%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW275+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 : n003.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:38 AM UTC 2026 % Result : Theorem 1.12s 1.36s % Output : Proof 1.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW275+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n003.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 21:43:14 EDT 2026 % 0.15/0.34 % CPUTime : % 0.43/0.72 %----Proving TF0_NAR, FOF, or CNF % 1.12/1.36 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.12/1.36 % SZS status Theorem % 1.12/1.36 % SZS output start Proof % 1.12/1.36 ( % 1.12/1.36 (declare-sort $$unsorted 0) % 1.12/1.36 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.12/1.36 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.12/1.36 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.v_pa____ $$unsorted) % 1.12/1.36 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.v_p $$unsorted) % 1.12/1.36 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.12/1.36 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.v_n $$unsorted) % 1.12/1.36 (declare-const tptp.v_na____ $$unsorted) % 1.12/1.36 (declare-const tptp.v_r____ $$unsorted) % 1.12/1.36 (declare-const tptp.v_q $$unsorted) % 1.12/1.36 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.12/1.36 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.v_k____ $$unsorted) % 1.12/1.36 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.v_qa____ $$unsorted) % 1.12/1.36 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.v_a____ $$unsorted) % 1.12/1.36 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.v_s____ $$unsorted) % 1.12/1.36 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.12/1.36 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.12/1.36 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.12/1.36 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.12/1.36 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.12/1.36 (define @t3 () (@var "B_x" $$unsorted)) % 1.12/1.36 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.12/1.36 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.12/1.36 (define @t6 () (@list @t3)) % 1.12/1.36 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.12/1.36 (define @t8 () (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (define @t9 () (tptp.c_Groups_Ozero__class_Ozero @t8)) % 1.12/1.36 (define @t10 () (= tptp.v_qa____ @t9)) % 1.12/1.36 (define @t11 () (tptp.c_Polynomial_Oorder tptp.tc_Complex_Ocomplex tptp.v_a____ tptp.v_pa____)) % 1.12/1.36 (define @t12 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.12/1.36 (define @t13 () (@var "V_a" $$unsorted)) % 1.12/1.36 (define @t14 () (@list @t13)) % 1.12/1.36 (define @t15 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t11 tptp.v_na____)) % 1.12/1.36 (define @t16 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex tptp.v_a____) (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex) @t9))) % 1.12/1.36 (define @t17 () (tptp.c_Power_Opower__class_Opower @t8)) % 1.12/1.36 (define @t18 () (tptp.hAPP @t17 @t16)) % 1.12/1.36 (define @t19 () (tptp.hAPP @t18 @t11)) % 1.12/1.36 (define @t20 () (tptp.c_Groups_Otimes__class_Otimes @t8)) % 1.12/1.36 (define @t21 () (tptp.hAPP @t20 @t19)) % 1.12/1.36 (define @t22 () (tptp.hAPP @t20 @t16)) % 1.12/1.36 (define @t23 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.12/1.36 (define @t24 () (@var "B_s" $$unsorted)) % 1.12/1.36 (define @t25 () (@var "V_n" $$unsorted)) % 1.12/1.36 (define @t26 () (@var "V_b" $$unsorted)) % 1.12/1.36 (define @t27 () (@var "T_a" $$unsorted)) % 1.12/1.36 (define @t28 () (tptp.c_Power_Opower__class_Opower @t27)) % 1.12/1.36 (define @t29 () (tptp.hAPP @t28 @t26)) % 1.12/1.36 (define @t30 () (tptp.hAPP @t29 @t25)) % 1.12/1.36 (define @t31 () (tptp.hAPP @t28 @t13)) % 1.12/1.36 (define @t32 () (tptp.hAPP @t31 @t25)) % 1.12/1.36 (define @t33 () (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t30)) % 1.12/1.36 (define @t34 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t25)) % 1.12/1.36 (define @t35 () (tptp.c_Groups_Ozero__class_Ozero @t27)) % 1.12/1.36 (define @t36 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t13)) % 1.12/1.36 (define @t37 () (tptp.c_Orderings_Oord__class_Oless @t27 @t13 @t26)) % 1.12/1.36 (define @t38 () (tptp.class_Rings_Olinordered__semidom @t27)) % 1.12/1.36 (define @t39 () (@list @t25 @t26 @t13 @t27)) % 1.12/1.36 (define @t40 () (@list @t25)) % 1.12/1.36 (define @t41 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.12/1.36 (define @t42 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t41)) % 1.12/1.36 (define @t43 () (@var "V_m" $$unsorted)) % 1.12/1.36 (define @t44 () (tptp.hAPP @t28 @t43)) % 1.12/1.36 (define @t45 () (tptp.c_Groups_Otimes__class_Otimes @t27)) % 1.12/1.36 (define @t46 () (tptp.hAPP @t45 @t43)) % 1.12/1.36 (define @t47 () (tptp.hAPP @t44 @t25)) % 1.12/1.36 (define @t48 () (= @t25 @t7)) % 1.12/1.36 (define @t49 () (not @t48)) % 1.12/1.36 (define @t50 () (tptp.c_Groups_Oone__class_Oone @t27)) % 1.12/1.36 (define @t51 () (tptp.class_Power_Opower @t27)) % 1.12/1.36 (define @t52 () (tptp.c_Orderings_Oord__class_Oless @t27 @t50 @t13)) % 1.12/1.36 (define @t53 () (@list @t25 @t13 @t27)) % 1.12/1.36 (define @t54 () (@var "V_y_2" $$unsorted)) % 1.12/1.36 (define @t55 () (@var "V_x_2" $$unsorted)) % 1.12/1.36 (define @t56 () (@var "V_b_2" $$unsorted)) % 1.12/1.36 (define @t57 () (tptp.hAPP @t28 @t56)) % 1.12/1.36 (define @t58 () (tptp.hAPP @t57 @t54)) % 1.12/1.36 (define @t59 () (tptp.hAPP @t57 @t55)) % 1.12/1.36 (define @t60 () (tptp.c_Orderings_Oord__class_Oless @t27 @t50 @t56)) % 1.12/1.36 (define @t61 () (@list @t54 @t55 @t56 @t27)) % 1.12/1.36 (define @t62 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 @t25)) % 1.12/1.36 (define @t63 () (tptp.hAPP @t31 @t43)) % 1.12/1.36 (define @t64 () (@list @t25 @t43 @t13 @t27)) % 1.12/1.36 (define @t65 () (@var "V_N" $$unsorted)) % 1.12/1.36 (define @t66 () (tptp.hAPP @t31 @t65)) % 1.12/1.36 (define @t67 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t65)) % 1.12/1.36 (define @t68 () (@list @t13 @t65 @t25 @t27)) % 1.12/1.36 (define @t69 () (= @t13 @t26)) % 1.12/1.36 (define @t70 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t26)) % 1.12/1.36 (define @t71 () (@list @t26 @t25 @t13 @t27)) % 1.12/1.36 (define @t72 () (@var "B_m" $$unsorted)) % 1.12/1.36 (define @t73 () (@var "B_q" $$unsorted)) % 1.12/1.36 (define @t74 () (@var "B_p" $$unsorted)) % 1.12/1.36 (define @t75 () (@list @t72)) % 1.12/1.36 (define @t76 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.12/1.36 (define @t77 () (@var "V_nb_2" $$unsorted)) % 1.12/1.36 (define @t78 () (= @t77 @t41)) % 1.12/1.36 (define @t79 () (@var "V_m_2" $$unsorted)) % 1.12/1.36 (define @t80 () (= @t79 @t41)) % 1.12/1.36 (define @t81 () (and @t80 @t78)) % 1.12/1.36 (define @t82 () (tptp.hAPP @t76 @t79)) % 1.12/1.36 (define @t83 () (tptp.hAPP @t82 @t77)) % 1.12/1.36 (define @t84 () (@list @t77 @t79)) % 1.12/1.36 (define @t85 () (tptp.hAPP @t76 @t25)) % 1.12/1.36 (define @t86 () (= @t43 @t7)) % 1.12/1.36 (define @t87 () (tptp.hAPP @t76 @t43)) % 1.12/1.36 (define @t88 () (tptp.hAPP @t87 @t25)) % 1.12/1.36 (define @t89 () (@list @t25 @t43)) % 1.12/1.36 (define @t90 () (@var "V_y" $$unsorted)) % 1.12/1.36 (define @t91 () (tptp.hAPP @t28 @t90)) % 1.12/1.36 (define @t92 () (tptp.hAPP @t91 @t25)) % 1.12/1.36 (define @t93 () (@var "V_x" $$unsorted)) % 1.12/1.36 (define @t94 () (tptp.hAPP @t28 @t93)) % 1.12/1.36 (define @t95 () (tptp.hAPP @t94 @t25)) % 1.12/1.36 (define @t96 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t93 @t90)) % 1.12/1.36 (define @t97 () (tptp.class_Rings_Ocomm__semiring__1 @t27)) % 1.12/1.36 (define @t98 () (@var "V_ka_2" $$unsorted)) % 1.12/1.36 (define @t99 () (= @t98 @t7)) % 1.12/1.36 (define @t100 () (= @t79 @t77)) % 1.12/1.36 (define @t101 () (or @t100 @t99)) % 1.12/1.36 (define @t102 () (tptp.hAPP @t76 @t77)) % 1.12/1.36 (define @t103 () (tptp.hAPP @t102 @t98)) % 1.12/1.36 (define @t104 () (tptp.hAPP @t82 @t98)) % 1.12/1.36 (define @t105 () (@list @t77 @t98 @t79)) % 1.12/1.36 (define @t106 () (tptp.hAPP @t76 @t98)) % 1.12/1.36 (define @t107 () (tptp.hAPP @t106 @t77)) % 1.12/1.36 (define @t108 () (tptp.hAPP @t106 @t79)) % 1.12/1.36 (define @t109 () (= @t108 @t107)) % 1.12/1.36 (define @t110 () (@list @t77 @t79 @t98)) % 1.12/1.36 (define @t111 () (= @t77 @t7)) % 1.12/1.36 (define @t112 () (= @t79 @t7)) % 1.12/1.36 (define @t113 () (@list @t43)) % 1.12/1.36 (define @t114 () (tptp.class_Groups_Omonoid__mult @t27)) % 1.12/1.36 (define @t115 () (@list @t13 @t27)) % 1.12/1.36 (define @t116 () (@var "V_l" $$unsorted)) % 1.12/1.36 (define @t117 () (@var "V_j" $$unsorted)) % 1.12/1.36 (define @t118 () (tptp.hAPP @t76 @t117)) % 1.12/1.36 (define @t119 () (@var "V_k" $$unsorted)) % 1.12/1.36 (define @t120 () (@var "V_i" $$unsorted)) % 1.12/1.36 (define @t121 () (tptp.hAPP @t76 @t120)) % 1.12/1.36 (define @t122 () (tptp.hAPP @t121 @t119)) % 1.12/1.36 (define @t123 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t119 @t116)) % 1.12/1.36 (define @t124 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t120 @t117)) % 1.12/1.36 (define @t125 () (@list @t116 @t119 @t117 @t120)) % 1.12/1.36 (define @t126 () (tptp.hAPP @t76 @t119)) % 1.12/1.36 (define @t127 () (tptp.hAPP @t126 @t117)) % 1.12/1.36 (define @t128 () (tptp.hAPP @t126 @t120)) % 1.12/1.36 (define @t129 () (@list @t119 @t117 @t120)) % 1.12/1.36 (define @t130 () (tptp.hAPP @t118 @t119)) % 1.12/1.36 (define @t131 () (tptp.hAPP @t87 @t43)) % 1.12/1.36 (define @t132 () (tptp.hAPP @t85 @t119)) % 1.12/1.36 (define @t133 () (tptp.hAPP @t87 @t119)) % 1.12/1.36 (define @t134 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t25)) % 1.12/1.36 (define @t135 () (@list @t119 @t25 @t43)) % 1.12/1.36 (define @t136 () (tptp.hAPP @t126 @t25)) % 1.12/1.36 (define @t137 () (tptp.hAPP @t126 @t43)) % 1.12/1.36 (define @t138 () (@list @t25 @t43 @t119)) % 1.12/1.36 (define @t139 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t43)) % 1.12/1.36 (define @t140 () (@list @t13 @t25 @t43 @t27)) % 1.12/1.36 (define @t141 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t25)) % 1.12/1.36 (define @t142 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.12/1.36 (define @t143 () (tptp.hAPP @t142 @t120)) % 1.12/1.36 (define @t144 () (tptp.hAPP @t143 @t25)) % 1.12/1.36 (define @t145 () (tptp.hAPP @t143 @t43)) % 1.12/1.36 (define @t146 () (@list @t25 @t43 @t120)) % 1.12/1.36 (define @t147 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t55)) % 1.12/1.36 (define @t148 () (tptp.hAPP @t142 @t55)) % 1.12/1.36 (define @t149 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 (tptp.hAPP @t148 @t77))) % 1.12/1.36 (define @t150 () (@list @t77 @t55)) % 1.12/1.36 (define @t151 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t119)) % 1.12/1.36 (define @t152 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t120 @t117)) % 1.12/1.36 (define @t153 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t79 @t77)) % 1.12/1.36 (define @t154 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t98)) % 1.12/1.36 (define @t155 () (and @t154 @t153)) % 1.12/1.36 (define @t156 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t108 @t107)) % 1.12/1.36 (define @t157 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t77)) % 1.12/1.36 (define @t158 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t79)) % 1.12/1.36 (define @t159 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t79 @t77)) % 1.12/1.36 (define @t160 () (=> @t154 @t159)) % 1.12/1.36 (define @t161 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t108 @t107)) % 1.12/1.36 (define @t162 () (@list @t93 @t25 @t27)) % 1.12/1.36 (define @t163 () (@var "V_P_2" $$unsorted)) % 1.12/1.36 (define @t164 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t163 @t77) @t79))) % 1.12/1.36 (define @t165 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t77 @t79)) % 1.12/1.36 (define @t166 () (@var "V_t" $$unsorted)) % 1.12/1.36 (define @t167 () (@var "V_s" $$unsorted)) % 1.12/1.36 (define @t168 () (= @t43 @t25)) % 1.12/1.36 (define @t169 () (not @t168)) % 1.12/1.36 (define @t170 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t43)) % 1.12/1.36 (define @t171 () (@list @t43 @t25)) % 1.12/1.36 (define @t172 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t90)) % 1.12/1.36 (define @t173 () (= @t93 @t90)) % 1.12/1.36 (define @t174 () (not @t173)) % 1.12/1.36 (define @t175 () (@list @t90 @t93)) % 1.12/1.36 (define @t176 () (not @t100)) % 1.12/1.36 (define @t177 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t120 @t117)) % 1.12/1.36 (define @t178 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t177 @t119)) % 1.12/1.36 (define @t179 () (= @t13 @t35)) % 1.12/1.36 (define @t180 () (not @t179)) % 1.12/1.36 (define @t181 () (tptp.class_Rings_Oring__1__no__zero__divisors @t27)) % 1.12/1.36 (define @t182 () (tptp.hAPP @t45 @t32)) % 1.12/1.36 (define @t183 () (tptp.hAPP @t45 @t13)) % 1.12/1.36 (define @t184 () (tptp.hAPP @t183 @t26)) % 1.12/1.36 (define @t185 () (tptp.class_Groups_Ocomm__monoid__mult @t27)) % 1.12/1.36 (define @t186 () (tptp.hAPP @t183 @t32)) % 1.12/1.36 (define @t187 () (tptp.hAPP @t182 @t13)) % 1.12/1.36 (define @t188 () (@list @t25 @t27)) % 1.12/1.36 (define @t189 () (not @t111)) % 1.12/1.36 (define @t190 () (@list @t77)) % 1.12/1.36 (define @t191 () (or @t153 @t100)) % 1.12/1.36 (define @t192 () (= @t134 @t7)) % 1.12/1.36 (define @t193 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t43)) % 1.12/1.36 (define @t194 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t116 @t25)) % 1.12/1.36 (define @t195 () (@list @t116 @t25 @t43)) % 1.12/1.36 (define @t196 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t117 @t119)) % 1.12/1.36 (define @t197 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t77 @t98)) % 1.12/1.36 (define @t198 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t79 @t98)) % 1.12/1.36 (define @t199 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t77)) % 1.12/1.36 (define @t200 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t79)) % 1.12/1.36 (define @t201 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t119 @t25)) % 1.12/1.36 (define @t202 () (@list @t25 @t120)) % 1.12/1.36 (define @t203 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t13 @t26)) % 1.12/1.36 (define @t204 () (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t13)) % 1.12/1.36 (define @t205 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t50 @t13)) % 1.12/1.36 (define @t206 () (@var "V_aa_2" $$unsorted)) % 1.12/1.36 (define @t207 () (= @t206 @t35)) % 1.12/1.36 (define @t208 () (tptp.hAPP @t28 @t206)) % 1.12/1.36 (define @t209 () (tptp.hAPP @t208 @t77)) % 1.12/1.36 (define @t210 () (tptp.class_Rings_Ozero__neq__one @t27)) % 1.12/1.36 (define @t211 () (tptp.class_Rings_Ono__zero__divisors @t27)) % 1.12/1.36 (define @t212 () (tptp.class_Rings_Omult__zero @t27)) % 1.12/1.36 (define @t213 () (and @t51 @t212 @t211 @t210)) % 1.12/1.36 (define @t214 () (@list @t77 @t206 @t27)) % 1.12/1.36 (define @t215 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t43)) % 1.12/1.36 (define @t216 () (@list @t79 @t77)) % 1.12/1.36 (define @t217 () (@var "V_c" $$unsorted)) % 1.12/1.36 (define @t218 () (@list @t217 @t26 @t13)) % 1.12/1.36 (define @t219 () (tptp.hAPP @t28 @t35)) % 1.12/1.36 (define @t220 () (tptp.hAPP @t219 @t25)) % 1.12/1.36 (define @t221 () (tptp.class_Rings_Osemiring__0 @t27)) % 1.12/1.36 (define @t222 () (and @t51 @t221)) % 1.12/1.36 (define @t223 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t50)) % 1.12/1.36 (define @t224 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t13)) % 1.12/1.36 (define @t225 () (tptp.class_Rings_Oring__1 @t27)) % 1.12/1.36 (define @t226 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t65)) % 1.12/1.36 (define @t227 () (tptp.c_Orderings_Oord__class_Oless @t27 @t13 @t50)) % 1.12/1.36 (define @t228 () (@var "B_r" $$unsorted)) % 1.12/1.36 (define @t229 () (@var "V_p" $$unsorted)) % 1.12/1.36 (define @t230 () (tptp.c_Polynomial_Oorder @t27 @t13 @t229)) % 1.12/1.36 (define @t231 () (tptp.tc_Polynomial_Opoly @t27)) % 1.12/1.36 (define @t232 () (tptp.c_Groups_Ozero__class_Ozero @t231)) % 1.12/1.36 (define @t233 () (tptp.c_Polynomial_OpCons @t27 @t50 @t232)) % 1.12/1.36 (define @t234 () (tptp.c_Power_Opower__class_Opower @t231)) % 1.12/1.36 (define @t235 () (tptp.hAPP @t234 (tptp.c_Polynomial_OpCons @t27 @t224 @t233))) % 1.12/1.36 (define @t236 () (tptp.c_Rings_Odvd__class_Odvd @t231 (tptp.hAPP @t235 @t230) @t229)) % 1.12/1.36 (define @t237 () (tptp.class_Rings_Oidom @t27)) % 1.12/1.36 (define @t238 () (@list @t229 @t13 @t27)) % 1.12/1.36 (define @t239 () (@var "V_c_2" $$unsorted)) % 1.12/1.36 (define @t240 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t239)) % 1.12/1.36 (define @t241 () (@var "V_pb_2" $$unsorted)) % 1.12/1.36 (define @t242 () (tptp.c_Polynomial_Opoly @t27 @t241)) % 1.12/1.36 (define @t243 () (@list @t239 @t241 @t27)) % 1.12/1.36 (define @t244 () (@var "B_k" $$unsorted)) % 1.12/1.36 (define @t245 () (= tptp.v_s____ (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t244 @t9))) % 1.12/1.36 (define @t246 () (@list @t244)) % 1.12/1.36 (define @t247 () (tptp.hAPP (tptp.hAPP @t234 (tptp.c_Polynomial_OpCons @t27 @t13 @t233)) @t25)) % 1.12/1.36 (define @t248 () (= @t241 @t232)) % 1.12/1.36 (define @t249 () (tptp.c_Nat_OSuc @t7)) % 1.12/1.36 (define @t250 () (@list @t119)) % 1.12/1.36 (define @t251 () (tptp.c_Nat_OSuc @t25)) % 1.12/1.36 (define @t252 () (tptp.c_Nat_OSuc @t43)) % 1.12/1.36 (define @t253 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t252 @t251)) % 1.12/1.36 (define @t254 () (tptp.hAPP @t85 @t43)) % 1.12/1.36 (define @t255 () (@var "V_nat_H_2" $$unsorted)) % 1.12/1.36 (define @t256 () (@var "V_nat_2" $$unsorted)) % 1.12/1.36 (define @t257 () (tptp.hAPP @t76 (tptp.c_Nat_OSuc @t98))) % 1.12/1.36 (define @t258 () (tptp.hAPP @t257 @t77)) % 1.12/1.36 (define @t259 () (tptp.hAPP @t257 @t79)) % 1.12/1.36 (define @t260 () (= @t79 @t249)) % 1.12/1.36 (define @t261 () (@list @t79)) % 1.12/1.36 (define @t262 () (tptp.class_Groups_Oab__group__add @t27)) % 1.12/1.36 (define @t263 () (@list @t27)) % 1.12/1.36 (define @t264 () (tptp.c_Polynomial_Odegree @t27 @t229)) % 1.12/1.36 (define @t265 () (tptp.c_Groups_Ouminus__class_Ouminus @t231 @t229)) % 1.12/1.36 (define @t266 () (@list @t229 @t27)) % 1.12/1.36 (define @t267 () (@var "V_nat_H" $$unsorted)) % 1.12/1.36 (define @t268 () (@var "V_nat_H_1" $$unsorted)) % 1.12/1.36 (define @t269 () (= @t77 @t249)) % 1.12/1.36 (define @t270 () (tptp.c_Nat_OSuc @t79)) % 1.12/1.36 (define @t271 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t77 @t270)) % 1.12/1.36 (define @t272 () (tptp.c_Nat_OSuc @t77)) % 1.12/1.36 (define @t273 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t79 @t272)) % 1.12/1.36 (define @t274 () (= @t271 (= @t77 @t79))) % 1.12/1.36 (define @t275 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t251)) % 1.12/1.36 (define @t276 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t252 @t25)) % 1.12/1.36 (define @t277 () (tptp.c_Nat_OSuc @t120)) % 1.12/1.36 (define @t278 () (not @t141)) % 1.12/1.36 (define @t279 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t272 @t79)) % 1.12/1.36 (define @t280 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 @t251)) % 1.12/1.36 (define @t281 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t252 @t25)) % 1.12/1.36 (define @t282 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t119 @t134)) % 1.12/1.36 (define @t283 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t119 @t25)) % 1.12/1.36 (define @t284 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t119 @t43)) % 1.12/1.36 (define @t285 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t252 @t25)) % 1.12/1.36 (define @t286 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t54)) % 1.12/1.36 (define @t287 () (= @t55 @t54)) % 1.12/1.36 (define @t288 () (tptp.c_Nat_OSuc @t249)) % 1.12/1.36 (define @t289 () (@list @t54 @t55 @t27)) % 1.12/1.36 (define @t290 () (tptp.hAPP @t31 @t251)) % 1.12/1.36 (define @t291 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t25 @t43)) % 1.12/1.36 (define @t292 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t43 @t25)) % 1.12/1.36 (define @t293 () (@var "B_j" $$unsorted)) % 1.12/1.36 (define @t294 () (@list @t293)) % 1.12/1.36 (define @t295 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t249 @t43)) % 1.12/1.36 (define @t296 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t249 @t25)) % 1.12/1.36 (define @t297 () (tptp.c_Nat_OSuc @t264)) % 1.12/1.36 (define @t298 () (tptp.c_Polynomial_OpCons @t27 @t13 @t229)) % 1.12/1.36 (define @t299 () (tptp.c_Polynomial_Odegree @t27 @t298)) % 1.12/1.36 (define @t300 () (tptp.class_Groups_Ozero @t27)) % 1.12/1.36 (define @t301 () (= @t229 @t232)) % 1.12/1.36 (define @t302 () (not @t301)) % 1.12/1.36 (define @t303 () (=> @t302 (= @t299 @t297))) % 1.12/1.36 (define @t304 () (@list @t13 @t229 @t27)) % 1.12/1.36 (define @t305 () (@var "V_r" $$unsorted)) % 1.12/1.36 (define @t306 () (tptp.hAPP @t29 @t251)) % 1.12/1.36 (define @t307 () (tptp.c_Orderings_Oord__class_Oless @t27 @t90 @t93)) % 1.12/1.36 (define @t308 () (tptp.c_Orderings_Oord__class_Oless @t27 @t93 @t90)) % 1.12/1.36 (define @t309 () (not @t308)) % 1.12/1.36 (define @t310 () (=> @t174 (=> @t309 @t307))) % 1.12/1.36 (define @t311 () (tptp.class_Rings_Olinordered__idom @t27)) % 1.12/1.36 (define @t312 () (@list @t90 @t93 @t27)) % 1.12/1.36 (define @t313 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t13 @t217)) % 1.12/1.36 (define @t314 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t26 @t217)) % 1.12/1.36 (define @t315 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t13 @t26)) % 1.12/1.36 (define @t316 () (@list @t217 @t26 @t13 @t27)) % 1.12/1.36 (define @t317 () (@var "V_qb_2" $$unsorted)) % 1.12/1.36 (define @t318 () (= @t241 @t317)) % 1.12/1.36 (define @t319 () (= @t206 @t56)) % 1.12/1.36 (define @t320 () (tptp.c_Polynomial_OpCons @t27 @t206 @t241)) % 1.12/1.36 (define @t321 () (tptp.class_Int_Oring__char__0 @t27)) % 1.12/1.36 (define @t322 () (and @t321 @t237)) % 1.12/1.36 (define @t323 () (@list @t317 @t241 @t27)) % 1.12/1.36 (define @t324 () (tptp.c_Nat_OSuc @t42)) % 1.12/1.36 (define @t325 () (not (tptp.c_Rings_Odvd__class_Odvd @t231 (tptp.hAPP @t235 (tptp.c_Nat_OSuc @t230)) @t229))) % 1.12/1.36 (define @t326 () (tptp.hAPP @t45 @t35)) % 1.12/1.36 (define @t327 () (= (tptp.hAPP @t326 @t13) @t35)) % 1.12/1.36 (define @t328 () (= (tptp.hAPP @t183 @t35) @t35)) % 1.12/1.36 (define @t329 () (tptp.hAPP @t45 @t206)) % 1.12/1.36 (define @t330 () (tptp.hAPP @t329 @t56)) % 1.12/1.36 (define @t331 () (@list @t56 @t206 @t27)) % 1.12/1.36 (define @t332 () (= @t184 @t35)) % 1.12/1.36 (define @t333 () (= @t26 @t35)) % 1.12/1.36 (define @t334 () (not @t333)) % 1.12/1.36 (define @t335 () (@list @t26 @t13 @t27)) % 1.12/1.36 (define @t336 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t26)) % 1.12/1.36 (define @t337 () (tptp.hAPP @t183 @t336)) % 1.12/1.36 (define @t338 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t184)) % 1.12/1.36 (define @t339 () (tptp.class_Rings_Oring @t27)) % 1.12/1.36 (define @t340 () (tptp.hAPP @t45 @t224)) % 1.12/1.36 (define @t341 () (tptp.hAPP @t340 @t26)) % 1.12/1.36 (define @t342 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t56)) % 1.12/1.36 (define @t343 () (= @t206 @t342)) % 1.12/1.36 (define @t344 () (tptp.hAPP @t45 @t56)) % 1.12/1.36 (define @t345 () (tptp.hAPP @t45 @t26)) % 1.12/1.36 (define @t346 () (tptp.hAPP @t345 @t13)) % 1.12/1.36 (define @t347 () (tptp.hAPP @t345 @t217)) % 1.12/1.36 (define @t348 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t13 @t347)) % 1.12/1.36 (define @t349 () (@list @t26 @t217 @t13 @t27)) % 1.12/1.36 (define @t350 () (@var "V_d" $$unsorted)) % 1.12/1.36 (define @t351 () (tptp.hAPP @t345 @t350)) % 1.12/1.36 (define @t352 () (tptp.hAPP @t183 @t217)) % 1.12/1.36 (define @t353 () (@list @t350 @t217 @t26 @t13 @t27)) % 1.12/1.36 (define @t354 () (tptp.class_Rings_Odvd @t27)) % 1.12/1.36 (define @t355 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t184 @t217)) % 1.12/1.36 (define @t356 () (@var "V_z" $$unsorted)) % 1.12/1.36 (define @t357 () (tptp.class_Rings_Ocomm__ring__1 @t27)) % 1.12/1.36 (define @t358 () (@list @t356 @t90 @t93 @t27)) % 1.12/1.36 (define @t359 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t55 @t54)) % 1.12/1.36 (define @t360 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t55)) % 1.12/1.36 (define @t361 () (@var "V_q" $$unsorted)) % 1.12/1.36 (define @t362 () (tptp.c_Groups_Ominus__class_Ominus @t231 @t229 @t361)) % 1.12/1.36 (define @t363 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t13 @t26)) % 1.12/1.36 (define @t364 () (tptp.c_Polynomial_OpCons @t27 @t26 @t361)) % 1.12/1.36 (define @t365 () (@list @t361 @t26 @t229 @t13 @t27)) % 1.12/1.36 (define @t366 () (@var "T_b" $$unsorted)) % 1.12/1.36 (define @t367 () (tptp.tc_Polynomial_Opoly @t366)) % 1.12/1.36 (define @t368 () (tptp.c_Groups_Oone__class_Oone @t231)) % 1.12/1.36 (define @t369 () (@list @t93 @t27)) % 1.12/1.36 (define @t370 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t361) @t93)) % 1.12/1.36 (define @t371 () (tptp.c_Polynomial_Opoly @t27 @t229)) % 1.12/1.36 (define @t372 () (tptp.hAPP @t371 @t93)) % 1.12/1.36 (define @t373 () (tptp.class_Rings_Ocomm__ring @t27)) % 1.12/1.36 (define @t374 () (@list @t93 @t361 @t229 @t27)) % 1.12/1.36 (define @t375 () (tptp.c_Polynomial_Opoly @t27 @t232)) % 1.12/1.36 (define @t376 () (@list @t241 @t27)) % 1.12/1.36 (define @t377 () (tptp.c_Groups_Otimes__class_Otimes @t231)) % 1.12/1.36 (define @t378 () (tptp.class_Rings_Ocomm__semiring__0 @t27)) % 1.12/1.36 (define @t379 () (@list @t361 @t27)) % 1.12/1.36 (define @t380 () (tptp.hAPP @t377 @t229)) % 1.12/1.36 (define @t381 () (tptp.hAPP @t183 @t13)) % 1.12/1.36 (define @t382 () (tptp.class_Rings_Olinordered__ring @t27)) % 1.12/1.36 (define @t383 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t56 @t35)) % 1.12/1.36 (define @t384 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t206 @t35)) % 1.12/1.36 (define @t385 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t56)) % 1.12/1.36 (define @t386 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t206)) % 1.12/1.36 (define @t387 () (tptp.class_Rings_Olinordered__ring__strict @t27)) % 1.12/1.36 (define @t388 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t184)) % 1.12/1.36 (define @t389 () (tptp.class_Rings_Oordered__cancel__semiring @t27)) % 1.12/1.36 (define @t390 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t184 @t35)) % 1.12/1.36 (define @t391 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t26 @t35)) % 1.12/1.36 (define @t392 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t13 @t35)) % 1.12/1.36 (define @t393 () (tptp.class_Rings_Oordered__ring @t27)) % 1.12/1.36 (define @t394 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t352 @t347)) % 1.12/1.36 (define @t395 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t217)) % 1.12/1.36 (define @t396 () (tptp.class_Rings_Oordered__semiring @t27)) % 1.12/1.36 (define @t397 () (tptp.hAPP @t45 @t217)) % 1.12/1.36 (define @t398 () (tptp.hAPP @t397 @t26)) % 1.12/1.36 (define @t399 () (tptp.hAPP @t397 @t13)) % 1.12/1.36 (define @t400 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t399 @t398)) % 1.12/1.36 (define @t401 () (=> @t203 (=> @t395 @t400))) % 1.12/1.36 (define @t402 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t217 @t35)) % 1.12/1.36 (define @t403 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t26 @t13)) % 1.12/1.36 (define @t404 () (@list @t217 @t13 @t26 @t27)) % 1.12/1.36 (define @t405 () (=> @t395 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t352 @t351))) % 1.12/1.36 (define @t406 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t217 @t350)) % 1.12/1.36 (define @t407 () (tptp.c_Orderings_Oord__class_Oless @t27 @t56 @t206)) % 1.12/1.36 (define @t408 () (tptp.c_Orderings_Oord__class_Oless @t27 @t239 @t35)) % 1.12/1.36 (define @t409 () (tptp.c_Orderings_Oord__class_Oless @t27 @t206 @t56)) % 1.12/1.36 (define @t410 () (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t239)) % 1.12/1.36 (define @t411 () (or (and @t410 @t409) (and @t408 @t407))) % 1.12/1.36 (define @t412 () (tptp.hAPP @t344 @t239)) % 1.12/1.36 (define @t413 () (tptp.hAPP @t329 @t239)) % 1.12/1.36 (define @t414 () (@list @t56 @t239 @t206 @t27)) % 1.12/1.36 (define @t415 () (tptp.hAPP @t45 @t239)) % 1.12/1.36 (define @t416 () (tptp.hAPP @t415 @t56)) % 1.12/1.36 (define @t417 () (tptp.hAPP @t415 @t206)) % 1.12/1.36 (define @t418 () (tptp.c_Orderings_Oord__class_Oless @t27 @t417 @t416)) % 1.12/1.36 (define @t419 () (@list @t56 @t206 @t239 @t27)) % 1.12/1.36 (define @t420 () (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t184)) % 1.12/1.36 (define @t421 () (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t26)) % 1.12/1.36 (define @t422 () (tptp.class_Rings_Olinordered__semiring__strict @t27)) % 1.12/1.36 (define @t423 () (tptp.c_Orderings_Oord__class_Oless @t27 @t184 @t35)) % 1.12/1.36 (define @t424 () (tptp.c_Orderings_Oord__class_Oless @t27 @t26 @t35)) % 1.12/1.36 (define @t425 () (=> @t204 @t421)) % 1.12/1.36 (define @t426 () (@list @t13 @t26 @t27)) % 1.12/1.36 (define @t427 () (tptp.c_Orderings_Oord__class_Oless @t27 @t13 @t35)) % 1.12/1.36 (define @t428 () (tptp.c_Orderings_Oord__class_Oless @t27 @t352 @t347)) % 1.12/1.36 (define @t429 () (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t217)) % 1.12/1.36 (define @t430 () (tptp.c_Orderings_Oord__class_Oless @t27 @t399 @t398)) % 1.12/1.36 (define @t431 () (=> @t37 (=> @t429 @t430))) % 1.12/1.36 (define @t432 () (tptp.c_Orderings_Oord__class_Oless @t27 @t217 @t35)) % 1.12/1.36 (define @t433 () (tptp.c_Orderings_Oord__class_Oless @t27 @t26 @t13)) % 1.12/1.36 (define @t434 () (tptp.c_Orderings_Oord__class_Oless @t27 @t206 @t35)) % 1.12/1.36 (define @t435 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t206)) % 1.12/1.36 (define @t436 () (@list @t206 @t27)) % 1.12/1.36 (define @t437 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t206 @t56)) % 1.12/1.36 (define @t438 () (= @t239 @t35)) % 1.12/1.36 (define @t439 () (or @t438 @t437)) % 1.12/1.36 (define @t440 () (= @t55 @t50)) % 1.12/1.36 (define @t441 () (tptp.hAPP @t45 @t55)) % 1.12/1.36 (define @t442 () (tptp.hAPP @t441 @t55)) % 1.12/1.36 (define @t443 () (@list @t55 @t27)) % 1.12/1.36 (define @t444 () (@list @t241 @t206 @t27)) % 1.12/1.36 (define @t445 () (tptp.hAPP @t380 @t361)) % 1.12/1.36 (define @t446 () (tptp.hAPP @t76 @t264)) % 1.12/1.36 (define @t447 () (tptp.hAPP (tptp.hAPP @t234 @t229) @t25)) % 1.12/1.36 (define @t448 () (@list @t25 @t229 @t27)) % 1.12/1.36 (define @t449 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t206 @t56)) % 1.12/1.36 (define @t450 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t417 @t416)) % 1.12/1.36 (define @t451 () (tptp.c_Orderings_Oord__class_Oless @t27 @t352 @t351)) % 1.12/1.36 (define @t452 () (=> @t395 @t451)) % 1.12/1.36 (define @t453 () (tptp.c_Orderings_Oord__class_Oless @t27 @t217 @t350)) % 1.12/1.36 (define @t454 () (=> @t395 @t37)) % 1.12/1.36 (define @t455 () (=> @t428 @t454)) % 1.12/1.36 (define @t456 () (tptp.class_Rings_Olinordered__semiring @t27)) % 1.12/1.36 (define @t457 () (=> @t430 @t454)) % 1.12/1.36 (define @t458 () (@list @t26 @t13 @t217 @t27)) % 1.12/1.36 (define @t459 () (=> @t429 @t203)) % 1.12/1.36 (define @t460 () (tptp.hAPP @t45 @t93)) % 1.12/1.36 (define @t461 () (tptp.hAPP @t460 @t90)) % 1.12/1.36 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t90 @t50)) % 1.12/1.36 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t90)) % 1.12/1.36 (define @t464 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t93)) % 1.12/1.36 (define @t465 () (tptp.hAPP @t45 @t90)) % 1.12/1.36 (define @t466 () (tptp.c_Polynomial_OpCons @t27 @t13 @t232)) % 1.12/1.36 (define @t467 () (tptp.c_Polynomial_Odegree @t27 @t361)) % 1.12/1.36 (define @t468 () (not (= @t361 @t232))) % 1.12/1.36 (define @t469 () (tptp.c_Rings_Odvd__class_Odvd @t231 @t229 @t361)) % 1.12/1.36 (define @t470 () (@list @t361 @t229 @t27)) % 1.12/1.36 (define @t471 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t41)) % 1.12/1.36 (define @t472 () (tptp.hAPP @t142 @t229)) % 1.12/1.36 (define @t473 () (tptp.hAPP @t76 @t229)) % 1.12/1.36 (define @t474 () (tptp.hAPP @t472 @t43)) % 1.12/1.36 (define @t475 () (not @t86)) % 1.12/1.36 (define @t476 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t79 @t77)) % 1.12/1.36 (define @t477 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t108 @t107)) % 1.12/1.36 (define @t478 () (@list @t93)) % 1.12/1.36 (define @t479 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t54 @t55)) % 1.12/1.36 (define @t480 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t55 @t54)) % 1.12/1.36 (define @t481 () (@list @t54 @t55)) % 1.12/1.36 (define @t482 () (and @t480 (not @t479))) % 1.12/1.36 (define @t483 () (not @t287)) % 1.12/1.36 (define @t484 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t26 @t13)) % 1.12/1.36 (define @t485 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t13 @t26)) % 1.12/1.36 (define @t486 () (and @t485 (not @t484))) % 1.12/1.36 (define @t487 () (not @t69)) % 1.12/1.36 (define @t488 () (@list @t26 @t13)) % 1.12/1.36 (define @t489 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t93 @t90)) % 1.12/1.36 (define @t490 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t90 @t93)) % 1.12/1.36 (define @t491 () (and @t489 (not @t490))) % 1.12/1.36 (define @t492 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t13 @t217)) % 1.12/1.36 (define @t493 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t26 @t217)) % 1.12/1.36 (define @t494 () (= @t26 @t217)) % 1.12/1.36 (define @t495 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t93 @t356)) % 1.12/1.36 (define @t496 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t90 @t356)) % 1.12/1.36 (define @t497 () (@list @t356 @t90 @t93)) % 1.12/1.36 (define @t498 () (and @t492 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t217 @t13)))) % 1.12/1.36 (define @t499 () (and @t495 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t356 @t93)))) % 1.12/1.36 (define @t500 () (=> (and @t496 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t356 @t90))) @t499)) % 1.12/1.36 (define @t501 () (not (= @t90 @t93))) % 1.12/1.36 (define @t502 () (tptp.c_Polynomial_Odegree @t27 @t362)) % 1.12/1.36 (define @t503 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t467 @t25)) % 1.12/1.36 (define @t504 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t264 @t25)) % 1.12/1.36 (define @t505 () (@list @t361 @t25 @t229 @t27)) % 1.12/1.36 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t467 @t25)) % 1.12/1.36 (define @t507 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t264 @t25)) % 1.12/1.36 (define @t508 () (@list @t56 @t206 @t77)) % 1.12/1.36 (define @t509 () (@list @t26 @t25 @t13)) % 1.12/1.36 (define @t510 () (tptp.hAPP @t94 (tptp.c_Nat_OSuc @t361))) % 1.12/1.36 (define @t511 () (tptp.hAPP @t94 @t361)) % 1.12/1.36 (define @t512 () (tptp.hAPP @t45 @t511)) % 1.12/1.36 (define @t513 () (@list @t361 @t93 @t27)) % 1.12/1.36 (define @t514 () (@var "V_ry" $$unsorted)) % 1.12/1.36 (define @t515 () (@var "V_lx" $$unsorted)) % 1.12/1.36 (define @t516 () (tptp.hAPP @t45 @t515)) % 1.12/1.36 (define @t517 () (@var "V_rx" $$unsorted)) % 1.12/1.36 (define @t518 () (tptp.hAPP @t45 @t517)) % 1.12/1.36 (define @t519 () (tptp.hAPP @t518 @t514)) % 1.12/1.36 (define @t520 () (tptp.hAPP @t516 @t519)) % 1.12/1.36 (define @t521 () (@list @t514 @t517 @t515 @t27)) % 1.12/1.36 (define @t522 () (tptp.hAPP @t45 (tptp.hAPP @t516 @t517))) % 1.12/1.36 (define @t523 () (@var "V_ly" $$unsorted)) % 1.12/1.36 (define @t524 () (tptp.hAPP @t45 @t523)) % 1.12/1.36 (define @t525 () (tptp.hAPP @t45 (tptp.hAPP @t516 @t523))) % 1.12/1.36 (define @t526 () (tptp.hAPP @t525 @t517)) % 1.12/1.36 (define @t527 () (@list @t517 @t523 @t515 @t27)) % 1.12/1.36 (define @t528 () (tptp.hAPP @t525 @t519)) % 1.12/1.36 (define @t529 () (@list @t514 @t517 @t523 @t515 @t27)) % 1.12/1.36 (define @t530 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.12/1.36 (define @t531 () (= (tptp.hAPP (tptp.hAPP @t45 @t50) @t13) @t13)) % 1.12/1.36 (define @t532 () (= (tptp.hAPP @t183 @t50) @t13)) % 1.12/1.36 (define @t533 () (tptp.hAPP @t94 @t229)) % 1.12/1.36 (define @t534 () (@list @t361 @t229 @t93 @t27)) % 1.12/1.36 (define @t535 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t93)) % 1.12/1.36 (define @t536 () (tptp.hAPP @t460 @t511)) % 1.12/1.36 (define @t537 () (tptp.class_Groups_Ogroup__add @t27)) % 1.12/1.36 (define @t538 () (tptp.class_Groups_Oordered__ab__group__add @t27)) % 1.12/1.36 (define @t539 () (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t206)) % 1.12/1.36 (define @t540 () (tptp.class_Groups_Olinordered__ab__group__add @t27)) % 1.12/1.36 (define @t541 () (= @t55 @t35)) % 1.12/1.36 (define @t542 () (@var "V_d_2" $$unsorted)) % 1.12/1.36 (define @t543 () (= @t239 @t542)) % 1.12/1.36 (define @t544 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t206 @t56)) % 1.12/1.36 (define @t545 () (= @t544 (tptp.c_Groups_Ominus__class_Ominus @t27 @t239 @t542))) % 1.12/1.36 (define @t546 () (@list @t542 @t239 @t56 @t206 @t27)) % 1.12/1.36 (define @t547 () (= @t544 @t35)) % 1.12/1.36 (define @t548 () (@list @t206 @t56 @t27)) % 1.12/1.36 (define @t549 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t363)) % 1.12/1.36 (define @t550 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t27 @t229)) % 1.12/1.36 (define @t551 () (tptp.class_Orderings_Opreorder @t27)) % 1.12/1.36 (define @t552 () (tptp.hAPP @t530 @t93)) % 1.12/1.36 (define @t553 () (tptp.hAPP @t552 @t90)) % 1.12/1.36 (define @t554 () (tptp.c_Polynomial_Opcompose @t27 @t229 @t361)) % 1.12/1.36 (define @t555 () (@var "V_one_2" $$unsorted)) % 1.12/1.36 (define @t556 () (@var "V_times_2" $$unsorted)) % 1.12/1.36 (define @t557 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t27 @t555 @t556) @t206)) % 1.12/1.36 (define @t558 () (tptp.tc_fun @t27 @t366)) % 1.12/1.36 (define @t559 () (tptp.c_Orderings_Oord__class_Oless__eq @t558 @t2 @t1)) % 1.12/1.36 (define @t560 () (tptp.class_Orderings_Oord @t366)) % 1.12/1.36 (define @t561 () (@list @t1 @t2 @t27 @t366)) % 1.12/1.36 (define @t562 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t90 @t93)) % 1.12/1.36 (define @t563 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t93 @t90)) % 1.12/1.36 (define @t564 () (tptp.class_Orderings_Olinorder @t27)) % 1.12/1.36 (define @t565 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t54 @t55)) % 1.12/1.36 (define @t566 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t55 @t54)) % 1.12/1.36 (define @t567 () (tptp.class_Orderings_Oorder @t27)) % 1.12/1.36 (define @t568 () (= @t566 @t287)) % 1.12/1.36 (define @t569 () (@list @t55 @t54 @t27)) % 1.12/1.36 (define @t570 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t13 @t217)) % 1.12/1.36 (define @t571 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t26 @t217)) % 1.12/1.36 (define @t572 () (tptp.class_Orderings_Oord @t27)) % 1.12/1.36 (define @t573 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t217 @t13)) % 1.12/1.36 (define @t574 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t90 @t356)) % 1.12/1.36 (define @t575 () (@list @t93 @t90 @t27)) % 1.12/1.36 (define @t576 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t356 @t90)) % 1.12/1.36 (define @t577 () (@list @t356 @t93 @t90 @t27)) % 1.12/1.36 (define @t578 () (tptp.c_Orderings_Oord__class_Oless @t27 @t54 @t55)) % 1.12/1.36 (define @t579 () (tptp.c_Orderings_Oord__class_Oless @t27 @t55 @t54)) % 1.12/1.36 (define @t580 () (not @t579)) % 1.12/1.36 (define @t581 () (= @t580 @t287)) % 1.12/1.36 (define @t582 () (tptp.c_Orderings_Oord__class_Oless @t27 @t13 @t217)) % 1.12/1.36 (define @t583 () (tptp.c_Orderings_Oord__class_Oless @t27 @t26 @t217)) % 1.12/1.36 (define @t584 () (tptp.c_Orderings_Oord__class_Oless @t27 @t217 @t13)) % 1.12/1.36 (define @t585 () (tptp.c_Orderings_Oord__class_Oless @t27 @t93 @t356)) % 1.12/1.36 (define @t586 () (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t90 @t356) @t585)) % 1.12/1.36 (define @t587 () (tptp.c_Orderings_Oord__class_Oless @t27 @t356 @t93)) % 1.12/1.36 (define @t588 () (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t356 @t90) @t587)) % 1.12/1.36 (define @t589 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t25 @t43)) % 1.12/1.36 (define @t590 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t43 @t25)) % 1.12/1.36 (define @t591 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.12/1.36 (define @t592 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.12/1.36 (define @t593 () (tptp.hAPP @t592 @t119)) % 1.12/1.36 (define @t594 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t93 @t90)) % 1.12/1.36 (define @t595 () (tptp.c_Polynomial_Opos__poly @t27 @t241)) % 1.12/1.36 (define @t596 () (tptp.class_RealVector_Oreal__normed__algebra @t27)) % 1.12/1.36 (define @t597 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.12/1.36 (define @t598 () (@list @t356)) % 1.12/1.36 (define @t599 () (@var "V_z_2" $$unsorted)) % 1.12/1.36 (define @t600 () (@list @t599)) % 1.12/1.36 (define @t601 () (tptp.hAPP @t592 @t356)) % 1.12/1.36 (define @t602 () (@var "V_w" $$unsorted)) % 1.12/1.36 (define @t603 () (tptp.hAPP @t592 @t602)) % 1.12/1.36 (define @t604 () (tptp.hAPP @t601 @t602)) % 1.12/1.36 (define @t605 () (@list @t602 @t356)) % 1.12/1.36 (define @t606 () (@var "V_l_2" $$unsorted)) % 1.12/1.36 (define @t607 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t98 @t606)) % 1.12/1.36 (define @t608 () (@list @t606 @t98)) % 1.12/1.36 (define @t609 () (@var "V_z2" $$unsorted)) % 1.12/1.36 (define @t610 () (tptp.hAPP @t603 @t609)) % 1.12/1.36 (define @t611 () (@var "V_z1" $$unsorted)) % 1.12/1.36 (define @t612 () (tptp.hAPP @t603 @t611)) % 1.12/1.36 (define @t613 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t611 @t609)) % 1.12/1.36 (define @t614 () (@list @t609 @t611 @t602)) % 1.12/1.36 (define @t615 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t356)) % 1.12/1.36 (define @t616 () (@var "V_z3" $$unsorted)) % 1.12/1.36 (define @t617 () (tptp.hAPP @t592 @t609)) % 1.12/1.36 (define @t618 () (tptp.hAPP @t592 @t611)) % 1.12/1.36 (define @t619 () (@list @t616 @t609 @t611)) % 1.12/1.36 (define @t620 () (tptp.hAPP @t617 @t602)) % 1.12/1.36 (define @t621 () (tptp.hAPP @t618 @t602)) % 1.12/1.36 (define @t622 () (@list @t602 @t609 @t611)) % 1.12/1.36 (define @t623 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t119)) % 1.12/1.36 (define @t624 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t120 @t117)) % 1.12/1.36 (define @t625 () (@var "V_w_2" $$unsorted)) % 1.12/1.36 (define @t626 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t625 @t599)) % 1.12/1.36 (define @t627 () (@list @t599 @t625)) % 1.12/1.36 (define @t628 () (@list @t602)) % 1.12/1.36 (define @t629 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t602 @t356)) % 1.12/1.36 (define @t630 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t356 @t602)) % 1.12/1.36 (define @t631 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t120 @t117)) % 1.12/1.36 (define @t632 () (tptp.c_Polynomial_Opos__poly @t27 @t361)) % 1.12/1.36 (define @t633 () (tptp.c_Polynomial_Opos__poly @t27 @t229)) % 1.12/1.36 (define @t634 () (tptp.c_Polynomial_Opos__poly @t27 (tptp.c_Groups_Ominus__class_Ominus @t231 @t54 @t55))) % 1.12/1.36 (define @t635 () (@list @t90 @t27)) % 1.12/1.36 (define @t636 () (@var "V_ya" $$unsorted)) % 1.12/1.36 (define @t637 () (tptp.hAPP @t465 @t636)) % 1.12/1.36 (define @t638 () (tptp.hAPP @t460 @t636)) % 1.12/1.36 (define @t639 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t93 @t90)) % 1.12/1.36 (define @t640 () (tptp.hAPP @t45 @t639)) % 1.12/1.36 (define @t641 () (@list @t636 @t90 @t93 @t27)) % 1.12/1.36 (define @t642 () (@var "V_a_H" $$unsorted)) % 1.12/1.36 (define @t643 () (tptp.hAPP (tptp.hAPP @t45 @t642) @t26)) % 1.12/1.36 (define @t644 () (@list @t26 @t642 @t13 @t27)) % 1.12/1.36 (define @t645 () (@var "V_xa" $$unsorted)) % 1.12/1.36 (define @t646 () (tptp.hAPP @t45 @t645)) % 1.12/1.36 (define @t647 () (tptp.hAPP @t646 @t90)) % 1.12/1.36 (define @t648 () (tptp.hAPP @t646 @t93)) % 1.12/1.36 (define @t649 () (@list @t90 @t93 @t645 @t27)) % 1.12/1.36 (define @t650 () (@var "V_b_H" $$unsorted)) % 1.12/1.36 (define @t651 () (tptp.hAPP @t183 @t650)) % 1.12/1.36 (define @t652 () (@list @t650 @t26 @t13 @t27)) % 1.12/1.36 (define @t653 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t93)) % 1.12/1.36 (define @t654 () (@var "V_t_2" $$unsorted)) % 1.12/1.36 (define @t655 () (tptp.hAPP @t592 @t98)) % 1.12/1.36 (define @t656 () (tptp.hAPP @t655 @t79)) % 1.12/1.36 (define @t657 () (= @t98 @t591)) % 1.12/1.36 (define @t658 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t90)) % 1.12/1.36 (define @t659 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t542 @t654)) % 1.12/1.36 (define @t660 () (@list @t654 @t542)) % 1.12/1.36 (define @t661 () (tptp.c_Nat__Transfer_Otsub @t93 @t90)) % 1.12/1.36 (define @t662 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t90 @t93)) % 1.12/1.36 (define @t663 () (=> @t662 (= @t661 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t93 @t90)))) % 1.12/1.36 (define @t664 () (@list @t93 @t90)) % 1.12/1.36 (define @t665 () (tptp.class_Lattices_Oboolean__algebra @t27)) % 1.12/1.36 (define @t666 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t90)) % 1.12/1.36 (define @t667 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t27)) % 1.12/1.36 (define @t668 () (tptp.hAPP @t460 @t93)) % 1.12/1.36 (define @t669 () (@var "V_B_2" $$unsorted)) % 1.12/1.36 (define @t670 () (@var "V_A_2" $$unsorted)) % 1.12/1.36 (define @t671 () (tptp.hAPP @t670 @t55)) % 1.12/1.36 (define @t672 () (tptp.tc_fun @t366 @t27)) % 1.12/1.36 (define @t673 () (tptp.c_Groups_Osgn__class_Osgn @t231 @t93)) % 1.12/1.36 (define @t674 () (tptp.c_Orderings_Oord__class_Oless @t231 @t232 @t93)) % 1.12/1.36 (define @t675 () (= @t93 @t232)) % 1.12/1.36 (define @t676 () (tptp.hAPP @t655 @t542)) % 1.12/1.36 (define @t677 () (tptp.hBOOL (tptp.hAPP @t163 @t3))) % 1.12/1.36 (define @t678 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t98)) % 1.12/1.36 (define @t679 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t542)) % 1.12/1.36 (define @t680 () (@list @t98 @t163 @t542)) % 1.12/1.36 (define @t681 () (tptp.c_Groups_Osgn__class_Osgn @t27 @t206)) % 1.12/1.36 (define @t682 () (= (tptp.c_Groups_Osgn__class_Osgn @t27 @t35) @t35)) % 1.12/1.36 (define @t683 () (tptp.class_Groups_Osgn__if @t27)) % 1.12/1.36 (define @t684 () (tptp.c_Groups_Osgn__class_Osgn @t27 @t13)) % 1.12/1.36 (define @t685 () (tptp.c_Groups_Osgn__class_Osgn @t27 @t93)) % 1.12/1.36 (define @t686 () (tptp.class_RealVector_Oreal__normed__vector @t27)) % 1.12/1.36 (define @t687 () (tptp.c_Polynomial_Omonom @t27 @t206 @t77)) % 1.12/1.36 (define @t688 () (tptp.c_Polynomial_Omonom @t27 @t13 @t25)) % 1.12/1.36 (define @t689 () (tptp.c_Polynomial_Odegree @t27 @t688)) % 1.12/1.36 (define @t690 () (tptp.c_Polynomial_Omonom @t27 @t26 @t25)) % 1.12/1.36 (define @t691 () (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t93)) % 1.12/1.36 (define @t692 () (= @t93 @t35)) % 1.12/1.36 (define @t693 () (tptp.c_Polynomial_Opoly__rec @t27 @t366 @t599 @t2 @t241)) % 1.12/1.36 (define @t694 () (tptp.hAPP (tptp.hAPP @t2 @t206) @t241)) % 1.12/1.36 (define @t695 () (tptp.c_Polynomial_Opoly__rec @t27 @t366 @t599 @t2 (tptp.c_Polynomial_OpCons @t366 @t206 @t241))) % 1.12/1.36 (define @t696 () (tptp.c_Groups_Ozero__class_Ozero @t367)) % 1.12/1.36 (define @t697 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t366)) @t696) @t599) @t599)) % 1.12/1.36 (define @t698 () (tptp.class_Groups_Ozero @t366)) % 1.12/1.36 (define @t699 () (tptp.c_Polynomial_Osynthetic__div @t27 @t229 @t217)) % 1.12/1.36 (define @t700 () (tptp.c_Polynomial_Odegree @t27 @t241)) % 1.12/1.36 (define @t701 () (tptp.hAPP @t371 @t217)) % 1.12/1.36 (define @t702 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t120)) % 1.12/1.36 (define @t703 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t120)) % 1.12/1.36 (define @t704 () (= @t120 @t591)) % 1.12/1.36 (define @t705 () (tptp.c_Polynomial_Ocoeff @t27 @t229)) % 1.12/1.36 (define @t706 () (tptp.hAPP @t705 @t25)) % 1.12/1.36 (define @t707 () (= @t706 @t35)) % 1.12/1.36 (define @t708 () (@var "V_v" $$unsorted)) % 1.12/1.36 (define @t709 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t708)) % 1.12/1.36 (define @t710 () (tptp.c_Int_Onumber__class_Onumber__of @t366 @t708)) % 1.12/1.36 (define @t711 () (tptp.c_Groups_Otimes__class_Otimes @t366)) % 1.12/1.36 (define @t712 () (tptp.hAPP @t711 @t710)) % 1.12/1.36 (define @t713 () (tptp.hAPP @t712 @t217)) % 1.12/1.36 (define @t714 () (tptp.hAPP @t712 @t26)) % 1.12/1.36 (define @t715 () (tptp.class_Int_Onumber @t366)) % 1.12/1.36 (define @t716 () (and @t715 (tptp.class_Rings_Osemiring @t366))) % 1.12/1.36 (define @t717 () (@list @t217 @t26 @t708 @t366)) % 1.12/1.36 (define @t718 () (tptp.hAPP (tptp.hAPP @t711 @t26) @t710)) % 1.12/1.36 (define @t719 () (tptp.hAPP (tptp.hAPP @t711 @t13) @t710)) % 1.12/1.36 (define @t720 () (@list @t708 @t26 @t13 @t366)) % 1.12/1.36 (define @t721 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t206 @t206)) % 1.12/1.36 (define @t722 () (tptp.hAPP @t377 @t361)) % 1.12/1.37 (define @t723 () (tptp.c_Groups_Oplus__class_Oplus @t231 @t229 @t361)) % 1.12/1.37 (define @t724 () (tptp.hAPP @t329 @t542)) % 1.12/1.37 (define @t725 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t27)) % 1.12/1.37 (define @t726 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 @t26)) % 1.12/1.37 (define @t727 () (tptp.hAPP @t45 @t726)) % 1.12/1.37 (define @t728 () (= (tptp.hAPP @t727 @t217) (tptp.c_Groups_Oplus__class_Oplus @t27 @t352 @t347))) % 1.12/1.37 (define @t729 () (tptp.hAPP @t183 @t43)) % 1.12/1.37 (define @t730 () (tptp.hAPP @t45 @t625)) % 1.12/1.37 (define @t731 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t56 @t206)) % 1.12/1.37 (define @t732 () (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 @t35) @t13)) % 1.12/1.37 (define @t733 () (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t35 @t13) @t13)) % 1.12/1.37 (define @t734 () (@var "V_e" $$unsorted)) % 1.12/1.37 (define @t735 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t93 @t90)) % 1.12/1.37 (define @t736 () (tptp.class_Groups_Ocomm__monoid__add @t27)) % 1.12/1.37 (define @t737 () (tptp.class_Groups_Omonoid__add @t27)) % 1.12/1.37 (define @t738 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t217)) % 1.12/1.37 (define @t739 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t726 @t217)) % 1.12/1.37 (define @t740 () (= @t739 (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 @t738))) % 1.12/1.37 (define @t741 () (= @t56 @t239)) % 1.12/1.37 (define @t742 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t206 @t239)) % 1.12/1.37 (define @t743 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t206 @t56)) % 1.12/1.37 (define @t744 () (tptp.class_Groups_Ocancel__semigroup__add @t27)) % 1.12/1.37 (define @t745 () (@list @t239 @t56 @t206 @t27)) % 1.12/1.37 (define @t746 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t239 @t206)) % 1.12/1.37 (define @t747 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 @t217)) % 1.12/1.37 (define @t748 () (=> (= @t726 @t747) @t494)) % 1.12/1.37 (define @t749 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t217 @t13)) % 1.12/1.37 (define @t750 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t13)) % 1.12/1.37 (define @t751 () (@var "B_n" $$unsorted)) % 1.12/1.37 (define @t752 () (tptp.c_Polynomial_Ocoeff @t27 @t241)) % 1.12/1.37 (define @t753 () (@list @t751)) % 1.12/1.37 (define @t754 () (tptp.c_Polynomial_Ocoeff @t27 @t361)) % 1.12/1.37 (define @t755 () (tptp.hAPP @t754 @t25)) % 1.12/1.37 (define @t756 () (@list @t25 @t361 @t229 @t27)) % 1.12/1.37 (define @t757 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t217 @t350)) % 1.12/1.37 (define @t758 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 @t757)) % 1.12/1.37 (define @t759 () (@list @t350 @t217 @t13 @t27)) % 1.12/1.37 (define @t760 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t350)) % 1.12/1.37 (define @t761 () (tptp.c_Int_Onumber__class_Onumber__of @t27 @t602)) % 1.12/1.37 (define @t762 () (tptp.c_Int_Onumber__class_Onumber__of @t27 @t708)) % 1.12/1.37 (define @t763 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t762 @t761)) % 1.12/1.37 (define @t764 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t708 @t602)) % 1.12/1.37 (define @t765 () (tptp.c_Int_Onumber__class_Onumber__of @t27 @t764)) % 1.12/1.37 (define @t766 () (tptp.class_Int_Onumber__ring @t27)) % 1.12/1.37 (define @t767 () (@list @t602 @t708 @t27)) % 1.12/1.37 (define @t768 () (tptp.c_Int_Onumber__class_Onumber__of @t27 @t625)) % 1.12/1.37 (define @t769 () (tptp.class_Int_Onumber @t27)) % 1.12/1.37 (define @t770 () (tptp.c_Int_Onumber__class_Onumber__of @t27 @t54)) % 1.12/1.37 (define @t771 () (tptp.c_Int_Onumber__class_Onumber__of @t27 @t55)) % 1.12/1.37 (define @t772 () (@list @t356 @t602 @t708 @t27)) % 1.12/1.37 (define @t773 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t56 @t239)) % 1.12/1.37 (define @t774 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t27)) % 