%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW281+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:39 AM UTC 2026 % Result : Theorem 41.55s 41.75s % Output : Proof 41.55s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW281+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n018.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 21:43:35 EDT 2026 % 0.18/0.34 % CPUTime : % 0.45/0.73 %----Proving TF0_NAR, FOF, or CNF % 41.55/41.75 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 41.55/41.75 --- Run --no-e-matching --full-saturate-quant at 6... % 41.55/41.75 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 41.55/41.75 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 41.55/41.75 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 41.55/41.75 % SZS status Theorem % 41.55/41.75 % SZS output start Proof % 41.55/41.75 ( % 41.55/41.75 (declare-sort $$unsorted 0) % 41.55/41.75 (declare-const tptp.tc_HOL_Obool $$unsorted) % 41.55/41.75 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.c_Polynomial_Opdivmod__rel (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Int_Onumber (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.c_SMT_Oz3div (-> $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Int_Onumber__class_Onumber__of (-> $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.tc_Nat_Onat $$unsorted) % 41.55/41.75 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.v_r____ $$unsorted) % 41.55/41.75 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.v_u____ $$unsorted) % 41.55/41.75 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.v_pa____ $$unsorted) % 41.55/41.75 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.v_s____ $$unsorted) % 41.55/41.75 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.v_na____ $$unsorted) % 41.55/41.75 (declare-const tptp.tc_Int_Oint $$unsorted) % 41.55/41.75 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.v_p $$unsorted) % 41.55/41.75 (declare-const tptp.class_Divides_Oring__div (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 41.55/41.75 (declare-const tptp.v_a____ $$unsorted) % 41.55/41.75 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.v_qa____ $$unsorted) % 41.55/41.75 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.v_n $$unsorted) % 41.55/41.75 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.v_q $$unsorted) % 41.55/41.75 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 41.55/41.75 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 41.55/41.75 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 41.55/41.75 (define @t1 () (@var "V_g_2" $$unsorted)) % 41.55/41.75 (define @t2 () (@var "V_f_2" $$unsorted)) % 41.55/41.75 (define @t3 () (@var "B_x" $$unsorted)) % 41.55/41.75 (define @t4 () (tptp.hAPP @t1 @t3)) % 41.55/41.75 (define @t5 () (tptp.hAPP @t2 @t3)) % 41.55/41.75 (define @t6 () (@list @t3)) % 41.55/41.75 (define @t7 () (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (define @t8 () (tptp.c_Groups_Ozero__class_Ozero @t7)) % 41.55/41.75 (define @t9 () (= tptp.v_qa____ @t8)) % 41.55/41.75 (define @t10 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 41.55/41.75 (define @t11 () (tptp.c_Groups_Otimes__class_Otimes @t7)) % 41.55/41.75 (define @t12 () (tptp.hAPP @t11 tptp.v_s____)) % 41.55/41.75 (define @t13 () (tptp.hAPP @t12 tptp.v_u____)) % 41.55/41.75 (define @t14 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_s____)) % 41.55/41.75 (define @t15 () (tptp.c_Power_Opower__class_Opower @t7)) % 41.55/41.75 (define @t16 () (tptp.hAPP @t15 tptp.v_r____)) % 41.55/41.75 (define @t17 () (tptp.hAPP @t16 @t14)) % 41.55/41.75 (define @t18 () (= @t17 @t13)) % 41.55/41.75 (define @t19 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 41.55/41.75 (define @t20 () (@var "V_a" $$unsorted)) % 41.55/41.75 (define @t21 () (@list @t20)) % 41.55/41.75 (define @t22 () (tptp.c_Polynomial_Oorder tptp.tc_Complex_Ocomplex tptp.v_a____ tptp.v_pa____)) % 41.55/41.75 (define @t23 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (define @t24 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t23 @t8)) % 41.55/41.75 (define @t25 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex tptp.v_a____)) % 41.55/41.75 (define @t26 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t25 @t24)) % 41.55/41.75 (define @t27 () (tptp.hAPP @t15 @t26)) % 41.55/41.75 (define @t28 () (tptp.hAPP @t27 @t22)) % 41.55/41.75 (define @t29 () (tptp.hAPP @t11 @t28)) % 41.55/41.75 (define @t30 () (tptp.hAPP @t29 tptp.v_s____)) % 41.55/41.75 (define @t31 () (= tptp.v_pa____ @t30)) % 41.55/41.75 (define @t32 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t22 tptp.v_na____)) % 41.55/41.75 (define @t33 () (= @t14 @t19)) % 41.55/41.75 (define @t34 () (not @t33)) % 41.55/41.75 (define @t35 () (tptp.hAPP @t11 @t26)) % 41.55/41.75 (define @t36 () (@var "B_s" $$unsorted)) % 41.55/41.75 (define @t37 () (forall (@list @t36) (not (= tptp.v_pa____ (tptp.hAPP @t29 @t36))))) % 41.55/41.75 (define @t38 () (not @t37)) % 41.55/41.75 (define @t39 () (@var "B_u" $$unsorted)) % 41.55/41.75 (define @t40 () (@var "V_n" $$unsorted)) % 41.55/41.75 (define @t41 () (@var "T_a" $$unsorted)) % 41.55/41.75 (define @t42 () (tptp.tc_Polynomial_Opoly @t41)) % 41.55/41.75 (define @t43 () (tptp.c_Groups_Ozero__class_Ozero @t42)) % 41.55/41.75 (define @t44 () (tptp.c_Groups_Oone__class_Oone @t41)) % 41.55/41.75 (define @t45 () (tptp.c_Polynomial_OpCons @t41 @t44 @t43)) % 41.55/41.75 (define @t46 () (tptp.c_Power_Opower__class_Opower @t42)) % 41.55/41.75 (define @t47 () (tptp.hAPP (tptp.hAPP @t46 (tptp.c_Polynomial_OpCons @t41 @t20 @t45)) @t40)) % 41.55/41.75 (define @t48 () (tptp.c_Polynomial_Odegree @t41 @t47)) % 41.55/41.75 (define @t49 () (tptp.class_Rings_Ocomm__semiring__1 @t41)) % 41.55/41.75 (define @t50 () (=> @t49 (= @t48 @t40))) % 41.55/41.75 (define @t51 () (@list @t40 @t20 @t41)) % 41.55/41.75 (define @t52 () (forall @t51 @t50)) % 41.55/41.75 (define @t53 () (@var "V_y_2" $$unsorted)) % 41.55/41.75 (define @t54 () (@var "V_x_2" $$unsorted)) % 41.55/41.75 (define @t55 () (@var "V_b_2" $$unsorted)) % 41.55/41.75 (define @t56 () (tptp.c_Power_Opower__class_Opower @t41)) % 41.55/41.75 (define @t57 () (tptp.hAPP @t56 @t55)) % 41.55/41.75 (define @t58 () (tptp.hAPP @t57 @t53)) % 41.55/41.75 (define @t59 () (tptp.hAPP @t57 @t54)) % 41.55/41.75 (define @t60 () (tptp.c_Orderings_Oord__class_Oless @t41 @t44 @t55)) % 41.55/41.75 (define @t61 () (tptp.class_Rings_Olinordered__semidom @t41)) % 41.55/41.75 (define @t62 () (@list @t53 @t54 @t55 @t41)) % 41.55/41.75 (define @t63 () (@var "V_m" $$unsorted)) % 41.55/41.75 (define @t64 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t63 @t40)) % 41.55/41.75 (define @t65 () (tptp.hAPP @t56 @t20)) % 41.55/41.75 (define @t66 () (tptp.hAPP @t65 @t40)) % 41.55/41.75 (define @t67 () (tptp.hAPP @t65 @t63)) % 41.55/41.75 (define @t68 () (tptp.c_Orderings_Oord__class_Oless @t41 @t44 @t20)) % 41.55/41.75 (define @t69 () (@list @t40 @t63 @t20 @t41)) % 41.55/41.75 (define @t70 () (@var "V_N" $$unsorted)) % 41.55/41.75 (define @t71 () (tptp.hAPP @t65 @t70)) % 41.55/41.75 (define @t72 () (tptp.c_Groups_Ozero__class_Ozero @t41)) % 41.55/41.75 (define @t73 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t20)) % 41.55/41.75 (define @t74 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t40 @t70)) % 41.55/41.75 (define @t75 () (@list @t20 @t70 @t40 @t41)) % 41.55/41.75 (define @t76 () (tptp.c_Orderings_Oord__class_Oless @t41 @t20 @t44)) % 41.55/41.75 (define @t77 () (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t20)) % 41.55/41.75 (define @t78 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t70)) % 41.55/41.75 (define @t79 () (@var "V_b" $$unsorted)) % 41.55/41.75 (define @t80 () (tptp.hAPP @t56 @t79)) % 41.55/41.75 (define @t81 () (tptp.hAPP @t80 @t40)) % 41.55/41.75 (define @t82 () (tptp.c_Orderings_Oord__class_Oless @t41 @t66 @t81)) % 41.55/41.75 (define @t83 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t40)) % 41.55/41.75 (define @t84 () (tptp.c_Orderings_Oord__class_Oless @t41 @t20 @t79)) % 41.55/41.75 (define @t85 () (@list @t40 @t79 @t20 @t41)) % 41.55/41.75 (define @t86 () (tptp.c_Groups_Otimes__class_Otimes @t41)) % 41.55/41.75 (define @t87 () (tptp.hAPP @t86 @t20)) % 41.55/41.75 (define @t88 () (tptp.hAPP @t87 @t66)) % 41.55/41.75 (define @t89 () (@var "V_p" $$unsorted)) % 41.55/41.75 (define @t90 () (tptp.c_Polynomial_Odegree @t41 @t89)) % 41.55/41.75 (define @t91 () (tptp.c_Polynomial_Oorder @t41 @t20 @t89)) % 41.55/41.75 (define @t92 () (= @t89 @t43)) % 41.55/41.75 (define @t93 () (not @t92)) % 41.55/41.75 (define @t94 () (tptp.class_Rings_Oidom @t41)) % 41.55/41.75 (define @t95 () (@list @t20 @t89 @t41)) % 41.55/41.75 (define @t96 () (tptp.c_Rings_Odvd__class_Odvd @t7 tptp.v_s____ @t17)) % 41.55/41.75 (define @t97 () (tptp.c_Rings_Odvd__class_Odvd @t7 tptp.v_pa____ (tptp.hAPP (tptp.hAPP @t15 tptp.v_qa____) tptp.v_na____))) % 41.55/41.75 (define @t98 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (define @t99 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 41.55/41.75 (define @t100 () (tptp.c_Groups_Oone__class_Oone @t42)) % 41.55/41.75 (define @t101 () (@list @t41)) % 41.55/41.75 (define @t102 () (@var "V_nb_2" $$unsorted)) % 41.55/41.75 (define @t103 () (= @t102 @t19)) % 41.55/41.75 (define @t104 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t54)) % 41.55/41.75 (define @t105 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 41.55/41.75 (define @t106 () (tptp.hAPP @t105 @t54)) % 41.55/41.75 (define @t107 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 (tptp.hAPP @t106 @t102))) % 41.55/41.75 (define @t108 () (@list @t102 @t54)) % 41.55/41.75 (define @t109 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t63 @t40)) % 41.55/41.75 (define @t110 () (@var "V_i" $$unsorted)) % 41.55/41.75 (define @t111 () (tptp.hAPP @t105 @t110)) % 41.55/41.75 (define @t112 () (tptp.hAPP @t111 @t40)) % 41.55/41.75 (define @t113 () (tptp.hAPP @t111 @t63)) % 41.55/41.75 (define @t114 () (@list @t40 @t63 @t110)) % 41.55/41.75 (define @t115 () (@var "V_y" $$unsorted)) % 41.55/41.75 (define @t116 () (tptp.hAPP @t56 @t115)) % 41.55/41.75 (define @t117 () (tptp.hAPP @t116 @t40)) % 41.55/41.75 (define @t118 () (@var "V_x" $$unsorted)) % 41.55/41.75 (define @t119 () (tptp.hAPP @t56 @t118)) % 41.55/41.75 (define @t120 () (tptp.hAPP @t119 @t40)) % 41.55/41.75 (define @t121 () (tptp.c_Rings_Odvd__class_Odvd @t41 @t118 @t115)) % 41.55/41.75 (define @t122 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 41.55/41.75 (define @t123 () (tptp.hAPP @t122 @t63)) % 41.55/41.75 (define @t124 () (tptp.hAPP @t123 @t40)) % 41.55/41.75 (define @t125 () (tptp.class_Groups_Omonoid__mult @t41)) % 41.55/41.75 (define @t126 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 41.55/41.75 (define @t127 () (@list @t20 @t41)) % 41.55/41.75 (define @t128 () (@list @t118 @t40 @t41)) % 41.55/41.75 (define @t129 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t40 @t63)) % 41.55/41.75 (define @t130 () (@list @t20 @t40 @t63 @t41)) % 41.55/41.75 (define @t131 () (tptp.class_Power_Opower @t41)) % 41.55/41.75 (define @t132 () (tptp.class_Groups_Ozero @t41)) % 41.55/41.75 (define @t133 () (@var "V_q" $$unsorted)) % 41.55/41.75 (define @t134 () (tptp.c_Polynomial_Odegree @t41 @t133)) % 41.55/41.75 (define @t135 () (not (= @t133 @t43))) % 41.55/41.75 (define @t136 () (tptp.c_Rings_Odvd__class_Odvd @t42 @t89 @t133)) % 41.55/41.75 (define @t137 () (@list @t133 @t89 @t41)) % 41.55/41.75 (define @t138 () (tptp.hAPP @t122 @t90)) % 41.55/41.75 (define @t139 () (tptp.hAPP (tptp.hAPP @t46 @t89) @t40)) % 41.55/41.75 (define @t140 () (@list @t40 @t89 @t41)) % 41.55/41.75 (define @t141 () (tptp.c_Polynomial_OpCons @t41 @t20 @t43)) % 41.55/41.75 (define @t142 () (@var "V_qb_2" $$unsorted)) % 41.55/41.75 (define @t143 () (@var "V_pb_2" $$unsorted)) % 41.55/41.75 (define @t144 () (= @t143 @t142)) % 41.55/41.75 (define @t145 () (@var "V_aa_2" $$unsorted)) % 41.55/41.75 (define @t146 () (= @t145 @t55)) % 41.55/41.75 (define @t147 () (tptp.c_Polynomial_OpCons @t41 @t145 @t143)) % 41.55/41.75 (define @t148 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t20)) % 41.55/41.75 (define @t149 () (tptp.hAPP @t46 (tptp.c_Polynomial_OpCons @t41 @t148 @t45))) % 41.55/41.75 (define @t150 () (tptp.c_Rings_Odvd__class_Odvd @t42 (tptp.hAPP @t149 @t91) @t89)) % 41.55/41.75 (define @t151 () (@list @t89 @t20 @t41)) % 41.55/41.75 (define @t152 () (not (= @t66 @t72))) % 41.55/41.75 (define @t153 () (= @t20 @t72)) % 41.55/41.75 (define @t154 () (not @t153)) % 41.55/41.75 (define @t155 () (=> @t154 @t152)) % 41.55/41.75 (define @t156 () (tptp.class_Rings_Oring__1__no__zero__divisors @t41)) % 41.55/41.75 (define @t157 () (forall @t51 (=> @t156 @t155))) % 41.55/41.75 (define @t158 () (not @t103)) % 41.55/41.75 (define @t159 () (= @t145 @t72)) % 41.55/41.75 (define @t160 () (tptp.hAPP @t56 @t145)) % 41.55/41.75 (define @t161 () (tptp.hAPP @t160 @t102)) % 41.55/41.75 (define @t162 () (tptp.class_Rings_Ozero__neq__one @t41)) % 41.55/41.75 (define @t163 () (tptp.class_Rings_Ono__zero__divisors @t41)) % 41.55/41.75 (define @t164 () (tptp.class_Rings_Omult__zero @t41)) % 41.55/41.75 (define @t165 () (and @t131 @t164 @t163 @t162)) % 41.55/41.75 (define @t166 () (@list @t102 @t145 @t41)) % 41.55/41.75 (define @t167 () (tptp.hAPP @t86 @t66)) % 41.55/41.75 (define @t168 () (tptp.hAPP @t87 @t79)) % 41.55/41.75 (define @t169 () (tptp.class_Groups_Ocomm__monoid__mult @t41)) % 41.55/41.75 (define @t170 () (tptp.hAPP @t167 @t20)) % 41.55/41.75 (define @t171 () (@list @t40 @t41)) % 41.55/41.75 (define @t172 () (tptp.c_Groups_Ominus__class_Ominus @t42 @t89 @t133)) % 41.55/41.75 (define @t173 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t20 @t79)) % 41.55/41.75 (define @t174 () (tptp.c_Polynomial_OpCons @t41 @t79 @t133)) % 41.55/41.75 (define @t175 () (tptp.c_Polynomial_OpCons @t41 @t20 @t89)) % 41.55/41.75 (define @t176 () (tptp.class_Groups_Oab__group__add @t41)) % 41.55/41.75 (define @t177 () (@list @t133 @t79 @t89 @t20 @t41)) % 41.55/41.75 (define @t178 () (@var "T_b" $$unsorted)) % 41.55/41.75 (define @t179 () (tptp.tc_Polynomial_Opoly @t178)) % 41.55/41.75 (define @t180 () (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t89)) % 41.55/41.75 (define @t181 () (tptp.c_Groups_Otimes__class_Otimes @t42)) % 41.55/41.75 (define @t182 () (tptp.hAPP @t181 @t89)) % 41.55/41.75 (define @t183 () (tptp.class_Rings_Ocomm__semiring__0 @t41)) % 41.55/41.75 (define @t184 () (@list @t89 @t41)) % 41.55/41.75 (define @t185 () (@list @t133 @t41)) % 41.55/41.75 (define @t186 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t20 @t79)) % 41.55/41.75 (define @t187 () (tptp.hAPP @t56 @t72)) % 41.55/41.75 (define @t188 () (tptp.hAPP @t187 @t40)) % 41.55/41.75 (define @t189 () (= @t40 @t19)) % 41.55/41.75 (define @t190 () (not @t189)) % 41.55/41.75 (define @t191 () (tptp.class_Rings_Osemiring__0 @t41)) % 41.55/41.75 (define @t192 () (and @t131 @t191)) % 41.55/41.75 (define @t193 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t44 @t20)) % 41.55/41.75 (define @t194 () (@var "V_m_2" $$unsorted)) % 41.55/41.75 (define @t195 () (= @t194 @t102)) % 41.55/41.75 (define @t196 () (= @t143 @t43)) % 41.55/41.75 (define @t197 () (and @t159 @t196)) % 41.55/41.75 (define @t198 () (= (= @t147 @t43) @t197)) % 41.55/41.75 (define @t199 () (=> @t132 @t198)) % 41.55/41.75 (define @t200 () (@list @t143 @t145 @t41)) % 41.55/41.75 (define @t201 () (forall @t200 @t199)) % 41.55/41.75 (define @t202 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t79)) % 41.55/41.75 (define @t203 () (@list @t79 @t40 @t20 @t41)) % 41.55/41.75 (define @t204 () (= @t20 @t79)) % 41.55/41.75 (define @t205 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t44)) % 41.55/41.75 (define @t206 () (tptp.class_Rings_Oring__1 @t41)) % 41.55/41.75 (define @t207 () (@var "B_r" $$unsorted)) % 41.55/41.75 (define @t208 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_r____)) % 41.55/41.75 (define @t209 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_s____)) % 41.55/41.75 (define @t210 () (@list @t118)) % 41.55/41.75 (define @t211 () (@list @t40)) % 41.55/41.75 (define @t212 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 @t126)) % 41.55/41.75 (define @t213 () (tptp.hAPP @t56 @t63)) % 41.55/41.75 (define @t214 () (tptp.hAPP @t86 @t63)) % 41.55/41.75 (define @t215 () (tptp.hAPP @t213 @t40)) % 41.55/41.75 (define @t216 () (tptp.hAPP @t86 @t115)) % 41.55/41.75 (define @t217 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t115 @t44)) % 41.55/41.75 (define @t218 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t115)) % 41.55/41.75 (define @t219 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t118)) % 41.55/41.75 (define @t220 () (tptp.class_Rings_Olinordered__idom @t41)) % 41.55/41.75 (define @t221 () (@list @t115 @t118 @t41)) % 41.55/41.75 (define @t222 () (tptp.hAPP @t86 @t118)) % 41.55/41.75 (define @t223 () (tptp.hAPP @t222 @t115)) % 41.55/41.75 (define @t224 () (@var "V_k" $$unsorted)) % 41.55/41.75 (define @t225 () (tptp.c_Nat_OSuc @t19)) % 41.55/41.75 (define @t226 () (@list @t224)) % 41.55/41.75 (define @t227 () (tptp.c_Nat_OSuc @t40)) % 41.55/41.75 (define @t228 () (tptp.c_Nat_OSuc @t63)) % 41.55/41.75 (define @t229 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t228 @t227)) % 41.55/41.75 (define @t230 () (@list @t40 @t63)) % 41.55/41.75 (define @t231 () (@var "B_m" $$unsorted)) % 41.55/41.75 (define @t232 () (@var "B_q" $$unsorted)) % 41.55/41.75 (define @t233 () (@var "B_p" $$unsorted)) % 41.55/41.75 (define @t234 () (@list @t231)) % 41.55/41.75 (define @t235 () (= @t102 @t126)) % 41.55/41.75 (define @t236 () (= @t194 @t126)) % 41.55/41.75 (define @t237 () (and @t236 @t235)) % 41.55/41.75 (define @t238 () (tptp.hAPP @t122 @t194)) % 41.55/41.75 (define @t239 () (tptp.hAPP @t238 @t102)) % 41.55/41.75 (define @t240 () (@list @t102 @t194)) % 41.55/41.75 (define @t241 () (tptp.hAPP @t122 @t40)) % 41.55/41.75 (define @t242 () (@list @t194)) % 41.55/41.75 (define @t243 () (tptp.hAPP @t241 @t63)) % 41.55/41.75 (define @t244 () (= @t194 @t225)) % 41.55/41.75 (define @t245 () (tptp.c_Polynomial_Opoly @t41 @t143)) % 41.55/41.75 (define @t246 () (tptp.class_Int_Oring__char__0 @t41)) % 41.55/41.75 (define @t247 () (and @t246 @t94)) % 41.55/41.75 (define @t248 () (@list @t142 @t143 @t41)) % 41.55/41.75 (define @t249 () (tptp.hAPP @t241 @t224)) % 41.55/41.75 (define @t250 () (@list @t224 @t40 @t63)) % 41.55/41.75 (define @t251 () (@var "V_k_2" $$unsorted)) % 41.55/41.75 (define @t252 () (tptp.hAPP @t122 (tptp.c_Nat_OSuc @t251))) % 41.55/41.75 (define @t253 () (tptp.hAPP @t252 @t102)) % 41.55/41.75 (define @t254 () (tptp.hAPP @t252 @t194)) % 41.55/41.75 (define @t255 () (@list @t102 @t194 @t251)) % 41.55/41.75 (define @t256 () (= @t118 @t115)) % 41.55/41.75 (define @t257 () (@list @t115 @t118)) % 41.55/41.75 (define @t258 () (@var "V_nat_H_2" $$unsorted)) % 41.55/41.75 (define @t259 () (@var "V_nat_2" $$unsorted)) % 41.55/41.75 (define @t260 () (@list @t63)) % 41.55/41.75 (define @t261 () (= @t102 @t225)) % 41.55/41.75 (define @t262 () (@var "V_nat_H_1" $$unsorted)) % 41.55/41.75 (define @t263 () (@var "V_nat_H" $$unsorted)) % 41.55/41.75 (define @t264 () (tptp.c_Nat_OSuc @t194)) % 41.55/41.75 (define @t265 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t102 @t264)) % 41.55/41.75 (define @t266 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t194 @t102)) % 41.55/41.75 (define @t267 () (or @t266 @t195)) % 41.55/41.75 (define @t268 () (tptp.c_Nat_OSuc @t102)) % 41.55/41.75 (define @t269 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t194 @t268)) % 41.55/41.75 (define @t270 () (= @t265 (= @t102 @t194))) % 41.55/41.75 (define @t271 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t102 @t194)) % 41.55/41.75 (define @t272 () (@list @t194 @t102)) % 41.55/41.75 (define @t273 () (= @t63 @t40)) % 41.55/41.75 (define @t274 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t63)) % 41.55/41.75 (define @t275 () (@list @t63 @t40)) % 41.55/41.75 (define @t276 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t63 @t227)) % 41.55/41.75 (define @t277 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t228 @t40)) % 41.55/41.75 (define @t278 () (tptp.c_Nat_OSuc @t110)) % 41.55/41.75 (define @t279 () (@var "V_j" $$unsorted)) % 41.55/41.75 (define @t280 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t279 @t224)) % 41.55/41.75 (define @t281 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t110 @t279)) % 41.55/41.75 (define @t282 () (@list @t224 @t279 @t110)) % 41.55/41.75 (define @t283 () (not @t109)) % 41.55/41.75 (define @t284 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t268 @t194)) % 41.55/41.75 (define @t285 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t194 @t102)) % 41.55/41.75 (define @t286 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t63 @t227)) % 41.55/41.75 (define @t287 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t228 @t40)) % 41.55/41.75 (define @t288 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t63 @t40)) % 41.55/41.75 (define @t289 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t224 @t288)) % 41.55/41.75 (define @t290 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t224 @t40)) % 41.55/41.75 (define @t291 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t224 @t63)) % 41.55/41.75 (define @t292 () (@list @t40 @t63 @t224)) % 41.55/41.75 (define @t293 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t228 @t40)) % 41.55/41.75 (define @t294 () (= @t194 @t19)) % 41.55/41.75 (define @t295 () (@list @t118 @t41)) % 41.55/41.75 (define @t296 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t133) @t118)) % 41.55/41.75 (define @t297 () (tptp.c_Polynomial_Opoly @t41 @t89)) % 41.55/41.75 (define @t298 () (tptp.hAPP @t297 @t118)) % 41.55/41.75 (define @t299 () (tptp.class_Rings_Ocomm__ring @t41)) % 41.55/41.75 (define @t300 () (@list @t118 @t133 @t89 @t41)) % 41.55/41.75 (define @t301 () (tptp.c_Polynomial_Opoly @t41 @t43)) % 41.55/41.75 (define @t302 () (@list @t143 @t41)) % 41.55/41.75 (define @t303 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t63 @t40)) % 41.55/41.75 (define @t304 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t224)) % 41.55/41.75 (define @t305 () (tptp.hAPP @t122 @t224)) % 41.55/41.75 (define @t306 () (tptp.hAPP @t305 @t40)) % 41.55/41.75 (define @t307 () (tptp.hAPP @t305 @t63)) % 41.55/41.75 (define @t308 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t40 @t63)) % 41.55/41.75 (define @t309 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t63)) % 41.55/41.75 (define @t310 () (tptp.hAPP @t122 @t102)) % 41.55/41.75 (define @t311 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t194)) % 41.55/41.75 (define @t312 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t225 @t63)) % 41.55/41.75 (define @t313 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t225 @t40)) % 41.55/41.75 (define @t314 () (@var "B_j" $$unsorted)) % 41.55/41.75 (define @t315 () (@list @t314)) % 41.55/41.75 (define @t316 () (@list @t102)) % 41.55/41.75 (define @t317 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t102)) % 41.55/41.75 (define @t318 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t53)) % 41.55/41.75 (define @t319 () (= @t54 @t53)) % 41.55/41.75 (define @t320 () (tptp.c_Nat_OSuc @t225)) % 41.55/41.75 (define @t321 () (@list @t53 @t54 @t41)) % 41.55/41.75 (define @t322 () (tptp.hAPP @t65 @t227)) % 41.55/41.75 (define @t323 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t40)) % 41.55/41.75 (define @t324 () (tptp.c_Nat_OSuc @t212)) % 41.55/41.75 (define @t325 () (@list @t40 @t110)) % 41.55/41.75 (define @t326 () (tptp.c_Polynomial_Odegree @t41 @t172)) % 41.55/41.75 (define @t327 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t134 @t40)) % 41.55/41.75 (define @t328 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t90 @t40)) % 41.55/41.75 (define @t329 () (@list @t133 @t40 @t89 @t41)) % 41.55/41.75 (define @t330 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t134 @t40)) % 41.55/41.75 (define @t331 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t90 @t40)) % 41.55/41.75 (define @t332 () (tptp.hAPP @t182 @t133)) % 41.55/41.75 (define @t333 () (@var "V_r" $$unsorted)) % 41.55/41.75 (define @t334 () (tptp.hAPP @t80 @t227)) % 41.55/41.75 (define @t335 () (tptp.c_Orderings_Oord__class_Oless @t41 @t115 @t118)) % 41.55/41.75 (define @t336 () (tptp.c_Orderings_Oord__class_Oless @t41 @t118 @t115)) % 41.55/41.75 (define @t337 () (not @t336)) % 41.55/41.75 (define @t338 () (not @t256)) % 41.55/41.75 (define @t339 () (=> @t338 (=> @t337 @t335))) % 41.55/41.75 (define @t340 () (tptp.c_Nat_OSuc @t90)) % 41.55/41.75 (define @t341 () (tptp.c_Polynomial_Odegree @t41 @t175)) % 41.55/41.75 (define @t342 () (= @t63 @t19)) % 41.55/41.75 (define @t343 () (= @t251 @t19)) % 41.55/41.75 (define @t344 () (or @t195 @t343)) % 41.55/41.75 (define @t345 () (tptp.hAPP @t310 @t251)) % 41.55/41.75 (define @t346 () (tptp.hAPP @t238 @t251)) % 41.55/41.75 (define @t347 () (@list @t102 @t251 @t194)) % 41.55/41.75 (define @t348 () (tptp.hAPP @t122 @t251)) % 41.55/41.75 (define @t349 () (tptp.hAPP @t348 @t102)) % 41.55/41.75 (define @t350 () (tptp.hAPP @t348 @t194)) % 41.55/41.75 (define @t351 () (= @t350 @t349)) % 41.55/41.75 (define @t352 () (=> @t93 (= @t341 @t340))) % 41.55/41.75 (define @t353 () (@var "V_c" $$unsorted)) % 41.55/41.75 (define @t354 () (tptp.c_Rings_Odvd__class_Odvd @t41 @t20 @t353)) % 41.55/41.75 (define @t355 () (tptp.c_Rings_Odvd__class_Odvd @t41 @t79 @t353)) % 41.55/41.75 (define @t356 () (tptp.c_Rings_Odvd__class_Odvd @t41 @t20 @t79)) % 41.55/41.75 (define @t357 () (@list @t353 @t79 @t20 @t41)) % 41.55/41.75 (define @t358 () (not @t195)) % 41.55/41.75 (define @t359 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 @t115)) % 41.55/41.75 (define @t360 () (not @t273)) % 41.55/41.75 (define @t361 () (@var "V_t" $$unsorted)) % 41.55/41.75 (define @t362 () (@var "V_s" $$unsorted)) % 41.55/41.75 (define @t363 () (@var "V_P_2" $$unsorted)) % 41.55/41.75 (define @t364 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t363 @t102) @t194))) % 41.55/41.75 (define @t365 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t110 @t279)) % 41.55/41.75 (define @t366 () (tptp.hAPP @t123 @t63)) % 41.55/41.75 (define @t367 () (tptp.hAPP @t122 @t279)) % 41.55/41.75 (define @t368 () (tptp.hAPP @t367 @t224)) % 41.55/41.75 (define @t369 () (tptp.hAPP @t122 @t110)) % 41.55/41.75 (define @t370 () (tptp.hAPP @t369 @t224)) % 41.55/41.75 (define @t371 () (tptp.hAPP @t305 @t279)) % 41.55/41.75 (define @t372 () (tptp.hAPP @t305 @t110)) % 41.55/41.75 (define @t373 () (@var "V_l" $$unsorted)) % 41.55/41.75 (define @t374 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t373)) % 41.55/41.75 (define @t375 () (@list @t373 @t224 @t279 @t110)) % 41.55/41.75 (define @t376 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t110 @t279)) % 41.55/41.75 (define @t377 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t376 @t224)) % 41.55/41.75 (define @t378 () (tptp.hAPP @t123 @t224)) % 41.55/41.75 (define @t379 () (tptp.hAPP @t86 @t72)) % 41.55/41.75 (define @t380 () (= (tptp.hAPP @t379 @t20) @t72)) % 41.55/41.75 (define @t381 () (= (tptp.hAPP @t87 @t72) @t72)) % 41.55/41.75 (define @t382 () (tptp.hAPP @t86 @t145)) % 41.55/41.75 (define @t383 () (tptp.hAPP @t382 @t55)) % 41.55/41.75 (define @t384 () (@list @t55 @t145 @t41)) % 41.55/41.75 (define @t385 () (= @t168 @t72)) % 41.55/41.75 (define @t386 () (= @t79 @t72)) % 41.55/41.75 (define @t387 () (not @t386)) % 41.55/41.75 (define @t388 () (@list @t79 @t20 @t41)) % 41.55/41.75 (define @t389 () (not (= @t44 @t72))) % 41.55/41.75 (define @t390 () (forall @t101 (=> @t162 @t389))) % 41.55/41.75 (define @t391 () (@var "V_c_2" $$unsorted)) % 41.55/41.75 (define @t392 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t391)) % 41.55/41.75 (define @t393 () (@list @t391 @t143 @t41)) % 41.55/41.75 (define @t394 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t79)) % 41.55/41.75 (define @t395 () (tptp.hAPP @t87 @t394)) % 41.55/41.75 (define @t396 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t168)) % 41.55/41.75 (define @t397 () (tptp.class_Rings_Oring @t41)) % 41.55/41.75 (define @t398 () (tptp.hAPP @t86 @t148)) % 41.55/41.75 (define @t399 () (tptp.hAPP @t398 @t79)) % 41.55/41.75 (define @t400 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t55)) % 41.55/41.75 (define @t401 () (= @t145 @t400)) % 41.55/41.75 (define @t402 () (tptp.hAPP @t86 @t55)) % 41.55/41.75 (define @t403 () (tptp.hAPP @t86 @t79)) % 41.55/41.75 (define @t404 () (tptp.hAPP @t403 @t20)) % 41.55/41.75 (define @t405 () (tptp.hAPP @t403 @t353)) % 41.55/41.75 (define @t406 () (tptp.c_Rings_Odvd__class_Odvd @t41 @t20 @t405)) % 41.55/41.75 (define @t407 () (@list @t79 @t353 @t20 @t41)) % 41.55/41.75 (define @t408 () (@var "V_d" $$unsorted)) % 41.55/41.75 (define @t409 () (tptp.hAPP @t403 @t408)) % 41.55/41.75 (define @t410 () (tptp.hAPP @t87 @t353)) % 41.55/41.75 (define @t411 () (@list @t408 @t353 @t79 @t20 @t41)) % 41.55/41.75 (define @t412 () (tptp.class_Rings_Odvd @t41)) % 41.55/41.75 (define @t413 () (tptp.c_Rings_Odvd__class_Odvd @t41 @t168 @t353)) % 41.55/41.75 (define @t414 () (@var "V_z" $$unsorted)) % 41.55/41.75 (define @t415 () (tptp.class_Rings_Ocomm__ring__1 @t41)) % 41.55/41.75 (define @t416 () (@list @t414 @t115 @t118 @t41)) % 41.55/41.75 (define @t417 () (tptp.c_Rings_Odvd__class_Odvd @t41 @t54 @t53)) % 41.55/41.75 (define @t418 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t54)) % 41.55/41.75 (define @t419 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t251)) % 41.55/41.75 (define @t420 () (and @t419 @t266)) % 41.55/41.75 (define @t421 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t350 @t349)) % 41.55/41.75 (define @t422 () (= @t288 @t19)) % 41.55/41.75 (define @t423 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t373 @t63)) % 41.55/41.75 (define @t424 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t373 @t40)) % 41.55/41.75 (define @t425 () (@list @t373 @t40 @t63)) % 41.55/41.75 (define @t426 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 @t110))) % 41.55/41.75 (define @t427 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t110 @t40)) % 41.55/41.75 (define @t428 () (=> @t427 (= @t426 @t110))) % 41.55/41.75 (define @t429 () (forall @t325 @t428)) % 41.55/41.75 (define @t430 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t102 @t251)) % 41.55/41.75 (define @t431 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t194 @t251)) % 41.55/41.75 (define @t432 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t251 @t102)) % 41.55/41.75 (define @t433 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t251 @t194)) % 41.55/41.75 (define @t434 () (not (tptp.c_Rings_Odvd__class_Odvd @t42 (tptp.hAPP @t149 (tptp.c_Nat_OSuc @t91)) @t89))) % 41.55/41.75 (define @t435 () (tptp.hAPP @t87 @t20)) % 41.55/41.75 (define @t436 () (tptp.class_Rings_Olinordered__ring @t41)) % 41.55/41.75 (define @t437 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t55 @t72)) % 41.55/41.75 (define @t438 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t145 @t72)) % 41.55/41.75 (define @t439 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t55)) % 41.55/41.75 (define @t440 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t145)) % 41.55/41.75 (define @t441 () (tptp.class_Rings_Olinordered__ring__strict @t41)) % 41.55/41.75 (define @t442 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t168)) % 41.55/41.75 (define @t443 () (tptp.class_Rings_Oordered__cancel__semiring @t41)) % 41.55/41.75 (define @t444 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t168 @t72)) % 41.55/41.75 (define @t445 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t79 @t72)) % 41.55/41.75 (define @t446 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t20 @t72)) % 41.55/41.75 (define @t447 () (tptp.class_Rings_Oordered__ring @t41)) % 41.55/41.75 (define @t448 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t410 @t405)) % 41.55/41.75 (define @t449 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t353)) % 41.55/41.75 (define @t450 () (tptp.class_Rings_Oordered__semiring @t41)) % 41.55/41.75 (define @t451 () (tptp.hAPP @t86 @t353)) % 41.55/41.75 (define @t452 () (tptp.hAPP @t451 @t79)) % 41.55/41.75 (define @t453 () (tptp.hAPP @t451 @t20)) % 41.55/41.75 (define @t454 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t453 @t452)) % 41.55/41.75 (define @t455 () (=> @t186 (=> @t449 @t454))) % 41.55/41.75 (define @t456 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t353 @t72)) % 41.55/41.75 (define @t457 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t79 @t20)) % 41.55/41.75 (define @t458 () (@list @t353 @t20 @t79 @t41)) % 41.55/41.75 (define @t459 () (=> @t449 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t410 @t409))) % 41.55/41.75 (define @t460 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t353 @t408)) % 41.55/41.75 (define @t461 () (tptp.c_Orderings_Oord__class_Oless @t41 @t55 @t145)) % 41.55/41.75 (define @t462 () (tptp.c_Orderings_Oord__class_Oless @t41 @t391 @t72)) % 41.55/41.75 (define @t463 () (tptp.c_Orderings_Oord__class_Oless @t41 @t145 @t55)) % 41.55/41.75 (define @t464 () (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t391)) % 41.55/41.75 (define @t465 () (or (and @t464 @t463) (and @t462 @t461))) % 41.55/41.75 (define @t466 () (tptp.hAPP @t402 @t391)) % 41.55/41.75 (define @t467 () (tptp.hAPP @t382 @t391)) % 41.55/41.75 (define @t468 () (@list @t55 @t391 @t145 @t41)) % 41.55/41.75 (define @t469 () (tptp.hAPP @t86 @t391)) % 41.55/41.75 (define @t470 () (tptp.hAPP @t469 @t55)) % 41.55/41.75 (define @t471 () (tptp.hAPP @t469 @t145)) % 41.55/41.75 (define @t472 () (tptp.c_Orderings_Oord__class_Oless @t41 @t471 @t470)) % 41.55/41.75 (define @t473 () (@list @t55 @t145 @t391 @t41)) % 41.55/41.75 (define @t474 () (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t168)) % 41.55/41.75 (define @t475 () (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t79)) % 41.55/41.75 (define @t476 () (tptp.class_Rings_Olinordered__semiring__strict @t41)) % 41.55/41.75 (define @t477 () (tptp.c_Orderings_Oord__class_Oless @t41 @t168 @t72)) % 41.55/41.75 (define @t478 () (tptp.c_Orderings_Oord__class_Oless @t41 @t79 @t72)) % 41.55/41.75 (define @t479 () (=> @t77 @t475)) % 41.55/41.75 (define @t480 () (@list @t20 @t79 @t41)) % 41.55/41.75 (define @t481 () (tptp.c_Orderings_Oord__class_Oless @t41 @t20 @t72)) % 41.55/41.75 (define @t482 () (tptp.c_Orderings_Oord__class_Oless @t41 @t410 @t405)) % 41.55/41.75 (define @t483 () (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t353)) % 41.55/41.75 (define @t484 () (tptp.c_Orderings_Oord__class_Oless @t41 @t453 @t452)) % 41.55/41.75 (define @t485 () (=> @t84 (=> @t483 @t484))) % 41.55/41.75 (define @t486 () (tptp.c_Orderings_Oord__class_Oless @t41 @t353 @t72)) % 41.55/41.75 (define @t487 () (tptp.c_Orderings_Oord__class_Oless @t41 @t79 @t20)) % 41.55/41.75 (define @t488 () (tptp.c_Orderings_Oord__class_Oless @t41 @t145 @t72)) % 41.55/41.75 (define @t489 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t145)) % 41.55/41.75 (define @t490 () (@list @t145 @t41)) % 41.55/41.75 (define @t491 () (tptp.c_Rings_Odvd__class_Odvd @t41 @t145 @t55)) % 41.55/41.75 (define @t492 () (= @t391 @t72)) % 41.55/41.75 (define @t493 () (or @t492 @t491)) % 41.55/41.75 (define @t494 () (= @t54 @t44)) % 41.55/41.75 (define @t495 () (tptp.hAPP @t86 @t54)) % 41.55/41.75 (define @t496 () (tptp.hAPP @t495 @t54)) % 41.55/41.75 (define @t497 () (@list @t54 @t41)) % 41.55/41.75 (define @t498 () (=> @t419 @t285)) % 41.55/41.75 (define @t499 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t350 @t349)) % 41.55/41.75 (define @t500 () (@list @t353 @t79 @t20)) % 41.55/41.75 (define @t501 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t145 @t55)) % 41.55/41.75 (define @t502 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t471 @t470)) % 41.55/41.75 (define @t503 () (tptp.c_Orderings_Oord__class_Oless @t41 @t410 @t409)) % 41.55/41.75 (define @t504 () (=> @t449 @t503)) % 41.55/41.75 (define @t505 () (tptp.c_Orderings_Oord__class_Oless @t41 @t353 @t408)) % 41.55/41.75 (define @t506 () (=> @t449 @t84)) % 41.55/41.75 (define @t507 () (=> @t482 @t506)) % 41.55/41.75 (define @t508 () (tptp.class_Rings_Olinordered__semiring @t41)) % 41.55/41.75 (define @t509 () (=> @t484 @t506)) % 41.55/41.75 (define @t510 () (@list @t79 @t20 @t353 @t41)) % 41.55/41.75 (define @t511 () (=> @t483 @t186)) % 41.55/41.75 (define @t512 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t63 @t126)) % 41.55/41.75 (define @t513 () (tptp.hAPP @t105 @t89)) % 41.55/41.75 (define @t514 () (tptp.hAPP @t122 @t89)) % 41.55/41.75 (define @t515 () (tptp.hAPP @t513 @t63)) % 41.55/41.75 (define @t516 () (not @t342)) % 41.55/41.75 (define @t517 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t194 @t102)) % 41.55/41.75 (define @t518 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t350 @t349)) % 41.55/41.75 (define @t519 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t53 @t54)) % 41.55/41.75 (define @t520 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t54 @t53)) % 41.55/41.75 (define @t521 () (@list @t53 @t54)) % 41.55/41.75 (define @t522 () (and @t520 (not @t519))) % 41.55/41.75 (define @t523 () (not @t319)) % 41.55/41.75 (define @t524 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t79 @t20)) % 41.55/41.75 (define @t525 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t20 @t79)) % 41.55/41.75 (define @t526 () (and @t525 (not @t524))) % 41.55/41.75 (define @t527 () (not @t204)) % 41.55/41.75 (define @t528 () (@list @t79 @t20)) % 41.55/41.75 (define @t529 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t118 @t115)) % 41.55/41.75 (define @t530 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t115 @t118)) % 41.55/41.75 (define @t531 () (and @t529 (not @t530))) % 41.55/41.75 (define @t532 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t20 @t353)) % 41.55/41.75 (define @t533 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t79 @t353)) % 41.55/41.75 (define @t534 () (= @t79 @t353)) % 41.55/41.75 (define @t535 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t118 @t414)) % 41.55/41.75 (define @t536 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t115 @t414)) % 41.55/41.75 (define @t537 () (@list @t414 @t115 @t118)) % 41.55/41.75 (define @t538 () (and @t532 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t353 @t20)))) % 41.55/41.75 (define @t539 () (and @t535 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t414 @t118)))) % 41.55/41.75 (define @t540 () (=> (and @t536 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t414 @t115))) @t539)) % 41.55/41.75 (define @t541 () (not (= @t115 @t118))) % 41.55/41.75 (define @t542 () (@list @t55 @t145 @t102)) % 41.55/41.75 (define @t543 () (@list @t79 @t40 @t20)) % 41.55/41.75 (define @t544 () (tptp.hAPP @t119 (tptp.c_Nat_OSuc @t133))) % 41.55/41.75 (define @t545 () (tptp.hAPP @t119 @t133)) % 41.55/41.75 (define @t546 () (tptp.hAPP @t86 @t545)) % 41.55/41.75 (define @t547 () (@list @t133 @t118 @t41)) % 41.55/41.75 (define @t548 () (= @t168 @t404)) % 41.55/41.75 (define @t549 () (forall @t388 (=> @t49 @t548))) % 41.55/41.75 (define @t550 () (@var "V_ry" $$unsorted)) % 41.55/41.75 (define @t551 () (@var "V_lx" $$unsorted)) % 41.55/41.75 (define @t552 () (tptp.hAPP @t86 @t551)) % 41.55/41.75 (define @t553 () (@var "V_rx" $$unsorted)) % 41.55/41.75 (define @t554 () (tptp.hAPP @t86 @t553)) % 41.55/41.75 (define @t555 () (tptp.hAPP @t554 @t550)) % 41.55/41.75 (define @t556 () (tptp.hAPP @t552 @t555)) % 41.55/41.75 (define @t557 () (= @t556 (tptp.hAPP @t554 (tptp.hAPP @t552 @t550)))) % 41.55/41.75 (define @t558 () (@list @t550 @t553 @t551 @t41)) % 41.55/41.75 (define @t559 () (forall @t558 (=> @t49 @t557))) % 41.55/41.75 (define @t560 () (tptp.hAPP @t86 (tptp.hAPP @t552 @t553))) % 41.55/41.75 (define @t561 () (= @t556 (tptp.hAPP @t560 @t550))) % 41.55/41.75 (define @t562 () (forall @t558 (=> @t49 @t561))) % 41.55/41.75 (define @t563 () (@var "V_ly" $$unsorted)) % 41.55/41.75 (define @t564 () (tptp.hAPP @t86 @t563)) % 41.55/41.75 (define @t565 () (tptp.hAPP @t86 (tptp.hAPP @t552 @t563))) % 41.55/41.75 (define @t566 () (tptp.hAPP @t565 @t553)) % 41.55/41.75 (define @t567 () (@list @t553 @t563 @t551 @t41)) % 41.55/41.75 (define @t568 () (= @t566 (tptp.hAPP @t560 @t563))) % 41.55/41.75 (define @t569 () (forall @t567 (=> @t49 @t568))) % 41.55/41.75 (define @t570 () (tptp.hAPP @t565 @t555)) % 41.55/41.75 (define @t571 () (@list @t550 @t553 @t563 @t551 @t41)) % 41.55/41.75 (define @t572 () (= @t570 (tptp.hAPP @t560 (tptp.hAPP @t564 @t550)))) % 41.55/41.75 (define @t573 () (forall @t571 (=> @t49 @t572))) % 41.55/41.75 (define @t574 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 41.55/41.75 (define @t575 () (= (tptp.hAPP (tptp.hAPP @t86 @t44) @t20) @t20)) % 41.55/41.75 (define @t576 () (= (tptp.hAPP @t87 @t44) @t20)) % 41.55/41.75 (define @t577 () (tptp.hAPP @t119 @t89)) % 41.55/41.75 (define @t578 () (@list @t133 @t89 @t118 @t41)) % 41.55/41.75 (define @t579 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t118)) % 41.55/41.75 (define @t580 () (tptp.hAPP @t222 @t545)) % 41.55/41.75 (define @t581 () (tptp.class_Groups_Ogroup__add @t41)) % 41.55/41.75 (define @t582 () (tptp.class_Groups_Oordered__ab__group__add @t41)) % 41.55/41.75 (define @t583 () (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t145)) % 41.55/41.75 (define @t584 () (tptp.class_Groups_Olinordered__ab__group__add @t41)) % 41.55/41.75 (define @t585 () (= @t54 @t72)) % 41.55/41.75 (define @t586 () (= (tptp.hAPP (tptp.hAPP @t86 @t168) @t353) (tptp.hAPP @t87 @t405))) % 41.55/41.75 (define @t587 () (tptp.class_Groups_Oab__semigroup__mult @t41)) % 41.55/41.75 (define @t588 () (forall @t357 (=> @t587 @t586))) % 41.55/41.75 (define @t589 () (@var "V_d_2" $$unsorted)) % 41.55/41.75 (define @t590 () (= @t391 @t589)) % 41.55/41.75 (define @t591 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t145 @t55)) % 41.55/41.75 (define @t592 () (= @t591 (tptp.c_Groups_Ominus__class_Ominus @t41 @t391 @t589))) % 41.55/41.75 (define @t593 () (@list @t589 @t391 @t55 @t145 @t41)) % 41.55/41.75 (define @t594 () (= @t591 @t72)) % 41.55/41.75 (define @t595 () (= @t72 @t145)) % 41.55/41.75 (define @t596 () (@list @t145 @t55 @t41)) % 41.55/41.75 (define @t597 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t173)) % 41.55/41.75 (define @t598 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t41 @t89)) % 41.55/41.75 (define @t599 () (tptp.class_Orderings_Opreorder @t41)) % 41.55/41.75 (define @t600 () (tptp.hAPP @t574 @t118)) % 41.55/41.75 (define @t601 () (tptp.hAPP @t600 @t115)) % 41.55/41.75 (define @t602 () (tptp.c_Polynomial_Opcompose @t41 @t89 @t133)) % 41.55/41.75 (define @t603 () (@var "V_one_2" $$unsorted)) % 41.55/41.75 (define @t604 () (@var "V_times_2" $$unsorted)) % 41.55/41.75 (define @t605 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t41 @t603 @t604) @t145)) % 41.55/41.75 (define @t606 () (tptp.tc_fun @t41 @t178)) % 41.55/41.75 (define @t607 () (tptp.c_Orderings_Oord__class_Oless__eq @t606 @t2 @t1)) % 41.55/41.75 (define @t608 () (tptp.class_Orderings_Oord @t178)) % 41.55/41.75 (define @t609 () (@list @t1 @t2 @t41 @t178)) % 41.55/41.75 (define @t610 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t115 @t118)) % 41.55/41.75 (define @t611 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t118 @t115)) % 41.55/41.75 (define @t612 () (tptp.class_Orderings_Olinorder @t41)) % 41.55/41.75 (define @t613 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t53 @t54)) % 41.55/41.75 (define @t614 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t54 @t53)) % 41.55/41.75 (define @t615 () (tptp.class_Orderings_Oorder @t41)) % 41.55/41.75 (define @t616 () (= @t614 @t319)) % 41.55/41.75 (define @t617 () (@list @t54 @t53 @t41)) % 41.55/41.75 (define @t618 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t20 @t353)) % 41.55/41.75 (define @t619 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t79 @t353)) % 41.55/41.75 (define @t620 () (tptp.class_Orderings_Oord @t41)) % 41.55/41.75 (define @t621 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t353 @t20)) % 41.55/41.75 (define @t622 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t115 @t414)) % 41.55/41.75 (define @t623 () (@list @t118 @t115 @t41)) % 41.55/41.75 (define @t624 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t414 @t115)) % 41.55/41.75 (define @t625 () (@list @t414 @t118 @t115 @t41)) % 41.55/41.75 (define @t626 () (tptp.c_Orderings_Oord__class_Oless @t41 @t53 @t54)) % 41.55/41.75 (define @t627 () (tptp.c_Orderings_Oord__class_Oless @t41 @t54 @t53)) % 41.55/41.75 (define @t628 () (not @t627)) % 41.55/41.75 (define @t629 () (= @t628 @t319)) % 41.55/41.75 (define @t630 () (tptp.c_Orderings_Oord__class_Oless @t41 @t20 @t353)) % 41.55/41.75 (define @t631 () (tptp.c_Orderings_Oord__class_Oless @t41 @t79 @t353)) % 41.55/41.75 (define @t632 () (tptp.c_Orderings_Oord__class_Oless @t41 @t353 @t20)) % 41.55/41.75 (define @t633 () (tptp.c_Orderings_Oord__class_Oless @t41 @t118 @t414)) % 41.55/41.75 (define @t634 () (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t115 @t414) @t633)) % 41.55/41.75 (define @t635 () (tptp.c_Orderings_Oord__class_Oless @t41 @t414 @t118)) % 41.55/41.75 (define @t636 () (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t414 @t115) @t635)) % 41.55/41.75 (define @t637 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t40 @t63)) % 41.55/41.75 (define @t638 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t63 @t40)) % 41.55/41.75 (define @t639 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 41.55/41.75 (define @t640 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 41.55/41.75 (define @t641 () (tptp.hAPP @t640 @t224)) % 41.55/41.75 (define @t642 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t115)) % 41.55/41.75 (define @t643 () (tptp.c_Polynomial_Opos__poly @t41 @t143)) % 41.55/41.75 (define @t644 () (tptp.class_RealVector_Oreal__normed__algebra @t41)) % 41.55/41.75 (define @t645 () (@var "V_w" $$unsorted)) % 41.55/41.75 (define @t646 () (@list @t645)) % 41.55/41.75 (define @t647 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t645 @t414)) % 41.55/41.75 (define @t648 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t414 @t645)) % 41.55/41.75 (define @t649 () (@list @t645 @t414)) % 41.55/41.75 (define @t650 () (@var "V_w_2" $$unsorted)) % 41.55/41.75 (define @t651 () (@var "V_z_2" $$unsorted)) % 41.55/41.75 (define @t652 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t110 @t279)) % 41.55/41.75 (define @t653 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t224)) % 41.55/41.75 (define @t654 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t110 @t279)) % 41.55/41.75 (define @t655 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 41.55/41.75 (define @t656 () (@var "V_z2" $$unsorted)) % 41.55/41.75 (define @t657 () (tptp.hAPP @t640 @t656)) % 41.55/41.75 (define @t658 () (tptp.hAPP @t657 @t645)) % 41.55/41.75 (define @t659 () (@var "V_z1" $$unsorted)) % 41.55/41.75 (define @t660 () (tptp.hAPP @t640 @t659)) % 41.55/41.75 (define @t661 () (tptp.hAPP @t660 @t645)) % 41.55/41.75 (define @t662 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t659 @t656)) % 41.55/41.75 (define @t663 () (@list @t645 @t656 @t659)) % 41.55/41.75 (define @t664 () (@var "V_z3" $$unsorted)) % 41.55/41.75 (define @t665 () (@list @t664 @t656 @t659)) % 41.55/41.75 (define @t666 () (tptp.hAPP @t640 @t414)) % 41.55/41.75 (define @t667 () (tptp.hAPP @t666 @t645)) % 41.55/41.75 (define @t668 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t414)) % 41.55/41.75 (define @t669 () (tptp.hAPP @t640 @t645)) % 41.55/41.75 (define @t670 () (tptp.hAPP @t669 @t656)) % 41.55/41.75 (define @t671 () (tptp.hAPP @t669 @t659)) % 41.55/41.75 (define @t672 () (@list @t656 @t659 @t645)) % 41.55/41.75 (define @t673 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t650 @t651)) % 41.55/41.75 (define @t674 () (@list @t651 @t650)) % 41.55/41.75 (define @t675 () (@var "V_l_2" $$unsorted)) % 41.55/41.75 (define @t676 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t251 @t675)) % 41.55/41.75 (define @t677 () (@list @t675 @t251)) % 41.55/41.75 (define @t678 () (@list @t414)) % 41.55/41.75 (define @t679 () (@list @t651)) % 41.55/41.75 (define @t680 () (tptp.c_Polynomial_Opos__poly @t41 @t133)) % 41.55/41.75 (define @t681 () (tptp.c_Polynomial_Opos__poly @t41 @t89)) % 41.55/41.75 (define @t682 () (tptp.c_Polynomial_Opos__poly @t41 (tptp.c_Groups_Ominus__class_Ominus @t42 @t53 @t54))) % 41.55/41.75 (define @t683 () (@list @t115 @t41)) % 41.55/41.75 (define @t684 () (@var "V_ya" $$unsorted)) % 41.55/41.75 (define @t685 () (tptp.hAPP @t216 @t684)) % 41.55/41.75 (define @t686 () (tptp.hAPP @t222 @t684)) % 41.55/41.75 (define @t687 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t118 @t115)) % 41.55/41.75 (define @t688 () (tptp.hAPP @t86 @t687)) % 41.55/41.75 (define @t689 () (@list @t684 @t115 @t118 @t41)) % 41.55/41.75 (define @t690 () (@var "V_a_H" $$unsorted)) % 41.55/41.75 (define @t691 () (tptp.hAPP (tptp.hAPP @t86 @t690) @t79)) % 41.55/41.75 (define @t692 () (@list @t79 @t690 @t20 @t41)) % 41.55/41.75 (define @t693 () (@var "V_xa" $$unsorted)) % 41.55/41.75 (define @t694 () (tptp.hAPP @t86 @t693)) % 41.55/41.75 (define @t695 () (tptp.hAPP @t694 @t115)) % 41.55/41.75 (define @t696 () (tptp.hAPP @t694 @t118)) % 41.55/41.75 (define @t697 () (@list @t115 @t118 @t693 @t41)) % 41.55/41.75 (define @t698 () (@var "V_b_H" $$unsorted)) % 41.55/41.75 (define @t699 () (tptp.hAPP @t87 @t698)) % 41.55/41.75 (define @t700 () (@list @t698 @t79 @t20 @t41)) % 41.55/41.75 (define @t701 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t118)) % 41.55/41.75 (define @t702 () (@var "V_t_2" $$unsorted)) % 41.55/41.75 (define @t703 () (tptp.hAPP @t640 @t251)) % 41.55/41.75 (define @t704 () (tptp.hAPP @t703 @t194)) % 41.55/41.75 (define @t705 () (= @t251 @t639)) % 41.55/41.75 (define @t706 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t115)) % 41.55/41.75 (define @t707 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t589 @t702)) % 41.55/41.75 (define @t708 () (@list @t702 @t589)) % 41.55/41.75 (define @t709 () (tptp.c_Nat__Transfer_Otsub @t118 @t115)) % 41.55/41.75 (define @t710 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t115 @t118)) % 41.55/41.75 (define @t711 () (=> @t710 (= @t709 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t118 @t115)))) % 41.55/41.75 (define @t712 () (@list @t118 @t115)) % 41.55/41.75 (define @t713 () (tptp.class_Lattices_Oboolean__algebra @t41)) % 41.55/41.75 (define @t714 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t115)) % 41.55/41.75 (define @t715 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t41)) % 41.55/41.75 (define @t716 () (tptp.hAPP @t222 @t118)) % 41.55/41.75 (define @t717 () (@var "V_B_2" $$unsorted)) % 41.55/41.75 (define @t718 () (@var "V_A_2" $$unsorted)) % 41.55/41.75 (define @t719 () (tptp.hAPP @t718 @t54)) % 41.55/41.75 (define @t720 () (tptp.tc_fun @t178 @t41)) % 41.55/41.75 (define @t721 () (tptp.c_Groups_Osgn__class_Osgn @t42 @t118)) % 41.55/41.75 (define @t722 () (tptp.c_Orderings_Oord__class_Oless @t42 @t43 @t118)) % 41.55/41.75 (define @t723 () (= @t118 @t43)) % 41.55/41.75 (define @t724 () (tptp.hAPP @t703 @t589)) % 41.55/41.75 (define @t725 () (tptp.hBOOL (tptp.hAPP @t363 @t3))) % 41.55/41.75 (define @t726 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t251)) % 41.55/41.75 (define @t727 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t589)) % 41.55/41.75 (define @t728 () (@list @t251 @t363 @t589)) % 41.55/41.75 (define @t729 () (tptp.c_Groups_Osgn__class_Osgn @t41 @t145)) % 41.55/41.75 (define @t730 () (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t72) @t72)) % 41.55/41.75 (define @t731 () (tptp.class_Groups_Osgn__if @t41)) % 41.55/41.75 (define @t732 () (tptp.c_Groups_Osgn__class_Osgn @t41 @t20)) % 41.55/41.75 (define @t733 () (tptp.c_Groups_Osgn__class_Osgn @t41 @t118)) % 41.55/41.75 (define @t734 () (tptp.class_RealVector_Oreal__normed__vector @t41)) % 41.55/41.75 (define @t735 () (tptp.c_Polynomial_Omonom @t41 @t145 @t102)) % 41.55/41.75 (define @t736 () (tptp.c_Polynomial_Omonom @t41 @t20 @t40)) % 41.55/41.75 (define @t737 () (tptp.c_Polynomial_Odegree @t41 @t736)) % 41.55/41.75 (define @t738 () (tptp.c_Polynomial_Omonom @t41 @t79 @t40)) % 41.55/41.75 (define @t739 () (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t118)) % 41.55/41.75 (define @t740 () (= @t118 @t72)) % 41.55/41.75 (define @t741 () (tptp.c_Polynomial_Opoly__rec @t41 @t178 @t651 @t2 @t143)) % 41.55/41.75 (define @t742 () (tptp.hAPP (tptp.hAPP @t2 @t145) @t143)) % 41.55/41.75 (define @t743 () (tptp.c_Polynomial_Opoly__rec @t41 @t178 @t651 @t2 (tptp.c_Polynomial_OpCons @t178 @t145 @t143))) % 41.55/41.75 (define @t744 () (tptp.c_Groups_Ozero__class_Ozero @t179)) % 41.55/41.75 (define @t745 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t178)) @t744) @t651) @t651)) % 41.55/41.75 (define @t746 () (tptp.class_Groups_Ozero @t178)) % 41.55/41.75 (define @t747 () (tptp.c_Polynomial_Osynthetic__div @t41 @t89 @t353)) % 41.55/41.75 (define @t748 () (tptp.c_Polynomial_Odegree @t41 @t143)) % 41.55/41.75 (define @t749 () (tptp.hAPP @t297 @t353)) % 41.55/41.75 (define @t750 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Int_Oint @t110)) % 41.55/41.75 (define @t751 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t110)) % 41.55/41.75 (define @t752 () (= @t110 @t639)) % 41.55/41.75 (define @t753 () (tptp.c_Polynomial_Ocoeff @t41 @t89)) % 41.55/41.75 (define @t754 () (tptp.hAPP @t753 @t40)) % 41.55/41.75 (define @t755 () (= @t754 @t72)) % 41.55/41.75 (define @t756 () (@var "V_v" $$unsorted)) % 41.55/41.75 (define @t757 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t756)) % 41.55/41.75 (define @t758 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t145 @t145)) % 41.55/41.75 (define @t759 () (tptp.c_Int_Onumber__class_Onumber__of @t178 @t756)) % 41.55/41.75 (define @t760 () (tptp.c_Groups_Otimes__class_Otimes @t178)) % 41.55/41.75 (define @t761 () (tptp.hAPP (tptp.hAPP @t760 @t79) @t759)) % 41.55/41.75 (define @t762 () (tptp.hAPP (tptp.hAPP @t760 @t20) @t759)) % 41.55/41.75 (define @t763 () (tptp.class_Int_Onumber @t178)) % 41.55/41.75 (define @t764 () (and @t763 (tptp.class_Rings_Osemiring @t178))) % 41.55/41.75 (define @t765 () (@list @t756 @t79 @t20 @t178)) % 41.55/41.75 (define @t766 () (tptp.hAPP @t760 @t759)) % 41.55/41.75 (define @t767 () (tptp.hAPP @t766 @t353)) % 41.55/41.75 (define @t768 () (tptp.hAPP @t766 @t79)) % 41.55/41.75 (define @t769 () (@list @t353 @t79 @t756 @t178)) % 41.55/41.75 (define @t770 () (tptp.hAPP @t181 @t133)) % 41.55/41.75 (define @t771 () (tptp.c_Groups_Oplus__class_Oplus @t42 @t89 @t133)) % 41.55/41.75 (define @t772 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t55 @t145)) % 41.55/41.75 (define @t773 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t41)) % 41.55/41.75 (define @t774 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 @t72) @t20)) % 41.55/41.75 (define @t775 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t72 @t20) @t20)) % 41.55/41.75 (define @t776 () (tptp.hAPP @t86 @t650)) % 41.55/41.75 (define @t777 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 @t79)) % 41.55/41.75 (define @t778 () (tptp.hAPP @t86 @t777)) % 41.55/41.75 (define @t779 () (tptp.hAPP @t87 @t63)) % 41.55/41.75 (define @t780 () (= (tptp.hAPP @t778 @t353) (tptp.c_Groups_Oplus__class_Oplus @t41 @t410 @t405))) % 41.55/41.75 (define @t781 () (tptp.hAPP @t382 @t589)) % 41.55/41.75 (define @t782 () (@var "V_e" $$unsorted)) % 41.55/41.75 (define @t783 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t118 @t115)) % 41.55/41.75 (define @t784 () (tptp.class_Groups_Ocomm__monoid__add @t41)) % 41.55/41.75 (define @t785 () (tptp.class_Groups_Omonoid__add @t41)) % 41.55/41.75 (define @t786 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t79 @t353)) % 41.55/41.75 (define @t787 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t777 @t353)) % 41.55/41.75 (define @t788 () (= @t787 (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 @t786))) % 41.55/41.75 (define @t789 () (= @t55 @t391)) % 41.55/41.75 (define @t790 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t145 @t391)) % 41.55/41.75 (define @t791 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t145 @t55)) % 41.55/41.75 (define @t792 () (tptp.class_Groups_Ocancel__semigroup__add @t41)) % 41.55/41.75 (define @t793 () (@list @t391 @t55 @t145 @t41)) % 41.55/41.75 (define @t794 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t391 @t145)) % 41.55/41.75 (define @t795 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 @t353)) % 41.55/41.75 (define @t796 () (=> (= @t777 @t795) @t534)) % 41.55/41.75 (define @t797 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t353 @t20)) % 41.55/41.75 (define @t798 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t79 @t20)) % 41.55/41.75 (define @t799 () (@var "B_n" $$unsorted)) % 41.55/41.75 (define @t800 () (tptp.c_Polynomial_Ocoeff @t41 @t143)) % 41.55/41.75 (define @t801 () (@list @t799)) % 41.55/41.75 (define @t802 () (tptp.c_Polynomial_Ocoeff @t41 @t133)) % 41.55/41.75 (define @t803 () (tptp.hAPP @t802 @t40)) % 41.55/41.75 (define @t804 () (@list @t40 @t133 @t89 @t41)) % 41.55/41.75 (define @t805 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t353 @t408)) % 41.55/41.75 (define @t806 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 @t805)) % 41.55/41.75 (define @t807 () (@list @t408 @t353 @t20 @t41)) % 41.55/41.75 (define @t808 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t79 @t408)) % 41.55/41.75 (define @t809 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t645)) % 41.55/41.75 (define @t810 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t756)) % 41.55/41.75 (define @t811 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t810 @t809)) % 41.55/41.75 (define @t812 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t756 @t645)) % 41.55/41.75 (define @t813 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t812)) % 41.55/41.75 (define @t814 () (tptp.class_Int_Onumber__ring @t41)) % 41.55/41.75 (define @t815 () (@list @t645 @t756 @t41)) % 41.55/41.75 (define @t816 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t650)) % 41.55/41.75 (define @t817 () (tptp.class_Int_Onumber @t41)) % 41.55/41.75 (define @t818 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t53)) % 41.55/41.75 (define @t819 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t54)) % 41.55/41.75 (define @t820 () (@list @t414 @t645 @t756 @t41)) % 41.55/41.75 (define @t821 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t55 @t391)) % 41.55/41.75 (define @t822 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t41)) % 41.55/41.75 (define @t823 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t391 @t55)) % 41.55/41.75 (define @t824 () (tptp.c_Orderings_Oord__class_Oless @t41 @t795 @t786)) % 41.55/41.75 (define @t825 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t41)) % 41.55/41.75 (define @t826 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t353 @t79)) % 41.55/41.75 (define @t827 () (tptp.c_Orderings_Oord__class_Oless @t41 @t797 @t826)) % 41.55/41.75 (define @t828 () (tptp.c_Orderings_Oord__class_Oless @t41 @t795 @t808)) % 41.55/41.75 (define @t829 () (=> @t505 @t828)) % 41.55/41.75 (define @t830 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t795 @t786)) % 41.55/41.75 (define @t831 () (tptp.class_Groups_Oordered__ab__semigroup__add @t41)) % 41.55/41.75 (define @t832 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t797 @t826)) % 41.55/41.75 (define @t833 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t645)) % 41.55/41.75 (define @t834 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t756 @t833)) % 41.55/41.75 (define @t835 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t834)) % 41.55/41.75 (define @t836 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t777)) % 41.55/41.75 (define @t837 () (@var "V_v_2" $$unsorted)) % 41.55/41.75 (define @t838 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t837)) % 41.55/41.75 (define @t839 () (and @t763 (tptp.class_Rings_Oring @t178))) % 41.55/41.75 (define @t840 () (and @t814 @t220)) % 41.55/41.75 (define @t841 () (tptp.class_Groups_Oordered__comm__monoid__add @t41)) % 41.55/41.75 (define @t842 () (= @t53 @t72)) % 41.55/41.75 (define @t843 () (and @t585 @t842)) % 41.55/41.75 (define @t844 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t54 @t53) @t72)) % 41.55/41.75 (define @t845 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t79 @t795)) % 41.55/41.75 (define @t846 () (@list @t20 @t79 @t353 @t41)) % 41.55/41.75 (define @t847 () (= (tptp.c_Orderings_Oord__class_Oless @t41 @t758 @t72) @t488)) % 41.55/41.75 (define @t848 () (tptp.c_Orderings_Oord__class_Oless @t41 @t79 @t795)) % 41.55/41.75 (define @t849 () (=> @t631 @t848)) % 41.55/41.75 (define @t850 () (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t777)) % 41.55/41.75 (define @t851 () (=> @t475 @t850)) % 41.55/41.75 (define @t852 () (tptp.c_Orderings_Oord__class_Oless @t41 @t777 @t72)) % 41.55/41.75 (define @t853 () (=> @t478 @t852)) % 41.55/41.75 (define @t854 () (tptp.hAPP @t86 @t333)) % 41.55/41.75 (define @t855 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t496 (tptp.hAPP (tptp.hAPP @t86 @t53) @t53))) % 41.55/41.75 (define @t856 () (tptp.hAPP @t86 @t810)) % 41.55/41.75 (define @t857 () (tptp.hAPP @t856 @t809)) % 41.55/41.75 (define @t858 () (tptp.hAPP (tptp.hAPP @t640 @t756) @t645)) % 41.55/41.75 (define @t859 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t858)) % 41.55/41.75 (define @t860 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 @t44)) % 41.55/41.75 (define @t861 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t148 @t20) @t72)) % 41.55/41.75 (define @t862 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t44 @t44)) % 41.55/41.75 (define @t863 () (tptp.hAPP (tptp.hAPP @t86 @t860) @t63)) % 41.55/41.75 (define @t864 () (tptp.hAPP @t86 (tptp.c_Groups_Ominus__class_Ominus @t41 @t118 @t20))) % 41.55/41.75 (define @t865 () (tptp.hAPP @t864 @t79)) % 41.55/41.75 (define @t866 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t115 @t79)) % 41.55/41.75 (define @t867 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t223 @t168)) % 41.55/41.75 (define @t868 () (@list @t79 @t20 @t115 @t118 @t41)) % 41.55/41.75 (define @t869 () (@var "V_e_2" $$unsorted)) % 41.55/41.75 (define @t870 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP (tptp.hAPP @t86 (tptp.c_Groups_Ominus__class_Ominus @t41 @t55 @t145)) @t869) @t589)) % 41.55/41.75 (define @t871 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t402 @t869) @t589)) % 41.55/41.75 (define @t872 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t382 @t869) @t391)) % 41.55/41.75 (define @t873 () (= @t872 @t871)) % 41.55/41.75 (define @t874 () (@list @t589 @t55 @t391 @t869 @t145 @t41)) % 41.55/41.75 (define @t875 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP (tptp.hAPP @t86 @t591) @t869) @t391)) % 41.55/41.75 (define @t876 () (= @t173 (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 @t394))) % 41.55/41.75 (define @t877 () (tptp.c_Groups_Ominus__class_Ominus @t41 @t810 @t809)) % 41.55/41.75 (define @t878 () (tptp.c_Int_Onumber__class_Onumber__of @t41 @t833)) % 41.55/41.75 (define @t879 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t809)) % 41.55/41.75 (define @t880 () (@list @t645 @t41)) % 41.55/41.75 (define @t881 () (tptp.c_Polynomial_Ocoeff @t41 @t175)) % 41.55/41.75 (define @t882 () (tptp.c_Polynomial_Odegree @t41 @t771)) % 41.55/41.75 (define @t883 () (tptp.c_Polynomial_Omonom @t41 @t20 @t63)) % 41.55/41.75 (define @t884 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t883) @t40)) % 41.55/41.75 (define @t885 () (tptp.hAPP @t802 @t134)) % 41.55/41.75 (define @t886 () (tptp.hAPP @t753 @t90)) % 41.55/41.75 (define @t887 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t716 (tptp.hAPP @t216 @t115))) % 41.55/41.75 (define @t888 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t872 @t871)) % 41.55/41.75 (define @t889 () (tptp.c_Orderings_Oord__class_Oless @t41 @t872 @t871)) % 41.55/41.75 (define @t890 () (@var "V_D_2" $$unsorted)) % 41.55/41.75 (define @t891 () (@var "B_k" $$unsorted)) % 41.55/41.75 (define @t892 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t650)) % 41.55/41.75 (define @t893 () (= @t892 @t19)) % 41.55/41.75 (define @t894 () (tptp.hAPP @t800 @t748)) % 41.55/41.75 (define @t895 () (@var "V_u" $$unsorted)) % 41.55/41.75 (define @t896 () (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP (tptp.hAPP @t86 @t895) @t118) (tptp.hAPP (tptp.hAPP @t86 @t756) @t115))) % 41.55/41.75 (define @t897 () (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t895 @t756) @t44)) % 41.55/41.75 (define @t898 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t756)) % 41.55/41.75 (define @t899 () (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t895)) % 41.55/41.75 (define @t900 () (@list @t756 @t895 @t115 @t20 @t118 @t41)) % 41.55/41.75 (define @t901 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Nat_Onat @t645)) % 41.55/41.75 (define @t902 () (tptp.hAPP @t187 @t901)) % 41.55/41.75 (define @t903 () (= @t901 @t19)) % 41.55/41.75 (define @t904 () (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t100) @t40)) % 41.55/41.75 (define @t905 () (@var "V_ra_2" $$unsorted)) % 41.55/41.75 (define @t906 () (= @t905 @t43)) % 41.55/41.75 (define @t907 () (= @t53 @t43)) % 41.55/41.75 (define @t908 () (= @t142 @t43)) % 41.55/41.75 (define @t909 () (tptp.class_Fields_Ofield @t41)) % 41.55/41.75 (define @t910 () (@var "B_i" $$unsorted)) % 41.55/41.75 (define @t911 () (@list @t910)) % 41.55/41.75 (define @t912 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t659 @t656)) % 41.55/41.75 (define @t913 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t645)) % 41.55/41.75 (define @t914 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t756)) % 41.55/41.75 (define @t915 () (@list @t645 @t756)) % 41.55/41.75 (define @t916 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t63 @t40)) % 41.55/41.75 (define @t917 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t194 @t102)) % 41.55/41.75 (define @t918 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t110 @t279)) % 41.55/41.75 (define @t919 () (tptp.hAPP @t367 @t895)) % 41.55/41.75 (define @t920 () (tptp.hAPP @t369 @t895)) % 41.55/41.75 (define @t921 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t102 @t251)) % 41.55/41.75 (define @t922 () (tptp.c_Nat_OSuc @t916)) % 41.55/41.75 (define @t923 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t63 @t227)) % 41.55/41.75 (define @t924 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t228 @t40)) % 41.55/41.75 (define @t925 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t645 @t414)) % 41.55/41.75 (define @t926 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t414 @t645)) % 41.55/41.75 (define @t927 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t115 @t414)) % 41.55/41.75 (define @t928 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 @t927)) % 41.55/41.75 (define @t929 () (@list @t115 @t414 @t118)) % 41.55/41.75 (define @t930 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t927)) % 41.55/41.75 (define @t931 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t63 @t224)) % 41.55/41.75 (define @t932 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t931 @t40)) % 41.55/41.75 (define @t933 () (@list @t40 @t224 @t63)) % 41.55/41.75 (define @t934 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t279 @t373)) % 41.55/41.75 (define @t935 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t110 @t224)) % 41.55/41.75 (define @t936 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t279 @t224)) % 41.55/41.75 (define @t937 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t63 @t279)) % 41.55/41.75 (define @t938 () (@list @t63 @t279 @t110)) % 41.55/41.75 (define @t939 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t279 @t63)) % 41.55/41.75 (define @t940 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t251 @t102)) % 41.55/41.75 (define @t941 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t251 @t194)) % 41.55/41.75 (define @t942 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t194 @t891)) % 41.55/41.75 (define @t943 () (@list @t891)) % 41.55/41.75 (define @t944 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t40 @t63)) % 41.55/41.75 (define @t945 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t224 @t40)) % 41.55/41.75 (define @t946 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t373)) % 41.55/41.75 (define @t947 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t279 @t110)) % 41.55/41.75 (define @t948 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t675)) % 41.55/41.75 (define @t949 () (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t251)) % 41.55/41.75 (define @t950 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t40 @t224)) % 41.55/41.75 (define @t951 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t224 @t63)) % 41.55/41.75 (define @t952 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t944 @t40)) % 41.55/41.75 (define @t953 () (forall @t275 (= @t952 @t63))) % 41.55/41.75 (define @t954 () (@var "V_r2" $$unsorted)) % 41.55/41.75 (define @t955 () (@var "V_r1" $$unsorted)) % 41.55/41.75 (define @t956 () (= @t955 @t954)) % 41.55/41.75 (define @t957 () (@var "V_q2" $$unsorted)) % 41.55/41.75 (define @t958 () (@var "V_q1" $$unsorted)) % 41.55/41.75 (define @t959 () (= @t958 @t957)) % 41.55/41.75 (define @t960 () (tptp.c_Polynomial_Opdivmod__rel @t41 @t118 @t115 @t957 @t954)) % 41.55/41.75 (define @t961 () (tptp.c_Polynomial_Opdivmod__rel @t41 @t118 @t115 @t958 @t955)) % 41.55/41.75 (define @t962 () (@list @t954 @t957 @t955 @t958 @t115 @t118 @t41)) % 41.55/41.75 (define @t963 () (= (tptp.hAPP @t65 @t916) (tptp.hAPP (tptp.hAPP @t86 @t67) @t66))) % 41.55/41.75 (define @t964 () (forall @t69 (=> @t125 @t963))) % 41.55/41.75 (define @t965 () (= (tptp.hAPP (tptp.hAPP @t86 @t577) @t545) (tptp.hAPP @t119 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t89 @t133)))) % 41.55/41.75 (define @t966 () (forall @t578 (=> @t49 @t965))) % 41.55/41.75 (define @t967 () (or (and @t244 @t103) (and @t294 @t261))) % 41.55/41.75 (define @t968 () (@list @t63 @t110)) % 41.55/41.75 (define @t969 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t655 @t414)) % 41.55/41.75 (define @t970 () (@var "V_z_H" $$unsorted)) % 41.55/41.75 (define @t971 () (@var "V_w_H" $$unsorted)) % 41.55/41.75 (define @t972 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t650 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t651 @t655))) % 41.55/41.75 (define @t973 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t40 @t288)) % 41.55/41.75 (define @t974 () (= @t973 @t63)) % 41.55/41.75 (define @t975 () (@var "V_j_2" $$unsorted)) % 41.55/41.75 (define @t976 () (@var "V_i_2" $$unsorted)) % 41.55/41.75 (define @t977 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t976 @t251)) % 41.55/41.75 (define @t978 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t975 @t251)) % 41.55/41.75 (define @t979 () (@list @t251 @t975 @t976)) % 41.55/41.75 (define @t980 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t279 @t224)) % 41.55/41.75 (define @t981 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t980 @t110)) % 41.55/41.75 (define @t982 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t947 @t224)) % 41.55/41.75 (define @t983 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t279)) % 41.55/41.75 (define @t984 () (@list @t110 @t279 @t224)) % 41.55/41.75 (define @t985 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t110 @t980)) % 41.55/41.75 (define @t986 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t918 @t224)) % 41.55/41.75 (define @t987 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t975 @t976)) % 41.55/41.75 (define @t988 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t976 @t975)) % 41.55/41.75 (define @t989 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t288 @t40)) % 41.55/41.75 (define @t990 () (=> @t129 (= @t989 @t63))) % 41.55/41.75 (define @t991 () (forall @t275 @t990)) % 41.55/41.75 (define @t992 () (=> @t129 @t974)) % 41.55/41.75 (define @t993 () (forall @t275 @t992)) % 41.55/41.75 (define @t994 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t414 @t645)) % 41.55/41.75 (define @t995 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t414 @t833)) % 41.55/41.75 (define @t996 () (@var "B_d" $$unsorted)) % 41.55/41.75 (define @t997 () (tptp.hBOOL (tptp.hAPP @t363 @t996))) % 41.55/41.75 (define @t998 () (= @t145 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t55 @t996))) % 41.55/41.75 (define @t999 () (@list @t996)) % 41.55/41.75 (define @t1000 () (tptp.hBOOL (tptp.hAPP @t363 @t19))) % 41.55/41.75 (define @t1001 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t145 @t55)) % 41.55/41.75 (define @t1002 () (tptp.hBOOL (tptp.hAPP @t363 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t145 @t55)))) % 41.55/41.75 (define @t1003 () (@list @t55 @t145 @t363)) % 41.55/41.75 (define @t1004 () (tptp.c_Nat_OSuc @t279)) % 41.55/41.75 (define @t1005 () (tptp.c_Nat_OSuc @t980)) % 41.55/41.75 (define @t1006 () (@list @t63 @t279 @t224)) % 41.55/41.75 (define @t1007 () (@var "V_ua_2" $$unsorted)) % 41.55/41.75 (define @t1008 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t976 @t975)) @t1007) @t194)) % 41.55/41.75 (define @t1009 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 @t975) @t1007) @t102)) % 41.55/41.75 (define @t1010 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 @t976) @t1007) @t194)) % 41.55/41.75 (define @t1011 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1010 @t1009)) % 41.55/41.75 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t975 @t976)) % 41.55/41.75 (define @t1013 () (@list @t102 @t194 @t1007 @t976 @t975)) % 41.55/41.75 (define @t1014 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t920 @t63) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t919 @t40))) % 41.55/41.75 (define @t1015 () (= @t1010 @t1009)) % 41.55/41.75 (define @t1016 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 @t987) @t1007) @t102)) % 41.55/41.75 (define @t1017 () (@list @t102 @t194 @t1007 @t975 @t976)) % 41.55/41.75 (define @t1018 () (@var "V_r_H" $$unsorted)) % 41.55/41.75 (define @t1019 () (tptp.hAPP @t181 @t115)) % 41.55/41.75 (define @t1020 () (@var "V_q_H" $$unsorted)) % 41.55/41.75 (define @t1021 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t90 @t134)) % 41.55/41.75 (define @t1022 () (tptp.c_Polynomial_Odegree @t41 @t332)) % 41.55/41.75 (define @t1023 () (= @t1022 @t1021)) % 41.55/41.75 (define @t1024 () (=> @t135 @t1023)) % 41.55/41.75 (define @t1025 () (=> @t93 @t1024)) % 41.55/41.75 (define @t1026 () (=> @t94 @t1025)) % 41.55/41.75 (define @t1027 () (forall @t137 @t1026)) % 41.55/41.75 (define @t1028 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1010 @t1009)) % 41.55/41.75 (define @t1029 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t333)) % 41.55/41.75 (define @t1030 () (= @t20 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t333 (tptp.hAPP (tptp.hAPP @t640 @t20) @t133)))) % 41.55/41.75 (define @t1031 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t20)) % 41.55/41.75 (define @t1032 () (@list @t133 @t333 @t20)) % 41.55/41.75 (define @t1033 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1020 @t133)) % 41.55/41.75 (define @t1034 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t698 @t79)) % 41.55/41.75 (define @t1035 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t698)) % 41.55/41.75 (define @t1036 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t1018)) % 41.55/41.75 (define @t1037 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t333 @t79)) % 41.55/41.75 (define @t1038 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t640 @t698) @t1020) @t1018)) % 41.55/41.75 (define @t1039 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1038 @t639)) % 41.55/41.75 (define @t1040 () (tptp.hAPP @t640 @t79)) % 41.55/41.75 (define @t1041 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1040 @t133) @t333)) % 41.55/41.75 (define @t1042 () (= @t1041 @t1038)) % 41.55/41.75 (define @t1043 () (@list @t1018 @t1020 @t698 @t333 @t133 @t79)) % 41.55/41.75 (define @t1044 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t133 @t1020)) % 41.55/41.75 (define @t1045 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1040 @t1020) @t1018) @t1041)) % 41.55/41.75 (define @t1046 () (@list @t333 @t133 @t1018 @t1020 @t79)) % 41.55/41.75 (define @t1047 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1018 @t698)) % 41.55/41.75 (define @t1048 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t1038)) % 41.55/41.75 (define @t1049 () (@list @t1018 @t1020 @t698)) % 41.55/41.75 (define @t1050 () (tptp.hAPP @t574 @t224)) % 41.55/41.75 (define @t1051 () (tptp.class_Divides_Osemiring__div @t41)) % 41.55/41.75 (define @t1052 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t976 @t251)) % 41.55/41.75 (define @t1053 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t145)) % 41.55/41.75 (define @t1054 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t145 @t55)) % 41.55/41.75 (define @t1055 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t1054)) % 41.55/41.75 (define @t1056 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t55)) % 41.55/41.75 (define @t1057 () (@list @t145 @t55)) % 41.55/41.75 (define @t1058 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t251)) % 41.55/41.75 (define @t1059 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t20 @t698)) % 41.55/41.75 (define @t1060 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t20 @t79)) % 41.55/41.75 (define @t1061 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t20)) % 41.55/41.75 (define @t1062 () (@list @t79 @t698 @t20)) % 41.55/41.75 (define @t1063 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1060 @t639)) % 41.55/41.75 (define @t1064 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t79 @t639)) % 41.55/41.75 (define @t1065 () (= @t1060 @t639)) % 41.55/41.75 (define @t1066 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t55 @t639)) % 41.55/41.75 (define @t1067 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t79)) % 41.55/41.75 (define @t1068 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t20 @t639)) % 41.55/41.75 (define @t1069 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t20 @t639)) % 41.55/41.75 (define @t1070 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t690 @t79)) % 41.55/41.75 (define @t1071 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t20 @t690)) % 41.55/41.75 (define @t1072 () (@list @t79 @t690 @t20)) % 41.55/41.75 (define @t1073 () (tptp.c_Divides_Odiv__class_Odiv @t41 @t20 @t79)) % 41.55/41.75 (define @t1074 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t353 @t1073)) % 41.55/41.75 (define @t1075 () (tptp.c_Groups_Oplus__class_Oplus @t41 @t1073 @t44)) % 41.55/41.75 (define @t1076 () (tptp.c_Divides_Odiv__class_Odiv @t41 @t55 @t145)) % 41.55/41.75 (define @t1077 () (not @t159)) % 41.55/41.75 (define @t1078 () (tptp.c_Divides_Odiv__class_Odiv @t41 @t453 @t452)) % 41.55/41.75 (define @t1079 () (= @t353 @t72)) % 41.55/41.75 (define @t1080 () (not @t1079)) % 41.55/41.75 (define @t1081 () (=> @t1080 (= @t1078 @t1073))) % 41.55/41.75 (define @t1082 () (tptp.c_Divides_Odiv__class_Odiv @t41 @t404 @t79)) % 41.55/41.75 (define @t1083 () (=> @t387 (= @t1082 @t20))) % 41.55/41.75 (define @t1084 () (=> @t1051 @t1083)) % 41.55/41.75 (define @t1085 () (forall @t480 @t1084)) % 41.55/41.75 (define @t1086 () (tptp.c_Divides_Odiv__class_Odiv @t41 @t79 @t20)) % 41.55/41.75 (define @t1087 () (tptp.hAPP @t86 @t1086)) % 41.55/41.75 (define @t1088 () (tptp.c_Divides_Odiv__class_Odiv @t41 @t118 @t115)) % 41.55/41.75 (define @t1089 () (tptp.c_Rings_Odvd__class_Odvd @t41 @t115 @t118)) % 41.55/41.75 (define @t1090 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1054 @t639)) % 41.55/41.75 (define @t1091 () (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t1088)) % 41.55/41.75 (define @t1092 () (tptp.class_Divides_Oring__div @t41)) % 41.55/41.75 (define @t1093 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t20)) % 41.55/41.75 (define @t1094 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t79)) % 41.55/41.75 (define @t1095 () (@var "V_b_1" $$unsorted)) % 41.55/41.75 (define @t1096 () (@var "V_a_1" $$unsorted)) % 41.55/41.75 (define @t1097 () (@var "V_r_1" $$unsorted)) % 41.55/41.75 (define @t1098 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t1095)) % 41.55/41.75 (define @t1099 () (tptp.hBOOL (tptp.hAPP @t363 @t910))) % 41.55/41.75 (define @t1100 () (= @t102 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t703 @t910) @t314))) % 41.55/41.75 (define @t1101 () (tptp.c_SMT_Oz3div @t224 @t373)) % 41.55/41.75 (define @t1102 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t373)) % 41.55/41.75 (define @t1103 () (@var "T_1" $$unsorted)) % 41.55/41.75 (define @t1104 () (tptp.tc_Polynomial_Opoly @t1103)) % 41.55/41.75 (define @t1105 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1103)) % 41.55/41.75 (define @t1106 () (@list @t1103)) % 41.55/41.75 (define @t1107 () (@var "T_2" $$unsorted)) % 41.55/41.75 (define @t1108 () (tptp.tc_fun @t1107 @t1103)) % 41.55/41.75 (define @t1109 () (@list @t1107 @t1103)) % 41.55/41.75 (define @t1110 () (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (define @t1111 () (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (define @t1112 () (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (define @t1113 () (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (define @t1114 () (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (define @t1115 () (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (define @t1116 () (tptp.class_Rings_Oidom @t1103)) % 41.55/41.75 (define @t1117 () (tptp.class_Rings_Olinordered__idom @t1103)) % 41.55/41.75 (define @t1118 () (tptp.class_Rings_Oring__1__no__zero__divisors @t1104)) % 41.55/41.75 (define @t1119 () (forall @t1106 (=> @t1116 @t1118))) % 41.55/41.75 (define @t1120 () (tptp.class_Groups_Oab__semigroup__mult @t1104)) % 41.55/41.75 (define @t1121 () (tptp.class_Rings_Ocomm__semiring__0 @t1103)) % 41.55/41.75 (define @t1122 () (forall @t1106 (=> @t1121 @t1120))) % 41.55/41.75 (define @t1123 () (tptp.class_Rings_Ocomm__semiring__1 @t1103)) % 41.55/41.75 (define @t1124 () (tptp.class_Groups_Ocomm__monoid__add @t1103)) % 41.55/41.75 (define @t1125 () (tptp.class_Rings_Ocomm__semiring__1 @t1104)) % 41.55/41.75 (define @t1126 () (forall @t1106 (=> @t1123 @t1125))) % 41.55/41.75 (define @t1127 () (tptp.class_Divides_Osemiring__div @t1104)) % 41.55/41.75 (define @t1128 () (tptp.class_Fields_Ofield @t1103)) % 41.55/41.75 (define @t1129 () (forall @t1106 (=> @t1128 @t1127))) % 41.55/41.75 (define @t1130 () (tptp.class_Groups_Oab__group__add @t1103)) % 41.55/41.75 (define @t1131 () (tptp.class_Groups_Omonoid__mult @t1104)) % 41.55/41.75 (define @t1132 () (forall @t1106 (=> @t1123 @t1131))) % 41.55/41.75 (define @t1133 () (tptp.class_Rings_Ocomm__ring__1 @t1103)) % 41.55/41.75 (define @t1134 () (tptp.class_Rings_Ocomm__ring @t1103)) % 41.55/41.75 (define @t1135 () (tptp.hBOOL (tptp.c_fequal @t54 @t53))) % 41.55/41.75 (define @t1136 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat tptp.v_na____ @t14)) % 41.55/41.75 (define @t1137 () (tptp.hAPP @t16 @t1136)) % 41.55/41.75 (define @t1138 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat tptp.v_na____ @t22)) % 41.55/41.75 (define @t1139 () (tptp.hAPP @t27 @t1138)) % 41.55/41.75 (define @t1140 () (tptp.hAPP @t11 tptp.v_u____)) % 41.55/41.75 (define @t1141 () (tptp.hAPP @t1140 @t1139)) % 41.55/41.75 (define @t1142 () (tptp.hAPP @t11 @t1141)) % 41.55/41.75 (define @t1143 () (tptp.hAPP @t1142 @t1137)) % 41.55/41.75 (define @t1144 () (tptp.hAPP @t12 @t1143)) % 41.55/41.75 (define @t1145 () (tptp.hAPP @t29 @t1144)) % 41.55/41.75 (define @t1146 () (tptp.hAPP @t16 tptp.v_na____)) % 41.55/41.75 (define @t1147 () (tptp.hAPP @t27 tptp.v_na____)) % 41.55/41.75 (define @t1148 () (tptp.hAPP @t11 @t1147)) % 41.55/41.75 (define @t1149 () (tptp.hAPP @t1148 @t1146)) % 41.55/41.75 (define @t1150 () (= @t1149 @t1145)) % 41.55/41.75 (define @t1151 () (not @t1150)) % 41.55/41.75 (define @t1152 () (tptp.hAPP @t16 @t10)) % 41.55/41.75 (define @t1153 () (tptp.hAPP @t27 @t10)) % 41.55/41.75 (define @t1154 () (tptp.hAPP (tptp.hAPP @t11 @t1153) @t1152)) % 41.55/41.75 (define @t1155 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t10 @t14)) % 41.55/41.75 (define @t1156 () (tptp.hAPP @t16 @t1155)) % 41.55/41.75 (define @t1157 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t10 @t22)) % 41.55/41.75 (define @t1158 () (tptp.hAPP @t27 @t1157)) % 41.55/41.75 (define @t1159 () (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t1140 @t1158)) @t1156)) % 41.55/41.75 (define @t1160 () (tptp.hAPP @t29 (tptp.hAPP @t12 @t1159))) % 41.55/41.75 (define @t1161 () (@quantifiers_skolemize @t37 0)) % 41.55/41.75 (define @t1162 () (tptp.hAPP @t29 @t1161)) % 41.55/41.75 (define @t1163 () (= tptp.v_pa____ @t1162)) % 41.55/41.75 (define @t1164 () (not @t1163)) % 41.55/41.75 (define @t1165 () (not @t1164)) % 41.55/41.75 (define @t1166 () (@list true)) % 41.55/41.75 (define @t1167 () (= @t40 @t48)) % 41.55/41.75 (define @t1168 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t28)) % 41.55/41.75 (define @t1169 () (= @t22 @t1168)) % 41.55/41.75 (define @t1170 () (not @t1110)) % 41.55/41.75 (define @t1171 () (or @t1170 @t1169)) % 41.55/41.75 (define @t1172 () (@list false false)) % 41.55/41.75 (define @t1173 () (= @t110 @t426)) % 41.55/41.75 (define @t1174 () (@list @t10 @t22)) % 41.55/41.75 (define @t1175 () (= @t22 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t10 @t1157))) % 41.55/41.75 (define @t1176 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t22 @t10)) % 41.55/41.75 (define @t1177 () (not @t1176)) % 41.55/41.75 (define @t1178 () (or @t1177 @t1175)) % 41.55/41.75 (define @t1179 () (= @t63 @t989)) % 41.55/41.75 (define @t1180 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1157 @t22)) % 41.55/41.75 (define @t1181 () (= @t10 @t1180)) % 41.55/41.75 (define @t1182 () (or @t1177 @t1181)) % 41.55/41.75 (define @t1183 () (= @t63 @t973)) % 41.55/41.75 (define @t1184 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t22 @t1157)) % 41.55/41.75 (define @t1185 () (= @t10 @t1184)) % 41.55/41.75 (define @t1186 () (or @t1177 @t1185)) % 41.55/41.75 (define @t1187 () (tptp.hAPP @t11 @t30)) % 41.55/41.75 (define @t1188 () (tptp.hAPP @t1187 @t1159)) % 41.55/41.75 (define @t1189 () (tptp.class_Groups_Oab__semigroup__mult @t7)) % 41.55/41.75 (define @t1190 () (not @t1189)) % 41.55/41.75 (define @t1191 () (or @t1190 (= @t1188 @t1160))) % 41.55/41.75 (define @t1192 () (forall @t357 (or (not @t587) @t586))) % 41.55/41.75 (define @t1193 () (= @t1160 @t1188)) % 41.55/41.75 (define @t1194 () (or @t1190 @t1193)) % 41.55/41.75 (define @t1195 () (@list false)) % 41.55/41.75 (define @t1196 () (@list tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (define @t1197 () (not @t1111)) % 41.55/41.75 (define @t1198 () (or @t1197 @t1189)) % 41.55/41.75 (define @t1199 () (tptp.class_Rings_Ocomm__semiring__1 @t7)) % 41.55/41.75 (define @t1200 () (or @t1170 @t1199)) % 41.55/41.75 (define @t1201 () (tptp.hAPP @t1140 tptp.v_s____)) % 41.55/41.75 (define @t1202 () (= @t13 @t1201)) % 41.55/41.75 (define @t1203 () (not @t1199)) % 41.55/41.75 (define @t1204 () (or @t1203 @t1202)) % 41.55/41.75 (define @t1205 () (@list tptp.v_s____ @t28 @t7)) % 41.55/41.75 (define @t1206 () (tptp.hAPP @t12 @t28)) % 41.55/41.75 (define @t1207 () (= @t30 @t1206)) % 41.55/41.75 (define @t1208 () (or @t1203 @t1207)) % 41.55/41.75 (define @t1209 () (= @t1154 (tptp.hAPP (tptp.hAPP @t11 @t1152) @t1153))) % 41.55/41.75 (define @t1210 () (or @t1203 @t1209)) % 41.55/41.75 (define @t1211 () (tptp.hAPP @t1140 @t1156)) % 41.55/41.75 (define @t1212 () (tptp.hAPP (tptp.hAPP @t11 @t1211) @t1158)) % 41.55/41.75 (define @t1213 () (= @t1159 @t1212)) % 41.55/41.75 (define @t1214 () (or @t1203 @t1213)) % 41.55/41.75 (define @t1215 () (= @t43 @t133)) % 41.55/41.75 (define @t1216 () (= @t43 @t89)) % 41.55/41.75 (define @t1217 () (not @t94)) % 41.55/41.75 (define @t1218 () (or @t1216 @t1215 @t1023)) % 41.55/41.75 (define @t1219 () (not @t1215)) % 41.55/41.75 (define @t1220 () (=> @t1219 @t1023)) % 41.55/41.75 (define @t1221 () (not @t1216)) % 41.55/41.75 (define @t1222 () (=> @t1221 @t1220)) % 41.55/41.75 (define @t1223 () (not @t156)) % 41.55/41.75 (define @t1224 () (or @t1223 @t153 @t152)) % 41.55/41.75 (define @t1225 () (not (= @t28 @t8))) % 41.55/41.75 (define @t1226 () (tptp.class_Rings_Oring__1__no__zero__divisors @t7)) % 41.55/41.75 (define @t1227 () (not @t1226)) % 41.55/41.75 (define @t1228 () (or @t1227 (= @t26 @t8) @t1225)) % 41.55/41.75 (define @t1229 () (forall @t51 @t1224)) % 41.55/41.75 (define @t1230 () (= @t8 @t28)) % 41.55/41.75 (define @t1231 () (not @t1230)) % 41.55/41.75 (define @t1232 () (= @t8 @t26)) % 41.55/41.75 (define @t1233 () (or @t1227 @t1232 @t1231)) % 41.55/41.75 (define @t1234 () (not @t1115)) % 41.55/41.75 (define @t1235 () (or @t1234 @t1226)) % 41.55/41.75 (define @t1236 () (= (= @t43 @t147) (and @t595 (= @t43 @t143)))) % 41.55/41.75 (define @t1237 () (= @t8 @t24)) % 41.55/41.75 (define @t1238 () (and (= @t98 @t25) @t1237)) % 41.55/41.75 (define @t1239 () (= @t1232 @t1238)) % 41.55/41.75 (define @t1240 () (not @t1114)) % 41.55/41.75 (define @t1241 () (or @t1240 @t1239)) % 41.55/41.75 (define @t1242 () (forall @t200 (or (not @t132) @t1236))) % 41.55/41.75 (define @t1243 () (and (= @t25 @t98) @t1237)) % 41.55/41.75 (define @t1244 () (= @t1232 @t1243)) % 41.55/41.75 (define @t1245 () (or @t1240 @t1244)) % 41.55/41.75 (define @t1246 () (@list @t1242)) % 41.55/41.75 (define @t1247 () (= @t23 @t98)) % 41.55/41.75 (define @t1248 () (and (= @t98 @t23) (= @t8 @t8))) % 41.55/41.75 (define @t1249 () (= @t1237 @t1248)) % 41.55/41.75 (define @t1250 () (or @t1240 @t1249)) % 41.55/41.75 (define @t1251 () (= @t1237 @t1247)) % 41.55/41.75 (define @t1252 () (or @t1240 @t1251)) % 41.55/41.75 (define @t1253 () (not @t1247)) % 41.55/41.75 (define @t1254 () (not @t1112)) % 41.55/41.75 (define @t1255 () (or @t1254 @t1253)) % 41.55/41.75 (define @t1256 () (not @t1237)) % 41.55/41.75 (define @t1257 () (@list true false)) % 41.55/41.75 (define @t1258 () (not @t1243)) % 41.55/41.75 (define @t1259 () (not @t1232)) % 41.55/41.75 (define @t1260 () (@list true false false)) % 41.55/41.75 (define @t1261 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1168 @t14)) % 41.55/41.75 (define @t1262 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t30)) % 41.55/41.75 (define @t1263 () (= @t1262 @t1261)) % 41.55/41.75 (define @t1264 () (= @t8 tptp.v_s____)) % 41.55/41.75 (define @t1265 () (or @t1234 @t1230 @t1264 @t1263)) % 41.55/41.75 (define @t1266 () (= @t20 @t1082)) % 41.55/41.75 (define @t1267 () (= @t72 @t79)) % 41.55/41.75 (define @t1268 () (not @t1051)) % 41.55/41.75 (define @t1269 () (not @t1267)) % 41.55/41.75 (define @t1270 () (=> @t1269 @t1266)) % 41.55/41.75 (define @t1271 () (tptp.class_Divides_Osemiring__div @t7)) % 41.55/41.75 (define @t1272 () (not @t1113)) % 41.55/41.75 (define @t1273 () (or @t1272 @t1271)) % 41.55/41.75 (define @t1274 () (= tptp.v_s____ (tptp.c_Divides_Odiv__class_Odiv @t7 @t30 @t28))) % 41.55/41.75 (define @t1275 () (not @t1271)) % 41.55/41.75 (define @t1276 () (or @t1275 @t1230 @t1274)) % 41.55/41.75 (define @t1277 () (tptp.c_Divides_Odiv__class_Odiv @t7 @t1162 @t28)) % 41.55/41.75 (define @t1278 () (= @t1161 @t1277)) % 41.55/41.75 (define @t1279 () (or @t1275 @t1230 @t1278)) % 41.55/41.75 (define @t1280 () (tptp.class_Groups_Omonoid__mult @t7)) % 41.55/41.75 (define @t1281 () (or @t1170 @t1280)) % 41.55/41.75 (define @t1282 () (tptp.hAPP @t16 @t1180)) % 41.55/41.75 (define @t1283 () (= @t1282 (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t16 @t1157)) (tptp.hAPP @t16 @t22)))) % 41.55/41.75 (define @t1284 () (not @t1280)) % 41.55/41.75 (define @t1285 () (or @t1284 @t1283)) % 41.55/41.75 (define @t1286 () (@list @t1156 tptp.v_s____ tptp.v_u____ @t7)) % 41.55/41.75 (define @t1287 () (tptp.hAPP @t12 @t1211)) % 41.55/41.75 (define @t1288 () (tptp.hAPP @t1140 (tptp.hAPP @t12 @t1156))) % 41.55/41.75 (define @t1289 () (= @t1288 @t1287)) % 41.55/41.75 (define @t1290 () (or @t1203 @t1289)) % 41.55/41.75 (define @t1291 () (tptp.hAPP @t11 @t1201)) % 41.55/41.75 (define @t1292 () (tptp.hAPP @t1291 @t1156)) % 41.55/41.75 (define @t1293 () (= @t1288 @t1292)) % 41.55/41.75 (define @t1294 () (or @t1203 @t1293)) % 41.55/41.75 (define @t1295 () (tptp.hAPP @t29 @t1158)) % 41.55/41.75 (define @t1296 () (tptp.hAPP @t11 @t1287)) % 41.55/41.75 (define @t1297 () (tptp.hAPP @t1296 @t1295)) % 41.55/41.75 (define @t1298 () (= (tptp.hAPP (tptp.hAPP @t11 @t1206) @t1212) @t1297)) % 41.55/41.75 (define @t1299 () (or @t1203 @t1298)) % 41.55/41.75 (define @t1300 () (tptp.hAPP @t27 @t1184)) % 41.55/41.75 (define @t1301 () (= @t1295 @t1300)) % 41.55/41.75 (define @t1302 () (or @t1203 @t1301)) % 41.55/41.75 (define @t1303 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t22 @t14)) % 41.55/41.75 (define @t1304 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1303 @t22)) % 41.55/41.75 (define @t1305 () (= @t14 @t1304)) % 41.55/41.75 (define @t1306 () (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t1161)) % 41.55/41.75 (define @t1307 () (= @t1160 @t1154)) % 41.55/41.75 (define @t1308 () (and @t18 @t31 @t1163 @t1169 @t1175 @t1202 @t1207 @t1209 @t1193 @t1213 @t1181 @t1185 @t1263 @t1274 @t1278 @t1305 @t1283 @t1289 @t1293 @t1298 @t1301)) % 41.55/41.75 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 41.55/41.75 (assume @p2 (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex tptp.v_p) tptp.v_n)) % 41.55/41.75 (assume @p3 (not @t9)) % 41.55/41.75 (assume @p4 (= @t10 tptp.v_na____)) % 41.55/41.75 (assume @p5 (not (= tptp.v_s____ @t8))) % 41.55/41.75 (assume @p6 (not (= tptp.v_pa____ @t8))) % 41.55/41.75 (assume @p7 @t18) % 41.55/41.75 (assume @p8 (not (= tptp.v_na____ @t19))) % 41.55/41.75 (assume @p9 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14 tptp.v_na____)) % 41.55/41.75 (assume @p10 (forall @t21 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Oorder tptp.tc_Complex_Ocomplex @t20 tptp.v_pa____) tptp.v_na____))) % 41.55/41.75 (assume @p11 @t31) % 41.55/41.75 (assume @p12 @t32) % 41.55/41.75 (assume @p13 @t34) % 41.55/41.75 (assume @p14 (not (= @t22 @t19))) % 41.55/41.75 (assume @p15 (= tptp.v_qa____ (tptp.hAPP @t35 tptp.v_r____))) % 41.55/41.75 (assume @p16 @t38) % 41.55/41.75 (assume @p17 (not (forall (@list @t39) (not (= @t17 (tptp.hAPP @t12 @t39)))))) % 41.55/41.75 (assume @p18 (tptp.c_Rings_Odvd__class_Odvd @t7 @t28 tptp.v_pa____)) % 41.55/41.75 (assume @p19 @t52) % 41.55/41.75 (assume @p20 (forall @t62 (=> @t61 (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t59 @t58) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t54 @t53)))))) % 41.55/41.75 (assume @p21 (forall @t69 (=> @t61 (=> @t68 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t67 @t66) @t64))))) % 41.55/41.75 (assume @p22 (forall @t75 (=> @t61 (=> @t74 (=> @t73 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t20 @t44) (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t71 @t66))))))) % 41.55/41.75 (assume @p23 (forall @t75 (=> @t61 (=> @t78 (=> @t77 (=> @t76 (tptp.c_Orderings_Oord__class_Oless @t41 @t71 @t66))))))) % 41.55/41.75 (assume @p24 (forall @t85 (=> @t61 (=> @t84 (=> @t73 (=> @t83 @t82)))))) % 41.55/41.75 (assume @p25 (forall @t51 (=> @t61 (=> @t77 (=> @t76 (tptp.c_Orderings_Oord__class_Oless @t41 @t88 @t66)))))) % 41.55/41.75 (assume @p26 (forall @t95 (=> @t94 (=> @t93 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t91 @t90))))) % 41.55/41.75 (assume @p27 @t96) % 41.55/41.75 (assume @p28 (not (= tptp.v_n @t19))) % 41.55/41.75 (assume @p29 (=> @t9 @t97)) % 41.55/41.75 (assume @p30 (tptp.c_Rings_Odvd__class_Odvd @t7 @t26 tptp.v_qa____)) % 41.55/41.75 (assume @p31 (=> @t33 @t97)) % 41.55/41.75 (assume @p32 (= (tptp.hAPP @t99 tptp.v_a____) @t98)) % 41.55/41.75 (assume @p33 (forall @t6 (=> (= (tptp.hAPP @t99 @t3) @t98) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_qa____) @t3) @t98)))) % 41.55/41.75 (assume @p34 (forall @t101 (=> @t49 (= (tptp.c_Polynomial_Odegree @t41 @t100) @t19)))) % 41.55/41.75 (assume @p35 (forall @t108 (= @t107 (or @t104 @t103)))) % 41.55/41.75 (assume @p36 (forall @t114 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t110) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t113 @t112) @t109)))) % 41.55/41.75 (assume @p37 (forall (@list @t40 @t115 @t118 @t41) (=> @t49 (=> @t121 (tptp.c_Rings_Odvd__class_Odvd @t41 @t120 @t117))))) % 41.55/41.75 (assume @p38 (forall @t69 (=> @t125 (= (tptp.hAPP @t65 @t124) (tptp.hAPP (tptp.hAPP @t56 @t67) @t40))))) % 41.55/41.75 (assume @p39 (forall @t127 (=> @t125 (= (tptp.hAPP @t65 @t126) @t20)))) % 41.55/41.75 (assume @p40 (forall @t128 (=> @t49 (=> (or @t83 (= @t118 @t44)) (tptp.c_Rings_Odvd__class_Odvd @t41 @t118 @t120))))) % 41.55/41.75 (assume @p41 (forall (@list @t63 @t79 @t40 @t20 @t41) (=> @t49 (=> (tptp.c_Rings_Odvd__class_Odvd @t41 @t66 @t79) (=> @t64 (tptp.c_Rings_Odvd__class_Odvd @t41 @t67 @t79)))))) % 41.55/41.75 (assume @p42 (forall (@list @t63 @t40 @t115 @t118 @t41) (=> @t49 (=> @t121 (=> @t129 (tptp.c_Rings_Odvd__class_Odvd @t41 @t120 (tptp.hAPP @t116 @t63))))))) % 41.55/41.75 (assume @p43 (forall @t130 (=> @t49 (=> @t64 (tptp.c_Rings_Odvd__class_Odvd @t41 @t67 @t66))))) % 41.55/41.75 (assume @p44 (forall @t127 (=> @t131 (= (tptp.hAPP @t65 @t19) @t44)))) % 41.55/41.75 (assume @p45 (forall @t101 (=> @t132 (= (tptp.c_Polynomial_Odegree @t41 @t43) @t19)))) % 41.55/41.75 (assume @p46 (forall @t137 (=> @t94 (=> @t136 (=> @t135 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t90 @t134)))))) % 41.55/41.75 (assume @p47 (forall @t140 (=> @t49 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t41 @t139) (tptp.hAPP @t138 @t40))))) % 41.55/41.75 (assume @p48 (forall @t127 (=> @t132 (= (tptp.c_Polynomial_Odegree @t41 @t141) @t19)))) % 41.55/41.75 (assume @p49 (forall @t51 (=> @t61 (=> @t68 (=> @t83 (tptp.c_Orderings_Oord__class_Oless @t41 @t44 @t66)))))) % 41.55/41.75 (assume @p50 (forall (@list @t142 @t55 @t143 @t145 @t41) (=> @t132 (= (= @t147 (tptp.c_Polynomial_OpCons @t41 @t55 @t142)) (and @t146 @t144))))) % 41.55/41.75 (assume @p51 (forall @t151 (=> @t94 @t150))) % 41.55/41.75 (assume @p52 @t157) % 41.55/41.75 (assume @p53 (forall @t166 (=> @t165 (= (= @t161 @t72) (and @t159 @t158))))) % 41.55/41.75 (assume @p54 (forall @t85 (=> @t169 (= (tptp.hAPP (tptp.hAPP @t56 @t168) @t40) (tptp.hAPP @t167 @t81))))) % 41.55/41.75 (assume @p55 (forall @t51 (=> @t125 (= @t170 @t88)))) % 41.55/41.75 (assume @p56 (forall @t171 (=> @t125 (= (tptp.hAPP (tptp.hAPP @t56 @t44) @t40) @t44)))) % 41.55/41.75 (assume @p57 (forall @t177 (=> @t176 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t175 @t174) (tptp.c_Polynomial_OpCons @t41 @t173 @t172))))) % 41.55/41.75 (assume @p58 (forall (@list @t89 @t20 @t178) (=> (tptp.class_Groups_Oab__group__add @t178) (= (tptp.c_Groups_Ouminus__class_Ouminus @t179 (tptp.c_Polynomial_OpCons @t178 @t20 @t89)) (tptp.c_Polynomial_OpCons @t178 (tptp.c_Groups_Ouminus__class_Ouminus @t178 @t20) (tptp.c_Groups_Ouminus__class_Ouminus @t179 @t89)))))) % 41.55/41.75 (assume @p59 (forall @t151 (=> @t176 (= (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t175) (tptp.c_Polynomial_OpCons @t41 @t148 @t180))))) % 41.55/41.75 (assume @p60 (forall @t184 (=> @t183 (= (tptp.hAPP @t182 @t43) @t43)))) % 41.55/41.75 (assume @p61 (forall @t185 (=> @t183 (= (tptp.hAPP (tptp.hAPP @t181 @t43) @t133) @t43)))) % 41.55/41.75 (assume @p62 (forall @t85 (=> @t61 (=> @t186 (=> @t73 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t66 @t81)))))) % 41.55/41.75 (assume @p63 (forall @t51 (=> @t61 (=> @t73 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t66))))) % 41.55/41.75 (assume @p64 (forall @t51 (=> @t61 (=> @t77 (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t66))))) % 41.55/41.75 (assume @p65 (forall @t171 (=> @t192 (and (=> @t189 (= @t188 @t44)) (=> @t190 (= @t188 @t72)))))) % 41.55/41.75 (assume @p66 (forall @t51 (=> @t61 (=> @t193 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t44 @t66))))) % 41.55/41.75 (assume @p67 (forall (@list @t102 @t194 @t145 @t41) (=> @t61 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t44 @t145) (= (= (tptp.hAPP @t160 @t194) @t161) @t195))))) % 41.55/41.75 (assume @p68 @t201) % 41.55/41.75 (assume @p69 (forall @t101 (=> @t132 (= (tptp.c_Polynomial_OpCons @t41 @t72 @t43) @t43)))) % 41.55/41.75 (assume @p70 (forall @t101 (=> @t49 (= @t100 @t45)))) % 41.55/41.75 (assume @p71 (forall @t203 (=> @t61 (=> @t82 (=> @t202 @t84))))) % 41.55/41.75 (assume @p72 (forall @t51 (=> @t61 (=> @t68 (tptp.c_Orderings_Oord__class_Oless @t41 @t66 @t88))))) % 41.55/41.75 (assume @p73 (forall @t51 (=> @t61 (=> @t68 (tptp.c_Orderings_Oord__class_Oless @t41 @t44 @t88))))) % 41.55/41.75 (assume @p74 (forall @t203 (=> @t61 (=> (= @t66 @t81) (=> @t73 (=> @t202 (=> @t83 @t204))))))) % 41.55/41.75 (assume @p75 (forall @t51 (=> @t206 (= (tptp.hAPP (tptp.hAPP @t56 @t148) @t40) (tptp.hAPP (tptp.hAPP @t86 (tptp.hAPP (tptp.hAPP @t56 @t205) @t40)) @t66))))) % 41.55/41.75 (assume @p76 (forall @t75 (=> @t61 (=> @t78 (=> @t68 (tptp.c_Orderings_Oord__class_Oless @t41 @t66 @t71)))))) % 41.55/41.75 (assume @p77 (forall @t69 (=> @t61 (=> @t68 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t67 @t66) @t109))))) % 41.55/41.75 (assume @p78 (forall @t62 (=> @t61 (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t59 @t58) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t54 @t53)))))) % 41.55/41.75 (assume @p79 (forall @t75 (=> @t61 (=> @t74 (=> @t193 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t66 @t71)))))) % 41.55/41.75 (assume @p80 (not (forall (@list @t207) (not (= tptp.v_qa____ (tptp.hAPP @t35 @t207)))))) % 41.55/41.75 (assume @p81 (not (tptp.c_Rings_Odvd__class_Odvd @t7 (tptp.hAPP @t27 (tptp.c_Nat_OSuc @t22)) tptp.v_pa____))) % 41.55/41.75 (assume @p82 (forall @t6 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p) @t3) @t98) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q) @t3) @t98)))) % 41.55/41.75 (assume @p83 (forall @t210 (= (tptp.hAPP (tptp.hAPP (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex) (tptp.hAPP @t209 @t118)) (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_u____) @t118)) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex) (tptp.hAPP @t208 @t118)) @t14)))) % 41.55/41.75 (assume @p84 (forall @t211 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t19 @t40))) % 41.55/41.75 (assume @p85 (forall @t128 (=> @t125 (=> @t83 (= (tptp.hAPP (tptp.hAPP @t86 (tptp.hAPP @t119 @t212)) @t118) @t120))))) % 41.55/41.75 (assume @p86 (forall @t211 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t19)))) % 41.55/41.75 (assume @p87 (forall (@list @t63 @t40 @t41) (=> @t131 (and (=> @t189 (= @t215 @t44)) (=> @t190 (= @t215 (tptp.hAPP @t214 (tptp.hAPP @t213 @t212)))))))) % 41.55/41.75 (assume @p88 (forall @t127 (=> @t49 (tptp.c_Rings_Odvd__class_Odvd @t41 @t20 @t72)))) % 41.55/41.75 (assume @p89 (forall @t221 (=> @t220 (=> @t219 (=> @t218 (=> @t217 (tptp.c_Orderings_Oord__class_Oless__eq @t41 (tptp.hAPP @t216 @t118) @t118))))))) % 41.55/41.75 (assume @p90 (forall @t221 (=> @t220 (=> @t219 (=> @t218 (=> @t217 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t223 @t118))))))) % 41.55/41.75 (assume @p91 (forall (@list @t54) (=> (= (tptp.hAPP @t209 @t54) @t98) (= (tptp.hAPP @t208 @t54) @t98)))) % 41.55/41.75 (assume @p92 (forall @t226 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t225 @t224))) % 41.55/41.75 (assume @p93 (forall @t211 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t227))) % 41.55/41.75 (assume @p94 (forall @t230 (=> @t109 @t229))) % 41.55/41.75 (assume @p95 (forall @t211 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t227))) % 41.55/41.75 (assume @p96 (forall @t234 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t231 tptp.v_na____) (forall (@list @t233 @t232) (=> (forall @t6 (=> (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t233) @t3) @t98) (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t232) @t3) @t98))) (=> (= (tptp.c_Polynomial_Odegree tptp.tc_Complex_Ocomplex @t233) @t231) (=> (not (= @t231 @t19)) (tptp.c_Rings_Odvd__class_Odvd @t7 @t233 (tptp.hAPP (tptp.hAPP @t15 @t232) @t231))))))))) % 41.55/41.75 (assume @p97 (forall @t211 (= (tptp.hAPP (tptp.hAPP @t122 @t126) @t40) @t40))) % 41.55/41.75 (assume @p98 (forall @t240 (= (= @t126 @t239) @t237))) % 41.55/41.75 (assume @p99 (forall @t211 (= (tptp.hAPP @t241 @t126) @t40))) % 41.55/41.75 (assume @p100 (forall @t242 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t194 @t126) @t236))) % 41.55/41.75 (assume @p101 (forall @t230 (= @t124 @t243))) % 41.55/41.75 (assume @p102 (forall @t242 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t194 @t225) @t244))) % 41.55/41.75 (assume @p103 (forall @t248 (=> @t247 (= (= @t245 (tptp.c_Polynomial_Opoly @t41 @t142)) @t144)))) % 41.55/41.75 (assume @p104 (forall @t240 (= (= @t239 @t126) @t237))) % 41.55/41.75 (assume @p105 (forall @t250 (= (tptp.hAPP (tptp.hAPP @t122 @t124) @t224) (tptp.hAPP @t123 @t249)))) % 41.55/41.75 (assume @p106 (forall @t255 (= (= @t254 @t253) @t195))) % 41.55/41.75 (assume @p107 (forall @t257 (=> (= (tptp.c_Nat_OSuc @t118) (tptp.c_Nat_OSuc @t115)) @t256))) % 41.55/41.75 (assume @p108 (forall (@list @t258 @t259) (= (= (tptp.c_Nat_OSuc @t259) (tptp.c_Nat_OSuc @t258)) (= @t259 @t258)))) % 41.55/41.75 (assume @p109 (forall @t211 (not (= @t227 @t40)))) % 41.55/41.75 (assume @p110 (forall @t211 (not (= @t40 @t227)))) % 41.55/41.75 (assume @p111 (forall @t185 (=> @t176 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t43 @t133) (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t133))))) % 41.55/41.75 (assume @p112 (forall @t260 (not (= @t228 @t19)))) % 41.55/41.75 (assume @p113 (forall @t260 (not (= @t19 @t228)))) % 41.55/41.75 (assume @p114 (forall @t240 (= (= @t239 @t225) (and @t244 @t261)))) % 41.55/41.75 (assume @p115 (= @t126 @t225)) % 41.55/41.75 (assume @p116 (forall (@list @t262) (not (= (tptp.c_Nat_OSuc @t262) @t19)))) % 41.55/41.75 (assume @p117 (forall (@list @t263) (not (= @t19 (tptp.c_Nat_OSuc @t263))))) % 41.55/41.75 (assume @p118 (forall @t240 (= (not @t266) @t265))) % 41.55/41.75 (assume @p119 (forall @t240 (= @t269 @t267))) % 41.55/41.75 (assume @p120 (forall @t240 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t264 @t268) @t266))) % 41.55/41.75 (assume @p121 (forall @t272 (=> (not @t271) @t270))) % 41.55/41.75 (assume @p122 (forall @t275 (=> (not @t274) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t228) @t273)))) % 41.55/41.75 (assume @p123 (forall @t230 (=> @t109 @t276))) % 41.55/41.75 (assume @p124 (forall @t230 (=> @t109 (=> (not (= @t228 @t40)) @t277)))) % 41.55/41.75 (assume @p125 (forall @t282 (=> @t281 (=> @t280 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t278 @t224))))) % 41.55/41.75 (assume @p126 (forall @t230 (=> @t276 (=> @t283 @t273)))) % 41.55/41.75 (assume @p127 (forall @t230 (=> @t277 @t109))) % 41.55/41.75 (assume @p128 (forall @t230 (=> @t229 @t109))) % 41.55/41.75 (assume @p129 (forall @t255 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t254 @t253) @t266))) % 41.55/41.75 (assume @p130 (forall @t211 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t227 @t40)))) % 41.55/41.75 (assume @p131 (forall @t240 (= (not @t285) @t284))) % 41.55/41.75 (assume @p132 (forall @t240 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t194 @t268) (or @t285 (= @t194 @t268))))) % 41.55/41.75 (assume @p133 (forall @t272 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t268 @t264) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t102 @t194)))) % 41.55/41.75 (assume @p134 (forall @t230 (=> @t64 @t286))) % 41.55/41.75 (assume @p135 (forall @t230 (=> @t286 (=> (not @t64) (= @t63 @t227))))) % 41.55/41.75 (assume @p136 (forall @t230 (=> @t287 @t64))) % 41.55/41.75 (assume @p137 (forall @t255 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t254 @t253) @t285))) % 41.55/41.75 (assume @p138 (forall @t292 (=> @t291 (=> @t290 @t289)))) % 41.55/41.75 (assume @p139 (forall @t230 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t228 @t227) @t288))) % 41.55/41.75 (assume @p140 (forall @t250 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t293 (tptp.c_Nat_OSuc @t224)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t288 @t224)))) % 41.55/41.75 (assume @p141 (forall @t211 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t227 @t126) @t40))) % 41.55/41.75 (assume @p142 (forall (@list @t194 @t54) (= (= (tptp.hAPP @t106 @t194) @t225) (or @t294 (= @t54 @t225))))) % 41.55/41.75 (assume @p143 (forall @t211 (= (tptp.hAPP (tptp.hAPP @t105 @t225) @t40) @t225))) % 41.55/41.75 (assume @p144 (forall @t184 (=> @t176 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t89 @t43) @t89)))) % 41.55/41.75 (assume @p145 (forall @t101 (=> @t176 (= (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t43) @t43)))) % 41.55/41.75 (assume @p146 (forall @t184 (=> @t176 (= (tptp.c_Polynomial_Odegree @t41 @t180) @t90)))) % 41.55/41.75 (assume @p147 (forall @t295 (=> @t49 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t100) @t118) @t44)))) % 41.55/41.75 (assume @p148 (forall @t300 (=> @t299 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t172) @t118) (tptp.c_Groups_Ominus__class_Ominus @t41 @t298 @t296))))) % 41.55/41.75 (assume @p149 (forall (@list @t118 @t89 @t41) (=> @t299 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t180) @t118) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t298))))) % 41.55/41.75 (assume @p150 (forall @t302 (=> @t247 (= (= @t245 @t301) @t196)))) % 41.55/41.75 (assume @p151 (forall @t292 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t307 @t306) (=> @t304 @t303)))) % 41.55/41.75 (assume @p152 (forall @t230 (=> @t309 (=> @t109 (not @t308))))) % 41.55/41.75 (assume @p153 (forall @t240 (=> @t311 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t310 @t194) @t194) @t235)))) % 41.55/41.75 (assume @p154 (forall @t240 (=> @t311 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t239 @t194) @t235)))) % 41.55/41.75 (assume @p155 (forall @t275 (=> @t313 (=> @t312 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t225 @t124))))) % 41.55/41.75 (assume @p156 (forall @t275 (=> @t313 (=> @t312 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t243))))) % 41.55/41.75 (assume @p157 (forall @t275 (=> @t313 (=> @t312 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t124))))) % 41.55/41.75 (assume @p158 (forall @t240 (= @t269 (or @t294 (exists @t315 (and (= @t194 (tptp.c_Nat_OSuc @t314)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t314 @t102))))))) % 41.55/41.75 (assume @p159 (forall @t316 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t102 @t225) @t103))) % 41.55/41.75 (assume @p160 (forall @t316 (= @t317 (exists @t234 (= @t102 (tptp.c_Nat_OSuc @t231)))))) % 41.55/41.75 (assume @p161 (forall @t240 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t239) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t194) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t102))))) % 41.55/41.75 (assume @p162 (forall @t272 (= @t271 @t284))) % 41.55/41.75 (assume @p163 (forall @t240 (= @t269 @t285))) % 41.55/41.75 (assume @p164 (forall @t240 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t264 @t102) @t266))) % 41.55/41.75 (assume @p165 (forall @t230 (=> @t64 @t276))) % 41.55/41.75 (assume @p166 (forall @t230 (=> @t109 @t287))) % 41.55/41.75 (assume @p167 (forall @t240 (=> @t285 @t270))) % 41.55/41.75 (assume @p168 (forall @t230 (=> @t287 @t109))) % 41.55/41.75 (assume @p169 (forall @t292 (=> @t289 (=> @t291 (=> @t129 @t290))))) % 41.55/41.75 (assume @p170 (forall @t292 (=> @t289 (=> @t290 (=> @t129 @t291))))) % 41.55/41.75 (assume @p171 (forall @t230 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t288 @t228))) % 41.55/41.75 (assume @p172 (forall @t275 (=> @t129 (= @t293 (tptp.c_Nat_OSuc @t288))))) % 41.55/41.75 (assume @p173 (forall @t171 (=> @t192 (= (tptp.hAPP @t187 @t227) @t72)))) % 41.55/41.75 (assume @p174 (forall @t321 (=> @t94 (= (= (tptp.hAPP (tptp.hAPP @t56 @t54) @t320) (tptp.hAPP (tptp.hAPP @t56 @t53) @t320)) (or @t319 (= @t54 @t318)))))) % 41.55/41.75 (assume @p175 (forall @t51 (=> @t131 (= @t322 @t88)))) % 41.55/41.75 (assume @p176 (forall @t51 (=> @t125 (= @t322 @t170)))) % 41.55/41.75 (assume @p177 (forall (@list @t40 @t224) (=> @t290 (=> @t83 @t323)))) % 41.55/41.75 (assume @p178 (forall @t211 (=> @t83 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 @t225)) @t40)))) % 41.55/41.75 (assume @p179 (forall (@list @t110 @t40) (=> @t83 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 @t278) @t40)))) % 41.55/41.75 (assume @p180 (forall @t211 (=> @t83 (= @t324 @t40)))) % 41.55/41.75 (assume @p181 (forall @t114 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t113 @t112) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t126 @t110) @t64)))) % 41.55/41.75 (assume @p182 (forall @t325 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t110) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t112)))) % 41.55/41.75 (assume @p183 (forall @t329 (=> @t176 (=> @t328 (=> @t327 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t326 @t40)))))) % 41.55/41.75 (assume @p184 (forall @t329 (=> @t176 (=> @t331 (=> @t330 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t326 @t40)))))) % 41.55/41.75 (assume @p185 (forall @t295 (=> @t183 (= (tptp.hAPP @t301 @t118) @t72)))) % 41.55/41.75 (assume @p186 (forall @t300 (=> @t183 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t332) @t118) (tptp.hAPP (tptp.hAPP @t86 @t298) @t296))))) % 41.55/41.75 (assume @p187 (forall (@list @t118 @t40 @t89 @t41) (=> @t49 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t139) @t118) (tptp.hAPP (tptp.hAPP @t56 @t298) @t40))))) % 41.55/41.75 (assume @p188 (forall (@list @t40 @t333 @t41) (=> @t61 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t333) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t333 @t44) (tptp.c_Orderings_Oord__class_Oless__eq @t41 (tptp.hAPP (tptp.hAPP @t56 @t333) @t227) @t333)))))) % 41.55/41.75 (assume @p189 (forall (@list @t115 @t40 @t89 @t41) (=> @t125 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89 @t40) (= (tptp.hAPP @t116 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t227 @t89)) (tptp.hAPP (tptp.hAPP @t86 (tptp.hAPP @t116 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 @t89))) @t115)))))) % 41.55/41.75 (assume @p190 (forall @t203 (=> @t61 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t322 @t334) (=> @t202 @t186))))) % 41.55/41.75 (assume @p191 (forall @t203 (=> @t61 (=> (= @t322 @t334) (=> @t73 (=> @t202 @t204)))))) % 41.55/41.75 (assume @p192 (forall @t51 (=> @t61 (=> @t68 (tptp.c_Orderings_Oord__class_Oless @t41 @t44 @t322))))) % 41.55/41.75 (assume @p193 (forall @t221 (=> @t220 @t339))) % 41.55/41.75 (assume @p194 (forall @t151 (=> @t132 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t341 @t340)))) % 41.55/41.75 (assume @p195 (forall @t230 (=> (= @t63 @t124) (or (= @t40 @t126) @t342)))) % 41.55/41.75 (assume @p196 (forall @t347 (= (= @t346 @t345) @t344))) % 41.55/41.75 (assume @p197 (forall @t255 (= @t351 @t344))) % 41.55/41.75 (assume @p198 (forall @t240 (= (= @t239 @t19) (or @t294 @t103)))) % 41.55/41.75 (assume @p199 (forall @t260 (= (tptp.hAPP @t123 @t19) @t19))) % 41.55/41.75 (assume @p200 (forall @t211 (= (tptp.hAPP (tptp.hAPP @t122 @t19) @t40) @t19))) % 41.55/41.75 (assume @p201 (forall @t95 (=> @t132 @t352))) % 41.55/41.75 (assume @p202 (forall @t357 (=> @t49 (=> @t356 (=> @t355 @t354))))) % 41.55/41.75 (assume @p203 (forall @t127 (=> @t49 (tptp.c_Rings_Odvd__class_Odvd @t41 @t20 @t20)))) % 41.55/41.75 (assume @p204 (forall @t211 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t40)))) % 41.55/41.75 (assume @p205 (forall @t240 (= @t358 (or @t266 @t271)))) % 41.55/41.75 (assume @p206 (forall @t257 (=> @t338 (=> (not @t359) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t115 @t118))))) % 41.55/41.75 (assume @p207 (forall @t275 (=> @t274 @t360))) % 41.55/41.75 (assume @p208 (forall (@list @t361 @t362) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t362 @t361) (not (= @t362 @t361))))) % 41.55/41.75 (assume @p209 (forall (@list @t363 @t102 @t194) (=> (=> @t266 @t364) (=> (=> @t195 @t364) (=> (=> @t271 @t364) @t364))))) % 41.55/41.75 (assume @p210 (forall @t211 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t40 @t40))) % 41.55/41.75 (assume @p211 (forall @t230 (or @t64 @t129))) % 41.55/41.75 (assume @p212 (forall @t230 (=> @t273 @t64))) % 41.55/41.75 (assume @p213 (forall @t282 (=> @t365 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t279 @t224) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t110 @t224))))) % 41.55/41.75 (assume @p214 (forall @t230 (=> @t64 (=> @t129 @t273)))) % 41.55/41.75 (assume @p215 (forall @t260 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t63 @t366))) % 41.55/41.75 (assume @p216 (forall @t260 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t63 (tptp.hAPP @t123 @t366)))) % 41.55/41.75 (assume @p217 (forall @t282 (=> @t365 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t370 @t368)))) % 41.55/41.75 (assume @p218 (forall @t282 (=> @t365 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t372 @t371)))) % 41.55/41.75 (assume @p219 (forall @t375 (=> @t365 (=> @t374 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t370 (tptp.hAPP @t367 @t373)))))) % 41.55/41.75 (assume @p220 (forall @t282 (= @t377 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t110 @t224) @t279)))) % 41.55/41.75 (assume @p221 (forall @t292 (= (tptp.hAPP @t305 @t288) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t307 @t306)))) % 41.55/41.75 (assume @p222 (forall @t250 (= (tptp.hAPP (tptp.hAPP @t122 @t288) @t224) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t378 @t249)))) % 41.55/41.75 (assume @p223 (forall @t51 (=> @t61 (=> @t77 (=> @t76 (tptp.c_Orderings_Oord__class_Oless @t41 @t322 @t44)))))) % 41.55/41.75 (assume @p224 (forall @t95 (=> @t132 (and (=> @t92 (= @t341 @t19)) @t352)))) % 41.55/41.75 (assume @p225 (forall (@list @t145 @t143 @t41) (=> @t94 (= (= (tptp.hAPP @t245 @t145) @t72) (or @t196 (not (= (tptp.c_Polynomial_Oorder @t41 @t145 @t143) @t19))))))) % 41.55/41.75 (assume @p226 (forall @t127 (=> @t164 @t380))) % 41.55/41.75 (assume @p227 (forall @t127 (=> @t164 @t381))) % 41.55/41.75 (assume @p228 (forall @t384 (=> (tptp.class_Rings_Oring__no__zero__divisors @t41) (= (= @t383 @t72) (or @t159 (= @t55 @t72)))))) % 41.55/41.75 (assume @p229 (forall @t388 (=> @t163 (=> @t154 (=> @t387 (not @t385)))))) % 41.55/41.75 (assume @p230 (forall @t388 (=> @t163 (=> @t385 (or @t153 @t386))))) % 41.55/41.75 (assume @p231 @t390) % 41.55/41.75 (assume @p232 (forall @t101 (=> @t162 (not (= @t72 @t44))))) % 41.55/41.75 (assume @p233 (forall @t393 (=> @t94 (= (= (tptp.hAPP @t245 @t391) @t72) (tptp.c_Rings_Odvd__class_Odvd @t42 (tptp.c_Polynomial_OpCons @t41 @t392 @t45) @t143))))) % 41.55/41.75 (assume @p234 (forall (@list @t143 @t391 @t41) (=> @t94 (= (tptp.c_Rings_Odvd__class_Odvd @t42 (tptp.c_Polynomial_OpCons @t41 @t391 @t45) @t143) (= (tptp.hAPP @t245 @t392) @t72))))) % 41.55/41.75 (assume @p235 (forall @t127 (=> @t49 (=> (tptp.c_Rings_Odvd__class_Odvd @t41 @t72 @t20) @t153)))) % 41.55/41.75 (assume @p236 (forall @t388 (=> @t397 (= @t396 @t395)))) % 41.55/41.75 (assume @p237 (forall @t388 (=> @t397 (= @t396 @t399)))) % 41.55/41.75 (assume @p238 (forall @t388 (=> @t397 (= @t399 @t395)))) % 41.55/41.75 (assume @p239 (forall @t388 (=> @t397 (= (tptp.hAPP @t398 @t394) @t168)))) % 41.55/41.75 (assume @p240 (forall @t384 (=> @t94 (= (= (tptp.hAPP @t382 @t145) (tptp.hAPP @t402 @t55)) (or @t146 @t401))))) % 41.55/41.75 (assume @p241 (forall @t388 (=> @t49 (tptp.c_Rings_Odvd__class_Odvd @t41 @t20 @t168)))) % 41.55/41.75 (assume @p242 (forall @t388 (=> @t49 (tptp.c_Rings_Odvd__class_Odvd @t41 @t20 @t404)))) % 41.55/41.75 (assume @p243 (forall @t357 (=> @t49 (=> @t356 @t406)))) % 41.55/41.75 (assume @p244 (forall @t407 (=> @t49 (=> @t354 @t406)))) % 41.55/41.75 (assume @p245 (forall @t411 (=> @t49 (=> @t356 (=> (tptp.c_Rings_Odvd__class_Odvd @t41 @t353 @t408) (tptp.c_Rings_Odvd__class_Odvd @t41 @t410 @t409)))))) % 41.55/41.75 (assume @p246 (forall (@list @t224 @t79 @t20 @t41) (=> @t412 (=> (= @t20 (tptp.hAPP @t403 @t224)) (tptp.c_Rings_Odvd__class_Odvd @t41 @t79 @t20))))) % 41.55/41.75 (assume @p247 (forall @t357 (=> @t49 (=> @t413 @t354)))) % 41.55/41.75 (assume @p248 (forall @t357 (=> @t49 (=> @t413 @t355)))) % 41.55/41.75 (assume @p249 (forall @t127 (=> @t49 (tptp.c_Rings_Odvd__class_Odvd @t41 @t44 @t20)))) % 41.55/41.75 (assume @p250 (forall @t416 (=> @t415 (=> @t121 (=> (tptp.c_Rings_Odvd__class_Odvd @t41 @t118 @t414) (tptp.c_Rings_Odvd__class_Odvd @t41 @t118 (tptp.c_Groups_Ominus__class_Ominus @t41 @t115 @t414))))))) % 41.55/41.75 (assume @p251 (forall @t321 (=> @t415 (= (tptp.c_Rings_Odvd__class_Odvd @t41 @t54 @t318) @t417)))) % 41.55/41.75 (assume @p252 (forall @t321 (=> @t415 (= (tptp.c_Rings_Odvd__class_Odvd @t41 @t418 @t53) @t417)))) % 41.55/41.75 (assume @p253 (forall @t316 (= @t158 @t317))) % 41.55/41.75 (assume @p254 (forall @t230 (=> @t109 @t190))) % 41.55/41.75 (assume @p255 (forall @t211 (=> @t190 @t83))) % 41.55/41.75 (assume @p256 (forall @t282 (=> @t281 (=> @t304 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t372 @t371))))) % 41.55/41.75 (assume @p257 (forall @t282 (=> @t281 (=> @t304 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t370 @t368))))) % 41.55/41.75 (assume @p258 (forall @t347 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t346 @t345) @t420))) % 41.55/41.75 (assume @p259 (forall @t255 (= @t421 @t420))) % 41.55/41.75 (assume @p260 (forall @t240 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t239) (and @t311 @t317)))) % 41.55/41.75 (assume @p261 (forall @t316 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t102 @t19) @t103))) % 41.55/41.75 (assume @p262 (forall @t240 (= @t266 (and @t285 @t358)))) % 41.55/41.75 (assume @p263 (forall @t240 (= @t285 @t267))) % 41.55/41.75 (assume @p264 (forall @t230 (=> @t109 @t64))) % 41.55/41.75 (assume @p265 (forall @t230 (=> @t64 (=> @t360 @t109)))) % 41.55/41.75 (assume @p266 (forall @t230 (=> (or @t109 @t273) @t64))) % 41.55/41.75 (assume @p267 (forall @t211 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t19 @t40) @t19))) % 41.55/41.75 (assume @p268 (forall @t260 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t63 @t19) @t63))) % 41.55/41.75 (assume @p269 (forall @t260 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t63 @t63) @t19))) % 41.55/41.75 (assume @p270 (forall @t230 (=> @t422 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 @t63) @t19) @t273)))) % 41.55/41.75 (assume @p271 (forall (@list @t40 @t224 @t279) (=> @t280 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t279 @t40) @t224)))) % 41.55/41.75 (assume @p272 (forall @t425 (=> @t109 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t63 @t373) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t424 @t423))))) % 41.55/41.75 (assume @p273 (forall @t230 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t288 @t63))) % 41.55/41.75 (assume @p274 (forall @t425 (=> @t64 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t424 @t423)))) % 41.55/41.75 (assume @p275 (forall @t425 (=> @t64 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t63 @t373) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 @t373))))) % 41.55/41.75 (assume @p276 @t429) % 41.55/41.75 (assume @p277 (forall @t255 (=> @t433 (=> @t432 (= (= @t431 @t430) @t195))))) % 41.55/41.75 (assume @p278 (forall @t292 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t63) (=> @t323 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t63 @t224) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 @t224)) @t288))))) % 41.55/41.75 (assume @p279 (forall @t255 (=> @t433 (=> @t432 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t431 @t430) @t285))))) % 41.55/41.75 (assume @p280 (forall @t95 (=> @t94 (=> @t93 @t434)))) % 41.55/41.75 (assume @p281 (forall @t95 (=> @t94 (=> @t93 (and @t150 @t434))))) % 41.55/41.75 (assume @p282 (forall @t127 (=> @t436 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t435)))) % 41.55/41.75 (assume @p283 (forall @t384 (=> @t441 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t383) (or (and @t440 @t439) (and @t438 @t437)))))) % 41.55/41.75 (assume @p284 (forall @t384 (=> @t441 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t383 @t72) (or (and @t440 @t437) (and @t438 @t439)))))) % 41.55/41.75 (assume @p285 (forall @t388 (=> @t443 (=> @t73 (=> @t202 @t442))))) % 41.55/41.75 (assume @p286 (forall @t388 (=> @t443 (=> @t73 (=> @t445 @t444))))) % 41.55/41.75 (assume @p287 (forall @t388 (=> @t443 (=> @t73 (=> @t445 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t404 @t72)))))) % 41.55/41.75 (assume @p288 (forall @t388 (=> @t443 (=> @t446 (=> @t202 @t444))))) % 41.55/41.75 (assume @p289 (forall @t388 (=> @t447 (=> @t446 (=> @t445 @t442))))) % 41.55/41.75 (assume @p290 (forall @t357 (=> @t450 (=> @t186 (=> @t449 @t448))))) % 41.55/41.75 (assume @p291 (forall @t357 (=> @t450 @t455))) % 41.55/41.75 (assume @p292 (forall @t357 (=> (tptp.class_Rings_Oordered__comm__semiring @t41) @t455))) % 41.55/41.75 (assume @p293 (forall @t458 (=> @t447 (=> @t457 (=> @t456 @t448))))) % 41.55/41.75 (assume @p294 (forall @t458 (=> @t447 (=> @t457 (=> @t456 @t454))))) % 41.55/41.75 (assume @p295 (forall @t411 (=> @t450 (=> @t186 (=> @t460 (=> @t73 @t459)))))) % 41.55/41.75 (assume @p296 (forall @t411 (=> @t450 (=> @t186 (=> @t460 (=> @t202 @t459)))))) % 41.55/41.75 (assume @p297 (forall @t388 (=> @t447 (=> (or (and @t73 @t202) (and @t446 @t445)) @t442)))) % 41.55/41.75 (assume @p298 (forall @t388 (=> @t443 (=> (or (and @t73 @t445) (and @t446 @t202)) @t444)))) % 41.55/41.75 (assume @p299 (forall @t127 (=> @t436 (not (tptp.c_Orderings_Oord__class_Oless @t41 @t435 @t72))))) % 41.55/41.75 (assume @p300 (forall @t468 (=> @t441 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t467 @t466) @t465)))) % 41.55/41.75 (assume @p301 (forall @t473 (=> @t441 (= @t472 @t465)))) % 41.55/41.75 (assume @p302 (forall @t473 (=> @t441 (=> @t464 (= @t472 @t463))))) % 41.55/41.75 (assume @p303 (forall @t388 (=> @t476 (=> @t77 (=> @t475 @t474))))) % 41.55/41.75 (assume @p304 (forall @t388 (=> @t476 (=> @t77 (=> @t478 @t477))))) % 41.55/41.75 (assume @p305 (forall @t388 (=> @t476 (=> @t77 (=> @t478 (tptp.c_Orderings_Oord__class_Oless @t41 @t404 @t72)))))) % 41.55/41.75 (assume @p306 (forall @t388 (=> @t476 (=> @t474 @t479)))) % 41.55/41.75 (assume @p307 (forall @t480 (=> @t476 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t404) @t479)))) % 41.55/41.75 (assume @p308 (forall @t473 (=> @t441 (=> @t462 (= @t472 @t461))))) % 41.55/41.75 (assume @p309 (forall @t388 (=> @t476 (=> @t481 (=> @t475 @t477))))) % 41.55/41.75 (assume @p310 (forall @t388 (=> @t441 (=> @t481 (=> @t478 @t474))))) % 41.55/41.75 (assume @p311 (forall @t357 (=> @t476 (=> @t84 (=> @t483 @t482))))) % 41.55/41.75 (assume @p312 (forall @t357 (=> @t476 @t485))) % 41.55/41.75 (assume @p313 (forall @t357 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t41) @t485))) % 41.55/41.75 (assume @p314 (forall @t458 (=> @t441 (=> @t487 (=> @t486 @t482))))) % 41.55/41.75 (assume @p315 (forall @t458 (=> @t441 (=> @t487 (=> @t486 @t484))))) % 41.55/41.75 (assume @p316 (forall @t101 (=> @t61 (not (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t44 @t72))))) % 41.55/41.75 (assume @p317 (forall @t101 (=> @t61 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t44)))) % 41.55/41.75 (assume @p318 (forall @t101 (=> @t61 (not (tptp.c_Orderings_Oord__class_Oless @t41 @t44 @t72))))) % 41.55/41.75 (assume @p319 (forall @t101 (=> @t61 (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t44)))) % 41.55/41.75 (assume @p320 (forall @t490 (=> @t220 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t145 @t489) @t488)))) % 41.55/41.75 (assume @p321 (forall (@list @t40 @t63 @t41) (=> @t61 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t44 @t63) (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t44 @t40) (tptp.c_Orderings_Oord__class_Oless @t41 @t44 (tptp.hAPP @t214 @t40))))))) % 41.55/41.75 (assume @p322 (forall @t468 (=> @t94 (= (tptp.c_Rings_Odvd__class_Odvd @t41 @t467 @t466) @t493)))) % 41.55/41.75 (assume @p323 (forall @t473 (=> @t94 (= (tptp.c_Rings_Odvd__class_Odvd @t41 @t471 @t470) @t493)))) % 41.55/41.75 (assume @p324 (forall @t497 (=> @t156 (= (= @t496 @t44) (or @t494 (= @t54 @t205)))))) % 41.55/41.75 (assume @p325 (forall @t255 (= @t499 @t498))) % 41.55/41.75 (assume @p326 (forall @t347 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t346 @t345) @t498))) % 41.55/41.75 (assume @p327 (forall @t272 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t102 @t194)) @t266))) % 41.55/41.75 (assume @p328 (forall @t275 (=> @t83 (=> @t309 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t288 @t63))))) % 41.55/41.75 (assume @p329 (forall @t240 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t194 @t102) @t19) @t285))) % 41.55/41.75 (assume @p330 (forall @t230 (=> @t64 @t422))) % 41.55/41.75 (assume @p331 (forall @t500 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 @t79) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t353 @t20) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t20 @t353) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t79 @t353)))))) % 41.55/41.75 (assume @p332 (forall @t255 (=> @t433 (=> @t432 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t431 @t430) @t266))))) % 41.55/41.75 (assume @p333 (forall @t473 (=> @t441 (=> @t464 (= @t502 @t501))))) % 41.55/41.75 (assume @p334 (forall @t473 (=> @t441 (=> @t462 (= @t502 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t55 @t145)))))) % 41.55/41.75 (assume @p335 (forall @t411 (=> @t476 (=> @t84 (=> @t505 (=> @t475 @t504)))))) % 41.55/41.75 (assume @p336 (forall @t411 (=> @t476 (=> @t84 (=> @t505 (=> @t73 @t504)))))) % 41.55/41.75 (assume @p337 (forall @t411 (=> @t476 (=> @t84 (=> @t460 (=> @t73 (=> @t483 @t503))))))) % 41.55/41.75 (assume @p338 (forall @t411 (=> @t476 (=> @t186 (=> @t505 (=> @t77 @t504)))))) % 41.55/41.75 (assume @p339 (forall @t407 (=> @t508 @t507))) % 41.55/41.75 (assume @p340 (forall @t407 (=> @t476 @t507))) % 41.55/41.75 (assume @p341 (forall @t510 (=> @t508 @t509))) % 41.55/41.75 (assume @p342 (forall @t510 (=> @t476 @t509))) % 41.55/41.75 (assume @p343 (forall @t407 (=> @t476 (=> @t448 @t511)))) % 41.55/41.75 (assume @p344 (forall @t510 (=> @t476 (=> @t454 @t511)))) % 41.55/41.75 (assume @p345 (=> (forall @t6 (=> (= (tptp.hAPP @t209 @t3) @t98) (= (tptp.hAPP @t208 @t3) @t98))) (=> @t34 @t96))) % 41.55/41.75 (assume @p346 (forall (@list @t89 @t63) (and (=> @t342 (= @t515 @t126)) (=> @t516 (= @t515 (tptp.hAPP @t514 (tptp.hAPP @t513 @t512))))))) % 41.55/41.75 (assume @p347 (forall @t211 (=> @t83 (= @t40 @t324)))) % 41.55/41.75 (assume @p348 (forall @t255 (=> @t419 (= @t499 @t285)))) % 41.55/41.75 (assume @p349 (forall @t108 (= @t107 (or @t103 @t104)))) % 41.55/41.75 (assume @p350 (forall @t230 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t63 @t227) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t512 @t40)))) % 41.55/41.75 (assume @p351 (forall @t255 (=> @t419 (= @t518 @t517)))) % 41.55/41.75 (assume @p352 (forall @t255 (=> @t419 (= @t421 @t266)))) % 41.55/41.75 (assume @p353 (forall @t255 (=> @t419 (= @t351 @t195)))) % 41.55/41.75 (assume @p354 (forall @t210 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 @t320) (or (= @t118 @t19) (= @t118 @t225))))) % 41.55/41.75 (assume @p355 (forall @t210 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t118 @t118))) % 41.55/41.75 (assume @p356 (forall @t521 (= @t319 (and @t520 @t519)))) % 41.55/41.75 (assume @p357 (forall @t521 (= @t520 (or @t522 @t319)))) % 41.55/41.75 (assume @p358 (forall @t521 (= @t522 (and @t520 @t523)))) % 41.55/41.75 (assume @p359 (forall @t528 (=> @t527 (=> @t525 @t526)))) % 41.55/41.75 (assume @p360 (forall @t257 (=> @t256 @t529))) % 41.55/41.75 (assume @p361 (forall (@list @t54 @t53) (=> @t519 (= @t520 @t319)))) % 41.55/41.75 (assume @p362 (forall @t257 (=> @t529 (or @t531 @t256)))) % 41.55/41.75 (assume @p363 (forall @t528 (=> @t525 (=> @t527 @t526)))) % 41.55/41.75 (assume @p364 (forall @t500 (=> @t204 (=> @t533 @t532)))) % 41.55/41.75 (assume @p365 (forall @t500 (=> @t525 (=> @t534 @t532)))) % 41.55/41.75 (assume @p366 (forall @t230 (=> @t303 (=> @t308 @t273)))) % 41.55/41.75 (assume @p367 (forall @t257 (=> @t529 (=> @t530 @t256)))) % 41.55/41.75 (assume @p368 (forall @t537 (=> @t529 (=> @t536 @t535)))) % 41.55/41.75 (assume @p369 (forall @t500 (=> @t204 (=> (and @t533 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t353 @t79))) @t538)))) % 41.55/41.75 (assume @p370 (forall @t537 (=> @t529 @t540))) % 41.55/41.75 (assume @p371 (forall @t257 (=> @t531 @t338))) % 41.55/41.75 (assume @p372 (forall @t257 (=> @t531 (not (and @t530 (not @t529)))))) % 41.55/41.75 (assume @p373 (forall @t257 (=> @t531 @t529))) % 41.55/41.75 (assume @p374 (forall @t257 (=> @t531 @t541))) % 41.55/41.75 (assume @p375 (forall @t500 (=> @t526 (=> @t534 @t538)))) % 41.55/41.75 (assume @p376 (forall @t537 (=> @t531 (=> @t536 @t539)))) % 41.55/41.75 (assume @p377 (forall @t528 (=> @t526 (not (and @t524 (not @t525)))))) % 41.55/41.75 (assume @p378 (forall @t537 (=> @t531 @t540))) % 41.55/41.75 (assume @p379 (forall @t255 (= @t351 (or @t343 @t195)))) % 41.55/41.75 (assume @p380 (forall @t255 (= @t518 (or @t343 @t517)))) % 41.55/41.75 (assume @p381 (forall @t542 (=> @t158 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t105 @t145) @t102) (tptp.hAPP (tptp.hAPP @t105 @t55) @t102)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t145 @t55))))) % 41.55/41.75 (assume @p382 (forall @t543 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t105 @t20) @t40) (tptp.hAPP (tptp.hAPP @t105 @t79) @t40)) (=> @t190 @t525)))) % 41.55/41.75 (assume @p383 (forall @t275 (=> @t83 (=> @t303 @t309)))) % 41.55/41.75 (assume @p384 (forall @t295 (=> @t49 (= (tptp.hAPP @t119 @t19) @t44)))) % 41.55/41.75 (assume @p385 (forall @t547 (=> @t49 (= (tptp.hAPP @t546 @t118) @t544)))) % 41.55/41.75 (assume @p386 @t549) % 41.55/41.75 (assume @p387 @t559) % 41.55/41.75 (assume @p388 @t562) % 41.55/41.75 (assume @p389 (forall @t567 (=> @t49 (= @t566 (tptp.hAPP @t552 (tptp.hAPP @t564 @t553)))))) % 41.55/41.75 (assume @p390 @t569) % 41.55/41.75 (assume @p391 (forall @t571 (=> @t49 (= @t570 (tptp.hAPP @t552 (tptp.hAPP @t564 @t555)))))) % 41.55/41.75 (assume @p392 (forall @t571 (=> @t49 (= @t570 (tptp.hAPP @t554 (tptp.hAPP @t565 @t550)))))) % 41.55/41.75 (assume @p393 @t573) % 41.55/41.75 (assume @p394 (forall @t543 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t574 @t20) @t40) (tptp.hAPP (tptp.hAPP @t574 @t79) @t40)) (=> @t190 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t20 @t79))))) % 41.55/41.75 (assume @p395 (forall @t542 (=> @t158 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t574 @t145) @t102) (tptp.hAPP (tptp.hAPP @t574 @t55) @t102)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t145 @t55))))) % 41.55/41.75 (assume @p396 (forall @t127 (=> @t49 @t380))) % 41.55/41.75 (assume @p397 (forall @t127 (=> @t49 @t381))) % 41.55/41.75 (assume @p398 (forall @t127 (=> @t49 @t575))) % 41.55/41.75 (assume @p399 (forall @t127 (=> @t49 @t576))) % 41.55/41.75 (assume @p400 (forall (@list @t133 @t115 @t118 @t41) (=> @t49 (= (tptp.hAPP (tptp.hAPP @t56 @t223) @t133) (tptp.hAPP @t546 (tptp.hAPP @t116 @t133)))))) % 41.55/41.75 (assume @p401 (forall @t210 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t118 @t19))) % 41.55/41.75 (assume @p402 (forall @t578 (=> @t49 (= (tptp.hAPP (tptp.hAPP @t56 @t577) @t133) (tptp.hAPP @t119 (tptp.hAPP @t514 @t133)))))) % 41.55/41.75 (assume @p403 (forall @t295 (=> @t49 (= (tptp.hAPP @t119 @t126) @t118)))) % 41.55/41.75 (assume @p404 (forall @t210 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t126 @t118))) % 41.55/41.75 (assume @p405 (forall @t295 (=> @t415 (= @t579 (tptp.hAPP (tptp.hAPP @t86 @t205) @t118))))) % 41.55/41.75 (assume @p406 (forall @t547 (=> @t49 (= @t544 @t580)))) % 41.55/41.75 (assume @p407 (forall @t547 (=> @t49 (= @t580 @t544)))) % 41.55/41.75 (assume @p408 (forall @t127 (=> @t581 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t72 @t20) @t148)))) % 41.55/41.75 (assume @p409 (forall @t490 (=> @t582 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t489) @t488)))) % 41.55/41.75 (assume @p410 (forall @t490 (=> @t582 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t489 @t72) @t583)))) % 41.55/41.75 (assume @p411 (forall @t490 (=> @t584 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t489 @t145) @t583)))) % 41.55/41.75 (assume @p412 (forall @t490 (=> @t582 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t489) @t438)))) % 41.55/41.75 (assume @p413 (forall @t497 (=> @t132 (= (= @t72 @t54) @t585)))) % 41.55/41.75 (assume @p414 @t588) % 41.55/41.75 (assume @p415 (forall @t497 (=> (tptp.class_Groups_Oone @t41) (= (= @t44 @t54) @t494)))) % 41.55/41.75 (assume @p416 (forall @t593 (=> @t176 (=> @t592 (= @t146 @t590))))) % 41.55/41.75 (assume @p417 (forall @t384 (=> @t581 (= (= @t489 @t400) @t146)))) % 41.55/41.75 (assume @p418 (forall @t384 (=> @t581 (= (= @t489 @t55) (= @t400 @t145))))) % 41.55/41.75 (assume @p419 (forall @t384 (=> @t581 (= @t401 (= @t55 @t489))))) % 41.55/41.75 (assume @p420 (forall @t127 (=> @t581 (= (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t148) @t20)))) % 41.55/41.75 (assume @p421 (forall @t384 (=> @t581 (= @t594 @t146)))) % 41.55/41.75 (assume @p422 (forall @t384 (=> @t176 (= @t146 @t594)))) % 41.55/41.75 (assume @p423 (forall @t127 (=> @t581 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t20 @t20) @t72)))) % 41.55/41.75 (assume @p424 (forall @t127 (=> @t581 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t20 @t72) @t20)))) % 41.55/41.75 (assume @p425 (forall @t593 (=> @t582 (=> @t592 (= @t501 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t391 @t589)))))) % 41.55/41.75 (assume @p426 (forall @t593 (=> @t582 (=> @t592 (= @t463 (tptp.c_Orderings_Oord__class_Oless @t41 @t391 @t589)))))) % 41.55/41.75 (assume @p427 (forall @t490 (=> @t584 (= (= @t489 @t145) @t159)))) % 41.55/41.75 (assume @p428 (forall @t490 (=> @t581 (= (= @t489 @t72) @t159)))) % 41.55/41.75 (assume @p429 (forall @t490 (=> @t584 (= (= @t145 @t489) @t159)))) % 41.55/41.75 (assume @p430 (forall @t490 (=> @t581 (= (= @t72 @t489) @t595)))) % 41.55/41.75 (assume @p431 (forall @t101 (=> @t581 (= (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t72) @t72)))) % 41.55/41.75 (assume @p432 (forall @t127 (=> @t169 @t576))) % 41.55/41.75 (assume @p433 (forall @t127 (=> @t125 @t576))) % 41.55/41.75 (assume @p434 (forall @t127 (=> @t169 @t575))) % 41.55/41.75 (assume @p435 (forall @t127 (=> @t125 @t575))) % 41.55/41.75 (assume @p436 (forall @t388 (=> @t582 (=> @t186 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t394 @t148))))) % 41.55/41.75 (assume @p437 (forall @t596 (=> @t582 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t400 @t489) @t501)))) % 41.55/41.75 (assume @p438 (forall @t384 (=> @t582 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t489 @t55) (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t400 @t145))))) % 41.55/41.75 (assume @p439 (forall @t384 (=> @t582 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t145 @t400) (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t55 @t489))))) % 41.55/41.75 (assume @p440 (forall @t596 (=> @t582 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t400 @t489) @t463)))) % 41.55/41.75 (assume @p441 (forall @t384 (=> @t582 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t489 @t55) (tptp.c_Orderings_Oord__class_Oless @t41 @t400 @t145))))) % 41.55/41.75 (assume @p442 (forall @t384 (=> @t582 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t145 @t400) (tptp.c_Orderings_Oord__class_Oless @t41 @t55 @t489))))) % 41.55/41.75 (assume @p443 (forall @t388 (=> @t176 (= @t597 (tptp.c_Groups_Ominus__class_Ominus @t41 @t79 @t20))))) % 41.55/41.75 (assume @p444 (forall @t384 (=> @t582 (= @t501 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t591 @t72))))) % 41.55/41.75 (assume @p445 (forall @t384 (=> @t582 (= @t463 (tptp.c_Orderings_Oord__class_Oless @t41 @t591 @t72))))) % 41.55/41.75 (assume @p446 (forall @t490 (=> @t584 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t489 @t145) @t440)))) % 41.55/41.75 (assume @p447 (forall @t490 (=> @t582 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t489 @t72) @t440)))) % 41.55/41.75 (assume @p448 (forall @t490 (=> @t584 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t145 @t489) @t438)))) % 41.55/41.75 (assume @p449 (forall @t184 (=> @t132 (and (=> @t92 (= @t598 @t19)) (=> @t93 (= @t598 @t340)))))) % 41.55/41.75 (assume @p450 (forall @t295 (=> @t599 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t118 @t118)))) % 41.55/41.75 (assume @p451 (forall @t101 (=> @t131 (= @t56 (tptp.c_Power_Opower_Opower @t41 @t44 @t86))))) % 41.55/41.75 (assume @p452 (forall @t537 (= (tptp.hAPP (tptp.hAPP @t574 @t601) @t414) (tptp.hAPP @t600 (tptp.hAPP (tptp.hAPP @t122 @t115) @t414))))) % 41.55/41.75 (assume @p453 (forall @t137 (=> @t183 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t41 @t602) (tptp.hAPP @t138 @t134))))) % 41.55/41.75 (assume @p454 (forall @t185 (=> @t183 (= (tptp.c_Polynomial_Opcompose @t41 @t43 @t133) @t43)))) % 41.55/41.75 (assume @p455 (forall @t300 (=> @t183 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t602) @t118) (tptp.hAPP @t297 @t296))))) % 41.55/41.75 (assume @p456 (forall (@list @t145 @t604 @t603 @t41) (= (tptp.hAPP @t605 @t19) @t603))) % 41.55/41.75 (assume @p457 (forall (@list @t102 @t145 @t604 @t603 @t41) (= (tptp.hAPP @t605 @t268) (tptp.hAPP (tptp.hAPP @t604 @t145) (tptp.hAPP @t605 @t102))))) % 41.55/41.75 (assume @p458 (forall @t609 (=> @t608 (= @t607 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t178 @t5 @t4)))))) % 41.55/41.75 (assume @p459 (forall @t221 (=> @t612 (or @t611 @t610)))) % 41.55/41.75 (assume @p460 (forall @t321 (=> @t615 (= @t319 (and @t614 @t613))))) % 41.55/41.75 (assume @p461 (forall @t221 (=> @t599 (=> @t256 @t611)))) % 41.55/41.75 (assume @p462 (forall (@list @t54 @t1 @t2 @t41 @t178) (=> @t608 (=> @t607 (tptp.c_Orderings_Oord__class_Oless__eq @t178 (tptp.hAPP @t2 @t54) (tptp.hAPP @t1 @t54)))))) % 41.55/41.75 (assume @p463 (forall @t617 (=> @t615 (=> @t613 @t616)))) % 41.55/41.75 (assume @p464 (forall @t357 (=> @t620 (=> @t204 (=> @t619 @t618))))) % 41.55/41.75 (assume @p465 (forall @t357 (=> @t615 (=> @t204 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t353 @t79) @t621))))) % 41.55/41.75 (assume @p466 (forall @t357 (=> @t620 (=> @t186 (=> @t534 @t618))))) % 41.55/41.75 (assume @p467 (forall @t458 (=> @t615 (=> @t457 (=> @t534 @t621))))) % 41.55/41.75 (assume @p468 (forall @t221 (=> @t615 (=> @t611 (=> @t610 @t256))))) % 41.55/41.75 (assume @p469 (forall @t416 (=> @t599 (=> @t611 (=> @t622 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t118 @t414)))))) % 41.55/41.75 (assume @p470 (forall @t623 (=> @t615 (=> @t610 (=> @t611 @t256))))) % 41.55/41.75 (assume @p471 (forall @t625 (=> @t615 (=> @t610 (=> @t624 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t414 @t118)))))) % 41.55/41.75 (assume @p472 (forall @t221 (=> @t612 (=> (not @t611) @t610)))) % 41.55/41.75 (assume @p473 (forall @t295 (=> @t599 (not (tptp.c_Orderings_Oord__class_Oless @t41 @t118 @t118))))) % 41.55/41.75 (assume @p474 (forall @t321 (=> @t612 (= @t523 (or @t627 @t626))))) % 41.55/41.75 (assume @p475 (forall @t321 (=> @t612 (= @t628 (or @t626 @t319))))) % 41.55/41.75 (assume @p476 (forall @t221 (=> @t612 (or @t336 @t256 @t335)))) % 41.55/41.75 (assume @p477 (forall @t617 (=> @t612 (=> (not @t626) @t629)))) % 41.55/41.75 (assume @p478 (forall @t221 (=> @t612 @t339))) % 41.55/41.75 (assume @p479 (forall @t221 (=> @t615 (=> @t336 @t338)))) % 41.55/41.75 (assume @p480 (forall @t221 (=> @t599 (=> @t336 (not @t335))))) % 41.55/41.75 (assume @p481 (forall @t221 (=> @t615 (=> @t336 @t541)))) % 41.55/41.75 (assume @p482 (forall @t388 (=> @t599 (=> @t84 (not @t487))))) % 41.55/41.75 (assume @p483 (forall @t480 (=> @t615 (=> @t487 (not @t84))))) % 41.55/41.75 (assume @p484 (forall @t357 (=> @t620 (=> @t204 (=> @t631 @t630))))) % 41.55/41.75 (assume @p485 (forall @t357 (=> @t615 (=> @t204 (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t353 @t79) @t632))))) % 41.55/41.75 (assume @p486 (forall @t357 (=> @t620 (=> @t84 (=> @t534 @t630))))) % 41.55/41.75 (assume @p487 (forall @t458 (=> @t615 (=> @t487 (=> @t534 @t632))))) % 41.55/41.75 (assume @p488 (forall @t416 (=> @t599 (=> @t336 @t634)))) % 41.55/41.75 (assume @p489 (forall @t625 (=> @t615 (=> @t335 @t636)))) % 41.55/41.75 (assume @p490 (forall @t221 (=> @t612 (=> @t337 (=> @t338 @t335))))) % 41.55/41.75 (assume @p491 (forall @t230 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t63) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t40) (=> @t638 (=> @t637 @t273)))))) % 41.55/41.75 (assume @p492 (forall @t230 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t63) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t63 @t40) (not @t637))))) % 41.55/41.75 (assume @p493 (forall (@list @t40 @t414) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t414 @t40) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t40) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t414 @t40))))) % 41.55/41.75 (assume @p494 (forall @t292 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t224 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t63 @t40)) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t224 @t40) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t224 @t63))))) % 41.55/41.75 (assume @p495 (forall @t292 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t641 @t63) (tptp.hAPP @t641 @t40)) (=> (not (= @t224 @t639)) @t638)))) % 41.55/41.75 (assume @p496 (forall @t302 (=> @t132 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t41 @t143) @t19) @t196)))) % 41.55/41.75 (assume @p497 (forall @t321 (=> @t612 (= @t628 @t613)))) % 41.55/41.75 (assume @p498 (forall @t321 (=> @t612 (= (not @t614) @t626)))) % 41.55/41.75 (assume @p499 (forall @t221 (=> @t612 (or @t611 @t335)))) % 41.55/41.75 (assume @p500 (forall @t321 (=> @t615 (= @t627 (and @t614 @t523))))) % 