%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW267+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:37 AM UTC 2026 % Result : Theorem 1.32s 1.57s % Output : Proof 1.32s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW267+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 % 0.17/0.34 % Computer : n018.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 21:43:05 EDT 2026 % 0.17/0.34 % CPUTime : % 0.44/0.74 %----Proving TF0_NAR, FOF, or CNF % 1.32/1.57 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.32/1.57 % SZS status Theorem % 1.32/1.57 % SZS output start Proof % 1.32/1.57 ( % 1.32/1.57 (declare-sort $$unsorted 0) % 1.32/1.57 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Rings_Odvd__class_Odvd (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.32/1.57 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Polynomial_Osynthetic__div (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.v_q____ $$unsorted) % 1.32/1.57 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_RealVector_Oreal__algebra__1 (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_RealVector_Oreal__div__algebra (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.32/1.57 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.v_a____ $$unsorted) % 1.32/1.57 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Groups_Ouminus (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.c_Groups_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_RealVector_Oof__real (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.c_Rings_Oinverse__class_Oinverse (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.v_t____ $$unsorted) % 1.32/1.57 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.v_p $$unsorted) % 1.32/1.57 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.32/1.57 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Odvd (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.32/1.57 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.v_k____ $$unsorted) % 1.32/1.57 (declare-const tptp.v_pa____ $$unsorted) % 1.32/1.57 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.v_m____ $$unsorted) % 1.32/1.57 (declare-const tptp.v_s____ $$unsorted) % 1.32/1.57 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.32/1.57 (declare-const tptp.v_w____ $$unsorted) % 1.32/1.57 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.v_c____ $$unsorted) % 1.32/1.57 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Groups_Oabs__if (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.32/1.57 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.32/1.57 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.32/1.57 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.32/1.57 (define @t1 () (@var "V_g_2" $$unsorted)) % 1.32/1.57 (define @t2 () (@var "V_f_2" $$unsorted)) % 1.32/1.57 (define @t3 () (@var "B_x" $$unsorted)) % 1.32/1.57 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.32/1.57 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.32/1.57 (define @t6 () (@list @t3)) % 1.32/1.57 (define @t7 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.32/1.57 (define @t8 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.32/1.57 (define @t9 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.32/1.57 (define @t10 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.32/1.57 (define @t11 () (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex tptp.v_t____)) % 1.32/1.57 (define @t12 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.32/1.57 (define @t13 () (tptp.hAPP (tptp.hAPP @t12 @t11) tptp.v_w____)) % 1.32/1.57 (define @t14 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_s____)) % 1.32/1.57 (define @t15 () (tptp.hAPP @t14 @t13)) % 1.32/1.57 (define @t16 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.32/1.57 (define @t17 () (tptp.hAPP @t12 (tptp.hAPP (tptp.hAPP @t16 @t13) tptp.v_k____))) % 1.32/1.57 (define @t18 () (tptp.hAPP (tptp.hAPP @t12 (tptp.hAPP @t17 @t13)) @t15)) % 1.32/1.57 (define @t19 () (tptp.hAPP (tptp.hAPP @t12 (tptp.hAPP (tptp.hAPP @t16 tptp.v_w____) tptp.v_k____)) tptp.v_a____)) % 1.32/1.57 (define @t20 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.32/1.57 (define @t21 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t20 (tptp.hAPP (tptp.hAPP @t12 (tptp.hAPP (tptp.hAPP @t16 @t11) tptp.v_k____)) @t19)) @t18)) % 1.32/1.57 (define @t22 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t20 (tptp.hAPP @t17 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_a____ (tptp.hAPP (tptp.hAPP @t12 @t13) @t15))))) % 1.32/1.57 (define @t23 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t20 @t19)) % 1.32/1.57 (define @t24 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.32/1.57 (define @t25 () (tptp.hAPP (tptp.hAPP @t24 tptp.v_t____) tptp.v_k____)) % 1.32/1.57 (define @t26 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t18)) % 1.32/1.57 (define @t27 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t20)) % 1.32/1.57 (define @t28 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_w____)) % 1.32/1.57 (define @t29 () (@var "V_n" $$unsorted)) % 1.32/1.57 (define @t30 () (@var "V_a" $$unsorted)) % 1.32/1.57 (define @t31 () (@var "T_a" $$unsorted)) % 1.32/1.57 (define @t32 () (tptp.c_Power_Opower__class_Opower @t31)) % 1.32/1.57 (define @t33 () (tptp.hAPP @t32 @t30)) % 1.32/1.57 (define @t34 () (tptp.hAPP @t33 @t29)) % 1.32/1.57 (define @t35 () (tptp.c_Groups_Otimes__class_Otimes @t31)) % 1.32/1.57 (define @t36 () (tptp.hAPP @t35 @t30)) % 1.32/1.57 (define @t37 () (tptp.hAPP @t36 @t34)) % 1.32/1.57 (define @t38 () (tptp.c_Groups_Oone__class_Oone @t31)) % 1.32/1.57 (define @t39 () (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t30)) % 1.32/1.57 (define @t40 () (tptp.class_Rings_Olinordered__semidom @t31)) % 1.32/1.57 (define @t41 () (@list @t29 @t30 @t31)) % 1.32/1.57 (define @t42 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t7 @t25)) % 1.32/1.57 (define @t43 () (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t42)) % 1.32/1.57 (define @t44 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t43 @t18)) % 1.32/1.57 (define @t45 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t44)) % 1.32/1.57 (define @t46 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t22)) % 1.32/1.57 (define @t47 () (tptp.class_RealVector_Oreal__algebra__1 @t31)) % 1.32/1.57 (define @t48 () (@list @t31)) % 1.32/1.57 (define @t49 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t31)) % 1.32/1.57 (define @t50 () (@var "V_s" $$unsorted)) % 1.32/1.57 (define @t51 () (@var "V_r" $$unsorted)) % 1.32/1.57 (define @t52 () (@var "V_y" $$unsorted)) % 1.32/1.57 (define @t53 () (@var "V_x" $$unsorted)) % 1.32/1.57 (define @t54 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t53 @t52)) % 1.32/1.57 (define @t55 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t54)) % 1.32/1.57 (define @t56 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t52)) % 1.32/1.57 (define @t57 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t56 @t50)) % 1.32/1.57 (define @t58 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t53)) % 1.32/1.57 (define @t59 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t58 @t51)) % 1.32/1.57 (define @t60 () (tptp.class_RealVector_Oreal__normed__vector @t31)) % 1.32/1.57 (define @t61 () (@list @t50 @t52 @t51 @t53 @t31)) % 1.32/1.57 (define @t62 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.32/1.57 (define @t63 () (tptp.hAPP @t35 @t53)) % 1.32/1.57 (define @t64 () (tptp.hAPP @t63 @t52)) % 1.32/1.57 (define @t65 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t64)) % 1.32/1.57 (define @t66 () (tptp.class_RealVector_Oreal__normed__algebra @t31)) % 1.32/1.57 (define @t67 () (tptp.hAPP @t62 @t7)) % 1.32/1.57 (define @t68 () (tptp.hAPP @t62 tptp.v_t____)) % 1.32/1.57 (define @t69 () (@var "B_z" $$unsorted)) % 1.32/1.57 (define @t70 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t14 @t69))) % 1.32/1.57 (define @t71 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t69) @t28)) % 1.32/1.57 (define @t72 () (@list @t69)) % 1.32/1.57 (define @t73 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.32/1.57 (define @t74 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat tptp.v_k____ @t73)) % 1.32/1.57 (define @t75 () (tptp.hAPP @t62 (tptp.hAPP (tptp.hAPP @t24 @t28) @t74))) % 1.32/1.57 (define @t76 () (tptp.hAPP @t62 @t25)) % 1.32/1.57 (define @t77 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.32/1.57 (define @t78 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t42) @t26)) % 1.32/1.57 (define @t79 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t78 @t7)) % 1.32/1.57 (define @t80 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t46 @t78)) % 1.32/1.57 (define @t81 () (@list @t53 @t31)) % 1.32/1.57 (define @t82 () (tptp.c_Groups_Ozero__class_Ozero @t31)) % 1.32/1.57 (define @t83 () (= (tptp.c_RealVector_Oof__real @t31 @t10) @t82)) % 1.32/1.57 (define @t84 () (and @t47 @t60)) % 1.32/1.57 (define @t85 () (tptp.c_RealVector_Oof__real @t31 @t53)) % 1.32/1.57 (define @t86 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t53)) % 1.32/1.57 (define @t87 () (= (tptp.c_RealVector_Oof__real @t31 @t86) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t85))) % 1.32/1.57 (define @t88 () (tptp.c_RealVector_Oof__real @t31 @t52)) % 1.32/1.57 (define @t89 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t53 @t52)) % 1.32/1.57 (define @t90 () (= (tptp.c_RealVector_Oof__real @t31 @t89) (tptp.c_Groups_Ominus__class_Ominus @t31 @t85 @t88))) % 1.32/1.57 (define @t91 () (@list @t52 @t53 @t31)) % 1.32/1.57 (define @t92 () (@var "V_b" $$unsorted)) % 1.32/1.57 (define @t93 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t92)) % 1.32/1.57 (define @t94 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t30)) % 1.32/1.57 (define @t95 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t30 @t92)) % 1.32/1.57 (define @t96 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t95)) % 1.32/1.57 (define @t97 () (@list @t92 @t30 @t31)) % 1.32/1.57 (define @t98 () (@var "V_n_2" $$unsorted)) % 1.32/1.57 (define @t99 () (= @t98 @t8)) % 1.32/1.57 (define @t100 () (@var "V_x_2" $$unsorted)) % 1.32/1.57 (define @t101 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t100)) % 1.32/1.57 (define @t102 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.32/1.57 (define @t103 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 (tptp.hAPP (tptp.hAPP @t102 @t100) @t98))) % 1.32/1.57 (define @t104 () (@list @t98 @t100)) % 1.32/1.57 (define @t105 () (= @t100 @t10)) % 1.32/1.57 (define @t106 () (tptp.c_RealVector_Oof__real @t31 @t100)) % 1.32/1.57 (define @t107 () (@list @t100 @t31)) % 1.32/1.57 (define @t108 () (= @t100 @t82)) % 1.32/1.57 (define @t109 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t100)) % 1.32/1.57 (define @t110 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t94 @t93)) % 1.32/1.57 (define @t111 () (not @t99)) % 1.32/1.57 (define @t112 () (@var "V_aa_2" $$unsorted)) % 1.32/1.57 (define @t113 () (= @t112 @t82)) % 1.32/1.57 (define @t114 () (tptp.hAPP @t32 @t112)) % 1.32/1.57 (define @t115 () (tptp.hAPP @t114 @t98)) % 1.32/1.57 (define @t116 () (tptp.class_Rings_Ozero__neq__one @t31)) % 1.32/1.57 (define @t117 () (tptp.class_Rings_Ono__zero__divisors @t31)) % 1.32/1.57 (define @t118 () (tptp.class_Rings_Omult__zero @t31)) % 1.32/1.57 (define @t119 () (tptp.class_Power_Opower @t31)) % 1.32/1.57 (define @t120 () (@list @t98 @t112 @t31)) % 1.32/1.57 (define @t121 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t30)) % 1.32/1.57 (define @t122 () (@var "V_m" $$unsorted)) % 1.32/1.57 (define @t123 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t122 @t29)) % 1.32/1.57 (define @t124 () (@var "V_i" $$unsorted)) % 1.32/1.57 (define @t125 () (tptp.hAPP @t102 @t124)) % 1.32/1.57 (define @t126 () (tptp.hAPP (tptp.hAPP @t32 @t92) @t29)) % 1.32/1.57 (define @t127 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t30 @t92)) % 1.32/1.57 (define @t128 () (@list @t29 @t92 @t30 @t31)) % 1.32/1.57 (define @t129 () (= @t30 @t92)) % 1.32/1.57 (define @t130 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t29)) % 1.32/1.57 (define @t131 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t92)) % 1.32/1.57 (define @t132 () (@list @t92 @t29 @t30 @t31)) % 1.32/1.57 (define @t133 () (@var "V_N" $$unsorted)) % 1.32/1.57 (define @t134 () (tptp.hAPP @t33 @t133)) % 1.32/1.57 (define @t135 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t30 @t38)) % 1.32/1.57 (define @t136 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t133)) % 1.32/1.57 (define @t137 () (@list @t30 @t133 @t29 @t31)) % 1.32/1.57 (define @t138 () (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t126)) % 1.32/1.57 (define @t139 () (tptp.c_Orderings_Oord__class_Oless @t31 @t30 @t92)) % 1.32/1.57 (define @t140 () (@var "V_ya" $$unsorted)) % 1.32/1.57 (define @t141 () (tptp.hAPP @t35 @t52)) % 1.32/1.57 (define @t142 () (tptp.hAPP @t141 @t140)) % 1.32/1.57 (define @t143 () (tptp.hAPP @t63 @t140)) % 1.32/1.57 (define @t144 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t53 @t52)) % 1.32/1.57 (define @t145 () (@list @t140 @t52 @t53 @t31)) % 1.32/1.57 (define @t146 () (@var "V_a_H" $$unsorted)) % 1.32/1.57 (define @t147 () (tptp.hAPP (tptp.hAPP @t35 @t146) @t92)) % 1.32/1.57 (define @t148 () (tptp.hAPP @t36 @t92)) % 1.32/1.57 (define @t149 () (@list @t92 @t146 @t30 @t31)) % 1.32/1.57 (define @t150 () (@var "V_xa" $$unsorted)) % 1.32/1.57 (define @t151 () (tptp.hAPP @t35 @t150)) % 1.32/1.57 (define @t152 () (tptp.hAPP @t151 @t52)) % 1.32/1.57 (define @t153 () (tptp.hAPP @t151 @t53)) % 1.32/1.57 (define @t154 () (@list @t52 @t53 @t150 @t31)) % 1.32/1.57 (define @t155 () (@var "V_b_H" $$unsorted)) % 1.32/1.57 (define @t156 () (tptp.hAPP @t36 @t155)) % 1.32/1.57 (define @t157 () (@list @t155 @t92 @t30 @t31)) % 1.32/1.57 (define @t158 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t53)) % 1.32/1.57 (define @t159 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t148)) % 1.32/1.57 (define @t160 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t30)) % 1.32/1.57 (define @t161 () (tptp.hAPP @t35 @t160)) % 1.32/1.57 (define @t162 () (tptp.hAPP @t161 @t92)) % 1.32/1.57 (define @t163 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t92)) % 1.32/1.57 (define @t164 () (tptp.hAPP @t36 @t163)) % 1.32/1.57 (define @t165 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t92 @t30)) % 1.32/1.57 (define @t166 () (tptp.hAPP @t33 @t122)) % 1.32/1.57 (define @t167 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.32/1.57 (define @t168 () (tptp.hAPP @t167 @t122)) % 1.32/1.57 (define @t169 () (tptp.hAPP @t168 @t29)) % 1.32/1.57 (define @t170 () (tptp.class_Groups_Omonoid__mult @t31)) % 1.32/1.57 (define @t171 () (@list @t29 @t122 @t30 @t31)) % 1.32/1.57 (define @t172 () (= (tptp.hAPP @t36 @t82) @t82)) % 1.32/1.57 (define @t173 () (@list @t30 @t31)) % 1.32/1.57 (define @t174 () (tptp.hAPP @t35 @t82)) % 1.32/1.57 (define @t175 () (@list @t52 @t31)) % 1.32/1.57 (define @t176 () (= @t30 @t82)) % 1.32/1.57 (define @t177 () (not @t176)) % 1.32/1.57 (define @t178 () (tptp.class_Rings_Oring__1__no__zero__divisors @t31)) % 1.32/1.57 (define @t179 () (@var "V_d" $$unsorted)) % 1.32/1.57 (define @t180 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t92 @t179)) % 1.32/1.57 (define @t181 () (@var "V_c" $$unsorted)) % 1.32/1.57 (define @t182 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t30 @t181)) % 1.32/1.57 (define @t183 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t181 @t179)) % 1.32/1.57 (define @t184 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t92)) % 1.32/1.57 (define @t185 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t184 @t183)) % 1.32/1.57 (define @t186 () (@list @t179 @t181 @t92 @t30 @t31)) % 1.32/1.57 (define @t187 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t30)) % 1.32/1.57 (define @t188 () (tptp.hAPP (tptp.hAPP @t32 @t82) @t29)) % 1.32/1.57 (define @t189 () (= @t29 @t8)) % 1.32/1.57 (define @t190 () (not @t189)) % 1.32/1.57 (define @t191 () (tptp.class_Rings_Osemiring__0 @t31)) % 1.32/1.57 (define @t192 () (@list @t29 @t31)) % 1.32/1.57 (define @t193 () (not @t108)) % 1.32/1.57 (define @t194 () (@var "B_y" $$unsorted)) % 1.32/1.57 (define @t195 () (@list @t3 @t194)) % 1.32/1.57 (define @t196 () (@var "T_b" $$unsorted)) % 1.32/1.57 (define @t197 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t122 @t29)) % 1.32/1.57 (define @t198 () (@var "V_y_2" $$unsorted)) % 1.32/1.57 (define @t199 () (@var "V_b_2" $$unsorted)) % 1.32/1.57 (define @t200 () (tptp.hAPP @t32 @t199)) % 1.32/1.57 (define @t201 () (tptp.hAPP @t200 @t198)) % 1.32/1.57 (define @t202 () (tptp.hAPP @t200 @t100)) % 1.32/1.57 (define @t203 () (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t199)) % 1.32/1.57 (define @t204 () (@list @t198 @t100 @t199 @t31)) % 1.32/1.57 (define @t205 () (@var "V_z" $$unsorted)) % 1.32/1.57 (define @t206 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t205)) % 1.32/1.57 (define @t207 () (@var "V_w" $$unsorted)) % 1.32/1.57 (define @t208 () (@list @t205 @t207)) % 1.32/1.57 (define @t209 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t52 @t92)) % 1.32/1.57 (define @t210 () (tptp.hAPP @t35 (tptp.c_Groups_Ominus__class_Ominus @t31 @t53 @t30))) % 1.32/1.57 (define @t211 () (tptp.hAPP @t210 @t92)) % 1.32/1.57 (define @t212 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t64 @t148)) % 1.32/1.57 (define @t213 () (@list @t92 @t30 @t52 @t53 @t31)) % 1.32/1.57 (define @t214 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t122 @t29)) % 1.32/1.57 (define @t215 () (tptp.hAPP (tptp.hAPP @t62 @t58) @t56)) % 1.32/1.57 (define @t216 () (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t30)) % 1.32/1.57 (define @t217 () (tptp.hAPP (tptp.hAPP @t24 @t58) @t29)) % 1.32/1.57 (define @t218 () (tptp.hAPP @t32 @t53)) % 1.32/1.57 (define @t219 () (tptp.hAPP @t218 @t29)) % 1.32/1.57 (define @t220 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t219)) % 1.32/1.57 (define @t221 () (@list @t29 @t53 @t31)) % 1.32/1.57 (define @t222 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t38)) % 1.32/1.57 (define @t223 () (tptp.hAPP (tptp.hAPP @t32 @t160) @t29)) % 1.32/1.57 (define @t224 () (tptp.class_Rings_Oring__1 @t31)) % 1.32/1.57 (define @t225 () (tptp.c_Orderings_Oord__class_Oless @t31 @t30 @t38)) % 1.32/1.57 (define @t226 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t133)) % 1.32/1.57 (define @t227 () (tptp.hAPP (tptp.hAPP @t24 @t53) @t29)) % 1.32/1.57 (define @t228 () (@list @t29 @t53)) % 1.32/1.57 (define @t229 () (= @t100 @t198)) % 1.32/1.57 (define @t230 () (@list @t198 @t100 @t31)) % 1.32/1.57 (define @t231 () (tptp.hAPP @t35 @t34)) % 1.32/1.57 (define @t232 () (tptp.class_Groups_Ocomm__monoid__mult @t31)) % 1.32/1.57 (define @t233 () (tptp.class_RealVector_Oreal__normed__div__algebra @t31)) % 1.32/1.57 (define @t234 () (tptp.hAPP @t62 @t53)) % 1.32/1.57 (define @t235 () (tptp.hAPP @t234 @t52)) % 1.32/1.57 (define @t236 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t53 @t52)) % 1.32/1.57 (define @t237 () (= (tptp.c_RealVector_Oof__real @t31 @t236) (tptp.c_Groups_Oplus__class_Oplus @t31 @t85 @t88))) % 1.32/1.57 (define @t238 () (@var "V_ma_2" $$unsorted)) % 1.32/1.57 (define @t239 () (= @t238 @t98)) % 1.32/1.57 (define @t240 () (tptp.hAPP @t75 tptp.v_m____)) % 1.32/1.57 (define @t241 () (tptp.hAPP @t68 @t240)) % 1.32/1.57 (define @t242 () (tptp.hAPP @t76 @t241)) % 1.32/1.57 (define @t243 () (@var "B_w" $$unsorted)) % 1.32/1.57 (define @t244 () (@list @t243)) % 1.32/1.57 (define @t245 () (@var "B_m" $$unsorted)) % 1.32/1.57 (define @t246 () (forall @t72 (=> @t71 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t70 @t245)))) % 1.32/1.57 (define @t247 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t245)) % 1.32/1.57 (define @t248 () (@list @t245)) % 1.32/1.57 (define @t249 () (@var "V_v" $$unsorted)) % 1.32/1.57 (define @t250 () (@var "V_u" $$unsorted)) % 1.32/1.57 (define @t251 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP (tptp.hAPP @t35 @t250) @t53) (tptp.hAPP (tptp.hAPP @t35 @t249) @t52))) % 1.32/1.57 (define @t252 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t250 @t249) @t38)) % 1.32/1.57 (define @t253 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t249)) % 1.32/1.57 (define @t254 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t250)) % 1.32/1.57 (define @t255 () (@list @t249 @t250 @t52 @t30 @t53 @t31)) % 1.32/1.57 (define @t256 () (= @t53 @t82)) % 1.32/1.57 (define @t257 () (tptp.hAPP @t62 @t181)) % 1.32/1.57 (define @t258 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t181 @t10)) % 1.32/1.57 (define @t259 () (@var "V_d2" $$unsorted)) % 1.32/1.57 (define @t260 () (@var "B_e" $$unsorted)) % 1.32/1.57 (define @t261 () (tptp.hAPP @t77 tptp.v_c____)) % 1.32/1.57 (define @t262 () (= @t261 @t9)) % 1.32/1.57 (define @t263 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t77 @t243))) % 1.32/1.57 (define @t264 () (@var "V_t" $$unsorted)) % 1.32/1.57 (define @t265 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t53)) % 1.32/1.57 (define @t266 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_pa____)) % 1.32/1.57 (define @t267 () (= @t266 @t74)) % 1.32/1.57 (define @t268 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t240)) % 1.32/1.57 (define @t269 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t51)) % 1.32/1.57 (define @t270 () (@list @t51)) % 1.32/1.57 (define @t271 () (@var "B_n" $$unsorted)) % 1.32/1.57 (define @t272 () (@var "V_ka_2" $$unsorted)) % 1.32/1.57 (define @t273 () (@var "V_l_2" $$unsorted)) % 1.32/1.57 (define @t274 () (@list @t271)) % 1.32/1.57 (define @t275 () (@list @t273 @t272)) % 1.32/1.57 (define @t276 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t92)) % 1.32/1.57 (define @t277 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t30)) % 1.32/1.57 (define @t278 () (tptp.hAPP @t35 @t277)) % 1.32/1.57 (define @t279 () (tptp.hAPP @t278 @t276)) % 1.32/1.57 (define @t280 () (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t148) @t279)) % 1.32/1.57 (define @t281 () (tptp.class_Rings_Olinordered__idom @t31)) % 1.32/1.57 (define @t282 () (tptp.hAPP @t36 @t30)) % 1.32/1.57 (define @t283 () (tptp.hAPP (tptp.hAPP @t32 @t277) @t29)) % 1.32/1.57 (define @t284 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t34)) % 1.32/1.57 (define @t285 () (tptp.hAPP @t35 @t181)) % 1.32/1.57 (define @t286 () (@list @t179 @t92 @t181 @t30 @t31)) % 1.32/1.57 (define @t287 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t112)) % 1.32/1.57 (define @t288 () (tptp.c_Orderings_Oord__class_Oless @t31 @t287 @t199)) % 1.32/1.57 (define @t289 () (tptp.c_Orderings_Oord__class_Oless @t31 @t112 @t199)) % 1.32/1.57 (define @t290 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t112)) % 1.32/1.57 (define @t291 () (@list @t199 @t112 @t31)) % 1.32/1.57 (define @t292 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t53)) % 1.32/1.57 (define @t293 () (@list @t53)) % 1.32/1.57 (define @t294 () (@list @t52 @t53)) % 1.32/1.57 (define @t295 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t92 @t82)) % 1.32/1.57 (define @t296 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t30 @t82)) % 1.32/1.57 (define @t297 () (tptp.hAPP @t141 @t53)) % 1.32/1.57 (define @t298 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t53)) % 1.32/1.57 (define @t299 () (= @t53 @t10)) % 1.32/1.57 (define @t300 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t53)) % 1.32/1.57 (define @t301 () (tptp.c_RealVector_Oof__real @t31 @t51)) % 1.32/1.57 (define @t302 () (@list @t51 @t31)) % 1.32/1.57 (define @t303 () (tptp.c_Orderings_Oord__class_Oless @t31 @t52 @t53)) % 1.32/1.57 (define @t304 () (tptp.c_Orderings_Oord__class_Oless @t31 @t53 @t52)) % 1.32/1.57 (define @t305 () (not @t304)) % 1.32/1.57 (define @t306 () (= @t53 @t52)) % 1.32/1.57 (define @t307 () (not @t306)) % 1.32/1.57 (define @t308 () (=> @t307 (=> @t305 @t303))) % 1.32/1.57 (define @t309 () (= (tptp.hAPP @t174 @t30) @t82)) % 1.32/1.57 (define @t310 () (tptp.hAPP @t35 @t112)) % 1.32/1.57 (define @t311 () (tptp.hAPP @t310 @t199)) % 1.32/1.57 (define @t312 () (= @t148 @t82)) % 1.32/1.57 (define @t313 () (= @t92 @t82)) % 1.32/1.57 (define @t314 () (not @t313)) % 1.32/1.57 (define @t315 () (tptp.hAPP @t35 @t92)) % 1.32/1.57 (define @t316 () (tptp.hAPP @t315 @t181)) % 1.32/1.57 (define @t317 () (tptp.hAPP @t36 @t181)) % 1.32/1.57 (define @t318 () (tptp.hAPP @t35 @t184)) % 1.32/1.57 (define @t319 () (= (tptp.hAPP @t318 @t181) (tptp.c_Groups_Oplus__class_Oplus @t31 @t317 @t316))) % 1.32/1.57 (define @t320 () (@list @t181 @t92 @t30 @t31)) % 1.32/1.57 (define @t321 () (@var "V_e" $$unsorted)) % 1.32/1.57 (define @t322 () (tptp.class_Rings_Oring @t31)) % 1.32/1.57 (define @t323 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t199)) % 1.32/1.57 (define @t324 () (= @t112 @t323)) % 1.32/1.57 (define @t325 () (= @t112 @t199)) % 1.32/1.57 (define @t326 () (tptp.hAPP @t35 @t199)) % 1.32/1.57 (define @t327 () (tptp.class_Rings_Oidom @t31)) % 1.32/1.57 (define @t328 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t148 @t82)) % 1.32/1.57 (define @t329 () (tptp.class_Rings_Oordered__cancel__semiring @t31)) % 1.32/1.57 (define @t330 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t148)) % 1.32/1.57 (define @t331 () (tptp.class_Rings_Oordered__ring @t31)) % 1.32/1.57 (define @t332 () (tptp.hAPP @t315 @t179)) % 1.32/1.57 (define @t333 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t181)) % 1.32/1.57 (define @t334 () (=> @t333 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t317 @t332))) % 1.32/1.57 (define @t335 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t181 @t179)) % 1.32/1.57 (define @t336 () (tptp.class_Rings_Oordered__semiring @t31)) % 1.32/1.57 (define @t337 () (tptp.hAPP @t285 @t92)) % 1.32/1.57 (define @t338 () (tptp.hAPP @t285 @t30)) % 1.32/1.57 (define @t339 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t338 @t337)) % 1.32/1.57 (define @t340 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t181 @t82)) % 1.32/1.57 (define @t341 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t92 @t30)) % 1.32/1.57 (define @t342 () (@list @t181 @t30 @t92 @t31)) % 1.32/1.57 (define @t343 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t317 @t316)) % 1.32/1.57 (define @t344 () (=> @t127 (=> @t333 @t339))) % 1.32/1.57 (define @t345 () (tptp.hAPP @t315 @t30)) % 1.32/1.57 (define @t346 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t199)) % 1.32/1.57 (define @t347 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t112 @t82)) % 1.32/1.57 (define @t348 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t199 @t82)) % 1.32/1.57 (define @t349 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t112)) % 1.32/1.57 (define @t350 () (tptp.class_Rings_Olinordered__ring__strict @t31)) % 1.32/1.57 (define @t351 () (tptp.class_Rings_Olinordered__ring @t31)) % 1.32/1.57 (define @t352 () (tptp.c_Orderings_Oord__class_Oless @t31 @t199 @t112)) % 1.32/1.57 (define @t353 () (@var "V_ca_2" $$unsorted)) % 1.32/1.57 (define @t354 () (tptp.c_Orderings_Oord__class_Oless @t31 @t353 @t82)) % 1.32/1.57 (define @t355 () (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t353)) % 1.32/1.57 (define @t356 () (or (and @t355 @t289) (and @t354 @t352))) % 1.32/1.57 (define @t357 () (tptp.hAPP @t326 @t353)) % 1.32/1.57 (define @t358 () (tptp.hAPP @t310 @t353)) % 1.32/1.57 (define @t359 () (@list @t199 @t353 @t112 @t31)) % 1.32/1.57 (define @t360 () (tptp.hAPP @t35 @t353)) % 1.32/1.57 (define @t361 () (tptp.hAPP @t360 @t199)) % 1.32/1.57 (define @t362 () (tptp.hAPP @t360 @t112)) % 1.32/1.57 (define @t363 () (tptp.c_Orderings_Oord__class_Oless @t31 @t362 @t361)) % 1.32/1.57 (define @t364 () (@list @t199 @t112 @t353 @t31)) % 1.32/1.57 (define @t365 () (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t148)) % 1.32/1.57 (define @t366 () (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t92)) % 1.32/1.57 (define @t367 () (tptp.class_Rings_Olinordered__semiring__strict @t31)) % 1.32/1.57 (define @t368 () (tptp.c_Orderings_Oord__class_Oless @t31 @t148 @t82)) % 1.32/1.57 (define @t369 () (tptp.c_Orderings_Oord__class_Oless @t31 @t92 @t82)) % 1.32/1.57 (define @t370 () (=> @t216 @t366)) % 1.32/1.57 (define @t371 () (@list @t30 @t92 @t31)) % 1.32/1.57 (define @t372 () (tptp.c_Orderings_Oord__class_Oless @t31 @t30 @t82)) % 1.32/1.57 (define @t373 () (tptp.c_Orderings_Oord__class_Oless @t31 @t317 @t316)) % 1.32/1.57 (define @t374 () (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t181)) % 1.32/1.57 (define @t375 () (tptp.c_Orderings_Oord__class_Oless @t31 @t338 @t337)) % 1.32/1.57 (define @t376 () (=> @t139 (=> @t374 @t375))) % 1.32/1.57 (define @t377 () (tptp.c_Orderings_Oord__class_Oless @t31 @t181 @t82)) % 1.32/1.57 (define @t378 () (tptp.c_Orderings_Oord__class_Oless @t31 @t92 @t30)) % 1.32/1.57 (define @t379 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t181)) % 1.32/1.57 (define @t380 () (tptp.c_Orderings_Oord__class_Oless @t31 @t92 @t379)) % 1.32/1.57 (define @t381 () (tptp.c_Orderings_Oord__class_Oless @t31 @t92 @t181)) % 1.32/1.57 (define @t382 () (=> @t381 @t380)) % 1.32/1.57 (define @t383 () (tptp.hAPP @t35 @t122)) % 1.32/1.57 (define @t384 () (tptp.c_Orderings_Oord__class_Oless @t31 @t112 @t82)) % 1.32/1.57 (define @t385 () (@list @t112 @t31)) % 1.32/1.57 (define @t386 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t38)) % 1.32/1.57 (define @t387 () (@var "V_d_2" $$unsorted)) % 1.32/1.57 (define @t388 () (@var "V_e_2" $$unsorted)) % 1.32/1.57 (define @t389 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP (tptp.hAPP @t35 (tptp.c_Groups_Ominus__class_Ominus @t31 @t199 @t112)) @t388) @t387)) % 1.32/1.57 (define @t390 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t326 @t388) @t387)) % 1.32/1.57 (define @t391 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t310 @t388) @t353)) % 1.32/1.57 (define @t392 () (= @t391 @t390)) % 1.32/1.57 (define @t393 () (@list @t387 @t199 @t353 @t388 @t112 @t31)) % 1.32/1.57 (define @t394 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t112 @t199)) % 1.32/1.57 (define @t395 () (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP (tptp.hAPP @t35 @t394) @t388) @t353)) % 1.32/1.57 (define @t396 () (= @t100 @t38)) % 1.32/1.57 (define @t397 () (tptp.hAPP @t35 @t100)) % 1.32/1.57 (define @t398 () (tptp.hAPP @t397 @t100)) % 1.32/1.57 (define @t399 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t112 @t199)) % 1.32/1.57 (define @t400 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t362 @t361)) % 1.32/1.57 (define @t401 () (tptp.c_Orderings_Oord__class_Oless @t31 @t317 @t332)) % 1.32/1.57 (define @t402 () (=> @t333 @t401)) % 1.32/1.57 (define @t403 () (tptp.c_Orderings_Oord__class_Oless @t31 @t181 @t179)) % 1.32/1.57 (define @t404 () (=> @t333 @t139)) % 1.32/1.57 (define @t405 () (=> @t373 @t404)) % 1.32/1.57 (define @t406 () (tptp.class_Rings_Olinordered__semiring @t31)) % 1.32/1.57 (define @t407 () (@list @t92 @t181 @t30 @t31)) % 1.32/1.57 (define @t408 () (=> @t375 @t404)) % 1.32/1.57 (define @t409 () (@list @t92 @t30 @t181 @t31)) % 1.32/1.57 (define @t410 () (=> @t374 @t127)) % 1.32/1.57 (define @t411 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t52 @t38)) % 1.32/1.57 (define @t412 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t52)) % 1.32/1.57 (define @t413 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t38 @t38)) % 1.32/1.57 (define @t414 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t391 @t390)) % 1.32/1.57 (define @t415 () (tptp.c_Orderings_Oord__class_Oless @t31 @t391 @t390)) % 1.32/1.57 (define @t416 () (@list @t29)) % 1.32/1.57 (define @t417 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t73)) % 1.32/1.57 (define @t418 () (tptp.hAPP @t32 @t122)) % 1.32/1.57 (define @t419 () (tptp.hAPP @t418 @t29)) % 1.32/1.57 (define @t420 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t122 @t73)) % 1.32/1.57 (define @t421 () (@var "V_p" $$unsorted)) % 1.32/1.57 (define @t422 () (tptp.hAPP @t102 @t421)) % 1.32/1.57 (define @t423 () (tptp.hAPP @t167 @t421)) % 1.32/1.57 (define @t424 () (tptp.hAPP @t422 @t122)) % 1.32/1.57 (define @t425 () (= @t122 @t8)) % 1.32/1.57 (define @t426 () (not @t425)) % 1.32/1.57 (define @t427 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t122)) % 1.32/1.57 (define @t428 () (@var "V_l" $$unsorted)) % 1.32/1.57 (define @t429 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t428)) % 1.32/1.57 (define @t430 () (@var "V_j" $$unsorted)) % 1.32/1.57 (define @t431 () (@var "V_k" $$unsorted)) % 1.32/1.57 (define @t432 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t124 @t430)) % 1.32/1.57 (define @t433 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t432 @t431)) % 1.32/1.57 (define @t434 () (@list @t431 @t430 @t124)) % 1.32/1.57 (define @t435 () (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t92)) % 1.32/1.57 (define @t436 () (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t30)) % 1.32/1.57 (define @t437 () (= @t436 @t435)) % 1.32/1.57 (define @t438 () (tptp.class_Rings_Odivision__ring__inverse__zero @t31)) % 1.32/1.57 (define @t439 () (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t112)) % 1.32/1.57 (define @t440 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t436) @t30)) % 1.32/1.57 (define @t441 () (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t436) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t94))) % 1.32/1.57 (define @t442 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t53)) % 1.32/1.57 (define @t443 () (= (tptp.c_RealVector_Oof__real @t31 @t442) (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t85))) % 1.32/1.57 (define @t444 () (tptp.class_RealVector_Oreal__div__algebra @t31)) % 1.32/1.57 (define @t445 () (not @t299)) % 1.32/1.57 (define @t446 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t82) @t82)) % 1.32/1.57 (define @t447 () (= @t436 @t82)) % 1.32/1.57 (define @t448 () (tptp.class_Rings_Odivision__ring @t31)) % 1.32/1.57 (define @t449 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t34) (tptp.hAPP (tptp.hAPP @t32 @t436) @t29))) % 1.32/1.57 (define @t450 () (= (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t160) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t436))) % 1.32/1.57 (define @t451 () (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t148)) % 1.32/1.57 (define @t452 () (@var "V_x1" $$unsorted)) % 1.32/1.57 (define @t453 () (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t452)) % 1.32/1.57 (define @t454 () (tptp.hAPP @t62 @t250)) % 1.32/1.57 (define @t455 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t62 @t452) @t52) (tptp.hAPP @t234 @t250))) % 1.32/1.57 (define @t456 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t452)) % 1.32/1.57 (define @t457 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t53)) % 1.32/1.57 (define @t458 () (@list @t250 @t52 @t452 @t53)) % 1.32/1.57 (define @t459 () (tptp.hAPP @t62 @t442)) % 1.32/1.57 (define @t460 () (tptp.tc_Polynomial_Opoly @t31)) % 1.32/1.57 (define @t461 () (tptp.c_Groups_Ozero__class_Ozero @t460)) % 1.32/1.57 (define @t462 () (@var "V_pb_2" $$unsorted)) % 1.32/1.57 (define @t463 () (= @t462 @t461)) % 1.32/1.57 (define @t464 () (tptp.class_Groups_Ozero @t31)) % 1.32/1.57 (define @t465 () (@list @t462 @t31)) % 1.32/1.57 (define @t466 () (tptp.hAPP @t35 @t436)) % 1.32/1.57 (define @t467 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t436 @t435)) % 1.32/1.57 (define @t468 () (=> @t177 (= (tptp.hAPP @t466 @t30) @t38))) % 1.32/1.57 (define @t469 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t436 @t435)) % 1.32/1.57 (define @t470 () (@list @t122)) % 1.32/1.57 (define @t471 () (= @t122 @t29)) % 1.32/1.57 (define @t472 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t122 @t29)) % 1.32/1.57 (define @t473 () (= @t472 @t8)) % 1.32/1.57 (define @t474 () (@list @t29 @t122)) % 1.32/1.57 (define @t475 () (@list @t207)) % 1.32/1.57 (define @t476 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t207 @t205)) % 1.32/1.57 (define @t477 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t205 @t207)) % 1.32/1.57 (define @t478 () (@list @t207 @t205)) % 1.32/1.57 (define @t479 () (= @t205 @t207)) % 1.32/1.57 (define @t480 () (@var "V_P_2" $$unsorted)) % 1.32/1.57 (define @t481 () (tptp.hBOOL (tptp.hAPP (tptp.hAPP @t480 @t98) @t238))) % 1.32/1.57 (define @t482 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t98 @t238)) % 1.32/1.57 (define @t483 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t238 @t98)) % 1.32/1.57 (define @t484 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t428 @t122)) % 1.32/1.57 (define @t485 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t428 @t29)) % 1.32/1.57 (define @t486 () (@list @t428 @t29 @t122)) % 1.32/1.57 (define @t487 () (not @t471)) % 1.32/1.57 (define @t488 () (@list @t122 @t29)) % 1.32/1.57 (define @t489 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t53 @t52)) % 1.32/1.57 (define @t490 () (not @t239)) % 1.32/1.57 (define @t491 () (@list @t98 @t238)) % 1.32/1.57 (define @t492 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t431)) % 1.32/1.57 (define @t493 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t122 @t431)) % 1.32/1.57 (define @t494 () (@list @t29 @t431 @t122)) % 1.32/1.57 (define @t495 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t431 @t29)) % 1.32/1.57 (define @t496 () (@list @t29 @t122 @t431)) % 1.32/1.57 (define @t497 () (@list @t98 @t272 @t238)) % 1.32/1.57 (define @t498 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t272 @t98)) % 1.32/1.57 (define @t499 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t272 @t238)) % 1.32/1.57 (define @t500 () (@list @t98 @t238 @t272)) % 1.32/1.57 (define @t501 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t430 @t431)) % 1.32/1.57 (define @t502 () (@list @t431 @t29 @t122)) % 1.32/1.57 (define @t503 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t122)) % 1.32/1.57 (define @t504 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t52 @t205)) % 1.32/1.57 (define @t505 () (@list @t205 @t52 @t53)) % 1.32/1.57 (define @t506 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t238 @t98)) % 1.32/1.57 (define @t507 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t272)) % 1.32/1.57 (define @t508 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t238 @t272)) % 1.32/1.57 (define @t509 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t272 @t98)) % 1.32/1.57 (define @t510 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t272 @t238)) % 1.32/1.57 (define @t511 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t431 @t29)) % 1.32/1.57 (define @t512 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t122)) % 1.32/1.57 (define @t513 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t124 @t430)) % 1.32/1.57 (define @t514 () (tptp.hAPP @t62 @t205)) % 1.32/1.57 (define @t515 () (@var "V_z3" $$unsorted)) % 1.32/1.57 (define @t516 () (@var "V_z2" $$unsorted)) % 1.32/1.57 (define @t517 () (tptp.hAPP @t62 @t516)) % 1.32/1.57 (define @t518 () (@var "V_z1" $$unsorted)) % 1.32/1.57 (define @t519 () (tptp.hAPP @t62 @t518)) % 1.32/1.57 (define @t520 () (@list @t515 @t516 @t518)) % 1.32/1.57 (define @t521 () (tptp.hAPP @t167 @t29)) % 1.32/1.57 (define @t522 () (tptp.hAPP @t521 @t431)) % 1.32/1.57 (define @t523 () (tptp.hAPP @t168 @t431)) % 1.32/1.57 (define @t524 () (tptp.hAPP @t167 @t431)) % 1.32/1.57 (define @t525 () (tptp.hAPP @t524 @t29)) % 1.32/1.57 (define @t526 () (tptp.hAPP @t524 @t122)) % 1.32/1.57 (define @t527 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t98)) % 1.32/1.57 (define @t528 () (@list @t98)) % 1.32/1.57 (define @t529 () (@list @t238 @t98)) % 1.32/1.57 (define @t530 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t100 @t198)) % 1.32/1.57 (define @t531 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t100 @t198)) % 1.32/1.57 (define @t532 () (@list @t198 @t100)) % 1.32/1.57 (define @t533 () (not @t229)) % 1.32/1.57 (define @t534 () (= @t238 @t8)) % 1.32/1.57 (define @t535 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t238 @t98)) % 1.32/1.57 (define @t536 () (tptp.hAPP @t167 @t238)) % 1.32/1.57 (define @t537 () (tptp.hAPP @t536 @t98)) % 1.32/1.57 (define @t538 () (= @t272 @t8)) % 1.32/1.57 (define @t539 () (or @t239 @t538)) % 1.32/1.57 (define @t540 () (tptp.hAPP @t167 @t272)) % 1.32/1.57 (define @t541 () (tptp.hAPP @t540 @t98)) % 1.32/1.57 (define @t542 () (tptp.hAPP @t540 @t238)) % 1.32/1.57 (define @t543 () (= @t542 @t541)) % 1.32/1.57 (define @t544 () (tptp.hAPP (tptp.hAPP @t167 @t98) @t272)) % 1.32/1.57 (define @t545 () (tptp.hAPP @t536 @t272)) % 1.32/1.57 (define @t546 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t124 @t430)) % 1.32/1.57 (define @t547 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t431 @t428)) % 1.32/1.57 (define @t548 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t430 @t428)) % 1.32/1.57 (define @t549 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t124 @t431)) % 1.32/1.57 (define @t550 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t124 @t430)) % 1.32/1.57 (define @t551 () (@list @t428 @t431 @t430 @t124)) % 1.32/1.57 (define @t552 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t122 @t430)) % 1.32/1.57 (define @t553 () (@list @t122 @t430 @t124)) % 1.32/1.57 (define @t554 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t430 @t122)) % 1.32/1.57 (define @t555 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t472) @t122)) % 1.32/1.57 (define @t556 () (@var "V_j_2" $$unsorted)) % 1.32/1.57 (define @t557 () (@var "V_i_2" $$unsorted)) % 1.32/1.57 (define @t558 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t557 @t272)) % 1.32/1.57 (define @t559 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t556 @t272)) % 1.32/1.57 (define @t560 () (@list @t272 @t556 @t557)) % 1.32/1.57 (define @t561 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t430 @t124)) % 1.32/1.57 (define @t562 () (not (= @t353 @t10))) % 1.32/1.57 (define @t563 () (@list @t199 @t112 @t353)) % 1.32/1.57 (define @t564 () (tptp.hAPP @t62 @t353)) % 1.32/1.57 (define @t565 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t493 @t29)) % 1.32/1.57 (define @t566 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t431 @t428)) % 1.32/1.57 (define @t567 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t430 @t431)) % 1.32/1.57 (define @t568 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t567 @t124)) % 1.32/1.57 (define @t569 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t561 @t431)) % 1.32/1.57 (define @t570 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t431 @t430)) % 1.32/1.57 (define @t571 () (@list @t124 @t430 @t431)) % 1.32/1.57 (define @t572 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t124 @t567)) % 1.32/1.57 (define @t573 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t546 @t431)) % 1.32/1.57 (define @t574 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t556 @t557)) % 1.32/1.57 (define @t575 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t557 @t556)) % 1.32/1.57 (define @t576 () (@var "B_k" $$unsorted)) % 1.32/1.57 (define @t577 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t52)) % 1.32/1.57 (define @t578 () (tptp.hAPP @t167 @t430)) % 1.32/1.57 (define @t579 () (tptp.hAPP @t167 @t124)) % 1.32/1.57 (define @t580 () (tptp.hAPP @t579 @t431)) % 1.32/1.57 (define @t581 () (tptp.hAPP @t524 @t430)) % 1.32/1.57 (define @t582 () (tptp.hAPP @t524 @t124)) % 1.32/1.57 (define @t583 () (tptp.hAPP @t578 @t431)) % 1.32/1.57 (define @t584 () (tptp.hAPP @t168 @t122)) % 1.32/1.57 (define @t585 () (@list @t205)) % 1.32/1.57 (define @t586 () (@list @t207 @t516 @t518)) % 1.32/1.57 (define @t587 () (and (= @t238 @t73) (= @t98 @t73))) % 1.32/1.57 (define @t588 () (= @t198 @t82)) % 1.32/1.57 (define @t589 () (and @t108 @t588)) % 1.32/1.57 (define @t590 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t398 (tptp.hAPP (tptp.hAPP @t35 @t198) @t198))) % 1.32/1.57 (define @t591 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t100)) % 1.32/1.57 (define @t592 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t100 @t198) @t82)) % 1.32/1.57 (define @t593 () (tptp.class_Groups_Ogroup__add @t31)) % 1.32/1.57 (define @t594 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t238)) % 1.32/1.57 (define @t595 () (@var "B_d" $$unsorted)) % 1.32/1.57 (define @t596 () (tptp.hBOOL (tptp.hAPP @t480 @t595))) % 1.32/1.57 (define @t597 () (= @t112 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t199 @t595))) % 1.32/1.57 (define @t598 () (@list @t595)) % 1.32/1.57 (define @t599 () (tptp.hBOOL (tptp.hAPP @t480 @t8))) % 1.32/1.57 (define @t600 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t112 @t199)) % 1.32/1.57 (define @t601 () (tptp.hBOOL (tptp.hAPP @t480 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t112 @t199)))) % 1.32/1.57 (define @t602 () (@list @t199 @t112 @t480)) % 1.32/1.57 (define @t603 () (@var "V_z_2" $$unsorted)) % 1.32/1.57 (define @t604 () (tptp.hAPP @t62 @t198)) % 1.32/1.57 (define @t605 () (tptp.hAPP @t604 @t603)) % 1.32/1.57 (define @t606 () (tptp.hAPP @t62 @t100)) % 1.32/1.57 (define @t607 () (tptp.hAPP @t606 @t603)) % 1.32/1.57 (define @t608 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t603)) % 1.32/1.57 (define @t609 () (@list @t198 @t100 @t603)) % 1.32/1.57 (define @t610 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t272)) % 1.32/1.57 (define @t611 () (and @t610 @t483)) % 1.32/1.57 (define @t612 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t542 @t541)) % 1.32/1.57 (define @t613 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t431)) % 1.32/1.57 (define @t614 () (tptp.hAPP @t606 @t100)) % 1.32/1.57 (define @t615 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t100)) % 1.32/1.57 (define @t616 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t100 @t198)) % 1.32/1.57 (define @t617 () (@list @t112 @t100)) % 1.32/1.57 (define @t618 () (@var "V_r_2" $$unsorted)) % 1.32/1.57 (define @t619 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t53 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t52))) % 1.32/1.57 (define @t620 () (tptp.hAPP @t63 @t53)) % 1.32/1.57 (define @t621 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t620 (tptp.hAPP @t141 @t52))) % 1.32/1.57 (define @t622 () (tptp.hAPP @t62 @t603)) % 1.32/1.57 (define @t623 () (=> @t610 @t506)) % 1.32/1.57 (define @t624 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t542 @t541)) % 1.32/1.57 (define @t625 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t30)) % 1.32/1.57 (define @t626 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t30 @t10)) % 1.32/1.57 (define @t627 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 @t10)) % 1.32/1.57 (define @t628 () (@var "B_t" $$unsorted)) % 1.32/1.57 (define @t629 () (tptp.hAPP @t77 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex tptp.v_c____ @t3))) % 1.32/1.57 (define @t630 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex tptp.v_q____)) % 1.32/1.57 (define @t631 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t462)) % 