1.12/1.37 (define @t775 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t239 @t56)) % 1.12/1.37 (define @t776 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t747 @t738)) % 1.12/1.37 (define @t777 () (tptp.class_Groups_Oordered__ab__semigroup__add @t27)) % 1.12/1.37 (define @t778 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t217 @t26)) % 1.12/1.37 (define @t779 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t749 @t778)) % 1.12/1.37 (define @t780 () (tptp.c_Orderings_Oord__class_Oless @t27 @t747 @t738)) % 1.12/1.37 (define @t781 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t27)) % 1.12/1.37 (define @t782 () (tptp.c_Orderings_Oord__class_Oless @t27 @t749 @t778)) % 1.12/1.37 (define @t783 () (tptp.c_Orderings_Oord__class_Oless @t27 @t747 @t760)) % 1.12/1.37 (define @t784 () (=> @t453 @t783)) % 1.12/1.37 (define @t785 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t602)) % 1.12/1.37 (define @t786 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t708 @t785)) % 1.12/1.37 (define @t787 () (tptp.c_Int_Onumber__class_Onumber__of @t27 @t786)) % 1.12/1.37 (define @t788 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t726)) % 1.12/1.37 (define @t789 () (@var "V_v_2" $$unsorted)) % 1.12/1.37 (define @t790 () (tptp.c_Int_Onumber__class_Onumber__of @t27 @t789)) % 1.12/1.37 (define @t791 () (and @t715 (tptp.class_Rings_Oring @t366))) % 1.12/1.37 (define @t792 () (and @t766 @t311)) % 1.12/1.37 (define @t793 () (tptp.class_Groups_Oordered__comm__monoid__add @t27)) % 1.12/1.37 (define @t794 () (= @t54 @t35)) % 1.12/1.37 (define @t795 () (and @t541 @t794)) % 1.12/1.37 (define @t796 () (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t55 @t54) @t35)) % 1.12/1.37 (define @t797 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t26 @t747)) % 1.12/1.37 (define @t798 () (@list @t13 @t26 @t217 @t27)) % 1.12/1.37 (define @t799 () (= (tptp.c_Orderings_Oord__class_Oless @t27 @t721 @t35) @t434)) % 1.12/1.37 (define @t800 () (tptp.c_Orderings_Oord__class_Oless @t27 @t26 @t747)) % 1.12/1.37 (define @t801 () (=> @t583 @t800)) % 1.12/1.37 (define @t802 () (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t726)) % 1.12/1.37 (define @t803 () (=> @t421 @t802)) % 1.12/1.37 (define @t804 () (tptp.c_Orderings_Oord__class_Oless @t27 @t726 @t35)) % 1.12/1.37 (define @t805 () (=> @t424 @t804)) % 1.12/1.37 (define @t806 () (tptp.hAPP @t45 @t305)) % 1.12/1.37 (define @t807 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t442 (tptp.hAPP (tptp.hAPP @t45 @t54) @t54))) % 1.12/1.37 (define @t808 () (tptp.hAPP (tptp.hAPP @t592 @t708) @t602)) % 1.12/1.37 (define @t809 () (tptp.c_Int_Onumber__class_Onumber__of @t27 @t808)) % 1.12/1.37 (define @t810 () (tptp.hAPP @t45 @t762)) % 1.12/1.37 (define @t811 () (tptp.hAPP @t810 @t761)) % 1.12/1.37 (define @t812 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 @t50)) % 1.12/1.37 (define @t813 () (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t224 @t13) @t35)) % 1.12/1.37 (define @t814 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t50 @t50)) % 1.12/1.37 (define @t815 () (tptp.hAPP (tptp.hAPP @t45 @t812) @t43)) % 1.12/1.37 (define @t816 () (tptp.hAPP @t45 (tptp.c_Groups_Ominus__class_Ominus @t27 @t93 @t13))) % 1.12/1.37 (define @t817 () (tptp.hAPP @t816 @t26)) % 1.12/1.37 (define @t818 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t90 @t26)) % 1.12/1.37 (define @t819 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t461 @t184)) % 1.12/1.37 (define @t820 () (@list @t26 @t13 @t90 @t93 @t27)) % 1.12/1.37 (define @t821 () (@var "V_e_2" $$unsorted)) % 1.12/1.37 (define @t822 () (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Groups_Ominus__class_Ominus @t27 @t56 @t206)) @t821) @t542)) % 1.12/1.37 (define @t823 () (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t344 @t821) @t542)) % 1.12/1.37 (define @t824 () (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t329 @t821) @t239)) % 1.12/1.37 (define @t825 () (= @t824 @t823)) % 1.12/1.37 (define @t826 () (@list @t542 @t56 @t239 @t821 @t206 @t27)) % 1.12/1.37 (define @t827 () (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP (tptp.hAPP @t45 @t544) @t821) @t239)) % 1.12/1.37 (define @t828 () (= @t363 (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 @t336))) % 1.12/1.37 (define @t829 () (tptp.c_Groups_Ominus__class_Ominus @t27 @t762 @t761)) % 1.12/1.37 (define @t830 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t761)) % 1.12/1.37 (define @t831 () (tptp.c_Int_Onumber__class_Onumber__of @t27 @t785)) % 1.12/1.37 (define @t832 () (@list @t602 @t27)) % 1.12/1.37 (define @t833 () (tptp.c_Polynomial_Ocoeff @t27 @t298)) % 1.12/1.37 (define @t834 () (tptp.c_Polynomial_Odegree @t27 @t723)) % 1.12/1.37 (define @t835 () (tptp.c_Polynomial_Omonom @t27 @t13 @t43)) % 1.12/1.37 (define @t836 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t27 @t835) @t25)) % 1.12/1.37 (define @t837 () (tptp.hAPP @t754 @t467)) % 1.12/1.37 (define @t838 () (tptp.hAPP @t705 @t264)) % 1.12/1.37 (define @t839 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t668 (tptp.hAPP @t465 @t90))) % 1.12/1.37 (define @t840 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t824 @t823)) % 1.12/1.37 (define @t841 () (tptp.c_Orderings_Oord__class_Oless @t27 @t824 @t823)) % 1.12/1.37 (define @t842 () (@var "V_D_2" $$unsorted)) % 1.12/1.37 (define @t843 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t625)) % 1.12/1.37 (define @t844 () (= @t843 @t7)) % 1.12/1.37 (define @t845 () (tptp.hAPP @t752 @t700)) % 1.12/1.37 (define @t846 () (@var "V_u" $$unsorted)) % 1.12/1.37 (define @t847 () (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP (tptp.hAPP @t45 @t846) @t93) (tptp.hAPP (tptp.hAPP @t45 @t708) @t90))) % 1.12/1.37 (define @t848 () (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t846 @t708) @t50)) % 1.12/1.37 (define @t849 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t708)) % 1.12/1.37 (define @t850 () (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t846)) % 1.12/1.37 (define @t851 () (@list @t708 @t846 @t90 @t13 @t93 @t27)) % 1.12/1.37 (define @t852 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t602)) % 1.12/1.37 (define @t853 () (tptp.hAPP @t219 @t852)) % 1.12/1.37 (define @t854 () (= @t852 @t7)) % 1.12/1.37 (define @t855 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t27 @t368) @t25)) % 1.12/1.37 (define @t856 () (@var "V_ra_2" $$unsorted)) % 1.12/1.37 (define @t857 () (= @t856 @t232)) % 1.12/1.37 (define @t858 () (= @t54 @t232)) % 1.12/1.37 (define @t859 () (= @t317 @t232)) % 1.12/1.37 (define @t860 () (tptp.class_Fields_Ofield @t27)) % 1.12/1.37 (define @t861 () (@var "B_i" $$unsorted)) % 1.12/1.37 (define @t862 () (@list @t861)) % 1.12/1.37 (define @t863 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t611 @t609)) % 1.12/1.37 (define @t864 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t602)) % 1.12/1.37 (define @t865 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t708)) % 1.12/1.37 (define @t866 () (@list @t602 @t708)) % 1.12/1.37 (define @t867 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t79 @t77)) % 1.12/1.37 (define @t868 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t25)) % 1.12/1.37 (define @t869 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t120 @t117)) % 1.12/1.37 (define @t870 () (tptp.hAPP @t118 @t846)) % 1.12/1.37 (define @t871 () (tptp.hAPP @t121 @t846)) % 1.12/1.37 (define @t872 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t77 @t98)) % 1.12/1.37 (define @t873 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t251)) % 1.12/1.37 (define @t874 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t252 @t25)) % 1.12/1.37 (define @t875 () (tptp.c_Nat_OSuc @t868)) % 1.12/1.37 (define @t876 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t602 @t356)) % 1.12/1.37 (define @t877 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t356 @t602)) % 1.12/1.37 (define @t878 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t119)) % 1.12/1.37 (define @t879 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t878 @t25)) % 1.12/1.37 (define @t880 () (@list @t25 @t119 @t43)) % 1.12/1.37 (define @t881 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t117 @t116)) % 1.12/1.37 (define @t882 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t120 @t119)) % 1.12/1.37 (define @t883 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t117 @t119)) % 1.12/1.37 (define @t884 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t117)) % 1.12/1.37 (define @t885 () (@list @t43 @t117 @t120)) % 1.12/1.37 (define @t886 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t117 @t43)) % 1.12/1.37 (define @t887 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t77)) % 1.12/1.37 (define @t888 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t79)) % 1.12/1.37 (define @t889 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t79 @t244)) % 1.12/1.37 (define @t890 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t43)) % 1.12/1.37 (define @t891 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t90 @t356)) % 1.12/1.37 (define @t892 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t93 @t891)) % 1.12/1.37 (define @t893 () (@list @t90 @t356 @t93)) % 1.12/1.37 (define @t894 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t891)) % 1.12/1.37 (define @t895 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t119 @t25)) % 1.12/1.37 (define @t896 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119 @t116)) % 1.12/1.37 (define @t897 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t117 @t120)) % 1.12/1.37 (define @t898 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t606)) % 1.12/1.37 (define @t899 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t98)) % 1.12/1.37 (define @t900 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t119)) % 1.12/1.37 (define @t901 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t119 @t43)) % 1.12/1.37 (define @t902 () (@var "V_r2" $$unsorted)) % 1.12/1.37 (define @t903 () (@var "V_r1" $$unsorted)) % 1.12/1.37 (define @t904 () (= @t903 @t902)) % 1.12/1.37 (define @t905 () (@var "V_q2" $$unsorted)) % 1.12/1.37 (define @t906 () (@var "V_q1" $$unsorted)) % 1.12/1.37 (define @t907 () (= @t906 @t905)) % 1.12/1.37 (define @t908 () (tptp.c_Polynomial_Opdivmod__rel @t27 @t93 @t90 @t905 @t902)) % 1.12/1.37 (define @t909 () (tptp.c_Polynomial_Opdivmod__rel @t27 @t93 @t90 @t906 @t903)) % 1.12/1.37 (define @t910 () (@list @t902 @t905 @t903 @t906 @t90 @t93 @t27)) % 1.12/1.37 (define @t911 () (= (tptp.hAPP (tptp.hAPP @t45 @t533) @t511) (tptp.hAPP @t94 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t229 @t361)))) % 1.12/1.37 (define @t912 () (forall @t534 (=> @t97 @t911))) % 1.12/1.37 (define @t913 () (or (and @t260 @t111) (and @t112 @t269))) % 1.12/1.37 (define @t914 () (@list @t43 @t120)) % 1.12/1.37 (define @t915 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t597 @t356)) % 1.12/1.37 (define @t916 () (@var "V_z_H" $$unsorted)) % 1.12/1.37 (define @t917 () (@var "V_w_H" $$unsorted)) % 1.12/1.37 (define @t918 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t625 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t599 @t597))) % 1.12/1.37 (define @t919 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t134)) % 1.12/1.37 (define @t920 () (= @t919 @t43)) % 1.12/1.37 (define @t921 () (@var "V_j_2" $$unsorted)) % 1.12/1.37 (define @t922 () (@var "V_i_2" $$unsorted)) % 1.12/1.37 (define @t923 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t922 @t98)) % 1.12/1.37 (define @t924 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t921 @t98)) % 1.12/1.37 (define @t925 () (@list @t98 @t921 @t922)) % 1.12/1.37 (define @t926 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t117 @t119)) % 1.12/1.37 (define @t927 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t926 @t120)) % 1.12/1.37 (define @t928 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t897 @t119)) % 1.12/1.37 (define @t929 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t119 @t117)) % 1.12/1.37 (define @t930 () (@list @t120 @t117 @t119)) % 1.12/1.37 (define @t931 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t120 @t926)) % 1.12/1.37 (define @t932 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t869 @t119)) % 1.12/1.37 (define @t933 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t921 @t922)) % 1.12/1.37 (define @t934 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t922 @t921)) % 1.12/1.37 (define @t935 () (=> @t139 @t920)) % 1.12/1.37 (define @t936 () (forall @t171 @t935)) % 1.12/1.37 (define @t937 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t356 @t785)) % 1.12/1.37 (define @t938 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t356 @t602)) % 1.12/1.37 (define @t939 () (@var "B_d" $$unsorted)) % 1.12/1.37 (define @t940 () (tptp.hBOOL (tptp.hAPP @t163 @t939))) % 1.12/1.37 (define @t941 () (= @t206 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t56 @t939))) % 1.12/1.37 (define @t942 () (@list @t939)) % 1.12/1.37 (define @t943 () (tptp.hBOOL (tptp.hAPP @t163 @t7))) % 1.12/1.37 (define @t944 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t206 @t56)) % 1.12/1.37 (define @t945 () (tptp.hBOOL (tptp.hAPP @t163 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t206 @t56)))) % 1.12/1.37 (define @t946 () (@list @t56 @t206 @t163)) % 1.12/1.37 (define @t947 () (tptp.c_Nat_OSuc @t117)) % 1.12/1.37 (define @t948 () (tptp.c_Nat_OSuc @t926)) % 1.12/1.37 (define @t949 () (@list @t43 @t117 @t119)) % 1.12/1.37 (define @t950 () (@var "V_u_2" $$unsorted)) % 1.12/1.37 (define @t951 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t76 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t922 @t921)) @t950) @t79)) % 1.12/1.37 (define @t952 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t76 @t921) @t950) @t77)) % 1.12/1.37 (define @t953 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t76 @t922) @t950) @t79)) % 1.12/1.37 (define @t954 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t953 @t952)) % 1.12/1.37 (define @t955 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t921 @t922)) % 1.12/1.37 (define @t956 () (@list @t77 @t79 @t950 @t922 @t921)) % 1.12/1.37 (define @t957 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t871 @t43) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t870 @t25))) % 1.12/1.37 (define @t958 () (= @t953 @t952)) % 1.12/1.37 (define @t959 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t76 @t933) @t950) @t77)) % 1.12/1.37 (define @t960 () (@list @t77 @t79 @t950 @t921 @t922)) % 1.12/1.37 (define @t961 () (@var "V_r_H" $$unsorted)) % 1.12/1.37 (define @t962 () (tptp.hAPP @t377 @t90)) % 1.12/1.37 (define @t963 () (@var "V_q_H" $$unsorted)) % 1.12/1.37 (define @t964 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t264 @t467)) % 1.12/1.37 (define @t965 () (tptp.c_Polynomial_Odegree @t27 @t445)) % 1.12/1.37 (define @t966 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t953 @t952)) % 1.12/1.37 (define @t967 () (= @t13 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t305 (tptp.hAPP (tptp.hAPP @t592 @t13) @t361)))) % 1.12/1.37 (define @t968 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t13)) % 1.12/1.37 (define @t969 () (@list @t361 @t305 @t13)) % 1.12/1.37 (define @t970 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t305)) % 1.12/1.37 (define @t971 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t650)) % 1.12/1.37 (define @t972 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t961 @t650)) % 1.12/1.37 (define @t973 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t592 @t650) @t963) @t961)) % 1.12/1.37 (define @t974 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t973)) % 1.12/1.37 (define @t975 () (@list @t961 @t963 @t650)) % 1.12/1.37 (define @t976 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t961)) % 1.12/1.37 (define @t977 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t973 @t591)) % 1.12/1.37 (define @t978 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t963 @t361)) % 1.12/1.37 (define @t979 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t305 @t26)) % 1.12/1.37 (define @t980 () (tptp.hAPP @t592 @t26)) % 1.12/1.37 (define @t981 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t980 @t361) @t305)) % 1.12/1.37 (define @t982 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t980 @t963) @t961) @t981)) % 1.12/1.37 (define @t983 () (@list @t305 @t361 @t961 @t963 @t26)) % 1.12/1.37 (define @t984 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t361 @t963)) % 1.12/1.37 (define @t985 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t650 @t26)) % 1.12/1.37 (define @t986 () (= @t981 @t973)) % 1.12/1.37 (define @t987 () (@list @t961 @t963 @t650 @t305 @t361 @t26)) % 1.12/1.37 (define @t988 () (tptp.hAPP @t530 @t119)) % 1.12/1.37 (define @t989 () (tptp.class_Divides_Osemiring__div @t27)) % 1.12/1.37 (define @t990 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t922 @t98)) % 1.12/1.37 (define @t991 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t206)) % 1.12/1.37 (define @t992 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t206 @t56)) % 1.12/1.37 (define @t993 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t992)) % 1.12/1.37 (define @t994 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t56)) % 1.12/1.37 (define @t995 () (@list @t206 @t56)) % 1.12/1.37 (define @t996 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t98)) % 1.12/1.37 (define @t997 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 @t650)) % 1.12/1.37 (define @t998 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 @t26)) % 1.12/1.37 (define @t999 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t13)) % 1.12/1.37 (define @t1000 () (@list @t26 @t650 @t13)) % 1.12/1.37 (define @t1001 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t998 @t591)) % 1.12/1.37 (define @t1002 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t26 @t591)) % 1.12/1.37 (define @t1003 () (= @t998 @t591)) % 1.12/1.37 (define @t1004 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t56 @t591)) % 1.12/1.37 (define @t1005 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t26)) % 1.12/1.37 (define @t1006 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t13 @t591)) % 1.12/1.37 (define @t1007 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t13 @t591)) % 1.12/1.37 (define @t1008 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t642 @t26)) % 1.12/1.37 (define @t1009 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t13 @t642)) % 1.12/1.37 (define @t1010 () (@list @t26 @t642 @t13)) % 1.12/1.37 (define @t1011 () (tptp.c_Divides_Odiv__class_Odiv @t27 @t13 @t26)) % 1.12/1.37 (define @t1012 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t217 @t1011)) % 1.12/1.37 (define @t1013 () (tptp.c_Groups_Oplus__class_Oplus @t27 @t1011 @t50)) % 1.12/1.37 (define @t1014 () (tptp.c_Divides_Odiv__class_Odiv @t27 @t399 @t398)) % 1.12/1.37 (define @t1015 () (= @t217 @t35)) % 1.12/1.37 (define @t1016 () (not @t1015)) % 1.12/1.37 (define @t1017 () (=> @t1016 (= @t1014 @t1011))) % 1.12/1.37 (define @t1018 () (tptp.c_Divides_Odiv__class_Odiv @t27 @t26 @t13)) % 1.12/1.37 (define @t1019 () (tptp.hAPP @t45 @t1018)) % 1.12/1.37 (define @t1020 () (tptp.c_Divides_Odiv__class_Odiv @t27 @t93 @t90)) % 1.12/1.37 (define @t1021 () (tptp.c_Rings_Odvd__class_Odvd @t27 @t90 @t93)) % 1.12/1.37 (define @t1022 () (tptp.c_Divides_Odiv__class_Odiv @t27 @t56 @t206)) % 1.12/1.37 (define @t1023 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t992 @t591)) % 1.12/1.37 (define @t1024 () (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t1020)) % 1.12/1.37 (define @t1025 () (tptp.class_Divides_Oring__div @t27)) % 1.12/1.37 (define @t1026 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t26)) % 1.12/1.37 (define @t1027 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t13)) % 1.12/1.37 (define @t1028 () (not @t207)) % 1.12/1.37 (define @t1029 () (tptp.hBOOL (tptp.hAPP @t163 @t861))) % 1.12/1.37 (define @t1030 () (= @t77 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t655 @t861) @t293))) % 1.12/1.37 (define @t1031 () (@var "V_b_1" $$unsorted)) % 1.12/1.37 (define @t1032 () (@var "V_a_1" $$unsorted)) % 1.12/1.37 (define @t1033 () (@var "V_r_1" $$unsorted)) % 1.12/1.37 (define @t1034 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t1031)) % 1.12/1.37 (define @t1035 () (tptp.c_SMT_Oz3div @t119 @t116)) % 1.12/1.37 (define @t1036 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t116)) % 1.12/1.37 (define @t1037 () (@var "T_1" $$unsorted)) % 1.12/1.37 (define @t1038 () (tptp.tc_Polynomial_Opoly @t1037)) % 1.12/1.37 (define @t1039 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1037)) % 1.12/1.37 (define @t1040 () (@list @t1037)) % 1.12/1.37 (define @t1041 () (@var "T_2" $$unsorted)) % 1.12/1.37 (define @t1042 () (tptp.tc_fun @t1041 @t1037)) % 1.12/1.37 (define @t1043 () (@list @t1041 @t1037)) % 1.12/1.37 (define @t1044 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (define @t1045 () (tptp.class_Rings_Oidom @t1037)) % 1.12/1.37 (define @t1046 () (tptp.class_Rings_Olinordered__idom @t1037)) % 1.12/1.37 (define @t1047 () (tptp.class_Rings_Ocomm__semiring__0 @t1037)) % 1.12/1.37 (define @t1048 () (tptp.class_Rings_Ocomm__semiring__1 @t1037)) % 1.12/1.37 (define @t1049 () (tptp.class_Groups_Ocomm__monoid__add @t1037)) % 1.12/1.37 (define @t1050 () (tptp.class_Rings_Ocomm__semiring__1 @t1038)) % 1.12/1.37 (define @t1051 () (forall @t1040 (=> @t1048 @t1050))) % 1.12/1.37 (define @t1052 () (tptp.class_Fields_Ofield @t1037)) % 1.12/1.37 (define @t1053 () (tptp.class_Groups_Oab__group__add @t1037)) % 1.12/1.37 (define @t1054 () (tptp.class_Rings_Ocomm__ring__1 @t1037)) % 1.12/1.37 (define @t1055 () (tptp.class_Rings_Ocomm__ring @t1037)) % 1.12/1.37 (define @t1056 () (tptp.hBOOL (tptp.c_fequal @t55 @t54))) % 1.12/1.37 (define @t1057 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat tptp.v_na____ @t11)) % 1.12/1.37 (define @t1058 () (tptp.hAPP @t21 (tptp.hAPP @t18 @t1057))) % 1.12/1.37 (define @t1059 () (tptp.hAPP @t18 tptp.v_na____)) % 1.12/1.37 (define @t1060 () (= @t1059 @t1058)) % 1.12/1.37 (define @t1061 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 tptp.v_na____)) % 1.12/1.37 (define @t1062 () (and (= tptp.v_r____ @t9) @t1061)) % 1.12/1.37 (define @t1063 () (or @t1062 @t1060)) % 1.12/1.37 (define @t1064 () (not @t1063)) % 1.12/1.37 (define @t1065 () (= @t43 @t919)) % 1.12/1.37 (define @t1066 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t11 @t1057)) % 1.12/1.37 (define @t1067 () (= tptp.v_na____ @t1066)) % 1.12/1.37 (define @t1068 () (not @t15)) % 1.12/1.37 (define @t1069 () (or @t1068 @t1067)) % 1.12/1.37 (define @t1070 () (@list false false)) % 1.12/1.37 (define @t1071 () (tptp.class_Rings_Ocomm__semiring__1 @t8)) % 1.12/1.37 (define @t1072 () (not @t1044)) % 1.12/1.37 (define @t1073 () (or @t1072 @t1071)) % 1.12/1.37 (define @t1074 () (= @t1058 (tptp.hAPP @t18 @t1066))) % 1.12/1.37 (define @t1075 () (not @t1071)) % 1.12/1.37 (define @t1076 () (or @t1075 @t1074)) % 1.12/1.37 (define @t1077 () (and @t1074 @t1067)) % 1.12/1.37 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.12/1.37 (assume @p2 (not (= tptp.v_n @t7))) % 1.12/1.37 (assume @p3 (not (= tptp.v_na____ @t7))) % 1.12/1.37 (assume @p4 (not @t10)) % 1.12/1.37 (assume @p5 (not (= @t11 @t7))) % 1.12/1.37 (assume @p6 (not (= tptp.v_pa____ @t9))) % 1.12/1.37 (assume @p7 (not (= tptp.v_k____ @t12))) % 1.12/1.37 (assume @p8 (forall @t14 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Oorder tptp.tc_Complex_Ocomplex @t13 tptp.v_pa____) tptp.v_na____))) % 1.12/1.37 (assume @p9 (= tptp.v_s____ (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_k____ @t9))) % 1.12/1.37 (assume @p10 @t15) % 1.12/1.37 (assume @p11 (= tptp.v_pa____ (tptp.hAPP @t21 tptp.v_s____))) % 1.12/1.37 (assume @p12 (= tptp.v_qa____ (tptp.hAPP @t22 tptp.v_r____))) % 1.12/1.37 (assume @p13 (= (tptp.hAPP @t23 tptp.v_a____) @t12)) % 1.12/1.37 (assume @p14 (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_pa____) tptp.v_na____)) % 1.12/1.37 (assume @p15 (not (forall (@list @t24) (not (= tptp.v_pa____ (tptp.hAPP @t21 @t24)))))) % 1.12/1.37 (assume @p16 (not (= tptp.v_s____ @t9))) % 1.12/1.37 (assume @p17 (tptp.c_Rings_Odvd__class_Odvd @t8 @t19 tptp.v_pa____)) % 1.12/1.37 (assume @p18 (forall @t39 (=> @t38 (=> @t37 (=> @t36 (=> @t34 @t33)))))) % 1.12/1.37 (assume @p19 (forall @t40 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7 @t25))) % 1.12/1.37 (assume @p20 (forall @t40 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t7)))) % 1.12/1.37 (assume @p21 (forall (@list @t43 @t25 @t27) (=> @t51 (and (=> @t48 (= @t47 @t50)) (=> @t49 (= @t47 (tptp.hAPP @t46 (tptp.hAPP @t44 @t42)))))))) % 1.12/1.37 (assume @p22 (forall @t53 (=> @t38 (=> @t52 (=> @t34 (tptp.c_Orderings_Oord__class_Oless @t27 @t50 @t32)))))) % 1.12/1.37 (assume @p23 (forall @t61 (=> @t38 (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t59 @t58) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t55 @t54)))))) % 1.12/1.37 (assume @p24 (forall @t64 (=> @t38 (=> @t52 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t63 @t32) @t62))))) % 1.12/1.37 (assume @p25 (forall @t68 (=> @t38 (=> @t67 (=> @t36 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t13 @t50) (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t66 @t32))))))) % 1.12/1.37 (assume @p26 (forall @t71 (=> @t38 (=> (= @t32 @t30) (=> @t36 (=> @t70 (=> @t34 @t69))))))) % 1.12/1.37 (assume @p27 (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_s____) @t7)) % 1.12/1.37 (assume @p28 (forall @t6 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p) @t3) @t12) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q) @t3) @t12)))) % 1.12/1.37 (assume @p29 (forall @t6 (=> (= (tptp.hAPP @t23 @t3) @t12) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_qa____) @t3) @t12)))) % 1.12/1.37 (assume @p30 (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_p) tptp.v_n)) % 1.12/1.37 (assume @p31 (tptp.c_Rings_Odvd__class_Odvd @t8 @t16 tptp.v_qa____)) % 1.12/1.37 (assume @p32 (=> @t10 (tptp.c_Rings_Odvd__class_Odvd @t8 tptp.v_pa____ (tptp.hAPP (tptp.hAPP @t17 tptp.v_qa____) tptp.v_na____)))) % 1.12/1.37 (assume @p33 (forall @t75 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t72 tptp.v_na____) (forall (@list @t74 @t73) (=> (forall @t6 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t74) @t3) @t12) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t73) @t3) @t12))) (=> (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t74) @t72) (=> (not (= @t72 @t7)) (tptp.c_Rings_Odvd__class_Odvd @t8 @t74 (tptp.hAPP (tptp.hAPP @t17 @t73) @t72))))))))) % 1.12/1.37 (assume @p34 (forall @t40 (= (tptp.hAPP (tptp.hAPP @t76 @t41) @t25) @t25))) % 1.12/1.37 (assume @p35 (forall @t84 (= (= @t41 @t83) @t81))) % 1.12/1.37 (assume @p36 (forall @t40 (= (tptp.hAPP @t85 @t41) @t25))) % 1.12/1.37 (assume @p37 (forall @t84 (= (= @t83 @t41) @t81))) % 1.12/1.37 (assume @p38 (forall @t89 (=> (= @t43 @t88) (or (= @t25 @t41) @t86)))) % 1.12/1.37 (assume @p39 (forall (@list @t25 @t90 @t93 @t27) (=> @t97 (=> @t96 (tptp.c_Rings_Odvd__class_Odvd @t27 @t95 @t92))))) % 1.12/1.37 (assume @p40 (forall @t105 (= (= @t104 @t103) @t101))) % 1.12/1.37 (assume @p41 (forall @t110 (= @t109 @t101))) % 1.12/1.37 (assume @p42 (forall @t84 (= (= @t83 @t7) (or @t112 @t111)))) % 1.12/1.37 (assume @p43 (forall @t113 (= (tptp.hAPP @t87 @t7) @t7))) % 1.12/1.37 (assume @p44 (forall @t40 (= (tptp.hAPP (tptp.hAPP @t76 @t7) @t25) @t7))) % 1.12/1.37 (assume @p45 (forall @t64 (=> @t114 (= (tptp.hAPP @t31 @t88) (tptp.hAPP (tptp.hAPP @t28 @t63) @t25))))) % 1.12/1.37 (assume @p46 (forall @t115 (=> @t114 (= (tptp.hAPP @t31 @t41) @t13)))) % 1.12/1.37 (assume @p47 (forall @t125 (=> @t124 (=> @t123 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t122 (tptp.hAPP @t118 @t116)))))) % 1.12/1.37 (assume @p48 (forall @t129 (=> @t124 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t128 @t127)))) % 1.12/1.37 (assume @p49 (forall @t129 (=> @t124 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t122 @t130)))) % 1.12/1.37 (assume @p50 (forall @t113 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 (tptp.hAPP @t87 @t131)))) % 1.12/1.37 (assume @p51 (forall @t113 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 @t131))) % 1.12/1.37 (assume @p52 (forall @t135 (= (tptp.hAPP (tptp.hAPP @t76 @t134) @t119) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t133 @t132)))) % 1.12/1.37 (assume @p53 (forall @t138 (= (tptp.hAPP @t126 @t134) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t137 @t136)))) % 1.12/1.37 (assume @p54 (forall (@list @t43 @t26 @t25 @t13 @t27) (=> @t97 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t32 @t26) (=> @t62 (tptp.c_Rings_Odvd__class_Odvd @t27 @t63 @t26)))))) % 1.12/1.37 (assume @p55 (forall (@list @t43 @t25 @t90 @t93 @t27) (=> @t97 (=> @t96 (=> @t139 (tptp.c_Rings_Odvd__class_Odvd @t27 @t95 (tptp.hAPP @t91 @t43))))))) % 1.12/1.37 (assume @p56 (forall @t140 (=> @t97 (=> @t62 (tptp.c_Rings_Odvd__class_Odvd @t27 @t63 @t32))))) % 1.12/1.37 (assume @p57 (forall @t146 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t120) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t144) @t141)))) % 1.12/1.37 (assume @p58 (forall @t150 (= @t149 (or @t147 @t111)))) % 1.12/1.37 (assume @p59 (forall @t129 (=> @t152 (=> @t151 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t128 @t127))))) % 1.12/1.37 (assume @p60 (forall @t129 (=> @t152 (=> @t151 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t122 @t130))))) % 1.12/1.37 (assume @p61 (forall @t105 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t104 @t103) @t155))) % 1.12/1.37 (assume @p62 (forall @t110 (= @t156 @t155))) % 1.12/1.37 (assume @p63 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t83) (and @t158 @t157)))) % 1.12/1.37 (assume @p64 (forall @t105 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t104 @t103) @t160))) % 1.12/1.37 (assume @p65 (forall @t110 (= @t161 @t160))) % 1.12/1.37 (assume @p66 (forall @t162 (=> @t97 (=> (or @t34 (= @t93 @t50)) (tptp.c_Rings_Odvd__class_Odvd @t27 @t93 @t95))))) % 1.12/1.37 (assume @p67 (forall (@list @t163 @t77 @t79) (=> (=> @t153 @t164) (=> (=> @t100 @t164) (=> (=> @t165 @t164) @t164))))) % 1.12/1.37 (assume @p68 (forall (@list @t166 @t167) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t167 @t166) (not (= @t167 @t166))))) % 1.12/1.37 (assume @p69 (forall @t171 (=> @t170 @t169))) % 1.12/1.37 (assume @p70 (forall @t40 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t25)))) % 1.12/1.37 (assume @p71 (forall @t175 (=> @t174 (=> (not @t172) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t90 @t93))))) % 1.12/1.37 (assume @p72 (forall @t84 (= @t176 (or @t153 @t165)))) % 1.12/1.37 (assume @p73 (forall @t89 (=> @t62 (=> @t139 @t168)))) % 1.12/1.37 (assume @p74 (forall @t129 (=> @t124 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t117 @t119) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t120 @t119))))) % 1.12/1.37 (assume @p75 (forall @t89 (=> @t168 @t62))) % 1.12/1.37 (assume @p76 (forall @t89 (or @t62 @t139))) % 1.12/1.37 (assume @p77 (forall @t40 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t25))) % 1.12/1.37 (assume @p78 (forall @t129 (= @t178 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t120 @t119) @t117)))) % 1.12/1.37 (assume @p79 (forall @t53 (=> @t181 (=> @t180 (not (= @t32 @t35)))))) % 1.12/1.37 (assume @p80 (forall @t39 (=> @t185 (= (tptp.hAPP (tptp.hAPP @t28 @t184) @t25) (tptp.hAPP @t182 @t30))))) % 1.12/1.37 (assume @p81 (forall @t53 (=> @t114 (= @t187 @t186)))) % 1.12/1.37 (assume @p82 (forall @t188 (=> @t114 (= (tptp.hAPP (tptp.hAPP @t28 @t50) @t25) @t50)))) % 1.12/1.37 (assume @p83 (forall @t40 (=> @t49 @t34))) % 1.12/1.37 (assume @p84 (forall @t89 (=> @t141 @t49))) % 1.12/1.37 (assume @p85 (forall @t190 (= @t189 @t157))) % 1.12/1.37 (assume @p86 (forall @t190 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t77 @t7) @t111))) % 1.12/1.37 (assume @p87 (forall @t89 (=> (or @t141 @t168) @t62))) % 1.12/1.37 (assume @p88 (forall @t89 (=> @t62 (=> @t169 @t141)))) % 1.12/1.37 (assume @p89 (forall @t89 (=> @t141 @t62))) % 1.12/1.37 (assume @p90 (forall @t84 (= @t159 @t191))) % 1.12/1.37 (assume @p91 (forall @t84 (= @t153 (and @t159 @t176)))) % 1.12/1.37 (assume @p92 (forall @t89 (=> @t192 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t43) @t7) @t168)))) % 1.12/1.37 (assume @p93 (forall @t113 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t43) @t7))) % 1.12/1.37 (assume @p94 (forall @t113 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t7) @t43))) % 1.12/1.37 (assume @p95 (forall @t40 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t7 @t25) @t7))) % 1.12/1.37 (assume @p96 (forall @t195 (=> @t141 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t43 @t116) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t194 @t193))))) % 1.12/1.37 (assume @p97 (forall (@list @t25 @t119 @t117) (=> @t196 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t117 @t25) @t119)))) % 1.12/1.37 (assume @p98 (forall @t110 (=> @t200 (=> @t199 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t198 @t197) @t159))))) % 1.12/1.37 (assume @p99 (forall @t138 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t119 @t43) (=> @t201 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t119) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t119)) @t134))))) % 1.12/1.37 (assume @p100 (forall @t110 (=> @t200 (=> @t199 (= (= @t198 @t197) @t100))))) % 1.12/1.37 (assume @p101 (forall @t202 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t120 @t25) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t120)) @t120)))) % 1.12/1.37 (assume @p102 (forall @t195 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t116) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t116))))) % 1.12/1.37 (assume @p103 (forall @t195 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t194 @t193)))) % 1.12/1.37 (assume @p104 (forall @t89 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t134 @t43))) % 1.12/1.37 (assume @p105 (forall @t39 (=> @t38 (=> @t203 (=> @t36 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t30)))))) % 1.12/1.37 (assume @p106 (forall @t53 (=> @t38 (=> @t36 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t32))))) % 1.12/1.37 (assume @p107 (forall @t53 (=> @t38 (=> @t204 (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t32))))) % 1.12/1.37 (assume @p108 (forall @t53 (=> @t38 (=> @t205 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t50 @t32))))) % 1.12/1.37 (assume @p109 (forall @t214 (=> @t213 (= (= @t209 @t35) (and @t207 @t189))))) % 1.12/1.37 (assume @p110 (forall (@list @t77 @t79 @t206 @t27) (=> @t38 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t50 @t206) (= (= (tptp.hAPP @t208 @t79) @t209) @t100))))) % 1.12/1.37 (assume @p111 (forall @t115 (=> @t51 (= (tptp.hAPP @t31 @t7) @t50)))) % 1.12/1.37 (assume @p112 (forall @t171 (=> @t34 (=> @t215 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t134 @t43))))) % 1.12/1.37 (assume @p113 (forall @t216 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t77 @t79)) @t153))) % 1.12/1.37 (assume @p114 (forall @t89 (=> @t62 @t192))) % 1.12/1.37 (assume @p115 (forall @t84 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t79 @t77) @t7) @t159))) % 1.12/1.37 (assume @p116 (forall @t110 (=> @t200 (=> @t199 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t198 @t197) @t153))))) % 1.12/1.37 (assume @p117 (forall @t218 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t26) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t217 @t13) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t13 @t217) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t26 @t217)))))) % 1.12/1.37 (assume @p118 (forall @t71 (=> @t38 (=> @t33 (=> @t70 @t37))))) % 1.12/1.37 (assume @p119 (forall @t53 (=> @t38 (=> @t52 (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t186))))) % 1.12/1.37 (assume @p120 (forall @t53 (=> @t38 (=> @t52 (tptp.c_Orderings_Oord__class_Oless @t27 @t50 @t186))))) % 1.12/1.37 (assume @p121 (forall @t188 (=> @t222 (and (=> @t48 (= @t220 @t50)) (=> @t49 (= @t220 @t35)))))) % 1.12/1.37 (assume @p122 (forall @t53 (=> @t225 (= (tptp.hAPP (tptp.hAPP @t28 @t224) @t25) (tptp.hAPP (tptp.hAPP @t45 (tptp.hAPP (tptp.hAPP @t28 @t223) @t25)) @t32))))) % 1.12/1.37 (assume @p123 (forall @t68 (=> @t38 (=> @t226 (=> @t52 (tptp.c_Orderings_Oord__class_Oless @t27 @t32 @t66)))))) % 1.12/1.37 (assume @p124 (forall @t64 (=> @t38 (=> @t52 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t63 @t32) @t141))))) % 1.12/1.37 (assume @p125 (forall @t61 (=> @t38 (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t59 @t58) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t55 @t54)))))) % 1.12/1.37 (assume @p126 (forall @t68 (=> @t38 (=> @t67 (=> @t205 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t32 @t66)))))) % 1.12/1.37 (assume @p127 (forall @t53 (=> @t38 (=> @t204 (=> @t227 (tptp.c_Orderings_Oord__class_Oless @t27 @t186 @t32)))))) % 1.12/1.37 (assume @p128 (forall @t68 (=> @t38 (=> @t226 (=> @t204 (=> @t227 (tptp.c_Orderings_Oord__class_Oless @t27 @t66 @t32))))))) % 1.12/1.37 (assume @p129 (not (forall (@list @t228) (not (= tptp.v_qa____ (tptp.hAPP @t22 @t228)))))) % 1.12/1.37 (assume @p130 (not (tptp.c_Rings_Odvd__class_Odvd @t8 (tptp.hAPP @t18 (tptp.c_Nat_OSuc @t11)) tptp.v_pa____))) % 1.12/1.37 (assume @p131 (forall @t238 (=> @t237 @t236))) % 1.12/1.37 (assume @p132 (forall (@list @t241 @t239 @t27) (=> @t237 (= (tptp.c_Rings_Odvd__class_Odvd @t231 (tptp.c_Polynomial_OpCons @t27 @t239 @t233) @t241) (= (tptp.hAPP @t242 @t240) @t35))))) % 1.12/1.37 (assume @p133 (forall @t243 (=> @t237 (= (= (tptp.hAPP @t242 @t239) @t35) (tptp.c_Rings_Odvd__class_Odvd @t231 (tptp.c_Polynomial_OpCons @t27 @t240 @t233) @t241))))) % 1.12/1.37 (assume @p134 (not (forall @t246 (not @t245)))) % 1.12/1.37 (assume @p135 (exists @t246 @t245)) % 1.12/1.37 (assume @p136 (forall @t162 (=> @t114 (=> @t34 (= (tptp.hAPP (tptp.hAPP @t45 (tptp.hAPP @t94 @t42)) @t93) @t95))))) % 1.12/1.37 (assume @p137 (forall @t53 (=> @t97 (= (tptp.c_Polynomial_Odegree @t27 @t247) @t25)))) % 1.12/1.37 (assume @p138 (forall (@list @t206 @t241 @t27) (=> @t237 (= (= (tptp.hAPP @t242 @t206) @t35) (or @t248 (not (= (tptp.c_Polynomial_Oorder @t27 @t206 @t241) @t7))))))) % 1.12/1.37 (assume @p139 (forall @t115 (=> @t97 (tptp.c_Rings_Odvd__class_Odvd @t27 @t13 @t35)))) % 1.12/1.37 (assume @p140 (forall @t250 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t249 @t119))) % 1.12/1.37 (assume @p141 (forall @t40 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t251))) % 1.12/1.37 (assume @p142 (forall @t89 (=> @t141 @t253))) % 1.12/1.37 (assume @p143 (forall @t40 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t251))) % 1.12/1.37 (assume @p144 (forall @t40 (not (= @t25 @t251)))) % 1.12/1.37 (assume @p145 (forall @t40 (not (= @t251 @t25)))) % 1.12/1.37 (assume @p146 (forall @t89 (= @t88 @t254))) % 1.12/1.37 (assume @p147 (forall (@list @t255 @t256) (= (= (tptp.c_Nat_OSuc @t256) (tptp.c_Nat_OSuc @t255)) (= @t256 @t255)))) % 1.12/1.37 (assume @p148 (forall @t135 (= (tptp.hAPP (tptp.hAPP @t76 @t88) @t119) (tptp.hAPP @t87 @t132)))) % 1.12/1.37 (assume @p149 (forall @t110 (= (= @t259 @t258) @t100))) % 1.12/1.37 (assume @p150 (forall @t175 (=> (= (tptp.c_Nat_OSuc @t93) (tptp.c_Nat_OSuc @t90)) @t173))) % 1.12/1.37 (assume @p151 (forall @t261 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t79 @t249) @t260))) % 1.12/1.37 (assume @p152 (forall @t263 (=> @t262 (= (tptp.c_Groups_Ouminus__class_Ouminus @t231 @t232) @t232)))) % 1.12/1.37 (assume @p153 (forall @t266 (=> @t262 (= (tptp.c_Polynomial_Odegree @t27 @t265) @t264)))) % 1.12/1.37 (assume @p154 (forall @t113 (not (= @t7 @t252)))) % 1.12/1.37 (assume @p155 (forall (@list @t267) (not (= @t7 (tptp.c_Nat_OSuc @t267))))) % 1.12/1.37 (assume @p156 (forall @t113 (not (= @t252 @t7)))) % 1.12/1.37 (assume @p157 (forall (@list @t268) (not (= (tptp.c_Nat_OSuc @t268) @t7)))) % 1.12/1.37 (assume @p158 (forall @t84 (= (= @t83 @t249) (and @t260 @t269)))) % 1.12/1.37 (assume @p159 (forall (@list @t79 @t55) (= (= (tptp.hAPP @t148 @t79) @t249) (or @t112 (= @t55 @t249))))) % 1.12/1.37 (assume @p160 (forall @t40 (= (tptp.hAPP (tptp.hAPP @t142 @t249) @t25) @t249))) % 1.12/1.37 (assume @p161 (forall @t84 (= (not @t153) @t271))) % 1.12/1.37 (assume @p162 (forall @t84 (= @t273 @t191))) % 1.12/1.37 (assume @p163 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t270 @t272) @t153))) % 1.12/1.37 (assume @p164 (forall @t216 (=> (not @t165) @t274))) % 1.12/1.37 (assume @p165 (forall @t171 (=> (not @t170) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t252) @t168)))) % 1.12/1.37 (assume @p166 (forall @t89 (=> @t141 @t275))) % 1.12/1.37 (assume @p167 (forall @t89 (=> @t141 (=> (not (= @t252 @t25)) @t276)))) % 1.12/1.37 (assume @p168 (forall @t129 (=> @t152 (=> @t196 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t277 @t119))))) % 1.12/1.37 (assume @p169 (forall @t89 (=> @t275 (=> @t278 @t168)))) % 1.12/1.37 (assume @p170 (forall @t89 (=> @t276 @t141))) % 1.12/1.37 (assume @p171 (forall @t89 (=> @t253 @t141))) % 1.12/1.37 (assume @p172 (forall @t110 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t259 @t258) @t153))) % 1.12/1.37 (assume @p173 (forall @t40 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t251 @t25)))) % 1.12/1.37 (assume @p174 (forall @t84 (= (not @t159) @t279))) % 1.12/1.37 (assume @p175 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t79 @t272) (or @t159 (= @t79 @t272))))) % 1.12/1.37 (assume @p176 (forall @t216 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t272 @t270) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t77 @t79)))) % 1.12/1.37 (assume @p177 (forall @t89 (=> @t62 @t280))) % 1.12/1.37 (assume @p178 (forall @t89 (=> @t280 (=> (not @t62) (= @t43 @t251))))) % 1.12/1.37 (assume @p179 (forall @t89 (=> @t281 @t62))) % 1.12/1.37 (assume @p180 (forall @t110 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t259 @t258) @t159))) % 1.12/1.37 (assume @p181 (forall @t138 (=> @t284 (=> @t283 @t282)))) % 1.12/1.37 (assume @p182 (forall @t261 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t79 @t41) @t80))) % 1.12/1.37 (assume @p183 (forall @t89 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t252 @t251) @t134))) % 1.12/1.37 (assume @p184 (forall @t135 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t285 (tptp.c_Nat_OSuc @t119)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t134 @t119)))) % 1.12/1.37 (assume @p185 (forall @t188 (=> @t222 (= (tptp.hAPP @t219 @t251) @t35)))) % 1.12/1.37 (assume @p186 (forall @t289 (=> @t237 (= (= (tptp.hAPP (tptp.hAPP @t28 @t55) @t288) (tptp.hAPP (tptp.hAPP @t28 @t54) @t288)) (or @t287 (= @t55 @t286)))))) % 1.12/1.37 (assume @p187 (forall @t53 (=> @t51 (= @t290 @t186)))) % 1.12/1.37 (assume @p188 (forall @t53 (=> @t114 (= @t290 @t187)))) % 1.12/1.37 (assume @p189 (forall @t89 (=> @t215 (=> @t141 (not @t291))))) % 1.12/1.37 (assume @p190 (forall @t138 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t137 @t136) (=> @t151 @t292)))) % 1.12/1.37 (assume @p191 (forall @t190 (= @t157 (exists @t75 (= @t77 (tptp.c_Nat_OSuc @t72)))))) % 1.12/1.37 (assume @p192 (forall @t190 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t77 @t249) @t111))) % 1.12/1.37 (assume @p193 (forall @t84 (= @t273 (or @t112 (exists @t294 (and (= @t79 (tptp.c_Nat_OSuc @t293)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t293 @t77))))))) % 1.12/1.37 (assume @p194 (forall @t171 (=> @t296 (=> @t295 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t88))))) % 1.12/1.37 (assume @p195 (forall @t171 (=> @t296 (=> @t295 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t254))))) % 1.12/1.37 (assume @p196 (forall @t171 (=> @t296 (=> @t295 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t249 @t88))))) % 1.12/1.37 (assume @p197 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t249 @t83) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t249 @t79) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t249 @t77))))) % 1.12/1.37 (assume @p198 (forall @t202 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t249 @t120) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t249 @t144)))) % 1.12/1.37 (assume @p199 (forall @t216 (= @t165 @t279))) % 1.12/1.37 (assume @p200 (forall @t84 (= @t273 @t159))) % 1.12/1.37 (assume @p201 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t270 @t77) @t153))) % 1.12/1.37 (assume @p202 (forall @t89 (=> @t62 @t275))) % 1.12/1.37 (assume @p203 (forall @t89 (=> @t141 @t281))) % 1.12/1.37 (assume @p204 (forall @t84 (=> @t159 @t274))) % 1.12/1.37 (assume @p205 (forall @t89 (=> @t281 @t141))) % 1.12/1.37 (assume @p206 (= @t41 @t249)) % 1.12/1.37 (assume @p207 (forall @t138 (=> @t282 (=> @t284 (=> @t139 @t283))))) % 1.12/1.37 (assume @p208 (forall @t138 (=> @t282 (=> @t283 (=> @t139 @t284))))) % 1.12/1.37 (assume @p209 (forall @t89 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t134 @t252))) % 1.12/1.37 (assume @p210 (forall @t171 (=> @t139 (= @t285 (tptp.c_Nat_OSuc @t134))))) % 1.12/1.37 (assume @p211 (forall @t40 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t251 @t41) @t25))) % 1.12/1.37 (assume @p212 (forall @t238 (=> @t300 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t299 @t297)))) % 1.12/1.37 (assume @p213 (forall @t304 (=> @t300 @t303))) % 1.12/1.37 (assume @p214 (forall (@list @t25 @t305 @t27) (=> @t38 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t305) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t305 @t50) (tptp.c_Orderings_Oord__class_Oless__eq @t27 (tptp.hAPP (tptp.hAPP @t28 @t305) @t251) @t305)))))) % 1.12/1.37 (assume @p215 (forall @t71 (=> @t38 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t290 @t306) (=> @t70 @t203))))) % 1.12/1.37 (assume @p216 (forall @t71 (=> @t38 (=> (= @t290 @t306) (=> @t36 (=> @t70 @t69)))))) % 1.12/1.37 (assume @p217 (forall @t53 (=> @t38 (=> @t52 (tptp.c_Orderings_Oord__class_Oless @t27 @t50 @t290))))) % 1.12/1.37 (assume @p218 (forall @t304 (=> @t300 (and (=> @t301 (= @t299 @t7)) @t303)))) % 1.12/1.37 (assume @p219 (forall (@list @t25 @t119) (=> @t283 (=> @t34 @t201)))) % 1.12/1.37 (assume @p220 (forall @t84 (=> @t158 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t83 @t79) @t78)))) % 1.12/1.37 (assume @p221 (forall @t84 (=> @t158 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t102 @t79) @t79) @t78)))) % 1.12/1.37 (assume @p222 (forall @t40 (=> @t34 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t249)) @t25)))) % 1.12/1.37 (assume @p223 (forall (@list @t120 @t25) (=> @t34 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t277) @t25)))) % 1.12/1.37 (assume @p224 (forall @t146 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t145 @t144) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t41 @t120) @t62)))) % 1.12/1.37 (assume @p225 (forall @t312 (=> @t311 @t310))) % 1.12/1.37 (assume @p226 (forall @t316 (=> @t97 (=> @t315 (=> @t314 @t313))))) % 1.12/1.37 (assume @p227 (forall @t115 (=> @t97 (tptp.c_Rings_Odvd__class_Odvd @t27 @t13 @t13)))) % 1.12/1.37 (assume @p228 (forall (@list @t317 @t56 @t241 @t206 @t27) (=> @t300 (= (= @t320 (tptp.c_Polynomial_OpCons @t27 @t56 @t317)) (and @t319 @t318))))) % 1.12/1.37 (assume @p229 (forall @t323 (=> @t322 (= (= @t242 (tptp.c_Polynomial_Opoly @t27 @t317)) @t318)))) % 1.12/1.37 (assume @p230 (forall @t53 (=> @t38 (=> @t204 (=> @t227 (tptp.c_Orderings_Oord__class_Oless @t27 @t290 @t50)))))) % 1.12/1.37 (assume @p231 (forall (@list @t90 @t25 @t229 @t27) (=> @t114 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t229 @t25) (= (tptp.hAPP @t91 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t251 @t229)) (tptp.hAPP (tptp.hAPP @t45 (tptp.hAPP @t91 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t229))) @t90)))))) % 1.12/1.37 (assume @p232 (forall @t40 (=> @t34 (= @t324 @t25)))) % 1.12/1.37 (assume @p233 (forall @t304 (=> @t237 (=> @t302 @t325)))) % 1.12/1.37 (assume @p234 (forall @t304 (=> @t237 (=> @t302 (and @t236 @t325))))) % 1.12/1.37 (assume @p235 (forall @t115 (=> @t212 @t327))) % 1.12/1.37 (assume @p236 (forall @t115 (=> @t212 @t328))) % 1.12/1.37 (assume @p237 (forall @t331 (=> (tptp.class_Rings_Oring__no__zero__divisors @t27) (= (= @t330 @t35) (or @t207 (= @t56 @t35)))))) % 1.12/1.37 (assume @p238 (forall @t335 (=> @t211 (=> @t180 (=> @t334 (not @t332)))))) % 1.12/1.37 (assume @p239 (forall @t335 (=> @t211 (=> @t332 (or @t179 @t333))))) % 1.12/1.37 (assume @p240 (forall @t263 (=> @t210 (not (= @t50 @t35))))) % 1.12/1.37 (assume @p241 (forall @t263 (=> @t210 (not (= @t35 @t50))))) % 1.12/1.37 (assume @p242 (forall @t115 (=> @t97 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t35 @t13) @t179)))) % 1.12/1.37 (assume @p243 (forall @t335 (=> @t339 (= @t338 @t337)))) % 1.12/1.37 (assume @p244 (forall @t335 (=> @t339 (= @t338 @t341)))) % 1.12/1.37 (assume @p245 (forall @t335 (=> @t339 (= @t341 @t337)))) % 1.12/1.37 (assume @p246 (forall @t335 (=> @t339 (= (tptp.hAPP @t340 @t336) @t184)))) % 1.12/1.37 (assume @p247 (forall @t331 (=> @t237 (= (= (tptp.hAPP @t329 @t206) (tptp.hAPP @t344 @t56)) (or @t319 @t343))))) % 1.12/1.37 (assume @p248 (forall @t335 (=> @t97 (tptp.c_Rings_Odvd__class_Odvd @t27 @t13 @t184)))) % 1.12/1.37 (assume @p249 (forall @t335 (=> @t97 (tptp.c_Rings_Odvd__class_Odvd @t27 @t13 @t346)))) % 1.12/1.37 (assume @p250 (forall @t316 (=> @t97 (=> @t315 @t348)))) % 1.12/1.37 (assume @p251 (forall @t349 (=> @t97 (=> @t313 @t348)))) % 1.12/1.37 (assume @p252 (forall @t353 (=> @t97 (=> @t315 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t217 @t350) (tptp.c_Rings_Odvd__class_Odvd @t27 @t352 @t351)))))) % 1.12/1.37 (assume @p253 (forall (@list @t119 @t26 @t13 @t27) (=> @t354 (=> (= @t13 (tptp.hAPP @t345 @t119)) (tptp.c_Rings_Odvd__class_Odvd @t27 @t26 @t13))))) % 1.12/1.37 (assume @p254 (forall @t316 (=> @t97 (=> @t355 @t313)))) % 1.12/1.37 (assume @p255 (forall @t316 (=> @t97 (=> @t355 @t314)))) % 1.12/1.37 (assume @p256 (forall @t115 (=> @t97 (tptp.c_Rings_Odvd__class_Odvd @t27 @t50 @t13)))) % 1.12/1.37 (assume @p257 (forall @t358 (=> @t357 (=> @t96 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t93 @t356) (tptp.c_Rings_Odvd__class_Odvd @t27 @t93 (tptp.c_Groups_Ominus__class_Ominus @t27 @t90 @t356))))))) % 1.12/1.37 (assume @p258 (forall @t289 (=> @t357 (= (tptp.c_Rings_Odvd__class_Odvd @t27 @t55 @t286) @t359)))) % 1.12/1.37 (assume @p259 (forall @t289 (=> @t357 (= (tptp.c_Rings_Odvd__class_Odvd @t27 @t360 @t54) @t359)))) % 1.12/1.37 (assume @p260 (forall @t365 (=> @t262 (= (tptp.c_Groups_Ominus__class_Ominus @t231 @t298 @t364) (tptp.c_Polynomial_OpCons @t27 @t363 @t362))))) % 1.12/1.37 (assume @p261 (forall @t238 (=> @t262 (= (tptp.c_Groups_Ouminus__class_Ouminus @t231 @t298) (tptp.c_Polynomial_OpCons @t27 @t224 @t265))))) % 1.12/1.37 (assume @p262 (forall (@list @t229 @t13 @t366) (=> (tptp.class_Groups_Oab__group__add @t366) (= (tptp.c_Groups_Ouminus__class_Ouminus @t367 (tptp.c_Polynomial_OpCons @t366 @t13 @t229)) (tptp.c_Polynomial_OpCons @t366 (tptp.c_Groups_Ouminus__class_Ouminus @t366 @t13) (tptp.c_Groups_Ouminus__class_Ouminus @t367 @t229)))))) % 1.12/1.37 (assume @p263 (forall @t263 (=> @t97 (= (tptp.c_Polynomial_Odegree @t27 @t368) @t7)))) % 1.12/1.37 (assume @p264 (forall @t369 (=> @t97 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t368) @t93) @t50)))) % 1.12/1.37 (assume @p265 (forall @t374 (=> @t373 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t362) @t93) (tptp.c_Groups_Ominus__class_Ominus @t27 @t372 @t370))))) % 1.12/1.37 (assume @p266 (forall (@list @t93 @t229 @t27) (=> @t373 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t265) @t93) (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t372))))) % 1.12/1.37 (assume @p267 (forall @t376 (=> @t322 (= (= @t242 @t375) @t248)))) % 1.12/1.37 (assume @p268 (forall @t379 (=> @t378 (= (tptp.hAPP (tptp.hAPP @t377 @t232) @t361) @t232)))) % 1.12/1.37 (assume @p269 (forall @t266 (=> @t378 (= (tptp.hAPP @t380 @t232) @t232)))) % 1.12/1.37 (assume @p270 (forall @t115 (=> @t382 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t381)))) % 1.12/1.37 (assume @p271 (forall @t331 (=> @t387 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t330) (or (and @t386 @t385) (and @t384 @t383)))))) % 1.12/1.37 (assume @p272 (forall @t331 (=> @t387 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t330 @t35) (or (and @t386 @t383) (and @t384 @t385)))))) % 1.12/1.37 (assume @p273 (forall @t335 (=> @t389 (=> @t36 (=> @t70 @t388))))) % 1.12/1.37 (assume @p274 (forall @t335 (=> @t389 (=> @t36 (=> @t391 @t390))))) % 1.12/1.37 (assume @p275 (forall @t335 (=> @t389 (=> @t36 (=> @t391 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t346 @t35)))))) % 1.12/1.37 (assume @p276 (forall @t335 (=> @t389 (=> @t392 (=> @t70 @t390))))) % 1.12/1.37 (assume @p277 (forall @t335 (=> @t393 (=> @t392 (=> @t391 @t388))))) % 1.12/1.37 (assume @p278 (forall @t316 (=> @t396 (=> @t203 (=> @t395 @t394))))) % 1.12/1.37 (assume @p279 (forall @t316 (=> @t396 @t401))) % 1.12/1.37 (assume @p280 (forall @t316 (=> (tptp.class_Rings_Oordered__comm__semiring @t27) @t401))) % 1.12/1.37 (assume @p281 (forall @t404 (=> @t393 (=> @t403 (=> @t402 @t394))))) % 1.12/1.37 (assume @p282 (forall @t404 (=> @t393 (=> @t403 (=> @t402 @t400))))) % 1.12/1.37 (assume @p283 (forall @t353 (=> @t396 (=> @t203 (=> @t406 (=> @t36 @t405)))))) % 