%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW288+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:40 AM UTC 2026 % Result : Theorem 1.13s 1.31s % Output : Proof 1.13s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW288+1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n023.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:44:28 EDT 2026 % 0.17/0.34 % CPUTime : % 0.46/0.74 %----Proving TF0_NAR, FOF, or CNF % 1.13/1.31 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.13/1.31 % SZS status Theorem % 1.13/1.31 % SZS output start Proof % 1.13/1.31 ( % 1.13/1.31 (declare-sort $$unsorted 0) % 1.13/1.31 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.c_Polynomial_Opoly__gcd (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.v_p $$unsorted) % 1.13/1.31 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_fFalse $$unsorted) % 1.13/1.31 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.c_HOL_Obool_Obool__size (-> $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.tc_String_Oliteral $$unsorted) % 1.13/1.31 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.13/1.31 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.c_fTrue $$unsorted) % 1.13/1.31 (declare-const tptp.t_a $$unsorted) % 1.13/1.31 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.c_String_Ochar_Ochar__size (-> $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.13/1.31 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.13/1.31 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.tc_String_Ochar $$unsorted) % 1.13/1.31 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Nat_Onat_Onat__size (-> $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.13/1.31 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.13/1.31 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.13/1.31 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.13/1.31 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.13/1.31 (define @t3 () (@var "B_x" $$unsorted)) % 1.13/1.31 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.13/1.31 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.13/1.31 (define @t6 () (@list @t3)) % 1.13/1.31 (define @t7 () (tptp.c_Polynomial_Opoly tptp.t_a tptp.v_p)) % 1.13/1.31 (define @t8 () (tptp.class_Rings_Oidom tptp.t_a)) % 1.13/1.32 (define @t9 () (tptp.class_Int_Oring__char__0 tptp.t_a)) % 1.13/1.32 (define @t10 () (and @t9 @t8)) % 1.13/1.32 (define @t11 () (@var "T_b" $$unsorted)) % 1.13/1.32 (define @t12 () (tptp.c_Groups_Ozero__class_Ozero @t11)) % 1.13/1.32 (define @t13 () (@var "V_x_2" $$unsorted)) % 1.13/1.32 (define @t14 () (= @t13 @t12)) % 1.13/1.32 (define @t15 () (tptp.class_Groups_Ozero @t11)) % 1.13/1.32 (define @t16 () (@list @t13 @t11)) % 1.13/1.32 (define @t17 () (@var "V_p" $$unsorted)) % 1.13/1.32 (define @t18 () (@var "T_a" $$unsorted)) % 1.13/1.32 (define @t19 () (tptp.c_Polynomial_Odegree @t18 @t17)) % 1.13/1.32 (define @t20 () (@var "V_h" $$unsorted)) % 1.13/1.32 (define @t21 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t18 @t17 @t20)) % 1.13/1.32 (define @t22 () (tptp.class_Rings_Ocomm__semiring__0 @t18)) % 1.13/1.32 (define @t23 () (@var "V_a" $$unsorted)) % 1.13/1.32 (define @t24 () (tptp.c_Polynomial_Osmult @t18 @t23 @t17)) % 1.13/1.32 (define @t25 () (tptp.c_Polynomial_Odegree @t18 @t24)) % 1.13/1.32 (define @t26 () (tptp.c_Groups_Ozero__class_Ozero @t18)) % 1.13/1.32 (define @t27 () (= @t23 @t26)) % 1.13/1.32 (define @t28 () (not @t27)) % 1.13/1.32 (define @t29 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.13/1.32 (define @t30 () (tptp.class_Rings_Oidom @t18)) % 1.13/1.32 (define @t31 () (@list @t17 @t23 @t18)) % 1.13/1.32 (define @t32 () (tptp.hAPP @t7 (tptp.c_Groups_Ozero__class_Ozero tptp.t_a))) % 1.13/1.32 (define @t33 () (tptp.c_Polynomial_OpCons tptp.t_a @t32 (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.t_a)))) % 1.13/1.32 (define @t34 () (tptp.c_Polynomial_Odegree tptp.t_a @t33)) % 1.13/1.32 (define @t35 () (tptp.c_Polynomial_Odegree tptp.t_a tptp.v_p)) % 1.13/1.32 (define @t36 () (= @t35 @t34)) % 1.13/1.32 (define @t37 () (@var "V_x" $$unsorted)) % 1.13/1.32 (define @t38 () (@list @t37)) % 1.13/1.32 (define @t39 () (@var "V_n" $$unsorted)) % 1.13/1.32 (define @t40 () (tptp.c_Polynomial_Omonom @t18 @t23 @t39)) % 1.13/1.32 (define @t41 () (tptp.c_Polynomial_Odegree @t18 @t40)) % 1.13/1.32 (define @t42 () (tptp.class_Groups_Ozero @t18)) % 1.13/1.32 (define @t43 () (@list @t39 @t23 @t18)) % 1.13/1.32 (define @t44 () (@var "V_s" $$unsorted)) % 1.13/1.32 (define @t45 () (@var "V_c" $$unsorted)) % 1.13/1.32 (define @t46 () (@list @t45)) % 1.13/1.32 (define @t47 () (tptp.tc_Polynomial_Opoly @t18)) % 1.13/1.32 (define @t48 () (tptp.c_Groups_Ozero__class_Ozero @t47)) % 1.13/1.32 (define @t49 () (@list @t23 @t18)) % 1.13/1.32 (define @t50 () (tptp.c_Polynomial_OpCons @t18 @t23 @t48)) % 1.13/1.32 (define @t51 () (tptp.tc_Polynomial_Opoly @t11)) % 1.13/1.32 (define @t52 () (tptp.c_Groups_Ozero__class_Ozero @t51)) % 1.13/1.32 (define @t53 () (@var "V_pa_2" $$unsorted)) % 1.13/1.32 (define @t54 () (= @t53 @t52)) % 1.13/1.32 (define @t55 () (tptp.c_Polynomial_Opoly @t11 @t53)) % 1.13/1.32 (define @t56 () (tptp.class_Rings_Oidom @t11)) % 1.13/1.32 (define @t57 () (and (tptp.class_Int_Oring__char__0 @t11) @t56)) % 1.13/1.32 (define @t58 () (@list @t53 @t11)) % 1.13/1.32 (define @t59 () (@var "V_q_2" $$unsorted)) % 1.13/1.32 (define @t60 () (= @t53 @t59)) % 1.13/1.32 (define @t61 () (@list @t59 @t53 @t11)) % 1.13/1.32 (define @t62 () (@var "V_h_2" $$unsorted)) % 1.13/1.32 (define @t63 () (tptp.class_Rings_Ocomm__semiring__0 @t11)) % 1.13/1.32 (define @t64 () (@var "V_b_2" $$unsorted)) % 1.13/1.32 (define @t65 () (@var "V_a_2" $$unsorted)) % 1.13/1.32 (define @t66 () (= @t65 @t64)) % 1.13/1.32 (define @t67 () (@var "V_n_2" $$unsorted)) % 1.13/1.32 (define @t68 () (tptp.c_Polynomial_Omonom @t11 @t65 @t67)) % 1.13/1.32 (define @t69 () (tptp.c_Polynomial_OpCons @t11 @t65 @t53)) % 1.13/1.32 (define @t70 () (= @t17 @t48)) % 1.13/1.32 (define @t71 () (tptp.c_Polynomial_OpCons @t18 @t23 @t17)) % 1.13/1.32 (define @t72 () (tptp.c_Polynomial_Osmult @t18 @t45 @t17)) % 1.13/1.32 (define @t73 () (@list @t23 @t17 @t45 @t18)) % 1.13/1.32 (define @t74 () (= @t65 @t12)) % 1.13/1.32 (define @t75 () (@list @t53 @t65 @t11)) % 1.13/1.32 (define @t76 () (@list @t18)) % 1.13/1.32 (define @t77 () (tptp.c_Polynomial_Osmult @t11 @t65 @t53)) % 1.13/1.32 (define @t78 () (@list @t17 @t18)) % 1.13/1.32 (define @t79 () (@list @t37 @t18)) % 1.13/1.32 (define @t80 () (@list @t67 @t65 @t11)) % 1.13/1.32 (define @t81 () (@list @t39 @t18)) % 1.13/1.32 (define @t82 () (tptp.c_Polynomial_Odegree @t18 @t50)) % 1.13/1.32 (define @t83 () (=> @t42 (= @t82 @t29))) % 1.13/1.32 (define @t84 () (forall @t49 @t83)) % 1.13/1.32 (define @t85 () (@var "B_y" $$unsorted)) % 1.13/1.32 (define @t86 () (@var "T_c" $$unsorted)) % 1.13/1.32 (define @t87 () (@var "V_z_2" $$unsorted)) % 1.13/1.32 (define @t88 () (tptp.c_Polynomial_Opoly__rec @t11 @t86 @t87 @t2 @t53)) % 1.13/1.32 (define @t89 () (tptp.hAPP (tptp.hAPP @t2 @t65) @t53)) % 1.13/1.32 (define @t90 () (tptp.c_Polynomial_Opoly__rec @t11 @t86 @t87 @t2 (tptp.c_Polynomial_OpCons @t86 @t65 @t53))) % 1.13/1.32 (define @t91 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t86))) % 1.13/1.32 (define @t92 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t86)) @t91) @t87) @t87)) % 1.13/1.32 (define @t93 () (tptp.class_Groups_Ozero @t86)) % 1.13/1.32 (define @t94 () (tptp.c_Polynomial_Odegree @t11 @t53)) % 1.13/1.32 (define @t95 () (@var "V_c_2" $$unsorted)) % 1.13/1.32 (define @t96 () (@list @t95 @t53 @t11)) % 1.13/1.32 (define @t97 () (tptp.c_Nat_OSuc @t19)) % 1.13/1.32 (define @t98 () (tptp.c_Polynomial_Odegree @t18 @t71)) % 1.13/1.32 (define @t99 () (not @t70)) % 1.13/1.32 (define @t100 () (=> @t99 (= @t98 @t97))) % 1.13/1.32 (define @t101 () (@list @t23 @t17 @t18)) % 1.13/1.32 (define @t102 () (tptp.c_Polynomial_Osynthetic__div @t18 @t17 @t45)) % 1.13/1.32 (define @t103 () (tptp.c_Polynomial_Opoly @t18 @t17)) % 1.13/1.32 (define @t104 () (tptp.hAPP @t103 @t45)) % 1.13/1.32 (define @t105 () (tptp.c_Polynomial_OpCons @t18 @t104 @t102)) % 1.13/1.32 (define @t106 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t18 @t17)) % 1.13/1.32 (define @t107 () (tptp.c_Nat_OSuc @t39)) % 1.13/1.32 (define @t108 () (@var "V_m" $$unsorted)) % 1.13/1.32 (define @t109 () (tptp.c_Nat_OSuc @t108)) % 1.13/1.32 (define @t110 () (@list @t108)) % 1.13/1.32 (define @t111 () (@var "V_nat_H" $$unsorted)) % 1.13/1.32 (define @t112 () (@var "V_nat_H_1" $$unsorted)) % 1.13/1.32 (define @t113 () (@var "V_q" $$unsorted)) % 1.13/1.32 (define @t114 () (@var "V_r" $$unsorted)) % 1.13/1.32 (define @t115 () (@list @t45 @t17 @t18)) % 1.13/1.32 (define @t116 () (tptp.c_Nat_OSuc @t29)) % 1.13/1.32 (define @t117 () (@var "V_nat" $$unsorted)) % 1.13/1.32 (define @t118 () (tptp.c_Nat_OSuc @t117)) % 1.13/1.32 (define @t119 () (@list @t117)) % 1.13/1.32 (define @t120 () (tptp.c_Polynomial_Oorder @t18 @t23 @t17)) % 1.13/1.32 (define @t121 () (@list @t39)) % 1.13/1.32 (define @t122 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t39)) % 1.13/1.32 (define @t123 () (@list @t108 @t39)) % 1.13/1.32 (define @t124 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t39 @t108)) % 1.13/1.32 (define @t125 () (@var "B_k" $$unsorted)) % 1.13/1.32 (define @t126 () (@var "V_m_2" $$unsorted)) % 1.13/1.32 (define @t127 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t126 @t125)) % 1.13/1.32 (define @t128 () (@list @t125)) % 1.13/1.32 (define @t129 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t126 @t67)) % 1.13/1.32 (define @t130 () (@list @t67 @t126)) % 1.13/1.32 (define @t131 () (@list @t39 @t108)) % 1.13/1.32 (define @t132 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t108)) % 1.13/1.32 (define @t133 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t108 @t39)) % 1.13/1.32 (define @t134 () (@var "V_z" $$unsorted)) % 1.13/1.32 (define @t135 () (@var "V_y" $$unsorted)) % 1.13/1.32 (define @t136 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t135 @t134)) % 1.13/1.32 (define @t137 () (@list @t134 @t135 @t37)) % 1.13/1.32 (define @t138 () (@var "V_k" $$unsorted)) % 1.13/1.32 (define @t139 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t39 @t138)) % 1.13/1.32 (define @t140 () (@list @t138 @t39 @t108)) % 1.13/1.32 (define @t141 () (= @t126 @t67)) % 1.13/1.32 (define @t142 () (@var "V_k_2" $$unsorted)) % 1.13/1.32 (define @t143 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t142 @t67)) % 1.13/1.32 (define @t144 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t142 @t126)) % 1.13/1.32 (define @t145 () (@list @t67 @t126 @t142)) % 1.13/1.32 (define @t146 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t67 @t142)) % 1.13/1.32 (define @t147 () (@list @t67 @t142 @t126)) % 1.13/1.32 (define @t148 () (= @t108 @t39)) % 1.13/1.32 (define @t149 () (@var "V_j" $$unsorted)) % 1.13/1.32 (define @t150 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t149 @t108)) % 1.13/1.32 (define @t151 () (@var "V_i" $$unsorted)) % 1.13/1.32 (define @t152 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t151 @t149)) % 1.13/1.32 (define @t153 () (@list @t108 @t149 @t151)) % 1.13/1.32 (define @t154 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t149)) % 1.13/1.32 (define @t155 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t149 @t138)) % 1.13/1.32 (define @t156 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t151 @t138)) % 1.13/1.32 (define @t157 () (@list @t138 @t149 @t151)) % 1.13/1.32 (define @t158 () (@var "V_l" $$unsorted)) % 1.13/1.32 (define @t159 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t149 @t158)) % 1.13/1.32 (define @t160 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t138 @t158)) % 1.13/1.32 (define @t161 () (@list @t158 @t138 @t149 @t151)) % 1.13/1.32 (define @t162 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t138 @t39)) % 1.13/1.32 (define @t163 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t138)) % 1.13/1.32 (define @t164 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t163 @t39)) % 1.13/1.32 (define @t165 () (@list @t39 @t138 @t108)) % 1.13/1.32 (define @t166 () (@var "V_b" $$unsorted)) % 1.13/1.32 (define @t167 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t23 @t166)) % 1.13/1.32 (define @t168 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t45 @t166)) % 1.13/1.32 (define @t169 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t45 @t23)) % 1.13/1.32 (define @t170 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t169 @t168)) % 1.13/1.32 (define @t171 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t18)) % 1.13/1.32 (define @t172 () (@list @t166 @t23 @t45 @t18)) % 1.13/1.32 (define @t173 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t166 @t45)) % 1.13/1.32 (define @t174 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 @t45)) % 1.13/1.32 (define @t175 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t174 @t173)) % 1.13/1.32 (define @t176 () (@list @t166 @t45 @t23 @t18)) % 1.13/1.32 (define @t177 () (= @t166 @t45)) % 1.13/1.32 (define @t178 () (tptp.class_Groups_Ocancel__semigroup__add @t18)) % 1.13/1.32 (define @t179 () (@list @t45 @t23 @t166 @t18)) % 1.13/1.32 (define @t180 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 @t166)) % 1.13/1.32 (define @t181 () (=> (= @t180 @t174) @t177)) % 1.13/1.32 (define @t182 () (@list @t45 @t166 @t23 @t18)) % 1.13/1.32 (define @t183 () (@var "V_d" $$unsorted)) % 1.13/1.32 (define @t184 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t166 @t183)) % 1.13/1.32 (define @t185 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t45 @t183)) % 1.13/1.32 (define @t186 () (tptp.class_Groups_Oordered__ab__semigroup__add @t18)) % 1.13/1.32 (define @t187 () (@list @t183 @t45 @t166 @t23 @t18)) % 1.13/1.32 (define @t188 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t65 @t64)) % 1.13/1.32 (define @t189 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t95 @t64)) % 1.13/1.32 (define @t190 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t95 @t65)) % 1.13/1.32 (define @t191 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t11)) % 1.13/1.32 (define @t192 () (@list @t64 @t65 @t95 @t11)) % 1.13/1.32 (define @t193 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t64 @t95)) % 1.13/1.32 (define @t194 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t65 @t95)) % 1.13/1.32 (define @t195 () (@list @t64 @t95 @t65 @t11)) % 1.13/1.32 (define @t196 () (= @t64 @t95)) % 1.13/1.32 (define @t197 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t64 @t65)) % 1.13/1.32 (define @t198 () (tptp.class_Groups_Ocancel__semigroup__add @t11)) % 1.13/1.32 (define @t199 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t65 @t64)) % 1.13/1.32 (define @t200 () (@list @t95 @t64 @t65 @t11)) % 1.13/1.32 (define @t201 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t180 @t45)) % 1.13/1.32 (define @t202 () (= @t201 (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 @t173))) % 1.13/1.32 (define @t203 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t65)) % 1.13/1.32 (define @t204 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t65 @t65)) % 1.13/1.32 (define @t205 () (tptp.class_Groups_Olinordered__ab__group__add @t11)) % 1.13/1.32 (define @t206 () (@list @t65 @t11)) % 1.13/1.32 (define @t207 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t65 @t12)) % 1.13/1.32 (define @t208 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t166)) % 1.13/1.32 (define @t209 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t23)) % 1.13/1.32 (define @t210 () (tptp.class_Groups_Oordered__comm__monoid__add @t18)) % 1.13/1.32 (define @t211 () (@list @t166 @t23 @t18)) % 1.13/1.32 (define @t212 () (@var "V_y_2" $$unsorted)) % 1.13/1.32 (define @t213 () (= @t212 @t12)) % 1.13/1.32 (define @t214 () (and @t14 @t213)) % 1.13/1.32 (define @t215 () (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t13 @t212) @t12)) % 1.13/1.32 (define @t216 () (@list @t212 @t13 @t11)) % 1.13/1.32 (define @t217 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t166 @t174)) % 1.13/1.32 (define @t218 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t166 @t45)) % 1.13/1.32 (define @t219 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t166 @t23)) % 1.13/1.32 (define @t220 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t45)) % 1.13/1.32 (define @t221 () (@list @t23 @t166 @t45 @t18)) % 1.13/1.32 (define @t222 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t166 @t26)) % 1.13/1.32 (define @t223 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t23 @t26)) % 1.13/1.32 (define @t224 () (tptp.c_Groups_Oplus__class_Oplus @t47 @t17 @t113)) % 1.13/1.32 (define @t225 () (tptp.c_Polynomial_OpCons @t18 @t166 @t113)) % 1.13/1.32 (define @t226 () (tptp.class_Groups_Ocomm__monoid__add @t18)) % 1.13/1.32 (define @t227 () (@list @t113 @t166 @t17 @t23 @t18)) % 1.13/1.32 (define @t228 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t113) @t37)) % 1.13/1.32 (define @t229 () (tptp.hAPP @t103 @t37)) % 1.13/1.32 (define @t230 () (@list @t37 @t113 @t17 @t18)) % 1.13/1.32 (define @t231 () (tptp.c_Polynomial_Odegree @t18 @t224)) % 1.13/1.32 (define @t232 () (tptp.c_Polynomial_Odegree @t18 @t113)) % 1.13/1.32 (define @t233 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t232 @t39)) % 1.13/1.32 (define @t234 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t19 @t39)) % 1.13/1.32 (define @t235 () (@list @t113 @t39 @t17 @t18)) % 1.13/1.32 (define @t236 () (tptp.c_Polynomial_Osmult @t18 @t166 @t17)) % 1.13/1.32 (define @t237 () (@list @t17 @t166 @t23 @t18)) % 1.13/1.32 (define @t238 () (= @t39 @t29)) % 1.13/1.32 (define @t239 () (= @t67 @t29)) % 1.13/1.32 (define @t240 () (= @t126 @t29)) % 1.13/1.32 (define @t241 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t126 @t67)) % 1.13/1.32 (define @t242 () (@list @t67)) % 1.13/1.32 (define @t243 () (tptp.c_Nat_OSuc @t122)) % 1.13/1.32 (define @t244 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t107)) % 1.13/1.32 (define @t245 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t109 @t39)) % 1.13/1.32 (define @t246 () (tptp.c_Polynomial_Omonom @t18 @t166 @t39)) % 1.13/1.32 (define @t247 () (@list @t166 @t39 @t23 @t18)) % 1.13/1.32 (define @t248 () (tptp.c_Nat_OSuc @t67)) % 1.13/1.32 (define @t249 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t248 @t126)) % 1.13/1.32 (define @t250 () (tptp.c_Nat_OSuc @t126)) % 1.13/1.32 (define @t251 () (@list @t126 @t67)) % 1.13/1.32 (define @t252 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t108 @t107)) % 1.13/1.32 (define @t253 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t109 @t39)) % 1.13/1.32 (define @t254 () (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 @t26) @t23)) % 1.13/1.32 (define @t255 () (tptp.class_Groups_Omonoid__add @t18)) % 1.13/1.32 (define @t256 () (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t26 @t23) @t23)) % 1.13/1.32 (define @t257 () (@list @t113 @t18)) % 1.13/1.32 (define @t258 () (tptp.c_Polynomial_Osmult @t18 @t23 @t113)) % 1.13/1.32 (define @t259 () (@list @t113 @t17 @t23 @t18)) % 1.13/1.32 (define @t260 () (= @t67 @t116)) % 1.13/1.32 (define @t261 () (= @t126 @t116)) % 1.13/1.32 (define @t262 () (or (and @t261 @t239) (and @t240 @t260))) % 1.13/1.32 (define @t263 () (@var "V_nat_H_2" $$unsorted)) % 1.13/1.32 (define @t264 () (@var "V_nat_2" $$unsorted)) % 1.13/1.32 (define @t265 () (= @t37 @t135)) % 1.13/1.32 (define @t266 () (@list @t135 @t37)) % 1.13/1.32 (define @t267 () (tptp.class_Orderings_Opreorder @t18)) % 1.13/1.32 (define @t268 () (@var "B_n" $$unsorted)) % 1.13/1.32 (define @t269 () (@var "V_l_2" $$unsorted)) % 1.13/1.32 (define @t270 () (@list @t268)) % 1.13/1.32 (define @t271 () (@list @t269 @t142)) % 1.13/1.32 (define @t272 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t37 @t136)) % 1.13/1.32 (define @t273 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t37 @t135)) % 1.13/1.32 (define @t274 () (@list @t135 @t134 @t37)) % 1.13/1.32 (define @t275 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t11)) % 1.13/1.32 (define @t276 () (@list @t65 @t64 @t11)) % 1.13/1.32 (define @t277 () (tptp.class_Rings_Ocomm__semiring__1 @t18)) % 1.13/1.32 (define @t278 () (tptp.c_Groups_Otimes__class_Otimes @t47)) % 1.13/1.32 (define @t279 () (tptp.hAPP @t278 @t17)) % 1.13/1.32 (define @t280 () (tptp.hAPP @t279 @t113)) % 1.13/1.32 (define @t281 () (tptp.c_Polynomial_OpCons @t18 @t26 @t280)) % 1.13/1.32 (define @t282 () (@list @t113 @t23 @t17 @t18)) % 1.13/1.32 (define @t283 () (tptp.c_Groups_Otimes__class_Otimes @t18)) % 1.13/1.32 (define @t284 () (tptp.hAPP @t283 @t166)) % 1.13/1.32 (define @t285 () (tptp.hAPP @t284 @t45)) % 1.13/1.32 (define @t286 () (tptp.hAPP @t283 @t23)) % 1.13/1.32 (define @t287 () (tptp.hAPP @t286 @t166)) % 1.13/1.32 (define @t288 () (@var "V_ry" $$unsorted)) % 1.13/1.32 (define @t289 () (@var "V_ly" $$unsorted)) % 1.13/1.32 (define @t290 () (tptp.hAPP @t283 @t289)) % 1.13/1.32 (define @t291 () (@var "V_rx" $$unsorted)) % 1.13/1.32 (define @t292 () (@var "V_lx" $$unsorted)) % 1.13/1.32 (define @t293 () (tptp.hAPP @t283 @t292)) % 1.13/1.32 (define @t294 () (tptp.hAPP @t283 (tptp.hAPP @t293 @t291))) % 1.13/1.32 (define @t295 () (tptp.hAPP @t283 @t291)) % 1.13/1.32 (define @t296 () (tptp.hAPP @t295 @t288)) % 1.13/1.32 (define @t297 () (tptp.hAPP @t283 (tptp.hAPP @t293 @t289))) % 1.13/1.32 (define @t298 () (tptp.hAPP @t297 @t296)) % 1.13/1.32 (define @t299 () (@list @t288 @t291 @t289 @t292 @t18)) % 1.13/1.32 (define @t300 () (tptp.hAPP @t297 @t291)) % 1.13/1.32 (define @t301 () (@list @t291 @t289 @t292 @t18)) % 1.13/1.32 (define @t302 () (tptp.hAPP @t293 @t296)) % 1.13/1.32 (define @t303 () (@list @t288 @t291 @t292 @t18)) % 1.13/1.32 (define @t304 () (tptp.hAPP @t284 @t23)) % 1.13/1.32 (define @t305 () (tptp.hAPP @t283 @t26)) % 1.13/1.32 (define @t306 () (= (tptp.hAPP @t305 @t23) @t26)) % 1.13/1.32 (define @t307 () (= (tptp.hAPP @t286 @t26) @t26)) % 1.13/1.32 (define @t308 () (@var "V_w_2" $$unsorted)) % 1.13/1.32 (define @t309 () (tptp.c_Groups_Otimes__class_Otimes @t11)) % 1.13/1.32 (define @t310 () (tptp.hAPP @t309 @t13)) % 1.13/1.32 (define @t311 () (tptp.hAPP @t309 @t308)) % 1.13/1.32 (define @t312 () (tptp.hAPP @t310 @t87)) % 1.13/1.32 (define @t313 () (tptp.hAPP @t311 @t212)) % 1.13/1.32 (define @t314 () (tptp.hAPP @t283 @t180)) % 1.13/1.32 (define @t315 () (tptp.hAPP @t286 @t108)) % 1.13/1.32 (define @t316 () (tptp.hAPP @t286 @t45)) % 1.13/1.32 (define @t317 () (= (tptp.hAPP @t314 @t45) (tptp.c_Groups_Oplus__class_Oplus @t18 @t316 @t285))) % 1.13/1.32 (define @t318 () (tptp.hAPP @t309 @t64)) % 1.13/1.32 (define @t319 () (tptp.hAPP @t318 @t95)) % 1.13/1.32 (define @t320 () (@var "V_d_2" $$unsorted)) % 1.13/1.32 (define @t321 () (tptp.hAPP @t309 @t65)) % 1.13/1.32 (define @t322 () (tptp.hAPP @t321 @t95)) % 1.13/1.32 (define @t323 () (= @t95 @t320)) % 1.13/1.32 (define @t324 () (@list @t320 @t95 @t64 @t65 @t11)) % 1.13/1.32 (define @t325 () (tptp.hAPP @t283 @t37)) % 1.13/1.32 (define @t326 () (tptp.hAPP @t325 @t134)) % 1.13/1.32 (define @t327 () (tptp.hAPP @t325 @t135)) % 1.13/1.32 (define @t328 () (@list @t134 @t135 @t37 @t18)) % 1.13/1.32 (define @t329 () (tptp.c_Polynomial_Omonom @t18 @t23 @t108)) % 1.13/1.32 (define @t330 () (tptp.hAPP @t283 @t114)) % 1.13/1.32 (define @t331 () (= @t23 @t166)) % 1.13/1.32 (define @t332 () (tptp.c_Polynomial_Osmult @t18 @t23 @t280)) % 1.13/1.32 (define @t333 () (tptp.hAPP @t278 @t113)) % 1.13/1.32 (define @t334 () (tptp.hAPP @t310 @t13)) % 1.13/1.32 (define @t335 () (tptp.c_Groups_Oplus__class_Oplus @t11 @t334 (tptp.hAPP (tptp.hAPP @t309 @t212) @t212))) % 1.13/1.32 (define @t336 () (tptp.class_Rings_Olinordered__ring__strict @t11)) % 1.13/1.32 (define @t337 () (@list @t37 @t17 @t23 @t18)) % 1.13/1.32 (define @t338 () (@list @t39 @t166 @t23 @t18)) % 1.13/1.32 (define @t339 () (tptp.hAPP @t283 @t135)) % 1.13/1.32 (define @t340 () (tptp.hAPP @t325 @t37)) % 1.13/1.32 (define @t341 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t340 (tptp.hAPP @t339 @t135))) % 1.13/1.32 (define @t342 () (tptp.class_Rings_Olinordered__ring @t18)) % 1.13/1.32 (define @t343 () (@list @t135 @t37 @t18)) % 1.13/1.32 (define @t344 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t135 @t37)) % 1.13/1.32 (define @t345 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t37 @t135)) % 1.13/1.32 (define @t346 () (tptp.class_Orderings_Olinorder @t18)) % 1.13/1.32 (define @t347 () (tptp.tc_fun @t11 @t86)) % 1.13/1.32 (define @t348 () (tptp.c_Orderings_Oord__class_Oless__eq @t347 @t2 @t1)) % 1.13/1.32 (define @t349 () (tptp.class_Orderings_Oord @t86)) % 1.13/1.32 (define @t350 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t134 @t135)) % 1.13/1.32 (define @t351 () (tptp.class_Orderings_Oorder @t18)) % 1.13/1.32 (define @t352 () (@list @t134 @t37 @t135 @t18)) % 1.13/1.32 (define @t353 () (@list @t37 @t135 @t18)) % 1.13/1.32 (define @t354 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t135 @t134)) % 1.13/1.32 (define @t355 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t45 @t23)) % 1.13/1.32 (define @t356 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t23 @t45)) % 1.13/1.32 (define @t357 () (tptp.class_Orderings_Oord @t18)) % 1.13/1.32 (define @t358 () (= @t13 @t212)) % 1.13/1.32 (define @t359 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t13 @t212)) % 1.13/1.32 (define @t360 () (= @t359 @t358)) % 1.13/1.32 (define @t361 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t212 @t13)) % 1.13/1.32 (define @t362 () (tptp.class_Orderings_Oorder @t11)) % 1.13/1.32 (define @t363 () (@list @t13 @t212 @t11)) % 1.13/1.32 (define @t364 () (@list @t1 @t2 @t11 @t86)) % 1.13/1.32 (define @t365 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t19 @t232)) % 1.13/1.32 (define @t366 () (tptp.c_Polynomial_Odegree @t18 @t280)) % 1.13/1.32 (define @t367 () (@list @t113 @t17 @t18)) % 1.13/1.32 (define @t368 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t45 @t183)) % 1.13/1.32 (define @t369 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 @t368)) % 1.13/1.32 (define @t370 () (@list @t183 @t45 @t23 @t18)) % 1.13/1.32 (define @t371 () (not (= @t113 @t48))) % 1.13/1.32 (define @t372 () (tptp.c_Polynomial_Opcompose @t18 @t17 @t113)) % 1.13/1.32 (define @t373 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t287 @t26)) % 1.13/1.32 (define @t374 () (tptp.class_Rings_Oordered__cancel__semiring @t18)) % 1.13/1.32 (define @t375 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t287)) % 1.13/1.32 (define @t376 () (tptp.class_Rings_Oordered__ring @t18)) % 1.13/1.32 (define @t377 () (tptp.hAPP @t284 @t183)) % 1.13/1.32 (define @t378 () (=> @t220 