1.32/1.57 (define @t632 () (@var "B_q" $$unsorted)) % 1.32/1.57 (define @t633 () (forall @t6 (= (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t632) @t3) @t629))) % 1.32/1.57 (define @t634 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t632)) % 1.32/1.57 (define @t635 () (= @t634 @t266)) % 1.32/1.57 (define @t636 () (@list @t632)) % 1.32/1.57 (define @t637 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex tptp.v_q____)) % 1.32/1.57 (define @t638 () (tptp.hAPP @t630 @t9)) % 1.32/1.57 (define @t639 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t638)) % 1.32/1.57 (define @t640 () (tptp.c_Polynomial_Osmult tptp.tc_Complex_Ocomplex (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_Complex_Ocomplex @t638) tptp.v_q____)) % 1.32/1.57 (define @t641 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t640)) % 1.32/1.57 (define @t642 () (@var "V_u_2" $$unsorted)) % 1.32/1.57 (define @t643 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t167 @t574) @t642) @t98)) % 1.32/1.57 (define @t644 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t167 @t556) @t642) @t98)) % 1.32/1.57 (define @t645 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t167 @t557) @t642) @t238)) % 1.32/1.57 (define @t646 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t645 @t644)) % 1.32/1.57 (define @t647 () (@list @t98 @t238 @t642 @t556 @t557)) % 1.32/1.57 (define @t648 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t167 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t557 @t556)) @t642) @t238)) % 1.32/1.57 (define @t649 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t556 @t557)) % 1.32/1.57 (define @t650 () (@list @t98 @t238 @t642 @t557 @t556)) % 1.32/1.57 (define @t651 () (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t100)) % 1.32/1.57 (define @t652 () (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t100)) % 1.32/1.57 (define @t653 () (tptp.class_Fields_Olinordered__field__inverse__zero @t31)) % 1.32/1.57 (define @t654 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t640)) % 1.32/1.57 (define @t655 () (tptp.hAPP @t654 @t9)) % 1.32/1.57 (define @t656 () (tptp.hAPP @t654 @t69)) % 1.32/1.57 (define @t657 () (@var "V_wa_2" $$unsorted)) % 1.32/1.57 (define @t658 () (tptp.hAPP @t16 @t69)) % 1.32/1.57 (define @t659 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t92 @t179)) % 1.32/1.57 (define @t660 () (tptp.class_Groups_Oab__group__add @t31)) % 1.32/1.57 (define @t661 () (tptp.class_Fields_Ofield__inverse__zero @t31)) % 1.32/1.57 (define @t662 () (tptp.hAPP @t578 @t250)) % 1.32/1.57 (define @t663 () (tptp.hAPP @t579 @t250)) % 1.32/1.57 (define @t664 () (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t436) (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t277))) % 1.32/1.57 (define @t665 () (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t112)) % 1.32/1.57 (define @t666 () (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t436)) % 1.32/1.57 (define @t667 () (tptp.class_Fields_Olinordered__field @t31)) % 1.32/1.57 (define @t668 () (tptp.c_Orderings_Oord__class_Oless @t31 @t436 @t82)) % 1.32/1.57 (define @t669 () (tptp.c_Orderings_Oord__class_Oless @t31 @t435 @t436)) % 1.32/1.57 (define @t670 () (tptp.c_Orderings_Oord__class_Oless @t31 @t436 @t435)) % 1.32/1.57 (define @t671 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t435 @t436)) % 1.32/1.57 (define @t672 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t436 @t435)) % 1.32/1.57 (define @t673 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t100 @t82)) % 1.32/1.57 (define @t674 () (tptp.class_Fields_Ofield @t31)) % 1.32/1.57 (define @t675 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t645 @t644)) % 1.32/1.57 (define @t676 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t663 @t122) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t662 @t29))) % 1.32/1.57 (define @t677 () (= @t645 @t644)) % 1.32/1.57 (define @t678 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t277 @t276)) % 1.32/1.57 (define @t679 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t95)) % 1.32/1.57 (define @t680 () (tptp.class_Groups_Oordered__ab__group__add__abs @t31)) % 1.32/1.57 (define @t681 () (= @t421 @t461)) % 1.32/1.57 (define @t682 () (tptp.c_Polynomial_OpCons @t31 @t30 @t421)) % 1.32/1.57 (define @t683 () (tptp.c_Polynomial_Osmult @t31 @t181 @t421)) % 1.32/1.57 (define @t684 () (tptp.class_Rings_Ocomm__semiring__0 @t31)) % 1.32/1.57 (define @t685 () (@list @t30 @t421 @t181 @t31)) % 1.32/1.57 (define @t686 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t92 @t181)) % 1.32/1.57 (define @t687 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t184 @t181)) % 1.32/1.57 (define @t688 () (= @t687 (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t686))) % 1.32/1.57 (define @t689 () (= @t199 @t353)) % 1.32/1.57 (define @t690 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t112 @t353)) % 1.32/1.57 (define @t691 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t112 @t199)) % 1.32/1.57 (define @t692 () (tptp.class_Groups_Ocancel__semigroup__add @t31)) % 1.32/1.57 (define @t693 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t353 @t112)) % 1.32/1.57 (define @t694 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t199 @t112)) % 1.32/1.57 (define @t695 () (= @t92 @t181)) % 1.32/1.57 (define @t696 () (=> (= @t184 @t379) @t695)) % 1.32/1.57 (define @t697 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t181 @t30)) % 1.32/1.57 (define @t698 () (= @t353 @t387)) % 1.32/1.57 (define @t699 () (= @t394 (tptp.c_Groups_Ominus__class_Ominus @t31 @t353 @t387))) % 1.32/1.57 (define @t700 () (@list @t387 @t353 @t199 @t112 @t31)) % 1.32/1.57 (define @t701 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t82 @t30) @t30)) % 1.32/1.57 (define @t702 () (tptp.class_Groups_Omonoid__add @t31)) % 1.32/1.57 (define @t703 () (tptp.class_Groups_Ocomm__monoid__add @t31)) % 1.32/1.57 (define @t704 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t112 @t112)) % 1.32/1.57 (define @t705 () (tptp.class_Groups_Olinordered__ab__group__add @t31)) % 1.32/1.57 (define @t706 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t82) @t30)) % 1.32/1.57 (define @t707 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t199 @t353)) % 1.32/1.57 (define @t708 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t31)) % 1.32/1.57 (define @t709 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t353 @t199)) % 1.32/1.57 (define @t710 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t379 @t686)) % 1.32/1.57 (define @t711 () (tptp.class_Groups_Oordered__ab__semigroup__add @t31)) % 1.32/1.57 (define @t712 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t181 @t92)) % 1.32/1.57 (define @t713 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t697 @t712)) % 1.32/1.57 (define @t714 () (tptp.c_Orderings_Oord__class_Oless @t31 @t379 @t686)) % 1.32/1.57 (define @t715 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t31)) % 1.32/1.57 (define @t716 () (tptp.c_Orderings_Oord__class_Oless @t31 @t697 @t712)) % 1.32/1.57 (define @t717 () (tptp.c_Orderings_Oord__class_Oless @t31 @t379 @t659)) % 1.32/1.57 (define @t718 () (=> @t403 @t717)) % 1.32/1.57 (define @t719 () (= @t394 @t82)) % 1.32/1.57 (define @t720 () (tptp.class_Groups_Oordered__ab__group__add @t31)) % 1.32/1.57 (define @t721 () (= (tptp.hAPP (tptp.hAPP @t35 @t38) @t30) @t30)) % 1.32/1.57 (define @t722 () (= (tptp.hAPP @t36 @t38) @t30)) % 1.32/1.57 (define @t723 () (@list @t112 @t199 @t31)) % 1.32/1.57 (define @t724 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t287 @t199)) % 1.32/1.57 (define @t725 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t184)) % 1.32/1.57 (define @t726 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t95)) % 1.32/1.57 (define @t727 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t277 @t92)) % 1.32/1.57 (define @t728 () (tptp.c_Groups_Oabs__class_Oabs @t31 @t165)) % 1.32/1.57 (define @t729 () (tptp.class_Groups_Oordered__comm__monoid__add @t31)) % 1.32/1.57 (define @t730 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t92 @t379)) % 1.32/1.57 (define @t731 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t92 @t181)) % 1.32/1.57 (define @t732 () (= (tptp.c_Orderings_Oord__class_Oless @t31 @t704 @t82) @t384)) % 1.32/1.57 (define @t733 () (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t184)) % 1.32/1.57 (define @t734 () (=> @t366 @t733)) % 1.32/1.57 (define @t735 () (tptp.c_Orderings_Oord__class_Oless @t31 @t184 @t82)) % 1.32/1.57 (define @t736 () (=> @t369 @t735)) % 1.32/1.57 (define @t737 () (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t160 @t30) @t82)) % 1.32/1.57 (define @t738 () (= @t277 @t30)) % 1.32/1.57 (define @t739 () (= @t95 (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t163))) % 1.32/1.57 (define @t740 () (tptp.c_Groups_Ominus__class_Ominus @t31 @t277 @t276)) % 1.32/1.57 (define @t741 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t160 @t92)) % 1.32/1.57 (define @t742 () (= @t277 @t160)) % 1.32/1.57 (define @t743 () (=> @t372 @t742)) % 1.32/1.57 (define @t744 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t20 (tptp.c_Polynomial_Omonom tptp.tc_Complex_Ocomplex tptp.v_a____ (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat tptp.v_k____ @t73)))) % 1.32/1.57 (define @t745 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t744)) % 1.32/1.57 (define @t746 () (tptp.c_Polynomial_Opoly @t31 @t421)) % 1.32/1.57 (define @t747 () (tptp.hAPP @t746 @t53)) % 1.32/1.57 (define @t748 () (@list @t53 @t421 @t30 @t31)) % 1.32/1.57 (define @t749 () (@var "V_q" $$unsorted)) % 1.32/1.57 (define @t750 () (tptp.c_Groups_Otimes__class_Otimes @t460)) % 1.32/1.57 (define @t751 () (tptp.hAPP @t750 @t749)) % 1.32/1.57 (define @t752 () (tptp.hAPP @t750 @t421)) % 1.32/1.57 (define @t753 () (tptp.c_Groups_Oplus__class_Oplus @t460 @t421 @t749)) % 1.32/1.57 (define @t754 () (tptp.c_Polynomial_Omonom @t31 @t112 @t98)) % 1.32/1.57 (define @t755 () (tptp.c_Polynomial_Omonom @t31 @t30 @t29)) % 1.32/1.57 (define @t756 () (tptp.c_Polynomial_Omonom @t31 @t92 @t29)) % 1.32/1.57 (define @t757 () (tptp.class_Rings_Ocomm__semiring__1 @t31)) % 1.32/1.57 (define @t758 () (tptp.c_Polynomial_OpCons @t31 @t30 @t461)) % 1.32/1.57 (define @t759 () (@var "V_qa_2" $$unsorted)) % 1.32/1.57 (define @t760 () (= @t462 @t759)) % 1.32/1.57 (define @t761 () (tptp.c_Polynomial_Opoly @t31 @t462)) % 1.32/1.57 (define @t762 () (and (tptp.class_Int_Oring__char__0 @t31) @t327)) % 1.32/1.57 (define @t763 () (@list @t749 @t31)) % 1.32/1.57 (define @t764 () (@list @t421 @t31)) % 1.32/1.57 (define @t765 () (tptp.c_Groups_Oabs__class_Oabs @t460 @t53)) % 1.32/1.57 (define @t766 () (tptp.c_Orderings_Oord__class_Oless @t460 @t53 @t461)) % 1.32/1.57 (define @t767 () (tptp.c_Polynomial_OpCons @t31 @t112 @t462)) % 1.32/1.57 (define @t768 () (tptp.c_Polynomial_Osmult @t31 @t30 @t421)) % 1.32/1.57 (define @t769 () (tptp.c_Groups_Ouminus__class_Ouminus @t460 @t768)) % 1.32/1.57 (define @t770 () (tptp.c_Groups_Ouminus__class_Ouminus @t460 @t421)) % 1.32/1.57 (define @t771 () (tptp.class_Rings_Ocomm__ring @t31)) % 1.32/1.57 (define @t772 () (@list @t421 @t30 @t31)) % 1.32/1.57 (define @t773 () (tptp.hAPP @t752 @t749)) % 1.32/1.57 (define @t774 () (tptp.c_Polynomial_Osmult @t31 @t30 @t773)) % 1.32/1.57 (define @t775 () (tptp.c_Polynomial_Osmult @t31 @t30 @t749)) % 1.32/1.57 (define @t776 () (@list @t749 @t30 @t421 @t31)) % 1.32/1.57 (define @t777 () (@list @t749 @t421 @t30 @t31)) % 1.32/1.57 (define @t778 () (tptp.c_Groups_Ominus__class_Ominus @t460 @t421 @t749)) % 1.32/1.57 (define @t779 () (tptp.class_Rings_Ocomm__ring__1 @t31)) % 1.32/1.57 (define @t780 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t749) @t53)) % 1.32/1.57 (define @t781 () (@list @t53 @t749 @t421 @t31)) % 1.32/1.57 (define @t782 () (tptp.c_Groups_Oone__class_Oone @t460)) % 1.32/1.57 (define @t783 () (tptp.c_Polynomial_OpCons @t31 @t92 @t749)) % 1.32/1.57 (define @t784 () (@list @t749 @t92 @t421 @t30 @t31)) % 1.32/1.57 (define @t785 () (tptp.c_Power_Opower__class_Opower @t460)) % 1.32/1.57 (define @t786 () (tptp.c_Polynomial_Osmult @t31 @t92 @t421)) % 1.32/1.57 (define @t787 () (@list @t421 @t92 @t30 @t31)) % 1.32/1.57 (define @t788 () (tptp.tc_Polynomial_Opoly @t196)) % 1.32/1.57 (define @t789 () (tptp.c_Polynomial_Opoly @t31 @t461)) % 1.32/1.57 (define @t790 () (@list @t462 @t112 @t31)) % 1.32/1.57 (define @t791 () (tptp.c_Polynomial_OpCons @t31 @t38 @t461)) % 1.32/1.57 (define @t792 () (tptp.c_Polynomial_OpCons @t31 @t82 @t773)) % 1.32/1.57 (define @t793 () (tptp.hAPP @t746 @t181)) % 1.32/1.57 (define @t794 () (tptp.c_Polynomial_Osynthetic__div @t31 @t421 @t181)) % 1.32/1.57 (define @t795 () (tptp.c_Polynomial_OpCons @t31 @t793 @t794)) % 1.32/1.57 (define @t796 () (@list @t100)) % 1.32/1.57 (define @t797 () (tptp.hAPP @t218 @t749)) % 1.32/1.57 (define @t798 () (tptp.hAPP @t218 @t421)) % 1.32/1.57 (define @t799 () (@list @t749 @t421 @t53 @t31)) % 1.32/1.57 (define @t800 () (@var "V_ry" $$unsorted)) % 1.32/1.57 (define @t801 () (@var "V_ly" $$unsorted)) % 1.32/1.57 (define @t802 () (tptp.hAPP @t35 @t801)) % 1.32/1.57 (define @t803 () (@var "V_rx" $$unsorted)) % 1.32/1.57 (define @t804 () (@var "V_lx" $$unsorted)) % 1.32/1.57 (define @t805 () (tptp.hAPP @t35 @t804)) % 1.32/1.57 (define @t806 () (tptp.hAPP @t35 (tptp.hAPP @t805 @t803))) % 1.32/1.57 (define @t807 () (tptp.hAPP @t35 @t803)) % 1.32/1.57 (define @t808 () (tptp.hAPP @t807 @t800)) % 1.32/1.57 (define @t809 () (tptp.hAPP @t35 (tptp.hAPP @t805 @t801))) % 1.32/1.57 (define @t810 () (tptp.hAPP @t809 @t808)) % 1.32/1.57 (define @t811 () (@list @t800 @t803 @t801 @t804 @t31)) % 1.32/1.57 (define @t812 () (tptp.hAPP @t809 @t803)) % 1.32/1.57 (define @t813 () (@list @t803 @t801 @t804 @t31)) % 1.32/1.57 (define @t814 () (tptp.hAPP @t805 @t808)) % 1.32/1.57 (define @t815 () (@list @t800 @t803 @t804 @t31)) % 1.32/1.57 (define @t816 () (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t183)) % 1.32/1.57 (define @t817 () (@list @t179 @t181 @t30 @t31)) % 1.32/1.57 (define @t818 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t31)) % 1.32/1.57 (define @t819 () (tptp.hAPP @t35 @t657)) % 1.32/1.57 (define @t820 () (tptp.hAPP @t36 @t122)) % 1.32/1.57 (define @t821 () (@list @t205 @t52 @t53 @t31)) % 1.32/1.57 (define @t822 () (tptp.hAPP @t35 @t51)) % 1.32/1.57 (define @t823 () (tptp.hAPP (tptp.hAPP @t35 @t386) @t122)) % 1.32/1.57 (define @t824 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t52)) % 1.32/1.57 (define @t825 () (tptp.c_Polynomial_Opcompose @t31 @t421 @t749)) % 1.32/1.57 (define @t826 () (@var "B_K" $$unsorted)) % 1.32/1.57 (define @t827 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 (tptp.c_RealVector_Oof__real @t31 @t3)) (tptp.hAPP (tptp.hAPP @t62 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t3)) @t826)))) % 1.32/1.57 (define @t828 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t826)) % 1.32/1.57 (define @t829 () (@list @t826)) % 1.32/1.57 (define @t830 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.32/1.57 (define @t831 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.32/1.57 (define @t832 () (tptp.hAPP @t831 @t53)) % 1.32/1.57 (define @t833 () (tptp.hAPP @t832 @t52)) % 1.32/1.57 (define @t834 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.32/1.57 (define @t835 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t124)) % 1.32/1.57 (define @t836 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t124 @t830)) % 1.32/1.57 (define @t837 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.32/1.57 (define @t838 () (@list @t603)) % 1.32/1.57 (define @t839 () (tptp.hAPP @t834 @t431)) % 1.32/1.57 (define @t840 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t124 @t430)) % 1.32/1.57 (define @t841 () (tptp.hAPP @t834 @t205)) % 1.32/1.57 (define @t842 () (tptp.hAPP @t834 @t207)) % 1.32/1.57 (define @t843 () (tptp.hAPP @t841 @t207)) % 1.32/1.57 (define @t844 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t205)) % 1.32/1.57 (define @t845 () (tptp.hAPP @t834 @t516)) % 1.32/1.57 (define @t846 () (tptp.hAPP @t834 @t518)) % 1.32/1.57 (define @t847 () (tptp.hAPP @t845 @t207)) % 1.32/1.57 (define @t848 () (tptp.hAPP @t846 @t207)) % 1.32/1.57 (define @t849 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t518 @t516)) % 1.32/1.57 (define @t850 () (tptp.hAPP @t842 @t516)) % 1.32/1.57 (define @t851 () (tptp.hAPP @t842 @t518)) % 1.32/1.57 (define @t852 () (@list @t516 @t518 @t207)) % 1.32/1.57 (define @t853 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t657 @t603)) % 1.32/1.57 (define @t854 () (@list @t603 @t657)) % 1.32/1.57 (define @t855 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t207 @t205)) % 1.32/1.57 (define @t856 () (@var "V_z_H" $$unsorted)) % 1.32/1.57 (define @t857 () (@var "V_w_H" $$unsorted)) % 1.32/1.57 (define @t858 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t518 @t516)) % 1.32/1.57 (define @t859 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t657 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t603 @t837))) % 1.32/1.57 (define @t860 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t837 @t205)) % 1.32/1.57 (define @t861 () (tptp.hAPP @t12 tptp.c_Complex_Oii)) % 1.32/1.57 (define @t862 () (tptp.hAPP (tptp.hAPP @t834 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t53 @t205)) @t837)) @t179)) % 1.32/1.57 (define @t863 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t830 @t179)) % 1.32/1.57 (define @t864 () (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t207)) % 1.32/1.57 (define @t865 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t205 @t207)) % 1.32/1.57 (define @t866 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t205 @t207)) % 1.32/1.57 (define @t867 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t205 @t864)) % 1.32/1.57 (define @t868 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t207 @t205)) % 1.32/1.57 (define @t869 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t205 @t207)) % 1.32/1.57 (define @t870 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t124 @t430)) % 1.32/1.57 (define @t871 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 @t51)) % 1.32/1.57 (define @t872 () (= @t30 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t51 (tptp.hAPP (tptp.hAPP @t834 @t30) @t749)))) % 1.32/1.57 (define @t873 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t830 @t30)) % 1.32/1.57 (define @t874 () (@list @t749 @t51 @t30)) % 1.32/1.57 (define @t875 () (@var "V_q_H" $$unsorted)) % 1.32/1.57 (define @t876 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t875 @t749)) % 1.32/1.57 (define @t877 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t155 @t92)) % 1.32/1.57 (define @t878 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t830 @t155)) % 1.32/1.57 (define @t879 () (@var "V_r_H" $$unsorted)) % 1.32/1.57 (define @t880 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 @t879)) % 1.32/1.57 (define @t881 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t51 @t92)) % 1.32/1.57 (define @t882 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t834 @t155) @t875) @t879)) % 1.32/1.57 (define @t883 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t882 @t830)) % 1.32/1.57 (define @t884 () (tptp.hAPP @t834 @t92)) % 1.32/1.57 (define @t885 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t884 @t749) @t51)) % 1.32/1.57 (define @t886 () (= @t885 @t882)) % 1.32/1.57 (define @t887 () (@list @t879 @t875 @t155 @t51 @t749 @t92)) % 1.32/1.57 (define @t888 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t749 @t875)) % 1.32/1.57 (define @t889 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t884 @t875) @t879) @t885)) % 1.32/1.57 (define @t890 () (@list @t51 @t749 @t879 @t875 @t92)) % 1.32/1.57 (define @t891 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t879 @t155)) % 1.32/1.57 (define @t892 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 @t882)) % 1.32/1.57 (define @t893 () (@list @t879 @t875 @t155)) % 1.32/1.57 (define @t894 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 @t53)) % 1.32/1.57 (define @t895 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 @t52)) % 1.32/1.57 (define @t896 () (tptp.class_Orderings_Opreorder @t31)) % 1.32/1.57 (define @t897 () (tptp.tc_fun @t31 @t196)) % 1.32/1.57 (define @t898 () (tptp.c_Orderings_Oord__class_Oless__eq @t897 @t2 @t1)) % 1.32/1.57 (define @t899 () (tptp.class_Orderings_Oord @t196)) % 1.32/1.57 (define @t900 () (@list @t1 @t2 @t31 @t196)) % 1.32/1.57 (define @t901 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t52 @t53)) % 1.32/1.57 (define @t902 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t53 @t52)) % 1.32/1.57 (define @t903 () (tptp.class_Orderings_Olinorder @t31)) % 1.32/1.57 (define @t904 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t198 @t100)) % 1.32/1.57 (define @t905 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t100 @t198)) % 1.32/1.57 (define @t906 () (tptp.class_Orderings_Oorder @t31)) % 1.32/1.57 (define @t907 () (= @t905 @t229)) % 1.32/1.57 (define @t908 () (@list @t100 @t198 @t31)) % 1.32/1.57 (define @t909 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t30 @t181)) % 1.32/1.57 (define @t910 () (tptp.class_Orderings_Oord @t31)) % 1.32/1.57 (define @t911 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t181 @t30)) % 1.32/1.57 (define @t912 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t52 @t205)) % 1.32/1.57 (define @t913 () (@list @t53 @t52 @t31)) % 1.32/1.57 (define @t914 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t205 @t52)) % 1.32/1.57 (define @t915 () (@list @t205 @t53 @t52 @t31)) % 1.32/1.57 (define @t916 () (not @t902)) % 1.32/1.57 (define @t917 () (tptp.c_Orderings_Oord__class_Oless @t31 @t205 @t53)) % 1.32/1.57 (define @t918 () (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t205 @t52) @t917)) % 1.32/1.57 (define @t919 () (tptp.c_Orderings_Oord__class_Oless @t31 @t53 @t205)) % 1.32/1.57 (define @t920 () (tptp.c_Orderings_Oord__class_Oless @t31 @t52 @t205)) % 1.32/1.57 (define @t921 () (=> @t920 @t919)) % 1.32/1.57 (define @t922 () (tptp.c_Orderings_Oord__class_Oless @t31 @t181 @t30)) % 1.32/1.57 (define @t923 () (tptp.c_Orderings_Oord__class_Oless @t31 @t30 @t181)) % 1.32/1.57 (define @t924 () (tptp.c_Orderings_Oord__class_Oless @t31 @t100 @t198)) % 1.32/1.57 (define @t925 () (not @t924)) % 1.32/1.57 (define @t926 () (= @t925 @t229)) % 1.32/1.57 (define @t927 () (tptp.c_Orderings_Oord__class_Oless @t31 @t198 @t100)) % 1.32/1.57 (define @t928 () (=> @t902 @t921)) % 1.32/1.57 (define @t929 () (forall @t821 (=> @t896 @t928))) % 1.32/1.57 (define @t930 () (not @t129)) % 1.32/1.57 (define @t931 () (@var "B_a" $$unsorted)) % 1.32/1.57 (define @t932 () (tptp.c_RComplete_Onatceiling @t53)) % 1.32/1.57 (define @t933 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t53 @t7)) % 1.32/1.57 (define @t934 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t10)) % 1.32/1.57 (define @t935 () (tptp.c_RComplete_Onatceiling @t100)) % 1.32/1.57 (define @t936 () (@var "V_one_2" $$unsorted)) % 1.32/1.57 (define @t937 () (@var "V_times_2" $$unsorted)) % 1.32/1.57 (define @t938 () (@var "V_M_2" $$unsorted)) % 1.32/1.57 (define @t939 () (@var "V_X_2" $$unsorted)) % 1.32/1.57 (define @t940 () (tptp.hAPP @t939 @t938)) % 1.32/1.57 (define @t941 () (tptp.hAPP @t939 @t271)) % 1.32/1.57 (define @t942 () (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t938 @t271)) % 1.32/1.57 (define @t943 () (tptp.hAPP (tptp.hAPP @t62 (tptp.c_RealVector_Onorm__class_Onorm @t31 @t3)) @t826)) % 1.32/1.57 (define @t944 () (@var "B_b" $$unsorted)) % 1.32/1.57 (define @t945 () (tptp.c_RComplete_Onatfloor @t53)) % 1.32/1.57 (define @t946 () (tptp.c_RComplete_Onatfloor @t100)) % 1.32/1.57 (define @t947 () (tptp.c_RComplete_Onatfloor @t30)) % 1.32/1.57 (define @t948 () (tptp.c_Nat__Transfer_Otsub @t53 @t52)) % 1.32/1.57 (define @t949 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t52 @t53)) % 1.32/1.57 (define @t950 () (=> @t949 (= @t948 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t53 @t52)))) % 1.32/1.57 (define @t951 () (@list @t53 @t52)) % 1.32/1.57 (define @t952 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t53 @t504)) % 1.32/1.57 (define @t953 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t53 @t52)) % 1.32/1.57 (define @t954 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t53 @t504)) % 1.32/1.57 (define @t955 () (@list @t52 @t205 @t53)) % 1.32/1.57 (define @t956 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t29)) % 1.32/1.57 (define @t957 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t956 @t7)) % 1.32/1.57 (define @t958 () (@list @t53 @t29)) % 1.32/1.57 (define @t959 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t122)) % 1.32/1.57 (define @t960 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t238)) % 1.32/1.57 (define @t961 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t98)) % 1.32/1.57 (define @t962 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t102 @t122) @t29))) % 1.32/1.57 (define @t963 () (tptp.hAPP (tptp.hAPP @t24 @t959) @t29)) % 1.32/1.57 (define @t964 () (tptp.c_Polynomial_Opos__poly @t31 @t749)) % 1.32/1.57 (define @t965 () (tptp.c_Polynomial_Opos__poly @t31 @t421)) % 1.32/1.57 (define @t966 () (@list @t749 @t421 @t31)) % 1.32/1.57 (define @t967 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t53)) % 1.32/1.57 (define @t968 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t238)) % 1.32/1.57 (define @t969 () (tptp.c_Polynomial_Opos__poly @t31 (tptp.c_Groups_Ominus__class_Ominus @t460 @t198 @t100))) % 1.32/1.57 (define @t970 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t945)) % 1.32/1.57 (define @t971 () (@list @t30 @t53)) % 1.32/1.57 (define @t972 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t30)) % 1.32/1.57 (define @t973 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t112)) % 1.32/1.57 (define @t974 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t100)) % 1.32/1.57 (define @t975 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t53 @t972)) % 1.32/1.57 (define @t976 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t972 @t53)) % 1.32/1.57 (define @t977 () (@list @t53 @t30)) % 1.32/1.57 (define @t978 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t53 @t972)) % 1.32/1.57 (define @t979 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t421)) % 1.32/1.57 (define @t980 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t243 @t205))) % 1.32/1.57 (define @t981 () (tptp.class_Lattices_Oboolean__algebra @t31)) % 1.32/1.57 (define @t982 () (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t198)) % 1.32/1.57 (define @t983 () (@var "V_A_2" $$unsorted)) % 1.32/1.57 (define @t984 () (tptp.hAPP @t983 @t100)) % 1.32/1.57 (define @t985 () (tptp.tc_fun @t196 @t31)) % 1.32/1.57 (define @t986 () (@var "V_B_2" $$unsorted)) % 1.32/1.57 (define @t987 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t31)) % 1.32/1.57 (define @t988 () (tptp.c_Groups_Osgn__class_Osgn @t460 @t53)) % 1.32/1.57 (define @t989 () (tptp.c_Orderings_Oord__class_Oless @t460 @t461 @t53)) % 1.32/1.57 (define @t990 () (= @t53 @t461)) % 1.32/1.57 (define @t991 () (tptp.c_Groups_Osgn__class_Osgn @t31 @t112)) % 1.32/1.57 (define @t992 () (tptp.c_Groups_Osgn__class_Osgn @t31 @t53)) % 1.32/1.57 (define @t993 () (tptp.hAPP @t35 @t992)) % 1.32/1.57 (define @t994 () (tptp.c_Groups_Osgn__class_Osgn @t31 @t30)) % 1.32/1.57 (define @t995 () (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t82) @t82)) % 1.32/1.57 (define @t996 () (tptp.class_Groups_Osgn__if @t31)) % 1.32/1.57 (define @t997 () (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t53)) % 1.32/1.57 (define @t998 () (not @t256)) % 1.32/1.57 (define @t999 () (tptp.c_RealVector_Onorm__class_Onorm @t31 @t992)) % 1.32/1.57 (define @t1000 () (@var "V_h" $$unsorted)) % 1.32/1.57 (define @t1001 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t31 @t421 @t1000)) % 1.32/1.57 (define @t1002 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t100 @t198)) % 1.32/1.57 (define @t1003 () (@var "V_ta_2" $$unsorted)) % 1.32/1.57 (define @t1004 () (@var "V_D_2" $$unsorted)) % 1.32/1.57 (define @t1005 () (tptp.class_Rings_Odvd @t31)) % 1.32/1.57 (define @t1006 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t181)) % 1.32/1.57 (define @t1007 () (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t92)) % 1.32/1.57 (define @t1008 () (@var "V_h_2" $$unsorted)) % 1.32/1.57 (define @t1009 () (tptp.c_Rings_Odvd__class_Odvd @t460 @t421 @t749)) % 1.32/1.57 (define @t1010 () (@var "T_1" $$unsorted)) % 1.32/1.57 (define @t1011 () (tptp.tc_Polynomial_Opoly @t1010)) % 1.32/1.57 (define @t1012 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1010)) % 1.32/1.57 (define @t1013 () (@list @t1010)) % 1.32/1.57 (define @t1014 () (@var "T_2" $$unsorted)) % 1.32/1.57 (define @t1015 () (tptp.tc_fun @t1014 @t1010)) % 1.32/1.57 (define @t1016 () (@list @t1014 @t1010)) % 1.32/1.57 (define @t1017 () (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.32/1.57 (define @t1018 () (tptp.class_Rings_Oidom @t1010)) % 1.32/1.57 (define @t1019 () (tptp.class_Rings_Olinordered__idom @t1010)) % 1.32/1.57 (define @t1020 () (tptp.class_Rings_Ocomm__semiring__0 @t1010)) % 1.32/1.57 (define @t1021 () (tptp.class_Rings_Ocomm__semiring__1 @t1010)) % 1.32/1.57 (define @t1022 () (tptp.class_Groups_Ocomm__monoid__add @t1010)) % 1.32/1.57 (define @t1023 () (tptp.class_Groups_Oab__group__add @t1010)) % 1.32/1.57 (define @t1024 () (tptp.class_Rings_Ocomm__ring__1 @t1010)) % 1.32/1.57 (define @t1025 () (tptp.class_Rings_Ocomm__ring @t1010)) % 1.32/1.57 (define @t1026 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t46 @t7)) % 1.32/1.57 (define @t1027 () (not @t920)) % 1.32/1.57 (define @t1028 () (not @t896)) % 1.32/1.57 (define @t1029 () (or @t1028 @t916 @t1027 @t919)) % 1.32/1.57 (define @t1030 () (or @t916 @t1027 @t919)) % 1.32/1.57 (define @t1031 () (not @t79)) % 1.32/1.57 (define @t1032 () (not @t80)) % 1.32/1.57 (define @t1033 () (not @t1017)) % 1.32/1.57 (define @t1034 () (or @t1033 @t1032 @t1031 @t1026)) % 1.32/1.57 (define @t1035 () (not @t1034)) % 1.32/1.57 (define @t1036 () (forall @t821 @t1029)) % 1.32/1.57 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.32/1.57 (assume @p2 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_t____ @t7)) % 1.32/1.57 (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)))) % 1.32/1.57 (assume @p4 (not (= tptp.v_k____ @t8))) % 1.32/1.57 (assume @p5 (not (= tptp.v_a____ @t9))) % 1.32/1.57 (assume @p6 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 tptp.v_t____)) % 1.32/1.57 (assume @p7 (= @t22 @t21)) % 1.32/1.57 (assume @p8 (= @t23 @t9)) % 1.32/1.57 (assume @p9 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t26 @t25)) % 1.32/1.57 (assume @p10 (= @t19 @t27)) % 1.32/1.57 (assume @p11 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t13) @t28)) % 1.32/1.57 (assume @p12 (forall @t41 (=> @t40 (=> @t39 (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t37))))) % 1.32/1.57 (assume @p13 (forall @t41 (=> @t40 (=> @t39 (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t37))))) % 1.32/1.57 (assume @p14 (= @t46 @t45)) % 1.32/1.57 (assume @p15 (= @t22 @t44)) % 1.32/1.57 (assume @p16 (= @t21 @t44)) % 1.32/1.57 (assume @p17 (forall @t48 (=> @t47 (= (tptp.c_RealVector_Oof__real @t31 @t7) @t38)))) % 1.32/1.57 (assume @p18 (forall @t48 (=> @t49 (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t38) @t7)))) % 1.32/1.57 (assume @p19 (forall @t61 (=> @t60 (=> @t59 (=> @t57 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t51 @t50))))))) % 1.32/1.57 (assume @p20 (forall @t61 (=> @t66 (=> @t59 (=> @t57 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t65 (tptp.hAPP (tptp.hAPP @t62 @t51) @t50))))))) % 1.32/1.57 (assume @p21 (not (= tptp.v_w____ @t9))) % 1.32/1.57 (assume @p22 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 tptp.v_m____)) % 1.32/1.57 (assume @p23 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t25)) % 1.32/1.57 (assume @p24 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t25 @t7)) % 1.32/1.57 (assume @p25 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t68 @t28) (tptp.hAPP @t67 @t28))) % 1.32/1.57 (assume @p26 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 tptp.v_t____) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 tptp.v_k____) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t25 (tptp.hAPP (tptp.hAPP @t24 @t7) tptp.v_k____))))) % 1.32/1.57 (assume @p27 (forall @t72 (=> @t71 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t70 tptp.v_m____)))) % 1.32/1.57 (assume @p28 (= @t26 (tptp.hAPP @t76 (tptp.hAPP @t68 (tptp.hAPP @t75 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t15)))))) % 1.32/1.57 (assume @p29 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t77))) % 1.32/1.57 (assume @p30 @t79) % 1.32/1.57 (assume @p31 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t45 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t43) @t26))) % 1.32/1.57 (assume @p32 @t80) % 1.32/1.57 (assume @p33 (forall @t81 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t58)))) % 1.32/1.57 (assume @p34 (forall @t48 (=> @t47 @t83))) % 1.32/1.57 (assume @p35 (forall @t48 (=> @t84 @t83))) % 1.32/1.57 (assume @p36 (forall @t48 (=> @t60 (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t82) @t10)))) % 1.32/1.57 (assume @p37 (forall @t81 (=> @t47 @t87))) % 1.32/1.57 (assume @p38 (forall @t81 (=> @t84 @t87))) % 1.32/1.57 (assume @p39 (forall @t91 (=> @t47 @t90))) % 1.32/1.57 (assume @p40 (forall @t91 (=> @t84 @t90))) % 1.32/1.57 (assume @p41 (forall @t97 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t96 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t94 @t93))))) % 1.32/1.57 (assume @p42 (forall @t104 (= @t103 (or @t101 @t99)))) % 1.32/1.57 (assume @p43 (forall @t107 (=> @t47 (= (= @t106 @t82) @t105)))) % 1.32/1.57 (assume @p44 (forall @t107 (=> @t60 (= (= @t109 @t10) @t108)))) % 1.32/1.57 (assume @p45 (forall @t107 (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t109 @t10) @t108)))) % 1.32/1.57 (assume @p46 (forall @t97 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t110 @t96)))) % 1.32/1.57 (assume @p47 (forall @t120 (=> (and @t119 @t118 @t117 @t116) (= (= @t115 @t82) (and @t113 @t111))))) % 1.32/1.57 (assume @p48 (forall @t41 (=> @t40 (=> @t121 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t34))))) % 1.32/1.57 (assume @p49 (forall (@list @t29 @t122 @t124) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t124) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t125 @t122) (tptp.hAPP @t125 @t29)) @t123)))) % 1.32/1.57 (assume @p50 (forall @t128 (=> @t40 (=> @t127 (=> @t121 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t34 @t126)))))) % 1.32/1.57 (assume @p51 (forall @t132 (=> @t40 (=> (= @t34 @t126) (=> @t121 (=> @t131 (=> @t130 @t129))))))) % 1.32/1.57 (assume @p52 (forall @t137 (=> @t40 (=> @t136 (=> @t121 (=> @t135 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t134 @t34))))))) % 1.32/1.57 (assume @p53 (forall @t128 (=> @t40 (=> @t139 (=> @t121 (=> @t130 @t138)))))) % 1.32/1.57 (assume @p54 (forall @t145 (=> @t66 (= (tptp.hAPP (tptp.hAPP @t35 @t144) @t140) (tptp.c_Groups_Ominus__class_Ominus @t31 @t143 @t142))))) % 1.32/1.57 (assume @p55 (forall @t149 (=> @t66 (= (tptp.hAPP (tptp.hAPP @t35 (tptp.c_Groups_Ominus__class_Ominus @t31 @t30 @t146)) @t92) (tptp.c_Groups_Ominus__class_Ominus @t31 @t148 @t147))))) % 1.32/1.57 (assume @p56 (forall @t154 (=> @t66 (= (tptp.hAPP @t151 @t144) (tptp.c_Groups_Ominus__class_Ominus @t31 @t153 @t152))))) % 1.32/1.57 (assume @p57 (forall @t157 (=> @t66 (= (tptp.hAPP @t36 (tptp.c_Groups_Ominus__class_Ominus @t31 @t92 @t155)) (tptp.c_Groups_Ominus__class_Ominus @t31 @t148 @t156))))) % 1.32/1.57 (assume @p58 (forall @t91 (=> @t66 (= (tptp.hAPP (tptp.hAPP @t35 @t158) @t52) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t64))))) % 1.32/1.57 (assume @p59 (forall @t97 (=> @t66 (= @t162 @t159)))) % 1.32/1.57 (assume @p60 (forall (@list @t53 @t150 @t31) (=> @t66 (= (tptp.hAPP @t151 @t158) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t153))))) % 1.32/1.57 (assume @p61 (forall @t97 (=> @t66 (= @t164 @t159)))) % 1.32/1.57 (assume @p62 (forall @t97 (=> @t60 (= @t96 (tptp.c_RealVector_Onorm__class_Onorm @t31 @t165))))) % 1.32/1.57 (assume @p63 (forall @t81 (=> @t60 (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t158) @t58)))) % 1.32/1.57 (assume @p64 (forall @t171 (=> @t170 (= (tptp.hAPP @t33 @t169) (tptp.hAPP (tptp.hAPP @t32 @t166) @t29))))) % 1.32/1.57 (assume @p65 (forall @t81 (=> @t66 (= (tptp.hAPP @t63 @t82) @t82)))) % 1.32/1.57 (assume @p66 (forall @t173 (=> @t66 @t172))) % 1.32/1.57 (assume @p67 (forall @t175 (=> @t66 (= (tptp.hAPP @t174 @t52) @t82)))) % 1.32/1.57 (assume @p68 (forall (@list @t92 @t31) (=> @t66 (= (tptp.hAPP @t174 @t92) @t82)))) % 1.32/1.57 (assume @p69 (forall @t173 (=> @t170 (= (tptp.hAPP @t33 @t73) @t30)))) % 1.32/1.57 (assume @p70 (forall @t41 (=> @t178 (=> @t177 (not (= @t34 @t82)))))) % 1.32/1.57 (assume @p71 (forall @t186 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 @t185) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 @t182) (tptp.c_RealVector_Onorm__class_Onorm @t31 @t180)))))) % 1.32/1.57 (assume @p72 (forall @t97 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t110 (tptp.c_RealVector_Onorm__class_Onorm @t31 @t184))))) % 1.32/1.57 (assume @p73 (forall @t137 (=> @t40 (=> @t136 (=> @t187 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t34 @t134)))))) % 1.32/1.57 (assume @p74 (forall @t132 (=> @t40 (=> @t138 (=> @t131 @t139))))) % 1.32/1.57 (assume @p75 (forall @t192 (=> (and @t119 @t191) (and (=> @t189 (= @t188 @t38)) (=> @t190 (= @t188 @t82)))))) % 1.32/1.57 (assume @p76 (forall @t107 (=> @t60 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t109) @t193)))) % 1.32/1.57 (assume @p77 (forall (@list @t2 @t196 @t31) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t31 @t196 @t2) (forall @t195 (= @t5 (tptp.hAPP @t2 @t194)))))) % 1.32/1.57 (assume @p78 (forall @t171 (=> @t40 (=> @t39 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t166 @t34) @t197))))) % 1.32/1.57 (assume @p79 (forall @t204 (=> @t40 (=> @t203 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t202 @t201) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t100 @t198)))))) % 1.32/1.57 (assume @p80 (forall @t208 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t207) (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 @t207 @t205)) @t206)))) % 1.32/1.57 (assume @p81 (forall @t213 (=> @t66 (= @t212 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t210 @t209) @t211) (tptp.hAPP @t36 @t209)))))) % 1.32/1.57 (assume @p82 (forall @t171 (=> @t170 (= (tptp.hAPP @t33 @t214) (tptp.hAPP (tptp.hAPP @t35 @t166) @t34))))) % 1.32/1.57 (assume @p83 (forall @t41 (=> @t40 (=> @t187 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t34))))) % 1.32/1.57 (assume @p84 (forall @t91 (=> @t66 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t65 @t215)))) % 1.32/1.57 (assume @p85 (forall @t91 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t58 @t56))))) % 1.32/1.57 (assume @p86 (forall @t41 (=> @t40 (=> @t216 (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t34))))) % 1.32/1.57 (assume @p87 (forall @t221 (=> @t49 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t220 @t217)))) % 1.32/1.57 (assume @p88 (forall @t173 (=> @t119 (= (tptp.hAPP @t33 @t8) @t38)))) % 1.32/1.57 (assume @p89 (forall @t81 (=> @t60 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t58 @t10))))) % 1.32/1.57 (assume @p90 (forall @t41 (=> @t224 (= @t223 (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP (tptp.hAPP @t32 @t222) @t29)) @t34))))) % 1.32/1.57 (assume @p91 (forall @t137 (=> @t40 (=> @t226 (=> @t216 (=> @t225 (tptp.c_Orderings_Oord__class_Oless @t31 @t134 @t34))))))) % 1.32/1.57 (assume @p92 (forall @t41 (=> @t40 (=> @t39 (=> @t130 (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t34)))))) % 1.32/1.57 (assume @p93 (forall @t228 (= (tptp.hAPP (tptp.hAPP @t16 (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t53)) @t29) (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex @t227)))) % 1.32/1.57 (assume @p94 (forall @t41 (=> @t40 (=> @t216 (=> @t225 (tptp.c_Orderings_Oord__class_Oless @t31 @t37 @t34)))))) % 1.32/1.57 (assume @p95 (forall @t230 (=> @t47 (= (= @t106 (tptp.c_RealVector_Oof__real @t31 @t198)) @t229)))) % 1.32/1.57 (assume @p96 (forall @t145 (=> @t66 (= (tptp.hAPP (tptp.hAPP @t35 @t54) @t140) (tptp.c_Groups_Oplus__class_Oplus @t31 @t143 @t142))))) % 1.32/1.57 (assume @p97 (forall @t149 (=> @t66 (= (tptp.hAPP (tptp.hAPP @t35 (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t146)) @t92) (tptp.c_Groups_Oplus__class_Oplus @t31 @t148 @t147))))) % 1.32/1.57 (assume @p98 (forall @t154 (=> @t66 (= (tptp.hAPP @t151 @t54) (tptp.c_Groups_Oplus__class_Oplus @t31 @t153 @t152))))) % 1.32/1.57 (assume @p99 (forall @t157 (=> @t66 (= (tptp.hAPP @t36 (tptp.c_Groups_Oplus__class_Oplus @t31 @t92 @t155)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t148 @t156))))) % 1.32/1.57 (assume @p100 (forall @t128 (=> @t232 (= (tptp.hAPP (tptp.hAPP @t32 @t148) @t29) (tptp.hAPP @t231 @t126))))) % 1.32/1.57 (assume @p101 (forall @t41 (=> @t170 (= (tptp.hAPP @t231 @t30) @t37)))) % 1.32/1.57 (assume @p102 (forall @t192 (=> @t170 (= (tptp.hAPP (tptp.hAPP @t32 @t38) @t29) @t38)))) % 1.32/1.57 (assume @p103 (forall @t91 (=> @t233 (= @t65 @t215)))) % 1.32/1.57 (assume @p104 (forall @t221 (=> @t233 (= @t220 @t217)))) % 1.32/1.57 (assume @p105 (forall @t91 (=> @t47 (= (tptp.c_RealVector_Oof__real @t31 @t235) (tptp.hAPP (tptp.hAPP @t35 @t85) @t88))))) % 1.32/1.57 (assume @p106 (forall @t91 (=> @t84 @t237))) % 1.32/1.57 (assume @p107 (forall @t91 (=> @t47 @t237))) % 1.32/1.57 (assume @p108 (forall @t221 (=> @t47 (= (tptp.c_RealVector_Oof__real @t31 @t227) (tptp.hAPP (tptp.hAPP @t32 @t85) @t29))))) % 1.32/1.57 (assume @p109 (forall @t137 (=> @t40 (=> @t226 (=> @t39 (tptp.c_Orderings_Oord__class_Oless @t31 @t34 @t134)))))) % 1.32/1.57 (assume @p110 (forall @t171 (=> @t40 (=> @t39 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t166 @t34) @t123))))) % 1.32/1.57 (assume @p111 (forall @t204 (=> @t40 (=> @t203 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t202 @t201) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t100 @t198)))))) % 1.32/1.57 (assume @p112 (forall (@list @t98 @t238 @t112 @t31) (=> @t40 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t112) (= (= (tptp.hAPP @t114 @t238) @t115) @t239))))) % 1.32/1.57 (assume @p113 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t26 @t242)) % 1.32/1.57 (assume @p114 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t242 (tptp.hAPP @t76 @t7))) % 1.32/1.57 (assume @p115 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t241 @t7)) % 1.32/1.57 (assume @p116 (not (forall @t244 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t20 (tptp.hAPP (tptp.hAPP @t12 (tptp.hAPP (tptp.hAPP @t16 @t243) tptp.v_k____)) tptp.v_a____)) @t9))))) % 1.32/1.57 (assume @p117 (exists @t248 (and @t247 @t246))) % 1.32/1.57 (assume @p118 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t23 @t20) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t9 @t20))) % 1.32/1.57 (assume @p119 (forall @t255 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t31) (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t53 @t30) (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t52 @t30) (=> @t254 (=> @t253 (=> @t252 (tptp.c_Orderings_Oord__class_Oless @t31 @t251 @t30))))))))) % 1.32/1.57 (assume @p120 (forall (@list @t52 @t53 @t181 @t31) (=> @t60 (=> @t258 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t58 (tptp.hAPP @t257 @t56)) @t256))))) % 1.32/1.57 (assume @p121 (forall @t255 (=> (tptp.class_Rings_Olinordered__semiring__1 @t31) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t53 @t30) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t52 @t30) (=> @t254 (=> @t253 (=> @t252 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t251 @t30))))))))) % 1.32/1.57 (assume @p122 (forall (@list @t30 @t92) (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 @t92 @t30)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t92)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t30)))) % 1.32/1.57 (assume @p123 (forall (@list @t259) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t259) (exists (@list @t260) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t260) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t260 @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t260 @t259)))))) % 1.32/1.57 (assume @p124 (not @t262)) % 1.32/1.57 (assume @p125 (forall @t244 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t261) @t263))) % 1.32/1.57 (assume @p126 (forall (@list @t264 @t53) (=> @t265 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t264) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t264 @t7) (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 @t7 @t264)) @t53) @t7)))))) % 1.32/1.57 (assume @p127 (not @t267)) % 1.32/1.57 (assume @p128 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal tptp.v_t____ @t268)) % 1.32/1.57 (assume @p129 (forall @t270 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t51) @t269))) % 1.32/1.57 (assume @p130 (forall @t275 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t272 @t273) (exists @t274 (= @t273 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t272 @t271)))))) % 1.32/1.57 (assume @p131 (forall @t97 (=> @t281 @t280))) % 1.32/1.57 (assume @p132 (forall @t173 (=> @t281 (= (tptp.hAPP @t278 @t277) @t282)))) % 1.32/1.57 (assume @p133 (forall @t48 (=> @t281 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t38) @t38)))) % 1.32/1.57 (assume @p134 (forall @t41 (=> @t281 (= @t284 @t283)))) % 1.32/1.57 (assume @p135 (forall @t173 (=> @t60 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t94) @t94)))) % 1.32/1.57 (assume @p136 (forall @t286 (=> @t281 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t277 @t181) (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t276 @t179) (tptp.c_Orderings_Oord__class_Oless @t31 @t279 (tptp.hAPP @t285 @t179))))))) % 1.32/1.57 (assume @p137 (forall @t291 (=> @t281 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t290 @t199) (and @t289 @t288))))) % 1.32/1.57 (assume @p138 (forall @t293 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t292) @t292))) % 1.32/1.57 (assume @p139 (forall @t294 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t53 @t52) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t53 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t52))))) % 1.32/1.57 (assume @p140 (forall @t97 (=> (tptp.class_Rings_Oordered__ring__abs @t31) (=> (and (or @t121 @t296) (or @t131 @t295)) @t280)))) % 1.32/1.57 (assume @p141 (forall @t91 (=> @t281 (=> @t298 (= (tptp.hAPP (tptp.hAPP @t35 (tptp.c_Groups_Oabs__class_Oabs @t31 @t52)) @t53) (tptp.c_Groups_Oabs__class_Oabs @t31 @t297)))))) % 1.32/1.57 (assume @p142 (forall @t41 (=> @t281 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t223) @t284)))) % 1.32/1.57 (assume @p143 (forall (@list @t52 @t53 @t181) (=> @t258 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t300 (tptp.hAPP @t257 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t52))) @t299)))) % 1.32/1.57 (assume @p144 (forall @t302 (=> @t49 (= (tptp.c_RealVector_Onorm__class_Onorm @t31 @t301) @t269)))) % 1.32/1.57 (assume @p145 (forall @t41 (=> @t281 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t283)))) % 1.32/1.57 (assume @p146 (forall @t91 (=> @t281 @t308))) % 1.32/1.57 (assume @p147 (= (tptp.c_RealVector_Oof__real tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t7)) @t27)) % 1.32/1.57 (assume @p148 (forall @t97 (=> @t60 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t110) @t96)))) % 1.32/1.57 (assume @p149 (forall @t173 (=> @t118 @t309))) % 1.32/1.57 (assume @p150 (forall @t173 (=> @t118 @t172))) % 1.32/1.57 (assume @p151 (forall @t291 (=> (tptp.class_Rings_Oring__no__zero__divisors @t31) (= (= @t311 @t82) (or @t113 (= @t199 @t82)))))) % 1.32/1.57 (assume @p152 (forall @t97 (=> @t117 (=> @t177 (=> @t314 (not @t312)))))) % 1.32/1.57 (assume @p153 (forall @t97 (=> @t117 (=> @t312 (or @t176 @t313))))) % 1.32/1.57 (assume @p154 (forall @t48 (=> @t116 (not (= @t38 @t82))))) % 1.32/1.58 (assume @p155 (forall @t48 (=> @t116 (not (= @t82 @t38))))) % 1.32/1.58 (assume @p156 (forall @t320 (=> (tptp.class_Rings_Ocomm__semiring @t31) @t319))) % 1.32/1.58 (assume @p157 (forall (@list @t181 @t92 @t321 @t30 @t31) (=> (tptp.class_Rings_Osemiring @t31) (= (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t36 @t321) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t315 @t321) @t181)) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t318 @t321) @t181))))) % 1.32/1.58 (assume @p158 (forall @t97 (=> @t322 (= @t159 @t164)))) % 1.32/1.58 (assume @p159 (forall @t97 (=> @t322 (= @t159 @t162)))) % 1.32/1.58 (assume @p160 (forall @t97 (=> @t322 (= @t162 @t164)))) % 1.32/1.58 (assume @p161 (forall @t97 (=> @t322 (= (tptp.hAPP @t161 @t163) @t148)))) % 1.32/1.58 (assume @p162 (forall @t291 (=> @t327 (= (= (tptp.hAPP @t310 @t112) (tptp.hAPP @t326 @t199)) (or @t325 @t324))))) % 1.32/1.58 (assume @p163 (forall @t97 (=> @t329 (=> (or (and @t121 @t295) (and @t296 @t131)) @t328)))) % 1.32/1.58 (assume @p164 (forall @t97 (=> @t331 (=> (or (and @t121 @t131) (and @t296 @t295)) @t330)))) % 1.32/1.58 (assume @p165 (forall @t186 (=> @t336 (=> @t127 (=> @t335 (=> @t131 @t334)))))) % 1.32/1.58 (assume @p166 (forall @t186 (=> @t336 (=> @t127 (=> @t335 (=> @t121 @t334)))))) % 1.32/1.58 (assume @p167 (forall @t342 (=> @t331 (=> @t341 (=> @t340 @t339))))) % 1.32/1.58 (assume @p168 (forall @t342 (=> @t331 (=> @t341 (=> @t340 @t343))))) % 1.32/1.58 (assume @p169 (forall @t320 (=> (tptp.class_Rings_Oordered__comm__semiring @t31) @t344))) % 1.32/1.58 (assume @p170 (forall @t320 (=> @t336 @t344))) % 1.32/1.58 (assume @p171 (forall @t320 (=> @t336 (=> @t127 (=> @t333 @t343))))) % 1.32/1.58 (assume @p172 (forall @t97 (=> @t331 (=> @t296 (=> @t295 @t330))))) % 1.32/1.58 (assume @p173 (forall @t97 (=> @t329 (=> @t296 (=> @t131 @t328))))) % 1.32/1.58 (assume @p174 (forall @t97 (=> @t329 (=> @t121 (=> @t295 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t345 @t82)))))) % 1.32/1.58 (assume @p175 (forall @t97 (=> @t329 (=> @t121 (=> @t295 @t328))))) % 1.32/1.58 (assume @p176 (forall @t97 (=> @t329 (=> @t121 (=> @t131 @t330))))) % 1.32/1.58 (assume @p177 (forall @t291 (=> @t350 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t311 @t82) (or (and @t349 @t348) (and @t347 @t346)))))) % 1.32/1.58 (assume @p178 (forall @t291 (=> @t350 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t311) (or (and @t349 @t346) (and @t347 @t348)))))) % 1.32/1.58 (assume @p179 (forall @t173 (=> @t351 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t282)))) % 1.32/1.58 (assume @p180 (forall @t173 (=> @t351 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t282 @t82))))) % 1.32/1.58 (assume @p181 (forall @t359 (=> @t350 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t358 @t357) @t356)))) % 1.32/1.58 (assume @p182 (forall @t364 (=> @t350 (= @t363 @t356)))) % 1.32/1.58 (assume @p183 (forall @t364 (=> @t350 (=> @t355 (= @t363 @t289))))) % 1.32/1.58 (assume @p184 (forall @t97 (=> @t367 (=> @t216 (=> @t366 @t365))))) % 1.32/1.58 (assume @p185 (forall @t97 (=> @t367 (=> @t216 (=> @t369 @t368))))) % 1.32/1.58 (assume @p186 (forall @t97 (=> @t367 (=> @t216 (=> @t369 (tptp.c_Orderings_Oord__class_Oless @t31 @t345 @t82)))))) % 1.32/1.58 (assume @p187 (forall @t97 (=> @t367 (=> @t365 @t370)))) % 1.32/1.58 (assume @p188 (forall @t371 (=> @t367 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t345) @t370)))) % 1.32/1.58 (assume @p189 (forall @t364 (=> @t350 (=> @t354 (= @t363 @t352))))) % 1.32/1.58 (assume @p190 (forall @t97 (=> @t367 (=> @t372 (=> @t366 @t368))))) % 1.32/1.58 (assume @p191 (forall @t97 (=> @t350 (=> @t372 (=> @t369 @t365))))) % 1.32/1.58 (assume @p192 (forall @t320 (=> @t367 (=> @t139 (=> @t374 @t373))))) % 1.32/1.58 (assume @p193 (forall @t320 (=> @t367 @t376))) % 1.32/1.58 (assume @p194 (forall @t320 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t31) @t376))) % 1.32/1.58 (assume @p195 (forall @t342 (=> @t350 (=> @t378 (=> @t377 @t373))))) % 1.32/1.58 (assume @p196 (forall @t342 (=> @t350 (=> @t378 (=> @t377 @t375))))) % 1.32/1.58 (assume @p197 (forall @t320 (=> @t40 (=> @t216 @t382)))) % 1.32/1.58 (assume @p198 (forall @t48 (=> @t40 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t38)))) % 1.32/1.58 (assume @p199 (forall @t48 (=> @t40 (not (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t82))))) % 1.32/1.58 (assume @p200 (forall @t48 (=> @t40 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t82))))) % 1.32/1.58 (assume @p201 (forall @t48 (=> @t40 (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t38)))) % 1.32/1.58 (assume @p202 (forall (@list @t29 @t122 @t31) (=> @t40 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t122) (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t29) (tptp.c_Orderings_Oord__class_Oless @t31 @t38 (tptp.hAPP @t383 @t29))))))) % 1.32/1.58 (assume @p203 (forall @t385 (=> @t281 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t112 @t287) @t384)))) % 1.32/1.58 (assume @p204 (forall @t173 (=> @t40 (tptp.c_Orderings_Oord__class_Oless @t31 @t30 @t386)))) % 1.32/1.58 (assume @p205 (forall @t393 (=> @t322 (= @t392 (= @t353 @t389))))) % 1.32/1.58 (assume @p206 (forall @t393 (=> @t322 (= @t392 (= @t395 @t387))))) % 1.32/1.58 (assume @p207 (forall @t107 (=> @t178 (= (= @t398 @t38) (or @t396 (= @t100 @t222)))))) % 1.32/1.58 (assume @p208 (forall @t364 (=> @t350 (=> @t355 (= @t400 @t399))))) % 1.32/1.58 (assume @p209 (forall @t364 (=> @t350 (=> @t354 (= @t400 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t199 @t112)))))) % 1.32/1.58 (assume @p210 (forall @t186 (=> @t367 (=> @t139 (=> @t403 (=> @t366 @t402)))))) % 1.32/1.58 (assume @p211 (forall @t186 (=> @t367 (=> @t139 (=> @t403 (=> @t121 @t402)))))) % 1.32/1.58 (assume @p212 (forall @t186 (=> @t367 (=> @t139 (=> @t335 (=> @t121 (=> @t374 @t401))))))) % 1.32/1.58 (assume @p213 (forall @t186 (=> @t367 (=> @t127 (=> @t403 (=> @t216 @t402)))))) % 1.32/1.58 (assume @p214 (forall @t407 (=> @t406 @t405))) % 1.32/1.58 (assume @p215 (forall @t407 (=> @t367 @t405))) % 1.32/1.58 (assume @p216 (forall @t409 (=> @t406 @t408))) % 1.32/1.58 (assume @p217 (forall @t409 (=> @t367 @t408))) % 1.32/1.58 (assume @p218 (forall @t407 (=> @t367 (=> @t343 @t410)))) % 1.32/1.58 (assume @p219 (forall @t409 (=> @t367 (=> @t339 @t410)))) % 1.32/1.58 (assume @p220 (forall @t91 (=> @t281 (=> @t298 (=> @t412 (=> @t411 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t64 @t53))))))) % 1.32/1.58 (assume @p221 (forall @t91 (=> @t281 (=> @t298 (=> @t412 (=> @t411 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t297 @t53))))))) % 1.32/1.58 (assume @p222 (forall @t48 (=> @t40 (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t413)))) % 1.32/1.58 (assume @p223 (forall @t393 (=> @t331 (= @t414 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t353 @t389))))) % 1.32/1.58 (assume @p224 (forall @t393 (=> @t331 (= @t414 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t395 @t387))))) % 1.32/1.58 (assume @p225 (forall @t393 (=> @t331 (= @t415 (tptp.c_Orderings_Oord__class_Oless @t31 @t353 @t389))))) % 1.32/1.58 (assume @p226 (forall @t393 (=> @t331 (= @t415 (tptp.c_Orderings_Oord__class_Oless @t31 @t395 @t387))))) % 1.32/1.58 (assume @p227 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t74 @t266)) % 1.32/1.58 (assume @p228 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t268)) % 1.32/1.58 (assume @p229 (forall @t293 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t7 @t300)))) % 1.32/1.58 (assume @p230 (forall @t416 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t8 @t29))) % 1.32/1.58 (assume @p231 (forall (@list @t53 @t29 @t31) (=> @t170 (=> @t130 (= (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t218 @t417)) @t53) @t219))))) % 1.32/1.58 (assume @p232 (forall @t416 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t8)))) % 1.32/1.58 (assume @p233 (forall (@list @t122 @t29 @t31) (=> @t119 (and (=> @t189 (= @t419 @t38)) (=> @t190 (= @t419 (tptp.hAPP @t383 (tptp.hAPP @t418 @t417)))))))) % 1.32/1.58 (assume @p234 (forall (@list @t421 @t122) (and (=> @t425 (= @t424 @t73)) (=> @t426 (= @t424 (tptp.hAPP @t423 (tptp.hAPP @t422 @t420))))))) % 1.32/1.58 (assume @p235 (forall (@list @t122 @t428 @t52 @t53) (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 @t236 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t429 @t427))) (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 @t53 @t429)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t52 @t427)))))) % 1.32/1.58 (assume @p236 (forall @t434 (= @t433 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t124 @t431) @t430)))) % 1.32/1.58 (assume @p237 (forall @t97 (=> @t438 (=> @t437 @t129)))) % 1.32/1.58 (assume @p238 (forall @t291 (=> @t438 (= (= @t439 (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t199)) @t325)))) % 1.32/1.58 (assume @p239 (forall @t173 (=> @t438 @t440))) % 1.32/1.58 (assume @p240 (forall @t173 (=> (and @t233 @t438) @t441))) % 1.32/1.58 (assume @p241 (forall @t81 (=> (and @t444 @t438) @t443))) % 1.32/1.58 (assume @p242 (= (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t10) @t10)) % 1.32/1.58 (assume @p243 (forall @t173 (=> @t233 (=> @t177 @t441)))) % 1.32/1.58 (assume @p244 (forall @t81 (=> @t444 (=> @t445 @t443)))) % 1.32/1.58 (assume @p245 (forall @t48 (=> @t438 @t446))) % 1.32/1.58 (assume @p246 (forall @t385 (=> @t438 (= (= @t439 @t82) @t113)))) % 1.32/1.58 (assume @p247 (forall @t173 (=> @t448 (=> @t177 (not @t447))))) % 1.32/1.58 (assume @p248 (forall @t173 (=> @t448 (=> @t177 @t440)))) % 1.32/1.58 (assume @p249 (forall @t173 (=> @t448 (=> @t447 @t176)))) % 1.32/1.58 (assume @p250 (forall @t97 (=> @t448 (=> @t437 (=> @t177 (=> @t314 @t129)))))) % 1.32/1.58 (assume @p251 (forall @t48 (=> @t448 (= (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t38) @t38)))) % 1.32/1.58 (assume @p252 (forall @t41 (=> @t438 @t449))) % 1.32/1.58 (assume @p253 (forall @t173 (=> @t438 @t450))) % 1.32/1.58 (assume @p254 (forall @t97 (=> @t448 (=> @t177 (=> @t314 (= @t451 (tptp.hAPP (tptp.hAPP @t35 @t435) @t436))))))) % 1.32/1.58 (assume @p255 (forall @t97 (=> @t448 (=> (= @t148 @t38) (= @t436 @t92))))) % 1.32/1.58 (assume @p256 (forall @t41 (=> @t448 (=> @t177 @t449)))) % 1.32/1.58 (assume @p257 (forall @t173 (=> @t448 (=> @t177 @t450)))) % 1.32/1.58 (assume @p258 (forall @t458 (=> @t457 (=> @t456 (=> @t455 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t62 @t52) @t442) (tptp.hAPP @t454 @t453))))))) % 1.32/1.58 (assume @p259 (forall @t458 (=> @t457 (=> @t456 (=> @t455 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t459 @t52) (tptp.hAPP (tptp.hAPP @t62 @t453) @t250))))))) % 1.32/1.58 (assume @p260 (forall @t293 (=> @t445 (= (tptp.hAPP @t459 @t53) @t7)))) % 1.32/1.58 (assume @p261 (forall @t465 (=> @t464 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t31 @t462) @t8) @t463)))) % 1.32/1.58 (assume @p262 (forall @t97 (=> @t448 (=> @t177 (=> @t314 (= @t467 (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t466 @t184)) @t435))))))) % 1.32/1.58 (assume @p263 (forall @t173 (=> @t448 @t468))) % 1.32/1.58 (assume @p264 (forall @t173 (=> @t448 (=> @t177 (= (tptp.hAPP @t36 @t436) @t38))))) % 1.32/1.58 (assume @p265 (forall @t97 (=> @t448 (=> @t177 (=> @t314 (= @t469 (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t466 @t165)) @t435))))))) % 1.32/1.58 (assume @p266 (forall @t416 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t8 @t29) @t8))) % 1.32/1.58 (assume @p267 (forall @t470 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t122 @t8) @t122))) % 1.32/1.58 (assume @p268 (forall @t470 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t122 @t122) @t8))) % 1.32/1.58 (assume @p269 (forall @t474 (=> @t473 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t122) @t8) @t471)))) % 1.32/1.58 (assume @p270 (forall @t475 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t207 @t207))) % 1.32/1.58 (assume @p271 (forall @t478 (or @t477 @t476))) % 1.32/1.58 (assume @p272 (forall @t434 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t124 @t430) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t430 @t431) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t124 @t431))))) % 1.32/1.58 (assume @p273 (forall @t478 (=> @t477 (=> @t476 @t479)))) % 1.32/1.58 (assume @p274 (forall (@list @t480 @t98 @t238) (=> (=> @t483 @t481) (=> (=> @t239 @t481) (=> (=> @t482 @t481) @t481))))) % 1.32/1.58 (assume @p275 (forall @t486 (=> @t123 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t122 @t428) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t485 @t484))))) % 1.32/1.58 (assume @p276 (forall (@list @t29 @t431 @t430) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t430 @t431) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t430 @t29) @t431)))) % 1.32/1.58 (assume @p277 (forall (@list @t264 @t50) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t50 @t264) (not (= @t50 @t264))))) % 1.32/1.58 (assume @p278 (forall @t488 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t122) @t487))) % 1.32/1.58 (assume @p279 (forall @t416 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t29 @t29)))) % 1.32/1.58 (assume @p280 (forall @t294 (=> @t307 (=> (not @t489) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t52 @t53))))) % 1.32/1.58 (assume @p281 (forall @t491 (= @t490 (or @t483 @t482)))) % 1.32/1.58 (assume @p282 (forall @t494 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t493 @t492) @t472))) % 1.32/1.58 (assume @p283 (forall @t496 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t431 @t122) @t495) @t472))) % 1.32/1.58 (assume @p284 (forall @t497 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t238 @t272) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t98 @t272)) @t239))) % 1.32/1.58 (assume @p285 (forall @t500 (= (= @t499 @t498) @t239))) % 1.32/1.58 (assume @p286 (forall @t434 (= @t433 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t124 @t501)))) % 1.32/1.58 (assume @p287 (forall @t502 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t214 @t431) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t122 @t492)))) % 1.32/1.58 (assume @p288 (forall @t488 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t503 @t29) @t122))) % 1.32/1.58 (assume @p289 (forall @t474 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t214 @t29) @t122))) % 1.32/1.58 (assume @p290 (forall @t505 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t53 @t504) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t52 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t53 @t205))))) % 1.32/1.58 (assume @p291 (forall @t474 (= @t214 @t503))) % 1.32/1.58 (assume @p292 (forall @t500 (=> @t510 (=> @t509 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t508 @t507) @t506))))) % 1.32/1.58 (assume @p293 (forall @t496 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t431 @t122) (=> @t511 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t122 @t431) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t431)) @t472))))) % 1.32/1.58 (assume @p294 (forall @t500 (=> @t510 (=> @t509 (= (= @t508 @t507) @t239))))) % 1.32/1.58 (assume @p295 (forall @t474 (=> @t197 (=> @t512 @t471)))) % 1.32/1.58 (assume @p296 (forall @t434 (=> @t513 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t430 @t431) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t124 @t431))))) % 1.32/1.58 (assume @p297 (forall (@list @t29 @t124) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t124 @t29) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t124)) @t124)))) % 1.32/1.58 (assume @p298 (forall @t486 (=> @t197 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t122 @t428) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t428))))) % 1.32/1.58 (assume @p299 (forall @t486 (=> @t197 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t485 @t484)))) % 1.32/1.58 (assume @p300 (forall @t474 (=> @t471 @t197))) % 1.32/1.58 (assume @p301 (forall @t474 (or @t197 @t512))) % 1.32/1.58 (assume @p302 (forall @t474 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t472 @t122))) % 1.32/1.58 (assume @p303 (forall @t416 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t29))) % 1.32/1.58 (assume @p304 (forall @t478 (= (tptp.hAPP @t514 @t207) (tptp.hAPP (tptp.hAPP @t62 @t207) @t205)))) % 1.32/1.58 (assume @p305 (forall @t520 (= (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP @t519 @t516)) @t515) (tptp.hAPP @t519 (tptp.hAPP @t517 @t515))))) % 1.32/1.58 (assume @p306 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t167 @t472) @t431) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t523 @t522)))) % 1.32/1.58 (assume @p307 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t167 @t169) @t431) (tptp.hAPP @t168 @t522)))) % 1.32/1.58 (assume @p308 (forall @t496 (= (tptp.hAPP @t524 @t472) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t526 @t525)))) % 1.32/1.58 (assume @p309 (forall @t474 (= @t169 (tptp.hAPP @t521 @t122)))) % 1.32/1.58 (assume @p310 (forall @t528 (= @t111 @t527))) % 1.32/1.58 (assume @p311 (forall @t474 (=> @t123 @t190))) % 1.32/1.58 (assume @p312 (forall @t416 (=> @t190 @t130))) % 1.32/1.58 (assume @p313 (forall @t529 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t98 @t238)) @t483))) % 1.32/1.58 (assume @p314 (forall @t488 (=> @t130 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t122) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t472 @t122))))) % 1.32/1.58 (assume @p315 (forall @t532 (= @t531 (or @t530 @t229)))) % 1.32/1.58 (assume @p316 (forall @t532 (= @t530 (and @t531 @t533)))) % 1.32/1.58 (assume @p317 (forall @t416 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t8 @t29) @t29))) % 1.32/1.58 (assume @p318 (forall @t470 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t122 @t8) @t122))) % 1.32/1.58 (assume @p319 (forall @t491 (= (= @t535 @t8) (and @t534 @t99)))) % 1.32/1.58 (assume @p320 (forall @t474 (=> (= @t214 @t122) @t189))) % 1.32/1.58 (assume @p321 (forall @t488 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t503) @t8))) % 1.32/1.58 (assume @p322 (forall @t528 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t98 @t8) @t99))) % 1.32/1.58 (assume @p323 (forall @t474 (=> @t197 @t473))) % 1.32/1.58 (assume @p324 (forall @t491 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t238 @t98) @t8) @t506))) % 1.32/1.58 (assume @p325 (forall @t416 (= (tptp.hAPP (tptp.hAPP @t167 @t8) @t29) @t8))) % 1.32/1.58 (assume @p326 (forall @t470 (= (tptp.hAPP @t168 @t8) @t8))) % 1.32/1.58 (assume @p327 (forall @t491 (= (= @t537 @t8) (or @t534 @t99)))) % 1.32/1.58 (assume @p328 (forall @t500 (= @t543 @t539))) % 1.32/1.58 (assume @p329 (forall @t497 (= (= @t545 @t544) @t539))) % 1.32/1.58 (assume @p330 (forall @t434 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t546 @t431) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t124 @t431)))) % 1.32/1.58 (assume @p331 (forall (@list @t29 @t122 @t428 @t431) (=> @t547 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t122 @t428) @t495) @t123)))) % 1.32/1.58 (assume @p332 (forall @t551 (=> @t550 (=> @t547 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t549 @t548))))) % 1.32/1.58 (assume @p333 (forall @t434 (=> @t550 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t549 @t501)))) % 1.32/1.58 (assume @p334 (forall @t553 (=> @t550 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t124 @t552)))) % 1.32/1.58 (assume @p335 (forall @t553 (=> @t550 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t124 @t554)))) % 1.32/1.58 (assume @p336 (forall @t474 (=> (not @t123) @t555))) % 1.32/1.58 (assume @p337 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t499 @t498) @t483))) % 1.32/1.58 (assume @p338 (forall @t560 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t557 @t559) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t558 @t556)))) % 1.32/1.58 (assume @p339 (forall (@list @t124 @t430) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t561 @t124)))) % 1.32/1.58 (assume @p340 (forall (@list @t430 @t124) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t546 @t124)))) % 1.32/1.58 (assume @p341 (forall @t563 (=> @t562 (= (= (tptp.hAPP (tptp.hAPP @t62 @t112) @t353) (tptp.hAPP (tptp.hAPP @t62 @t199) @t353)) @t325)))) % 1.32/1.58 (assume @p342 (forall @t563 (=> @t562 (= (= (tptp.hAPP @t564 @t112) (tptp.hAPP @t564 @t199)) @t325)))) % 1.32/1.58 (assume @p343 (forall @t474 (=> (or @t123 @t471) @t197))) % 1.32/1.58 (assume @p344 (forall @t500 (=> @t510 (=> @t509 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t508 @t507) @t483))))) % 1.32/1.58 (assume @p345 (forall (@list @t181 @t92 @t30) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30 @t92) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t181 @t30) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t181) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t92 @t181)))))) % 1.32/1.58 (assume @p346 (forall @t474 (=> @t197 (=> @t487 @t123)))) % 1.32/1.58 (assume @p347 (forall @t474 (=> @t123 @t197))) % 1.32/1.58 (assume @p348 (forall @t491 (= @t506 (or @t483 @t239)))) % 1.32/1.58 (assume @p349 (forall @t491 (= @t483 (and @t506 @t490)))) % 1.32/1.58 (assume @p350 (forall @t494 (=> @t565 (not (=> @t197 (not @t511)))))) % 1.32/1.58 (assume @p351 (forall @t494 (=> @t565 @t197))) % 1.32/1.58 (assume @p352 (forall @t494 (=> @t565 @t511))) % 1.32/1.58 (assume @p353 (forall @t551 (=> @t513 (=> @t566 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t549 @t548))))) % 1.32/1.58 (assume @p354 (forall @t571 (=> @t570 (= @t569 @t568)))) % 1.32/1.58 (assume @p355 (forall @t571 (=> @t570 (= @t568 @t569)))) % 1.32/1.58 (assume @p356 (forall @t571 (=> @t570 (= @t573 @t572)))) % 1.32/1.58 (assume @p357 (forall @t560 (=> @t575 (= (= @t574 @t272) (= @t556 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t272 @t557)))))) % 1.32/1.58 (assume @p358 (forall @t488 (=> @t512 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t472 @t29) @t122)))) % 1.32/1.58 (assume @p359 (forall (@list @t557 @t556 @t272) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t272 @t556) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t557 @t559) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t558 @t556))))) % 1.32/1.58 (assume @p360 (forall @t571 (=> @t570 (= @t572 @t573)))) % 1.32/1.58 (assume @p361 (forall @t488 (=> @t512 @t555))) % 1.32/1.58 (assume @p362 (forall @t434 (=> @t513 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t549 @t501)))) % 1.32/1.58 (assume @p363 (forall (@list @t122 @t29 @t431) (=> @t511 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t122 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t503 @t431))))) % 1.32/1.58 (assume @p364 (forall @t553 (=> @t513 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t124 @t552)))) % 1.32/1.58 (assume @p365 (forall @t553 (=> @t513 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t124 @t554)))) % 1.32/1.58 (assume @p366 (forall @t500 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t499 @t498) @t506))) % 1.32/1.58 (assume @p367 (forall (@list @t557 @t272 @t556) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t559 @t557) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t556 @t558)))) % 1.32/1.58 (assume @p368 (forall @t571 (=> @t570 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t124 @t567) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t549 @t430))))) % 1.32/1.58 (assume @p369 (forall @t491 (= @t506 (exists (@list @t576) (= @t98 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t238 @t576)))))) % 1.32/1.58 (assume @p370 (forall @t488 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t503))) % 1.32/1.58 (assume @p371 (forall @t488 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t29 @t214))) % 1.32/1.58 (assume @p372 (not (= @t10 @t7))) % 1.32/1.58 (assume @p373 (forall @t502 (= (tptp.hAPP (tptp.hAPP @t167 @t214) @t431) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t523 @t522)))) % 1.32/1.58 (assume @p374 (forall @t496 (= (tptp.hAPP @t524 @t214) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t526 @t525)))) % 1.32/1.58 (assume @p375 (forall @t505 (=> @t577 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t205 @t53) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t205 @t52))))) % 1.32/1.58 (assume @p376 (forall @t551 (=> @t513 (=> @t566 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t580 (tptp.hAPP @t578 @t428)))))) % 1.32/1.58 (assume @p377 (forall @t434 (=> @t513 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t582 @t581)))) % 1.32/1.58 (assume @p378 (forall @t434 (=> @t513 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t580 @t583)))) % 1.32/1.58 (assume @p379 (forall @t470 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t122 (tptp.hAPP @t168 @t584)))) % 1.32/1.58 (assume @p380 (forall @t470 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t122 @t584))) % 1.32/1.58 (assume @p381 (forall @t585 (= (tptp.hAPP @t67 @t205) @t205))) % 1.32/1.58 (assume @p382 (forall @t586 (= (tptp.hAPP (tptp.hAPP @t62 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t518 @t516)) @t207) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t519 @t207) (tptp.hAPP @t517 @t207))))) % 1.32/1.58 (assume @p383 (forall @t491 (= (= @t537 @t73) @t587))) % 1.32/1.58 (assume @p384 (forall @t416 (= (tptp.hAPP @t521 @t73) @t29))) % 1.32/1.58 (assume @p385 (forall @t491 (= (= @t73 @t537) @t587))) % 1.32/1.58 (assume @p386 (forall @t416 (= (tptp.hAPP (tptp.hAPP @t167 @t73) @t29) @t29))) % 1.32/1.58 (assume @p387 (forall @t230 (=> @t350 (= (= @t590 @t82) @t589)))) % 1.32/1.58 (assume @p388 (forall @t213 (=> @t322 (= @t212 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t63 @t209) @t211))))) % 1.32/1.58 (assume @p389 (forall @t230 (=> @t593 (= @t592 (= @t198 @t591))))) % 1.32/1.58 (assume @p390 (forall @t491 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t535) (or @t594 @t527)))) % 1.32/1.58 (assume @p391 (forall @t602 (= @t601 (not (or (and @t600 (not @t599)) (exists @t598 (and @t597 (not @t596)))))))) % 1.32/1.58 (assume @p392 (forall @t602 (= @t601 (and (=> @t600 @t599) (forall @t598 (=> @t597 @t596)))))) % 1.32/1.58 (assume @p393 (forall @t609 (=> @t608 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t607 @t605) @t530)))) % 1.32/1.58 (assume @p394 (forall @t294 (=> @t457 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t52) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t235))))) % 1.32/1.58 (assume @p395 (forall (@list @t52 @t53 @t205) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t205) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t52) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t514 @t53) (tptp.hAPP @t514 @t52)))))) % 1.32/1.58 (assume @p396 (forall @t491 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t8 @t537) (and @t594 @t527)))) % 1.32/1.58 (assume @p397 (forall @t500 (= @t612 @t611))) % 1.32/1.58 (assume @p398 (forall @t497 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t545 @t544) @t611))) % 1.32/1.58 (assume @p399 (forall @t434 (=> @t550 (=> @t613 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t580 @t583))))) % 1.32/1.58 (assume @p400 (forall @t434 (=> @t550 (=> @t613 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t582 @t581))))) % 1.32/1.58 (assume @p401 (forall @t474 (=> (= @t122 @t169) (or (= @t29 @t73) @t425)))) % 1.32/1.58 (assume @p402 (forall @t532 (= @t531 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t100 @t198) @t10)))) % 1.32/1.58 (assume @p403 (forall @t532 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t614 (tptp.hAPP @t604 @t198)) @t10) (and @t105 (= @t198 @t10))))) % 1.32/1.58 (assume @p404 (forall (@list @t53 @t250) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal (tptp.hAPP @t454 @t250)) (tptp.hAPP @t234 @t53)))) % 1.32/1.58 (assume @p405 (forall @t532 (= (= @t616 @t10) (= @t198 @t615)))) % 1.32/1.58 (assume @p406 (forall @t617 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t100 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t112)) @t10) (= @t100 @t112)))) % 1.32/1.58 (assume @p407 (forall (@list @t618 @t100) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t100) @t618) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t618) @t100) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t100 @t618))))) % 1.32/1.58 (assume @p408 (forall (@list @t50 @t51) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t51 @t50) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t51 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t50))))) % 1.32/1.58 (assume @p409 (forall @t294 (= @t89 @t619))) % 1.32/1.58 (assume @p410 (forall @t294 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t619) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t52 @t86))))) % 1.32/1.58 (assume @p411 (forall @t230 (=> @t350 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t590 @t82) @t589)))) % 1.32/1.58 (assume @p412 (forall @t91 (=> @t351 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t621)))) % 1.32/1.58 (assume @p413 (forall @t230 (=> @t350 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t590) (or @t193 (not @t588)))))) % 1.32/1.58 (assume @p414 (forall @t91 (=> @t351 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t621 @t82))))) % 1.32/1.58 (assume @p415 (forall @t81 (=> @t224 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t620 @t38) (tptp.hAPP (tptp.hAPP @t35 (tptp.c_Groups_Oplus__class_Oplus @t31 @t53 @t38)) (tptp.c_Groups_Ominus__class_Ominus @t31 @t53 @t38)))))) % 1.32/1.58 (assume @p416 (forall @t609 (=> @t608 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t607 @t605) @t531)))) % 1.32/1.58 (assume @p417 (forall @t609 (=> @t608 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t622 @t100) (tptp.hAPP @t622 @t198)) @t531)))) % 1.32/1.58 (assume @p418 (forall @t500 (= @t624 @t623))) % 1.32/1.58 (assume @p419 (forall @t497 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t545 @t544) @t623))) % 1.32/1.58 (assume @p420 (forall @t474 (and (=> @t425 (= @t169 @t8)) (=> @t426 (= @t169 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 (tptp.hAPP (tptp.hAPP @t167 @t420) @t29))))))) % 1.32/1.58 (assume @p421 (forall @t532 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t616) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t615 @t198)))) % 1.32/1.58 (assume @p422 (forall @t532 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t616 @t10) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t198 @t615)))) % 1.32/1.58 (assume @p423 (forall @t532 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t616) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t615 @t198)))) % 1.32/1.58 (assume @p424 (forall @t532 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t616 @t10) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t198 @t615)))) % 1.32/1.58 (assume @p425 (forall (@list @t30) (and (=> @t626 (= @t625 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t30))) (=> (not @t626) (= @t625 @t30))))) % 1.32/1.58 (assume @p426 (forall @t270 (and (=> @t627 (= @t269 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_RealDef_Oreal @t51))) (=> (not @t627) (= @t269 @t51))))) % 1.32/1.58 (assume @p427 (forall @t293 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t300 @t7) @t53)))) % 1.32/1.58 (assume @p428 (not (forall (@list @t628) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t628) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t628 @t7) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t628 @t268))))))) % 1.32/1.58 (assume @p429 (forall @t6 (= (tptp.hAPP @t630 @t3) @t629))) % 1.32/1.58 (assume @p430 (forall (@list @t462) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t462) @t266) (=> (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t631)) (exists @t72 (= (tptp.hAPP @t631 @t69) @t9)))))) % 1.32/1.58 (assume @p431 (exists @t636 (and @t635 @t633))) % 1.32/1.58 (assume @p432 (=> @t262 (exists @t72 (= (tptp.hAPP @t77 @t69) @t9)))) % 1.32/1.58 (assume @p433 (= @t637 @t266)) % 1.32/1.58 (assume @p434 (forall (@list @t53 @t51 @t31) (=> @t233 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t51 @t58) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t51) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 (tptp.c_Rings_Oinverse__class_Oinverse @t31 @t53)) (tptp.c_Rings_Oinverse__class_Oinverse tptp.tc_RealDef_Oreal @t51))))))) % 1.32/1.58 (assume @p435 (not (= @t638 @t9))) % 1.32/1.58 (assume @p436 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t630))) % 1.32/1.58 (assume @p437 (forall @t244 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t639 @t263))) % 1.32/1.58 (assume @p438 (= @t261 @t638)) % 1.32/1.58 (assume @p439 (= (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____) @t73) @t641)) % 1.32/1.58 (assume @p440 (forall @t647 (=> @t575 (= @t646 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t238 @t643))))) % 1.32/1.58 (assume @p441 (forall @t650 (=> @t649 (= @t646 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t648 @t98))))) % 1.32/1.58 (assume @p442 (forall @t97 (=> @t448 (=> @t177 (=> @t314 (= @t469 (tptp.c_Groups_Ouminus__class_Ouminus @t31 (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t466 @t95)) @t435)))))))) % 1.32/1.58 (assume @p443 (forall @t107 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t652) (and @t651 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t100 @t38)))))) % 1.32/1.58 (assume @p444 (= @t638 (tptp.hAPP (tptp.hAPP @t12 @t655) @t638))) % 1.32/1.58 (assume @p445 (forall @t72 (= (tptp.hAPP @t630 @t69) (tptp.hAPP (tptp.hAPP @t12 @t656) @t638)))) % 1.32/1.58 (assume @p446 (= @t655 @t20)) % 1.32/1.58 (assume @p447 (= @t637 @t641)) % 1.32/1.58 (assume @p448 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t654))) % 1.32/1.58 (assume @p449 (forall (@list @t657) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t654 @t657)) @t7) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t630 @t657)) @t639)))) % 1.32/1.58 (assume @p450 (forall @t72 (= @t656 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t655 (tptp.hAPP (tptp.hAPP @t12 (tptp.hAPP @t658 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____)) @t69)))))) % 1.32/1.58 (assume @p451 (forall @t286 (=> @t660 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t379 @t659) (tptp.c_Groups_Oplus__class_Oplus @t31 @t95 (tptp.c_Groups_Ominus__class_Ominus @t31 @t181 @t179)))))) % 1.32/1.58 (assume @p452 (forall @t48 (=> @t661 @t446))) % 1.32/1.58 (assume @p453 (forall @t97 (=> @t661 (= @t451 (tptp.hAPP @t466 @t435))))) % 1.32/1.58 (assume @p454 (forall @t500 (= @t543 (or @t538 @t239)))) % 1.32/1.58 (assume @p455 (forall @t107 (=> @t661 (= (= @t652 @t38) @t396)))) % 1.32/1.58 (assume @p456 (forall (@list @t431 @t430 @t250 @t124) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t663 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t662 @t431)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t167 @t546) @t250) @t431)))) % 1.32/1.58 (assume @p457 (forall @t173 (=> @t653 @t664))) % 1.32/1.58 (assume @p458 (forall @t385 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t439) @t349)))) % 1.32/1.58 (assume @p459 (forall @t385 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t439 @t82) @t347)))) % 1.32/1.58 (assume @p460 (forall @t385 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t439) @t665)))) % 1.32/1.58 (assume @p461 (forall @t385 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t439 @t82) @t384)))) % 1.32/1.58 (assume @p462 (forall @t173 (=> @t667 (=> @t216 @t666)))) % 1.32/1.58 (assume @p463 (forall @t173 (=> @t667 (=> @t666 (=> @t177 @t216))))) % 1.32/1.58 (assume @p464 (forall @t173 (=> @t667 (=> @t372 @t668)))) % 1.32/1.58 (assume @p465 (forall @t97 (=> @t667 (=> @t139 (=> @t216 @t669))))) % 1.32/1.58 (assume @p466 (forall @t97 (=> @t667 (=> @t139 (=> @t369 @t669))))) % 1.32/1.58 (assume @p467 (forall @t173 (=> @t667 (=> @t668 (=> @t177 @t372))))) % 1.32/1.58 (assume @p468 (forall @t97 (=> @t667 (=> @t670 (=> @t216 @t378))))) % 1.32/1.58 (assume @p469 (forall @t97 (=> @t667 (=> @t670 (=> @t369 @t378))))) % 1.32/1.58 (assume @p470 (forall @t173 (=> @t667 (=> @t177 @t664)))) % 1.32/1.58 (assume @p471 (forall @t500 (=> @t610 (= @t543 @t239)))) % 1.32/1.58 (assume @p472 (forall @t500 (=> @t610 (= @t612 @t483)))) % 1.32/1.58 (assume @p473 (forall @t97 (=> @t667 (=> @t127 (=> @t216 @t671))))) % 1.32/1.58 (assume @p474 (forall @t97 (=> @t667 (=> @t127 (=> @t369 @t671))))) % 1.32/1.58 (assume @p475 (forall @t97 (=> @t667 (=> @t672 (=> @t216 @t341))))) % 1.32/1.58 (assume @p476 (forall @t97 (=> @t667 (=> @t672 (=> @t369 @t341))))) % 1.32/1.58 (assume @p477 (forall @t107 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t652 @t38) (or @t673 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t100)))))) % 1.32/1.58 (assume @p478 (forall @t97 (=> @t674 (=> @t177 (=> @t314 (= @t467 (tptp.hAPP (tptp.hAPP @t35 (tptp.hAPP @t318 @t436)) @t435))))))) % 1.32/1.58 (assume @p479 (forall @t173 (=> @t667 (=> @t216 (=> @t225 (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t436)))))) % 1.32/1.58 (assume @p480 (forall @t107 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t652) (and @t651 (tptp.c_Orderings_Oord__class_Oless @t31 @t100 @t38)))))) % 1.32/1.58 (assume @p481 (forall @t173 (=> @t674 @t468))) % 1.32/1.58 (assume @p482 (forall @t500 (=> @t610 (= @t624 @t506)))) % 1.32/1.58 (assume @p483 (forall @t650 (=> @t649 (= @t675 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t648 @t98))))) % 1.32/1.58 (assume @p484 (forall (@list @t29 @t122 @t250 @t124 @t430) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t430 @t124) (= @t676 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t167 @t432) @t250) @t122) @t29))))) % 1.32/1.58 (assume @p485 (forall @t650 (=> @t649 (= @t677 (= @t648 @t98))))) % 1.32/1.58 (assume @p486 (forall @t647 (=> @t575 (= @t675 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t238 @t643))))) % 1.32/1.58 (assume @p487 (forall (@list @t29 @t122 @t250 @t430 @t124) (=> @t513 (= @t676 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t122 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t167 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t430 @t124)) @t250) @t29)))))) % 1.32/1.58 (assume @p488 (forall @t647 (=> @t575 (= @t677 (= @t238 @t643))))) % 1.32/1.58 (assume @p489 (forall @t173 (=> @t667 (=> @t216 (=> @t135 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t38 @t436)))))) % 1.32/1.58 (assume @p490 (forall @t107 (=> @t653 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t652 @t38) (or @t673 (tptp.c_Orderings_Oord__class_Oless @t31 @t38 @t100)))))) % 1.32/1.58 (assume @p491 (=> @t267 (exists @t244 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t654 @t243)) @t7)))) % 1.32/1.58 (assume @p492 (not (forall @t195 (= (tptp.hAPP @t654 @t3) (tptp.hAPP @t654 @t194))))) % 1.32/1.58 (assume @p493 (forall (@list @t618 @t112 @t100 @t31) (=> @t281 (= (tptp.c_Orderings_Oord__class_Oless @t31 (tptp.c_Groups_Oabs__class_Oabs @t31 (tptp.c_Groups_Ominus__class_Ominus @t31 @t100 @t112)) @t618) (and (tptp.c_Orderings_Oord__class_Oless @t31 (tptp.c_Groups_Ominus__class_Ominus @t31 @t112 @t618) @t100) (tptp.c_Orderings_Oord__class_Oless @t31 @t100 (tptp.c_Groups_Oplus__class_Oplus @t31 @t112 @t618))))))) % 1.32/1.58 (assume @p494 (forall @t97 (=> @t680 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t679 @t678)))) % 1.32/1.58 (assume @p495 (forall @t685 (=> @t684 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t460 @t683 @t682) @t461) @t681)))) % 1.32/1.58 (assume @p496 (forall @t107 (=> @t464 (= (= @t82 @t100) @t108)))) % 1.32/1.58 (assume @p497 (forall @t320 (=> (tptp.class_Groups_Oab__semigroup__mult @t31) (= (tptp.hAPP (tptp.hAPP @t35 @t148) @t181) (tptp.hAPP @t36 @t316))))) % 1.32/1.58 (assume @p498 (forall @t320 (=> (tptp.class_Groups_Oab__semigroup__add @t31) @t688))) % 1.32/1.58 (assume @p499 (forall (@list @t353 @t199 @t112 @t31) (=> @t692 (= (= @t691 @t690) @t689)))) % 1.32/1.58 (assume @p500 (forall (@list @t353 @t112 @t199 @t31) (=> @t692 (= (= @t694 @t693) @t689)))) % 1.32/1.58 (assume @p501 (forall @t320 (=> @t692 @t696))) % 1.32/1.58 (assume @p502 (forall @t320 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t31) @t696))) % 1.32/1.58 (assume @p503 (forall @t342 (=> @t692 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t92 @t30) @t697) @t695)))) % 1.32/1.58 (assume @p504 (forall @t107 (=> (tptp.class_Groups_Oone @t31) (= (= @t38 @t100) @t396)))) % 1.32/1.58 (assume @p505 (forall @t700 (=> @t660 (=> @t699 (= @t325 @t698))))) % 1.32/1.58 (assume @p506 (forall @t291 (=> @t593 (= (= @t287 @t323) @t325)))) % 1.32/1.58 (assume @p507 (forall @t291 (=> @t593 (= (= @t287 @t199) (= @t323 @t112))))) % 1.32/1.58 (assume @p508 (forall @t291 (=> @t593 (= @t324 (= @t199 @t287))))) % 1.32/1.58 (assume @p509 (forall @t173 (=> @t593 (= (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t160) @t30)))) % 1.32/1.58 (assume @p510 (forall @t173 (=> @t680 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t277) @t277)))) % 1.32/1.58 (assume @p511 (forall @t173 (=> @t702 @t701))) % 1.32/1.58 (assume @p512 (forall @t173 (=> @t703 @t701))) % 1.32/1.58 (assume @p513 (forall @t385 (=> @t705 (= (= @t82 @t704) @t113)))) % 1.32/1.58 (assume @p514 (forall @t173 (=> @t702 @t706))) % 1.32/1.58 (assume @p515 (forall @t173 (=> @t703 @t706))) % 1.32/1.58 (assume @p516 (forall @t359 (=> @t708 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t690 @t707) @t399)))) % 1.32/1.58 (assume @p517 (forall @t364 (=> @t708 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t693 @t709) @t399)))) % 1.32/1.58 (assume @p518 (forall @t320 (=> @t711 (=> @t127 @t710)))) % 1.32/1.58 (assume @p519 (forall @t320 (=> @t711 (=> @t127 @t713)))) % 1.32/1.58 (assume @p520 (forall @t186 (=> @t711 (=> @t127 (=> @t335 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t379 @t659)))))) % 1.32/1.58 (assume @p521 (forall @t407 (=> @t708 (=> @t710 @t127)))) % 1.32/1.58 (assume @p522 (forall @t409 (=> @t708 (=> @t713 @t127)))) % 1.32/1.58 (assume @p523 (forall @t359 (=> @t708 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t690 @t707) @t289)))) % 1.32/1.58 (assume @p524 (forall @t364 (=> @t708 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t693 @t709) @t289)))) % 1.32/1.58 (assume @p525 (forall @t320 (=> @t715 (=> @t139 @t714)))) % 1.32/1.58 (assume @p526 (forall @t320 (=> @t715 (=> @t139 @t716)))) % 1.32/1.58 (assume @p527 (forall @t186 (=> @t715 (=> @t139 @t718)))) % 1.32/1.58 (assume @p528 (forall @t407 (=> @t708 (=> @t714 @t139)))) % 1.32/1.58 (assume @p529 (forall @t409 (=> @t708 (=> @t716 @t139)))) % 1.32/1.58 (assume @p530 (forall @t291 (=> @t593 (= @t719 @t325)))) % 1.32/1.58 (assume @p531 (forall @t291 (=> @t660 (= @t325 @t719)))) % 1.32/1.58 (assume @p532 (forall @t173 (=> @t593 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t30 @t30) @t82)))) % 1.32/1.58 (assume @p533 (forall @t173 (=> @t593 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t30 @t82) @t30)))) % 1.32/1.58 (assume @p534 (forall @t700 (=> @t720 (=> @t699 (= @t399 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t353 @t387)))))) % 1.32/1.58 (assume @p535 (forall @t700 (=> @t720 (=> @t699 (= @t289 (tptp.c_Orderings_Oord__class_Oless @t31 @t353 @t387)))))) % 1.32/1.58 (assume @p536 (forall @t173 (=> @t170 @t721))) % 1.32/1.58 (assume @p537 (forall @t173 (=> @t232 @t721))) % 1.32/1.58 (assume @p538 (forall @t173 (=> @t170 @t722))) % 1.32/1.58 (assume @p539 (forall @t173 (=> @t232 @t722))) % 1.32/1.58 (assume @p540 (forall @t385 (=> @t705 (= (= @t287 @t112) @t113)))) % 1.32/1.58 (assume @p541 (forall @t385 (=> @t593 (= (= @t287 @t82) @t113)))) % 1.32/1.58 (assume @p542 (forall @t385 (=> @t705 (= (= @t112 @t287) @t113)))) % 1.32/1.58 (assume @p543 (forall @t385 (=> @t593 (= (= @t82 @t287) (= @t82 @t112))))) % 1.32/1.58 (assume @p544 (forall @t48 (=> @t593 (= (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t82) @t82)))) % 1.32/1.58 (assume @p545 (forall @t97 (=> @t720 (=> @t127 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t163 @t160))))) % 1.32/1.58 (assume @p546 (forall @t723 (=> @t720 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t323 @t287) @t399)))) % 1.32/1.58 (assume @p547 (forall @t291 (=> @t720 (= @t724 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t323 @t112))))) % 1.32/1.58 (assume @p548 (forall @t291 (=> @t720 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t112 @t323) (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t199 @t287))))) % 1.32/1.58 (assume @p549 (forall @t97 (=> @t593 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t95 @t92) @t30)))) % 1.32/1.58 (assume @p550 (forall @t97 (=> @t593 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t184 @t92) @t30)))) % 1.32/1.58 (assume @p551 (forall @t291 (=> @t720 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t112 @t323) (tptp.c_Orderings_Oord__class_Oless @t31 @t199 @t287))))) % 1.32/1.58 (assume @p552 (forall @t291 (=> @t720 (= @t288 (tptp.c_Orderings_Oord__class_Oless @t31 @t323 @t112))))) % 1.32/1.58 (assume @p553 (forall @t723 (=> @t720 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t323 @t287) @t289)))) % 1.32/1.58 (assume @p554 (forall @t97 (=> @t660 (= @t725 (tptp.c_Groups_Oplus__class_Oplus @t31 @t160 @t163))))) % 1.32/1.58 (assume @p555 (forall @t97 (=> @t593 (= @t725 (tptp.c_Groups_Oplus__class_Oplus @t31 @t163 @t160))))) % 1.32/1.58 (assume @p556 (forall @t97 (=> @t593 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 (tptp.c_Groups_Oplus__class_Oplus @t31 @t160 @t92)) @t92)))) % 1.32/1.58 (assume @p557 (forall @t97 (=> @t593 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t160 @t184) @t92)))) % 1.32/1.58 (assume @p558 (forall @t97 (=> @t660 (= @t726 @t165)))) % 1.32/1.58 (assume @p559 (forall @t385 (=> @t680 (= (= @t290 @t82) @t113)))) % 1.32/1.58 (assume @p560 (forall @t48 (=> @t680 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t82) @t82)))) % 1.32/1.58 (assume @p561 (forall @t97 (=> @t680 (=> @t727 @t127)))) % 1.32/1.58 (assume @p562 (forall @t173 (=> @t680 