1.12/1.37 (assume @p284 (forall @t353 (=> @t396 (=> @t203 (=> @t406 (=> @t70 @t405)))))) % 1.12/1.37 (assume @p285 (forall @t335 (=> @t393 (=> (or (and @t36 @t70) (and @t392 @t391)) @t388)))) % 1.12/1.37 (assume @p286 (forall @t335 (=> @t389 (=> (or (and @t36 @t391) (and @t392 @t70)) @t390)))) % 1.12/1.37 (assume @p287 (forall @t115 (=> @t382 (not (tptp.c_Orderings_Oord__class_Oless @t27 @t381 @t35))))) % 1.12/1.37 (assume @p288 (forall @t414 (=> @t387 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t413 @t412) @t411)))) % 1.12/1.37 (assume @p289 (forall @t419 (=> @t387 (= @t418 @t411)))) % 1.12/1.37 (assume @p290 (forall @t419 (=> @t387 (=> @t410 (= @t418 @t409))))) % 1.12/1.37 (assume @p291 (forall @t335 (=> @t422 (=> @t204 (=> @t421 @t420))))) % 1.12/1.37 (assume @p292 (forall @t335 (=> @t422 (=> @t204 (=> @t424 @t423))))) % 1.12/1.37 (assume @p293 (forall @t335 (=> @t422 (=> @t204 (=> @t424 (tptp.c_Orderings_Oord__class_Oless @t27 @t346 @t35)))))) % 1.12/1.37 (assume @p294 (forall @t335 (=> @t422 (=> @t420 @t425)))) % 1.12/1.37 (assume @p295 (forall @t426 (=> @t422 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t346) @t425)))) % 1.12/1.37 (assume @p296 (forall @t419 (=> @t387 (=> @t408 (= @t418 @t407))))) % 1.12/1.37 (assume @p297 (forall @t335 (=> @t422 (=> @t427 (=> @t421 @t423))))) % 1.12/1.37 (assume @p298 (forall @t335 (=> @t387 (=> @t427 (=> @t424 @t420))))) % 1.12/1.37 (assume @p299 (forall @t316 (=> @t422 (=> @t37 (=> @t429 @t428))))) % 1.12/1.37 (assume @p300 (forall @t316 (=> @t422 @t431))) % 1.12/1.37 (assume @p301 (forall @t316 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t27) @t431))) % 1.12/1.37 (assume @p302 (forall @t404 (=> @t387 (=> @t433 (=> @t432 @t428))))) % 1.12/1.37 (assume @p303 (forall @t404 (=> @t387 (=> @t433 (=> @t432 @t430))))) % 1.12/1.37 (assume @p304 (forall @t263 (=> @t38 (not (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t50 @t35))))) % 1.12/1.37 (assume @p305 (forall @t263 (=> @t38 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t50)))) % 1.12/1.37 (assume @p306 (forall @t263 (=> @t38 (not (tptp.c_Orderings_Oord__class_Oless @t27 @t50 @t35))))) % 1.12/1.37 (assume @p307 (forall @t263 (=> @t38 (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t50)))) % 1.12/1.37 (assume @p308 (forall @t436 (=> @t311 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t206 @t435) @t434)))) % 1.12/1.37 (assume @p309 (forall (@list @t25 @t43 @t27) (=> @t38 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t50 @t43) (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t50 @t25) (tptp.c_Orderings_Oord__class_Oless @t27 @t50 (tptp.hAPP @t46 @t25))))))) % 1.12/1.37 (assume @p310 (forall @t414 (=> @t237 (= (tptp.c_Rings_Odvd__class_Odvd @t27 @t413 @t412) @t439)))) % 1.12/1.37 (assume @p311 (forall @t419 (=> @t237 (= (tptp.c_Rings_Odvd__class_Odvd @t27 @t417 @t416) @t439)))) % 1.12/1.37 (assume @p312 (forall @t443 (=> @t181 (= (= @t442 @t50) (or @t440 (= @t55 @t223)))))) % 1.12/1.37 (assume @p313 (forall @t263 (=> @t300 (= (tptp.c_Polynomial_OpCons @t27 @t35 @t232) @t232)))) % 1.12/1.37 (assume @p314 (forall @t444 (=> @t300 (= (= @t320 @t232) (and @t207 @t248))))) % 1.12/1.37 (assume @p315 (forall @t263 (=> @t97 (= @t368 @t233)))) % 1.12/1.37 (assume @p316 (forall @t369 (=> @t378 (= (tptp.hAPP @t375 @t93) @t35)))) % 1.12/1.37 (assume @p317 (forall @t263 (=> @t300 (= (tptp.c_Polynomial_Odegree @t27 @t232) @t7)))) % 1.12/1.37 (assume @p318 (forall @t374 (=> @t378 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t445) @t93) (tptp.hAPP (tptp.hAPP @t45 @t372) @t370))))) % 1.12/1.37 (assume @p319 (forall @t448 (=> @t97 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t27 @t447) (tptp.hAPP @t446 @t25))))) % 1.12/1.37 (assume @p320 (forall (@list @t93 @t25 @t229 @t27) (=> @t97 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t447) @t93) (tptp.hAPP (tptp.hAPP @t28 @t372) @t25))))) % 1.12/1.37 (assume @p321 (forall @t419 (=> @t387 (=> @t410 (= @t450 @t449))))) % 1.12/1.37 (assume @p322 (forall @t419 (=> @t387 (=> @t408 (= @t450 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t56 @t206)))))) % 1.12/1.37 (assume @p323 (forall @t353 (=> @t422 (=> @t37 (=> @t453 (=> @t421 @t452)))))) % 1.12/1.37 (assume @p324 (forall @t353 (=> @t422 (=> @t37 (=> @t453 (=> @t36 @t452)))))) % 1.12/1.37 (assume @p325 (forall @t353 (=> @t422 (=> @t37 (=> @t406 (=> @t36 (=> @t429 @t451))))))) % 1.12/1.37 (assume @p326 (forall @t353 (=> @t422 (=> @t203 (=> @t453 (=> @t204 @t452)))))) % 1.12/1.37 (assume @p327 (forall @t349 (=> @t456 @t455))) % 1.12/1.37 (assume @p328 (forall @t349 (=> @t422 @t455))) % 1.12/1.37 (assume @p329 (forall @t458 (=> @t456 @t457))) % 1.12/1.37 (assume @p330 (forall @t458 (=> @t422 @t457))) % 1.12/1.37 (assume @p331 (forall @t349 (=> @t422 (=> @t394 @t459)))) % 1.12/1.37 (assume @p332 (forall @t458 (=> @t422 (=> @t400 @t459)))) % 1.12/1.37 (assume @p333 (forall @t312 (=> @t311 (=> @t464 (=> @t463 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t461 @t93))))))) % 1.12/1.37 (assume @p334 (forall @t312 (=> @t311 (=> @t464 (=> @t463 (=> @t462 (tptp.c_Orderings_Oord__class_Oless__eq @t27 (tptp.hAPP @t465 @t93) @t93))))))) % 1.12/1.37 (assume @p335 (forall @t115 (=> @t300 (= (tptp.c_Polynomial_Odegree @t27 @t466) @t7)))) % 1.12/1.37 (assume @p336 (forall @t470 (=> @t237 (=> @t469 (=> @t468 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t264 @t467)))))) % 1.12/1.37 (assume @p337 (forall @t304 (=> @t237 (=> @t302 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t230 @t264))))) % 1.12/1.37 (assume @p338 (forall (@list @t229 @t43) (and (=> @t86 (= @t474 @t41)) (=> @t475 (= @t474 (tptp.hAPP @t473 (tptp.hAPP @t472 @t471))))))) % 1.12/1.37 (assume @p339 (forall @t40 (=> @t34 (= @t25 @t324)))) % 1.12/1.37 (assume @p340 (forall @t110 (=> @t154 (= @t161 @t159)))) % 1.12/1.37 (assume @p341 (forall @t150 (= @t149 (or @t111 @t147)))) % 1.12/1.37 (assume @p342 (forall @t89 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t251) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t471 @t25)))) % 1.12/1.37 (assume @p343 (forall @t110 (=> @t154 (= @t477 @t476)))) % 1.12/1.37 (assume @p344 (forall @t110 (=> @t154 (= @t109 @t100)))) % 1.12/1.37 (assume @p345 (forall @t110 (=> @t154 (= @t156 @t153)))) % 1.12/1.37 (assume @p346 (forall @t478 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t288) (or (= @t93 @t7) (= @t93 @t249))))) % 1.12/1.37 (assume @p347 (forall @t478 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t93 @t93))) % 1.12/1.37 (assume @p348 (forall @t481 (= @t287 (and @t480 @t479)))) % 1.12/1.37 (assume @p349 (forall @t481 (= @t480 (or @t482 @t287)))) % 1.12/1.37 (assume @p350 (forall @t481 (= @t482 (and @t480 @t483)))) % 1.12/1.37 (assume @p351 (forall @t488 (=> @t487 (=> @t485 @t486)))) % 1.12/1.37 (assume @p352 (forall @t175 (=> @t173 @t489))) % 1.12/1.37 (assume @p353 (forall (@list @t55 @t54) (=> @t479 (= @t480 @t287)))) % 1.12/1.37 (assume @p354 (forall @t175 (=> @t489 (or @t491 @t173)))) % 1.12/1.37 (assume @p355 (forall @t488 (=> @t485 (=> @t487 @t486)))) % 1.12/1.37 (assume @p356 (forall @t218 (=> @t69 (=> @t493 @t492)))) % 1.12/1.37 (assume @p357 (forall @t218 (=> @t485 (=> @t494 @t492)))) % 1.12/1.37 (assume @p358 (forall @t89 (=> @t292 (=> @t291 @t168)))) % 1.12/1.37 (assume @p359 (forall @t175 (=> @t489 (=> @t490 @t173)))) % 1.12/1.37 (assume @p360 (forall @t497 (=> @t489 (=> @t496 @t495)))) % 1.12/1.37 (assume @p361 (forall @t218 (=> @t69 (=> (and @t493 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t217 @t26))) @t498)))) % 1.12/1.37 (assume @p362 (forall @t497 (=> @t489 @t500))) % 1.12/1.37 (assume @p363 (forall @t175 (=> @t491 @t174))) % 1.12/1.37 (assume @p364 (forall @t175 (=> @t491 (not (and @t490 (not @t489)))))) % 1.12/1.37 (assume @p365 (forall @t175 (=> @t491 @t489))) % 1.12/1.37 (assume @p366 (forall @t175 (=> @t491 @t501))) % 1.12/1.37 (assume @p367 (forall @t218 (=> @t486 (=> @t494 @t498)))) % 1.12/1.37 (assume @p368 (forall @t497 (=> @t491 (=> @t496 @t499)))) % 1.12/1.37 (assume @p369 (forall @t488 (=> @t486 (not (and @t484 (not @t485)))))) % 1.12/1.37 (assume @p370 (forall @t497 (=> @t491 @t500))) % 1.12/1.37 (assume @p371 (forall @t266 (=> @t262 (= (tptp.c_Groups_Ominus__class_Ominus @t231 @t229 @t232) @t229)))) % 1.12/1.37 (assume @p372 (forall @t379 (=> @t262 (= (tptp.c_Groups_Ominus__class_Ominus @t231 @t232 @t361) (tptp.c_Groups_Ouminus__class_Ouminus @t231 @t361))))) % 1.12/1.37 (assume @p373 (forall @t505 (=> @t262 (=> @t504 (=> @t503 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t502 @t25)))))) % 1.12/1.37 (assume @p374 (forall @t505 (=> @t262 (=> @t507 (=> @t506 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t502 @t25)))))) % 1.12/1.37 (assume @p375 (forall @t110 (= @t109 (or @t99 @t100)))) % 1.12/1.37 (assume @p376 (forall @t110 (= @t477 (or @t99 @t476)))) % 1.12/1.37 (assume @p377 (forall @t508 (=> @t189 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t142 @t206) @t77) (tptp.hAPP (tptp.hAPP @t142 @t56) @t77)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t206 @t56))))) % 1.12/1.37 (assume @p378 (forall @t509 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t142 @t13) @t25) (tptp.hAPP (tptp.hAPP @t142 @t26) @t25)) (=> @t49 @t485)))) % 1.12/1.37 (assume @p379 (forall @t171 (=> @t34 (=> @t292 @t215)))) % 1.12/1.37 (assume @p380 (forall @t369 (=> @t97 (= (tptp.hAPP @t94 @t7) @t50)))) % 1.12/1.37 (assume @p381 (forall @t513 (=> @t97 (= (tptp.hAPP @t512 @t93) @t510)))) % 1.12/1.37 (assume @p382 (forall @t335 (=> @t97 (= @t184 @t346)))) % 1.12/1.37 (assume @p383 (forall @t521 (=> @t97 (= @t520 (tptp.hAPP @t518 (tptp.hAPP @t516 @t514)))))) % 1.12/1.37 (assume @p384 (forall @t521 (=> @t97 (= @t520 (tptp.hAPP @t522 @t514))))) % 1.12/1.37 (assume @p385 (forall @t527 (=> @t97 (= @t526 (tptp.hAPP @t516 (tptp.hAPP @t524 @t517)))))) % 1.12/1.37 (assume @p386 (forall @t527 (=> @t97 (= @t526 (tptp.hAPP @t522 @t523))))) % 1.12/1.37 (assume @p387 (forall @t529 (=> @t97 (= @t528 (tptp.hAPP @t516 (tptp.hAPP @t524 @t519)))))) % 1.12/1.37 (assume @p388 (forall @t529 (=> @t97 (= @t528 (tptp.hAPP @t518 (tptp.hAPP @t525 @t514)))))) % 1.12/1.37 (assume @p389 (forall @t529 (=> @t97 (= @t528 (tptp.hAPP @t522 (tptp.hAPP @t524 @t514)))))) % 1.12/1.37 (assume @p390 (forall @t509 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t530 @t13) @t25) (tptp.hAPP (tptp.hAPP @t530 @t26) @t25)) (=> @t49 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t13 @t26))))) % 1.12/1.37 (assume @p391 (forall @t508 (=> @t189 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t530 @t206) @t77) (tptp.hAPP (tptp.hAPP @t530 @t56) @t77)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t206 @t56))))) % 1.12/1.37 (assume @p392 (forall @t115 (=> @t97 @t327))) % 1.12/1.37 (assume @p393 (forall @t115 (=> @t97 @t328))) % 1.12/1.37 (assume @p394 (forall @t115 (=> @t97 @t531))) % 1.12/1.37 (assume @p395 (forall @t115 (=> @t97 @t532))) % 1.12/1.37 (assume @p396 (forall (@list @t361 @t90 @t93 @t27) (=> @t97 (= (tptp.hAPP (tptp.hAPP @t28 @t461) @t361) (tptp.hAPP @t512 (tptp.hAPP @t91 @t361)))))) % 1.12/1.37 (assume @p397 (forall @t478 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t93 @t7))) % 1.12/1.37 (assume @p398 (forall @t534 (=> @t97 (= (tptp.hAPP (tptp.hAPP @t28 @t533) @t361) (tptp.hAPP @t94 (tptp.hAPP @t473 @t361)))))) % 1.12/1.37 (assume @p399 (forall @t369 (=> @t97 (= (tptp.hAPP @t94 @t41) @t93)))) % 1.12/1.37 (assume @p400 (forall @t478 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t41 @t93))) % 1.12/1.37 (assume @p401 (forall @t369 (=> @t357 (= @t535 (tptp.hAPP (tptp.hAPP @t45 @t223) @t93))))) % 1.12/1.37 (assume @p402 (forall @t513 (=> @t97 (= @t510 @t536)))) % 1.12/1.37 (assume @p403 (forall @t513 (=> @t97 (= @t536 @t510)))) % 1.12/1.37 (assume @p404 (forall @t115 (=> @t537 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t35 @t13) @t224)))) % 1.12/1.37 (assume @p405 (forall @t436 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t435) @t434)))) % 1.12/1.37 (assume @p406 (forall @t436 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t435 @t35) @t539)))) % 1.12/1.37 (assume @p407 (forall @t436 (=> @t540 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t435 @t206) @t539)))) % 1.12/1.37 (assume @p408 (forall @t436 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t435) @t384)))) % 1.12/1.37 (assume @p409 (forall @t443 (=> @t300 (= (= @t35 @t55) @t541)))) % 1.12/1.37 (assume @p410 (forall @t316 (=> (tptp.class_Groups_Oab__semigroup__mult @t27) (= (tptp.hAPP (tptp.hAPP @t45 @t184) @t217) (tptp.hAPP @t183 @t347))))) % 1.12/1.37 (assume @p411 (forall @t443 (=> (tptp.class_Groups_Oone @t27) (= (= @t50 @t55) @t440)))) % 1.12/1.37 (assume @p412 (forall @t546 (=> @t262 (=> @t545 (= @t319 @t543))))) % 1.12/1.37 (assume @p413 (forall @t331 (=> @t537 (= (= @t435 @t342) @t319)))) % 1.12/1.37 (assume @p414 (forall @t331 (=> @t537 (= (= @t435 @t56) (= @t342 @t206))))) % 1.12/1.37 (assume @p415 (forall @t331 (=> @t537 (= @t343 (= @t56 @t435))))) % 1.12/1.37 (assume @p416 (forall @t115 (=> @t537 (= (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t224) @t13)))) % 1.12/1.37 (assume @p417 (forall @t331 (=> @t537 (= @t547 @t319)))) % 1.12/1.37 (assume @p418 (forall @t331 (=> @t262 (= @t319 @t547)))) % 1.12/1.37 (assume @p419 (forall @t115 (=> @t537 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t13 @t13) @t35)))) % 1.12/1.37 (assume @p420 (forall @t115 (=> @t537 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t13 @t35) @t13)))) % 1.12/1.37 (assume @p421 (forall @t546 (=> @t538 (=> @t545 (= @t449 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t239 @t542)))))) % 1.12/1.37 (assume @p422 (forall @t546 (=> @t538 (=> @t545 (= @t409 (tptp.c_Orderings_Oord__class_Oless @t27 @t239 @t542)))))) % 1.12/1.37 (assume @p423 (forall @t436 (=> @t540 (= (= @t435 @t206) @t207)))) % 1.12/1.37 (assume @p424 (forall @t436 (=> @t537 (= (= @t435 @t35) @t207)))) % 1.12/1.37 (assume @p425 (forall @t436 (=> @t540 (= (= @t206 @t435) @t207)))) % 1.12/1.37 (assume @p426 (forall @t436 (=> @t537 (= (= @t35 @t435) (= @t35 @t206))))) % 1.12/1.37 (assume @p427 (forall @t263 (=> @t537 (= (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t35) @t35)))) % 1.12/1.37 (assume @p428 (forall @t115 (=> @t185 @t532))) % 1.12/1.37 (assume @p429 (forall @t115 (=> @t114 @t532))) % 1.12/1.37 (assume @p430 (forall @t115 (=> @t185 @t531))) % 1.12/1.37 (assume @p431 (forall @t115 (=> @t114 @t531))) % 1.12/1.37 (assume @p432 (forall @t335 (=> @t538 (=> @t203 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t336 @t224))))) % 1.12/1.37 (assume @p433 (forall @t548 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t342 @t435) @t449)))) % 1.12/1.37 (assume @p434 (forall @t331 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t435 @t56) (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t342 @t206))))) % 1.12/1.37 (assume @p435 (forall @t331 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t206 @t342) (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t56 @t435))))) % 1.12/1.37 (assume @p436 (forall @t548 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t342 @t435) @t409)))) % 1.12/1.37 (assume @p437 (forall @t331 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t435 @t56) (tptp.c_Orderings_Oord__class_Oless @t27 @t342 @t206))))) % 1.12/1.37 (assume @p438 (forall @t331 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t206 @t342) (tptp.c_Orderings_Oord__class_Oless @t27 @t56 @t435))))) % 1.12/1.37 (assume @p439 (forall @t335 (=> @t262 (= @t549 (tptp.c_Groups_Ominus__class_Ominus @t27 @t26 @t13))))) % 1.12/1.37 (assume @p440 (forall @t331 (=> @t538 (= @t449 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t544 @t35))))) % 1.12/1.37 (assume @p441 (forall @t331 (=> @t538 (= @t409 (tptp.c_Orderings_Oord__class_Oless @t27 @t544 @t35))))) % 1.12/1.37 (assume @p442 (forall @t436 (=> @t540 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t435 @t206) @t386)))) % 1.12/1.37 (assume @p443 (forall @t436 (=> @t538 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t435 @t35) @t386)))) % 1.12/1.37 (assume @p444 (forall @t436 (=> @t540 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t206 @t435) @t384)))) % 1.12/1.37 (assume @p445 (forall @t266 (=> @t300 (and (=> @t301 (= @t550 @t7)) (=> @t302 (= @t550 @t297)))))) % 1.12/1.37 (assume @p446 (forall @t369 (=> @t551 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t93 @t93)))) % 1.12/1.37 (assume @p447 (forall @t263 (=> @t51 (= @t28 (tptp.c_Power_Opower_Opower @t27 @t50 @t45))))) % 1.12/1.37 (assume @p448 (forall @t497 (= (tptp.hAPP (tptp.hAPP @t530 @t553) @t356) (tptp.hAPP @t552 (tptp.hAPP (tptp.hAPP @t76 @t90) @t356))))) % 1.12/1.37 (assume @p449 (forall @t470 (=> @t378 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t27 @t554) (tptp.hAPP @t446 @t467))))) % 1.12/1.37 (assume @p450 (forall @t379 (=> @t378 (= (tptp.c_Polynomial_Opcompose @t27 @t232 @t361) @t232)))) % 1.12/1.37 (assume @p451 (forall @t374 (=> @t378 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t554) @t93) (tptp.hAPP @t371 @t370))))) % 1.12/1.37 (assume @p452 (forall (@list @t206 @t556 @t555 @t27) (= (tptp.hAPP @t557 @t7) @t555))) % 1.12/1.37 (assume @p453 (forall (@list @t77 @t206 @t556 @t555 @t27) (= (tptp.hAPP @t557 @t272) (tptp.hAPP (tptp.hAPP @t556 @t206) (tptp.hAPP @t557 @t77))))) % 1.12/1.37 (assume @p454 (forall @t561 (=> @t560 (= @t559 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t366 @t5 @t4)))))) % 1.12/1.37 (assume @p455 (forall @t312 (=> @t564 (or @t563 @t562)))) % 1.12/1.37 (assume @p456 (forall @t289 (=> @t567 (= @t287 (and @t566 @t565))))) % 1.12/1.37 (assume @p457 (forall @t312 (=> @t551 (=> @t173 @t563)))) % 1.12/1.37 (assume @p458 (forall (@list @t55 @t1 @t2 @t27 @t366) (=> @t560 (=> @t559 (tptp.c_Orderings_Oord__class_Oless__eq @t366 (tptp.hAPP @t2 @t55) (tptp.hAPP @t1 @t55)))))) % 1.12/1.37 (assume @p459 (forall @t569 (=> @t567 (=> @t565 @t568)))) % 1.12/1.37 (assume @p460 (forall @t316 (=> @t572 (=> @t69 (=> @t571 @t570))))) % 1.12/1.37 (assume @p461 (forall @t316 (=> @t567 (=> @t69 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t217 @t26) @t573))))) % 1.12/1.37 (assume @p462 (forall @t316 (=> @t572 (=> @t203 (=> @t494 @t570))))) % 1.12/1.37 (assume @p463 (forall @t404 (=> @t567 (=> @t403 (=> @t494 @t573))))) % 1.12/1.37 (assume @p464 (forall @t312 (=> @t567 (=> @t563 (=> @t562 @t173))))) % 1.12/1.37 (assume @p465 (forall @t358 (=> @t551 (=> @t563 (=> @t574 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t93 @t356)))))) % 1.12/1.37 (assume @p466 (forall @t575 (=> @t567 (=> @t562 (=> @t563 @t173))))) % 1.12/1.37 (assume @p467 (forall @t577 (=> @t567 (=> @t562 (=> @t576 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t356 @t93)))))) % 1.12/1.37 (assume @p468 (forall @t312 (=> @t564 (=> (not @t563) @t562)))) % 1.12/1.37 (assume @p469 (forall @t369 (=> @t551 (not (tptp.c_Orderings_Oord__class_Oless @t27 @t93 @t93))))) % 1.12/1.37 (assume @p470 (forall @t289 (=> @t564 (= @t483 (or @t579 @t578))))) % 1.12/1.37 (assume @p471 (forall @t289 (=> @t564 (= @t580 (or @t578 @t287))))) % 1.12/1.37 (assume @p472 (forall @t312 (=> @t564 (or @t308 @t173 @t307)))) % 1.12/1.37 (assume @p473 (forall @t569 (=> @t564 (=> (not @t578) @t581)))) % 1.12/1.37 (assume @p474 (forall @t312 (=> @t564 @t310))) % 1.12/1.37 (assume @p475 (forall @t312 (=> @t567 (=> @t308 @t174)))) % 1.12/1.37 (assume @p476 (forall @t312 (=> @t551 (=> @t308 (not @t307))))) % 1.12/1.37 (assume @p477 (forall @t312 (=> @t567 (=> @t308 @t501)))) % 1.12/1.37 (assume @p478 (forall @t335 (=> @t551 (=> @t37 (not @t433))))) % 1.12/1.37 (assume @p479 (forall @t426 (=> @t567 (=> @t433 (not @t37))))) % 1.12/1.37 (assume @p480 (forall @t316 (=> @t572 (=> @t69 (=> @t583 @t582))))) % 1.12/1.37 (assume @p481 (forall @t316 (=> @t567 (=> @t69 (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t217 @t26) @t584))))) % 1.12/1.37 (assume @p482 (forall @t316 (=> @t572 (=> @t37 (=> @t494 @t582))))) % 1.12/1.37 (assume @p483 (forall @t404 (=> @t567 (=> @t433 (=> @t494 @t584))))) % 1.12/1.37 (assume @p484 (forall @t358 (=> @t551 (=> @t308 @t586)))) % 1.12/1.37 (assume @p485 (forall @t577 (=> @t567 (=> @t307 @t588)))) % 1.12/1.37 (assume @p486 (forall @t312 (=> @t564 (=> @t309 (=> @t174 @t307))))) % 1.12/1.37 (assume @p487 (forall @t89 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t43) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t25) (=> @t590 (=> @t589 @t168)))))) % 1.12/1.37 (assume @p488 (forall @t89 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t43) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t43 @t25) (not @t589))))) % 1.12/1.37 (assume @p489 (forall (@list @t25 @t356) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t356 @t25) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t25) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t356 @t25))))) % 1.12/1.37 (assume @p490 (forall @t138 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t119 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t43 @t25)) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t119 @t25) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t119 @t43))))) % 1.12/1.37 (assume @p491 (forall @t138 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t593 @t43) (tptp.hAPP @t593 @t25)) (=> (not (= @t119 @t591)) @t590)))) % 1.12/1.37 (assume @p492 (forall @t376 (=> @t300 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t27 @t241) @t7) @t248)))) % 1.12/1.37 (assume @p493 (forall @t289 (=> @t564 (= @t580 @t565)))) % 1.12/1.37 (assume @p494 (forall @t289 (=> @t564 (= (not @t566) @t578)))) % 1.12/1.37 (assume @p495 (forall @t312 (=> @t564 (or @t563 @t307)))) % 1.12/1.37 (assume @p496 (forall @t289 (=> @t567 (= @t579 (and @t566 @t483))))) % 1.12/1.37 (assume @p497 (forall @t289 (=> @t551 (= @t579 (and @t566 (not @t565)))))) % 1.12/1.37 (assume @p498 (forall @t289 (=> @t567 (= @t566 (or @t579 @t287))))) % 1.12/1.37 (assume @p499 (forall @t312 (=> @t564 (=> @t309 @t562)))) % 1.12/1.37 (assume @p500 (forall @t575 (=> @t564 (=> (not @t562) @t308)))) % 1.12/1.37 (assume @p501 (forall @t289 (=> @t564 (=> @t580 @t568)))) % 1.12/1.37 (assume @p502 (forall @t335 (=> @t567 (=> @t487 (=> @t203 @t37))))) % 1.12/1.37 (assume @p503 (forall @t335 (=> @t567 (=> @t487 (=> @t403 @t433))))) % 1.12/1.37 (assume @p504 (forall @t575 (=> @t564 (=> @t562 @t309)))) % 1.12/1.37 (assume @p505 (forall @t312 (=> @t551 (=> @t308 @t563)))) % 1.12/1.37 (assume @p506 (forall @t289 (=> @t564 (=> @t566 @t581)))) % 1.12/1.37 (assume @p507 (forall @t312 (=> @t567 (=> @t563 (or @t308 @t173))))) % 1.12/1.37 (assume @p508 (forall @t335 (=> @t567 (=> @t203 (=> @t487 @t37))))) % 1.12/1.37 (assume @p509 (forall @t426 (=> @t567 (=> @t403 (=> @t487 @t433))))) % 1.12/1.37 (assume @p510 (forall @t358 (=> @t551 (=> @t308 (=> @t574 @t585))))) % 1.12/1.37 (assume @p511 (forall @t577 (=> @t567 (=> @t307 (=> @t576 @t587))))) % 1.12/1.37 (assume @p512 (forall @t358 (=> @t551 (=> @t563 @t586)))) % 1.12/1.37 (assume @p513 (forall @t577 (=> @t567 (=> @t562 @t588)))) % 1.12/1.37 (assume @p514 (forall @t175 (=> @t172 @t594))) % 1.12/1.37 (assume @p515 (forall @t444 (=> @t311 (= (tptp.c_Polynomial_Opos__poly @t27 @t320) (or @t595 (and @t248 @t539)))))) % 1.12/1.37 (assume @p516 (forall @t335 (=> @t262 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t224 @t336) @t549)))) % 1.12/1.37 (assume @p517 (forall @t335 (=> @t596 (= @t337 @t338)))) % 1.12/1.37 (assume @p518 (not (= @t591 @t597))) % 1.12/1.37 (assume @p519 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t597)) % 1.12/1.37 (assume @p520 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t591) @t591)) % 1.12/1.37 (assume @p521 (forall @t598 (= (tptp.hAPP (tptp.hAPP @t592 @t597) @t356) @t356))) % 1.12/1.37 (assume @p522 (forall @t600 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t597 @t599) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t599)))) % 1.12/1.37 (assume @p523 (forall @t598 (= (tptp.hAPP @t601 @t597) @t356))) % 1.12/1.37 (assume @p524 (forall @t605 (= @t604 (tptp.hAPP @t603 @t356)))) % 1.12/1.37 (assume @p525 (forall @t608 (= @t607 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t98 @t606) @t591)))) % 1.12/1.37 (assume @p526 (forall @t614 (= (tptp.hAPP @t603 @t613) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t612 @t610)))) % 1.12/1.37 (assume @p527 (forall @t605 (= (tptp.hAPP (tptp.hAPP @t592 @t615) @t602) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t604)))) % 1.12/1.37 (assume @p528 (forall @t619 (= (tptp.hAPP (tptp.hAPP @t592 (tptp.hAPP @t618 @t609)) @t616) (tptp.hAPP @t618 (tptp.hAPP @t617 @t616))))) % 1.12/1.37 (assume @p529 (forall @t622 (= (tptp.hAPP (tptp.hAPP @t592 @t613) @t602) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t621 @t620)))) % 1.12/1.37 (assume @p530 (forall @t84 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t79) (= (= (tptp.hAPP (tptp.hAPP @t592 @t79) @t77) @t597) (and (= @t79 @t597) (= @t77 @t597)))))) % 1.12/1.37 (assume @p531 (forall @t129 (=> @t624 (=> @t623 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t593 @t120) (tptp.hAPP @t593 @t117)))))) % 1.12/1.37 (assume @p532 (forall @t627 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t625 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t599 @t597)) @t626))) % 1.12/1.37 (assume @p533 (forall @t628 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t602 @t602))) % 1.12/1.37 (assume @p534 (forall @t605 (or @t630 @t629))) % 1.12/1.37 (assume @p535 (forall @t561 (=> @t560 (= (tptp.c_Orderings_Oord__class_Oless @t558 @t2 @t1) (and @t559 (not (tptp.c_Orderings_Oord__class_Oless__eq @t558 @t1 @t2))))))) % 1.12/1.37 (assume @p536 (forall (@list @t625 @t599) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t599 @t625) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t599 @t625) (not (= @t599 @t625)))))) % 1.12/1.37 (assume @p537 (forall @t175 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t93 @t90) @t173 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t90 @t93)))) % 1.12/1.37 (assume @p538 (forall @t129 (=> @t631 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t117 @t119) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t120 @t119))))) % 1.12/1.37 (assume @p539 (forall @t605 (=> @t630 (=> @t629 (= @t356 @t602))))) % 1.12/1.37 (assume @p540 (forall @t263 (=> @t311 (not (tptp.c_Polynomial_Opos__poly @t27 @t232))))) % 1.12/1.37 (assume @p541 (forall @t470 (=> @t311 (=> @t633 (=> @t632 (tptp.c_Polynomial_Opos__poly @t27 @t445)))))) % 1.12/1.37 (assume @p542 (forall @t289 (=> @t311 (= (tptp.c_Orderings_Oord__class_Oless @t231 @t55 @t54) @t634)))) % 1.12/1.37 (assume @p543 (forall @t289 (=> @t311 (= (tptp.c_Orderings_Oord__class_Oless__eq @t231 @t55 @t54) (or @t287 @t634))))) % 1.12/1.37 (assume @p544 (forall @t266 (=> @t311 (or @t301 @t633 (tptp.c_Polynomial_Opos__poly @t27 @t265))))) % 1.12/1.37 (assume @p545 (forall @t369 (=> @t596 (= (tptp.hAPP @t460 @t35) @t35)))) % 1.12/1.37 (assume @p546 (forall @t115 (=> @t596 @t328))) % 1.12/1.37 (assume @p547 (forall @t635 (=> @t596 (= (tptp.hAPP @t326 @t90) @t35)))) % 1.12/1.37 (assume @p548 (forall (@list @t26 @t27) (=> @t596 (= (tptp.hAPP @t326 @t26) @t35)))) % 1.12/1.37 (assume @p549 (forall @t641 (=> @t596 (= (tptp.hAPP @t640 @t636) (tptp.c_Groups_Ominus__class_Ominus @t27 @t638 @t637))))) % 1.12/1.37 (assume @p550 (forall @t644 (=> @t596 (= (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Groups_Ominus__class_Ominus @t27 @t13 @t642)) @t26) (tptp.c_Groups_Ominus__class_Ominus @t27 @t184 @t643))))) % 1.12/1.37 (assume @p551 (forall @t649 (=> @t596 (= (tptp.hAPP @t646 @t639) (tptp.c_Groups_Ominus__class_Ominus @t27 @t648 @t647))))) % 1.12/1.37 (assume @p552 (forall @t652 (=> @t596 (= (tptp.hAPP @t183 (tptp.c_Groups_Ominus__class_Ominus @t27 @t26 @t650)) (tptp.c_Groups_Ominus__class_Ominus @t27 @t184 @t651))))) % 1.12/1.37 (assume @p553 (forall @t312 (=> @t596 (= (tptp.hAPP (tptp.hAPP @t45 @t535) @t90) (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t461))))) % 1.12/1.37 (assume @p554 (forall @t335 (=> @t596 (= @t341 @t338)))) % 1.12/1.37 (assume @p555 (forall (@list @t93 @t645 @t27) (=> @t596 (= (tptp.hAPP @t646 @t535) (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t648))))) % 1.12/1.37 (assume @p556 (forall (@list @t25 @t93) (=> @t653 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 (tptp.hAPP @t552 @t25))))) % 1.12/1.37 (assume @p557 (forall (@list @t654 @t79 @t98) (=> (not @t657) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t79 @t654) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t656 (tptp.hAPP @t655 @t654)))))) % 1.12/1.37 (assume @p558 (forall @t175 (=> @t653 (=> @t658 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 (tptp.hAPP (tptp.hAPP @t592 @t93) @t90)))))) % 1.12/1.37 (assume @p559 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t591)) % 1.12/1.37 (assume @p560 (forall @t598 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t615) @t356))) % 1.12/1.37 (assume @p561 (forall @t660 (= @t659 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t542 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t654))))) % 1.12/1.37 (assume @p562 (forall @t660 (= @t659 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t542) @t654)))) % 1.12/1.37 (assume @p563 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t597)) % 1.12/1.37 (assume @p564 (forall @t664 (and @t663 (=> (not @t662) (= @t661 @t591))))) % 1.12/1.37 (assume @p565 (forall @t289 (=> @t665 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t360 @t286) @t565)))) % 1.12/1.37 (assume @p566 (forall @t312 (=> @t665 (=> @t563 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t666 @t535))))) % 1.12/1.37 (assume @p567 (forall @t335 (=> @t667 (= (tptp.hAPP @t183 @t184) @t184)))) % 1.12/1.37 (assume @p568 (forall @t369 (=> @t667 (= @t668 @t93)))) % 1.12/1.37 (assume @p569 (forall @t115 (=> @t667 (= @t381 @t13)))) % 1.12/1.37 (assume @p570 (forall (@list @t55 @t669 @t670 @t366 @t27) (=> (tptp.class_Groups_Ominus @t27) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t672 @t670 @t669) @t55) (tptp.c_Groups_Ominus__class_Ominus @t27 @t671 (tptp.hAPP @t669 @t55)))))) % 1.12/1.37 (assume @p571 (forall @t289 (=> @t665 (= (= @t360 @t286) @t287)))) % 1.12/1.37 (assume @p572 (forall (@list @t55 @t670 @t366 @t27) (=> (tptp.class_Groups_Ouminus @t27) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t672 @t670) @t55) (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t671))))) % 1.12/1.37 (assume @p573 (forall @t369 (=> @t665 (= (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t535) @t93)))) % 1.12/1.37 (assume @p574 (forall @t175 (=> @t653 (=> @t658 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t661))))) % 1.12/1.37 (assume @p575 (forall @t664 @t663)) % 1.12/1.37 (assume @p576 (forall (@list @t93 @t229 @t25 @t27) (=> @t357 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 (tptp.hAPP (tptp.hAPP @t377 (tptp.c_Polynomial_Omonom @t27 @t50 @t25)) @t229)) @t93) (tptp.hAPP (tptp.hAPP @t45 @t95) @t372))))) % 1.12/1.37 (assume @p577 (forall @t369 (=> @t311 (and (=> @t675 (= @t673 @t232)) (=> (not @t675) (and (=> @t674 (= @t673 @t368)) (=> (not @t674) (= @t673 (tptp.c_Groups_Ouminus__class_Ouminus @t231 @t368))))))))) % 1.12/1.37 (assume @p578 (forall @t680 (=> @t679 (=> (forall @t6 (=> @t677 (tptp.hBOOL (tptp.hAPP @t163 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t542))))) (=> @t678 (forall @t6 (=> @t677 (tptp.hBOOL (tptp.hAPP @t163 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t676)))))))))) % 1.12/1.37 (assume @p579 (forall @t436 (=> @t311 (= (= @t681 @t35) @t207)))) % 1.12/1.37 (assume @p580 (forall @t263 (=> @t683 @t682))) % 1.12/1.37 (assume @p581 (forall @t335 (=> @t311 (= (tptp.c_Groups_Osgn__class_Osgn @t27 @t184) (tptp.hAPP (tptp.hAPP @t45 @t684) (tptp.c_Groups_Osgn__class_Osgn @t27 @t26)))))) % 1.12/1.37 (assume @p582 (forall @t312 (=> (tptp.class_RealVector_Oreal__normed__div__algebra @t27) (= (tptp.c_Groups_Osgn__class_Osgn @t27 @t461) (tptp.hAPP (tptp.hAPP @t45 @t685) (tptp.c_Groups_Osgn__class_Osgn @t27 @t90)))))) % 1.12/1.37 (assume @p583 (forall @t263 (=> @t686 @t682))) % 1.12/1.37 (assume @p584 (forall @t443 (=> @t686 (= (= (tptp.c_Groups_Osgn__class_Osgn @t27 @t55) @t35) @t541)))) % 1.12/1.37 (assume @p585 (forall @t115 (=> @t311 (= (tptp.c_Groups_Osgn__class_Osgn @t27 @t684) @t684)))) % 1.12/1.37 (assume @p586 (forall (@list @t56 @t77 @t206 @t27) (=> @t300 (= (= @t687 (tptp.c_Polynomial_Omonom @t27 @t56 @t77)) @t319)))) % 1.12/1.37 (assume @p587 (forall @t263 (=> (tptp.class_RealVector_Oreal__normed__algebra__1 @t27) (= (tptp.c_Groups_Osgn__class_Osgn @t27 @t50) @t50)))) % 1.12/1.37 (assume @p588 (forall @t369 (=> @t686 (= (tptp.c_Groups_Osgn__class_Osgn @t27 @t535) (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t685))))) % 1.12/1.37 (assume @p589 (forall @t436 (=> @t311 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t681) @t539)))) % 1.12/1.37 (assume @p590 (forall @t436 (=> @t311 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t681 @t35) @t434)))) % 1.12/1.37 (assume @p591 (forall @t188 (=> @t300 (= (tptp.c_Polynomial_Omonom @t27 @t35 @t25) @t232)))) % 1.12/1.37 (assume @p592 (forall @t214 (=> @t300 (= (= @t687 @t232) @t207)))) % 1.12/1.37 (assume @p593 (forall @t53 (=> @t300 (=> @t180 (= @t689 @t25))))) % 1.12/1.37 (assume @p594 (forall @t53 (=> @t300 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t689 @t25)))) % 1.12/1.37 (assume @p595 (forall @t53 (=> @t262 (= (tptp.c_Groups_Ouminus__class_Ouminus @t231 @t688) (tptp.c_Polynomial_Omonom @t27 @t224 @t25))))) % 1.12/1.37 (assume @p596 (forall @t71 (=> @t262 (= (tptp.c_Groups_Ominus__class_Ominus @t231 @t688 @t690) (tptp.c_Polynomial_Omonom @t27 @t363 @t25))))) % 1.12/1.37 (assume @p597 (forall @t436 (=> @t311 (= (= @t681 @t50) @t539)))) % 1.12/1.37 (assume @p598 (forall @t115 (=> @t311 (=> @t204 (= @t684 @t50))))) % 1.12/1.37 (assume @p599 (forall @t53 (=> @t300 (= (tptp.c_Polynomial_Omonom @t27 @t13 @t251) (tptp.c_Polynomial_OpCons @t27 @t35 @t688))))) % 1.12/1.37 (assume @p600 (forall (@list @t93 @t25 @t13 @t27) (=> @t97 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t688) @t93) (tptp.hAPP @t183 @t95))))) % 1.12/1.37 (assume @p601 (forall @t115 (=> @t300 (= (tptp.c_Polynomial_Omonom @t27 @t13 @t7) @t466)))) % 1.12/1.37 (assume @p602 (forall @t436 (=> @t311 (= (= @t681 @t223) @t434)))) % 1.12/1.37 (assume @p603 (forall @t115 (=> @t311 (=> @t427 (= @t684 @t223))))) % 1.12/1.37 (assume @p604 (forall @t369 (=> @t683 (and (=> @t692 (= @t685 @t35)) (=> (not @t692) (and (=> @t691 (= @t685 @t50)) (=> (not @t691) (= @t685 @t223)))))))) % 1.12/1.37 (assume @p605 (forall (@list @t241 @t206 @t27 @t599 @t2 @t366) (=> @t698 (=> @t697 (= @t695 (tptp.hAPP @t694 @t693)))))) % 1.12/1.37 (assume @p606 (forall (@list @t217 @t229 @t27) (=> @t378 (= (tptp.c_Polynomial_Odegree @t27 @t699) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t264 @t41))))) % 1.12/1.37 (assume @p607 (forall @t243 (=> @t378 (= (= (tptp.c_Polynomial_Osynthetic__div @t27 @t241 @t239) @t232) (= @t700 @t7))))) % 1.12/1.37 (assume @p608 (forall (@list @t217 @t27) (=> @t378 (= (tptp.c_Polynomial_Osynthetic__div @t27 @t232 @t217) @t232)))) % 1.12/1.37 (assume @p609 (forall (@list @t217 @t229 @t13 @t27) (=> @t378 (= (tptp.c_Polynomial_Osynthetic__div @t27 @t298 @t217) (tptp.c_Polynomial_OpCons @t27 @t701 @t699))))) % 1.12/1.37 (assume @p610 (forall (@list @t27 @t599 @t2 @t366) (=> @t698 (=> @t697 (= (tptp.c_Polynomial_Opoly__rec @t27 @t366 @t599 @t2 @t696) @t599))))) % 1.12/1.37 (assume @p611 (forall (@list @t241 @t206 @t2 @t599 @t27 @t366) (=> @t698 (= @t695 (tptp.hAPP @t694 (tptp.c_If @t27 (tptp.c_fequal @t241 @t696) @t599 @t693)))))) % 1.12/1.37 (assume @p612 (forall (@list @t120) (and (=> @t704 (= @t702 @t591)) (=> (not @t704) (and (=> @t703 (= @t702 @t597)) (=> (not @t703) (= @t702 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t597)))))))) % 1.12/1.37 (assume @p613 (forall (@list @t229 @t217 @t27) (=> @t357 (= (tptp.c_Groups_Oplus__class_Oplus @t231 (tptp.hAPP (tptp.hAPP @t377 (tptp.c_Polynomial_OpCons @t27 (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t217) @t233)) @t699) (tptp.c_Polynomial_OpCons @t27 @t701 @t232)) @t229)))) % 1.12/1.37 (assume @p614 (forall @t448 (=> @t300 (=> @t507 (=> @t707 (or @t301 @t504)))))) % 1.12/1.37 (assume @p615 (forall (@list @t708) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t709) (= @t709 (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t709 @t41)))))) % 1.12/1.37 (assume @p616 (forall @t717 (=> @t716 (= (tptp.hAPP @t712 (tptp.c_Groups_Oplus__class_Oplus @t366 @t26 @t217)) (tptp.c_Groups_Oplus__class_Oplus @t366 @t714 @t713))))) % 1.12/1.37 (assume @p617 (forall @t720 (=> @t716 (= (tptp.hAPP (tptp.hAPP @t711 (tptp.c_Groups_Oplus__class_Oplus @t366 @t13 @t26)) @t710) (tptp.c_Groups_Oplus__class_Oplus @t366 @t719 @t718))))) % 1.12/1.37 (assume @p618 (forall @t436 (=> @t540 (= (= @t721 @t35) @t207)))) % 1.12/1.37 (assume @p619 (forall (@list @t305 @t361 @t229 @t27) (=> @t378 (= (tptp.hAPP (tptp.hAPP @t377 @t723) @t305) (tptp.c_Groups_Oplus__class_Oplus @t231 (tptp.hAPP @t380 @t305) (tptp.hAPP @t722 @t305)))))) % 1.12/1.37 (assume @p620 (forall @t358 (=> @t97 (= (tptp.hAPP @t460 (tptp.c_Groups_Oplus__class_Oplus @t27 @t90 @t356)) (tptp.c_Groups_Oplus__class_Oplus @t27 @t461 (tptp.hAPP @t460 @t356)))))) % 1.12/1.37 (assume @p621 (forall @t546 (=> @t725 (= (and (not @t319) (not @t543)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t413 (tptp.hAPP @t344 @t542)) (tptp.c_Groups_Oplus__class_Oplus @t27 @t724 @t412))))))) % 1.12/1.37 (assume @p622 (forall @t316 (=> @t97 @t728))) % 1.12/1.37 (assume @p623 (forall (@list @t26 @t43 @t13 @t27) (=> @t97 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t729 (tptp.hAPP @t345 @t43)) (tptp.hAPP @t727 @t43))))) % 1.12/1.37 (assume @p624 (forall (@list @t599 @t55 @t54 @t625 @t27) (=> @t725 (= (= (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t730 @t54) (tptp.hAPP @t441 @t599)) (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t730 @t599) (tptp.hAPP @t441 @t54))) (or (= @t625 @t55) (= @t54 @t599)))))) % 1.12/1.37 (assume @p625 (forall @t548 (=> @t725 (= (= @t56 @t731) @t207)))) % 1.12/1.37 (assume @p626 (forall @t115 (=> @t97 @t732))) % 1.12/1.37 (assume @p627 (forall @t115 (=> @t97 @t733))) % 1.12/1.37 (assume @p628 (forall @t316 (=> (tptp.class_Rings_Ocomm__semiring @t27) @t728))) % 1.12/1.37 (assume @p629 (forall (@list @t217 @t26 @t734 @t13 @t27) (=> (tptp.class_Rings_Osemiring @t27) (= (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t183 @t734) (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t345 @t734) @t217)) (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t727 @t734) @t217))))) % 1.12/1.37 (assume @p630 (forall @t470 (=> @t311 (=> @t633 (=> @t632 (tptp.c_Polynomial_Opos__poly @t27 @t723)))))) % 1.12/1.37 (assume @p631 (forall @t641 (=> @t596 (= (tptp.hAPP (tptp.hAPP @t45 @t735) @t636) (tptp.c_Groups_Oplus__class_Oplus @t27 @t638 @t637))))) % 1.12/1.37 (assume @p632 (forall @t644 (=> @t596 (= (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 @t642)) @t26) (tptp.c_Groups_Oplus__class_Oplus @t27 @t184 @t643))))) % 1.12/1.37 (assume @p633 (forall @t649 (=> @t596 (= (tptp.hAPP @t646 @t735) (tptp.c_Groups_Oplus__class_Oplus @t27 @t648 @t647))))) % 1.12/1.37 (assume @p634 (forall @t652 (=> @t596 (= (tptp.hAPP @t183 (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 @t650)) (tptp.c_Groups_Oplus__class_Oplus @t27 @t184 @t651))))) % 1.12/1.37 (assume @p635 (forall @t379 (=> @t736 (= (tptp.c_Groups_Oplus__class_Oplus @t231 @t232 @t361) @t361)))) % 1.12/1.37 (assume @p636 (forall @t266 (=> @t736 (= (tptp.c_Groups_Oplus__class_Oplus @t231 @t229 @t232) @t229)))) % 1.12/1.37 (assume @p637 (forall @t115 (=> @t736 @t732))) % 1.12/1.37 (assume @p638 (forall @t115 (=> @t737 @t732))) % 1.12/1.37 (assume @p639 (forall @t436 (=> @t540 (= (= @t35 @t721) @t207)))) % 1.12/1.37 (assume @p640 (forall @t115 (=> @t736 @t733))) % 1.12/1.37 (assume @p641 (forall @t115 (=> @t737 @t733))) % 1.12/1.37 (assume @p642 (forall @t316 (=> @t97 (=> @t315 (=> @t313 (tptp.c_Rings_Odvd__class_Odvd @t27 @t13 @t738)))))) % 1.12/1.37 (assume @p643 (forall @t316 (=> (tptp.class_Groups_Oab__semigroup__add @t27) @t740))) % 1.12/1.37 (assume @p644 (forall @t745 (=> @t744 (= (= @t743 @t742) @t741)))) % 1.12/1.37 (assume @p645 (forall (@list @t239 @t206 @t56 @t27) (=> @t744 (= (= @t731 @t746) @t741)))) % 1.12/1.37 (assume @p646 (forall @t316 (=> @t744 @t748))) % 1.12/1.37 (assume @p647 (forall @t316 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t27) @t748))) % 1.12/1.37 (assume @p648 (forall @t404 (=> @t744 (=> (= @t750 @t749) @t494)))) % 1.12/1.37 (assume @p649 (forall @t323 (=> @t300 (= @t318 (forall @t753 (= (tptp.hAPP @t752 @t751) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t27 @t317) @t751))))))) % 1.12/1.37 (assume @p650 (forall @t289 (=> @t300 (= (= (tptp.c_Polynomial_Ocoeff @t27 @t55) (tptp.c_Polynomial_Ocoeff @t27 @t54)) @t287)))) % 1.12/1.37 (assume @p651 (forall @t756 (=> @t736 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t27 @t723) @t25) (tptp.c_Groups_Oplus__class_Oplus @t27 @t706 @t755))))) % 1.12/1.37 (assume @p652 (forall @t365 (=> @t736 (= (tptp.c_Groups_Oplus__class_Oplus @t231 @t298 @t364) (tptp.c_Polynomial_OpCons @t27 @t726 @t723))))) % 1.12/1.37 (assume @p653 (forall @t374 (=> @t378 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t723) @t93) (tptp.c_Groups_Oplus__class_Oplus @t27 @t372 @t370))))) % 1.12/1.37 (assume @p654 (forall (@list @t217 @t13 @t27) (=> @t97 (= @t747 @t749)))) % 1.12/1.37 (assume @p655 (forall @t759 (=> @t97 (= @t758 (tptp.c_Groups_Oplus__class_Oplus @t27 @t217 (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 @t350)))))) % 1.12/1.37 (assume @p656 (forall @t759 (=> @t97 (= @t758 (tptp.c_Groups_Oplus__class_Oplus @t27 @t747 @t350))))) % 1.12/1.37 (assume @p657 (forall @t316 (=> @t97 @t740))) % 1.12/1.37 (assume @p658 (forall @t316 (=> @t97 (= @t739 (tptp.c_Groups_Oplus__class_Oplus @t27 @t747 @t26))))) % 1.12/1.37 (assume @p659 (forall @t353 (=> @t97 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t726 @t757) (tptp.c_Groups_Oplus__class_Oplus @t27 @t747 @t760))))) % 1.12/1.37 (assume @p660 (forall @t767 (=> @t766 (= @t765 @t763)))) % 1.12/1.37 (assume @p661 (forall (@list @t55 @t625 @t27) (=> @t769 (= (= @t768 @t55) (= @t55 @t768))))) % 1.12/1.37 (assume @p662 (forall @t767 (=> @t766 (= @t763 @t765)))) % 1.12/1.37 (assume @p663 (forall @t289 (=> (and @t766 @t321) (= (= @t771 @t770) @t287)))) % 1.12/1.37 (assume @p664 (forall @t772 (=> @t766 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t762 (tptp.c_Groups_Oplus__class_Oplus @t27 @t761 @t356)) (tptp.c_Groups_Oplus__class_Oplus @t27 @t765 @t356))))) % 1.12/1.37 (assume @p665 (forall @t414 (=> @t774 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t742 @t773) @t449)))) % 1.12/1.37 (assume @p666 (forall @t419 (=> @t774 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t746 @t775) @t449)))) % 1.12/1.37 (assume @p667 (forall @t316 (=> @t777 (=> @t203 @t776)))) % 1.12/1.37 (assume @p668 (forall @t316 (=> @t777 (=> @t203 @t779)))) % 1.12/1.37 (assume @p669 (forall @t353 (=> @t777 (=> @t203 (=> @t406 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t747 @t760)))))) % 1.12/1.37 (assume @p670 (forall @t349 (=> @t774 (=> @t776 @t203)))) % 1.12/1.37 (assume @p671 (forall @t458 (=> @t774 (=> @t779 @t203)))) % 1.12/1.37 (assume @p672 (forall @t414 (=> @t774 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t742 @t773) @t409)))) % 1.12/1.37 (assume @p673 (forall @t419 (=> @t774 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t746 @t775) @t409)))) % 1.12/1.37 (assume @p674 (forall @t316 (=> @t781 (=> @t37 @t780)))) % 1.12/1.37 (assume @p675 (forall @t316 (=> @t781 (=> @t37 @t782)))) % 1.12/1.37 (assume @p676 (forall @t353 (=> @t781 (=> @t37 @t784)))) % 1.12/1.37 (assume @p677 (forall @t349 (=> @t774 (=> @t780 @t37)))) % 1.12/1.37 (assume @p678 (forall @t458 (=> @t774 (=> @t782 @t37)))) % 1.12/1.37 (assume @p679 (forall (@list @t602 @t217 @t708 @t27) (=> @t766 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t762 (tptp.c_Groups_Ominus__class_Ominus @t27 @t217 @t761)) (tptp.c_Groups_Oplus__class_Oplus @t27 @t787 @t217))))) % 1.12/1.37 (assume @p680 (forall @t335 (=> @t537 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t224 @t726) @t26)))) % 1.12/1.37 (assume @p681 (forall @t335 (=> @t537 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 (tptp.c_Groups_Oplus__class_Oplus @t27 @t224 @t26)) @t26)))) % 1.12/1.37 (assume @p682 (forall @t335 (=> @t537 (= @t788 (tptp.c_Groups_Oplus__class_Oplus @t27 @t336 @t224))))) % 1.12/1.37 (assume @p683 (forall @t335 (=> @t262 (= @t788 (tptp.c_Groups_Oplus__class_Oplus @t27 @t224 @t336))))) % 1.12/1.37 (assume @p684 (forall @t71 (=> @t736 (= (tptp.c_Groups_Oplus__class_Oplus @t231 @t688 @t690) (tptp.c_Polynomial_Omonom @t27 @t726 @t25))))) % 1.12/1.37 (assume @p685 (forall @t335 (=> @t537 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t726 @t26) @t13)))) % 1.12/1.37 (assume @p686 (forall @t335 (=> @t537 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t363 @t26) @t13)))) % 1.12/1.37 (assume @p687 (forall (@list @t217 @t602 @t708 @t27) (=> @t766 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t762 (tptp.c_Groups_Ominus__class_Ominus @t27 @t761 @t217)) (tptp.c_Groups_Ominus__class_Ominus @t27 @t765 @t217))))) % 1.12/1.37 (assume @p688 (forall (@list @t625 @t789 @t27) (=> (and @t769 @t564) (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t790 @t768) (not (tptp.c_Orderings_Oord__class_Oless @t27 @t768 @t790)))))) % 1.12/1.37 (assume @p689 (forall @t720 (=> @t791 (= (tptp.hAPP (tptp.hAPP @t711 (tptp.c_Groups_Ominus__class_Ominus @t366 @t13 @t26)) @t710) (tptp.c_Groups_Ominus__class_Ominus @t366 @t719 @t718))))) % 1.12/1.37 (assume @p690 (forall @t717 (=> @t791 (= (tptp.hAPP @t712 (tptp.c_Groups_Ominus__class_Ominus @t366 @t26 @t217)) (tptp.c_Groups_Ominus__class_Ominus @t366 @t714 @t713))))) % 1.12/1.37 (assume @p691 (forall @t289 (=> @t792 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t771 @t770) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t55 @t54))))) % 1.12/1.37 (assume @p692 (forall @t436 (=> @t540 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t721) @t386)))) % 1.12/1.37 (assume @p693 (forall @t436 (=> @t540 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t721 @t35) @t384)))) % 1.12/1.37 (assume @p694 (forall @t335 (=> @t793 (=> @t36 (=> @t70 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t726)))))) % 1.12/1.37 (assume @p695 (forall @t289 (=> @t793 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t55) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t54) (= @t796 @t795)))))) % 1.12/1.37 (assume @p696 (forall @t316 (=> @t793 (=> @t36 (=> @t571 @t797))))) % 1.12/1.37 (assume @p697 (forall @t798 (=> @t793 (=> @t395 (=> @t403 @t797))))) % 1.12/1.37 (assume @p698 (forall @t335 (=> @t793 (=> @t392 (=> @t391 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t726 @t35)))))) % 1.12/1.37 (assume @p699 (forall @t436 (=> @t311 @t799))) % 1.12/1.37 (assume @p700 (forall @t316 (=> @t38 (=> @t204 @t801)))) % 1.12/1.37 (assume @p701 (forall @t436 (=> @t540 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t721) @t539)))) % 1.12/1.37 (assume @p702 (forall @t436 (=> @t540 @t799))) % 1.12/1.37 (assume @p703 (forall @t335 (=> @t793 (=> @t204 @t803)))) % 1.12/1.37 (assume @p704 (forall @t335 (=> @t793 (=> @t427 @t805)))) % 1.12/1.37 (assume @p705 (forall @t289 (=> @t792 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t771 @t770) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t55 @t54))))) % 1.12/1.37 (assume @p706 (forall @t353 (=> @t781 (=> @t37 (=> @t406 @t783))))) % 1.12/1.37 (assume @p707 (forall @t353 (=> @t781 (=> @t203 @t784)))) % 1.12/1.37 (assume @p708 (forall (@list @t350 @t217 @t26 @t13 @t305 @t27) (=> @t725 (=> (not (= @t305 @t35)) (=> (and @t69 (not (= @t217 @t350))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 (tptp.hAPP @t806 @t217)) (tptp.c_Groups_Oplus__class_Oplus @t27 @t26 (tptp.hAPP @t806 @t350))))))))) % 1.12/1.37 (assume @p709 (forall @t289 (=> @t387 (= (= @t807 @t35) @t795)))) % 1.12/1.37 (assume @p710 (forall @t772 (=> @t766 (= (tptp.hAPP @t810 (tptp.hAPP (tptp.hAPP @t45 @t761) @t356)) (tptp.hAPP (tptp.hAPP @t45 @t809) @t356))))) % 1.12/1.37 (assume @p711 (forall @t767 (=> @t766 (= @t811 @t809)))) % 1.12/1.37 (assume @p712 (forall @t767 (=> @t766 (= @t809 @t811)))) % 1.12/1.37 (assume @p713 (forall @t115 (=> @t38 (tptp.c_Orderings_Oord__class_Oless @t27 @t13 @t812)))) % 1.12/1.37 (assume @p714 (forall @t289 (=> @t537 (= @t796 (= @t54 @t360))))) % 1.12/1.37 (assume @p715 (forall @t115 (=> @t537 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 @t224) @t35)))) % 1.12/1.37 (assume @p716 (forall @t331 (=> @t537 (= @t343 (= @t743 @t35))))) % 1.12/1.37 (assume @p717 (forall @t115 (=> @t537 @t813))) % 1.12/1.37 (assume @p718 (forall @t115 (=> @t262 @t813))) % 1.12/1.37 (assume @p719 (forall @t335 (=> @t537 (=> (= @t726 @t35) (= @t224 @t26))))) % 1.12/1.37 (assume @p720 (forall (@list @t43 @t27) (=> @t97 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t43 @t43) (tptp.hAPP (tptp.hAPP @t45 @t814) @t43))))) % 1.12/1.37 (assume @p721 (forall (@list @t13 @t43 @t27) (=> @t97 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t43 @t729) @t815)))) % 1.12/1.37 (assume @p722 (forall (@list @t43 @t13 @t27) (=> @t97 (= (tptp.c_Groups_Oplus__class_Oplus @t27 @t729 @t43) @t815)))) % 1.12/1.37 (assume @p723 (forall @t820 (=> @t339 (= @t819 (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t460 @t818) @t817))))) % 1.12/1.37 (assume @p724 (forall @t826 (=> @t339 (= @t825 (= @t239 @t822))))) % 1.12/1.37 (assume @p725 (forall @t826 (=> @t339 (= @t825 (= @t827 @t542))))) % 1.12/1.37 (assume @p726 (forall @t820 (=> @t596 (= @t819 (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.hAPP @t816 @t818) @t817) (tptp.hAPP @t183 @t818)))))) % 1.12/1.37 (assume @p727 (forall @t312 (=> @t357 (= @t639 (tptp.c_Groups_Oplus__class_Oplus @t27 @t93 @t666))))) % 1.12/1.37 (assume @p728 (forall @t335 (=> @t537 @t828))) % 1.12/1.37 (assume @p729 (forall @t335 (=> @t262 @t828))) % 1.12/1.37 (assume @p730 (forall @t335 (=> @t537 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t13 @t336) @t726)))) % 1.12/1.37 (assume @p731 (forall @t767 (=> @t766 (= (tptp.c_Int_Onumber__class_Onumber__of @t27 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t708 @t602)) @t829)))) % 1.12/1.37 (assume @p732 (forall @t832 (=> @t766 (= @t831 @t830)))) % 1.12/1.37 (assume @p733 (forall @t832 (=> @t766 (= @t830 @t831)))) % 1.12/1.37 (assume @p734 (forall @t188 (=> @t300 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t27 @t232) @t25) @t35)))) % 1.12/1.37 (assume @p735 (forall @t238 (=> @t300 (= (tptp.hAPP @t833 @t7) @t13)))) % 1.12/1.37 (assume @p736 (forall (@list @t25 @t229 @t13 @t27) (=> @t300 (= (tptp.hAPP @t833 @t251) @t706)))) % 1.12/1.37 (assume @p737 (forall (@list @t229 @t361 @t27) (=> @t736 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t467 @t264) (= @t834 @t264))))) % 1.12/1.37 (assume @p738 (forall @t470 (=> @t736 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t264 @t467) (= @t834 @t467))))) % 1.12/1.37 (assume @p739 (forall @t505 (=> @t736 (=> @t504 (=> @t503 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t834 @t25)))))) % 1.12/1.37 (assume @p740 (forall @t505 (=> @t736 (=> @t507 (=> @t506 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t834 @t25)))))) % 1.12/1.37 (assume @p741 (forall @t140 (=> @t300 (and (=> @t168 (= @t836 @t13)) (=> @t169 (= @t836 @t35)))))) % 1.12/1.37 (assume @p742 (forall @t448 (=> @t262 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t27 @t265) @t25) (tptp.c_Groups_Ouminus__class_Ouminus @t27 @t706))))) % 1.12/1.37 (assume @p743 (forall @t756 (=> @t262 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t27 @t362) @t25) (tptp.c_Groups_Ominus__class_Ominus @t27 @t706 @t755))))) % 1.12/1.37 (assume @p744 (forall @t470 (=> @t237 (=> (= @t838 @t837) (=> @t469 (=> (tptp.c_Rings_Odvd__class_Odvd @t231 @t361 @t229) (= @t229 @t361))))))) % 1.12/1.37 (assume @p745 (forall @t335 (=> @t793 (=> @t204 (=> @t70 @t802))))) % 1.12/1.37 (assume @p746 (forall @t335 (=> @t793 (=> @t36 @t803)))) % 1.12/1.37 (assume @p747 (forall @t316 (=> @t793 (=> @t204 (=> @t571 @t800))))) % 1.12/1.37 (assume @p748 (forall @t316 (=> @t793 (=> @t36 @t801)))) % 1.12/1.37 (assume @p749 (forall @t335 (=> @t793 (=> @t427 (=> @t391 @t804))))) % 1.12/1.37 (assume @p750 (forall @t335 (=> @t793 (=> @t392 @t805)))) % 1.12/1.37 (assume @p751 (forall @t312 (=> @t382 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t35 @t839)))) % 1.12/1.37 (assume @p752 (forall @t289 (=> @t387 (= (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t807 @t35) @t795)))) % 1.12/1.37 (assume @p753 (forall @t312 (=> @t382 (not (tptp.c_Orderings_Oord__class_Oless @t27 @t839 @t35))))) % 1.12/1.37 (assume @p754 (forall @t289 (=> @t387 (= (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t807) (or (not @t541) (not @t794)))))) % 1.12/1.37 (assume @p755 (forall @t263 (=> @t38 (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t814)))) % 1.12/1.37 (assume @p756 (forall @t826 (=> @t393 (= @t840 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t239 @t822))))) % 1.12/1.37 (assume @p757 (forall @t826 (=> @t393 (= @t840 