%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW259+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n024.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 09:04:36 AM UTC 2026 % Result : Theorem 0.82s 1.07s % Output : Proof 0.82s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW259+1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.07/0.25 % Computer : n024.cluster.edu % 0.07/0.25 % Model : x86_64 x86_64 % 0.07/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.07/0.25 % Memory : 8042.1875MB % 0.07/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.07/0.25 % CPULimit : 300 % 0.07/0.25 % WCLimit : 300 % 0.07/0.25 % DateTime : Tue Jun 2 16:42:45 EDT 2026 % 0.07/0.25 % CPUTime : % 0.24/0.50 %----Proving TF0_NAR, FOF, or CNF % 0.82/1.07 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.82/1.07 % SZS status Theorem % 0.82/1.07 % SZS output start Proof % 0.82/1.07 ( % 0.82/1.07 (declare-sort $$unsorted 0) % 0.82/1.07 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.v_thesis____ Bool) % 0.82/1.07 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.v_p $$unsorted) % 0.82/1.07 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.v_c____ $$unsorted) % 0.82/1.07 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.v_q____ $$unsorted) % 0.82/1.07 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.v_pa____ $$unsorted) % 0.82/1.07 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.82/1.07 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.c_Complex_Oii $$unsorted) % 0.82/1.07 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.v_a____ $$unsorted) % 0.82/1.07 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.82/1.07 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.v_k____ $$unsorted) % 0.82/1.07 (declare-const tptp.tc_HOL_Obool $$unsorted) % 0.82/1.07 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.v_m____ $$unsorted) % 0.82/1.07 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.tc_Nat_Onat $$unsorted) % 0.82/1.07 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.v_w____ $$unsorted) % 0.82/1.07 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.82/1.07 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.v_s____ $$unsorted) % 0.82/1.07 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.82/1.07 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.82/1.07 (define @t1 () (@var "V_g_2" $$unsorted)) % 0.82/1.07 (define @t2 () (@var "V_f_2" $$unsorted)) % 0.82/1.07 (define @t3 () (@var "B_x" $$unsorted)) % 0.82/1.07 (define @t4 () (tptp.hAPP @t1 @t3)) % 0.82/1.07 (define @t5 () (tptp.hAPP @t2 @t3)) % 0.82/1.07 (define @t6 () (@list @t3)) % 0.82/1.07 (define @t7 () (@var "V_d2" $$unsorted)) % 0.82/1.07 (define @t8 () (@var "B_e" $$unsorted)) % 0.82/1.07 (define @t9 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t7)) % 0.82/1.07 (define @t10 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 0.82/1.07 (define @t11 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t10)) % 0.82/1.07 (define @t12 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 0.82/1.07 (define @t13 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t8)) % 0.82/1.07 (define @t14 () (and @t13 @t11 @t9)) % 0.82/1.07 (define @t15 () (@list @t8)) % 0.82/1.07 (define @t16 () (exists @t15 @t14)) % 0.82/1.07 (define @t17 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t7)) % 0.82/1.07 (define @t18 () (=> @t17 @t16)) % 0.82/1.07 (define @t19 () (@list @t7)) % 0.82/1.07 (define @t20 () (forall @t19 @t18)) % 0.82/1.07 (define @t21 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 0.82/1.07 (define @t22 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat tptp.v_k____ @t21)) % 0.82/1.07 (define @t23 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_w____)) % 0.82/1.07 (define @t24 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 0.82/1.07 (define @t25 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 0.82/1.07 (define @t26 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t25 (tptp.hAPP (tptp.hAPP @t24 @t23) @t22)) tptp.v_m____))) % 0.82/1.07 (define @t27 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t26)) % 0.82/1.07 (define @t28 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 0.82/1.07 (define @t29 () (@var "V_n" $$unsorted)) % 0.82/1.07 (define @t30 () (@var "V_a" $$unsorted)) % 0.82/1.07 (define @t31 () (@var "T_a" $$unsorted)) % 0.82/1.07 (define @t32 () (tptp.c_Power_Opower__class_Opower @t31)) % 0.82/1.07 (define @t33 () (tptp.hAPP @t32 @t30)) % 0.82/1.07 (define @t34 () (tptp.hAPP @t33 @t29)) % 0.82/1.07 (define @t35 () (tptp.c_Groups_Otimes__class_Otimes @t31)) % 0.82/1.07 (define @t36 () (tptp.hAPP @t35 @t30)) % 0.82/1.07 (define @t37 () (tptp.hAPP @t36 @t34)) % 0.82/1.07 (define @t38 () (tptp.c_Groups_Oone__class_Oone @t31)) % 0.82/1.07 (define @t39 () (tptp.c_Orderings_Oord__class_Oless @t31 @t30 @t38)) % 0.82/1.07 (define @t40 () (tptp.c_Groups_Ozero__class_Ozero @t31)) % 0.82/1.07 (define @t41 () (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t30)) % 0.82/1.07 (define @t42 () (tptp.class_Rings_Olinordered__semidom @t31)) % 0.82/1.07 (define @t43 () (@list @t29 @t30 @t31)) % 0.82/1.07 (define @t44 () (@var "V_x" $$unsorted)) % 0.82/1.07 (define @t45 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t44)) % 0.82/1.07 (define @t46 () (tptp.hAPP @t25 @t45)) % 0.82/1.07 (define @t47 () (@list @t44)) % 0.82/1.07 (define @t48 () (@var "V_x1" $$unsorted)) % 0.82/1.07 (define @t49 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t48)) % 0.82/1.07 (define @t50 () (@var "V_u" $$unsorted)) % 0.82/1.07 (define @t51 () (tptp.hAPP @t25 @t50)) % 0.82/1.07 (define @t52 () (@var "V_y" $$unsorted)) % 0.82/1.07 (define @t53 () (tptp.hAPP @t25 @t44)) % 0.82/1.07 (define @t54 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t25 @t48) @t52) (tptp.hAPP @t53 @t50))) % 0.82/1.07 (define @t55 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t48)) % 0.82/1.07 (define @t56 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t44)) % 0.82/1.07 (define @t57 () (@list @t50 @t52 @t48 @t44)) % 0.82/1.07 (define @t58 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t30)) % 0.82/1.07 (define @t59 () (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t30)) % 0.82/1.07 (define @t60 () (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t59) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t58))) % 0.82/1.07 (define @t61 () (= @t30 @t40)) % 0.82/1.07 (define @t62 () (not @t61)) % 0.82/1.07 (define @t63 () (tptp.class_RealVector_Oreal__normed__div__algebra @t31)) % 0.82/1.07 (define @t64 () (@list @t30 @t31)) % 0.82/1.07 (define @t65 () (@var "V_s" $$unsorted)) % 0.82/1.07 (define @t66 () (@var "V_r" $$unsorted)) % 0.82/1.07 (define @t67 () (tptp.hAPP @t35 @t44)) % 0.82/1.07 (define @t68 () (tptp.hAPP @t67 @t52)) % 0.82/1.07 (define @t69 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t68)) % 0.82/1.07 (define @t70 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t52)) % 0.82/1.07 (define @t71 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t70 @t65)) % 0.82/1.07 (define @t72 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t44)) % 0.82/1.07 (define @t73 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t72 @t66)) % 0.82/1.07 (define @t74 () (tptp.class_RealVector_Oreal__normed__algebra @t31)) % 0.82/1.07 (define @t75 () (@list @t65 @t52 @t66 @t44 @t31)) % 0.82/1.07 (define @t76 () (@var "V_x_2" $$unsorted)) % 0.82/1.07 (define @t77 () (= @t76 @t40)) % 0.82/1.07 (define @t78 () (not @t77)) % 0.82/1.07 (define @t79 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t76)) % 0.82/1.07 (define @t80 () (tptp.class_RealVector_Oreal__normed__vector @t31)) % 0.82/1.07 (define @t81 () (@list @t76 @t31)) % 0.82/1.07 (define @t82 () (tptp.class_Rings_Odivision__ring @t31)) % 0.82/1.07 (define @t83 () (tptp.hAPP @t35 @t59)) % 0.82/1.07 (define @t84 () (=> @t62 (= (tptp.hAPP @t83 @t30) @t38))) % 0.82/1.07 (define @t85 () (tptp.class_Fields_Ofield @t31)) % 0.82/1.07 (define @t86 () (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t76)) % 0.82/1.07 (define @t87 () (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t76)) % 0.82/1.07 (define @t88 () (tptp.class_Fields_Olinordered__field__inverse__zero @t31)) % 0.82/1.07 (define @t89 () (tptp.class_Fields_Olinordered__field @t31)) % 0.82/1.07 (define @t90 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (define @t91 () (@var "V_n_2" $$unsorted)) % 0.82/1.07 (define @t92 () (= @t91 @t28)) % 0.82/1.07 (define @t93 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t76)) % 0.82/1.07 (define @t94 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 0.82/1.07 (define @t95 () (tptp.hAPP @t94 @t76)) % 0.82/1.07 (define @t96 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 (tptp.hAPP @t95 @t91))) % 0.82/1.07 (define @t97 () (@list @t91 @t76)) % 0.82/1.07 (define @t98 () (@var "V_m" $$unsorted)) % 0.82/1.07 (define @t99 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t98 @t29)) % 0.82/1.07 (define @t100 () (@var "V_i" $$unsorted)) % 0.82/1.07 (define @t101 () (tptp.hAPP @t94 @t100)) % 0.82/1.07 (define @t102 () (tptp.hAPP @t101 @t29)) % 0.82/1.07 (define @t103 () (tptp.hAPP @t101 @t98)) % 0.82/1.07 (define @t104 () (@list @t29 @t98 @t100)) % 0.82/1.07 (define @t105 () (tptp.hAPP @t33 @t98)) % 0.82/1.07 (define @t106 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 0.82/1.07 (define @t107 () (tptp.hAPP @t106 @t98)) % 0.82/1.07 (define @t108 () (tptp.hAPP @t107 @t29)) % 0.82/1.07 (define @t109 () (tptp.class_Groups_Omonoid__mult @t31)) % 0.82/1.07 (define @t110 () (@list @t29 @t98 @t30 @t31)) % 0.82/1.07 (define @t111 () (tptp.class_Power_Opower @t31)) % 0.82/1.07 (define @t112 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t29)) % 0.82/1.07 (define @t113 () (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t30)) % 0.82/1.07 (define @t114 () (tptp.c_Orderings_Oord__class_Oless @t31 @t52 @t44)) % 0.82/1.07 (define @t115 () (tptp.c_Orderings_Oord__class_Oless @t31 @t44 @t52)) % 0.82/1.07 (define @t116 () (not @t115)) % 0.82/1.07 (define @t117 () (= @t44 @t52)) % 0.82/1.07 (define @t118 () (not @t117)) % 0.82/1.07 (define @t119 () (=> @t118 (=> @t116 @t114))) % 0.82/1.07 (define @t120 () (tptp.class_Rings_Olinordered__idom @t31)) % 0.82/1.07 (define @t121 () (@list @t52 @t44 @t31)) % 0.82/1.07 (define @t122 () (@var "V_z3" $$unsorted)) % 0.82/1.07 (define @t123 () (@var "V_z2" $$unsorted)) % 0.82/1.07 (define @t124 () (tptp.hAPP @t25 @t123)) % 0.82/1.07 (define @t125 () (@var "V_z1" $$unsorted)) % 0.82/1.07 (define @t126 () (tptp.hAPP @t25 @t125)) % 0.82/1.07 (define @t127 () (@list @t122 @t123 @t125)) % 0.82/1.07 (define @t128 () (@var "V_z" $$unsorted)) % 0.82/1.07 (define @t129 () (@var "V_w" $$unsorted)) % 0.82/1.07 (define @t130 () (tptp.hAPP @t25 @t128)) % 0.82/1.07 (define @t131 () (@list @t129 @t128)) % 0.82/1.07 (define @t132 () (@var "V_b" $$unsorted)) % 0.82/1.07 (define @t133 () (= @t30 @t132)) % 0.82/1.07 (define @t134 () (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t132)) % 0.82/1.07 (define @t135 () (= @t59 @t134)) % 0.82/1.07 (define @t136 () (tptp.class_Rings_Odivision__ring__inverse__zero @t31)) % 0.82/1.07 (define @t137 () (@list @t132 @t30 @t31)) % 0.82/1.07 (define @t138 () (@var "V_b_2" $$unsorted)) % 0.82/1.07 (define @t139 () (@var "V_aa_2" $$unsorted)) % 0.82/1.07 (define @t140 () (= @t139 @t138)) % 0.82/1.07 (define @t141 () (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t139)) % 0.82/1.07 (define @t142 () (@list @t138 @t139 @t31)) % 0.82/1.07 (define @t143 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t59) @t30)) % 0.82/1.07 (define @t144 () (= @t132 @t40)) % 0.82/1.07 (define @t145 () (tptp.hAPP @t36 @t132)) % 0.82/1.07 (define @t146 () (= @t145 @t40)) % 0.82/1.07 (define @t147 () (tptp.class_Rings_Ono__zero__divisors @t31)) % 0.82/1.07 (define @t148 () (not @t144)) % 0.82/1.07 (define @t149 () (= @t139 @t40)) % 0.82/1.07 (define @t150 () (tptp.hAPP @t35 @t139)) % 0.82/1.07 (define @t151 () (tptp.hAPP @t150 @t138)) % 0.82/1.07 (define @t152 () (@list @t44 @t31)) % 0.82/1.07 (define @t153 () (= (tptp.hAPP @t36 @t40) @t40)) % 0.82/1.07 (define @t154 () (tptp.class_Rings_Omult__zero @t31)) % 0.82/1.07 (define @t155 () (tptp.hAPP @t35 @t40)) % 0.82/1.07 (define @t156 () (@list @t52 @t31)) % 0.82/1.07 (define @t157 () (= (tptp.hAPP @t155 @t30) @t40)) % 0.82/1.07 (define @t158 () (tptp.class_Rings_Ozero__neq__one @t31)) % 0.82/1.07 (define @t159 () (@list @t31)) % 0.82/1.07 (define @t160 () (@var "V_c" $$unsorted)) % 0.82/1.07 (define @t161 () (@var "V_e" $$unsorted)) % 0.82/1.07 (define @t162 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t132)) % 0.82/1.07 (define @t163 () (tptp.hAPP @t35 @t162)) % 0.82/1.07 (define @t164 () (tptp.hAPP @t35 @t132)) % 0.82/1.07 (define @t165 () (@var "V_ya" $$unsorted)) % 0.82/1.07 (define @t166 () (tptp.hAPP @t35 @t52)) % 0.82/1.07 (define @t167 () (tptp.hAPP @t166 @t165)) % 0.82/1.07 (define @t168 () (tptp.hAPP @t67 @t165)) % 0.82/1.07 (define @t169 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t44 @t52)) % 0.82/1.07 (define @t170 () (@list @t165 @t52 @t44 @t31)) % 0.82/1.07 (define @t171 () (@var "V_a_H" $$unsorted)) % 0.82/1.07 (define @t172 () (tptp.hAPP (tptp.hAPP @t35 @t171) @t132)) % 0.82/1.07 (define @t173 () (@list @t132 @t171 @t30 @t31)) % 0.82/1.07 (define @t174 () (tptp.hAPP @t164 @t160)) % 0.82/1.07 (define @t175 () (tptp.hAPP @t36 @t160)) % 0.82/1.07 (define @t176 () (= (tptp.hAPP @t163 @t160) (tptp.c_Groups_Oplus__class_Oplus @t31 @t175 @t174))) % 0.82/1.07 (define @t177 () (@list @t160 @t132 @t30 @t31)) % 0.82/1.07 (define @t178 () (@var "V_xa" $$unsorted)) % 0.82/1.07 (define @t179 () (tptp.hAPP @t35 @t178)) % 0.82/1.07 (define @t180 () (tptp.hAPP @t179 @t52)) % 0.82/1.07 (define @t181 () (tptp.hAPP @t179 @t44)) % 0.82/1.07 (define @t182 () (@list @t52 @t44 @t178 @t31)) % 0.82/1.07 (define @t183 () (@var "V_b_H" $$unsorted)) % 0.82/1.07 (define @t184 () (tptp.hAPP @t36 @t183)) % 0.82/1.07 (define @t185 () (@list @t183 @t132 @t30 @t31)) % 0.82/1.07 (define @t186 () (tptp.class_Rings_Oring__1__no__zero__divisors @t31)) % 0.82/1.07 (define @t187 () (not @t92)) % 0.82/1.07 (define @t188 () (tptp.hAPP @t32 @t139)) % 0.82/1.07 (define @t189 () (tptp.hAPP @t188 @t91)) % 0.82/1.07 (define @t190 () (@list @t91 @t139 @t31)) % 0.82/1.07 (define @t191 () (tptp.hAPP @t32 @t132)) % 0.82/1.07 (define @t192 () (tptp.hAPP @t191 @t29)) % 0.82/1.07 (define @t193 () (tptp.hAPP @t35 @t34)) % 0.82/1.07 (define @t194 () (tptp.class_Groups_Ocomm__monoid__mult @t31)) % 0.82/1.07 (define @t195 () (@list @t29 @t132 @t30 @t31)) % 0.82/1.07 (define @t196 () (tptp.hAPP @t193 @t30)) % 0.82/1.07 (define @t197 () (@list @t29 @t31)) % 0.82/1.07 (define @t198 () (= @t59 @t40)) % 0.82/1.07 (define @t199 () (@list @t139 @t31)) % 0.82/1.07 (define @t200 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t40) @t40)) % 0.82/1.07 (define @t201 () (tptp.class_Fields_Ofield__inverse__zero @t31)) % 0.82/1.07 (define @t202 () (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t145)) % 0.82/1.07 (define @t203 () (= @t76 @t38)) % 0.82/1.07 (define @t204 () (@var "V_ca_2" $$unsorted)) % 0.82/1.07 (define @t205 () (tptp.hAPP @t25 @t204)) % 0.82/1.07 (define @t206 () (not (= @t204 @t12))) % 0.82/1.07 (define @t207 () (@list @t138 @t139 @t204)) % 0.82/1.07 (define @t208 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t34) (tptp.hAPP (tptp.hAPP @t32 @t59) @t29))) % 0.82/1.07 (define @t209 () (@list @t128)) % 0.82/1.07 (define @t210 () (tptp.hAPP @t35 @t160)) % 0.82/1.07 (define @t211 () (tptp.hAPP @t210 @t132)) % 0.82/1.07 (define @t212 () (tptp.hAPP @t210 @t30)) % 0.82/1.07 (define @t213 () (tptp.c_Orderings_Oord__class_Oless @t31 @t212 @t211)) % 0.82/1.07 (define @t214 () (tptp.c_Orderings_Oord__class_Oless @t31 @t160 @t40)) % 0.82/1.07 (define @t215 () (tptp.c_Orderings_Oord__class_Oless @t31 @t132 @t30)) % 0.82/1.07 (define @t216 () (tptp.class_Rings_Olinordered__ring__strict @t31)) % 0.82/1.07 (define @t217 () (@list @t160 @t30 @t132 @t31)) % 0.82/1.07 (define @t218 () (tptp.c_Orderings_Oord__class_Oless @t31 @t175 @t174)) % 0.82/1.07 (define @t219 () (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t160)) % 0.82/1.07 (define @t220 () (tptp.c_Orderings_Oord__class_Oless @t31 @t30 @t132)) % 0.82/1.07 (define @t221 () (=> @t220 (=> @t219 @t213))) % 0.82/1.07 (define @t222 () (tptp.class_Rings_Olinordered__semiring__strict @t31)) % 0.82/1.07 (define @t223 () (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t145)) % 0.82/1.07 (define @t224 () (tptp.c_Orderings_Oord__class_Oless @t31 @t132 @t40)) % 0.82/1.07 (define @t225 () (tptp.c_Orderings_Oord__class_Oless @t31 @t30 @t40)) % 0.82/1.07 (define @t226 () (tptp.c_Orderings_Oord__class_Oless @t31 @t145 @t40)) % 0.82/1.07 (define @t227 () (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t132)) % 0.82/1.07 (define @t228 () (tptp.c_Orderings_Oord__class_Oless @t31 @t138 @t139)) % 0.82/1.07 (define @t229 () (tptp.hAPP @t35 @t204)) % 0.82/1.07 (define @t230 () (tptp.hAPP @t229 @t138)) % 0.82/1.07 (define @t231 () (tptp.hAPP @t229 @t139)) % 0.82/1.07 (define @t232 () (tptp.c_Orderings_Oord__class_Oless @t31 @t231 @t230)) % 0.82/1.07 (define @t233 () (tptp.c_Orderings_Oord__class_Oless @t31 @t204 @t40)) % 0.82/1.07 (define @t234 () (@list @t138 @t139 @t204 @t31)) % 0.82/1.07 (define @t235 () (=> @t41 @t227)) % 0.82/1.07 (define @t236 () (tptp.hAPP @t164 @t30)) % 0.82/1.07 (define @t237 () (@list @t30 @t132 @t31)) % 0.82/1.07 (define @t238 () (tptp.c_Orderings_Oord__class_Oless @t31 @t139 @t138)) % 0.82/1.07 (define @t239 () (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t204)) % 0.82/1.07 (define @t240 () (or (and @t239 @t238) (and @t233 @t228))) % 0.82/1.07 (define @t241 () (tptp.hAPP @t35 @t138)) % 0.82/1.07 (define @t242 () (tptp.hAPP @t241 @t204)) % 0.82/1.07 (define @t243 () (tptp.hAPP @t150 @t204)) % 0.82/1.07 (define @t244 () (@list @t138 @t204 @t139 @t31)) % 0.82/1.07 (define @t245 () (tptp.hAPP @t36 @t30)) % 0.82/1.07 (define @t246 () (tptp.class_Rings_Olinordered__ring @t31)) % 0.82/1.07 (define @t247 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t160)) % 0.82/1.07 (define @t248 () (tptp.c_Orderings_Oord__class_Oless @t31 @t132 @t247)) % 0.82/1.07 (define @t249 () (tptp.c_Orderings_Oord__class_Oless @t31 @t132 @t160)) % 0.82/1.07 (define @t250 () (=> @t249 @t248)) % 0.82/1.07 (define @t251 () (tptp.hAPP @t35 @t98)) % 0.82/1.07 (define @t252 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t38)) % 0.82/1.07 (define @t253 () (tptp.hAPP @t32 @t40)) % 0.82/1.07 (define @t254 () (tptp.hAPP @t253 @t29)) % 0.82/1.07 (define @t255 () (= @t29 @t28)) % 0.82/1.07 (define @t256 () (not @t255)) % 0.82/1.07 (define @t257 () (tptp.class_Rings_Osemiring__0 @t31)) % 0.82/1.07 (define @t258 () (and @t111 @t257)) % 0.82/1.07 (define @t259 () (@var "V_N" $$unsorted)) % 0.82/1.07 (define @t260 () (tptp.hAPP @t33 @t259)) % 0.82/1.07 (define @t261 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t259)) % 0.82/1.07 (define @t262 () (@list @t30 @t259 @t29 @t31)) % 0.82/1.07 (define @t263 () (@var "V_y_2" $$unsorted)) % 0.82/1.07 (define @t264 () (tptp.hAPP @t32 @t138)) % 0.82/1.07 (define @t265 () (tptp.hAPP @t264 @t263)) % 0.82/1.07 (define @t266 () (tptp.hAPP @t264 @t76)) % 0.82/1.07 (define @t267 () (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t138)) % 0.82/1.07 (define @t268 () (@list @t263 @t76 @t138 @t31)) % 0.82/1.07 (define @t269 () (@var "V_ma_2" $$unsorted)) % 0.82/1.07 (define @t270 () (= @t269 @t91)) % 0.82/1.07 (define @t271 () (tptp.c_Orderings_Oord__class_Oless @t31 @t59 @t134)) % 0.82/1.07 (define @t272 () (tptp.c_Orderings_Oord__class_Oless @t31 @t59 @t40)) % 0.82/1.07 (define @t273 () (tptp.c_Orderings_Oord__class_Oless @t31 @t134 @t59)) % 0.82/1.07 (define @t274 () (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t59)) % 0.82/1.07 (define @t275 () (tptp.c_Orderings_Oord__class_Oless @t31 @t139 @t40)) % 0.82/1.07 (define @t276 () (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t139)) % 0.82/1.07 (define @t277 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t29)) % 0.82/1.07 (define @t278 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t169)) % 0.82/1.07 (define @t279 () (tptp.hAPP (tptp.hAPP @t25 @t72) @t70)) % 0.82/1.07 (define @t280 () (@list @t52 @t44)) % 0.82/1.07 (define @t281 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t76 @t263)) % 0.82/1.07 (define @t282 () (@var "V_z_2" $$unsorted)) % 0.82/1.07 (define @t283 () (tptp.hAPP @t25 @t263)) % 0.82/1.07 (define @t284 () (tptp.hAPP @t283 @t282)) % 0.82/1.07 (define @t285 () (tptp.hAPP @t25 @t76)) % 0.82/1.07 (define @t286 () (tptp.hAPP @t285 @t282)) % 0.82/1.07 (define @t287 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t282)) % 0.82/1.07 (define @t288 () (@list @t263 @t76 @t282)) % 0.82/1.07 (define @t289 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t31)) % 0.82/1.07 (define @t290 () (tptp.hAPP (tptp.hAPP @t24 @t72) @t29)) % 0.82/1.07 (define @t291 () (tptp.hAPP @t32 @t44)) % 0.82/1.07 (define @t292 () (tptp.hAPP @t291 @t29)) % 0.82/1.07 (define @t293 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t292)) % 0.82/1.07 (define @t294 () (@list @t29 @t44 @t31)) % 0.82/1.07 (define @t295 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t38 @t38)) % 0.82/1.07 (define @t296 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t59 @t134)) % 0.82/1.07 (define @t297 () (= @t263 @t40)) % 0.82/1.07 (define @t298 () (tptp.hAPP @t35 @t76)) % 0.82/1.07 (define @t299 () (tptp.hAPP @t298 @t76)) % 0.82/1.07 (define @t300 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t299 (tptp.hAPP (tptp.hAPP @t35 @t263) @t263))) % 0.82/1.07 (define @t301 () (@list @t263 @t76 @t31)) % 0.82/1.07 (define @t302 () (tptp.hAPP @t67 @t44)) % 0.82/1.07 (define @t303 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t302 (tptp.hAPP @t166 @t52))) % 0.82/1.07 (define @t304 () (= @t76 @t12)) % 0.82/1.07 (define @t305 () (tptp.hAPP @t285 @t76)) % 0.82/1.07 (define @t306 () (@var "V_q" $$unsorted)) % 0.82/1.07 (define @t307 () (@var "V_p" $$unsorted)) % 0.82/1.07 (define @t308 () (tptp.hAPP @t291 @t306)) % 0.82/1.07 (define @t309 () (tptp.hAPP @t291 @t307)) % 0.82/1.07 (define @t310 () (tptp.class_Rings_Ocomm__semiring__1 @t31)) % 0.82/1.07 (define @t311 () (@list @t306 @t307 @t44 @t31)) % 0.82/1.07 (define @t312 () (tptp.hAPP (tptp.hAPP @t35 @t252) @t98)) % 0.82/1.07 (define @t313 () (tptp.hAPP @t36 @t98)) % 0.82/1.07 (define @t314 () (@var "V_d" $$unsorted)) % 0.82/1.07 (define @t315 () (tptp.hAPP @t35 @t66)) % 0.82/1.07 (define @t316 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t31)) % 0.82/1.07 (define @t317 () (and @t77 @t297)) % 0.82/1.07 (define @t318 () (tptp.c_Orderings_Oord__class_Oless @t31 @t162 @t40)) % 0.82/1.07 (define @t319 () (=> @t224 @t318)) % 0.82/1.07 (define @t320 () (tptp.class_Groups_Oordered__comm__monoid__add @t31)) % 0.82/1.07 (define @t321 () (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t162)) % 0.82/1.07 (define @t322 () (=> @t227 @t321)) % 0.82/1.07 (define @t323 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (define @t324 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (define @t325 () (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP (tptp.hAPP @t323 tptp.v_w____) tptp.v_k____)) tptp.v_a____)) % 0.82/1.07 (define @t326 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (define @t327 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t326 @t325)) % 0.82/1.07 (define @t328 () (@list @t129 @t123 @t125)) % 0.82/1.07 (define @t329 () (@list @t263 @t76)) % 0.82/1.07 (define @t330 () (tptp.class_Groups_Ozero @t31)) % 0.82/1.07 (define @t331 () (@var "V_ry" $$unsorted)) % 0.82/1.07 (define @t332 () (@var "V_lx" $$unsorted)) % 0.82/1.07 (define @t333 () (tptp.hAPP @t35 @t332)) % 0.82/1.07 (define @t334 () (@var "V_rx" $$unsorted)) % 0.82/1.07 (define @t335 () (tptp.hAPP @t35 @t334)) % 0.82/1.07 (define @t336 () (tptp.hAPP @t335 @t331)) % 0.82/1.07 (define @t337 () (tptp.hAPP @t333 @t336)) % 0.82/1.07 (define @t338 () (@list @t331 @t334 @t332 @t31)) % 0.82/1.07 (define @t339 () (tptp.hAPP @t35 (tptp.hAPP @t333 @t334))) % 0.82/1.07 (define @t340 () (@var "V_ly" $$unsorted)) % 0.82/1.07 (define @t341 () (tptp.hAPP @t35 @t340)) % 0.82/1.07 (define @t342 () (tptp.hAPP @t35 (tptp.hAPP @t333 @t340))) % 0.82/1.07 (define @t343 () (tptp.hAPP @t342 @t334)) % 0.82/1.07 (define @t344 () (@list @t334 @t340 @t332 @t31)) % 0.82/1.07 (define @t345 () (tptp.hAPP @t342 @t336)) % 0.82/1.07 (define @t346 () (@list @t331 @t334 @t340 @t332 @t31)) % 0.82/1.07 (define @t347 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t160 @t30)) % 0.82/1.07 (define @t348 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t160 @t314)) % 0.82/1.07 (define @t349 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t348)) % 0.82/1.07 (define @t350 () (@list @t314 @t160 @t30 @t31)) % 0.82/1.07 (define @t351 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t132 @t160)) % 0.82/1.07 (define @t352 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t162 @t160)) % 0.82/1.07 (define @t353 () (= @t352 (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t351))) % 0.82/1.07 (define @t354 () (= @t138 @t204)) % 0.82/1.07 (define @t355 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t139 @t204)) % 0.82/1.07 (define @t356 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t139 @t138)) % 0.82/1.07 (define @t357 () (tptp.class_Groups_Ocancel__semigroup__add @t31)) % 0.82/1.07 (define @t358 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t204 @t139)) % 0.82/1.07 (define @t359 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t138 @t139)) % 0.82/1.07 (define @t360 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t132 @t314)) % 0.82/1.07 (define @t361 () (@list @t314 @t160 @t132 @t30 @t31)) % 0.82/1.07 (define @t362 () (= @t132 @t160)) % 0.82/1.07 (define @t363 () (=> (= @t162 @t247) @t362)) % 0.82/1.07 (define @t364 () (tptp.hAPP @t106 @t307)) % 0.82/1.07 (define @t365 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t40 @t30) @t30)) % 0.82/1.07 (define @t366 () (tptp.class_Groups_Omonoid__add @t31)) % 0.82/1.07 (define @t367 () (tptp.class_Groups_Ocomm__monoid__add @t31)) % 0.82/1.07 (define @t368 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t139 @t139)) % 0.82/1.07 (define @t369 () (tptp.class_Groups_Olinordered__ab__group__add @t31)) % 0.82/1.07 (define @t370 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t40) @t30)) % 0.82/1.07 (define @t371 () (@list @t139 @t138 @t31)) % 0.82/1.07 (define @t372 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t138 @t204)) % 0.82/1.07 (define @t373 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t31)) % 0.82/1.07 (define @t374 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t204 @t138)) % 0.82/1.07 (define @t375 () (tptp.c_Orderings_Oord__class_Oless @t31 @t247 @t351)) % 0.82/1.07 (define @t376 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t31)) % 0.82/1.07 (define @t377 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t160 @t132)) % 0.82/1.07 (define @t378 () (tptp.c_Orderings_Oord__class_Oless @t31 @t347 @t377)) % 0.82/1.07 (define @t379 () (tptp.c_Orderings_Oord__class_Oless @t31 @t247 @t360)) % 0.82/1.07 (define @t380 () (tptp.c_Orderings_Oord__class_Oless @t31 @t160 @t314)) % 0.82/1.07 (define @t381 () (=> @t380 @t379)) % 0.82/1.07 (define @t382 () (@list @t132 @t160 @t30 @t31)) % 0.82/1.07 (define @t383 () (@list @t132 @t30 @t160 @t31)) % 0.82/1.07 (define @t384 () (@list @t128 @t52 @t44 @t31)) % 0.82/1.07 (define @t385 () (@var "V_d_2" $$unsorted)) % 0.82/1.07 (define @t386 () (= @t204 @t385)) % 0.82/1.07 (define @t387 () (@list @t385 @t204 @t138 @t139 @t31)) % 0.82/1.07 (define @t388 () (@var "V_wa_2" $$unsorted)) % 0.82/1.07 (define @t389 () (tptp.hAPP @t35 @t388)) % 0.82/1.07 (define @t390 () (= (tptp.hAPP (tptp.hAPP @t35 @t38) @t30) @t30)) % 0.82/1.07 (define @t391 () (= (tptp.hAPP @t36 @t38) @t30)) % 0.82/1.07 (define @t392 () (tptp.hAPP @t32 @t52)) % 0.82/1.07 (define @t393 () (tptp.hAPP @t35 @t308)) % 0.82/1.07 (define @t394 () (= (tptp.c_Orderings_Oord__class_Oless @t31 @t368 @t40) @t275)) % 0.82/1.07 (define @t395 () (@var "B_w" $$unsorted)) % 0.82/1.07 (define @t396 () (@list @t395)) % 0.82/1.07 (define @t397 () (@list @t29)) % 0.82/1.07 (define @t398 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t326)) % 0.82/1.07 (define @t399 () (= @t98 @t28)) % 0.82/1.07 (define @t400 () (@list @t29 @t98)) % 0.82/1.07 (define @t401 () (@var "V_j" $$unsorted)) % 0.82/1.07 (define @t402 () (@var "V_k" $$unsorted)) % 0.82/1.07 (define @t403 () (tptp.hAPP @t106 @t402)) % 0.82/1.07 (define @t404 () (tptp.hAPP @t403 @t401)) % 0.82/1.07 (define @t405 () (tptp.hAPP @t403 @t100)) % 0.82/1.07 (define @t406 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t402)) % 0.82/1.07 (define @t407 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 @t401)) % 0.82/1.07 (define @t408 () (@list @t402 @t401 @t100)) % 0.82/1.07 (define @t409 () (tptp.hAPP @t106 @t401)) % 0.82/1.07 (define @t410 () (tptp.hAPP @t409 @t402)) % 0.82/1.07 (define @t411 () (tptp.hAPP @t106 @t100)) % 0.82/1.07 (define @t412 () (tptp.hAPP @t411 @t402)) % 0.82/1.07 (define @t413 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t269 @t91)) % 0.82/1.07 (define @t414 () (@var "V_ka_2" $$unsorted)) % 0.82/1.07 (define @t415 () (tptp.hAPP @t106 @t414)) % 0.82/1.07 (define @t416 () (tptp.hAPP @t415 @t91)) % 0.82/1.07 (define @t417 () (tptp.hAPP @t415 @t269)) % 0.82/1.07 (define @t418 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t417 @t416)) % 0.82/1.07 (define @t419 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t414)) % 0.82/1.07 (define @t420 () (@list @t91 @t269 @t414)) % 0.82/1.07 (define @t421 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t30)) % 0.82/1.07 (define @t422 () (tptp.class_Groups_Ogroup__add @t31)) % 0.82/1.07 (define @t423 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t139 @t138)) % 0.82/1.07 (define @t424 () (= @t423 (tptp.c_Groups_Ominus__class_Ominus @t31 @t204 @t385))) % 0.82/1.07 (define @t425 () (tptp.class_Groups_Oab__group__add @t31)) % 0.82/1.07 (define @t426 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t138)) % 0.82/1.07 (define @t427 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t139)) % 0.82/1.07 (define @t428 () (= @t139 @t426)) % 0.82/1.07 (define @t429 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t132)) % 0.82/1.07 (define @t430 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t44 @t52)) % 0.82/1.07 (define @t431 () (tptp.class_Rings_Ocomm__ring__1 @t31)) % 0.82/1.07 (define @t432 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t30 @t132)) % 0.82/1.07 (define @t433 () (= @t432 (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t429))) % 0.82/1.07 (define @t434 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t132 @t30)) % 0.82/1.07 (define @t435 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t432)) % 0.82/1.07 (define @t436 () (= @t423 @t40)) % 0.82/1.07 (define @t437 () (tptp.class_Groups_Oordered__ab__group__add @t31)) % 0.82/1.07 (define @t438 () (tptp.hAPP @t35 @t430)) % 0.82/1.07 (define @t439 () (tptp.class_Rings_Oidom @t31)) % 0.82/1.07 (define @t440 () (tptp.hAPP @t35 @t421)) % 0.82/1.07 (define @t441 () (tptp.class_Rings_Oring @t31)) % 0.82/1.07 (define @t442 () (tptp.hAPP @t36 @t429)) % 0.82/1.07 (define @t443 () (tptp.hAPP @t440 @t132)) % 0.82/1.07 (define @t444 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t44)) % 0.82/1.07 (define @t445 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t145)) % 0.82/1.07 (define @t446 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t162)) % 0.82/1.07 (define @t447 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t432)) % 0.82/1.07 (define @t448 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t421) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t59))) % 0.82/1.07 (define @t449 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t76)) % 0.82/1.07 (define @t450 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t76 @t263) @t40)) % 0.82/1.07 (define @t451 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t421 @t30) @t40)) % 0.82/1.07 (define @t452 () (@var "V_e_2" $$unsorted)) % 0.82/1.07 (define @t453 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP (tptp.hAPP @t35 @t423) @t452) @t204)) % 0.82/1.07 (define @t454 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t241 @t452) @t385)) % 0.82/1.07 (define @t455 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t150 @t452) @t204)) % 0.82/1.07 (define @t456 () (= @t455 @t454)) % 0.82/1.07 (define @t457 () (@list @t385 @t138 @t204 @t452 @t139 @t31)) % 0.82/1.07 (define @t458 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP (tptp.hAPP @t35 (tptp.c_Groups_Ominus__class_Ominus @t31 @t138 @t139)) @t452) @t385)) % 0.82/1.07 (define @t459 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t52 @t132)) % 0.82/1.07 (define @t460 () (tptp.hAPP @t35 (tptp.c_Groups_Ominus__class_Ominus @t31 @t44 @t30))) % 0.82/1.07 (define @t461 () (tptp.hAPP @t460 @t132)) % 0.82/1.07 (define @t462 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t68 @t145)) % 0.82/1.07 (define @t463 () (@list @t132 @t30 @t52 @t44 @t31)) % 0.82/1.07 (define @t464 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t38)) % 0.82/1.07 (define @t465 () (tptp.c_Orderings_Oord__class_Oless @t31 @t455 @t454)) % 0.82/1.07 (define @t466 () (tptp.class_Rings_Oordered__ring @t31)) % 0.82/1.07 (define @t467 () (tptp.class_Rings_Oring__1 @t31)) % 0.82/1.07 (define @t468 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t59 @t134)) % 0.82/1.07 (define @t469 () (@var "V_P_2" $$unsorted)) % 0.82/1.07 (define @t470 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t469 @t91) @t269))) % 0.82/1.07 (define @t471 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t91 @t269)) % 0.82/1.07 (define @t472 () (@var "V_t" $$unsorted)) % 0.82/1.07 (define @t473 () (= @t98 @t29)) % 0.82/1.07 (define @t474 () (not @t473)) % 0.82/1.07 (define @t475 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t98)) % 0.82/1.07 (define @t476 () (@list @t98 @t29)) % 0.82/1.07 (define @t477 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t52)) % 0.82/1.07 (define @t478 () (not @t270)) % 0.82/1.07 (define @t479 () (@list @t91 @t269)) % 0.82/1.07 (define @t480 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t91 @t414)) % 0.82/1.07 (define @t481 () (@list @t91 @t414 @t269)) % 0.82/1.07 (define @t482 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t414 @t91)) % 0.82/1.07 (define @t483 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t414 @t269)) % 0.82/1.07 (define @t484 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t402)) % 0.82/1.07 (define @t485 () (@list @t402 @t29 @t98)) % 0.82/1.07 (define @t486 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t52 @t128)) % 0.82/1.07 (define @t487 () (@list @t128 @t52 @t44)) % 0.82/1.07 (define @t488 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t98)) % 0.82/1.07 (define @t489 () (tptp.hAPP @t106 @t29)) % 0.82/1.07 (define @t490 () (tptp.hAPP @t489 @t402)) % 0.82/1.07 (define @t491 () (tptp.hAPP @t489 @t98)) % 0.82/1.07 (define @t492 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t91)) % 0.82/1.07 (define @t493 () (@list @t91)) % 0.82/1.07 (define @t494 () (= @t269 @t28)) % 0.82/1.07 (define @t495 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t269 @t91)) % 0.82/1.07 (define @t496 () (@list @t98)) % 0.82/1.07 (define @t497 () (tptp.hAPP @t106 @t269)) % 0.82/1.07 (define @t498 () (tptp.hAPP @t497 @t91)) % 0.82/1.07 (define @t499 () (= @t414 @t28)) % 0.82/1.07 (define @t500 () (= @t417 @t416)) % 0.82/1.07 (define @t501 () (or @t270 @t499)) % 0.82/1.07 (define @t502 () (tptp.hAPP @t106 @t91)) % 0.82/1.07 (define @t503 () (tptp.hAPP @t502 @t414)) % 0.82/1.07 (define @t504 () (tptp.hAPP @t497 @t414)) % 0.82/1.07 (define @t505 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t100 @t401)) % 0.82/1.07 (define @t506 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t402 @t29)) % 0.82/1.07 (define @t507 () (@var "V_l" $$unsorted)) % 0.82/1.07 (define @t508 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t402 @t507)) % 0.82/1.07 (define @t509 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t401 @t507)) % 0.82/1.07 (define @t510 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t100 @t402)) % 0.82/1.07 (define @t511 () (@list @t507 @t402 @t401 @t100)) % 0.82/1.07 (define @t512 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t401 @t402)) % 0.82/1.07 (define @t513 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t401)) % 0.82/1.07 (define @t514 () (@list @t98 @t401 @t100)) % 0.82/1.07 (define @t515 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t401 @t98)) % 0.82/1.07 (define @t516 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t401 @t100)) % 0.82/1.07 (define @t517 () (tptp.hAPP @t409 @t50)) % 0.82/1.07 (define @t518 () (tptp.hAPP @t411 @t50)) % 0.82/1.07 (define @t519 () (tptp.hAPP @t107 @t402)) % 0.82/1.07 (define @t520 () (tptp.hAPP @t403 @t29)) % 0.82/1.07 (define @t521 () (tptp.hAPP @t403 @t98)) % 0.82/1.07 (define @t522 () (@list @t29 @t98 @t402)) % 0.82/1.07 (define @t523 () (= @t91 @t21)) % 0.82/1.07 (define @t524 () (= @t269 @t21)) % 0.82/1.07 (define @t525 () (and @t524 @t523)) % 0.82/1.07 (define @t526 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t269)) % 0.82/1.07 (define @t527 () (and @t419 @t413)) % 0.82/1.07 (define @t528 () (@var "B_z" $$unsorted)) % 0.82/1.07 (define @t529 () (tptp.hAPP @t323 @t528)) % 0.82/1.07 (define @t530 () (@list @t528)) % 0.82/1.07 (define @t531 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t128)) % 0.82/1.07 (define @t532 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t486)) % 0.82/1.07 (define @t533 () (@list @t52 @t128 @t44)) % 0.82/1.07 (define @t534 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t29)) % 0.82/1.07 (define @t535 () (= @t534 @t28)) % 0.82/1.07 (define @t536 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t507 @t98)) % 0.82/1.07 (define @t537 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t507 @t29)) % 0.82/1.07 (define @t538 () (@list @t507 @t29 @t98)) % 0.82/1.07 (define @t539 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t401 @t402)) % 0.82/1.07 (define @t540 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t402)) % 0.82/1.07 (define @t541 () (@list @t29 @t402 @t98)) % 0.82/1.07 (define @t542 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t402 @t98)) % 0.82/1.07 (define @t543 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t100 @t401)) % 0.82/1.07 (define @t544 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t543 @t402)) % 0.82/1.07 (define @t545 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t98)) % 0.82/1.07 (define @t546 () (@list @t269 @t91)) % 0.82/1.07 (define @t547 () (tptp.hAPP @t324 tptp.c_Complex_Oii)) % 0.82/1.07 (define @t548 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t534) @t98)) % 0.82/1.07 (define @t549 () (not @t99)) % 0.82/1.07 (define @t550 () (@var "V_j_2" $$unsorted)) % 0.82/1.07 (define @t551 () (@var "V_i_2" $$unsorted)) % 0.82/1.07 (define @t552 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t551 @t414)) % 0.82/1.07 (define @t553 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t550 @t414)) % 0.82/1.07 (define @t554 () (@list @t414 @t550 @t551)) % 0.82/1.07 (define @t555 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t76)) % 0.82/1.07 (define @t556 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t76 @t263)) % 0.82/1.07 (define @t557 () (@var "B_d" $$unsorted)) % 0.82/1.07 (define @t558 () (tptp.hBOOL (tptp.hAPP @t469 @t557))) % 0.82/1.07 (define @t559 () (= @t139 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t138 @t557))) % 0.82/1.07 (define @t560 () (@list @t557)) % 0.82/1.07 (define @t561 () (tptp.hBOOL (tptp.hAPP @t469 @t28))) % 0.82/1.07 (define @t562 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t139 @t138)) % 0.82/1.07 (define @t563 () (tptp.hBOOL (tptp.hAPP @t469 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t139 @t138)))) % 0.82/1.07 (define @t564 () (@list @t138 @t139 @t469)) % 0.82/1.07 (define @t565 () (@var "V_one_2" $$unsorted)) % 0.82/1.07 (define @t566 () (@var "V_times_2" $$unsorted)) % 0.82/1.07 (define @t567 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t31 @t565 @t566) @t139)) % 0.82/1.07 (define @t568 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 0.82/1.07 (define @t569 () (tptp.hAPP @t568 @t44)) % 0.82/1.07 (define @t570 () (tptp.hAPP @t569 @t52)) % 0.82/1.07 (define @t571 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 0.82/1.07 (define @t572 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t21)) % 0.82/1.07 (define @t573 () (not @t399)) % 0.82/1.07 (define @t574 () (tptp.hAPP @t94 @t307)) % 0.82/1.07 (define @t575 () (tptp.hAPP @t574 @t98)) % 0.82/1.07 (define @t576 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t21)) % 0.82/1.07 (define @t577 () (tptp.hAPP @t32 @t98)) % 0.82/1.07 (define @t578 () (tptp.hAPP @t577 @t29)) % 0.82/1.07 (define @t579 () (@list @t44 @t29 @t31)) % 0.82/1.07 (define @t580 () (@var "B_r" $$unsorted)) % 0.82/1.07 (define @t581 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t30)) % 0.82/1.07 (define @t582 () (@list @t30 @t29)) % 0.82/1.07 (define @t583 () (@var "B_y" $$unsorted)) % 0.82/1.07 (define @t584 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 0.82/1.07 (define @t585 () (= @t584 @t22)) % 0.82/1.07 (define @t586 () (@list @t132 @t30)) % 0.82/1.07 (define @t587 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 0.82/1.07 (define @t588 () (tptp.hAPP @t571 @t128)) % 0.82/1.07 (define @t589 () (tptp.hAPP @t571 @t129)) % 0.82/1.07 (define @t590 () (tptp.hAPP @t588 @t129)) % 0.82/1.07 (define @t591 () (tptp.hAPP @t589 @t123)) % 0.82/1.07 (define @t592 () (tptp.hAPP @t589 @t125)) % 0.82/1.07 (define @t593 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t125 @t123)) % 0.82/1.07 (define @t594 () (@list @t123 @t125 @t129)) % 0.82/1.07 (define @t595 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t125 @t123)) % 0.82/1.07 (define @t596 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t128)) % 0.82/1.07 (define @t597 () (tptp.hAPP @t571 @t123)) % 0.82/1.07 (define @t598 () (tptp.hAPP @t571 @t125)) % 0.82/1.07 (define @t599 () (tptp.hAPP @t597 @t129)) % 0.82/1.07 (define @t600 () (tptp.hAPP @t598 @t129)) % 0.82/1.07 (define @t601 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 0.82/1.07 (define @t602 () (tptp.hAPP @t571 @t402)) % 0.82/1.07 (define @t603 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t601 @t402)) % 0.82/1.07 (define @t604 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t100 @t401)) % 0.82/1.07 (define @t605 () (tptp.tc_Polynomial_Opoly @t31)) % 0.82/1.07 (define @t606 () (tptp.c_Groups_Ozero__class_Ozero @t605)) % 0.82/1.07 (define @t607 () (@var "V_pb_2" $$unsorted)) % 0.82/1.07 (define @t608 () (= @t607 @t606)) % 0.82/1.07 (define @t609 () (@list @t607 @t31)) % 0.82/1.07 (define @t610 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_q____)) % 0.82/1.07 (define @t611 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t326 (tptp.c_Polynomial_Omonom tptp.tc_Complex_Ocomplex tptp.v_a____ (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat tptp.v_k____ @t21)))) % 0.82/1.07 (define @t612 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 0.82/1.07 (define @t613 () (tptp.hAPP @t612 tptp.v_c____)) % 0.82/1.07 (define @t614 () (= @t613 @t90)) % 0.82/1.07 (define @t615 () (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t192)) % 0.82/1.07 (define @t616 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t30)) % 0.82/1.07 (define @t617 () (tptp.c_Nat_OSuc @t28)) % 0.82/1.07 (define @t618 () (tptp.c_Nat_OSuc @t617)) % 0.82/1.07 (define @t619 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t612 @t395))) % 0.82/1.07 (define @t620 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q____)) % 0.82/1.07 (define @t621 () (tptp.hAPP @t620 @t90)) % 0.82/1.07 (define @t622 () (tptp.hAPP @t612 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_c____ @t3))) % 0.82/1.07 (define @t623 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t621)) % 0.82/1.07 (define @t624 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_s____) @t528))) % 0.82/1.07 (define @t625 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t528) @t23)) % 0.82/1.07 (define @t626 () (tptp.c_Nat_OSuc @t29)) % 0.82/1.07 (define @t627 () (tptp.c_Nat_OSuc @t98)) % 0.82/1.07 (define @t628 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t627 @t626)) % 0.82/1.07 (define @t629 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t611)) % 0.82/1.07 (define @t630 () (@var "V_l_2" $$unsorted)) % 0.82/1.07 (define @t631 () (@list @t630 @t414)) % 0.82/1.07 (define @t632 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t388 @t282)) % 0.82/1.07 (define @t633 () (@list @t282 @t388)) % 0.82/1.07 (define @t634 () (tptp.c_Nat_OSuc @t401)) % 0.82/1.07 (define @t635 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t401 @t402)) % 0.82/1.07 (define @t636 () (tptp.c_Nat_OSuc @t635)) % 0.82/1.07 (define @t637 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t402 @t401)) % 0.82/1.07 (define @t638 () (@list @t98 @t401 @t402)) % 0.82/1.07 (define @t639 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t128 @t129)) % 0.82/1.07 (define @t640 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t129)) % 0.82/1.07 (define @t641 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t128 @t640)) % 0.82/1.07 (define @t642 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t128 @t129)) % 0.82/1.07 (define @t643 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t627 @t29)) % 0.82/1.07 (define @t644 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t98)) % 0.82/1.07 (define @t645 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t30 @t132)) % 0.82/1.07 (define @t646 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t132)) % 0.82/1.07 (define @t647 () (tptp.hAPP @t191 @t626)) % 0.82/1.07 (define @t648 () (tptp.hAPP @t33 @t626)) % 0.82/1.07 (define @t649 () (@list @t132 @t29 @t30 @t31)) % 0.82/1.07 (define @t650 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t30)) % 0.82/1.07 (define @t651 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t259)) % 0.82/1.07 (define @t652 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t269 @t91)) % 0.82/1.07 (define @t653 () (tptp.hAPP @t106 (tptp.c_Nat_OSuc @t414))) % 0.82/1.07 (define @t654 () (tptp.hAPP @t653 @t91)) % 0.82/1.07 (define @t655 () (tptp.hAPP @t653 @t269)) % 0.82/1.07 (define @t656 () (@list @t29 @t100)) % 0.82/1.07 (define @t657 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t347 @t377)) % 0.82/1.07 (define @t658 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t247 @t351)) % 0.82/1.07 (define @t659 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t160 @t314)) % 0.82/1.07 (define @t660 () (tptp.class_Groups_Oordered__ab__semigroup__add @t31)) % 0.82/1.07 (define @t661 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t139 @t138)) % 0.82/1.07 (define @t662 () (@var "V_nat_H_1" $$unsorted)) % 0.82/1.07 (define @t663 () (@var "V_nat_H" $$unsorted)) % 0.82/1.07 (define @t664 () (tptp.c_Nat_OSuc @t91)) % 0.82/1.07 (define @t665 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t664 @t269)) % 0.82/1.07 (define @t666 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t269 @t664)) % 0.82/1.07 (define @t667 () (tptp.c_Nat_OSuc @t269)) % 0.82/1.07 (define @t668 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t98 @t626)) % 0.82/1.07 (define @t669 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t29)) % 0.82/1.07 (define @t670 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t627 @t29)) % 0.82/1.07 (define @t671 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t91 @t667)) % 0.82/1.07 (define @t672 () (= @t671 (= @t91 @t269))) % 0.82/1.07 (define @t673 () (@var "V_nat_H_2" $$unsorted)) % 0.82/1.07 (define @t674 () (@var "V_nat_2" $$unsorted)) % 0.82/1.07 (define @t675 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t626)) % 0.82/1.07 (define @t676 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t129 @t128)) % 0.82/1.07 (define @t677 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t100 @t401)) % 0.82/1.07 (define @t678 () (@var "V_z_H" $$unsorted)) % 0.82/1.07 (define @t679 () (@var "V_w_H" $$unsorted)) % 0.82/1.07 (define @t680 () (@list @t128 @t129)) % 0.82/1.07 (define @t681 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t587 @t128)) % 0.82/1.07 (define @t682 () (@list @t282)) % 0.82/1.07 (define @t683 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t388 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t282 @t587))) % 0.82/1.07 (define @t684 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t627 @t29)) % 0.82/1.07 (define @t685 () (tptp.c_Nat_OSuc @t100)) % 0.82/1.07 (define @t686 () (or @t413 @t270)) % 0.82/1.07 (define @t687 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t626)) % 0.82/1.07 (define @t688 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t627 @t29)) % 0.82/1.07 (define @t689 () (tptp.c_Nat_OSuc @t277)) % 0.82/1.07 (define @t690 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t44 @t52)) % 0.82/1.07 (define @t691 () (= @t76 @t263)) % 0.82/1.07 (define @t692 () (not @t691)) % 0.82/1.07 (define @t693 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t76 @t263)) % 0.82/1.07 (define @t694 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t44 @t486)) % 0.82/1.07 (define @t695 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t402 @t29)) % 0.82/1.07 (define @t696 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t540 @t29)) % 0.82/1.07 (define @t697 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t402 @t507)) % 0.82/1.07 (define @t698 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t100 @t401)) % 0.82/1.07 (define @t699 () (@var "B_k" $$unsorted)) % 0.82/1.07 (define @t700 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t269 @t699)) % 0.82/1.07 (define @t701 () (@list @t699)) % 0.82/1.07 (define @t702 () (tptp.hAPP @t107 @t98)) % 0.82/1.07 (define @t703 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t91 @t414)) % 0.82/1.07 (define @t704 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t269 @t414)) % 0.82/1.07 (define @t705 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t414 @t91)) % 0.82/1.07 (define @t706 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t414 @t269)) % 0.82/1.07 (define @t707 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t30 @t38)) % 0.82/1.07 (define @t708 () (tptp.c_Polynomial_Opoly @t31 @t307)) % 0.82/1.07 (define @t709 () (tptp.hAPP @t708 @t44)) % 0.82/1.07 (define @t710 () (tptp.c_Groups_Otimes__class_Otimes @t605)) % 0.82/1.07 (define @t711 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t138 @t40)) % 0.82/1.07 (define @t712 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t139 @t40)) % 0.82/1.07 (define @t713 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t138)) % 0.82/1.07 (define @t714 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t139)) % 0.82/1.07 (define @t715 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t145)) % 0.82/1.07 (define @t716 () (tptp.class_Rings_Oordered__cancel__semiring @t31)) % 0.82/1.07 (define @t717 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t145 @t40)) % 0.82/1.07 (define @t718 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t132 @t40)) % 0.82/1.07 (define @t719 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t30 @t40)) % 0.82/1.07 (define @t720 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t175 @t174)) % 0.82/1.07 (define @t721 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t160)) % 0.82/1.07 (define @t722 () (tptp.class_Rings_Oordered__semiring @t31)) % 0.82/1.07 (define @t723 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t212 @t211)) % 0.82/1.07 (define @t724 () (=> @t645 (=> @t721 @t723))) % 0.82/1.07 (define @t725 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t160 @t40)) % 0.82/1.07 (define @t726 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t132 @t30)) % 0.82/1.07 (define @t727 () (tptp.hAPP @t164 @t314)) % 0.82/1.07 (define @t728 () (=> @t721 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t175 @t727))) % 0.82/1.07 (define @t729 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t132 @t247)) % 0.82/1.07 (define @t730 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t132 @t160)) % 0.82/1.07 (define @t731 () (tptp.hAPP @t67 @t308)) % 0.82/1.07 (define @t732 () (tptp.hAPP @t291 (tptp.c_Nat_OSuc @t306))) % 0.82/1.07 (define @t733 () (@list @t306 @t44 @t31)) % 0.82/1.07 (define @t734 () (@var "B_j" $$unsorted)) % 0.82/1.07 (define @t735 () (@var "B_m" $$unsorted)) % 0.82/1.07 (define @t736 () (@list @t735)) % 0.82/1.07 (define @t737 () (= @t91 @t617)) % 0.82/1.07 (define @t738 () (= @t269 @t617)) % 0.82/1.07 (define @t739 () (or (and @t738 @t92) (and @t494 @t737))) % 0.82/1.07 (define @t740 () (@list @t98 @t100)) % 0.82/1.07 (define @t741 () (@list @t160 @t132 @t30)) % 0.82/1.07 (define @t742 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t635 @t100)) % 0.82/1.07 (define @t743 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t516 @t402)) % 0.82/1.07 (define @t744 () (@list @t100 @t401 @t402)) % 0.82/1.07 (define @t745 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t100 @t635)) % 0.82/1.07 (define @t746 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t505 @t402)) % 0.82/1.07 (define @t747 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t550 @t551)) % 0.82/1.07 (define @t748 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t551 @t550)) % 0.82/1.07 (define @t749 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t44)) % 0.82/1.07 (define @t750 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t231 @t230)) % 0.82/1.07 (define @t751 () (tptp.c_Orderings_Oord__class_Oless @t31 @t175 @t727)) % 0.82/1.07 (define @t752 () (=> @t721 @t751)) % 0.82/1.07 (define @t753 () (=> @t721 @t220)) % 0.82/1.07 (define @t754 () (=> @t218 @t753)) % 0.82/1.07 (define @t755 () (tptp.class_Rings_Olinordered__semiring @t31)) % 0.82/1.07 (define @t756 () (=> @t213 @t753)) % 0.82/1.07 (define @t757 () (=> @t219 @t645)) % 0.82/1.07 (define @t758 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t52 @t38)) % 0.82/1.07 (define @t759 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t52)) % 0.82/1.07 (define @t760 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t44)) % 0.82/1.07 (define @t761 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t455 @t454)) % 0.82/1.07 (define @t762 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t263)) % 0.82/1.07 (define @t763 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t134 @t59)) % 0.82/1.07 (define @t764 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t59 @t134)) % 0.82/1.07 (define @t765 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t76 @t40)) % 0.82/1.07 (define @t766 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t617 @t98)) % 0.82/1.07 (define @t767 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t617 @t29)) % 0.82/1.07 (define @t768 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t417 @t416)) % 0.82/1.07 (define @t769 () (=> @t419 @t652)) % 0.82/1.07 (define @t770 () (tptp.hAPP @t25 @t282)) % 0.82/1.07 (define @t771 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t132)) % 0.82/1.07 (define @t772 () (@var "V_u_2" $$unsorted)) % 0.82/1.07 (define @t773 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 @t747) @t772) @t91)) % 0.82/1.07 (define @t774 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 @t550) @t772) @t91)) % 0.82/1.07 (define @t775 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 @t551) @t772) @t269)) % 0.82/1.07 (define @t776 () (= @t775 @t774)) % 0.82/1.07 (define @t777 () (@list @t91 @t269 @t772 @t550 @t551)) % 0.82/1.07 (define @t778 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t518 @t98) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t517 @t29))) % 0.82/1.07 (define @t779 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t775 @t774)) % 0.82/1.07 (define @t780 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t551 @t550)) @t772) @t269)) % 0.82/1.07 (define @t781 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t550 @t551)) % 0.82/1.07 (define @t782 () (@list @t91 @t269 @t772 @t551 @t550)) % 0.82/1.07 (define @t783 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t58 @t771)) % 0.82/1.07 (define @t784 () (@var "V_v" $$unsorted)) % 0.82/1.07 (define @t785 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP (tptp.hAPP @t35 @t50) @t44) (tptp.hAPP (tptp.hAPP @t35 @t784) @t52))) % 0.82/1.07 (define @t786 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t50 @t784) @t38)) % 0.82/1.07 (define @t787 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t784)) % 0.82/1.07 (define @t788 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t50)) % 0.82/1.07 (define @t789 () (@list @t784 @t50 @t52 @t30 @t44 @t31)) % 0.82/1.07 (define @t790 () (tptp.c_Nat_OSuc @t576)) % 0.82/1.07 (define @t791 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t775 @t774)) % 0.82/1.07 (define @t792 () (@var "B_q" $$unsorted)) % 0.82/1.07 (define @t793 () (forall @t6 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t792) @t3) @t622))) % 0.82/1.07 (define @t794 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t792)) % 0.82/1.07 (define @t795 () (= @t794 @t584)) % 0.82/1.07 (define @t796 () (@list @t792)) % 0.82/1.07 (define @t797 () (tptp.c_Polynomial_Osmult tptp.tc_Complex_Ocomplex (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex @t621) tptp.v_q____)) % 0.82/1.07 (define @t798 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t797)) % 0.82/1.07 (define @t799 () (tptp.hAPP @t798 @t90)) % 0.82/1.07 (define @t800 () (tptp.hAPP @t798 @t528)) % 0.82/1.07 (define @t801 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t797)) % 0.82/1.07 (define @t802 () (@list @t129)) % 0.82/1.07 (define @t803 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t129 @t128)) % 0.82/1.07 (define @t804 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t128 @t129)) % 0.82/1.07 (define @t805 () (= @t128 @t129)) % 0.82/1.07 (define @t806 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t129 @t128)) % 0.82/1.07 (define @t807 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t128 @t129)) % 0.82/1.07 (define @t808 () (@list @t3 @t583)) % 0.82/1.07 (define @t809 () (@var "T_b" $$unsorted)) % 0.82/1.07 (define @t810 () (= @t307 @t606)) % 0.82/1.07 (define @t811 () (tptp.c_Polynomial_OpCons @t31 @t30 @t307)) % 0.82/1.07 (define @t812 () (tptp.c_Polynomial_Osmult @t31 @t160 @t307)) % 0.82/1.07 (define @t813 () (tptp.class_Rings_Ocomm__semiring__0 @t31)) % 0.82/1.07 (define @t814 () (@list @t30 @t307 @t160 @t31)) % 0.82/1.07 (define @t815 () (forall @t530 (=> @t625 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t624 @t735)))) % 0.82/1.07 (define @t816 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t735)) % 0.82/1.07 (define @t817 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t607)) % 0.82/1.07 (define @t818 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 @t66)) % 0.82/1.07 (define @t819 () (= @t30 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t66 (tptp.hAPP (tptp.hAPP @t571 @t30) @t306)))) % 0.82/1.07 (define @t820 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t601 @t30)) % 0.82/1.07 (define @t821 () (@list @t306 @t66 @t30)) % 0.82/1.07 (define @t822 () (@var "V_q_H" $$unsorted)) % 0.82/1.07 (define @t823 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t822 @t306)) % 0.82/1.07 (define @t824 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t183 @t132)) % 0.82/1.07 (define @t825 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t601 @t183)) % 0.82/1.07 (define @t826 () (@var "V_r_H" $$unsorted)) % 0.82/1.07 (define @t827 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 @t826)) % 0.82/1.07 (define @t828 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t66 @t132)) % 0.82/1.07 (define @t829 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t571 @t183) @t822) @t826)) % 0.82/1.07 (define @t830 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t829 @t601)) % 0.82/1.07 (define @t831 () (tptp.hAPP @t571 @t132)) % 0.82/1.07 (define @t832 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t831 @t306) @t66)) % 0.82/1.07 (define @t833 () (= @t832 @t829)) % 0.82/1.07 (define @t834 () (@list @t826 @t822 @t183 @t66 @t306 @t132)) % 0.82/1.07 (define @t835 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t306 @t822)) % 0.82/1.07 (define @t836 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t831 @t822) @t826) @t832)) % 0.82/1.07 (define @t837 () (@list @t66 @t306 @t826 @t822 @t132)) % 0.82/1.07 (define @t838 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t826 @t183)) % 0.82/1.07 (define @t839 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 @t829)) % 0.82/1.07 (define @t840 () (@list @t826 @t822 @t183)) % 0.82/1.07 (define @t841 () (tptp.hAPP @t710 @t307)) % 0.82/1.07 (define @t842 () (tptp.hAPP @t841 @t306)) % 0.82/1.07 (define @t843 () (tptp.c_Polynomial_OpCons @t31 @t40 @t842)) % 0.82/1.07 (define @t844 () (tptp.c_Polynomial_Osmult @t31 @t30 @t306)) % 0.82/1.07 (define @t845 () (@list @t306 @t307 @t30 @t31)) % 0.82/1.07 (define @t846 () (tptp.c_Polynomial_Osmult @t31 @t30 @t307)) % 0.82/1.07 (define @t847 () (@list @t306 @t30 @t307 @t31)) % 0.82/1.07 (define @t848 () (@list @t307 @t31)) % 0.82/1.07 (define @t849 () (@list @t306 @t31)) % 0.82/1.07 (define @t850 () (@var "V_qa_2" $$unsorted)) % 0.82/1.07 (define @t851 () (= @t607 @t850)) % 0.82/1.07 (define @t852 () (tptp.c_Polynomial_Opoly @t31 @t607)) % 0.82/1.07 (define @t853 () (and (tptp.class_Int_Oring__char__0 @t31) @t439)) % 0.82/1.07 (define @t854 () (tptp.c_Polynomial_OpCons @t31 @t139 @t607)) % 0.82/1.07 (define @t855 () (tptp.c_Groups_Ouminus__class_Ouminus @t605 @t846)) % 0.82/1.07 (define @t856 () (tptp.c_Groups_Ouminus__class_Ouminus @t605 @t307)) % 0.82/1.07 (define @t857 () (tptp.class_Rings_Ocomm__ring @t31)) % 0.82/1.07 (define @t858 () (@list @t307 @t30 @t31)) % 0.82/1.07 (define @t859 () (tptp.c_Groups_Ominus__class_Ominus @t605 @t307 @t306)) % 0.82/1.07 (define @t860 () (tptp.c_Polynomial_Omonom @t31 @t139 @t91)) % 0.82/1.07 (define @t861 () (tptp.c_Groups_Oone__class_Oone @t605)) % 0.82/1.07 (define @t862 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t306) @t44)) % 0.82/1.07 (define @t863 () (@list @t44 @t306 @t307 @t31)) % 0.82/1.07 (define @t864 () (tptp.c_Polynomial_OpCons @t31 @t132 @t306)) % 0.82/1.07 (define @t865 () (@list @t306 @t132 @t307 @t30 @t31)) % 0.82/1.07 (define @t866 () (tptp.c_Polynomial_Osmult @t31 @t132 @t307)) % 0.82/1.07 (define @t867 () (@list @t307 @t132 @t30 @t31)) % 0.82/1.07 (define @t868 () (tptp.c_Power_Opower__class_Opower @t605)) % 0.82/1.07 (define @t869 () (tptp.tc_Polynomial_Opoly @t809)) % 0.82/1.07 (define @t870 () (tptp.c_Polynomial_Opoly @t31 @t606)) % 0.82/1.07 (define @t871 () (tptp.c_Polynomial_Omonom @t31 @t132 @t29)) % 0.82/1.07 (define @t872 () (tptp.c_Polynomial_Omonom @t31 @t30 @t29)) % 0.82/1.07 (define @t873 () (tptp.c_Groups_Oplus__class_Oplus @t605 @t307 @t306)) % 0.82/1.07 (define @t874 () (tptp.c_Polynomial_Osmult @t31 @t30 @t842)) % 0.82/1.07 (define @t875 () (tptp.hAPP @t710 @t306)) % 0.82/1.07 (define @t876 () (@list @t607 @t139 @t31)) % 0.82/1.07 (define @t877 () (tptp.c_Polynomial_Osmult @t31 @t139 @t607)) % 0.82/1.07 (define @t878 () (tptp.c_Polynomial_OpCons @t31 @t38 @t606)) % 0.82/1.07 (define @t879 () (@list @t44 @t307 @t30 @t31)) % 0.82/1.07 (define @t880 () (tptp.c_Polynomial_OpCons @t31 @t30 @t606)) % 0.82/1.07 (define @t881 () (tptp.hAPP @t708 @t160)) % 0.82/1.07 (define @t882 () (tptp.c_Polynomial_Osynthetic__div @t31 @t307 @t160)) % 0.82/1.07 (define @t883 () (tptp.c_Polynomial_OpCons @t31 @t881 @t882)) % 0.82/1.07 (define @t884 () (@var "B_n" $$unsorted)) % 0.82/1.07 (define @t885 () (@list @t884)) % 0.82/1.07 (define @t886 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 @t44)) % 0.82/1.07 (define @t887 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 @t52)) % 0.82/1.07 (define @t888 () (tptp.c_Polynomial_Opcompose @t31 @t307 @t306)) % 0.82/1.07 (define @t889 () (@var "B_a" $$unsorted)) % 0.82/1.07 (define @t890 () (tptp.class_Orderings_Opreorder @t31)) % 0.82/1.07 (define @t891 () (tptp.c_Polynomial_Oorder @t31 @t30 @t307)) % 0.82/1.07 (define @t892 () (tptp.hAPP @t868 (tptp.c_Polynomial_OpCons @t31 @t421 @t878))) % 0.82/1.07 (define @t893 () (not (tptp.c_Rings_Odvd__class_Odvd @t605 (tptp.hAPP @t892 (tptp.c_Nat_OSuc @t891)) @t307))) % 0.82/1.07 (define @t894 () (tptp.c_Rings_Odvd__class_Odvd @t605 (tptp.hAPP @t892 @t891) @t307)) % 0.82/1.07 (define @t895 () (not @t810)) % 0.82/1.07 (define @t896 () (@list @t30 @t307 @t31)) % 0.82/1.07 (define @t897 () (tptp.c_Rings_Odvd__class_Odvd @t605 @t307 @t306)) % 0.82/1.07 (define @t898 () (tptp.c_Rings_Odvd__class_Odvd @t605 @t307 @t844)) % 0.82/1.07 (define @t899 () (tptp.c_Rings_Odvd__class_Odvd @t605 @t846 @t306)) % 0.82/1.07 (define @t900 () (@list @t30 @t306 @t307 @t31)) % 0.82/1.07 (define @t901 () (tptp.c_Rings_Odvd__class_Odvd @t605 @t607 @t850)) % 0.82/1.07 (define @t902 () (not @t149)) % 0.82/1.07 (define @t903 () (@list @t850 @t607 @t139 @t31)) % 0.82/1.07 (define @t904 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t132 @t160)) % 0.82/1.07 (define @t905 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t145 @t160)) % 0.82/1.07 (define @t906 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t160)) % 0.82/1.07 (define @t907 () (tptp.class_Rings_Odvd @t31)) % 0.82/1.07 (define @t908 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t132)) % 0.82/1.07 (define @t909 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t174)) % 0.82/1.07 (define @t910 () (or (= @t204 @t40) (tptp.c_Rings_Odvd__class_Odvd @t31 @t139 @t138))) % 0.82/1.07 (define @t911 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t44 @t52)) % 0.82/1.07 (define @t912 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t76 @t263)) % 0.82/1.07 (define @t913 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t52 @t44)) % 0.82/1.07 (define @t914 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t44 @t52)) % 0.82/1.07 (define @t915 () (tptp.class_Orderings_Olinorder @t31)) % 0.82/1.07 (define @t916 () (tptp.tc_fun @t31 @t809)) % 0.82/1.07 (define @t917 () (tptp.c_Orderings_Oord__class_Oless__eq @t916 @t2 @t1)) % 0.82/1.07 (define @t918 () (tptp.class_Orderings_Oord @t809)) % 0.82/1.07 (define @t919 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t128 @t52)) % 0.82/1.07 (define @t920 () (tptp.class_Orderings_Oorder @t31)) % 0.82/1.07 (define @t921 () (@list @t128 @t44 @t52 @t31)) % 0.82/1.07 (define @t922 () (@list @t44 @t52 @t31)) % 0.82/1.07 (define @t923 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t52 @t128)) % 0.82/1.07 (define @t924 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t160 @t30)) % 0.82/1.07 (define @t925 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t30 @t160)) % 0.82/1.07 (define @t926 () (tptp.class_Orderings_Oord @t31)) % 0.82/1.07 (define @t927 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t76 @t263)) % 0.82/1.07 (define @t928 () (= @t927 @t691)) % 0.82/1.07 (define @t929 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t263 @t76)) % 0.82/1.07 (define @t930 () (@list @t76 @t263 @t31)) % 0.82/1.07 (define @t931 () (@list @t1 @t2 @t31 @t809)) % 0.82/1.07 (define @t932 () (tptp.c_Orderings_Oord__class_Oless @t31 @t263 @t76)) % 0.82/1.07 (define @t933 () (tptp.c_Orderings_Oord__class_Oless @t31 @t76 @t263)) % 0.82/1.07 (define @t934 () (not @t933)) % 0.82/1.07 (define @t935 () (= @t934 @t691)) % 0.82/1.07 (define @t936 () (not (= @t52 @t44))) % 0.82/1.07 (define @t937 () (tptp.c_Orderings_Oord__class_Oless @t31 @t30 @t160)) % 0.82/1.07 (define @t938 () (tptp.c_Orderings_Oord__class_Oless @t31 @t160 @t30)) % 0.82/1.07 (define @t939 () (tptp.c_Orderings_Oord__class_Oless @t31 @t44 @t128)) % 0.82/1.07 (define @t940 () (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t52 @t128) @t939)) % 0.82/1.07 (define @t941 () (tptp.c_Orderings_Oord__class_Oless @t31 @t128 @t44)) % 0.82/1.07 (define @t942 () (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t128 @t52) @t941)) % 0.82/1.07 (define @t943 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t204)) % 0.82/1.07 (define @t944 () (not @t133)) % 0.82/1.07 (define @t945 () (@var "V_t_2" $$unsorted)) % 0.82/1.07 (define @t946 () (@var "V_D_2" $$unsorted)) % 0.82/1.07 (define @t947 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t29 @t98)) % 0.82/1.07 (define @t948 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t98 @t29)) % 0.82/1.07 (define @t949 () (tptp.hAPP @t571 @t414)) % 0.82/1.07 (define @t950 () (tptp.hAPP @t949 @t269)) % 0.82/1.07 (define @t951 () (@list @t269)) % 0.82/1.07 (define @t952 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t29 @t98)) % 0.82/1.07 (define @t953 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t269 @t91)) % 0.82/1.07 (define @t954 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t417 @t416)) % 0.82/1.07 (define @t955 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t385 @t945)) % 0.82/1.07 (define @t956 () (@list @t945 @t385)) % 0.82/1.07 (define @t957 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t402 @t534)) % 0.82/1.07 (define @t958 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t402 @t29)) % 0.82/1.07 (define @t959 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t402 @t98)) % 0.82/1.07 (define @t960 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t98 @t29)) % 0.82/1.07 (define @t961 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t30 @t132)) % 0.82/1.07 (define @t962 () (@list @t132 @t29 @t30)) % 0.82/1.07 (define @t963 () (@list @t138 @t139 @t91)) % 0.82/1.07 (define @t964 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t263 @t76)) % 0.82/1.07 (define @t965 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t76 @t263)) % 0.82/1.07 (define @t966 () (and @t965 (not @t964))) % 0.82/1.07 (define @t967 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t132 @t30)) % 0.82/1.07 (define @t968 () (and @t961 (not @t967))) % 0.82/1.07 (define @t969 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t44 @t52)) % 0.82/1.07 (define @t970 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t52 @t44)) % 0.82/1.07 (define @t971 () (and @t969 (not @t970))) % 0.82/1.07 (define @t972 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t30 @t160)) % 0.82/1.07 (define @t973 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t132 @t160)) % 0.82/1.07 (define @t974 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t44 @t128)) % 0.82/1.07 (define @t975 () (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t52 @t128)) % 0.82/1.07 (define @t976 () (and @t972 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t160 @t30)))) % 0.82/1.07 (define @t977 () (and @t974 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t128 @t44)))) % 0.82/1.07 (define @t978 () (=> (and @t975 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t128 @t52))) @t977)) % 0.82/1.07 (define @t979 () (@var "V_M_2" $$unsorted)) % 0.82/1.07 (define @t980 () (@var "V_X_2" $$unsorted)) % 0.82/1.07 (define @t981 () (tptp.hAPP @t980 @t979)) % 0.82/1.07 (define @t982 () (tptp.hAPP @t980 @t884)) % 0.82/1.07 (define @t983 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t979 @t884)) % 0.82/1.07 (define @t984 () (@var "B_K" $$unsorted)) % 0.82/1.07 (define @t985 () (tptp.hAPP (tptp.hAPP @t25 (tptp.c_RealVector_Onorm__class_Onorm @t31 @t3)) @t984)) % 0.82/1.07 (define @t986 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t984)) % 0.82/1.07 (define @t987 () (@list @t984)) % 0.82/1.07 (define @t988 () (@var "B_b" $$unsorted)) % 0.82/1.07 (define @t989 () (tptp.c_Nat__Transfer_Otsub @t44 @t52)) % 0.82/1.07 (define @t990 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t52 @t44)) % 0.82/1.07 (define @t991 () (=> @t990 (= @t989 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t44 @t52)))) % 0.82/1.07 (define @t992 () (@list @t44 @t52)) % 0.82/1.07 (define @t993 () (tptp.hAPP @t568 @t402)) % 0.82/1.07 (define @t994 () (tptp.c_Polynomial_Opos__poly @t31 @t306)) % 0.82/1.07 (define @t995 () (tptp.c_Polynomial_Opos__poly @t31 @t307)) % 0.82/1.07 (define @t996 () (@list @t306 @t307 @t31)) % 0.82/1.07 (define @t997 () (tptp.class_Divides_Osemiring__div @t31)) % 0.82/1.07 (define @t998 () (tptp.c_Divides_Odiv__class_Odiv @t31 @t30 @t132)) % 0.82/1.07 (define @t999 () (tptp.c_Divides_Odiv__class_Odiv @t31 @t212 @t211)) % 0.82/1.07 (define @t1000 () (= @t160 @t40)) % 0.82/1.07 (define @t1001 () (not @t1000)) % 0.82/1.07 (define @t1002 () (@var "T_1" $$unsorted)) % 0.82/1.07 (define @t1003 () (tptp.tc_Polynomial_Opoly @t1002)) % 0.82/1.07 (define @t1004 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1002)) % 0.82/1.07 (define @t1005 () (@list @t1002)) % 0.82/1.07 (define @t1006 () (@var "T_2" $$unsorted)) % 0.82/1.07 (define @t1007 () (tptp.tc_fun @t1006 @t1002)) % 0.82/1.07 (define @t1008 () (@list @t1006 @t1002)) % 0.82/1.07 (define @t1009 () (tptp.class_Rings_Oidom @t1002)) % 0.82/1.07 (define @t1010 () (tptp.class_Rings_Olinordered__idom @t1002)) % 0.82/1.07 (define @t1011 () (tptp.class_Rings_Ocomm__semiring__0 @t1002)) % 0.82/1.07 (define @t1012 () (tptp.class_Rings_Ocomm__semiring__1 @t1002)) % 0.82/1.07 (define @t1013 () (tptp.class_Groups_Ocomm__monoid__add @t1002)) % 0.82/1.07 (define @t1014 () (tptp.class_Groups_Oab__group__add @t1002)) % 0.82/1.07 (define @t1015 () (tptp.class_Rings_Ocomm__ring__1 @t1002)) % 0.82/1.07 (define @t1016 () (tptp.class_Rings_Ocomm__ring @t1002)) % 0.82/1.07 (define @t1017 () (@var "B_t" $$unsorted)) % 0.82/1.07 (define @t1018 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1017 @t26)) % 0.82/1.07 (define @t1019 () (=> @t1018 tptp.v_thesis____)) % 0.82/1.07 (define @t1020 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t1017 @t10)) % 0.82/1.07 (define @t1021 () (=> @t1020 @t1019)) % 0.82/1.07 (define @t1022 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t1017)) % 0.82/1.07 (define @t1023 () (@list @t1017)) % 0.82/1.07 (define @t1024 () (forall @t1023 (=> @t1022 @t1021))) % 0.82/1.07 (define @t1025 () (not @t1018)) % 0.82/1.07 (define @t1026 () (not @t1020)) % 0.82/1.07 (define @t1027 () (not @t1022)) % 0.82/1.07 (define @t1028 () (or @t1027 @t1026 @t1025)) % 0.82/1.07 (define @t1029 () (forall @t1023 @t1028)) % 0.82/1.07 (define @t1030 () (or tptp.v_thesis____ @t1028)) % 0.82/1.07 (define @t1031 () (or @t1027 @t1026 @t1025 tptp.v_thesis____)) % 0.82/1.07 (define @t1032 () (or @t1026 @t1025 tptp.v_thesis____)) % 0.82/1.07 (define @t1033 () (not @t11)) % 0.82/1.07 (define @t1034 () (not @t13)) % 0.82/1.07 (define @t1035 () (forall @t15 (or @t1034 @t1033 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t8 @t26))))) % 0.82/1.07 (define @t1036 () (not @t9)) % 0.82/1.07 (define @t1037 () (or @t1034 @t1033 @t1036)) % 0.82/1.07 (define @t1038 () (not (forall @t15 @t1037))) % 0.82/1.07 (define @t1039 () (forall @t15 (not @t14))) % 0.82/1.07 (define @t1040 () (not @t1039)) % 0.82/1.07 (define @t1041 () (not @t1035)) % 0.82/1.07 (define @t1042 () (not @t27)) % 0.82/1.07 (define @t1043 () (or @t1042 @t1041)) % 0.82/1.07 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 0.82/1.07 (assume @p2 @t20) % 0.82/1.07 (assume @p3 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 tptp.v_m____)) % 0.82/1.07 (assume @p4 @t27) % 0.82/1.07 (assume @p5 (not (= tptp.v_k____ @t28))) % 0.82/1.07 (assume @p6 (forall @t43 (=> @t42 (=> @t41 (=> @t39 (tptp.c_Orderings_Oord__class_Oless @t31 @t37 @t34)))))) % 0.82/1.07 (assume @p7 (forall @t47 (=> (not (= @t44 @t12)) (= (tptp.hAPP @t46 @t44) @t10)))) % 0.82/1.07 (assume @p8 (forall @t57 (=> @t56 (=> @t55 (=> @t54 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t25 @t52) @t45) (tptp.hAPP @t51 @t49))))))) % 0.82/1.07 (assume @p9 (forall @t57 (=> @t56 (=> @t55 (=> @t54 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t46 @t52) (tptp.hAPP (tptp.hAPP @t25 @t49) @t50))))))) % 0.82/1.07 (assume @p10 (forall @t64 (=> @t63 (=> @t62 @t60)))) % 0.82/1.07 (assume @p11 (forall @t75 (=> @t74 (=> @t73 (=> @t71 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t69 (tptp.hAPP (tptp.hAPP @t25 @t66) @t65))))))) % 0.82/1.07 (assume @p12 (forall @t81 (=> @t80 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t79) @t78)))) % 0.82/1.07 (assume @p13 (forall @t64 (=> @t82 (=> @t62 (= (tptp.hAPP @t36 @t59) @t38))))) % 0.82/1.07 (assume @p14 (forall @t64 (=> @t85 @t84))) % 0.82/1.07 (assume @p15 (forall @t64 (=> @t82 @t84))) % 0.82/1.07 (assume @p16 (forall @t81 (=> @t88 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t87) (and @t86 (tptp.c_Orderings_Oord__class_Oless @t31 @t76 @t38)))))) % 0.82/1.07 (assume @p17 (forall @t64 (=> @t89 (=> @t41 (=> @t39 (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t59)))))) % 0.82/1.07 (assume @p18 (not (= tptp.v_a____ @t90))) % 0.82/1.07 (assume @p19 (not (= tptp.v_w____ @t90))) % 0.82/1.07 (assume @p20 (forall @t97 (= @t96 (or @t93 @t92)))) % 0.82/1.07 (assume @p21 (forall @t104 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t100) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t103 @t102) @t99)))) % 0.82/1.07 (assume @p22 (forall @t110 (=> @t109 (= (tptp.hAPP @t33 @t108) (tptp.hAPP (tptp.hAPP @t32 @t105) @t29))))) % 0.82/1.07 (assume @p23 (forall @t64 (=> @t111 (= (tptp.hAPP @t33 @t28) @t38)))) % 0.82/1.07 (assume @p24 (forall @t43 (=> @t42 (=> @t113 (=> @t112 (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t34)))))) % 0.82/1.07 (assume @p25 (forall @t121 (=> @t120 @t119))) % 0.82/1.07 (assume @p26 (forall @t127 (= (tptp.hAPP (tptp.hAPP @t25 (tptp.hAPP @t126 @t123)) @t122) (tptp.hAPP @t126 (tptp.hAPP @t124 @t122))))) % 0.82/1.07 (assume @p27 (forall @t131 (= (tptp.hAPP @t130 @t129) (tptp.hAPP (tptp.hAPP @t25 @t129) @t128)))) % 0.82/1.07 (assume @p28 (forall @t137 (=> @t136 (=> @t135 @t133)))) % 0.82/1.07 (assume @p29 (forall @t142 (=> @t136 (= (= @t141 (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t138)) @t140)))) % 0.82/1.07 (assume @p30 (forall @t64 (=> @t136 @t143))) % 0.82/1.07 (assume @p31 (forall @t137 (=> @t147 (=> @t146 (or @t61 @t144))))) % 0.82/1.07 (assume @p32 (forall @t137 (=> @t147 (=> @t62 (=> @t148 (not @t146)))))) % 0.82/1.07 (assume @p33 (forall @t142 (=> (tptp.class_Rings_Oring__no__zero__divisors @t31) (= (= @t151 @t40) (or @t149 (= @t138 @t40)))))) % 0.82/1.07 (assume @p34 (forall @t152 (=> @t74 (= (tptp.hAPP @t67 @t40) @t40)))) % 0.82/1.07 (assume @p35 (forall @t64 (=> @t74 @t153))) % 0.82/1.07 (assume @p36 (forall @t64 (=> @t154 @t153))) % 0.82/1.07 (assume @p37 (forall @t156 (=> @t74 (= (tptp.hAPP @t155 @t52) @t40)))) % 0.82/1.07 (assume @p38 (forall (@list @t132 @t31) (=> @t74 (= (tptp.hAPP @t155 @t132) @t40)))) % 0.82/1.07 (assume @p39 (forall @t64 (=> @t154 @t157))) % 0.82/1.07 (assume @p40 (forall @t159 (=> @t158 (not (= @t40 @t38))))) % 0.82/1.07 (assume @p41 (forall @t159 (=> @t158 (not (= @t38 @t40))))) % 0.82/1.07 (assume @p42 (forall (@list @t160 @t132 @t161 @t30 @t31) (=> (tptp.class_Rings_Osemiring @t31) (= (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t36 @t161) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t164 @t161) @t160)) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t163 @t161) @t160))))) % 0.82/1.07 (assume @p43 (forall @t170 (=> @t74 (= (tptp.hAPP (tptp.hAPP @t35 @t169) @t165) (tptp.c_Groups_Oplus__class_Oplus @t31 @t168 @t167))))) % 0.82/1.07 (assume @p44 (forall @t173 (=> @t74 (= (tptp.hAPP (tptp.hAPP @t35 (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t171)) @t132) (tptp.c_Groups_Oplus__class_Oplus @t31 @t145 @t172))))) % 0.82/1.07 (assume @p45 (forall @t177 (=> (tptp.class_Rings_Ocomm__semiring @t31) @t176))) % 0.82/1.07 (assume @p46 (forall @t182 (=> @t74 (= (tptp.hAPP @t179 @t169) (tptp.c_Groups_Oplus__class_Oplus @t31 @t181 @t180))))) % 0.82/1.07 (assume @p47 (forall @t185 (=> @t74 (= (tptp.hAPP @t36 (tptp.c_Groups_Oplus__class_Oplus @t31 @t132 @t183)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t145 @t184))))) % 0.82/1.07 (assume @p48 (forall @t43 (=> @t186 (=> @t62 (not (= @t34 @t40)))))) % 0.82/1.07 (assume @p49 (forall @t190 (=> (and @t111 @t154 @t147 @t158) (= (= @t189 @t40) (and @t149 @t187))))) % 0.82/1.07 (assume @p50 (forall @t195 (=> @t194 (= (tptp.hAPP (tptp.hAPP @t32 @t145) @t29) (tptp.hAPP @t193 @t192))))) % 0.82/1.07 (assume @p51 (forall @t43 (=> @t109 (= @t196 @t37)))) % 0.82/1.07 (assume @p52 (forall @t197 (=> @t109 (= (tptp.hAPP (tptp.hAPP @t32 @t38) @t29) @t38)))) % 0.82/1.07 (assume @p53 (forall @t137 (=> @t82 (=> @t135 (=> @t62 (=> @t148 @t133)))))) % 0.82/1.07 (assume @p54 (forall @t64 (=> @t82 (=> @t198 @t61)))) % 0.82/1.07 (assume @p55 (forall @t64 (=> @t82 (=> @t62 @t143)))) % 0.82/1.07 (assume @p56 (forall @t64 (=> @t82 (=> @t62 (not @t198))))) % 0.82/1.07 (assume @p57 (forall @t199 (=> @t136 (= (= @t141 @t40) @t149)))) % 0.82/1.07 (assume @p58 (forall @t159 (=> @t136 @t200))) % 0.82/1.07 (assume @p59 (forall @t159 (=> @t201 @t200))) % 0.82/1.07 (assume @p60 (forall @t137 (=> @t201 (= @t202 (tptp.hAPP @t83 @t134))))) % 0.82/1.07 (assume @p61 (forall @t81 (=> @t201 (= (= @t87 @t38) @t203)))) % 0.82/1.07 (assume @p62 (forall @t159 (=> @t82 (= (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t38) @t38)))) % 0.82/1.07 (assume @p63 (forall @t207 (=> @t206 (= (= (tptp.hAPP @t205 @t139) (tptp.hAPP @t205 @t138)) @t140)))) % 0.82/1.07 (assume @p64 (forall @t207 (=> @t206 (= (= (tptp.hAPP (tptp.hAPP @t25 @t139) @t204) (tptp.hAPP (tptp.hAPP @t25 @t138) @t204)) @t140)))) % 0.82/1.07 (assume @p65 (forall @t43 (=> @t136 @t208))) % 0.82/1.07 (assume @p66 (forall @t64 (=> @t109 (= (tptp.hAPP @t33 @t21) @t30)))) % 0.82/1.07 (assume @p67 (not (= @t12 @t10))) % 0.82/1.07 (assume @p68 (forall @t209 (= (tptp.hAPP (tptp.hAPP @t25 @t10) @t128) @t128))) % 0.82/1.07 (assume @p69 (= (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t12) @t12)) % 0.82/1.07 (assume @p70 (forall @t217 (=> @t216 (=> @t215 (=> @t214 @t213))))) % 0.82/1.07 (assume @p71 (forall @t217 (=> @t216 (=> @t215 (=> @t214 @t218))))) % 0.82/1.07 (assume @p72 (forall @t177 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t31) @t221))) % 0.82/1.07 (assume @p73 (forall @t177 (=> @t222 @t221))) % 0.82/1.07 (assume @p74 (forall @t177 (=> @t222 (=> @t220 (=> @t219 @t218))))) % 0.82/1.07 (assume @p75 (forall @t137 (=> @t216 (=> @t225 (=> @t224 @t223))))) % 0.82/1.07 (assume @p76 (forall @t137 (=> @t222 (=> @t225 (=> @t227 @t226))))) % 0.82/1.07 (assume @p77 (forall @t234 (=> @t216 (=> @t233 (= @t232 @t228))))) % 0.82/1.07 (assume @p78 (forall @t237 (=> @t222 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t236) @t235)))) % 0.82/1.07 (assume @p79 (forall @t137 (=> @t222 (=> @t223 @t235)))) % 0.82/1.07 (assume @p80 (forall @t137 (=> @t222 (=> @t41 (=> @t224 (tptp.c_Orderings_Oord__class_Oless @t31 @t236 @t40)))))) % 0.82/1.07 (assume @p81 (forall @t137 (=> @t222 (=> @t41 (=> @t224 @t226))))) % 0.82/1.07 (assume @p82 (forall @t137 (=> @t222 (=> @t41 (=> @t227 @t223))))) % 0.82/1.07 (assume @p83 (forall @t234 (=> @t216 (=> @t239 (= @t232 @t238))))) % 0.82/1.07 (assume @p84 (forall @t234 (=> @t216 (= @t232 @t240)))) % 0.82/1.07 (assume @p85 (forall @t244 (=> @t216 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t243 @t242) @t240)))) % 0.82/1.07 (assume @p86 (forall @t64 (=> @t246 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t245 @t40))))) % 0.82/1.07 (assume @p87 (forall @t177 (=> @t42 (=> @t41 @t250)))) % 0.82/1.07 (assume @p88 (forall @t159 (=> @t42 (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t38)))) % 0.82/1.07 (assume @p89 (forall @t159 (=> @t42 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t40))))) % 0.82/1.07 (assume @p90 (forall (@list @t29 @t98 @t31) (=> @t42 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t98) (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t29) (tptp.c_Orderings_Oord__class_Oless @t31 @t38 (tptp.hAPP @t251 @t29))))))) % 0.82/1.07 (assume @p91 (forall @t43 (=> @t42 (=> @t41 (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t34))))) % 0.82/1.07 (assume @p92 (forall @t64 (=> @t42 (tptp.c_Orderings_Oord__class_Oless @t31 @t30 @t252)))) % 0.82/1.07 (assume @p93 (forall @t197 (=> @t258 (and (=> @t255 (= @t254 @t38)) (=> @t256 (= @t254 @t40)))))) % 0.82/1.07 (assume @p94 (forall @t262 (=> @t42 (=> @t261 (=> @t113 (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t260)))))) % 0.82/1.07 (assume @p95 (forall @t110 (=> @t42 (=> @t113 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t105 @t34) @t99))))) % 0.82/1.07 (assume @p96 (forall @t268 (=> @t42 (=> @t267 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t266 @t265) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t76 @t263)))))) % 0.82/1.07 (assume @p97 (forall (@list @t91 @t269 @t139 @t31) (=> @t42 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t139) (= (= (tptp.hAPP @t188 @t269) @t189) @t270))))) % 0.82/1.07 (assume @p98 (forall @t137 (=> @t89 (=> @t271 (=> @t224 @t215))))) % 0.82/1.07 (assume @p99 (forall @t137 (=> @t89 (=> @t271 (=> @t41 @t215))))) % 0.82/1.07 (assume @p100 (forall @t64 (=> @t89 (=> @t272 (=> @t62 @t225))))) % 0.82/1.07 (assume @p101 (forall @t137 (=> @t89 (=> @t220 (=> @t224 @t273))))) % 0.82/1.07 (assume @p102 (forall @t137 (=> @t89 (=> @t220 (=> @t41 @t273))))) % 0.82/1.07 (assume @p103 (forall @t64 (=> @t89 (=> @t225 @t272)))) % 0.82/1.07 (assume @p104 (forall @t64 (=> @t89 (=> @t274 (=> @t62 @t41))))) % 0.82/1.07 (assume @p105 (forall @t64 (=> @t89 (=> @t41 @t274)))) % 0.82/1.07 (assume @p106 (forall @t199 (=> @t88 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t141 @t40) @t275)))) % 0.82/1.07 (assume @p107 (forall @t199 (=> @t88 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t141) @t276)))) % 0.82/1.07 (assume @p108 (forall @t137 (=> @t82 (=> @t62 (=> @t148 (= @t202 (tptp.hAPP (tptp.hAPP @t35 @t134) @t59))))))) % 0.82/1.07 (assume @p109 (forall @t81 (=> @t80 (= (= @t79 @t12) @t77)))) % 0.82/1.07 (assume @p110 (forall @t159 (=> @t80 (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t40) @t12)))) % 0.82/1.07 (assume @p111 (forall @t110 (=> @t109 (= (tptp.hAPP @t33 @t277) (tptp.hAPP (tptp.hAPP @t35 @t105) @t34))))) % 0.82/1.07 (assume @p112 (forall @t137 (=> @t82 (=> (= @t145 @t38) (= @t59 @t132))))) % 0.82/1.07 (assume @p113 (forall @t43 (=> @t82 (=> @t62 @t208)))) % 0.82/1.07 (assume @p114 (forall @t75 (=> @t80 (=> @t73 (=> @t71 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t278 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t66 @t65))))))) % 0.82/1.07 (assume @p115 (forall @t121 (=> @t63 (= @t69 @t279)))) % 0.82/1.07 (assume @p116 (forall (@list @t52 @t44 @t128) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t128) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t44 @t52) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t130 @t44) (tptp.hAPP @t130 @t52)))))) % 0.82/1.07 (assume @p117 (forall @t280 (=> @t56 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t52) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 (tptp.hAPP @t53 @t52)))))) % 0.82/1.07 (assume @p118 (forall @t288 (=> @t287 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t286 @t284) @t281)))) % 0.82/1.07 (assume @p119 (forall @t152 (=> @t80 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t72 @t12))))) % 0.82/1.07 (assume @p120 (forall @t159 (=> @t289 (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t38) @t10)))) % 0.82/1.07 (assume @p121 (forall @t294 (=> @t63 (= @t293 @t290)))) % 0.82/1.07 (assume @p122 (forall @t64 (=> (and @t63 @t136) @t60))) % 0.82/1.07 (assume @p123 (forall @t159 (=> @t42 (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t295)))) % 0.82/1.07 (assume @p124 (forall @t262 (=> @t42 (=> @t261 (=> @t41 (=> @t39 (tptp.c_Orderings_Oord__class_Oless @t31 @t260 @t34))))))) % 0.82/1.07 (assume @p125 (forall @t43 (=> @t42 (=> @t113 (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t37))))) % 0.82/1.07 (assume @p126 (forall @t43 (=> @t42 (=> @t113 (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t37))))) % 0.82/1.07 (assume @p127 (forall @t137 (=> @t85 (=> @t62 (=> @t148 (= @t296 (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t163 @t59)) @t134))))))) % 0.82/1.07 (assume @p128 (forall @t137 (=> @t82 (=> @t62 (=> @t148 (= @t296 (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t83 @t162)) @t134))))))) % 0.82/1.07 (assume @p129 (forall @t301 (=> @t216 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t300) (or @t78 (not @t297)))))) % 0.82/1.07 (assume @p130 (forall @t121 (=> @t246 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t303 @t40))))) % 0.82/1.07 (assume @p131 (forall (@list @t76) (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t305)) @t304))) % 0.82/1.07 (assume @p132 (forall @t311 (=> @t310 (= (tptp.hAPP (tptp.hAPP @t35 @t309) @t308) (tptp.hAPP @t291 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t307 @t306)))))) % 0.82/1.07 (assume @p133 (forall @t152 (=> @t310 (= (tptp.hAPP @t291 @t28) @t38)))) % 0.82/1.07 (assume @p134 (forall (@list @t98 @t30 @t31) (=> @t310 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t313 @t98) @t312)))) % 0.82/1.07 (assume @p135 (forall (@list @t30 @t98 @t31) (=> @t310 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t98 @t313) @t312)))) % 0.82/1.07 (assume @p136 (forall (@list @t98 @t31) (=> @t310 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t98 @t98) (tptp.hAPP (tptp.hAPP @t35 @t295) @t98))))) % 0.82/1.07 (assume @p137 (forall (@list @t314 @t160 @t132 @t30 @t66 @t31) (=> @t316 (=> (not (= @t66 @t40)) (=> (and @t133 (not (= @t160 @t314))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 (tptp.hAPP @t315 @t160)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t132 (tptp.hAPP @t315 @t314))))))))) % 0.82/1.07 (assume @p138 (forall @t301 (=> @t216 (= (= @t300 @t40) @t317)))) % 0.82/1.07 (assume @p139 (forall @t137 (=> @t320 (=> @t225 @t319)))) % 0.82/1.07 (assume @p140 (forall @t137 (=> @t320 (=> @t41 @t322)))) % 0.82/1.07 (assume @p141 (= @t327 @t90)) % 0.82/1.07 (assume @p142 (forall @t328 (= (tptp.hAPP (tptp.hAPP @t25 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t125 @t123)) @t129) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t126 @t129) (tptp.hAPP @t124 @t129))))) % 0.82/1.07 (assume @p143 (forall @t329 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t305 (tptp.hAPP @t283 @t263)) @t12) (and @t304 (= @t263 @t12))))) % 0.82/1.07 (assume @p144 (forall @t81 (=> @t330 (= (= @t40 @t76) @t77)))) % 0.82/1.07 (assume @p145 (forall @t137 (=> @t310 (= @t145 @t236)))) % 0.82/1.07 (assume @p146 (forall @t338 (=> @t310 (= @t337 (tptp.hAPP @t335 (tptp.hAPP @t333 @t331)))))) % 0.82/1.07 (assume @p147 (forall @t338 (=> @t310 (= @t337 (tptp.hAPP @t339 @t331))))) % 0.82/1.07 (assume @p148 (forall @t177 (=> (tptp.class_Groups_Oab__semigroup__mult @t31) (= (tptp.hAPP (tptp.hAPP @t35 @t145) @t160) (tptp.hAPP @t36 @t174))))) % 0.82/1.07 (assume @p149 (forall @t344 (=> @t310 (= @t343 (tptp.hAPP @t333 (tptp.hAPP @t341 @t334)))))) % 0.82/1.07 (assume @p150 (forall @t344 (=> @t310 (= @t343 (tptp.hAPP @t339 @t340))))) % 0.82/1.07 (assume @p151 (forall @t346 (=> @t310 (= @t345 (tptp.hAPP @t333 (tptp.hAPP @t341 @t336)))))) % 0.82/1.07 (assume @p152 (forall @t346 (=> @t310 (= @t345 (tptp.hAPP @t335 (tptp.hAPP @t342 @t331)))))) % 0.82/1.07 (assume @p153 (forall @t346 (=> @t310 (= @t345 (tptp.hAPP @t339 (tptp.hAPP @t341 @t331)))))) % 0.82/1.07 (assume @p154 (forall (@list @t160 @t30 @t31) (=> @t310 (= @t247 @t347)))) % 0.82/1.07 (assume @p155 (forall @t350 (=> @t310 (= @t349 (tptp.c_Groups_Oplus__class_Oplus @t31 @t160 (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t314)))))) % 0.82/1.07 (assume @p156 (forall @t350 (=> @t310 (= @t349 (tptp.c_Groups_Oplus__class_Oplus @t31 @t247 @t314))))) % 0.82/1.07 (assume @p157 (forall @t177 (=> @t310 @t353))) % 0.82/1.07 (assume @p158 (forall @t177 (=> (tptp.class_Groups_Oab__semigroup__add @t31) @t353))) % 0.82/1.07 (assume @p159 (forall @t177 (=> @t310 (= @t352 (tptp.c_Groups_Oplus__class_Oplus @t31 @t247 @t132))))) % 0.82/1.07 (assume @p160 (forall (@list @t204 @t138 @t139 @t31) (=> @t357 (= (= @t356 @t355) @t354)))) % 0.82/1.07 (assume @p161 (forall (@list @t204 @t139 @t138 @t31) (=> @t357 (= (= @t359 @t358) @t354)))) % 0.82/1.07 (assume @p162 (forall @t361 (=> @t310 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t162 @t348) (tptp.c_Groups_Oplus__class_Oplus @t31 @t247 @t360))))) % 0.82/1.07 (assume @p163 (forall @t177 (=> @t357 @t363))) % 0.82/1.07 (assume @p164 (forall @t177 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t31) @t363))) % 0.82/1.07 (assume @p165 (forall @t217 (=> @t357 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t132 @t30) @t347) @t362)))) % 0.82/1.07 (assume @p166 (forall @t81 (=> (tptp.class_Groups_Oone @t31) (= (= @t38 @t76) @t203)))) % 0.82/1.07 (assume @p167 (forall @t311 (=> @t310 (= (tptp.hAPP (tptp.hAPP @t32 @t309) @t306) (tptp.hAPP @t291 (tptp.hAPP @t364 @t306)))))) % 0.82/1.07 (assume @p168 (forall @t64 (=> @t310 @t157))) % 0.82/1.07 (assume @p169 (forall @t64 (=> @t310 @t153))) % 0.82/1.07 (assume @p170 (forall @t64 (=> @t366 @t365))) % 0.82/1.07 (assume @p171 (forall @t64 (=> @t310 @t365))) % 0.82/1.07 (assume @p172 (forall @t64 (=> @t367 @t365))) % 0.82/1.07 (assume @p173 (forall @t199 (=> @t369 (= (= @t40 @t368) @t149)))) % 0.82/1.07 (assume @p174 (forall @t64 (=> @t366 @t370))) % 0.82/1.07 (assume @p175 (forall @t64 (=> @t310 @t370))) % 0.82/1.07 (assume @p176 (forall @t64 (=> @t367 @t370))) % 0.82/1.07 (assume @p177 (forall @t371 (=> @t316 (= (= @t138 @t359) @t149)))) % 0.82/1.07 (assume @p178 (forall @t244 (=> @t373 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t355 @t372) @t238)))) % 0.82/1.07 (assume @p179 (forall @t234 (=> @t373 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t358 @t374) @t238)))) % 0.82/1.07 (assume @p180 (forall @t177 (=> @t376 (=> @t220 @t375)))) % 0.82/1.07 (assume @p181 (forall @t177 (=> @t376 (=> @t220 @t378)))) % 0.82/1.07 (assume @p182 (forall @t361 (=> @t376 (=> @t220 @t381)))) % 0.82/1.07 (assume @p183 (forall @t382 (=> @t373 (=> @t375 @t220)))) % 0.82/1.07 (assume @p184 (forall @t383 (=> @t373 (=> @t378 @t220)))) % 0.82/1.07 (assume @p185 (forall @t384 (=> @t310 (= (tptp.hAPP @t67 (tptp.c_Groups_Oplus__class_Oplus @t31 @t52 @t128)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t68 (tptp.hAPP @t67 @t128)))))) % 0.82/1.07 (assume @p186 (forall @t387 (=> @t316 (= (and (not @t140) (not @t386)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t243 (tptp.hAPP @t241 @t385)) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t150 @t385) @t242))))))) % 0.82/1.07 (assume @p187 (forall @t177 (=> @t310 @t176))) % 0.82/1.07 (assume @p188 (forall (@list @t132 @t98 @t30 @t31) (=> @t310 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t313 (tptp.hAPP @t164 @t98)) (tptp.hAPP @t163 @t98))))) % 0.82/1.07 (assume @p189 (forall (@list @t282 @t76 @t263 @t388 @t31) (=> @t316 (= (= (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t389 @t263) (tptp.hAPP @t298 @t282)) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t389 @t282) (tptp.hAPP @t298 @t263))) (or (= @t388 @t76) (= @t263 @t282)))))) % 0.82/1.07 (assume @p190 (forall @t64 (=> @t109 @t390))) % 0.82/1.07 (assume @p191 (forall @t64 (=> @t310 @t390))) % 0.82/1.07 (assume @p192 (forall @t64 (=> @t194 @t390))) % 0.82/1.07 (assume @p193 (forall @t64 (=> @t109 @t391))) % 0.82/1.07 (assume @p194 (forall @t64 (=> @t310 @t391))) % 0.82/1.07 (assume @p195 (forall @t64 (=> @t194 @t391))) % 0.82/1.07 (assume @p196 (forall (@list @t306 @t52 @t44 @t31) (=> @t310 (= (tptp.hAPP (tptp.hAPP @t32 @t68) @t306) (tptp.hAPP @t393 (tptp.hAPP @t392 @t306)))))) % 0.82/1.07 (assume @p197 (forall @t152 (=> @t310 (= (tptp.hAPP @t291 @t21) @t44)))) % 0.82/1.07 (assume @p198 (forall @t199 (=> @t369 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t368) @t276)))) % 0.82/1.07 (assume @p199 (forall @t199 (=> @t369 @t394))) % 0.82/1.07 (assume @p200 (not (forall @t396 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t326 (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP (tptp.hAPP @t323 @t395) tptp.v_k____)) tptp.v_a____)) @t90))))) % 0.82/1.07 (assume @p201 (forall @t397 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t28)))) % 0.82/1.07 (assume @p202 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t327 @t326) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t90 @t326))) % 0.82/1.07 (assume @p203 (= @t325 @t398)) % 0.82/1.07 (assume @p204 (forall @t97 (= @t96 (or @t92 @t93)))) % 0.82/1.07 (assume @p205 (forall @t400 (=> (= @t98 @t108) (or (= @t29 @t21) @t399)))) % 0.82/1.07 (assume @p206 (forall @t408 (=> @t407 (=> @t406 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t405 @t404))))) % 0.82/1.07 (assume @p207 (forall @t408 (=> @t407 (=> @t406 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t412 @t410))))) % 0.82/1.07 (assume @p208 (forall @t420 (=> @t419 (= @t418 @t413)))) % 0.82/1.07 (assume @p209 (forall @t64 (=> @t422 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t40 @t30) @t421)))) % 0.82/1.07 (assume @p210 (forall @t387 (=> @t425 (=> @t424 (= @t140 @t386))))) % 0.82/1.07 (assume @p211 (forall @t142 (=> @t422 (= (= @t427 @t426) @t140)))) % 0.82/1.07 (assume @p212 (forall @t142 (=> @t422 (= (= @t427 @t138) (= @t426 @t139))))) % 0.82/1.07 (assume @p213 (forall @t142 (=> @t422 (= @t428 (= @t138 @t427))))) % 0.82/1.07 (assume @p214 (forall @t137 (=> @t422 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t30 @t429) @t162)))) % 0.82/1.07 (assume @p215 (forall @t121 (=> @t431 (= @t430 (tptp.c_Groups_Oplus__class_Oplus @t31 @t44 (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t52)))))) % 0.82/1.07 (assume @p216 (forall @t137 (=> @t425 @t433))) % 0.82/1.07 (assume @p217 (forall @t137 (=> @t422 @t433))) % 0.82/1.07 (assume @p218 (forall @t137 (=> @t425 (= @t435 @t434)))) % 0.82/1.07 (assume @p219 (forall @t64 (=> @t422 (= (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t421) @t30)))) % 0.82/1.07 (assume @p220 (forall @t142 (=> @t422 (= @t436 @t140)))) % 0.82/1.07 (assume @p221 (forall @t142 (=> @t425 (= @t140 @t436)))) % 0.82/1.07 (assume @p222 (forall @t64 (=> @t422 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t30 @t30) @t40)))) % 0.82/1.07 (assume @p223 (forall @t64 (=> @t422 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t30 @t40) @t30)))) % 0.82/1.07 (assume @p224 (forall @t199 (=> @t369 (= (= @t427 @t139) @t149)))) % 0.82/1.07 (assume @p225 (forall @t199 (=> @t422 (= (= @t427 @t40) @t149)))) % 0.82/1.07 (assume @p226 (forall @t199 (=> @t369 (= (= @t139 @t427) @t149)))) % 0.82/1.07 (assume @p227 (forall @t199 (=> @t422 (= (= @t40 @t427) (= @t40 @t139))))) % 0.82/1.07 (assume @p228 (forall @t159 (=> @t422 (= (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t40) @t40)))) % 0.82/1.07 (assume @p229 (forall @t387 (=> @t437 (=> @t424 (= @t238 (tptp.c_Orderings_Oord__class_Oless @t31 @t204 @t385)))))) % 0.82/1.07 (assume @p230 (forall @t371 (=> @t437 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t426 @t427) @t238)))) % 0.82/1.07 (assume @p231 (forall @t142 (=> @t437 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t427 @t138) (tptp.c_Orderings_Oord__class_Oless @t31 @t426 @t139))))) % 0.82/1.07 (assume @p232 (forall @t142 (=> @t437 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t139 @t426) (tptp.c_Orderings_Oord__class_Oless @t31 @t138 @t427))))) % 0.82/1.07 (assume @p233 (forall @t170 (=> @t74 (= (tptp.hAPP @t438 @t165) (tptp.c_Groups_Ominus__class_Ominus @t31 @t168 @t167))))) % 0.82/1.07 (assume @p234 (forall @t173 (=> @t74 (= (tptp.hAPP (tptp.hAPP @t35 (tptp.c_Groups_Ominus__class_Ominus @t31 @t30 @t171)) @t132) (tptp.c_Groups_Ominus__class_Ominus @t31 @t145 @t172))))) % 0.82/1.07 (assume @p235 (forall @t182 (=> @t74 (= (tptp.hAPP @t179 @t430) (tptp.c_Groups_Ominus__class_Ominus @t31 @t181 @t180))))) % 0.82/1.07 (assume @p236 (forall @t185 (=> @t74 (= (tptp.hAPP @t36 (tptp.c_Groups_Ominus__class_Ominus @t31 @t132 @t183)) (tptp.c_Groups_Ominus__class_Ominus @t31 @t145 @t184))))) % 0.82/1.07 (assume @p237 (forall @t137 (=> @t422 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t162 @t132) @t30)))) % 0.82/1.07 (assume @p238 (forall @t137 (=> @t422 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t432 @t132) @t30)))) % 0.82/1.07 (assume @p239 (forall @t142 (=> @t439 (= (= (tptp.hAPP @t150 @t139) (tptp.hAPP @t241 @t138)) (or @t140 @t428))))) % 0.82/1.07 (assume @p240 (forall @t137 (=> @t441 (= (tptp.hAPP @t440 @t429) @t145)))) % 0.82/1.07 (assume @p241 (forall @t137 (=> @t441 (= @t443 @t442)))) % 0.82/1.07 (assume @p242 (forall @t121 (=> @t74 (= (tptp.hAPP (tptp.hAPP @t35 @t444) @t52) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t68))))) % 0.82/1.07 (assume @p243 (forall @t137 (=> @t74 (= @t443 @t445)))) % 0.82/1.07 (assume @p244 (forall (@list @t44 @t178 @t31) (=> @t74 (= (tptp.hAPP @t179 @t444) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t181))))) % 0.82/1.07 (assume @p245 (forall @t137 (=> @t74 (= @t442 @t445)))) % 0.82/1.07 (assume @p246 (forall @t137 (=> @t441 (= @t445 @t443)))) % 0.82/1.07 (assume @p247 (forall @t137 (=> @t441 (= @t445 @t442)))) % 0.82/1.07 (assume @p248 (forall @t137 (=> @t422 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t421 @t162) @t132)))) % 0.82/1.07 (assume @p249 (forall @t137 (=> @t422 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 (tptp.c_Groups_Oplus__class_Oplus @t31 @t421 @t132)) @t132)))) % 0.82/1.07 (assume @p250 (forall @t137 (=> @t422 (= @t446 (tptp.c_Groups_Oplus__class_Oplus @t31 @t429 @t421))))) % 0.82/1.07 (assume @p251 (forall @t137 (=> @t425 (= @t446 (tptp.c_Groups_Oplus__class_Oplus @t31 @t421 @t429))))) % 0.82/1.07 (assume @p252 (forall @t137 (=> @t80 (= @t447 (tptp.c_RealVector_Onorm__class_Onorm @t31 @t434))))) % 0.82/1.07 (assume @p253 (forall @t152 (=> @t80 (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t444) @t72)))) % 0.82/1.07 (assume @p254 (forall @t64 (=> @t136 @t448))) % 0.82/1.07 (assume @p255 (forall @t142 (=> @t437 (= @t238 (tptp.c_Orderings_Oord__class_Oless @t31 @t423 @t40))))) % 0.82/1.07 (assume @p256 (forall @t199 (=> @t120 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t139 @t427) @t275)))) % 0.82/1.07 (assume @p257 (forall @t199 (=> @t369 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t427 @t139) @t276)))) % 0.82/1.07 (assume @p258 (forall @t199 (=> @t437 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t427 @t40) @t276)))) % 0.82/1.07 (assume @p259 (forall @t199 (=> @t437 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t40 @t427) @t275)))) % 0.82/1.07 (assume @p260 (forall @t301 (=> @t422 (= @t450 (= @t263 @t449))))) % 0.82/1.07 (assume @p261 (forall @t137 (=> @t422 (=> (= @t162 @t40) (= @t421 @t132))))) % 0.82/1.07 (assume @p262 (forall @t64 (=> @t425 @t451))) % 0.82/1.07 (assume @p263 (forall @t64 (=> @t422 @t451))) % 0.82/1.07 (assume @p264 (forall @t142 (=> @t422 (= @t428 (= @t356 @t40))))) % 0.82/1.07 (assume @p265 (forall @t64 (=> @t422 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t421) @t40)))) % 0.82/1.07 (assume @p266 (forall @t457 (=> @t441 (= @t456 (= @t453 @t385))))) % 0.82/1.07 (assume @p267 (forall @t457 (=> @t441 (= @t456 (= @t204 @t458))))) % 0.82/1.07 (assume @p268 (forall @t463 (=> @t74 (= @t462 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t460 @t459) @t461) (tptp.hAPP @t36 @t459)))))) % 0.82/1.07 (assume @p269 (forall @t463 (=> @t441 (= @t462 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t67 @t459) @t461))))) % 0.82/1.07 (assume @p270 (forall @t81 (=> @t186 (= (= @t299 @t38) (or @t203 (= @t76 @t464)))))) % 0.82/1.07 (assume @p271 (forall @t152 (=> @t431 (= @t444 (tptp.hAPP (tptp.hAPP @t35 @t464) @t44))))) % 0.82/1.07 (assume @p272 (forall @t64 (=> @t82 (=> @t62 @t448)))) % 0.82/1.07 (assume @p273 (forall @t457 (=> @t466 (= @t465 (tptp.c_Orderings_Oord__class_Oless @t31 @t453 @t385))))) % 0.82/1.07 (assume @p274 (forall @t457 (=> @t466 (= @t465 (tptp.c_Orderings_Oord__class_Oless @t31 @t204 @t458))))) % 0.82/1.07 (assume @p275 (forall @t152 (=> @t467 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t302 @t38) (tptp.hAPP (tptp.hAPP @t35 (tptp.c_Groups_Oplus__class_Oplus @t31 @t44 @t38)) (tptp.c_Groups_Ominus__class_Ominus @t31 @t44 @t38)))))) % 0.82/1.07 (assume @p276 (forall @t137 (=> @t82 (=> @t62 (=> @t148 (= @t468 (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t83 @t434)) @t134))))))) % 0.82/1.07 (assume @p277 (forall @t43 (=> @t467 (= (tptp.hAPP (tptp.hAPP @t32 @t421) @t29) (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP (tptp.hAPP @t32 @t464) @t29)) @t34))))) % 0.82/1.07 (assume @p278 (forall (@list @t469 @t91 @t269) (=> (=> @t413 @t470) (=> (=> @t270 @t470) (=> (=> @t471 @t470) @t470))))) % 0.82/1.07 (assume @p279 (forall (@list @t472 @t65) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t472) (not (= @t65 @t472))))) % 0.82/1.07 (assume @p280 (forall @t476 (=> @t475 @t474))) % 0.82/1.07 (assume @p281 (forall @t397 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t29)))) % 0.82/1.07 (assume @p282 (forall @t280 (=> @t118 (=> (not @t477) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t52 @t44))))) % 0.82/1.07 (assume @p283 (forall @t479 (= @t478 (or @t413 @t471)))) % 0.82/1.07 (assume @p284 (forall @t481 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t269 @t414) @t480) @t270))) % 0.82/1.07 (assume @p285 (forall @t420 (= (= @t483 @t482) @t270))) % 0.82/1.07 (assume @p286 (forall @t485 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t277 @t402) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t484)))) % 0.82/1.07 (assume @p287 (forall @t487 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t44 @t486) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t52 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t44 @t128))))) % 0.82/1.07 (assume @p288 (forall @t400 (= @t277 @t488))) % 0.82/1.07 (assume @p289 (forall @t485 (= (tptp.hAPP (tptp.hAPP @t106 @t108) @t402) (tptp.hAPP @t107 @t490)))) % 0.82/1.07 (assume @p290 (forall @t400 (= @t108 @t491))) % 0.82/1.07 (assume @p291 (forall @t493 (= @t187 @t492))) % 0.82/1.07 (assume @p292 (forall @t400 (=> @t99 @t256))) % 0.82/1.07 (assume @p293 (forall @t397 (=> @t256 @t112))) % 0.82/1.07 (assume @p294 (forall @t400 (=> (= @t277 @t98) @t255))) % 0.82/1.07 (assume @p295 (forall @t479 (= (= @t495 @t28) (and @t494 @t92)))) % 0.82/1.07 (assume @p296 (forall @t496 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t28) @t98))) % 0.82/1.07 (assume @p297 (forall @t397 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t28 @t29) @t29))) % 0.82/1.07 (assume @p298 (forall @t397 (= (tptp.hAPP (tptp.hAPP @t106 @t28) @t29) @t28))) % 0.82/1.07 (assume @p299 (forall @t496 (= (tptp.hAPP @t107 @t28) @t28))) % 0.82/1.07 (assume @p300 (forall @t479 (= (= @t498 @t28) (or @t494 @t92)))) % 0.82/1.07 (assume @p301 (forall @t420 (= @t500 (or @t499 @t270)))) % 0.82/1.07 (assume @p302 (forall @t420 (= @t500 @t501))) % 0.82/1.07 (assume @p303 (forall @t481 (= (= @t504 @t503) @t501))) % 0.82/1.07 (assume @p304 (forall @t408 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t505 @t402) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 @t402)))) % 0.82/1.07 (assume @p305 (forall (@list @t29 @t98 @t507 @t402) (=> @t508 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t507) @t506) @t99)))) % 0.82/1.07 (assume @p306 (forall @t511 (=> @t407 (=> @t508 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t509))))) % 0.82/1.07 (assume @p307 (forall @t408 (=> @t407 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t510 @t512)))) % 0.82/1.07 (assume @p308 (forall @t514 (=> @t407 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 @t513)))) % 0.82/1.07 (assume @p309 (forall @t514 (=> @t407 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 @t515)))) % 0.82/1.07 (assume @p310 (forall @t420 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t483 @t482) @t413))) % 0.82/1.07 (assume @p311 (forall (@list @t100 @t401) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t516 @t100)))) % 0.82/1.07 (assume @p312 (forall (@list @t401 @t100) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t505 @t100)))) % 0.82/1.07 (assume @p313 (forall (@list @t402 @t401 @t50 @t100) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t518 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t517 @t402)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 @t505) @t50) @t402)))) % 0.82/1.07 (assume @p314 (forall @t485 (= (tptp.hAPP (tptp.hAPP @t106 @t277) @t402) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t519 @t490)))) % 0.82/1.07 (assume @p315 (forall @t522 (= (tptp.hAPP @t403 @t277) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t521 @t520)))) % 0.82/1.07 (assume @p316 (forall @t479 (= (= @t498 @t21) @t525))) % 0.82/1.07 (assume @p317 (forall @t397 (= (tptp.hAPP @t489 @t21) @t29))) % 0.82/1.07 (assume @p318 (forall @t479 (= (= @t21 @t498) @t525))) % 0.82/1.07 (assume @p319 (forall @t397 (= (tptp.hAPP (tptp.hAPP @t106 @t21) @t29) @t29))) % 0.82/1.07 (assume @p320 (forall @t479 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t495) (or @t526 @t492)))) % 0.82/1.07 (assume @p321 (forall @t479 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t498) (and @t526 @t492)))) % 0.82/1.07 (assume @p322 (forall @t420 (= @t418 @t527))) % 0.82/1.07 (assume @p323 (forall @t481 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t504 @t503) @t527))) % 0.82/1.07 (assume @p324 (forall @t420 (=> @t419 (= @t500 @t270)))) % 0.82/1.07 (assume @p325 (forall @t137 (=> @t82 (=> @t62 (=> @t148 (= @t468 (tptp.c_Groups_Ouminus__class_Ouminus @t31 (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t83 @t432)) @t134)))))))) % 0.82/1.07 (assume @p326 (forall @t280 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t44 @t52) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t44 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t52))))) % 0.82/1.07 (assume @p327 (forall (@list @t29 @t132) (=> (not (= @t132 @t90)) (=> @t256 (exists @t530 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t326 (tptp.hAPP (tptp.hAPP @t324 @t132) (tptp.hAPP @t529 @t29)))) @t10)))))) % 0.82/1.07 (assume @p328 (forall @t199 (=> @t120 @t394))) % 0.82/1.07 (assume @p329 (forall @t209 (=> (= @t531 @t10) (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t128 @t326)) @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t128 @t326)) @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t128 tptp.c_Complex_Oii)) @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t128 tptp.c_Complex_Oii)) @t10))))) % 0.82/1.07 (assume @p330 (forall @t159 (=> @t111 (= @t32 (tptp.c_Power_Opower_Opower @t31 @t38 @t35))))) % 0.82/1.07 (assume @p331 (forall @t533 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t128) @t532))) % 0.82/1.07 (assume @p332 (forall (@list @t65 @t66) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t66 @t65) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t66 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t65))))) % 0.82/1.07 (assume @p333 (forall @t280 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t44 @t52) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t44 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t52))))) % 0.82/1.07 (assume @p334 (not (= tptp.c_Complex_Oii @t90))) % 0.82/1.07 (assume @p335 (not (= tptp.c_Complex_Oii @t326))) % 0.82/1.07 (assume @p336 (= (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex tptp.c_Complex_Oii) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex tptp.c_Complex_Oii))) % 0.82/1.07 (assume @p337 (forall @t397 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t28 @t29) @t28))) % 0.82/1.07 (assume @p338 (forall @t496 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t28) @t98))) % 0.82/1.07 (assume @p339 (forall @t496 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t98) @t28))) % 0.82/1.07 (assume @p340 (forall @t400 (=> @t535 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t98) @t28) @t473)))) % 0.82/1.07 (assume @p341 (forall @t538 (=> @t99 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t98 @t507) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t537 @t536))))) % 0.82/1.07 (assume @p342 (forall (@list @t29 @t402 @t401) (=> @t539 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t401 @t29) @t402)))) % 0.82/1.07 (assume @p343 (forall @t541 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t540 @t484) @t534))) % 0.82/1.07 (assume @p344 (forall @t522 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t542 @t506) @t534))) % 0.82/1.07 (assume @p345 (forall @t408 (= @t544 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t100 @t512)))) % 0.82/1.07 (assume @p346 (forall @t476 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t488 @t29) @t98))) % 0.82/1.07 (assume @p347 (forall @t400 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t277 @t29) @t98))) % 0.82/1.07 (assume @p348 (forall @t485 (= (tptp.hAPP (tptp.hAPP @t106 @t534) @t402) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t519 @t490)))) % 0.82/1.07 (assume @p349 (forall @t522 (= (tptp.hAPP @t403 @t534) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t521 @t520)))) % 0.82/1.07 (assume @p350 (forall @t476 (=> @t112 (=> @t545 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t534 @t98))))) % 0.82/1.07 (assume @p351 (forall @t546 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t91 @t269)) @t413))) % 0.82/1.07 (assume @p352 (forall @t476 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t488) @t28))) % 0.82/1.07 (assume @p353 (forall @t47 (= (tptp.hAPP @t547 (tptp.hAPP @t547 @t44)) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t44)))) % 0.82/1.07 (assume @p354 (forall @t400 (=> @t549 @t548))) % 0.82/1.07 (assume @p355 (forall @t554 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t551 @t553) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t552 @t550)))) % 0.82/1.07 (assume @p356 (forall (@list @t139 @t76) (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t76 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t139)) @t12) (= @t76 @t139)))) % 0.82/1.07 (assume @p357 (forall @t329 (= (= @t556 @t12) (= @t263 @t555)))) % 0.82/1.07 (assume @p358 (forall @t564 (= @t563 (and (=> @t562 @t561) (forall @t560 (=> @t559 @t558)))))) % 0.82/1.07 (assume @p359 (forall @t564 (= @t563 (not (or (and @t562 (not @t561)) (exists @t560 (and @t559 (not @t558)))))))) % 0.82/1.07 (assume @p360 (forall @t329 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t556) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t555 @t263)))) % 0.82/1.07 (assume @p361 (forall @t329 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t556 @t12) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t263 @t555)))) % 0.82/1.07 (assume @p362 (forall (@list @t139 @t566 @t565 @t31) (= (tptp.hAPP @t567 @t28) @t565))) % 0.82/1.07 (assume @p363 (= (tptp.hAPP @t547 tptp.c_Complex_Oii) @t398)) % 0.82/1.07 (assume @p364 (forall @t487 (= (tptp.hAPP @t569 @t486) (tptp.hAPP (tptp.hAPP @t571 @t570) (tptp.hAPP @t569 @t128))))) % 0.82/1.07 (assume @p365 (forall @t487 (= (tptp.hAPP (tptp.hAPP @t568 @t570) @t128) (tptp.hAPP @t569 (tptp.hAPP (tptp.hAPP @t106 @t52) @t128))))) % 0.82/1.07 (assume @p366 (forall @t400 (and (=> @t399 (= @t108 @t28)) (=> @t573 (= @t108 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 (tptp.hAPP (tptp.hAPP @t106 @t572) @t29))))))) % 0.82/1.07 (assume @p367 (forall (@list @t307 @t98) (and (=> @t399 (= @t575 @t21)) (=> @t573 (= @t575 (tptp.hAPP @t364 (tptp.hAPP @t574 @t572))))))) % 0.82/1.07 (assume @p368 (forall (@list @t98 @t29 @t31) (=> @t111 (and (=> @t255 (= @t578 @t38)) (=> @t256 (= @t578 (tptp.hAPP @t251 (tptp.hAPP @t577 @t576)))))))) % 0.82/1.07 (assume @p369 (forall @t579 (=> @t109 (=> @t112 (= (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t291 @t576)) @t44) @t292))))) % 0.82/1.07 (assume @p370 (forall @t199 (=> @t369 (= (= @t368 @t40) @t149)))) % 0.82/1.07 (assume @p371 (forall (@list @t314 @t132 @t160 @t30 @t31) (=> @t425 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t247 @t360) (tptp.c_Groups_Oplus__class_Oplus @t31 @t432 (tptp.c_Groups_Ominus__class_Ominus @t31 @t160 @t314)))))) % 0.82/1.07 (assume @p372 (forall @t487 (=> @t477 @t532))) % 0.82/1.07 (assume @p373 (forall @t137 (=> @t425 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t421 @t429) @t435)))) % 0.82/1.07 (assume @p374 (forall @t582 (=> @t112 (=> @t581 (exists (@list @t580) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t580) (= (tptp.hAPP (tptp.hAPP @t24 @t580) @t29) @t30))))))) % 0.82/1.07 (assume @p375 (forall @t582 (=> @t112 (=> @t581 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t3) (= (tptp.hAPP (tptp.hAPP @t24 @t3) @t29) @t30) (forall (@list @t583) (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t583) (= (tptp.hAPP (tptp.hAPP @t24 @t583) @t29) @t30)) (= @t583 @t3))))))))) % 0.82/1.07 (assume @p376 (not @t585)) % 0.82/1.07 (assume @p377 (forall @t586 (= (tptp.c_Complex_Oexpi (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t30 @t132)) (tptp.hAPP (tptp.hAPP @t324 (tptp.c_Complex_Oexpi @t30)) (tptp.c_Complex_Oexpi @t132))))) % 0.82/1.07 (assume @p378 (= (tptp.c_Complex_Oexpi @t90) @t326)) % 0.82/1.07 (assume @p379 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t22 @t584)) % 0.82/1.07 (assume @p380 (forall @t209 (= (tptp.hAPP (tptp.hAPP @t571 @t587) @t128) @t128))) % 0.82/1.07 (assume @p381 (forall @t209 (= (tptp.hAPP @t588 @t587) @t128))) % 0.82/1.07 (assume @p382 (forall @t131 (= @t590 (tptp.hAPP @t589 @t128)))) % 0.82/1.07 (assume @p383 (forall @t594 (= (tptp.hAPP @t589 @t593) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t592 @t591)))) % 0.82/1.07 (assume @p384 (forall @t594 (= (tptp.hAPP @t589 @t595) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t592 @t591)))) % 0.82/1.07 (assume @p385 (forall @t131 (= (tptp.hAPP (tptp.hAPP @t571 @t596) @t129) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t590)))) % 0.82/1.07 (assume @p386 (forall @t127 (= (tptp.hAPP (tptp.hAPP @t571 (tptp.hAPP @t598 @t123)) @t122) (tptp.hAPP @t598 (tptp.hAPP @t597 @t122))))) % 0.82/1.07 (assume @p387 (forall @t328 (= (tptp.hAPP (tptp.hAPP @t571 @t593) @t129) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t600 @t599)))) % 0.82/1.07 (assume @p388 (forall @t328 (= (tptp.hAPP (tptp.hAPP @t571 @t595) @t129) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t600 @t599)))) % 0.82/1.07 (assume @p389 (forall @t479 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t601 @t269) (= (= (tptp.hAPP (tptp.hAPP @t571 @t269) @t91) @t587) (and (= @t269 @t587) (= @t91 @t587)))))) % 0.82/1.07 (assume @p390 (forall @t408 (=> @t604 (=> @t603 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t602 @t100) (tptp.hAPP @t602 @t401)))))) % 0.82/1.07 (assume @p391 (forall @t408 (= @t544 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t100 @t402) @t401)))) % 0.82/1.07 (assume @p392 (forall @t609 (=> @t330 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t31 @t607) @t28) @t608)))) % 0.82/1.07 (assume @p393 (= @t610 @t584)) % 0.82/1.07 (assume @p394 (= @t22 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t611))) % 0.82/1.07 (assume @p395 (not @t614)) % 0.82/1.07 (assume @p396 (forall @t195 (=> @t42 (=> @t220 (=> @t616 (=> @t112 @t615)))))) % 0.82/1.07 (assume @p397 (forall @t121 (=> @t431 (= (tptp.c_Groups_Ominus__class_Ominus @t31 (tptp.hAPP @t291 @t618) (tptp.hAPP @t392 @t618)) (tptp.hAPP @t438 @t169))))) % 0.82/1.07 (assume @p398 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_p)))) % 0.82/1.07 (assume @p399 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t612))) % 0.82/1.07 (assume @p400 (forall @t396 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t613) @t619))) % 0.82/1.07 (assume @p401 (not (= @t621 @t90))) % 0.82/1.07 (assume @p402 (forall @t6 (= (tptp.hAPP @t620 @t3) @t622))) % 0.82/1.07 (assume @p403 (forall @t397 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t28 @t29))) % 0.82/1.07 (assume @p404 (forall @t396 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t623 @t619))) % 0.82/1.07 (assume @p405 (forall @t530 (=> @t625 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t624 tptp.v_m____)))) % 0.82/1.07 (assume @p406 (= @t613 @t621)) % 0.82/1.07 (assume @p407 (forall @t397 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t626))) % 0.82/1.07 (assume @p408 (forall @t400 (=> @t99 @t628))) % 0.82/1.07 (assume @p409 (forall @t397 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28 @t626))) % 0.82/1.07 (assume @p410 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t620))) % 0.82/1.07 (assume @p411 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t629))) % 0.82/1.07 (assume @p412 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t601) @t601)) % 0.82/1.07 (assume @p413 (forall @t631 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t414 @t630) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t414 @t630) @t601)))) % 0.82/1.07 (assume @p414 (forall @t633 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t388 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t282 @t587)) @t632))) % 0.82/1.07 (assume @p415 (forall @t209 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t596 @t128) @t601))) % 0.82/1.07 (assume @p416 (forall @t638 (=> @t637 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t636 @t98) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t634 @t542))))) % 0.82/1.07 (assume @p417 (forall @t638 (=> @t637 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t636) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t540 @t634))))) % 0.82/1.07 (assume @p418 (forall @t131 (= @t641 @t639))) % 0.82/1.07 (assume @p419 (forall @t131 (= @t639 @t641))) % 0.82/1.07 (assume @p420 (forall @t131 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t642) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t596 @t640)))) % 0.82/1.07 (assume @p421 (forall @t209 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t596) @t128))) % 0.82/1.07 (assume @p422 (forall @t476 (=> @t644 (= @t643 (tptp.c_Nat_OSuc @t534))))) % 0.82/1.07 (assume @p423 (forall @t649 (=> @t42 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t648 @t647) (=> @t646 @t645))))) % 0.82/1.07 (assume @p424 (forall @t649 (=> @t42 (=> (= @t648 @t647) (=> @t616 (=> @t646 @t133)))))) % 0.82/1.07 (assume @p425 (forall @t262 (=> @t42 (=> @t651 (=> @t650 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t34 @t260)))))) % 0.82/1.07 (assume @p426 (forall @t479 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t617 @t498) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t617 @t269) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t617 @t91))))) % 0.82/1.07 (assume @p427 (forall @t420 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t655 @t654) @t652))) % 0.82/1.07 (assume @p428 (forall @t656 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t617 @t100) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t617 @t102)))) % 0.82/1.07 (assume @p429 (forall @t383 (=> @t373 (=> @t657 @t645)))) % 0.82/1.07 (assume @p430 (forall @t382 (=> @t373 (=> @t658 @t645)))) % 0.82/1.07 (assume @p431 (forall @t361 (=> @t660 (=> @t645 (=> @t659 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t247 @t360)))))) % 0.82/1.07 (assume @p432 (forall @t177 (=> @t660 (=> @t645 @t657)))) % 0.82/1.07 (assume @p433 (forall @t177 (=> @t660 (=> @t645 @t658)))) % 0.82/1.07 (assume @p434 (forall @t234 (=> @t373 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t358 @t374) @t661)))) % 0.82/1.07 (assume @p435 (forall @t244 (=> @t373 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t355 @t372) @t661)))) % 0.82/1.07 (assume @p436 (forall @t496 (not (= @t627 @t28)))) % 0.82/1.07 (assume @p437 (forall @t496 (not (= @t28 @t627)))) % 0.82/1.07 (assume @p438 (forall (@list @t662) (not (= (tptp.c_Nat_OSuc @t662) @t28)))) % 0.82/1.07 (assume @p439 (forall (@list @t663) (not (= @t28 (tptp.c_Nat_OSuc @t663))))) % 0.82/1.07 (assume @p440 (forall @t387 (=> @t437 (=> @t424 (= @t661 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t204 @t385)))))) % 0.82/1.07 (assume @p441 (forall @t546 (= @t471 @t665))) % 0.82/1.07 (assume @p442 (forall @t479 (= @t666 @t652))) % 0.82/1.07 (assume @p443 (forall @t479 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t667 @t91) @t413))) % 0.82/1.07 (assume @p444 (forall @t400 (=> @t669 @t668))) % 0.82/1.07 (assume @p445 (forall @t400 (=> @t99 @t670))) % 0.82/1.07 (assume @p446 (forall @t479 (=> @t652 @t672))) % 0.82/1.07 (assume @p447 (forall @t400 (=> @t670 @t99))) % 0.82/1.07 (assume @p448 (forall @t397 (not (= @t29 @t626)))) % 0.82/1.07 (assume @p449 (forall @t397 (not (= @t626 @t29)))) % 0.82/1.07 (assume @p450 (forall @t397 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t626 @t29)))) % 0.82/1.07 (assume @p451 (forall @t479 (= (not @t652) @t665))) % 0.82/1.07 (assume @p452 (forall @t479 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t269 @t664) (or @t652 (= @t269 @t664))))) % 0.82/1.07 (assume @p453 (forall (@list @t673 @t674) (= (= (tptp.c_Nat_OSuc @t674) (tptp.c_Nat_OSuc @t673)) (= @t674 @t673)))) % 0.82/1.07 (assume @p454 (forall @t546 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t664 @t667) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t91 @t269)))) % 0.82/1.07 (assume @p455 (forall @t400 (=> @t669 @t675))) % 0.82/1.07 (assume @p456 (forall @t400 (=> @t675 (=> (not @t669) (= @t98 @t626))))) % 0.82/1.07 (assume @p457 (forall @t400 (=> @t670 @t669))) % 0.82/1.07 (assume @p458 (forall @t280 (=> (= (tptp.c_Nat_OSuc @t44) (tptp.c_Nat_OSuc @t52)) @t117))) % 0.82/1.07 (assume @p459 (forall (@list @t388 @t282) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t282 @t388) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t282 @t388) (not (= @t282 @t388)))))) % 0.82/1.07 (assume @p460 (forall @t280 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t44 @t52) @t117 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t52 @t44)))) % 0.82/1.07 (assume @p461 (forall @t131 (= @t642 @t676))) % 0.82/1.07 (assume @p462 (forall @t487 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t44 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t52 @t128)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t52 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t44 @t128))))) % 0.82/1.07 (assume @p463 (forall @t127 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t593 @t122) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t125 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t123 @t122))))) % 0.82/1.07 (assume @p464 (forall @t408 (=> @t677 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t402 @t100) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t402 @t401))))) % 0.82/1.07 (assume @p465 (forall (@list @t128 @t678 @t129 @t679) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t679 @t129) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t678 @t128) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t679 @t678) @t676))))) % 0.82/1.07 (assume @p466 (forall @t408 (=> @t604 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t100 @t402) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t401 @t402))))) % 0.82/1.07 (assume @p467 (forall @t680 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t129 @t128) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t129 @t587) @t128)))) % 0.82/1.07 (assume @p468 (forall @t209 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 @t128) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t601 @t681)))) % 0.82/1.07 (assume @p469 (forall @t682 (= (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 @t587 @t282) @t282) @t601) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t282 @t601)))) % 0.82/1.07 (assume @p470 (forall @t633 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t388 @t587) @t282) @t632))) % 0.82/1.07 (assume @p471 (forall @t633 (= @t683 (or @t632 (= @t388 @t282))))) % 0.82/1.07 (assume @p472 (forall @t633 (= @t683 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t388 @t282)))) % 0.82/1.07 (assume @p473 (forall @t209 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t128 @t601) @t128))) % 0.82/1.07 (assume @p474 (forall @t682 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t587 @t282) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t601 @t282)))) % 0.82/1.07 (assume @p475 (forall @t209 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t601 @t128) @t128))) % 0.82/1.07 (assume @p476 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t601 @t587)) % 0.82/1.07 (assume @p477 (forall @t209 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t681 @t128) @t601)))) % 0.82/1.07 (assume @p478 (not (= @t601 @t587))) % 0.82/1.07 (assume @p479 (forall @t400 (=> @t628 @t99))) % 0.82/1.07 (assume @p480 (forall @t400 (=> @t684 @t99))) % 0.82/1.07 (assume @p481 (forall @t400 (=> @t668 (=> @t549 @t473)))) % 0.82/1.07 (assume @p482 (forall @t408 (=> @t407 (=> @t539 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t685 @t402))))) % 0.82/1.07 (assume @p483 (forall @t400 (=> @t99 (=> (not (= @t627 @t29)) @t684)))) % 0.82/1.07 (assume @p484 (forall @t400 (=> @t99 @t668))) % 0.82/1.07 (assume @p485 (forall @t476 (=> (not @t475) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t627) @t473)))) % 0.82/1.07 (assume @p486 (forall @t546 (=> (not @t471) @t672))) % 0.82/1.07 (assume @p487 (forall @t479 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t667 @t664) @t413))) % 0.82/1.07 (assume @p488 (forall @t479 (= @t666 @t686))) % 0.82/1.07 (assume @p489 (forall @t479 (= (not @t413) @t671))) % 0.82/1.07 (assume @p490 (forall @t142 (=> @t437 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t139 @t426) (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t138 @t427))))) % 0.82/1.07 (assume @p491 (forall @t142 (=> @t437 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t427 @t138) (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t426 @t139))))) % 0.82/1.07 (assume @p492 (forall @t371 (=> @t437 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t426 @t427) @t661)))) % 0.82/1.07 (assume @p493 (forall @t137 (=> @t437 (=> @t645 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t429 @t421))))) % 0.82/1.07 (assume @p494 (forall @t400 (= @t688 @t687))) % 0.82/1.07 (assume @p495 (forall @t400 (= @t688 @t689))) % 0.82/1.07 (assume @p496 (forall @t400 (= @t687 @t689))) % 0.82/1.07 (assume @p497 (forall @t493 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t91 @t28) @t92))) % 0.82/1.07 (assume @p498 (forall @t420 (= (= @t655 @t654) @t270))) % 0.82/1.07 (assume @p499 (forall @t485 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t643 (tptp.c_Nat_OSuc @t402)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t534 @t402)))) % 0.82/1.07 (assume @p500 (forall @t400 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t627 @t626) @t534))) % 0.82/1.07 (assume @p501 (forall @t280 (=> @t477 @t690))) % 0.82/1.07 (assume @p502 (forall @t400 (=> (or @t99 @t473) @t669))) % 0.82/1.07 (assume @p503 (forall @t400 (=> @t669 (=> @t474 @t99)))) % 0.82/1.07 (assume @p504 (forall @t400 (=> @t99 @t669))) % 0.82/1.07 (assume @p505 (forall @t479 (= @t652 @t686))) % 0.82/1.07 (assume @p506 (forall @t479 (= @t413 (and @t652 @t478)))) % 0.82/1.07 (assume @p507 (forall @t329 (= @t281 (and @t693 @t692)))) % 0.82/1.07 (assume @p508 (forall @t329 (= @t693 (or @t281 @t691)))) % 0.82/1.07 (assume @p509 (forall @t487 (=> @t690 @t694))) % 0.82/1.07 (assume @p510 (forall @t533 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t44 @t128) @t694))) % 0.82/1.07 (assume @p511 (forall @t541 (=> @t696 (not (=> @t669 (not @t695)))))) % 0.82/1.07 (assume @p512 (forall @t541 (=> @t696 @t669))) % 0.82/1.07 (assume @p513 (forall @t541 (=> @t696 @t695))) % 0.82/1.07 (assume @p514 (forall @t511 (=> @t698 (=> @t697 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t510 @t509))))) % 0.82/1.07 (assume @p515 (forall @t408 (=> @t698 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t510 @t512)))) % 0.82/1.07 (assume @p516 (forall @t514 (=> @t698 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t100 @t513)))) % 0.82/1.07 (assume @p517 (forall @t514 (=> @t698 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t100 @t515)))) % 0.82/1.07 (assume @p518 (forall @t420 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t483 @t482) @t652))) % 0.82/1.07 (assume @p519 (forall @t479 (= @t652 (exists @t701 (= @t91 @t700))))) % 