41.55/41.75 (assume @p501 (forall @t321 (=> @t599 (= @t627 (and @t614 (not @t613)))))) % 41.55/41.75 (assume @p502 (forall @t321 (=> @t615 (= @t614 (or @t627 @t319))))) % 41.55/41.75 (assume @p503 (forall @t221 (=> @t612 (=> @t337 @t610)))) % 41.55/41.75 (assume @p504 (forall @t623 (=> @t612 (=> (not @t610) @t336)))) % 41.55/41.75 (assume @p505 (forall @t321 (=> @t612 (=> @t628 @t616)))) % 41.55/41.75 (assume @p506 (forall @t388 (=> @t615 (=> @t527 (=> @t186 @t84))))) % 41.55/41.75 (assume @p507 (forall @t388 (=> @t615 (=> @t527 (=> @t457 @t487))))) % 41.55/41.75 (assume @p508 (forall @t623 (=> @t612 (=> @t610 @t337)))) % 41.55/41.75 (assume @p509 (forall @t221 (=> @t599 (=> @t336 @t611)))) % 41.55/41.75 (assume @p510 (forall @t321 (=> @t612 (=> @t614 @t629)))) % 41.55/41.75 (assume @p511 (forall @t221 (=> @t615 (=> @t611 (or @t336 @t256))))) % 41.55/41.75 (assume @p512 (forall @t388 (=> @t615 (=> @t186 (=> @t527 @t84))))) % 41.55/41.75 (assume @p513 (forall @t480 (=> @t615 (=> @t457 (=> @t527 @t487))))) % 41.55/41.75 (assume @p514 (forall @t416 (=> @t599 (=> @t336 (=> @t622 @t633))))) % 41.55/41.75 (assume @p515 (forall @t625 (=> @t615 (=> @t335 (=> @t624 @t635))))) % 41.55/41.75 (assume @p516 (forall @t416 (=> @t599 (=> @t611 @t634)))) % 41.55/41.75 (assume @p517 (forall @t625 (=> @t615 (=> @t610 @t636)))) % 41.55/41.75 (assume @p518 (forall @t257 (=> @t359 @t642))) % 41.55/41.75 (assume @p519 (forall @t200 (=> @t220 (= (tptp.c_Polynomial_Opos__poly @t41 @t147) (or @t643 (and @t196 @t583)))))) % 41.55/41.75 (assume @p520 (forall @t388 (=> @t176 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t148 @t394) @t597)))) % 41.55/41.75 (assume @p521 (forall @t388 (=> @t644 (= @t395 @t396)))) % 41.55/41.75 (assume @p522 (forall @t646 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t645 @t645))) % 41.55/41.75 (assume @p523 (forall @t649 (or @t648 @t647))) % 41.55/41.75 (assume @p524 (forall @t609 (=> @t608 (= (tptp.c_Orderings_Oord__class_Oless @t606 @t2 @t1) (and @t607 (not (tptp.c_Orderings_Oord__class_Oless__eq @t606 @t1 @t2))))))) % 41.55/41.75 (assume @p525 (forall (@list @t650 @t651) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t651 @t650) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t651 @t650) (not (= @t651 @t650)))))) % 41.55/41.75 (assume @p526 (forall @t257 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t118 @t115) @t256 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t115 @t118)))) % 41.55/41.75 (assume @p527 (forall @t282 (=> @t652 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t279 @t224) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t110 @t224))))) % 41.55/41.75 (assume @p528 (forall @t649 (=> @t648 (=> @t647 (= @t414 @t645))))) % 41.55/41.75 (assume @p529 (forall @t282 (=> @t654 (=> @t653 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t641 @t110) (tptp.hAPP @t641 @t279)))))) % 41.55/41.75 (assume @p530 (forall @t240 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t194) (= (= (tptp.hAPP (tptp.hAPP @t640 @t194) @t102) @t655) (and (= @t194 @t655) (= @t102 @t655)))))) % 41.55/41.75 (assume @p531 (forall @t663 (= (tptp.hAPP (tptp.hAPP @t640 @t662) @t645) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t661 @t658)))) % 41.55/41.75 (assume @p532 (forall @t665 (= (tptp.hAPP (tptp.hAPP @t640 (tptp.hAPP @t660 @t656)) @t664) (tptp.hAPP @t660 (tptp.hAPP @t657 @t664))))) % 41.55/41.75 (assume @p533 (forall @t649 (= (tptp.hAPP (tptp.hAPP @t640 @t668) @t645) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t667)))) % 41.55/41.75 (assume @p534 (forall @t672 (= (tptp.hAPP @t669 @t662) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t671 @t670)))) % 41.55/41.75 (assume @p535 (forall @t674 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t650 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t651 @t655)) @t673))) % 41.55/41.75 (assume @p536 (forall @t677 (= @t676 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t251 @t675) @t639)))) % 41.55/41.75 (assume @p537 (forall @t649 (= @t667 (tptp.hAPP @t669 @t414)))) % 41.55/41.75 (assume @p538 (forall @t678 (= (tptp.hAPP @t666 @t655) @t414))) % 41.55/41.75 (assume @p539 (forall @t679 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t655 @t651) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t651)))) % 41.55/41.75 (assume @p540 (forall @t678 (= (tptp.hAPP (tptp.hAPP @t640 @t655) @t414) @t414))) % 41.55/41.75 (assume @p541 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t639) @t639)) % 41.55/41.75 (assume @p542 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t655)) % 41.55/41.75 (assume @p543 (not (= @t639 @t655))) % 41.55/41.75 (assume @p544 (forall @t101 (=> @t220 (not (tptp.c_Polynomial_Opos__poly @t41 @t43))))) % 41.55/41.75 (assume @p545 (forall @t137 (=> @t220 (=> @t681 (=> @t680 (tptp.c_Polynomial_Opos__poly @t41 @t332)))))) % 41.55/41.75 (assume @p546 (forall @t321 (=> @t220 (= (tptp.c_Orderings_Oord__class_Oless__eq @t42 @t54 @t53) (or @t319 @t682))))) % 41.55/41.75 (assume @p547 (forall @t321 (=> @t220 (= (tptp.c_Orderings_Oord__class_Oless @t42 @t54 @t53) @t682)))) % 41.55/41.75 (assume @p548 (forall @t184 (=> @t220 (or @t92 @t681 (tptp.c_Polynomial_Opos__poly @t41 @t180))))) % 41.55/41.75 (assume @p549 (forall @t295 (=> @t644 (= (tptp.hAPP @t222 @t72) @t72)))) % 41.55/41.75 (assume @p550 (forall @t127 (=> @t644 @t381))) % 41.55/41.75 (assume @p551 (forall @t683 (=> @t644 (= (tptp.hAPP @t379 @t115) @t72)))) % 41.55/41.75 (assume @p552 (forall (@list @t79 @t41) (=> @t644 (= (tptp.hAPP @t379 @t79) @t72)))) % 41.55/41.75 (assume @p553 (forall @t689 (=> @t644 (= (tptp.hAPP @t688 @t684) (tptp.c_Groups_Ominus__class_Ominus @t41 @t686 @t685))))) % 41.55/41.75 (assume @p554 (forall @t692 (=> @t644 (= (tptp.hAPP (tptp.hAPP @t86 (tptp.c_Groups_Ominus__class_Ominus @t41 @t20 @t690)) @t79) (tptp.c_Groups_Ominus__class_Ominus @t41 @t168 @t691))))) % 41.55/41.75 (assume @p555 (forall @t697 (=> @t644 (= (tptp.hAPP @t694 @t687) (tptp.c_Groups_Ominus__class_Ominus @t41 @t696 @t695))))) % 41.55/41.75 (assume @p556 (forall @t700 (=> @t644 (= (tptp.hAPP @t87 (tptp.c_Groups_Ominus__class_Ominus @t41 @t79 @t698)) (tptp.c_Groups_Ominus__class_Ominus @t41 @t168 @t699))))) % 41.55/41.75 (assume @p557 (forall @t221 (=> @t644 (= (tptp.hAPP (tptp.hAPP @t86 @t579) @t115) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t223))))) % 41.55/41.75 (assume @p558 (forall @t388 (=> @t644 (= @t399 @t396)))) % 41.55/41.75 (assume @p559 (forall (@list @t118 @t693 @t41) (=> @t644 (= (tptp.hAPP @t694 @t579) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t696))))) % 41.55/41.75 (assume @p560 (forall (@list @t40 @t118) (=> @t701 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 (tptp.hAPP @t600 @t40))))) % 41.55/41.75 (assume @p561 (forall (@list @t702 @t194 @t251) (=> (not @t705) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t194 @t702) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t704 (tptp.hAPP @t703 @t702)))))) % 41.55/41.75 (assume @p562 (forall @t257 (=> @t701 (=> @t706 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 (tptp.hAPP (tptp.hAPP @t640 @t118) @t115)))))) % 41.55/41.75 (assume @p563 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t655)) % 41.55/41.75 (assume @p564 (forall @t678 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t668) @t414))) % 41.55/41.75 (assume @p565 (forall @t708 (= @t707 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t589 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t702))))) % 41.55/41.75 (assume @p566 (forall @t708 (= @t707 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t589) @t702)))) % 41.55/41.75 (assume @p567 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t639)) % 41.55/41.75 (assume @p568 (forall @t712 (and @t711 (=> (not @t710) (= @t709 @t639))))) % 41.55/41.75 (assume @p569 (forall @t321 (=> @t713 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t418 @t318) @t613)))) % 41.55/41.75 (assume @p570 (forall @t221 (=> @t713 (=> @t611 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t714 @t579))))) % 41.55/41.75 (assume @p571 (forall @t388 (=> @t715 (= (tptp.hAPP @t87 @t168) @t168)))) % 41.55/41.75 (assume @p572 (forall @t295 (=> @t715 (= @t716 @t118)))) % 41.55/41.75 (assume @p573 (forall @t127 (=> @t715 (= @t435 @t20)))) % 41.55/41.75 (assume @p574 (forall (@list @t54 @t717 @t718 @t178 @t41) (=> (tptp.class_Groups_Ominus @t41) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t720 @t718 @t717) @t54) (tptp.c_Groups_Ominus__class_Ominus @t41 @t719 (tptp.hAPP @t717 @t54)))))) % 41.55/41.75 (assume @p575 (forall @t321 (=> @t713 (= (= @t418 @t318) @t319)))) % 41.55/41.75 (assume @p576 (forall (@list @t54 @t718 @t178 @t41) (=> (tptp.class_Groups_Ouminus @t41) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t720 @t718) @t54) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t719))))) % 41.55/41.75 (assume @p577 (forall @t295 (=> @t713 (= (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t579) @t118)))) % 41.55/41.75 (assume @p578 (forall @t257 (=> @t701 (=> @t706 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t709))))) % 41.55/41.75 (assume @p579 (forall @t712 @t711)) % 41.55/41.75 (assume @p580 (forall @t295 (=> @t220 (and (=> @t723 (= @t721 @t43)) (=> (not @t723) (and (=> @t722 (= @t721 @t100)) (=> (not @t722) (= @t721 (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t100))))))))) % 41.55/41.75 (assume @p581 (forall (@list @t118 @t89 @t40 @t41) (=> @t415 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 (tptp.hAPP (tptp.hAPP @t181 (tptp.c_Polynomial_Omonom @t41 @t44 @t40)) @t89)) @t118) (tptp.hAPP (tptp.hAPP @t86 @t120) @t298))))) % 41.55/41.75 (assume @p582 (forall @t728 (=> @t727 (=> (forall @t6 (=> @t725 (tptp.hBOOL (tptp.hAPP @t363 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t589))))) (=> @t726 (forall @t6 (=> @t725 (tptp.hBOOL (tptp.hAPP @t363 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t724)))))))))) % 41.55/41.75 (assume @p583 (forall @t490 (=> @t220 (= (= @t729 @t72) @t159)))) % 41.55/41.75 (assume @p584 (forall @t101 (=> @t731 @t730))) % 41.55/41.75 (assume @p585 (forall @t388 (=> @t220 (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t168) (tptp.hAPP (tptp.hAPP @t86 @t732) (tptp.c_Groups_Osgn__class_Osgn @t41 @t79)))))) % 41.55/41.75 (assume @p586 (forall @t221 (=> (tptp.class_RealVector_Oreal__normed__div__algebra @t41) (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t223) (tptp.hAPP (tptp.hAPP @t86 @t733) (tptp.c_Groups_Osgn__class_Osgn @t41 @t115)))))) % 41.55/41.75 (assume @p587 (forall @t101 (=> @t734 @t730))) % 41.55/41.75 (assume @p588 (forall @t497 (=> @t734 (= (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t54) @t72) @t585)))) % 41.55/41.75 (assume @p589 (forall (@list @t55 @t102 @t145 @t41) (=> @t132 (= (= @t735 (tptp.c_Polynomial_Omonom @t41 @t55 @t102)) @t146)))) % 41.55/41.75 (assume @p590 (forall @t127 (=> @t220 (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t732) @t732)))) % 41.55/41.75 (assume @p591 (forall @t101 (=> (tptp.class_RealVector_Oreal__normed__algebra__1 @t41) (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t44) @t44)))) % 41.55/41.75 (assume @p592 (forall @t295 (=> @t734 (= (tptp.c_Groups_Osgn__class_Osgn @t41 @t579) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t733))))) % 41.55/41.75 (assume @p593 (forall @t490 (=> @t220 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t729) @t583)))) % 41.55/41.75 (assume @p594 (forall @t490 (=> @t220 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t729 @t72) @t488)))) % 41.55/41.75 (assume @p595 (forall @t171 (=> @t132 (= (tptp.c_Polynomial_Omonom @t41 @t72 @t40) @t43)))) % 41.55/41.75 (assume @p596 (forall @t166 (=> @t132 (= (= @t735 @t43) @t159)))) % 41.55/41.75 (assume @p597 (forall @t51 (=> @t132 (=> @t154 (= @t737 @t40))))) % 41.55/41.75 (assume @p598 (forall @t51 (=> @t132 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t737 @t40)))) % 41.55/41.75 (assume @p599 (forall @t51 (=> @t176 (= (tptp.c_Groups_Ouminus__class_Ouminus @t42 @t736) (tptp.c_Polynomial_Omonom @t41 @t148 @t40))))) % 41.55/41.75 (assume @p600 (forall @t203 (=> @t176 (= (tptp.c_Groups_Ominus__class_Ominus @t42 @t736 @t738) (tptp.c_Polynomial_Omonom @t41 @t173 @t40))))) % 41.55/41.75 (assume @p601 (forall @t490 (=> @t220 (= (= @t729 @t44) @t583)))) % 41.55/41.75 (assume @p602 (forall @t127 (=> @t220 (=> @t77 (= @t732 @t44))))) % 41.55/41.75 (assume @p603 (forall @t51 (=> @t132 (= (tptp.c_Polynomial_Omonom @t41 @t20 @t227) (tptp.c_Polynomial_OpCons @t41 @t72 @t736))))) % 41.55/41.75 (assume @p604 (forall (@list @t118 @t40 @t20 @t41) (=> @t49 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t736) @t118) (tptp.hAPP @t87 @t120))))) % 41.55/41.75 (assume @p605 (forall @t127 (=> @t132 (= (tptp.c_Polynomial_Omonom @t41 @t20 @t19) @t141)))) % 41.55/41.75 (assume @p606 (forall @t490 (=> @t220 (= (= @t729 @t205) @t488)))) % 41.55/41.75 (assume @p607 (forall @t127 (=> @t220 (=> @t481 (= @t732 @t205))))) % 41.55/41.75 (assume @p608 (forall @t295 (=> @t731 (and (=> @t740 (= @t733 @t72)) (=> (not @t740) (and (=> @t739 (= @t733 @t44)) (=> (not @t739) (= @t733 @t205)))))))) % 41.55/41.75 (assume @p609 (forall (@list @t143 @t145 @t41 @t651 @t2 @t178) (=> @t746 (=> @t745 (= @t743 (tptp.hAPP @t742 @t741)))))) % 41.55/41.75 (assume @p610 (forall (@list @t353 @t89 @t41) (=> @t183 (= (tptp.c_Polynomial_Odegree @t41 @t747) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t90 @t126))))) % 41.55/41.75 (assume @p611 (forall @t393 (=> @t183 (= (= (tptp.c_Polynomial_Osynthetic__div @t41 @t143 @t391) @t43) (= @t748 @t19))))) % 41.55/41.75 (assume @p612 (forall (@list @t353 @t41) (=> @t183 (= (tptp.c_Polynomial_Osynthetic__div @t41 @t43 @t353) @t43)))) % 41.55/41.75 (assume @p613 (forall (@list @t353 @t89 @t20 @t41) (=> @t183 (= (tptp.c_Polynomial_Osynthetic__div @t41 @t175 @t353) (tptp.c_Polynomial_OpCons @t41 @t749 @t747))))) % 41.55/41.75 (assume @p614 (forall (@list @t41 @t651 @t2 @t178) (=> @t746 (=> @t745 (= (tptp.c_Polynomial_Opoly__rec @t41 @t178 @t651 @t2 @t744) @t651))))) % 41.55/41.75 (assume @p615 (forall (@list @t143 @t145 @t2 @t651 @t41 @t178) (=> @t746 (= @t743 (tptp.hAPP @t742 (tptp.c_If @t41 (tptp.c_fequal @t143 @t744) @t651 @t741)))))) % 41.55/41.75 (assume @p616 (forall (@list @t110) (and (=> @t752 (= @t750 @t639)) (=> (not @t752) (and (=> @t751 (= @t750 @t655)) (=> (not @t751) (= @t750 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t655)))))))) % 41.55/41.75 (assume @p617 (forall (@list @t89 @t353 @t41) (=> @t415 (= (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.hAPP (tptp.hAPP @t181 (tptp.c_Polynomial_OpCons @t41 (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t353) @t45)) @t747) (tptp.c_Polynomial_OpCons @t41 @t749 @t43)) @t89)))) % 41.55/41.75 (assume @p618 (forall @t140 (=> @t132 (=> @t331 (=> @t755 (or @t92 @t328)))))) % 41.55/41.75 (assume @p619 (forall (@list @t756) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t757) (= @t757 (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t757 @t126)))))) % 41.55/41.75 (assume @p620 (forall @t490 (=> @t584 (= (= @t758 @t72) @t159)))) % 41.55/41.75 (assume @p621 (forall @t765 (=> @t764 (= (tptp.hAPP (tptp.hAPP @t760 (tptp.c_Groups_Oplus__class_Oplus @t178 @t20 @t79)) @t759) (tptp.c_Groups_Oplus__class_Oplus @t178 @t762 @t761))))) % 41.55/41.75 (assume @p622 (forall @t769 (=> @t764 (= (tptp.hAPP @t766 (tptp.c_Groups_Oplus__class_Oplus @t178 @t79 @t353)) (tptp.c_Groups_Oplus__class_Oplus @t178 @t768 @t767))))) % 41.55/41.75 (assume @p623 (forall (@list @t333 @t133 @t89 @t41) (=> @t183 (= (tptp.hAPP (tptp.hAPP @t181 @t771) @t333) (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.hAPP @t182 @t333) (tptp.hAPP @t770 @t333)))))) % 41.55/41.75 (assume @p624 (forall @t596 (=> @t773 (= (= @t55 @t772) @t159)))) % 41.55/41.75 (assume @p625 (forall @t127 (=> @t49 @t774))) % 41.55/41.75 (assume @p626 (forall @t127 (=> @t49 @t775))) % 41.55/41.75 (assume @p627 (forall (@list @t651 @t54 @t53 @t650 @t41) (=> @t773 (= (= (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t776 @t53) (tptp.hAPP @t495 @t651)) (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t776 @t651) (tptp.hAPP @t495 @t53))) (or (= @t650 @t54) (= @t53 @t651)))))) % 41.55/41.75 (assume @p628 (forall (@list @t79 @t63 @t20 @t41) (=> @t49 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t779 (tptp.hAPP @t403 @t63)) (tptp.hAPP @t778 @t63))))) % 41.55/41.75 (assume @p629 (forall @t357 (=> @t49 @t780))) % 41.55/41.75 (assume @p630 (forall @t593 (=> @t773 (= (and (not @t146) (not @t590)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t467 (tptp.hAPP @t402 @t589)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t781 @t466))))))) % 41.55/41.75 (assume @p631 (forall @t416 (=> @t49 (= (tptp.hAPP @t222 (tptp.c_Groups_Oplus__class_Oplus @t41 @t115 @t414)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t223 (tptp.hAPP @t222 @t414)))))) % 41.55/41.75 (assume @p632 (forall @t357 (=> (tptp.class_Rings_Ocomm__semiring @t41) @t780))) % 41.55/41.75 (assume @p633 (forall (@list @t353 @t79 @t782 @t20 @t41) (=> (tptp.class_Rings_Osemiring @t41) (= (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t87 @t782) (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t403 @t782) @t353)) (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t778 @t782) @t353))))) % 41.55/41.75 (assume @p634 (forall @t137 (=> @t220 (=> @t681 (=> @t680 (tptp.c_Polynomial_Opos__poly @t41 @t771)))))) % 41.55/41.75 (assume @p635 (forall @t700 (=> @t644 (= (tptp.hAPP @t87 (tptp.c_Groups_Oplus__class_Oplus @t41 @t79 @t698)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t168 @t699))))) % 41.55/41.75 (assume @p636 (forall @t697 (=> @t644 (= (tptp.hAPP @t694 @t783) (tptp.c_Groups_Oplus__class_Oplus @t41 @t696 @t695))))) % 41.55/41.75 (assume @p637 (forall @t692 (=> @t644 (= (tptp.hAPP (tptp.hAPP @t86 (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 @t690)) @t79) (tptp.c_Groups_Oplus__class_Oplus @t41 @t168 @t691))))) % 41.55/41.75 (assume @p638 (forall @t689 (=> @t644 (= (tptp.hAPP (tptp.hAPP @t86 @t783) @t684) (tptp.c_Groups_Oplus__class_Oplus @t41 @t686 @t685))))) % 41.55/41.75 (assume @p639 (forall @t185 (=> @t784 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t43 @t133) @t133)))) % 41.55/41.75 (assume @p640 (forall @t184 (=> @t784 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t89 @t43) @t89)))) % 41.55/41.75 (assume @p641 (forall @t127 (=> @t784 @t774))) % 41.55/41.75 (assume @p642 (forall @t127 (=> @t785 @t774))) % 41.55/41.75 (assume @p643 (forall @t490 (=> @t584 (= (= @t72 @t758) @t159)))) % 41.55/41.75 (assume @p644 (forall @t127 (=> @t784 @t775))) % 41.55/41.75 (assume @p645 (forall @t127 (=> @t785 @t775))) % 41.55/41.75 (assume @p646 (forall @t357 (=> @t49 (=> @t356 (=> @t354 (tptp.c_Rings_Odvd__class_Odvd @t41 @t20 @t786)))))) % 41.55/41.75 (assume @p647 (forall @t357 (=> (tptp.class_Groups_Oab__semigroup__add @t41) @t788))) % 41.55/41.75 (assume @p648 (forall @t793 (=> @t792 (= (= @t791 @t790) @t789)))) % 41.55/41.75 (assume @p649 (forall (@list @t391 @t145 @t55 @t41) (=> @t792 (= (= @t772 @t794) @t789)))) % 41.55/41.75 (assume @p650 (forall @t357 (=> @t792 @t796))) % 41.55/41.75 (assume @p651 (forall @t357 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t41) @t796))) % 41.55/41.75 (assume @p652 (forall @t458 (=> @t792 (=> (= @t798 @t797) @t534)))) % 41.55/41.75 (assume @p653 (forall @t177 (=> @t784 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t175 @t174) (tptp.c_Polynomial_OpCons @t41 @t777 @t771))))) % 41.55/41.75 (assume @p654 (forall @t300 (=> @t183 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t771) @t118) (tptp.c_Groups_Oplus__class_Oplus @t41 @t298 @t296))))) % 41.55/41.75 (assume @p655 (forall @t248 (=> @t132 (= @t144 (forall @t801 (= (tptp.hAPP @t800 @t799) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t142) @t799))))))) % 41.55/41.75 (assume @p656 (forall @t321 (=> @t132 (= (= (tptp.c_Polynomial_Ocoeff @t41 @t54) (tptp.c_Polynomial_Ocoeff @t41 @t53)) @t319)))) % 41.55/41.75 (assume @p657 (forall @t804 (=> @t784 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t771) @t40) (tptp.c_Groups_Oplus__class_Oplus @t41 @t754 @t803))))) % 41.55/41.75 (assume @p658 (forall (@list @t353 @t20 @t41) (=> @t49 (= @t795 @t797)))) % 41.55/41.75 (assume @p659 (forall @t807 (=> @t49 (= @t806 (tptp.c_Groups_Oplus__class_Oplus @t41 @t353 (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 @t408)))))) % 41.55/41.75 (assume @p660 (forall @t807 (=> @t49 (= @t806 (tptp.c_Groups_Oplus__class_Oplus @t41 @t795 @t408))))) % 41.55/41.75 (assume @p661 (forall @t357 (=> @t49 @t788))) % 41.55/41.75 (assume @p662 (forall @t357 (=> @t49 (= @t787 (tptp.c_Groups_Oplus__class_Oplus @t41 @t795 @t79))))) % 41.55/41.75 (assume @p663 (forall @t411 (=> @t49 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t777 @t805) (tptp.c_Groups_Oplus__class_Oplus @t41 @t795 @t808))))) % 41.55/41.75 (assume @p664 (forall @t815 (=> @t814 (= @t813 @t811)))) % 41.55/41.75 (assume @p665 (forall (@list @t54 @t650 @t41) (=> @t817 (= (= @t816 @t54) (= @t54 @t816))))) % 41.55/41.75 (assume @p666 (forall @t815 (=> @t814 (= @t811 @t813)))) % 41.55/41.75 (assume @p667 (forall @t321 (=> (and @t814 @t246) (= (= @t819 @t818) @t319)))) % 41.55/41.75 (assume @p668 (forall @t820 (=> @t814 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t810 (tptp.c_Groups_Oplus__class_Oplus @t41 @t809 @t414)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t813 @t414))))) % 41.55/41.75 (assume @p669 (forall @t468 (=> @t822 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t790 @t821) @t463)))) % 41.55/41.75 (assume @p670 (forall @t473 (=> @t822 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t794 @t823) @t463)))) % 41.55/41.75 (assume @p671 (forall @t357 (=> @t825 (=> @t84 @t824)))) % 41.55/41.75 (assume @p672 (forall @t357 (=> @t825 (=> @t84 @t827)))) % 41.55/41.75 (assume @p673 (forall @t411 (=> @t825 (=> @t84 @t829)))) % 41.55/41.75 (assume @p674 (forall @t407 (=> @t822 (=> @t824 @t84)))) % 41.55/41.75 (assume @p675 (forall @t510 (=> @t822 (=> @t827 @t84)))) % 41.55/41.75 (assume @p676 (forall @t468 (=> @t822 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t790 @t821) @t501)))) % 41.55/41.75 (assume @p677 (forall @t473 (=> @t822 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t794 @t823) @t501)))) % 41.55/41.75 (assume @p678 (forall @t357 (=> @t831 (=> @t186 @t830)))) % 41.55/41.75 (assume @p679 (forall @t357 (=> @t831 (=> @t186 @t832)))) % 41.55/41.75 (assume @p680 (forall @t411 (=> @t831 (=> @t186 (=> @t460 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t795 @t808)))))) % 41.55/41.75 (assume @p681 (forall @t407 (=> @t822 (=> @t830 @t186)))) % 41.55/41.75 (assume @p682 (forall @t510 (=> @t822 (=> @t832 @t186)))) % 41.55/41.75 (assume @p683 (forall (@list @t645 @t353 @t756 @t41) (=> @t814 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t810 (tptp.c_Groups_Ominus__class_Ominus @t41 @t353 @t809)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t835 @t353))))) % 41.55/41.75 (assume @p684 (forall @t388 (=> @t176 (= @t836 (tptp.c_Groups_Oplus__class_Oplus @t41 @t148 @t394))))) % 41.55/41.75 (assume @p685 (forall @t388 (=> @t581 (= @t836 (tptp.c_Groups_Oplus__class_Oplus @t41 @t394 @t148))))) % 41.55/41.75 (assume @p686 (forall @t388 (=> @t581 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 (tptp.c_Groups_Oplus__class_Oplus @t41 @t148 @t79)) @t79)))) % 41.55/41.75 (assume @p687 (forall @t388 (=> @t581 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t148 @t777) @t79)))) % 41.55/41.75 (assume @p688 (forall @t203 (=> @t784 (= (tptp.c_Groups_Oplus__class_Oplus @t42 @t736 @t738) (tptp.c_Polynomial_Omonom @t41 @t777 @t40))))) % 41.55/41.75 (assume @p689 (forall @t388 (=> @t581 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t173 @t79) @t20)))) % 41.55/41.75 (assume @p690 (forall @t388 (=> @t581 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t777 @t79) @t20)))) % 41.55/41.75 (assume @p691 (forall (@list @t353 @t645 @t756 @t41) (=> @t814 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t810 (tptp.c_Groups_Ominus__class_Ominus @t41 @t809 @t353)) (tptp.c_Groups_Ominus__class_Ominus @t41 @t813 @t353))))) % 41.55/41.75 (assume @p692 (forall (@list @t650 @t837 @t41) (=> (and @t817 @t612) (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t838 @t816) (not (tptp.c_Orderings_Oord__class_Oless @t41 @t816 @t838)))))) % 41.55/41.75 (assume @p693 (forall @t765 (=> @t839 (= (tptp.hAPP (tptp.hAPP @t760 (tptp.c_Groups_Ominus__class_Ominus @t178 @t20 @t79)) @t759) (tptp.c_Groups_Ominus__class_Ominus @t178 @t762 @t761))))) % 41.55/41.75 (assume @p694 (forall @t769 (=> @t839 (= (tptp.hAPP @t766 (tptp.c_Groups_Ominus__class_Ominus @t178 @t79 @t353)) (tptp.c_Groups_Ominus__class_Ominus @t178 @t768 @t767))))) % 41.55/41.75 (assume @p695 (forall @t321 (=> @t840 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t819 @t818) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t54 @t53))))) % 41.55/41.75 (assume @p696 (forall @t490 (=> @t584 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t758) @t440)))) % 41.55/41.75 (assume @p697 (forall @t490 (=> @t584 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t758 @t72) @t438)))) % 41.55/41.75 (assume @p698 (forall @t388 (=> @t841 (=> @t73 (=> @t202 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t777)))))) % 41.55/41.75 (assume @p699 (forall @t321 (=> @t841 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t54) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t53) (= @t844 @t843)))))) % 41.55/41.75 (assume @p700 (forall @t357 (=> @t841 (=> @t73 (=> @t619 @t845))))) % 41.55/41.75 (assume @p701 (forall @t846 (=> @t841 (=> @t449 (=> @t457 @t845))))) % 41.55/41.75 (assume @p702 (forall @t388 (=> @t841 (=> @t446 (=> @t445 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t777 @t72)))))) % 41.55/41.75 (assume @p703 (forall @t490 (=> @t220 @t847))) % 41.55/41.75 (assume @p704 (forall @t357 (=> @t61 (=> @t77 @t849)))) % 41.55/41.75 (assume @p705 (forall @t490 (=> @t584 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t758) @t583)))) % 41.55/41.75 (assume @p706 (forall @t490 (=> @t584 @t847))) % 41.55/41.75 (assume @p707 (forall @t388 (=> @t841 (=> @t77 @t851)))) % 41.55/41.75 (assume @p708 (forall @t388 (=> @t841 (=> @t481 @t853)))) % 41.55/41.75 (assume @p709 (forall @t321 (=> @t840 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t819 @t818) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t54 @t53))))) % 41.55/41.75 (assume @p710 (forall @t411 (=> @t825 (=> @t84 (=> @t460 @t828))))) % 41.55/41.75 (assume @p711 (forall @t411 (=> @t825 (=> @t186 @t829)))) % 41.55/41.75 (assume @p712 (forall (@list @t408 @t353 @t79 @t20 @t333 @t41) (=> @t773 (=> (not (= @t333 @t72)) (=> (and @t204 (not (= @t353 @t408))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 (tptp.hAPP @t854 @t353)) (tptp.c_Groups_Oplus__class_Oplus @t41 @t79 (tptp.hAPP @t854 @t408))))))))) % 41.55/41.75 (assume @p713 (forall @t321 (=> @t441 (= (= @t855 @t72) @t843)))) % 41.55/41.75 (assume @p714 (forall @t815 (=> @t814 (= @t859 @t857)))) % 41.55/41.75 (assume @p715 (forall @t815 (=> @t814 (= @t857 @t859)))) % 41.55/41.75 (assume @p716 (forall @t820 (=> @t814 (= (tptp.hAPP @t856 (tptp.hAPP (tptp.hAPP @t86 @t809) @t414)) (tptp.hAPP (tptp.hAPP @t86 @t859) @t414))))) % 41.55/41.75 (assume @p717 (forall @t127 (=> @t61 (tptp.c_Orderings_Oord__class_Oless @t41 @t20 @t860)))) % 41.55/41.75 (assume @p718 (forall @t321 (=> @t581 (= @t844 (= @t53 @t418))))) % 41.55/41.75 (assume @p719 (forall @t127 (=> @t581 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 @t148) @t72)))) % 41.55/41.75 (assume @p720 (forall @t384 (=> @t581 (= @t401 (= @t791 @t72))))) % 41.55/41.75 (assume @p721 (forall @t127 (=> @t581 @t861))) % 41.55/41.75 (assume @p722 (forall @t127 (=> @t176 @t861))) % 41.55/41.75 (assume @p723 (forall @t388 (=> @t581 (=> (= @t777 @t72) (= @t148 @t79))))) % 41.55/41.75 (assume @p724 (forall (@list @t63 @t41) (=> @t49 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t63 @t63) (tptp.hAPP (tptp.hAPP @t86 @t862) @t63))))) % 41.55/41.75 (assume @p725 (forall (@list @t20 @t63 @t41) (=> @t49 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t63 @t779) @t863)))) % 41.55/41.75 (assume @p726 (forall (@list @t63 @t20 @t41) (=> @t49 (= (tptp.c_Groups_Oplus__class_Oplus @t41 @t779 @t63) @t863)))) % 41.55/41.75 (assume @p727 (forall @t868 (=> @t397 (= @t867 (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t222 @t866) @t865))))) % 41.55/41.75 (assume @p728 (forall @t874 (=> @t397 (= @t873 (= @t391 @t870))))) % 41.55/41.75 (assume @p729 (forall @t874 (=> @t397 (= @t873 (= @t875 @t589))))) % 41.55/41.75 (assume @p730 (forall @t868 (=> @t644 (= @t867 (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.hAPP @t864 @t866) @t865) (tptp.hAPP @t87 @t866)))))) % 41.55/41.75 (assume @p731 (forall @t221 (=> @t415 (= @t687 (tptp.c_Groups_Oplus__class_Oplus @t41 @t118 @t714))))) % 41.55/41.75 (assume @p732 (forall @t388 (=> @t581 @t876))) % 41.55/41.75 (assume @p733 (forall @t388 (=> @t176 @t876))) % 41.55/41.75 (assume @p734 (forall @t388 (=> @t581 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t20 @t394) @t777)))) % 41.55/41.75 (assume @p735 (forall @t815 (=> @t814 (= (tptp.c_Int_Onumber__class_Onumber__of @t41 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t756 @t645)) @t877)))) % 