @t39 @t312) @t312)))) % 1.13/1.33 (assume @p788 (forall (@list @t198 @t39 @t239 @t12) (=> @t82 (=> (tptp.hBOOL (tptp.hAPP @t875 @t39)) (=> (tptp.hBOOL (tptp.hAPP @t875 @t198)) (=> (forall @t744 (=> (tptp.hBOOL (tptp.hAPP @t874 @t39)) (=> (tptp.hBOOL (tptp.hAPP @t874 @t198)) (tptp.hBOOL (tptp.hAPP @t874 @t239))))) (=> (and (=> @t863 (= @t873 @t13)) (=> @t864 (= @t873 @t153))) (= @t860 @t239)))))))) % 1.13/1.33 (assume @p789 (forall @t46 (=> @t16 (= @t101 (tptp.c_Polynomial_OAbs__poly @t12 @t151))))) % 1.13/1.33 (assume @p790 (forall @t17 (=> @t16 (= (tptp.c_Polynomial_OAbs__poly @t12 @t59) @t14)))) % 1.13/1.33 (assume @p791 (forall @t41 (=> @t82 (= (tptp.c_Polynomial_Opoly__gcd @t12 @t39 @t19) @t877)))) % 1.13/1.33 (assume @p792 (forall @t859 (=> @t16 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t32 @t89) (exists @t858 (and @t857 (not @t856))))))) % 1.13/1.33 (assume @p793 (forall @t70 (=> @t880 @t879))) % 1.13/1.33 (assume @p794 (forall @t70 (=> @t881 (=> @t99 @t879)))) % 1.13/1.33 (assume @p795 (forall @t193 (=> @t881 (=> @t99 (=> @t300 (= @t883 (tptp.hAPP (tptp.hAPP @t155 @t882) @t878))))))) % 1.13/1.33 (assume @p796 (forall @t121 (=> @t881 (=> @t99 @t884)))) % 1.13/1.33 (assume @p797 (forall @t193 (=> @t881 (=> @t885 (=> @t99 (=> @t300 @t397)))))) % 1.13/1.33 (assume @p798 (forall @t70 (=> @t881 (=> @t886 @t98)))) % 1.13/1.33 (assume @p799 (forall @t70 (=> @t881 (=> @t99 @t887)))) % 1.13/1.33 (assume @p800 (forall @t70 (=> @t881 (=> @t99 (not @t886))))) % 1.13/1.33 (assume @p801 (forall @t170 (=> @t880 (= (= @t888 @t13) @t35)))) % 1.13/1.33 (assume @p802 (forall @t115 (=> @t880 @t889))) % 1.13/1.33 (assume @p803 (forall @t121 (=> @t880 @t884))) % 1.13/1.33 (assume @p804 (forall @t193 (=> @t880 (=> @t885 @t397)))) % 1.13/1.33 (assume @p805 (forall @t166 (=> @t880 (= (= @t888 (tptp.c_Rings_Oinverse__class_Oinverse @t12 @t68)) @t69)))) % 1.13/1.33 (assume @p806 (forall @t70 (=> @t880 @t887))) % 1.13/1.33 (assume @p807 (forall @t115 (=> @t881 (= (tptp.c_Rings_Oinverse__class_Oinverse @t12 @t153) @t153)))) % 1.13/1.33 (assume @p808 (forall @t193 (=> @t881 (=> (= @t188 @t153) (= @t878 @t187))))) % 1.13/1.33 (assume @p809 (forall @t193 (=> @t881 (=> @t99 (=> @t300 (= @t891 (tptp.hAPP (tptp.hAPP @t155 (tptp.hAPP @t890 @t597)) @t882))))))) % 1.13/1.33 (assume @p810 (forall @t70 (=> @t881 (=> @t99 (= (tptp.hAPP @t156 @t878) @t153))))) % 1.13/1.33 (assume @p811 (forall @t70 (=> @t881 @t892))) % 1.13/1.33 (assume @p812 (forall (@list @t553 @t84 @t198 @t39 @t62 @t12) (=> @t82 (=> @t99 (=> @t761 (tptp.c_Polynomial_Opdivmod__rel @t12 @t39 @t893 (tptp.c_Polynomial_Osmult @t12 @t878 @t84) @t553)))))) % 1.13/1.33 (assume @p813 (forall @t70 (=> @t894 (=> @t191 (=> @t552 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t153 @t878)))))) % 1.13/1.33 (assume @p814 (forall @t17 (=> @t897 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t896 @t153) (or @t895 (tptp.c_Orderings_Oord__class_Oless @t12 @t153 @t14)))))) % 1.13/1.33 (assume @p815 (forall @t115 (=> @t898 @t889))) % 1.13/1.33 (assume @p816 (forall @t193 (=> @t898 (= @t883 (tptp.hAPP @t890 @t882))))) % 1.13/1.33 (assume @p817 (forall @t17 (=> @t898 (= (= @t896 @t153) @t262)))) % 1.13/1.33 (assume @p818 (forall @t170 (=> @t897 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t13 @t888) @t162)))) % 1.13/1.33 (assume @p819 (forall @t170 (=> @t897 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t888 @t13) @t160)))) % 1.13/1.33 (assume @p820 (forall @t193 (=> @t894 (=> @t899 (=> @t207 @t235))))) % 1.13/1.33 (assume @p821 (forall @t193 (=> @t894 (=> @t899 (=> @t191 @t235))))) % 1.13/1.33 (assume @p822 (forall @t70 (=> @t894 (=> @t900 (=> @t99 @t214))))) % 1.13/1.33 (assume @p823 (forall @t193 (=> @t894 (=> @t221 (=> @t207 @t901))))) % 1.13/1.33 (assume @p824 (forall @t193 (=> @t894 (=> @t221 (=> @t191 @t901))))) % 1.13/1.33 (assume @p825 (forall @t70 (=> @t894 (=> @t214 @t900)))) % 1.13/1.33 (assume @p826 (forall @t70 (=> @t894 (=> @t902 (=> @t99 @t191))))) % 1.13/1.33 (assume @p827 (forall @t70 (=> @t894 (=> @t191 @t902)))) % 1.13/1.33 (assume @p828 (forall @t170 (=> @t897 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t888 @t13) @t167)))) % 1.13/1.33 (assume @p829 (forall @t170 (=> @t897 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t888) @t281)))) % 1.13/1.33 (assume @p830 (forall @t193 (=> @t894 (=> @t903 (=> @t207 @t238))))) % 1.13/1.33 (assume @p831 (forall @t193 (=> @t894 (=> @t903 (=> @t191 @t238))))) % 1.13/1.33 (assume @p832 (forall @t193 (=> @t894 (=> @t230 (=> @t207 @t904))))) % 1.13/1.33 (assume @p833 (forall @t193 (=> @t894 (=> @t230 (=> @t191 @t904))))) % 1.13/1.33 (assume @p834 (forall @t17 (=> @t897 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t896 @t153) (or @t895 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t153 @t14)))))) % 1.13/1.33 (assume @p835 (forall @t193 (=> @t82 (=> @t99 (=> @t300 (= @t891 (tptp.hAPP (tptp.hAPP @t155 (tptp.hAPP @t598 @t878)) @t882))))))) % 1.13/1.33 (assume @p836 (forall @t17 (=> @t897 (= (tptp.c_Orderings_Oord__class_Oless @t12 @t153 @t896) (and @t905 (tptp.c_Orderings_Oord__class_Oless @t12 @t14 @t153)))))) % 1.13/1.33 (assume @p837 (forall @t70 (=> @t894 (=> @t191 (=> @t551 (tptp.c_Orderings_Oord__class_Oless @t12 @t153 @t878)))))) % 1.13/1.33 (assume @p838 (forall @t70 (=> @t82 @t892))) % 1.13/1.33 (assume @p839 (forall @t17 (=> @t897 (= (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t153 @t896) (and @t905 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t14 @t153)))))) % 1.13/1.33 (assume @p840 (forall @t682 (=> @t82 (and (=> @t862 (= @t860 @t877)) @t908)))) % 1.13/1.33 (assume @p841 (forall @t204 (=> @t897 (=> (forall (@list @t909) (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t13 @t909) (=> (tptp.c_Orderings_Oord__class_Oless @t12 @t909 @t153) (tptp.c_Orderings_Oord__class_Oless__eq @t12 (tptp.hAPP (tptp.hAPP @t155 @t909) @t39) @t198)))) @t673)))) % 1.13/1.33 (assume @p842 (forall @t193 (=> @t912 (= @t911 (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t910) @t187))))) % 1.13/1.33 (assume @p843 (forall (@list @t814 @t187 @t62 @t12) (=> @t912 (=> (= @t910 (tptp.c_Divides_Odiv__class_Omod @t12 @t814 @t187)) (= @t911 (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.c_Groups_Ouminus__class_Ouminus @t12 @t814) @t187)))))) % 1.13/1.33 (assume @p844 (forall @t204 (=> @t82 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t866 @t198) (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t906))))) % 1.13/1.33 (assume @p845 (forall @t204 (=> @t82 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t39 @t867) @t906)))) % 1.13/1.33 (assume @p846 (forall @t913 (=> @t82 (=> @t99 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t39 @t893) @t906))))) % 1.13/1.33 (assume @p847 (forall @t204 (=> @t82 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t876 @t914) (= @t906 @t39))))) % 1.13/1.33 (assume @p848 (forall @t913 (=> @t82 (= (tptp.c_Divides_Odiv__class_Omod @t18 @t760 @t198) (tptp.c_Polynomial_Osmult @t12 @t62 @t906))))) % 1.13/1.33 (assume @p849 (forall (@list @t553 @t84 @t198 @t39 @t12) (=> @t82 (=> @t761 (= @t906 @t553))))) % 1.13/1.33 (assume @p850 (forall @t193 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t910 @t187) @t910)))) % 1.13/1.33 (assume @p851 (forall @t920 (=> @t915 (=> @t919 (=> @t918 @t917))))) % 1.13/1.33 (assume @p852 (forall @t920 (=> @t915 (=> @t917 (=> @t918 @t919))))) % 1.13/1.33 (assume @p853 (forall @t651 (=> @t915 (=> (tptp.hBOOL (tptp.hAPP @t316 @t187)) (= (tptp.c_Divides_Odiv__class_Omod @t12 @t910 @t122) @t921))))) % 1.13/1.33 (assume @p854 (forall (@list @t406 @t36 @t410 @t12) (=> @t915 (=> (tptp.hBOOL (tptp.hAPP @t922 @t36)) (= (tptp.hBOOL (tptp.hAPP @t922 (tptp.c_Divides_Odiv__class_Omod @t12 @t406 @t36))) (tptp.hBOOL (tptp.hAPP @t922 @t406))))))) % 1.13/1.33 (assume @p855 (forall @t193 (=> @t915 (=> @t314 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t187 @t62) @t13))))) % 1.13/1.33 (assume @p856 (forall @t166 (=> @t915 (= @t333 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t68 @t34) @t13))))) % 1.13/1.33 (assume @p857 (forall @t70 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t13 @t62) @t13)))) % 1.13/1.33 (assume @p858 (forall @t70 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t62 @t13) @t62)))) % 1.13/1.33 (assume @p859 (forall @t70 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t62 @t62) @t13)))) % 1.13/1.33 (assume @p860 (forall @t70 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t62 @t153) @t13)))) % 1.13/1.33 (assume @p861 (forall @t213 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t209 @t187) @t13)))) % 1.13/1.33 (assume @p862 (forall @t193 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t188 @t187) @t13)))) % 1.13/1.33 (assume @p863 (forall @t222 (=> @t915 (= @t924 (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.hAPP @t156 @t923) @t122))))) % 1.13/1.33 (assume @p864 (forall @t222 (=> @t915 (= @t924 @t926)))) % 1.13/1.33 (assume @p865 (forall @t222 (=> @t915 (= @t924 (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.hAPP @t925 @t923) @t122))))) % 1.13/1.33 (assume @p866 (forall @t252 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t225 @t224) (tptp.hAPP @t223 @t910))))) % 1.13/1.33 (assume @p867 (forall @t250 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t218 @t217) (tptp.hAPP (tptp.hAPP @t155 @t910) @t122))))) % 1.13/1.33 (assume @p868 (forall @t250 (=> @t915 (= @t926 @t924)))) % 1.13/1.33 (assume @p869 (forall @t929 (=> @t915 (=> @t928 (=> @t927 (= @t924 (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.hAPP @t815 @t823) @t122))))))) % 1.13/1.33 (assume @p870 (forall @t193 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t597 @t187) @t910)))) % 1.13/1.33 (assume @p871 (forall @t213 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 @t637 @t187) @t910)))) % 1.13/1.33 (assume @p872 (forall @t222 (=> @t915 (= @t931 @t930)))) % 1.13/1.33 (assume @p873 (forall @t222 (=> @t915 (= @t931 @t932)))) % 1.13/1.33 (assume @p874 (forall @t222 (=> @t915 (= @t931 (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.c_Groups_Oplus__class_Oplus @t12 @t921 @t923) @t122))))) % 1.13/1.33 (assume @p875 (forall @t222 (=> @t915 (= @t930 @t931)))) % 1.13/1.33 (assume @p876 (forall @t250 (=> @t915 (= @t932 @t931)))) % 1.13/1.33 (assume @p877 (forall @t929 (=> @t915 (=> @t928 (=> @t927 (= @t931 (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.c_Groups_Oplus__class_Oplus @t12 @t814 @t823) @t122))))))) % 1.13/1.33 (assume @p878 (forall @t250 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 @t224) @t187) @t910)))) % 1.13/1.33 (assume @p879 (forall @t222 (=> @t915 (= (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.c_Groups_Oplus__class_Oplus @t12 @t62 @t217) @t187) @t910)))) % 1.13/1.33 (assume @p880 (forall @t682 (=> @t82 @t908))) % 1.13/1.33 (assume @p881 (forall @t682 (=> @t82 (=> @t907 (or (= @t906 @t19) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t12 @t906) @t914)))))) % 1.13/1.33 (assume @p882 (forall @t365 (=> @t279 (=> @t357 (= (tptp.hAPP (tptp.hAPP @t155 (tptp.hAPP @t285 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t32 @t368))) @t39) @t286))))) % 1.13/1.33 (assume @p883 (forall (@list @t57 @t14 @t2 @t12) (=> @t680 (=> (tptp.c_Orderings_Oorder_Omono tptp.tc_Nat_Onat @t12 @t363 @t2) (=> @t401 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t675 (tptp.hAPP @t2 @t57))))))) % 1.13/1.33 (assume @p884 (forall (@list @t61 @t39) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t933) @t61) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t39) @t61)))) % 1.13/1.33 (assume @p885 (forall @t389 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t936 @t935) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t934)))) % 1.13/1.33 (assume @p886 (forall @t389 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t62 @t935) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t936 @t187))))) % 1.13/1.33 (assume @p887 (forall @t938 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t318) @t434) @t771)) @t937))) % 1.13/1.33 (assume @p888 (forall @t938 (=> (not (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t318 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t434)) @t771)) @t937))) % 1.13/1.33 (assume @p889 (forall @t929 (=> @t912 (=> @t928 (=> @t927 (= @t940 (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.c_Groups_Ominus__class_Ominus @t12 @t814 @t823) @t122))))))) % 1.13/1.33 (assume @p890 (forall @t222 (=> @t912 (= @t940 (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.c_Groups_Ominus__class_Ominus @t12 @t921 @t923) @t122))))) % 1.13/1.33 (assume @p891 (forall @t222 (=> @t912 (= @t940 (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.c_Groups_Ominus__class_Ominus @t12 @t921 @t187) @t122))))) % 1.13/1.33 (assume @p892 (forall @t222 (=> @t912 (= @t940 (tptp.c_Divides_Odiv__class_Omod @t12 (tptp.c_Groups_Ominus__class_Ominus @t12 @t62 @t923) @t122))))) % 1.13/1.33 (assume @p893 (forall @t361 (= @t943 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t942 @t32)))) % 1.13/1.33 (assume @p894 (forall @t466 (=> (tptp.hBOOL (tptp.hAPP @t944 @t945)) (=> (tptp.hBOOL (tptp.hAPP @t944 @t32)) (tptp.hBOOL (tptp.hAPP @t944 @t61)))))) % 1.13/1.33 (assume @p895 (forall (@list @t32 @t61 @t946) (=> (tptp.hBOOL (tptp.hAPP @t947 @t61)) (=> (tptp.hBOOL (tptp.hAPP @t947 @t32)) (tptp.hBOOL (tptp.hAPP @t947 @t945)))))) % 1.13/1.33 (assume @p896 (forall (@list @t198 @t61 @t39) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t578 @t933) @t198) @t61) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t713 @t61)))) % 1.13/1.33 (assume @p897 (forall @t361 (and (=> @t948 (= @t943 @t25)) (=> (not @t948) (= @t943 @t942))))) % 1.13/1.33 (assume @p898 (forall @t428 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t61 @t362) @t25))) % 1.13/1.33 (assume @p899 (forall @t477 (=> @t357 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t941 @t32)))) % 1.13/1.33 (assume @p900 (forall @t950 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t406 @t601) @t25) (exists @t949 (= @t406 (tptp.hAPP (tptp.hAPP @t369 @t601) @t142)))))) % 1.13/1.33 (assume @p901 (forall @t951 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t771 @t187) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t934 @t187)))) % 1.13/1.33 (assume @p902 (forall @t951 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t187 @t771) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t187 @t934)))) % 1.13/1.33 (assume @p903 (forall @t361 (and @t955 @t954))) % 1.13/1.33 (assume @p904 (forall @t361 @t954)) % 1.13/1.33 (assume @p905 (forall @t361 @t955)) % 1.13/1.33 (assume @p906 (forall (@list @t187) (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t771 @t187) @t771))) % 1.13/1.33 (assume @p907 (forall @t130 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t62 @t62) @t771))) % 1.13/1.33 (assume @p908 (forall @t394 (= @t957 @t956))) % 1.13/1.33 (assume @p909 (forall @t394 (= @t956 @t957))) % 1.13/1.33 (assume @p910 (forall @t559 (= (tptp.hAPP (tptp.hAPP @t369 @t941) @t318) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t724 @t558)))) % 1.13/1.33 (assume @p911 (forall @t466 (= (tptp.hAPP @t443 @t941) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t465 @t464)))) % 1.13/1.33 (assume @p912 (forall @t950 (= (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t406 @t601) @t771) (exists @t949 (= @t406 (tptp.hAPP (tptp.hAPP @t718 @t601) @t142)))))) % 1.13/1.33 (assume @p913 (forall @t361 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t941 @t61))) % 1.13/1.33 (assume @p914 (forall @t477 (=> @t494 @t953))) % 1.13/1.33 (assume @p915 (forall @t376 (=> @t848 (=> @t849 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t771 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t39 @t198)))))) % 1.13/1.33 (assume @p916 (forall (@list @t318 @t61) (=> @t772 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Omod tptp.tc_Int_Oint @t61 @t318) @t61)))) % 1.13/1.33 (assume @p917 (forall @t958 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t464 @t61) @t32) @t941))) % 1.13/1.33 (assume @p918 (forall @t965 (=> @t216 (= @t964 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t961 @t601))))) % 1.13/1.33 (assume @p919 (forall @t965 (=> @t216 (= @t964 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t131 @t966))))) % 1.13/1.33 (assume @p920 (forall (@list @t14 @t967 @t852 @t27 @t12) (=> (tptp.class_Groups_Ominus @t12) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t854 @t852 @t967) @t14) (tptp.c_Groups_Ominus__class_Ominus @t12 @t853 (tptp.hAPP @t967 @t14)))))) % 1.13/1.33 (assume @p921 (forall @t361 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t61 @t342) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t61 @t368) @t32)))) % 1.13/1.33 (assume @p922 (forall @t351 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t342 @t368) @t32))) % 1.13/1.33 (assume @p923 (forall @t361 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t358 @t342) @t952))) % 1.13/1.33 (assume @p924 (forall @t559 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t968 (tptp.c_Nat_OSuc @t318)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t952 @t318)))) % 1.13/1.33 (assume @p925 (forall @t603 (=> @t290 (=> @t969 (= @t69 @t602))))) % 1.13/1.33 (assume @p926 (forall @t537 (=> @t290 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t119 @t345) (tptp.c_Polynomial_Omonom @t12 @t939 @t32))))) % 1.13/1.33 (assume @p927 (forall @t640 (=> @t290 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t12 @t970) @t32) (tptp.c_Groups_Ominus__class_Ominus @t12 @t292 @t638))))) % 1.13/1.33 (assume @p928 (forall @t331 (=> @t291 (= (tptp.c_Polynomial_Osmult @t12 @t939 @t42) (tptp.c_Groups_Ominus__class_Ominus @t18 @t96 @t330))))) % 1.13/1.33 (assume @p929 (forall @t88 (=> @t291 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t12 @t970) @t39) (tptp.c_Groups_Ominus__class_Ominus @t12 @t283 @t85))))) % 1.13/1.33 (assume @p930 (forall @t642 (=> @t290 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t116 @t641) (tptp.c_Polynomial_OpCons @t12 @t939 @t970))))) % 1.13/1.33 (assume @p931 (forall @t446 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t437 @t435) @t318) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t437 @t318) @t435)))) % 1.13/1.33 (assume @p932 (forall @t466 (=> @t972 (=> @t535 @t971)))) % 1.13/1.33 (assume @p933 (forall @t604 (=> @t288 (=> @t506 (=> (tptp.hBOOL (tptp.hAPP @t364 @t377)) (tptp.hBOOL (tptp.hAPP @t364 (tptp.c_Groups_Ominus__class_Ominus @t12 @t198 @t377)))))))) % 1.13/1.33 (assume @p934 (forall @t466 (=> @t971 (=> @t535 (=> @t494 @t972))))) % 1.13/1.33 (assume @p935 (forall @t466 (=> @t971 (=> @t972 (=> @t494 @t535))))) % 1.13/1.33 (assume @p936 (forall @t394 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t62 @t187) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t122 @t62) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t62 @t122) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t187 @t122)))))) % 1.13/1.33 (assume @p937 (forall @t423 (=> @t976 (=> @t975 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t974 @t973) @t468))))) % 1.13/1.33 (assume @p938 (forall @t477 (=> @t494 (= @t968 (tptp.c_Nat_OSuc @t952))))) % 1.13/1.33 (assume @p939 (forall @t427 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t406 @t36) @t25) @t473))) % 1.13/1.33 (assume @p940 (forall @t361 (=> @t449 @t977))) % 1.13/1.33 (assume @p941 (forall @t361 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t952 @t358))) % 1.13/1.33 (assume @p942 (forall @t514 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t36 @t406)) @t468))) % 1.13/1.33 (assume @p943 (forall @t477 (=> @t357 (=> @t503 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t952 @t61))))) % 1.13/1.33 (assume @p944 (forall @t965 (=> @t257 (= @t978 (= @t961 @t601))))) % 1.13/1.33 (assume @p945 (forall @t965 (=> @t257 (= @t978 (= @t131 @t966))))) % 1.13/1.33 (assume @p946 (forall (@list @t187 @t62 @t198 @t39 @t12) (=> @t257 (= (tptp.c_Groups_Ominus__class_Ominus @t12 @t200 @t188) (tptp.c_Groups_Oplus__class_Oplus @t12 (tptp.hAPP @t199 (tptp.c_Groups_Ominus__class_Ominus @t12 @t198 @t187)) (tptp.hAPP (tptp.hAPP @t155 (tptp.c_Groups_Ominus__class_Ominus @t12 @t39 @t62)) @t187)))))) % 1.13/1.33 (assume @p947 (forall @t166 (=> @t274 (= @t173 (tptp.c_Orderings_Oord__class_Oless @t12 @t960 @t13))))) % 1.13/1.33 (assume @p948 (forall @t166 (=> @t274 (= @t185 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t960 @t13))))) % 1.13/1.33 (assume @p949 (forall @t981 (=> @t360 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t61 @t434) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t980 @t979))))) % 1.13/1.33 (assume @p950 (forall (@list @t32 @t318 @t435) (=> @t510 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t435 @t32) @t318)))) % 1.13/1.33 (assume @p951 (forall @t361 (=> @t977 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t32 @t61) @t25) @t65)))) % 1.13/1.33 (assume @p952 (forall @t428 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t61 @t61) @t25))) % 1.13/1.33 (assume @p953 (forall @t428 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t61 @t25) @t61))) % 1.13/1.33 (assume @p954 (forall @t351 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t32) @t25))) % 1.13/1.33 (assume @p955 (forall @t603 (=> @t274 (=> @t969 (= @t173 (tptp.c_Orderings_Oord__class_Oless @t12 @t131 @t601)))))) % 1.13/1.33 (assume @p956 (forall @t70 (=> @t276 (= (tptp.c_Groups_Ominus__class_Ominus @t12 @t62 @t13) @t62)))) % 1.13/1.33 (assume @p957 (forall @t70 (=> @t276 (= (tptp.c_Groups_Ominus__class_Ominus @t12 @t62 @t62) @t13)))) % 1.13/1.33 (assume @p958 (forall @t166 (=> @t290 (= @t69 @t982)))) % 1.13/1.33 (assume @p959 (forall @t166 (=> @t276 (= @t982 @t69)))) % 1.13/1.33 (assume @p960 (forall @t825 (=> @t778 (= (tptp.hAPP @t156 (tptp.c_Groups_Ominus__class_Ominus @t12 @t187 @t823)) (tptp.c_Groups_Ominus__class_Ominus @t12 @t188 @t824))))) % 1.13/1.33 (assume @p961 (forall @t822 (=> @t778 (= (tptp.hAPP @t819 @t983) (tptp.c_Groups_Ominus__class_Ominus @t12 @t821 @t820))))) % 1.13/1.33 (assume @p962 (forall @t817 (=> @t778 (= (tptp.hAPP (tptp.hAPP @t155 (tptp.c_Groups_Ominus__class_Ominus @t12 @t62 @t814)) @t187) (tptp.c_Groups_Ominus__class_Ominus @t12 @t188 @t816))))) % 1.13/1.33 (assume @p963 (forall @t813 (=> @t778 (= (tptp.hAPP (tptp.hAPP @t155 @t983) @t809) (tptp.c_Groups_Ominus__class_Ominus @t12 @t811 @t810))))) % 1.13/1.33 (assume @p964 (forall @t559 (= (tptp.hAPP (tptp.hAPP @t369 @t952) @t318) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t724 @t558)))) % 1.13/1.33 (assume @p965 (forall @t466 (= (tptp.hAPP @t443 @t952) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t465 @t464)))) % 1.13/1.33 (assume @p966 (forall @t603 (=> @t274 (=> @t969 (= @t185 (tptp.c_Orderings_Oord__class_Oless__eq @t12 @t131 @t601)))))) % 1.13/1.33 (assume @p967 (forall @t361 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t952 @t61))) % 1.13/1.33 (assume @p968 (forall @t981 (=> @t449 