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t827 @t542))))) % 1.12/1.37 (assume @p758 (forall @t826 (=> @t393 (= @t841 (tptp.c_Orderings_Oord__class_Oless @t27 @t239 @t822))))) % 1.12/1.37 (assume @p759 (forall @t826 (=> @t393 (= @t841 (tptp.c_Orderings_Oord__class_Oless @t27 @t827 @t542))))) % 1.12/1.37 (assume @p760 (forall (@list @t606 @t163 @t27) (=> (and @t354 @t221) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t163 (tptp.hAPP (tptp.hAPP @t45 @t606) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t27 @t606 (tptp.c_Groups_Oplus__class_Oplus @t27 @t3 @t35)) @t677)))))) % 1.12/1.37 (assume @p761 (forall @t369 (=> @t225 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t668 @t50) (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Groups_Oplus__class_Oplus @t27 @t93 @t50)) (tptp.c_Groups_Ominus__class_Ominus @t27 @t93 @t50)))))) % 1.12/1.37 (assume @p762 (forall (@list @t356 @t602 @t27) (=> @t766 (= (tptp.hAPP (tptp.hAPP @t45 @t830) @t356) (tptp.hAPP (tptp.hAPP @t45 @t831) @t356))))) % 1.12/1.37 (assume @p763 (forall (@list @t654 @t842 @t542 @t27) (=> (and @t373 @t354) (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t542 @t842) (forall (@list @t3 @t244) (= (tptp.c_Rings_Odvd__class_Odvd @t27 @t542 (tptp.c_Groups_Oplus__class_Oplus @t27 @t3 @t654)) (tptp.c_Rings_Odvd__class_Odvd @t27 @t542 (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.c_Groups_Ominus__class_Ominus @t27 @t3 (tptp.hAPP (tptp.hAPP @t45 @t244) @t842)) @t654)))))))) % 1.12/1.37 (assume @p764 (forall (@list @t625 @t206 @t27) (=> @t213 (= (= (tptp.hAPP @t208 @t843) @t35) (and @t207 (not @t844)))))) % 1.12/1.37 (assume @p765 (forall @t448 (=> @t300 (=> @t504 @t707)))) % 1.12/1.37 (assume @p766 (forall @t448 (=> @t300 (=> (not @t707) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t264))))) % 1.12/1.37 (assume @p767 (forall @t376 (=> @t300 (= (= @t845 @t35) @t248)))) % 1.12/1.37 (assume @p768 (forall @t266 (=> @t300 (=> @t302 (not (= @t838 @t35)))))) % 1.12/1.37 (assume @p769 (forall (@list @t93 @t229 @t13 @t27) (=> @t378 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t27 @t298) @t93) (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 (tptp.hAPP @t460 @t372)))))) % 1.12/1.37 (assume @p770 (forall (@list @t625 @t55) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 (tptp.hAPP @t148 @t843)) (or @t844 @t147)))) % 1.12/1.37 (assume @p771 (forall @t851 (=> (tptp.class_Rings_Olinordered__semiring__1 @t27) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t93 @t13) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t90 @t13) (=> @t850 (=> @t849 (=> @t848 (tptp.c_Orderings_Oord__class_Oless__eq @t27 @t847 @t13))))))))) % 1.12/1.37 (assume @p772 (forall @t832 (=> @t222 (and (=> @t854 (= @t853 @t50)) (=> (not @t854) (= @t853 @t35)))))) % 1.12/1.37 (assume @p773 (forall @t188 (=> @t97 (and (=> @t48 (= @t855 @t50)) (=> @t49 (= @t855 @t35)))))) % 1.12/1.37 (assume @p774 (forall @t376 (=> @t311 (= @t595 (tptp.c_Orderings_Oord__class_Oless @t27 @t35 @t845))))) % 1.12/1.37 (assume @p775 (forall @t53 (=> @t97 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t27 @t247) @t25) @t50)))) % 1.12/1.37 (assume @p776 (forall @t851 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t27) (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t93 @t13) (=> (tptp.c_Orderings_Oord__class_Oless @t27 @t90 @t13) (=> @t850 (=> @t849 (=> @t848 (tptp.c_Orderings_Oord__class_Oless @t27 @t847 @t13))))))))) % 1.12/1.37 (assume @p777 (forall (@list @t361 @t229 @t13 @t27) (=> @t378 (= (tptp.c_Polynomial_Opcompose @t27 @t298 @t361) (tptp.c_Groups_Oplus__class_Oplus @t231 @t466 (tptp.hAPP @t722 @t554)))))) % 1.12/1.37 (assume @p778 (forall @t312 (=> @t357 (= (tptp.c_Groups_Ominus__class_Ominus @t27 (tptp.hAPP @t94 @t288) (tptp.hAPP @t91 @t288)) (tptp.hAPP @t640 @t735))))) % 1.12/1.37 (assume @p779 (forall (@list @t856 @t317 @t54 @t55 @t27) (=> @t860 (= (tptp.c_Polynomial_Opdivmod__rel @t27 @t55 @t54 @t317 @t856) (and (= @t55 (tptp.c_Groups_Oplus__class_Oplus @t231 (tptp.hAPP (tptp.hAPP @t377 @t317) @t54) @t856)) (=> @t858 @t859) (=> (not @t858) (or @t857 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t27 @t856) (tptp.c_Polynomial_Odegree @t27 @t54))))))))) % 1.12/1.37 (assume @p780 (forall (@list @t350 @t26 @t217 @t13 @t27) (=> @t262 (= (tptp.c_Groups_Ominus__class_Ominus @t27 @t747 @t760) (tptp.c_Groups_Oplus__class_Oplus @t27 @t363 (tptp.c_Groups_Ominus__class_Ominus @t27 @t217 @t350)))))) % 1.12/1.37 (assume @p781 (forall (@list @t229 @t25 @t27) (=> @t300 (=> (forall @t862 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25 @t861) (= (tptp.hAPP @t705 @t861) @t35))) @t507)))) % 1.12/1.37 (assume @p782 (forall @t614 (= (tptp.hAPP @t603 @t863) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t612 @t610)))) % 1.12/1.37 (assume @p783 (forall @t866 (= (tptp.hAPP (tptp.hAPP @t592 @t865) @t864) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t808)))) % 1.12/1.37 (assume @p784 (forall @t622 (= (tptp.hAPP (tptp.hAPP @t592 @t863) @t602) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t621 @t620)))) % 1.12/1.37 (assume @p785 (forall @t598 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t356 @t591) @t356))) % 1.12/1.37 (assume @p786 (forall @t598 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t591 @t356) @t356))) % 1.12/1.37 (assume @p787 (forall @t40 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t7 @t25) @t25))) % 1.12/1.37 (assume @p788 (forall @t113 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t7) @t43))) % 1.12/1.37 (assume @p789 (forall @t84 (= (= @t867 @t7) (and @t112 @t111)))) % 1.12/1.37 (assume @p790 (forall @t89 (=> (= @t868 @t43) @t48))) % 1.12/1.37 (assume @p791 (forall @t138 (= (tptp.hAPP @t126 @t868) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t137 @t136)))) % 1.12/1.37 (assume @p792 (forall @t135 (= (tptp.hAPP (tptp.hAPP @t76 @t868) @t119) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t133 @t132)))) % 1.12/1.37 (assume @p793 (forall (@list @t119 @t117 @t846 @t120) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t871 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t870 @t119)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t76 @t869) @t846) @t119)))) % 1.12/1.37 (assume @p794 (forall (@list @t77 @t98) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t98 @t872) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t98 @t77)))) % 1.12/1.37 (assume @p795 (forall @t89 (= @t874 @t873))) % 1.12/1.37 (assume @p796 (forall @t89 (= @t874 @t875))) % 1.12/1.37 (assume @p797 (forall @t89 (= @t873 @t875))) % 1.12/1.37 (assume @p798 (forall @t605 (= @t877 @t876))) % 1.12/1.37 (assume @p799 (forall @t497 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t93 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t90 @t356)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t90 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t93 @t356))))) % 1.12/1.37 (assume @p800 (forall @t866 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t865 @t864) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t764)))) % 1.12/1.37 (assume @p801 (forall @t619 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t863 @t616) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t611 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t609 @t616))))) % 1.12/1.37 (assume @p802 (forall @t880 (=> @t879 (not (=> @t62 (not @t201)))))) % 1.12/1.37 (assume @p803 (forall @t880 (=> @t879 @t62))) % 1.12/1.37 (assume @p804 (forall @t880 (=> @t879 @t201))) % 1.12/1.37 (assume @p805 (forall @t125 (=> @t124 (=> @t123 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t882 @t881))))) % 1.12/1.37 (assume @p806 (forall @t129 (=> @t124 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t882 @t883)))) % 1.12/1.37 (assume @p807 (forall @t885 (=> @t124 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t120 @t884)))) % 1.12/1.37 (assume @p808 (forall @t885 (=> @t124 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t120 @t886)))) % 1.12/1.37 (assume @p809 (forall @t110 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t888 @t887) @t159))) % 1.12/1.37 (assume @p810 (forall @t84 (= @t159 (exists @t246 (= @t77 @t889))))) % 1.12/1.37 (assume @p811 (forall @t171 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t890))) % 1.12/1.37 (assume @p812 (forall @t171 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25 @t868))) % 1.12/1.37 (assume @p813 (forall @t893 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t93 @t356) @t892))) % 1.12/1.37 (assume @p814 (forall @t497 (=> @t594 @t892))) % 1.12/1.37 (assume @p815 (forall @t893 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t93 @t356) @t894))) % 1.12/1.37 (assume @p816 (forall @t497 (=> @t172 @t894))) % 1.12/1.37 (assume @p817 (forall @t129 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t869 @t119) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t120 @t119)))) % 1.12/1.37 (assume @p818 (forall (@list @t25 @t43 @t116 @t119) (=> @t896 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t116) @t895) @t141)))) % 1.12/1.37 (assume @p819 (forall @t125 (=> @t152 (=> @t896 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t882 @t881))))) % 1.12/1.37 (assume @p820 (forall @t129 (=> @t152 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t882 @t883)))) % 1.12/1.37 (assume @p821 (forall @t885 (=> @t152 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t120 @t884)))) % 1.12/1.37 (assume @p822 (forall @t885 (=> @t152 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t120 @t886)))) % 1.12/1.37 (assume @p823 (forall @t110 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t888 @t887) @t153))) % 1.12/1.37 (assume @p824 (forall (@list @t120 @t117) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t897 @t120)))) % 1.12/1.37 (assume @p825 (forall (@list @t117 @t120) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t869 @t120)))) % 1.12/1.37 (assume @p826 (forall @t129 (=> @t631 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t119 @t120) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t119 @t117))))) % 1.12/1.37 (assume @p827 (forall @t129 (=> @t624 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t120 @t119) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t117 @t119))))) % 1.12/1.37 (assume @p828 (forall @t608 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t899 @t898) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t98 @t606)))) % 1.12/1.37 (assume @p829 (forall @t608 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t899 @t898) @t607))) % 1.12/1.37 (assume @p830 (forall @t866 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t865 @t864) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t786)))) % 1.12/1.37 (assume @p831 (forall @t628 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t864) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t785)))) % 1.12/1.37 (assume @p832 (forall @t605 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t877) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t615 @t785)))) % 1.12/1.37 (assume @p833 (forall @t880 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t878 @t900) @t134))) % 1.12/1.37 (assume @p834 (forall @t138 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t901 @t895) @t134))) % 1.12/1.37 (assume @p835 (forall @t129 (= @t178 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t120 @t883)))) % 1.12/1.37 (assume @p836 (forall @t171 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t890 @t25) @t43))) % 1.12/1.37 (assume @p837 (forall @t89 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t868 @t25) @t43))) % 1.12/1.37 (assume @p838 (forall (@list @t856 @t317 @t54 @t27) (=> @t860 (= (tptp.c_Polynomial_Opdivmod__rel @t27 @t232 @t54 @t317 @t856) (and @t859 @t857))))) % 1.12/1.37 (assume @p839 (forall (@list @t856 @t317 @t55 @t27) (=> @t860 (= (tptp.c_Polynomial_Opdivmod__rel @t27 @t55 @t232 @t317 @t856) (and @t859 (= @t856 @t55)))))) % 1.12/1.37 (assume @p840 (forall @t635 (=> @t860 (tptp.c_Polynomial_Opdivmod__rel @t27 @t232 @t90 @t232 @t232)))) % 1.12/1.37 (assume @p841 (forall @t369 (=> @t860 (tptp.c_Polynomial_Opdivmod__rel @t27 @t93 @t232 @t232 @t93)))) % 1.12/1.37 (assume @p842 (forall @t910 (=> @t860 (=> @t909 (=> @t908 (and @t907 @t904)))))) % 1.12/1.37 (assume @p843 (forall @t910 (=> @t860 (=> @t909 (=> @t908 @t904))))) % 1.12/1.37 (assume @p844 (forall @t910 (=> @t860 (=> @t909 (=> @t908 @t907))))) % 1.12/1.37 (assume @p845 (forall @t64 (=> @t114 (= (tptp.hAPP @t31 @t868) (tptp.hAPP (tptp.hAPP @t45 @t63) @t32))))) % 1.12/1.37 (assume @p846 @t912) % 1.12/1.37 (assume @p847 (forall @t84 (= (= @t249 @t867) @t913))) % 1.12/1.37 (assume @p848 (forall @t84 (= (= @t867 @t249) @t913))) % 1.12/1.37 (assume @p849 (forall @t84 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7 @t867) (or @t158 @t157)))) % 1.12/1.37 (assume @p850 (forall @t175 (=> @t653 (=> @t658 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t93 @t90)))))) % 1.12/1.37 (assume @p851 (forall @t914 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t120 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t120 @t43))))) % 1.12/1.37 (assume @p852 (forall @t914 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t120 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t120))))) % 1.12/1.37 (assume @p853 (forall @t84 (= @t153 (exists @t246 (= @t77 (tptp.c_Nat_OSuc @t889)))))) % 1.12/1.37 (assume @p854 (forall @t598 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t915 @t356) @t591)))) % 1.12/1.37 (assume @p855 (forall (@list @t356 @t916 @t602 @t917) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t917 @t602) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t916 @t356) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t917 @t916) @t876))))) % 1.12/1.37 (assume @p856 (forall @t171 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t890) @t7))) % 1.12/1.37 (assume @p857 (forall @t89 (= (tptp.hAPP (tptp.hAPP @t76 @t252) @t25) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t88)))) % 1.12/1.37 (assume @p858 (forall @t89 (= (tptp.hAPP @t87 @t251) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t88)))) % 1.12/1.37 (assume @p859 (forall @t627 (= @t918 (or @t626 (= @t625 @t599))))) % 1.12/1.37 (assume @p860 (forall @t89 (=> @t278 @t920))) % 1.12/1.37 (assume @p861 (forall @t925 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t922 @t924) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t923 @t921)))) % 1.12/1.37 (assume @p862 (forall @t40 (= @t251 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 @t41)))) % 1.12/1.37 (assume @p863 (forall @t40 (= @t251 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t41 @t25)))) % 1.12/1.37 (assume @p864 (forall @t930 (=> @t929 (= @t928 @t927)))) % 1.12/1.37 (assume @p865 (forall @t930 (=> @t929 (= @t927 @t928)))) % 1.12/1.37 (assume @p866 (forall @t930 (=> @t929 (= @t932 @t931)))) % 1.12/1.37 (assume @p867 (forall @t925 (=> @t934 (= (= @t933 @t98) (= @t921 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t922)))))) % 1.12/1.37 (assume @p868 (forall @t171 (=> @t139 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t134 @t25) @t43)))) % 1.12/1.37 (assume @p869 (forall (@list @t922 @t921 @t98) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t921) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t922 @t924) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t923 @t921))))) % 1.12/1.37 (assume @p870 (forall @t930 (=> @t929 (= @t931 @t932)))) % 1.12/1.37 (assume @p871 @t936) % 1.12/1.37 (assume @p872 (forall (@list @t43 @t25 @t119) (=> @t201 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t43 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t890 @t119))))) % 1.12/1.37 (assume @p873 (forall (@list @t922 @t98 @t921) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t924 @t922) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t921 @t923)))) % 1.12/1.37 (assume @p874 (forall @t930 (=> @t929 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t120 @t926) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t882 @t117))))) % 1.12/1.37 (assume @p875 (forall @t598 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t615 @t356) @t591))) % 1.12/1.37 (assume @p876 (forall (@list @t239 @t654 @t55 @t542 @t206) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t206 @t542) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t206 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t55 @t654)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t206 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t55 (tptp.hAPP (tptp.hAPP @t592 @t239) @t542)) @t654)))))) % 1.12/1.37 (assume @p877 (forall (@list @t79 @t77 @t98) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t98 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t77 @t656)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t98 @t77)))) % 1.12/1.37 (assume @p878 (forall @t605 (= @t938 @t937))) % 1.12/1.37 (assume @p879 (forall @t605 (= @t937 @t938))) % 1.12/1.37 (assume @p880 (forall @t497 (= (tptp.hAPP @t552 @t891) (tptp.hAPP (tptp.hAPP @t592 @t553) (tptp.hAPP @t552 @t356))))) % 1.12/1.37 (assume @p881 (forall @t767 (=> @t766 (= @t829 @t787)))) % 1.12/1.37 (assume @p882 (forall @t946 (= @t945 (and (=> @t944 @t943) (forall @t942 (=> @t941 @t940)))))) % 1.12/1.37 (assume @p883 (forall @t946 (= @t945 (not (or (and @t944 (not @t943)) (exists @t942 (and @t941 (not @t940)))))))) % 1.12/1.37 (assume @p884 (forall @t600 (= (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 @t597 @t599) @t599) @t591) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t599 @t591)))) % 1.12/1.37 (assume @p885 (forall (@list @t356 @t602) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t602 @t356) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t602 @t597) @t356)))) % 1.12/1.37 (assume @p886 (forall @t627 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t625 @t597) @t599) @t626))) % 1.12/1.37 (assume @p887 (forall @t627 (= @t918 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t625 @t599)))) % 1.12/1.37 (assume @p888 (forall @t949 (=> @t929 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t948 @t43) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t947 @t901))))) % 1.12/1.37 (assume @p889 (forall @t949 (=> @t929 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t948) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t878 @t947))))) % 1.12/1.37 (assume @p890 (forall @t956 (=> @t955 (= @t954 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t951 @t77))))) % 1.12/1.37 (assume @p891 (forall (@list @t25 @t43 @t846 @t120 @t117) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t117 @t120) (= @t957 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t76 @t177) @t846) @t43) @t25))))) % 1.12/1.37 (assume @p892 (forall @t956 (=> @t955 (= @t958 (= @t951 @t77))))) % 1.12/1.37 (assume @p893 (forall @t960 (=> @t934 (= @t954 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t79 @t959))))) % 1.12/1.37 (assume @p894 (forall (@list @t25 @t43 @t846 @t117 @t120) (=> @t124 (= @t957 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t76 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t117 @t120)) @t846) @t25)))))) % 1.12/1.37 (assume @p895 (forall @t960 (=> @t934 (= @t958 (= @t79 @t959))))) % 1.12/1.37 (assume @p896 (forall (@list @t961 @t963 @t356 @t305 @t361 @t90 @t93 @t27) (=> @t860 (=> (tptp.c_Polynomial_Opdivmod__rel @t27 @t93 @t90 @t361 @t305) (=> (tptp.c_Polynomial_Opdivmod__rel @t27 @t361 @t356 @t963 @t961) (tptp.c_Polynomial_Opdivmod__rel @t27 @t93 (tptp.hAPP @t962 @t356) @t963 (tptp.c_Groups_Oplus__class_Oplus @t231 (tptp.hAPP @t962 @t961) @t305))))))) % 1.12/1.37 (assume @p897 (forall @t470 (=> @t378 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t965 @t964)))) % 1.12/1.37 (assume @p898 (forall @t470 (=> @t237 (=> @t302 (=> @t468 (= @t965 @t964)))))) % 1.12/1.37 (assume @p899 (forall (@list @t25 @t26 @t43 @t13 @t27) (=> @t378 (= (tptp.hAPP (tptp.hAPP @t377 @t835) @t690) (tptp.c_Polynomial_Omonom @t27 @t184 @t868))))) % 1.12/1.37 (assume @p900 (forall @t598 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t356) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t915)))) % 1.12/1.37 (assume @p901 (forall @t89 (and (=> @t86 (= @t868 @t25)) (=> @t475 (= @t868 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t471 @t25))))))) % 1.12/1.37 (assume @p902 (forall @t956 (=> @t955 (= @t966 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t951 @t77))))) % 1.12/1.37 (assume @p903 (forall @t960 (=> @t934 (= @t966 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t79 @t959))))) % 1.12/1.37 (assume @p904 (forall @t89 (and (=> @t86 (= @t88 @t7)) (=> @t475 (= @t88 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t25 (tptp.hAPP (tptp.hAPP @t76 @t471) @t25))))))) % 1.12/1.37 (assume @p905 (forall @t470 (=> @t378 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t27 @t445) @t964) (tptp.hAPP (tptp.hAPP @t45 @t838) @t837))))) % 1.12/1.37 (assume @p906 (forall @t969 (=> @t968 (=> @t967 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t305 @t13) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t597 @t361)))))) % 1.12/1.37 (assume @p907 (forall @t969 (=> @t968 (=> @t967 (=> @t970 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t361 @t597)))))) % 1.12/1.37 (assume @p908 (forall @t89 (= @t868 @t890))) % 1.12/1.37 (assume @p909 (forall @t497 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t93 @t891) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t90 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t93 @t356))))) % 1.12/1.37 (assume @p910 (forall @t135 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t868 @t119) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t43 @t900)))) % 1.12/1.37 (assume @p911 (forall @t110 (= (= @t888 @t887) @t100))) % 1.12/1.37 (assume @p912 (forall @t105 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t79 @t98) @t872) @t100))) % 1.12/1.37 (assume @p913 (forall @t250 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t119) @t119))) % 1.12/1.37 (assume @p914 (forall @t975 (=> @t974 (=> @t972 (=> @t971 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t963)))))) % 1.12/1.37 (assume @p915 (forall @t975 (=> @t977 (=> @t976 (=> @t971 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t963 @t591)))))) % 1.12/1.37 (assume @p916 (forall @t983 (=> @t982 (=> @t976 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t961 @t26) (=> @t979 @t978)))))) % 1.12/1.37 (assume @p917 (forall @t987 (=> @t986 (=> @t974 (=> @t972 (=> @t970 (=> @t971 (=> @t985 @t984)))))))) % 1.12/1.37 (assume @p918 (forall @t983 (=> @t982 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t305 @t591) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t26 @t305) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t26 @t961) @t984)))))) % 1.12/1.37 (assume @p919 (forall @t987 (=> @t986 (=> @t977 (=> @t979 (=> @t976 (=> @t971 (=> @t985 @t978)))))))) % 1.12/1.37 (assume @p920 (forall @t608 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t606) (exists @t753 (= @t606 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t751)))))) % 1.12/1.37 (assume @p921 (forall (@list @t119 @t43) (=> @t215 (=> @t623 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t988 @t43) @t119) (tptp.hAPP @t988 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t43 @t249))))))) % 1.12/1.37 (assume @p922 (forall (@list @t90 @t93 @t356 @t27) (=> @t989 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t356 @t93) (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t356 @t90) (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t735 @t356) (tptp.c_Groups_Oplus__class_Oplus @t27 (tptp.c_Divides_Odiv__class_Odiv @t27 @t93 @t356) (tptp.c_Divides_Odiv__class_Odiv @t27 @t90 @t356)))))))) % 1.12/1.37 (assume @p923 (forall (@list @t98 @t922) (= (= @t990 @t591) (or @t657 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t922) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t922 @t98)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t922 @t591) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t98 @t922)))))) % 1.12/1.37 (assume @p924 (forall @t995 (=> @t994 (= @t993 @t991)))) % 1.12/1.37 (assume @p925 (forall (@list @t922 @t98) (=> @t996 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t990) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t98 @t922))))) % 1.12/1.37 (assume @p926 (forall (@list @t56 @t206) (=> @t991 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t992) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t56 @t206) @t994))))) % 1.12/1.37 (assume @p927 (forall @t1000 (=> @t999 (=> @t971 (=> @t985 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t998 @t997)))))) % 1.12/1.37 (assume @p928 (forall @t488 (=> @t999 (=> @t1002 @t1001)))) % 1.12/1.37 (assume @p929 (forall @t488 (=> @t999 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t13 @t26) @t1003)))) % 1.12/1.37 (assume @p930 (forall @t995 (=> @t1004 (= @t993 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t206 @t591))))) % 1.12/1.37 (assume @p931 (forall @t488 (=> @t1006 (=> @t1005 @t1001)))) % 1.12/1.37 (assume @p932 (forall @t1000 (=> @t1007 (=> @t971 (=> @t985 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t997 @t998)))))) % 1.12/1.37 (assume @p933 (forall @t488 (=> @t1006 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t26 @t13) @t1003)))) % 1.12/1.37 (assume @p934 (forall @t1010 (=> @t1009 (=> @t1005 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t998 @t1008))))) % 1.12/1.37 (assume @p935 (forall @t1010 (=> @t1009 (=> @t1002 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1008 @t998))))) % 1.12/1.37 (assume @p936 (forall (@list @t119 @t93) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t93) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t597 @t119) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t93 @t119) @t93))))) % 1.12/1.37 (assume @p937 (forall (@list @t26 @t13 @t217) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t217) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 (tptp.hAPP @t980 @t217)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t998 @t217))))) % 1.12/1.37 (assume @p938 (forall @t404 (=> @t989 (=> @t334 (= (tptp.c_Divides_Odiv__class_Odiv @t27 (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 @t398) @t26) @t1012))))) % 1.12/1.37 (assume @p939 (forall @t404 (=> @t989 (=> @t334 (= (tptp.c_Divides_Odiv__class_Odiv @t27 (tptp.c_Groups_Oplus__class_Oplus @t27 @t13 @t347) @t26) @t1012))))) % 1.12/1.37 (assume @p940 (forall @t426 (=> @t989 (=> @t334 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t726 @t26) @t1013))))) % 1.12/1.37 (assume @p941 (forall @t426 (=> @t989 (=> @t334 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t750 @t26) @t1013))))) % 1.12/1.37 (assume @p942 (forall @t458 (=> @t989 (and (=> @t1015 (= @t1014 @t35)) @t1017)))) % 1.12/1.37 (assume @p943 (forall @t426 (=> @t989 (=> @t334 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t184 @t26) @t13))))) % 1.12/1.37 (assume @p944 (forall @t426 (=> @t989 (=> @t334 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t346 @t26) @t13))))) % 1.12/1.37 (assume @p945 (forall @t458 (=> @t989 (=> @t1016 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t352 @t347) @t1011))))) % 1.12/1.37 (assume @p946 (forall @t458 (=> @t989 @t1017))) % 1.12/1.37 (assume @p947 (forall (@list @t26) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t591 @t26) @t591))) % 1.12/1.37 (assume @p948 (forall @t115 (=> @t989 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t35 @t13) @t35)))) % 1.12/1.37 (assume @p949 (forall @t115 (=> @t989 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t13 @t35) @t35)))) % 1.12/1.37 (assume @p950 (forall @t171 (=> @t589 (= (tptp.hAPP (tptp.hAPP @t592 @t25) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t43 @t25)) @t43)))) % 1.12/1.37 (assume @p951 (forall @t335 (=> @t989 (=> @t315 (= (tptp.hAPP @t183 @t1018) @t26))))) % 1.12/1.37 (assume @p952 (forall @t798 (=> @t989 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t217 @t26) (= (tptp.hAPP @t183 (tptp.c_Divides_Odiv__class_Odiv @t27 @t26 @t217)) (tptp.c_Divides_Odiv__class_Odiv @t27 @t184 @t217)))))) % 1.12/1.37 (assume @p953 (forall @t335 (=> @t989 (=> @t315 (= (tptp.hAPP @t1019 @t13) @t26))))) % 1.12/1.37 (assume @p954 (forall @t316 (=> @t989 (=> @t315 (= (tptp.hAPP @t1019 @t217) (tptp.c_Divides_Odiv__class_Odiv @t27 @t347 @t13)))))) % 1.12/1.37 (assume @p955 (forall (@list @t602 @t356 @t93 @t90 @t27) (=> @t989 (=> @t1021 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t356 @t602) (= (tptp.hAPP (tptp.hAPP @t45 @t1020) (tptp.c_Divides_Odiv__class_Odiv @t27 @t602 @t356)) (tptp.c_Divides_Odiv__class_Odiv @t27 (tptp.hAPP @t460 @t602) (tptp.hAPP @t465 @t356)))))))) % 1.12/1.37 (assume @p956 (forall (@list @t25 @t93 @t90 @t27) (=> @t989 (=> @t1021 (= (tptp.hAPP (tptp.hAPP @t28 @t1020) @t25) (tptp.c_Divides_Odiv__class_Odiv @t27 @t95 @t92)))))) % 1.12/1.37 (assume @p957 (forall @t745 (=> @t989 (=> @t437 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t206 @t239) (= (tptp.c_Rings_Odvd__class_Odvd @t27 @t1022 (tptp.c_Divides_Odiv__class_Odiv @t27 @t239 @t206)) (tptp.c_Rings_Odvd__class_Odvd @t27 @t56 @t239))))))) % 1.12/1.37 (assume @p958 (forall @t115 (=> @t989 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t13 @t50) @t13)))) % 1.12/1.37 (assume @p959 (forall @t14 (=> (not (= @t13 @t591)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 @t13) @t597)))) % 1.12/1.37 (assume @p960 (forall @t488 (=> @t1007 (=> @t1005 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t998 @t591))))) % 1.12/1.37 (assume @p961 (forall @t995 (=> @t1004 (= @t1023 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t591 @t206))))) % 1.12/1.37 (assume @p962 (forall @t175 (=> @t653 (=> @t658 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t93 @t90)))))) % 1.12/1.37 (assume @p963 (forall @t995 (=> @t994 (= @t1023 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t206 @t591))))) % 1.12/1.37 (assume @p964 (forall @t115 (=> @t989 (=> @t180 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t13 @t13) @t50))))) % 1.12/1.37 (assume @p965 (forall @t575 (=> @t1025 (=> @t1021 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t93 @t666) @t1024))))) % 1.12/1.37 (assume @p966 (forall @t575 (=> @t1025 (=> @t1021 (= (tptp.c_Divides_Odiv__class_Odiv @t27 @t535 @t90) @t1024))))) % 1.12/1.37 (assume @p967 (forall @t488 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1027 @t1026) @t998))) % 1.12/1.37 (assume @p968 (forall @t488 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t13 @t1026) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1027 @t26)))) % 1.12/1.37 (assume @p969 (forall (@list @t542 @t56 @t239 @t206 @t27) (=> @t989 (=> @t1028 (=> (not @t438) (=> @t437 (=> (tptp.c_Rings_Odvd__class_Odvd @t27 @t239 @t542) (= (= @t1022 (tptp.c_Divides_Odiv__class_Odiv @t27 @t542 @t239)) (= @t412 @t724))))))))) % 1.12/1.37 (assume @p970 (forall @t745 (=> @t989 (=> @t1028 (=> @t437 (= (= @t1022 @t239) (= @t56 @t417))))))) % 1.12/1.37 (assume @p971 (forall (@list @t98 @t77 @t163) (= (tptp.hBOOL (tptp.hAPP @t163 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t77 @t98))) (and (=> @t657 (tptp.hBOOL (tptp.hAPP @t163 @t591))) (=> @t996 (forall @t862 (=> (exists @t294 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t293) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t293 @t98) @t1030)) @t1029))) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t98 @t591) (forall @t862 (=> (exists @t294 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t98 @t293) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t293 @t591) @t1030)) @t1029))))))) % 1.12/1.37 (assume @p972 (forall (@list @t1033 @t90 @t1031 @t1032) (=> (= @t1032 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t592 @t1031) @t90) @t1033)) (=> (and (=> @t1034 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t591 @t1033) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1033 @t1031))) (=> (not @t1034) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1031 @t1033) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1033 @t591)))) (=> (not (= @t1031 @t591)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1032 @t1031) @t90)))))) % 1.12/1.37 (assume @p973 (forall (@list @t119 @t116) (and (=> @t1036 (= @t1035 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t119 @t116))) (=> (not @t1036) (= @t1035 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t119 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t116)))))))) % 1.12/1.37 (assume @p974 (forall @t680 (=> @t679 (=> (forall @t6 (=> @t677 (tptp.hBOOL (tptp.hAPP @t163 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t542))))) (=> @t678 (forall @t6 (=> @t677 (tptp.hBOOL (tptp.hAPP @t163 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t676)))))))))) % 1.12/1.37 (assume @p975 (forall @t135 (=> @t215 (=> @t62 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t119 @t25) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t119 @t43)))))) % 1.12/1.37 (assume @p976 (forall @t171 (=> @t34 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t254 @t25) @t43)))) % 1.12/1.37 (assume @p977 (forall @t171 (=> @t34 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t88 @t25) @t43)))) % 1.12/1.37 (assume @p978 (forall @t171 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t41 @t25) (=> @t215 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t43 @t25) @t43))))) % 1.12/1.37 (assume @p979 (forall @t218 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t13 (tptp.hAPP (tptp.hAPP @t76 @t26) @t217)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t13 @t26) @t217)))) % 1.12/1.37 (assume @p980 (forall @t113 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t43 @t249) @t43))) % 1.12/1.37 (assume @p981 (forall @t1040 (=> @t1039 (tptp.class_Groups_Ocancel__comm__monoid__add @t1038)))) % 1.12/1.37 (assume @p982 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p983 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p984 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p985 (forall @t1043 (=> (tptp.class_Lattices_Oboolean__algebra @t1037) (tptp.class_Lattices_Oboolean__algebra @t1042)))) % 1.12/1.37 (assume @p986 (forall @t1043 (=> (tptp.class_Orderings_Opreorder @t1037) (tptp.class_Orderings_Opreorder @t1042)))) % 1.12/1.37 (assume @p987 (forall @t1043 (=> (tptp.class_Orderings_Oorder @t1037) (tptp.class_Orderings_Oorder @t1042)))) % 1.12/1.37 (assume @p988 (forall @t1043 (=> (tptp.class_Orderings_Oord @t1037) (tptp.class_Orderings_Oord @t1042)))) % 1.12/1.37 (assume @p989 (forall @t1043 (=> (tptp.class_Groups_Ouminus @t1037) (tptp.class_Groups_Ouminus @t1042)))) % 1.12/1.37 (assume @p990 (forall @t1043 (=> (tptp.class_Groups_Ominus @t1037) (tptp.class_Groups_Ominus @t1042)))) % 1.12/1.37 (assume @p991 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p992 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p993 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p994 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p995 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p996 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p997 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p998 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p999 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1000 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1001 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1002 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1003 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1004 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1005 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1006 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1007 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1008 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1009 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1010 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1011 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1012 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1013 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1014 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1015 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1016 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1017 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1018 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1019 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1020 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1021 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1022 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1023 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1024 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1025 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1026 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1027 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1028 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1029 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1030 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1031 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1032 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1033 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1034 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1035 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1036 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1037 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1038 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1039 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1040 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1041 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1042 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1043 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1044 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1045 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1046 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1047 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1048 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1049 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1050 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1051 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.12/1.37 (assume @p1052 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1053 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1054 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1055 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1056 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1057 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1058 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1059 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1060 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1061 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1062 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1063 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1064 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1065 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1066 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1067 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1068 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1069 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1070 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1071 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1072 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1073 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1074 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1075 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1076 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1077 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1078 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1079 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1080 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1081 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1082 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1083 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1084 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1085 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1086 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1087 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1088 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1089 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1090 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.12/1.37 (assume @p1091 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.12/1.37 (assume @p1092 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.12/1.37 (assume @p1093 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.12/1.37 (assume @p1094 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.12/1.37 (assume @p1095 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.12/1.37 (assume @p1096 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.12/1.37 (assume @p1097 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1098 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1099 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1100 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1101 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1102 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1103 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1104 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1105 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1106 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1107 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1108 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1109 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1110 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1111 @t1044) % 1.12/1.37 (assume @p1112 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1113 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1114 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1115 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1116 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1117 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1118 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1119 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1120 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1121 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1122 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1123 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1124 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1125 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1126 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1127 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1128 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1129 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1130 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1131 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1132 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1133 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1134 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1135 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1136 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 1.12/1.37 (assume @p1137 (forall @t1040 (=> @t1045 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1038)))) % 1.12/1.37 (assume @p1138 (forall @t1040 (=> @t1046 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1038)))) % 1.12/1.37 (assume @p1139 (forall @t1040 (=> @t1046 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1038)))) % 1.12/1.37 (assume @p1140 (forall @t1040 (=> @t1046 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1038)))) % 1.12/1.37 (assume @p1141 (forall @t1040 (=> @t1046 (tptp.class_Rings_Olinordered__semiring__1__strict @t1038)))) % 1.12/1.37 (assume @p1142 (forall @t1040 (=> @t1046 (tptp.class_Rings_Olinordered__semiring__strict @t1038)))) % 1.12/1.37 (assume @p1143 (forall @t1040 (=> @t1046 (tptp.class_Groups_Oordered__ab__semigroup__add @t1038)))) % 1.12/1.37 (assume @p1144 (forall @t1040 (=> @t1046 (tptp.class_Groups_Oordered__comm__monoid__add @t1038)))) % 1.12/1.37 (assume @p1145 (forall @t1040 (=> @t1046 (tptp.class_Groups_Olinordered__ab__group__add @t1038)))) % 1.12/1.37 (assume @p1146 (forall @t1040 (=> @t1039 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1038)))) % 1.12/1.37 (assume @p1147 (forall @t1040 (=> @t1045 (tptp.class_Rings_Oring__1__no__zero__divisors @t1038)))) % 1.12/1.37 (assume @p1148 (forall @t1040 (=> @t1046 (tptp.class_Rings_Oordered__cancel__semiring @t1038)))) % 1.12/1.37 (assume @p1149 (forall @t1040 (=> @t1046 (tptp.class_Rings_Olinordered__ring__strict @t1038)))) % 1.12/1.37 (assume @p1150 (forall @t1040 (=> @t1045 (tptp.class_Rings_Oring__no__zero__divisors @t1038)))) % 1.12/1.37 (assume @p1151 (forall @t1040 (=> @t1046 (tptp.class_Rings_Oordered__comm__semiring @t1038)))) % 1.12/1.37 (assume @p1152 (forall @t1040 (=> @t1046 (tptp.class_Rings_Olinordered__semiring__1 @t1038)))) % 1.12/1.37 (assume @p1153 (forall @t1040 (=> @t1046 (tptp.class_Groups_Oordered__ab__group__add @t1038)))) % 1.12/1.37 (assume @p1154 (forall @t1040 (=> @t1039 (tptp.class_Groups_Ocancel__semigroup__add @t1038)))) % 1.12/1.37 (assume @p1155 (forall @t1040 (=> @t1046 (tptp.class_Rings_Olinordered__semiring @t1038)))) % 1.12/1.37 (assume @p1156 (forall @t1040 (=> @t1046 (tptp.class_Rings_Olinordered__semidom @t1038)))) % 1.12/1.37 (assume @p1157 (forall @t1040 (=> @t1047 (tptp.class_Groups_Oab__semigroup__mult @t1038)))) % 1.12/1.37 (assume @p1158 (forall @t1040 (=> @t1048 (tptp.class_Groups_Ocomm__monoid__mult @t1038)))) % 1.12/1.37 (assume @p1159 (forall @t1040 (=> @t1049 (tptp.class_Groups_Oab__semigroup__add @t1038)))) % 1.12/1.37 (assume @p1160 (forall @t1040 (=> @t1046 (tptp.class_Rings_Oordered__semiring @t1038)))) % 1.12/1.37 (assume @p1161 (forall @t1040 (=> @t1045 (tptp.class_Rings_Ono__zero__divisors @t1038)))) % 1.12/1.37 (assume @p1162 (forall @t1040 (=> @t1049 (tptp.class_Groups_Ocomm__monoid__add @t1038)))) % 1.12/1.37 (assume @p1163 (forall @t1040 (=> @t1046 (tptp.class_Rings_Olinordered__ring @t1038)))) % 1.12/1.37 (assume @p1164 (forall @t1040 (=> @t1046 (tptp.class_Rings_Olinordered__idom @t1038)))) % 1.12/1.37 (assume @p1165 @t1051) % 1.12/1.37 (assume @p1166 (forall @t1040 (=> @t1047 (tptp.class_Rings_Ocomm__semiring__0 @t1038)))) % 1.12/1.37 (assume @p1167 (forall @t1040 (=> @t1052 (tptp.class_Divides_Osemiring__div @t1038)))) % 1.12/1.37 (assume @p1168 (forall @t1040 (=> @t1047 (tptp.class_Rings_Ocomm__semiring @t1038)))) % 1.12/1.37 (assume @p1169 (forall @t1040 (=> @t1053 (tptp.class_Groups_Oab__group__add @t1038)))) % 1.12/1.37 (assume @p1170 (forall @t1040 (=> @t1048 (tptp.class_Rings_Ozero__neq__one @t1038)))) % 1.12/1.37 (assume @p1171 (forall @t1040 (=> @t1046 (tptp.class_Rings_Oordered__ring @t1038)))) % 1.12/1.37 (assume @p1172 (forall @t1040 (=> @t1046 (tptp.class_Orderings_Opreorder @t1038)))) % 1.12/1.37 (assume @p1173 (forall @t1040 (=> @t1046 (tptp.class_Orderings_Olinorder @t1038)))) % 1.12/1.37 (assume @p1174 (forall @t1040 (=> @t1048 (tptp.class_Groups_Omonoid__mult @t1038)))) % 1.12/1.37 (assume @p1175 (forall @t1040 (=> @t1054 (tptp.class_Rings_Ocomm__ring__1 @t1038)))) % 1.12/1.37 (assume @p1176 (forall @t1040 (=> @t1049 (tptp.class_Groups_Omonoid__add @t1038)))) % 1.12/1.37 (assume @p1177 (forall @t1040 (=> @t1047 (tptp.class_Rings_Osemiring__0 @t1038)))) % 1.12/1.37 (assume @p1178 (forall @t1040 (=> @t1053 (tptp.class_Groups_Ogroup__add @t1038)))) % 1.12/1.37 (assume @p1179 (forall @t1040 (=> @t1052 (tptp.class_Divides_Oring__div @t1038)))) % 1.12/1.37 (assume @p1180 (forall @t1040 (=> @t1047 (tptp.class_Rings_Omult__zero @t1038)))) % 1.12/1.37 (assume @p1181 (forall @t1040 (=> @t1055 (tptp.class_Rings_Ocomm__ring @t1038)))) % 1.12/1.37 (assume @p1182 (forall @t1040 (=> @t1046 (tptp.class_Orderings_Oorder @t1038)))) % 1.12/1.37 (assume @p1183 (forall @t1040 (=> @t1046 (tptp.class_Int_Oring__char__0 @t1038)))) % 1.12/1.37 (assume @p1184 (forall @t1040 (=> @t1054 (tptp.class_Int_Onumber__ring @t1038)))) % 1.12/1.37 (assume @p1185 (forall @t1040 (=> @t1047 (tptp.class_Rings_Osemiring @t1038)))) % 1.12/1.37 (assume @p1186 (forall @t1040 (=> @t1046 (tptp.class_Orderings_Oord @t1038)))) % 1.12/1.37 (assume @p1187 (forall @t1040 (=> @t1053 (tptp.class_Groups_Ouminus @t1038)))) % 1.12/1.37 (assume @p1188 (forall @t1040 (=> @t1046 (tptp.class_Groups_Osgn__if @t1038)))) % 1.12/1.37 (assume @p1189 (forall @t1040 (=> @t1054 (tptp.class_Rings_Oring__1 @t1038)))) % 1.12/1.37 (assume @p1190 (forall @t1040 (=> @t1053 (tptp.class_Groups_Ominus @t1038)))) % 1.12/1.37 (assume @p1191 (forall @t1040 (=> @t1048 (tptp.class_Power_Opower @t1038)))) % 1.12/1.37 (assume @p1192 (forall @t1040 (=> (tptp.class_Groups_Ozero @t1037) (tptp.class_Groups_Ozero @t1038)))) % 1.12/1.37 (assume @p1193 (forall @t1040 (=> @t1055 (tptp.class_Rings_Oring @t1038)))) % 1.12/1.37 (assume @p1194 (forall @t1040 (=> @t1045 (tptp.class_Rings_Oidom @t1038)))) % 1.12/1.37 (assume @p1195 (forall @t1040 (=> @t1054 (tptp.class_Int_Onumber @t1038)))) % 1.12/1.37 (assume @p1196 (forall @t1040 (=> @t1048 (tptp.class_Groups_Oone @t1038)))) % 1.12/1.37 (assume @p1197 (forall @t1040 (=> @t1048 (tptp.class_Rings_Odvd @t1038)))) % 1.12/1.37 (assume @p1198 (forall @t481 (or (not @t1056) @t287))) % 1.12/1.37 (assume @p1199 (forall @t481 (or @t483 @t1056))) % 1.12/1.37 (assume @p1200 @t1064) % 1.12/1.37 (assume @p1201 true) % 1.12/1.37 (step @p1202 :rule refl :args (@t1060)) % 1.12/1.37 (step @p1203 :rule refl :args (@t1061)) % 1.12/1.37 (step @p1204 :rule eq-symm :args (tptp.v_r____ @t9)) % 1.12/1.37 (step @p1205 :rule nary_cong :premises (@p1204 @p1203) :args (@t1062)) % 1.12/1.37 (step @p1206 :rule nary_cong :premises (@p1205 @p1202) :args (@t1063)) % 1.12/1.37 (step @p1207 :rule cong :premises (@p1206) :args (@t1064)) % 1.12/1.37 (step @p1208 :rule eq_resolve :premises (@p1200 @p1207)) % 1.12/1.37 (step @p1209 :rule not_or_elim :premises (@p1208) :args (1)) % 1.12/1.37 (step @p1210 :rule bool-impl-elim :args (@t139 @t1065)) % 1.12/1.37 (step @p1211 :rule cong :premises (@p1210) :args ((forall @t171 (=> @t139 @t1065)))) % 1.12/1.37 (step @p1212 :rule eq-symm :args (@t919 @t43)) % 1.12/1.37 (step @p1213 :rule refl :args (@t139)) % 1.12/1.37 (step @p1214 :rule cong :premises (@p1213 @p1212) :args (@t935)) % 1.12/1.37 (step @p1215 :rule cong :premises (@p1214) :args (@t936)) % 1.12/1.37 (step @p1216 :rule trans :premises (@p1215 @p1211)) % 1.12/1.37 (step @p1217 :rule eq_resolve :premises (@p871 @p1216)) % 1.12/1.37 (step @p1218 :rule instantiate :premises (@p1217) :args ((@list tptp.v_na____ @t11))) % 1.12/1.37 (step @p1219 :rule cnf_or_pos :args (@t1069)) % 1.12/1.37 (step @p1220 :rule reordering :premises (@p1219) :args ((or @t1068 @t1067 (not @t1069)))) % 1.12/1.37 (step @p1221 :rule chain_m_resolution :premises (@p1220 @p10 @p1218) :args (@t1067 @t1070 (@list @t15 @t1069))) % 1.12/1.37 (step @p1222 :rule bool-impl-elim :args (@t97 @t911)) % 1.12/1.37 (step @p1223 :rule cong :premises (@p1222) :args (@t912)) % 1.12/1.37 (step @p1224 :rule eq_resolve :premises (@p846 @p1223)) % 1.12/1.37 (step @p1225 :rule instantiate :premises (@p1224) :args ((@list @t1057 @t11 @t16 @t8))) % 1.12/1.37 (step @p1226 :rule bool-impl-elim :args (@t1048 @t1050)) % 1.12/1.37 (step @p1227 :rule cong :premises (@p1226) :args (@t1051)) % 1.12/1.37 (step @p1228 :rule eq_resolve :premises (@p1165 @p1227)) % 1.12/1.37 (step @p1229 :rule instantiate :premises (@p1228) :args ((@list tptp.tc_Complex_Ocomplex))) % 1.12/1.37 (step @p1230 :rule cnf_or_pos :args (@t1073)) % 1.12/1.37 (step @p1231 :rule reordering :premises (@p1230) :args ((or @t1072 @t1071 (not @t1073)))) % 1.12/1.37 (step @p1232 :rule chain_m_resolution :premises (@p1231 @p1111 @p1229) :args (@t1071 @t1070 (@list @t1044 @t1073))) % 1.12/1.37 (step @p1233 :rule cnf_or_pos :args (@t1076)) % 1.12/1.37 (step @p1234 :rule reordering :premises (@p1233) :args ((or @t1075 @t1074 (not @t1076)))) % 1.12/1.37 (step @p1235 :rule chain_m_resolution :premises (@p1234 @p1232 @p1225) :args (@t1074 @t1070 (@list @t1071 @t1076))) % 1.12/1.37 (assume-push @p1250 @t1074) % 1.12/1.37 (assume-push @p1251 @t1067) % 1.12/1.37 (step @p1238 :rule symm :premises (@p1235)) % 1.12/1.37 (step @p1239 :rule refl :args (@t18)) % 1.12/1.37 (step @p1240 :rule cong :premises (@p1239 @p1221) :args (@t1059)) % 1.12/1.37 (step @p1241 :rule trans :premises (@p1240 @p1238)) % 1.12/1.37 (step-pop @p1252 :rule scope :premises (@p1241)) % 1.12/1.37 (step-pop @p1253 :rule scope :premises (@p1252)) % 1.12/1.37 (step @p1242 :rule process_scope :premises (@p1253) :args (@t1060)) % 1.12/1.37 (step @p1245 :rule implies_elim :premises (@p1242)) % 1.12/1.37 (step @p1246 :rule cnf_and_neg :args (@t1077)) % 1.12/1.37 (step @p1247 :rule resolution :premises (@p1246 @p1245) :args (true @t1077)) % 1.12/1.37 (step @p1248 :rule reordering :premises (@p1247) :args ((or @t1060 (not @t1074) (not @t1067)))) % 1.12/1.37 (step @p1249 false :rule chain_m_resolution :premises (@p1248 @p1235 @p1221 @p1209) :args (false (@list false false true) (@list @t1074 @t1067 @t1060))) % 1.12/1.37 ) % 1.12/1.37 % SZS output end Proof % 1.12/1.37 % cvc5 exiting %------------------------------------------------------------------------------