41.55/41.75 (assume @p736 (forall @t880 (=> @t814 (= @t879 @t878)))) % 41.55/41.75 (assume @p737 (forall @t880 (=> @t814 (= @t878 @t879)))) % 41.55/41.75 (assume @p738 (forall @t171 (=> @t132 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t43) @t40) @t72)))) % 41.55/41.75 (assume @p739 (forall @t151 (=> @t132 (= (tptp.hAPP @t881 @t19) @t20)))) % 41.55/41.75 (assume @p740 (forall (@list @t40 @t89 @t20 @t41) (=> @t132 (= (tptp.hAPP @t881 @t227) @t754)))) % 41.55/41.75 (assume @p741 (forall @t329 (=> @t784 (=> @t328 (=> @t327 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t882 @t40)))))) % 41.55/41.75 (assume @p742 (forall @t137 (=> @t784 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t90 @t134) (= @t882 @t134))))) % 41.55/41.75 (assume @p743 (forall (@list @t89 @t133 @t41) (=> @t784 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t134 @t90) (= @t882 @t90))))) % 41.55/41.75 (assume @p744 (forall @t329 (=> @t784 (=> @t331 (=> @t330 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t882 @t40)))))) % 41.55/41.75 (assume @p745 (forall @t130 (=> @t132 (and (=> @t273 (= @t884 @t20)) (=> @t360 (= @t884 @t72)))))) % 41.55/41.75 (assume @p746 (forall @t140 (=> @t176 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t180) @t40) (tptp.c_Groups_Ouminus__class_Ouminus @t41 @t754))))) % 41.55/41.75 (assume @p747 (forall @t137 (=> @t94 (=> (= @t886 @t885) (=> @t136 (=> (tptp.c_Rings_Odvd__class_Odvd @t42 @t133 @t89) (= @t89 @t133))))))) % 41.55/41.75 (assume @p748 (forall @t804 (=> @t176 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t172) @t40) (tptp.c_Groups_Ominus__class_Ominus @t41 @t754 @t803))))) % 41.55/41.75 (assume @p749 (forall @t388 (=> @t841 (=> @t77 (=> @t202 @t850))))) % 41.55/41.75 (assume @p750 (forall @t388 (=> @t841 (=> @t73 @t851)))) % 41.55/41.75 (assume @p751 (forall @t357 (=> @t841 (=> @t77 (=> @t619 @t848))))) % 41.55/41.75 (assume @p752 (forall @t357 (=> @t841 (=> @t73 @t849)))) % 41.55/41.75 (assume @p753 (forall @t388 (=> @t841 (=> @t481 (=> @t445 @t852))))) % 41.55/41.75 (assume @p754 (forall @t388 (=> @t841 (=> @t446 @t853)))) % 41.55/41.75 (assume @p755 (forall @t221 (=> @t436 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t72 @t887)))) % 41.55/41.75 (assume @p756 (forall @t321 (=> @t441 (= (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t855 @t72) @t843)))) % 41.55/41.75 (assume @p757 (forall @t221 (=> @t436 (not (tptp.c_Orderings_Oord__class_Oless @t41 @t887 @t72))))) % 41.55/41.75 (assume @p758 (forall @t321 (=> @t441 (= (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t855) (or (not @t585) (not @t842)))))) % 41.55/41.75 (assume @p759 (forall @t101 (=> @t61 (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t862)))) % 41.55/41.75 (assume @p760 (forall @t874 (=> @t447 (= @t888 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t391 @t870))))) % 41.55/41.75 (assume @p761 (forall @t874 (=> @t447 (= @t888 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t875 @t589))))) % 41.55/41.75 (assume @p762 (forall @t874 (=> @t447 (= @t889 (tptp.c_Orderings_Oord__class_Oless @t41 @t391 @t870))))) % 41.55/41.75 (assume @p763 (forall @t874 (=> @t447 (= @t889 (tptp.c_Orderings_Oord__class_Oless @t41 @t875 @t589))))) % 41.55/41.75 (assume @p764 (forall (@list @t675 @t363 @t41) (=> (and @t412 @t191) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t363 (tptp.hAPP (tptp.hAPP @t86 @t675) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t41 @t675 (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t72)) @t725)))))) % 41.55/41.75 (assume @p765 (forall @t295 (=> @t206 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t716 @t44) (tptp.hAPP (tptp.hAPP @t86 (tptp.c_Groups_Oplus__class_Oplus @t41 @t118 @t44)) (tptp.c_Groups_Ominus__class_Ominus @t41 @t118 @t44)))))) % 41.55/41.75 (assume @p766 (forall (@list @t414 @t645 @t41) (=> @t814 (= (tptp.hAPP (tptp.hAPP @t86 @t879) @t414) (tptp.hAPP (tptp.hAPP @t86 @t878) @t414))))) % 41.55/41.75 (assume @p767 (forall (@list @t702 @t890 @t589 @t41) (=> (and @t299 @t412) (=> (tptp.c_Rings_Odvd__class_Odvd @t41 @t589 @t890) (forall (@list @t3 @t891) (= (tptp.c_Rings_Odvd__class_Odvd @t41 @t589 (tptp.c_Groups_Oplus__class_Oplus @t41 @t3 @t702)) (tptp.c_Rings_Odvd__class_Odvd @t41 @t589 (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Groups_Ominus__class_Ominus @t41 @t3 (tptp.hAPP (tptp.hAPP @t86 @t891) @t890)) @t702)))))))) % 41.55/41.75 (assume @p768 (forall (@list @t650 @t145 @t41) (=> @t165 (= (= (tptp.hAPP @t160 @t892) @t72) (and @t159 (not @t893)))))) % 41.55/41.75 (assume @p769 (forall @t140 (=> @t132 (=> @t328 @t755)))) % 41.55/41.75 (assume @p770 (forall @t140 (=> @t132 (=> (not @t755) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t40 @t90))))) % 41.55/41.75 (assume @p771 (forall @t302 (=> @t132 (= (= @t894 @t72) @t196)))) % 41.55/41.75 (assume @p772 (forall @t184 (=> @t132 (=> @t93 (not (= @t886 @t72)))))) % 41.55/41.75 (assume @p773 (forall (@list @t118 @t89 @t20 @t41) (=> @t183 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t41 @t175) @t118) (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 (tptp.hAPP @t222 @t298)))))) % 41.55/41.75 (assume @p774 (forall (@list @t650 @t54) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 (tptp.hAPP @t106 @t892)) (or @t893 @t104)))) % 41.55/41.75 (assume @p775 (forall @t900 (=> (tptp.class_Rings_Olinordered__semiring__1 @t41) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t118 @t20) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t115 @t20) (=> @t899 (=> @t898 (=> @t897 (tptp.c_Orderings_Oord__class_Oless__eq @t41 @t896 @t20))))))))) % 41.55/41.75 (assume @p776 (forall @t880 (=> @t192 (and (=> @t903 (= @t902 @t44)) (=> (not @t903) (= @t902 @t72)))))) % 41.55/41.75 (assume @p777 (forall @t171 (=> @t49 (and (=> @t189 (= @t904 @t44)) (=> @t190 (= @t904 @t72)))))) % 41.55/41.75 (assume @p778 (forall @t302 (=> @t220 (= @t643 (tptp.c_Orderings_Oord__class_Oless @t41 @t72 @t894))))) % 41.55/41.75 (assume @p779 (forall @t51 (=> @t49 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t47) @t40) @t44)))) % 41.55/41.75 (assume @p780 (forall @t900 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t41) (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t118 @t20) (=> (tptp.c_Orderings_Oord__class_Oless @t41 @t115 @t20) (=> @t899 (=> @t898 (=> @t897 (tptp.c_Orderings_Oord__class_Oless @t41 @t896 @t20))))))))) % 41.55/41.75 (assume @p781 (forall (@list @t133 @t89 @t20 @t41) (=> @t183 (= (tptp.c_Polynomial_Opcompose @t41 @t175 @t133) (tptp.c_Groups_Oplus__class_Oplus @t42 @t141 (tptp.hAPP @t770 @t602)))))) % 41.55/41.75 (assume @p782 (forall @t221 (=> @t415 (= (tptp.c_Groups_Ominus__class_Ominus @t41 (tptp.hAPP @t119 @t320) (tptp.hAPP @t116 @t320)) (tptp.hAPP @t688 @t783))))) % 41.55/41.75 (assume @p783 (forall (@list @t905 @t142 @t53 @t54 @t41) (=> @t909 (= (tptp.c_Polynomial_Opdivmod__rel @t41 @t54 @t53 @t142 @t905) (and (= @t54 (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.hAPP (tptp.hAPP @t181 @t142) @t53) @t905)) (=> @t907 @t908) (=> (not @t907) (or @t906 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Polynomial_Odegree @t41 @t905) (tptp.c_Polynomial_Odegree @t41 @t53))))))))) % 41.55/41.75 (assume @p784 (forall (@list @t408 @t79 @t353 @t20 @t41) (=> @t176 (= (tptp.c_Groups_Ominus__class_Ominus @t41 @t795 @t808) (tptp.c_Groups_Oplus__class_Oplus @t41 @t173 (tptp.c_Groups_Ominus__class_Ominus @t41 @t353 @t408)))))) % 41.55/41.75 (assume @p785 (forall (@list @t89 @t40 @t41) (=> @t132 (=> (forall @t911 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40 @t910) (= (tptp.hAPP @t753 @t910) @t72))) @t331)))) % 41.55/41.75 (assume @p786 (forall @t663 (= (tptp.hAPP (tptp.hAPP @t640 @t912) @t645) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t661 @t658)))) % 41.55/41.75 (assume @p787 (forall @t915 (= (tptp.hAPP (tptp.hAPP @t640 @t914) @t913) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t858)))) % 41.55/41.75 (assume @p788 (forall @t672 (= (tptp.hAPP @t669 @t912) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t671 @t670)))) % 41.55/41.75 (assume @p789 (forall @t678 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t414 @t639) @t414))) % 41.55/41.75 (assume @p790 (forall @t678 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t639 @t414) @t414))) % 41.55/41.75 (assume @p791 (forall @t230 (=> (= @t916 @t63) @t189))) % 41.55/41.75 (assume @p792 (forall @t240 (= (= @t917 @t19) (and @t294 @t103)))) % 41.55/41.75 (assume @p793 (forall @t260 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t63 @t19) @t63))) % 41.55/41.75 (assume @p794 (forall @t211 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t19 @t40) @t40))) % 41.55/41.75 (assume @p795 (forall @t292 (= (tptp.hAPP @t305 @t916) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t307 @t306)))) % 41.55/41.75 (assume @p796 (forall @t250 (= (tptp.hAPP (tptp.hAPP @t122 @t916) @t224) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t378 @t249)))) % 41.55/41.75 (assume @p797 (forall (@list @t224 @t279 @t895 @t110) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t920 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t919 @t224)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 @t918) @t895) @t224)))) % 41.55/41.75 (assume @p798 (forall (@list @t102 @t251) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t251 @t921) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t251 @t102)))) % 41.55/41.75 (assume @p799 (forall @t230 (= @t923 @t922))) % 41.55/41.75 (assume @p800 (forall @t230 (= @t924 @t922))) % 41.55/41.75 (assume @p801 (forall @t230 (= @t924 @t923))) % 41.55/41.75 (assume @p802 (forall @t649 (= @t926 @t925))) % 41.55/41.75 (assume @p803 (forall @t537 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t118 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t115 @t414)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t115 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t118 @t414))))) % 41.55/41.75 (assume @p804 (forall @t915 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t914 @t913) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t812)))) % 41.55/41.75 (assume @p805 (forall @t665 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t912 @t664) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t659 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t656 @t664))))) % 41.55/41.75 (assume @p806 (forall @t929 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 @t414) @t928))) % 41.55/41.75 (assume @p807 (forall @t537 (=> @t359 @t928))) % 41.55/41.75 (assume @p808 (forall @t929 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t414) @t930))) % 41.55/41.75 (assume @p809 (forall @t537 (=> @t642 @t930))) % 41.55/41.75 (assume @p810 (forall @t933 (=> @t932 (not (=> @t64 (not @t323)))))) % 41.55/41.75 (assume @p811 (forall @t933 (=> @t932 @t64))) % 41.55/41.75 (assume @p812 (forall @t933 (=> @t932 @t323))) % 41.55/41.75 (assume @p813 (forall @t375 (=> @t365 (=> @t374 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t935 @t934))))) % 41.55/41.75 (assume @p814 (forall @t282 (=> @t365 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t935 @t936)))) % 41.55/41.75 (assume @p815 (forall @t938 (=> @t365 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t110 @t937)))) % 41.55/41.75 (assume @p816 (forall @t938 (=> @t365 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t110 @t939)))) % 41.55/41.75 (assume @p817 (forall @t255 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t941 @t940) @t285))) % 41.55/41.75 (assume @p818 (forall @t240 (= @t285 (exists @t943 (= @t102 @t942))))) % 41.55/41.75 (assume @p819 (forall @t275 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t40 @t944))) % 41.55/41.75 (assume @p820 (forall @t275 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t40 @t916))) % 41.55/41.75 (assume @p821 (forall @t282 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t918 @t224) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t110 @t224)))) % 41.55/41.75 (assume @p822 (forall (@list @t40 @t63 @t373 @t224) (=> @t946 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t63 @t373) @t945) @t109)))) % 41.55/41.75 (assume @p823 (forall @t375 (=> @t281 (=> @t946 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t935 @t934))))) % 41.55/41.75 (assume @p824 (forall @t282 (=> @t281 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t935 @t936)))) % 41.55/41.75 (assume @p825 (forall @t938 (=> @t281 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t110 @t937)))) % 41.55/41.75 (assume @p826 (forall @t938 (=> @t281 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t110 @t939)))) % 41.55/41.75 (assume @p827 (forall @t255 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t941 @t940) @t266))) % 41.55/41.75 (assume @p828 (forall (@list @t110 @t279) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t947 @t110)))) % 41.55/41.75 (assume @p829 (forall (@list @t279 @t110) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t918 @t110)))) % 41.55/41.75 (assume @p830 (forall @t282 (=> @t652 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t224 @t110) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t224 @t279))))) % 41.55/41.75 (assume @p831 (forall @t282 (=> @t654 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t110 @t224) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t279 @t224))))) % 41.55/41.75 (assume @p832 (forall @t677 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t949 @t948) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t251 @t675)))) % 41.55/41.75 (assume @p833 (forall @t677 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t949 @t948) @t676))) % 41.55/41.75 (assume @p834 (forall @t915 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t914 @t913) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t834)))) % 41.55/41.75 (assume @p835 (forall @t649 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t926) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t668 @t833)))) % 41.55/41.75 (assume @p836 (forall @t646 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t913) (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t833)))) % 41.55/41.75 (assume @p837 (forall @t933 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t931 @t950) @t288))) % 41.55/41.75 (assume @p838 (forall @t292 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t951 @t945) @t288))) % 41.55/41.75 (assume @p839 (forall @t282 (= @t377 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t110 @t936)))) % 41.55/41.75 (assume @p840 @t953) % 41.55/41.75 (assume @p841 (forall @t230 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t916 @t40) @t63))) % 41.55/41.75 (assume @p842 (forall @t962 (=> @t909 (=> @t961 (=> @t960 (and @t959 @t956)))))) % 41.55/41.75 (assume @p843 (forall @t962 (=> @t909 (=> @t961 (=> @t960 @t956))))) % 41.55/41.75 (assume @p844 (forall @t962 (=> @t909 (=> @t961 (=> @t960 @t959))))) % 41.55/41.75 (assume @p845 (forall (@list @t905 @t142 @t53 @t41) (=> @t909 (= (tptp.c_Polynomial_Opdivmod__rel @t41 @t43 @t53 @t142 @t905) (and @t908 @t906))))) % 41.55/41.75 (assume @p846 (forall (@list @t905 @t142 @t54 @t41) (=> @t909 (= (tptp.c_Polynomial_Opdivmod__rel @t41 @t54 @t43 @t142 @t905) (and @t908 (= @t905 @t54)))))) % 41.55/41.75 (assume @p847 (forall @t683 (=> @t909 (tptp.c_Polynomial_Opdivmod__rel @t41 @t43 @t115 @t43 @t43)))) % 41.55/41.75 (assume @p848 (forall @t295 (=> @t909 (tptp.c_Polynomial_Opdivmod__rel @t41 @t118 @t43 @t43 @t118)))) % 41.55/41.75 (assume @p849 @t964) % 41.55/41.75 (assume @p850 @t966) % 41.55/41.75 (assume @p851 (forall @t240 (= (= @t917 @t225) @t967))) % 41.55/41.75 (assume @p852 (forall @t240 (= (= @t225 @t917) @t967))) % 41.55/41.75 (assume @p853 (forall @t240 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t19 @t917) (or @t311 @t317)))) % 41.55/41.75 (assume @p854 (forall @t257 (=> @t701 (=> @t706 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t118 @t115)))))) % 41.55/41.75 (assume @p855 (forall @t240 (= @t266 (exists @t943 (= @t102 (tptp.c_Nat_OSuc @t942)))))) % 41.55/41.75 (assume @p856 (forall @t968 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t110 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t63 @t110))))) % 41.55/41.75 (assume @p857 (forall @t968 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t110 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t110 @t63))))) % 41.55/41.75 (assume @p858 (forall @t678 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t969 @t414) @t639)))) % 41.55/41.75 (assume @p859 (forall (@list @t414 @t970 @t645 @t971) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t971 @t645) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t970 @t414) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t971 @t970) @t925))))) % 41.55/41.75 (assume @p860 (forall @t275 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t40 @t944) @t19))) % 41.55/41.75 (assume @p861 (forall @t230 (= (tptp.hAPP (tptp.hAPP @t122 @t228) @t40) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t40 @t124)))) % 41.55/41.75 (assume @p862 (forall @t230 (= (tptp.hAPP @t123 @t227) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t63 @t124)))) % 41.55/41.75 (assume @p863 (forall @t674 (= @t972 (or @t673 (= @t650 @t651))))) % 41.55/41.75 (assume @p864 (forall @t230 (=> @t283 @t974))) % 41.55/41.75 (assume @p865 (forall @t979 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t976 @t978) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t977 @t975)))) % 41.55/41.75 (assume @p866 (forall @t211 (= @t227 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t40 @t126)))) % 41.55/41.75 (assume @p867 (forall @t211 (= @t227 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t126 @t40)))) % 41.55/41.75 (assume @p868 (forall @t984 (=> @t983 (= @t982 @t981)))) % 41.55/41.75 (assume @p869 (forall @t984 (=> @t983 (= @t981 @t982)))) % 41.55/41.75 (assume @p870 (forall @t984 (=> @t983 (= @t986 @t985)))) % 41.55/41.75 (assume @p871 (forall @t979 (=> @t988 (= (= @t987 @t251) (= @t975 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t251 @t976)))))) % 41.55/41.75 (assume @p872 @t991) % 41.55/41.75 (assume @p873 (forall (@list @t976 @t975 @t251) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t251 @t975) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t976 @t978) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t977 @t975))))) % 41.55/41.75 (assume @p874 (forall @t984 (=> @t983 (= @t985 @t986)))) % 41.55/41.75 (assume @p875 @t993) % 41.55/41.75 (assume @p876 (forall (@list @t63 @t40 @t224) (=> @t323 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t63 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t944 @t224))))) % 41.55/41.75 (assume @p877 (forall (@list @t976 @t251 @t975) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t978 @t976) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t975 @t977)))) % 41.55/41.75 (assume @p878 (forall @t984 (=> @t983 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t110 @t980) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t935 @t279))))) % 41.55/41.75 (assume @p879 (forall @t678 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t668 @t414) @t639))) % 41.55/41.75 (assume @p880 (forall (@list @t391 @t702 @t54 @t589 @t145) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t145 @t589) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t145 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t54 @t702)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t145 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t54 (tptp.hAPP (tptp.hAPP @t640 @t391) @t589)) @t702)))))) % 41.55/41.75 (assume @p881 (forall (@list @t194 @t102 @t251) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t251 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t102 @t704)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t251 @t102)))) % 41.55/41.75 (assume @p882 (forall @t649 (= @t995 @t994))) % 41.55/41.75 (assume @p883 (forall @t649 (= @t994 @t995))) % 41.55/41.75 (assume @p884 (forall @t537 (= (tptp.hAPP @t600 @t927) (tptp.hAPP (tptp.hAPP @t640 @t601) (tptp.hAPP @t600 @t414))))) % 41.55/41.75 (assume @p885 (forall @t815 (=> @t814 (= @t877 @t835)))) % 41.55/41.75 (assume @p886 (forall @t1003 (= @t1002 (and (=> @t1001 @t1000) (forall @t999 (=> @t998 @t997)))))) % 41.55/41.75 (assume @p887 (forall @t1003 (= @t1002 (not (or (and @t1001 (not @t1000)) (exists @t999 (and @t998 (not @t997)))))))) % 41.55/41.75 (assume @p888 (forall @t679 (= (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 @t655 @t651) @t651) @t639) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t651 @t639)))) % 41.55/41.75 (assume @p889 (forall (@list @t414 @t645) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t645 @t414) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t645 @t655) @t414)))) % 41.55/41.75 (assume @p890 (forall @t674 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t650 @t655) @t651) @t673))) % 41.55/41.75 (assume @p891 (forall @t674 (= @t972 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t650 @t651)))) % 41.55/41.75 (assume @p892 (forall @t1006 (=> @t983 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1005 @t63) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1004 @t951))))) % 41.55/41.75 (assume @p893 (forall @t1006 (=> @t983 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t63 @t1005) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t931 @t1004))))) % 41.55/41.75 (assume @p894 (forall @t1013 (=> @t1012 (= @t1011 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1008 @t102))))) % 41.55/41.75 (assume @p895 (forall (@list @t40 @t63 @t895 @t110 @t279) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t279 @t110) (= @t1014 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 @t376) @t895) @t63) @t40))))) % 41.55/41.75 (assume @p896 (forall @t1013 (=> @t1012 (= @t1015 (= @t1008 @t102))))) % 41.55/41.75 (assume @p897 (forall @t1017 (=> @t988 (= @t1011 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t194 @t1016))))) % 41.55/41.75 (assume @p898 (forall (@list @t40 @t63 @t895 @t279 @t110) (=> @t365 (= @t1014 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t63 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t122 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t279 @t110)) @t895) @t40)))))) % 41.55/41.75 (assume @p899 (forall @t1017 (=> @t988 (= @t1015 (= @t194 @t1016))))) % 41.55/41.75 (assume @p900 (forall (@list @t1018 @t1020 @t414 @t333 @t133 @t115 @t118 @t41) (=> @t909 (=> (tptp.c_Polynomial_Opdivmod__rel @t41 @t118 @t115 @t133 @t333) (=> (tptp.c_Polynomial_Opdivmod__rel @t41 @t133 @t414 @t1020 @t1018) (tptp.c_Polynomial_Opdivmod__rel @t41 @t118 (tptp.hAPP @t1019 @t414) @t1020 (tptp.c_Groups_Oplus__class_Oplus @t42 (tptp.hAPP @t1019 @t1018) @t333))))))) % 41.55/41.75 (assume @p901 (forall @t137 (=> @t183 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1022 @t1021)))) % 41.55/41.75 (assume @p902 @t1027) % 41.55/41.75 (assume @p903 (forall (@list @t40 @t79 @t63 @t20 @t41) (=> @t183 (= (tptp.hAPP (tptp.hAPP @t181 @t883) @t738) (tptp.c_Polynomial_Omonom @t41 @t168 @t916))))) % 41.55/41.75 (assume @p904 (forall @t678 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t414) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t969)))) % 41.55/41.75 (assume @p905 (forall @t230 (and (=> @t342 (= @t916 @t40)) (=> @t516 (= @t916 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t512 @t40))))))) % 41.55/41.75 (assume @p906 (forall @t1013 (=> @t1012 (= @t1028 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1008 @t102))))) % 41.55/41.75 (assume @p907 (forall @t1017 (=> @t988 (= @t1028 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t194 @t1016))))) % 41.55/41.75 (assume @p908 (forall @t230 (and (=> @t342 (= @t124 @t19)) (=> @t516 (= @t124 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t40 (tptp.hAPP (tptp.hAPP @t122 @t512) @t40))))))) % 41.55/41.75 (assume @p909 (forall @t137 (=> @t183 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t41 @t332) @t1021) (tptp.hAPP (tptp.hAPP @t86 @t886) @t885))))) % 41.55/41.75 (assume @p910 (forall @t1032 (=> @t1031 (=> @t1030 (=> @t1029 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t133 @t655)))))) % 41.55/41.75 (assume @p911 (forall @t1032 (=> @t1031 (=> @t1030 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t333 @t20) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t655 @t133)))))) % 41.55/41.75 (assume @p912 (forall @t230 (= @t916 @t944))) % 41.55/41.75 (assume @p913 (forall @t537 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t927) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t115 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t414))))) % 41.55/41.75 (assume @p914 (forall @t250 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t916 @t224) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t63 @t950)))) % 41.55/41.75 (assume @p915 (forall @t255 (= (= @t941 @t940) @t195))) % 41.55/41.75 (assume @p916 (forall @t347 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t194 @t251) @t921) @t195))) % 41.55/41.75 (assume @p917 (forall @t226 (= (tptp.c_Int_Onumber__class_Onumber__of tptp.tc_Int_Oint @t224) @t224))) % 41.55/41.75 (assume @p918 (forall @t1043 (=> @t1042 (=> @t1039 (=> @t1037 (=> @t1036 (=> @t1035 (=> @t1034 @t1033)))))))) % 41.55/41.75 (assume @p919 (forall @t1046 (=> @t1045 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t333 @t639) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t79 @t333) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t79 @t1018) @t1044)))))) % 41.55/41.75 (assume @p920 (forall @t1043 (=> @t1042 (=> @t1048 (=> @t1047 (=> @t1029 (=> @t1035 (=> @t1034 @t1044)))))))) % 41.55/41.75 (assume @p921 (forall @t1046 (=> @t1045 (=> @t1036 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1018 @t79) (=> @t1037 @t1033)))))) % 41.55/41.75 (assume @p922 (forall @t1049 (=> @t1039 (=> @t1036 (=> @t1035 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1020 @t639)))))) % 41.55/41.75 (assume @p923 (forall @t1049 (=> @t1048 (=> @t1047 (=> @t1035 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t1020)))))) % 41.55/41.75 (assume @p924 (forall @t677 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t251 @t675) (exists @t801 (= @t675 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t251 @t799)))))) % 41.55/41.75 (assume @p925 (forall (@list @t224 @t63) (=> @t309 (=> @t653 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t1050 @t63) @t224) (tptp.hAPP @t1050 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t63 @t225))))))) % 41.55/41.75 (assume @p926 (forall (@list @t115 @t118 @t414 @t41) (=> @t1051 (=> (tptp.c_Rings_Odvd__class_Odvd @t41 @t414 @t118) (=> (tptp.c_Rings_Odvd__class_Odvd @t41 @t414 @t115) (= (tptp.c_Divides_Odiv__class_Odiv @t41 @t783 @t414) (tptp.c_Groups_Oplus__class_Oplus @t41 (tptp.c_Divides_Odiv__class_Odiv @t41 @t118 @t414) (tptp.c_Divides_Odiv__class_Odiv @t41 @t115 @t414)))))))) % 41.55/41.75 (assume @p927 (forall (@list @t251 @t976) (= (= @t1052 @t639) (or @t705 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t976) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t976 @t251)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t976 @t639) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t251 @t976)))))) % 41.55/41.75 (assume @p928 (forall @t1057 (=> @t1056 (= @t1055 @t1053)))) % 41.55/41.75 (assume @p929 (forall (@list @t976 @t251) (=> @t1058 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t1052) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t251 @t976))))) % 41.55/41.75 (assume @p930 (forall (@list @t55 @t145) (=> @t1053 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t1054) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t55 @t145) @t1056))))) % 41.55/41.75 (assume @p931 (forall @t1062 (=> @t1061 (=> @t1035 (=> @t1034 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1060 @t1059)))))) % 41.55/41.75 (assume @p932 (forall @t528 (=> @t1061 (=> @t1064 @t1063)))) % 41.55/41.75 (assume @p933 (forall @t528 (=> @t1061 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t20 @t79) @t1065)))) % 41.55/41.75 (assume @p934 (forall @t1057 (=> @t1066 (= @t1055 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t145 @t639))))) % 41.55/41.75 (assume @p935 (forall @t528 (=> @t1068 (=> @t1067 @t1063)))) % 41.55/41.75 (assume @p936 (forall @t1062 (=> @t1069 (=> @t1035 (=> @t1034 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1059 @t1060)))))) % 41.55/41.75 (assume @p937 (forall @t528 (=> @t1068 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t79 @t20) @t1065)))) % 41.55/41.75 (assume @p938 (forall @t1072 (=> @t1071 (=> @t1067 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1060 @t1070))))) % 41.55/41.75 (assume @p939 (forall @t1072 (=> @t1071 (=> @t1064 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1070 @t1060))))) % 41.55/41.75 (assume @p940 (forall (@list @t224 @t118) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t118) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t655 @t224) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t118 @t224) @t118))))) % 41.55/41.75 (assume @p941 (forall (@list @t79 @t20 @t353) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t353) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t20 (tptp.hAPP @t1040 @t353)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1060 @t353))))) % 41.55/41.75 (assume @p942 (forall @t458 (=> @t1051 (=> @t387 (= (tptp.c_Divides_Odiv__class_Odiv @t41 (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 @t452) @t79) @t1074))))) % 41.55/41.75 (assume @p943 (forall @t458 (=> @t1051 (=> @t387 (= (tptp.c_Divides_Odiv__class_Odiv @t41 (tptp.c_Groups_Oplus__class_Oplus @t41 @t20 @t405) @t79) @t1074))))) % 41.55/41.75 (assume @p944 (forall @t480 (=> @t1051 (=> @t387 (= (tptp.c_Divides_Odiv__class_Odiv @t41 @t777 @t79) @t1075))))) % 41.55/41.75 (assume @p945 (forall @t480 (=> @t1051 (=> @t387 (= (tptp.c_Divides_Odiv__class_Odiv @t41 @t798 @t79) @t1075))))) % 41.55/41.75 (assume @p946 (forall @t793 (=> @t1051 (=> @t1077 (=> @t491 (= (= @t1076 @t391) (= @t55 @t471))))))) % 41.55/41.75 (assume @p947 (forall (@list @t589 @t55 @t391 @t145 @t41) (=> @t1051 (=> @t1077 (=> (not @t492) (=> @t491 (=> (tptp.c_Rings_Odvd__class_Odvd @t41 @t391 @t589) (= (= @t1076 (tptp.c_Divides_Odiv__class_Odiv @t41 @t589 @t391)) (= @t466 @t781))))))))) % 41.55/41.75 (assume @p948 (forall @t510 (=> @t1051 (and (=> @t1079 (= @t1078 @t72)) @t1081)))) % 41.55/41.75 (assume @p949 (forall @t480 (=> @t1051 (=> @t387 (= (tptp.c_Divides_Odiv__class_Odiv @t41 @t168 @t79) @t20))))) % 41.55/41.75 (assume @p950 @t1085) % 41.55/41.75 (assume @p951 (forall @t510 (=> @t1051 (=> @t1080 (= (tptp.c_Divides_Odiv__class_Odiv @t41 @t410 @t405) @t1073))))) % 41.55/41.75 (assume @p952 (forall @t510 (=> @t1051 @t1081))) % 41.55/41.75 (assume @p953 (forall (@list @t79) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t639 @t79) @t639))) % 41.55/41.75 (assume @p954 (forall @t127 (=> @t1051 (= (tptp.c_Divides_Odiv__class_Odiv @t41 @t72 @t20) @t72)))) % 41.55/41.75 (assume @p955 (forall @t127 (=> @t1051 (= (tptp.c_Divides_Odiv__class_Odiv @t41 @t20 @t72) @t72)))) % 41.55/41.75 (assume @p956 (forall @t275 (=> @t637 (= (tptp.hAPP (tptp.hAPP @t640 @t40) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t63 @t40)) @t63)))) % 41.55/41.75 (assume @p957 (forall @t388 (=> @t1051 (=> @t356 (= (tptp.hAPP @t87 @t1086) @t79))))) % 41.55/41.75 (assume @p958 (forall @t846 (=> @t1051 (=> (tptp.c_Rings_Odvd__class_Odvd @t41 @t353 @t79) (= (tptp.hAPP @t87 (tptp.c_Divides_Odiv__class_Odiv @t41 @t79 @t353)) (tptp.c_Divides_Odiv__class_Odiv @t41 @t168 @t353)))))) % 41.55/41.75 (assume @p959 (forall @t388 (=> @t1051 (=> @t356 (= (tptp.hAPP @t1087 @t20) @t79))))) % 41.55/41.75 (assume @p960 (forall @t357 (=> @t1051 (=> @t356 (= (tptp.hAPP @t1087 @t353) (tptp.c_Divides_Odiv__class_Odiv @t41 @t405 @t20)))))) % 41.55/41.75 (assume @p961 (forall (@list @t645 @t414 @t118 @t115 @t41) (=> @t1051 (=> @t1089 (=> (tptp.c_Rings_Odvd__class_Odvd @t41 @t414 @t645) (= (tptp.hAPP (tptp.hAPP @t86 @t1088) (tptp.c_Divides_Odiv__class_Odiv @t41 @t645 @t414)) (tptp.c_Divides_Odiv__class_Odiv @t41 (tptp.hAPP @t222 @t645) (tptp.hAPP @t216 @t414)))))))) % 41.55/41.75 (assume @p962 (forall (@list @t40 @t118 @t115 @t41) (=> @t1051 (=> @t1089 (= (tptp.hAPP (tptp.hAPP @t56 @t1088) @t40) (tptp.c_Divides_Odiv__class_Odiv @t41 @t120 @t117)))))) % 41.55/41.75 (assume @p963 (forall @t793 (=> @t1051 (=> @t491 (=> (tptp.c_Rings_Odvd__class_Odvd @t41 @t145 @t391) (= (tptp.c_Rings_Odvd__class_Odvd @t41 @t1076 (tptp.c_Divides_Odiv__class_Odiv @t41 @t391 @t145)) (tptp.c_Rings_Odvd__class_Odvd @t41 @t55 @t391))))))) % 41.55/41.75 (assume @p964 (forall @t127 (=> @t1051 (= (tptp.c_Divides_Odiv__class_Odiv @t41 @t20 @t44) @t20)))) % 41.55/41.75 (assume @p965 (forall @t528 (=> @t1069 (=> @t1067 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1060 @t639))))) % 41.55/41.75 (assume @p966 (forall @t1057 (=> @t1066 (= @t1090 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t639 @t145))))) % 41.55/41.75 (assume @p967 (forall @t257 (=> @t701 (=> @t706 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t118 @t115)))))) % 41.55/41.75 (assume @p968 (forall @t1057 (=> @t1056 (= @t1090 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t145 @t639))))) % 41.55/41.75 (assume @p969 (forall @t21 (=> (not (= @t20 @t639)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t20 @t20) @t655)))) % 41.55/41.75 (assume @p970 (forall @t127 (=> @t1051 (=> @t154 (= (tptp.c_Divides_Odiv__class_Odiv @t41 @t20 @t20) @t44))))) % 41.55/41.75 (assume @p971 (forall @t623 (=> @t1092 (=> @t1089 (= (tptp.c_Divides_Odiv__class_Odiv @t41 @t118 @t714) @t1091))))) % 41.55/41.75 (assume @p972 (forall @t623 (=> @t1092 (=> @t1089 (= (tptp.c_Divides_Odiv__class_Odiv @t41 @t579 @t115) @t1091))))) % 41.55/41.75 (assume @p973 (forall @t528 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t20 @t1094) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1093 @t79)))) % 41.55/41.75 (assume @p974 (forall @t528 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1093 @t1094) @t1060))) % 41.55/41.75 (assume @p975 (forall (@list @t1097 @t115 @t1095 @t1096) (=> (= @t1096 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t640 @t1095) @t115) @t1097)) (=> (and (=> @t1098 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t1097) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1097 @t1095))) (=> (not @t1098) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1095 @t1097) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1097 @t639)))) (=> (not (= @t1095 @t639)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1096 @t1095) @t115)))))) % 41.55/41.75 (assume @p976 (forall (@list @t251 @t102 @t363) (= (tptp.hBOOL (tptp.hAPP @t363 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t102 @t251))) (and (=> @t705 (tptp.hBOOL (tptp.hAPP @t363 @t639))) (=> @t1058 (forall @t911 (=> (exists @t315 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t639 @t314) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t314 @t251) @t1100)) @t1099))) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t251 @t639) (forall @t911 (=> (exists @t315 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t251 @t314) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t314 @t639) @t1100)) @t1099))))))) % 41.55/41.75 (assume @p977 (forall (@list @t224 @t373) (and (=> @t1102 (= @t1101 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t224 @t373))) (=> (not @t1102) (= @t1101 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t224 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t373)))))))) % 41.55/41.75 (assume @p978 (forall @t728 (=> @t727 (=> (forall @t6 (=> @t725 (tptp.hBOOL (tptp.hAPP @t363 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t589))))) (=> @t726 (forall @t6 (=> @t725 (tptp.hBOOL (tptp.hAPP @t363 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t724)))))))))) % 41.55/41.75 (assume @p979 (forall @t250 (=> @t309 (=> @t64 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t224 @t40) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t224 @t63)))))) % 41.55/41.75 (assume @p980 (forall @t275 (=> @t83 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t124 @t40) @t63)))) % 41.55/41.75 (assume @p981 (forall @t1106 (=> @t1105 (tptp.class_Groups_Ocancel__comm__monoid__add @t1104)))) % 41.55/41.75 (assume @p982 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p983 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p984 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p985 (forall @t1109 (=> (tptp.class_Lattices_Oboolean__algebra @t1103) (tptp.class_Lattices_Oboolean__algebra @t1108)))) % 41.55/41.75 (assume @p986 (forall @t1109 (=> (tptp.class_Orderings_Opreorder @t1103) (tptp.class_Orderings_Opreorder @t1108)))) % 41.55/41.75 (assume @p987 (forall @t1109 (=> (tptp.class_Orderings_Oorder @t1103) (tptp.class_Orderings_Oorder @t1108)))) % 41.55/41.75 (assume @p988 (forall @t1109 (=> (tptp.class_Orderings_Oord @t1103) (tptp.class_Orderings_Oord @t1108)))) % 41.55/41.75 (assume @p989 (forall @t1109 (=> (tptp.class_Groups_Ouminus @t1103) (tptp.class_Groups_Ouminus @t1108)))) % 41.55/41.75 (assume @p990 (forall @t1109 (=> (tptp.class_Groups_Ominus @t1103) (tptp.class_Groups_Ominus @t1108)))) % 41.55/41.75 (assume @p991 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p992 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p993 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p994 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p995 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p996 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p997 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p998 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p999 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1000 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1001 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1002 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1003 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1004 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1005 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1006 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1007 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1008 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1009 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1010 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1011 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1012 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1013 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1014 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1015 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1016 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1017 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1018 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1019 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1020 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1021 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1022 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1023 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1024 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1025 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1026 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1027 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1028 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1029 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1030 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1031 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1032 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1033 (tptp.class_Divides_Oring__div tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1034 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1035 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1036 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1037 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1038 (tptp.class_Int_Onumber__ring tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1039 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1040 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1041 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1042 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1043 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1044 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1045 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1046 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1047 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1048 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1049 (tptp.class_Int_Onumber tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1050 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1051 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 41.55/41.75 (assume @p1052 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1053 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1054 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1055 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1056 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1057 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1058 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1059 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1060 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1061 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1062 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1063 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1064 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1065 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1066 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1067 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1068 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1069 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1070 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1071 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1072 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1073 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1074 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1075 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1076 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1077 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1078 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1079 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1080 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1081 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1082 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1083 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1084 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1085 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1086 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1087 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1088 (tptp.class_Int_Onumber tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1089 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1090 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 41.55/41.75 (assume @p1091 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 41.55/41.75 (assume @p1092 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 41.55/41.75 (assume @p1093 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 41.55/41.75 (assume @p1094 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 41.55/41.75 (assume @p1095 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 41.55/41.75 (assume @p1096 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 41.55/41.75 (assume @p1097 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1098 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1099 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1100 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1101 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1102 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1103 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1104 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1105 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1106 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1107 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1108 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1109 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1110 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1111 @t1110) % 41.55/41.75 (assume @p1112 @t1111) % 41.55/41.75 (assume @p1113 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1114 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1115 @t1112) % 41.55/41.75 (assume @p1116 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1117 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1118 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1119 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1120 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1121 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1122 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1123 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1124 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1125 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1126 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1127 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1128 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1129 @t1113) % 41.55/41.75 (assume @p1130 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1131 @t1114) % 41.55/41.75 (assume @p1132 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1133 @t1115) % 41.55/41.75 (assume @p1134 (tptp.class_Int_Onumber tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1135 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1136 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (assume @p1137 (forall @t1106 (=> @t1116 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1104)))) % 41.55/41.75 (assume @p1138 (forall @t1106 (=> @t1117 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1104)))) % 41.55/41.75 (assume @p1139 (forall @t1106 (=> @t1117 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1104)))) % 41.55/41.75 (assume @p1140 (forall @t1106 (=> @t1117 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1104)))) % 41.55/41.75 (assume @p1141 (forall @t1106 (=> @t1117 (tptp.class_Rings_Olinordered__semiring__1__strict @t1104)))) % 41.55/41.75 (assume @p1142 (forall @t1106 (=> @t1117 (tptp.class_Rings_Olinordered__semiring__strict @t1104)))) % 41.55/41.75 (assume @p1143 (forall @t1106 (=> @t1117 (tptp.class_Groups_Oordered__ab__semigroup__add @t1104)))) % 41.55/41.75 (assume @p1144 (forall @t1106 (=> @t1117 (tptp.class_Groups_Oordered__comm__monoid__add @t1104)))) % 41.55/41.75 (assume @p1145 (forall @t1106 (=> @t1117 (tptp.class_Groups_Olinordered__ab__group__add @t1104)))) % 41.55/41.75 (assume @p1146 (forall @t1106 (=> @t1105 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1104)))) % 41.55/41.75 (assume @p1147 @t1119) % 41.55/41.75 (assume @p1148 (forall @t1106 (=> @t1117 (tptp.class_Rings_Oordered__cancel__semiring @t1104)))) % 41.55/41.75 (assume @p1149 (forall @t1106 (=> @t1117 (tptp.class_Rings_Olinordered__ring__strict @t1104)))) % 41.55/41.75 (assume @p1150 (forall @t1106 (=> @t1116 (tptp.class_Rings_Oring__no__zero__divisors @t1104)))) % 41.55/41.75 (assume @p1151 (forall @t1106 (=> @t1117 (tptp.class_Rings_Oordered__comm__semiring @t1104)))) % 41.55/41.75 (assume @p1152 (forall @t1106 (=> @t1117 (tptp.class_Rings_Olinordered__semiring__1 @t1104)))) % 41.55/41.75 (assume @p1153 (forall @t1106 (=> @t1117 (tptp.class_Groups_Oordered__ab__group__add @t1104)))) % 41.55/41.75 (assume @p1154 (forall @t1106 (=> @t1105 (tptp.class_Groups_Ocancel__semigroup__add @t1104)))) % 41.55/41.75 (assume @p1155 (forall @t1106 (=> @t1117 (tptp.class_Rings_Olinordered__semiring @t1104)))) % 41.55/41.75 (assume @p1156 (forall @t1106 (=> @t1117 (tptp.class_Rings_Olinordered__semidom @t1104)))) % 41.55/41.75 (assume @p1157 @t1122) % 41.55/41.75 (assume @p1158 (forall @t1106 (=> @t1123 (tptp.class_Groups_Ocomm__monoid__mult @t1104)))) % 41.55/41.75 (assume @p1159 (forall @t1106 (=> @t1124 (tptp.class_Groups_Oab__semigroup__add @t1104)))) % 41.55/41.75 (assume @p1160 (forall @t1106 (=> @t1117 (tptp.class_Rings_Oordered__semiring @t1104)))) % 41.55/41.75 (assume @p1161 (forall @t1106 (=> @t1116 (tptp.class_Rings_Ono__zero__divisors @t1104)))) % 41.55/41.75 (assume @p1162 (forall @t1106 (=> @t1124 (tptp.class_Groups_Ocomm__monoid__add @t1104)))) % 41.55/41.75 (assume @p1163 (forall @t1106 (=> @t1117 (tptp.class_Rings_Olinordered__ring @t1104)))) % 41.55/41.75 (assume @p1164 (forall @t1106 (=> @t1117 (tptp.class_Rings_Olinordered__idom @t1104)))) % 41.55/41.75 (assume @p1165 @t1126) % 41.55/41.75 (assume @p1166 (forall @t1106 (=> @t1121 (tptp.class_Rings_Ocomm__semiring__0 @t1104)))) % 41.55/41.75 (assume @p1167 @t1129) % 41.55/41.75 (assume @p1168 (forall @t1106 (=> @t1121 (tptp.class_Rings_Ocomm__semiring @t1104)))) % 41.55/41.75 (assume @p1169 (forall @t1106 (=> @t1130 (tptp.class_Groups_Oab__group__add @t1104)))) % 41.55/41.75 (assume @p1170 (forall @t1106 (=> @t1123 (tptp.class_Rings_Ozero__neq__one @t1104)))) % 41.55/41.75 (assume @p1171 (forall @t1106 (=> @t1117 (tptp.class_Rings_Oordered__ring @t1104)))) % 41.55/41.75 (assume @p1172 (forall @t1106 (=> @t1117 (tptp.class_Orderings_Opreorder @t1104)))) % 41.55/41.75 (assume @p1173 (forall @t1106 (=> @t1117 (tptp.class_Orderings_Olinorder @t1104)))) % 41.55/41.75 (assume @p1174 @t1132) % 41.55/41.75 (assume @p1175 (forall @t1106 (=> @t1133 (tptp.class_Rings_Ocomm__ring__1 @t1104)))) % 41.55/41.75 (assume @p1176 (forall @t1106 (=> @t1124 (tptp.class_Groups_Omonoid__add @t1104)))) % 41.55/41.75 (assume @p1177 (forall @t1106 (=> @t1121 (tptp.class_Rings_Osemiring__0 @t1104)))) % 41.55/41.75 (assume @p1178 (forall @t1106 (=> @t1130 (tptp.class_Groups_Ogroup__add @t1104)))) % 41.55/41.75 (assume @p1179 (forall @t1106 (=> @t1128 (tptp.class_Divides_Oring__div @t1104)))) % 41.55/41.75 (assume @p1180 (forall @t1106 (=> @t1121 (tptp.class_Rings_Omult__zero @t1104)))) % 41.55/41.75 (assume @p1181 (forall @t1106 (=> @t1134 (tptp.class_Rings_Ocomm__ring @t1104)))) % 41.55/41.75 (assume @p1182 (forall @t1106 (=> @t1117 (tptp.class_Orderings_Oorder @t1104)))) % 41.55/41.75 (assume @p1183 (forall @t1106 (=> @t1117 (tptp.class_Int_Oring__char__0 @t1104)))) % 41.55/41.75 (assume @p1184 (forall @t1106 (=> @t1133 (tptp.class_Int_Onumber__ring @t1104)))) % 41.55/41.75 (assume @p1185 (forall @t1106 (=> @t1121 (tptp.class_Rings_Osemiring @t1104)))) % 41.55/41.75 (assume @p1186 (forall @t1106 (=> @t1117 (tptp.class_Orderings_Oord @t1104)))) % 41.55/41.75 (assume @p1187 (forall @t1106 (=> @t1130 (tptp.class_Groups_Ouminus @t1104)))) % 41.55/41.75 (assume @p1188 (forall @t1106 (=> @t1117 (tptp.class_Groups_Osgn__if @t1104)))) % 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bool-impl-elim :args (@t49 @t965)) % 41.55/41.75 (step @p1565 :rule cong :premises (@p1564) :args (@t966)) % 41.55/41.75 (step @p1566 :rule eq_resolve :premises (@p850 @p1565)) % 41.55/41.75 (step @p1567 :rule instantiate :premises (@p1566) :args ((@list @t1157 @t22 @t26 @t7))) % 41.55/41.75 (step @p1568 :rule cnf_or_pos :args (@t1302)) % 41.55/41.75 (step @p1569 :rule reordering :premises (@p1568) :args ((or @t1203 @t1301 (not @t1302)))) % 41.55/41.75 (step @p1570 :rule chain_m_resolution :premises (@p1569 @p1329 @p1567) :args (@t1301 @t1172 (@list @t1199 @t1302))) % 41.55/41.75 (assume-push @p1677 @t18) % 41.55/41.75 (assume-push @p1678 @t31) % 41.55/41.75 (assume-push @p1679 @t1163) % 41.55/41.75 (assume-push @p1680 @t1169) % 41.55/41.75 (assume-push @p1681 @t1175) % 41.55/41.75 (assume-push @p1682 @t1202) % 41.55/41.75 (assume-push @p1683 @t1207) % 41.55/41.75 (assume-push @p1684 @t1209) % 41.55/41.75 (assume-push @p1685 @t1193) % 41.55/41.75 (assume-push @p1686 @t1213) % 41.55/41.75 (assume-push @p1687 @t1181) % 41.55/41.75 (assume-push @p1688 @t1185) % 41.55/41.75 (assume-push @p1689 @t1263) % 41.55/41.75 (assume-push @p1690 @t1274) % 41.55/41.75 (assume-push @p1691 @t1278) % 41.55/41.75 (assume-push @p1692 @t1305) % 41.55/41.75 (assume-push @p1693 @t1283) % 41.55/41.75 (assume-push @p1694 @t1289) % 41.55/41.75 (assume-push @p1695 @t1293) % 41.55/41.75 (assume-push @p1696 @t1298) % 41.55/41.75 (assume-push @p1697 @t1301) % 41.55/41.75 (step @p1592 :rule symm :premises (@p1340)) % 41.55/41.75 (step @p1593 :rule symm :premises (@p1293)) % 41.55/41.75 (step @p1594 :rule cong :premises (@p1212 @p1593) :args (@t1300)) % 41.55/41.75 (step @p1595 :rule trans :premises (@p1570 @p1594)) % 41.55/41.75 (step @p1596 :rule symm :premises (@p1282)) % 41.55/41.75 (step @p1597 :rule cong :premises (@p1208 @p1596) :args (@t1282)) % 41.55/41.75 (step @p1598 :rule symm :premises (@p1542)) % 41.55/41.75 (step @p1599 :rule symm :premises (@p1270)) % 41.55/41.75 (step @p1600 :rule symm :premises (@p11)) % 41.55/41.75 (step @p1601 :rule refl :args (tptp.tc_Complex_Ocomplex)) % 41.55/41.75 (step @p1602 :rule cong :premises (@p1601 @p1600) :args (@t1262)) % 41.55/41.75 (step @p1603 :rule symm :premises (@p1488)) % 41.55/41.75 (step @p1604 :rule symm :premises (@p1520)) % 41.55/41.75 (step @p1605 :rule refl :args (@t28)) % 41.55/41.75 (step @p1606 :rule refl :args (@t7)) % 41.55/41.75 (step @p1607 :rule cong :premises (@p1606 @p11 @p1605) :args ((tptp.c_Divides_Odiv__class_Odiv @t7 tptp.v_pa____ @t28))) % 41.55/41.75 (step @p1608 :rule symm :premises (@p1244)) % 41.55/41.75 (step @p1609 :rule cong :premises (@p1606 @p1608 @p1605) :args (@t1277)) % 41.55/41.75 (step @p1610 :rule trans :premises (@p1524 @p1609 @p1607 @p1604)) % 41.55/41.75 (step @p1611 :rule cong :premises (@p1601 @p1610) :args (@t1306)) % 41.55/41.75 (step @p1612 :rule refl :args (@t1168)) % 41.55/41.75 (step @p1613 :rule cong :premises (@p1206 @p1612 @p1611) :args ((tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1168 @t1306))) % 41.55/41.75 (step @p1614 :rule symm :premises (@p1611)) % 41.55/41.75 (step @p1615 :rule cong :premises (@p1206 @p1256 @p1614) :args (@t1303)) % 41.55/41.75 (step @p1616 :rule trans :premises (@p1615 @p1613 @p1603 @p1602)) % 41.55/41.75 (step @p1617 :rule cong :premises (@p1206 @p1616 @p1210) :args (@t1304)) % 41.55/41.75 (step @p1618 :rule trans :premises (@p1528 @p1617)) % 41.55/41.76 (step @p1619 :rule trans :premises (@p1603 @p1602)) % 41.55/41.76 (step @p1620 :rule cong :premises (@p1206 @p1619 @p1618) :args ((tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1261 @t14))) % 41.55/41.76 (step @p1621 :rule symm :premises (@p1619)) % 41.55/41.76 (step @p1622 :rule cong :premises (@p1206 @p1621 @p1204) :args (@t1155)) % 41.55/41.76 (step @p1623 :rule trans :premises (@p1622 @p1620 @p1599)) % 41.55/41.76 (step @p1624 :rule cong :premises (@p1208 @p1623) :args (@t1156)) % 41.55/41.76 (step @p1625 :rule cong :premises (@p1208 @p1618) :args (@t17)) % 41.55/41.76 (step @p1626 :rule cong :premises (@p1216 @p1625) :args ((tptp.hAPP @t11 @t17))) % 41.55/41.76 (step @p1627 :rule symm :premises (@p7)) % 41.55/41.76 (step @p1628 :rule symm :premises (@p1332)) % 41.55/41.76 (step @p1629 :rule trans :premises (@p1628 @p1627)) % 41.55/41.76 (step @p1630 :rule cong :premises (@p1216 @p1629) :args (@t1291)) % 41.55/41.76 (step @p1631 :rule trans :premises (@p1630 @p1626)) % 41.55/41.76 (step @p1632 :rule cong :premises (@p1631 @p1624) :args (@t1292)) % 41.55/41.76 (step @p1633 :rule symm :premises (@p1549)) % 41.55/41.76 (step @p1634 :rule trans :premises (@p1633 @p1556 @p1632 @p1598 @p1597)) % 41.55/41.76 (step @p1635 :rule cong :premises (@p1216 @p1634) :args (@t1296)) % 41.55/41.76 (step @p1636 :rule cong :premises (@p1635 @p1595) :args (@t1297)) % 41.55/41.76 (step @p1637 :rule cong :premises (@p1216 @p1336) :args (@t1187)) % 41.55/41.76 (step @p1638 :rule cong :premises (@p1637 @p1347) :args (@t1188)) % 41.55/41.76 (step @p1639 :rule trans :premises (@p1318 @p1638 @p1563 @p1636 @p1592)) % 41.55/41.76 (step-pop @p1698 :rule scope :premises (@p1639)) % 41.55/41.76 (step-pop @p1699 :rule scope :premises (@p1698)) % 41.55/41.76 (step-pop @p1700 :rule scope :premises (@p1699)) % 41.55/41.76 (step-pop @p1701 :rule scope :premises (@p1700)) % 41.55/41.76 (step-pop @p1702 :rule scope :premises (@p1701)) % 41.55/41.76 (step-pop @p1703 :rule scope :premises (@p1702)) % 41.55/41.76 (step-pop @p1704 :rule scope :premises (@p1703)) % 41.55/41.76 (step-pop @p1705 :rule scope :premises (@p1704)) % 41.55/41.76 (step-pop @p1706 :rule scope :premises (@p1705)) % 41.55/41.76 (step-pop @p1707 :rule scope :premises (@p1706)) % 41.55/41.76 (step-pop @p1708 :rule scope :premises (@p1707)) % 41.55/41.76 (step-pop @p1709 :rule scope :premises (@p1708)) % 41.55/41.76 (step-pop @p1710 :rule scope :premises (@p1709)) % 41.55/41.76 (step-pop @p1711 :rule scope :premises (@p1710)) % 41.55/41.76 (step-pop @p1712 :rule scope :premises (@p1711)) % 41.55/41.76 (step-pop @p1713 :rule scope :premises (@p1712)) % 41.55/41.76 (step-pop @p1714 :rule scope :premises (@p1713)) % 41.55/41.76 (step-pop @p1715 :rule scope :premises (@p1714)) % 41.55/41.76 (step-pop @p1716 :rule scope :premises (@p1715)) % 41.55/41.76 (step-pop @p1717 :rule scope :premises (@p1716)) % 41.55/41.76 (step-pop @p1718 :rule scope :premises (@p1717)) % 41.55/41.76 (step @p1640 :rule process_scope :premises (@p1718) :args (@t1307)) % 41.55/41.76 (step @p1662 :rule implies_elim :premises (@p1640)) % 41.55/41.76 (step @p1663 :rule cnf_and_neg :args (@t1308)) % 41.55/41.76 (step @p1664 :rule resolution :premises (@p1663 @p1662) :args (true @t1308)) % 41.55/41.76 (step @p1665 :rule reordering :premises (@p1664) :args ((or @t1307 (not @t18) (not @t31) @t1164 (not @t1169) (not @t1175) (not @t1202) (not @t1207) (not @t1209) (not @t1193) (not @t1213) (not @t1181) (not @t1185) (not @t1263) (not @t1274) (not @t1278) (not @t1305) (not @t1283) (not @t1289) (not @t1293) (not @t1298) (not @t1301)))) % 41.55/41.76 (step @p1666 false :rule chain_m_resolution :premises (@p1665 @p1570 @p1563 @p1556 @p1549 @p1542 @p1528 @p1524 @p1520 @p1488 @p1347 @p1340 @p1336 @p1332 @p1318 @p1293 @p1282 @p1270 @p1256 @p1244 @p1230 @p11 @p7) :args (false (@list false false false false false false false false false false false false false false false false false false false true false false) (@list @t1301 @t1298 @t1293 @t1289 @t1283 @t1305 @t1278 @t1274 @t1263 @t1213 @t1209 @t1207 @t1202 @t1193 @t1185 @t1181 @t1175 @t1169 @t1163 @t1307 @t31 @t18))) % 41.55/41.76 ) % 41.55/41.76 % SZS output end Proof % 41.55/41.76 % cvc5 exiting %------------------------------------------------------------------------------