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t980 @t979)))) % 1.13/1.33 (assume @p969 (forall @t981 (=> @t449 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t61 @t434) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t32 @t434))))) % 1.13/1.33 (assume @p970 (forall @t474 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t437 @t32) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t32 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t32 @t437)) @t437)))) % 1.13/1.33 (assume @p971 (forall @t423 (=> @t976 (=> @t975 (= (= @t974 @t973) @t412))))) % 1.13/1.33 (assume @p972 (forall @t466 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 @t61) (=> @t533 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t61 @t318) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t32 @t318)) @t952))))) % 1.13/1.33 (assume @p973 (forall @t423 (=> @t976 (=> @t975 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t974 @t973) @t473))))) % 1.13/1.33 (assume @p974 (forall @t986 (=> @t985 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t437 @t984) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t736 @t435))))) % 1.13/1.33 (assume @p975 (forall (@list @t410 @t987 @t988) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t988 @t990) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t989 @t987)))) % 1.13/1.33 (assume @p976 (forall (@list @t988 @t410 @t987) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t990 @t988) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t987 @t989)))) % 1.13/1.33 (assume @p977 (forall @t361 (=> @t508 @t991))) % 1.13/1.33 (assume @p978 (forall @t958 (=> @t533 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t61 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t741 @t318))))) % 1.13/1.33 (assume @p979 (forall @t477 (=> @t494 @t991))) % 1.13/1.33 (assume @p980 (forall @t986 (=> @t985 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t437 @t984) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t725 @t318))))) % 1.13/1.33 (assume @p981 (forall (@list @t988 @t987 @t410) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t410 @t987) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t988 @t990) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t989 @t987))))) % 1.13/1.33 (assume @p982 (forall @t477 (=> @t494 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t952 @t32) @t61)))) % 1.13/1.33 (assume @p983 (forall @t995 (=> @t994 (tptp.class_Groups_Ocancel__comm__monoid__add @t993)))) % 1.13/1.33 (assume @p984 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p985 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p986 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p987 (forall @t998 (=> (tptp.class_Lattices_Oboolean__algebra @t992) (tptp.class_Lattices_Oboolean__algebra @t997)))) % 1.13/1.33 (assume @p988 (forall @t998 (=> (tptp.class_Orderings_Opreorder @t992) (tptp.class_Orderings_Opreorder @t997)))) % 1.13/1.33 (assume @p989 (forall @t998 (=> (tptp.class_Orderings_Oorder @t992) (tptp.class_Orderings_Oorder @t997)))) % 1.13/1.33 (assume @p990 (forall @t998 (=> (tptp.class_Orderings_Oord @t992) (tptp.class_Orderings_Oord @t997)))) % 1.13/1.33 (assume @p991 (forall @t998 (=> (tptp.class_Groups_Ouminus @t992) (tptp.class_Groups_Ouminus @t997)))) % 1.13/1.33 (assume @p992 (forall @t998 (=> (tptp.class_Groups_Ominus @t992) (tptp.class_Groups_Ominus @t997)))) % 1.13/1.33 (assume @p993 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p994 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p995 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p996 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p997 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p998 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p999 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1000 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1001 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1002 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1003 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1004 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1005 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1006 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1007 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1008 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1009 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1010 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1011 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1012 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1013 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1014 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1015 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1016 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1017 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1018 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1019 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1020 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1021 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1022 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1023 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1024 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1025 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1026 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1027 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1028 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1029 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1030 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1031 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1032 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1033 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1034 