0.82/1.07 (assume @p520 (forall @t476 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t488))) % 0.82/1.07 (assume @p521 (forall @t476 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t277))) % 0.82/1.07 (assume @p522 (forall @t496 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t702))) % 0.82/1.07 (assume @p523 (forall @t496 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 (tptp.hAPP @t107 @t702)))) % 0.82/1.07 (assume @p524 (forall @t408 (=> @t698 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t412 @t410)))) % 0.82/1.07 (assume @p525 (forall @t408 (=> @t698 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t405 @t404)))) % 0.82/1.07 (assume @p526 (forall @t511 (=> @t698 (=> @t697 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t412 (tptp.hAPP @t409 @t507)))))) % 0.82/1.07 (assume @p527 (forall @t420 (=> @t706 (=> @t705 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t704 @t703) @t652))))) % 0.82/1.07 (assume @p528 (forall @t522 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t402 @t98) (=> @t695 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t402) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t402)) @t534))))) % 0.82/1.07 (assume @p529 (forall @t420 (=> @t706 (=> @t705 (= (= @t704 @t703) @t270))))) % 0.82/1.07 (assume @p530 (forall @t656 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t100 @t29) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t100)) @t100)))) % 0.82/1.07 (assume @p531 (forall @t538 (=> @t669 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t507) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t507))))) % 0.82/1.07 (assume @p532 (forall @t538 (=> @t669 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t537 @t536)))) % 0.82/1.07 (assume @p533 (forall @t400 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t534 @t98))) % 0.82/1.07 (assume @p534 (forall @t487 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t44 @t52) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t128 @t44) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t128 @t52))))) % 0.82/1.07 (assume @p535 (forall (@list @t29 @t66 @t31) (=> @t42 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t66) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t66 @t38) (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.hAPP (tptp.hAPP @t32 @t66) @t626) @t66)))))) % 0.82/1.07 (assume @p536 (forall @t262 (=> @t42 (=> @t651 (=> @t616 (=> @t707 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t260 @t34))))))) % 0.82/1.07 (assume @p537 (forall @t268 (=> @t42 (=> @t267 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t266 @t265) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t76 @t263)))))) % 0.82/1.07 (assume @p538 (forall @t110 (=> @t42 (=> @t113 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t105 @t34) @t669))))) % 0.82/1.07 (assume @p539 (forall (@list @t52 @t29 @t307 @t31) (=> @t109 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t307 @t29) (= (tptp.hAPP @t392 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t626 @t307)) (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t392 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t307))) @t52)))))) % 0.82/1.07 (assume @p540 (forall (@list @t44 @t307 @t29 @t31) (=> @t431 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 (tptp.hAPP (tptp.hAPP @t710 (tptp.c_Polynomial_Omonom @t31 @t38 @t29)) @t307)) @t44) (tptp.hAPP (tptp.hAPP @t35 @t292) @t709))))) % 0.82/1.07 (assume @p541 (forall (@list @t91 @t139 @t566 @t565 @t31) (= (tptp.hAPP @t567 @t664) (tptp.hAPP (tptp.hAPP @t566 @t139) (tptp.hAPP @t567 @t91))))) % 0.82/1.07 (assume @p542 (forall @t64 (=> @t246 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t245)))) % 0.82/1.07 (assume @p543 (forall @t142 (=> @t216 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t151) (or (and @t714 @t713) (and @t712 @t711)))))) % 0.82/1.07 (assume @p544 (forall @t142 (=> @t216 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t151 @t40) (or (and @t714 @t711) (and @t712 @t713)))))) % 0.82/1.07 (assume @p545 (forall @t137 (=> @t716 (=> @t616 (=> @t646 @t715))))) % 0.82/1.07 (assume @p546 (forall @t137 (=> @t716 (=> @t616 (=> @t718 @t717))))) % 0.82/1.07 (assume @p547 (forall @t137 (=> @t716 (=> @t616 (=> @t718 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t236 @t40)))))) % 0.82/1.07 (assume @p548 (forall @t137 (=> @t716 (=> @t719 (=> @t646 @t717))))) % 0.82/1.07 (assume @p549 (forall @t137 (=> @t466 (=> @t719 (=> @t718 @t715))))) % 0.82/1.07 (assume @p550 (forall @t177 (=> @t722 (=> @t645 (=> @t721 @t720))))) % 0.82/1.07 (assume @p551 (forall @t177 (=> @t722 @t724))) % 0.82/1.07 (assume @p552 (forall @t177 (=> (tptp.class_Rings_Oordered__comm__semiring @t31) @t724))) % 0.82/1.07 (assume @p553 (forall @t217 (=> @t466 (=> @t726 (=> @t725 @t720))))) % 0.82/1.07 (assume @p554 (forall @t217 (=> @t466 (=> @t726 (=> @t725 @t723))))) % 0.82/1.07 (assume @p555 (forall @t361 (=> @t722 (=> @t645 (=> @t659 (=> @t616 @t728)))))) % 0.82/1.07 (assume @p556 (forall @t361 (=> @t722 (=> @t645 (=> @t659 (=> @t646 @t728)))))) % 0.82/1.07 (assume @p557 (forall @t137 (=> @t466 (=> (or (and @t616 @t646) (and @t719 @t718)) @t715)))) % 0.82/1.07 (assume @p558 (forall @t137 (=> @t716 (=> (or (and @t616 @t718) (and @t719 @t646)) @t717)))) % 0.82/1.07 (assume @p559 (forall @t197 (=> @t258 (= (tptp.hAPP @t253 @t626) @t40)))) % 0.82/1.07 (assume @p560 (forall @t199 (=> @t369 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t368) @t714)))) % 0.82/1.07 (assume @p561 (forall @t199 (=> @t369 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t368 @t40) @t712)))) % 0.82/1.07 (assume @p562 (forall @t137 (=> @t320 (=> @t616 (=> @t646 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t162)))))) % 0.82/1.07 (assume @p563 (forall @t301 (=> @t320 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t76) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t263) (= @t450 @t317)))))) % 0.82/1.07 (assume @p564 (forall @t177 (=> @t320 (=> @t616 (=> @t730 @t729))))) % 0.82/1.07 (assume @p565 (forall (@list @t30 @t132 @t160 @t31) (=> @t320 (=> @t721 (=> @t726 @t729))))) % 0.82/1.07 (assume @p566 (forall @t137 (=> @t320 (=> @t719 (=> @t718 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t162 @t40)))))) % 0.82/1.07 (assume @p567 (forall @t159 (=> @t42 (not (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t40))))) % 0.82/1.07 (assume @p568 (forall @t159 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t38)))) % 0.82/1.07 (assume @p569 (forall @t361 (=> @t376 (=> @t220 (=> @t659 @t379))))) % 0.82/1.07 (assume @p570 (forall @t361 (=> @t376 (=> @t645 @t381)))) % 0.82/1.07 (assume @p571 (forall @t142 (=> @t437 (= @t661 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t423 @t40))))) % 0.82/1.07 (assume @p572 (forall @t733 (=> @t310 (= @t732 @t731)))) % 0.82/1.07 (assume @p573 (forall @t733 (=> @t310 (= @t731 @t732)))) % 0.82/1.07 (assume @p574 (forall @t733 (=> @t310 (= (tptp.hAPP @t393 @t44) @t732)))) % 0.82/1.07 (assume @p575 (forall @t43 (=> @t111 (= @t648 @t37)))) % 0.82/1.07 (assume @p576 (forall @t43 (=> @t109 (= @t648 @t196)))) % 0.82/1.07 (assume @p577 (forall @t199 (=> @t369 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t427 @t139) @t714)))) % 0.82/1.07 (assume @p578 (forall @t199 (=> @t437 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t427 @t40) @t714)))) % 0.82/1.07 (assume @p579 (forall @t199 (=> @t369 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t139 @t427) @t712)))) % 0.82/1.07 (assume @p580 (forall @t199 (=> @t437 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t427) @t712)))) % 0.82/1.07 (assume @p581 (forall @t43 (=> @t42 (=> @t616 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t34))))) % 0.82/1.07 (assume @p582 (forall @t195 (=> @t42 (=> @t645 (=> @t616 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t34 @t192)))))) % 0.82/1.07 (assume @p583 (forall @t47 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t44 @t618) (or (= @t44 @t28) (= @t44 @t617))))) % 0.82/1.07 (assume @p584 (forall @t479 (= @t666 (or @t494 (exists (@list @t734) (and (= @t269 (tptp.c_Nat_OSuc @t734)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t734 @t91))))))) % 0.82/1.07 (assume @p585 (forall @t493 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t91 @t617) @t92))) % 0.82/1.07 (assume @p586 (forall @t493 (= @t492 (exists @t736 (= @t91 (tptp.c_Nat_OSuc @t735)))))) % 0.82/1.07 (assume @p587 (forall @t479 (= (= @t495 @t617) @t739))) % 0.82/1.07 (assume @p588 (forall @t479 (= (= @t617 @t495) @t739))) % 0.82/1.07 (assume @p589 (forall @t43 (=> @t42 (=> @t650 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t34))))) % 0.82/1.07 (assume @p590 (forall @t479 (= (= @t498 @t617) (and @t738 @t737)))) % 0.82/1.07 (assume @p591 (forall @t199 (=> @t88 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t141) @t714)))) % 0.82/1.07 (assume @p592 (forall @t199 (=> @t88 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t141 @t40) @t712)))) % 0.82/1.07 (assume @p593 (forall @t479 (= @t413 (exists @t701 (= @t91 (tptp.c_Nat_OSuc @t700)))))) % 0.82/1.07 (assume @p594 (forall @t740 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t100))))) % 0.82/1.07 (assume @p595 (forall @t740 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t100 @t98))))) % 0.82/1.07 (assume @p596 (= @t21 @t617)) % 0.82/1.07 (assume @p597 (forall @t420 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t655 @t654) @t413))) % 0.82/1.07 (assume @p598 (forall @t400 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t534 @t627))) % 0.82/1.07 (assume @p599 (forall @t400 (= (tptp.hAPP (tptp.hAPP @t106 @t627) @t29) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t108)))) % 0.82/1.07 (assume @p600 (forall @t400 (= (tptp.hAPP @t107 @t626) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t108)))) % 0.82/1.07 (assume @p601 (forall @t397 (= @t626 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t21 @t29)))) % 0.82/1.07 (assume @p602 (forall @t397 (= @t626 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t21)))) % 0.82/1.07 (assume @p603 (forall @t400 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t626) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t572 @t29)))) % 0.82/1.07 (assume @p604 (forall @t397 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t626 @t21) @t29))) % 0.82/1.07 (assume @p605 (forall @t479 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t269 @t91) @t28) @t652))) % 0.82/1.07 (assume @p606 (forall @t400 (=> @t669 @t535))) % 0.82/1.07 (assume @p607 (forall @t152 (=> @t80 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t72)))) % 0.82/1.07 (assume @p608 (forall @t741 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t132) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t160 @t30) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t160) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t132 @t160)))))) % 0.82/1.07 (assume @p609 (forall @t420 (=> @t706 (=> @t705 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t704 @t703) @t413))))) % 0.82/1.07 (assume @p610 (forall @t744 (=> @t637 (= @t743 @t742)))) % 0.82/1.07 (assume @p611 (forall @t744 (=> @t637 (= @t742 @t743)))) % 0.82/1.07 (assume @p612 (forall @t744 (=> @t637 (= @t746 @t745)))) % 0.82/1.07 (assume @p613 (forall @t554 (=> @t748 (= (= @t747 @t414) (= @t550 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t414 @t551)))))) % 0.82/1.07 (assume @p614 (forall @t476 (=> @t644 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t534 @t29) @t98)))) % 0.82/1.07 (assume @p615 (forall (@list @t551 @t550 @t414) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t414 @t550) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t551 @t553) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t552 @t550))))) % 0.82/1.07 (assume @p616 (forall @t744 (=> @t637 (= @t745 @t746)))) % 0.82/1.07 (assume @p617 (forall @t476 (=> @t644 @t548))) % 0.82/1.07 (assume @p618 (forall (@list @t98 @t29 @t402) (=> @t695 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t488 @t402))))) % 0.82/1.07 (assume @p619 (forall (@list @t551 @t414 @t550) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t553 @t551) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t550 @t552)))) % 0.82/1.07 (assume @p620 (forall @t744 (=> @t637 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t100 @t635) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t510 @t401))))) % 0.82/1.07 (assume @p621 (forall @t329 (= @t693 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t76 @t263) @t12)))) % 0.82/1.07 (assume @p622 (forall (@list @t269 @t76) (= (= (tptp.hAPP @t95 @t269) @t617) (or @t494 (= @t76 @t617))))) % 0.82/1.07 (assume @p623 (forall @t397 (= (tptp.hAPP (tptp.hAPP @t94 @t617) @t29) @t617))) % 0.82/1.07 (assume @p624 (forall (@list @t44 @t50) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.hAPP @t51 @t50)) (tptp.hAPP @t53 @t44)))) % 0.82/1.07 (assume @p625 (forall @t47 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t749) @t749))) % 0.82/1.07 (assume @p626 (forall @t234 (=> @t216 (=> @t239 (= @t750 @t661))))) % 0.82/1.07 (assume @p627 (forall @t234 (=> @t216 (=> @t233 (= @t750 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t138 @t139)))))) % 0.82/1.07 (assume @p628 (forall @t361 (=> @t222 (=> @t220 (=> @t380 (=> @t227 @t752)))))) % 0.82/1.07 (assume @p629 (forall @t361 (=> @t222 (=> @t220 (=> @t380 (=> @t616 @t752)))))) % 0.82/1.07 (assume @p630 (forall @t361 (=> @t222 (=> @t220 (=> @t659 (=> @t616 (=> @t219 @t751))))))) % 0.82/1.07 (assume @p631 (forall @t361 (=> @t222 (=> @t645 (=> @t380 (=> @t41 @t752)))))) % 0.82/1.07 (assume @p632 (forall @t382 (=> @t755 @t754))) % 0.82/1.07 (assume @p633 (forall @t382 (=> @t222 @t754))) % 0.82/1.07 (assume @p634 (forall @t383 (=> @t755 @t756))) % 0.82/1.07 (assume @p635 (forall @t383 (=> @t222 @t756))) % 0.82/1.07 (assume @p636 (forall @t382 (=> @t222 (=> @t720 @t757)))) % 0.82/1.07 (assume @p637 (forall @t383 (=> @t222 (=> @t723 @t757)))) % 0.82/1.07 (assume @p638 (forall @t137 (=> @t320 (=> @t41 (=> @t646 @t321))))) % 0.82/1.07 (assume @p639 (forall @t137 (=> @t320 (=> @t616 @t322)))) % 0.82/1.07 (assume @p640 (forall @t177 (=> @t320 (=> @t41 (=> @t730 @t248))))) % 0.82/1.07 (assume @p641 (forall @t177 (=> @t320 (=> @t616 @t250)))) % 0.82/1.07 (assume @p642 (forall @t137 (=> @t320 (=> @t225 (=> @t718 @t318))))) % 0.82/1.07 (assume @p643 (forall @t137 (=> @t320 (=> @t719 @t319)))) % 0.82/1.07 (assume @p644 (forall @t121 (=> @t246 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t40 @t303)))) % 0.82/1.07 (assume @p645 (forall @t301 (=> @t216 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t300 @t40) @t317)))) % 0.82/1.07 (assume @p646 (forall @t121 (=> @t120 (=> @t760 (=> @t759 (=> @t758 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t68 @t44))))))) % 0.82/1.07 (assume @p647 (forall @t121 (=> @t120 (=> @t760 (=> @t759 (=> @t758 (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.hAPP @t166 @t44) @t44))))))) % 0.82/1.07 (assume @p648 (forall @t43 (=> @t42 (=> @t113 (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t648))))) % 0.82/1.07 (assume @p649 (forall @t649 (=> @t42 (=> @t615 (=> @t646 @t220))))) % 0.82/1.07 (assume @p650 (forall @t457 (=> @t466 (= @t761 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t204 @t458))))) % 0.82/1.07 (assume @p651 (forall @t457 (=> @t466 (= @t761 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t453 @t385))))) % 0.82/1.07 (assume @p652 (forall @t301 (=> @t439 (= (= (tptp.hAPP (tptp.hAPP @t32 @t76) @t618) (tptp.hAPP (tptp.hAPP @t32 @t263) @t618)) (or @t691 (= @t76 @t762)))))) % 0.82/1.07 (assume @p653 (forall @t137 (=> @t89 (=> @t645 (=> @t41 @t763))))) % 0.82/1.07 (assume @p654 (forall @t137 (=> @t89 (=> @t645 (=> @t224 @t763))))) % 0.82/1.07 (assume @p655 (forall @t137 (=> @t89 (=> @t764 (=> @t41 @t726))))) % 0.82/1.07 (assume @p656 (forall @t137 (=> @t89 (=> @t764 (=> @t224 @t726))))) % 0.82/1.07 (assume @p657 (forall @t81 (=> @t88 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t87 @t38) (or @t765 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t76)))))) % 0.82/1.07 (assume @p658 (forall @t476 (=> @t767 (=> @t766 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t617 @t108))))) % 0.82/1.07 (assume @p659 (forall @t476 (=> @t767 (=> @t766 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t491))))) % 0.82/1.07 (assume @p660 (forall @t476 (=> @t767 (=> @t766 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t108))))) % 0.82/1.07 (assume @p661 (forall @t397 (=> @t112 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t617)) @t29)))) % 0.82/1.07 (assume @p662 (forall (@list @t100 @t29) (=> @t112 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t685) @t29)))) % 0.82/1.07 (assume @p663 (forall @t81 (=> @t80 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t79 @t12) @t77)))) % 0.82/1.07 (assume @p664 (forall @t420 (=> @t419 (= @t768 @t652)))) % 0.82/1.07 (assume @p665 (forall @t481 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t504 @t503) @t769))) % 0.82/1.07 (assume @p666 (forall @t420 (= @t768 @t769))) % 0.82/1.07 (assume @p667 (forall @t121 (=> @t74 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t69 @t279)))) % 0.82/1.07 (assume @p668 (forall @t288 (=> @t287 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t286 @t284) @t693)))) % 0.82/1.07 (assume @p669 (forall @t288 (=> @t287 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t770 @t76) (tptp.hAPP @t770 @t263)) @t693)))) % 0.82/1.07 (assume @p670 (forall @t121 (=> @t80 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t278 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t72 @t70))))) % 0.82/1.07 (assume @p671 (forall @t137 (=> @t80 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t447 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t58 @t771))))) % 0.82/1.07 (assume @p672 (forall @t777 (=> @t748 (= @t776 (= @t269 @t773))))) % 0.82/1.07 (assume @p673 (forall (@list @t29 @t98 @t50 @t401 @t100) (=> @t698 (= @t778 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t401 @t100)) @t50) @t29)))))) % 0.82/1.07 (assume @p674 (forall @t777 (=> @t748 (= @t779 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t269 @t773))))) % 0.82/1.07 (assume @p675 (forall @t782 (=> @t781 (= @t776 (= @t780 @t91))))) % 0.82/1.07 (assume @p676 (forall (@list @t29 @t98 @t50 @t100 @t401) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t401 @t100) (= @t778 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t106 @t543) @t50) @t98) @t29))))) % 0.82/1.07 (assume @p677 (forall @t782 (=> @t781 (= @t779 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t780 @t91))))) % 0.82/1.07 (assume @p678 (forall @t294 (=> @t289 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t293 @t290)))) % 0.82/1.07 (assume @p679 (forall @t137 (=> @t80 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t783 (tptp.c_RealVector_Onorm__class_Onorm @t31 @t162))))) % 0.82/1.07 (assume @p680 (forall @t137 (=> @t80 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t783 @t447)))) % 0.82/1.07 (assume @p681 (forall @t329 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t12 @t556) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t555 @t263)))) % 0.82/1.07 (assume @p682 (forall @t329 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t556 @t12) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t263 @t555)))) % 0.82/1.07 (assume @p683 (forall @t680 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t129) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t129 @t128)) @t531)))) % 0.82/1.07 (assume @p684 (forall (@list @t30 @t132) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t132 @t30)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t132)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t30)))) % 0.82/1.07 (assume @p685 (forall @t43 (=> @t42 (=> @t41 (=> @t39 (tptp.c_Orderings_Oord__class_Oless @t31 @t648 @t38)))))) % 0.82/1.07 (assume @p686 (forall @t789 (=> (tptp.class_Rings_Olinordered__semiring__1 @t31) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t44 @t30) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t52 @t30) (=> @t788 (=> @t787 (=> @t786 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t785 @t30))))))))) % 0.82/1.07 (assume @p687 (forall @t81 (=> @t88 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t87) (and @t86 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t76 @t38)))))) % 0.82/1.07 (assume @p688 (forall @t81 (=> @t88 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t87 @t38) (or @t765 (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t76)))))) % 0.82/1.07 (assume @p689 (forall @t64 (=> @t89 (=> @t41 (=> @t707 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t59)))))) % 0.82/1.07 (assume @p690 (forall @t649 (=> @t42 (=> (= @t34 @t192) (=> @t616 (=> @t646 (=> @t112 @t133))))))) % 0.82/1.07 (assume @p691 (forall @t397 (=> @t112 (= @t29 @t790)))) % 0.82/1.07 (assume @p692 (forall @t397 (=> @t112 (= @t790 @t29)))) % 0.82/1.07 (assume @p693 (forall @t400 (and (=> @t399 (= @t277 @t29)) (=> @t573 (= @t277 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t572 @t29))))))) % 0.82/1.07 (assume @p694 (forall @t361 (=> @t80 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 (tptp.c_Groups_Ominus__class_Ominus @t31 @t162 @t348)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 (tptp.c_Groups_Ominus__class_Ominus @t31 @t30 @t160)) (tptp.c_RealVector_Onorm__class_Onorm @t31 (tptp.c_Groups_Ominus__class_Ominus @t31 @t132 @t314))))))) % 0.82/1.07 (assume @p695 (forall @t777 (=> @t748 (= @t791 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t269 @t773))))) % 0.82/1.07 (assume @p696 (forall @t782 (=> @t781 (= @t791 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t780 @t91))))) % 0.82/1.07 (assume @p697 (forall @t789 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t31) (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t44 @t30) (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t52 @t30) (=> @t788 (=> @t787 (=> @t786 (tptp.c_Orderings_Oord__class_Oless @t31 @t785 @t30))))))))) % 0.82/1.07 (assume @p698 (exists @t530 (= (tptp.hAPP @t629 @t528) @t90))) % 0.82/1.07 (assume @p699 (exists @t796 (and @t795 @t793))) % 0.82/1.07 (assume @p700 (=> @t614 (exists @t530 (= (tptp.hAPP @t612 @t528) @t90)))) % 0.82/1.07 (assume @p701 (forall @t530 (= @t800 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t799 (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP @t529 tptp.v_k____)) (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_a____ tptp.v_s____)) @t528)))))) % 0.82/1.07 (assume @p702 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_s____) tptp.v_k____) @t21) @t801)) % 0.82/1.07 (assume @p703 (= @t621 (tptp.hAPP (tptp.hAPP @t324 @t799) @t621))) % 0.82/1.07 (assume @p704 (forall @t530 (= (tptp.hAPP @t620 @t528) (tptp.hAPP (tptp.hAPP @t324 @t800) @t621)))) % 0.82/1.07 (assume @p705 (= @t799 @t326)) % 0.82/1.07 (assume @p706 (= @t610 @t801)) % 0.82/1.07 (assume @p707 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t798))) % 0.82/1.07 (assume @p708 (forall (@list @t388) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t798 @t388)) @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t620 @t388)) @t623)))) % 0.82/1.07 (assume @p709 (forall @t397 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t29))) % 0.82/1.07 (assume @p710 (forall @t400 (or @t669 @t644))) % 0.82/1.07 (assume @p711 (forall @t400 (=> @t473 @t669))) % 0.82/1.07 (assume @p712 (forall @t408 (=> @t698 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t401 @t402) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t100 @t402))))) % 0.82/1.07 (assume @p713 (forall @t400 (=> @t669 (=> @t644 @t473)))) % 0.82/1.07 (assume @p714 (forall @t802 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t129 @t129))) % 0.82/1.07 (assume @p715 (forall @t131 (or @t804 @t803))) % 0.82/1.07 (assume @p716 (forall @t408 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t100 @t401) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t401 @t402) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t100 @t402))))) % 0.82/1.07 (assume @p717 (forall @t131 (=> @t804 (=> @t803 @t805)))) % 0.82/1.07 (assume @p718 (forall @t802 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t129 @t129))) % 0.82/1.07 (assume @p719 (forall @t131 (or @t807 @t806))) % 0.82/1.07 (assume @p720 (forall @t408 (=> @t677 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t401 @t402) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t100 @t402))))) % 0.82/1.07 (assume @p721 (forall @t131 (=> @t807 (=> @t806 @t805)))) % 0.82/1.07 (assume @p722 (forall (@list @t2 @t809 @t31) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t31 @t809 @t2) (forall @t808 (= @t5 (tptp.hAPP @t2 @t583)))))) % 0.82/1.07 (assume @p723 (forall @t814 (=> @t813 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t605 @t812 @t811) @t606) @t810)))) % 0.82/1.07 (assume @p724 (=> @t585 (exists @t396 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t798 @t395)) @t10)))) % 0.82/1.07 (assume @p725 (exists @t736 (and @t816 @t815))) % 0.82/1.07 (assume @p726 (forall (@list @t607) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t607) @t584) (=> (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t817)) (exists @t530 (= (tptp.hAPP @t817 @t528) @t90)))))) % 0.82/1.07 (assume @p727 (not (forall @t808 (= (tptp.hAPP @t798 @t3) (tptp.hAPP @t798 @t583))))) % 0.82/1.07 (assume @p728 (forall (@list @t44 @t66 @t31) (=> @t63 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t66 @t72) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t12 @t66) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t44)) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t66))))))) % 0.82/1.07 (assume @p729 (forall @t821 (=> @t820 (=> @t819 (=> @t818 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t306 @t587)))))) % 0.82/1.07 (assume @p730 (forall @t821 (=> @t820 (=> @t819 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t66 @t30) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t587 @t306)))))) % 0.82/1.07 (assume @p731 (forall @t834 (=> @t833 (=> @t830 (=> @t828 (=> @t827 (=> @t825 (=> @t824 @t823)))))))) % 0.82/1.07 (assume @p732 (forall @t837 (=> @t836 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t66 @t601) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t132 @t66) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t132 @t826) @t835)))))) % 0.82/1.07 (assume @p733 (forall @t834 (=> @t833 (=> @t839 (=> @t838 (=> @t818 (=> @t825 (=> @t824 @t835)))))))) % 0.82/1.07 (assume @p734 (forall @t837 (=> @t836 (=> @t827 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t826 @t132) (=> @t828 @t823)))))) % 0.82/1.07 (assume @p735 (forall @t840 (=> @t830 (=> @t827 (=> @t825 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t822 @t601)))))) % 0.82/1.07 (assume @p736 (forall @t840 (=> @t839 (=> @t838 (=> @t825 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 @t822)))))) % 0.82/1.07 (assume @p737 (forall @t845 (=> @t813 (= (tptp.hAPP (tptp.hAPP @t710 @t811) @t306) (tptp.c_Groups_Oplus__class_Oplus @t605 @t844 @t843))))) % 0.82/1.07 (assume @p738 (forall @t847 (=> @t813 (= (tptp.hAPP @t841 (tptp.c_Polynomial_OpCons @t31 @t30 @t306)) (tptp.c_Groups_Oplus__class_Oplus @t605 @t846 @t843))))) % 0.82/1.07 (assume @p739 (forall @t848 (=> @t425 (= (tptp.c_Groups_Ominus__class_Ominus @t605 @t307 @t606) @t307)))) % 0.82/1.07 (assume @p740 (forall @t849 (=> @t425 (= (tptp.c_Groups_Ominus__class_Ominus @t605 @t606 @t306) (tptp.c_Groups_Ouminus__class_Ouminus @t605 @t306))))) % 0.82/1.07 (assume @p741 (forall @t159 (=> @t425 (= (tptp.c_Groups_Ouminus__class_Ouminus @t605 @t606) @t606)))) % 0.82/1.07 (assume @p742 (forall (@list @t850 @t607 @t31) (=> @t853 (= (= @t852 (tptp.c_Polynomial_Opoly @t31 @t850)) @t851)))) % 0.82/1.07 (assume @p743 (forall (@list @t850 @t138 @t607 @t139 @t31) (=> @t330 (= (= @t854 (tptp.c_Polynomial_OpCons @t31 @t138 @t850)) (and @t140 @t851))))) % 0.82/1.07 (assume @p744 (forall @t858 (=> @t857 (= (tptp.c_Polynomial_Osmult @t31 @t30 @t856) @t855)))) % 0.82/1.07 (assume @p745 (forall @t845 (=> @t857 (= (tptp.c_Polynomial_Osmult @t31 @t30 @t859) (tptp.c_Groups_Ominus__class_Ominus @t605 @t846 @t844))))) % 0.82/1.07 (assume @p746 (forall (@list @t138 @t91 @t139 @t31) (=> @t330 (= (= @t860 (tptp.c_Polynomial_Omonom @t31 @t138 @t91)) @t140)))) % 0.82/1.07 (assume @p747 (forall @t152 (=> @t310 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t861) @t44) @t38)))) % 0.82/1.07 (assume @p748 (forall @t863 (=> @t857 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t859) @t44) (tptp.c_Groups_Ominus__class_Ominus @t31 @t709 @t862))))) % 0.82/1.07 (assume @p749 (forall @t865 (=> @t425 (= (tptp.c_Groups_Ominus__class_Ominus @t605 @t811 @t864) (tptp.c_Polynomial_OpCons @t31 @t432 @t859))))) % 0.82/1.07 (assume @p750 (forall @t867 (=> @t813 (= (tptp.c_Polynomial_Osmult @t31 @t30 @t866) (tptp.c_Polynomial_Osmult @t31 @t145 @t307))))) % 0.82/1.07 (assume @p751 (forall (@list @t44 @t307 @t31) (=> @t857 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t856) @t44) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t709))))) % 0.82/1.07 (assume @p752 (forall (@list @t44 @t29 @t307 @t31) (=> @t310 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 (tptp.hAPP (tptp.hAPP @t868 @t307) @t29)) @t44) (tptp.hAPP (tptp.hAPP @t32 @t709) @t29))))) % 0.82/1.07 (assume @p753 (forall (@list @t307 @t30 @t809) (=> (tptp.class_Groups_Oab__group__add @t809) (= (tptp.c_Groups_Ouminus__class_Ouminus @t869 (tptp.c_Polynomial_OpCons @t809 @t30 @t307)) (tptp.c_Polynomial_OpCons @t809 (tptp.c_Groups_Ouminus__class_Ouminus @t809 @t30) (tptp.c_Groups_Ouminus__class_Ouminus @t869 @t307)))))) % 0.82/1.07 (assume @p754 (forall @t858 (=> @t425 (= (tptp.c_Groups_Ouminus__class_Ouminus @t605 @t811) (tptp.c_Polynomial_OpCons @t31 @t421 @t856))))) % 0.82/1.07 (assume @p755 (forall @t848 (=> @t310 (= (tptp.c_Polynomial_Osmult @t31 @t38 @t307) @t307)))) % 0.82/1.07 (assume @p756 (forall @t867 (=> @t857 (= (tptp.c_Polynomial_Osmult @t31 @t432 @t307) (tptp.c_Groups_Ominus__class_Ominus @t605 @t846 @t866))))) % 0.82/1.07 (assume @p757 (forall @t858 (=> @t857 (= (tptp.c_Polynomial_Osmult @t31 @t421 @t307) @t855)))) % 0.82/1.07 (assume @p758 (forall @t609 (=> @t853 (= (= @t852 @t870) @t608)))) % 0.82/1.07 (assume @p759 (forall @t64 (=> @t813 (= (tptp.c_Polynomial_Osmult @t31 @t30 @t606) @t606)))) % 0.82/1.07 (assume @p760 (forall @t649 (=> @t425 (= (tptp.c_Groups_Ominus__class_Ominus @t605 @t872 @t871) (tptp.c_Polynomial_Omonom @t31 @t432 @t29))))) % 0.82/1.07 (assume @p761 (forall @t43 (=> @t425 (= (tptp.c_Groups_Ouminus__class_Ouminus @t605 @t872) (tptp.c_Polynomial_Omonom @t31 @t421 @t29))))) % 0.82/1.07 (assume @p762 (forall @t848 (=> @t367 (= (tptp.c_Groups_Oplus__class_Oplus @t605 @t307 @t606) @t307)))) % 0.82/1.07 (assume @p763 (forall @t849 (=> @t367 (= (tptp.c_Groups_Oplus__class_Oplus @t605 @t606 @t306) @t306)))) % 0.82/1.07 (assume @p764 (forall @t849 (=> @t813 (= (tptp.hAPP (tptp.hAPP @t710 @t606) @t306) @t606)))) % 0.82/1.07 (assume @p765 (forall @t848 (=> @t813 (= (tptp.hAPP @t841 @t606) @t606)))) % 0.82/1.07 (assume @p766 (forall @t845 (=> @t813 (= (tptp.c_Polynomial_Osmult @t31 @t30 @t873) (tptp.c_Groups_Oplus__class_Oplus @t605 @t846 @t844))))) % 0.82/1.07 (assume @p767 (forall @t847 (=> @t813 (= (tptp.hAPP @t841 @t844) @t874)))) % 0.82/1.07 (assume @p768 (forall @t845 (=> @t813 (= (tptp.hAPP (tptp.hAPP @t710 @t846) @t306) @t874)))) % 0.82/1.07 (assume @p769 (forall (@list @t66 @t306 @t307 @t31) (=> @t813 (= (tptp.hAPP (tptp.hAPP @t710 @t873) @t66) (tptp.c_Groups_Oplus__class_Oplus @t605 (tptp.hAPP @t841 @t66) (tptp.hAPP @t875 @t66)))))) % 0.82/1.07 (assume @p770 (forall @t152 (=> @t813 (= (tptp.hAPP @t870 @t44) @t40)))) % 0.82/1.07 (assume @p771 (forall @t159 (=> @t330 (= (tptp.c_Polynomial_OpCons @t31 @t40 @t606) @t606)))) % 0.82/1.07 (assume @p772 (forall @t876 (=> @t330 (= (= @t854 @t606) (and @t149 @t608))))) % 0.82/1.07 (assume @p773 (forall @t848 (=> @t813 (= (tptp.c_Polynomial_Osmult @t31 @t40 @t307) @t606)))) % 0.82/1.07 (assume @p774 (forall @t876 (=> @t439 (= (= @t877 @t606) (or @t149 @t608))))) % 0.82/1.07 (assume @p775 (forall @t159 (=> @t310 (= @t861 @t878)))) % 0.82/1.07 (assume @p776 (forall @t879 (=> @t813 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t846) @t44) (tptp.hAPP @t36 @t709))))) % 0.82/1.07 (assume @p777 (forall @t867 (=> @t813 (= (tptp.c_Polynomial_Osmult @t31 @t30 (tptp.c_Polynomial_OpCons @t31 @t132 @t307)) (tptp.c_Polynomial_OpCons @t31 @t145 @t846))))) % 0.82/1.07 (assume @p778 (forall @t197 (=> @t330 (= (tptp.c_Polynomial_Omonom @t31 @t40 @t29) @t606)))) % 0.82/1.07 (assume @p779 (forall @t190 (=> @t330 (= (= @t860 @t606) @t149)))) % 0.82/1.07 (assume @p780 (forall @t863 (=> @t813 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t873) @t44) (tptp.c_Groups_Oplus__class_Oplus @t31 @t709 @t862))))) % 0.82/1.07 (assume @p781 (forall @t863 (=> @t813 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t842) @t44) (tptp.hAPP (tptp.hAPP @t35 @t709) @t862))))) % 0.82/1.07 (assume @p782 (forall @t865 (=> @t367 (= (tptp.c_Groups_Oplus__class_Oplus @t605 @t811 @t864) (tptp.c_Polynomial_OpCons @t31 @t162 @t873))))) % 0.82/1.07 (assume @p783 (forall @t814 (=> @t813 (=> (= @t812 @t811) @t810)))) % 0.82/1.07 (assume @p784 (forall @t867 (=> @t813 (= (tptp.c_Polynomial_Osmult @t31 @t162 @t307) (tptp.c_Groups_Oplus__class_Oplus @t605 @t846 @t866))))) % 0.82/1.07 (assume @p785 (forall @t195 (=> @t813 (= (tptp.c_Polynomial_Osmult @t31 @t30 @t871) (tptp.c_Polynomial_Omonom @t31 @t145 @t29))))) % 0.82/1.07 (assume @p786 (forall @t649 (=> @t367 (= (tptp.c_Groups_Oplus__class_Oplus @t605 @t872 @t871) (tptp.c_Polynomial_Omonom @t31 @t162 @t29))))) % 0.82/1.07 (assume @p787 (forall @t879 (=> @t813 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t811) @t44) (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 (tptp.hAPP @t67 @t709)))))) % 0.82/1.07 (assume @p788 (forall @t43 (=> @t330 (= (tptp.c_Polynomial_Omonom @t31 @t30 @t626) (tptp.c_Polynomial_OpCons @t31 @t40 @t872))))) % 0.82/1.07 (assume @p789 (forall (@list @t44 @t29 @t30 @t31) (=> @t310 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t872) @t44) (tptp.hAPP @t36 @t292))))) % 0.82/1.07 (assume @p790 (forall @t64 (=> @t330 (= (tptp.c_Polynomial_Omonom @t31 @t30 @t28) @t880)))) % 0.82/1.07 (assume @p791 (forall (@list @t29 @t132 @t98 @t30 @t31) (=> @t813 (= (tptp.hAPP (tptp.hAPP @t710 (tptp.c_Polynomial_Omonom @t31 @t30 @t98)) @t871) (tptp.c_Polynomial_Omonom @t31 @t145 @t277))))) % 0.82/1.07 (assume @p792 (forall (@list @t52 @t44 @t160 @t31) (=> @t80 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t160 @t12) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t72 (tptp.hAPP (tptp.hAPP @t25 @t160) @t70)) (= @t44 @t40)))))) % 0.82/1.07 (assume @p793 (forall (@list @t307 @t160 @t31) (=> @t431 (= (tptp.c_Groups_Oplus__class_Oplus @t605 (tptp.hAPP (tptp.hAPP @t710 (tptp.c_Polynomial_OpCons @t31 (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t160) @t878)) @t882) (tptp.c_Polynomial_OpCons @t31 @t881 @t606)) @t307)))) % 0.82/1.07 (assume @p794 (forall (@list @t160 @t31) (=> @t813 (= (tptp.c_Polynomial_Osynthetic__div @t31 @t606 @t160) @t606)))) % 0.82/1.07 (assume @p795 (forall (@list @t160 @t307 @t30 @t31) (=> @t813 (= (tptp.c_Polynomial_Osynthetic__div @t31 @t811 @t160) @t883)))) % 0.82/1.07 (assume @p796 (forall @t631 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t414 @t630) (exists @t885 (= @t630 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t414 @t884)))))) % 0.82/1.07 (assume @p797 (forall (@list @t160 @t307 @t31) (=> @t813 (= (tptp.c_Groups_Oplus__class_Oplus @t605 @t307 (tptp.c_Polynomial_Osmult @t31 @t160 @t882)) @t883)))) % 0.82/1.07 (assume @p798 (forall (@list @t66 @t306 @t160 @t307 @t31) (=> @t813 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t605 @t307 (tptp.c_Polynomial_Osmult @t31 @t160 @t306)) (tptp.c_Polynomial_OpCons @t31 @t66 @t306)) (and (= @t66 @t881) (= @t306 @t882)))))) % 0.82/1.07 (assume @p799 (forall (@list @t29 @t44) (=> @t886 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 (tptp.hAPP @t569 @t29))))) % 0.82/1.07 (assume @p800 (forall @t280 (=> @t886 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 (tptp.hAPP (tptp.hAPP @t571 @t44) @t52)))))) % 0.82/1.07 (assume @p801 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 @t601)) % 0.82/1.07 (assume @p802 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 @t587)) % 0.82/1.07 (assume @p803 (forall @t280 (=> @t886 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t44 @t52)))))) % 0.82/1.07 (assume @p804 (forall @t845 (=> @t813 (= (tptp.c_Polynomial_Opcompose @t31 @t811 @t306) (tptp.c_Groups_Oplus__class_Oplus @t605 @t880 (tptp.hAPP @t875 @t888)))))) % 0.82/1.07 (assume @p805 (not (forall @t736 (=> @t816 (not @t815))))) % 0.82/1.07 (assume @p806 (forall @t849 (=> @t813 (= (tptp.c_Polynomial_Opcompose @t31 @t606 @t306) @t606)))) % 0.82/1.07 (assume @p807 (forall @t863 (=> @t813 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t888) @t44) (tptp.hAPP @t708 @t862))))) % 0.82/1.07 (assume @p808 (forall (@list @t139 @t607 @t31) (=> @t439 (= (= (tptp.hAPP @t852 @t139) @t40) (or @t608 (not (= (tptp.c_Polynomial_Oorder @t31 @t139 @t607) @t28))))))) % 0.82/1.07 (assume @p809 (exists (@list @t699 @t889) (and (not (= @t889 @t90)) (not (= @t699 @t28)) (exists @t796 (and (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t794 @t699) @t21) @t801) (forall @t530 (= @t800 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t799 (tptp.hAPP (tptp.hAPP @t324 (tptp.hAPP @t529 @t699)) (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t889 @t792)) @t528)))))))))) % 0.82/1.07 (assume @p810 (forall @t152 (=> @t890 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t44 @t44)))) % 0.82/1.07 (assume @p811 (forall @t896 (=> @t439 (=> @t895 (and @t894 @t893))))) % 0.82/1.07 (assume @p812 (forall @t64 (=> @t310 (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t40)))) % 0.82/1.07 (assume @p813 (forall @t847 (=> @t85 (=> @t898 (=> @t62 @t897))))) % 0.82/1.07 (assume @p814 (forall @t900 (=> @t85 (=> @t897 (=> @t62 @t899))))) % 0.82/1.07 (assume @p815 (forall @t903 (=> @t85 (=> @t902 (= (tptp.c_Rings_Odvd__class_Odvd @t605 @t607 (tptp.c_Polynomial_Osmult @t31 @t139 @t850)) @t901))))) % 0.82/1.07 (assume @p816 (forall @t900 (=> @t310 (=> @t897 @t898)))) % 0.82/1.07 (assume @p817 (forall @t845 (=> @t310 (=> @t899 @t897)))) % 0.82/1.07 (assume @p818 (forall @t177 (=> @t310 (=> @t905 @t904)))) % 0.82/1.07 (assume @p819 (forall @t177 (=> @t310 (=> @t905 @t906)))) % 0.82/1.07 (assume @p820 (forall (@list @t402 @t132 @t30 @t31) (=> @t907 (=> (= @t30 (tptp.hAPP @t164 @t402)) (tptp.c_Rings_Odvd__class_Odvd @t31 @t132 @t30))))) % 0.82/1.07 (assume @p821 (forall @t361 (=> @t310 (=> @t908 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t160 @t314) (tptp.c_Rings_Odvd__class_Odvd @t31 @t175 @t727)))))) % 0.82/1.07 (assume @p822 (forall @t382 (=> @t310 (=> @t906 @t909)))) % 0.82/1.07 (assume @p823 (forall @t177 (=> @t310 (=> @t908 @t909)))) % 0.82/1.07 (assume @p824 (forall @t137 (=> @t310 (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t236)))) % 0.82/1.07 (assume @p825 (forall @t137 (=> @t310 (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t145)))) % 0.82/1.07 (assume @p826 (forall @t234 (=> @t439 (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t231 @t230) @t910)))) % 0.82/1.07 (assume @p827 (forall @t244 (=> @t439 (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t243 @t242) @t910)))) % 0.82/1.07 (assume @p828 (forall @t64 (=> @t310 (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t30)))) % 0.82/1.07 (assume @p829 (forall @t177 (=> @t310 (=> @t908 (=> @t904 @t906))))) % 0.82/1.07 (assume @p830 (forall @t64 (=> @t310 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t40 @t30) @t61)))) % 0.82/1.07 (assume @p831 (forall @t177 (=> @t310 (=> @t908 (=> @t906 (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t351)))))) % 0.82/1.07 (assume @p832 (forall @t384 (=> @t431 (=> @t911 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t44 @t128) (tptp.c_Rings_Odvd__class_Odvd @t31 @t44 (tptp.c_Groups_Ominus__class_Ominus @t31 @t52 @t128))))))) % 0.82/1.07 (assume @p833 (forall @t301 (=> @t431 (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t76 @t762) @t912)))) % 0.82/1.07 (assume @p834 (forall @t301 (=> @t431 (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t449 @t263) @t912)))) % 0.82/1.07 (assume @p835 (forall @t64 (=> @t310 (tptp.c_Rings_Odvd__class_Odvd @t31 @t38 @t30)))) % 0.82/1.07 (assume @p836 (forall (@list @t29 @t52 @t44 @t31) (=> @t310 (=> @t911 (tptp.c_Rings_Odvd__class_Odvd @t31 @t292 (tptp.hAPP @t392 @t29)))))) % 0.82/1.07 (assume @p837 (forall (@list @t98 @t132 @t29 @t30 @t31) (=> @t310 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t34 @t132) (=> @t669 (tptp.c_Rings_Odvd__class_Odvd @t31 @t105 @t132)))))) % 0.82/1.07 (assume @p838 (forall (@list @t98 @t29 @t52 @t44 @t31) (=> @t310 (=> @t911 (=> @t644 (tptp.c_Rings_Odvd__class_Odvd @t31 @t292 (tptp.hAPP @t392 @t98))))))) % 0.82/1.07 (assume @p839 (forall (@list @t30 @t29 @t98 @t31) (=> @t310 (=> @t669 (tptp.c_Rings_Odvd__class_Odvd @t31 @t105 @t34))))) % 0.82/1.07 (assume @p840 (forall @t903 (=> @t85 (= (tptp.c_Rings_Odvd__class_Odvd @t605 @t877 @t850) (and (=> @t149 (= @t850 @t606)) (=> @t902 @t901)))))) % 0.82/1.07 (assume @p841 (forall @t121 (=> @t915 (=> (not @t914) @t913)))) % 0.82/1.07 (assume @p842 (forall (@list @t76 @t1 @t2 @t31 @t809) (=> @t918 (=> @t917 (tptp.c_Orderings_Oord__class_Oless__eq @t809 (tptp.hAPP @t2 @t76) (tptp.hAPP @t1 @t76)))))) % 0.82/1.07 (assume @p843 (forall @t921 (=> @t920 (=> @t913 (=> @t919 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t128 @t44)))))) % 0.82/1.07 (assume @p844 (forall @t922 (=> @t920 (=> @t913 (=> @t914 @t117))))) % 0.82/1.07 (assume @p845 (forall @t384 (=> @t890 (=> @t914 (=> @t923 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t44 @t128)))))) % 0.82/1.07 (assume @p846 (forall @t121 (=> @t920 (=> @t914 (=> @t913 @t117))))) % 0.82/1.07 (assume @p847 (forall @t217 (=> @t920 (=> @t726 (=> @t362 @t924))))) % 0.82/1.07 (assume @p848 (forall @t177 (=> @t926 (=> @t645 (=> @t362 @t925))))) % 0.82/1.07 (assume @p849 (forall @t177 (=> @t920 (=> @t133 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t160 @t132) @t924))))) % 0.82/1.07 (assume @p850 (forall @t177 (=> @t926 (=> @t133 (=> @t730 @t925))))) % 0.82/1.07 (assume @p851 (forall @t930 (=> @t920 (=> @t929 @t928)))) % 0.82/1.07 (assume @p852 (forall @t121 (=> @t890 (=> @t117 @t914)))) % 0.82/1.07 (assume @p853 (forall @t301 (=> @t920 (= @t691 (and @t927 @t929))))) % 0.82/1.07 (assume @p854 (forall @t121 (=> @t915 (or @t914 @t913)))) % 0.82/1.07 (assume @p855 (forall @t931 (=> @t918 (= @t917 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t809 @t5 @t4)))))) % 0.82/1.07 (assume @p856 (forall @t152 (=> @t890 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t44 @t44))))) % 0.82/1.07 (assume @p857 (forall @t301 (=> @t915 (= @t692 (or @t933 @t932))))) % 0.82/1.07 (assume @p858 (forall @t301 (=> @t915 (= @t934 (or @t932 @t691))))) % 0.82/1.07 (assume @p859 (forall @t121 (=> @t915 (or @t115 @t117 @t114)))) % 0.82/1.07 (assume @p860 (forall @t930 (=> @t915 (=> (not @t932) @t935)))) % 0.82/1.07 (assume @p861 (forall @t121 (=> @t915 @t119))) % 0.82/1.07 (assume @p862 (forall @t121 (=> @t920 (=> @t115 @t118)))) % 0.82/1.07 (assume @p863 (forall @t121 (=> @t890 (=> @t115 (not @t114))))) % 0.82/1.07 (assume @p864 (forall @t121 (=> @t920 (=> @t115 @t936)))) % 0.82/1.07 (assume @p865 (forall @t137 (=> @t890 (=> @t220 (not @t215))))) % 0.82/1.07 (assume @p866 (forall @t237 (=> @t920 (=> @t215 (not @t220))))) % 0.82/1.07 (assume @p867 (forall @t177 (=> @t926 (=> @t133 (=> @t249 @t937))))) % 0.82/1.07 (assume @p868 (forall @t177 (=> @t920 (=> @t133 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t160 @t132) @t938))))) % 0.82/1.07 (assume @p869 (forall @t177 (=> @t926 (=> @t220 (=> @t362 @t937))))) % 0.82/1.07 (assume @p870 (forall @t217 (=> @t920 (=> @t215 (=> @t362 @t938))))) % 0.82/1.07 (assume @p871 (forall @t384 (=> @t890 (=> @t115 @t940)))) % 0.82/1.07 (assume @p872 (forall @t921 (=> @t920 (=> @t114 @t942)))) % 0.82/1.07 (assume @p873 (forall @t121 (=> @t915 (=> @t116 (=> @t118 @t114))))) % 0.82/1.07 (assume @p874 (forall @t579 (=> @t310 (=> (or @t112 (= @t44 @t38)) (tptp.c_Rings_Odvd__class_Odvd @t31 @t44 @t292))))) % 0.82/1.07 (assume @p875 (forall (@list @t204 @t607 @t31) (=> @t439 (= (= (tptp.hAPP @t852 @t204) @t40) (tptp.c_Rings_Odvd__class_Odvd @t605 (tptp.c_Polynomial_OpCons @t31 @t943 @t878) @t607))))) % 0.82/1.07 (assume @p876 (forall (@list @t607 @t204 @t31) (=> @t439 (= (tptp.c_Rings_Odvd__class_Odvd @t605 (tptp.c_Polynomial_OpCons @t31 @t204 @t878) @t607) (= (tptp.hAPP @t852 @t943) @t40))))) % 0.82/1.07 (assume @p877 (forall @t858 (=> @t439 @t894))) % 0.82/1.07 (assume @p878 (forall @t921 (=> @t920 (=> @t913 @t942)))) % 0.82/1.07 (assume @p879 (forall @t384 (=> @t890 (=> @t914 @t940)))) % 0.82/1.07 (assume @p880 (forall @t921 (=> @t920 (=> @t114 (=> @t919 @t941))))) % 0.82/1.07 (assume @p881 (forall @t384 (=> @t890 (=> @t115 (=> @t923 @t939))))) % 0.82/1.07 (assume @p882 (forall @t237 (=> @t920 (=> @t726 (=> @t944 @t215))))) % 0.82/1.07 (assume @p883 (forall @t137 (=> @t920 (=> @t645 (=> @t944 @t220))))) % 0.82/1.07 (assume @p884 (forall @t121 (=> @t920 (=> @t914 (or @t115 @t117))))) % 0.82/1.07 (assume @p885 (forall @t301 (=> @t915 (=> @t927 @t935)))) % 0.82/1.07 (assume @p886 (forall @t121 (=> @t890 (=> @t115 @t914)))) % 0.82/1.07 (assume @p887 (forall @t922 (=> @t915 (=> @t913 @t116)))) % 0.82/1.07 (assume @p888 (forall @t137 (=> @t920 (=> @t944 (=> @t726 @t215))))) % 0.82/1.07 (assume @p889 (forall @t137 (=> @t920 (=> @t944 (=> @t645 @t220))))) % 0.82/1.07 (assume @p890 (forall @t301 (=> @t915 (=> @t934 @t928)))) % 0.82/1.07 (assume @p891 (forall @t922 (=> @t915 (=> (not @t913) @t115)))) % 0.82/1.07 (assume @p892 (forall @t121 (=> @t915 (=> @t116 @t913)))) % 0.82/1.07 (assume @p893 (forall @t301 (=> @t920 (= @t927 (or @t933 @t691))))) % 0.82/1.07 (assume @p894 (forall @t301 (=> @t890 (= @t933 (and @t927 (not @t929)))))) % 0.82/1.07 (assume @p895 (forall @t301 (=> @t920 (= @t933 (and @t927 @t692))))) % 0.82/1.07 (assume @p896 (forall @t121 (=> @t915 (or @t914 @t114)))) % 0.82/1.07 (assume @p897 (forall @t301 (=> @t915 (= (not @t927) @t932)))) % 0.82/1.07 (assume @p898 (forall @t301 (=> @t915 (= @t934 @t929)))) % 0.82/1.07 (assume @p899 (forall @t896 (=> @t439 (=> @t895 @t893)))) % 0.82/1.07 (assume @p900 (forall (@list @t945 @t946 @t385 @t31) (=> (and @t857 @t907) (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t385 @t946) (forall (@list @t3 @t699) (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t385 (tptp.c_Groups_Oplus__class_Oplus @t31 @t3 @t945)) (tptp.c_Rings_Odvd__class_Odvd @t31 @t385 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Ominus__class_Ominus @t31 @t3 (tptp.hAPP (tptp.hAPP @t35 @t699) @t946)) @t945)))))))) % 0.82/1.07 (assume @p901 (forall (@list @t402) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t617 @t402))) % 0.82/1.07 (assume @p902 (forall @t931 (=> @t918 (= (tptp.c_Orderings_Oord__class_Oless @t916 @t2 @t1) (and @t917 (not (tptp.c_Orderings_Oord__class_Oless__eq @t916 @t1 @t2))))))) % 0.82/1.07 (assume @p903 (forall @t400 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 @t98) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 @t29) (=> @t948 (=> @t947 @t473)))))) % 0.82/1.07 (assume @p904 (forall (@list @t945 @t269 @t414) (=> (not (= @t414 @t601)) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t269 @t945) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t950 (tptp.hAPP @t949 @t945)))))) % 0.82/1.07 (assume @p905 (forall @t400 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t601 @t98) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t98 @t29) (not @t947))))) % 0.82/1.07 (assume @p906 (forall @t522 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP @t602 @t98) (tptp.hAPP @t602 @t29)) (=> (not (= @t402 @t601)) @t948)))) % 0.82/1.07 (assume @p907 (forall @t951 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t269 @t617) @t738))) % 0.82/1.07 (assume @p908 (forall @t400 (=> @t545 (=> @t99 (not @t952))))) % 0.82/1.07 (assume @p909 (forall @t420 (= @t954 (or @t499 @t953)))) % 0.82/1.07 (assume @p910 (forall (@list @t91 @t414) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t414 @t480) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t414 @t91)))) % 0.82/1.07 (assume @p911 (forall (@list @t269 @t91 @t414) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t414 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t91 @t950)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t414 @t91)))) % 0.82/1.07 (assume @p912 (forall (@list @t204 @t945 @t76 @t385 @t139) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t139 @t385) (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t139 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t76 @t945)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t139 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t76 (tptp.hAPP (tptp.hAPP @t571 @t204) @t385)) @t945)))))) % 0.82/1.07 (assume @p913 (forall @t522 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t402 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t98 @t29)) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t402 @t29) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t402 @t98))))) % 0.82/1.07 (assume @p914 (forall @t956 (= @t955 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t385 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t945))))) % 0.82/1.07 (assume @p915 (forall @t956 (= @t955 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t385) @t945)))) % 0.82/1.07 (assume @p916 (forall @t522 (=> @t959 (=> @t958 @t957)))) % 0.82/1.07 (assume @p917 (forall @t951 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t269 @t21) @t524))) % 0.82/1.07 (assume @p918 (forall @t522 (=> @t957 (=> @t958 (=> @t644 @t959))))) % 0.82/1.07 (assume @p919 (forall @t522 (=> @t957 (=> @t959 (=> @t644 @t958))))) % 0.82/1.07 (assume @p920 (forall (@list @t29 @t128) (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t128 @t29) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t601 @t29) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t128 @t29))))) % 0.82/1.07 (assume @p921 (forall (@list @t29 @t402) (=> @t958 (=> @t112 @t695)))) % 0.82/1.07 (assume @p922 (forall @t420 (=> @t419 (= @t954 @t953)))) % 0.82/1.07 (assume @p923 (forall @t522 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t521 @t520) (=> @t406 @t960)))) % 0.82/1.07 (assume @p924 (forall @t479 (=> @t526 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t498 @t269) @t523)))) % 0.82/1.07 (assume @p925 (forall @t479 (=> @t526 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP @t502 @t269) @t269) @t523)))) % 0.82/1.07 (assume @p926 (forall @t104 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t103 @t102) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t21 @t100) @t669)))) % 0.82/1.07 (assume @p927 (forall (@list @t630 @t469 @t31) (=> (and @t907 @t257) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t469 (tptp.hAPP (tptp.hAPP @t35 @t630) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t31 @t630 (tptp.c_Groups_Oplus__class_Oplus @t31 @t3 @t40)) (tptp.hBOOL (tptp.hAPP @t469 @t3)))))))) % 0.82/1.07 (assume @p928 (forall @t962 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t94 @t30) @t29) (tptp.hAPP (tptp.hAPP @t94 @t132) @t29)) (=> @t256 @t961)))) % 0.82/1.07 (assume @p929 (forall @t963 (=> @t187 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t94 @t139) @t91) (tptp.hAPP (tptp.hAPP @t94 @t138) @t91)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t139 @t138))))) % 0.82/1.07 (assume @p930 (forall @t47 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t44 @t44))) % 0.82/1.07 (assume @p931 (forall @t329 (= @t691 (and @t965 @t964)))) % 0.82/1.07 (assume @p932 (forall @t329 (= @t965 (or @t966 @t691)))) % 0.82/1.07 (assume @p933 (forall @t329 (= @t966 (and @t965 @t692)))) % 0.82/1.07 (assume @p934 (forall @t586 (=> @t944 (=> @t961 @t968)))) % 0.82/1.07 (assume @p935 (forall @t280 (=> @t117 @t969))) % 0.82/1.07 (assume @p936 (forall (@list @t76 @t263) (=> @t964 (= @t965 @t691)))) % 0.82/1.07 (assume @p937 (forall @t280 (=> @t969 (or @t971 @t117)))) % 0.82/1.07 (assume @p938 (forall @t586 (=> @t961 (=> @t944 @t968)))) % 0.82/1.07 (assume @p939 (forall @t741 (=> @t133 (=> @t973 @t972)))) % 0.82/1.07 (assume @p940 (forall @t741 (=> @t961 (=> @t362 @t972)))) % 0.82/1.07 (assume @p941 (forall @t400 (=> @t960 (=> @t952 @t473)))) % 0.82/1.07 (assume @p942 (forall @t280 (=> @t969 (=> @t970 @t117)))) % 0.82/1.07 (assume @p943 (forall @t487 (=> @t969 (=> @t975 @t974)))) % 0.82/1.07 (assume @p944 (forall @t741 (=> @t133 (=> (and @t973 (not (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t160 @t132))) @t976)))) % 0.82/1.07 (assume @p945 (forall @t487 (=> @t969 @t978))) % 0.82/1.07 (assume @p946 (forall @t280 (=> @t971 @t118))) % 0.82/1.07 (assume @p947 (forall @t280 (=> @t971 (not (and @t970 (not @t969)))))) % 0.82/1.07 (assume @p948 (forall @t280 (=> @t971 @t969))) % 0.82/1.07 (assume @p949 (forall @t280 (=> @t971 @t936))) % 0.82/1.07 (assume @p950 (forall @t741 (=> @t968 (=> @t362 @t976)))) % 0.82/1.07 (assume @p951 (forall @t487 (=> @t971 (=> @t975 @t977)))) % 0.82/1.07 (assume @p952 (forall @t586 (=> @t968 (not (and @t967 (not @t961)))))) % 0.82/1.07 (assume @p953 (forall @t487 (=> @t971 @t978))) % 0.82/1.07 (assume @p954 (forall @t47 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t44 @t28))) % 0.82/1.07 (assume @p955 (forall @t47 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Nat_Onat @t21 @t44))) % 0.82/1.07 (assume @p956 (forall @t476 (=> @t112 (=> @t960 @t545)))) % 0.82/1.07 (assume @p957 (forall @t963 (=> @t187 (= (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t568 @t139) @t91) (tptp.hAPP (tptp.hAPP @t568 @t138) @t91)) (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t139 @t138))))) % 0.82/1.07 (assume @p958 (forall @t962 (=> (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t568 @t30) @t29) (tptp.hAPP (tptp.hAPP @t568 @t132) @t29)) (=> @t256 (tptp.c_Rings_Odvd__class_Odvd tptp.tc_Int_Oint @t30 @t132))))) % 0.82/1.07 (assume @p959 (forall (@list @t980 @t979 @t31 @t809) (=> (and (tptp.class_RealVector_Oreal__normed__vector @t809) @t926) (=> (forall @t885 (=> @t983 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t809 (tptp.c_Groups_Ominus__class_Ominus @t809 @t981 @t982)) @t10))) (forall @t885 (=> @t983 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t809 @t982) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t10 (tptp.c_RealVector_Onorm__class_Onorm @t809 @t981))))))))) % 0.82/1.07 (assume @p960 (not (forall @t796 (=> @t795 (not @t793))))) % 0.82/1.07 (assume @p961 (forall @t156 (=> @t74 (exists @t987 (and @t986 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 (tptp.hAPP (tptp.hAPP @t35 @t3) @t52)) @t985))))))) % 0.82/1.07 (assume @p962 (forall @t152 (=> @t74 (exists @t987 (and @t986 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 (tptp.hAPP @t67 @t3)) @t985))))))) % 0.82/1.07 (assume @p963 (forall @t159 (=> @t74 (exists @t987 (and @t986 (forall (@list @t889 @t988) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 (tptp.hAPP (tptp.hAPP @t35 @t889) @t988)) (tptp.hAPP (tptp.hAPP @t25 (tptp.hAPP (tptp.hAPP @t25 (tptp.c_RealVector_Onorm__class_Onorm @t31 @t889)) (tptp.c_RealVector_Onorm__class_Onorm @t31 @t988))) @t984)))))))) % 0.82/1.07 (assume @p964 (forall @t992 (and @t991 (=> (not @t990) (= @t989 @t601))))) % 0.82/1.07 (assume @p965 (forall @t280 (=> @t886 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 @t989))))) % 0.82/1.07 (assume @p966 (forall @t992 @t991)) % 0.82/1.07 (assume @p967 (forall @t876 (=> @t120 (= (tptp.c_Polynomial_Opos__poly @t31 @t854) (or (tptp.c_Polynomial_Opos__poly @t31 @t607) (and @t608 @t276)))))) % 0.82/1.07 (assume @p968 (forall (@list @t402 @t98) (=> @t545 (=> @t603 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t993 @t98) @t402) (tptp.hAPP @t993 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t617))))))) % 0.82/1.07 (assume @p969 (forall @t301 (=> @t120 (= (tptp.c_Orderings_Oord__class_Oless__eq @t605 @t76 @t263) (or @t691 (tptp.c_Polynomial_Opos__poly @t31 (tptp.c_Groups_Ominus__class_Ominus @t605 @t263 @t76))))))) % 0.82/1.07 (assume @p970 (forall @t280 (=> @t886 (=> @t887 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t601 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t44 @t52)))))) % 0.82/1.07 (assume @p971 (forall @t996 (=> @t120 (=> @t995 (=> @t994 (tptp.c_Polynomial_Opos__poly @t31 @t873)))))) % 0.82/1.07 (assume @p972 (forall @t159 (=> @t120 (not (tptp.c_Polynomial_Opos__poly @t31 @t606))))) % 0.82/1.07 (assume @p973 (forall @t996 (=> @t120 (=> @t995 (=> @t994 (tptp.c_Polynomial_Opos__poly @t31 @t842)))))) % 0.82/1.07 (assume @p974 (forall @t64 (=> @t997 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t30 @t40) @t40)))) % 0.82/1.07 (assume @p975 (forall @t64 (=> @t997 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t40 @t30) @t40)))) % 0.82/1.07 (assume @p976 (forall (@list @t132) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t601 @t132) @t601))) % 0.82/1.07 (assume @p977 (forall @t383 (=> @t997 (and (=> @t1000 (= @t999 @t40)) (=> @t1001 (= @t999 @t998)))))) % 0.82/1.07 (assume @p978 (forall @t237 (=> @t997 (=> @t148 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t145 @t132) @t30))))) % 0.82/1.07 (assume @p979 (forall @t237 (=> @t997 (=> @t148 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t236 @t132) @t30))))) % 0.82/1.07 (assume @p980 (forall @t383 (=> @t997 (=> @t1001 (= (tptp.c_Divides_Odiv__class_Odiv @t31 @t175 @t174) @t998))))) % 0.82/1.07 (assume @p981 (forall @t1005 (=> @t1004 (tptp.class_Groups_Ocancel__comm__monoid__add @t1003)))) % 0.82/1.07 (assume @p982 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p983 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p984 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p985 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p986 (forall @t1008 (=> (tptp.class_Orderings_Opreorder @t1002) (tptp.class_Orderings_Opreorder @t1007)))) % 0.82/1.07 (assume @p987 (forall @t1008 (=> (tptp.class_Orderings_Oorder @t1002) (tptp.class_Orderings_Oorder @t1007)))) % 0.82/1.07 (assume @p988 (forall @t1008 (=> (tptp.class_Orderings_Oord @t1002) (tptp.class_Orderings_Oord @t1007)))) % 0.82/1.07 (assume @p989 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p990 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p991 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p992 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p993 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p994 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p995 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p996 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p997 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p998 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p999 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1000 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1001 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1002 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1003 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1004 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1005 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1006 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1007 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1008 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1009 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1010 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1011 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1012 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1013 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1014 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1015 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1016 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1017 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1018 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1019 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1020 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1021 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1022 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1023 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1024 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1025 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1026 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1027 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1028 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1029 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1030 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1031 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1032 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1033 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1034 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1035 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1036 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1037 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1038 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1039 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1040 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1041 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1042 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1043 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 0.82/1.07 (assume @p1044 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1045 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1046 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1047 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1048 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1049 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1050 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1051 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1052 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1053 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1054 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1055 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1056 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1057 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1058 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1059 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1060 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1061 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1062 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1063 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1064 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1065 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1066 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1067 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1068 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1069 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1070 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1071 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1072 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1073 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1074 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1075 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1076 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1077 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1078 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1079 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1080 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 0.82/1.07 (assume @p1081 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.82/1.07 (assume @p1082 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.82/1.07 (assume @p1083 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.82/1.07 (assume @p1084 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1085 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1086 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1087 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1088 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1089 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1090 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1091 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1092 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1093 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1094 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1095 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1096 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1097 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1098 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1099 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1100 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1101 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1102 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1103 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1104 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1105 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1106 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1107 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1108 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1109 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1110 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1111 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1112 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1113 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1114 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1115 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1116 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1117 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1118 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1119 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1120 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1121 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1122 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1123 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1124 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1125 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1126 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1127 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1128 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1129 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1130 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1131 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1132 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1133 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1134 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1135 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1136 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1137 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1138 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1139 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1140 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1141 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1142 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1143 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1144 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1145 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1146 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1147 (tptp.class_Rings_Odvd tptp.tc_RealDef_Oreal)) % 0.82/1.07 (assume @p1148 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1149 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1150 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1151 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1152 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1153 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1154 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1155 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1156 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1157 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1158 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1159 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1160 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1161 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1162 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1163 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1164 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1165 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1166 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1167 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1168 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1169 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1170 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1171 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1172 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1173 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1174 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1175 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1176 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1177 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1178 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1179 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1180 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1181 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1182 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1183 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1184 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1185 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1186 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 0.82/1.07 (assume @p1187 (forall @t1005 (=> @t1009 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1003)))) % 0.82/1.07 (assume @p1188 (forall @t1005 (=> @t1010 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1003)))) % 0.82/1.07 (assume @p1189 (forall @t1005 (=> @t1010 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1003)))) % 0.82/1.07 (assume @p1190 (forall @t1005 (=> @t1010 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1003)))) % 0.82/1.07 (assume @p1191 (forall @t1005 (=> @t1010 (tptp.class_Rings_Olinordered__semiring__1__strict @t1003)))) % 0.82/1.07 (assume @p1192 (forall @t1005 (=> @t1010 (tptp.class_Rings_Olinordered__semiring__strict @t1003)))) % 0.82/1.07 (assume @p1193 (forall @t1005 (=> @t1010 (tptp.class_Groups_Oordered__ab__semigroup__add @t1003)))) % 0.82/1.07 (assume @p1194 (forall @t1005 (=> @t1010 (tptp.class_Groups_Oordered__comm__monoid__add @t1003)))) % 0.82/1.07 (assume @p1195 (forall @t1005 (=> @t1010 (tptp.class_Groups_Olinordered__ab__group__add @t1003)))) % 0.82/1.07 (assume @p1196 (forall @t1005 (=> @t1004 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1003)))) % 0.82/1.07 (assume @p1197 (forall @t1005 (=> @t1009 (tptp.class_Rings_Oring__1__no__zero__divisors @t1003)))) % 0.82/1.07 (assume @p1198 (forall @t1005 (=> @t1010 (tptp.class_Rings_Oordered__cancel__semiring @t1003)))) % 0.82/1.07 (assume @p1199 (forall @t1005 (=> @t1010 (tptp.class_Rings_Olinordered__ring__strict @t1003)))) % 0.82/1.07 (assume @p1200 (forall @t1005 (=> @t1009 (tptp.class_Rings_Oring__no__zero__divisors @t1003)))) % 0.82/1.07 (assume @p1201 (forall @t1005 (=> @t1010 (tptp.class_Rings_Oordered__comm__semiring @t1003)))) % 0.82/1.07 (assume @p1202 (forall @t1005 (=> @t1010 (tptp.class_Rings_Olinordered__semiring__1 @t1003)))) % 0.82/1.07 (assume @p1203 (forall @t1005 (=> @t1010 (tptp.class_Groups_Oordered__ab__group__add @t1003)))) % 0.82/1.07 (assume @p1204 (forall @t1005 (=> @t1004 (tptp.class_Groups_Ocancel__semigroup__add @t1003)))) % 0.82/1.07 (assume @p1205 (forall @t1005 (=> @t1010 (tptp.class_Rings_Olinordered__semiring @t1003)))) % 0.82/1.07 (assume @p1206 (forall @t1005 (=> @t1010 (tptp.class_Rings_Olinordered__semidom @t1003)))) % 0.82/1.07 (assume @p1207 (forall @t1005 (=> @t1011 (tptp.class_Groups_Oab__semigroup__mult @t1003)))) % 0.82/1.07 (assume @p1208 (forall @t1005 (=> @t1012 (tptp.class_Groups_Ocomm__monoid__mult @t1003)))) % 0.82/1.07 (assume @p1209 (forall @t1005 (=> @t1013 (tptp.class_Groups_Oab__semigroup__add @t1003)))) % 0.82/1.07 (assume @p1210 (forall @t1005 (=> @t1010 (tptp.class_Rings_Oordered__semiring @t1003)))) % 0.82/1.07 (assume @p1211 (forall @t1005 (=> @t1009 (tptp.class_Rings_Ono__zero__divisors @t1003)))) % 0.82/1.07 (assume @p1212 (forall @t1005 (=> @t1013 (tptp.class_Groups_Ocomm__monoid__add @t1003)))) % 0.82/1.07 (assume @p1213 (forall @t1005 (=> @t1010 (tptp.class_Rings_Olinordered__ring @t1003)))) % 0.82/1.07 (assume @p1214 (forall @t1005 (=> @t1010 (tptp.class_Rings_Olinordered__idom @t1003)))) % 0.82/1.07 (assume @p1215 (forall @t1005 (=> @t1012 (tptp.class_Rings_Ocomm__semiring__1 @t1003)))) % 0.82/1.07 (assume @p1216 (forall @t1005 (=> @t1011 (tptp.class_Rings_Ocomm__semiring__0 @t1003)))) % 0.82/1.07 (assume @p1217 (forall @t1005 (=> (tptp.class_Fields_Ofield @t1002) (tptp.class_Divides_Osemiring__div @t1003)))) % 0.82/1.07 (assume @p1218 (forall @t1005 (=> @t1011 (tptp.class_Rings_Ocomm__semiring @t1003)))) % 0.82/1.07 (assume @p1219 (forall @t1005 (=> @t1014 (tptp.class_Groups_Oab__group__add @t1003)))) % 0.82/1.07 (assume @p1220 (forall @t1005 (=> @t1012 (tptp.class_Rings_Ozero__neq__one @t1003)))) % 0.82/1.07 (assume @p1221 (forall @t1005 (=> @t1010 (tptp.class_Rings_Oordered__ring @t1003)))) % 0.82/1.07 (assume @p1222 (forall @t1005 (=> @t1010 (tptp.class_Orderings_Opreorder @t1003)))) % 0.82/1.07 (assume @p1223 (forall @t1005 (=> @t1010 (tptp.class_Orderings_Olinorder @t1003)))) % 0.82/1.07 (assume @p1224 (forall @t1005 (=> @t1012 (tptp.class_Groups_Omonoid__mult @t1003)))) % 0.82/1.07 (assume @p1225 (forall @t1005 (=> @t1015 (tptp.class_Rings_Ocomm__ring__1 @t1003)))) % 0.82/1.07 (assume @p1226 (forall @t1005 (=> @t1013 (tptp.class_Groups_Omonoid__add @t1003)))) % 0.82/1.07 (assume @p1227 (forall @t1005 (=> @t1011 (tptp.class_Rings_Osemiring__0 @t1003)))) % 0.82/1.07 (assume @p1228 (forall @t1005 (=> @t1014 (tptp.class_Groups_Ogroup__add @t1003)))) % 0.82/1.07 (assume @p1229 (forall @t1005 (=> @t1011 (tptp.class_Rings_Omult__zero @t1003)))) % 0.82/1.07 (assume @p1230 (forall @t1005 (=> @t1016 (tptp.class_Rings_Ocomm__ring @t1003)))) % 0.82/1.07 (assume @p1231 (forall @t1005 (=> @t1010 (tptp.class_Orderings_Oorder @t1003)))) % 0.82/1.07 (assume @p1232 (forall @t1005 (=> @t1010 (tptp.class_Int_Oring__char__0 @t1003)))) % 0.82/1.07 (assume @p1233 (forall @t1005 (=> @t1011 (tptp.class_Rings_Osemiring @t1003)))) % 0.82/1.07 (assume @p1234 (forall @t1005 (=> @t1010 (tptp.class_Orderings_Oord @t1003)))) % 0.82/1.07 (assume @p1235 (forall @t1005 (=> @t1015 (tptp.class_Rings_Oring__1 @t1003)))) % 0.82/1.07 (assume @p1236 (forall @t1005 (=> @t1012 (tptp.class_Power_Opower @t1003)))) % 0.82/1.07 (assume @p1237 (forall @t1005 (=> (tptp.class_Groups_Ozero @t1002) (tptp.class_Groups_Ozero @t1003)))) % 0.82/1.07 (assume @p1238 (forall @t1005 (=> @t1016 (tptp.class_Rings_Oring @t1003)))) % 0.82/1.07 (assume @p1239 (forall @t1005 (=> @t1009 (tptp.class_Rings_Oidom @t1003)))) % 0.82/1.07 (assume @p1240 (forall @t1005 (=> @t1012 (tptp.class_Groups_Oone @t1003)))) % 0.82/1.07 (assume @p1241 (forall @t1005 (=> @t1012 (tptp.class_Rings_Odvd @t1003)))) % 0.82/1.07 (assume @p1242 @t1024) % 0.82/1.07 (assume @p1243 (not tptp.v_thesis____)) % 0.82/1.07 (assume @p1244 true) % 0.82/1.07 (step @p1245 :rule quant-miniscope-or :args ((= (forall @t1023 @t1030) (or tptp.v_thesis____ @t1029)))) % 0.82/1.07 (step @p1246 :rule aci_norm :args ((= @t1031 @t1030))) % 0.82/1.07 (step @p1247 :rule cong :premises (@p1246) :args ((forall @t1023 @t1031))) % 0.82/1.07 (step @p1248 :rule trans :premises (@p1247 @p1245)) % 0.82/1.07 (step @p1249 :rule aci_norm :args ((= (or @t1027 @t1032) @t1031))) % 0.82/1.07 (step @p1250 :rule aci_norm :args ((= (or @t1026 (or @t1025 tptp.v_thesis____)) @t1032))) % 0.82/1.07 (step @p1251 :rule bool-impl-elim :args (@t1018 tptp.v_thesis____)) % 0.82/1.07 (step @p1252 :rule refl :args (@t1026)) % 0.82/1.07 (step @p1253 :rule nary_cong :premises (@p1252 @p1251) :args ((or @t1026 @t1019))) % 0.82/1.07 (step @p1254 :rule trans :premises (@p1253 @p1250)) % 0.82/1.08 (step @p1255 :rule bool-impl-elim :args (@t1020 @t1019)) % 0.82/1.08 (step @p1256 :rule trans :premises (@p1255 @p1254)) % 0.82/1.08 (step @p1257 :rule refl :args (@t1027)) % 0.82/1.08 (step @p1258 :rule nary_cong :premises (@p1257 @p1256) :args ((or @t1027 @t1021))) % 0.82/1.08 (step @p1259 :rule trans :premises (@p1258 @p1249)) % 0.82/1.08 (step @p1260 :rule bool-impl-elim :args (@t1022 @t1021)) % 0.82/1.08 (step @p1261 :rule trans :premises (@p1260 @p1259)) % 0.82/1.08 (step @p1262 :rule cong :premises (@p1261) :args (@t1024)) % 0.82/1.08 (step @p1263 :rule trans :premises (@p1262 @p1248)) % 0.82/1.08 (step @p1264 :rule eq_resolve :premises (@p1242 @p1263)) % 0.82/1.08 (step @p1265 :rule chain_m_resolution :premises (@p1264 @p1243) :args (@t1029 (@list true) (@list tptp.v_thesis____))) % 0.82/1.08 (step @p1266 :rule alpha_equiv :args (@t1029 (@list @t1017) (@list @t8))) % 0.82/1.08 (step @p1267 :rule equiv_elim1 :premises (@p1266)) % 0.82/1.08 (step @p1268 :rule chain_m_resolution :premises (@p1267 @p1265) :args (@t1035 (@list false) (@list @t1029))) % 0.82/1.08 (step @p1269 :rule bool-impl-elim :args (@t17 @t1038)) % 0.82/1.08 (step @p1270 :rule cong :premises (@p1269) :args ((forall @t19 (=> @t17 @t1038)))) % 0.82/1.08 (step @p1271 :rule aci_norm :args ((= (or @t1034 (or @t1033 @t1036)) @t1037))) % 0.82/1.08 (step @p1272 :rule bool-and-de-morgan :args (@t11 @t9 true)) % 0.82/1.08 (step @p1273 :rule refl :args (@t1034)) % 0.82/1.08 (step @p1274 :rule nary_cong :premises (@p1273 @p1272) :args ((or @t1034 (not (and @t11 @t9))))) % 0.82/1.08 (step @p1275 :rule bool-and-de-morgan :args (@t13 @t11 (and @t9))) % 0.82/1.08 (step @p1276 :rule trans :premises (@p1275 @p1274)) % 0.82/1.08 (step @p1277 :rule trans :premises (@p1276 @p1271)) % 0.82/1.08 (step @p1278 :rule cong :premises (@p1277) :args (@t1039)) % 0.82/1.08 (step @p1279 :rule cong :premises (@p1278) :args (@t1040)) % 0.82/1.08 (step @p1280 :rule exists-elim :args ((= @t16 @t1040))) % 0.82/1.08 (step @p1281 :rule trans :premises (@p1280 @p1279)) % 0.82/1.08 (step @p1282 :rule refl :args (@t17)) % 0.82/1.08 (step @p1283 :rule cong :premises (@p1282 @p1281) :args (@t18)) % 0.82/1.08 (step @p1284 :rule cong :premises (@p1283) :args (@t20)) % 0.82/1.08 (step @p1285 :rule trans :premises (@p1284 @p1270)) % 0.82/1.08 (step @p1286 :rule eq_resolve :premises (@p2 @p1285)) % 0.82/1.08 (step @p1287 :rule instantiate :premises (@p1286) :args ((@list @t26))) % 0.82/1.08 (step @p1288 :rule cnf_or_pos :args (@t1043)) % 0.82/1.08 (step @p1289 :rule reordering :premises (@p1288) :args ((or @t1042 @t1041 (not @t1043)))) % 0.82/1.08 (step @p1290 false :rule chain_m_resolution :premises (@p1289 @p1287 @p1268 @p4) :args (false (@list false false false) (@list @t1043 @t1035 @t27))) % 0.82/1.08 ) % 0.82/1.08 % SZS output end Proof % 0.82/1.08 % cvc5 exiting %------------------------------------------------------------------------------