%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW264+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n010.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 09:04:37 AM UTC 2026 % Result : Theorem 44.44s 44.65s % Output : Proof 44.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW264+1 : TPTP v9.2.1. Released v5.2.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n010.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 21:42:25 EDT 2026 % 0.16/0.34 % CPUTime : % 0.45/0.75 %----Proving TF0_NAR, FOF, or CNF % 44.44/44.65 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 44.44/44.65 --- Run --no-e-matching --full-saturate-quant at 6... % 44.44/44.65 --- Run --no-e-matching --enum-inst-sum --full-saturate-quant at 6... % 44.44/44.65 --- Run --finite-model-find --uf-ss=no-minimal at 6... % 44.44/44.65 --- Run --multi-trigger-when-single --full-saturate-quant at 30... % 44.44/44.65 % SZS status Theorem % 44.44/44.65 % SZS output start Proof % 44.44/44.65 ( % 44.44/44.65 (declare-sort $$unsorted 0) % 44.44/44.65 (declare-const tptp.tc_HOL_Obool $$unsorted) % 44.44/44.65 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.c_Complex_Oii $$unsorted) % 44.44/44.65 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.v_q____ $$unsorted) % 44.44/44.65 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.tc_Nat_Onat $$unsorted) % 44.44/44.65 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.v_k____ $$unsorted) % 44.44/44.65 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 44.44/44.65 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_RealVector_Oreal__div__algebra (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 44.44/44.65 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.v_s____ $$unsorted) % 44.44/44.65 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.v_w____ $$unsorted) % 44.44/44.65 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_RealVector_Oreal__algebra__1 (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.v_t____ $$unsorted) % 44.44/44.65 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.v_a____ $$unsorted) % 44.44/44.65 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.v_pa____ $$unsorted) % 44.44/44.65 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.tc_Int_Oint $$unsorted) % 44.44/44.65 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.v_m____ $$unsorted) % 44.44/44.65 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.c_RealVector_Oof__real (-> $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.v_p $$unsorted) % 44.44/44.65 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.v_c____ $$unsorted) % 44.44/44.65 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 44.44/44.65 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 44.44/44.65 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 44.44/44.65 (define @t1 () (@var "V_g_2" $$unsorted)) % 44.44/44.65 (define @t2 () (@var "V_f_2" $$unsorted)) % 44.44/44.65 (define @t3 () (@var "B_x" $$unsorted)) % 44.44/44.65 (define @t4 () (tptp.hAPP @t1 @t3)) % 44.44/44.65 (define @t5 () (tptp.hAPP @t2 @t3)) % 44.44/44.65 (define @t6 () (@list @t3)) % 44.44/44.65 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 44.44/44.65 (define @t8 () (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex tptp.v_t____)) % 44.44/44.65 (define @t9 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 44.44/44.65 (define @t10 () (tptp.hAPP (tptp.hAPP @t9 @t8) tptp.v_w____)) % 44.44/44.65 (define @t11 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_s____)) % 44.44/44.65 (define @t12 () (tptp.hAPP @t11 @t10)) % 44.44/44.65 (define @t13 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t12)) % 44.44/44.65 (define @t14 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t13 tptp.v_m____)) % 44.44/44.65 (define @t15 () (@var "B_z" $$unsorted)) % 44.44/44.65 (define @t16 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t11 @t15))) % 44.44/44.65 (define @t17 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_w____)) % 44.44/44.65 (define @t18 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t15) @t17)) % 44.44/44.65 (define @t19 () (@list @t15)) % 44.44/44.65 (define @t20 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 44.44/44.65 (define @t21 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 44.44/44.65 (define @t22 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat tptp.v_k____ @t21)) % 44.44/44.65 (define @t23 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 44.44/44.65 (define @t24 () (tptp.hAPP (tptp.hAPP @t23 @t17) @t22)) % 44.44/44.65 (define @t25 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 44.44/44.65 (define @t26 () (tptp.hAPP @t25 @t24)) % 44.44/44.65 (define @t27 () (tptp.hAPP @t26 @t13)) % 44.44/44.65 (define @t28 () (tptp.hAPP @t25 tptp.v_t____)) % 44.44/44.65 (define @t29 () (tptp.hAPP @t28 @t27)) % 44.44/44.65 (define @t30 () (tptp.hAPP (tptp.hAPP @t23 tptp.v_t____) tptp.v_k____)) % 44.44/44.65 (define @t31 () (tptp.hAPP @t25 @t30)) % 44.44/44.65 (define @t32 () (tptp.hAPP @t31 @t29)) % 44.44/44.65 (define @t33 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 44.44/44.65 (define @t34 () (tptp.hAPP @t9 (tptp.hAPP (tptp.hAPP @t33 @t10) tptp.v_k____))) % 44.44/44.65 (define @t35 () (tptp.hAPP (tptp.hAPP @t9 (tptp.hAPP @t34 @t10)) @t12)) % 44.44/44.65 (define @t36 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t35)) % 44.44/44.65 (define @t37 () (@var "V_n" $$unsorted)) % 44.44/44.65 (define @t38 () (@var "V_x" $$unsorted)) % 44.44/44.65 (define @t39 () (tptp.hAPP (tptp.hAPP @t23 @t38) @t37)) % 44.44/44.65 (define @t40 () (@list @t37 @t38)) % 44.44/44.65 (define @t41 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 44.44/44.65 (define @t42 () (tptp.hAPP @t25 @t41)) % 44.44/44.65 (define @t43 () (@var "T_a" $$unsorted)) % 44.44/44.65 (define @t44 () (tptp.c_RealVector_Onorm__class_Onorm @t43 @t38)) % 44.44/44.65 (define @t45 () (tptp.hAPP (tptp.hAPP @t23 @t44) @t37)) % 44.44/44.65 (define @t46 () (tptp.c_Power_Opower__class_Opower @t43)) % 44.44/44.65 (define @t47 () (tptp.hAPP @t46 @t38)) % 44.44/44.65 (define @t48 () (tptp.hAPP @t47 @t37)) % 44.44/44.65 (define @t49 () (tptp.c_RealVector_Onorm__class_Onorm @t43 @t48)) % 44.44/44.65 (define @t50 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t43)) % 44.44/44.65 (define @t51 () (@list @t37 @t38 @t43)) % 44.44/44.65 (define @t52 () (tptp.hAPP @t26 tptp.v_m____)) % 44.44/44.65 (define @t53 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t52)) % 44.44/44.65 (define @t54 () (@var "V_y" $$unsorted)) % 44.44/44.65 (define @t55 () (tptp.c_RealVector_Onorm__class_Onorm @t43 @t54)) % 44.44/44.65 (define @t56 () (tptp.hAPP (tptp.hAPP @t25 @t44) @t55)) % 44.44/44.65 (define @t57 () (tptp.c_Groups_Otimes__class_Otimes @t43)) % 44.44/44.65 (define @t58 () (tptp.hAPP @t57 @t38)) % 44.44/44.65 (define @t59 () (tptp.hAPP @t58 @t54)) % 44.44/44.65 (define @t60 () (tptp.c_RealVector_Onorm__class_Onorm @t43 @t59)) % 44.44/44.65 (define @t61 () (tptp.class_RealVector_Oreal__normed__algebra @t43)) % 44.44/44.65 (define @t62 () (@list @t54 @t38 @t43)) % 44.44/44.65 (define @t63 () (tptp.c_RealVector_Oof__real @t43 @t38)) % 44.44/44.65 (define @t64 () (tptp.class_RealVector_Oreal__algebra__1 @t43)) % 44.44/44.65 (define @t65 () (tptp.class_RealVector_Oreal__normed__div__algebra @t43)) % 44.44/44.65 (define @t66 () (tptp.c_RealVector_Oof__real @t43 @t54)) % 44.44/44.65 (define @t67 () (tptp.hAPP @t25 @t38)) % 44.44/44.65 (define @t68 () (tptp.hAPP @t67 @t54)) % 44.44/44.65 (define @t69 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t38 @t54)) % 44.44/44.65 (define @t70 () (tptp.c_RealVector_Onorm__class_Onorm @t43 @t69)) % 44.44/44.65 (define @t71 () (tptp.class_RealVector_Oreal__normed__vector @t43)) % 44.44/44.65 (define @t72 () (@var "V_a" $$unsorted)) % 44.44/44.65 (define @t73 () (tptp.hAPP @t46 @t72)) % 44.44/44.65 (define @t74 () (tptp.hAPP @t73 @t37)) % 44.44/44.65 (define @t75 () (@var "V_m" $$unsorted)) % 44.44/44.65 (define @t76 () (tptp.hAPP @t73 @t75)) % 44.44/44.65 (define @t77 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t75 @t37)) % 44.44/44.65 (define @t78 () (tptp.class_Groups_Omonoid__mult @t43)) % 44.44/44.65 (define @t79 () (@list @t37 @t75 @t72 @t43)) % 44.44/44.65 (define @t80 () (@var "V_q" $$unsorted)) % 44.44/44.65 (define @t81 () (@var "V_p" $$unsorted)) % 44.44/44.65 (define @t82 () (tptp.hAPP @t47 @t80)) % 44.44/44.65 (define @t83 () (tptp.hAPP @t47 @t81)) % 44.44/44.65 (define @t84 () (tptp.class_Rings_Ocomm__semiring__1 @t43)) % 44.44/44.65 (define @t85 () (@list @t80 @t81 @t38 @t43)) % 44.44/44.65 (define @t86 () (tptp.c_Groups_Oone__class_Oone @t43)) % 44.44/44.65 (define @t87 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t86 @t72)) % 44.44/44.65 (define @t88 () (tptp.class_Rings_Olinordered__semidom @t43)) % 44.44/44.65 (define @t89 () (@list @t37 @t72 @t43)) % 44.44/44.65 (define @t90 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 44.44/44.65 (define @t91 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 tptp.v_t____)) % 44.44/44.65 (define @t92 () (tptp.hAPP @t28 @t52)) % 44.44/44.65 (define @t93 () (tptp.hAPP @t31 @t92)) % 44.44/44.65 (define @t94 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 44.44/44.65 (define @t95 () (tptp.hAPP (tptp.hAPP @t9 (tptp.hAPP (tptp.hAPP @t33 tptp.v_w____) tptp.v_k____)) tptp.v_a____)) % 44.44/44.65 (define @t96 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 44.44/44.65 (define @t97 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t96 @t95)) % 44.44/44.65 (define @t98 () (tptp.c_Groups_Ozero__class_Ozero @t43)) % 44.44/44.65 (define @t99 () (= (tptp.c_RealVector_Oof__real @t43 @t90) @t98)) % 44.44/44.65 (define @t100 () (@list @t43)) % 44.44/44.65 (define @t101 () (and @t64 @t71)) % 44.44/44.65 (define @t102 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t38)) % 44.44/44.65 (define @t103 () (= (tptp.c_RealVector_Oof__real @t43 @t102) (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t63))) % 44.44/44.65 (define @t104 () (tptp.class_Rings_Odivision__ring__inverse__zero @t43)) % 44.44/44.65 (define @t105 () (tptp.class_RealVector_Oreal__div__algebra @t43)) % 44.44/44.65 (define @t106 () (@list @t38 @t43)) % 44.44/44.65 (define @t107 () (tptp.c_RealVector_Onorm__class_Onorm @t43 @t72)) % 44.44/44.65 (define @t108 () (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t72)) % 44.44/44.65 (define @t109 () (= (tptp.c_RealVector_Onorm__class_Onorm @t43 @t108) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t107))) % 44.44/44.65 (define @t110 () (@list @t72 @t43)) % 44.44/44.65 (define @t111 () (@var "V_x_2" $$unsorted)) % 44.44/44.65 (define @t112 () (= @t111 @t98)) % 44.44/44.65 (define @t113 () (not @t112)) % 44.44/44.65 (define @t114 () (tptp.c_RealVector_Onorm__class_Onorm @t43 @t111)) % 44.44/44.65 (define @t115 () (@list @t111 @t43)) % 44.44/44.65 (define @t116 () (= @t111 @t90)) % 44.44/44.65 (define @t117 () (tptp.c_RealVector_Oof__real @t43 @t111)) % 44.44/44.65 (define @t118 () (@var "V_n_2" $$unsorted)) % 44.44/44.65 (define @t119 () (= @t118 @t20)) % 44.44/44.65 (define @t120 () (not @t119)) % 44.44/44.65 (define @t121 () (@var "V_aa_2" $$unsorted)) % 44.44/44.65 (define @t122 () (= @t121 @t98)) % 44.44/44.65 (define @t123 () (tptp.hAPP @t46 @t121)) % 44.44/44.65 (define @t124 () (tptp.hAPP @t123 @t118)) % 44.44/44.65 (define @t125 () (tptp.class_Rings_Ozero__neq__one @t43)) % 44.44/44.65 (define @t126 () (tptp.class_Rings_Ono__zero__divisors @t43)) % 44.44/44.65 (define @t127 () (tptp.class_Rings_Omult__zero @t43)) % 44.44/44.65 (define @t128 () (tptp.class_Power_Opower @t43)) % 44.44/44.65 (define @t129 () (@list @t118 @t121 @t43)) % 44.44/44.65 (define @t130 () (= @t72 @t98)) % 44.44/44.65 (define @t131 () (not @t130)) % 44.44/44.65 (define @t132 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t74) (tptp.hAPP (tptp.hAPP @t46 @t108) @t37))) % 44.44/44.65 (define @t133 () (tptp.class_Rings_Odivision__ring @t43)) % 44.44/44.65 (define @t134 () (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t72)) % 44.44/44.65 (define @t135 () (@var "V_b" $$unsorted)) % 44.44/44.65 (define @t136 () (tptp.hAPP (tptp.hAPP @t46 @t135) @t37)) % 44.44/44.65 (define @t137 () (tptp.c_Orderings_Oord__class_Oless @t43 @t74 @t136)) % 44.44/44.65 (define @t138 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 @t37)) % 44.44/44.65 (define @t139 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t72)) % 44.44/44.65 (define @t140 () (tptp.c_Orderings_Oord__class_Oless @t43 @t72 @t135)) % 44.44/44.65 (define @t141 () (@list @t37 @t135 @t72 @t43)) % 44.44/44.65 (define @t142 () (@var "V_N" $$unsorted)) % 44.44/44.65 (define @t143 () (tptp.hAPP @t73 @t142)) % 44.44/44.65 (define @t144 () (tptp.c_Orderings_Oord__class_Oless @t43 @t72 @t86)) % 44.44/44.65 (define @t145 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t142)) % 44.44/44.65 (define @t146 () (@list @t72 @t142 @t37 @t43)) % 44.44/44.65 (define @t147 () (tptp.c_Orderings_Oord__class_Oless @t43 @t86 @t72)) % 44.44/44.65 (define @t148 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 44.44/44.65 (define @t149 () (tptp.hAPP @t148 @t81)) % 44.44/44.65 (define @t150 () (tptp.hAPP @t148 @t75)) % 44.44/44.65 (define @t151 () (tptp.hAPP @t150 @t37)) % 44.44/44.65 (define @t152 () (tptp.hAPP @t57 @t72)) % 44.44/44.65 (define @t153 () (= (tptp.hAPP @t152 @t98) @t98)) % 44.44/44.65 (define @t154 () (tptp.hAPP @t57 @t98)) % 44.44/44.65 (define @t155 () (@list @t54 @t43)) % 44.44/44.65 (define @t156 () (= (tptp.hAPP @t154 @t72) @t98)) % 44.44/44.65 (define @t157 () (@var "V_b_2" $$unsorted)) % 44.44/44.65 (define @t158 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t157 @t121)) % 44.44/44.65 (define @t159 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t43)) % 44.44/44.65 (define @t160 () (@list @t121 @t157 @t43)) % 44.44/44.65 (define @t161 () (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 @t98) @t72)) % 44.44/44.65 (define @t162 () (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t98 @t72) @t72)) % 44.44/44.65 (define @t163 () (tptp.class_Rings_Oring__1__no__zero__divisors @t43)) % 44.44/44.65 (define @t164 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t75 @t37)) % 44.44/44.65 (define @t165 () (@var "V_y_2" $$unsorted)) % 44.44/44.65 (define @t166 () (tptp.hAPP @t46 @t157)) % 44.44/44.65 (define @t167 () (tptp.hAPP @t166 @t165)) % 44.44/44.65 (define @t168 () (tptp.hAPP @t166 @t111)) % 44.44/44.65 (define @t169 () (tptp.c_Orderings_Oord__class_Oless @t43 @t86 @t157)) % 44.44/44.65 (define @t170 () (@list @t165 @t111 @t157 @t43)) % 44.44/44.65 (define @t171 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t135)) % 44.44/44.65 (define @t172 () (@list @t135 @t37 @t72 @t43)) % 44.44/44.65 (define @t173 () (tptp.hAPP (tptp.hAPP @t46 @t98) @t37)) % 44.44/44.65 (define @t174 () (= @t37 @t20)) % 44.44/44.65 (define @t175 () (not @t174)) % 44.44/44.65 (define @t176 () (tptp.class_Rings_Osemiring__0 @t43)) % 44.44/44.65 (define @t177 () (@list @t37 @t43)) % 44.44/44.65 (define @t178 () (@var "B_y" $$unsorted)) % 44.44/44.65 (define @t179 () (@list @t3 @t178)) % 44.44/44.65 (define @t180 () (@var "T_b" $$unsorted)) % 44.44/44.65 (define @t181 () (@var "V_z" $$unsorted)) % 44.44/44.65 (define @t182 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t181)) % 44.44/44.65 (define @t183 () (@var "V_w" $$unsorted)) % 44.44/44.65 (define @t184 () (@list @t181 @t183)) % 44.44/44.65 (define @t185 () (tptp.hAPP @t152 @t74)) % 44.44/44.65 (define @t186 () (@var "V_ma_2" $$unsorted)) % 44.44/44.65 (define @t187 () (= @t186 @t118)) % 44.44/44.65 (define @t188 () (@var "V_d" $$unsorted)) % 44.44/44.65 (define @t189 () (@var "V_r" $$unsorted)) % 44.44/44.65 (define @t190 () (tptp.hAPP @t57 @t189)) % 44.44/44.65 (define @t191 () (@var "V_c" $$unsorted)) % 44.44/44.65 (define @t192 () (= @t72 @t135)) % 44.44/44.65 (define @t193 () (@var "V_s" $$unsorted)) % 44.44/44.65 (define @t194 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t193)) % 44.44/44.65 (define @t195 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t44 @t189)) % 44.44/44.65 (define @t196 () (@list @t193 @t54 @t189 @t38 @t43)) % 44.44/44.65 (define @t197 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t72 @t135)) % 44.44/44.65 (define @t198 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t74)) % 44.44/44.65 (define @t199 () (=> @t139 @t198)) % 44.44/44.65 (define @t200 () (forall @t89 (=> @t88 @t199))) % 44.44/44.65 (define @t201 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t75 @t37)) % 44.44/44.65 (define @t202 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t72 @t86)) % 44.44/44.65 (define @t203 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t37 @t142)) % 44.44/44.65 (define @t204 () (@var "V_ry" $$unsorted)) % 44.44/44.65 (define @t205 () (@var "V_ly" $$unsorted)) % 44.44/44.65 (define @t206 () (tptp.hAPP @t57 @t205)) % 44.44/44.65 (define @t207 () (@var "V_rx" $$unsorted)) % 44.44/44.65 (define @t208 () (@var "V_lx" $$unsorted)) % 44.44/44.65 (define @t209 () (tptp.hAPP @t57 @t208)) % 44.44/44.65 (define @t210 () (tptp.hAPP @t57 (tptp.hAPP @t209 @t207))) % 44.44/44.65 (define @t211 () (tptp.hAPP @t57 @t207)) % 44.44/44.65 (define @t212 () (tptp.hAPP @t211 @t204)) % 44.44/44.65 (define @t213 () (tptp.hAPP @t57 (tptp.hAPP @t209 @t205))) % 44.44/44.65 (define @t214 () (tptp.hAPP @t213 @t212)) % 44.44/44.65 (define @t215 () (@list @t204 @t207 @t205 @t208 @t43)) % 44.44/44.65 (define @t216 () (tptp.hAPP @t213 @t207)) % 44.44/44.65 (define @t217 () (@list @t207 @t205 @t208 @t43)) % 44.44/44.65 (define @t218 () (tptp.hAPP @t209 @t212)) % 44.44/44.65 (define @t219 () (@list @t204 @t207 @t208 @t43)) % 44.44/44.65 (define @t220 () (tptp.hAPP @t57 @t135)) % 44.44/44.65 (define @t221 () (tptp.hAPP @t220 @t72)) % 44.44/44.65 (define @t222 () (tptp.hAPP @t152 @t135)) % 44.44/44.65 (define @t223 () (@list @t135 @t72 @t43)) % 44.44/44.65 (define @t224 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t135 @t188)) % 44.44/44.65 (define @t225 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 @t191)) % 44.44/44.65 (define @t226 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t191 @t188)) % 44.44/44.65 (define @t227 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 @t135)) % 44.44/44.65 (define @t228 () (@list @t188 @t191 @t135 @t72 @t43)) % 44.44/44.65 (define @t229 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t227 @t191)) % 44.44/44.65 (define @t230 () (@list @t191 @t135 @t72 @t43)) % 44.44/44.65 (define @t231 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t135 @t191)) % 44.44/44.65 (define @t232 () (= @t229 (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 @t231))) % 44.44/44.65 (define @t233 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 @t226)) % 44.44/44.65 (define @t234 () (@list @t188 @t191 @t72 @t43)) % 44.44/44.65 (define @t235 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t191 @t72)) % 44.44/44.65 (define @t236 () (= @t111 @t165)) % 44.44/44.65 (define @t237 () (@list @t165 @t111 @t43)) % 44.44/44.65 (define @t238 () (@var "V_z_2" $$unsorted)) % 44.44/44.65 (define @t239 () (@var "V_wa_2" $$unsorted)) % 44.44/44.65 (define @t240 () (tptp.hAPP @t57 @t111)) % 44.44/44.65 (define @t241 () (tptp.hAPP @t57 @t239)) % 44.44/44.65 (define @t242 () (tptp.hAPP @t57 @t227)) % 44.44/44.65 (define @t243 () (tptp.hAPP @t152 @t75)) % 44.44/44.65 (define @t244 () (@var "V_ya" $$unsorted)) % 44.44/44.65 (define @t245 () (tptp.hAPP @t57 @t54)) % 44.44/44.65 (define @t246 () (tptp.hAPP @t245 @t244)) % 44.44/44.65 (define @t247 () (tptp.hAPP @t58 @t244)) % 44.44/44.65 (define @t248 () (@list @t244 @t54 @t38 @t43)) % 44.44/44.65 (define @t249 () (@var "V_a_H" $$unsorted)) % 44.44/44.65 (define @t250 () (tptp.hAPP (tptp.hAPP @t57 @t249) @t135)) % 44.44/44.65 (define @t251 () (@list @t135 @t249 @t72 @t43)) % 44.44/44.65 (define @t252 () (tptp.hAPP @t220 @t191)) % 44.44/44.65 (define @t253 () (tptp.hAPP @t152 @t191)) % 44.44/44.65 (define @t254 () (= (tptp.hAPP @t242 @t191) (tptp.c_Groups_Oplus__class_Oplus @t43 @t253 @t252))) % 44.44/44.65 (define @t255 () (@var "V_ca_2" $$unsorted)) % 44.44/44.65 (define @t256 () (tptp.hAPP @t57 @t157)) % 44.44/44.65 (define @t257 () (tptp.hAPP @t256 @t255)) % 44.44/44.65 (define @t258 () (@var "V_d_2" $$unsorted)) % 44.44/44.65 (define @t259 () (tptp.hAPP @t57 @t121)) % 44.44/44.65 (define @t260 () (tptp.hAPP @t259 @t255)) % 44.44/44.65 (define @t261 () (= @t255 @t258)) % 44.44/44.65 (define @t262 () (= @t121 @t157)) % 44.44/44.65 (define @t263 () (@list @t258 @t255 @t157 @t121 @t43)) % 44.44/44.65 (define @t264 () (@var "V_xa" $$unsorted)) % 44.44/44.65 (define @t265 () (tptp.hAPP @t57 @t264)) % 44.44/44.65 (define @t266 () (tptp.hAPP @t265 @t54)) % 44.44/44.65 (define @t267 () (tptp.hAPP @t265 @t38)) % 44.44/44.65 (define @t268 () (@list @t54 @t38 @t264 @t43)) % 44.44/44.65 (define @t269 () (@list @t181 @t54 @t38 @t43)) % 44.44/44.65 (define @t270 () (@var "V_b_H" $$unsorted)) % 44.44/44.65 (define @t271 () (tptp.hAPP @t152 @t270)) % 44.44/44.65 (define @t272 () (@list @t270 @t135 @t72 @t43)) % 44.44/44.65 (define @t273 () (= (tptp.hAPP @t152 @t86) @t72)) % 44.44/44.65 (define @t274 () (= (tptp.hAPP (tptp.hAPP @t57 @t86) @t72) @t72)) % 44.44/44.65 (define @t275 () (tptp.hAPP @t46 @t54)) % 44.44/44.65 (define @t276 () (tptp.hAPP @t57 @t74)) % 44.44/44.65 (define @t277 () (tptp.class_Groups_Ocomm__monoid__mult @t43)) % 44.44/44.65 (define @t278 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t54)) % 44.44/44.65 (define @t279 () (= (tptp.c_RealVector_Oof__real @t43 @t278) (tptp.c_Groups_Oplus__class_Oplus @t43 @t63 @t66))) % 44.44/44.65 (define @t280 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 @t86)) % 44.44/44.65 (define @t281 () (tptp.hAPP (tptp.hAPP @t57 @t280) @t75)) % 44.44/44.65 (define @t282 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t86 @t86)) % 44.44/44.65 (define @t283 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t41 @t30)) % 44.44/44.65 (define @t284 () (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t283)) % 44.44/44.65 (define @t285 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t284 @t35)) % 44.44/44.65 (define @t286 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t285)) % 44.44/44.65 (define @t287 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t96 (tptp.hAPP (tptp.hAPP @t9 (tptp.hAPP (tptp.hAPP @t33 @t8) tptp.v_k____)) @t95)) @t35)) % 44.44/44.65 (define @t288 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t96 (tptp.hAPP @t34 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_a____ (tptp.hAPP (tptp.hAPP @t9 @t10) @t12))))) % 44.44/44.65 (define @t289 () (@var "V_v" $$unsorted)) % 44.44/44.65 (define @t290 () (@var "V_u" $$unsorted)) % 44.44/44.65 (define @t291 () (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP (tptp.hAPP @t57 @t290) @t38) (tptp.hAPP (tptp.hAPP @t57 @t289) @t54))) % 44.44/44.65 (define @t292 () (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t290 @t289) @t86)) % 44.44/44.65 (define @t293 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t289)) % 44.44/44.65 (define @t294 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t290)) % 44.44/44.65 (define @t295 () (@list @t289 @t290 @t54 @t72 @t38 @t43)) % 44.44/44.65 (define @t296 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t30)) % 44.44/44.65 (define @t297 () (tptp.class_Fields_Olinordered__field @t43)) % 44.44/44.65 (define @t298 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t111 @t98)) % 44.44/44.65 (define @t299 () (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t111)) % 44.44/44.65 (define @t300 () (tptp.class_Fields_Olinordered__field__inverse__zero @t43)) % 44.44/44.65 (define @t301 () (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t111)) % 44.44/44.65 (define @t302 () (= @t38 @t98)) % 44.44/44.65 (define @t303 () (tptp.hAPP @t25 @t191)) % 44.44/44.65 (define @t304 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t191 @t90)) % 44.44/44.65 (define @t305 () (tptp.hAPP @t57 @t108)) % 44.44/44.65 (define @t306 () (=> @t131 (= (tptp.hAPP @t305 @t72) @t86))) % 44.44/44.65 (define @t307 () (tptp.hAPP @t94 tptp.v_c____)) % 44.44/44.65 (define @t308 () (= @t307 @t7)) % 44.44/44.65 (define @t309 () (@var "B_w" $$unsorted)) % 44.44/44.65 (define @t310 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t94 @t309))) % 44.44/44.65 (define @t311 () (@list @t309)) % 44.44/44.65 (define @t312 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 44.44/44.65 (define @t313 () (= @t312 @t22)) % 44.44/44.65 (define @t314 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t288)) % 44.44/44.65 (define @t315 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t38 @t54)) % 44.44/44.65 (define @t316 () (= (tptp.c_RealVector_Oof__real @t43 @t315) (tptp.c_Groups_Ominus__class_Ominus @t43 @t63 @t66))) % 44.44/44.65 (define @t317 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t72 @t135)) % 44.44/44.65 (define @t318 () (tptp.c_RealVector_Onorm__class_Onorm @t43 @t317)) % 44.44/44.65 (define @t319 () (tptp.c_RealVector_Onorm__class_Onorm @t43 @t135)) % 44.44/44.65 (define @t320 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t107 @t319)) % 44.44/44.65 (define @t321 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t38 @t54)) % 44.44/44.65 (define @t322 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t135 @t72)) % 44.44/44.65 (define @t323 () (@var "V_i" $$unsorted)) % 44.44/44.65 (define @t324 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 44.44/44.65 (define @t325 () (tptp.hAPP @t324 @t323)) % 44.44/44.65 (define @t326 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 @t111)) % 44.44/44.65 (define @t327 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 (tptp.hAPP (tptp.hAPP @t324 @t111) @t118))) % 44.44/44.65 (define @t328 () (@list @t118 @t111)) % 44.44/44.65 (define @t329 () (@var "V_e_2" $$unsorted)) % 44.44/44.65 (define @t330 () (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP (tptp.hAPP @t57 (tptp.c_Groups_Ominus__class_Ominus @t43 @t157 @t121)) @t329) @t258)) % 44.44/44.65 (define @t331 () (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t256 @t329) @t258)) % 44.44/44.65 (define @t332 () (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t259 @t329) @t255)) % 44.44/44.65 (define @t333 () (= @t332 @t331)) % 44.44/44.65 (define @t334 () (tptp.class_Rings_Oring @t43)) % 44.44/44.65 (define @t335 () (@list @t258 @t157 @t255 @t329 @t121 @t43)) % 44.44/44.65 (define @t336 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t121 @t157)) % 44.44/44.65 (define @t337 () (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP (tptp.hAPP @t57 @t336) @t329) @t255)) % 44.44/44.65 (define @t338 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t332 @t331)) % 44.44/44.65 (define @t339 () (tptp.class_Rings_Oordered__ring @t43)) % 44.44/44.65 (define @t340 () (tptp.c_Orderings_Oord__class_Oless @t43 @t332 @t331)) % 44.44/44.65 (define @t341 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t54 @t135)) % 44.44/44.65 (define @t342 () (tptp.hAPP @t57 (tptp.c_Groups_Ominus__class_Ominus @t43 @t38 @t72))) % 44.44/44.65 (define @t343 () (tptp.hAPP @t342 @t135)) % 44.44/44.65 (define @t344 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t59 @t222)) % 44.44/44.65 (define @t345 () (@list @t135 @t72 @t54 @t38 @t43)) % 44.44/44.65 (define @t346 () (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t135)) % 44.44/44.65 (define @t347 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t108 @t346)) % 44.44/44.65 (define @t348 () (= @t135 @t98)) % 44.44/44.65 (define @t349 () (not @t348)) % 44.44/44.65 (define @t350 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90 @t44)) % 44.44/44.65 (define @t351 () (forall @t106 (=> @t71 @t350))) % 44.44/44.65 (define @t352 () (tptp.c_Orderings_Oord__class_Oless @t43 @t54 @t38)) % 44.44/44.65 (define @t353 () (tptp.c_Orderings_Oord__class_Oless @t43 @t38 @t54)) % 44.44/44.65 (define @t354 () (not @t353)) % 44.44/44.65 (define @t355 () (= @t38 @t54)) % 44.44/44.65 (define @t356 () (not @t355)) % 44.44/44.65 (define @t357 () (=> @t356 (=> @t354 @t352))) % 44.44/44.65 (define @t358 () (tptp.class_Rings_Olinordered__idom @t43)) % 44.44/44.65 (define @t359 () (@var "B_n" $$unsorted)) % 44.44/44.65 (define @t360 () (@var "V_ka_2" $$unsorted)) % 44.44/44.65 (define @t361 () (@var "V_l_2" $$unsorted)) % 44.44/44.65 (define @t362 () (@list @t359)) % 44.44/44.65 (define @t363 () (@list @t361 @t360)) % 44.44/44.65 (define @t364 () (= @t108 @t346)) % 44.44/44.65 (define @t365 () (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t121)) % 44.44/44.65 (define @t366 () (@list @t157 @t121 @t43)) % 44.44/44.65 (define @t367 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t108) @t72)) % 44.44/44.65 (define @t368 () (= @t38 @t90)) % 44.44/44.65 (define @t369 () (not @t368)) % 44.44/44.65 (define @t370 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t135 @t188)) % 44.44/44.65 (define @t371 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t72 @t191)) % 44.44/44.65 (define @t372 