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1035 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1036 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1037 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1038 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1039 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1040 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1041 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1042 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1043 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1044 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1045 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1046 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1047 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1048 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1049 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1050 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.13/1.33 (assume @p1051 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1052 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1053 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1054 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1055 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1056 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1057 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1058 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1059 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1060 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1061 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1062 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1063 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1064 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1065 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1066 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1067 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1068 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1069 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1070 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1071 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1072 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1073 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1074 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1075 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1076 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1077 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1078 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1079 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1080 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1081 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1082 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1083 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1084 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1085 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1086 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1087 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1088 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.13/1.33 (assume @p1089 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.13/1.33 (assume @p1090 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.13/1.33 (assume @p1091 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.13/1.33 (assume @p1092 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.13/1.33 (assume @p1093 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.13/1.33 (assume @p1094 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.13/1.33 (assume @p1095 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1096 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1097 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1098 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1099 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1100 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1101 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1102 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1103 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1104 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1105 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1106 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1107 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1108 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1109 @t999) % 1.13/1.33 (assume @p1110 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1111 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1112 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1113 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1114 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1115 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1116 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1117 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1118 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1119 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1120 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1121 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1122 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1123 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1124 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1125 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1126 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1127 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1128 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1129 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1130 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1131 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1132 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 1.13/1.33 (assume @p1133 (forall @t995 (=> @t1000 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t993)))) % 1.13/1.33 (assume @p1134 (forall @t995 (=> @t1001 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t993)))) % 1.13/1.33 (assume @p1135 (forall @t995 (=> @t1001 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t993)))) % 1.13/1.33 (assume @p1136 (forall @t995 (=> @t1001 (tptp.class_Rings_Olinordered__comm__semiring__strict @t993)))) % 1.13/1.33 (assume @p1137 (forall @t995 (=> @t1001 (tptp.class_Rings_Olinordered__semiring__1__strict @t993)))) % 1.13/1.33 (assume @p1138 (forall @t995 (=> @t1001 (tptp.class_Rings_Olinordered__semiring__strict @t993)))) % 1.13/1.33 (assume @p1139 (forall @t995 (=> @t1001 (tptp.class_Groups_Oordered__ab__semigroup__add @t993)))) % 1.13/1.33 (assume @p1140 (forall @t995 (=> @t1001 (tptp.class_Groups_Oordered__comm__monoid__add @t993)))) % 1.13/1.33 (assume @p1141 (forall @t995 (=> @t1001 (tptp.class_Groups_Olinordered__ab__group__add @t993)))) % 1.13/1.33 (assume @p1142 (forall @t995 (=> @t994 (tptp.class_Groups_Ocancel__ab__semigroup__add @t993)))) % 1.13/1.33 (assume @p1143 (forall @t995 (=> @t1000 (tptp.class_Rings_Oring__1__no__zero__divisors @t993)))) % 1.13/1.33 (assume @p1144 (forall @t995 (=> @t1001 (tptp.class_Rings_Oordered__cancel__semiring @t993)))) % 1.13/1.33 (assume @p1145 (forall @t995 (=> @t1001 (tptp.class_Rings_Olinordered__ring__strict @t993)))) % 1.13/1.33 (assume @p1146 (forall @t995 (=> @t1000 (tptp.class_Rings_Oring__no__zero__divisors @t993)))) % 1.13/1.33 (assume @p1147 (forall @t995 (=> @t1001 (tptp.class_Rings_Oordered__comm__semiring @t993)))) % 1.13/1.33 (assume @p1148 (forall @t995 (=> @t1001 (tptp.class_Rings_Olinordered__semiring__1 @t993)))) % 1.13/1.33 (assume @p1149 (forall @t995 (=> @t1001 (tptp.class_Groups_Oordered__ab__group__add @t993)))) % 1.13/1.33 (assume @p1150 (forall @t995 (=> @t994 (tptp.class_Groups_Ocancel__semigroup__add @t993)))) % 1.13/1.33 (assume @p1151 (forall @t995 (=> @t1001 (tptp.class_Rings_Olinordered__semiring @t993)))) % 1.13/1.33 (assume @p1152 (forall @t995 (=> @t1001 (tptp.class_Rings_Olinordered__semidom @t993)))) % 1.13/1.33 (assume @p1153 (forall @t995 (=> @t1002 (tptp.class_Groups_Oab__semigroup__mult @t993)))) % 1.13/1.33 (assume @p1154 (forall @t995 (=> @t1003 (tptp.class_Groups_Ocomm__monoid__mult @t993)))) % 1.13/1.33 (assume @p1155 (forall @t995 (=> @t1004 (tptp.class_Groups_Oab__semigroup__add @t993)))) % 1.13/1.33 (assume @p1156 (forall @t995 (=> @t1001 (tptp.class_Rings_Oordered__semiring @t993)))) % 1.13/1.33 (assume @p1157 (forall @t995 (=> @t1000 (tptp.class_Rings_Ono__zero__divisors @t993)))) % 1.13/1.33 (assume @p1158 (forall @t995 (=> @t1004 (tptp.class_Groups_Ocomm__monoid__add @t993)))) % 1.13/1.33 (assume @p1159 (forall @t995 (=> @t1001 (tptp.class_Rings_Olinordered__ring @t993)))) % 1.13/1.33 (assume @p1160 (forall @t995 (=> @t1001 (tptp.class_Rings_Olinordered__idom @t993)))) % 1.13/1.33 (assume @p1161 (forall @t995 (=> @t1003 (tptp.class_Rings_Ocomm__semiring__1 @t993)))) % 1.13/1.33 (assume @p1162 (forall @t995 (=> @t1002 (tptp.class_Rings_Ocomm__semiring__0 @t993)))) % 1.13/1.33 (assume @p1163 (forall @t995 (=> @t1005 (tptp.class_Divides_Osemiring__div @t993)))) % 1.13/1.33 (assume @p1164 (forall @t995 (=> @t1002 (tptp.class_Rings_Ocomm__semiring @t993)))) % 1.13/1.33 (assume @p1165 (forall @t995 (=> @t1006 (tptp.class_Groups_Oab__group__add @t993)))) % 1.13/1.33 (assume @p1166 (forall @t995 (=> @t1003 (tptp.class_Rings_Ozero__neq__one @t993)))) % 1.13/1.33 (assume @p1167 (forall @t995 (=> @t1001 (tptp.class_Rings_Oordered__ring @t993)))) % 1.13/1.33 (assume @p1168 (forall @t995 (=> @t1001 (tptp.class_Orderings_Opreorder @t993)))) % 1.13/1.33 (assume @p1169 (forall @t995 (=> @t1001 (tptp.class_Orderings_Olinorder @t993)))) % 1.13/1.33 (assume @p1170 (forall @t995 (=> @t1003 (tptp.class_Groups_Omonoid__mult @t993)))) % 1.13/1.33 (assume @p1171 (forall @t995 (=> @t1007 (tptp.class_Rings_Ocomm__ring__1 @t993)))) % 1.13/1.33 (assume @p1172 (forall @t995 (=> @t1004 (tptp.class_Groups_Omonoid__add @t993)))) % 1.13/1.33 (assume @p1173 (forall @t995 (=> @t1002 (tptp.class_Rings_Osemiring__0 @t993)))) % 1.13/1.33 (assume @p1174 (forall @t995 (=> @t1006 (tptp.class_Groups_Ogroup__add @t993)))) % 1.13/1.33 (assume @p1175 (forall @t995 (=> @t1005 (tptp.class_Divides_Oring__div @t993)))) % 1.13/1.33 (assume @p1176 (forall @t995 (=> @t1002 (tptp.class_Rings_Omult__zero @t993)))) % 1.13/1.33 (assume @p1177 (forall @t995 (=> @t1008 (tptp.class_Rings_Ocomm__ring @t993)))) % 1.13/1.33 (assume @p1178 (forall @t995 (=> @t1001 (tptp.class_Orderings_Oorder @t993)))) % 1.13/1.33 (assume @p1179 (forall @t995 (=> @t1001 (tptp.class_Int_Oring__char__0 @t993)))) % 1.13/1.33 (assume @p1180 (forall @t995 (=> @t1002 (tptp.class_Rings_Osemiring @t993)))) % 1.13/1.33 (assume @p1181 (forall @t995 (=> @t1001 (tptp.class_Orderings_Oord @t993)))) % 1.13/1.33 (assume @p1182 (forall @t995 (=> @t1006 (tptp.class_Groups_Ouminus @t993)))) % 1.13/1.33 (assume @p1183 (forall @t995 (=> @t1007 (tptp.class_Rings_Oring__1 @t993)))) % 1.13/1.33 (assume @p1184 (forall @t995 (=> @t1006 (tptp.class_Groups_Ominus @t993)))) % 1.13/1.33 (assume @p1185 (forall @t995 (=> @t1003 (tptp.class_Power_Opower @t993)))) % 1.13/1.33 (assume @p1186 (forall @t995 (=> (tptp.class_Groups_Ozero @t992) (tptp.class_Groups_Ozero @t993)))) % 1.13/1.33 (assume @p1187 (forall @t995 (=> @t1008 (tptp.class_Rings_Oring @t993)))) % 1.13/1.33 (assume @p1188 (forall @t995 (=> @t1000 (tptp.class_Rings_Oidom @t993)))) % 1.13/1.33 (assume @p1189 (forall @t995 (=> @t1003 (tptp.class_Groups_Oone @t993)))) % 1.13/1.33 (assume @p1190 (forall @t995 (=> @t1003 (tptp.class_Rings_Odvd @t993)))) % 1.13/1.33 (assume @p1191 (forall @t405 (or (not @t1009) @t58))) % 1.13/1.33 (assume @p1192 (forall @t405 (or @t403 @t1009))) % 1.13/1.33 (assume @p1193 (not (not @t1010))) % 1.13/1.33 (assume @p1194 true) % 1.13/1.33 (step @p1195 :rule eq-symm :args (tptp.v_s____ @t8)) % 1.13/1.33 (step @p1196 :rule bool-double-not-elim :args (@t1010)) % 1.13/1.33 (step @p1197 :rule trans :premises (@p1196 @p1195)) % 1.13/1.33 (step @p1198 :rule eq_resolve :premises (@p1193 @p1197)) % 1.13/1.33 (step @p1199 :rule bool-impl-elim :args (@t21 @t1011)) % 1.13/1.33 (step @p1200 :rule cong :premises (@p1199) :args ((forall @t43 (=> @t21 @t1011)))) % 1.13/1.33 (step @p1201 :rule eq-symm :args (@t327 @t19)) % 1.13/1.33 (step @p1202 :rule refl :args (@t21)) % 1.13/1.33 (step @p1203 :rule cong :premises (@p1202 @p1201) :args (@t328)) % 1.13/1.33 (step @p1204 :rule cong :premises (@p1203) :args (@t329)) % 1.13/1.33 (step @p1205 :rule trans :premises (@p1204 @p1200)) % 1.13/1.33 (step @p1206 :rule eq_resolve :premises (@p194 @p1205)) % 1.13/1.33 (step @p1207 :rule instantiate :premises (@p1206) :args ((@list @t137 tptp.tc_Complex_Ocomplex))) % 1.13/1.33 (step @p1208 :rule cnf_or_pos :args (@t1015)) % 1.13/1.33 (step @p1209 :rule reordering :premises (@p1208) :args ((or @t1014 @t1013 (not @t1015)))) % 1.13/1.33 (step @p1210 :rule chain_m_resolution :premises (@p1209 @p1109 @p1207) :args (@t1013 (@list false false) (@list @t999 @t1015))) % 1.13/1.33 (step @p1211 :rule refl :args (@t1016)) % 1.13/1.33 (step @p1212 :rule refl :args (@t1018)) % 1.13/1.33 (step @p1213 :rule refl :args (@t1019)) % 1.13/1.33 (step @p1214 :rule bool-double-not-elim :args (@t9)) % 1.13/1.33 (step @p1215 :rule nary_cong :premises (@p1214 @p1213 @p1212 @p1211) :args ((or (not @t10) @t1019 @t1018 @t1016))) % 1.13/1.33 (assume-push @p1259 @t1016) % 1.13/1.33 (assume-push @p1260 @t1013) % 1.13/1.33 (step @p1218 :rule evaluate :args ((= false true))) % 1.13/1.33 (step @p1219 :rule true_intro :premises (@p1210)) % 1.13/1.33 (step @p1220 :rule bool-eq-false :args (@t1013)) % 1.13/1.33 (step @p1221 :rule symm :premises (@p1220)) % 1.13/1.33 (step @p1222 :rule eq-symm :args (@t1012 @t8)) % 1.13/1.33 (step @p1223 :rule cong :premises (@p1222) :args (@t1021)) % 1.13/1.33 (step @p1224 :rule bool-eq-false :args (@t1020)) % 1.13/1.33 (step @p1225 :rule trans :premises (@p1224 @p1223)) % 1.13/1.33 (step @p1226 :rule trans :premises (@p1225 @p1221)) % 1.13/1.33 (step @p1227 :rule false_intro :premises (@p2)) % 1.13/1.33 (step @p1228 :rule refl :args (@t8)) % 1.13/1.33 (step @p1229 :rule symm :premises (@p62)) % 1.13/1.33 (step @p1230 :rule refl :args (@t139)) % 1.13/1.33 (step @p1231 :rule cong :premises (@p1230 @p1198) :args (@t1012)) % 1.13/1.33 (step @p1232 :rule trans :premises (@p1231 @p1229)) % 1.13/1.33 (step @p1233 :rule cong :premises (@p1232 @p1228) :args (@t1020)) % 1.13/1.33 (step @p1234 :rule trans :premises (@p1233 @p1227)) % 1.13/1.33 (step @p1235 :rule eq_resolve :premises (@p1234 @p1226)) % 1.13/1.33 (step @p1236 :rule symm :premises (@p1235)) % 1.13/1.33 (step @p1237 :rule trans :premises (@p1236 @p1219)) % 1.13/1.33 (step @p1238 false :rule eq_resolve :premises (@p1237 @p1218)) % 1.13/1.33 (step-pop @p1261 :rule scope :premises (@p1238)) % 1.13/1.33 (step-pop @p1262 :rule scope :premises (@p1261)) % 1.13/1.33 (step @p1239 :rule process_scope :premises (@p1262) :args (false)) % 1.13/1.33 (assume-push @p1263 @t10) % 1.13/1.33 (assume-push @p1264 @t140) % 1.13/1.33 (assume-push @p1265 @t1017) % 1.13/1.33 (assume-push @p1266 @t1013) % 1.13/1.33 (step @p1220 :rule bool-eq-false :args (@t1013)) % 1.13/1.33 (step @p1221 :rule symm :premises (@p1220)) % 1.13/1.33 (step @p1222 :rule eq-symm :args (@t1012 @t8)) % 1.13/1.33 (step @p1223 :rule cong :premises (@p1222) :args (@t1021)) % 1.13/1.33 (step @p1224 :rule bool-eq-false :args (@t1020)) % 1.13/1.33 (step @p1225 :rule trans :premises (@p1224 @p1223)) % 1.13/1.33 (step @p1226 :rule trans :premises (@p1225 @p1221)) % 1.13/1.33 (step @p1227 :rule false_intro :premises (@p2)) % 1.13/1.33 (step @p1228 :rule refl :args (@t8)) % 1.13/1.33 (step @p1229 :rule symm :premises (@p62)) % 1.13/1.33 (step @p1230 :rule refl :args (@t139)) % 1.13/1.33 (step @p1231 :rule cong :premises (@p1230 @p1198) :args (@t1012)) % 1.13/1.33 (step @p1232 :rule trans :premises (@p1231 @p1229)) % 1.13/1.33 (step @p1233 :rule cong :premises (@p1232 @p1228) :args (@t1020)) % 1.13/1.33 (step @p1234 :rule trans :premises (@p1233 @p1227)) % 1.13/1.33 (step @p1246 :rule eq_resolve :premises (@p1234 @p1226)) % 1.13/1.33 (step @p1247 :rule false_elim :premises (@p1246)) % 1.13/1.33 (step @p1248 :rule and_intro :premises (@p1247 @p1210)) % 1.13/1.33 (step-pop @p1267 :rule scope :premises (@p1248)) % 1.13/1.33 (step-pop @p1268 :rule scope :premises (@p1267)) % 1.13/1.33 (step-pop @p1269 :rule scope :premises (@p1268)) % 1.13/1.33 (step-pop @p1270 :rule scope :premises (@p1269)) % 1.13/1.33 (step @p1249 :rule process_scope :premises (@p1270) :args (@t1022)) % 1.13/1.33 (step @p1254 :rule implies_elim :premises (@p1249)) % 1.13/1.33 (step @p1255 :rule resolution :premises (@p1254 @p1239) :args (true @t1022)) % 1.13/1.33 (step @p1256 :rule not_and :premises (@p1255)) % 1.13/1.33 (step @p1257 :rule eq_resolve :premises (@p1256 @p1215)) % 1.13/1.33 (step @p1258 false :rule chain_m_resolution :premises (@p1257 @p1210 @p1198 @p62 @p2) :args (false (@list false false false true) (@list @t1013 @t1017 @t140 @t9))) % 1.13/1.33 ) % 1.13/1.33 % SZS output end Proof % 1.13/1.33 % cvc5 exiting %------------------------------------------------------------------------------