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t316 @t377))) % 1.13/1.32 (define @t379 () (tptp.class_Rings_Oordered__semiring @t18)) % 1.13/1.32 (define @t380 () (tptp.hAPP @t283 @t45)) % 1.13/1.32 (define @t381 () (tptp.hAPP @t380 @t166)) % 1.13/1.32 (define @t382 () (tptp.hAPP @t380 @t23)) % 1.13/1.32 (define @t383 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t382 @t381)) % 1.13/1.32 (define @t384 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t45 @t26)) % 1.13/1.32 (define @t385 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t316 @t285)) % 1.13/1.32 (define @t386 () (=> @t167 (=> @t220 @t383))) % 1.13/1.32 (define @t387 () (= @t142 @t29)) % 1.13/1.32 (define @t388 () (or @t141 @t387)) % 1.13/1.32 (define @t389 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.13/1.32 (define @t390 () (tptp.hAPP @t389 @t67)) % 1.13/1.32 (define @t391 () (tptp.hAPP @t390 @t142)) % 1.13/1.32 (define @t392 () (tptp.hAPP @t389 @t126)) % 1.13/1.32 (define @t393 () (tptp.hAPP @t392 @t142)) % 1.13/1.32 (define @t394 () (tptp.hAPP @t389 @t142)) % 1.13/1.32 (define @t395 () (tptp.hAPP @t394 @t67)) % 1.13/1.32 (define @t396 () (tptp.hAPP @t394 @t126)) % 1.13/1.32 (define @t397 () (= @t396 @t395)) % 1.13/1.32 (define @t398 () (tptp.hAPP @t392 @t67)) % 1.13/1.32 (define @t399 () (tptp.hAPP @t389 @t108)) % 1.13/1.32 (define @t400 () (tptp.hAPP @t389 (tptp.c_Nat_OSuc @t142))) % 1.13/1.32 (define @t401 () (tptp.hAPP @t400 @t67)) % 1.13/1.32 (define @t402 () (tptp.hAPP @t400 @t126)) % 1.13/1.32 (define @t403 () (tptp.hAPP @t389 @t138)) % 1.13/1.32 (define @t404 () (tptp.hAPP @t403 @t39)) % 1.13/1.32 (define @t405 () (tptp.hAPP @t403 @t108)) % 1.13/1.32 (define @t406 () (@list @t39 @t108 @t138)) % 1.13/1.32 (define @t407 () (tptp.hAPP @t389 @t39)) % 1.13/1.32 (define @t408 () (tptp.hAPP @t407 @t138)) % 1.13/1.32 (define @t409 () (tptp.hAPP @t399 @t138)) % 1.13/1.32 (define @t410 () (tptp.hAPP @t399 @t108)) % 1.13/1.32 (define @t411 () (tptp.hAPP @t389 @t149)) % 1.13/1.32 (define @t412 () (tptp.hAPP @t411 @t138)) % 1.13/1.32 (define @t413 () (tptp.hAPP @t389 @t151)) % 1.13/1.32 (define @t414 () (tptp.hAPP @t413 @t138)) % 1.13/1.32 (define @t415 () (tptp.hAPP @t403 @t149)) % 1.13/1.32 (define @t416 () (tptp.hAPP @t403 @t151)) % 1.13/1.32 (define @t417 () (tptp.hAPP @t389 @t19)) % 1.13/1.32 (define @t418 () (tptp.hAPP @t399 @t39)) % 1.13/1.32 (define @t419 () (= @t166 @t26)) % 1.13/1.32 (define @t420 () (= @t287 @t26)) % 1.13/1.32 (define @t421 () (tptp.class_Rings_Ono__zero__divisors @t18)) % 1.13/1.32 (define @t422 () (not @t419)) % 1.13/1.32 (define @t423 () (= @t64 @t12)) % 1.13/1.32 (define @t424 () (tptp.hAPP @t321 @t64)) % 1.13/1.32 (define @t425 () (@list @t64 @t65 @t11)) % 1.13/1.32 (define @t426 () (tptp.class_Rings_Omult__zero @t18)) % 1.13/1.32 (define @t427 () (@var "V_e" $$unsorted)) % 1.13/1.32 (define @t428 () (tptp.hAPP @t286 @t23)) % 1.13/1.32 (define @t429 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t64 @t12)) % 1.13/1.32 (define @t430 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t64)) % 1.13/1.32 (define @t431 () (or (and @t203 @t430) (and @t207 @t429))) % 1.13/1.32 (define @t432 () (or (and @t203 @t429) (and @t207 @t430))) % 1.13/1.32 (define @t433 () (@var "V_b_H" $$unsorted)) % 1.13/1.32 (define @t434 () (tptp.hAPP @t286 @t433)) % 1.13/1.32 (define @t435 () (tptp.class_RealVector_Oreal__normed__algebra @t18)) % 1.13/1.32 (define @t436 () (@list @t433 @t166 @t23 @t18)) % 1.13/1.32 (define @t437 () (@var "V_xa" $$unsorted)) % 1.13/1.32 (define @t438 () (tptp.hAPP @t283 @t437)) % 1.13/1.32 (define @t439 () (tptp.hAPP @t438 @t135)) % 1.13/1.32 (define @t440 () (tptp.hAPP @t438 @t37)) % 1.13/1.32 (define @t441 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t37 @t135)) % 1.13/1.32 (define @t442 () (@list @t135 @t37 @t437 @t18)) % 1.13/1.32 (define @t443 () (@var "V_a_H" $$unsorted)) % 1.13/1.32 (define @t444 () (tptp.hAPP (tptp.hAPP @t283 @t443) @t166)) % 1.13/1.32 (define @t445 () (@list @t166 @t443 @t23 @t18)) % 1.13/1.32 (define @t446 () (@var "V_ya" $$unsorted)) % 1.13/1.32 (define @t447 () (tptp.hAPP @t339 @t446)) % 1.13/1.32 (define @t448 () (tptp.hAPP @t325 @t446)) % 1.13/1.32 (define @t449 () (@list @t446 @t135 @t37 @t18)) % 1.13/1.32 (define @t450 () (@list @t135 @t18)) % 1.13/1.32 (define @t451 () (tptp.hAPP @t407 @t108)) % 1.13/1.32 (define @t452 () (@var "V_u" $$unsorted)) % 1.13/1.32 (define @t453 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t151 @t149)) % 1.13/1.32 (define @t454 () (tptp.hAPP @t411 @t452)) % 1.13/1.32 (define @t455 () (tptp.hAPP @t413 @t452)) % 1.13/1.32 (define @t456 () (tptp.c_Polynomial_Ocoeff @t18 @t113)) % 1.13/1.32 (define @t457 () (tptp.hAPP @t456 @t232)) % 1.13/1.32 (define @t458 () (tptp.c_Polynomial_Ocoeff @t18 @t17)) % 1.13/1.32 (define @t459 () (tptp.hAPP @t458 @t19)) % 1.13/1.32 (define @t460 () (@var "V_v" $$unsorted)) % 1.13/1.32 (define @t461 () (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP (tptp.hAPP @t283 @t452) @t37) (tptp.hAPP (tptp.hAPP @t283 @t460) @t135))) % 1.13/1.32 (define @t462 () (tptp.c_Groups_Oone__class_Oone @t18)) % 1.13/1.32 (define @t463 () (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t452 @t460) @t462)) % 1.13/1.32 (define @t464 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t460)) % 1.13/1.32 (define @t465 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t452)) % 1.13/1.32 (define @t466 () (@list @t460 @t452 @t135 @t23 @t37 @t18)) % 1.13/1.32 (define @t467 () (@var "V_n_H_2" $$unsorted)) % 1.13/1.32 (define @t468 () (tptp.c_Polynomial_OpCons @t18 @t462 @t48)) % 1.13/1.32 (define @t469 () (tptp.class_Rings_Ocomm__ring__1 @t18)) % 1.13/1.32 (define @t470 () (tptp.c_Power_Opower__class_Opower @t18)) % 1.13/1.32 (define @t471 () (tptp.hAPP @t470 @t37)) % 1.13/1.32 (define @t472 () (tptp.hAPP @t471 @t39)) % 1.13/1.32 (define @t473 () (tptp.c_Groups_Oone__class_Oone @t11)) % 1.13/1.32 (define @t474 () (= @t13 @t473)) % 1.13/1.32 (define @t475 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t462)) % 1.13/1.32 (define @t476 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t37)) % 1.13/1.32 (define @t477 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.13/1.32 (define @t478 () (tptp.class_Groups_Oab__group__add @t11)) % 1.13/1.32 (define @t479 () (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t17)) % 1.13/1.32 (define @t480 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t23)) % 1.13/1.32 (define @t481 () (tptp.class_Groups_Oab__group__add @t18)) % 1.13/1.32 (define @t482 () (tptp.class_Rings_Ocomm__ring @t18)) % 1.13/1.32 (define @t483 () (tptp.c_Power_Opower__class_Opower @t47)) % 1.13/1.32 (define @t484 () (tptp.hAPP (tptp.hAPP @t483 @t17) @t39)) % 1.13/1.32 (define @t485 () (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t24)) % 1.13/1.32 (define @t486 () (tptp.c_Groups_Oone__class_Oone @t47)) % 1.13/1.32 (define @t487 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t486) @t39)) % 1.13/1.32 (define @t488 () (not @t238)) % 1.13/1.32 (define @t489 () (tptp.hAPP (tptp.hAPP @t483 (tptp.c_Polynomial_OpCons @t18 @t23 @t468)) @t39)) % 1.13/1.32 (define @t490 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t64)) % 1.13/1.32 (define @t491 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t65)) % 1.13/1.32 (define @t492 () (tptp.class_Groups_Ogroup__add @t11)) % 1.13/1.32 (define @t493 () (tptp.hAPP @t458 @t39)) % 1.13/1.32 (define @t494 () (@list @t39 @t17 @t18)) % 1.13/1.32 (define @t495 () (= @t65 @t490)) % 1.13/1.32 (define @t496 () (tptp.c_Polynomial_Ocoeff @t11 @t53)) % 1.13/1.32 (define @t497 () (tptp.class_Groups_Ogroup__add @t18)) % 1.13/1.32 (define @t498 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t166)) % 1.13/1.32 (define @t499 () (tptp.class_Groups_Oordered__ab__group__add @t11)) % 1.13/1.32 (define @t500 () (tptp.hAPP @t283 @t480)) % 1.13/1.32 (define @t501 () (tptp.class_Rings_Oring @t18)) % 1.13/1.32 (define @t502 () (tptp.hAPP @t286 @t498)) % 1.13/1.32 (define @t503 () (tptp.hAPP @t500 @t166)) % 1.13/1.32 (define @t504 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t287)) % 1.13/1.32 (define @t505 () (tptp.hAPP @t470 @t135)) % 1.13/1.32 (define @t506 () (tptp.hAPP @t471 @t113)) % 1.13/1.32 (define @t507 () (tptp.hAPP @t283 @t506)) % 1.13/1.32 (define @t508 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t180)) % 1.13/1.32 (define @t509 () (tptp.class_Rings_Ozero__neq__one @t18)) % 1.13/1.32 (define @t510 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.13/1.32 (define @t511 () (tptp.hAPP @t510 @t37)) % 1.13/1.32 (define @t512 () (tptp.hAPP @t511 @t135)) % 1.13/1.32 (define @t513 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.13/1.32 (define @t514 () (= (tptp.hAPP (tptp.hAPP @t283 @t462) @t23) @t23)) % 1.13/1.32 (define @t515 () (= (tptp.hAPP @t286 @t462) @t23)) % 1.13/1.32 (define @t516 () (tptp.class_Groups_Ocomm__monoid__mult @t18)) % 1.13/1.32 (define @t517 () (tptp.class_Groups_Omonoid__mult @t18)) % 1.13/1.32 (define @t518 () (tptp.hAPP @t389 @t17)) % 1.13/1.32 (define @t519 () (tptp.hAPP @t471 @t17)) % 1.13/1.32 (define @t520 () (@list @t113 @t17 @t37 @t18)) % 1.13/1.32 (define @t521 () (= @t67 @t477)) % 1.13/1.32 (define @t522 () (= @t126 @t477)) % 1.13/1.32 (define @t523 () (and @t522 @t521)) % 1.13/1.32 (define @t524 () (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t480 @t23) @t26)) % 1.13/1.32 (define @t525 () (tptp.hAPP @t471 (tptp.c_Nat_OSuc @t113))) % 1.13/1.32 (define @t526 () (@list @t113 @t37 @t18)) % 1.13/1.32 (define @t527 () (tptp.hAPP @t325 @t506)) % 1.13/1.32 (define @t528 () (tptp.class_Rings_Olinordered__semidom @t18)) % 1.13/1.32 (define @t529 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 @t462)) % 1.13/1.32 (define @t530 () (tptp.hAPP (tptp.hAPP @t283 @t529) @t108)) % 1.13/1.32 (define @t531 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t462 @t462)) % 1.13/1.32 (define @t532 () (tptp.c_Polynomial_Ocoeff @t18 @t71)) % 1.13/1.32 (define @t533 () (@list @t39 @t17 @t23 @t18)) % 1.13/1.32 (define @t534 () (= @t108 @t29)) % 1.13/1.32 (define @t535 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t329) @t39)) % 1.13/1.32 (define @t536 () (not @t148)) % 1.13/1.32 (define @t537 () (@list @t23 @t39 @t108 @t18)) % 1.13/1.32 (define @t538 () (tptp.hAPP @t456 @t39)) % 1.13/1.32 (define @t539 () (@list @t39 @t113 @t17 @t18)) % 1.13/1.32 (define @t540 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t135 @t462)) % 1.13/1.32 (define @t541 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t135)) % 1.13/1.32 (define @t542 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t37)) % 1.13/1.32 (define @t543 () (tptp.class_Rings_Olinordered__idom @t18)) % 1.13/1.32 (define @t544 () (= @t493 @t26)) % 1.13/1.32 (define @t545 () (tptp.hAPP @t470 @t23)) % 1.13/1.32 (define @t546 () (tptp.hAPP @t545 @t39)) % 1.13/1.32 (define @t547 () (@var "V_N" $$unsorted)) % 1.13/1.32 (define @t548 () (tptp.hAPP @t545 @t547)) % 1.13/1.32 (define @t549 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t547)) % 1.13/1.32 (define @t550 () (@list @t23 @t547 @t39 @t18)) % 1.13/1.32 (define @t551 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t212)) % 1.13/1.32 (define @t552 () (tptp.c_Nat_OSuc @t116)) % 1.13/1.32 (define @t553 () (tptp.c_Power_Opower__class_Opower @t11)) % 1.13/1.32 (define @t554 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t462 @t23)) % 1.13/1.32 (define @t555 () (tptp.class_Rings_Oring__1 @t18)) % 1.13/1.32 (define @t556 () (tptp.hAPP @t470 @t26)) % 1.13/1.32 (define @t557 () (tptp.hAPP @t556 @t39)) % 1.13/1.32 (define @t558 () (tptp.class_Power_Opower @t18)) % 1.13/1.32 (define @t559 () (and @t558 (tptp.class_Rings_Osemiring__0 @t18))) % 1.13/1.32 (define @t560 () (@var "V_w" $$unsorted)) % 1.13/1.32 (define @t561 () (tptp.hAPP @t513 @t134)) % 1.13/1.32 (define @t562 () (tptp.hAPP @t561 @t560)) % 1.13/1.32 (define @t563 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t134)) % 1.13/1.32 (define @t564 () (@list @t560 @t134)) % 1.13/1.32 (define @t565 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.13/1.32 (define @t566 () (@list @t134)) % 1.13/1.32 (define @t567 () (tptp.hAPP @t513 @t560)) % 1.13/1.32 (define @t568 () (@var "V_z3" $$unsorted)) % 1.13/1.32 (define @t569 () (@var "V_z2" $$unsorted)) % 1.13/1.32 (define @t570 () (tptp.hAPP @t513 @t569)) % 1.13/1.32 (define @t571 () (@var "V_z1" $$unsorted)) % 1.13/1.32 (define @t572 () (tptp.hAPP @t513 @t571)) % 1.13/1.32 (define @t573 () (@list @t568 @t569 @t571)) % 1.13/1.32 (define @t574 () (tptp.hAPP @t570 @t560)) % 1.13/1.32 (define @t575 () (tptp.hAPP @t572 @t560)) % 1.13/1.32 (define @t576 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t571 @t569)) % 1.13/1.32 (define @t577 () (@list @t560 @t569 @t571)) % 1.13/1.32 (define @t578 () (tptp.hAPP @t567 @t569)) % 1.13/1.32 (define @t579 () (tptp.hAPP @t567 @t571)) % 1.13/1.32 (define @t580 () (@list @t569 @t571 @t560)) % 1.13/1.32 (define @t581 () (tptp.hAPP @t286 @t546)) % 1.13/1.32 (define @t582 () (tptp.hAPP @t283 @t546)) % 1.13/1.32 (define @t583 () (tptp.hAPP @t582 @t23)) % 1.13/1.32 (define @t584 () (tptp.hAPP @t470 @t166)) % 1.13/1.32 (define @t585 () (tptp.hAPP @t584 @t39)) % 1.13/1.32 (define @t586 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.13/1.32 (define @t587 () (tptp.hAPP @t586 @t13)) % 1.13/1.32 (define @t588 () (tptp.hAPP @t545 @t108)) % 1.13/1.32 (define @t589 () (@list @t39 @t108 @t23 @t18)) % 1.13/1.32 (define @t590 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t13)) % 1.13/1.32 (define @t591 () (not @t239)) % 1.13/1.32 (define @t592 () (tptp.hAPP @t553 @t65)) % 1.13/1.32 (define @t593 () (tptp.hAPP @t592 @t67)) % 1.13/1.32 (define @t594 () (tptp.class_Power_Opower @t11)) % 1.13/1.32 (define @t595 () (tptp.hAPP @t545 @t107)) % 1.13/1.32 (define @t596 () (tptp.hAPP @t586 @t151)) % 1.13/1.32 (define @t597 () (tptp.hAPP @t596 @t39)) % 1.13/1.32 (define @t598 () (@list @t39 @t151)) % 1.13/1.32 (define @t599 () (tptp.hAPP @t584 @t107)) % 1.13/1.32 (define @t600 () (tptp.hAPP @t483 (tptp.c_Polynomial_OpCons @t18 @t480 @t468))) % 1.13/1.32 (define @t601 () (not (tptp.c_Rings_Odvd__class_Odvd @t47 (tptp.hAPP @t600 (tptp.c_Nat_OSuc @t120)) @t17))) % 1.13/1.32 (define @t602 () (tptp.c_Rings_Odvd__class_Odvd @t47 (tptp.hAPP @t600 @t120) @t17)) % 1.13/1.32 (define @t603 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t135)) % 1.13/1.32 (define @t604 () (tptp.class_Lattices_Oboolean__algebra @t18)) % 1.13/1.32 (define @t605 () (tptp.class_Lattices_Oboolean__algebra @t11)) % 1.13/1.32 (define @t606 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.13/1.32 (define @t607 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t565 @t134)) % 1.13/1.32 (define @t608 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t560)) % 1.13/1.32 (define @t609 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t134 @t560)) % 1.13/1.32 (define @t610 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t37 @t135)) % 1.13/1.32 (define @t611 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t23 @t285)) % 1.13/1.32 (define @t612 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t23 @t166)) % 1.13/1.32 (define @t613 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t23 @t45)) % 1.13/1.32 (define @t614 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t287 @t45)) % 1.13/1.32 (define @t615 () (tptp.c_Rings_Odvd__class_Odvd @t18 @t166 @t45)) % 1.13/1.32 (define @t616 () (tptp.c_Rings_Odvd__class_Odvd @t11 @t13 @t212)) % 1.13/1.32 (define @t617 () (tptp.class_Rings_Ocomm__ring__1 @t11)) % 1.13/1.32 (define @t618 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t560 @t134)) % 1.13/1.32 (define @t619 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t151 @t149)) % 1.13/1.32 (define @t620 () (tptp.c_Rings_Odvd__class_Odvd @t47 @t17 @t258)) % 1.13/1.32 (define @t621 () (tptp.c_Rings_Odvd__class_Odvd @t47 @t17 @t113)) % 1.13/1.32 (define @t622 () (@list @t23 @t113 @t17 @t18)) % 1.13/1.32 (define @t623 () (tptp.c_Rings_Odvd__class_Odvd @t47 @t24 @t113)) % 1.13/1.32 (define @t624 () (= @t95 @t12)) % 1.13/1.32 (define @t625 () (or @t624 (tptp.c_Rings_Odvd__class_Odvd @t11 @t65 @t64))) % 1.13/1.32 (define @t626 () (tptp.hAPP @t309 @t95)) % 1.13/1.32 (define @t627 () (tptp.hAPP @t626 @t64)) % 1.13/1.32 (define @t628 () (tptp.hAPP @t626 @t65)) % 1.13/1.32 (define @t629 () (tptp.c_Rings_Odvd__class_Odvd @t51 @t53 @t59)) % 1.13/1.32 (define @t630 () (not @t74)) % 1.13/1.32 (define @t631 () (tptp.class_Fields_Ofield @t11)) % 1.13/1.32 (define @t632 () (@list @t59 @t53 @t65 @t11)) % 1.13/1.32 (define @t633 () (tptp.class_Fields_Ofield @t18)) % 1.13/1.32 (define @t634 () (= @t59 @t52)) % 1.13/1.32 (define @t635 () (@var "V_one_2" $$unsorted)) % 1.13/1.32 (define @t636 () (@var "V_times_2" $$unsorted)) % 1.13/1.32 (define @t637 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t11 @t635 @t636) @t65)) % 1.13/1.32 (define @t638 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t18)) % 1.13/1.32 (define @t639 () (@var "V_A_2" $$unsorted)) % 1.13/1.32 (define @t640 () (tptp.hAPP @t639 @t13)) % 1.13/1.32 (define @t641 () (tptp.tc_fun @t86 @t11)) % 1.13/1.32 (define @t642 () (tptp.c_Polynomial_OpCons @t11 @t473 @t52)) % 1.13/1.32 (define @t643 () (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t95)) % 1.13/1.32 (define @t644 () (@var "V_P_2" $$unsorted)) % 1.13/1.32 (define @t645 () (tptp.class_Rings_Odvd @t11)) % 1.13/1.32 (define @t646 () (tptp.c_Polynomial_Opoly__gcd @t18 @t37 @t135)) % 1.13/1.32 (define @t647 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t646) (tptp.c_Polynomial_Odegree @t18 @t646))) % 1.13/1.32 (define @t648 () (= @t135 @t48)) % 1.13/1.32 (define @t649 () (and (= @t37 @t48) @t648)) % 1.13/1.32 (define @t650 () (not @t649)) % 1.13/1.32 (define @t651 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t39)) % 1.13/1.32 (define @t652 () (tptp.c_Groups_Ominus__class_Ominus @t18 @t37 @t135)) % 1.13/1.32 (define @t653 () (tptp.hAPP @t283 @t652)) % 1.13/1.32 (define @t654 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t109 @t107)) % 1.13/1.32 (define @t655 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t39)) % 1.13/1.32 (define @t656 () (tptp.hAPP @t553 @t64)) % 1.13/1.32 (define @t657 () (tptp.hAPP @t656 @t212)) % 1.13/1.32 (define @t658 () (tptp.hAPP @t656 @t13)) % 1.13/1.32 (define @t659 () (tptp.c_Orderings_Oord__class_Oless @t11 @t473 @t64)) % 1.13/1.32 (define @t660 () (tptp.class_Rings_Olinordered__semidom @t11)) % 1.13/1.32 (define @t661 () (@list @t212 @t13 @t64 @t11)) % 1.13/1.32 (define @t662 () (tptp.c_Orderings_Oord__class_Oless @t18 @t462 @t23)) % 1.13/1.32 (define @t663 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t547)) % 1.13/1.32 (define @t664 () (@var "V_t_2" $$unsorted)) % 1.13/1.32 (define @t665 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t320 @t664)) % 1.13/1.32 (define @t666 () (@list @t664 @t320)) % 1.13/1.32 (define @t667 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t308 @t87)) % 1.13/1.32 (define @t668 () (@list @t87 @t308)) % 1.13/1.32 (define @t669 () (@list @t87)) % 1.13/1.32 (define @t670 () (tptp.hAPP @t513 @t142)) % 1.13/1.32 (define @t671 () (tptp.hAPP @t670 @t126)) % 1.13/1.32 (define @t672 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t108 @t39)) % 1.13/1.32 (define @t673 () (tptp.hAPP @t513 @t138)) % 1.13/1.32 (define @t674 () (@var "V_e_2" $$unsorted)) % 1.13/1.32 (define @t675 () (tptp.c_Groups_Ominus__class_Ominus @t11 @t65 @t64)) % 1.13/1.32 (define @t676 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP (tptp.hAPP @t309 @t675) @t674) @t95)) % 1.13/1.32 (define @t677 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t318 @t674) @t320)) % 1.13/1.32 (define @t678 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t321 @t674) @t95)) % 1.13/1.32 (define @t679 () (tptp.c_Orderings_Oord__class_Oless @t11 @t678 @t677)) % 1.13/1.32 (define @t680 () (tptp.class_Rings_Oordered__ring @t11)) % 1.13/1.32 (define @t681 () (@list @t320 @t64 @t95 @t674 @t65 @t11)) % 1.13/1.32 (define @t682 () (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP (tptp.hAPP @t309 (tptp.c_Groups_Ominus__class_Ominus @t11 @t64 @t65)) @t674) @t320)) % 1.13/1.32 (define @t683 () (@var "B_d" $$unsorted)) % 1.13/1.32 (define @t684 () (tptp.hBOOL (tptp.hAPP @t644 @t683))) % 1.13/1.32 (define @t685 () (= @t65 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t64 @t683))) % 1.13/1.32 (define @t686 () (@list @t683)) % 1.13/1.32 (define @t687 () (tptp.hBOOL (tptp.hAPP @t644 @t29))) % 1.13/1.32 (define @t688 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t64)) % 1.13/1.32 (define @t689 () (tptp.hBOOL (tptp.hAPP @t644 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t65 @t64)))) % 1.13/1.32 (define @t690 () (@list @t64 @t65 @t644)) % 1.13/1.32 (define @t691 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t39)) % 1.13/1.32 (define @t692 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t138 @t39)) % 1.13/1.32 (define @t693 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t108 @t39)) % 1.13/1.32 (define @t694 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t138)) % 1.13/1.32 (define @t695 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t126 @t67)) % 1.13/1.32 (define @t696 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t396 @t395)) % 1.13/1.32 (define @t697 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t142)) % 1.13/1.32 (define @t698 () (tptp.c_Groups_Ominus__class_Ominus @t18 @t23 @t166)) % 1.13/1.32 (define @t699 () (tptp.c_Orderings_Oord__class_Oless @t11 @t65 @t64)) % 1.13/1.32 (define @t700 () (tptp.c_Orderings_Oord__class_Oless @t18 @t174 @t173)) % 1.13/1.32 (define @t701 () (tptp.c_Orderings_Oord__class_Oless @t18 @t23 @t166)) % 1.13/1.32 (define @t702 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t18)) % 1.13/1.32 (define @t703 () (tptp.c_Orderings_Oord__class_Oless @t18 @t169 @t168)) % 1.13/1.32 (define @t704 () (tptp.c_Orderings_Oord__class_Oless @t18 @t174 @t184)) % 1.13/1.32 (define @t705 () (tptp.c_Orderings_Oord__class_Oless @t18 @t45 @t183)) % 1.13/1.32 (define @t706 () (=> @t705 @t704)) % 1.13/1.32 (define @t707 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t39)) % 1.13/1.32 (define @t708 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t138 @t39)) % 1.13/1.32 (define @t709 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t138 @t108)) % 1.13/1.32 (define @t710 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t151 @t149)) % 1.13/1.32 (define @t711 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t710 @t138)) % 1.13/1.32 (define @t712 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t151 @t149)) % 1.13/1.32 (define @t713 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t39 @t108)) % 1.13/1.32 (define @t714 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t39 @t108)) % 1.13/1.32 (define @t715 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t108)) % 1.13/1.32 (define @t716 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t39 @t707) @t108)) % 1.13/1.32 (define @t717 () (not @t655)) % 1.13/1.32 (define @t718 () (@var "V_j_2" $$unsorted)) % 1.13/1.32 (define @t719 () (@var "V_i_2" $$unsorted)) % 1.13/1.32 (define @t720 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t719 @t142)) % 1.13/1.32 (define @t721 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t718 @t142)) % 1.13/1.32 (define @t722 () (@list @t142 @t718 @t719)) % 1.13/1.32 (define @t723 () (@var "V_B_2" $$unsorted)) % 1.13/1.32 (define @t724 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t138 @t108)) % 1.13/1.32 (define @t725 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t138 @t707)) % 1.13/1.32 (define @t726 () (@var "V_z_H" $$unsorted)) % 1.13/1.32 (define @t727 () (@var "V_w_H" $$unsorted)) % 1.13/1.32 (define @t728 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t158 @t108)) % 1.13/1.32 (define @t729 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t158 @t39)) % 1.13/1.32 (define @t730 () (@list @t158 @t39 @t108)) % 1.13/1.32 (define @t731 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t67 @t142)) % 1.13/1.32 (define @t732 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t126 @t142)) % 1.13/1.32 (define @t733 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t142 @t67)) % 1.13/1.32 (define @t734 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t142 @t126)) % 1.13/1.32 (define @t735 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t571 @t569)) % 1.13/1.32 (define @t736 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t67)) % 1.13/1.32 (define @t737 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t250)) % 1.13/1.32 (define @t738 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t126 @t67)) % 1.13/1.32 (define @t739 () (or @t738 @t141)) % 1.13/1.32 (define @t740 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t126 @t248)) % 1.13/1.32 (define @t741 () (= @t737 (= @t67 @t126))) % 1.13/1.32 (define @t742 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t126)) % 1.13/1.32 (define @t743 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t108)) % 1.13/1.32 (define @t744 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t107)) % 1.13/1.32 (define @t745 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t109 @t39)) % 1.13/1.32 (define @t746 () (tptp.c_Nat_OSuc @t151)) % 1.13/1.32 (define @t747 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t149 @t138)) % 1.13/1.32 (define @t748 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t151 @t149)) % 1.13/1.32 (define @t749 () (@list @t126)) % 1.13/1.32 (define @t750 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t149 @t151)) % 1.13/1.32 (define @t751 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t138 @t158)) % 1.13/1.32 (define @t752 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t136)) % 1.13/1.32 (define @t753 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t135)) % 1.13/1.32 (define @t754 () (not @t141)) % 1.13/1.32 (define @t755 () (tptp.c_Groups_Ominus__class_Ominus @t47 @t17 @t113)) % 1.13/1.32 (define @t756 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t560 @t134)) % 1.13/1.32 (define @t757 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t134 @t560)) % 1.13/1.32 (define @t758 () (@list @t45 @t166 @t23)) % 1.13/1.32 (define @t759 () (tptp.c_Orderings_Oord__class_Oless @t18 @t135 @t37)) % 1.13/1.32 (define @t760 () (tptp.c_Orderings_Oord__class_Oless @t18 @t37 @t135)) % 1.13/1.32 (define @t761 () (not @t760)) % 1.13/1.32 (define @t762 () (not @t265)) % 1.13/1.32 (define @t763 () (=> @t762 (=> @t761 @t759))) % 1.13/1.32 (define @t764 () (@var "V_t" $$unsorted)) % 1.13/1.32 (define @t765 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t644 @t67) @t126))) % 1.13/1.32 (define @t766 () (tptp.c_Polynomial_Opoly__gcd @t18 @t23 @t166)) % 1.13/1.32 (define @t767 () (tptp.c_Polynomial_Opoly__gcd @t18 @t23 (tptp.c_Polynomial_Opoly__gcd @t18 @t166 @t45))) % 1.13/1.32 (define @t768 () (= @t675 (tptp.c_Groups_Ominus__class_Ominus @t11 @t95 @t320))) % 1.13/1.32 (define @t769 () (tptp.c_Polynomial_Odegree @t18 @t755)) % 1.13/1.32 (define @t770 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t39)) % 1.13/1.32 (define @t771 () (tptp.c_Orderings_Oord__class_Oless @t11 @t212 @t13)) % 1.13/1.32 (define @t772 () (tptp.c_Orderings_Oord__class_Oless @t11 @t13 @t212)) % 1.13/1.32 (define @t773 () (not @t358)) % 1.13/1.32 (define @t774 () (tptp.class_Orderings_Olinorder @t11)) % 1.13/1.32 (define @t775 () (not @t772)) % 1.13/1.32 (define @t776 () (= @t775 @t358)) % 1.13/1.32 (define @t777 () (not (= @t135 @t37))) % 1.13/1.32 (define @t778 () (tptp.c_Orderings_Oord__class_Oless @t18 @t166 @t23)) % 1.13/1.32 (define @t779 () (@list @t23 @t166 @t18)) % 1.13/1.32 (define @t780 () (tptp.c_Orderings_Oord__class_Oless @t18 @t23 @t45)) % 1.13/1.32 (define @t781 () (tptp.c_Orderings_Oord__class_Oless @t18 @t166 @t45)) % 1.13/1.32 (define @t782 () (tptp.c_Orderings_Oord__class_Oless @t18 @t45 @t23)) % 1.13/1.32 (define @t783 () (tptp.c_Orderings_Oord__class_Oless @t18 @t37 @t134)) % 1.13/1.32 (define @t784 () (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t135 @t134) @t783)) % 1.13/1.32 (define @t785 () (tptp.c_Orderings_Oord__class_Oless @t18 @t134 @t37)) % 1.13/1.32 (define @t786 () (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t134 @t135) @t785)) % 1.13/1.32 (define @t787 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t109 @t39)) % 1.13/1.32 (define @t788 () (= @t707 @t29)) % 1.13/1.32 (define @t789 () (not @t331)) % 1.13/1.32 (define @t790 () (= @t675 @t12)) % 1.13/1.32 (define @t791 () (tptp.c_Orderings_Oord__class_Oless @t18 @t23 @t462)) % 1.13/1.32 (define @t792 () (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t23)) % 1.13/1.32 (define @t793 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t39 @t477)) % 1.13/1.32 (define @t794 () (tptp.c_Nat_OSuc @t793)) % 1.13/1.32 (define @t795 () (= @t212 @t52)) % 1.13/1.32 (define @t796 () (tptp.c_Polynomial_Opoly__gcd @t11 @t13 @t212)) % 1.13/1.32 (define @t797 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t126)) % 1.13/1.32 (define @t798 () (@var "V_u_2" $$unsorted)) % 1.13/1.32 (define @t799 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t718 @t719)) % 1.13/1.32 (define @t800 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t389 @t799) @t798) @t67)) % 1.13/1.32 (define @t801 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t389 @t718) @t798) @t67)) % 1.13/1.32 (define @t802 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t389 @t719) @t798) @t126)) % 1.13/1.32 (define @t803 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t802 @t801)) % 1.13/1.32 (define @t804 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t719 @t718)) % 1.13/1.32 (define @t805 () (@list @t67 @t126 @t798 @t718 @t719)) % 1.13/1.32 (define @t806 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t389 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t719 @t718)) @t798) @t126)) % 1.13/1.32 (define @t807 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t718 @t719)) % 1.13/1.32 (define @t808 () (@list @t67 @t126 @t798 @t719 @t718)) % 1.13/1.32 (define @t809 () (tptp.hAPP @t596 @t108)) % 1.13/1.32 (define @t810 () (@list @t39 @t108 @t151)) % 1.13/1.32 (define @t811 () (tptp.c_Orderings_Oord__class_Oless @t18 @t546 @t585)) % 1.13/1.32 (define @t812 () (@list @t37 @t39 @t18)) % 1.13/1.32 (define @t813 () (tptp.hAPP @t283 (tptp.c_Groups_Ominus__class_Ominus @t18 @t37 @t23))) % 1.13/1.32 (define @t814 () (tptp.hAPP @t813 @t166)) % 1.13/1.32 (define @t815 () (tptp.c_Groups_Ominus__class_Ominus @t18 @t135 @t166)) % 1.13/1.32 (define @t816 () (tptp.c_Groups_Ominus__class_Ominus @t18 @t327 @t287)) % 1.13/1.32 (define @t817 () (@list @t166 @t23 @t135 @t37 @t18)) % 1.13/1.32 (define @t818 () (= @t678 @t677)) % 1.13/1.32 (define @t819 () (tptp.class_Rings_Oring @t11)) % 1.13/1.32 (define @t820 () (@var "V_D_2" $$unsorted)) % 1.13/1.32 (define @t821 () (= @t698 (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 @t498))) % 1.13/1.32 (define @t822 () (tptp.c_Orderings_Oord__class_Oless @t18 @t382 @t381)) % 1.13/1.32 (define @t823 () (tptp.c_Orderings_Oord__class_Oless @t18 @t45 @t26)) % 1.13/1.32 (define @t824 () (tptp.class_Rings_Olinordered__ring__strict @t18)) % 1.13/1.32 (define @t825 () (tptp.c_Orderings_Oord__class_Oless @t18 @t316 @t285)) % 1.13/1.32 (define @t826 () (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t45)) % 1.13/1.32 (define @t827 () (=> @t701 (=> @t826 @t822))) % 1.13/1.32 (define @t828 () (tptp.class_Rings_Olinordered__semiring__strict @t18)) % 1.13/1.32 (define @t829 () (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t287)) % 1.13/1.32 (define @t830 () (tptp.c_Orderings_Oord__class_Oless @t18 @t166 @t26)) % 1.13/1.32 (define @t831 () (tptp.c_Orderings_Oord__class_Oless @t18 @t23 @t26)) % 1.13/1.32 (define @t832 () (tptp.c_Orderings_Oord__class_Oless @t18 @t287 @t26)) % 1.13/1.32 (define @t833 () (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t166)) % 1.13/1.32 (define @t834 () (tptp.c_Orderings_Oord__class_Oless @t11 @t64 @t65)) % 1.13/1.32 (define @t835 () (tptp.c_Orderings_Oord__class_Oless @t11 @t628 @t627)) % 1.13/1.32 (define @t836 () (tptp.c_Orderings_Oord__class_Oless @t11 @t95 @t12)) % 1.13/1.32 (define @t837 () (=> @t792 @t833)) % 1.13/1.32 (define @t838 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t95)) % 1.13/1.32 (define @t839 () (or (and @t838 @t699) (and @t836 @t834))) % 1.13/1.32 (define @t840 () (tptp.c_Orderings_Oord__class_Oless @t11 @t65 @t12)) % 1.13/1.32 (define @t841 () (= (tptp.c_Orderings_Oord__class_Oless @t11 @t204 @t12) @t840)) % 1.13/1.32 (define @t842 () (tptp.class_Rings_Olinordered__idom @t11)) % 1.13/1.32 (define @t843 () (tptp.c_Orderings_Oord__class_Oless @t18 @t180 @t26)) % 1.13/1.32 (define @t844 () (=> @t830 @t843)) % 1.13/1.32 (define @t845 () (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t180)) % 1.13/1.32 (define @t846 () (=> @t833 @t845)) % 1.13/1.32 (define @t847 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t65)) % 1.13/1.32 (define @t848 () (tptp.c_Orderings_Oord__class_Oless @t18 @t166 @t174)) % 1.13/1.32 (define @t849 () (=> @t781 @t848)) % 1.13/1.32 (define @t850 () (tptp.hAPP @t283 @t108)) % 1.13/1.32 (define @t851 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t149 @t138)) % 1.13/1.32 (define @t852 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t851 @t151)) % 1.13/1.32 (define @t853 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t750 @t138)) % 1.13/1.32 (define @t854 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t138 @t149)) % 1.13/1.32 (define @t855 () (@list @t151 @t149 @t138)) % 1.13/1.32 (define @t856 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t151 @t851)) % 1.13/1.32 (define @t857 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t453 @t138)) % 1.13/1.32 (define @t858 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t477)) % 1.13/1.32 (define @t859 () (@var "B_m" $$unsorted)) % 1.13/1.32 (define @t860 () (@var "B_j" $$unsorted)) % 1.13/1.32 (define @t861 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t134 @t560)) % 1.13/1.32 (define @t862 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t134 @t608)) % 1.13/1.32 (define @t863 () (@list @t108 @t151)) % 1.13/1.32 (define @t864 () (and @t697 @t738)) % 1.13/1.32 (define @t865 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t396 @t395)) % 1.13/1.32 (define @t866 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t308 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t87 @t565))) % 1.13/1.32 (define @t867 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t13)) % 1.13/1.32 (define @t868 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 (tptp.hAPP @t587 @t67))) % 1.13/1.32 (define @t869 () (@list @t67 @t13)) % 1.13/1.32 (define @t870 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t678 @t677)) % 1.13/1.32 (define @t871 () (=> @t826 @t167)) % 1.13/1.32 (define @t872 () (=> @t220 @t701)) % 1.13/1.32 (define @t873 () (=> @t822 @t872)) % 1.13/1.32 (define @t874 () (tptp.class_Rings_Olinordered__semiring @t18)) % 1.13/1.32 (define @t875 () (=> @t825 @t872)) % 1.13/1.32 (define @t876 () (tptp.c_Orderings_Oord__class_Oless @t18 @t316 @t377)) % 1.13/1.32 (define @t877 () (=> @t220 @t876)) % 1.13/1.32 (define @t878 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t628 @t627)) % 1.13/1.32 (define @t879 () (not @t213)) % 1.13/1.32 (define @t880 () (tptp.c_Nat_OSuc @t149)) % 1.13/1.32 (define @t881 () (tptp.c_Nat_OSuc @t851)) % 1.13/1.32 (define @t882 () (@list @t108 @t149 @t138)) % 1.13/1.32 (define @t883 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t802 @t801)) % 1.13/1.32 (define @t884 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t455 @t108) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t454 @t39))) % 1.13/1.32 (define @t885 () (= @t802 @t801)) % 1.13/1.32 (define @t886 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t116 @t108)) % 1.13/1.32 (define @t887 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t116 @t39)) % 1.13/1.32 (define @t888 () (=> @t697 @t129)) % 1.13/1.32 (define @t889 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t396 @t395)) % 1.13/1.32 (define @t890 () (not @t534)) % 1.13/1.32 (define @t891 () (tptp.hAPP @t586 @t17)) % 1.13/1.32 (define @t892 () (tptp.hAPP @t891 @t108)) % 1.13/1.32 (define @t893 () (= @t23 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t114 (tptp.hAPP (tptp.hAPP @t513 @t23) @t113)))) % 1.13/1.32 (define @t894 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t606 @t23)) % 1.13/1.32 (define @t895 () (@list @t113 @t114 @t23)) % 1.13/1.32 (define @t896 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 @t114)) % 1.13/1.32 (define @t897 () (tptp.hAPP @t470 @t108)) % 1.13/1.32 (define @t898 () (tptp.hAPP @t897 @t39)) % 1.13/1.32 (define @t899 () (@var "V_q_H" $$unsorted)) % 1.13/1.32 (define @t900 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t606 @t433)) % 1.13/1.32 (define @t901 () (@var "V_r_H" $$unsorted)) % 1.13/1.32 (define @t902 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t901 @t433)) % 1.13/1.32 (define @t903 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t513 @t433) @t899) @t901)) % 1.13/1.32 (define @t904 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 @t903)) % 1.13/1.32 (define @t905 () (@list @t901 @t899 @t433)) % 1.13/1.32 (define @t906 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t37 @t135)) % 1.13/1.32 (define @t907 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t135 @t37)) % 1.13/1.32 (define @t908 () (and @t906 (not @t907))) % 1.13/1.32 (define @t909 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t37 @t134)) % 1.13/1.32 (define @t910 () (and @t909 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t134 @t37)))) % 1.13/1.32 (define @t911 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t135 @t134)) % 1.13/1.32 (define @t912 () (=> (and @t911 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t134 @t135))) @t910)) % 1.13/1.32 (define @t913 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t23 @t166)) % 1.13/1.32 (define @t914 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t166 @t23)) % 1.13/1.32 (define @t915 () (and @t913 (not @t914))) % 1.13/1.32 (define @t916 () (@list @t166 @t23)) % 1.13/1.32 (define @t917 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t23 @t45)) % 1.13/1.32 (define @t918 () (and @t917 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t45 @t23)))) % 1.13/1.32 (define @t919 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t166 @t45)) % 1.13/1.32 (define @t920 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t13 @t212)) % 1.13/1.32 (define @t921 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t212 @t13)) % 1.13/1.32 (define @t922 () (and @t920 (not @t921))) % 1.13/1.32 (define @t923 () (@list @t212 @t13)) % 1.13/1.32 (define @t924 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t899 @t113)) % 1.13/1.32 (define @t925 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t433 @t166)) % 1.13/1.32 (define @t926 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 @t901)) % 1.13/1.32 (define @t927 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t114 @t166)) % 1.13/1.32 (define @t928 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t903 @t606)) % 1.13/1.32 (define @t929 () (tptp.hAPP @t513 @t166)) % 1.13/1.32 (define @t930 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t929 @t113) @t114)) % 1.13/1.32 (define @t931 () (= @t930 @t903)) % 1.13/1.32 (define @t932 () (@list @t901 @t899 @t433 @t114 @t113 @t166)) % 1.13/1.32 (define @t933 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t113 @t899)) % 1.13/1.32 (define @t934 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t929 @t899) @t901) @t930)) % 1.13/1.32 (define @t935 () (@list @t114 @t113 @t901 @t899 @t166)) % 1.13/1.32 (define @t936 () (@list @t166 @t39 @t23)) % 1.13/1.32 (define @t937 () (@list @t64 @t65 @t67)) % 1.13/1.32 (define @t938 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 @t37)) % 1.13/1.32 (define @t939 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 @t135)) % 1.13/1.32 (define @t940 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t183) (tptp.c_Polynomial_Odegree @t18 @t183))) % 1.13/1.32 (define @t941 () (@var "V_r_2" $$unsorted)) % 1.13/1.32 (define @t942 () (= @t941 @t52)) % 1.13/1.32 (define @t943 () (tptp.c_Polynomial_Opdivmod__rel @t18 @t37 @t135 @t113 @t114)) % 1.13/1.32 (define @t944 () (@var "V_q2" $$unsorted)) % 1.13/1.32 (define @t945 () (@var "V_q1" $$unsorted)) % 1.13/1.32 (define @t946 () (= @t945 @t944)) % 1.13/1.32 (define @t947 () (@var "V_r2" $$unsorted)) % 1.13/1.32 (define @t948 () (tptp.c_Polynomial_Opdivmod__rel @t18 @t37 @t135 @t944 @t947)) % 1.13/1.32 (define @t949 () (@var "V_r1" $$unsorted)) % 1.13/1.32 (define @t950 () (tptp.c_Polynomial_Opdivmod__rel @t18 @t37 @t135 @t945 @t949)) % 1.13/1.32 (define @t951 () (@list @t947 @t944 @t949 @t945 @t135 @t37 @t18)) % 1.13/1.32 (define @t952 () (= @t949 @t947)) % 1.13/1.32 (define @t953 () (tptp.hAPP @t278 @t135)) % 1.13/1.32 (define @t954 () (tptp.c_Polynomial_OpCons @t18 @t23 @t114)) % 1.13/1.32 (define @t955 () (tptp.c_Polynomial_Odegree @t18 @t135)) % 1.13/1.32 (define @t956 () (tptp.c_Nat__Transfer_Otsub @t37 @t135)) % 1.13/1.32 (define @t957 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t135 @t37)) % 1.13/1.32 (define @t958 () (=> @t957 (= @t956 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t37 @t135)))) % 1.13/1.32 (define @t959 () (@list @t37 @t135)) % 1.13/1.32 (define @t960 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t23 @t166)) % 1.13/1.32 (define @t961 () (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t960)) % 1.13/1.32 (define @t962 () (tptp.class_Rings_Odivision__ring @t18)) % 1.13/1.32 (define @t963 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t37 @t135)) % 1.13/1.32 (define @t964 () (tptp.class_RealVector_Oreal__normed__field @t18)) % 1.13/1.32 (define @t965 () (tptp.class_Rings_Odivision__ring__inverse__zero @t18)) % 1.13/1.32 (define @t966 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t166 @t45)) % 1.13/1.32 (define @t967 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t23 @t45)) % 1.13/1.32 (define @t968 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t135 @t446)) % 1.13/1.32 (define @t969 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t37 @t446)) % 1.13/1.32 (define @t970 () (= (tptp.hAPP (tptp.hAPP @t470 @t960) @t39) (tptp.c_Rings_Oinverse__class_Odivide @t18 @t546 @t585))) % 1.13/1.32 (define @t971 () (tptp.class_Fields_Ofield__inverse__zero @t18)) % 1.13/1.32 (define @t972 () (= @t961 (tptp.c_Rings_Oinverse__class_Odivide @t18 @t23 @t498))) % 1.13/1.32 (define @t973 () (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t480 @t498) @t960)) % 1.13/1.32 (define @t974 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t23 @t23)) % 1.13/1.32 (define @t975 () (=> @t28 (= @t974 @t462))) % 1.13/1.32 (define @t976 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t65 @t64)) % 1.13/1.32 (define @t977 () (tptp.class_Rings_Odivision__ring @t11)) % 1.13/1.32 (define @t978 () (not (= @t45 @t26))) % 1.13/1.32 (define @t979 () (= @t64 @t322)) % 1.13/1.32 (define @t980 () (tptp.c_Rings_Oinverse__class_Odivide @t11 @t64 @t95)) % 1.13/1.32 (define @t981 () (= @t980 @t65)) % 1.13/1.32 (define @t982 () (not @t624)) % 1.13/1.32 (define @t983 () (@list @t65 @t64 @t95 @t11)) % 1.13/1.32 (define @t984 () (= @t322 @t64)) % 1.13/1.32 (define @t985 () (= @t65 @t980)) % 1.13/1.32 (define @t986 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t45 @t166)) % 1.13/1.32 (define @t987 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t45 @t23)) % 1.13/1.32 (define @t988 () (=> @t829 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t987 @t986))) % 1.13/1.32 (define @t989 () (tptp.class_Fields_Olinordered__field__inverse__zero @t18)) % 1.13/1.32 (define @t990 () (tptp.class_Fields_Olinordered__field @t18)) % 1.13/1.32 (define @t991 () (tptp.class_Fields_Olinordered__field__inverse__zero @t11)) % 1.13/1.32 (define @t992 () (tptp.c_Orderings_Oord__class_Oless @t18 @t967 @t966)) % 1.13/1.32 (define @t993 () (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t963)) % 1.13/1.32 (define @t994 () (tptp.c_Orderings_Oord__class_Oless @t18 @t135 @t26)) % 1.13/1.32 (define @t995 () (tptp.c_Orderings_Oord__class_Oless @t18 @t37 @t26)) % 1.13/1.32 (define @t996 () (tptp.c_Orderings_Oord__class_Oless @t18 @t963 @t26)) % 1.13/1.32 (define @t997 () (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t135)) % 1.13/1.32 (define @t998 () (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t37)) % 1.13/1.32 (define @t999 () (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t64)) % 1.13/1.32 (define @t1000 () (tptp.c_Orderings_Oord__class_Oless @t11 @t64 @t12)) % 1.13/1.32 (define @t1001 () (=> @t624 @t74)) % 1.13/1.32 (define @t1002 () (tptp.class_Fields_Ofield__inverse__zero @t11)) % 1.13/1.32 (define @t1003 () (@list @t65 @t95 @t64 @t11)) % 1.13/1.32 (define @t1004 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t963)) % 1.13/1.32 (define @t1005 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t963 @t26)) % 1.13/1.32 (define @t1006 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t135 @t560)) % 1.13/1.32 (define @t1007 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t37 @t134)) % 1.13/1.32 (define @t1008 () (tptp.c_Orderings_Oord__class_Oless @t18 @t1007 @t1006)) % 1.13/1.32 (define @t1009 () (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t560)) % 1.13/1.32 (define @t1010 () (@list @t134 @t560 @t135 @t37 @t18)) % 1.13/1.32 (define @t1011 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t560 @t134)) % 1.13/1.32 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t37 @t26)) % 1.13/1.32 (define @t1013 () (not @t836)) % 1.13/1.32 (define @t1014 () (tptp.c_Orderings_Oord__class_Oless @t11 @t64 @t322)) % 1.13/1.32 (define @t1015 () (not @t838)) % 1.13/1.32 (define @t1016 () (tptp.c_Orderings_Oord__class_Oless @t11 @t322 @t64)) % 1.13/1.32 (define @t1017 () (tptp.c_Orderings_Oord__class_Oless @t11 @t65 @t980)) % 1.13/1.32 (define @t1018 () (tptp.c_Orderings_Oord__class_Oless @t11 @t980 @t65)) % 1.13/1.32 (define @t1019 () (tptp.class_Fields_Olinordered__field @t11)) % 1.13/1.32 (define @t1020 () (tptp.hAPP @t283 @t134)) % 1.13/1.32 (define @t1021 () (tptp.hAPP @t1020 @t135)) % 1.13/1.32 (define @t1022 () (@list @t37 @t134 @t135 @t18)) % 1.13/1.32 (define @t1023 () (=> @t829 (tptp.c_Orderings_Oord__class_Oless @t18 @t987 @t986))) % 1.13/1.32 (define @t1024 () (tptp.c_Groups_Oplus__class_Oplus @t18 @t37 @t1021)) % 1.13/1.32 (define @t1025 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t1024 @t135)) % 1.13/1.32 (define @t1026 () (not (= @t135 @t26))) % 1.13/1.32 (define @t1027 () (tptp.hAPP @t1020 @t37)) % 1.13/1.32 (define @t1028 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t135 @t134)) % 1.13/1.32 (define @t1029 () (not (= @t134 @t26))) % 1.13/1.32 (define @t1030 () (@list @t135 @t37 @t134 @t18)) % 1.13/1.32 (define @t1031 () (tptp.hAPP @t339 @t134)) % 1.13/1.32 (define @t1032 () (tptp.hAPP (tptp.hAPP @t283 @t560) @t135)) % 1.13/1.32 (define @t1033 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t560 @t134)) % 1.13/1.32 (define @t1034 () (@list @t560 @t37 @t134 @t135 @t18)) % 1.13/1.32 (define @t1035 () (tptp.c_Rings_Oinverse__class_Odivide @t18 @t180 @t531)) % 1.13/1.32 (define @t1036 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t64 @t322)) % 1.13/1.32 (define @t1037 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t322 @t64)) % 1.13/1.32 (define @t1038 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t65 @t980)) % 1.13/1.32 (define @t1039 () (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t980 @t65)) % 1.13/1.32 (define @t1040 () (@var "T" $$unsorted)) % 1.13/1.32 (define @t1041 () (tptp.class_Groups_Ocancel__ab__semigroup__add @t1040)) % 1.13/1.32 (define @t1042 () (tptp.class_Int_Oring__char__0 @t1040)) % 1.13/1.32 (define @t1043 () (@list @t1040)) % 1.13/1.32 (define @t1044 () (tptp.class_Groups_Ocancel__semigroup__add @t1040)) % 1.13/1.32 (define @t1045 () (tptp.class_Groups_Oab__semigroup__add @t1040)) % 1.13/1.32 (define @t1046 () (tptp.class_Groups_Ocomm__monoid__add @t1040)) % 1.13/1.32 (define @t1047 () (tptp.class_Groups_Oab__group__add @t1040)) % 1.13/1.32 (define @t1048 () (tptp.class_Rings_Ozero__neq__one @t1040)) % 1.13/1.32 (define @t1049 () (tptp.class_Groups_Omonoid__mult @t1040)) % 1.13/1.32 (define @t1050 () (tptp.class_Groups_Omonoid__add @t1040)) % 1.13/1.32 (define @t1051 () (tptp.class_Rings_Osemiring__0 @t1040)) % 1.13/1.32 (define @t1052 () (tptp.class_Groups_Ogroup__add @t1040)) % 1.13/1.32 (define @t1053 () (tptp.class_Rings_Omult__zero @t1040)) % 1.13/1.32 (define @t1054 () (tptp.class_Rings_Osemiring @t1040)) % 1.13/1.32 (define @t1055 () (tptp.class_Groups_Ouminus @t1040)) % 1.13/1.32 (define @t1056 () (tptp.class_Rings_Oring__1 @t1040)) % 1.13/1.32 (define @t1057 () (tptp.class_Groups_Ominus @t1040)) % 1.13/1.32 (define @t1058 () (tptp.class_Power_Opower @t1040)) % 1.13/1.32 (define @t1059 () (tptp.class_Groups_Ozero @t1040)) % 1.13/1.32 (define @t1060 () (forall @t1043 (=> @t1042 @t1059))) % 1.13/1.32 (define @t1061 () (tptp.class_Rings_Oring @t1040)) % 1.13/1.32 (define @t1062 () (tptp.class_Groups_Oone @t1040)) % 1.13/1.32 (define @t1063 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1040)) % 1.13/1.32 (define @t1064 () (tptp.class_Rings_Oidom @t1040)) % 1.13/1.32 (define @t1065 () (@var "T_1" $$unsorted)) % 1.13/1.32 (define @t1066 () (tptp.tc_Polynomial_Opoly @t1065)) % 1.13/1.32 (define @t1067 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1065)) % 1.13/1.32 (define @t1068 () (@list @t1065)) % 1.13/1.32 (define @t1069 () (@var "T_2" $$unsorted)) % 1.13/1.32 (define @t1070 () (tptp.tc_fun @t1069 @t1065)) % 1.13/1.32 (define @t1071 () (@list @t1069 @t1065)) % 1.13/1.32 (define @t1072 () (tptp.class_Rings_Oidom @t1065)) % 1.13/1.32 (define @t1073 () (tptp.class_Rings_Olinordered__idom @t1065)) % 1.13/1.32 (define @t1074 () (tptp.class_Rings_Ocomm__semiring__0 @t1065)) % 1.13/1.32 (define @t1075 () (tptp.class_Rings_Ocomm__semiring__1 @t1065)) % 1.13/1.32 (define @t1076 () (tptp.class_Groups_Ocomm__monoid__add @t1065)) % 1.13/1.32 (define @t1077 () (tptp.class_Groups_Oab__group__add @t1065)) % 1.13/1.32 (define @t1078 () (tptp.class_Rings_Ocomm__ring__1 @t1065)) % 1.13/1.32 (define @t1079 () (tptp.class_Rings_Ocomm__ring @t1065)) % 1.13/1.32 (define @t1080 () (tptp.hBOOL (tptp.c_fequal @t13 @t212))) % 1.13/1.32 (define @t1081 () (= @t29 @t82)) % 1.13/1.32 (define @t1082 () (= @t29 @t34)) % 1.13/1.32 (define @t1083 () (tptp.class_Groups_Ozero tptp.t_a)) % 1.13/1.32 (define @t1084 () (not @t1083)) % 1.13/1.32 (define @t1085 () (or @t1084 @t1082)) % 1.13/1.32 (define @t1086 () (not @t9)) % 1.13/1.32 (define @t1087 () (or @t1086 @t1083)) % 1.13/1.32 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.13/1.32 (assume @p2 (=> @t10 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.t_a tptp.t_a @t7))) % 1.13/1.32 (assume @p3 (forall @t16 (=> @t15 (= (= @t12 @t13) @t14)))) % 1.13/1.32 (assume @p4 (forall (@list @t20 @t17 @t18) (=> @t22 (= (tptp.c_Polynomial_Odegree @t18 @t21) @t19)))) % 1.13/1.32 (assume @p5 (forall @t31 (=> @t30 (and (=> @t27 (= @t25 @t29)) (=> @t28 (= @t25 @t19)))))) % 1.13/1.32 (assume @p6 (=> @t10 @t36)) % 1.13/1.32 (assume @p7 (forall @t38 (=> @t10 (= (tptp.hAPP @t7 @t37) @t32)))) % 1.13/1.32 (assume @p8 (forall @t43 (=> @t42 (=> @t28 (= @t41 @t39))))) % 1.13/1.32 (assume @p9 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fTrue) @t29)) % 1.13/1.32 (assume @p10 (= (tptp.c_HOL_Obool_Obool__size tptp.c_fFalse) @t29)) % 1.13/1.32 (assume @p11 (forall (@list @t44) (= (tptp.c_Nat_Osize__class_Osize tptp.tc_String_Oliteral @t44) @t29))) % 1.13/1.32 (assume @p12 (forall @t46 (= (tptp.c_String_Ochar_Ochar__size @t45) @t29))) % 1.13/1.32 (assume @p13 (=> @t10 (= @t7 (tptp.c_Polynomial_Opoly tptp.t_a @t33)))) % 1.13/1.32 (assume @p14 (=> @t10 (= tptp.v_p @t33))) % 1.13/1.32 (assume @p15 (forall (@list @t20 @t18) (=> @t22 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t18 @t48 @t20) @t48)))) % 1.13/1.32 (assume @p16 (forall @t49 (=> @t22 (= (tptp.c_Polynomial_Osmult @t18 @t23 @t48) @t48)))) % 1.13/1.32 (assume @p17 (forall @t49 (=> @t42 (= (tptp.c_Polynomial_Omonom @t18 @t23 @t29) @t50)))) % 1.13/1.32 (assume @p18 (forall @t58 (=> @t57 (= (= @t55 (tptp.c_Polynomial_Opoly @t11 @t52)) @t54)))) % 1.13/1.32 (assume @p19 (forall @t61 (=> @t57 (= (= @t55 (tptp.c_Polynomial_Opoly @t11 @t59)) @t60)))) % 1.13/1.32 (assume @p20 (forall (@list @t20 @t23 @t18) (=> @t22 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t18 @t50 @t20) @t50)))) % 1.13/1.32 (assume @p21 (forall (@list @t62 @t53 @t11) (=> @t63 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t11 @t53 @t62) @t52) @t54)))) % 1.13/1.32 (assume @p22 (forall (@list @t64 @t67 @t65 @t11) (=> @t15 (= (= @t68 (tptp.c_Polynomial_Omonom @t11 @t64 @t67)) @t66)))) % 1.13/1.32 (assume @p23 (forall (@list @t59 @t64 @t53 @t65 @t11) (=> @t15 (= (= @t69 (tptp.c_Polynomial_OpCons @t11 @t64 @t59)) (and @t66 @t60))))) % 1.13/1.32 (assume @p24 (forall @t73 (=> @t22 (=> (= @t72 @t71) @t70)))) % 1.13/1.32 (assume @p25 (forall @t75 (=> @t15 (= (= @t69 @t52) (and @t74 @t54))))) % 1.13/1.32 (assume @p26 (forall @t76 (=> @t42 (= (tptp.c_Polynomial_OpCons @t18 @t26 @t48) @t48)))) % 1.13/1.32 (assume @p27 (forall @t75 (=> @t56 (= (= @t77 @t52) (or @t74 @t54))))) % 1.13/1.32 (assume @p28 (forall @t78 (=> @t22 (= (tptp.c_Polynomial_Osmult @t18 @t26 @t17) @t48)))) % 1.13/1.32 (assume @p29 (forall @t79 (=> @t22 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t48) @t37) @t26)))) % 1.13/1.32 (assume @p30 (forall @t80 (=> @t15 (= (= @t68 @t52) @t74)))) % 1.13/1.32 (assume @p31 (forall @t81 (=> @t42 (= (tptp.c_Polynomial_Omonom @t18 @t26 @t39) @t48)))) % 1.13/1.32 (assume @p32 @t84) % 1.13/1.32 (assume @p33 (forall (@list @t2 @t86 @t11) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t11 @t86 @t2) (forall (@list @t3 @t85) (= @t5 (tptp.hAPP @t2 @t85)))))) % 1.13/1.32 (assume @p34 (forall @t76 (=> @t42 (= (tptp.c_Polynomial_Odegree @t18 @t48) @t29)))) % 1.13/1.32 (assume @p35 (forall (@list @t65 @t53 @t11) (=> @t56 (= (= (tptp.hAPP @t55 @t65) @t12) (or @t54 (not (= (tptp.c_Polynomial_Oorder @t11 @t65 @t53) @t29))))))) % 1.13/1.32 (assume @p36 (forall (@list @t53 @t65 @t11 @t87 @t2 @t86) (=> @t93 (=> @t92 (= @t90 (tptp.hAPP @t89 @t88)))))) % 1.13/1.32 (assume @p37 (forall @t96 (=> @t63 (= (= (tptp.c_Polynomial_Osynthetic__div @t11 @t53 @t95) @t52) (= @t94 @t29))))) % 1.13/1.32 (assume @p38 (forall @t58 (=> @t15 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t11 @t53) @t29) @t54)))) % 1.13/1.32 (assume @p39 (forall (@list @t53 @t65 @t2 @t87 @t11 @t86) (=> @t93 (= @t90 (tptp.hAPP @t89 (tptp.c_If @t11 (tptp.c_fequal @t53 @t91) @t87 @t88)))))) % 1.13/1.32 (assume @p40 (forall (@list @t11 @t87 @t2 @t86) (=> @t93 (=> @t92 (= (tptp.c_Polynomial_Opoly__rec @t11 @t86 @t87 @t2 @t91) @t87))))) % 1.13/1.32 (assume @p41 (forall @t101 (=> @t42 (and (=> @t70 (= @t98 @t29)) @t100)))) % 1.13/1.32 (assume @p42 (forall (@list @t45 @t17 @t23 @t18) (=> @t22 (= (tptp.c_Polynomial_Osynthetic__div @t18 @t71 @t45) @t105)))) % 1.13/1.32 (assume @p43 (forall @t46 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_String_Ochar @t45) @t29))) % 1.13/1.32 (assume @p44 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool tptp.c_fFalse) @t29)) % 1.13/1.32 (assume @p45 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_HOL_Obool tptp.c_fTrue) @t29)) % 1.13/1.32 (assume @p46 (= (tptp.c_Nat_Onat_Onat__size @t29) @t29)) % 1.13/1.32 (assume @p47 (forall @t78 (=> @t42 (and (=> @t70 (= @t106 @t29)) (=> @t99 (= @t106 @t97)))))) % 1.13/1.32 (assume @p48 (forall (@list @t45 @t18) (=> @t22 (= (tptp.c_Polynomial_Osynthetic__div @t18 @t48 @t45) @t48)))) % 1.13/1.32 (assume @p49 (forall @t101 (=> @t42 @t100))) % 1.13/1.32 (assume @p50 (forall @t43 (=> @t42 (= (tptp.c_Polynomial_Omonom @t18 @t23 @t107) (tptp.c_Polynomial_OpCons @t18 @t26 @t40))))) % 1.13/1.32 (assume @p51 (forall @t110 (not (= @t29 @t109)))) % 1.13/1.32 (assume @p52 (forall (@list @t111) (not (= @t29 (tptp.c_Nat_OSuc @t111))))) % 1.13/1.32 (assume @p53 (forall @t110 (not (= @t109 @t29)))) % 1.13/1.32 (assume @p54 (forall (@list @t112) (not (= (tptp.c_Nat_OSuc @t112) @t29)))) % 1.13/1.32 (assume @p55 (forall (@list @t114 @t113 @t45 @t17 @t18) (=> @t22 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t47 @t17 (tptp.c_Polynomial_Osmult @t18 @t45 @t113)) (tptp.c_Polynomial_OpCons @t18 @t114 @t113)) (and (= @t114 @t104) (= @t113 @t102)))))) % 1.13/1.32 (assume @p56 (forall @t115 (=> @t22 (= (tptp.c_Groups_Oplus__class_Oplus @t47 @t17 (tptp.c_Polynomial_Osmult @t18 @t45 @t102)) @t105)))) % 1.13/1.32 (assume @p57 (forall @t119 (= (tptp.c_Nat_Onat_Onat__size @t118) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Onat_Onat__size @t117) @t116)))) % 1.13/1.32 (assume @p58 (forall @t101 (=> @t30 (=> @t99 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t120 @t19))))) % 1.13/1.32 (assume @p59 (forall @t121 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t39))) % 1.13/1.32 (assume @p60 (forall @t121 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t39))) % 1.13/1.32 (assume @p61 (forall @t123 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t122))) % 1.13/1.32 (assume @p62 (forall @t123 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t124))) % 1.13/1.32 (assume @p63 (forall @t130 (= @t129 (exists @t128 (= @t67 @t127))))) % 1.13/1.32 (assume @p64 (forall @t131 (= @t122 @t124))) % 1.13/1.32 (assume @p65 (forall @t131 (or @t133 @t132))) % 1.13/1.32 (assume @p66 (forall @t137 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 @t136) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t135 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 @t134))))) % 1.13/1.32 (assume @p67 (forall @t140 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t122 @t138) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t139)))) % 1.13/1.32 (assume @p68 (forall @t145 (= (= @t144 @t143) @t141))) % 1.13/1.32 (assume @p69 (forall @t147 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t126 @t142) @t146) @t141))) % 1.13/1.32 (assume @p70 (forall @t145 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t144 @t143) @t129))) % 1.13/1.32 (assume @p71 (forall @t131 (=> @t148 @t133))) % 1.13/1.32 (assume @p72 (forall @t153 (=> @t152 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t151 @t150)))) % 1.13/1.32 (assume @p73 (forall @t153 (=> @t152 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t151 @t154)))) % 1.13/1.32 (assume @p74 (forall @t157 (=> @t152 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t156 @t155)))) % 1.13/1.32 (assume @p75 (forall @t157 (=> @t152 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t149 @t138) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t151 @t138))))) % 1.13/1.32 (assume @p76 (forall @t131 (=> @t133 (=> @t132 @t148)))) % 1.13/1.32 (assume @p77 (forall @t161 (=> @t152 (=> @t160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t156 @t159))))) % 1.13/1.32 (assume @p78 (forall @t165 (=> @t164 @t162))) % 1.13/1.32 (assume @p79 (forall @t165 (=> @t164 @t133))) % 1.13/1.32 (assume @p80 (forall @t165 (=> @t164 (not (=> @t133 (not @t162)))))) % 1.13/1.32 (assume @p81 (forall @t172 (=> @t171 (=> @t170 @t167)))) % 1.13/1.32 (assume @p82 (forall @t176 (=> @t171 (=> @t175 @t167)))) % 1.13/1.32 (assume @p83 (forall @t179 (=> @t178 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t166 @t23) @t169) @t177)))) % 1.13/1.32 (assume @p84 (forall @t182 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t18) @t181))) % 1.13/1.32 (assume @p85 (forall @t182 (=> @t178 @t181))) % 1.13/1.32 (assume @p86 (forall @t187 (=> @t186 (=> @t167 (=> @t185 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t174 @t184)))))) % 1.13/1.32 (assume @p87 (forall @t182 (=> @t186 (=> @t167 @t170)))) % 1.13/1.32 (assume @p88 (forall @t182 (=> @t186 (=> @t167 @t175)))) % 1.13/1.32 (assume @p89 (forall @t192 (=> @t191 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t190 @t189) @t188)))) % 1.13/1.32 (assume @p90 (forall @t195 (=> @t191 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t194 @t193) @t188)))) % 1.13/1.32 (assume @p91 (forall (@list @t95 @t65 @t64 @t11) (=> @t198 (= (= @t197 @t190) @t196)))) % 1.13/1.32 (assume @p92 (forall @t200 (=> @t198 (= (= @t199 @t194) @t196)))) % 1.13/1.32 (assume @p93 (forall @t182 (=> (tptp.class_Groups_Oab__semigroup__add @t18) @t202))) % 1.13/1.32 (assume @p94 (forall @t206 (=> @t205 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t204) @t203)))) % 1.13/1.32 (assume @p95 (forall @t206 (=> @t205 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t204 @t12) @t207)))) % 1.13/1.32 (assume @p96 (forall @t211 (=> @t210 (=> @t209 (=> @t208 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t180)))))) % 1.13/1.32 (assume @p97 (forall @t216 (=> (tptp.class_Groups_Oordered__comm__monoid__add @t11) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t13) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t212) (= @t215 @t214)))))) % 1.13/1.32 (assume @p98 (forall @t182 (=> @t210 (=> @t209 (=> @t218 @t217))))) % 1.13/1.32 (assume @p99 (forall @t221 (=> @t210 (=> @t220 (=> @t219 @t217))))) % 1.13/1.32 (assume @p100 (forall @t211 (=> @t210 (=> @t223 (=> @t222 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t180 @t26)))))) % 1.13/1.32 (assume @p101 (forall @t227 (=> @t226 (= (tptp.c_Groups_Oplus__class_Oplus @t47 @t71 @t225) (tptp.c_Polynomial_OpCons @t18 @t180 @t224))))) % 1.13/1.32 (assume @p102 (forall @t230 (=> @t22 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t224) @t37) (tptp.c_Groups_Oplus__class_Oplus @t18 @t229 @t228))))) % 1.13/1.32 (assume @p103 (forall @t235 (=> @t226 (=> @t234 (=> @t233 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t231 @t39)))))) % 1.13/1.32 (assume @p104 (forall @t237 (=> @t22 (= (tptp.c_Polynomial_Osmult @t18 @t180 @t17) (tptp.c_Groups_Oplus__class_Oplus @t47 @t24 @t236))))) % 1.13/1.32 (assume @p105 (forall @t131 (=> (= @t122 @t108) @t238))) % 1.13/1.32 (assume @p106 (forall @t130 (= (= @t241 @t29) (and @t240 @t239)))) % 1.13/1.32 (assume @p107 (forall @t110 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t29) @t108))) % 1.13/1.32 (assume @p108 (forall @t121 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t39) @t39))) % 1.13/1.32 (assume @p109 (forall @t242 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t67 @t29) @t239))) % 1.13/1.32 (assume @p110 (forall @t131 (= @t244 @t243))) % 1.13/1.32 (assume @p111 (forall @t131 (= @t245 @t243))) % 1.13/1.32 (assume @p112 (forall @t131 (= @t245 @t244))) % 1.13/1.32 (assume @p113 (forall @t247 (=> @t226 (= (tptp.c_Groups_Oplus__class_Oplus @t47 @t40 @t246) (tptp.c_Polynomial_Omonom @t18 @t180 @t39))))) % 1.13/1.32 (assume @p114 (forall @t121 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t107 @t39)))) % 1.13/1.32 (assume @p115 (forall @t130 (= (not @t129) @t249))) % 1.13/1.32 (assume @p116 (forall @t130 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t126 @t248) (or @t129 (= @t126 @t248))))) % 1.13/1.32 (assume @p117 (forall @t251 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t248 @t250) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t67 @t126)))) % 1.13/1.32 (assume @p118 (forall @t131 (=> @t133 @t252))) % 1.13/1.32 (assume @p119 (forall @t131 (=> @t252 (=> (not @t133) (= @t108 @t107))))) % 1.13/1.32 (assume @p120 (forall @t131 (=> @t253 @t133))) % 1.13/1.32 (assume @p121 (forall @t49 (=> @t226 @t254))) % 1.13/1.32 (assume @p122 (forall @t49 (=> @t255 @t254))) % 1.13/1.32 (assume @p123 (forall @t206 (=> @t205 (= (= @t12 @t204) @t74)))) % 1.13/1.32 (assume @p124 (forall @t49 (=> @t226 @t256))) % 1.13/1.32 (assume @p125 (forall @t49 (=> @t255 @t256))) % 1.13/1.32 (assume @p126 (forall @t257 (=> @t226 (= (tptp.c_Groups_Oplus__class_Oplus @t47 @t48 @t113) @t113)))) % 1.13/1.32 (assume @p127 (forall @t78 (=> @t226 (= (tptp.c_Groups_Oplus__class_Oplus @t47 @t17 @t48) @t17)))) % 1.13/1.32 (assume @p128 (forall @t259 (=> @t22 (= (tptp.c_Polynomial_Osmult @t18 @t23 @t224) (tptp.c_Groups_Oplus__class_Oplus @t47 @t24 @t258))))) % 1.13/1.32 (assume @p129 (forall @t130 (= (= @t241 @t116) @t262))) % 1.13/1.32 (assume @p130 (forall @t130 (= (= @t116 @t241) @t262))) % 1.13/1.32 (assume @p131 (forall @t31 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t19)))) % 1.13/1.32 (assume @p132 (forall @t43 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t41 @t39)))) % 1.13/1.32 (assume @p133 (forall (@list @t37 @t20 @t17 @t18) (=> @t22 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t21) @t37) (tptp.hAPP @t103 (tptp.c_Groups_Oplus__class_Oplus @t18 @t20 @t37)))))) % 1.13/1.32 (assume @p134 (forall @t73 (=> @t22 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t47 @t72 @t71) @t48) @t70)))) % 1.13/1.32 (assume @p135 (forall @t121 (not (= @t39 @t107)))) % 1.13/1.32 (assume @p136 (forall @t121 (not (= @t107 @t39)))) % 1.13/1.32 (assume @p137 (forall (@list @t263 @t264) (= (= (tptp.c_Nat_OSuc @t264) (tptp.c_Nat_OSuc @t263)) (= @t264 @t263)))) % 1.13/1.32 (assume @p138 (forall @t266 (=> (= (tptp.c_Nat_OSuc @t37) (tptp.c_Nat_OSuc @t135)) @t265))) % 1.13/1.32 (assume @p139 (forall @t31 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t97)))) % 1.13/1.32 (assume @p140 (forall (@list @t20 @t17 @t23 @t18) (=> @t22 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t18 @t71 @t20) (tptp.c_Groups_Oplus__class_Oplus @t47 (tptp.c_Polynomial_Osmult @t18 @t20 @t21) (tptp.c_Polynomial_OpCons @t18 @t23 @t21)))))) % 1.13/1.32 (assume @p141 (forall @t79 (=> @t267 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t37 @t37)))) % 1.13/1.32 (assume @p142 (forall @t119 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t118) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t117) @t116)))) % 1.13/1.32 (assume @p143 (forall @t271 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t142 @t269) (exists @t270 (= @t269 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t142 @t268)))))) % 1.13/1.32 (assume @p144 (forall @t137 (=> @t273 @t272))) % 1.13/1.32 (assume @p145 (forall @t274 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t37 @t134) @t272))) % 1.13/1.32 (assume @p146 (forall @t206 (=> @t205 (= (= @t204 @t12) @t74)))) % 1.13/1.32 (assume @p147 (forall @t276 (=> @t275 (= (= @t64 @t197) @t74)))) % 1.13/1.32 (assume @p148 (forall @t49 (=> @t277 @t254))) % 1.13/1.32 (assume @p149 (forall @t49 (=> @t277 @t256))) % 1.13/1.32 (assume @p150 (forall @t282 (=> @t22 (= (tptp.hAPP @t279 (tptp.c_Polynomial_OpCons @t18 @t23 @t113)) (tptp.c_Groups_Oplus__class_Oplus @t47 @t24 @t281))))) % 1.13/1.32 (assume @p151 (forall @t182 (=> (tptp.class_Groups_Oab__semigroup__mult @t18) (= (tptp.hAPP (tptp.hAPP @t283 @t287) @t45) (tptp.hAPP @t286 @t285))))) % 1.13/1.32 (assume @p152 (forall @t299 (=> @t277 (= @t298 (tptp.hAPP @t294 (tptp.hAPP @t290 @t288)))))) % 1.13/1.32 (assume @p153 (forall @t299 (=> @t277 (= @t298 (tptp.hAPP @t295 (tptp.hAPP @t297 @t288)))))) % 1.13/1.32 (assume @p154 (forall @t299 (=> @t277 (= @t298 (tptp.hAPP @t293 (tptp.hAPP @t290 @t296)))))) % 1.13/1.32 (assume @p155 (forall @t301 (=> @t277 (= @t300 (tptp.hAPP @t294 @t289))))) % 1.13/1.32 (assume @p156 (forall @t301 (=> @t277 (= @t300 (tptp.hAPP @t293 (tptp.hAPP @t290 @t291)))))) % 1.13/1.32 (assume @p157 (forall @t303 (=> @t277 (= @t302 (tptp.hAPP @t294 @t288))))) % 1.13/1.32 (assume @p158 (forall @t303 (=> @t277 (= @t302 (tptp.hAPP @t295 (tptp.hAPP @t293 @t288)))))) % 1.13/1.32 (assume @p159 (forall @t211 (=> @t277 (= @t287 @t304)))) % 1.13/1.32 (assume @p160 (forall @t49 (=> @t277 @t306))) % 1.13/1.32 (assume @p161 (forall @t49 (=> @t277 @t307))) % 1.13/1.32 (assume @p162 (forall @t230 (=> @t22 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t280) @t37) (tptp.hAPP (tptp.hAPP @t283 @t229) @t228))))) % 1.13/1.32 (assume @p163 (forall (@list @t87 @t13 @t212 @t308 @t11) (=> @t275 (= (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t313 @t312) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t311 @t87) (tptp.hAPP @t310 @t212))) (or (= @t308 @t13) (= @t212 @t87)))))) % 1.13/1.32 (assume @p164 (forall (@list @t166 @t108 @t23 @t18) (=> @t277 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t315 (tptp.hAPP @t284 @t108)) (tptp.hAPP @t314 @t108))))) % 1.13/1.32 (assume @p165 (forall @t182 (=> @t277 @t317))) % 1.13/1.32 (assume @p166 (forall @t324 (=> @t275 (= (and (not @t66) (not @t323)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t11 @t322 (tptp.hAPP @t318 @t320)) (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.hAPP @t321 @t320) @t319))))))) % 1.13/1.32 (assume @p167 (forall @t328 (=> @t277 (= (tptp.hAPP @t325 (tptp.c_Groups_Oplus__class_Oplus @t18 @t135 @t134)) (tptp.c_Groups_Oplus__class_Oplus @t18 @t327 @t326))))) % 1.13/1.32 (assume @p168 (forall @t121 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t39) @t39))) % 1.13/1.32 (assume @p169 (forall (@list @t39 @t166 @t108 @t23 @t18) (=> @t22 (= (tptp.hAPP (tptp.hAPP @t278 @t329) @t246) (tptp.c_Polynomial_Omonom @t18 @t287 @t122))))) % 1.13/1.32 (assume @p170 (forall @t78 (=> @t22 (= (tptp.hAPP @t279 @t48) @t48)))) % 1.13/1.32 (assume @p171 (forall @t257 (=> @t22 (= (tptp.hAPP (tptp.hAPP @t278 @t48) @t113) @t48)))) % 1.13/1.32 (assume @p172 (forall @t237 (=> @t22 (= (tptp.c_Polynomial_Osmult @t18 @t23 @t236) (tptp.c_Polynomial_Osmult @t18 @t287 @t17))))) % 1.13/1.32 (assume @p173 (forall (@list @t183 @t45 @t166 @t23 @t114 @t18) (=> (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t18) (=> (not (= @t114 @t26)) (=> (and @t331 (not (= @t45 @t183))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 (tptp.hAPP @t330 @t45)) (tptp.c_Groups_Oplus__class_Oplus @t18 @t166 (tptp.hAPP @t330 @t183))))))))) % 1.13/1.32 (assume @p174 (forall @t259 (=> @t22 (= (tptp.hAPP (tptp.hAPP @t278 @t24) @t113) @t332)))) % 1.13/1.32 (assume @p175 (forall @t282 (=> @t22 (= (tptp.hAPP @t279 @t258) @t332)))) % 1.13/1.32 (assume @p176 (forall (@list @t114 @t113 @t17 @t18) (=> @t22 (= (tptp.hAPP (tptp.hAPP @t278 @t224) @t114) (tptp.c_Groups_Oplus__class_Oplus @t47 (tptp.hAPP @t279 @t114) (tptp.hAPP @t333 @t114)))))) % 1.13/1.32 (assume @p177 (forall @t216 (=> @t336 (= (= @t335 @t12) @t214)))) % 1.13/1.32 (assume @p178 (forall @t237 (=> @t22 (= (tptp.c_Polynomial_Osmult @t18 @t23 (tptp.c_Polynomial_OpCons @t18 @t166 @t17)) (tptp.c_Polynomial_OpCons @t18 @t287 @t24))))) % 1.13/1.32 (assume @p179 (forall @t337 (=> @t22 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t24) @t37) (tptp.hAPP @t286 @t229))))) % 1.13/1.32 (assume @p180 (forall @t338 (=> @t22 (= (tptp.c_Polynomial_Osmult @t18 @t23 @t246) (tptp.c_Polynomial_Omonom @t18 @t287 @t39))))) % 1.13/1.32 (assume @p181 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Nat_Onat @t29) @t29)) % 1.13/1.32 (assume @p182 (forall @t216 (=> @t336 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t335 @t12) @t214)))) % 1.13/1.32 (assume @p183 (forall @t343 (=> @t342 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t341)))) % 1.13/1.32 (assume @p184 (forall @t343 (=> @t346 (=> (not @t345) @t344)))) % 1.13/1.32 (assume @p185 (forall (@list @t13 @t1 @t2 @t11 @t86) (=> @t349 (=> @t348 (tptp.c_Orderings_Oord__class_Oless__eq @t86 (tptp.hAPP @t2 @t13) (tptp.hAPP @t1 @t13)))))) % 1.13/1.32 (assume @p186 (forall @t352 (=> @t351 (=> @t344 (=> @t350 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t134 @t37)))))) % 1.13/1.32 (assume @p187 (forall @t353 (=> @t351 (=> @t344 (=> @t345 @t265))))) % 1.13/1.32 (assume @p188 (forall @t328 (=> @t267 (=> @t345 (=> @t354 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t37 @t134)))))) % 1.13/1.32 (assume @p189 (forall @t343 (=> @t351 (=> @t345 (=> @t344 @t265))))) % 1.13/1.32 (assume @p190 (forall @t179 (=> @t351 (=> @t219 (=> @t177 @t355))))) % 1.13/1.32 (assume @p191 (forall @t182 (=> @t357 (=> @t167 (=> @t177 @t356))))) % 1.13/1.32 (assume @p192 (forall @t182 (=> @t351 (=> @t331 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t45 @t166) @t355))))) % 1.13/1.32 (assume @p193 (forall @t182 (=> @t357 (=> @t331 (=> @t218 @t356))))) % 1.13/1.32 (assume @p194 (forall @t363 (=> @t362 (=> @t361 @t360)))) % 1.13/1.32 (assume @p195 (forall @t343 (=> @t267 (=> @t265 @t345)))) % 1.13/1.32 (assume @p196 (forall @t216 (=> @t362 (= @t358 (and @t359 @t361))))) % 1.13/1.32 (assume @p197 (forall @t343 (=> @t346 (or @t345 @t344)))) % 1.13/1.32 (assume @p198 (forall @t364 (=> @t349 (= @t348 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t86 @t5 @t4)))))) % 1.13/1.32 (assume @p199 (forall @t367 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t366 @t365)))) % 1.13/1.32 (assume @p200 (forall @t187 (=> @t277 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t180 @t368) (tptp.c_Groups_Oplus__class_Oplus @t18 @t174 @t184))))) % 1.13/1.32 (assume @p201 (forall @t182 (=> @t277 (= @t201 (tptp.c_Groups_Oplus__class_Oplus @t18 @t174 @t166))))) % 1.13/1.32 (assume @p202 (forall @t182 (=> @t277 @t202))) % 1.13/1.32 (assume @p203 (forall @t370 (=> @t277 (= @t369 (tptp.c_Groups_Oplus__class_Oplus @t18 @t174 @t183))))) % 1.13/1.32 (assume @p204 (forall @t370 (=> @t277 (= @t369 (tptp.c_Groups_Oplus__class_Oplus @t18 @t45 (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 @t183)))))) % 1.13/1.32 (assume @p205 (forall (@list @t45 @t23 @t18) (=> @t277 (= @t174 @t169)))) % 1.13/1.32 (assume @p206 (forall @t367 (=> @t30 (=> @t99 (=> @t371 (= @t366 @t365)))))) % 1.13/1.32 (assume @p207 (forall @t337 (=> @t22 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t71) @t37) (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 (tptp.hAPP @t325 @t229)))))) % 1.13/1.32 (assume @p208 (forall @t259 (=> @t22 (= (tptp.hAPP (tptp.hAPP @t278 @t71) @t113) (tptp.c_Groups_Oplus__class_Oplus @t47 @t258 @t281))))) % 1.13/1.32 (assume @p209 (forall @t259 (=> @t22 (= (tptp.c_Polynomial_Opcompose @t18 @t71 @t113) (tptp.c_Groups_Oplus__class_Oplus @t47 @t50 (tptp.hAPP @t333 @t372)))))) % 1.13/1.32 (assume @p210 (forall @t211 (=> @t374 (=> (or (and @t209 @t222) (and @t223 @t208)) @t373)))) % 1.13/1.32 (assume @p211 (forall @t211 (=> @t376 (=> (or (and @t209 @t208) (and @t223 @t222)) @t375)))) % 1.13/1.32 (assume @p212 (forall @t187 (=> @t379 (=> @t167 (=> @t185 (=> @t208 @t378)))))) % 1.13/1.32 (assume @p213 (forall @t187 (=> @t379 (=> @t167 (=> @t185 (=> @t209 @t378)))))) % 1.13/1.32 (assume @p214 (forall @t179 (=> @t376 (=> @t219 (=> @t384 @t383))))) % 1.13/1.32 (assume @p215 (forall @t179 (=> @t376 (=> @t219 (=> @t384 @t385))))) % 1.13/1.32 (assume @p216 (forall @t182 (=> (tptp.class_Rings_Oordered__comm__semiring @t18) @t386))) % 1.13/1.32 (assume @p217 (forall @t147 (= (= @t393 @t391) @t388))) % 1.13/1.32 (assume @p218 (forall @t145 (= @t397 @t388))) % 1.13/1.32 (assume @p219 (forall @t130 (= (= @t398 @t29) (or @t240 @t239)))) % 1.13/1.32 (assume @p220 (forall @t110 (= (tptp.hAPP @t399 @t29) @t29))) % 1.13/1.32 (assume @p221 (forall @t121 (= (tptp.hAPP (tptp.hAPP @t389 @t29) @t39) @t29))) % 1.13/1.32 (assume @p222 (forall @t145 (= (= @t402 @t401) @t141))) % 1.13/1.32 (assume @p223 (forall @t406 (= (tptp.hAPP @t403 @t122) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t405 @t404)))) % 1.13/1.32 (assume @p224 (forall @t140 (= (tptp.hAPP (tptp.hAPP @t389 @t122) @t138) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t409 @t408)))) % 1.13/1.32 (assume @p225 (forall @t110 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t108 @t410))) % 1.13/1.32 (assume @p226 (forall @t110 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t108 (tptp.hAPP @t399 @t410)))) % 1.13/1.32 (assume @p227 (forall @t157 (=> @t152 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t414 @t412)))) % 1.13/1.32 (assume @p228 (forall @t157 (=> @t152 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t416 @t415)))) % 1.13/1.32 (assume @p229 (forall @t161 (=> @t152 (=> @t160 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t414 (tptp.hAPP @t411 @t158)))))) % 1.13/1.32 (assume @p230 (forall @t367 (=> @t22 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t18 @t372) (tptp.hAPP @t417 @t232))))) % 1.13/1.32 (assume @p231 (forall @t130 (= (= @t398 @t116) (and @t261 @t260)))) % 1.13/1.32 (assume @p232 (forall @t131 (= (tptp.hAPP (tptp.hAPP @t389 @t109) @t39) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t39 @t418)))) % 1.13/1.32 (assume @p233 (forall @t131 (= (tptp.hAPP @t399 @t107) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t418)))) % 1.13/1.32 (assume @p234 (forall @t145 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t402 @t401) @t129))) % 1.13/1.32 (assume @p235 (forall @t257 (=> @t22 (= (tptp.c_Polynomial_Opcompose @t18 @t48 @t113) @t48)))) % 1.13/1.32 (assume @p236 (forall @t230 (=> @t22 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t372) @t37) (tptp.hAPP @t103 @t228))))) % 1.13/1.32 (assume @p237 (forall @t130 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 @t398) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 @t126) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 @t67))))) % 1.13/1.32 (assume @p238 (forall @t211 (=> @t421 (=> @t420 (or @t27 @t419))))) % 1.13/1.32 (assume @p239 (forall @t211 (=> @t421 (=> @t28 (=> @t422 (not @t420)))))) % 1.13/1.32 (assume @p240 (forall @t425 (=> (tptp.class_Rings_Oring__no__zero__divisors @t11) (= (= @t424 @t12) (or @t74 @t423))))) % 1.13/1.32 (assume @p241 (forall @t49 (=> @t426 @t307))) % 1.13/1.32 (assume @p242 (forall @t49 (=> @t426 @t306))) % 1.13/1.32 (assume @p243 (forall @t182 (=> (tptp.class_Rings_Ocomm__semiring @t18) @t317))) % 1.13/1.32 (assume @p244 (forall (@list @t45 @t166 @t427 @t23 @t18) (=> (tptp.class_Rings_Osemiring @t18) (= (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP @t286 @t427) (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP @t284 @t427) @t45)) (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP @t314 @t427) @t45))))) % 1.13/1.32 (assume @p245 (forall @t49 (=> @t342 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t428)))) % 1.13/1.32 (assume @p246 (forall @t425 (=> @t336 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t424) @t431)))) % 1.13/1.32 (assume @p247 (forall @t425 (=> @t336 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t424 @t12) @t432)))) % 1.13/1.32 (assume @p248 (forall @t211 (=> @t374 (=> @t209 (=> @t208 @t375))))) % 1.13/1.32 (assume @p249 (forall @t211 (=> @t374 (=> @t209 (=> @t222 @t373))))) % 1.13/1.32 (assume @p250 (forall @t211 (=> @t374 (=> @t209 (=> @t222 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t304 @t26)))))) % 1.13/1.32 (assume @p251 (forall @t211 (=> @t374 (=> @t223 (=> @t208 @t373))))) % 1.13/1.32 (assume @p252 (forall @t211 (=> @t376 (=> @t223 (=> @t222 @t375))))) % 1.13/1.32 (assume @p253 (forall @t182 (=> @t379 (=> @t167 (=> @t220 @t385))))) % 1.13/1.32 (assume @p254 (forall @t182 (=> @t379 @t386))) % 1.13/1.32 (assume @p255 (forall @t436 (=> @t435 (= (tptp.hAPP @t286 (tptp.c_Groups_Oplus__class_Oplus @t18 @t166 @t433)) (tptp.c_Groups_Oplus__class_Oplus @t18 @t287 @t434))))) % 1.13/1.32 (assume @p256 (forall @t442 (=> @t435 (= (tptp.hAPP @t438 @t441) (tptp.c_Groups_Oplus__class_Oplus @t18 @t440 @t439))))) % 1.13/1.32 (assume @p257 (forall @t445 (=> @t435 (= (tptp.hAPP (tptp.hAPP @t283 (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 @t443)) @t166) (tptp.c_Groups_Oplus__class_Oplus @t18 @t287 @t444))))) % 1.13/1.32 (assume @p258 (forall @t449 (=> @t435 (= (tptp.hAPP (tptp.hAPP @t283 @t441) @t446) (tptp.c_Groups_Oplus__class_Oplus @t18 @t448 @t447))))) % 1.13/1.32 (assume @p259 (forall @t79 (=> @t435 (= (tptp.hAPP @t325 @t26) @t26)))) % 1.13/1.32 (assume @p260 (forall @t49 (=> @t435 @t307))) % 1.13/1.32 (assume @p261 (forall @t450 (=> @t435 (= (tptp.hAPP @t305 @t135) @t26)))) % 1.13/1.32 (assume @p262 (forall @t131 (= @t418 @t451))) % 1.13/1.32 (assume @p263 (forall @t140 (= (tptp.hAPP (tptp.hAPP @t389 @t418) @t138) (tptp.hAPP @t399 @t408)))) % 1.13/1.32 (assume @p264 (forall (@list @t166 @t18) (=> @t435 (= (tptp.hAPP @t305 @t166) @t26)))) % 1.13/1.32 (assume @p265 (forall (@list @t138 @t149 @t452 @t151) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t455 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t454 @t138)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t389 @t453) @t452) @t138)))) % 1.13/1.32 (assume @p266 (forall @t145 (= @t397 (or @t387 @t141)))) % 1.13/1.32 (assume @p267 (forall @t367 (=> @t22 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t280) @t365) (tptp.hAPP (tptp.hAPP @t283 @t459) @t457))))) % 1.13/1.32 (assume @p268 (forall @t466 (=> (tptp.class_Rings_Olinordered__semiring__1 @t18) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t37 @t23) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t135 @t23) (=> @t465 (=> @t464 (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t461 @t23))))))))) % 1.13/1.32 (assume @p269 (forall (@list @t467 @t67 @t2 @t11) (=> @t362 (=> (forall @t270 (tptp.c_Orderings_Oord__class_Oless__eq @t11 (tptp.hAPP @t2 @t268) (tptp.hAPP @t2 (tptp.c_Nat_OSuc @t268)))) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t67 @t467) (tptp.c_Orderings_Oord__class_Oless__eq @t11 (tptp.hAPP @t2 @t67) (tptp.hAPP @t2 @t467))))))) % 1.13/1.32 (assume @p270 (forall (@list @t17 @t45 @t18) (=> @t469 (= (tptp.c_Groups_Oplus__class_Oplus @t47 (tptp.hAPP (tptp.hAPP @t278 (tptp.c_Polynomial_OpCons @t18 (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t45) @t468)) @t102) (tptp.c_Polynomial_OpCons @t18 @t104 @t48)) @t17)))) % 1.13/1.32 (assume @p271 (forall (@list @t37 @t39 @t23 @t18) (=> @t277 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t40) @t37) (tptp.hAPP @t286 @t472))))) % 1.13/1.32 (assume @p272 (forall @t16 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t11) (= (= @t334 @t473) (or @t474 (= @t13 (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t473))))))) % 1.13/1.32 (assume @p273 (forall @t79 (=> @t469 (= @t476 (tptp.hAPP (tptp.hAPP @t283 @t475) @t37))))) % 1.13/1.32 (assume @p274 (forall @t79 (=> @t277 (= (tptp.hAPP @t471 @t477) @t37)))) % 1.13/1.32 (assume @p275 (forall @t79 (=> @t277 (= (tptp.hAPP @t471 @t29) @t462)))) % 1.13/1.32 (assume @p276 (forall (@list @t17 @t23 @t11) (=> @t478 (= (tptp.c_Groups_Ouminus__class_Ouminus @t51 (tptp.c_Polynomial_OpCons @t11 @t23 @t17)) (tptp.c_Polynomial_OpCons @t11 (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t23) (tptp.c_Groups_Ouminus__class_Ouminus @t51 @t17)))))) % 1.13/1.32 (assume @p277 (forall @t31 (=> @t481 (= (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t71) (tptp.c_Polynomial_OpCons @t18 @t480 @t479))))) % 1.13/1.32 (assume @p278 (forall (@list @t37 @t17 @t18) (=> @t482 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t479) @t37) (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t229))))) % 1.13/1.32 (assume @p279 (forall (@list @t37 @t39 @t17 @t18) (=> @t277 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t484) @t37) (tptp.hAPP (tptp.hAPP @t470 @t229) @t39))))) % 1.13/1.32 (assume @p280 (forall @t31 (=> @t482 (= (tptp.c_Polynomial_Osmult @t18 @t480 @t17) @t485)))) % 1.13/1.32 (assume @p281 (forall @t79 (=> @t277 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t486) @t37) @t462)))) % 1.13/1.32 (assume @p282 (forall @t43 (=> @t481 (= (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t40) (tptp.c_Polynomial_Omonom @t18 @t480 @t39))))) % 1.13/1.32 (assume @p283 (forall @t81 (=> @t277 (and (=> @t238 (= @t487 @t462)) (=> @t488 (= @t487 @t26)))))) % 1.13/1.32 (assume @p284 (forall @t43 (=> @t277 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t489) @t39) @t462)))) % 1.13/1.32 (assume @p285 (forall @t425 (=> @t492 (= (= @t491 @t490) @t66)))) % 1.13/1.32 (assume @p286 (forall @t216 (=> @t15 (= (= (tptp.c_Polynomial_Ocoeff @t11 @t13) (tptp.c_Polynomial_Ocoeff @t11 @t212)) @t358)))) % 1.13/1.32 (assume @p287 (forall @t425 (=> @t492 (= (= @t491 @t64) (= @t490 @t65))))) % 1.13/1.32 (assume @p288 (forall @t494 (=> @t481 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t479) @t39) (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t493))))) % 1.13/1.32 (assume @p289 (forall @t425 (=> @t492 (= @t495 (= @t64 @t491))))) % 1.13/1.32 (assume @p290 (forall @t61 (=> @t15 (= @t60 (forall @t270 (= (tptp.hAPP @t496 @t268) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t11 @t59) @t268))))))) % 1.13/1.32 (assume @p291 (forall @t16 (=> (tptp.class_Groups_Oone @t11) (= (= @t473 @t13) @t474)))) % 1.13/1.32 (assume @p292 (forall @t49 (=> @t497 (= (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t480) @t23)))) % 1.13/1.32 (assume @p293 (forall @t206 (=> @t205 (= (= @t491 @t65) @t74)))) % 1.13/1.32 (assume @p294 (forall @t206 (=> @t492 (= (= @t491 @t12) @t74)))) % 1.13/1.32 (assume @p295 (forall @t206 (=> @t205 (= (= @t65 @t491) @t74)))) % 1.13/1.32 (assume @p296 (forall @t206 (=> @t492 (= (= @t12 @t491) (= @t12 @t65))))) % 1.13/1.32 (assume @p297 (forall @t76 (=> @t497 (= (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t26) @t26)))) % 1.13/1.32 (assume @p298 (forall @t76 (=> @t277 (= @t486 @t468)))) % 1.13/1.32 (assume @p299 (forall @t211 (=> (tptp.class_Groups_Oordered__ab__group__add @t18) (=> @t167 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t498 @t480))))) % 1.13/1.32 (assume @p300 (forall @t276 (=> @t499 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t490 @t491) @t188)))) % 1.13/1.32 (assume @p301 (forall @t425 (=> @t499 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t491 @t64) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t490 @t65))))) % 1.13/1.32 (assume @p302 (forall @t425 (=> @t499 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t65 @t490) (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t64 @t491))))) % 1.13/1.32 (assume @p303 (forall @t425 (=> @t56 (= (= (tptp.hAPP @t321 @t65) (tptp.hAPP @t318 @t64)) (or @t66 @t495))))) % 1.13/1.32 (assume @p304 (forall @t211 (=> @t501 (= (tptp.hAPP @t500 @t498) @t287)))) % 1.13/1.32 (assume @p305 (forall @t211 (=> @t501 (= @t503 @t502)))) % 1.13/1.32 (assume @p306 (forall @t211 (=> @t501 (= @t504 @t503)))) % 1.13/1.32 (assume @p307 (forall @t211 (=> @t501 (= @t504 @t502)))) % 1.13/1.32 (assume @p308 (forall @t211 (=> @t435 (= @t502 @t504)))) % 1.13/1.32 (assume @p309 (forall (@list @t37 @t437 @t18) (=> @t435 (= (tptp.hAPP @t438 @t476) (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t440))))) % 1.13/1.32 (assume @p310 (forall @t211 (=> @t435 (= @t503 @t504)))) % 1.13/1.32 (assume @p311 (forall @t343 (=> @t435 (= (tptp.hAPP (tptp.hAPP @t283 @t476) @t135) (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t327))))) % 1.13/1.32 (assume @p312 (forall (@list @t113 @t135 @t37 @t18) (=> @t277 (= (tptp.hAPP (tptp.hAPP @t470 @t327) @t113) (tptp.hAPP @t507 (tptp.hAPP @t505 @t113)))))) % 1.13/1.32 (assume @p313 (forall @t211 (=> @t497 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t480 @t180) @t166)))) % 1.13/1.32 (assume @p314 (forall @t211 (=> @t497 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 (tptp.c_Groups_Oplus__class_Oplus @t18 @t480 @t166)) @t166)))) % 1.13/1.32 (assume @p315 (forall @t211 (=> @t497 (= @t508 (tptp.c_Groups_Oplus__class_Oplus @t18 @t498 @t480))))) % 1.13/1.32 (assume @p316 (forall @t211 (=> @t481 (= @t508 (tptp.c_Groups_Oplus__class_Oplus @t18 @t480 @t498))))) % 1.13/1.32 (assume @p317 (forall @t76 (=> @t509 (not (= @t462 @t26))))) % 1.13/1.32 (assume @p318 (forall @t76 (=> @t509 (not (= @t26 @t462))))) % 1.13/1.32 (assume @p319 (forall @t137 (= (tptp.hAPP @t511 @t136) (tptp.hAPP (tptp.hAPP @t513 @t512) (tptp.hAPP @t511 @t134))))) % 1.13/1.32 (assume @p320 (forall @t49 (=> @t277 @t514))) % 1.13/1.32 (assume @p321 (forall @t49 (=> @t277 @t515))) % 1.13/1.32 (assume @p322 (forall @t49 (=> @t516 @t515))) % 1.13/1.32 (assume @p323 (forall @t49 (=> @t517 @t515))) % 1.13/1.32 (assume @p324 (forall @t49 (=> @t516 @t514))) % 1.13/1.32 (assume @p325 (forall @t49 (=> @t517 @t514))) % 1.13/1.32 (assume @p326 (forall @t520 (=> @t277 (= (tptp.hAPP (tptp.hAPP @t470 @t519) @t113) (tptp.hAPP @t471 (tptp.hAPP @t518 @t113)))))) % 1.13/1.32 (assume @p327 (forall @t137 (= (tptp.hAPP (tptp.hAPP @t510 @t512) @t134) (tptp.hAPP @t511 (tptp.hAPP (tptp.hAPP @t389 @t135) @t134))))) % 1.13/1.32 (assume @p328 (forall @t76 (=> @t481 (= (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t48) @t48)))) % 1.13/1.32 (assume @p329 (forall @t78 (=> @t481 (= (tptp.c_Polynomial_Odegree @t18 @t479) @t19)))) % 1.13/1.32 (assume @p330 (forall @t31 (=> @t482 (= (tptp.c_Polynomial_Osmult @t18 @t23 @t479) @t485)))) % 1.13/1.32 (assume @p331 (forall @t130 (= (= @t398 @t477) @t523))) % 1.13/1.32 (assume @p332 (forall @t121 (= (tptp.hAPP @t407 @t477) @t39))) % 1.13/1.32 (assume @p333 (forall @t130 (= (= @t477 @t398) @t523))) % 1.13/1.32 (assume @p334 (forall @t121 (= (tptp.hAPP (tptp.hAPP @t389 @t477) @t39) @t39))) % 1.13/1.32 (assume @p335 (forall @t78 (=> @t277 (= (tptp.c_Polynomial_Osmult @t18 @t462 @t17) @t17)))) % 1.13/1.32 (assume @p336 (forall @t43 (=> @t277 (= (tptp.c_Polynomial_Odegree @t18 @t489) @t39)))) % 1.13/1.32 (assume @p337 (forall @t206 (=> @t499 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t491) @t207)))) % 1.13/1.32 (assume @p338 (forall @t206 (=> @t205 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t65 @t491) @t207)))) % 1.13/1.32 (assume @p339 (forall @t206 (=> @t499 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t491 @t12) @t203)))) % 1.13/1.32 (assume @p340 (forall @t206 (=> @t205 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t491 @t65) @t203)))) % 1.13/1.32 (assume @p341 (forall @t49 (=> @t497 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t23 @t480) @t26)))) % 1.13/1.32 (assume @p342 (forall @t425 (=> @t492 (= @t495 (= @t199 @t12))))) % 1.13/1.32 (assume @p343 (forall @t49 (=> @t497 @t524))) % 1.13/1.32 (assume @p344 (forall @t49 (=> @t481 @t524))) % 1.13/1.32 (assume @p345 (forall @t211 (=> @t497 (=> (= @t180 @t26) (= @t480 @t166))))) % 1.13/1.32 (assume @p346 (forall @t526 (=> @t277 (= (tptp.hAPP @t507 @t37) @t525)))) % 1.13/1.32 (assume @p347 (forall @t526 (=> @t277 (= @t527 @t525)))) % 1.13/1.32 (assume @p348 (forall @t526 (=> @t277 (= @t525 @t527)))) % 1.13/1.32 (assume @p349 (forall @t520 (=> @t277 (= (tptp.hAPP (tptp.hAPP @t283 @t519) @t506) (tptp.hAPP @t471 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t17 @t113)))))) % 1.13/1.32 (assume @p350 (forall @t76 (=> @t528 (not (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t462 @t26))))) % 1.13/1.32 (assume @p351 (forall @t76 (=> @t528 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t462)))) % 1.13/1.32 (assume @p352 (forall (@list @t108 @t23 @t18) (=> @t277 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t315 @t108) @t530)))) % 1.13/1.32 (assume @p353 (forall (@list @t23 @t108 @t18) (=> @t277 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t108 @t315) @t530)))) % 1.13/1.32 (assume @p354 (forall (@list @t108 @t18) (=> @t277 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t108 @t108) (tptp.hAPP (tptp.hAPP @t283 @t531) @t108))))) % 1.13/1.32 (assume @p355 (forall @t81 (=> @t42 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t48) @t39) @t26)))) % 1.13/1.32 (assume @p356 (forall (@list @t37 @t17 @t39 @t18) (=> @t469 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 (tptp.hAPP (tptp.hAPP @t278 (tptp.c_Polynomial_Omonom @t18 @t462 @t39)) @t17)) @t37) (tptp.hAPP (tptp.hAPP @t283 @t472) @t229))))) % 1.13/1.32 (assume @p357 (forall @t31 (=> @t42 (= (tptp.hAPP @t532 @t29) @t23)))) % 1.13/1.32 (assume @p358 (forall @t533 (=> @t22 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t24) @t39) (tptp.hAPP @t286 @t493))))) % 1.13/1.32 (assume @p359 (forall @t533 (=> @t42 (= (tptp.hAPP @t532 @t107) @t493)))) % 1.13/1.32 (assume @p360 (= @t477 @t116)) % 1.13/1.32 (assume @p361 (forall @t121 (= @t107 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t39 @t477)))) % 1.13/1.32 (assume @p362 (forall @t121 (= @t107 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t477 @t39)))) % 1.13/1.32 (assume @p363 (forall @t131 (=> (= @t108 @t418) (or (= @t39 @t477) @t534)))) % 1.13/1.32 (assume @p364 (forall @t76 (=> @t277 (= (tptp.c_Polynomial_Odegree @t18 @t486) @t29)))) % 1.13/1.32 (assume @p365 (forall @t537 (=> @t42 (and (=> @t148 (= @t535 @t23)) (=> @t536 (= @t535 @t26)))))) % 1.13/1.32 (assume @p366 (forall @t539 (=> @t226 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t224) @t39) (tptp.c_Groups_Oplus__class_Oplus @t18 @t493 @t538))))) % 1.13/1.32 (assume @p367 (forall @t343 (=> @t543 (=> @t542 (=> @t541 (=> @t540 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t327 @t37))))))) % 1.13/1.32 (assume @p368 (forall @t343 (=> @t543 (=> @t542 (=> @t541 (=> @t540 (tptp.c_Orderings_Oord__class_Oless__eq @t18 (tptp.hAPP @t339 @t37) @t37))))))) % 1.13/1.32 (assume @p369 (forall @t494 (=> @t42 (=> (not @t544) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t39 @t19))))) % 1.13/1.32 (assume @p370 (forall @t494 (=> @t277 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t18 @t484) (tptp.hAPP @t417 @t39))))) % 1.13/1.32 (assume @p371 (forall @t78 (=> @t42 (=> @t99 (not (= @t459 @t26)))))) % 1.13/1.32 (assume @p372 (forall @t58 (=> @t15 (= (= (tptp.hAPP @t496 @t94) @t12) @t54)))) % 1.13/1.32 (assume @p373 (forall @t550 (=> @t528 (=> @t549 (=> @t209 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t23 @t462) (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t548 @t546))))))) % 1.13/1.32 (assume @p374 (forall (@list @t39 @t114 @t18) (=> @t528 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t114) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t114 @t462) (tptp.c_Orderings_Oord__class_Oless__eq @t18 (tptp.hAPP (tptp.hAPP @t470 @t114) @t107) @t114)))))) % 1.13/1.32 (assume @p375 (forall @t216 (=> @t56 (= (= (tptp.hAPP (tptp.hAPP @t553 @t13) @t552) (tptp.hAPP (tptp.hAPP @t553 @t212) @t552)) (or @t358 (= @t13 @t551)))))) % 1.13/1.32 (assume @p376 (forall @t550 (=> @t528 (=> @t549 (=> @t554 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t546 @t548)))))) % 1.13/1.32 (assume @p377 (forall @t43 (=> @t555 (= (tptp.hAPP (tptp.hAPP @t470 @t480) @t39) (tptp.hAPP (tptp.hAPP @t283 (tptp.hAPP (tptp.hAPP @t470 @t475) @t39)) @t546))))) % 1.13/1.32 (assume @p378 (forall @t81 (=> @t559 (and (=> @t238 (= @t557 @t462)) (=> @t488 (= @t557 @t26)))))) % 1.13/1.32 (assume @p379 (forall @t564 (= (tptp.hAPP (tptp.hAPP @t513 @t563) @t560) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t562)))) % 1.13/1.32 (assume @p380 (forall @t566 (= (tptp.hAPP @t561 @t565) @t134))) % 1.13/1.32 (assume @p381 (forall @t566 (= (tptp.hAPP (tptp.hAPP @t513 @t565) @t134) @t134))) % 1.13/1.32 (assume @p382 (forall @t564 (= @t562 (tptp.hAPP @t567 @t134)))) % 1.13/1.32 (assume @p383 (forall @t573 (= (tptp.hAPP (tptp.hAPP @t513 (tptp.hAPP @t572 @t569)) @t568) (tptp.hAPP @t572 (tptp.hAPP @t570 @t568))))) % 1.13/1.32 (assume @p384 (forall @t577 (= (tptp.hAPP (tptp.hAPP @t513 @t576) @t560) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t575 @t574)))) % 1.13/1.32 (assume @p385 (forall @t580 (= (tptp.hAPP @t567 @t576) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t579 @t578)))) % 1.13/1.32 (assume @p386 (forall @t49 (=> @t517 (= (tptp.hAPP @t545 @t477) @t23)))) % 1.13/1.32 (assume @p387 (forall @t43 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t18) (=> @t28 (not (= @t546 @t26)))))) % 1.13/1.32 (assume @p388 (forall @t43 (=> @t517 (= @t583 @t581)))) % 1.13/1.32 (assume @p389 (forall @t338 (=> @t516 (= (tptp.hAPP (tptp.hAPP @t470 @t287) @t39) (tptp.hAPP @t582 @t585))))) % 1.13/1.32 (assume @p390 (forall @t81 (=> @t517 (= (tptp.hAPP (tptp.hAPP @t470 @t462) @t39) @t462)))) % 1.13/1.32 (assume @p391 (forall @t121 (= (tptp.hAPP (tptp.hAPP @t586 @t116) @t39) @t116))) % 1.13/1.32 (assume @p392 (forall (@list @t126 @t13) (= (= (tptp.hAPP @t587 @t126) @t116) (or @t240 (= @t13 @t116))))) % 1.13/1.32 (assume @p393 (forall @t589 (=> @t517 (= (tptp.hAPP @t545 @t418) (tptp.hAPP (tptp.hAPP @t470 @t588) @t39))))) % 1.13/1.32 (assume @p394 (forall @t338 (=> @t528 (=> @t167 (=> @t209 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t546 @t585)))))) % 1.13/1.32 (assume @p395 (forall @t43 (=> @t528 (=> @t209 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t26 @t546))))) % 1.13/1.32 (assume @p396 (forall @t216 (=> @t492 (= @t215 (= @t212 @t590))))) % 1.13/1.32 (assume @p397 (forall @t43 (=> @t528 (=> @t554 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t462 @t546))))) % 1.13/1.32 (assume @p398 (forall @t80 (=> (and @t594 (tptp.class_Rings_Omult__zero @t11) (tptp.class_Rings_Ono__zero__divisors @t11) (tptp.class_Rings_Ozero__neq__one @t11)) (= (= @t593 @t12) (and @t74 @t591))))) % 1.13/1.32 (assume @p399 (forall @t81 (=> @t559 (= (tptp.hAPP @t556 @t107) @t26)))) % 1.13/1.32 (assume @p400 (forall @t43 (=> @t558 (= @t595 @t581)))) % 1.13/1.32 (assume @p401 (forall @t43 (=> @t517 (= @t595 @t583)))) % 1.13/1.32 (assume @p402 (forall @t49 (=> @t558 (= (tptp.hAPP @t545 @t29) @t462)))) % 1.13/1.32 (assume @p403 (forall @t589 (=> @t517 (= (tptp.hAPP @t545 @t122) (tptp.hAPP (tptp.hAPP @t283 @t588) @t546))))) % 1.13/1.32 (assume @p404 (forall @t598 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 @t151) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t116 @t597)))) % 1.13/1.32 (assume @p405 (forall @t247 (=> @t528 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t595 @t599) (=> @t208 @t167))))) % 1.13/1.32 (assume @p406 (forall @t247 (=> @t528 (=> (= @t595 @t599) (=> @t209 (=> @t208 @t331)))))) % 1.13/1.32 (assume @p407 (forall (@list @t11) (=> @t594 (= @t553 (tptp.c_Power_Opower_Opower @t11 @t473 @t309))))) % 1.13/1.32 (assume @p408 (forall @t101 (=> @t30 (=> @t99 @t601)))) % 1.13/1.32 (assume @p409 (forall @t101 (=> @t30 (=> @t99 (and @t602 @t601))))) % 1.13/1.32 (assume @p410 (forall @t343 (=> @t604 (=> @t345 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t603 @t476))))) % 1.13/1.32 (assume @p411 (forall @t216 (=> @t605 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t590 @t551) @t361)))) % 1.13/1.32 (assume @p412 (forall @t49 (=> @t277 (tptp.c_Rings_Odvd__class_Odvd @t18 @t23 @t26)))) % 1.13/1.32 (assume @p413 (forall @t566 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t607 @t134) @t606)))) % 1.13/1.32 (assume @p414 (forall @t566 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t563 @t134) @t606))) % 1.13/1.32 (assume @p415 (forall @t564 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t609) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t563 @t608)))) % 1.13/1.32 (assume @p416 (forall @t566 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t563) @t134))) % 1.13/1.32 (assume @p417 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t606) @t606)) % 1.13/1.32 (assume @p418 (not (= @t606 @t565))) % 1.13/1.32 (assume @p419 (forall (@list @t39 @t135 @t37 @t18) (=> @t277 (=> @t610 (tptp.c_Rings_Odvd__class_Odvd @t18 @t472 (tptp.hAPP @t505 @t39)))))) % 1.13/1.32 (assume @p420 (forall @t49 (=> @t277 (=> (tptp.c_Rings_Odvd__class_Odvd @t18 @t26 @t23) @t27)))) % 1.13/1.32 (assume @p421 (forall @t211 (=> @t277 (tptp.c_Rings_Odvd__class_Odvd @t18 @t23 @t287)))) % 1.13/1.32 (assume @p422 (forall @t211 (=> @t277 (tptp.c_Rings_Odvd__class_Odvd @t18 @t23 @t304)))) % 1.13/1.32 (assume @p423 (forall @t182 (=> @t277 (=> @t612 @t611)))) % 1.13/1.32 (assume @p424 (forall @t176 (=> @t277 (=> @t613 @t611)))) % 1.13/1.32 (assume @p425 (forall @t187 (=> @t277 (=> @t612 (=> (tptp.c_Rings_Odvd__class_Odvd @t18 @t45 @t183) (tptp.c_Rings_Odvd__class_Odvd @t18 @t316 @t377)))))) % 1.13/1.32 (assume @p426 (forall (@list @t138 @t166 @t23 @t18) (=> (tptp.class_Rings_Odvd @t18) (=> (= @t23 (tptp.hAPP @t284 @t138)) (tptp.c_Rings_Odvd__class_Odvd @t18 @t166 @t23))))) % 1.13/1.32 (assume @p427 (forall @t182 (=> @t277 (=> @t614 @t613)))) % 1.13/1.32 (assume @p428 (forall @t182 (=> @t277 (=> @t614 @t615)))) % 1.13/1.32 (assume @p429 (forall @t182 (=> @t277 (=> @t612 (=> @t613 (tptp.c_Rings_Odvd__class_Odvd @t18 @t23 @t173)))))) % 1.13/1.32 (assume @p430 (forall @t49 (=> @t277 (tptp.c_Rings_Odvd__class_Odvd @t18 @t462 @t23)))) % 1.13/1.32 (assume @p431 (forall @t216 (=> @t617 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t13 @t551) @t616)))) % 1.13/1.32 (assume @p432 (forall @t216 (=> @t617 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t590 @t212) @t616)))) % 1.13/1.32 (assume @p433 (forall @t566 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t606 @t134) @t134))) % 1.13/1.32 (assume @p434 (forall @t566 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t134 @t606) @t134))) % 1.13/1.32 (assume @p435 (forall @t564 (= @t609 @t618))) % 1.13/1.32 (assume @p436 (forall @t137 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t37 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t135 @t134)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t135 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t37 @t134))))) % 1.13/1.32 (assume @p437 (forall @t573 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t576 @t568) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t571 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t569 @t568))))) % 1.13/1.32 (assume @p438 (forall @t182 (=> @t277 (=> @t612 (=> @t615 @t613))))) % 1.13/1.32 (assume @p439 (forall @t49 (=> @t277 (tptp.c_Rings_Odvd__class_Odvd @t18 @t23 @t23)))) % 1.13/1.32 (assume @p440 (forall @t157 (=> @t619 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t138 @t151) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t138 @t149))))) % 1.13/1.32 (assume @p441 (forall @t622 (=> @t277 (=> @t621 @t620)))) % 1.13/1.32 (assume @p442 (forall @t259 (=> @t277 (=> @t623 @t621)))) % 1.13/1.32 (assume @p443 (forall @t195 (=> @t56 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t322 @t319) @t625)))) % 1.13/1.32 (assume @p444 (forall @t192 (=> @t56 (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t628 @t627) @t625)))) % 1.13/1.32 (assume @p445 (forall (@list @t108 @t166 @t39 @t23 @t18) (=> @t277 (=> (tptp.c_Rings_Odvd__class_Odvd @t18 @t546 @t166) (=> @t133 (tptp.c_Rings_Odvd__class_Odvd @t18 @t588 @t166)))))) % 1.13/1.32 (assume @p446 (forall (@list @t108 @t39 @t135 @t37 @t18) (=> @t277 (=> @t610 (=> @t132 (tptp.c_Rings_Odvd__class_Odvd @t18 @t472 (tptp.hAPP @t505 @t108))))))) % 1.13/1.32 (assume @p447 (forall @t537 (=> @t277 (=> @t133 (tptp.c_Rings_Odvd__class_Odvd @t18 @t588 @t546))))) % 1.13/1.32 (assume @p448 (forall @t632 (=> @t631 (=> @t630 (= (tptp.c_Rings_Odvd__class_Odvd @t51 @t53 (tptp.c_Polynomial_Osmult @t11 @t65 @t59)) @t629))))) % 1.13/1.32 (assume @p449 (forall @t622 (=> @t633 (=> @t621 (=> @t28 @t623))))) % 1.13/1.32 (assume @p450 (forall @t282 (=> @t633 (=> @t620 (=> @t28 @t621))))) % 1.13/1.32 (assume @p451 (forall @t367 (=> @t30 (=> (= @t459 @t457) (=> @t621 (=> (tptp.c_Rings_Odvd__class_Odvd @t47 @t113 @t17) (= @t17 @t113))))))) % 1.13/1.32 (assume @p452 (forall @t632 (=> @t631 (= (tptp.c_Rings_Odvd__class_Odvd @t51 @t77 @t59) (and (=> @t74 @t634) (=> @t630 @t629)))))) % 1.13/1.32 (assume @p453 (forall @t367 (=> @t30 (=> @t621 (=> @t371 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t19 @t232)))))) % 1.13/1.32 (assume @p454 (forall (@list @t65 @t636 @t635 @t11) (= (tptp.hAPP @t637 @t29) @t635))) % 1.13/1.32 (assume @p455 (forall (@list @t67 @t65 @t636 @t635 @t11) (= (tptp.hAPP @t637 @t248) (tptp.hAPP (tptp.hAPP @t636 @t65) (tptp.hAPP @t637 @t67))))) % 1.13/1.32 (assume @p456 (forall @t49 (=> @t638 (= @t428 @t23)))) % 1.13/1.32 (assume @p457 (forall @t79 (=> @t638 (= @t340 @t37)))) % 1.13/1.32 (assume @p458 (forall @t211 (=> @t638 (= (tptp.hAPP @t286 @t287) @t287)))) % 1.13/1.32 (assume @p459 (forall @t79 (=> @t604 (= (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t476) @t37)))) % 1.13/1.32 (assume @p460 (forall (@list @t13 @t639 @t86 @t11) (=> (tptp.class_Groups_Ouminus @t11) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t641 @t639) @t13) (tptp.c_Groups_Ouminus__class_Ouminus @t11 @t640))))) % 1.13/1.32 (assume @p461 (forall @t216 (=> @t605 (= (= @t590 @t551) @t358)))) % 1.13/1.32 (assume @p462 (forall @t96 (=> @t56 (= (= (tptp.hAPP @t55 @t95) @t12) (tptp.c_Rings_Odvd__class_Odvd @t51 (tptp.c_Polynomial_OpCons @t11 @t643 @t642) @t53))))) % 1.13/1.32 (assume @p463 (forall (@list @t53 @t95 @t11) (=> @t56 (= (tptp.c_Rings_Odvd__class_Odvd @t51 (tptp.c_Polynomial_OpCons @t11 @t95 @t642) @t53) (= (tptp.hAPP @t55 @t643) @t12))))) % 1.13/1.32 (assume @p464 (forall @t31 (=> @t30 @t602))) % 1.13/1.32 (assume @p465 (forall (@list @t269 @t644 @t11) (=> (and @t645 (tptp.class_Rings_Osemiring__0 @t11)) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t644 (tptp.hAPP (tptp.hAPP @t309 @t269) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t11 @t269 (tptp.c_Groups_Oplus__class_Oplus @t11 @t3 @t12)) (tptp.hBOOL (tptp.hAPP @t644 @t3)))))))) % 1.13/1.32 (assume @p466 (forall @t343 (=> @t633 (and (=> @t649 (= @t647 @t26)) (=> @t650 (= @t647 @t462)))))) % 1.13/1.32 (assume @p467 (forall @t494 (=> @t42 (=> @t234 (=> @t544 (or @t70 @t651)))))) % 1.13/1.32 (assume @p468 (forall @t466 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t18) (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t37 @t23) (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t135 @t23) (=> @t465 (=> @t464 (=> @t463 (tptp.c_Orderings_Oord__class_Oless @t18 @t461 @t23))))))))) % 1.13/1.32 (assume @p469 (forall @t343 (=> @t469 (= (tptp.c_Groups_Ominus__class_Ominus @t18 (tptp.hAPP @t471 @t552) (tptp.hAPP @t505 @t552)) (tptp.hAPP @t653 @t441))))) % 1.13/1.32 (assume @p470 (forall (@list @t138) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t116 @t138))) % 1.13/1.32 (assume @p471 (forall @t121 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t29)))) % 1.13/1.32 (assume @p472 (forall @t131 (=> @t655 @t654))) % 1.13/1.32 (assume @p473 (forall @t121 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t107))) % 1.13/1.32 (assume @p474 (forall @t343 (=> @t633 (tptp.c_Rings_Odvd__class_Odvd @t47 @t646 @t37)))) % 1.13/1.32 (assume @p475 (forall @t343 (=> @t633 (tptp.c_Rings_Odvd__class_Odvd @t47 @t646 @t135)))) % 1.13/1.32 (assume @p476 (forall @t121 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t107))) % 1.13/1.32 (assume @p477 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t606 @t565)) % 1.13/1.32 (assume @p478 (forall @t661 (=> @t660 (=> @t659 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t658 @t657) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t212)))))) % 1.13/1.32 (assume @p479 (forall @t589 (=> @t528 (=> @t662 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t588 @t546) @t655))))) % 1.13/1.32 (assume @p480 (forall @t550 (=> @t528 (=> @t663 (=> @t662 (tptp.c_Orderings_Oord__class_Oless @t18 @t546 @t548)))))) % 1.13/1.32 (assume @p481 (forall @t666 (= @t665 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t320 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t664))))) % 1.13/1.32 (assume @p482 (forall @t666 (= @t665 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t320) @t664)))) % 1.13/1.32 (assume @p483 (forall @t668 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t308 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t87 @t565)) @t667))) % 1.13/1.32 (assume @p484 (forall @t669 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t565 @t87) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t606 @t87)))) % 1.13/1.32 (assume @p485 (forall (@list @t664 @t126 @t142) (=> (not (= @t142 @t606)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t126 @t664) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t671 (tptp.hAPP @t670 @t664)))))) % 1.13/1.32 (assume @p486 (forall @t406 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t673 @t108) (tptp.hAPP @t673 @t39)) (=> (not (= @t138 @t606)) @t672)))) % 1.13/1.32 (assume @p487 (forall @t681 (=> @t680 (= @t679 (tptp.c_Orderings_Oord__class_Oless @t11 @t676 @t320))))) % 1.13/1.32 (assume @p488 (forall @t681 (=> @t680 (= @t679 (tptp.c_Orderings_Oord__class_Oless @t11 @t95 @t682))))) % 1.13/1.32 (assume @p489 (forall @t690 (= @t689 (and (=> @t688 @t687) (forall @t686 (=> @t685 @t684)))))) % 1.13/1.32 (assume @p490 (forall @t690 (= @t689 (not (or (and @t688 (not @t687)) (exists @t686 (and @t685 (not @t684)))))))) % 1.13/1.32 (assume @p491 (forall (@list @t39 @t138) (=> @t692 (=> @t691 @t162)))) % 1.13/1.32 (assume @p492 (forall @t406 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t405 @t404) (=> @t694 @t693)))) % 1.13/1.32 (assume @p493 (forall @t145 (=> @t697 (= @t696 @t695)))) % 1.13/1.32 (assume @p494 (forall @t211 (=> @t497 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t698 @t166) @t23)))) % 1.13/1.32 (assume @p495 (forall @t211 (=> @t497 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t180 @t166) @t23)))) % 1.13/1.32 (assume @p496 (forall @t211 (=> @t481 (= (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t698) (tptp.c_Groups_Ominus__class_Ominus @t18 @t166 @t23))))) % 1.13/1.32 (assume @p497 (forall @t195 (=> @t191 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t194 @t193) @t699)))) % 1.13/1.32 (assume @p498 (forall @t192 (=> @t191 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t190 @t189) @t699)))) % 1.13/1.32 (assume @p499 (forall @t182 (=> @t702 (=> @t701 @t700)))) % 1.13/1.32 (assume @p500 (forall @t182 (=> @t702 (=> @t701 @t703)))) % 1.13/1.32 (assume @p501 (forall @t187 (=> @t702 (=> @t701 @t706)))) % 1.13/1.32 (assume @p502 (forall @t176 (=> @t171 (=> @t700 @t701)))) % 1.13/1.32 (assume @p503 (forall @t172 (=> @t171 (=> @t703 @t701)))) % 1.13/1.32 (assume @p504 (forall @t425 (=> @t499 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t65 @t490) (tptp.c_Orderings_Oord__class_Oless @t11 @t64 @t491))))) % 1.13/1.32 (assume @p505 (forall @t425 (=> @t499 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t491 @t64) (tptp.c_Orderings_Oord__class_Oless @t11 @t490 @t65))))) % 1.13/1.32 (assume @p506 (forall @t276 (=> @t499 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t490 @t491) @t699)))) % 1.13/1.32 (assume @p507 (forall (@list @t67 @t142) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t142 @t146) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t142 @t67)))) % 1.13/1.32 (assume @p508 (forall @t165 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t163 @t139) @t707))) % 1.13/1.32 (assume @p509 (forall @t406 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t709 @t708) @t707))) % 1.13/1.32 (assume @p510 (forall @t157 (= @t711 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t151 @t155)))) % 1.13/1.32 (assume @p511 (forall @t123 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t124 @t39) @t108))) % 1.13/1.32 (assume @p512 (forall @t131 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t122 @t39) @t108))) % 1.13/1.32 (assume @p513 (forall @t157 (=> @t712 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t151 @t138) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t149 @t138))))) % 1.13/1.32 (assume @p514 (forall @t131 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t606 @t108) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t108 @t39) (not @t713))))) % 1.13/1.32 (assume @p515 (forall @t131 (=> @t715 (=> @t655 (not @t714))))) % 1.13/1.32 (assume @p516 (forall @t131 (=> @t717 @t716))) % 1.13/1.32 (assume @p517 (forall @t722 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t719 @t721) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t720 @t718)))) % 1.13/1.32 (assume @p518 (forall (@list @t13 @t723 @t639 @t86 @t11) (=> (tptp.class_Groups_Ominus @t11) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t641 @t639 @t723) @t13) (tptp.c_Groups_Ominus__class_Ominus @t11 @t640 (tptp.hAPP @t723 @t13)))))) % 1.13/1.32 (assume @p519 (forall @t328 (=> @t469 (=> @t610 (=> (tptp.c_Rings_Odvd__class_Odvd @t18 @t37 @t134) (tptp.c_Rings_Odvd__class_Odvd @t18 @t37 (tptp.c_Groups_Ominus__class_Ominus @t18 @t135 @t134))))))) % 1.13/1.32 (assume @p520 (forall @t406 (=> @t725 (=> @t724 (=> @t132 @t692))))) % 1.13/1.32 (assume @p521 (forall @t406 (=> @t725 (=> @t692 (=> @t132 @t724))))) % 1.13/1.32 (assume @p522 (forall (@list @t134 @t726 @t560 @t727) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t560) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t726 @t134) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t727 @t726) @t618))))) % 1.13/1.32 (assume @p523 (forall (@list @t39 @t134) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t134 @t39) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t606 @t39) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t134 @t39))))) % 1.13/1.32 (assume @p524 (forall @t131 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 @t108) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 @t39) (=> @t672 (=> @t713 @t148)))))) % 1.13/1.32 (assume @p525 (forall @t131 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t707 @t108))) % 1.13/1.32 (assume @p526 (forall @t730 (=> @t133 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t729 @t728)))) % 1.13/1.32 (assume @p527 (forall @t730 (=> @t133 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t158) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t39 @t158))))) % 1.13/1.32 (assume @p528 (forall @t598 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t151 @t39) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t39 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t39 @t151)) @t151)))) % 1.13/1.32 (assume @p529 (forall @t145 (=> @t734 (=> @t733 (= (= @t732 @t731) @t141))))) % 1.13/1.32 (assume @p530 (forall @t406 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t138 @t108) (=> @t162 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t138) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t39 @t138)) @t707))))) % 1.13/1.32 (assume @p531 (forall @t145 (=> @t734 (=> @t733 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t732 @t731) @t129))))) % 1.13/1.32 (assume @p532 (forall @t577 (= (tptp.hAPP (tptp.hAPP @t513 @t735) @t560) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t575 @t574)))) % 1.13/1.32 (assume @p533 (forall @t580 (= (tptp.hAPP @t567 @t735) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t579 @t578)))) % 1.13/1.32 (assume @p534 (forall @t140 (= (tptp.hAPP (tptp.hAPP @t389 @t707) @t138) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t409 @t408)))) % 1.13/1.32 (assume @p535 (forall @t406 (= (tptp.hAPP @t403 @t707) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t405 @t404)))) % 1.13/1.32 (assume @p536 (forall @t121 (=> @t488 @t691))) % 1.13/1.32 (assume @p537 (forall @t131 (=> @t655 @t488))) % 1.13/1.32 (assume @p538 (forall @t242 (= @t591 @t736))) % 1.13/1.32 (assume @p539 (forall @t78 (=> @t481 (= (tptp.c_Groups_Ominus__class_Ominus @t47 @t17 @t48) @t17)))) % 1.13/1.32 (assume @p540 (forall @t130 (= (not @t738) @t737))) % 1.13/1.32 (assume @p541 (forall @t130 (= @t740 @t739))) % 1.13/1.32 (assume @p542 (forall @t130 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t250 @t248) @t738))) % 1.13/1.32 (assume @p543 (forall @t251 (=> (not @t742) @t741))) % 1.13/1.32 (assume @p544 (forall @t123 (=> (not @t743) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t109) @t148)))) % 1.13/1.32 (assume @p545 (forall @t131 (=> @t655 @t744))) % 1.13/1.32 (assume @p546 (forall @t131 (=> @t655 (=> (not (= @t109 @t39)) @t745)))) % 1.13/1.32 (assume @p547 (forall @t157 (=> @t748 (=> @t747 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t746 @t138))))) % 1.13/1.32 (assume @p548 (forall @t131 (=> @t744 (=> @t717 @t148)))) % 1.13/1.32 (assume @p549 (forall @t131 (=> @t745 @t655))) % 1.13/1.32 (assume @p550 (forall @t131 (=> @t654 @t655))) % 1.13/1.32 (assume @p551 (forall @t749 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t126 @t477) @t522))) % 1.13/1.32 (assume @p552 (forall (@list @t149 @t151) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t453 @t151)))) % 1.13/1.32 (assume @p553 (forall (@list @t151 @t149) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t750 @t151)))) % 1.13/1.32 (assume @p554 (forall @t145 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t144 @t143) @t738))) % 1.13/1.32 (assume @p555 (forall @t153 (=> @t748 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t151 @t150)))) % 1.13/1.32 (assume @p556 (forall @t153 (=> @t748 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t151 @t154)))) % 1.13/1.32 (assume @p557 (forall @t157 (=> @t748 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t156 @t155)))) % 1.13/1.32 (assume @p558 (forall @t161 (=> @t748 (=> @t751 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t156 @t159))))) % 1.13/1.32 (assume @p559 (forall (@list @t39 @t108 @t158 @t138) (=> @t751 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t158) @t708) @t655)))) % 1.13/1.32 (assume @p560 (forall @t157 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t453 @t138) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t151 @t138)))) % 1.13/1.32 (assume @p561 (forall @t137 (=> @t753 @t752))) % 1.13/1.32 (assume @p562 (forall @t274 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t134) @t752))) % 1.13/1.32 (assume @p563 (forall @t130 (= @t738 (and @t129 @t754)))) % 1.13/1.32 (assume @p564 (forall @t130 (= @t129 @t739))) % 1.13/1.32 (assume @p565 (forall @t131 (=> @t655 @t133))) % 1.13/1.32 (assume @p566 (forall @t131 (=> @t133 (=> @t536 @t655)))) % 1.13/1.32 (assume @p567 (forall @t131 (=> (or @t655 @t148) @t133))) % 1.13/1.32 (assume @p568 (forall @t266 (=> @t753 @t273))) % 1.13/1.32 (assume @p569 (forall @t157 (=> @t712 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t606 @t138) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t673 @t151) (tptp.hAPP @t673 @t149)))))) % 1.13/1.32 (assume @p570 (forall @t259 (=> @t482 (= (tptp.c_Polynomial_Osmult @t18 @t23 @t755) (tptp.c_Groups_Ominus__class_Ominus @t47 @t24 @t258))))) % 1.13/1.32 (assume @p571 (forall @t539 (=> @t481 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t755) @t39) (tptp.c_Groups_Ominus__class_Ominus @t18 @t493 @t538))))) % 1.13/1.32 (assume @p572 (forall (@list @t560) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t560 @t560))) % 1.13/1.32 (assume @p573 (forall @t564 (or @t757 @t756))) % 1.13/1.32 (assume @p574 (forall (@list @t308 @t87) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t87 @t308) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t87 @t308) (not (= @t87 @t308)))))) % 1.13/1.32 (assume @p575 (forall @t157 (=> @t619 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t149 @t138) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t151 @t138))))) % 1.13/1.32 (assume @p576 (forall @t564 (=> @t757 (=> @t756 (= @t134 @t560))))) % 1.13/1.32 (assume @p577 (forall @t145 (=> @t734 (=> @t733 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t732 @t731) @t738))))) % 1.13/1.32 (assume @p578 (forall @t758 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t23 @t166) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t45 @t23) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t23 @t45) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t166 @t45)))))) % 1.13/1.32 (assume @p579 (forall @t343 (=> @t543 @t763))) % 1.13/1.32 (assume @p580 (forall @t121 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t39)))) % 1.13/1.32 (assume @p581 (forall @t130 (= @t754 (or @t738 @t742)))) % 1.13/1.32 (assume @p582 (forall @t266 (=> @t762 (=> (not @t753) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t135 @t37))))) % 1.13/1.32 (assume @p583 (forall @t123 (=> @t743 @t536))) % 1.13/1.32 (assume @p584 (forall (@list @t764 @t44) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t764) (not (= @t44 @t764))))) % 1.13/1.32 (assume @p585 (forall (@list @t39 @t138 @t149) (=> @t747 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t149 @t39) @t138)))) % 1.13/1.32 (assume @p586 (forall @t730 (=> @t655 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t158) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t729 @t728))))) % 1.13/1.32 (assume @p587 (forall (@list @t644 @t67 @t126) (=> (=> @t738 @t765) (=> (=> @t141 @t765) (=> (=> @t742 @t765) @t765))))) % 1.13/1.32 (assume @p588 (forall @t425 (=> @t499 (= @t699 (tptp.c_Orderings_Oord__class_Oless @t11 @t675 @t12))))) % 1.13/1.32 (assume @p589 (forall @t211 (=> @t633 (= @t766 (tptp.c_Polynomial_Opoly__gcd @t18 @t166 @t23))))) % 1.13/1.32 (assume @p590 (forall @t179 (=> @t633 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t166 (tptp.c_Polynomial_Opoly__gcd @t18 @t23 @t45)) @t767)))) % 1.13/1.32 (assume @p591 (forall @t182 (=> @t633 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t766 @t45) @t767)))) % 1.13/1.32 (assume @p592 (forall @t324 (=> @t478 (=> @t768 (= @t66 @t323))))) % 1.13/1.32 (assume @p593 (forall @t324 (=> @t499 (=> @t768 (= @t699 (tptp.c_Orderings_Oord__class_Oless @t11 @t95 @t320)))))) % 1.13/1.32 (assume @p594 (forall @t247 (=> @t481 (= (tptp.c_Groups_Ominus__class_Ominus @t47 @t40 @t246) (tptp.c_Polynomial_Omonom @t18 @t698 @t39))))) % 1.13/1.32 (assume @p595 (forall @t235 (=> @t481 (=> @t651 (=> @t770 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t769 @t39)))))) % 1.13/1.32 (assume @p596 (forall @t237 (=> @t482 (= (tptp.c_Polynomial_Osmult @t18 @t698 @t17) (tptp.c_Groups_Ominus__class_Ominus @t47 @t24 @t236))))) % 1.13/1.32 (assume @p597 (forall @t230 (=> @t482 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t18 @t755) @t37) (tptp.c_Groups_Ominus__class_Ominus @t18 @t229 @t228))))) % 1.13/1.32 (assume @p598 (forall @t227 (=> @t481 (= (tptp.c_Groups_Ominus__class_Ominus @t47 @t71 @t225) (tptp.c_Polynomial_OpCons @t18 @t698 @t755))))) % 1.13/1.32 (assume @p599 (forall @t131 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t707 @t109))) % 1.13/1.32 (assume @p600 (forall @t251 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t67 @t126)) @t738))) % 1.13/1.32 (assume @p601 (forall @t123 (=> @t691 (=> @t715 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t707 @t108))))) % 1.13/1.32 (assume @p602 (forall @t271 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t142 @t269) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t142 @t269) @t606)))) % 1.13/1.32 (assume @p603 (forall @t79 (=> @t267 (not (tptp.c_Orderings_Oord__class_Oless @t18 @t37 @t37))))) % 1.13/1.32 (assume @p604 (forall @t216 (=> @t774 (= @t773 (or @t772 @t771))))) % 1.13/1.32 (assume @p605 (forall @t216 (=> @t774 (= @t775 (or @t771 @t358))))) % 1.13/1.32 (assume @p606 (forall @t343 (=> @t346 (or @t760 @t265 @t759)))) % 1.13/1.32 (assume @p607 (forall @t363 (=> @t774 (=> (not @t771) @t776)))) % 1.13/1.32 (assume @p608 (forall @t343 (=> @t346 @t763))) % 1.13/1.32 (assume @p609 (forall @t343 (=> @t351 (=> @t760 @t762)))) % 1.13/1.32 (assume @p610 (forall @t343 (=> @t267 (=> @t760 (not @t759))))) % 1.13/1.32 (assume @p611 (forall @t343 (=> @t351 (=> @t760 @t777)))) % 1.13/1.32 (assume @p612 (forall @t211 (=> @t267 (=> @t701 (not @t778))))) % 1.13/1.32 (assume @p613 (forall @t779 (=> @t351 (=> @t778 (not @t701))))) % 1.13/1.32 (assume @p614 (forall @t182 (=> @t357 (=> @t331 (=> @t781 @t780))))) % 1.13/1.32 (assume @p615 (forall @t182 (=> @t351 (=> @t331 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t45 @t166) @t782))))) % 1.13/1.32 (assume @p616 (forall @t182 (=> @t357 (=> @t701 (=> @t177 @t780))))) % 1.13/1.32 (assume @p617 (forall @t179 (=> @t351 (=> @t778 (=> @t177 @t782))))) % 1.13/1.32 (assume @p618 (forall @t328 (=> @t267 (=> @t760 @t784)))) % 1.13/1.32 (assume @p619 (forall @t352 (=> @t351 (=> @t759 @t786)))) % 1.13/1.32 (assume @p620 (forall @t343 (=> @t346 (=> @t761 (=> @t762 @t759))))) % 1.13/1.32 (assume @p621 (forall @t131 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t109 @t107) @t707))) % 1.13/1.32 (assume @p622 (forall @t140 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t787 (tptp.c_Nat_OSuc @t138)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t707 @t138)))) % 1.13/1.32 (assume @p623 (forall @t131 (=> @t788 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t39 @t108) @t29) @t148)))) % 1.13/1.32 (assume @p624 (forall @t110 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t108) @t29))) % 1.13/1.32 (assume @p625 (forall @t110 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t29) @t108))) % 1.13/1.32 (assume @p626 (forall @t121 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t39) @t29))) % 1.13/1.32 (assume @p627 (forall @t216 (=> @t774 (= @t775 @t361)))) % 1.13/1.32 (assume @p628 (forall @t216 (=> @t774 (= (not @t359) @t771)))) % 1.13/1.32 (assume @p629 (forall @t343 (=> @t346 (or @t345 @t759)))) % 1.13/1.32 (assume @p630 (forall @t216 (=> @t362 (= @t772 (and @t359 @t773))))) % 1.13/1.32 (assume @p631 (forall @t216 (=> (tptp.class_Orderings_Opreorder @t11) (= @t772 (and @t359 (not @t361)))))) % 1.13/1.32 (assume @p632 (forall @t216 (=> @t362 (= @t359 (or @t772 @t358))))) % 1.13/1.32 (assume @p633 (forall @t343 (=> @t346 (=> @t761 @t344)))) % 1.13/1.32 (assume @p634 (forall @t353 (=> @t346 (=> (not @t344) @t760)))) % 1.13/1.32 (assume @p635 (forall @t216 (=> @t774 (=> @t775 @t360)))) % 1.13/1.32 (assume @p636 (forall @t211 (=> @t351 (=> @t789 (=> @t167 @t701))))) % 1.13/1.32 (assume @p637 (forall @t211 (=> @t351 (=> @t789 (=> @t219 @t778))))) % 1.13/1.32 (assume @p638 (forall @t353 (=> @t346 (=> @t344 @t761)))) % 1.13/1.32 (assume @p639 (forall @t343 (=> @t267 (=> @t760 @t345)))) % 1.13/1.32 (assume @p640 (forall @t216 (=> @t774 (=> @t359 @t776)))) % 1.13/1.32 (assume @p641 (forall @t343 (=> @t351 (=> @t345 (or @t760 @t265))))) % 1.13/1.32 (assume @p642 (forall @t211 (=> @t351 (=> @t167 (=> @t789 @t701))))) % 1.13/1.32 (assume @p643 (forall @t779 (=> @t351 (=> @t219 (=> @t789 @t778))))) % 1.13/1.32 (assume @p644 (forall @t328 (=> @t267 (=> @t760 (=> @t354 @t783))))) % 1.13/1.32 (assume @p645 (forall @t352 (=> @t351 (=> @t759 (=> @t350 @t785))))) % 1.13/1.32 (assume @p646 (forall @t328 (=> @t267 (=> @t345 @t784)))) % 1.13/1.32 (assume @p647 (forall @t352 (=> @t351 (=> @t344 @t786)))) % 1.13/1.32 (assume @p648 (forall @t364 (=> @t349 (= (tptp.c_Orderings_Oord__class_Oless @t347 @t2 @t1) (and @t348 (not (tptp.c_Orderings_Oord__class_Oless__eq @t347 @t1 @t2))))))) % 1.13/1.32 (assume @p649 (forall @t436 (=> @t435 (= (tptp.hAPP @t286 (tptp.c_Groups_Ominus__class_Ominus @t18 @t166 @t433)) (tptp.c_Groups_Ominus__class_Ominus @t18 @t287 @t434))))) % 1.13/1.32 (assume @p650 (forall @t442 (=> @t435 (= (tptp.hAPP @t438 @t652) (tptp.c_Groups_Ominus__class_Ominus @t18 @t440 @t439))))) % 1.13/1.32 (assume @p651 (forall @t445 (=> @t435 (= (tptp.hAPP (tptp.hAPP @t283 (tptp.c_Groups_Ominus__class_Ominus @t18 @t23 @t443)) @t166) (tptp.c_Groups_Ominus__class_Ominus @t18 @t287 @t444))))) % 1.13/1.32 (assume @p652 (forall @t449 (=> @t435 (= (tptp.hAPP @t653 @t446) (tptp.c_Groups_Ominus__class_Ominus @t18 @t448 @t447))))) % 1.13/1.32 (assume @p653 (forall @t324 (=> @t499 (=> @t768 (= @t188 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t95 @t320)))))) % 1.13/1.32 (assume @p654 (forall @t425 (=> @t492 (= @t790 @t66)))) % 1.13/1.32 (assume @p655 (forall @t425 (=> @t478 (= @t66 @t790)))) % 1.13/1.32 (assume @p656 (forall @t49 (=> @t497 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t23 @t23) @t26)))) % 1.13/1.32 (assume @p657 (forall @t49 (=> @t497 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t23 @t26) @t23)))) % 1.13/1.32 (assume @p658 (forall (@list @t151 @t39) (=> @t691 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t39 @t746) @t39)))) % 1.13/1.32 (assume @p659 (forall @t121 (=> @t691 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t39 @t116)) @t39)))) % 1.13/1.32 (assume @p660 (forall @t550 (=> @t528 (=> @t663 (=> @t792 (=> @t791 (tptp.c_Orderings_Oord__class_Oless @t18 @t548 @t546))))))) % 1.13/1.32 (assume @p661 (forall @t43 (=> @t528 (=> @t662 (=> @t691 (tptp.c_Orderings_Oord__class_Oless @t18 @t462 @t546)))))) % 1.13/1.32 (assume @p662 (forall @t121 (=> @t691 (= @t39 @t794)))) % 1.13/1.32 (assume @p663 (forall @t121 (=> @t691 (= @t794 @t39)))) % 1.13/1.32 (assume @p664 (forall @t216 (=> @t631 (= (= @t796 @t52) (and (= @t13 @t52) @t795))))) % 1.13/1.32 (assume @p665 (forall @t76 (=> @t633 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t48 @t48) @t48)))) % 1.13/1.32 (assume @p666 (forall @t130 (=> @t797 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t390 @t126) @t126) @t521)))) % 1.13/1.32 (assume @p667 (forall @t130 (=> @t797 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t398 @t126) @t521)))) % 1.13/1.32 (assume @p668 (forall @t805 (=> @t804 (= @t803 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t126 @t800))))) % 1.13/1.32 (assume @p669 (forall @t808 (=> @t807 (= @t803 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t806 @t67))))) % 1.13/1.32 (assume @p670 (forall @t810 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t809 @t597) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t477 @t151) @t133)))) % 1.13/1.32 (assume @p671 (forall (@list @t212 @t13 @t142 @t11) (=> @t631 (= (tptp.c_Rings_Odvd__class_Odvd @t51 @t142 @t796) (and (tptp.c_Rings_Odvd__class_Odvd @t51 @t142 @t13) (tptp.c_Rings_Odvd__class_Odvd @t51 @t142 @t212)))))) % 1.13/1.32 (assume @p672 (forall (@list @t135 @t37 @t138 @t18) (=> @t633 (=> (tptp.c_Rings_Odvd__class_Odvd @t47 @t138 @t37) (=> (tptp.c_Rings_Odvd__class_Odvd @t47 @t138 @t135) (tptp.c_Rings_Odvd__class_Odvd @t47 @t138 @t646)))))) % 1.13/1.32 (assume @p673 (forall @t343 (=> @t633 (= (tptp.c_Polynomial_Opoly__gcd @t18 (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t37) @t135) @t646)))) % 1.13/1.32 (assume @p674 (forall @t343 (=> @t633 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t37 (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t135)) @t646)))) % 1.13/1.32 (assume @p675 (forall @t79 (=> @t633 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t37 @t486) @t486)))) % 1.13/1.32 (assume @p676 (forall @t450 (=> @t633 (= (tptp.c_Polynomial_Opoly__gcd @t18 @t486 @t135) @t486)))) % 1.13/1.32 (assume @p677 (forall @t338 (=> @t528 (=> @t701 (=> @t209 (=> @t691 @t811)))))) % 1.13/1.32 (assume @p678 (forall @t812 (=> @t517 (=> @t691 (= (tptp.hAPP (tptp.hAPP @t283 (tptp.hAPP @t471 @t793)) @t37) @t472))))) % 1.13/1.32 (assume @p679 (forall @t425 (=> @t499 (= @t188 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t675 @t12))))) % 1.13/1.32 (assume @p680 (forall @t817 (=> @t501 (= @t816 (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP @t325 @t815) @t814))))) % 1.13/1.32 (assume @p681 (forall @t817 (=> @t435 (= @t816 (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.c_Groups_Oplus__class_Oplus @t18 (tptp.hAPP @t813 @t815) @t814) (tptp.hAPP @t286 @t815)))))) % 1.13/1.32 (assume @p682 (forall @t681 (=> @t819 (= @t818 (= @t95 @t682))))) % 1.13/1.32 (assume @p683 (forall @t681 (=> @t819 (= @t818 (= @t676 @t320))))) % 1.13/1.32 (assume @p684 (forall (@list @t664 @t820 @t320 @t11) (=> (and (tptp.class_Rings_Ocomm__ring @t11) @t645) (=> (tptp.c_Rings_Odvd__class_Odvd @t11 @t320 @t820) (forall (@list @t3 @t125) (= (tptp.c_Rings_Odvd__class_Odvd @t11 @t320 (tptp.c_Groups_Oplus__class_Oplus @t11 @t3 @t664)) (tptp.c_Rings_Odvd__class_Odvd @t11 @t320 (tptp.c_Groups_Oplus__class_Oplus @t11 (tptp.c_Groups_Ominus__class_Ominus @t11 @t3 (tptp.hAPP (tptp.hAPP @t309 @t125) @t820)) @t664)))))))) % 1.13/1.32 (assume @p685 (forall @t49 (=> @t497 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t26 @t23) @t480)))) % 1.13/1.32 (assume @p686 (forall @t211 (=> @t497 @t821))) % 1.13/1.32 (assume @p687 (forall @t211 (=> @t481 @t821))) % 1.13/1.32 (assume @p688 (forall @t211 (=> @t497 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t23 @t498) @t180)))) % 1.13/1.32 (assume @p689 (forall @t343 (=> @t469 (= @t652 (tptp.c_Groups_Oplus__class_Oplus @t18 @t37 @t603))))) % 1.13/1.32 (assume @p690 (forall @t179 (=> @t824 (=> @t778 (=> @t823 @t822))))) % 1.13/1.32 (assume @p691 (forall @t179 (=> @t824 (=> @t778 (=> @t823 @t825))))) % 1.13/1.32 (assume @p692 (forall @t182 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t18) @t827))) % 1.13/1.32 (assume @p693 (forall @t182 (=> @t828 @t827))) % 1.13/1.32 (assume @p694 (forall @t182 (=> @t828 (=> @t701 (=> @t826 @t825))))) % 1.13/1.32 (assume @p695 (forall @t211 (=> @t824 (=> @t831 (=> @t830 @t829))))) % 1.13/1.32 (assume @p696 (forall @t211 (=> @t828 (=> @t831 (=> @t833 @t832))))) % 1.13/1.32 (assume @p697 (forall @t192 (=> @t336 (=> @t836 (= @t835 @t834))))) % 1.13/1.32 (assume @p698 (forall @t779 (=> @t828 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t304) @t837)))) % 1.13/1.32 (assume @p699 (forall @t211 (=> @t828 (=> @t829 @t837)))) % 1.13/1.32 (assume @p700 (forall @t211 (=> @t828 (=> @t792 (=> @t830 (tptp.c_Orderings_Oord__class_Oless @t18 @t304 @t26)))))) % 1.13/1.32 (assume @p701 (forall @t211 (=> @t828 (=> @t792 (=> @t830 @t832))))) % 1.13/1.32 (assume @p702 (forall @t211 (=> @t828 (=> @t792 (=> @t833 @t829))))) % 1.13/1.32 (assume @p703 (forall @t192 (=> @t336 (=> @t838 (= @t835 @t699))))) % 1.13/1.32 (assume @p704 (forall @t192 (=> @t336 (= @t835 @t839)))) % 1.13/1.32 (assume @p705 (forall @t195 (=> @t336 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t322 @t319) @t839)))) % 1.13/1.32 (assume @p706 (forall @t49 (=> @t342 (not (tptp.c_Orderings_Oord__class_Oless @t18 @t428 @t26))))) % 1.13/1.32 (assume @p707 (forall @t206 (=> @t842 @t841))) % 1.13/1.32 (assume @p708 (forall @t211 (=> @t210 (=> @t831 @t844)))) % 1.13/1.32 (assume @p709 (forall @t211 (=> @t210 (=> @t792 @t846)))) % 1.13/1.32 (assume @p710 (forall @t206 (=> @t205 @t841))) % 