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t227 @t226)) % 44.44/44.65 (define @t373 () (tptp.hAPP @t259 @t157)) % 44.44/44.65 (define @t374 () (= @t222 @t98)) % 44.44/44.65 (define @t375 () (@var "V_e" $$unsorted)) % 44.44/44.65 (define @t376 () (= @t108 @t98)) % 44.44/44.65 (define @t377 () (@list @t121 @t43)) % 44.44/44.65 (define @t378 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t98) @t98)) % 44.44/44.65 (define @t379 () (tptp.class_Fields_Ofield__inverse__zero @t43)) % 44.44/44.65 (define @t380 () (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t222)) % 44.44/44.65 (define @t381 () (= @t111 @t86)) % 44.44/44.65 (define @t382 () (tptp.hAPP @t152 @t72)) % 44.44/44.65 (define @t383 () (tptp.class_Rings_Olinordered__ring @t43)) % 44.44/44.65 (define @t384 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t157 @t98)) % 44.44/44.65 (define @t385 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t121 @t98)) % 44.44/44.65 (define @t386 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t157)) % 44.44/44.65 (define @t387 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t121)) % 44.44/44.65 (define @t388 () (tptp.class_Rings_Olinordered__ring__strict @t43)) % 44.44/44.65 (define @t389 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t222)) % 44.44/44.65 (define @t390 () (tptp.class_Rings_Oordered__cancel__semiring @t43)) % 44.44/44.65 (define @t391 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t222 @t98)) % 44.44/44.65 (define @t392 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t135 @t98)) % 44.44/44.65 (define @t393 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t72 @t98)) % 44.44/44.65 (define @t394 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t253 @t252)) % 44.44/44.65 (define @t395 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t191)) % 44.44/44.65 (define @t396 () (=> @t395 @t394)) % 44.44/44.65 (define @t397 () (=> @t197 @t396)) % 44.44/44.65 (define @t398 () (tptp.class_Rings_Oordered__semiring @t43)) % 44.44/44.65 (define @t399 () (forall @t230 (=> @t398 @t397))) % 44.44/44.65 (define @t400 () (tptp.hAPP @t57 @t191)) % 44.44/44.65 (define @t401 () (tptp.hAPP @t400 @t135)) % 44.44/44.65 (define @t402 () (tptp.hAPP @t400 @t72)) % 44.44/44.65 (define @t403 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t402 @t401)) % 44.44/44.65 (define @t404 () (=> @t197 (=> @t395 @t403))) % 44.44/44.65 (define @t405 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t191 @t98)) % 44.44/44.65 (define @t406 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t135 @t72)) % 44.44/44.65 (define @t407 () (@list @t191 @t72 @t135 @t43)) % 44.44/44.65 (define @t408 () (tptp.hAPP @t220 @t188)) % 44.44/44.65 (define @t409 () (=> @t395 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t253 @t408))) % 44.44/44.65 (define @t410 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t191 @t188)) % 44.44/44.65 (define @t411 () (tptp.c_Orderings_Oord__class_Oless @t43 @t402 @t401)) % 44.44/44.65 (define @t412 () (tptp.c_Orderings_Oord__class_Oless @t43 @t191 @t98)) % 44.44/44.65 (define @t413 () (tptp.c_Orderings_Oord__class_Oless @t43 @t135 @t72)) % 44.44/44.65 (define @t414 () (tptp.c_Orderings_Oord__class_Oless @t43 @t253 @t252)) % 44.44/44.65 (define @t415 () (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t191)) % 44.44/44.65 (define @t416 () (=> @t140 (=> @t415 @t411))) % 44.44/44.65 (define @t417 () (tptp.class_Rings_Olinordered__semiring__strict @t43)) % 44.44/44.65 (define @t418 () (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t222)) % 44.44/44.65 (define @t419 () (tptp.c_Orderings_Oord__class_Oless @t43 @t135 @t98)) % 44.44/44.65 (define @t420 () (tptp.c_Orderings_Oord__class_Oless @t43 @t72 @t98)) % 44.44/44.65 (define @t421 () (tptp.c_Orderings_Oord__class_Oless @t43 @t222 @t98)) % 44.44/44.65 (define @t422 () (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t135)) % 44.44/44.65 (define @t423 () (tptp.c_Orderings_Oord__class_Oless @t43 @t157 @t121)) % 44.44/44.65 (define @t424 () (tptp.hAPP @t57 @t255)) % 44.44/44.65 (define @t425 () (tptp.hAPP @t424 @t157)) % 44.44/44.65 (define @t426 () (tptp.hAPP @t424 @t121)) % 44.44/44.65 (define @t427 () (tptp.c_Orderings_Oord__class_Oless @t43 @t426 @t425)) % 44.44/44.65 (define @t428 () (tptp.c_Orderings_Oord__class_Oless @t43 @t255 @t98)) % 44.44/44.65 (define @t429 () (@list @t157 @t121 @t255 @t43)) % 44.44/44.65 (define @t430 () (=> @t134 @t422)) % 44.44/44.65 (define @t431 () (@list @t72 @t135 @t43)) % 44.44/44.65 (define @t432 () (tptp.c_Orderings_Oord__class_Oless @t43 @t121 @t157)) % 44.44/44.65 (define @t433 () (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t255)) % 44.44/44.65 (define @t434 () (or (and @t433 @t432) (and @t428 @t423))) % 44.44/44.65 (define @t435 () (@list @t157 @t255 @t121 @t43)) % 44.44/44.65 (define @t436 () (tptp.c_Orderings_Oord__class_Oless @t43 @t135 @t225)) % 44.44/44.65 (define @t437 () (tptp.c_Orderings_Oord__class_Oless @t43 @t135 @t191)) % 44.44/44.65 (define @t438 () (=> @t437 @t436)) % 44.44/44.65 (define @t439 () (tptp.hAPP @t57 @t75)) % 44.44/44.65 (define @t440 () (tptp.c_Orderings_Oord__class_Oless @t43 @t108 @t346)) % 44.44/44.65 (define @t441 () (tptp.c_Orderings_Oord__class_Oless @t43 @t108 @t98)) % 44.44/44.65 (define @t442 () (tptp.c_Orderings_Oord__class_Oless @t43 @t346 @t108)) % 44.44/44.65 (define @t443 () (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t108)) % 44.44/44.65 (define @t444 () (tptp.c_Orderings_Oord__class_Oless @t43 @t121 @t98)) % 44.44/44.65 (define @t445 () (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t121)) % 44.44/44.65 (define @t446 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t121 @t157)) % 44.44/44.65 (define @t447 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t426 @t425)) % 44.44/44.65 (define @t448 () (= @t447 @t446)) % 44.44/44.65 (define @t449 () (=> @t433 @t448)) % 44.44/44.65 (define @t450 () (forall @t429 (=> @t388 @t449))) % 44.44/44.65 (define @t451 () (tptp.c_Orderings_Oord__class_Oless @t43 @t253 @t408)) % 44.44/44.65 (define @t452 () (=> @t395 @t451)) % 44.44/44.65 (define @t453 () (tptp.c_Orderings_Oord__class_Oless @t43 @t191 @t188)) % 44.44/44.65 (define @t454 () (=> @t395 @t140)) % 44.44/44.65 (define @t455 () (=> @t414 @t454)) % 44.44/44.65 (define @t456 () (tptp.class_Rings_Olinordered__semiring @t43)) % 44.44/44.65 (define @t457 () (@list @t135 @t191 @t72 @t43)) % 44.44/44.65 (define @t458 () (=> @t411 @t454)) % 44.44/44.65 (define @t459 () (@list @t135 @t72 @t191 @t43)) % 44.44/44.65 (define @t460 () (=> @t415 @t197)) % 44.44/44.65 (define @t461 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t54 @t86)) % 44.44/44.65 (define @t462 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t54)) % 44.44/44.65 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t38)) % 44.44/44.65 (define @t464 () (tptp.hAPP @t245 @t38)) % 44.44/44.65 (define @t465 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t108 @t346)) % 44.44/44.65 (define @t466 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t346 @t108)) % 44.44/44.65 (define @t467 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t108 @t346)) % 44.44/44.65 (define @t468 () (tptp.class_Fields_Ofield @t43)) % 44.44/44.65 (define @t469 () (@var "B_t" $$unsorted)) % 44.44/44.65 (define @t470 () (@var "B_m" $$unsorted)) % 44.44/44.65 (define @t471 () (forall @t19 (=> @t18 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 @t470)))) % 44.44/44.65 (define @t472 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t470)) % 44.44/44.65 (define @t473 () (@list @t470)) % 44.44/44.65 (define @t474 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t96)) % 44.44/44.65 (define @t475 () (@list @t37)) % 44.44/44.65 (define @t476 () (@var "V_t" $$unsorted)) % 44.44/44.65 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90 @t38)) % 44.44/44.65 (define @t478 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t75 @t37)) % 44.44/44.65 (define @t479 () (@list @t37 @t75)) % 44.44/44.65 (define @t480 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t121)) % 44.44/44.65 (define @t481 () (tptp.c_Orderings_Oord__class_Oless @t43 @t480 @t157)) % 44.44/44.65 (define @t482 () (tptp.c_Groups_Oabs__class_Oabs @t43 @t121)) % 44.44/44.65 (define @t483 () (@var "V_k" $$unsorted)) % 44.44/44.65 (define @t484 () (@var "V_j" $$unsorted)) % 44.44/44.65 (define @t485 () (@var "V_l" $$unsorted)) % 44.44/44.65 (define @t486 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t485 @t75)) % 44.44/44.65 (define @t487 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t485 @t37)) % 44.44/44.65 (define @t488 () (@list @t485 @t37 @t75)) % 44.44/44.65 (define @t489 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t360)) % 44.44/44.65 (define @t490 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t186 @t360)) % 44.44/44.65 (define @t491 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t360 @t118)) % 44.44/44.65 (define @t492 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t360 @t186)) % 44.44/44.65 (define @t493 () (@list @t118 @t186 @t360)) % 44.44/44.65 (define @t494 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t483 @t37)) % 44.44/44.65 (define @t495 () (@list @t37 @t75 @t483)) % 44.44/44.65 (define @t496 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t186 @t118)) % 44.44/44.65 (define @t497 () (tptp.c_Groups_Oabs__class_Oabs @t43 @t74)) % 44.44/44.65 (define @t498 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t72)) % 44.44/44.65 (define @t499 () (tptp.hAPP (tptp.hAPP @t46 @t498) @t37)) % 44.44/44.65 (define @t500 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t38)) % 44.44/44.65 (define @t501 () (= (tptp.c_RealVector_Oof__real @t43 @t500) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t63))) % 44.44/44.65 (define @t502 () (= @t75 @t37)) % 44.44/44.65 (define @t503 () (= @t478 @t20)) % 44.44/44.65 (define @t504 () (@list @t75)) % 44.44/44.65 (define @t505 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 @t75)) % 44.44/44.65 (define @t506 () (@list @t75 @t37)) % 44.44/44.65 (define @t507 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t484 @t483)) % 44.44/44.65 (define @t508 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t323 @t484)) % 44.44/44.65 (define @t509 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t508 @t483)) % 44.44/44.65 (define @t510 () (@list @t483 @t484 @t323)) % 44.44/44.65 (define @t511 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t483 @t37)) % 44.44/44.65 (define @t512 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 @t483)) % 44.44/44.65 (define @t513 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t75 @t483)) % 44.44/44.65 (define @t514 () (@list @t37 @t483 @t75)) % 44.44/44.65 (define @t515 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t189)) % 44.44/44.65 (define @t516 () (@list @t189)) % 44.44/44.65 (define @t517 () (tptp.hAPP @t148 @t37)) % 44.44/44.65 (define @t518 () (tptp.hAPP @t517 @t483)) % 44.44/44.65 (define @t519 () (tptp.hAPP @t150 @t483)) % 44.44/44.65 (define @t520 () (@list @t483 @t37 @t75)) % 44.44/44.65 (define @t521 () (tptp.hAPP @t148 @t483)) % 44.44/44.65 (define @t522 () (tptp.hAPP @t521 @t37)) % 44.44/44.65 (define @t523 () (tptp.hAPP @t521 @t75)) % 44.44/44.65 (define @t524 () (tptp.c_Groups_Oabs__class_Oabs @t43 @t72)) % 44.44/44.65 (define @t525 () (tptp.hAPP @t57 @t524)) % 44.44/44.65 (define @t526 () (tptp.c_Groups_Oabs__class_Oabs @t43 @t135)) % 44.44/44.65 (define @t527 () (tptp.hAPP @t525 @t526)) % 44.44/44.65 (define @t528 () (= (tptp.c_Groups_Oabs__class_Oabs @t43 @t222) @t527)) % 44.44/44.65 (define @t529 () (tptp.hAPP (tptp.hAPP @t46 @t524) @t37)) % 44.44/44.65 (define @t530 () (= (tptp.c_Groups_Oabs__class_Oabs @t43 @t108) (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t524))) % 44.44/44.65 (define @t531 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t38)) % 44.44/44.65 (define @t532 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t222)) % 44.44/44.65 (define @t533 () (tptp.hAPP @t57 @t498)) % 44.44/44.65 (define @t534 () (tptp.hAPP @t533 @t135)) % 44.44/44.65 (define @t535 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t135)) % 44.44/44.65 (define @t536 () (tptp.hAPP @t152 @t535)) % 44.44/44.65 (define @t537 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t157)) % 44.44/44.65 (define @t538 () (= @t121 @t537)) % 44.44/44.65 (define @t539 () (tptp.class_Rings_Oidom @t43)) % 44.44/44.65 (define @t540 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t498) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t108))) % 44.44/44.65 (define @t541 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t118)) % 44.44/44.65 (define @t542 () (@list @t186 @t118)) % 44.44/44.65 (define @t543 () (@list @t118 @t186)) % 44.44/44.65 (define @t544 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 @t478) @t75)) % 44.44/44.65 (define @t545 () (@var "V_j_2" $$unsorted)) % 44.44/44.65 (define @t546 () (@var "V_i_2" $$unsorted)) % 44.44/44.65 (define @t547 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t546 @t360)) % 44.44/44.65 (define @t548 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t545 @t360)) % 44.44/44.65 (define @t549 () (@list @t360 @t545 @t546)) % 44.44/44.65 (define @t550 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t323 @t483)) % 44.44/44.65 (define @t551 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t484 @t483)) % 44.44/44.65 (define @t552 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t483 @t484)) % 44.44/44.65 (define @t553 () (@list @t323 @t484 @t483)) % 44.44/44.65 (define @t554 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t37 @t75)) % 44.44/44.65 (define @t555 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t323 @t484)) % 44.44/44.65 (define @t556 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t555 @t483)) % 44.44/44.65 (define @t557 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t323 @t551)) % 44.44/44.65 (define @t558 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t545 @t546)) % 44.44/44.65 (define @t559 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t546 @t545)) % 44.44/44.65 (define @t560 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t484 @t323)) % 44.44/44.65 (define @t561 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t560 @t483)) % 44.44/44.65 (define @t562 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t551 @t323)) % 44.44/44.65 (define @t563 () (@list @t188 @t135 @t191 @t72 @t43)) % 44.44/44.65 (define @t564 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t86)) % 44.44/44.65 (define @t565 () (tptp.class_Rings_Ocomm__ring__1 @t43)) % 44.44/44.65 (define @t566 () (tptp.hAPP @t240 @t111)) % 44.44/44.65 (define @t567 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t54)) % 44.44/44.65 (define @t568 () (@var "B_d" $$unsorted)) % 44.44/44.65 (define @t569 () (@var "V_P_2" $$unsorted)) % 44.44/44.65 (define @t570 () (tptp.hBOOL (tptp.hAPP @t569 @t568))) % 44.44/44.65 (define @t571 () (= @t121 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t157 @t568))) % 44.44/44.65 (define @t572 () (@list @t568)) % 44.44/44.65 (define @t573 () (tptp.hBOOL (tptp.hAPP @t569 @t20))) % 44.44/44.65 (define @t574 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t121 @t157)) % 44.44/44.65 (define @t575 () (tptp.hBOOL (tptp.hAPP @t569 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t121 @t157)))) % 44.44/44.65 (define @t576 () (@list @t157 @t121 @t569)) % 44.44/44.65 (define @t577 () (tptp.c_RealVector_Oof__real @t43 @t189)) % 44.44/44.65 (define @t578 () (@list @t189 @t43)) % 44.44/44.65 (define @t579 () (tptp.tc_Polynomial_Opoly @t43)) % 44.44/44.65 (define @t580 () (tptp.c_Groups_Ozero__class_Ozero @t579)) % 44.44/44.65 (define @t581 () (@var "V_pb_2" $$unsorted)) % 44.44/44.65 (define @t582 () (= @t581 @t580)) % 44.44/44.65 (define @t583 () (tptp.class_Groups_Ozero @t43)) % 44.44/44.65 (define @t584 () (@list @t581 @t43)) % 44.44/44.65 (define @t585 () (tptp.class_Rings_Oring__1 @t43)) % 44.44/44.65 (define @t586 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t38)) % 44.44/44.65 (define @t587 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t569 @t118) @t186))) % 44.44/44.65 (define @t588 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118 @t186)) % 44.44/44.65 (define @t589 () (not @t502)) % 44.44/44.65 (define @t590 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t54)) % 44.44/44.65 (define @t591 () (@list @t54 @t38)) % 44.44/44.65 (define @t592 () (not @t187)) % 44.44/44.65 (define @t593 () (@list @t118 @t360 @t186)) % 44.44/44.65 (define @t594 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t360 @t118)) % 44.44/44.65 (define @t595 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t360 @t186)) % 44.44/44.65 (define @t596 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t54 @t181)) % 44.44/44.65 (define @t597 () (@list @t181 @t54 @t38)) % 44.44/44.65 (define @t598 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t323 @t484)) % 44.44/44.65 (define @t599 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 @t118)) % 44.44/44.65 (define @t600 () (@list @t118)) % 44.44/44.65 (define @t601 () (= @t186 @t20)) % 44.44/44.65 (define @t602 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t186 @t118)) % 44.44/44.65 (define @t603 () (tptp.hAPP @t148 @t186)) % 44.44/44.65 (define @t604 () (tptp.hAPP @t603 @t118)) % 44.44/44.65 (define @t605 () (= @t360 @t20)) % 44.44/44.65 (define @t606 () (or @t187 @t605)) % 44.44/44.65 (define @t607 () (tptp.hAPP @t148 @t360)) % 44.44/44.65 (define @t608 () (tptp.hAPP @t607 @t118)) % 44.44/44.65 (define @t609 () (tptp.hAPP @t607 @t186)) % 44.44/44.65 (define @t610 () (= @t609 @t608)) % 44.44/44.65 (define @t611 () (tptp.hAPP (tptp.hAPP @t148 @t118) @t360)) % 44.44/44.65 (define @t612 () (tptp.hAPP @t603 @t360)) % 44.44/44.65 (define @t613 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t483 @t485)) % 44.44/44.65 (define @t614 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t484 @t485)) % 44.44/44.65 (define @t615 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t323 @t484)) % 44.44/44.65 (define @t616 () (@list @t485 @t483 @t484 @t323)) % 44.44/44.65 (define @t617 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t75 @t484)) % 44.44/44.65 (define @t618 () (@list @t75 @t484 @t323)) % 44.44/44.65 (define @t619 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t484 @t75)) % 44.44/44.65 (define @t620 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t513 @t37)) % 44.44/44.65 (define @t621 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t483 @t485)) % 44.44/44.65 (define @t622 () (@var "B_k" $$unsorted)) % 44.44/44.65 (define @t623 () (tptp.hAPP @t148 @t484)) % 44.44/44.65 (define @t624 () (tptp.hAPP @t148 @t323)) % 44.44/44.65 (define @t625 () (tptp.hAPP @t624 @t483)) % 44.44/44.65 (define @t626 () (tptp.hAPP @t521 @t484)) % 44.44/44.65 (define @t627 () (tptp.hAPP @t521 @t323)) % 44.44/44.65 (define @t628 () (tptp.hAPP @t623 @t483)) % 44.44/44.65 (define @t629 () (tptp.hAPP @t150 @t75)) % 44.44/44.65 (define @t630 () (and (= @t186 @t21) (= @t118 @t21))) % 44.44/44.65 (define @t631 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 @t186)) % 44.44/44.65 (define @t632 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 @t360)) % 44.44/44.65 (define @t633 () (and @t632 @t541)) % 44.44/44.65 (define @t634 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t609 @t608)) % 44.44/44.65 (define @t635 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 @t483)) % 44.44/44.65 (define @t636 () (= @t75 @t20)) % 44.44/44.65 (define @t637 () (=> @t632 @t496)) % 44.44/44.65 (define @t638 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t609 @t608)) % 44.44/44.65 (define @t639 () (tptp.hAPP @t94 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_c____ @t3))) % 44.44/44.65 (define @t640 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q____)) % 44.44/44.65 (define @t641 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t581)) % 44.44/44.65 (define @t642 () (@var "B_q" $$unsorted)) % 44.44/44.65 (define @t643 () (forall @t6 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t642) @t3) @t639))) % 44.44/44.65 (define @t644 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t642)) % 44.44/44.65 (define @t645 () (= @t644 @t312)) % 44.44/44.65 (define @t646 () (@list @t642)) % 44.44/44.65 (define @t647 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_q____)) % 44.44/44.65 (define @t648 () (@list @t38)) % 44.44/44.65 (define @t649 () (tptp.hAPP @t640 @t7)) % 44.44/44.65 (define @t650 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t649)) % 44.44/44.65 (define @t651 () (tptp.c_Polynomial_Osmult tptp.tc_Complex_Ocomplex (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex @t649) tptp.v_q____)) % 44.44/44.65 (define @t652 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t651)) % 44.44/44.65 (define @t653 () (tptp.hAPP @t25 @t290)) % 44.44/44.65 (define @t654 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t111)) % 44.44/44.65 (define @t655 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t111 @t165)) % 44.44/44.65 (define @t656 () (@list @t165 @t111)) % 44.44/44.65 (define @t657 () (@list @t121 @t111)) % 44.44/44.65 (define @t658 () (@var "V_r_2" $$unsorted)) % 44.44/44.65 (define @t659 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t54))) % 44.44/44.65 (define @t660 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t72)) % 44.44/44.65 (define @t661 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t72 @t90)) % 44.44/44.65 (define @t662 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t189 @t90)) % 44.44/44.65 (define @t663 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t75)) % 44.44/44.65 (define @t664 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t485)) % 44.44/44.65 (define @t665 () (@list @t183)) % 44.44/44.65 (define @t666 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t183 @t181)) % 44.44/44.65 (define @t667 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t181 @t183)) % 44.44/44.65 (define @t668 () (@list @t183 @t181)) % 44.44/44.65 (define @t669 () (= @t181 @t183)) % 44.44/44.65 (define @t670 () (tptp.hAPP @t25 @t181)) % 44.44/44.65 (define @t671 () (@var "V_z3" $$unsorted)) % 44.44/44.65 (define @t672 () (@var "V_z2" $$unsorted)) % 44.44/44.65 (define @t673 () (tptp.hAPP @t25 @t672)) % 44.44/44.65 (define @t674 () (@var "V_z1" $$unsorted)) % 44.44/44.65 (define @t675 () (tptp.hAPP @t25 @t674)) % 44.44/44.65 (define @t676 () (@list @t671 @t672 @t674)) % 44.44/44.65 (define @t677 () (not @t236)) % 44.44/44.65 (define @t678 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t111 @t165)) % 44.44/44.65 (define @t679 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t111 @t165)) % 44.44/44.65 (define @t680 () (forall @t656 (= @t678 (or @t679 @t236)))) % 44.44/44.65 (define @t681 () (not (= @t255 @t90))) % 44.44/44.65 (define @t682 () (@list @t157 @t121 @t255)) % 44.44/44.65 (define @t683 () (tptp.hAPP @t25 @t255)) % 44.44/44.65 (define @t684 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t54)) % 44.44/44.65 (define @t685 () (@list @t181)) % 44.44/44.65 (define @t686 () (@list @t183 @t672 @t674)) % 44.44/44.65 (define @t687 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t111)) % 44.44/44.65 (define @t688 () (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t111 @t165) @t98)) % 44.44/44.65 (define @t689 () (tptp.class_Groups_Ogroup__add @t43)) % 44.44/44.65 (define @t690 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t38)) % 44.44/44.65 (define @t691 () (tptp.hAPP @t25 @t165)) % 44.44/44.65 (define @t692 () (tptp.hAPP @t691 @t238)) % 44.44/44.65 (define @t693 () (tptp.hAPP @t25 @t111)) % 44.44/44.65 (define @t694 () (tptp.hAPP @t693 @t238)) % 44.44/44.65 (define @t695 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t238)) % 44.44/44.65 (define @t696 () (@list @t165 @t111 @t238)) % 44.44/44.65 (define @t697 () (tptp.hAPP @t693 @t111)) % 44.44/44.65 (define @t698 () (tptp.hAPP @t58 @t38)) % 44.44/44.65 (define @t699 () (tptp.hAPP @t25 @t238)) % 44.44/44.65 (define @t700 () (tptp.hAPP @t25 @t102)) % 44.44/44.65 (define @t701 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t37 @t21)) % 44.44/44.65 (define @t702 () (tptp.hAPP @t46 @t75)) % 44.44/44.65 (define @t703 () (tptp.hAPP @t702 @t37)) % 44.44/44.65 (define @t704 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t75 @t21)) % 44.44/44.65 (define @t705 () (tptp.hAPP @t324 @t81)) % 44.44/44.65 (define @t706 () (tptp.hAPP @t705 @t75)) % 44.44/44.65 (define @t707 () (not @t636)) % 44.44/44.65 (define @t708 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t651)) % 44.44/44.65 (define @t709 () (tptp.hAPP @t708 @t7)) % 44.44/44.65 (define @t710 () (tptp.hAPP @t708 @t15)) % 44.44/44.65 (define @t711 () (tptp.hAPP @t33 @t15)) % 44.44/44.65 (define @t712 () (= @t165 @t98)) % 44.44/44.65 (define @t713 () (and @t112 @t712)) % 44.44/44.65 (define @t714 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t566 (tptp.hAPP (tptp.hAPP @t57 @t165) @t165))) % 44.44/44.65 (define @t715 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t38)) % 44.44/44.65 (define @t716 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t698 (tptp.hAPP @t245 @t54))) % 44.44/44.65 (define @t717 () (@var "V_x1" $$unsorted)) % 44.44/44.65 (define @t718 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t717)) % 44.44/44.65 (define @t719 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t25 @t717) @t54) (tptp.hAPP @t67 @t290))) % 44.44/44.65 (define @t720 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t717)) % 44.44/44.65 (define @t721 () (@list @t290 @t54 @t717 @t38)) % 44.44/44.65 (define @t722 () (@var "V_u_2" $$unsorted)) % 44.44/44.65 (define @t723 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t148 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t546 @t545)) @t722) @t186)) % 44.44/44.65 (define @t724 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t148 @t545) @t722) @t118)) % 44.44/44.65 (define @t725 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t148 @t546) @t722) @t186)) % 44.44/44.65 (define @t726 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t725 @t724)) % 44.44/44.65 (define @t727 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t545 @t546)) % 44.44/44.65 (define @t728 () (@list @t118 @t186 @t722 @t546 @t545)) % 44.44/44.65 (define @t729 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t148 @t558) @t722) @t118)) % 44.44/44.65 (define @t730 () (@list @t118 @t186 @t722 @t545 @t546)) % 44.44/44.65 (define @t731 () (= @t81 @t580)) % 44.44/44.65 (define @t732 () (tptp.c_Polynomial_OpCons @t43 @t72 @t81)) % 44.44/44.65 (define @t733 () (tptp.c_Polynomial_Osmult @t43 @t191 @t81)) % 44.44/44.65 (define @t734 () (tptp.class_Rings_Ocomm__semiring__0 @t43)) % 44.44/44.65 (define @t735 () (@list @t72 @t81 @t191 @t43)) % 44.44/44.65 (define @t736 () (tptp.hAPP @t623 @t290)) % 44.44/44.65 (define @t737 () (tptp.hAPP @t624 @t290)) % 44.44/44.65 (define @t738 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t725 @t724)) % 44.44/44.65 (define @t739 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t737 @t75) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t736 @t37))) % 44.44/44.65 (define @t740 () (= @t725 @t724)) % 44.44/44.65 (define @t741 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t96 (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)))) % 44.44/44.65 (define @t742 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t741)) % 44.44/44.65 (define @t743 () (@var "V_d2" $$unsorted)) % 44.44/44.65 (define @t744 () (@var "B_e" $$unsorted)) % 44.44/44.65 (define @t745 () (tptp.c_Polynomial_Opoly @t43 @t81)) % 44.44/44.65 (define @t746 () (tptp.hAPP @t745 @t38)) % 44.44/44.65 (define @t747 () (tptp.c_Groups_Otimes__class_Otimes @t579)) % 44.44/44.65 (define @t748 () (tptp.class_Groups_Oab__group__add @t43)) % 44.44/44.65 (define @t749 () (tptp.c_Polynomial_OpCons @t43 @t72 @t580)) % 44.44/44.65 (define @t750 () (tptp.hAPP @t747 @t81)) % 44.44/44.65 (define @t751 () (tptp.hAPP @t750 @t80)) % 44.44/44.65 (define @t752 () (tptp.c_Polynomial_OpCons @t43 @t98 @t751)) % 44.44/44.65 (define @t753 () (tptp.c_Polynomial_Osmult @t43 @t72 @t81)) % 44.44/44.65 (define @t754 () (@list @t80 @t72 @t81 @t43)) % 44.44/44.65 (define @t755 () (tptp.c_Polynomial_Osmult @t43 @t72 @t80)) % 44.44/44.65 (define @t756 () (@list @t80 @t81 @t72 @t43)) % 44.44/44.65 (define @t757 () (tptp.c_Groups_Oabs__class_Oabs @t579 @t38)) % 44.44/44.65 (define @t758 () (tptp.c_Orderings_Oord__class_Oless @t579 @t38 @t580)) % 44.44/44.65 (define @t759 () (@list @t80 @t43)) % 44.44/44.65 (define @t760 () (@list @t81 @t43)) % 44.44/44.65 (define @t761 () (@var "V_qa_2" $$unsorted)) % 44.44/44.65 (define @t762 () (= @t581 @t761)) % 44.44/44.65 (define @t763 () (tptp.c_Polynomial_Opoly @t43 @t581)) % 44.44/44.65 (define @t764 () (and (tptp.class_Int_Oring__char__0 @t43) @t539)) % 44.44/44.65 (define @t765 () (tptp.c_Polynomial_OpCons @t43 @t121 @t581)) % 44.44/44.65 (define @t766 () (tptp.c_Polynomial_Osmult @t43 @t72 @t751)) % 44.44/44.65 (define @t767 () (tptp.c_Groups_Ouminus__class_Ouminus @t579 @t753)) % 44.44/44.65 (define @t768 () (tptp.c_Groups_Ouminus__class_Ouminus @t579 @t81)) % 44.44/44.65 (define @t769 () (tptp.class_Rings_Ocomm__ring @t43)) % 44.44/44.65 (define @t770 () (@list @t81 @t72 @t43)) % 44.44/44.65 (define @t771 () (tptp.c_Groups_Ominus__class_Ominus @t579 @t81 @t80)) % 44.44/44.65 (define @t772 () (tptp.hAPP @t747 @t80)) % 44.44/44.65 (define @t773 () (tptp.c_Groups_Oplus__class_Oplus @t579 @t81 @t80)) % 44.44/44.65 (define @t774 () (tptp.c_Polynomial_Omonom @t43 @t121 @t118)) % 44.44/44.65 (define @t775 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t80) @t38)) % 44.44/44.65 (define @t776 () (@list @t38 @t80 @t81 @t43)) % 44.44/44.65 (define @t777 () (tptp.c_Groups_Oone__class_Oone @t579)) % 44.44/44.65 (define @t778 () (tptp.c_Power_Opower__class_Opower @t579)) % 44.44/44.65 (define @t779 () (tptp.c_Polynomial_OpCons @t43 @t135 @t80)) % 44.44/44.65 (define @t780 () (@list @t80 @t135 @t81 @t72 @t43)) % 44.44/44.65 (define @t781 () (tptp.c_Polynomial_Osmult @t43 @t135 @t81)) % 44.44/44.65 (define @t782 () (@list @t81 @t135 @t72 @t43)) % 44.44/44.65 (define @t783 () (tptp.tc_Polynomial_Opoly @t180)) % 44.44/44.65 (define @t784 () (tptp.c_Polynomial_Opoly @t43 @t580)) % 44.44/44.65 (define @t785 () (tptp.c_Polynomial_Omonom @t43 @t135 @t37)) % 44.44/44.65 (define @t786 () (tptp.c_Polynomial_Omonom @t43 @t72 @t37)) % 44.44/44.65 (define @t787 () (tptp.class_Groups_Ocomm__monoid__add @t43)) % 44.44/44.65 (define @t788 () (@list @t581 @t121 @t43)) % 44.44/44.65 (define @t789 () (tptp.c_Polynomial_OpCons @t43 @t86 @t580)) % 44.44/44.65 (define @t790 () (@list @t38 @t81 @t72 @t43)) % 44.44/44.65 (define @t791 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t524 @t526)) % 44.44/44.65 (define @t792 () (tptp.c_Groups_Oabs__class_Oabs @t43 @t317)) % 44.44/44.65 (define @t793 () (tptp.class_Groups_Oordered__ab__group__add__abs @t43)) % 44.44/44.65 (define @t794 () (= @t524 @t72)) % 44.44/44.65 (define @t795 () (= @t524 @t498)) % 44.44/44.65 (define @t796 () (=> @t420 @t795)) % 44.44/44.65 (define @t797 () (= @t135 @t191)) % 44.44/44.65 (define @t798 () (tptp.class_Groups_Ocancel__semigroup__add @t43)) % 44.44/44.65 (define @t799 () (=> (= @t227 @t225) @t797)) % 44.44/44.65 (define @t800 () (= @t157 @t255)) % 44.44/44.65 (define @t801 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t255 @t121)) % 44.44/44.65 (define @t802 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t121 @t255)) % 44.44/44.65 (define @t803 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t121 @t157)) % 44.44/44.65 (define @t804 () (= @t336 (tptp.c_Groups_Ominus__class_Ominus @t43 @t255 @t258))) % 44.44/44.65 (define @t805 () (tptp.class_Groups_Omonoid__add @t43)) % 44.44/44.65 (define @t806 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t121 @t121)) % 44.44/44.65 (define @t807 () (tptp.class_Groups_Olinordered__ab__group__add @t43)) % 44.44/44.65 (define @t808 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t191 @t135)) % 44.44/44.65 (define @t809 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t235 @t808)) % 44.44/44.65 (define @t810 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t43)) % 44.44/44.65 (define @t811 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t225 @t231)) % 44.44/44.65 (define @t812 () (tptp.class_Groups_Oordered__ab__semigroup__add @t43)) % 44.44/44.65 (define @t813 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t255 @t157)) % 44.44/44.65 (define @t814 () (tptp.c_Groups_Oplus__class_Oplus @t43 @t157 @t255)) % 44.44/44.65 (define @t815 () (tptp.c_Orderings_Oord__class_Oless @t43 @t235 @t808)) % 44.44/44.65 (define @t816 () (tptp.c_Orderings_Oord__class_Oless @t43 @t225 @t231)) % 44.44/44.65 (define @t817 () (tptp.c_Orderings_Oord__class_Oless @t43 @t225 @t224)) % 44.44/44.65 (define @t818 () (=> @t453 @t817)) % 44.44/44.65 (define @t819 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t43)) % 44.44/44.65 (define @t820 () (= @t336 @t98)) % 44.44/44.65 (define @t821 () (tptp.class_Groups_Oordered__ab__group__add @t43)) % 44.44/44.65 (define @t822 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t480 @t157)) % 44.44/44.65 (define @t823 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t227)) % 44.44/44.65 (define @t824 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t317)) % 44.44/44.65 (define @t825 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t524 @t135)) % 44.44/44.65 (define @t826 () (tptp.c_Groups_Oabs__class_Oabs @t43 @t322)) % 44.44/44.65 (define @t827 () (tptp.class_Groups_Oordered__comm__monoid__add @t43)) % 44.44/44.65 (define @t828 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t135 @t225)) % 44.44/44.65 (define @t829 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t135 @t191)) % 44.44/44.65 (define @t830 () (= (tptp.c_Orderings_Oord__class_Oless @t43 @t806 @t98) @t444)) % 44.44/44.65 (define @t831 () (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t227)) % 44.44/44.65 (define @t832 () (=> @t422 @t831)) % 44.44/44.65 (define @t833 () (tptp.c_Orderings_Oord__class_Oless @t43 @t227 @t98)) % 44.44/44.65 (define @t834 () (=> @t419 @t833)) % 44.44/44.65 (define @t835 () (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t498 @t72) @t98)) % 44.44/44.65 (define @t836 () (= @t317 (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 @t535))) % 44.44/44.65 (define @t837 () (tptp.c_Groups_Ominus__class_Ominus @t43 @t524 @t526)) % 44.44/44.65 (define @t838 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t498 @t135)) % 44.44/44.65 (define @t839 () (tptp.hAPP @t745 @t191)) % 44.44/44.65 (define @t840 () (tptp.c_Polynomial_Osynthetic__div @t43 @t81 @t191)) % 44.44/44.65 (define @t841 () (tptp.c_Polynomial_OpCons @t43 @t839 @t840)) % 44.44/44.65 (define @t842 () (@list @t111)) % 44.44/44.65 (define @t843 () (tptp.c_Polynomial_Opcompose @t43 @t81 @t80)) % 44.44/44.65 (define @t844 () (@var "B_K" $$unsorted)) % 44.44/44.65 (define @t845 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t43 (tptp.c_RealVector_Oof__real @t43 @t3)) (tptp.hAPP (tptp.hAPP @t25 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t3)) @t844)))) % 44.44/44.65 (define @t846 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t844)) % 44.44/44.65 (define @t847 () (@list @t844)) % 44.44/44.65 (define @t848 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 44.44/44.65 (define @t849 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 44.44/44.65 (define @t850 () (tptp.hAPP @t849 @t38)) % 44.44/44.65 (define @t851 () (tptp.hAPP @t850 @t54)) % 44.44/44.65 (define @t852 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 44.44/44.65 (define @t853 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 44.44/44.65 (define @t854 () (tptp.hAPP @t852 @t181)) % 44.44/44.65 (define @t855 () (tptp.hAPP @t852 @t483)) % 44.44/44.65 (define @t856 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t323 @t484)) % 44.44/44.65 (define @t857 () (tptp.hAPP @t852 @t672)) % 44.44/44.65 (define @t858 () (tptp.hAPP @t857 @t183)) % 44.44/44.65 (define @t859 () (tptp.hAPP @t852 @t674)) % 44.44/44.65 (define @t860 () (tptp.hAPP @t859 @t183)) % 44.44/44.65 (define @t861 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t674 @t672)) % 44.44/44.65 (define @t862 () (tptp.hAPP @t854 @t183)) % 44.44/44.65 (define @t863 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t181)) % 44.44/44.65 (define @t864 () (tptp.hAPP @t852 @t183)) % 44.44/44.65 (define @t865 () (tptp.hAPP @t864 @t672)) % 44.44/44.65 (define @t866 () (tptp.hAPP @t864 @t674)) % 44.44/44.65 (define @t867 () (@list @t672 @t674 @t183)) % 44.44/44.65 (define @t868 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t323)) % 44.44/44.65 (define @t869 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t323 @t848)) % 44.44/44.65 (define @t870 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t239 @t238)) % 44.44/44.65 (define @t871 () (@list @t238 @t239)) % 44.44/44.65 (define @t872 () (@list @t238)) % 44.44/44.65 (define @t873 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t183 @t181)) % 44.44/44.65 (define @t874 () (@var "V_z_H" $$unsorted)) % 44.44/44.65 (define @t875 () (@var "V_w_H" $$unsorted)) % 44.44/44.65 (define @t876 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t239 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t238 @t853))) % 44.44/44.65 (define @t877 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t853 @t181)) % 44.44/44.65 (define @t878 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t674 @t672)) % 44.44/44.65 (define @t879 () (tptp.hAPP @t9 tptp.c_Complex_Oii)) % 44.44/44.65 (define @t880 () (tptp.hAPP (tptp.hAPP @t852 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t38 @t181)) @t853)) @t188)) % 44.44/44.65 (define @t881 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t848 @t188)) % 44.44/44.65 (define @t882 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t183 @t181)) % 44.44/44.65 (define @t883 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t181 @t183)) % 44.44/44.65 (define @t884 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t323 @t484)) % 44.44/44.65 (define @t885 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t181 @t183)) % 44.44/44.65 (define @t886 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t183)) % 44.44/44.65 (define @t887 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t181 @t886)) % 44.44/44.65 (define @t888 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t181 @t183)) % 44.44/44.65 (define @t889 () (= @t72 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t189 (tptp.hAPP (tptp.hAPP @t852 @t72) @t80)))) % 44.44/44.65 (define @t890 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t848 @t72)) % 44.44/44.65 (define @t891 () (@list @t80 @t189 @t72)) % 44.44/44.65 (define @t892 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 @t189)) % 44.44/44.65 (define @t893 () (@var "V_q_H" $$unsorted)) % 44.44/44.65 (define @t894 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t848 @t270)) % 44.44/44.65 (define @t895 () (@var "V_r_H" $$unsorted)) % 44.44/44.65 (define @t896 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t270)) % 44.44/44.65 (define @t897 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t852 @t270) @t893) @t895)) % 44.44/44.65 (define @t898 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 @t897)) % 44.44/44.65 (define @t899 () (@list @t895 @t893 @t270)) % 44.44/44.65 (define @t900 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 @t895)) % 44.44/44.65 (define @t901 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t897 @t848)) % 44.44/44.65 (define @t902 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t893 @t80)) % 44.44/44.65 (define @t903 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t189 @t135)) % 44.44/44.65 (define @t904 () (tptp.hAPP @t852 @t135)) % 44.44/44.65 (define @t905 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t904 @t80) @t189)) % 44.44/44.65 (define @t906 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t904 @t893) @t895) @t905)) % 44.44/44.65 (define @t907 () (@list @t189 @t80 @t895 @t893 @t135)) % 44.44/44.65 (define @t908 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t80 @t893)) % 44.44/44.65 (define @t909 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t270 @t135)) % 44.44/44.65 (define @t910 () (= @t905 @t897)) % 44.44/44.65 (define @t911 () (@list @t895 @t893 @t270 @t189 @t80 @t135)) % 44.44/44.65 (define @t912 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 @t38)) % 44.44/44.65 (define @t913 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 @t54)) % 44.44/44.65 (define @t914 () (tptp.class_Orderings_Opreorder @t43)) % 44.44/44.65 (define @t915 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t54 @t38)) % 44.44/44.65 (define @t916 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t38 @t54)) % 44.44/44.65 (define @t917 () (tptp.class_Orderings_Olinorder @t43)) % 44.44/44.65 (define @t918 () (tptp.tc_fun @t43 @t180)) % 44.44/44.65 (define @t919 () (tptp.c_Orderings_Oord__class_Oless__eq @t918 @t2 @t1)) % 44.44/44.65 (define @t920 () (tptp.class_Orderings_Oord @t180)) % 44.44/44.65 (define @t921 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t181 @t54)) % 44.44/44.65 (define @t922 () (tptp.class_Orderings_Oorder @t43)) % 44.44/44.65 (define @t923 () (@list @t181 @t38 @t54 @t43)) % 44.44/44.65 (define @t924 () (@list @t38 @t54 @t43)) % 44.44/44.65 (define @t925 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t54 @t181)) % 44.44/44.65 (define @t926 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t191 @t72)) % 44.44/44.65 (define @t927 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t72 @t191)) % 44.44/44.65 (define @t928 () (tptp.class_Orderings_Oord @t43)) % 44.44/44.65 (define @t929 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t111 @t165)) % 44.44/44.65 (define @t930 () (= @t929 @t236)) % 44.44/44.65 (define @t931 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t165 @t111)) % 44.44/44.65 (define @t932 () (@list @t111 @t165 @t43)) % 44.44/44.65 (define @t933 () (@list @t1 @t2 @t43 @t180)) % 44.44/44.65 (define @t934 () (tptp.c_Orderings_Oord__class_Oless @t43 @t165 @t111)) % 44.44/44.65 (define @t935 () (tptp.c_Orderings_Oord__class_Oless @t43 @t111 @t165)) % 44.44/44.65 (define @t936 () (not @t935)) % 44.44/44.65 (define @t937 () (= @t936 @t236)) % 44.44/44.65 (define @t938 () (tptp.c_Orderings_Oord__class_Oless @t43 @t72 @t191)) % 44.44/44.65 (define @t939 () (tptp.c_Orderings_Oord__class_Oless @t43 @t191 @t72)) % 44.44/44.65 (define @t940 () (tptp.c_Orderings_Oord__class_Oless @t43 @t38 @t181)) % 44.44/44.65 (define @t941 () (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t54 @t181) @t940)) % 44.44/44.65 (define @t942 () (tptp.c_Orderings_Oord__class_Oless @t43 @t181 @t38)) % 44.44/44.65 (define @t943 () (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t181 @t54) @t942)) % 44.44/44.65 (define @t944 () (not @t192)) % 44.44/44.65 (define @t945 () (@var "B_a" $$unsorted)) % 44.44/44.65 (define @t946 () (tptp.c_RComplete_Onatceiling @t38)) % 44.44/44.65 (define @t947 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t41)) % 44.44/44.65 (define @t948 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t90)) % 44.44/44.65 (define @t949 () (tptp.c_RComplete_Onatceiling @t111)) % 44.44/44.65 (define @t950 () (@var "V_one_2" $$unsorted)) % 44.44/44.65 (define @t951 () (@var "V_times_2" $$unsorted)) % 44.44/44.65 (define @t952 () (@var "V_M_2" $$unsorted)) % 44.44/44.65 (define @t953 () (@var "V_X_2" $$unsorted)) % 44.44/44.65 (define @t954 () (tptp.hAPP @t953 @t952)) % 44.44/44.65 (define @t955 () (tptp.hAPP @t953 @t359)) % 44.44/44.65 (define @t956 () (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t952 @t359)) % 44.44/44.65 (define @t957 () (tptp.hAPP (tptp.hAPP @t25 (tptp.c_RealVector_Onorm__class_Onorm @t43 @t3)) @t844)) % 44.44/44.65 (define @t958 () (@var "B_b" $$unsorted)) % 44.44/44.65 (define @t959 () (tptp.c_RComplete_Onatfloor @t38)) % 44.44/44.65 (define @t960 () (tptp.c_RComplete_Onatfloor @t111)) % 44.44/44.65 (define @t961 () (tptp.c_RComplete_Onatfloor @t72)) % 44.44/44.65 (define @t962 () (tptp.c_Nat__Transfer_Otsub @t38 @t54)) % 44.44/44.65 (define @t963 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t54 @t38)) % 44.44/44.65 (define @t964 () (=> @t963 (= @t962 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t38 @t54)))) % 44.44/44.65 (define @t965 () (@list @t38 @t54)) % 44.44/44.65 (define @t966 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t596)) % 44.44/44.65 (define @t967 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t54)) % 44.44/44.65 (define @t968 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t596)) % 44.44/44.65 (define @t969 () (@list @t54 @t181 @t38)) % 44.44/44.65 (define @t970 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t37)) % 44.44/44.65 (define @t971 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t970 @t41)) % 44.44/44.65 (define @t972 () (@list @t38 @t37)) % 44.44/44.65 (define @t973 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t75)) % 44.44/44.65 (define @t974 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t186)) % 44.44/44.65 (define @t975 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t118)) % 44.44/44.65 (define @t976 () (tptp.hAPP (tptp.hAPP @t23 @t973) @t37)) % 44.44/44.65 (define @t977 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t324 @t75) @t37))) % 44.44/44.65 (define @t978 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t38)) % 44.44/44.65 (define @t979 () (tptp.c_Polynomial_Opos__poly @t43 @t80)) % 44.44/44.65 (define @t980 () (tptp.c_Polynomial_Opos__poly @t43 @t81)) % 44.44/44.65 (define @t981 () (@list @t80 @t81 @t43)) % 44.44/44.65 (define @t982 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t186)) % 44.44/44.65 (define @t983 () (tptp.c_Polynomial_Opos__poly @t43 (tptp.c_Groups_Ominus__class_Ominus @t579 @t165 @t111))) % 44.44/44.65 (define @t984 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t959)) % 44.44/44.65 (define @t985 () (@list @t72 @t38)) % 44.44/44.65 (define @t986 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t72)) % 44.44/44.65 (define @t987 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t121)) % 44.44/44.65 (define @t988 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90 @t111)) % 44.44/44.65 (define @t989 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t38 @t986)) % 44.44/44.65 (define @t990 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t986 @t38)) % 44.44/44.65 (define @t991 () (@list @t38 @t72)) % 44.44/44.65 (define @t992 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t986)) % 44.44/44.65 (define @t993 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t81)) % 44.44/44.65 (define @t994 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t309 @t181))) % 44.44/44.65 (define @t995 () (tptp.class_Lattices_Oboolean__algebra @t43)) % 44.44/44.65 (define @t996 () (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t165)) % 44.44/44.65 (define @t997 () (@var "V_B_2" $$unsorted)) % 44.44/44.65 (define @t998 () (@var "V_A_2" $$unsorted)) % 44.44/44.65 (define @t999 () (tptp.hAPP @t998 @t111)) % 44.44/44.65 (define @t1000 () (tptp.tc_fun @t180 @t43)) % 44.44/44.65 (define @t1001 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t43)) % 44.44/44.65 (define @t1002 () (tptp.c_Groups_Osgn__class_Osgn @t579 @t38)) % 44.44/44.65 (define @t1003 () (tptp.c_Orderings_Oord__class_Oless @t579 @t580 @t38)) % 44.44/44.65 (define @t1004 () (= @t38 @t580)) % 44.44/44.65 (define @t1005 () (tptp.c_Groups_Osgn__class_Osgn @t43 @t121)) % 44.44/44.65 (define @t1006 () (tptp.c_Groups_Oabs__class_Oabs @t43 @t483)) % 44.44/44.65 (define @t1007 () (tptp.c_Groups_Osgn__class_Osgn @t43 @t38)) % 44.44/44.65 (define @t1008 () (tptp.hAPP @t57 @t1007)) % 44.44/44.65 (define @t1009 () (tptp.c_Groups_Osgn__class_Osgn @t43 @t72)) % 44.44/44.65 (define @t1010 () (= (tptp.c_Groups_Osgn__class_Osgn @t43 @t98) @t98)) % 44.44/44.65 (define @t1011 () (tptp.class_Groups_Osgn__if @t43)) % 44.44/44.65 (define @t1012 () (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t38)) % 44.44/44.65 (define @t1013 () (not @t302)) % 44.44/44.65 (define @t1014 () (tptp.c_RealVector_Onorm__class_Onorm @t43 @t1007)) % 44.44/44.65 (define @t1015 () (@var "V_h" $$unsorted)) % 44.44/44.65 (define @t1016 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t43 @t81 @t1015)) % 44.44/44.65 (define @t1017 () (tptp.c_Rings_Odvd__class_Odvd @t43 @t111 @t165)) % 44.44/44.65 (define @t1018 () (tptp.c_Rings_Odvd__class_Odvd @t43 @t38 @t54)) % 44.44/44.65 (define @t1019 () (@var "V_ta_2" $$unsorted)) % 44.44/44.65 (define @t1020 () (@var "V_D_2" $$unsorted)) % 44.44/44.65 (define @t1021 () (tptp.class_Rings_Odvd @t43)) % 44.44/44.65 (define @t1022 () (tptp.c_Rings_Odvd__class_Odvd @t43 @t72 @t191)) % 44.44/44.65 (define @t1023 () (tptp.c_Rings_Odvd__class_Odvd @t43 @t72 @t135)) % 44.44/44.65 (define @t1024 () (@var "V_h_2" $$unsorted)) % 44.44/44.65 (define @t1025 () (tptp.c_Rings_Odvd__class_Odvd @t579 @t81 @t80)) % 44.44/44.65 (define @t1026 () (tptp.c_Rings_Odvd__class_Odvd @t43 @t186 @t360)) % 44.44/44.65 (define @t1027 () (@list @t360 @t186 @t43)) % 44.44/44.65 (define @t1028 () (@var "T_1" $$unsorted)) % 44.44/44.65 (define @t1029 () (tptp.tc_Polynomial_Opoly @t1028)) % 44.44/44.65 (define @t1030 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1028)) % 44.44/44.65 (define @t1031 () (@list @t1028)) % 44.44/44.65 (define @t1032 () (@var "T_2" $$unsorted)) % 44.44/44.65 (define @t1033 () (tptp.tc_fun @t1032 @t1028)) % 44.44/44.65 (define @t1034 () (@list @t1032 @t1028)) % 44.44/44.65 (define @t1035 () (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 44.44/44.65 (define @t1036 () (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 44.44/44.65 (define @t1037 () (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 44.44/44.65 (define @t1038 () (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 44.44/44.65 (define @t1039 () (tptp.class_Rings_Oidom @t1028)) % 44.44/44.65 (define @t1040 () (tptp.class_Rings_Olinordered__idom @t1028)) % 44.44/44.65 (define @t1041 () (tptp.class_Rings_Ocomm__semiring__0 @t1028)) % 44.44/44.65 (define @t1042 () (tptp.class_Rings_Ocomm__semiring__1 @t1028)) % 44.44/44.65 (define @t1043 () (tptp.class_Groups_Ocomm__monoid__add @t1028)) % 44.44/44.65 (define @t1044 () (tptp.class_Groups_Oab__group__add @t1028)) % 44.44/44.65 (define @t1045 () (tptp.class_Rings_Ocomm__ring__1 @t1028)) % 44.44/44.65 (define @t1046 () (tptp.class_Rings_Ocomm__ring @t1028)) % 44.44/44.65 (define @t1047 () (not @t395)) % 44.44/44.65 (define @t1048 () (not @t197)) % 44.44/44.65 (define @t1049 () (not @t398)) % 44.44/44.65 (define @t1050 () (or @t1048 @t1047 @t394)) % 44.44/44.65 (define @t1051 () (tptp.hAPP (tptp.hAPP @t25 @t13) @t24)) % 44.44/44.65 (define @t1052 () (tptp.hAPP (tptp.hAPP @t25 tptp.v_m____) @t24)) % 44.44/44.65 (define @t1053 () (not @t139)) % 44.44/44.65 (define @t1054 () (not @t88)) % 44.44/44.65 (define @t1055 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90 @t17)) % 44.44/44.65 (define @t1056 () (not @t1038)) % 44.44/44.65 (define @t1057 () (or @t1056 @t1055)) % 44.44/44.65 (define @t1058 () (@list false false)) % 44.44/44.65 (define @t1059 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90 @t24)) % 44.44/44.65 (define @t1060 () (not @t1055)) % 44.44/44.65 (define @t1061 () (not @t1036)) % 44.44/44.65 (define @t1062 () (or @t1061 @t1060 @t1059)) % 44.44/44.65 (define @t1063 () (@list false false false)) % 44.44/44.65 (define @t1064 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1051 @t1052)) % 44.44/44.65 (define @t1065 () (not @t1059)) % 44.44/44.65 (define @t1066 () (not @t14)) % 44.44/44.65 (define @t1067 () (not @t1037)) % 44.44/44.65 (define @t1068 () (or @t1067 @t1066 @t1065 @t1064)) % 44.44/44.65 (define @t1069 () (@list false false false false)) % 44.44/44.65 (define @t1070 () (or @t91 (= @t90 tptp.v_t____))) % 44.44/44.65 (define @t1071 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90 tptp.v_t____)) % 44.44/44.65 (define @t1072 () (= @t1071 @t1070)) % 44.44/44.65 (define @t1073 () (or @t91 (= tptp.v_t____ @t90))) % 44.44/44.65 (define @t1074 () (= @t1071 @t1073)) % 44.44/44.65 (define @t1075 () (@list false)) % 44.44/44.65 (define @t1076 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t25 @t1051) tptp.v_t____) (tptp.hAPP (tptp.hAPP @t25 @t1052) tptp.v_t____))) % 44.44/44.65 (define @t1077 () (not @t1071)) % 44.44/44.65 (define @t1078 () (not @t1064)) % 44.44/44.65 (define @t1079 () (or @t1067 @t1078 @t1077 @t1076)) % 44.44/44.65 (define @t1080 () (tptp.hAPP @t25 @t52)) % 44.44/44.65 (define @t1081 () (tptp.hAPP @t25 @t27)) % 44.44/44.65 (define @t1082 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t29 @t92)) % 44.44/44.65 (define @t1083 () (not @t433)) % 44.44/44.65 (define @t1084 () (not @t388)) % 44.44/44.65 (define @t1085 () (or @t1084 @t1083 @t448)) % 44.44/44.65 (define @t1086 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t32 @t93)) % 44.44/44.65 (define @t1087 () (not @t296)) % 44.44/44.65 (define @t1088 () (not @t1035)) % 44.44/44.65 (define @t1089 () (or @t1088 @t1087 (= @t1086 @t1082))) % 44.44/44.65 (define @t1090 () (forall @t429 @t1085)) % 44.44/44.65 (define @t1091 () (= @t1082 @t1086)) % 44.44/44.65 (define @t1092 () (or @t1088 @t1087 @t1091)) % 44.44/44.65 (define @t1093 () (not @t1082)) % 44.44/44.65 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 44.44/44.65 (assume @p2 (not (= tptp.v_w____ @t7))) % 44.44/44.65 (assume @p3 (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)))) % 44.44/44.65 (assume @p4 @t14) % 44.44/44.65 (assume @p5 (forall @t19 (=> @t18 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 tptp.v_m____)))) % 44.44/44.65 (assume @p6 (not (= tptp.v_k____ @t20))) % 44.44/44.65 (assume @p7 (= @t36 @t32)) % 44.44/44.65 (assume @p8 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t10) @t17)) % 44.44/44.65 (assume @p9 (forall @t40 (= (tptp.hAPP (tptp.hAPP @t33 (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t38)) @t37) (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t39)))) % 44.44/44.65 (assume @p10 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t28 @t17) (tptp.hAPP @t42 @t17))) % 44.44/44.65 (assume @p11 (forall @t51 (=> @t50 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t49 @t45)))) % 44.44/44.65 (assume @p12 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_t____ @t53)) % 44.44/44.65 (assume @p13 (forall @t62 (=> @t61 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t60 @t56)))) % 44.44/44.65 (assume @p14 (forall @t51 (=> @t64 (= (tptp.c_RealVector_Oof__real @t43 @t39) (tptp.hAPP (tptp.hAPP @t46 @t63) @t37))))) % 44.44/44.65 (assume @p15 (forall @t51 (=> @t65 (= @t49 @t45)))) % 44.44/44.65 (assume @p16 (forall @t62 (=> @t64 (= (tptp.c_RealVector_Oof__real @t43 @t68) (tptp.hAPP (tptp.hAPP @t57 @t63) @t66))))) % 44.44/44.65 (assume @p17 (forall @t62 (=> @t65 (= @t60 @t56)))) % 44.44/44.65 (assume @p18 (forall @t62 (=> @t71 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t70 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t44 @t55))))) % 44.44/44.65 (assume @p19 (forall @t79 (=> @t78 (= (tptp.hAPP @t73 @t77) (tptp.hAPP (tptp.hAPP @t57 @t76) @t74))))) % 44.44/44.65 (assume @p20 (forall @t85 (=> @t84 (= (tptp.hAPP (tptp.hAPP @t57 @t83) @t82) (tptp.hAPP @t47 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t81 @t80)))))) % 44.44/44.65 (assume @p21 (forall @t89 (=> @t88 (=> @t87 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t86 @t74))))) % 44.44/44.65 (assume @p22 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_t____ @t41)) % 44.44/44.65 (assume @p23 @t91) % 44.44/44.65 (assume @p24 (not (= tptp.v_a____ @t7))) % 44.44/44.65 (assume @p25 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 tptp.v_m____)) % 44.44/44.65 (assume @p26 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t93 (tptp.hAPP @t31 @t41))) % 44.44/44.65 (assume @p27 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t92 @t41)) % 44.44/44.65 (assume @p28 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t94))) % 44.44/44.65 (assume @p29 (= @t97 @t7)) % 44.44/44.65 (assume @p30 (forall @t100 (=> @t64 @t99))) % 44.44/44.65 (assume @p31 (forall @t100 (=> @t101 @t99))) % 44.44/44.65 (assume @p32 (forall @t100 (=> @t71 (= (tptp.c_RealVector_Onorm__class_Onorm @t43 @t98) @t90)))) % 44.44/44.65 (assume @p33 (forall @t106 (=> (and @t105 @t104) @t103))) % 44.44/44.65 (assume @p34 (forall @t110 (=> (and @t65 @t104) @t109))) % 44.44/44.65 (assume @p35 (forall @t115 (=> @t71 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t114) @t113)))) % 44.44/44.65 (assume @p36 (forall @t115 (=> @t64 (= (= @t117 @t98) @t116)))) % 44.44/44.65 (assume @p37 (forall @t115 (=> @t71 (= (= @t114 @t90) @t112)))) % 44.44/44.65 (assume @p38 (forall @t129 (=> (and @t128 @t127 @t126 @t125) (= (= @t124 @t98) (and @t122 @t120))))) % 44.44/44.65 (assume @p39 (forall @t110 (=> @t65 (=> @t131 @t109)))) % 44.44/44.65 (assume @p40 (forall @t89 (=> @t133 (=> @t131 @t132)))) % 44.44/44.65 (assume @p41 (forall @t89 (=> @t88 (=> @t134 (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t74))))) % 44.44/44.65 (assume @p42 (forall @t141 (=> @t88 (=> @t140 (=> @t139 (=> @t138 @t137)))))) % 44.44/44.65 (assume @p43 (forall @t146 (=> @t88 (=> @t145 (=> @t134 (=> @t144 (tptp.c_Orderings_Oord__class_Oless @t43 @t143 @t74))))))) % 44.44/44.65 (assume @p44 (forall @t89 (=> @t88 (=> @t147 (=> @t138 (tptp.c_Orderings_Oord__class_Oless @t43 @t86 @t74)))))) % 44.44/44.65 (assume @p45 (forall @t89 (=> @t104 @t132))) % 44.44/44.65 (assume @p46 (forall @t85 (=> @t84 (= (tptp.hAPP (tptp.hAPP @t46 @t83) @t80) (tptp.hAPP @t47 (tptp.hAPP @t149 @t80)))))) % 44.44/44.65 (assume @p47 (forall @t79 (=> @t78 (= (tptp.hAPP @t73 @t151) (tptp.hAPP (tptp.hAPP @t46 @t76) @t37))))) % 44.44/44.65 (assume @p48 (forall @t106 (=> @t61 (= (tptp.hAPP @t58 @t98) @t98)))) % 44.44/44.65 (assume @p49 (forall @t110 (=> @t61 @t153))) % 44.44/44.65 (assume @p50 (forall @t110 (=> @t84 @t153))) % 44.44/44.65 (assume @p51 (forall @t155 (=> @t61 (= (tptp.hAPP @t154 @t54) @t98)))) % 44.44/44.65 (assume @p52 (forall (@list @t135 @t43) (=> @t61 (= (tptp.hAPP @t154 @t135) @t98)))) % 44.44/44.65 (assume @p53 (forall @t110 (=> @t84 @t156))) % 44.44/44.65 (assume @p54 (forall @t160 (=> @t159 (= (= @t157 @t158) @t122)))) % 44.44/44.65 (assume @p55 (forall @t110 (=> @t84 @t161))) % 44.44/44.65 (assume @p56 (forall @t110 (=> @t84 @t162))) % 44.44/44.65 (assume @p57 (forall @t89 (=> @t163 (=> @t131 (not (= @t74 @t98)))))) % 44.44/44.65 (assume @p58 (forall @t146 (=> @t88 (=> @t145 (=> @t147 (tptp.c_Orderings_Oord__class_Oless @t43 @t74 @t143)))))) % 44.44/44.65 (assume @p59 (forall @t79 (=> @t88 (=> @t147 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t76 @t74) @t164))))) % 44.44/44.65 (assume @p60 (forall @t170 (=> @t88 (=> @t169 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t168 @t167) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t111 @t165)))))) % 44.44/44.65 (assume @p61 (forall @t172 (=> @t88 (=> @t137 (=> @t171 @t140))))) % 44.44/44.65 (assume @p62 (forall @t177 (=> (and @t128 @t176) (and (=> @t174 (= @t173 @t86)) (=> @t175 (= @t173 @t98)))))) % 44.44/44.65 (assume @p63 (forall @t115 (=> @t71 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t114 @t90) @t112)))) % 44.44/44.65 (assume @p64 (forall (@list @t2 @t180 @t43) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t43 @t180 @t2) (forall @t179 (= @t5 (tptp.hAPP @t2 @t178)))))) % 44.44/44.65 (assume @p65 (forall @t184 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t183) (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 @t183 @t181)) @t182)))) % 44.44/44.65 (assume @p66 (forall @t89 (=> @t88 (=> @t134 (=> @t144 (tptp.c_Orderings_Oord__class_Oless @t43 @t185 @t74)))))) % 44.44/44.65 (assume @p67 (forall (@list @t118 @t186 @t121 @t43) (=> @t88 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t86 @t121) (= (= (tptp.hAPP @t123 @t186) @t124) @t187))))) % 44.44/44.65 (assume @p68 (forall (@list @t188 @t191 @t135 @t72 @t189 @t43) (=> @t159 (=> (not (= @t189 @t98)) (=> (and @t192 (not (= @t191 @t188))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 (tptp.hAPP @t190 @t191)) (tptp.c_Groups_Oplus__class_Oplus @t43 @t135 (tptp.hAPP @t190 @t188))))))))) % 44.44/44.65 (assume @p69 (forall @t196 (=> @t71 (=> @t195 (=> @t194 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t70 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t189 @t193))))))) % 44.44/44.65 (assume @p70 (forall @t141 (=> @t88 (=> @t197 (=> @t139 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t74 @t136)))))) % 44.44/44.65 (assume @p71 @t200) % 44.44/44.65 (assume @p72 (forall @t106 (=> @t84 (= (tptp.hAPP @t47 @t20) @t86)))) % 44.44/44.65 (assume @p73 (forall @t110 (=> @t128 (= (tptp.hAPP @t73 @t20) @t86)))) % 44.44/44.65 (assume @p74 (forall @t79 (=> @t88 (=> @t147 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t76 @t74) @t201))))) % 44.44/44.65 (assume @p75 (forall @t170 (=> @t88 (=> @t169 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t168 @t167) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t111 @t165)))))) % 44.44/44.65 (assume @p76 (forall @t89 (=> @t88 (=> @t147 (tptp.c_Orderings_Oord__class_Oless @t43 @t74 @t185))))) % 44.44/44.65 (assume @p77 (forall @t89 (=> @t88 (=> @t147 (tptp.c_Orderings_Oord__class_Oless @t43 @t86 @t185))))) % 44.44/44.65 (assume @p78 (forall @t196 (=> @t61 (=> @t195 (=> @t194 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t60 (tptp.hAPP (tptp.hAPP @t25 @t189) @t193))))))) % 44.44/44.65 (assume @p79 (forall @t146 (=> @t88 (=> @t203 (=> @t139 (=> @t202 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t143 @t74))))))) % 44.44/44.65 (assume @p80 (forall @t215 (=> @t84 (= @t214 (tptp.hAPP @t210 (tptp.hAPP @t206 @t204)))))) % 44.44/44.65 (assume @p81 (forall @t215 (=> @t84 (= @t214 (tptp.hAPP @t211 (tptp.hAPP @t213 @t204)))))) % 44.44/44.65 (assume @p82 (forall @t215 (=> @t84 (= @t214 (tptp.hAPP @t209 (tptp.hAPP @t206 @t212)))))) % 44.44/44.65 (assume @p83 (forall @t217 (=> @t84 (= @t216 (tptp.hAPP @t210 @t205))))) % 44.44/44.65 (assume @p84 (forall @t217 (=> @t84 (= @t216 (tptp.hAPP @t209 (tptp.hAPP @t206 @t207)))))) % 44.44/44.65 (assume @p85 (forall @t219 (=> @t84 (= @t218 (tptp.hAPP @t210 @t204))))) % 44.44/44.65 (assume @p86 (forall @t219 (=> @t84 (= @t218 (tptp.hAPP @t211 (tptp.hAPP @t209 @t204)))))) % 44.44/44.65 (assume @p87 (forall @t223 (=> @t84 (= @t222 @t221)))) % 44.44/44.65 (assume @p88 (forall @t228 (=> @t84 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t227 @t226) (tptp.c_Groups_Oplus__class_Oplus @t43 @t225 @t224))))) % 44.44/44.65 (assume @p89 (forall @t230 (=> @t84 (= @t229 (tptp.c_Groups_Oplus__class_Oplus @t43 @t225 @t135))))) % 44.44/44.65 (assume @p90 (forall @t230 (=> @t84 @t232))) % 44.44/44.65 (assume @p91 (forall @t234 (=> @t84 (= @t233 (tptp.c_Groups_Oplus__class_Oplus @t43 @t225 @t188))))) % 44.44/44.65 (assume @p92 (forall @t234 (=> @t84 (= @t233 (tptp.c_Groups_Oplus__class_Oplus @t43 @t191 (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 @t188)))))) % 44.44/44.65 (assume @p93 (forall (@list @t191 @t72 @t43) (=> @t84 (= @t225 @t235)))) % 44.44/44.65 (assume @p94 (forall @t237 (=> @t64 (= (= @t117 (tptp.c_RealVector_Oof__real @t43 @t165)) @t236)))) % 44.44/44.65 (assume @p95 (forall (@list @t238 @t111 @t165 @t239 @t43) (=> @t159 (= (= (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t241 @t165) (tptp.hAPP @t240 @t238)) (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t241 @t238) (tptp.hAPP @t240 @t165))) (or (= @t239 @t111) (= @t165 @t238)))))) % 44.44/44.65 (assume @p96 (forall (@list @t135 @t75 @t72 @t43) (=> @t84 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t243 (tptp.hAPP @t220 @t75)) (tptp.hAPP @t242 @t75))))) % 44.44/44.65 (assume @p97 (forall @t248 (=> @t61 (= (tptp.hAPP (tptp.hAPP @t57 @t69) @t244) (tptp.c_Groups_Oplus__class_Oplus @t43 @t247 @t246))))) % 44.44/44.65 (assume @p98 (forall @t251 (=> @t61 (= (tptp.hAPP (tptp.hAPP @t57 (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 @t249)) @t135) (tptp.c_Groups_Oplus__class_Oplus @t43 @t222 @t250))))) % 44.44/44.65 (assume @p99 (forall @t230 (=> @t84 @t254))) % 44.44/44.65 (assume @p100 (forall @t263 (=> @t159 (= (and (not @t262) (not @t261)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t260 (tptp.hAPP @t256 @t258)) (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t259 @t258) @t257))))))) % 44.44/44.65 (assume @p101 (forall @t268 (=> @t61 (= (tptp.hAPP @t265 @t69) (tptp.c_Groups_Oplus__class_Oplus @t43 @t267 @t266))))) % 44.44/44.65 (assume @p102 (forall @t269 (=> @t84 (= (tptp.hAPP @t58 (tptp.c_Groups_Oplus__class_Oplus @t43 @t54 @t181)) (tptp.c_Groups_Oplus__class_Oplus @t43 @t59 (tptp.hAPP @t58 @t181)))))) % 44.44/44.65 (assume @p103 (forall @t272 (=> @t61 (= (tptp.hAPP @t152 (tptp.c_Groups_Oplus__class_Oplus @t43 @t135 @t270)) (tptp.c_Groups_Oplus__class_Oplus @t43 @t222 @t271))))) % 44.44/44.65 (assume @p104 (forall @t110 (=> @t84 @t273))) % 44.44/44.65 (assume @p105 (forall @t110 (=> @t84 @t274))) % 44.44/44.65 (assume @p106 (forall (@list @t80 @t54 @t38 @t43) (=> @t84 (= (tptp.hAPP (tptp.hAPP @t46 @t59) @t80) (tptp.hAPP (tptp.hAPP @t57 @t82) (tptp.hAPP @t275 @t80)))))) % 44.44/44.65 (assume @p107 (forall @t141 (=> @t277 (= (tptp.hAPP (tptp.hAPP @t46 @t222) @t37) (tptp.hAPP @t276 @t136))))) % 44.44/44.65 (assume @p108 (forall @t89 (=> @t78 (= (tptp.hAPP @t276 @t72) @t185)))) % 44.44/44.65 (assume @p109 (forall @t177 (=> @t78 (= (tptp.hAPP (tptp.hAPP @t46 @t86) @t37) @t86)))) % 44.44/44.65 (assume @p110 (forall @t100 (=> @t50 (= (tptp.c_RealVector_Onorm__class_Onorm @t43 @t86) @t41)))) % 44.44/44.65 (assume @p111 (forall @t62 (=> @t101 @t279))) % 44.44/44.65 (assume @p112 (forall @t62 (=> @t64 @t279))) % 44.44/44.65 (assume @p113 (forall @t106 (=> @t84 (= (tptp.hAPP @t47 @t21) @t38)))) % 44.44/44.65 (assume @p114 (forall @t110 (=> @t78 (= (tptp.hAPP @t73 @t21) @t72)))) % 44.44/44.65 (assume @p115 (forall @t100 (=> @t64 (= (tptp.c_RealVector_Oof__real @t43 @t41) @t86)))) % 44.44/44.65 (assume @p116 (forall (@list @t75 @t72 @t43) (=> @t84 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t243 @t75) @t281)))) % 44.44/44.65 (assume @p117 (forall (@list @t72 @t75 @t43) (=> @t84 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t75 @t243) @t281)))) % 44.44/44.65 (assume @p118 (forall (@list @t75 @t43) (=> @t84 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t75 @t75) (tptp.hAPP (tptp.hAPP @t57 @t282) @t75))))) % 44.44/44.65 (assume @p119 (forall @t146 (=> @t88 (=> @t203 (=> @t87 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t74 @t143)))))) % 44.44/44.65 (assume @p120 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t53)) % 44.44/44.65 (assume @p121 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t286 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t284) @t36))) % 44.44/44.65 (assume @p122 (= @t288 @t287)) % 44.44/44.65 (assume @p123 (forall @t295 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t43) (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t38 @t72) (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t54 @t72) (=> @t294 (=> @t293 (=> @t292 (tptp.c_Orderings_Oord__class_Oless @t43 @t291 @t72))))))))) % 44.44/44.65 (assume @p124 @t296) % 44.44/44.65 (assume @p125 (forall @t110 (=> @t297 (=> @t134 (=> @t202 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t86 @t108)))))) % 44.44/44.65 (assume @p126 (forall @t115 (=> @t300 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t299 @t86) (or @t298 (tptp.c_Orderings_Oord__class_Oless @t43 @t86 @t111)))))) % 44.44/44.65 (assume @p127 (forall @t115 (=> @t300 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t86 @t299) (and @t301 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t111 @t86)))))) % 44.44/44.65 (assume @p128 (forall @t295 (=> (tptp.class_Rings_Olinordered__semiring__1 @t43) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t38 @t72) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t54 @t72) (=> @t294 (=> @t293 (=> @t292 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t291 @t72))))))))) % 44.44/44.65 (assume @p129 (forall (@list @t54 @t38 @t191 @t43) (=> @t71 (=> @t304 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t44 (tptp.hAPP @t303 @t55)) @t302))))) % 44.44/44.65 (assume @p130 (forall @t110 (=> @t133 @t306))) % 44.44/44.65 (assume @p131 (not @t308)) % 44.44/44.65 (assume @p132 (forall @t311 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t307) @t310))) % 44.44/44.65 (assume @p133 (not @t313)) % 44.44/44.65 (assume @p134 (= @t288 @t285)) % 44.44/44.65 (assume @p135 (= @t287 @t285)) % 44.44/44.65 (assume @p136 (= @t314 @t286)) % 44.44/44.65 (assume @p137 (forall @t62 (=> @t101 @t316))) % 44.44/44.65 (assume @p138 (forall @t62 (=> @t64 @t316))) % 44.44/44.65 (assume @p139 (forall @t223 (=> @t71 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t320 @t318)))) % 44.44/44.65 (assume @p140 (forall @t272 (=> @t61 (= (tptp.hAPP @t152 (tptp.c_Groups_Ominus__class_Ominus @t43 @t135 @t270)) (tptp.c_Groups_Ominus__class_Ominus @t43 @t222 @t271))))) % 44.44/44.65 (assume @p141 (forall @t268 (=> @t61 (= (tptp.hAPP @t265 @t321) (tptp.c_Groups_Ominus__class_Ominus @t43 @t267 @t266))))) % 44.44/44.65 (assume @p142 (forall @t251 (=> @t61 (= (tptp.hAPP (tptp.hAPP @t57 (tptp.c_Groups_Ominus__class_Ominus @t43 @t72 @t249)) @t135) (tptp.c_Groups_Ominus__class_Ominus @t43 @t222 @t250))))) % 44.44/44.65 (assume @p143 (forall @t248 (=> @t61 (= (tptp.hAPP (tptp.hAPP @t57 @t321) @t244) (tptp.c_Groups_Ominus__class_Ominus @t43 @t247 @t246))))) % 44.44/44.65 (assume @p144 (forall @t223 (=> @t71 (= @t318 (tptp.c_RealVector_Onorm__class_Onorm @t43 @t322))))) % 44.44/44.65 (assume @p145 (forall (@list @t37 @t75 @t323) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 @t323) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t325 @t75) (tptp.hAPP @t325 @t37)) @t164)))) % 44.44/44.65 (assume @p146 (forall @t328 (= @t327 (or @t326 @t119)))) % 44.44/44.65 (assume @p147 (forall @t335 (=> @t334 (= @t333 (= @t255 @t330))))) % 44.44/44.65 (assume @p148 (forall @t335 (=> @t334 (= @t333 (= @t337 @t258))))) % 44.44/44.65 (assume @p149 (forall @t335 (=> @t339 (= @t338 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t255 @t330))))) % 44.44/44.65 (assume @p150 (forall @t335 (=> @t339 (= @t338 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t337 @t258))))) % 44.44/44.65 (assume @p151 (forall @t335 (=> @t339 (= @t340 (tptp.c_Orderings_Oord__class_Oless @t43 @t255 @t330))))) % 44.44/44.65 (assume @p152 (forall @t335 (=> @t339 (= @t340 (tptp.c_Orderings_Oord__class_Oless @t43 @t337 @t258))))) % 44.44/44.65 (assume @p153 (forall @t345 (=> @t61 (= @t344 (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t342 @t341) @t343) (tptp.hAPP @t152 @t341)))))) % 44.44/44.65 (assume @p154 (forall @t223 (=> @t133 (=> @t131 (=> @t349 (= @t347 (tptp.hAPP (tptp.hAPP @t57 (tptp.hAPP @t305 @t322)) @t346))))))) % 44.44/44.65 (assume @p155 @t351) % 44.44/44.65 (assume @p156 (forall @t106 (=> @t71 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t44 @t90))))) % 44.44/44.65 (assume @p157 (forall @t223 (=> @t71 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t320 (tptp.c_RealVector_Onorm__class_Onorm @t43 @t227))))) % 44.44/44.65 (assume @p158 (forall @t223 (=> @t71 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t318 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t107 @t319))))) % 44.44/44.65 (assume @p159 (forall @t62 (=> @t358 @t357))) % 44.44/44.65 (assume @p160 (forall @t363 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t360 @t361) (exists @t362 (= @t361 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t360 @t359)))))) % 44.44/44.65 (assume @p161 (forall @t223 (=> @t104 (=> @t364 @t192)))) % 44.44/44.65 (assume @p162 (forall @t366 (=> @t104 (= (= @t365 (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t157)) @t262)))) % 44.44/44.65 (assume @p163 (forall @t110 (=> @t104 @t367))) % 44.44/44.65 (assume @p164 (forall @t106 (=> @t105 (=> @t369 @t103)))) % 44.44/44.65 (assume @p165 (forall @t228 (=> @t71 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t43 @t372) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t43 @t371) (tptp.c_RealVector_Onorm__class_Onorm @t43 @t370)))))) % 44.44/44.65 (assume @p166 (forall @t172 (=> @t88 (=> (= @t74 @t136) (=> @t139 (=> @t171 (=> @t138 @t192))))))) % 44.44/44.65 (assume @p167 (forall @t110 (=> @t127 @t156))) % 44.44/44.65 (assume @p168 (forall @t110 (=> @t127 @t153))) % 44.44/44.65 (assume @p169 (forall @t366 (=> (tptp.class_Rings_Oring__no__zero__divisors @t43) (= (= @t373 @t98) (or @t122 (= @t157 @t98)))))) % 44.44/44.65 (assume @p170 (forall @t223 (=> @t126 (=> @t131 (=> @t349 (not @t374)))))) % 44.44/44.65 (assume @p171 (forall @t223 (=> @t126 (=> @t374 (or @t130 @t348))))) % 44.44/44.65 (assume @p172 (forall @t100 (=> @t125 (not (= @t86 @t98))))) % 44.44/44.65 (assume @p173 (forall @t100 (=> @t125 (not (= @t98 @t86))))) % 44.44/44.65 (assume @p174 (forall @t230 (=> (tptp.class_Rings_Ocomm__semiring @t43) @t254))) % 44.44/44.65 (assume @p175 (forall (@list @t191 @t135 @t375 @t72 @t43) (=> (tptp.class_Rings_Osemiring @t43) (= (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t152 @t375) (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t220 @t375) @t191)) (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t242 @t375) @t191))))) % 44.44/44.65 (assume @p176 (forall @t223 (=> @t133 (=> @t364 (=> @t131 (=> @t349 @t192)))))) % 44.44/44.65 (assume @p177 (forall @t110 (=> @t133 (=> @t376 @t130)))) % 44.44/44.65 (assume @p178 (forall @t110 (=> @t133 (=> @t131 @t367)))) % 44.44/44.65 (assume @p179 (forall @t110 (=> @t133 (=> @t131 (not @t376))))) % 44.44/44.65 (assume @p180 (forall @t377 (=> @t104 (= (= @t365 @t98) @t122)))) % 44.44/44.65 (assume @p181 (forall @t100 (=> @t104 @t378))) % 44.44/44.65 (assume @p182 (forall @t100 (=> @t379 @t378))) % 44.44/44.65 (assume @p183 (forall @t223 (=> @t379 (= @t380 (tptp.hAPP @t305 @t346))))) % 44.44/44.65 (assume @p184 (forall @t100 (=> @t133 (= (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t86) @t86)))) % 44.44/44.65 (assume @p185 (forall @t115 (=> @t379 (= (= @t299 @t86) @t381)))) % 44.44/44.65 (assume @p186 (forall @t110 (=> @t383 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t382)))) % 44.44/44.65 (assume @p187 (forall @t366 (=> @t388 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t373) (or (and @t387 @t386) (and @t385 @t384)))))) % 44.44/44.65 (assume @p188 (forall @t366 (=> @t388 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t373 @t98) (or (and @t387 @t384) (and @t385 @t386)))))) % 44.44/44.65 (assume @p189 (forall @t223 (=> @t390 (=> @t139 (=> @t171 @t389))))) % 44.44/44.65 (assume @p190 (forall @t223 (=> @t390 (=> @t139 (=> @t392 @t391))))) % 44.44/44.65 (assume @p191 (forall @t223 (=> @t390 (=> @t139 (=> @t392 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t221 @t98)))))) % 44.44/44.65 (assume @p192 (forall @t223 (=> @t390 (=> @t393 (=> @t171 @t391))))) % 44.44/44.65 (assume @p193 (forall @t223 (=> @t339 (=> @t393 (=> @t392 @t389))))) % 44.44/44.65 (assume @p194 @t399) % 44.44/44.65 (assume @p195 (forall @t230 (=> @t398 @t404))) % 44.44/44.65 (assume @p196 (forall @t230 (=> (tptp.class_Rings_Oordered__comm__semiring @t43) @t404))) % 44.44/44.65 (assume @p197 (forall @t407 (=> @t339 (=> @t406 (=> @t405 @t394))))) % 44.44/44.65 (assume @p198 (forall @t407 (=> @t339 (=> @t406 (=> @t405 @t403))))) % 44.44/44.65 (assume @p199 (forall @t228 (=> @t398 (=> @t197 (=> @t410 (=> @t139 @t409)))))) % 44.44/44.65 (assume @p200 (forall @t228 (=> @t398 (=> @t197 (=> @t410 (=> @t171 @t409)))))) % 44.44/44.65 (assume @p201 (forall @t223 (=> @t339 (=> (or (and @t139 @t171) (and @t393 @t392)) @t389)))) % 44.44/44.65 (assume @p202 (forall @t223 (=> @t390 (=> (or (and @t139 @t392) (and @t393 @t171)) @t391)))) % 44.44/44.65 (assume @p203 (forall @t407 (=> @t388 (=> @t413 (=> @t412 @t411))))) % 44.44/44.65 (assume @p204 (forall @t407 (=> @t388 (=> @t413 (=> @t412 @t414))))) % 44.44/44.65 (assume @p205 (forall @t230 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t43) @t416))) % 44.44/44.65 (assume @p206 (forall @t230 (=> @t417 @t416))) % 44.44/44.65 (assume @p207 (forall @t230 (=> @t417 (=> @t140 (=> @t415 @t414))))) % 44.44/44.65 (assume @p208 (forall @t223 (=> @t388 (=> @t420 (=> @t419 @t418))))) % 44.44/44.65 (assume @p209 (forall @t223 (=> @t417 (=> @t420 (=> @t422 @t421))))) % 44.44/44.65 (assume @p210 (forall @t429 (=> @t388 (=> @t428 (= @t427 @t423))))) % 44.44/44.65 (assume @p211 (forall @t431 (=> @t417 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t221) @t430)))) % 44.44/44.65 (assume @p212 (forall @t223 (=> @t417 (=> @t418 @t430)))) % 44.44/44.65 (assume @p213 (forall @t223 (=> @t417 (=> @t134 (=> @t419 (tptp.c_Orderings_Oord__class_Oless @t43 @t221 @t98)))))) % 44.44/44.65 (assume @p214 (forall @t223 (=> @t417 (=> @t134 (=> @t419 @t421))))) % 44.44/44.65 (assume @p215 (forall @t223 (=> @t417 (=> @t134 (=> @t422 @t418))))) % 44.44/44.65 (assume @p216 (forall @t429 (=> @t388 (=> @t433 (= @t427 @t432))))) % 44.44/44.65 (assume @p217 (forall @t429 (=> @t388 (= @t427 @t434)))) % 44.44/44.65 (assume @p218 (forall @t435 (=> @t388 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t260 @t257) @t434)))) % 44.44/44.65 (assume @p219 (forall @t110 (=> @t383 (not (tptp.c_Orderings_Oord__class_Oless @t43 @t382 @t98))))) % 44.44/44.65 (assume @p220 (forall @t230 (=> @t88 (=> @t134 @t438)))) % 44.44/44.65 (assume @p221 (forall @t100 (=> @t88 (not (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t86 @t98))))) % 44.44/44.65 (assume @p222 (forall @t100 (=> @t88 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t86)))) % 44.44/44.65 (assume @p223 (forall @t100 (=> @t88 (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t86)))) % 44.44/44.65 (assume @p224 (forall @t100 (=> @t88 (not (tptp.c_Orderings_Oord__class_Oless @t43 @t86 @t98))))) % 44.44/44.65 (assume @p225 (forall (@list @t37 @t75 @t43) (=> @t88 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t86 @t75) (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t86 @t37) (tptp.c_Orderings_Oord__class_Oless @t43 @t86 (tptp.hAPP @t439 @t37))))))) % 44.44/44.65 (assume @p226 (forall @t110 (=> @t88 (tptp.c_Orderings_Oord__class_Oless @t43 @t72 @t280)))) % 44.44/44.65 (assume @p227 (forall @t377 (=> @t300 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t365 @t98) @t385)))) % 44.44/44.65 (assume @p228 (forall @t377 (=> @t300 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t365) @t387)))) % 44.44/44.65 (assume @p229 (forall @t223 (=> @t297 (=> @t440 (=> @t419 @t413))))) % 44.44/44.65 (assume @p230 (forall @t223 (=> @t297 (=> @t440 (=> @t134 @t413))))) % 44.44/44.65 (assume @p231 (forall @t110 (=> @t297 (=> @t441 (=> @t131 @t420))))) % 44.44/44.65 (assume @p232 (forall @t223 (=> @t297 (=> @t140 (=> @t419 @t442))))) % 44.44/44.65 (assume @p233 (forall @t223 (=> @t297 (=> @t140 (=> @t134 @t442))))) % 44.44/44.65 (assume @p234 (forall @t110 (=> @t297 (=> @t420 @t441)))) % 44.44/44.65 (assume @p235 (forall @t110 (=> @t297 (=> @t443 (=> @t131 @t134))))) % 44.44/44.65 (assume @p236 (forall @t110 (=> @t297 (=> @t134 @t443)))) % 44.44/44.65 (assume @p237 (forall @t377 (=> @t300 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t365 @t98) @t444)))) % 44.44/44.65 (assume @p238 (forall @t377 (=> @t300 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t365) @t445)))) % 44.44/44.65 (assume @p239 (forall @t223 (=> @t133 (=> @t131 (=> @t349 (= @t380 (tptp.hAPP (tptp.hAPP @t57 @t346) @t108))))))) % 44.44/44.65 (assume @p240 (forall @t223 (=> @t133 (=> (= @t222 @t86) (= @t108 @t135))))) % 44.44/44.65 (assume @p241 @t450) % 44.44/44.65 (assume @p242 (forall @t429 (=> @t388 (=> @t428 (= @t447 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t157 @t121)))))) % 44.44/44.65 (assume @p243 (forall @t228 (=> @t417 (=> @t140 (=> @t453 (=> @t422 @t452)))))) % 44.44/44.65 (assume @p244 (forall @t228 (=> @t417 (=> @t140 (=> @t453 (=> @t139 @t452)))))) % 44.44/44.65 (assume @p245 (forall @t228 (=> @t417 (=> @t140 (=> @t410 (=> @t139 (=> @t415 @t451))))))) % 44.44/44.65 (assume @p246 (forall @t228 (=> @t417 (=> @t197 (=> @t453 (=> @t134 @t452)))))) % 44.44/44.65 (assume @p247 (forall @t457 (=> @t456 @t455))) % 44.44/44.65 (assume @p248 (forall @t457 (=> @t417 @t455))) % 44.44/44.65 (assume @p249 (forall @t459 (=> @t456 @t458))) % 44.44/44.65 (assume @p250 (forall @t459 (=> @t417 @t458))) % 44.44/44.65 (assume @p251 (forall @t457 (=> @t417 (=> @t394 @t460)))) % 44.44/44.65 (assume @p252 (forall @t459 (=> @t417 (=> @t403 @t460)))) % 44.44/44.65 (assume @p253 (forall @t62 (=> @t358 (=> @t463 (=> @t462 (=> @t461 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t59 @t38))))))) % 44.44/44.65 (assume @p254 (forall @t62 (=> @t358 (=> @t463 (=> @t462 (=> @t461 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t464 @t38))))))) % 44.44/44.65 (assume @p255 (forall @t100 (=> @t88 (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t282)))) % 44.44/44.65 (assume @p256 (forall @t223 (=> @t297 (=> @t465 (=> @t419 @t406))))) % 44.44/44.65 (assume @p257 (forall @t223 (=> @t297 (=> @t465 (=> @t134 @t406))))) % 44.44/44.65 (assume @p258 (forall @t223 (=> @t297 (=> @t197 (=> @t419 @t466))))) % 44.44/44.65 (assume @p259 (forall @t223 (=> @t297 (=> @t197 (=> @t134 @t466))))) % 44.44/44.65 (assume @p260 (forall @t115 (=> @t300 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t299 @t86) (or @t298 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t86 @t111)))))) % 44.44/44.65 (assume @p261 (forall @t223 (=> @t133 (=> @t131 (=> @t349 (= @t467 (tptp.hAPP (tptp.hAPP @t57 (tptp.hAPP @t305 @t227)) @t346))))))) % 44.44/44.65 (assume @p262 (forall @t223 (=> @t468 (=> @t131 (=> @t349 (= @t467 (tptp.hAPP (tptp.hAPP @t57 (tptp.hAPP @t242 @t108)) @t346))))))) % 44.44/44.65 (assume @p263 (forall @t110 (=> @t297 (=> @t134 (=> @t144 (tptp.c_Orderings_Oord__class_Oless @t43 @t86 @t108)))))) % 44.44/44.65 (assume @p264 (forall @t115 (=> @t300 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t86 @t299) (and @t301 (tptp.c_Orderings_Oord__class_Oless @t43 @t111 @t86)))))) % 44.44/44.65 (assume @p265 (forall @t110 (=> @t133 (=> @t131 (= (tptp.hAPP @t152 @t108) @t86))))) % 44.44/44.65 (assume @p266 (forall @t110 (=> @t468 @t306))) % 44.44/44.65 (assume @p267 (not (forall (@list @t469) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t469) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t469 @t41) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t469 @t53))))))) % 44.44/44.65 (assume @p268 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t314 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t283) @t36))) % 44.44/44.65 (assume @p269 (not (forall @t311 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t96 (tptp.hAPP (tptp.hAPP @t9 (tptp.hAPP (tptp.hAPP @t33 @t309) tptp.v_k____)) tptp.v_a____)) @t7))))) % 44.44/44.65 (assume @p270 (exists @t473 (and @t472 @t471))) % 44.44/44.65 (assume @p271 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t22 @t312)) % 44.44/44.65 (assume @p272 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t97 @t96) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t7 @t96))) % 44.44/44.65 (assume @p273 (forall (@list @t38 @t189 @t43) (=> @t65 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t189 @t44) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t189) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t43 (tptp.c_Rings_Oinverse__class_Oinverse @t43 @t38)) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t189))))))) % 44.44/44.65 (assume @p274 (= @t95 @t474)) % 44.44/44.65 (assume @p275 (forall @t475 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t20 @t37))) % 44.44/44.65 (assume @p276 (forall (@list @t476 @t38) (=> @t477 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t476) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t476 @t41) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t41 @t476)) @t38) @t41)))))) % 44.44/44.65 (assume @p277 (forall @t475 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t20)))) % 44.44/44.65 (assume @p278 (forall @t479 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t478 @t75))) % 44.44/44.65 (assume @p279 (forall @t366 (=> @t358 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t482 @t157) (and @t432 @t481))))) % 44.44/44.65 (assume @p280 (forall (@list @t37 @t483 @t484) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t484 @t483) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t484 @t37) @t483)))) % 44.44/44.65 (assume @p281 (forall @t488 (=> @t201 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t487 @t486)))) % 44.44/44.65 (assume @p282 (forall @t488 (=> @t201 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t75 @t485) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t37 @t485))))) % 44.44/44.65 (assume @p283 (forall (@list @t37 @t323) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t323 @t37) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t37 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t37 @t323)) @t323)))) % 44.44/44.65 (assume @p284 (forall @t488 (=> @t164 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t75 @t485) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t487 @t486))))) % 44.44/44.65 (assume @p285 (forall @t493 (=> @t492 (=> @t491 (= (= @t490 @t489) @t187))))) % 44.44/44.65 (assume @p286 (forall @t495 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t483 @t75) (=> @t494 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t75 @t483) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t37 @t483)) @t478))))) % 44.44/44.65 (assume @p287 (forall @t493 (=> @t492 (=> @t491 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t490 @t489) @t496))))) % 44.44/44.65 (assume @p288 (forall @t89 (=> @t358 (= (tptp.c_Groups_Oabs__class_Oabs @t43 @t499) @t497)))) % 44.44/44.65 (assume @p289 (forall @t106 (=> @t101 @t501))) % 44.44/44.65 (assume @p290 (forall @t106 (=> @t64 @t501))) % 44.44/44.65 (assume @p291 (forall @t479 (=> @t503 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t37 @t75) @t20) @t502)))) % 44.44/44.65 (assume @p292 (forall @t504 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t75 @t75) @t20))) % 44.44/44.65 (assume @p293 (forall @t504 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t75 @t20) @t75))) % 44.44/44.65 (assume @p294 (forall @t475 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t20 @t37) @t20))) % 44.44/44.65 (assume @p295 (forall @t479 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t77 @t37) @t75))) % 44.44/44.65 (assume @p296 (forall @t506 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t505 @t37) @t75))) % 44.44/44.65 (assume @p297 (forall @t510 (= @t509 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t323 @t507)))) % 44.44/44.65 (assume @p298 (forall @t495 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t483 @t75) @t511) @t478))) % 44.44/44.65 (assume @p299 (forall @t514 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t513 @t512) @t478))) % 44.44/44.65 (assume @p300 (forall @t516 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t189) @t515))) % 44.44/44.65 (assume @p301 (forall @t520 (= (tptp.hAPP (tptp.hAPP @t148 @t478) @t483) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t519 @t518)))) % 44.44/44.65 (assume @p302 (forall @t495 (= (tptp.hAPP @t521 @t478) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t523 @t522)))) % 44.44/44.65 (assume @p303 (forall @t110 (=> @t358 (= (tptp.hAPP @t525 @t524) @t382)))) % 44.44/44.65 (assume @p304 (forall @t223 (=> @t358 @t528))) % 44.44/44.65 (assume @p305 (forall @t100 (=> @t358 (= (tptp.c_Groups_Oabs__class_Oabs @t43 @t86) @t86)))) % 44.44/44.65 (assume @p306 (forall @t89 (=> @t358 (= @t497 @t529)))) % 44.44/44.65 (assume @p307 (forall @t110 (=> @t300 @t530))) % 44.44/44.65 (assume @p308 (forall @t62 (=> @t61 (= (tptp.hAPP (tptp.hAPP @t57 @t531) @t54) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t59))))) % 44.44/44.65 (assume @p309 (forall @t223 (=> @t61 (= @t534 @t532)))) % 44.44/44.65 (assume @p310 (forall (@list @t38 @t264 @t43) (=> @t61 (= (tptp.hAPP @t265 @t531) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t267))))) % 44.44/44.65 (assume @p311 (forall @t223 (=> @t61 (= @t536 @t532)))) % 44.44/44.65 (assume @p312 (forall @t366 (=> @t539 (= (= (tptp.hAPP @t259 @t121) (tptp.hAPP @t256 @t157)) (or @t262 @t538))))) % 44.44/44.65 (assume @p313 (forall @t223 (=> @t334 (= (tptp.hAPP @t533 @t535) @t222)))) % 44.44/44.65 (assume @p314 (forall @t223 (=> @t334 (= @t534 @t536)))) % 44.44/44.65 (assume @p315 (forall @t223 (=> @t334 (= @t532 @t534)))) % 44.44/44.65 (assume @p316 (forall @t223 (=> @t334 (= @t532 @t536)))) % 44.44/44.65 (assume @p317 (forall @t110 (=> @t71 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t107) @t107)))) % 44.44/44.65 (assume @p318 (forall @t106 (=> @t71 (= (tptp.c_RealVector_Onorm__class_Onorm @t43 @t531) @t44)))) % 44.44/44.65 (assume @p319 (forall @t110 (=> @t104 @t540))) % 44.44/44.65 (assume @p320 (forall @t506 (=> @t138 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 @t75) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t478 @t75))))) % 44.44/44.65 (assume @p321 (forall @t542 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t186)) @t541))) % 44.44/44.65 (assume @p322 (forall @t506 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t37 @t505) @t20))) % 44.44/44.65 (assume @p323 (forall @t543 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t186 @t118) @t20) @t496))) % 44.44/44.65 (assume @p324 (forall @t479 (=> @t201 @t503))) % 44.44/44.65 (assume @p325 (forall @t479 (=> (not @t164) @t544))) % 44.44/44.65 (assume @p326 (forall @t549 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t546 @t548) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t547 @t545)))) % 44.44/44.65 (assume @p327 (forall @t493 (=> @t492 (=> @t491 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t490 @t489) @t541))))) % 44.44/44.65 (assume @p328 (forall (@list @t191 @t135 @t72) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t72 @t135) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t191 @t72) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t72 @t191) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t135 @t191)))))) % 44.44/44.65 (assume @p329 (forall @t553 (=> @t552 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t323 @t551) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t550 @t484))))) % 44.44/44.65 (assume @p330 (forall (@list @t546 @t360 @t545) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t548 @t546) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t545 @t547)))) % 44.44/44.65 (assume @p331 (forall (@list @t75 @t37 @t483) (=> @t494 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t75 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t505 @t483))))) % 44.44/44.65 (assume @p332 (forall @t506 (=> @t554 @t544))) % 44.44/44.65 (assume @p333 (forall @t553 (=> @t552 (= @t557 @t556)))) % 44.44/44.65 (assume @p334 (forall (@list @t546 @t545 @t360) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t360 @t545) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t546 @t548) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t547 @t545))))) % 44.44/44.65 (assume @p335 (forall @t506 (=> @t554 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t478 @t37) @t75)))) % 44.44/44.65 (assume @p336 (forall @t549 (=> @t559 (= (= @t558 @t360) (= @t545 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t360 @t546)))))) % 44.44/44.65 (assume @p337 (forall @t553 (=> @t552 (= @t556 @t557)))) % 44.44/44.65 (assume @p338 (forall @t553 (=> @t552 (= @t562 @t561)))) % 44.44/44.65 (assume @p339 (forall @t553 (=> @t552 (= @t561 @t562)))) % 44.44/44.65 (assume @p340 (forall @t563 (=> @t358 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t524 @t191) (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t526 @t188) (tptp.c_Orderings_Oord__class_Oless @t43 @t527 (tptp.hAPP @t400 @t188))))))) % 44.44/44.65 (assume @p341 (forall @t110 (=> @t297 (=> @t131 @t530)))) % 44.44/44.65 (assume @p342 (forall @t377 (=> @t358 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t121 @t480) @t444)))) % 44.44/44.65 (assume @p343 (forall @t106 (=> @t565 (= @t531 (tptp.hAPP (tptp.hAPP @t57 @t564) @t38))))) % 44.44/44.65 (assume @p344 (forall @t115 (=> @t163 (= (= @t566 @t86) (or @t381 (= @t111 @t564)))))) % 44.44/44.65 (assume @p345 (forall @t62 (=> @t565 (= @t321 (tptp.c_Groups_Oplus__class_Oplus @t43 @t38 @t567))))) % 44.44/44.65 (assume @p346 (forall @t110 (=> @t133 (=> @t131 @t540)))) % 44.44/44.65 (assume @p347 (forall @t576 (= @t575 (not (or (and @t574 (not @t573)) (exists @t572 (and @t571 (not @t570)))))))) % 44.44/44.65 (assume @p348 (forall @t576 (= @t575 (and (=> @t574 @t573) (forall @t572 (=> @t571 @t570)))))) % 44.44/44.65 (assume @p349 (forall @t578 (=> @t50 (= (tptp.c_RealVector_Onorm__class_Onorm @t43 @t577) @t515)))) % 44.44/44.65 (assume @p350 (forall @t584 (=> @t583 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t43 @t581) @t20) @t582)))) % 44.44/44.65 (assume @p351 (forall @t223 (=> (tptp.class_Rings_Oordered__ring__abs @t43) (=> (and (or @t139 @t393) (or @t171 @t392)) @t528)))) % 44.44/44.65 (assume @p352 (forall @t62 (=> @t358 (=> @t463 (= (tptp.hAPP (tptp.hAPP @t57 (tptp.c_Groups_Oabs__class_Oabs @t43 @t54)) @t38) (tptp.c_Groups_Oabs__class_Oabs @t43 @t464)))))) % 44.44/44.65 (assume @p353 (forall @t89 (=> @t358 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t529)))) % 44.44/44.65 (assume @p354 (forall @t89 (=> @t585 (= @t499 (tptp.hAPP (tptp.hAPP @t57 (tptp.hAPP (tptp.hAPP @t46 @t564) @t37)) @t74))))) % 44.44/44.65 (assume @p355 (forall (@list @t54 @t38 @t191) (=> @t304 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t586 (tptp.hAPP @t303 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t54))) @t368)))) % 44.44/44.65 (assume @p356 (forall (@list @t569 @t118 @t186) (=> (=> @t541 @t587) (=> (=> @t187 @t587) (=> (=> @t588 @t587) @t587))))) % 44.44/44.65 (assume @p357 (forall (@list @t476 @t193) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t193 @t476) (not (= @t193 @t476))))) % 44.44/44.65 (assume @p358 (forall @t506 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t75) @t589))) % 44.44/44.65 (assume @p359 (forall @t475 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t37 @t37)))) % 44.44/44.65 (assume @p360 (forall @t591 (=> @t356 (=> (not @t590) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t54 @t38))))) % 44.44/44.65 (assume @p361 (forall @t543 (= @t592 (or @t541 @t588)))) % 44.44/44.65 (assume @p362 (forall @t593 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t186 @t360) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t118 @t360)) @t187))) % 44.44/44.65 (assume @p363 (forall @t493 (= (= @t595 @t594) @t187))) % 44.44/44.65 (assume @p364 (forall @t520 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t77 @t483) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t75 @t512)))) % 44.44/44.65 (assume @p365 (forall @t597 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t596) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t54 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t38 @t181))))) % 44.44/44.65 (assume @p366 (forall @t479 (= @t77 @t505))) % 44.44/44.65 (assume @p367 (forall @t479 (=> @t201 (=> @t554 @t502)))) % 44.44/44.65 (assume @p368 (forall @t510 (=> @t598 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t484 @t483) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t323 @t483))))) % 44.44/44.65 (assume @p369 (forall @t479 (=> @t502 @t201))) % 44.44/44.65 (assume @p370 (forall @t479 (or @t201 @t554))) % 44.44/44.65 (assume @p371 (forall @t475 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t37 @t37))) % 44.44/44.65 (assume @p372 (forall @t520 (= (tptp.hAPP (tptp.hAPP @t148 @t151) @t483) (tptp.hAPP @t150 @t518)))) % 44.44/44.65 (assume @p373 (forall @t479 (= @t151 (tptp.hAPP @t517 @t75)))) % 44.44/44.65 (assume @p374 (forall @t223 (=> @t71 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t320) @t318)))) % 44.44/44.65 (assume @p375 (forall @t600 (= @t120 @t599))) % 44.44/44.65 (assume @p376 (forall @t479 (=> @t164 @t175))) % 44.44/44.65 (assume @p377 (forall @t475 (=> @t175 @t138))) % 44.44/44.65 (assume @p378 (forall @t479 (=> (= @t77 @t75) @t174))) % 44.44/44.65 (assume @p379 (forall @t543 (= (= @t602 @t20) (and @t601 @t119)))) % 44.44/44.65 (assume @p380 (forall @t504 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t75 @t20) @t75))) % 44.44/44.65 (assume @p381 (forall @t475 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t20 @t37) @t37))) % 44.44/44.65 (assume @p382 (forall @t600 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118 @t20) @t119))) % 44.44/44.65 (assume @p383 (forall @t475 (= (tptp.hAPP (tptp.hAPP @t148 @t20) @t37) @t20))) % 44.44/44.65 (assume @p384 (forall @t504 (= (tptp.hAPP @t150 @t20) @t20))) % 44.44/44.65 (assume @p385 (forall @t543 (= (= @t604 @t20) (or @t601 @t119)))) % 44.44/44.65 (assume @p386 (forall @t493 (= @t610 @t606))) % 44.44/44.65 (assume @p387 (forall @t593 (= (= @t612 @t611) @t606))) % 44.44/44.65 (assume @p388 (forall @t510 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t555 @t483) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t323 @t483)))) % 44.44/44.65 (assume @p389 (forall (@list @t37 @t75 @t485 @t483) (=> @t613 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t75 @t485) @t511) @t164)))) % 44.44/44.65 (assume @p390 (forall @t616 (=> @t615 (=> @t613 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t550 @t614))))) % 44.44/44.65 (assume @p391 (forall @t510 (=> @t615 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t550 @t507)))) % 44.44/44.65 (assume @p392 (forall @t618 (=> @t615 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t323 @t617)))) % 44.44/44.65 (assume @p393 (forall @t618 (=> @t615 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t323 @t619)))) % 44.44/44.65 (assume @p394 (forall @t493 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t595 @t594) @t541))) % 44.44/44.65 (assume @p395 (forall (@list @t323 @t484) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t560 @t323)))) % 44.44/44.65 (assume @p396 (forall (@list @t484 @t323) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t555 @t323)))) % 44.44/44.65 (assume @p397 (forall @t479 (=> (or @t164 @t502) @t201))) % 44.44/44.65 (assume @p398 (forall @t479 (=> @t201 (=> @t589 @t164)))) % 44.44/44.65 (assume @p399 (forall @t479 (=> @t164 @t201))) % 44.44/44.65 (assume @p400 (forall @t543 (= @t496 (or @t541 @t187)))) % 44.44/44.65 (assume @p401 (forall @t543 (= @t541 (and @t496 @t592)))) % 44.44/44.65 (assume @p402 (forall @t514 (=> @t620 (not (=> @t201 (not @t494)))))) % 44.44/44.65 (assume @p403 (forall @t514 (=> @t620 @t201))) % 44.44/44.65 (assume @p404 (forall @t514 (=> @t620 @t494))) % 44.44/44.65 (assume @p405 (forall @t616 (=> @t598 (=> @t621 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t550 @t614))))) % 44.44/44.65 (assume @p406 (forall @t510 (=> @t598 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t550 @t507)))) % 44.44/44.65 (assume @p407 (forall @t618 (=> @t598 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t323 @t617)))) % 44.44/44.65 (assume @p408 (forall @t618 (=> @t598 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t323 @t619)))) % 44.44/44.65 (assume @p409 (forall @t493 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t595 @t594) @t496))) % 44.44/44.65 (assume @p410 (forall @t543 (= @t496 (exists (@list @t622) (= @t118 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t186 @t622)))))) % 44.44/44.65 (assume @p411 (forall @t506 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t37 @t505))) % 44.44/44.65 (assume @p412 (forall @t506 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t37 @t77))) % 44.44/44.65 (assume @p413 (forall @t520 (= (tptp.hAPP (tptp.hAPP @t148 @t77) @t483) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t519 @t518)))) % 44.44/44.65 (assume @p414 (forall @t495 (= (tptp.hAPP @t521 @t77) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t523 @t522)))) % 44.44/44.65 (assume @p415 (forall @t616 (=> @t598 (=> @t621 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t625 (tptp.hAPP @t623 @t485)))))) % 44.44/44.65 (assume @p416 (forall @t510 (=> @t598 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t627 @t626)))) % 44.44/44.65 (assume @p417 (forall @t510 (=> @t598 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t625 @t628)))) % 44.44/44.65 (assume @p418 (forall @t504 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t75 (tptp.hAPP @t150 @t629)))) % 44.44/44.65 (assume @p419 (forall @t504 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t75 @t629))) % 44.44/44.65 (assume @p420 (forall @t543 (= (= @t604 @t21) @t630))) % 44.44/44.65 (assume @p421 (forall @t475 (= (tptp.hAPP @t517 @t21) @t37))) % 44.44/44.65 (assume @p422 (forall @t543 (= (= @t21 @t604) @t630))) % 44.44/44.65 (assume @p423 (forall @t475 (= (tptp.hAPP (tptp.hAPP @t148 @t21) @t37) @t37))) % 44.44/44.65 (assume @p424 (forall @t543 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 @t602) (or @t631 @t599)))) % 44.44/44.65 (assume @p425 (forall @t543 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t20 @t604) (and @t631 @t599)))) % 44.44/44.65 (assume @p426 (forall @t493 (= @t634 @t633))) % 44.44/44.65 (assume @p427 (forall @t593 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t612 @t611) @t633))) % 44.44/44.65 (assume @p428 (forall @t510 (=> @t615 (=> @t635 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t625 @t628))))) % 44.44/44.65 (assume @p429 (forall @t510 (=> @t615 (=> @t635 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t627 @t626))))) % 44.44/44.65 (assume @p430 (forall @t479 (=> (= @t75 @t151) (or (= @t37 @t21) @t636)))) % 44.44/44.65 (assume @p431 (forall @t493 (= @t638 @t637))) % 44.44/44.65 (assume @p432 (forall @t593 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t612 @t611) @t637))) % 44.44/44.65 (assume @p433 (forall @t6 (= (tptp.hAPP @t640 @t3) @t639))) % 44.44/44.65 (assume @p434 (forall (@list @t581) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t581) @t312) (=> (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t641)) (exists @t19 (= (tptp.hAPP @t641 @t15) @t7)))))) % 44.44/44.65 (assume @p435 (exists @t646 (and @t645 @t643))) % 44.44/44.65 (assume @p436 (=> @t308 (exists @t19 (= (tptp.hAPP @t94 @t15) @t7)))) % 44.44/44.65 (assume @p437 (= @t647 @t312)) % 44.44/44.65 (assume @p438 (forall @t648 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t41 @t586)))) % 44.44/44.65 (assume @p439 (not (= @t649 @t7))) % 44.44/44.65 (assume @p440 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t640))) % 44.44/44.65 (assume @p441 (forall @t311 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t650 @t310))) % 44.44/44.65 (assume @p442 (= @t307 @t649)) % 44.44/44.65 (assume @p443 (= (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) @t652)) % 44.44/44.65 (assume @p444 (forall @t510 (= @t509 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t323 @t483) @t484)))) % 44.44/44.65 (assume @p445 (forall (@list @t38 @t290) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.hAPP @t653 @t290)) (tptp.hAPP @t67 @t38)))) % 44.44/44.65 (assume @p446 (forall @t656 (= (= @t655 @t90) (= @t165 @t654)))) % 44.44/44.65 (assume @p447 (forall @t657 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t111 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t121)) @t90) (= @t111 @t121)))) % 44.44/44.65 (assume @p448 (forall (@list @t658 @t111) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t111) @t658) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t658) @t111) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t111 @t658))))) % 44.44/44.65 (assume @p449 (forall (@list @t193 @t189) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t189 @t193) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t189 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t193))))) % 44.44/44.65 (assume @p450 (forall @t591 (= @t315 @t659))) % 44.44/44.65 (assume @p451 (forall @t591 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t659) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t54 @t500))))) % 44.44/44.65 (assume @p452 (forall @t656 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t655 @t90) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t165 @t654)))) % 44.44/44.65 (assume @p453 (forall @t656 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90 @t655) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t654 @t165)))) % 44.44/44.65 (assume @p454 (forall @t656 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t655 @t90) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t165 @t654)))) % 44.44/44.65 (assume @p455 (forall @t656 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t655) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t654 @t165)))) % 44.44/44.65 (assume @p456 (forall (@list @t72) (and (=> @t661 (= @t660 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t72))) (=> (not @t661) (= @t660 @t72))))) % 44.44/44.65 (assume @p457 (forall @t516 (and (=> @t662 (= @t515 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t189))) (=> (not @t662) (= @t515 @t189))))) % 44.44/44.65 (assume @p458 (forall (@list @t75 @t485 @t54 @t38) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t278 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t664 @t663))) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t38 @t664)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t54 @t663)))))) % 44.44/44.65 (assume @p459 (forall @t665 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t183 @t183))) % 44.44/44.65 (assume @p460 (forall @t668 (or @t667 @t666))) % 44.44/44.65 (assume @p461 (forall @t510 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t323 @t484) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t484 @t483) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t323 @t483))))) % 44.44/44.65 (assume @p462 (forall @t668 (=> @t667 (=> @t666 @t669)))) % 44.44/44.65 (assume @p463 (forall @t668 (= (tptp.hAPP @t670 @t183) (tptp.hAPP (tptp.hAPP @t25 @t183) @t181)))) % 44.44/44.65 (assume @p464 (forall @t676 (= (tptp.hAPP (tptp.hAPP @t25 (tptp.hAPP @t675 @t672)) @t671) (tptp.hAPP @t675 (tptp.hAPP @t673 @t671))))) % 44.44/44.65 (assume @p465 (forall @t656 (= @t679 (and @t678 @t677)))) % 44.44/44.65 (assume @p466 @t680) % 44.44/44.65 (assume @p467 (forall @t682 (=> @t681 (= (= (tptp.hAPP (tptp.hAPP @t25 @t121) @t255) (tptp.hAPP (tptp.hAPP @t25 @t157) @t255)) @t262)))) % 44.44/44.65 (assume @p468 (forall @t682 (=> @t681 (= (= (tptp.hAPP @t683 @t121) (tptp.hAPP @t683 @t157)) @t262)))) % 44.44/44.65 (assume @p469 (not (= @t90 @t41))) % 44.44/44.65 (assume @p470 (forall @t597 (=> @t684 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t181 @t38) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t181 @t54))))) % 44.44/44.65 (assume @p471 (forall @t685 (= (tptp.hAPP @t42 @t181) @t181))) % 44.44/44.65 (assume @p472 (forall @t686 (= (tptp.hAPP (tptp.hAPP @t25 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t674 @t672)) @t183) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t675 @t183) (tptp.hAPP @t673 @t183))))) % 44.44/44.65 (assume @p473 (= (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t90) @t90)) % 44.44/44.65 (assume @p474 (forall @t345 (=> @t334 (= @t344 (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.hAPP @t58 @t341) @t343))))) % 44.44/44.65 (assume @p475 (forall @t237 (=> @t689 (= @t688 (= @t165 @t687))))) % 44.44/44.65 (assume @p476 (forall (@list @t54 @t38 @t181) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t181) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t54) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t670 @t38) (tptp.hAPP @t670 @t54)))))) % 44.44/44.65 (assume @p477 (forall @t591 (=> @t690 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t54) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t68))))) % 44.44/44.65 (assume @p478 (forall @t696 (=> @t695 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t694 @t692) @t679)))) % 44.44/44.66 (assume @p479 (forall @t656 (= @t678 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t111 @t165) @t90)))) % 44.44/44.66 (assume @p480 (forall @t656 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t697 (tptp.hAPP @t691 @t165)) @t90) (and @t116 (= @t165 @t90))))) % 44.44/44.66 (assume @p481 (forall @t106 (=> @t585 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t698 @t86) (tptp.hAPP (tptp.hAPP @t57 (tptp.c_Groups_Oplus__class_Oplus @t43 @t38 @t86)) (tptp.c_Groups_Ominus__class_Ominus @t43 @t38 @t86)))))) % 44.44/44.66 (assume @p482 (forall @t696 (=> @t695 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t694 @t692) @t678)))) % 44.44/44.66 (assume @p483 (forall @t696 (=> @t695 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t699 @t111) (tptp.hAPP @t699 @t165)) @t678)))) % 44.44/44.66 (assume @p484 (forall @t648 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t586 @t41) @t38)))) % 44.44/44.66 (assume @p485 (forall @t648 (=> @t369 (= (tptp.hAPP @t700 @t38) @t41)))) % 44.44/44.66 (assume @p486 (forall (@list @t38 @t37 @t43) (=> @t78 (=> @t138 (= (tptp.hAPP (tptp.hAPP @t57 (tptp.hAPP @t47 @t701)) @t38) @t48))))) % 44.44/44.66 (assume @p487 (forall (@list @t75 @t37 @t43) (=> @t128 (and (=> @t174 (= @t703 @t86)) (=> @t175 (= @t703 (tptp.hAPP @t439 (tptp.hAPP @t702 @t701)))))))) % 44.44/44.66 (assume @p488 (= (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t41)) @t474)) % 44.44/44.66 (assume @p489 (forall (@list @t81 @t75) (and (=> @t636 (= @t706 @t21)) (=> @t707 (= @t706 (tptp.hAPP @t149 (tptp.hAPP @t705 @t704))))))) % 44.44/44.66 (assume @p490 (forall @t479 (and (=> @t636 (= @t151 @t20)) (=> @t707 (= @t151 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 (tptp.hAPP (tptp.hAPP @t148 @t704) @t37))))))) % 44.44/44.66 (assume @p491 (= @t649 (tptp.hAPP (tptp.hAPP @t9 @t709) @t649))) % 44.44/44.66 (assume @p492 (forall @t19 (= (tptp.hAPP @t640 @t15) (tptp.hAPP (tptp.hAPP @t9 @t710) @t649)))) % 44.44/44.66 (assume @p493 (= @t709 @t96)) % 44.44/44.66 (assume @p494 (= @t647 @t652)) % 44.44/44.66 (assume @p495 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t708))) % 44.44/44.66 (assume @p496 (forall (@list @t239) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t708 @t239)) @t41) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t640 @t239)) @t650)))) % 44.44/44.66 (assume @p497 (forall @t19 (= @t710 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t709 (tptp.hAPP (tptp.hAPP @t9 (tptp.hAPP @t711 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____)) @t15)))))) % 44.44/44.66 (assume @p498 (forall @t237 (=> @t388 (= (= @t714 @t98) @t713)))) % 44.44/44.66 (assume @p499 (forall @t648 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t715) @t715))) % 44.44/44.66 (assume @p500 (forall @t591 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t38 @t54) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t38 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t54))))) % 44.44/44.66 (assume @p501 (forall @t237 (=> @t388 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t714 @t98) @t713)))) % 44.44/44.66 (assume @p502 (forall @t62 (=> @t383 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t716)))) % 44.44/44.66 (assume @p503 (forall @t237 (=> @t388 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t714) (or @t113 (not @t712)))))) % 44.44/44.66 (assume @p504 (forall @t62 (=> @t383 (not (tptp.c_Orderings_Oord__class_Oless @t43 @t716 @t98))))) % 44.44/44.66 (assume @p505 (forall @t721 (=> @t690 (=> @t720 (=> @t719 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t25 @t54) @t102) (tptp.hAPP @t653 @t718))))))) % 44.44/44.66 (assume @p506 (forall @t721 (=> @t690 (=> @t720 (=> @t719 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t700 @t54) (tptp.hAPP (tptp.hAPP @t25 @t718) @t290))))))) % 44.44/44.66 (assume @p507 (forall (@list @t72 @t135) (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 @t135 @t72)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t135)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t72)))) % 44.44/44.66 (assume @p508 (=> @t313 (exists @t311 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t708 @t309)) @t41)))) % 44.44/44.66 (assume @p509 (not (forall @t179 (= (tptp.hAPP @t708 @t3) (tptp.hAPP @t708 @t178))))) % 44.44/44.66 (assume @p510 (forall @t728 (=> @t727 (= @t726 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t723 @t118))))) % 44.44/44.66 (assume @p511 (forall @t730 (=> @t559 (= @t726 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t186 @t729))))) % 44.44/44.66 (assume @p512 (forall @t735 (=> @t734 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t579 @t733 @t732) @t580) @t731)))) % 44.44/44.66 (assume @p513 (forall @t493 (= @t610 (or @t605 @t187)))) % 44.44/44.66 (assume @p514 (forall (@list @t483 @t484 @t290 @t323) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t737 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t736 @t483)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t148 @t555) @t290) @t483)))) % 44.44/44.66 (assume @p515 (forall @t493 (=> @t632 (= @t634 @t541)))) % 44.44/44.66 (assume @p516 (forall @t493 (=> @t632 (= @t610 @t187)))) % 44.44/44.66 (assume @p517 (forall @t493 (=> @t632 (= @t638 @t496)))) % 44.44/44.66 (assume @p518 (forall @t728 (=> @t727 (= @t738 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t723 @t118))))) % 44.44/44.66 (assume @p519 (forall (@list @t37 @t75 @t290 @t323 @t484) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t484 @t323) (= @t739 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t148 @t508) @t290) @t75) @t37))))) % 44.44/44.66 (assume @p520 (forall @t728 (=> @t727 (= @t740 (= @t723 @t118))))) % 44.44/44.66 (assume @p521 (forall @t730 (=> @t559 (= @t738 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t186 @t729))))) % 44.44/44.66 (assume @p522 (forall (@list @t37 @t75 @t290 @t484 @t323) (=> @t598 (= @t739 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t75 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t148 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t484 @t323)) @t290) @t37)))))) % 44.44/44.66 (assume @p523 (forall @t730 (=> @t559 (= @t740 (= @t186 @t729))))) % 44.44/44.66 (assume @p524 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t742))) % 44.44/44.66 (assume @p525 (= @t22 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t741))) % 44.44/44.66 (assume @p526 (forall @t223 (=> @t133 (=> @t131 (=> @t349 (= @t347 (tptp.c_Groups_Ouminus__class_Ouminus @t43 (tptp.hAPP (tptp.hAPP @t57 (tptp.hAPP @t305 @t317)) @t346)))))))) % 44.44/44.66 (assume @p527 (forall (@list @t743) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t743) (exists (@list @t744) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t744) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t744 @t41) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t744 @t743)))))) % 44.44/44.66 (assume @p528 (forall (@list @t38 @t81 @t37 @t43) (=> @t565 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 (tptp.hAPP (tptp.hAPP @t747 (tptp.c_Polynomial_Omonom @t43 @t86 @t37)) @t81)) @t38) (tptp.hAPP (tptp.hAPP @t57 @t48) @t746))))) % 44.44/44.66 (assume @p529 (forall @t563 (=> @t748 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t225 @t224) (tptp.c_Groups_Oplus__class_Oplus @t43 @t317 (tptp.c_Groups_Ominus__class_Ominus @t43 @t191 @t188)))))) % 44.44/44.66 (assume @p530 (exists @t19 (= (tptp.hAPP @t742 @t15) @t7))) % 44.44/44.66 (assume @p531 (forall @t110 (=> @t583 (= (tptp.c_Polynomial_Omonom @t43 @t72 @t20) @t749)))) % 44.44/44.66 (assume @p532 (forall @t754 (=> @t734 (= (tptp.hAPP @t750 (tptp.c_Polynomial_OpCons @t43 @t72 @t80)) (tptp.c_Groups_Oplus__class_Oplus @t579 @t753 @t752))))) % 44.44/44.66 (assume @p533 (forall @t756 (=> @t734 (= (tptp.hAPP (tptp.hAPP @t747 @t732) @t80) (tptp.c_Groups_Oplus__class_Oplus @t579 @t755 @t752))))) % 44.44/44.66 (assume @p534 (forall @t100 (=> @t748 (= (tptp.c_Groups_Ouminus__class_Ouminus @t579 @t580) @t580)))) % 44.44/44.66 (assume @p535 (forall @t106 (=> @t358 (and (=> @t758 (= @t757 (tptp.c_Groups_Ouminus__class_Ouminus @t579 @t38))) (=> (not @t758) (= @t757 @t38)))))) % 44.44/44.66 (assume @p536 (forall @t759 (=> @t748 (= (tptp.c_Groups_Ominus__class_Ominus @t579 @t580 @t80) (tptp.c_Groups_Ouminus__class_Ouminus @t579 @t80))))) % 44.44/44.66 (assume @p537 (forall @t760 (=> @t748 (= (tptp.c_Groups_Ominus__class_Ominus @t579 @t81 @t580) @t81)))) % 44.44/44.66 (assume @p538 (forall @t760 (=> @t734 (= (tptp.hAPP @t750 @t580) @t580)))) % 44.44/44.66 (assume @p539 (forall @t759 (=> @t734 (= (tptp.hAPP (tptp.hAPP @t747 @t580) @t80) @t580)))) % 44.44/44.66 (assume @p540 (forall (@list @t761 @t581 @t43) (=> @t764 (= (= @t763 (tptp.c_Polynomial_Opoly @t43 @t761)) @t762)))) % 44.44/44.66 (assume @p541 (forall (@list @t761 @t157 @t581 @t121 @t43) (=> @t583 (= (= @t765 (tptp.c_Polynomial_OpCons @t43 @t157 @t761)) (and @t262 @t762))))) % 44.44/44.66 (assume @p542 (forall @t756 (=> @t734 (= (tptp.hAPP (tptp.hAPP @t747 @t753) @t80) @t766)))) % 44.44/44.66 (assume @p543 (forall @t754 (=> @t734 (= (tptp.hAPP @t750 @t755) @t766)))) % 44.44/44.66 (assume @p544 (forall @t770 (=> @t769 (= (tptp.c_Polynomial_Osmult @t43 @t72 @t768) @t767)))) % 44.44/44.66 (assume @p545 (forall @t756 (=> @t769 (= (tptp.c_Polynomial_Osmult @t43 @t72 @t771) (tptp.c_Groups_Ominus__class_Ominus @t579 @t753 @t755))))) % 44.44/44.66 (assume @p546 (forall (@list @t189 @t80 @t81 @t43) (=> @t734 (= (tptp.hAPP (tptp.hAPP @t747 @t773) @t189) (tptp.c_Groups_Oplus__class_Oplus @t579 (tptp.hAPP @t750 @t189) (tptp.hAPP @t772 @t189)))))) % 44.44/44.66 (assume @p547 (forall (@list @t157 @t118 @t121 @t43) (=> @t583 (= (= @t774 (tptp.c_Polynomial_Omonom @t43 @t157 @t118)) @t262)))) % 44.44/44.66 (assume @p548 (forall @t776 (=> @t734 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t751) @t38) (tptp.hAPP (tptp.hAPP @t57 @t746) @t775))))) % 44.44/44.66 (assume @p549 (forall @t106 (=> @t84 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t777) @t38) @t86)))) % 44.44/44.66 (assume @p550 (forall @t776 (=> @t769 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t771) @t38) (tptp.c_Groups_Ominus__class_Ominus @t43 @t746 @t775))))) % 44.44/44.66 (assume @p551 (forall (@list @t38 @t81 @t43) (=> @t769 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t768) @t38) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t746))))) % 44.44/44.66 (assume @p552 (forall (@list @t38 @t37 @t81 @t43) (=> @t84 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 (tptp.hAPP (tptp.hAPP @t778 @t81) @t37)) @t38) (tptp.hAPP (tptp.hAPP @t46 @t746) @t37))))) % 44.44/44.66 (assume @p553 (forall @t780 (=> @t748 (= (tptp.c_Groups_Ominus__class_Ominus @t579 @t732 @t779) (tptp.c_Polynomial_OpCons @t43 @t317 @t771))))) % 44.44/44.66 (assume @p554 (forall @t782 (=> @t734 (= (tptp.c_Polynomial_Osmult @t43 @t72 @t781) (tptp.c_Polynomial_Osmult @t43 @t222 @t81))))) % 44.44/44.66 (assume @p555 (forall @t760 (=> @t84 (= (tptp.c_Polynomial_Osmult @t43 @t86 @t81) @t81)))) % 44.44/44.66 (assume @p556 (forall (@list @t81 @t72 @t180) (=> (tptp.class_Groups_Oab__group__add @t180) (= (tptp.c_Groups_Ouminus__class_Ouminus @t783 (tptp.c_Polynomial_OpCons @t180 @t72 @t81)) (tptp.c_Polynomial_OpCons @t180 (tptp.c_Groups_Ouminus__class_Ouminus @t180 @t72) (tptp.c_Groups_Ouminus__class_Ouminus @t783 @t81)))))) % 44.44/44.66 (assume @p557 (forall @t770 (=> @t748 (= (tptp.c_Groups_Ouminus__class_Ouminus @t579 @t732) (tptp.c_Polynomial_OpCons @t43 @t498 @t768))))) % 44.44/44.66 (assume @p558 (forall @t782 (=> @t769 (= (tptp.c_Polynomial_Osmult @t43 @t317 @t81) (tptp.c_Groups_Ominus__class_Ominus @t579 @t753 @t781))))) % 44.44/44.66 (assume @p559 (forall @t770 (=> @t769 (= (tptp.c_Polynomial_Osmult @t43 @t498 @t81) @t767)))) % 44.44/44.66 (assume @p560 (forall @t584 (=> @t764 (= (= @t763 @t784) @t582)))) % 44.44/44.66 (assume @p561 (forall @t110 (=> @t734 (= (tptp.c_Polynomial_Osmult @t43 @t72 @t580) @t580)))) % 44.44/44.66 (assume @p562 (forall @t172 (=> @t748 (= (tptp.c_Groups_Ominus__class_Ominus @t579 @t786 @t785) (tptp.c_Polynomial_Omonom @t43 @t317 @t37))))) % 44.44/44.66 (assume @p563 (forall @t89 (=> @t748 (= (tptp.c_Groups_Ouminus__class_Ouminus @t579 @t786) (tptp.c_Polynomial_Omonom @t43 @t498 @t37))))) % 44.44/44.66 (assume @p564 (forall @t760 (=> @t787 (= (tptp.c_Groups_Oplus__class_Oplus @t579 @t81 @t580) @t81)))) % 44.44/44.66 (assume @p565 (forall @t759 (=> @t787 (= (tptp.c_Groups_Oplus__class_Oplus @t579 @t580 @t80) @t80)))) % 44.44/44.66 (assume @p566 (forall @t756 (=> @t734 (= (tptp.c_Polynomial_Osmult @t43 @t72 @t773) (tptp.c_Groups_Oplus__class_Oplus @t579 @t753 @t755))))) % 44.44/44.66 (assume @p567 (forall @t106 (=> @t734 (= (tptp.hAPP @t784 @t38) @t98)))) % 44.44/44.66 (assume @p568 (forall @t788 (=> @t583 (= (= @t765 @t580) (and @t122 @t582))))) % 44.44/44.66 (assume @p569 (forall @t100 (=> @t583 (= (tptp.c_Polynomial_OpCons @t43 @t98 @t580) @t580)))) % 44.44/44.66 (assume @p570 (forall @t760 (=> @t734 (= (tptp.c_Polynomial_Osmult @t43 @t98 @t81) @t580)))) % 44.44/44.66 (assume @p571 (forall @t788 (=> @t539 (= (= (tptp.c_Polynomial_Osmult @t43 @t121 @t581) @t580) (or @t122 @t582))))) % 44.44/44.66 (assume @p572 (forall @t100 (=> @t84 (= @t777 @t789)))) % 44.44/44.66 (assume @p573 (forall @t790 (=> @t734 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t753) @t38) (tptp.hAPP @t152 @t746))))) % 44.44/44.66 (assume @p574 (forall @t782 (=> @t734 (= (tptp.c_Polynomial_Osmult @t43 @t72 (tptp.c_Polynomial_OpCons @t43 @t135 @t81)) (tptp.c_Polynomial_OpCons @t43 @t222 @t753))))) % 44.44/44.66 (assume @p575 (forall (@list @t37 @t135 @t75 @t72 @t43) (=> @t734 (= (tptp.hAPP (tptp.hAPP @t747 (tptp.c_Polynomial_Omonom @t43 @t72 @t75)) @t785) (tptp.c_Polynomial_Omonom @t43 @t222 @t77))))) % 44.44/44.66 (assume @p576 (forall @t177 (=> @t583 (= (tptp.c_Polynomial_Omonom @t43 @t98 @t37) @t580)))) % 44.44/44.66 (assume @p577 (forall @t129 (=> @t583 (= (= @t774 @t580) @t122)))) % 44.44/44.66 (assume @p578 (forall @t776 (=> @t734 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t773) @t38) (tptp.c_Groups_Oplus__class_Oplus @t43 @t746 @t775))))) % 44.44/44.66 (assume @p579 (forall @t780 (=> @t787 (= (tptp.c_Groups_Oplus__class_Oplus @t579 @t732 @t779) (tptp.c_Polynomial_OpCons @t43 @t227 @t773))))) % 44.44/44.66 (assume @p580 (forall @t735 (=> @t734 (=> (= @t733 @t732) @t731)))) % 44.44/44.66 (assume @p581 (forall @t782 (=> @t734 (= (tptp.c_Polynomial_Osmult @t43 @t227 @t81) (tptp.c_Groups_Oplus__class_Oplus @t579 @t753 @t781))))) % 44.44/44.66 (assume @p582 (forall @t141 (=> @t734 (= (tptp.c_Polynomial_Osmult @t43 @t72 @t785) (tptp.c_Polynomial_Omonom @t43 @t222 @t37))))) % 44.44/44.66 (assume @p583 (forall @t172 (=> @t787 (= (tptp.c_Groups_Oplus__class_Oplus @t579 @t786 @t785) (tptp.c_Polynomial_Omonom @t43 @t227 @t37))))) % 44.44/44.66 (assume @p584 (forall @t790 (=> @t734 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t732) @t38) (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 (tptp.hAPP @t58 @t746)))))) % 44.44/44.66 (assume @p585 (forall (@list @t38 @t37 @t72 @t43) (=> @t84 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t786) @t38) (tptp.hAPP @t152 @t48))))) % 44.44/44.66 (assume @p586 (forall (@list @t658 @t121 @t111 @t43) (=> @t358 (= (tptp.c_Orderings_Oord__class_Oless @t43 (tptp.c_Groups_Oabs__class_Oabs @t43 (tptp.c_Groups_Ominus__class_Ominus @t43 @t111 @t121)) @t658) (and (tptp.c_Orderings_Oord__class_Oless @t43 (tptp.c_Groups_Ominus__class_Ominus @t43 @t121 @t658) @t111) (tptp.c_Orderings_Oord__class_Oless @t43 @t111 (tptp.c_Groups_Oplus__class_Oplus @t43 @t121 @t658))))))) % 44.44/44.66 (assume @p587 (forall @t223 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t792 @t791)))) % 44.44/44.66 (assume @p588 (forall @t228 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq @t43 (tptp.c_Groups_Oabs__class_Oabs @t43 @t372) (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.c_Groups_Oabs__class_Oabs @t43 @t371) (tptp.c_Groups_Oabs__class_Oabs @t43 @t370)))))) % 44.44/44.66 (assume @p589 (forall @t110 (=> (tptp.class_Groups_Oabs__if @t43) (and @t796 (=> (not @t420) @t794))))) % 44.44/44.66 (assume @p590 (forall @t115 (=> @t583 (= (= @t98 @t111) @t112)))) % 44.44/44.66 (assume @p591 (forall @t230 (=> (tptp.class_Groups_Oab__semigroup__mult @t43) (= (tptp.hAPP (tptp.hAPP @t57 @t222) @t191) (tptp.hAPP @t152 @t252))))) % 44.44/44.66 (assume @p592 (forall @t407 (=> @t798 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t135 @t72) @t235) @t797)))) % 44.44/44.66 (assume @p593 (forall @t230 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t43) @t799))) % 44.44/44.66 (assume @p594 (forall @t230 (=> @t798 @t799))) % 44.44/44.66 (assume @p595 (forall (@list @t255 @t121 @t157 @t43) (=> @t798 (= (= @t158 @t801) @t800)))) % 44.44/44.66 (assume @p596 (forall (@list @t255 @t157 @t121 @t43) (=> @t798 (= (= @t803 @t802) @t800)))) % 44.44/44.66 (assume @p597 (forall @t230 (=> (tptp.class_Groups_Oab__semigroup__add @t43) @t232))) % 44.44/44.66 (assume @p598 (forall @t115 (=> (tptp.class_Groups_Oone @t43) (= (= @t86 @t111) @t381)))) % 44.44/44.66 (assume @p599 (forall @t263 (=> @t748 (=> @t804 (= @t262 @t261))))) % 44.44/44.66 (assume @p600 (forall @t110 (=> @t689 (= (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t498) @t72)))) % 44.44/44.66 (assume @p601 (forall @t366 (=> @t689 (= @t538 (= @t157 @t480))))) % 44.44/44.66 (assume @p602 (forall @t366 (=> @t689 (= (= @t480 @t157) (= @t537 @t121))))) % 44.44/44.66 (assume @p603 (forall @t366 (=> @t689 (= (= @t480 @t537) @t262)))) % 44.44/44.66 (assume @p604 (forall @t110 (=> @t793 (= (tptp.c_Groups_Oabs__class_Oabs @t43 @t524) @t524)))) % 44.44/44.66 (assume @p605 (forall @t110 (=> @t787 @t161))) % 44.44/44.66 (assume @p606 (forall @t110 (=> @t805 @t161))) % 44.44/44.66 (assume @p607 (forall @t377 (=> @t807 (= (= @t98 @t806) @t122)))) % 44.44/44.66 (assume @p608 (forall @t110 (=> @t787 @t162))) % 44.44/44.66 (assume @p609 (forall @t110 (=> @t805 @t162))) % 44.44/44.66 (assume @p610 (forall @t459 (=> @t810 (=> @t809 @t197)))) % 44.44/44.66 (assume @p611 (forall @t457 (=> @t810 (=> @t811 @t197)))) % 44.44/44.66 (assume @p612 (forall @t228 (=> @t812 (=> @t197 (=> @t410 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t225 @t224)))))) % 44.44/44.66 (assume @p613 (forall @t230 (=> @t812 (=> @t197 @t809)))) % 44.44/44.66 (assume @p614 (forall @t230 (=> @t812 (=> @t197 @t811)))) % 44.44/44.66 (assume @p615 (forall @t429 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t801 @t813) @t446)))) % 44.44/44.66 (assume @p616 (forall @t435 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t802 @t814) @t446)))) % 44.44/44.66 (assume @p617 (forall @t459 (=> @t810 (=> @t815 @t140)))) % 44.44/44.66 (assume @p618 (forall @t457 (=> @t810 (=> @t816 @t140)))) % 44.44/44.66 (assume @p619 (forall @t228 (=> @t819 (=> @t140 @t818)))) % 44.44/44.66 (assume @p620 (forall @t230 (=> @t819 (=> @t140 @t815)))) % 44.44/44.66 (assume @p621 (forall @t230 (=> @t819 (=> @t140 @t816)))) % 44.44/44.66 (assume @p622 (forall @t429 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t801 @t813) @t432)))) % 44.44/44.66 (assume @p623 (forall @t435 (=> @t810 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t802 @t814) @t432)))) % 44.44/44.66 (assume @p624 (forall @t110 (=> @t689 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t72 @t98) @t72)))) % 44.44/44.66 (assume @p625 (forall @t110 (=> @t689 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t72 @t72) @t98)))) % 44.44/44.66 (assume @p626 (forall @t366 (=> @t748 (= @t262 @t820)))) % 44.44/44.66 (assume @p627 (forall @t366 (=> @t689 (= @t820 @t262)))) % 44.44/44.66 (assume @p628 (forall @t263 (=> @t821 (=> @t804 (= @t446 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t255 @t258)))))) % 44.44/44.66 (assume @p629 (forall @t263 (=> @t821 (=> @t804 (= @t432 (tptp.c_Orderings_Oord__class_Oless @t43 @t255 @t258)))))) % 44.44/44.66 (assume @p630 (forall @t110 (=> @t277 @t273))) % 44.44/44.66 (assume @p631 (forall @t110 (=> @t78 @t273))) % 44.44/44.66 (assume @p632 (forall @t110 (=> @t277 @t274))) % 44.44/44.66 (assume @p633 (forall @t110 (=> @t78 @t274))) % 44.44/44.66 (assume @p634 (forall @t377 (=> @t807 (= (= @t480 @t121) @t122)))) % 44.44/44.66 (assume @p635 (forall @t377 (=> @t689 (= (= @t480 @t98) @t122)))) % 44.44/44.66 (assume @p636 (forall @t377 (=> @t807 (= (= @t121 @t480) @t122)))) % 44.44/44.66 (assume @p637 (forall @t377 (=> @t689 (= (= @t98 @t480) (= @t98 @t121))))) % 44.44/44.66 (assume @p638 (forall @t100 (=> @t689 (= (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t98) @t98)))) % 44.44/44.66 (assume @p639 (forall @t366 (=> @t821 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t121 @t537) (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t157 @t480))))) % 44.44/44.66 (assume @p640 (forall @t366 (=> @t821 (= @t822 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t537 @t121))))) % 44.44/44.66 (assume @p641 (forall @t160 (=> @t821 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t537 @t480) @t446)))) % 44.44/44.66 (assume @p642 (forall @t223 (=> @t821 (=> @t197 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t535 @t498))))) % 44.44/44.66 (assume @p643 (forall @t223 (=> @t689 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t227 @t135) @t72)))) % 44.44/44.66 (assume @p644 (forall @t223 (=> @t689 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t317 @t135) @t72)))) % 44.44/44.66 (assume @p645 (forall @t160 (=> @t821 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t537 @t480) @t432)))) % 44.44/44.66 (assume @p646 (forall @t366 (=> @t821 (= @t481 (tptp.c_Orderings_Oord__class_Oless @t43 @t537 @t121))))) % 44.44/44.66 (assume @p647 (forall @t366 (=> @t821 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t121 @t537) (tptp.c_Orderings_Oord__class_Oless @t43 @t157 @t480))))) % 44.44/44.66 (assume @p648 (forall @t223 (=> @t748 (= @t823 (tptp.c_Groups_Oplus__class_Oplus @t43 @t498 @t535))))) % 44.44/44.66 (assume @p649 (forall @t223 (=> @t689 (= @t823 (tptp.c_Groups_Oplus__class_Oplus @t43 @t535 @t498))))) % 44.44/44.66 (assume @p650 (forall @t223 (=> @t689 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 (tptp.c_Groups_Oplus__class_Oplus @t43 @t498 @t135)) @t135)))) % 44.44/44.66 (assume @p651 (forall @t223 (=> @t689 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t498 @t227) @t135)))) % 44.44/44.66 (assume @p652 (forall @t223 (=> @t748 (= @t824 @t322)))) % 44.44/44.66 (assume @p653 (forall @t377 (=> @t793 (= (= @t482 @t98) @t122)))) % 44.44/44.66 (assume @p654 (forall @t100 (=> @t793 (= (tptp.c_Groups_Oabs__class_Oabs @t43 @t98) @t98)))) % 44.44/44.66 (assume @p655 (forall @t110 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t72 @t524)))) % 44.44/44.66 (assume @p656 (forall @t223 (=> @t793 (=> @t825 @t197)))) % 44.44/44.66 (assume @p657 (forall @t223 (=> @t793 (= (tptp.c_Groups_Oabs__class_Oabs @t43 @t791) @t791)))) % 44.44/44.66 (assume @p658 (forall @t223 (=> @t793 (= @t792 @t826)))) % 44.44/44.66 (assume @p659 (forall @t110 (=> @t793 (= (tptp.c_Groups_Oabs__class_Oabs @t43 @t498) @t524)))) % 44.44/44.66 (assume @p660 (forall @t223 (=> @t827 (=> @t393 (=> @t392 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t227 @t98)))))) % 44.44/44.66 (assume @p661 (forall (@list @t72 @t135 @t191 @t43) (=> @t827 (=> @t395 (=> @t406 @t828))))) % 44.44/44.66 (assume @p662 (forall @t230 (=> @t827 (=> @t139 (=> @t829 @t828))))) % 44.44/44.66 (assume @p663 (forall @t237 (=> @t827 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t111) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t165) (= @t688 @t713)))))) % 44.44/44.66 (assume @p664 (forall @t223 (=> @t827 (=> @t139 (=> @t171 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t227)))))) % 44.44/44.66 (assume @p665 (forall @t377 (=> @t807 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t806 @t98) @t385)))) % 44.44/44.66 (assume @p666 (forall @t377 (=> @t807 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t806) @t387)))) % 44.44/44.66 (assume @p667 (forall @t377 (=> @t807 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t806) @t445)))) % 44.44/44.66 (assume @p668 (forall @t377 (=> @t807 @t830))) % 44.44/44.66 (assume @p669 (forall @t223 (=> @t827 (=> @t134 @t832)))) % 44.44/44.66 (assume @p670 (forall @t223 (=> @t827 (=> @t420 @t834)))) % 44.44/44.66 (assume @p671 (forall @t228 (=> @t819 (=> @t197 @t818)))) % 44.44/44.66 (assume @p672 (forall @t228 (=> @t819 (=> @t140 (=> @t410 @t817))))) % 44.44/44.66 (assume @p673 (forall @t366 (=> @t821 (= @t446 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t336 @t98))))) % 44.44/44.66 (assume @p674 (forall @t366 (=> @t821 (= @t432 (tptp.c_Orderings_Oord__class_Oless @t43 @t336 @t98))))) % 44.44/44.66 (assume @p675 (forall @t377 (=> @t821 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t480) @t385)))) % 44.44/44.66 (assume @p676 (forall @t377 (=> @t807 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t121 @t480) @t385)))) % 44.44/44.66 (assume @p677 (forall @t377 (=> @t821 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t480 @t98) @t387)))) % 44.44/44.66 (assume @p678 (forall @t377 (=> @t807 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t480 @t121) @t387)))) % 44.44/44.66 (assume @p679 (forall @t377 (=> @t821 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t480) @t444)))) % 44.44/44.66 (assume @p680 (forall @t377 (=> @t821 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t480 @t98) @t445)))) % 44.44/44.66 (assume @p681 (forall @t377 (=> @t807 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t480 @t121) @t445)))) % 44.44/44.66 (assume @p682 (forall @t110 (=> @t689 (= (tptp.c_Groups_Oplus__class_Oplus @t43 @t72 @t498) @t98)))) % 44.44/44.66 (assume @p683 (forall @t366 (=> @t689 (= @t538 (= @t803 @t98))))) % 44.44/44.66 (assume @p684 (forall @t110 (=> @t689 @t835))) % 44.44/44.66 (assume @p685 (forall @t110 (=> @t748 @t835))) % 44.44/44.66 (assume @p686 (forall @t223 (=> @t689 (=> (= @t227 @t98) (= @t498 @t135))))) % 44.44/44.66 (assume @p687 (forall @t110 (=> @t689 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t98 @t72) @t498)))) % 44.44/44.66 (assume @p688 (forall @t110 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t98 @t524)))) % 44.44/44.66 (assume @p689 (forall @t377 (=> @t793 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t482 @t98) @t122)))) % 44.44/44.66 (assume @p690 (forall @t110 (=> @t793 (=> @t139 @t794)))) % 44.44/44.66 (assume @p691 (forall @t110 (=> @t793 (not (tptp.c_Orderings_Oord__class_Oless @t43 @t524 @t98))))) % 44.44/44.66 (assume @p692 (forall @t377 (=> @t793 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t482) (not @t122))))) % 44.44/44.66 (assume @p693 (forall @t110 (=> @t793 (=> @t134 @t794)))) % 44.44/44.66 (assume @p694 (forall @t223 (=> @t689 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t72 @t535) @t227)))) % 44.44/44.66 (assume @p695 (forall @t223 (=> @t748 @t836))) % 44.44/44.66 (assume @p696 (forall @t223 (=> @t689 @t836))) % 44.44/44.66 (assume @p697 (forall @t223 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq @t43 (tptp.c_Groups_Oabs__class_Oabs @t43 @t227) @t791)))) % 44.44/44.66 (assume @p698 (forall @t223 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t837 @t826)))) % 44.44/44.66 (assume @p699 (forall @t223 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t837 @t792)))) % 44.44/44.66 (assume @p700 (forall @t223 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq @t43 (tptp.c_Groups_Oabs__class_Oabs @t43 @t837) @t792)))) % 44.44/44.66 (assume @p701 (forall @t110 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t498 @t524)))) % 44.44/44.66 (assume @p702 (forall @t366 (=> @t793 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t482 @t157) (and @t446 @t822))))) % 44.44/44.66 (assume @p703 (forall @t223 (=> @t793 (=> @t197 (=> @t838 @t825))))) % 44.44/44.66 (assume @p704 (forall @t223 (=> @t793 (=> @t825 @t838)))) % 44.44/44.66 (assume @p705 (forall @t223 (=> @t827 (=> @t393 @t834)))) % 44.44/44.66 (assume @p706 (forall @t223 (=> @t827 (=> @t420 (=> @t392 @t833))))) % 44.44/44.66 (assume @p707 (forall @t230 (=> @t827 (=> @t139 @t438)))) % 44.44/44.66 (assume @p708 (forall @t230 (=> @t827 (=> @t134 (=> @t829 @t436))))) % 44.44/44.66 (assume @p709 (forall @t223 (=> @t827 (=> @t139 @t832)))) % 44.44/44.66 (assume @p710 (forall @t223 (=> @t827 (=> @t134 (=> @t171 @t831))))) % 44.44/44.66 (assume @p711 (forall @t110 (=> @t793 (=> @t393 @t795)))) % 44.44/44.66 (assume @p712 (forall @t110 (=> @t793 (tptp.c_Orderings_Oord__class_Oless__eq @t43 (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t524) @t98)))) % 44.44/44.66 (assume @p713 (forall @t110 (=> @t793 @t796))) % 44.44/44.66 (assume @p714 (forall (@list @t81 @t191 @t43) (=> @t565 (= (tptp.c_Groups_Oplus__class_Oplus @t579 (tptp.hAPP (tptp.hAPP @t747 (tptp.c_Polynomial_OpCons @t43 (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t191) @t789)) @t840) (tptp.c_Polynomial_OpCons @t43 @t839 @t580)) @t81)))) % 44.44/44.66 (assume @p715 (forall (@list @t37 @t135) (=> (not (= @t135 @t7)) (=> @t175 (exists @t19 (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 @t96 (tptp.hAPP (tptp.hAPP @t9 @t135) (tptp.hAPP @t711 @t37)))) @t41)))))) % 44.44/44.66 (assume @p716 (forall @t328 (= @t327 (or @t119 @t326)))) % 44.44/44.66 (assume @p717 (forall (@list @t191 @t43) (=> @t734 (= (tptp.c_Polynomial_Osynthetic__div @t43 @t580 @t191) @t580)))) % 44.44/44.66 (assume @p718 (forall (@list @t191 @t81 @t72 @t43) (=> @t734 (= (tptp.c_Polynomial_Osynthetic__div @t43 @t732 @t191) @t841)))) % 44.44/44.66 (assume @p719 (forall (@list @t191 @t81 @t43) (=> @t734 (= (tptp.c_Groups_Oplus__class_Oplus @t579 @t81 (tptp.c_Polynomial_Osmult @t43 @t191 @t840)) @t841)))) % 44.44/44.66 (assume @p720 (forall (@list @t189 @t80 @t191 @t81 @t43) (=> @t734 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t579 @t81 (tptp.c_Polynomial_Osmult @t43 @t191 @t80)) (tptp.c_Polynomial_OpCons @t43 @t189 @t80)) (and (= @t189 @t839) (= @t80 @t840)))))) % 44.44/44.66 (assume @p721 (forall @t842 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t697)) @t116))) % 44.44/44.66 (assume @p722 (forall @t756 (=> @t734 (= (tptp.c_Polynomial_Opcompose @t43 @t732 @t80) (tptp.c_Groups_Oplus__class_Oplus @t579 @t749 (tptp.hAPP @t772 @t843)))))) % 44.44/44.66 (assume @p723 (forall @t759 (=> @t734 (= (tptp.c_Polynomial_Opcompose @t43 @t580 @t80) @t580)))) % 44.44/44.66 (assume @p724 (forall @t776 (=> @t734 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t43 @t843) @t38) (tptp.hAPP @t745 @t775))))) % 44.44/44.66 (assume @p725 (forall @t377 (=> @t358 @t830))) % 44.44/44.66 (assume @p726 (forall @t100 (=> @t101 (exists @t847 (and @t846 @t845))))) % 44.44/44.66 (assume @p727 (forall @t328 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t848 (tptp.hAPP (tptp.hAPP @t849 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t111)) @t118)) (or (not (= @t111 @t848)) @t119)))) % 44.44/44.66 (assume @p728 (forall @t597 (= (tptp.hAPP @t850 @t596) (tptp.hAPP (tptp.hAPP @t852 @t851) (tptp.hAPP @t850 @t181))))) % 44.44/44.66 (assume @p729 (forall @t597 (= (tptp.hAPP (tptp.hAPP @t849 @t851) @t181) (tptp.hAPP @t850 (tptp.hAPP (tptp.hAPP @t148 @t54) @t181))))) % 44.44/44.66 (assume @p730 (forall @t377 (=> @t807 (= (= @t806 @t98) @t122)))) % 44.44/44.66 (assume @p731 (forall @t685 (=> (= @t182 @t41) (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 @t181 @t96)) @t41) (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 @t181 @t96)) @t41) (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 @t181 tptp.c_Complex_Oii)) @t41) (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 @t181 tptp.c_Complex_Oii)) @t41))))) % 44.44/44.66 (assume @p732 (forall (@list @t121 @t581 @t43) (=> @t539 (= (= (tptp.hAPP @t763 @t121) @t98) (or @t582 (not (= (tptp.c_Polynomial_Oorder @t43 @t121 @t581) @t20))))))) % 44.44/44.66 (assume @p733 (forall @t685 (= (tptp.hAPP @t854 @t853) @t181))) % 44.44/44.66 (assume @p734 (forall @t685 (= (tptp.hAPP (tptp.hAPP @t852 @t853) @t181) @t181))) % 44.44/44.66 (assume @p735 (forall @t543 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t848 @t186) (= (= (tptp.hAPP (tptp.hAPP @t852 @t186) @t118) @t853) (and (= @t186 @t853) (= @t118 @t853)))))) % 44.44/44.66 (assume @p736 (forall @t510 (=> @t856 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t848 @t483) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t855 @t323) (tptp.hAPP @t855 @t484)))))) % 44.44/44.66 (assume @p737 (forall @t479 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t852 @t75) @t37)) @t853) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t75) @t853)))) % 44.44/44.66 (assume @p738 (forall @t686 (= (tptp.hAPP (tptp.hAPP @t852 @t861) @t183) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t860 @t858)))) % 44.44/44.66 (assume @p739 (forall @t668 (= (tptp.hAPP (tptp.hAPP @t852 @t863) @t183) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t862)))) % 44.44/44.66 (assume @p740 (forall @t867 (= (tptp.hAPP @t864 @t861) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t866 @t865)))) % 44.44/44.66 (assume @p741 (forall @t40 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 (tptp.hAPP (tptp.hAPP @t849 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t38)) @t37)))) % 44.44/44.66 (assume @p742 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t848) @t848)) % 44.44/44.66 (assume @p743 (forall (@list @t323) (and (=> @t869 (= @t868 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t323))) (=> (not @t869) (= @t868 @t323))))) % 44.44/44.66 (assume @p744 (forall @t363 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t360 @t361) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t360 @t361) @t848)))) % 44.44/44.66 (assume @p745 (forall @t871 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t239 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t238 @t853)) @t870))) % 44.44/44.66 (assume @p746 (forall @t872 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t238) @t853) (= @t238 @t848)))) % 44.44/44.66 (assume @p747 (forall @t872 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t853 @t238) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t848 @t238)))) % 44.44/44.66 (assume @p748 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t848 @t853)) % 44.44/44.66 (assume @p749 (not (= @t848 @t853))) % 44.44/44.66 (assume @p750 (forall (@list @t239 @t238) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t238 @t239) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t238 @t239) (not (= @t238 @t239)))))) % 44.44/44.66 (assume @p751 (forall @t591 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t38 @t54) @t355 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t54 @t38)))) % 44.44/44.66 (assume @p752 (forall (@list @t181 @t874 @t183 @t875) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t875 @t183) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t874 @t181) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t875 @t874) @t873))))) % 44.44/44.66 (assume @p753 (forall @t510 (=> @t856 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t323 @t483) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t484 @t483))))) % 44.44/44.66 (assume @p754 (forall @t184 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t183 @t181) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t183 @t853) @t181)))) % 44.44/44.66 (assume @p755 (forall @t871 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t239 @t853) @t238) @t870))) % 44.44/44.66 (assume @p756 (forall @t871 (= @t876 (or @t870 (= @t239 @t238))))) % 44.44/44.66 (assume @p757 (forall @t871 (= @t876 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t239 @t238)))) % 44.44/44.66 (assume @p758 (forall @t685 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t877 @t181) @t848)))) % 44.44/44.66 (assume @p759 (forall @t872 (= (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 @t853 @t238) @t238) @t848) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t238 @t848)))) % 44.44/44.66 (assume @p760 (forall @t685 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 @t181) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t848 @t877)))) % 44.44/44.66 (assume @p761 (forall @t685 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t863 @t181) @t848))) % 44.44/44.66 (assume @p762 (forall @t685 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t181 @t848) @t181))) % 44.44/44.66 (assume @p763 (forall @t685 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t848 @t181) @t181))) % 44.44/44.66 (assume @p764 (forall @t668 (= @t862 (tptp.hAPP @t864 @t181)))) % 44.44/44.66 (assume @p765 (forall @t676 (= (tptp.hAPP (tptp.hAPP @t852 (tptp.hAPP @t859 @t672)) @t671) (tptp.hAPP @t859 (tptp.hAPP @t857 @t671))))) % 44.44/44.66 (assume @p766 (forall @t686 (= (tptp.hAPP (tptp.hAPP @t852 @t878) @t183) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t860 @t858)))) % 44.44/44.66 (assume @p767 (forall @t867 (= (tptp.hAPP @t864 @t878) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t866 @t865)))) % 44.44/44.66 (assume @p768 (not (= tptp.c_Complex_Oii @t96))) % 44.44/44.66 (assume @p769 (not (= tptp.c_Complex_Oii @t7))) % 44.44/44.66 (assume @p770 (forall @t648 (= (tptp.hAPP @t879 (tptp.hAPP @t879 @t38)) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t38)))) % 44.44/44.66 (assume @p771 (= (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))) % 44.44/44.66 (assume @p772 (= (tptp.hAPP @t879 tptp.c_Complex_Oii) @t474)) % 44.44/44.66 (assume @p773 (forall (@list @t181 @t38 @t188) (=> @t881 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t38 @t880) @t181)))) % 44.44/44.66 (assume @p774 (forall (@list @t38 @t181 @t188) (=> @t881 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t181 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 @t880))))) % 44.44/44.66 (assume @p775 (forall @t665 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t183 @t183))) % 44.44/44.66 (assume @p776 (forall @t668 (or @t883 @t882))) % 44.44/44.66 (assume @p777 (forall @t510 (=> @t884 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t484 @t483) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t323 @t483))))) % 44.44/44.66 (assume @p778 (forall @t668 (=> @t883 (=> @t882 @t669)))) % 44.44/44.66 (assume @p779 (forall @t510 (=> @t884 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t483 @t323) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t483 @t484))))) % 44.44/44.66 (assume @p780 (forall @t676 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t878 @t671) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t674 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t672 @t671))))) % 44.44/44.66 (assume @p781 (forall @t597 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t54 @t181)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t54 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 @t181))))) % 44.44/44.66 (assume @p782 (forall @t668 (= @t885 @t873))) % 44.44/44.66 (assume @p783 (forall @t668 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t885) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t863 @t886)))) % 44.44/44.66 (assume @p784 (forall @t668 (= @t888 @t887))) % 44.44/44.66 (assume @p785 (forall @t668 (= @t887 @t888))) % 44.44/44.66 (assume @p786 (forall @t685 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t863) @t181))) % 44.44/44.66 (assume @p787 (forall @t891 (=> @t890 (=> @t889 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t189 @t72) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t853 @t80)))))) % 44.44/44.66 (assume @p788 (forall @t891 (=> @t890 (=> @t889 (=> @t892 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t80 @t853)))))) % 44.44/44.66 (assume @p789 (forall @t899 (=> @t898 (=> @t896 (=> @t894 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 @t893)))))) % 44.44/44.66 (assume @p790 (forall @t899 (=> @t901 (=> @t900 (=> @t894 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t893 @t848)))))) % 44.44/44.66 (assume @p791 (forall @t907 (=> @t906 (=> @t900 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t895 @t135) (=> @t903 @t902)))))) % 44.44/44.66 (assume @p792 (forall @t911 (=> @t910 (=> @t898 (=> @t896 (=> @t892 (=> @t894 (=> @t909 @t908)))))))) % 44.44/44.66 (assume @p793 (forall @t907 (=> @t906 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t189 @t848) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t135 @t189) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t135 @t895) @t908)))))) % 44.44/44.66 (assume @p794 (forall @t911 (=> @t910 (=> @t901 (=> @t903 (=> @t900 (=> @t894 (=> @t909 @t902)))))))) % 44.44/44.66 (assume @p795 (forall @t40 (=> @t912 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 (tptp.hAPP @t850 @t37))))) % 44.44/44.66 (assume @p796 (forall @t591 (=> @t912 (=> @t913 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 (tptp.hAPP (tptp.hAPP @t852 @t38) @t54)))))) % 44.44/44.66 (assume @p797 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 @t848)) % 44.44/44.66 (assume @p798 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 @t853)) % 44.44/44.66 (assume @p799 (forall @t591 (=> @t912 (=> @t913 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t38 @t54)))))) % 44.44/44.66 (assume @p800 (not (forall @t473 (=> @t472 (not @t471))))) % 44.44/44.66 (assume @p801 (forall @t106 (=> @t914 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t38 @t38)))) % 44.44/44.66 (assume @p802 (forall @t62 (=> @t917 (=> (not @t916) @t915)))) % 44.44/44.66 (assume @p803 (forall (@list @t111 @t1 @t2 @t43 @t180) (=> @t920 (=> @t919 (tptp.c_Orderings_Oord__class_Oless__eq @t180 (tptp.hAPP @t2 @t111) (tptp.hAPP @t1 @t111)))))) % 44.44/44.66 (assume @p804 (forall @t923 (=> @t922 (=> @t915 (=> @t921 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t181 @t38)))))) % 44.44/44.66 (assume @p805 (forall @t924 (=> @t922 (=> @t915 (=> @t916 @t355))))) % 44.44/44.66 (assume @p806 (forall @t269 (=> @t914 (=> @t916 (=> @t925 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t38 @t181)))))) % 44.44/44.66 (assume @p807 (forall @t62 (=> @t922 (=> @t916 (=> @t915 @t355))))) % 44.44/44.66 (assume @p808 (forall @t407 (=> @t922 (=> @t406 (=> @t797 @t926))))) % 44.44/44.66 (assume @p809 (forall @t230 (=> @t928 (=> @t197 (=> @t797 @t927))))) % 44.44/44.66 (assume @p810 (forall @t230 (=> @t922 (=> @t192 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t191 @t135) @t926))))) % 44.44/44.66 (assume @p811 (forall @t230 (=> @t928 (=> @t192 (=> @t829 @t927))))) % 44.44/44.66 (assume @p812 (forall @t932 (=> @t922 (=> @t931 @t930)))) % 44.44/44.66 (assume @p813 (forall @t62 (=> @t914 (=> @t355 @t916)))) % 44.44/44.66 (assume @p814 (forall @t237 (=> @t922 (= @t236 (and @t929 @t931))))) % 44.44/44.66 (assume @p815 (forall @t62 (=> @t917 (or @t916 @t915)))) % 44.44/44.66 (assume @p816 (forall @t933 (=> @t920 (= @t919 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t180 @t5 @t4)))))) % 44.44/44.66 (assume @p817 (forall @t106 (=> @t914 (not (tptp.c_Orderings_Oord__class_Oless @t43 @t38 @t38))))) % 44.44/44.66 (assume @p818 (forall @t237 (=> @t917 (= @t677 (or @t935 @t934))))) % 44.44/44.66 (assume @p819 (forall @t237 (=> @t917 (= @t936 (or @t934 @t236))))) % 44.44/44.66 (assume @p820 (forall @t62 (=> @t917 (or @t353 @t355 @t352)))) % 44.44/44.66 (assume @p821 (forall @t932 (=> @t917 (=> (not @t934) @t937)))) % 44.44/44.66 (assume @p822 (forall @t62 (=> @t917 @t357))) % 44.44/44.66 (assume @p823 (forall @t62 (=> @t922 (=> @t353 @t356)))) % 44.44/44.66 (assume @p824 (forall @t62 (=> @t914 (=> @t353 (not @t352))))) % 44.44/44.66 (assume @p825 (forall @t62 (=> @t922 (=> @t353 (not (= @t54 @t38)))))) % 44.44/44.66 (assume @p826 (forall @t223 (=> @t914 (=> @t140 (not @t413))))) % 44.44/44.66 (assume @p827 (forall @t431 (=> @t922 (=> @t413 (not @t140))))) % 44.44/44.66 (assume @p828 (forall @t230 (=> @t928 (=> @t192 (=> @t437 @t938))))) % 44.44/44.66 (assume @p829 (forall @t230 (=> @t922 (=> @t192 (=> (tptp.c_Orderings_Oord__class_Oless @t43 @t191 @t135) @t939))))) % 44.44/44.66 (assume @p830 (forall @t230 (=> @t928 (=> @t140 (=> @t797 @t938))))) % 44.44/44.66 (assume @p831 (forall @t407 (=> @t922 (=> @t413 (=> @t797 @t939))))) % 44.44/44.66 (assume @p832 (forall @t269 (=> @t914 (=> @t353 @t941)))) % 44.44/44.66 (assume @p833 (forall @t923 (=> @t922 (=> @t352 @t943)))) % 44.44/44.66 (assume @p834 (forall @t62 (=> @t917 (=> @t354 (=> @t356 @t352))))) % 44.44/44.66 (assume @p835 (forall @t923 (=> @t922 (=> @t915 @t943)))) % 44.44/44.66 (assume @p836 (forall @t269 (=> @t914 (=> @t916 @t941)))) % 44.44/44.66 (assume @p837 (forall @t923 (=> @t922 (=> @t352 (=> @t921 @t942))))) % 44.44/44.66 (assume @p838 (forall @t269 (=> @t914 (=> @t353 (=> @t925 @t940))))) % 44.44/44.66 (assume @p839 (forall @t431 (=> @t922 (=> @t406 (=> @t944 @t413))))) % 44.44/44.66 (assume @p840 (forall @t223 (=> @t922 (=> @t197 (=> @t944 @t140))))) % 44.44/44.66 (assume @p841 (forall @t62 (=> @t922 (=> @t916 (or @t353 @t355))))) % 44.44/44.66 (assume @p842 (forall @t237 (=> @t917 (=> @t929 @t937)))) % 44.44/44.66 (assume @p843 (forall @t62 (=> @t914 (=> @t353 @t916)))) % 44.44/44.66 (assume @p844 (forall @t924 (=> @t917 (=> @t915 @t354)))) % 44.44/44.66 (assume @p845 (forall @t223 (=> @t922 (=> @t944 (=> @t406 @t413))))) % 44.44/44.66 (assume @p846 (forall @t223 (=> @t922 (=> @t944 (=> @t197 @t140))))) % 44.44/44.66 (assume @p847 (forall @t237 (=> @t917 (=> @t936 @t930)))) % 44.44/44.66 (assume @p848 (forall @t924 (=> @t917 (=> (not @t915) @t353)))) % 44.44/44.66 (assume @p849 (forall @t62 (=> @t917 (=> @t354 @t915)))) % 44.44/44.66 (assume @p850 (forall @t237 (=> @t922 (= @t929 (or @t935 @t236))))) % 44.44/44.66 (assume @p851 (forall @t237 (=> @t914 (= @t935 (and @t929 (not @t931)))))) % 44.44/44.66 (assume @p852 (forall @t237 (=> @t922 (= @t935 (and @t929 @t677))))) % 44.44/44.66 (assume @p853 (forall @t62 (=> @t917 (or @t916 @t352)))) % 44.44/44.66 (assume @p854 (forall @t237 (=> @t917 (= (not @t929) @t934)))) % 44.44/44.66 (assume @p855 (forall @t237 (=> @t917 (= @t936 @t931)))) % 44.44/44.66 (assume @p856 (exists (@list @t622 @t945) (and (not (= @t945 @t7)) (not (= @t622 @t20)) (exists @t646 (and (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t644 @t622) @t21) @t652) (forall @t19 (= @t710 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t709 (tptp.hAPP (tptp.hAPP @t9 (tptp.hAPP @t711 @t622)) (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t945 @t642)) @t15)))))))))) % 44.44/44.66 (assume @p857 (forall @t648 (=> @t477 (= (tptp.c_RComplete_Onatceiling @t947) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t946 @t21))))) % 44.44/44.66 (assume @p858 (forall @t933 (=> @t920 (= (tptp.c_Orderings_Oord__class_Oless @t918 @t2 @t1) (and @t919 (not (tptp.c_Orderings_Oord__class_Oless__eq @t918 @t1 @t2))))))) % 44.44/44.66 (assume @p859 (= (tptp.c_RComplete_Onatceiling @t90) @t20)) % 44.44/44.66 (assume @p860 (forall @t648 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t20 @t946))) % 44.44/44.66 (assume @p861 (forall @t591 (=> @t684 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t946 (tptp.c_RComplete_Onatceiling @t54))))) % 44.44/44.66 (assume @p862 (= (tptp.c_RComplete_Onatceiling @t41) @t21)) % 44.44/44.66 (assume @p863 (forall @t648 (=> @t948 (= @t946 @t20)))) % 44.44/44.66 (assume @p864 (forall @t842 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t949 @t21) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t111 @t41)))) % 44.44/44.66 (assume @p865 (forall @t100 (=> @t128 (= @t46 (tptp.c_Power_Opower_Opower @t43 @t86 @t57))))) % 44.44/44.66 (assume @p866 (forall @t100 (=> @t101 (exists @t847 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90 @t844) @t845))))) % 44.44/44.66 (assume @p867 (forall (@list @t121 @t951 @t950 @t43) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower @t43 @t950 @t951) @t121) @t20) @t950))) % 44.44/44.66 (assume @p868 (forall (@list @t953 @t952 @t43 @t180) (=> (and (tptp.class_RealVector_Oreal__normed__vector @t180) @t928) (=> (forall @t362 (=> @t956 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t180 (tptp.c_Groups_Ominus__class_Ominus @t180 @t954 @t955)) @t41))) (forall @t362 (=> @t956 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t180 @t955) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t41 (tptp.c_RealVector_Onorm__class_Onorm @t180 @t954))))))))) % 44.44/44.66 (assume @p869 (forall @t155 (=> @t61 (exists @t847 (and @t846 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t43 (tptp.hAPP (tptp.hAPP @t57 @t3) @t54)) @t957))))))) % 44.44/44.66 (assume @p870 (forall @t100 (=> @t61 (exists @t847 (and @t846 (forall (@list @t945 @t958) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t43 (tptp.hAPP (tptp.hAPP @t57 @t945) @t958)) (tptp.hAPP (tptp.hAPP @t25 (tptp.hAPP (tptp.hAPP @t25 (tptp.c_RealVector_Onorm__class_Onorm @t43 @t945)) (tptp.c_RealVector_Onorm__class_Onorm @t43 @t958))) @t844)))))))) % 44.44/44.66 (assume @p871 (forall @t106 (=> @t61 (exists @t847 (and @t846 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t43 (tptp.hAPP @t58 @t3)) @t957))))))) % 44.44/44.66 (assume @p872 (not (forall @t646 (=> @t645 (not @t643))))) % 44.44/44.66 (assume @p873 (forall @t648 (=> @t477 (= (tptp.c_RComplete_Onatfloor @t947) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t959 @t21))))) % 44.44/44.66 (assume @p874 (= (tptp.c_RComplete_Onatfloor @t90) @t20)) % 44.44/44.66 (assume @p875 (= (tptp.c_RComplete_Onatfloor @t41) @t21)) % 44.44/44.66 (assume @p876 (forall @t591 (=> @t684 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t959 (tptp.c_RComplete_Onatfloor @t54))))) % 44.44/44.66 (assume @p877 (forall @t648 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t20 @t959))) % 44.44/44.66 (assume @p878 (forall @t648 (=> @t948 (= @t959 @t20)))) % 44.44/44.66 (assume @p879 (forall @t842 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t21 @t960) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t41 @t111)))) % 44.44/44.66 (assume @p880 (forall (@list @t135 @t72) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90 @t72) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90 @t135) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t148 @t961) (tptp.c_RComplete_Onatfloor @t135)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t25 @t72) @t135))))))) % 44.44/44.66 (assume @p881 (forall @t965 (and @t964 (=> (not @t963) (= @t962 @t848))))) % 44.44/44.66 (assume @p882 (forall @t597 (=> @t967 @t966))) % 44.44/44.66 (assume @p883 (forall @t591 (=> @t912 (=> @t913 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t848 @t962))))) % 44.44/44.66 (assume @p884 (forall @t965 @t964)) % 44.44/44.66 (assume @p885 (forall @t969 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t38 @t181) @t968))) % 44.44/44.66 (assume @p886 (forall @t597 (=> @t590 @t968))) % 44.44/44.66 (assume @p887 (forall @t591 (=> @t590 @t967))) % 44.44/44.66 (assume @p888 (forall @t969 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t181) @t966))) % 44.44/44.66 (assume @p889 (forall @t972 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t970 @t38) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t971) (= @t946 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t37 @t21)))))) % 44.44/44.66 (assume @p890 (forall @t788 (=> @t358 (= (tptp.c_Polynomial_Opos__poly @t43 @t765) (or (tptp.c_Polynomial_Opos__poly @t43 @t581) (and @t582 @t445)))))) % 44.44/44.66 (assume @p891 (forall @t475 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90 @t970))) % 44.44/44.66 (assume @p892 (forall @t506 (=> @t554 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t478) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t973 @t970))))) % 44.44/44.66 (assume @p893 (forall @t542 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t975 @t974) @t588))) % 44.44/44.66 (assume @p894 (forall @t475 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t970 @t90)))) % 44.44/44.66 (assume @p895 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t20) @t90)) % 44.44/44.66 (assume @p896 (forall @t600 (= (= @t975 @t90) @t119))) % 44.44/44.66 (assume @p897 (forall @t479 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t151) (tptp.hAPP (tptp.hAPP @t25 @t973) @t970)))) % 44.44/44.66 (assume @p898 (forall @t100 (=> @t358 (not (tptp.c_Polynomial_Opos__poly @t43 @t580))))) % 44.44/44.66 (assume @p899 (forall @t479 (= @t977 @t976))) % 44.44/44.66 (assume @p900 (forall @t479 (= @t976 @t977))) % 44.44/44.66 (assume @p901 (forall @t648 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t978) @t978))) % 44.44/44.66 (assume @p902 (forall @t981 (=> @t358 (=> @t980 (=> @t979 (tptp.c_Polynomial_Opos__poly @t43 @t751)))))) % 44.44/44.66 (assume @p903 (forall @t542 (= (= @t975 @t974) (= @t118 @t186)))) % 44.44/44.66 (assume @p904 (forall @t981 (=> @t358 (=> @t980 (=> @t979 (tptp.c_Polynomial_Opos__poly @t43 @t773)))))) % 44.44/44.66 (assume @p905 (forall @t479 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t77) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t973 @t970)))) % 44.44/44.66 (assume @p906 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t21) @t41)) % 44.44/44.66 (assume @p907 (forall @t600 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t975 @t90) @t119))) % 44.44/44.66 (assume @p908 (forall @t648 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t946)))) % 44.44/44.66 (assume @p909 (forall @t542 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t975 @t974) @t982))) % 44.44/44.66 (assume @p910 (forall @t237 (=> @t358 (= (tptp.c_Orderings_Oord__class_Oless__eq @t579 @t111 @t165) (or @t236 @t983))))) % 44.44/44.66 (assume @p911 (forall @t475 (= (tptp.c_RComplete_Onatceiling @t970) @t37))) % 44.44/44.66 (assume @p912 (forall @t475 (= (tptp.c_RComplete_Onatfloor @t970) @t37))) % 44.44/44.66 (assume @p913 (forall @t648 (=> @t477 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t984 @t38)))) % 44.44/44.66 (assume @p914 (forall @t985 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t978 @t72) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t38 @t961)))) % 44.44/44.66 (assume @p915 (forall @t985 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t38 @t986) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t946 @t72)))) % 44.44/44.66 (assume @p916 (forall @t40 (=> (= @t38 @t984) (= (tptp.c_RComplete_Onatfloor @t39) (tptp.hAPP (tptp.hAPP @t324 @t959) @t37))))) % 44.44/44.66 (assume @p917 (forall @t600 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t975) @t599))) % 44.44/44.66 (assume @p918 (forall @t542 (= @t588 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t975 @t41) @t974)))) % 44.44/44.66 (assume @p919 (forall @t542 (= @t982 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t975 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t974 @t41))))) % 44.44/44.66 (assume @p920 (forall @t657 (=> @t988 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t121 @t960) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t987 @t111))))) % 44.44/44.66 (assume @p921 (forall @t760 (=> @t358 (or @t731 @t980 (tptp.c_Polynomial_Opos__poly @t43 @t768))))) % 44.44/44.66 (assume @p922 (forall @t657 (=> @t988 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t949 @t121) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t111 @t987))))) % 44.44/44.66 (assume @p923 (forall @t648 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t984 @t41)))) % 44.44/44.66 (assume @p924 (forall @t991 (=> @t990 (= (tptp.c_RComplete_Onatfloor @t989) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t959 @t72))))) % 44.44/44.66 (assume @p925 (forall @t648 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t38 @t41) @t984))) % 44.44/44.66 (assume @p926 (forall @t991 (=> @t990 (= (tptp.c_RComplete_Onatceiling @t989) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t946 @t72))))) % 44.44/44.66 (assume @p927 (forall @t40 (=> @t477 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t970) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t959 @t37))))) % 44.44/44.66 (assume @p928 (forall @t985 (=> @t477 (= (tptp.c_RComplete_Onatfloor @t992) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t959 @t72))))) % 44.44/44.66 (assume @p929 (forall (@list @t37 @t181) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_RComplete_Onatfloor @t181) @t21) @t37) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t181 @t970)))) % 44.44/44.66 (assume @p930 (forall @t972 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t970 @t38) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t38 @t971) (= @t959 @t37))))) % 44.44/44.66 (assume @p931 (forall @t985 (=> @t477 (= (tptp.c_RComplete_Onatceiling @t992) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t946 @t72))))) % 44.44/44.66 (assume @p932 (forall @t237 (=> @t358 (= (tptp.c_Orderings_Oord__class_Oless @t579 @t111 @t165) @t983)))) % 44.44/44.66 (assume @p933 (forall @t40 (=> @t477 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t25 @t970) @t38) @t41) (tptp.hAPP (tptp.hAPP @t23 @t947) @t37))))) % 44.44/44.66 (assume @p934 (forall @t516 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t90 @t189) (exists @t362 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t359 @t21)) @t189) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t189 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t359))))))) % 44.44/44.66 (assume @p935 (forall @t223 (=> @t748 (= (tptp.c_Groups_Ominus__class_Ominus @t43 @t498 @t535) @t824)))) % 44.44/44.66 (assume @p936 (forall (@list @t953 @t43) (=> @t922 (= (tptp.c_SEQ_Odecseq @t43 @t953) (forall (@list @t470 @t359) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t470 @t359) (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t955 (tptp.hAPP @t953 @t470)))))))) % 44.44/44.66 (assume @p937 (forall (@list @t81 @t181 @t375) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t375) (exists @t572 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t568) (forall @t311 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t90 @t994) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t994 @t568)) (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 (tptp.hAPP @t993 @t309) (tptp.hAPP @t993 @t181))) @t375)))))))) % 44.44/44.66 (assume @p938 (forall @t62 (=> @t995 (=> @t916 (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t567 @t531))))) % 44.44/44.66 (assume @p939 (forall @t237 (=> @t995 (= (tptp.c_Orderings_Oord__class_Oless__eq @t43 @t687 @t996) @t931)))) % 44.44/44.66 (assume @p940 (forall (@list @t111 @t997 @t998 @t180 @t43) (=> (tptp.class_Groups_Ominus @t43) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t1000 @t998 @t997) @t111) (tptp.c_Groups_Ominus__class_Ominus @t43 @t999 (tptp.hAPP @t997 @t111)))))) % 44.44/44.66 (assume @p941 (forall @t110 (=> @t1001 (= @t382 @t72)))) % 44.44/44.66 (assume @p942 (forall @t106 (=> @t1001 (= @t698 @t38)))) % 44.44/44.66 (assume @p943 (forall @t223 (=> @t1001 (= (tptp.hAPP @t152 @t222) @t222)))) % 44.44/44.66 (assume @p944 (forall @t106 (=> @t995 (= (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t531) @t38)))) % 44.44/44.66 (assume @p945 (forall (@list @t111 @t998 @t180 @t43) (=> (tptp.class_Groups_Ouminus @t43) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t1000 @t998) @t111) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t999))))) % 44.44/44.66 (assume @p946 (forall @t237 (=> @t995 (= (= @t687 @t996) @t236)))) % 44.44/44.66 (assume @p947 (forall @t100 (=> @t101 (exists @t847 @t845)))) % 44.44/44.66 (assume @p948 (forall @t106 (=> @t358 (and (=> @t1004 (= @t1002 @t580)) (=> (not @t1004) (and (=> @t1003 (= @t1002 @t777)) (=> (not @t1003) (= @t1002 (tptp.c_Groups_Ouminus__class_Ouminus @t579 @t777))))))))) % 44.44/44.66 (assume @p949 (forall @t377 (=> @t358 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t1005 @t98) @t444)))) % 44.44/44.66 (assume @p950 (forall @t377 (=> @t358 (= (tptp.c_Orderings_Oord__class_Oless @t43 @t98 @t1005) @t445)))) % 44.44/44.66 (assume @p951 (forall (@list @t483 @t43) (=> @t358 (= @t1006 (tptp.hAPP (tptp.hAPP @t57 @t483) (tptp.c_Groups_Osgn__class_Osgn @t43 @t483)))))) % 44.44/44.66 (assume @p952 (forall @t106 (=> @t358 (= (tptp.hAPP @t1008 (tptp.c_Groups_Oabs__class_Oabs @t43 @t38)) @t38)))) % 44.44/44.66 (assume @p953 (forall @t62 (=> @t65 (= (tptp.c_Groups_Osgn__class_Osgn @t43 @t59) (tptp.hAPP @t1008 (tptp.c_Groups_Osgn__class_Osgn @t43 @t54)))))) % 44.44/44.66 (assume @p954 (forall @t223 (=> @t358 (= (tptp.c_Groups_Osgn__class_Osgn @t43 @t222) (tptp.hAPP (tptp.hAPP @t57 @t1009) (tptp.c_Groups_Osgn__class_Osgn @t43 @t135)))))) % 44.44/44.66 (assume @p955 (forall @t377 (=> @t358 (= (= @t1005 @t98) @t122)))) % 44.44/44.66 (assume @p956 (forall @t115 (=> @t71 (= (= (tptp.c_Groups_Osgn__class_Osgn @t43 @t111) @t98) @t112)))) % 44.44/44.66 (assume @p957 (forall @t100 (=> @t71 @t1010))) % 44.44/44.66 (assume @p958 (forall @t100 (=> @t1011 @t1010))) % 44.44/44.66 (assume @p959 (forall @t578 (=> @t50 (= (tptp.c_Groups_Osgn__class_Osgn @t43 @t577) (tptp.c_RealVector_Oof__real @t43 (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t189)))))) % 44.44/44.66 (assume @p960 (forall @t110 (=> @t358 (= (tptp.c_Groups_Osgn__class_Osgn @t43 @t1009) @t1009)))) % 44.44/44.66 (assume @p961 (forall @t100 (=> @t50 (= (tptp.c_Groups_Osgn__class_Osgn @t43 @t86) @t86)))) % 44.44/44.66 (assume @p962 (forall @t106 (=> @t71 (= (tptp.c_Groups_Osgn__class_Osgn @t43 @t531) (tptp.c_Groups_Ouminus__class_Ouminus @t43 @t1007))))) % 44.44/44.66 (assume @p963 (forall @t110 (=> @t358 (=> @t134 (= @t1009 @t86))))) % 44.44/44.66 (assume @p964 (forall @t377 (=> @t358 (= (= @t1005 @t86) @t445)))) % 44.44/44.66 (assume @p965 (forall @t110 (=> @t358 (=> @t420 (= @t1009 @t564))))) % 44.44/44.66 (assume @p966 (forall @t377 (=> @t358 (= (= @t1005 @t564) @t444)))) % 44.44/44.66 (assume @p967 (forall @t106 (=> @t1011 (and (=> @t302 (= @t1007 @t98)) (=> @t1013 (and (=> @t1012 (= @t1007 @t86)) (=> (not @t1012) (= @t1007 @t564)))))))) % 44.44/44.66 (assume @p968 (forall @t106 (=> @t71 (and (=> @t302 (= @t1014 @t90)) (=> @t1013 (= @t1014 @t41)))))) % 44.44/44.66 (assume @p969 (forall @t770 (=> @t539 (tptp.c_Rings_Odvd__class_Odvd @t579 (tptp.hAPP (tptp.hAPP @t778 (tptp.c_Polynomial_OpCons @t43 @t498 @t789)) (tptp.c_Polynomial_Oorder @t43 @t72 @t81)) @t81)))) % 44.44/44.66 (assume @p970 (forall (@list @t1015 @t81 @t72 @t43) (=> @t734 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t43 @t732 @t1015) (tptp.c_Groups_Oplus__class_Oplus @t579 (tptp.c_Polynomial_Osmult @t43 @t1015 @t1016) (tptp.c_Polynomial_OpCons @t43 @t72 @t1016)))))) % 44.44/44.66 (assume @p971 (forall @t110 (=> @t84 (tptp.c_Rings_Odvd__class_Odvd @t43 @t72 @t98)))) % 44.44/44.66 (assume @p972 (forall @t237 (=> @t565 (= (tptp.c_Rings_Odvd__class_Odvd @t43 @t687 @t165) @t1017)))) % 44.44/44.66 (assume @p973 (forall @t237 (=> @t565 (= (tptp.c_Rings_Odvd__class_Odvd @t43 @t111 @t996) @t1017)))) % 44.44/44.66 (assume @p974 (forall @t269 (=> @t565 (=> @t1018 (=> (tptp.c_Rings_Odvd__class_Odvd @t43 @t38 @t181) (tptp.c_Rings_Odvd__class_Odvd @t43 @t38 (tptp.c_Groups_Ominus__class_Ominus @t43 @t54 @t181))))))) % 44.44/44.66 (assume @p975 (forall (@list @t1019 @t1020 @t258 @t43) (=> (and @t769 @t1021) (=> (tptp.c_Rings_Odvd__class_Odvd @t43 @t258 @t1020) (forall (@list @t3 @t622) (= (tptp.c_Rings_Odvd__class_Odvd @t43 @t258 (tptp.c_Groups_Oplus__class_Oplus @t43 @t3 @t1019)) (tptp.c_Rings_Odvd__class_Odvd @t43 @t258 (tptp.c_Groups_Oplus__class_Oplus @t43 (tptp.c_Groups_Ominus__class_Ominus @t43 @t3 (tptp.hAPP (tptp.hAPP @t57 @t622) @t1020)) @t1019)))))))) % 44.44/44.66 (assume @p976 (forall (@list @t361 @t569 @t43) (=> (and @t1021 @t176) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t569 (tptp.hAPP (tptp.hAPP @t57 @t361) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t43 @t361 (tptp.c_Groups_Oplus__class_Oplus @t43 @t3 @t98)) (tptp.hBOOL (tptp.hAPP @t569 @t3)))))))) % 44.44/44.66 (assume @p977 (forall @t110 (=> @t84 (tptp.c_Rings_Odvd__class_Odvd @t43 @t86 @t72)))) % 44.44/44.66 (assume @p978 (forall @t230 (=> @t84 (=> @t1023 (=> @t1022 (tptp.c_Rings_Odvd__class_Odvd @t43 @t72 @t231)))))) % 44.44/44.66 (assume @p979 (forall (@list @t1024 @t581 @t43) (=> @t734 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t43 @t581 @t1024) @t580) @t582)))) % 44.44/44.66 (assume @p980 (forall (@list @t1015 @t43) (=> @t734 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t43 @t580 @t1015) @t580)))) % 44.44/44.66 (assume @p981 (forall @t756 (=> @t84 (=> (tptp.c_Rings_Odvd__class_Odvd @t579 @t753 @t80) @t1025)))) % 44.44/44.66 (assume @p982 (forall (@list @t72 @t80 @t81 @t43) (=> @t84 (=> @t1025 (tptp.c_Rings_Odvd__class_Odvd @t579 @t81 @t755))))) % 44.44/44.66 (assume @p983 (forall @t230 (=> @t84 (=> @t1023 (=> (tptp.c_Rings_Odvd__class_Odvd @t43 @t135 @t191) @t1022))))) % 44.44/44.66 (assume @p984 (forall @t110 (=> @t84 (tptp.c_Rings_Odvd__class_Odvd @t43 @t72 @t72)))) % 44.44/44.66 (assume @p985 (forall (@list @t37 @t54 @t38 @t43) (=> @t84 (=> @t1018 (tptp.c_Rings_Odvd__class_Odvd @t43 @t48 (tptp.hAPP @t275 @t37)))))) % 44.44/44.66 (assume @p986 (forall @t1027 (=> @t358 (= (tptp.c_Rings_Odvd__class_Odvd @t43 @t186 (tptp.c_Groups_Oabs__class_Oabs @t43 @t360)) @t1026)))) % 44.44/44.66 (assume @p987 (forall @t1027 (=> @t358 (= (tptp.c_Rings_Odvd__class_Odvd @t43 (tptp.c_Groups_Oabs__class_Oabs @t43 @t186) @t360) @t1026)))) % 44.44/44.66 (assume @p988 (forall (@list @t483 @t485 @t43) (=> @t358 (=> (= (tptp.c_Groups_Oabs__class_Oabs @t43 @t485) @t1006) (tptp.c_Rings_Odvd__class_Odvd @t43 @t485 @t483))))) % 44.44/44.66 (assume @p989 (forall @t1031 (=> @t1030 (tptp.class_Groups_Ocancel__comm__monoid__add @t1029)))) % 44.44/44.66 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p991 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p992 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p993 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p994 (forall @t1034 (=> (tptp.class_Lattices_Oboolean__algebra @t1028) (tptp.class_Lattices_Oboolean__algebra @t1033)))) % 44.44/44.66 (assume @p995 (forall @t1034 (=> (tptp.class_Orderings_Opreorder @t1028) (tptp.class_Orderings_Opreorder @t1033)))) % 44.44/44.66 (assume @p996 (forall @t1034 (=> (tptp.class_Orderings_Oorder @t1028) (tptp.class_Orderings_Oorder @t1033)))) % 44.44/44.66 (assume @p997 (forall @t1034 (=> (tptp.class_Orderings_Oord @t1028) (tptp.class_Orderings_Oord @t1033)))) % 44.44/44.66 (assume @p998 (forall @t1034 (=> (tptp.class_Groups_Ouminus @t1028) (tptp.class_Groups_Ouminus @t1033)))) % 44.44/44.66 (assume @p999 (forall @t1034 (=> (tptp.class_Groups_Ominus @t1028) (tptp.class_Groups_Ominus @t1033)))) % 44.44/44.66 (assume @p1000 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1001 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1002 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1003 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1004 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1005 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1006 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1007 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1008 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1009 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1010 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1011 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1012 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1013 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1014 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1015 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1016 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1017 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1018 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1019 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1020 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1021 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1022 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1023 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1024 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1025 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1026 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1027 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1028 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1029 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1030 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1031 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1032 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1033 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1034 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1035 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1036 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1037 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1038 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1039 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1040 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1041 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1042 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1043 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1044 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1045 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1046 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1047 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1048 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1049 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1050 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1051 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1052 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1053 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1054 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1055 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1056 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1057 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1058 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1059 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 44.44/44.66 (assume @p1060 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1061 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1062 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1063 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1064 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1065 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1066 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1067 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1068 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1069 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1070 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1071 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1072 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1073 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1074 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1075 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1076 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1077 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1078 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1079 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1080 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1081 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1082 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1083 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1084 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1085 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1086 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1087 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1088 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1089 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1090 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1091 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1092 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1093 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1094 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1095 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1096 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 44.44/44.66 (assume @p1097 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 44.44/44.66 (assume @p1098 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 44.44/44.66 (assume @p1099 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 44.44/44.66 (assume @p1100 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 44.44/44.66 (assume @p1101 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 44.44/44.66 (assume @p1102 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 44.44/44.66 (assume @p1103 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1104 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1105 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1106 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1107 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1108 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1109 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1110 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1111 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1112 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1113 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1114 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1115 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1116 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1117 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1118 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1119 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1120 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1121 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1122 @t1035) % 44.44/44.66 (assume @p1123 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1124 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1125 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1126 (tptp.class_RealVector_Oreal__div__algebra tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1127 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1128 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1129 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1130 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1131 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1132 @t1036) % 44.44/44.66 (assume @p1133 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1134 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1135 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1136 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1137 @t1037) % 44.44/44.66 (assume @p1138 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1139 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1140 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1141 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1142 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1143 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1144 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1145 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1146 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1147 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1148 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1149 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1150 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1151 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1152 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1153 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1154 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1155 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1156 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1157 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1158 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1159 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1160 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1161 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1162 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1163 (tptp.class_Groups_Ouminus tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1164 (tptp.class_Groups_Osgn__if tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1165 (tptp.class_Groups_Oabs__if tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1166 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1167 (tptp.class_Groups_Ominus tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1168 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1169 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1170 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1171 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1172 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1173 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1174 (tptp.class_Rings_Odvd tptp.tc_RealDef_Oreal)) % 44.44/44.66 (assume @p1175 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1176 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1177 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1178 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1179 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1180 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1181 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1182 @t1038) % 44.44/44.66 (assume @p1183 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1184 (tptp.class_RealVector_Oreal__div__algebra tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1185 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1186 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1187 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1188 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1189 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1190 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1191 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1192 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1193 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1194 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1195 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1196 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1197 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1198 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1199 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1200 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1201 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1202 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1203 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1204 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1205 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1206 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1207 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1208 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1209 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1210 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1211 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1212 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1213 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1214 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1215 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1216 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1217 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 44.44/44.66 (assume @p1218 (forall @t1031 (=> @t1039 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1029)))) % 44.44/44.66 (assume @p1219 (forall @t1031 (=> @t1040 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1029)))) % 44.44/44.66 (assume @p1220 (forall @t1031 (=> @t1040 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1029)))) % 44.44/44.66 (assume @p1221 (forall @t1031 (=> @t1040 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1029)))) % 44.44/44.66 (assume @p1222 (forall @t1031 (=> @t1040 (tptp.class_Rings_Olinordered__semiring__1__strict @t1029)))) % 44.44/44.66 (assume @p1223 (forall @t1031 (=> @t1040 (tptp.class_Rings_Olinordered__semiring__strict @t1029)))) % 44.44/44.66 (assume @p1224 (forall @t1031 (=> @t1040 (tptp.class_Groups_Oordered__ab__semigroup__add @t1029)))) % 44.44/44.66 (assume @p1225 (forall @t1031 (=> @t1040 (tptp.class_Groups_Oordered__ab__group__add__abs @t1029)))) % 44.44/44.66 (assume @p1226 (forall @t1031 (=> @t1040 (tptp.class_Groups_Oordered__comm__monoid__add @t1029)))) % 44.44/44.66 (assume @p1227 (forall @t1031 (=> @t1040 (tptp.class_Groups_Olinordered__ab__group__add @t1029)))) % 44.44/44.66 (assume @p1228 (forall @t1031 (=> @t1030 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1029)))) % 44.44/44.66 (assume @p1229 (forall @t1031 (=> @t1039 (tptp.class_Rings_Oring__1__no__zero__divisors @t1029)))) % 44.44/44.66 (assume @p1230 (forall @t1031 (=> @t1040 (tptp.class_Rings_Oordered__cancel__semiring @t1029)))) % 44.44/44.66 (assume @p1231 (forall @t1031 (=> @t1040 (tptp.class_Rings_Olinordered__ring__strict @t1029)))) % 44.44/44.66 (assume @p1232 (forall @t1031 (=> @t1039 (tptp.class_Rings_Oring__no__zero__divisors @t1029)))) % 44.44/44.66 (assume @p1233 (forall @t1031 (=> @t1040 (tptp.class_Rings_Oordered__comm__semiring @t1029)))) % 44.44/44.66 (assume @p1234 (forall @t1031 (=> @t1040 (tptp.class_Rings_Olinordered__semiring__1 @t1029)))) % 44.44/44.66 (assume @p1235 (forall @t1031 (=> @t1040 (tptp.class_Groups_Oordered__ab__group__add @t1029)))) % 44.44/44.66 (assume @p1236 (forall @t1031 (=> @t1030 (tptp.class_Groups_Ocancel__semigroup__add @t1029)))) % 44.44/44.66 (assume @p1237 (forall @t1031 (=> @t1040 (tptp.class_Rings_Olinordered__semiring @t1029)))) % 44.44/44.66 (assume @p1238 (forall @t1031 (=> @t1040 (tptp.class_Rings_Olinordered__semidom @t1029)))) % 44.44/44.66 (assume @p1239 (forall @t1031 (=> @t1041 (tptp.class_Groups_Oab__semigroup__mult @t1029)))) % 44.44/44.66 (assume @p1240 (forall @t1031 (=> @t1042 (tptp.class_Groups_Ocomm__monoid__mult @t1029)))) % 44.44/44.66 (assume @p1241 (forall @t1031 (=> @t1043 (tptp.class_Groups_Oab__semigroup__add @t1029)))) % 44.44/44.66 (assume @p1242 (forall @t1031 (=> @t1040 (tptp.class_Rings_Oordered__semiring @t1029)))) % 44.44/44.66 (assume @p1243 (forall @t1031 (=> @t1040 (tptp.class_Rings_Oordered__ring__abs @t1029)))) % 44.44/44.66 (assume @p1244 (forall @t1031 (=> @t1039 (tptp.class_Rings_Ono__zero__divisors @t1029)))) % 44.44/44.66 (assume @p1245 (forall @t1031 (=> @t1043 (tptp.class_Groups_Ocomm__monoid__add @t1029)))) % 44.44/44.66 (assume @p1246 (forall @t1031 (=> @t1040 (tptp.class_Rings_Olinordered__ring @t1029)))) % 44.44/44.66 (assume @p1247 (forall @t1031 (=> @t1040 (tptp.class_Rings_Olinordered__idom @t1029)))) % 44.44/44.66 (assume @p1248 (forall @t1031 (=> @t1042 (tptp.class_Rings_Ocomm__semiring__1 @t1029)))) % 44.44/44.66 (assume @p1249 (forall @t1031 (=> @t1041 (tptp.class_Rings_Ocomm__semiring__0 @t1029)))) % 44.44/44.66 (assume @p1250 (forall @t1031 (=> @t1041 (tptp.class_Rings_Ocomm__semiring @t1029)))) % 44.44/44.66 (assume @p1251 (forall @t1031 (=> @t1044 (tptp.class_Groups_Oab__group__add @t1029)))) % 44.44/44.66 (assume @p1252 (forall @t1031 (=> @t1042 (tptp.class_Rings_Ozero__neq__one @t1029)))) % 44.44/44.66 (assume @p1253 (forall @t1031 (=> @t1040 (tptp.class_Rings_Oordered__ring @t1029)))) % 44.44/44.66 (assume @p1254 (forall @t1031 (=> @t1040 (tptp.class_Orderings_Opreorder @t1029)))) % 44.44/44.66 (assume @p1255 (forall @t1031 (=> @t1040 (tptp.class_Orderings_Olinorder @t1029)))) % 44.44/44.66 (assume @p1256 (forall @t1031 (=> @t1042 (tptp.class_Groups_Omonoid__mult @t1029)))) % 44.44/44.66 (assume @p1257 (forall @t1031 (=> @t1045 (tptp.class_Rings_Ocomm__ring__1 @t1029)))) % 44.44/44.66 (assume @p1258 (forall @t1031 (=> @t1043 (tptp.class_Groups_Omonoid__add @t1029)))) % 44.44/44.66 (assume @p1259 (forall @t1031 (=> @t1041 (tptp.class_Rings_Osemiring__0 @t1029)))) % 44.44/44.66 (assume @p1260 (forall @t1031 (=> @t1044 (tptp.class_Groups_Ogroup__add @t1029)))) % 44.44/44.66 (assume @p1261 (forall @t1031 (=> @t1041 (tptp.class_Rings_Omult__zero @t1029)))) % 44.44/44.66 (assume @p1262 (forall @t1031 (=> @t1046 (tptp.class_Rings_Ocomm__ring @t1029)))) % 44.44/44.66 (assume @p1263 (forall @t1031 (=> @t1040 (tptp.class_Orderings_Oorder @t1029)))) % 44.44/44.66 (assume @p1264 (forall @t1031 (=> @t1040 (tptp.class_Int_Oring__char__0 @t1029)))) % 44.44/44.66 (assume @p1265 (forall @t1031 (=> @t1041 (tptp.class_Rings_Osemiring @t1029)))) % 44.44/44.66 (assume @p1266 (forall @t1031 (=> @t1040 (tptp.class_Orderings_Oord @t1029)))) % 44.44/44.66 (assume @p1267 (forall @t1031 (=> @t1044 (tptp.class_Groups_Ouminus @t1029)))) % 44.44/44.66 (assume @p1268 (forall @t1031 (=> @t1040 (tptp.class_Groups_Osgn__if @t1029)))) % 44.44/44.66 (assume @p1269 (forall @t1031 (=> @t1040 (tptp.class_Groups_Oabs__if @t1029)))) % 44.44/44.66 (assume @p1270 (forall @t1031 (=> @t1045 (tptp.class_Rings_Oring__1 @t1029)))) % 44.44/44.66 (assume @p1271 (forall @t1031 (=> @t1044 (tptp.class_Groups_Ominus @t1029)))) % 44.44/44.66 (assume @p1272 (forall @t1031 (=> @t1042 (tptp.class_Power_Opower @t1029)))) % 44.44/44.66 (assume @p1273 (forall @t1031 (=> (tptp.class_Groups_Ozero @t1028) (tptp.class_Groups_Ozero @t1029)))) % 44.44/44.66 (assume @p1274 (forall @t1031 (=> @t1046 (tptp.class_Rings_Oring @t1029)))) % 44.44/44.66 (assume @p1275 (forall @t1031 (=> @t1039 (tptp.class_Rings_Oidom @t1029)))) % 44.44/44.66 (assume @p1276 (forall @t1031 (=> @t1042 (tptp.class_Groups_Oone @t1029)))) % 44.44/44.66 (assume @p1277 (forall @t1031 (=> @t1042 (tptp.class_Rings_Odvd @t1029)))) % 44.44/44.66 (assume @p1278 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t36 @t93))) % 44.44/44.66 (assume @p1279 true) % 44.44/44.66 (step @p1280 :rule evaluate :args ((= false true))) % 44.44/44.66 (step @p1281 :rule aci_norm :args ((= (or @t1049 @t1050) (or @t1049 @t1048 @t1047 @t394)))) % 44.44/44.66 (step @p1282 :rule aci_norm :args ((= (or @t1048 (or @t1047 @t394)) @t1050))) % 44.44/44.66 (step @p1283 :rule bool-impl-elim :args (@t395 @t394)) % 44.44/44.66 (step @p1284 :rule refl :args (@t1048)) % 44.44/44.66 (step @p1285 :rule nary_cong :premises (@p1284 @p1283) :args ((or @t1048 @t396))) % 44.44/44.66 (step @p1286 :rule trans :premises (@p1285 @p1282)) % 44.44/44.66 (step @p1287 :rule bool-impl-elim :args (@t197 @t396)) % 44.44/44.66 (step @p1288 :rule trans :premises (@p1287 @p1286)) % 44.44/44.66 (step @p1289 :rule refl :args (@t1049)) % 44.44/44.66 (step @p1290 :rule nary_cong :premises (@p1289 @p1288) :args ((or @t1049 @t397))) % 44.44/44.66 (step @p1291 :rule trans :premises (@p1290 @p1281)) % 44.44/44.66 (step @p1292 :rule bool-impl-elim :args (@t398 @t397)) % 44.44/44.66 (step @p1293 :rule trans :premises (@p1292 @p1291)) % 44.44/44.66 (step @p1294 :rule cong :premises (@p1293) :args (@t399)) % 44.44/44.66 (step @p1295 :rule eq_resolve :premises (@p194 @p1294)) % 44.44/44.66 (step @p1296 :rule instantiate :premises (@p1295) :args ((@list tptp.v_t____ @t1052 @t1051 tptp.tc_RealDef_Oreal))) % 44.44/44.66 (step @p1297 :rule instantiate :premises (@p1295) :args ((@list @t24 tptp.v_m____ @t13 tptp.tc_RealDef_Oreal))) % 44.44/44.66 (step @p1298 :rule aci_norm :args ((= (or @t1054 (or @t1053 @t198)) (or @t1054 @t1053 @t198)))) % 44.44/44.66 (step @p1299 :rule bool-impl-elim :args (@t139 @t198)) % 44.44/44.66 (step @p1300 :rule refl :args (@t1054)) % 44.44/44.66 (step @p1301 :rule nary_cong :premises (@p1300 @p1299) :args ((or @t1054 @t199))) % 44.44/44.66 (step @p1302 :rule trans :premises (@p1301 @p1298)) % 44.44/44.66 (step @p1303 :rule bool-impl-elim :args (@t88 @t199)) % 44.44/44.66 (step @p1304 :rule trans :premises (@p1303 @p1302)) % 44.44/44.66 (step @p1305 :rule cong :premises (@p1304) :args (@t200)) % 44.44/44.66 (step @p1306 :rule eq_resolve :premises (@p71 @p1305)) % 44.44/44.66 (step @p1307 :rule instantiate :premises (@p1306) :args ((@list @t22 @t17 tptp.tc_RealDef_Oreal))) % 44.44/44.66 (step @p1308 :rule bool-impl-elim :args (@t71 @t350)) % 44.44/44.66 (step @p1309 :rule cong :premises (@p1308) :args (@t351)) % 44.44/44.66 (step @p1310 :rule eq_resolve :premises (@p155 @p1309)) % 44.44/44.66 (step @p1311 :rule instantiate :premises (@p1310) :args ((@list tptp.v_w____ tptp.tc_Complex_Ocomplex))) % 44.44/44.66 (step @p1312 :rule cnf_or_pos :args (@t1057)) % 44.44/44.66 (step @p1313 :rule reordering :premises (@p1312) :args ((or @t1056 @t1055 (not @t1057)))) % 44.44/44.66 (step @p1314 :rule chain_m_resolution :premises (@p1313 @p1182 @p1311) :args (@t1055 @t1058 (@list @t1038 @t1057))) % 44.44/44.66 (step @p1315 :rule cnf_or_pos :args (@t1062)) % 44.44/44.66 (step @p1316 :rule reordering :premises (@p1315) :args ((or @t1061 @t1060 @t1059 (not @t1062)))) % 44.44/44.66 (step @p1317 :rule chain_m_resolution :premises (@p1316 @p1132 @p1314 @p1307) :args (@t1059 @t1063 (@list @t1036 @t1055 @t1062))) % 44.44/44.66 (step @p1318 :rule cnf_or_pos :args (@t1068)) % 44.44/44.66 (step @p1319 :rule reordering :premises (@p1318) :args ((or @t1066 @t1067 @t1065 @t1064 (not @t1068)))) % 44.44/44.66 (step @p1320 :rule chain_m_resolution :premises (@p1319 @p4 @p1137 @p1317 @p1297) :args (@t1064 @t1069 (@list @t14 @t1037 @t1059 @t1068))) % 44.44/44.66 (step @p1321 :rule eq-symm :args (@t90 tptp.v_t____)) % 44.44/44.66 (step @p1322 :rule refl :args (@t91)) % 44.44/44.66 (step @p1323 :rule nary_cong :premises (@p1322 @p1321) :args (@t1070)) % 44.44/44.66 (step @p1324 :rule refl :args (@t1071)) % 44.44/44.66 (step @p1325 :rule cong :premises (@p1324 @p1323) :args (@t1072)) % 44.44/44.66 (step @p1326 :rule refl :args (@t680)) % 44.44/44.66 (step @p1327 :rule cong :premises (@p1326 @p1325) :args ((=> @t680 @t1072))) % 44.44/44.66 (assume-push @p1397 @t680) % 44.44/44.66 (step @p1329 :rule instantiate :premises (@p466) :args ((@list tptp.v_t____ @t90))) % 44.44/44.66 (step-pop @p1398 :rule scope :premises (@p1329)) % 44.44/44.66 (step @p1330 :rule process_scope :premises (@p1398) :args (@t1072)) % 44.44/44.66 (step @p1332 :rule eq_resolve :premises (@p1330 @p1327)) % 44.44/44.66 (step @p1333 :rule implies_elim :premises (@p1332)) % 44.44/44.66 (step @p1334 :rule chain_m_resolution :premises (@p1333 @p466) :args (@t1074 @t1075 (@list @t680))) % 44.44/44.66 (step @p1335 :rule cnf_or_neg :args (@t1073 0)) % 44.44/44.66 (step @p1336 :rule reordering :premises (@p1335) :args ((or (not @t91) @t1073))) % 44.44/44.66 (step @p1337 :rule chain_m_resolution :premises (@p1336 @p23) :args (@t1073 @t1075 (@list @t91))) % 44.44/44.66 (step @p1338 :rule cnf_equiv_pos2 :args (@t1074)) % 44.44/44.66 (step @p1339 :rule reordering :premises (@p1338) :args ((or @t1071 (not @t1073) (not @t1074)))) % 44.44/44.66 (step @p1340 :rule chain_m_resolution :premises (@p1339 @p1337 @p1334) :args (@t1071 @t1058 (@list @t1073 @t1074))) % 44.44/44.66 (step @p1341 :rule cnf_or_pos :args (@t1079)) % 44.44/44.66 (step @p1342 :rule reordering :premises (@p1341) :args ((or @t1067 @t1077 @t1078 @t1076 (not @t1079)))) % 44.44/44.66 (step @p1343 :rule chain_m_resolution :premises (@p1342 @p1137 @p1340 @p1320 @p1296) :args (@t1076 @t1069 (@list @t1037 @t1071 @t1064 @t1079))) % 44.44/44.66 (step @p1344 :rule true_intro :premises (@p1343)) % 44.44/44.66 (step @p1345 :rule refl :args (tptp.v_t____)) % 44.44/44.66 (step @p1346 :rule instantiate :premises (@p463) :args ((@list tptp.v_m____ @t24))) % 44.44/44.66 (step @p1347 :rule refl :args (@t25)) % 44.44/44.66 (step @p1348 :rule cong :premises (@p1347 @p1346) :args (@t1080)) % 44.44/44.66 (step @p1349 :rule cong :premises (@p1348 @p1345) :args ((tptp.hAPP @t1080 tptp.v_t____))) % 44.44/44.66 (step @p1350 :rule instantiate :premises (@p463) :args ((@list @t52 tptp.v_t____))) % 44.44/44.66 (step @p1351 :rule trans :premises (@p1350 @p1349)) % 44.44/44.66 (step @p1352 :rule instantiate :premises (@p463) :args ((@list @t13 @t24))) % 44.44/44.66 (step @p1353 :rule cong :premises (@p1347 @p1352) :args (@t1081)) % 44.44/44.66 (step @p1354 :rule cong :premises (@p1353 @p1345) :args ((tptp.hAPP @t1081 tptp.v_t____))) % 44.44/44.66 (step @p1355 :rule instantiate :premises (@p463) :args ((@list @t27 tptp.v_t____))) % 44.44/44.66 (step @p1356 :rule trans :premises (@p1355 @p1354)) % 44.44/44.66 (step @p1357 :rule refl :args (tptp.tc_RealDef_Oreal)) % 44.44/44.66 (step @p1358 :rule cong :premises (@p1357 @p1356 @p1351) :args (@t1082)) % 44.44/44.66 (step @p1359 :rule aci_norm :args ((= (or @t1084 (or @t1083 @t448)) @t1085))) % 44.44/44.66 (step @p1360 :rule bool-impl-elim :args (@t433 @t448)) % 44.44/44.66 (step @p1361 :rule refl :args (@t1084)) % 44.44/44.66 (step @p1362 :rule nary_cong :premises (@p1361 @p1360) :args ((or @t1084 @t449))) % 44.44/44.66 (step @p1363 :rule trans :premises (@p1362 @p1359)) % 44.44/44.66 (step @p1364 :rule bool-impl-elim :args (@t388 @t449)) % 44.44/44.66 (step @p1365 :rule trans :premises (@p1364 @p1363)) % 44.44/44.66 (step @p1366 :rule cong :premises (@p1365) :args (@t450)) % 44.44/44.66 (step @p1367 :rule eq_resolve :premises (@p241 @p1366)) % 44.44/44.66 (step @p1368 :rule eq-symm :args (@t1086 @t1082)) % 44.44/44.66 (step @p1369 :rule refl :args (@t1087)) % 44.44/44.66 (step @p1370 :rule refl :args (@t1088)) % 44.44/44.66 (step @p1371 :rule nary_cong :premises (@p1370 @p1369 @p1368) :args (@t1089)) % 44.44/44.66 (step @p1372 :rule refl :args (@t1090)) % 44.44/44.66 (step @p1373 :rule cong :premises (@p1372 @p1371) :args ((=> @t1090 @t1089))) % 44.44/44.66 (assume-push @p1399 @t1090) % 44.44/44.66 (step @p1375 :rule instantiate :premises (@p1367) :args ((@list @t92 @t29 @t30 tptp.tc_RealDef_Oreal))) % 44.44/44.66 (step-pop @p1400 :rule scope :premises (@p1375)) % 44.44/44.66 (step @p1376 :rule process_scope :premises (@p1400) :args (@t1089)) % 44.44/44.66 (step @p1378 :rule eq_resolve :premises (@p1376 @p1373)) % 44.44/44.66 (step @p1379 :rule implies_elim :premises (@p1378)) % 44.44/44.66 (step @p1380 :rule chain_m_resolution :premises (@p1379 @p1367) :args (@t1092 @t1075 (@list @t1090))) % 44.44/44.66 (step @p1381 :rule cnf_or_pos :args (@t1092)) % 44.44/44.66 (step @p1382 :rule reordering :premises (@p1381) :args ((or @t1087 @t1088 @t1091 (not @t1092)))) % 44.44/44.66 (step @p1383 :rule chain_m_resolution :premises (@p1382 @p124 @p1122 @p1380) :args (@t1091 @t1063 (@list @t296 @t1035 @t1092))) % 44.44/44.66 (step @p1384 :rule false_intro :premises (@p1278)) % 44.44/44.66 (step @p1385 :rule refl :args (@t93)) % 44.44/44.66 (step @p1386 :rule symm :premises (@p7)) % 44.44/44.66 (step @p1387 :rule cong :premises (@p1357 @p1386 @p1385) :args (@t1086)) % 44.44/44.66 (step @p1388 :rule trans :premises (@p1387 @p1384)) % 44.44/44.66 (step @p1389 :rule false_elim :premises (@p1388)) % 44.44/44.66 (step @p1390 :rule cnf_equiv_pos1 :args (@t1091)) % 44.44/44.66 (step @p1391 :rule reordering :premises (@p1390) :args ((or @t1093 @t1086 (not @t1091)))) % 44.44/44.66 (step @p1392 :rule chain_m_resolution :premises (@p1391 @p1389 @p1383) :args (@t1093 (@list true false) (@list @t1086 @t1091))) % 44.44/44.66 (step @p1393 :rule false_intro :premises (@p1392)) % 44.44/44.66 (step @p1394 :rule symm :premises (@p1393)) % 44.44/44.66 (step @p1395 :rule trans :premises (@p1394 @p1358 @p1344)) % 44.44/44.66 (step @p1396 false :rule eq_resolve :premises (@p1395 @p1280)) % 44.44/44.66 ) % 44.44/44.66 % SZS output end Proof % 44.44/44.66 % cvc5 exiting %------------------------------------------------------------------------------