1.13/1.32 (assume @p711 (forall @t206 (=> @t205 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t204) @t847)))) % 1.13/1.32 (assume @p712 (forall @t182 (=> @t528 (=> @t792 @t849)))) % 1.13/1.32 (assume @p713 (forall @t187 (=> @t702 (=> @t701 (=> @t185 @t704))))) % 1.13/1.32 (assume @p714 (forall @t187 (=> @t702 (=> @t167 @t706)))) % 1.13/1.32 (assume @p715 (forall @t76 (=> @t528 (not (tptp.c_Orderings_Oord__class_Oless @t18 @t462 @t26))))) % 1.13/1.32 (assume @p716 (forall @t76 (=> @t528 (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t462)))) % 1.13/1.32 (assume @p717 (forall @t206 (=> @t842 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t65 @t491) @t840)))) % 1.13/1.32 (assume @p718 (forall @t206 (=> @t499 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t491) @t840)))) % 1.13/1.32 (assume @p719 (forall @t206 (=> @t499 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t491 @t12) @t847)))) % 1.13/1.32 (assume @p720 (forall @t206 (=> @t205 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t491 @t65) @t847)))) % 1.13/1.32 (assume @p721 (forall (@list @t39 @t108 @t18) (=> @t528 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t462 @t108) (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t462 @t39) (tptp.c_Orderings_Oord__class_Oless @t18 @t462 (tptp.hAPP @t850 @t39))))))) % 1.13/1.32 (assume @p722 (forall @t43 (=> @t528 (=> @t792 (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t546))))) % 1.13/1.32 (assume @p723 (forall (@list @t126 @t67 @t142) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t142 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t67 @t671)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t142 @t67)))) % 1.13/1.32 (assume @p724 (forall (@list @t95 @t664 @t13 @t320 @t65) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t65 @t320) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t65 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 @t664)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t65 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 (tptp.hAPP (tptp.hAPP @t513 @t95) @t320)) @t664)))))) % 1.13/1.32 (assume @p725 (forall @t49 (=> @t528 (tptp.c_Orderings_Oord__class_Oless @t18 @t23 @t529)))) % 1.13/1.32 (assume @p726 (forall @t749 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t126 @t116) @t261))) % 1.13/1.32 (assume @p727 (forall (@list @t67 @t126 @t65 @t11) (=> @t660 (=> (tptp.c_Orderings_Oord__class_Oless @t11 @t473 @t65) (= (= (tptp.hAPP @t592 @t126) @t593) @t141))))) % 1.13/1.32 (assume @p728 (forall @t123 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t39 @t124) @t29))) % 1.13/1.32 (assume @p729 (forall @t131 (=> @t133 @t788))) % 1.13/1.32 (assume @p730 (forall @t130 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t126 @t67) @t29) @t129))) % 1.13/1.32 (assume @p731 (forall @t123 (=> @t132 (= @t787 (tptp.c_Nat_OSuc @t707))))) % 1.13/1.32 (assume @p732 (forall @t145 (= @t696 (or @t387 @t695)))) % 1.13/1.32 (assume @p733 (forall @t855 (=> @t854 (= @t853 @t852)))) % 1.13/1.32 (assume @p734 (forall @t855 (=> @t854 (= @t852 @t853)))) % 1.13/1.32 (assume @p735 (forall @t855 (=> @t854 (= @t857 @t856)))) % 1.13/1.32 (assume @p736 (forall @t722 (=> @t804 (= (= @t799 @t142) (= @t718 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t142 @t719)))))) % 1.13/1.32 (assume @p737 (forall @t123 (=> @t132 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t707 @t39) @t108)))) % 1.13/1.32 (assume @p738 (forall (@list @t719 @t718 @t142) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t142 @t718) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t719 @t721) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t720 @t718))))) % 1.13/1.32 (assume @p739 (forall @t855 (=> @t854 (= @t856 @t857)))) % 1.13/1.32 (assume @p740 (forall @t123 (=> @t132 @t716))) % 1.13/1.32 (assume @p741 (forall (@list @t108 @t39 @t138) (=> @t162 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t108 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t124 @t138))))) % 1.13/1.32 (assume @p742 (forall (@list @t719 @t142 @t718) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t721 @t719) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t718 @t720)))) % 1.13/1.32 (assume @p743 (forall @t855 (=> @t854 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t151 @t851) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t156 @t149))))) % 1.13/1.32 (assume @p744 (forall @t121 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t107 @t477) @t39))) % 1.13/1.32 (assume @p745 (forall @t131 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t107) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t858 @t39)))) % 1.13/1.32 (assume @p746 (forall @t235 (=> @t481 (=> @t234 (=> @t233 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t769 @t39)))))) % 1.13/1.32 (assume @p747 (forall @t242 (= @t736 (exists (@list @t859) (= @t67 (tptp.c_Nat_OSuc @t859)))))) % 1.13/1.32 (assume @p748 (forall @t242 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67 @t116) @t239))) % 1.13/1.32 (assume @p749 (forall @t130 (= @t740 (or @t240 (exists (@list @t860) (and (= @t126 (tptp.c_Nat_OSuc @t860)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t860 @t67))))))) % 1.13/1.32 (assume @p750 (forall @t564 (= @t862 @t861))) % 1.13/1.32 (assume @p751 (forall @t564 (= @t861 @t862))) % 1.13/1.32 (assume @p752 (forall @t130 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t241) (or @t797 @t736)))) % 1.13/1.32 (assume @p753 (forall @t863 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t151 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t151 @t108))))) % 1.13/1.32 (assume @p754 (forall @t863 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t151 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t108 @t151))))) % 1.13/1.32 (assume @p755 (forall @t130 (= @t738 (exists @t128 (= @t67 (tptp.c_Nat_OSuc @t127)))))) % 1.13/1.32 (assume @p756 (forall @t251 (= @t742 @t249))) % 1.13/1.32 (assume @p757 (forall @t130 (= @t740 @t129))) % 1.13/1.32 (assume @p758 (forall @t130 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t250 @t67) @t738))) % 1.13/1.32 (assume @p759 (forall @t131 (=> @t133 @t744))) % 1.13/1.32 (assume @p760 (forall @t131 (=> @t655 @t253))) % 1.13/1.32 (assume @p761 (forall @t130 (=> @t129 @t741))) % 1.13/1.32 (assume @p762 (forall @t131 (=> @t253 @t655))) % 1.13/1.32 (assume @p763 (forall @t130 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t398) (and @t797 @t736)))) % 1.13/1.32 (assume @p764 (forall @t145 (= @t865 @t864))) % 1.13/1.32 (assume @p765 (forall @t147 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t393 @t391) @t864))) % 1.13/1.32 (assume @p766 (forall @t157 (=> @t748 (=> @t694 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t414 @t412))))) % 1.13/1.32 (assume @p767 (forall @t157 (=> @t748 (=> @t694 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t416 @t415))))) % 1.13/1.32 (assume @p768 (forall @t145 (=> @t697 (= @t865 @t738)))) % 1.13/1.32 (assume @p769 (forall @t145 (=> @t697 (= @t397 @t141)))) % 1.13/1.32 (assume @p770 (forall @t145 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t402 @t401) @t738))) % 1.13/1.32 (assume @p771 (forall @t566 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 @t134) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t606 @t607)))) % 1.13/1.32 (assume @p772 (forall @t668 (= @t866 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t308 @t87)))) % 1.13/1.32 (assume @p773 (forall @t668 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t308 @t565) @t87) @t667))) % 1.13/1.32 (assume @p774 (forall (@list @t134 @t560) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t560 @t134) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t560 @t565) @t134)))) % 1.13/1.32 (assume @p775 (forall @t668 (= @t866 (or @t667 (= @t308 @t87))))) % 1.13/1.32 (assume @p776 (forall @t669 (= (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 @t565 @t87) @t87) @t606) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t87 @t606)))) % 1.13/1.32 (assume @p777 (forall @t130 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t606 @t126) (= (= (tptp.hAPP (tptp.hAPP @t513 @t126) @t67) @t565) (and (= @t126 @t565) (= @t67 @t565)))))) % 1.13/1.32 (assume @p778 (forall @t257 (=> @t481 (= (tptp.c_Groups_Ominus__class_Ominus @t47 @t48 @t113) (tptp.c_Groups_Ouminus__class_Ouminus @t47 @t113))))) % 1.13/1.32 (assume @p779 (forall @t869 (= @t868 (or @t867 @t239)))) % 1.13/1.32 (assume @p780 (forall @t810 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t151) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t809 @t597) @t655)))) % 1.13/1.32 (assume @p781 (forall (@list @t17 @t113 @t18) (=> @t226 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232 @t19) (= @t231 @t19))))) % 1.13/1.32 (assume @p782 (forall @t367 (=> @t226 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t232) (= @t231 @t232))))) % 1.13/1.32 (assume @p783 (forall @t235 (=> @t226 (=> @t651 (=> @t770 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t231 @t39)))))) % 1.13/1.32 (assume @p784 (forall @t681 (=> @t680 (= @t870 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t676 @t320))))) % 1.13/1.32 (assume @p785 (forall @t681 (=> @t680 (= @t870 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t95 @t682))))) % 1.13/1.32 (assume @p786 (forall @t79 (=> @t555 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t340 @t462) (tptp.hAPP (tptp.hAPP @t283 (tptp.c_Groups_Oplus__class_Oplus @t18 @t37 @t462)) (tptp.c_Groups_Ominus__class_Ominus @t18 @t37 @t462)))))) % 1.13/1.32 (assume @p787 (forall @t172 (=> @t828 (=> @t383 @t871)))) % 1.13/1.32 (assume @p788 (forall @t176 (=> @t828 (=> @t385 @t871)))) % 1.13/1.32 (assume @p789 (forall @t172 (=> @t828 @t873))) % 1.13/1.32 (assume @p790 (forall @t172 (=> @t874 @t873))) % 1.13/1.32 (assume @p791 (forall @t176 (=> @t828 @t875))) % 1.13/1.32 (assume @p792 (forall @t176 (=> @t874 @t875))) % 1.13/1.32 (assume @p793 (forall @t187 (=> @t828 (=> @t167 (=> @t705 (=> @t792 @t877)))))) % 1.13/1.32 (assume @p794 (forall @t187 (=> @t828 (=> @t701 (=> @t185 (=> @t209 (=> @t826 @t876))))))) % 1.13/1.32 (assume @p795 (forall @t187 (=> @t828 (=> @t701 (=> @t705 (=> @t209 @t877)))))) % 1.13/1.32 (assume @p796 (forall @t187 (=> @t828 (=> @t701 (=> @t705 (=> @t833 @t877)))))) % 1.13/1.32 (assume @p797 (forall @t192 (=> @t336 (=> @t836 (= @t878 (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t64 @t65)))))) % 1.13/1.32 (assume @p798 (forall @t192 (=> @t336 (=> @t838 (= @t878 @t188))))) % 1.13/1.32 (assume @p799 (forall @t211 (=> @t210 (=> @t223 @t844)))) % 1.13/1.32 (assume @p800 (forall @t211 (=> @t210 (=> @t831 (=> @t222 @t843))))) % 1.13/1.32 (assume @p801 (forall @t182 (=> @t210 (=> @t209 @t849)))) % 1.13/1.32 (assume @p802 (forall @t182 (=> @t210 (=> @t792 (=> @t218 @t848))))) % 1.13/1.32 (assume @p803 (forall @t211 (=> @t210 (=> @t209 @t846)))) % 1.13/1.32 (assume @p804 (forall @t211 (=> @t210 (=> @t792 (=> @t208 @t845))))) % 1.13/1.32 (assume @p805 (forall @t216 (=> @t336 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t335) (or (not @t14) @t879))))) % 1.13/1.32 (assume @p806 (forall @t343 (=> @t342 (not (tptp.c_Orderings_Oord__class_Oless @t18 @t341 @t26))))) % 1.13/1.32 (assume @p807 (forall @t247 (=> @t528 (=> @t811 (=> @t208 @t701))))) % 1.13/1.32 (assume @p808 (forall @t76 (=> @t528 (tptp.c_Orderings_Oord__class_Oless @t18 @t26 @t531)))) % 1.13/1.32 (assume @p809 (forall @t43 (=> @t528 (=> @t662 (tptp.c_Orderings_Oord__class_Oless @t18 @t462 @t581))))) % 1.13/1.32 (assume @p810 (forall @t43 (=> @t528 (=> @t662 (tptp.c_Orderings_Oord__class_Oless @t18 @t546 @t581))))) % 1.13/1.32 (assume @p811 (forall @t43 (=> @t528 (=> @t662 (tptp.c_Orderings_Oord__class_Oless @t18 @t462 @t595))))) % 1.13/1.32 (assume @p812 (forall @t882 (=> @t854 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 @t881) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t163 @t880))))) % 1.13/1.32 (assume @p813 (forall @t882 (=> @t854 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t881 @t108) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t880 @t709))))) % 1.13/1.32 (assume @p814 (forall @t808 (=> @t807 (= @t883 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t806 @t67))))) % 1.13/1.32 (assume @p815 (forall (@list @t39 @t108 @t452 @t151 @t149) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t149 @t151) (= @t884 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t389 @t710) @t452) @t108) @t39))))) % 1.13/1.32 (assume @p816 (forall @t808 (=> @t807 (= @t885 (= @t806 @t67))))) % 1.13/1.32 (assume @p817 (forall @t805 (=> @t804 (= @t883 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t126 @t800))))) % 1.13/1.32 (assume @p818 (forall (@list @t39 @t108 @t452 @t149 @t151) (=> @t152 (= @t884 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t108 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t389 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t149 @t151)) @t452) @t39)))))) % 1.13/1.32 (assume @p819 (forall @t805 (=> @t804 (= @t885 (= @t126 @t800))))) % 1.13/1.32 (assume @p820 (forall @t123 (=> @t887 (=> @t886 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t418))))) % 1.13/1.32 (assume @p821 (forall @t123 (=> @t887 (=> @t886 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t39 @t451))))) % 1.13/1.32 (assume @p822 (forall @t123 (=> @t887 (=> @t886 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t116 @t418))))) % 1.13/1.32 (assume @p823 (forall @t147 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t393 @t391) @t888))) % 1.13/1.32 (assume @p824 (forall @t145 (= @t889 @t888))) % 1.13/1.32 (assume @p825 (forall @t145 (=> @t697 (= @t889 @t129)))) % 1.13/1.32 (assume @p826 (forall @t494 (=> @t42 (=> @t651 @t544)))) % 1.13/1.32 (assume @p827 (forall @t115 (=> @t22 (= (tptp.c_Polynomial_Odegree @t18 @t102) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t19 @t477))))) % 1.13/1.32 (assume @p828 (forall @t43 (=> @t528 (=> @t792 (=> @t791 (tptp.c_Orderings_Oord__class_Oless @t18 @t581 @t546)))))) % 1.13/1.32 (assume @p829 (forall @t43 (=> @t528 (=> @t792 (=> @t791 (tptp.c_Orderings_Oord__class_Oless @t18 @t595 @t462)))))) % 1.13/1.32 (assume @p830 (forall @t661 (=> @t660 (=> @t659 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t658 @t657) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t13 @t212)))))) % 1.13/1.32 (assume @p831 (forall @t589 (=> @t528 (=> @t662 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t588 @t546) @t133))))) % 1.13/1.32 (assume @p832 (forall @t247 (=> @t528 (=> (= @t546 @t585) (=> @t209 (=> @t208 (=> @t691 @t331))))))) % 1.13/1.32 (assume @p833 (forall @t131 (and (=> @t534 (= @t122 @t39)) (=> @t890 (= @t122 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t858 @t39))))))) % 1.13/1.32 (assume @p834 (forall @t131 (and (=> @t534 (= @t418 @t29)) (=> @t890 (= @t418 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t39 (tptp.hAPP (tptp.hAPP @t389 @t858) @t39))))))) % 1.13/1.32 (assume @p835 (forall @t812 (=> @t277 (=> (or @t691 (= @t37 @t462)) (tptp.c_Rings_Odvd__class_Odvd @t18 @t37 @t472))))) % 1.13/1.32 (assume @p836 (forall (@list @t17 @t108) (and (=> @t534 (= @t892 @t477)) (=> @t890 (= @t892 (tptp.hAPP @t518 (tptp.hAPP @t891 @t858))))))) % 1.13/1.32 (assume @p837 (forall @t895 (=> @t894 (=> @t893 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t114 @t23) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t565 @t113)))))) % 1.13/1.32 (assume @p838 (forall @t895 (=> @t894 (=> @t893 (=> @t896 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t113 @t565)))))) % 1.13/1.32 (assume @p839 (forall (@list @t108 @t39 @t18) (=> @t558 (and (=> @t238 (= @t898 @t462)) (=> @t488 (= @t898 (tptp.hAPP @t850 (tptp.hAPP @t897 @t793)))))))) % 1.13/1.32 (assume @p840 (forall @t905 (=> @t904 (=> @t902 (=> @t900 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 @t899)))))) % 1.13/1.32 (assume @p841 (forall @t38 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t37 @t37))) % 1.13/1.32 (assume @p842 (forall @t406 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t138 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t108 @t39)) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t138 @t39) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t138 @t108))))) % 1.13/1.32 (assume @p843 (forall @t266 (=> @t908 (not (and @t907 (not @t906)))))) % 1.13/1.32 (assume @p844 (forall @t137 (=> @t908 @t912))) % 1.13/1.32 (assume @p845 (forall @t916 (=> @t915 (not (and @t914 (not @t913)))))) % 1.13/1.32 (assume @p846 (forall @t137 (=> @t908 (=> @t911 @t910)))) % 1.13/1.32 (assume @p847 (forall @t758 (=> @t915 (=> @t177 @t918)))) % 1.13/1.32 (assume @p848 (forall @t266 (=> @t908 @t777))) % 1.13/1.32 (assume @p849 (forall @t266 (=> @t908 @t762))) % 1.13/1.32 (assume @p850 (forall @t266 (=> @t908 @t906))) % 1.13/1.32 (assume @p851 (forall @t137 (=> @t906 @t912))) % 1.13/1.32 (assume @p852 (forall @t758 (=> @t331 (=> (and @t919 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t45 @t166))) @t918)))) % 1.13/1.32 (assume @p853 (forall @t406 (=> @t724 (=> @t692 @t725)))) % 1.13/1.32 (assume @p854 (forall @t137 (=> @t906 (=> @t911 @t909)))) % 1.13/1.32 (assume @p855 (forall @t266 (=> @t906 (=> @t907 @t265)))) % 1.13/1.32 (assume @p856 (forall @t131 (=> @t693 (=> @t714 @t148)))) % 1.13/1.32 (assume @p857 (forall @t758 (=> @t913 (=> @t177 @t917)))) % 1.13/1.32 (assume @p858 (forall @t758 (=> @t331 (=> @t919 @t917)))) % 1.13/1.32 (assume @p859 (forall @t916 (=> @t913 (=> @t789 @t915)))) % 1.13/1.32 (assume @p860 (forall @t266 (=> @t906 (or @t908 @t265)))) % 1.13/1.32 (assume @p861 (forall (@list @t13 @t212) (=> @t921 (= @t920 @t358)))) % 1.13/1.32 (assume @p862 (forall @t266 (=> @t265 @t906))) % 1.13/1.32 (assume @p863 (forall @t916 (=> @t789 (=> @t913 @t915)))) % 1.13/1.32 (assume @p864 (forall @t923 (= @t922 (and @t920 @t773)))) % 1.13/1.32 (assume @p865 (forall @t923 (= @t920 (or @t922 @t358)))) % 1.13/1.32 (assume @p866 (forall @t923 (= @t358 (and @t920 @t921)))) % 1.13/1.32 (assume @p867 (forall @t157 (= @t711 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t151 @t138) @t149)))) % 1.13/1.32 (assume @p868 (forall @t266 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t37 @t135) @t265 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t135 @t37)))) % 1.13/1.32 (assume @p869 (forall (@list @t135 @t39 @t17 @t18) (=> @t517 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t17 @t39) (= (tptp.hAPP @t505 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t107 @t17)) (tptp.hAPP (tptp.hAPP @t283 (tptp.hAPP @t505 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t39 @t17))) @t135)))))) % 1.13/1.32 (assume @p870 (forall @t932 (=> @t931 (=> @t928 (=> @t927 (=> @t926 (=> @t900 (=> @t925 @t924)))))))) % 1.13/1.32 (assume @p871 (forall @t935 (=> @t934 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t114 @t606) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t166 @t114) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t166 @t901) @t933)))))) % 1.13/1.32 (assume @p872 (forall @t932 (=> @t931 (=> @t904 (=> @t902 (=> @t896 (=> @t900 (=> @t925 @t933)))))))) % 1.13/1.32 (assume @p873 (forall @t935 (=> @t934 (=> @t926 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t901 @t166) (=> @t927 @t924)))))) % 1.13/1.32 (assume @p874 (forall @t905 (=> @t928 (=> @t926 (=> @t900 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t899 @t606)))))) % 1.13/1.32 (assume @p875 (forall @t936 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t510 @t23) @t39) (tptp.hAPP (tptp.hAPP @t510 @t166) @t39)) (=> @t488 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t23 @t166))))) % 1.13/1.32 (assume @p876 (forall @t937 (=> @t591 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t510 @t65) @t67) (tptp.hAPP (tptp.hAPP @t510 @t64) @t67)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t65 @t64))))) % 1.13/1.32 (assume @p877 (forall @t38 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t37 @t29))) % 1.13/1.32 (assume @p878 (forall @t38 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t477 @t37))) % 1.13/1.32 (assume @p879 (forall @t123 (=> @t691 (=> @t693 @t715)))) % 1.13/1.32 (assume @p880 (forall @t936 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t586 @t23) @t39) (tptp.hAPP (tptp.hAPP @t586 @t166) @t39)) (=> @t488 @t913)))) % 1.13/1.32 (assume @p881 (forall @t937 (=> @t591 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t586 @t65) @t67) (tptp.hAPP (tptp.hAPP @t586 @t64) @t67)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t65 @t64))))) % 1.13/1.32 (assume @p882 (forall (@list @t39 @t37) (=> @t938 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 (tptp.hAPP @t511 @t39))))) % 1.13/1.32 (assume @p883 (forall @t869 (= @t868 (or @t239 @t867)))) % 1.13/1.32 (assume @p884 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 @t606)) % 1.13/1.32 (assume @p885 (forall @t38 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t552) (or (= @t37 @t29) (= @t37 @t116))))) % 1.13/1.32 (assume @p886 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 @t565)) % 1.13/1.32 (assume @p887 (forall @t266 (=> @t938 (=> @t939 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t37 @t135)))))) % 1.13/1.32 (assume @p888 (forall @t266 (=> @t938 (=> @t939 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 (tptp.hAPP (tptp.hAPP @t513 @t37) @t135)))))) % 1.13/1.32 (assume @p889 (forall (@list @t135 @t37 @t183 @t18) (=> @t633 (=> (tptp.c_Rings_Odvd__class_Odvd @t47 @t183 @t37) (=> (tptp.c_Rings_Odvd__class_Odvd @t47 @t183 @t135) (=> (forall @t128 (=> (tptp.c_Rings_Odvd__class_Odvd @t47 @t125 @t37) (=> (tptp.c_Rings_Odvd__class_Odvd @t47 @t125 @t135) (tptp.c_Rings_Odvd__class_Odvd @t47 @t125 @t183)))) (=> (and (=> @t649 (= @t940 @t26)) (=> @t650 (= @t940 @t462))) (= @t646 @t183)))))))) % 1.13/1.32 (assume @p890 (forall (@list @t941 @t59 @t212 @t13 @t11) (=> @t631 (= (tptp.c_Polynomial_Opdivmod__rel @t11 @t13 @t212 @t59 @t941) (and (= @t13 (tptp.c_Groups_Oplus__class_Oplus @t51 (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes @t51) @t59) @t212) @t941)) (=> @t795 @t634) (=> (not @t795) (or @t942 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t11 @t941) (tptp.c_Polynomial_Odegree @t11 @t212))))))))) % 1.13/1.32 (assume @p891 (forall (@list @t941 @t59 @t212 @t11) (=> @t631 (= (tptp.c_Polynomial_Opdivmod__rel @t11 @t52 @t212 @t59 @t941) (and @t634 @t942))))) % 1.13/1.32 (assume @p892 (forall (@list @t941 @t59 @t13 @t11) (=> @t631 (= (tptp.c_Polynomial_Opdivmod__rel @t11 @t13 @t52 @t59 @t941) (and @t634 (= @t941 @t13)))))) % 1.13/1.32 (assume @p893 (forall @t450 (=> @t633 (tptp.c_Polynomial_Opdivmod__rel @t18 @t48 @t135 @t48 @t48)))) % 1.13/1.32 (assume @p894 (forall @t79 (=> @t633 (tptp.c_Polynomial_Opdivmod__rel @t18 @t37 @t48 @t48 @t37)))) % 1.13/1.32 (assume @p895 (forall (@list @t23 @t114 @t113 @t135 @t37 @t18) (=> @t633 (=> @t943 (tptp.c_Polynomial_Opdivmod__rel @t18 (tptp.c_Polynomial_Osmult @t18 @t23 @t37) @t135 @t258 (tptp.c_Polynomial_Osmult @t18 @t23 @t114)))))) % 1.13/1.32 (assume @p896 (forall @t951 (=> @t633 (=> @t950 (=> @t948 @t946))))) % 1.13/1.32 (assume @p897 (forall @t951 (=> @t633 (=> @t950 (=> @t948 @t952))))) % 1.13/1.32 (assume @p898 (forall @t951 (=> @t633 (=> @t950 (=> @t948 (and @t946 @t952)))))) % 1.13/1.32 (assume @p899 (forall (@list @t901 @t899 @t134 @t114 @t113 @t135 @t37 @t18) (=> @t633 (=> @t943 (=> (tptp.c_Polynomial_Opdivmod__rel @t18 @t113 @t134 @t899 @t901) (tptp.c_Polynomial_Opdivmod__rel @t18 @t37 (tptp.hAPP @t953 @t134) @t899 (tptp.c_Groups_Oplus__class_Oplus @t47 (tptp.hAPP @t953 @t901) @t114))))))) % 1.13/1.32 (assume @p900 (forall (@list @t23 @t166 @t114 @t113 @t135 @t37 @t18) (=> @t633 (=> @t943 (=> (not @t648) (=> (= @t166 (tptp.c_Rings_Oinverse__class_Odivide @t18 (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t954) @t955) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t18 @t135) @t955))) (tptp.c_Polynomial_Opdivmod__rel @t18 (tptp.c_Polynomial_OpCons @t18 @t23 @t37) @t135 @t225 (tptp.c_Groups_Ominus__class_Ominus @t47 @t954 (tptp.c_Polynomial_Osmult @t18 @t166 @t135))))))))) % 1.13/1.32 (assume @p901 (forall @t959 (and @t958 (=> (not @t957) (= @t956 @t606))))) % 1.13/1.32 (assume @p902 (forall @t211 (=> @t962 (= @t961 (tptp.c_Rings_Oinverse__class_Odivide @t18 @t480 @t166))))) % 1.13/1.32 (assume @p903 (forall @t343 (=> @t964 (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t476 @t135) (tptp.c_Groups_Ouminus__class_Ouminus @t18 @t963))))) % 1.13/1.32 (assume @p904 (forall @t49 (=> @t962 (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t26 @t23) @t26)))) % 1.13/1.32 (assume @p905 (forall @t49 (=> @t965 (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t23 @t26) @t26)))) % 1.13/1.32 (assume @p906 (forall @t450 (=> @t964 (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t26 @t135) @t26)))) % 1.13/1.32 (assume @p907 (forall @t182 (=> @t962 (= (tptp.hAPP @t286 @t966) (tptp.c_Rings_Oinverse__class_Odivide @t18 @t287 @t45))))) % 1.13/1.32 (assume @p908 (forall @t49 (=> @t962 (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t23 @t462) @t23)))) % 1.13/1.32 (assume @p909 (forall @t182 (=> @t962 (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t180 @t45) (tptp.c_Groups_Oplus__class_Oplus @t18 @t967 @t966))))) % 1.13/1.32 (assume @p910 (forall @t449 (=> @t964 (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t441 @t446) (tptp.c_Groups_Oplus__class_Oplus @t18 @t969 @t968))))) % 1.13/1.32 (assume @p911 (forall @t338 (=> @t971 @t970))) % 1.13/1.32 (assume @p912 (forall @t43 (=> @t971 (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t462 @t546) (tptp.hAPP (tptp.hAPP @t470 (tptp.c_Rings_Oinverse__class_Odivide @t18 @t462 @t23)) @t39))))) % 1.13/1.32 (assume @p913 (forall (@list @t39 @t23 @t166 @t18) (=> @t633 (=> @t422 @t970)))) % 1.13/1.32 (assume @p914 (forall @t779 (=> @t962 (=> @t422 @t972)))) % 1.13/1.32 (assume @p915 (forall @t779 (=> @t962 (=> @t422 @t973)))) % 1.13/1.32 (assume @p916 (forall @t49 (=> @t965 (and (=> @t27 (= @t974 @t26)) @t975)))) % 1.13/1.32 (assume @p917 (forall @t49 (=> @t962 @t975))) % 1.13/1.32 (assume @p918 (forall @t276 (=> @t977 (=> (not @t423) (= (= @t976 @t473) @t66))))) % 1.13/1.32 (assume @p919 (forall @t172 (=> @t962 (=> @t978 (=> (= @t316 @t166) (= @t23 @t966)))))) % 1.13/1.32 (assume @p920 (forall @t221 (=> @t962 (=> @t978 (=> (= @t166 @t316) (= @t966 @t23)))))) % 1.13/1.32 (assume @p921 (forall @t983 (=> @t977 (=> @t982 (= @t981 @t979))))) % 1.13/1.32 (assume @p922 (forall @t192 (=> @t977 (=> @t982 (= @t985 @t984))))) % 1.13/1.32 (assume @p923 (forall @t449 (=> @t964 (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t652 @t446) (tptp.c_Groups_Ominus__class_Ominus @t18 @t969 @t968))))) % 1.13/1.32 (assume @p924 (forall @t182 (=> @t962 (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t698 @t45) (tptp.c_Groups_Ominus__class_Ominus @t18 @t967 @t966))))) % 1.13/1.32 (assume @p925 (forall (@list @t108 @t39 @t23 @t18) (=> @t633 (=> @t28 (=> @t132 (= (tptp.hAPP @t545 @t707) (tptp.c_Rings_Oinverse__class_Odivide @t18 @t588 @t546))))))) % 1.13/1.32 (assume @p926 (forall @t266 (=> @t938 (=> @t939 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t606 @t956))))) % 1.13/1.32 (assume @p927 (forall @t959 @t958)) % 1.13/1.32 (assume @p928 (forall @t182 (=> @t989 (=> @t167 (=> @t384 @t988))))) % 1.13/1.32 (assume @p929 (forall @t179 (=> @t990 (=> @t219 (=> @t220 @t988))))) % 1.13/1.32 (assume @p930 (forall (@list @t560 @t134 @t135 @t37 @t18) (=> @t971 (= (tptp.hAPP (tptp.hAPP @t283 @t963) (tptp.c_Rings_Oinverse__class_Odivide @t18 @t134 @t560)) (tptp.c_Rings_Oinverse__class_Odivide @t18 @t326 (tptp.hAPP @t339 @t560)))))) % 1.13/1.32 (assume @p931 (forall @t211 (=> @t971 @t973))) % 1.13/1.32 (assume @p932 (forall @t211 (=> @t971 @t972))) % 1.13/1.32 (assume @p933 (forall @t182 (=> @t989 (=> @t167 (=> @t384 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t966 @t967)))))) % 1.13/1.32 (assume @p934 (forall @t182 (=> @t989 (=> @t167 (=> @t220 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t967 @t966)))))) % 1.13/1.32 (assume @p935 (forall @t425 (=> @t991 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t976 @t12) @t432)))) % 1.13/1.32 (assume @p936 (forall @t425 (=> @t991 (= (tptp.c_Orderings_Oord__class_Oless__eq @t11 @t12 @t976) @t431)))) % 1.13/1.32 (assume @p937 (forall @t179 (=> @t990 (=> @t778 (=> @t823 @t992))))) % 1.13/1.32 (assume @p938 (forall @t182 (=> @t990 (=> @t701 (=> @t826 @t992))))) % 1.13/1.32 (assume @p939 (forall @t343 (=> @t990 (=> @t995 (=> @t994 @t993))))) % 1.13/1.32 (assume @p940 (forall @t343 (=> @t990 (=> @t995 (=> @t997 @t996))))) % 1.13/1.32 (assume @p941 (forall @t343 (=> @t990 (=> @t998 (=> @t994 @t996))))) % 1.13/1.32 (assume @p942 (forall @t343 (=> @t990 (=> @t998 (=> @t997 @t993))))) % 1.13/1.32 (assume @p943 (forall @t425 (=> @t991 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t976 @t12) (or (and @t847 @t1000) (and @t840 @t999)))))) % 1.13/1.32 (assume @p944 (forall @t425 (=> @t991 (= (tptp.c_Orderings_Oord__class_Oless @t11 @t12 @t976) (or (and @t847 @t999) (and @t840 @t1000)))))) % 1.13/1.32 (assume @p945 (forall (@list @t308 @t13 @t87 @t212 @t11) (=> @t631 (=> @t879 (=> (not (= @t87 @t12)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t11 @t13 @t212) (tptp.c_Rings_Oinverse__class_Odivide @t11 @t308 @t87)) (= @t312 @t313))))))) % 1.13/1.32 (assume @p946 (forall @t172 (=> @t971 (=> @t978 (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t382 @t381) @t960))))) % 1.13/1.32 (assume @p947 (forall @t172 (=> @t971 (=> @t978 (= (tptp.c_Rings_Oinverse__class_Odivide @t18 @t316 @t285) @t960))))) % 1.13/1.32 (assume @p948 (forall @t1003 (=> @t1002 (= @t981 (and (=> @t982 @t979) @t1001))))) % 1.13/1.32 (assume @p949 (forall @t200 (=> @t1002 (= @t985 (and (=> @t982 @t984) @t1001))))) % 1.13/1.32 (assume @p950 (forall @t343 (=> @t990 (=> @t542 (=> @t997 @t1004))))) % 1.13/1.32 (assume @p951 (forall @t343 (=> @t990 (=> @t542 (=> @t994 @t1005))))) % 1.13/1.32 (assume @p952 (forall @t1010 (=> @t990 (=> @t998 (=> @t345 (=> @t1009 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t560 @t134) @t1008))))))) % 1.13/1.32 (assume @p953 (forall @t1010 (=> @t990 (=> @t542 (=> @t760 (=> @t1009 (=> @t1011 @t1008))))))) % 1.13/1.32 (assume @p954 (forall @t1010 (=> @t990 (=> @t542 (=> @t345 (=> @t1009 (=> @t1011 (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t1007 @t1006)))))))) % 1.13/1.32 (assume @p955 (forall @t343 (=> @t990 (=> @t1012 (=> @t997 @t1005))))) % 1.13/1.32 (assume @p956 (forall @t343 (=> @t990 (=> @t1012 (=> @t994 @t1004))))) % 1.13/1.32 (assume @p957 (forall @t200 (=> @t991 (= @t1017 (and (=> @t838 @t1016) (=> @t1015 (and (=> @t836 @t1014) (=> @t1013 @t840)))))))) % 1.13/1.32 (assume @p958 (forall @t1003 (=> @t991 (= @t1018 (and (=> @t838 @t1014) (=> @t1015 (and (=> @t836 @t1016) (=> @t1013 @t847)))))))) % 1.13/1.32 (assume @p959 (forall @t192 (=> @t1019 (=> @t838 (= @t1017 @t1016))))) % 1.13/1.32 (assume @p960 (forall @t983 (=> @t1019 (=> @t838 (= @t1018 @t1014))))) % 1.13/1.32 (assume @p961 (forall @t352 (=> @t990 (=> @t997 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t37 @t1021) (tptp.c_Orderings_Oord__class_Oless @t18 @t963 @t134)))))) % 1.13/1.32 (assume @p962 (forall @t1022 (=> @t990 (=> @t997 (=> (tptp.c_Orderings_Oord__class_Oless @t18 @t1021 @t37) (tptp.c_Orderings_Oord__class_Oless @t18 @t134 @t963)))))) % 1.13/1.32 (assume @p963 (forall @t192 (=> @t1019 (=> @t836 (= @t1017 @t1014))))) % 1.13/1.32 (assume @p964 (forall @t983 (=> @t1019 (=> @t836 (= @t1018 @t1016))))) % 1.13/1.32 (assume @p965 (forall @t179 (=> @t990 (=> @t778 (=> @t826 @t1023))))) % 1.13/1.32 (assume @p966 (forall @t182 (=> @t990 (=> @t701 (=> @t823 @t1023))))) % 1.13/1.32 (assume @p967 (forall @t1022 (=> @t971 (=> @t1026 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t134 @t963) @t1025))))) % 1.13/1.32 (assume @p968 (forall @t1030 (=> @t633 (=> @t1029 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t37 @t1028) (tptp.c_Rings_Oinverse__class_Odivide @t18 (tptp.c_Groups_Oplus__class_Oplus @t18 @t1027 @t135) @t134)))))) % 1.13/1.32 (assume @p969 (forall @t352 (=> @t971 (=> @t1026 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t963 @t134) @t1025))))) % 1.13/1.32 (assume @p970 (forall @t1030 (=> @t633 (=> @t1029 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t1007 @t135) (tptp.c_Rings_Oinverse__class_Odivide @t18 @t1024 @t134)))))) % 1.13/1.32 (assume @p971 (forall @t1034 (=> @t633 (=> @t1026 (=> @t1029 (= (tptp.c_Groups_Oplus__class_Oplus @t18 @t963 @t1033) (tptp.c_Rings_Oinverse__class_Odivide @t18 (tptp.c_Groups_Oplus__class_Oplus @t18 @t326 @t1032) @t1031))))))) % 1.13/1.32 (assume @p972 (forall @t1030 (=> @t633 (=> @t1029 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t37 @t1028) (tptp.c_Rings_Oinverse__class_Odivide @t18 (tptp.c_Groups_Ominus__class_Ominus @t18 @t1027 @t135) @t134)))))) % 1.13/1.32 (assume @p973 (forall @t1030 (=> @t633 (=> @t1029 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t1007 @t135) (tptp.c_Rings_Oinverse__class_Odivide @t18 (tptp.c_Groups_Ominus__class_Ominus @t18 @t37 @t1021) @t134)))))) % 1.13/1.32 (assume @p974 (forall @t1034 (=> @t633 (=> @t1026 (=> @t1029 (= (tptp.c_Groups_Ominus__class_Ominus @t18 @t963 @t1033) (tptp.c_Rings_Oinverse__class_Odivide @t18 (tptp.c_Groups_Ominus__class_Ominus @t18 @t326 @t1032) @t1031))))))) % 1.13/1.32 (assume @p975 (forall @t211 (=> @t990 (=> @t701 (tptp.c_Orderings_Oord__class_Oless @t18 @t1035 @t166))))) % 1.13/1.32 (assume @p976 (forall @t211 (=> @t990 (=> @t701 (tptp.c_Orderings_Oord__class_Oless @t18 @t23 @t1035))))) % 1.13/1.32 (assume @p977 (forall @t200 (=> @t991 (= @t1038 (and (=> @t838 @t1037) (=> @t1015 (and (=> @t836 @t1036) (=> @t1013 @t207)))))))) % 1.13/1.32 (assume @p978 (forall @t1003 (=> @t991 (= @t1039 (and (=> @t838 @t1036) (=> @t1015 (and (=> @t836 @t1037) (=> @t1013 @t203)))))))) % 1.13/1.32 (assume @p979 (forall @t192 (=> @t1019 (=> @t838 (= @t1038 @t1037))))) % 1.13/1.32 (assume @p980 (forall @t983 (=> @t1019 (=> @t838 (= @t1039 @t1036))))) % 1.13/1.32 (assume @p981 (forall @t352 (=> @t990 (=> @t997 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t37 @t1021) (tptp.c_Orderings_Oord__class_Oless__eq @t18 @t963 @t134)))))) % 1.13/1.32 (assume @p982 (forall @t1043 (=> @t1042 @t1041))) % 1.13/1.32 (assume @p983 (forall @t1043 (=> @t1042 @t1044))) % 1.13/1.32 (assume @p984 (forall @t1043 (=> @t1042 @t1045))) % 1.13/1.32 (assume @p985 (forall @t1043 (=> @t1042 @t1046))) % 1.13/1.32 (assume @p986 (forall @t1043 (=> @t1042 @t1047))) % 1.13/1.32 (assume @p987 (forall @t1043 (=> @t1042 @t1048))) % 1.13/1.32 (assume @p988 (forall @t1043 (=> @t1042 @t1049))) % 1.13/1.32 (assume @p989 (forall @t1043 (=> @t1042 @t1050))) % 1.13/1.32 (assume @p990 (forall @t1043 (=> @t1042 @t1051))) % 1.13/1.32 (assume @p991 (forall @t1043 (=> @t1042 @t1052))) % 1.13/1.32 (assume @p992 (forall @t1043 (=> @t1042 @t1053))) % 1.13/1.32 (assume @p993 (forall @t1043 (=> @t1042 @t1054))) % 1.13/1.32 (assume @p994 (forall @t1043 (=> @t1042 @t1055))) % 1.13/1.32 (assume @p995 (forall @t1043 (=> @t1042 @t1056))) % 1.13/1.32 (assume @p996 (forall @t1043 (=> @t1042 @t1057))) % 1.13/1.32 (assume @p997 (forall @t1043 (=> @t1042 @t1058))) % 1.13/1.32 (assume @p998 @t1060) % 1.13/1.32 (assume @p999 (forall @t1043 (=> @t1042 @t1061))) % 1.13/1.32 (assume @p1000 (forall @t1043 (=> @t1042 @t1062))) % 1.13/1.32 (assume @p1001 (forall @t1043 (=> @t1042 @t1063))) % 1.13/1.32 (assume @p1002 (forall @t1043 (=> @t1064 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1040)))) % 1.13/1.32 (assume @p1003 (forall @t1043 (=> @t1064 @t1041))) % 1.13/1.32 (assume @p1004 (forall @t1043 (=> @t1064 (tptp.class_Rings_Oring__1__no__zero__divisors @t1040)))) % 1.13/1.32 (assume @p1005 (forall @t1043 (=> @t1064 (tptp.class_Rings_Oring__no__zero__divisors @t1040)))) % 1.13/1.32 (assume @p1006 (forall @t1043 (=> @t1064 @t1044))) % 1.13/1.32 (assume @p1007 (forall @t1043 (=> @t1064 (tptp.class_Groups_Oab__semigroup__mult @t1040)))) % 1.13/1.32 (assume @p1008 (forall @t1043 (=> @t1064 (tptp.class_Groups_Ocomm__monoid__mult @t1040)))) % 1.13/1.32 (assume @p1009 (forall @t1043 (=> @t1064 @t1045))) % 1.13/1.32 (assume @p1010 (forall @t1043 (=> @t1064 (tptp.class_Rings_Ono__zero__divisors @t1040)))) % 1.13/1.32 (assume @p1011 (forall @t1043 (=> @t1064 @t1046))) % 1.13/1.32 (assume @p1012 (forall @t1043 (=> @t1064 (tptp.class_Rings_Ocomm__semiring__1 @t1040)))) % 1.13/1.32 (assume @p1013 (forall @t1043 (=> @t1064 (tptp.class_Rings_Ocomm__semiring__0 @t1040)))) % 1.13/1.32 (assume @p1014 (forall @t1043 (=> @t1064 (tptp.class_Rings_Ocomm__semiring @t1040)))) % 1.13/1.32 (assume @p1015 (forall @t1043 (=> @t1064 @t1047))) % 1.13/1.32 (assume @p1016 (forall @t1043 (=> @t1064 @t1048))) % 1.13/1.32 (assume @p1017 (forall @t1043 (=> @t1064 @t1049))) % 1.13/1.32 (assume @p1018 (forall @t1043 (=> @t1064 (tptp.class_Rings_Ocomm__ring__1 @t1040)))) % 1.13/1.32 (assume @p1019 (forall @t1043 (=> @t1064 @t1050))) % 1.13/1.32 (assume @p1020 (forall @t1043 (=> @t1064 @t1051))) % 1.13/1.32 (assume @p1021 (forall @t1043 (=> @t1064 @t1052))) % 1.13/1.32 (assume @p1022 (forall @t1043 (=> @t1064 @t1053))) % 1.13/1.32 (assume @p1023 (forall @t1043 (=> @t1064 (tptp.class_Rings_Ocomm__ring @t1040)))) % 1.13/1.32 (assume @p1024 (forall @t1043 (=> @t1064 @t1054))) % 1.13/1.32 (assume @p1025 (forall @t1043 (=> @t1064 @t1055))) % 1.13/1.32 (assume @p1026 (forall @t1043 (=> @t1064 @t1056))) % 1.13/1.32 (assume @p1027 (forall @t1043 (=> @t1064 @t1057))) % 1.13/1.32 (assume @p1028 (forall @t1043 (=> @t1064 @t1058))) % 1.13/1.32 (assume @p1029 (forall @t1043 (=> @t1064 @t1059))) % 1.13/1.32 (assume @p1030 (forall @t1043 (=> @t1064 @t1061))) % 1.13/1.32 (assume @p1031 (forall @t1043 (=> @t1064 @t1062))) % 1.13/1.32 (assume @p1032 (forall @t1043 (=> @t1064 (tptp.class_Rings_Odvd @t1040)))) % 1.13/1.32 (assume @p1033 (forall @t1043 (=> @t1064 @t1063))) % 1.13/1.32 (assume @p1034 (forall @t1068 (=> @t1067 (tptp.class_Groups_Ocancel__comm__monoid__add @t1066)))) % 1.13/1.32 (assume @p1035 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1036 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1037 (forall @t1071 (=> (tptp.class_Lattices_Oboolean__algebra @t1065) (tptp.class_Lattices_Oboolean__algebra @t1070)))) % 1.13/1.32 (assume @p1038 (forall @t1071 (=> (tptp.class_Orderings_Opreorder @t1065) (tptp.class_Orderings_Opreorder @t1070)))) % 1.13/1.32 (assume @p1039 (forall @t1071 (=> (tptp.class_Orderings_Oorder @t1065) (tptp.class_Orderings_Oorder @t1070)))) % 1.13/1.32 (assume @p1040 (forall @t1071 (=> (tptp.class_Orderings_Oord @t1065) (tptp.class_Orderings_Oord @t1070)))) % 1.13/1.32 (assume @p1041 (forall @t1071 (=> (tptp.class_Groups_Ouminus @t1065) (tptp.class_Groups_Ouminus @t1070)))) % 1.13/1.32 (assume @p1042 (forall @t1071 (=> (tptp.class_Groups_Ominus @t1065) (tptp.class_Groups_Ominus @t1070)))) % 1.13/1.32 (assume @p1043 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1044 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1045 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1046 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1047 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1048 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1049 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1050 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1051 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1052 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1053 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1054 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1055 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1056 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1057 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1058 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1059 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1060 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1061 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1062 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1063 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1064 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1065 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1066 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1067 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1068 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1069 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1070 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1071 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1072 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1073 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1074 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1075 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1076 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1077 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1078 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1079 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1080 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1081 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1082 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1083 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1084 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1085 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1086 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1087 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1088 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1089 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1090 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1091 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1092 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1093 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1094 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1095 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1096 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1097 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1098 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.13/1.32 (assume @p1099 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1100 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1101 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1102 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1103 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1104 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1105 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1106 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1107 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1108 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1109 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1110 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1111 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1112 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1113 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1114 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1115 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1116 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1117 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1118 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1119 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1120 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1121 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1122 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1123 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1124 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1125 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1126 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1127 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1128 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1129 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1130 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1131 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1132 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1133 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1134 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1135 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.13/1.32 (assume @p1136 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.13/1.32 (assume @p1137 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.13/1.32 (assume @p1138 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.13/1.32 (assume @p1139 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.13/1.32 (assume @p1140 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.13/1.32 (assume @p1141 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.13/1.32 (assume @p1142 (forall @t1068 (=> @t1072 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1066)))) % 1.13/1.32 (assume @p1143 (forall @t1068 (=> @t1073 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1066)))) % 1.13/1.32 (assume @p1144 (forall @t1068 (=> @t1073 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1066)))) % 1.13/1.32 (assume @p1145 (forall @t1068 (=> @t1073 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1066)))) % 1.13/1.32 (assume @p1146 (forall @t1068 (=> @t1073 (tptp.class_Rings_Olinordered__semiring__1__strict @t1066)))) % 1.13/1.32 (assume @p1147 (forall @t1068 (=> @t1073 (tptp.class_Rings_Olinordered__semiring__strict @t1066)))) % 1.13/1.32 (assume @p1148 (forall @t1068 (=> @t1073 (tptp.class_Groups_Oordered__ab__semigroup__add @t1066)))) % 1.13/1.32 (assume @p1149 (forall @t1068 (=> @t1073 (tptp.class_Groups_Oordered__comm__monoid__add @t1066)))) % 1.13/1.32 (assume @p1150 (forall @t1068 (=> @t1073 (tptp.class_Groups_Olinordered__ab__group__add @t1066)))) % 1.13/1.32 (assume @p1151 (forall @t1068 (=> @t1067 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1066)))) % 1.13/1.32 (assume @p1152 (forall @t1068 (=> @t1072 (tptp.class_Rings_Oring__1__no__zero__divisors @t1066)))) % 1.13/1.32 (assume @p1153 (forall @t1068 (=> @t1073 (tptp.class_Rings_Oordered__cancel__semiring @t1066)))) % 1.13/1.32 (assume @p1154 (forall @t1068 (=> @t1073 (tptp.class_Rings_Olinordered__ring__strict @t1066)))) % 1.13/1.32 (assume @p1155 (forall @t1068 (=> @t1072 (tptp.class_Rings_Oring__no__zero__divisors @t1066)))) % 1.13/1.32 (assume @p1156 (forall @t1068 (=> @t1073 (tptp.class_Rings_Oordered__comm__semiring @t1066)))) % 1.13/1.32 (assume @p1157 (forall @t1068 (=> @t1073 (tptp.class_Rings_Olinordered__semiring__1 @t1066)))) % 1.13/1.32 (assume @p1158 (forall @t1068 (=> @t1073 (tptp.class_Groups_Oordered__ab__group__add @t1066)))) % 1.13/1.32 (assume @p1159 (forall @t1068 (=> @t1067 (tptp.class_Groups_Ocancel__semigroup__add @t1066)))) % 1.13/1.32 (assume @p1160 (forall @t1068 (=> @t1073 (tptp.class_Rings_Olinordered__semiring @t1066)))) % 1.13/1.32 (assume @p1161 (forall @t1068 (=> @t1073 (tptp.class_Rings_Olinordered__semidom @t1066)))) % 1.13/1.32 (assume @p1162 (forall @t1068 (=> @t1074 (tptp.class_Groups_Oab__semigroup__mult @t1066)))) % 1.13/1.32 (assume @p1163 (forall @t1068 (=> @t1075 (tptp.class_Groups_Ocomm__monoid__mult @t1066)))) % 1.13/1.32 (assume @p1164 (forall @t1068 (=> @t1076 (tptp.class_Groups_Oab__semigroup__add @t1066)))) % 1.13/1.32 (assume @p1165 (forall @t1068 (=> @t1073 (tptp.class_Rings_Oordered__semiring @t1066)))) % 1.13/1.32 (assume @p1166 (forall @t1068 (=> @t1072 (tptp.class_Rings_Ono__zero__divisors @t1066)))) % 1.13/1.32 (assume @p1167 (forall @t1068 (=> @t1076 (tptp.class_Groups_Ocomm__monoid__add @t1066)))) % 1.13/1.32 (assume @p1168 (forall @t1068 (=> @t1073 (tptp.class_Rings_Olinordered__ring @t1066)))) % 1.13/1.32 (assume @p1169 (forall @t1068 (=> @t1073 (tptp.class_Rings_Olinordered__idom @t1066)))) % 1.13/1.32 (assume @p1170 (forall @t1068 (=> @t1075 (tptp.class_Rings_Ocomm__semiring__1 @t1066)))) % 1.13/1.32 (assume @p1171 (forall @t1068 (=> @t1074 (tptp.class_Rings_Ocomm__semiring__0 @t1066)))) % 1.13/1.32 (assume @p1172 (forall @t1068 (=> @t1074 (tptp.class_Rings_Ocomm__semiring @t1066)))) % 1.13/1.32 (assume @p1173 (forall @t1068 (=> @t1077 (tptp.class_Groups_Oab__group__add @t1066)))) % 1.13/1.32 (assume @p1174 (forall @t1068 (=> @t1075 (tptp.class_Rings_Ozero__neq__one @t1066)))) % 1.13/1.32 (assume @p1175 (forall @t1068 (=> @t1073 (tptp.class_Rings_Oordered__ring @t1066)))) % 1.13/1.32 (assume @p1176 (forall @t1068 (=> @t1073 (tptp.class_Orderings_Opreorder @t1066)))) % 1.13/1.32 (assume @p1177 (forall @t1068 (=> @t1073 (tptp.class_Orderings_Olinorder @t1066)))) % 1.13/1.32 (assume @p1178 (forall @t1068 (=> @t1075 (tptp.class_Groups_Omonoid__mult @t1066)))) % 1.13/1.32 (assume @p1179 (forall @t1068 (=> @t1078 (tptp.class_Rings_Ocomm__ring__1 @t1066)))) % 1.13/1.32 (assume @p1180 (forall @t1068 (=> @t1076 (tptp.class_Groups_Omonoid__add @t1066)))) % 1.13/1.32 (assume @p1181 (forall @t1068 (=> @t1074 (tptp.class_Rings_Osemiring__0 @t1066)))) % 1.13/1.32 (assume @p1182 (forall @t1068 (=> @t1077 (tptp.class_Groups_Ogroup__add @t1066)))) % 1.13/1.32 (assume @p1183 (forall @t1068 (=> @t1074 (tptp.class_Rings_Omult__zero @t1066)))) % 1.13/1.32 (assume @p1184 (forall @t1068 (=> @t1079 (tptp.class_Rings_Ocomm__ring @t1066)))) % 1.13/1.32 (assume @p1185 (forall @t1068 (=> @t1073 (tptp.class_Orderings_Oorder @t1066)))) % 1.13/1.32 (assume @p1186 (forall @t1068 (=> @t1073 (tptp.class_Int_Oring__char__0 @t1066)))) % 1.13/1.32 (assume @p1187 (forall @t1068 (=> @t1074 (tptp.class_Rings_Osemiring @t1066)))) % 1.13/1.32 (assume @p1188 (forall @t1068 (=> @t1073 (tptp.class_Orderings_Oord @t1066)))) % 1.13/1.32 (assume @p1189 (forall @t1068 (=> @t1077 (tptp.class_Groups_Ouminus @t1066)))) % 1.13/1.32 (assume @p1190 (forall @t1068 (=> @t1078 (tptp.class_Rings_Oring__1 @t1066)))) % 1.13/1.32 (assume @p1191 (forall @t1068 (=> @t1077 (tptp.class_Groups_Ominus @t1066)))) % 1.13/1.32 (assume @p1192 (forall @t1068 (=> @t1075 (tptp.class_Power_Opower @t1066)))) % 1.13/1.32 (assume @p1193 (forall @t1068 (=> (tptp.class_Groups_Ozero @t1065) (tptp.class_Groups_Ozero @t1066)))) % 1.13/1.32 (assume @p1194 (forall @t1068 (=> @t1079 (tptp.class_Rings_Oring @t1066)))) % 1.13/1.32 (assume @p1195 (forall @t1068 (=> @t1072 (tptp.class_Rings_Oidom @t1066)))) % 1.13/1.32 (assume @p1196 (forall @t1068 (=> @t1075 (tptp.class_Groups_Oone @t1066)))) % 1.13/1.32 (assume @p1197 (forall @t1068 (=> @t1075 (tptp.class_Rings_Odvd @t1066)))) % 1.13/1.32 (assume @p1198 (forall @t923 (or (not @t1080) @t358))) % 1.13/1.32 (assume @p1199 (forall @t923 (or @t773 @t1080))) % 1.13/1.32 (assume @p1200 (not (tptp.hBOOL tptp.c_fFalse))) % 1.13/1.32 (assume @p1201 (tptp.hBOOL tptp.c_fTrue)) % 1.13/1.32 (assume @p1202 (not (= @t35 @t29))) % 1.13/1.32 (assume @p1203 @t9) % 1.13/1.32 (assume @p1204 @t8) % 1.13/1.32 (assume @p1205 true) % 1.13/1.32 (step @p1206 :rule bool-impl-elim :args (@t1042 @t1059)) % 1.13/1.32 (step @p1207 :rule cong :premises (@p1206) :args (@t1060)) % 1.13/1.32 (step @p1208 :rule eq_resolve :premises (@p998 @p1207)) % 1.13/1.32 (step @p1209 :rule instantiate :premises (@p1208) :args ((@list tptp.t_a))) % 1.13/1.32 (step @p1210 :rule bool-impl-elim :args (@t42 @t1081)) % 1.13/1.32 (step @p1211 :rule cong :premises (@p1210) :args ((forall @t49 (=> @t42 @t1081)))) % 1.13/1.32 (step @p1212 :rule eq-symm :args (@t82 @t29)) % 1.13/1.32 (step @p1213 :rule refl :args (@t42)) % 1.13/1.32 (step @p1214 :rule cong :premises (@p1213 @p1212) :args (@t83)) % 1.13/1.32 (step @p1215 :rule cong :premises (@p1214) :args (@t84)) % 1.13/1.32 (step @p1216 :rule trans :premises (@p1215 @p1211)) % 1.13/1.32 (step @p1217 :rule eq_resolve :premises (@p32 @p1216)) % 1.13/1.32 (step @p1218 :rule instantiate :premises (@p1217) :args ((@list @t32 tptp.t_a))) % 1.13/1.32 (step @p1219 :rule symm :premises (@p1202)) % 1.13/1.32 (step @p1220 :rule false_intro :premises (@p1219)) % 1.13/1.32 (step @p1221 :rule cnf_and_neg :args (@t10)) % 1.13/1.32 (step @p1222 :rule chain_m_resolution :premises (@p1221 @p1203 @p1204) :args (@t10 (@list false false) (@list @t9 @t8))) % 1.13/1.32 (step @p1223 :rule implies_elim :premises (@p6)) % 1.13/1.32 (step @p1224 :rule reordering :premises (@p1223) :args ((or @t36 (not @t10)))) % 1.13/1.32 (step @p1225 :rule chain_m_resolution :premises (@p1224 @p1222) :args (@t36 (@list false) (@list @t10))) % 1.13/1.32 (step @p1226 :rule symm :premises (@p1225)) % 1.13/1.32 (step @p1227 :rule refl :args (@t29)) % 1.13/1.32 (step @p1228 :rule cong :premises (@p1227 @p1226) :args (@t1082)) % 1.13/1.32 (step @p1229 :rule trans :premises (@p1228 @p1220)) % 1.13/1.32 (step @p1230 :rule false_elim :premises (@p1229)) % 1.13/1.32 (step @p1231 :rule cnf_or_pos :args (@t1085)) % 1.13/1.32 (step @p1232 :rule reordering :premises (@p1231) :args ((or @t1084 @t1082 (not @t1085)))) % 1.13/1.32 (step @p1233 :rule chain_m_resolution :premises (@p1232 @p1230 @p1218) :args (@t1084 (@list true false) (@list @t1082 @t1085))) % 1.13/1.32 (step @p1234 :rule cnf_or_pos :args (@t1087)) % 1.13/1.32 (step @p1235 :rule reordering :premises (@p1234) :args ((or @t1086 @t1083 (not @t1087)))) % 1.13/1.32 (step @p1236 false :rule chain_m_resolution :premises (@p1235 @p1233 @p1209 @p1203) :args (false (@list true false false) (@list @t1083 @t1087 @t9))) % 1.13/1.32 ) % 1.13/1.32 % SZS output end Proof % 1.13/1.32 % cvc5 exiting %------------------------------------------------------------------------------