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t30 @t277)))) % 1.32/1.58 (assume @p563 (forall @t97 (=> @t680 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t678) @t678)))) % 1.32/1.58 (assume @p564 (forall @t97 (=> @t680 (= @t679 @t728)))) % 1.32/1.58 (assume @p565 (forall @t173 (=> @t680 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t160) @t277)))) % 1.32/1.58 (assume @p566 (forall @t97 (=> @t729 (=> @t296 (=> @t295 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t184 @t82)))))) % 1.32/1.58 (assume @p567 (forall (@list @t30 @t92 @t181 @t31) (=> @t729 (=> @t333 (=> @t341 @t730))))) % 1.32/1.58 (assume @p568 (forall @t320 (=> @t729 (=> @t121 (=> @t731 @t730))))) % 1.32/1.58 (assume @p569 (forall @t230 (=> @t729 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t100) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t198) (= @t592 @t589)))))) % 1.32/1.58 (assume @p570 (forall @t97 (=> @t729 (=> @t121 (=> @t131 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t184)))))) % 1.32/1.58 (assume @p571 (forall @t385 (=> @t705 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t704 @t82) @t347)))) % 1.32/1.58 (assume @p572 (forall @t385 (=> @t705 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t704) @t349)))) % 1.32/1.58 (assume @p573 (forall @t385 (=> @t705 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t704) @t665)))) % 1.32/1.58 (assume @p574 (forall @t385 (=> @t705 @t732))) % 1.32/1.58 (assume @p575 (forall @t97 (=> @t729 (=> @t216 @t734)))) % 1.32/1.58 (assume @p576 (forall @t97 (=> @t729 (=> @t372 @t736)))) % 1.32/1.58 (assume @p577 (forall @t186 (=> @t715 (=> @t139 (=> @t335 @t717))))) % 1.32/1.58 (assume @p578 (forall @t186 (=> @t715 (=> @t127 @t718)))) % 1.32/1.58 (assume @p579 (forall @t291 (=> @t720 (= @t399 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t394 @t82))))) % 1.32/1.58 (assume @p580 (forall @t291 (=> @t720 (= @t289 (tptp.c_Orderings_Oord__class_Oless @t31 @t394 @t82))))) % 1.32/1.58 (assume @p581 (forall @t385 (=> @t705 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t287 @t112) @t349)))) % 1.32/1.58 (assume @p582 (forall @t385 (=> @t720 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t287 @t82) @t349)))) % 1.32/1.58 (assume @p583 (forall @t385 (=> @t705 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t112 @t287) @t347)))) % 1.32/1.58 (assume @p584 (forall @t385 (=> @t720 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t287) @t347)))) % 1.32/1.58 (assume @p585 (forall @t385 (=> @t705 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t287 @t112) @t665)))) % 1.32/1.58 (assume @p586 (forall @t385 (=> @t720 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t287 @t82) @t665)))) % 1.32/1.58 (assume @p587 (forall @t385 (=> @t720 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t287) @t384)))) % 1.32/1.58 (assume @p588 (forall @t97 (=> @t593 (=> (= @t184 @t82) (= @t160 @t92))))) % 1.32/1.58 (assume @p589 (forall @t173 (=> @t660 @t737))) % 1.32/1.58 (assume @p590 (forall @t173 (=> @t593 @t737))) % 1.32/1.58 (assume @p591 (forall @t291 (=> @t593 (= @t324 (= @t691 @t82))))) % 1.32/1.58 (assume @p592 (forall @t173 (=> @t593 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t160) @t82)))) % 1.32/1.58 (assume @p593 (forall @t173 (=> @t593 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t82 @t30) @t160)))) % 1.32/1.58 (assume @p594 (forall @t173 (=> @t680 (=> @t121 @t738)))) % 1.32/1.58 (assume @p595 (forall @t385 (=> @t680 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t290 @t82) @t113)))) % 1.32/1.58 (assume @p596 (forall @t173 (=> @t680 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t82 @t277)))) % 1.32/1.58 (assume @p597 (forall @t173 (=> @t680 (=> @t216 @t738)))) % 1.32/1.58 (assume @p598 (forall @t385 (=> @t680 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t290) (not @t113))))) % 1.32/1.58 (assume @p599 (forall @t173 (=> @t680 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t277 @t82))))) % 1.32/1.58 (assume @p600 (forall @t97 (=> @t593 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t30 @t163) @t184)))) % 1.32/1.58 (assume @p601 (forall @t97 (=> @t660 @t739))) % 1.32/1.58 (assume @p602 (forall @t97 (=> @t593 @t739))) % 1.32/1.58 (assume @p603 (forall @t97 (=> @t680 (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.c_Groups_Oabs__class_Oabs @t31 @t184) @t678)))) % 1.32/1.58 (assume @p604 (forall @t97 (=> @t680 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t740 @t728)))) % 1.32/1.58 (assume @p605 (forall @t97 (=> @t680 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t740 @t679)))) % 1.32/1.58 (assume @p606 (forall @t97 (=> @t680 (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.c_Groups_Oabs__class_Oabs @t31 @t740) @t679)))) % 1.32/1.58 (assume @p607 (forall @t97 (=> @t680 (=> @t727 @t741)))) % 1.32/1.58 (assume @p608 (forall @t97 (=> @t680 (=> @t127 (=> @t741 @t727))))) % 1.32/1.58 (assume @p609 (forall @t291 (=> @t680 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t290 @t199) (and @t399 @t724))))) % 1.32/1.58 (assume @p610 (forall @t173 (=> @t680 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t160 @t277)))) % 1.32/1.58 (assume @p611 (forall @t97 (=> @t729 (=> @t216 (=> @t131 @t733))))) % 1.32/1.58 (assume @p612 (forall @t97 (=> @t729 (=> @t121 @t734)))) % 1.32/1.58 (assume @p613 (forall @t320 (=> @t729 (=> @t216 (=> @t731 @t380))))) % 1.32/1.58 (assume @p614 (forall @t320 (=> @t729 (=> @t121 @t382)))) % 1.32/1.58 (assume @p615 (forall @t97 (=> @t729 (=> @t372 (=> @t295 @t735))))) % 1.32/1.58 (assume @p616 (forall @t97 (=> @t729 (=> @t296 @t736)))) % 1.32/1.58 (assume @p617 (forall @t173 (=> @t680 (=> @t296 @t742)))) % 1.32/1.58 (assume @p618 (forall @t173 (=> @t680 (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t277) @t82)))) % 1.32/1.58 (assume @p619 (forall @t173 (=> @t680 @t743))) % 1.32/1.58 (assume @p620 (forall @t173 (=> (tptp.class_Groups_Oabs__if @t31) (and @t743 (=> (not @t372) @t738))))) % 1.32/1.58 (assume @p621 (forall @t186 (=> @t680 (tptp.c_Orderings_Oord__class_Oless__eq @t31 (tptp.c_Groups_Oabs__class_Oabs @t31 @t185) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Oabs__class_Oabs @t31 @t182) (tptp.c_Groups_Oabs__class_Oabs @t31 @t180)))))) % 1.32/1.58 (assume @p622 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex @t745))) % 1.32/1.58 (assume @p623 (= @t74 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.tc_Complex_Ocomplex @t744))) % 1.32/1.58 (assume @p624 (forall @t748 (=> @t684 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t682) @t53) (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 (tptp.hAPP @t63 @t747)))))) % 1.32/1.58 (assume @p625 (forall (@list @t29 @t92) (=> (not (= @t92 @t9)) (=> @t190 (exists @t72 (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 @t20 (tptp.hAPP (tptp.hAPP @t12 @t92) (tptp.hAPP @t658 @t29)))) @t7)))))) % 1.32/1.58 (assume @p626 (forall (@list @t51 @t749 @t421 @t31) (=> @t684 (= (tptp.hAPP (tptp.hAPP @t750 @t753) @t51) (tptp.c_Groups_Oplus__class_Oplus @t460 (tptp.hAPP @t752 @t51) (tptp.hAPP @t751 @t51)))))) % 1.32/1.58 (assume @p627 (forall (@list @t199 @t98 @t112 @t31) (=> @t464 (= (= @t754 (tptp.c_Polynomial_Omonom @t31 @t199 @t98)) @t325)))) % 1.32/1.58 (assume @p628 (forall @t41 (=> @t660 (= (tptp.c_Groups_Ouminus__class_Ouminus @t460 @t755) (tptp.c_Polynomial_Omonom @t31 @t160 @t29))))) % 1.32/1.58 (assume @p629 (forall @t132 (=> @t660 (= (tptp.c_Groups_Ominus__class_Ominus @t460 @t755 @t756) (tptp.c_Polynomial_Omonom @t31 @t95 @t29))))) % 1.32/1.58 (assume @p630 (forall @t132 (=> @t703 (= (tptp.c_Groups_Oplus__class_Oplus @t460 @t755 @t756) (tptp.c_Polynomial_Omonom @t31 @t184 @t29))))) % 1.32/1.58 (assume @p631 (forall (@list @t29 @t92 @t122 @t30 @t31) (=> @t684 (= (tptp.hAPP (tptp.hAPP @t750 (tptp.c_Polynomial_Omonom @t31 @t30 @t122)) @t756) (tptp.c_Polynomial_Omonom @t31 @t148 @t214))))) % 1.32/1.58 (assume @p632 (forall @t120 (=> @t464 (= (= @t754 @t461) @t113)))) % 1.32/1.58 (assume @p633 (forall @t192 (=> @t464 (= (tptp.c_Polynomial_Omonom @t31 @t82 @t29) @t461)))) % 1.32/1.58 (assume @p634 (forall @t128 (=> @t684 (= (tptp.c_Polynomial_Osmult @t31 @t30 @t756) (tptp.c_Polynomial_Omonom @t31 @t148 @t29))))) % 1.32/1.58 (assume @p635 (forall (@list @t53 @t29 @t30 @t31) (=> @t757 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t755) @t53) (tptp.hAPP @t36 @t219))))) % 1.32/1.58 (assume @p636 (forall @t173 (=> @t464 (= (tptp.c_Polynomial_Omonom @t31 @t30 @t8) @t758)))) % 1.32/1.58 (assume @p637 (forall (@list @t759 @t462 @t31) (=> @t762 (= (= @t761 (tptp.c_Polynomial_Opoly @t31 @t759)) @t760)))) % 1.32/1.58 (assume @p638 (forall @t48 (=> @t660 (= (tptp.c_Groups_Ouminus__class_Ouminus @t460 @t461) @t461)))) % 1.32/1.58 (assume @p639 (forall @t763 (=> @t684 (= (tptp.hAPP (tptp.hAPP @t750 @t461) @t749) @t461)))) % 1.32/1.58 (assume @p640 (forall @t763 (=> @t703 (= (tptp.c_Groups_Oplus__class_Oplus @t460 @t461 @t749) @t749)))) % 1.32/1.58 (assume @p641 (forall @t764 (=> @t684 (= (tptp.hAPP @t752 @t461) @t461)))) % 1.32/1.58 (assume @p642 (forall @t764 (=> @t703 (= (tptp.c_Groups_Oplus__class_Oplus @t460 @t421 @t461) @t421)))) % 1.32/1.58 (assume @p643 (forall @t764 (=> @t660 (= (tptp.c_Groups_Ominus__class_Ominus @t460 @t421 @t461) @t421)))) % 1.32/1.58 (assume @p644 (forall @t763 (=> @t660 (= (tptp.c_Groups_Ominus__class_Ominus @t460 @t461 @t749) (tptp.c_Groups_Ouminus__class_Ouminus @t460 @t749))))) % 1.32/1.58 (assume @p645 (forall @t81 (=> @t281 (and (=> @t766 (= @t765 (tptp.c_Groups_Ouminus__class_Ouminus @t460 @t53))) (=> (not @t766) (= @t765 @t53)))))) % 1.32/1.58 (assume @p646 (forall (@list @t759 @t199 @t462 @t112 @t31) (=> @t464 (= (= @t767 (tptp.c_Polynomial_OpCons @t31 @t199 @t759)) (and @t325 @t760))))) % 1.32/1.58 (assume @p647 (forall @t772 (=> @t771 (= (tptp.c_Polynomial_Osmult @t31 @t30 @t770) @t769)))) % 1.32/1.58 (assume @p648 (forall @t776 (=> @t684 (= (tptp.hAPP @t752 @t775) @t774)))) % 1.32/1.58 (assume @p649 (forall @t777 (=> @t684 (= (tptp.c_Polynomial_Osmult @t31 @t30 @t753) (tptp.c_Groups_Oplus__class_Oplus @t460 @t768 @t775))))) % 1.32/1.58 (assume @p650 (forall @t777 (=> @t684 (= (tptp.hAPP (tptp.hAPP @t750 @t768) @t749) @t774)))) % 1.32/1.58 (assume @p651 (forall @t777 (=> @t771 (= (tptp.c_Polynomial_Osmult @t31 @t30 @t778) (tptp.c_Groups_Ominus__class_Ominus @t460 @t768 @t775))))) % 1.32/1.58 (assume @p652 (forall (@list @t53 @t421 @t29 @t31) (=> @t779 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 (tptp.hAPP (tptp.hAPP @t750 (tptp.c_Polynomial_Omonom @t31 @t38 @t29)) @t421)) @t53) (tptp.hAPP (tptp.hAPP @t35 @t219) @t747))))) % 1.32/1.58 (assume @p653 (forall @t781 (=> @t684 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t773) @t53) (tptp.hAPP (tptp.hAPP @t35 @t747) @t780))))) % 1.32/1.58 (assume @p654 (forall @t781 (=> @t684 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t753) @t53) (tptp.c_Groups_Oplus__class_Oplus @t31 @t747 @t780))))) % 1.32/1.58 (assume @p655 (forall @t81 (=> @t757 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t782) @t53) @t38)))) % 1.32/1.58 (assume @p656 (forall @t781 (=> @t771 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t778) @t53) (tptp.c_Groups_Ominus__class_Ominus @t31 @t747 @t780))))) % 1.32/1.58 (assume @p657 (forall @t784 (=> @t703 (= (tptp.c_Groups_Oplus__class_Oplus @t460 @t682 @t783) (tptp.c_Polynomial_OpCons @t31 @t184 @t753))))) % 1.32/1.58 (assume @p658 (forall (@list @t53 @t29 @t421 @t31) (=> @t757 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 (tptp.hAPP (tptp.hAPP @t785 @t421) @t29)) @t53) (tptp.hAPP (tptp.hAPP @t32 @t747) @t29))))) % 1.32/1.58 (assume @p659 (forall (@list @t53 @t421 @t31) (=> @t771 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t770) @t53) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t747))))) % 1.32/1.58 (assume @p660 (forall @t784 (=> @t660 (= (tptp.c_Groups_Ominus__class_Ominus @t460 @t682 @t783) (tptp.c_Polynomial_OpCons @t31 @t95 @t778))))) % 1.32/1.58 (assume @p661 (forall @t787 (=> @t684 (= (tptp.c_Polynomial_Osmult @t31 @t30 @t786) (tptp.c_Polynomial_Osmult @t31 @t148 @t421))))) % 1.32/1.58 (assume @p662 (forall @t787 (=> @t684 (= (tptp.c_Polynomial_Osmult @t31 @t184 @t421) (tptp.c_Groups_Oplus__class_Oplus @t460 @t768 @t786))))) % 1.32/1.58 (assume @p663 (forall @t764 (=> @t757 (= (tptp.c_Polynomial_Osmult @t31 @t38 @t421) @t421)))) % 1.32/1.58 (assume @p664 (forall (@list @t421 @t30 @t196) (=> (tptp.class_Groups_Oab__group__add @t196) (= (tptp.c_Groups_Ouminus__class_Ouminus @t788 (tptp.c_Polynomial_OpCons @t196 @t30 @t421)) (tptp.c_Polynomial_OpCons @t196 (tptp.c_Groups_Ouminus__class_Ouminus @t196 @t30) (tptp.c_Groups_Ouminus__class_Ouminus @t788 @t421)))))) % 1.32/1.58 (assume @p665 (forall @t772 (=> @t660 (= (tptp.c_Groups_Ouminus__class_Ouminus @t460 @t682) (tptp.c_Polynomial_OpCons @t31 @t160 @t770))))) % 1.32/1.58 (assume @p666 (forall @t787 (=> @t771 (= (tptp.c_Polynomial_Osmult @t31 @t95 @t421) (tptp.c_Groups_Ominus__class_Ominus @t460 @t768 @t786))))) % 1.32/1.58 (assume @p667 (forall @t772 (=> @t771 (= (tptp.c_Polynomial_Osmult @t31 @t160 @t421) @t769)))) % 1.32/1.58 (assume @p668 (forall @t465 (=> @t762 (= (= @t761 @t789) @t463)))) % 1.32/1.58 (assume @p669 (forall @t173 (=> @t684 (= (tptp.c_Polynomial_Osmult @t31 @t30 @t461) @t461)))) % 1.32/1.58 (assume @p670 (forall @t81 (=> @t684 (= (tptp.hAPP @t789 @t53) @t82)))) % 1.32/1.58 (assume @p671 (forall @t48 (=> @t464 (= (tptp.c_Polynomial_OpCons @t31 @t82 @t461) @t461)))) % 1.32/1.58 (assume @p672 (forall @t790 (=> @t464 (= (= @t767 @t461) (and @t113 @t463))))) % 1.32/1.58 (assume @p673 (forall @t790 (=> @t327 (= (= (tptp.c_Polynomial_Osmult @t31 @t112 @t462) @t461) (or @t113 @t463))))) % 1.32/1.58 (assume @p674 (forall @t764 (=> @t684 (= (tptp.c_Polynomial_Osmult @t31 @t82 @t421) @t461)))) % 1.32/1.58 (assume @p675 (forall @t48 (=> @t757 (= @t782 @t791)))) % 1.32/1.58 (assume @p676 (forall @t748 (=> @t684 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t768) @t53) (tptp.hAPP @t36 @t747))))) % 1.32/1.58 (assume @p677 (forall @t776 (=> @t684 (= (tptp.hAPP @t752 (tptp.c_Polynomial_OpCons @t31 @t30 @t749)) (tptp.c_Groups_Oplus__class_Oplus @t460 @t768 @t792))))) % 1.32/1.58 (assume @p678 (forall @t777 (=> @t684 (= (tptp.hAPP (tptp.hAPP @t750 @t682) @t749) (tptp.c_Groups_Oplus__class_Oplus @t460 @t775 @t792))))) % 1.32/1.58 (assume @p679 (forall @t787 (=> @t684 (= (tptp.c_Polynomial_Osmult @t31 @t30 (tptp.c_Polynomial_OpCons @t31 @t92 @t421)) (tptp.c_Polynomial_OpCons @t31 @t148 @t768))))) % 1.32/1.58 (assume @p680 (forall @t685 (=> @t684 (=> (= @t683 @t682) @t681)))) % 1.32/1.58 (assume @p681 (exists @t72 (= (tptp.hAPP @t745 @t69) @t9))) % 1.32/1.58 (assume @p682 (forall (@list @t421 @t181 @t31) (=> @t779 (= (tptp.c_Groups_Oplus__class_Oplus @t460 (tptp.hAPP (tptp.hAPP @t750 (tptp.c_Polynomial_OpCons @t31 (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t181) @t791)) @t794) (tptp.c_Polynomial_OpCons @t31 @t793 @t461)) @t421)))) % 1.32/1.58 (assume @p683 (forall @t104 (= @t103 (or @t99 @t101)))) % 1.32/1.58 (assume @p684 (forall (@list @t181 @t31) (=> @t684 (= (tptp.c_Polynomial_Osynthetic__div @t31 @t461 @t181) @t461)))) % 1.32/1.58 (assume @p685 (forall (@list @t181 @t421 @t30 @t31) (=> @t684 (= (tptp.c_Polynomial_Osynthetic__div @t31 @t682 @t181) @t795)))) % 1.32/1.58 (assume @p686 (forall (@list @t181 @t421 @t31) (=> @t684 (= (tptp.c_Groups_Oplus__class_Oplus @t460 @t421 (tptp.c_Polynomial_Osmult @t31 @t181 @t794)) @t795)))) % 1.32/1.58 (assume @p687 (forall (@list @t51 @t749 @t181 @t421 @t31) (=> @t684 (=> (= (tptp.c_Groups_Oplus__class_Oplus @t460 @t421 (tptp.c_Polynomial_Osmult @t31 @t181 @t749)) (tptp.c_Polynomial_OpCons @t31 @t51 @t749)) (and (= @t51 @t793) (= @t749 @t794)))))) % 1.32/1.58 (assume @p688 (forall @t796 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t614)) @t105))) % 1.32/1.58 (assume @p689 (forall @t799 (=> @t757 (= (tptp.hAPP (tptp.hAPP @t35 @t798) @t797) (tptp.hAPP @t218 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t421 @t749)))))) % 1.32/1.58 (assume @p690 (forall @t81 (=> @t757 (= (tptp.hAPP @t218 @t8) @t38)))) % 1.32/1.58 (assume @p691 (forall @t811 (=> @t757 (= @t810 (tptp.hAPP @t806 (tptp.hAPP @t802 @t800)))))) % 1.32/1.58 (assume @p692 (forall @t811 (=> @t757 (= @t810 (tptp.hAPP @t807 (tptp.hAPP @t809 @t800)))))) % 1.32/1.58 (assume @p693 (forall @t811 (=> @t757 (= @t810 (tptp.hAPP @t805 (tptp.hAPP @t802 @t808)))))) % 1.32/1.58 (assume @p694 (forall @t813 (=> @t757 (= @t812 (tptp.hAPP @t806 @t801))))) % 1.32/1.58 (assume @p695 (forall @t813 (=> @t757 (= @t812 (tptp.hAPP @t805 (tptp.hAPP @t802 @t803)))))) % 1.32/1.58 (assume @p696 (forall @t815 (=> @t757 (= @t814 (tptp.hAPP @t806 @t800))))) % 1.32/1.58 (assume @p697 (forall @t815 (=> @t757 (= @t814 (tptp.hAPP @t807 (tptp.hAPP @t805 @t800)))))) % 1.32/1.58 (assume @p698 (forall @t97 (=> @t757 (= @t148 @t345)))) % 1.32/1.58 (assume @p699 (forall @t186 (=> @t757 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t184 @t183) (tptp.c_Groups_Oplus__class_Oplus @t31 @t379 @t659))))) % 1.32/1.58 (assume @p700 (forall @t320 (=> @t757 (= @t687 (tptp.c_Groups_Oplus__class_Oplus @t31 @t379 @t92))))) % 1.32/1.58 (assume @p701 (forall @t320 (=> @t757 @t688))) % 1.32/1.58 (assume @p702 (forall @t817 (=> @t757 (= @t816 (tptp.c_Groups_Oplus__class_Oplus @t31 @t379 @t179))))) % 1.32/1.58 (assume @p703 (forall @t817 (=> @t757 (= @t816 (tptp.c_Groups_Oplus__class_Oplus @t31 @t181 (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 @t179)))))) % 1.32/1.58 (assume @p704 (forall (@list @t181 @t30 @t31) (=> @t757 (= @t379 @t697)))) % 1.32/1.58 (assume @p705 (forall @t173 (=> @t757 @t172))) % 1.32/1.58 (assume @p706 (forall @t173 (=> @t757 @t309))) % 1.32/1.58 (assume @p707 (forall @t723 (=> @t818 (= (= @t199 @t694) @t113)))) % 1.32/1.58 (assume @p708 (forall @t173 (=> @t757 @t706))) % 1.32/1.58 (assume @p709 (forall @t173 (=> @t757 @t701))) % 1.32/1.58 (assume @p710 (forall (@list @t603 @t100 @t198 @t657 @t31) (=> @t818 (= (= (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t819 @t198) (tptp.hAPP @t397 @t603)) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t819 @t603) (tptp.hAPP @t397 @t198))) (or (= @t657 @t100) (= @t198 @t603)))))) % 1.32/1.58 (assume @p711 (forall (@list @t92 @t122 @t30 @t31) (=> @t757 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t820 (tptp.hAPP @t315 @t122)) (tptp.hAPP @t318 @t122))))) % 1.32/1.58 (assume @p712 (forall @t320 (=> @t757 @t319))) % 1.32/1.58 (assume @p713 (forall @t700 (=> @t818 (= (and (not @t325) (not @t698)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t358 (tptp.hAPP @t326 @t387)) (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.hAPP @t310 @t387) @t357))))))) % 1.32/1.58 (assume @p714 (forall @t821 (=> @t757 (= (tptp.hAPP @t63 (tptp.c_Groups_Oplus__class_Oplus @t31 @t52 @t205)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t64 (tptp.hAPP @t63 @t205)))))) % 1.32/1.58 (assume @p715 (forall @t173 (=> @t757 @t722))) % 1.32/1.58 (assume @p716 (forall @t173 (=> @t757 @t721))) % 1.32/1.58 (assume @p717 (forall (@list @t749 @t52 @t53 @t31) (=> @t757 (= (tptp.hAPP (tptp.hAPP @t32 @t64) @t749) (tptp.hAPP (tptp.hAPP @t35 @t797) (tptp.hAPP (tptp.hAPP @t32 @t52) @t749)))))) % 1.32/1.58 (assume @p718 (forall @t799 (=> @t757 (= (tptp.hAPP (tptp.hAPP @t32 @t798) @t749) (tptp.hAPP @t218 (tptp.hAPP @t423 @t749)))))) % 1.32/1.58 (assume @p719 (forall @t81 (=> @t757 (= (tptp.hAPP @t218 @t73) @t53)))) % 1.32/1.58 (assume @p720 (forall (@list @t179 @t181 @t92 @t30 @t51 @t31) (=> @t818 (=> (not (= @t51 @t82)) (=> (and @t129 (not (= @t181 @t179))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t30 (tptp.hAPP @t822 @t181)) (tptp.c_Groups_Oplus__class_Oplus @t31 @t92 (tptp.hAPP @t822 @t179))))))))) % 1.32/1.58 (assume @p721 (forall (@list @t122 @t30 @t31) (=> @t757 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t820 @t122) @t823)))) % 1.32/1.58 (assume @p722 (forall (@list @t30 @t122 @t31) (=> @t757 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t122 @t820) @t823)))) % 1.32/1.58 (assume @p723 (forall (@list @t122 @t31) (=> @t757 (= (tptp.c_Groups_Oplus__class_Oplus @t31 @t122 @t122) (tptp.hAPP (tptp.hAPP @t35 @t413) @t122))))) % 1.32/1.58 (assume @p724 (forall @t81 (=> @t779 (= @t158 (tptp.hAPP (tptp.hAPP @t35 @t222) @t53))))) % 1.32/1.58 (assume @p725 (forall @t91 (=> @t779 (= @t144 (tptp.c_Groups_Oplus__class_Oplus @t31 @t53 @t824))))) % 1.32/1.58 (assume @p726 (forall @t777 (=> @t684 (= (tptp.c_Polynomial_Opcompose @t31 @t682 @t749) (tptp.c_Groups_Oplus__class_Oplus @t460 @t758 (tptp.hAPP @t751 @t825)))))) % 1.32/1.58 (assume @p727 (forall @t385 (=> @t281 @t732))) % 1.32/1.58 (assume @p728 (forall @t48 (=> @t84 (exists @t829 (and @t828 @t827))))) % 1.32/1.58 (assume @p729 (forall @t781 (=> @t684 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t31 @t825) @t53) (tptp.hAPP @t746 @t780))))) % 1.32/1.58 (assume @p730 (forall @t763 (=> @t684 (= (tptp.c_Polynomial_Opcompose @t31 @t461 @t749) @t461)))) % 1.32/1.58 (assume @p731 (forall @t104 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t830 (tptp.hAPP (tptp.hAPP @t831 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t100)) @t98)) (or (not (= @t100 @t830)) @t99)))) % 1.32/1.58 (assume @p732 (forall @t505 (= (tptp.hAPP @t832 @t504) (tptp.hAPP (tptp.hAPP @t834 @t833) (tptp.hAPP @t832 @t205))))) % 1.32/1.58 (assume @p733 (forall @t505 (= (tptp.hAPP (tptp.hAPP @t831 @t833) @t205) (tptp.hAPP @t832 (tptp.hAPP (tptp.hAPP @t167 @t52) @t205))))) % 1.32/1.58 (assume @p734 (forall @t385 (=> @t705 (= (= @t704 @t82) @t113)))) % 1.32/1.58 (assume @p735 (forall @t585 (=> (= @t206 @t7) (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 @t205 @t20)) @t7) (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 @t205 @t20)) @t7) (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 @t205 tptp.c_Complex_Oii)) @t7) (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 @t205 tptp.c_Complex_Oii)) @t7))))) % 1.32/1.58 (assume @p736 (forall (@list @t112 @t462 @t31) (=> @t327 (= (= (tptp.hAPP @t761 @t112) @t82) (or @t463 (not (= (tptp.c_Polynomial_Oorder @t31 @t112 @t462) @t8))))))) % 1.32/1.58 (assume @p737 (forall @t585 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t205 @t830) @t205))) % 1.32/1.58 (assume @p738 (forall @t585 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t830 @t205) @t205))) % 1.32/1.58 (assume @p739 (forall @t228 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 (tptp.hAPP (tptp.hAPP @t831 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t53)) @t29)))) % 1.32/1.58 (assume @p740 (forall (@list @t124) (and (=> @t836 (= @t835 (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t124))) (=> (not @t836) (= @t835 @t124))))) % 1.32/1.58 (assume @p741 (forall @t275 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t272 @t273) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t272 @t273) @t830)))) % 1.32/1.58 (assume @p742 (forall @t838 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t603) @t837) (= @t603 @t830)))) % 1.32/1.58 (assume @p743 (forall @t434 (=> @t840 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t830 @t431) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t839 @t124) (tptp.hAPP @t839 @t430)))))) % 1.32/1.58 (assume @p744 (forall @t491 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t830 @t238) (= (= (tptp.hAPP (tptp.hAPP @t834 @t238) @t98) @t837) (and (= @t238 @t837) (= @t98 @t837)))))) % 1.32/1.58 (assume @p745 (forall @t838 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t837 @t603) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t830 @t603)))) % 1.32/1.58 (assume @p746 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t830) @t830)) % 1.32/1.58 (assume @p747 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t830 @t837)) % 1.32/1.58 (assume @p748 (not (= @t830 @t837))) % 1.32/1.58 (assume @p749 (forall @t585 (= (tptp.hAPP (tptp.hAPP @t834 @t837) @t205) @t205))) % 1.32/1.58 (assume @p750 (forall @t585 (= (tptp.hAPP @t841 @t837) @t205))) % 1.32/1.58 (assume @p751 (forall @t478 (= @t843 (tptp.hAPP @t842 @t205)))) % 1.32/1.58 (assume @p752 (forall (@list @t657 @t603) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t603 @t657) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t603 @t657) (not (= @t603 @t657)))))) % 1.32/1.58 (assume @p753 (forall @t294 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t53 @t52) @t306 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t52 @t53)))) % 1.32/1.58 (assume @p754 (forall @t478 (= (tptp.hAPP (tptp.hAPP @t834 @t844) @t207) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t843)))) % 1.32/1.58 (assume @p755 (forall @t520 (= (tptp.hAPP (tptp.hAPP @t834 (tptp.hAPP @t846 @t516)) @t515) (tptp.hAPP @t846 (tptp.hAPP @t845 @t515))))) % 1.32/1.58 (assume @p756 (forall @t474 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t834 @t122) @t29)) @t837) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t122) @t837)))) % 1.32/1.58 (assume @p757 (forall @t586 (= (tptp.hAPP (tptp.hAPP @t834 @t849) @t207) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t848 @t847)))) % 1.32/1.58 (assume @p758 (forall @t852 (= (tptp.hAPP @t842 @t849) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t851 @t850)))) % 1.32/1.58 (assume @p759 (forall @t854 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t657 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t603 @t837)) @t853))) % 1.32/1.58 (assume @p760 (forall (@list @t205 @t856 @t207 @t857) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t857 @t207) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t856 @t205) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t857 @t856) @t855))))) % 1.32/1.58 (assume @p761 (forall @t434 (=> @t840 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t124 @t431) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t430 @t431))))) % 1.32/1.58 (assume @p762 (forall @t208 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t207 @t205) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t207 @t837) @t205)))) % 1.32/1.58 (assume @p763 (forall @t586 (= (tptp.hAPP (tptp.hAPP @t834 @t858) @t207) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t848 @t847)))) % 1.32/1.58 (assume @p764 (forall @t854 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t657 @t837) @t603) @t853))) % 1.32/1.58 (assume @p765 (forall @t852 (= (tptp.hAPP @t842 @t858) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t851 @t850)))) % 1.32/1.58 (assume @p766 (forall @t854 (= @t859 (or @t853 (= @t657 @t603))))) % 1.32/1.58 (assume @p767 (forall @t854 (= @t859 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t657 @t603)))) % 1.32/1.58 (assume @p768 (forall @t585 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t860 @t205) @t830)))) % 1.32/1.58 (assume @p769 (forall @t585 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t844 @t205) @t830))) % 1.32/1.58 (assume @p770 (forall @t838 (= (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 @t837 @t603) @t603) @t830) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t603 @t830)))) % 1.32/1.58 (assume @p771 (forall @t585 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 @t205) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t830 @t860)))) % 1.32/1.58 (assume @p772 (not (= tptp.c_Complex_Oii @t20))) % 1.32/1.58 (assume @p773 (not (= tptp.c_Complex_Oii @t9))) % 1.32/1.58 (assume @p774 (forall @t293 (= (tptp.hAPP @t861 (tptp.hAPP @t861 @t53)) (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Complex_Ocomplex @t53)))) % 1.32/1.58 (assume @p775 (= (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))) % 1.32/1.58 (assume @p776 (= (tptp.hAPP @t861 tptp.c_Complex_Oii) @t27)) % 1.32/1.58 (assume @p777 (forall (@list @t53 @t205 @t179) (=> @t863 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t205 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t53 @t862))))) % 1.32/1.58 (assume @p778 (forall (@list @t205 @t53 @t179) (=> @t863 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t53 @t862) @t205)))) % 1.32/1.58 (assume @p779 (forall @t478 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t865) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t844 @t864)))) % 1.32/1.58 (assume @p780 (forall @t478 (= @t867 @t866))) % 1.32/1.58 (assume @p781 (forall @t478 (= @t866 @t867))) % 1.32/1.58 (assume @p782 (forall @t585 (= (tptp.c_Groups_Ouminus__class_Ouminus tptp.tc_Int_Oint @t844) @t205))) % 1.32/1.58 (assume @p783 (forall @t475 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t207 @t207))) % 1.32/1.58 (assume @p784 (forall @t478 (or @t869 @t868))) % 1.32/1.58 (assume @p785 (forall @t434 (=> @t870 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t430 @t431) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t124 @t431))))) % 1.32/1.58 (assume @p786 (forall @t478 (=> @t869 (=> @t868 @t479)))) % 1.32/1.58 (assume @p787 (forall @t434 (=> @t870 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t431 @t124) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t431 @t430))))) % 1.32/1.58 (assume @p788 (forall @t520 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t858 @t515) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t518 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t516 @t515))))) % 1.32/1.58 (assume @p789 (forall @t505 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t53 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t52 @t205)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t52 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t53 @t205))))) % 1.32/1.58 (assume @p790 (forall @t478 (= @t865 @t855))) % 1.32/1.58 (assume @p791 (forall @t874 (=> @t873 (=> @t872 (=> @t871 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t749 @t837)))))) % 1.32/1.58 (assume @p792 (forall @t874 (=> @t873 (=> @t872 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t51 @t30) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t837 @t749)))))) % 1.32/1.58 (assume @p793 (forall @t887 (=> @t886 (=> @t883 (=> @t881 (=> @t880 (=> @t878 (=> @t877 @t876)))))))) % 1.32/1.58 (assume @p794 (forall @t890 (=> @t889 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t51 @t830) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t92 @t51) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t92 @t879) @t888)))))) % 1.32/1.58 (assume @p795 (forall @t887 (=> @t886 (=> @t892 (=> @t891 (=> @t871 (=> @t878 (=> @t877 @t888)))))))) % 1.32/1.58 (assume @p796 (forall @t890 (=> @t889 (=> @t880 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t879 @t92) (=> @t881 @t876)))))) % 1.32/1.58 (assume @p797 (forall @t893 (=> @t883 (=> @t880 (=> @t878 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t875 @t830)))))) % 1.32/1.58 (assume @p798 (forall @t893 (=> @t892 (=> @t891 (=> @t878 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 @t875)))))) % 1.32/1.58 (assume @p799 (forall @t228 (=> @t894 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 (tptp.hAPP @t832 @t29))))) % 1.32/1.58 (assume @p800 (forall @t294 (=> @t894 (=> @t895 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 (tptp.hAPP (tptp.hAPP @t834 @t53) @t52)))))) % 1.32/1.58 (assume @p801 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 @t830)) % 1.32/1.58 (assume @p802 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 @t837)) % 1.32/1.58 (assume @p803 (forall @t294 (=> @t894 (=> @t895 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t53 @t52)))))) % 1.32/1.58 (assume @p804 (not (forall @t248 (=> @t247 (not @t246))))) % 1.32/1.58 (assume @p805 (forall @t81 (=> @t896 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t53 @t53)))) % 1.32/1.58 (assume @p806 (forall @t900 (=> @t899 (= @t898 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t196 @t5 @t4)))))) % 1.32/1.58 (assume @p807 (forall @t91 (=> @t903 (or @t902 @t901)))) % 1.32/1.58 (assume @p808 (forall @t230 (=> @t906 (= @t229 (and @t905 @t904))))) % 1.32/1.58 (assume @p809 (forall @t91 (=> @t896 (=> @t306 @t902)))) % 1.32/1.58 (assume @p810 (forall (@list @t100 @t1 @t2 @t31 @t196) (=> @t899 (=> @t898 (tptp.c_Orderings_Oord__class_Oless__eq @t196 (tptp.hAPP @t2 @t100) (tptp.hAPP @t1 @t100)))))) % 1.32/1.58 (assume @p811 (forall @t908 (=> @t906 (=> @t904 @t907)))) % 1.32/1.58 (assume @p812 (forall @t320 (=> @t910 (=> @t129 (=> @t731 @t909))))) % 1.32/1.58 (assume @p813 (forall @t320 (=> @t906 (=> @t129 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t181 @t92) @t911))))) % 1.32/1.58 (assume @p814 (forall @t320 (=> @t910 (=> @t127 (=> @t695 @t909))))) % 1.32/1.58 (assume @p815 (forall @t342 (=> @t906 (=> @t341 (=> @t695 @t911))))) % 1.32/1.58 (assume @p816 (forall @t91 (=> @t906 (=> @t902 (=> @t901 @t306))))) % 1.32/1.58 (assume @p817 (forall @t821 (=> @t896 (=> @t902 (=> @t912 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t53 @t205)))))) % 1.32/1.58 (assume @p818 (forall @t913 (=> @t906 (=> @t901 (=> @t902 @t306))))) % 1.32/1.58 (assume @p819 (forall @t915 (=> @t906 (=> @t901 (=> @t914 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t205 @t53)))))) % 1.32/1.58 (assume @p820 (forall @t91 (=> @t903 (=> @t916 @t901)))) % 1.32/1.58 (assume @p821 (forall @t91 (=> @t903 (=> @t305 (=> @t307 @t303))))) % 1.32/1.58 (assume @p822 (forall @t91 (=> @t896 (=> @t304 (not @t303))))) % 1.32/1.58 (assume @p823 (forall @t915 (=> @t906 (=> @t303 @t918)))) % 1.32/1.58 (assume @p824 (forall @t821 (=> @t896 (=> @t304 @t921)))) % 1.32/1.58 (assume @p825 (forall @t342 (=> @t906 (=> @t378 (=> @t695 @t922))))) % 1.32/1.58 (assume @p826 (forall @t320 (=> @t910 (=> @t139 (=> @t695 @t923))))) % 1.32/1.58 (assume @p827 (forall @t320 (=> @t906 (=> @t129 (=> (tptp.c_Orderings_Oord__class_Oless @t31 @t181 @t92) @t922))))) % 1.32/1.58 (assume @p828 (forall @t320 (=> @t910 (=> @t129 (=> @t381 @t923))))) % 1.32/1.58 (assume @p829 (forall @t371 (=> @t906 (=> @t378 (not @t139))))) % 1.32/1.58 (assume @p830 (forall @t97 (=> @t896 (=> @t139 (not @t378))))) % 1.32/1.58 (assume @p831 (forall @t91 (=> @t906 (=> @t304 (not (= @t52 @t53)))))) % 1.32/1.58 (assume @p832 (forall @t91 (=> @t906 (=> @t304 @t307)))) % 1.32/1.58 (assume @p833 (forall @t91 (=> @t903 @t308))) % 1.32/1.58 (assume @p834 (forall @t908 (=> @t903 (=> (not @t927) @t926)))) % 1.32/1.58 (assume @p835 (forall @t91 (=> @t903 (or @t304 @t306 @t303)))) % 1.32/1.58 (assume @p836 (forall @t230 (=> @t903 (= @t925 (or @t927 @t229))))) % 1.32/1.58 (assume @p837 (forall @t230 (=> @t903 (= @t533 (or @t924 @t927))))) % 1.32/1.58 (assume @p838 (forall @t81 (=> @t896 (not (tptp.c_Orderings_Oord__class_Oless @t31 @t53 @t53))))) % 1.32/1.58 (assume @p839 (forall @t915 (=> @t906 (=> @t901 @t918)))) % 1.32/1.58 (assume @p840 @t929) % 1.32/1.58 (assume @p841 (forall @t915 (=> @t906 (=> @t303 (=> @t914 @t917))))) % 1.32/1.58 (assume @p842 (forall @t821 (=> @t896 (=> @t304 (=> @t912 @t919))))) % 1.32/1.58 (assume @p843 (forall @t371 (=> @t906 (=> @t341 (=> @t930 @t378))))) % 1.32/1.58 (assume @p844 (forall @t97 (=> @t906 (=> @t127 (=> @t930 @t139))))) % 1.32/1.58 (assume @p845 (forall @t91 (=> @t906 (=> @t902 (or @t304 @t306))))) % 1.32/1.58 (assume @p846 (forall @t230 (=> @t903 (=> @t905 @t926)))) % 1.32/1.58 (assume @p847 (forall @t91 (=> @t896 (=> @t304 @t902)))) % 1.32/1.58 (assume @p848 (forall @t913 (=> @t903 (=> @t901 @t305)))) % 1.32/1.58 (assume @p849 (forall @t97 (=> @t906 (=> @t930 (=> @t341 @t378))))) % 1.32/1.58 (assume @p850 (forall @t97 (=> @t906 (=> @t930 (=> @t127 @t139))))) % 1.32/1.58 (assume @p851 (forall @t230 (=> @t903 (=> @t925 @t907)))) % 1.32/1.58 (assume @p852 (forall @t913 (=> @t903 (=> (not @t901) @t304)))) % 1.32/1.58 (assume @p853 (forall @t91 (=> @t903 (=> @t305 @t901)))) % 1.32/1.58 (assume @p854 (forall @t230 (=> @t906 (= @t905 (or @t924 @t229))))) % 1.32/1.58 (assume @p855 (forall @t230 (=> @t896 (= @t924 (and @t905 (not @t904)))))) % 1.32/1.58 (assume @p856 (forall @t230 (=> @t906 (= @t924 (and @t905 @t533))))) % 1.32/1.58 (assume @p857 (forall @t91 (=> @t903 (or @t902 @t303)))) % 1.32/1.58 (assume @p858 (forall @t230 (=> @t903 (= (not @t905) @t927)))) % 1.32/1.58 (assume @p859 (forall @t230 (=> @t903 (= @t925 @t904)))) % 1.32/1.58 (assume @p860 (exists (@list @t576 @t931) (and (not (= @t931 @t9)) (not (= @t576 @t8)) (exists @t636 (and (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t634 @t576) @t73) @t641) (forall @t72 (= @t656 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex @t655 (tptp.hAPP (tptp.hAPP @t12 (tptp.hAPP @t658 @t576)) (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t931 @t632)) @t69)))))))))) % 1.32/1.58 (assume @p861 (forall @t293 (=> @t265 (= (tptp.c_RComplete_Onatceiling @t933) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t932 @t73))))) % 1.32/1.58 (assume @p862 (forall @t900 (=> @t899 (= (tptp.c_Orderings_Oord__class_Oless @t897 @t2 @t1) (and @t898 (not (tptp.c_Orderings_Oord__class_Oless__eq @t897 @t1 @t2))))))) % 1.32/1.58 (assume @p863 (= (tptp.c_RComplete_Onatceiling @t10) @t8)) % 1.32/1.58 (assume @p864 (forall @t293 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t8 @t932))) % 1.32/1.58 (assume @p865 (forall @t294 (=> @t577 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t932 (tptp.c_RComplete_Onatceiling @t52))))) % 1.32/1.58 (assume @p866 (= (tptp.c_RComplete_Onatceiling @t7) @t73)) % 1.32/1.58 (assume @p867 (forall @t293 (=> @t934 (= @t932 @t8)))) % 1.32/1.58 (assume @p868 (forall @t796 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t935 @t73) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t100 @t7)))) % 1.32/1.58 (assume @p869 (forall @t48 (=> @t119 (= @t32 (tptp.c_Power_Opower_Opower @t31 @t38 @t35))))) % 1.32/1.58 (assume @p870 (forall @t48 (=> @t84 (exists @t829 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t826) @t827))))) % 1.32/1.58 (assume @p871 (forall (@list @t112 @t937 @t936 @t31) (= (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower_Opower @t31 @t936 @t937) @t112) @t8) @t936))) % 1.32/1.58 (assume @p872 (forall (@list @t939 @t938 @t31 @t196) (=> (and (tptp.class_RealVector_Oreal__normed__vector @t196) @t910) (=> (forall @t274 (=> @t942 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t196 (tptp.c_Groups_Ominus__class_Ominus @t196 @t940 @t941)) @t7))) (forall @t274 (=> @t942 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t196 @t941) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t7 (tptp.c_RealVector_Onorm__class_Onorm @t196 @t940))))))))) % 1.32/1.58 (assume @p873 (forall @t175 (=> @t66 (exists @t829 (and @t828 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 (tptp.hAPP (tptp.hAPP @t35 @t3) @t52)) @t943))))))) % 1.32/1.58 (assume @p874 (forall @t48 (=> @t66 (exists @t829 (and @t828 (forall (@list @t931 @t944) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 (tptp.hAPP (tptp.hAPP @t35 @t931) @t944)) (tptp.hAPP (tptp.hAPP @t62 (tptp.hAPP (tptp.hAPP @t62 (tptp.c_RealVector_Onorm__class_Onorm @t31 @t931)) (tptp.c_RealVector_Onorm__class_Onorm @t31 @t944))) @t826)))))))) % 1.32/1.58 (assume @p875 (forall @t81 (=> @t66 (exists @t829 (and @t828 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t31 (tptp.hAPP @t63 @t3)) @t943))))))) % 1.32/1.58 (assume @p876 (not (forall @t636 (=> @t635 (not @t633))))) % 1.32/1.58 (assume @p877 (forall @t293 (=> @t265 (= (tptp.c_RComplete_Onatfloor @t933) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t945 @t73))))) % 1.32/1.58 (assume @p878 (= (tptp.c_RComplete_Onatfloor @t10) @t8)) % 1.32/1.58 (assume @p879 (= (tptp.c_RComplete_Onatfloor @t7) @t73)) % 1.32/1.58 (assume @p880 (forall @t293 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t8 @t945))) % 1.32/1.58 (assume @p881 (forall @t294 (=> @t577 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t945 (tptp.c_RComplete_Onatfloor @t52))))) % 1.32/1.58 (assume @p882 (forall @t293 (=> @t934 (= @t945 @t8)))) % 1.32/1.58 (assume @p883 (forall @t796 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t73 @t946) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7 @t100)))) % 1.32/1.58 (assume @p884 (forall (@list @t92 @t30) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t30) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t92) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t167 @t947) (tptp.c_RComplete_Onatfloor @t92)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t62 @t30) @t92))))))) % 1.32/1.58 (assume @p885 (forall @t951 (and @t950 (=> (not @t949) (= @t948 @t830))))) % 1.32/1.58 (assume @p886 (forall @t505 (=> @t953 @t952))) % 1.32/1.58 (assume @p887 (forall @t294 (=> @t894 (=> @t895 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t830 @t948))))) % 1.32/1.58 (assume @p888 (forall @t951 @t950)) % 1.32/1.58 (assume @p889 (forall @t955 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t53 @t205) @t954))) % 1.32/1.58 (assume @p890 (forall @t505 (=> @t489 @t954))) % 1.32/1.58 (assume @p891 (forall @t294 (=> @t489 @t953))) % 1.32/1.58 (assume @p892 (forall @t955 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t53 @t205) @t952))) % 1.32/1.58 (assume @p893 (forall @t958 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t956 @t53) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t957) (= @t932 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t29 @t73)))))) % 1.32/1.58 (assume @p894 (forall @t790 (=> @t281 (= (tptp.c_Polynomial_Opos__poly @t31 @t767) (or (tptp.c_Polynomial_Opos__poly @t31 @t462) (and @t463 @t665)))))) % 1.32/1.58 (assume @p895 (forall @t416 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t956))) % 1.32/1.58 (assume @p896 (forall @t488 (=> @t512 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t472) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t959 @t956))))) % 1.32/1.58 (assume @p897 (forall @t529 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t961 @t960) @t482))) % 1.32/1.58 (assume @p898 (forall @t416 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t956 @t10)))) % 1.32/1.58 (assume @p899 (forall @t474 (= @t963 @t962))) % 1.32/1.58 (assume @p900 (forall @t474 (= @t962 @t963))) % 1.32/1.58 (assume @p901 (forall @t966 (=> @t281 (=> @t965 (=> @t964 (tptp.c_Polynomial_Opos__poly @t31 @t773)))))) % 1.32/1.58 (assume @p902 (forall @t293 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t967) @t967))) % 1.32/1.58 (assume @p903 (forall @t528 (= (= @t961 @t10) @t99))) % 1.32/1.58 (assume @p904 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t8) @t10)) % 1.32/1.58 (assume @p905 (forall @t474 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t169) (tptp.hAPP (tptp.hAPP @t62 @t959) @t956)))) % 1.32/1.58 (assume @p906 (forall @t48 (=> @t281 (not (tptp.c_Polynomial_Opos__poly @t31 @t461))))) % 1.32/1.58 (assume @p907 (forall @t529 (= (= @t961 @t960) (= @t98 @t238)))) % 1.32/1.58 (assume @p908 (forall @t966 (=> @t281 (=> @t965 (=> @t964 (tptp.c_Polynomial_Opos__poly @t31 @t753)))))) % 1.32/1.58 (assume @p909 (forall @t474 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t214) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t959 @t956)))) % 1.32/1.58 (assume @p910 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t73) @t7)) % 1.32/1.58 (assume @p911 (forall @t528 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t961 @t10) @t99))) % 1.32/1.58 (assume @p912 (forall @t293 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t932)))) % 1.32/1.58 (assume @p913 (forall @t529 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t961 @t960) @t968))) % 1.32/1.58 (assume @p914 (forall @t230 (=> @t281 (= (tptp.c_Orderings_Oord__class_Oless__eq @t460 @t100 @t198) (or @t229 @t969))))) % 1.32/1.58 (assume @p915 (forall @t416 (= (tptp.c_RComplete_Onatceiling @t956) @t29))) % 1.32/1.58 (assume @p916 (forall @t416 (= (tptp.c_RComplete_Onatfloor @t956) @t29))) % 1.32/1.58 (assume @p917 (forall @t293 (=> @t265 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t970 @t53)))) % 1.32/1.58 (assume @p918 (forall @t971 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t967 @t30) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t53 @t947)))) % 1.32/1.58 (assume @p919 (forall @t971 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t53 @t972) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t932 @t30)))) % 1.32/1.58 (assume @p920 (forall @t228 (=> (= @t53 @t970) (= (tptp.c_RComplete_Onatfloor @t227) (tptp.hAPP (tptp.hAPP @t102 @t945) @t29))))) % 1.32/1.58 (assume @p921 (forall @t528 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t961) @t527))) % 1.32/1.58 (assume @p922 (forall @t529 (= @t482 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t961 @t7) @t960)))) % 1.32/1.58 (assume @p923 (forall @t529 (= @t968 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t961 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t960 @t7))))) % 1.32/1.58 (assume @p924 (forall @t617 (=> @t974 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t112 @t946) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t973 @t100))))) % 1.32/1.58 (assume @p925 (forall @t764 (=> @t281 (or @t681 @t965 (tptp.c_Polynomial_Opos__poly @t31 @t770))))) % 1.32/1.58 (assume @p926 (forall @t617 (=> @t974 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t935 @t112) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t100 @t973))))) % 1.32/1.58 (assume @p927 (forall @t293 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t970 @t7)))) % 1.32/1.58 (assume @p928 (forall @t977 (=> @t976 (= (tptp.c_RComplete_Onatfloor @t975) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t945 @t30))))) % 1.32/1.58 (assume @p929 (forall @t293 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t53 @t7) @t970))) % 1.32/1.58 (assume @p930 (forall @t977 (=> @t976 (= (tptp.c_RComplete_Onatceiling @t975) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t932 @t30))))) % 1.32/1.58 (assume @p931 (forall @t228 (=> @t265 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t956) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t945 @t29))))) % 1.32/1.58 (assume @p932 (forall @t971 (=> @t265 (= (tptp.c_RComplete_Onatfloor @t978) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t945 @t30))))) % 1.32/1.58 (assume @p933 (forall (@list @t29 @t205) (=> (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 @t205) @t73) @t29) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t205 @t956)))) % 1.32/1.58 (assume @p934 (forall @t958 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t956 @t53) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t53 @t957) (= @t945 @t29))))) % 1.32/1.58 (assume @p935 (forall @t971 (=> @t265 (= (tptp.c_RComplete_Onatceiling @t978) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t932 @t30))))) % 1.32/1.58 (assume @p936 (forall @t230 (=> @t281 (= (tptp.c_Orderings_Oord__class_Oless @t460 @t100 @t198) @t969)))) % 1.32/1.58 (assume @p937 (forall @t228 (=> @t265 (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 @t62 @t956) @t53) @t7) (tptp.hAPP (tptp.hAPP @t24 @t933) @t29))))) % 1.32/1.58 (assume @p938 (forall @t270 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t51) (exists @t274 (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 @t271 @t73)) @t51) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t51 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t271))))))) % 1.32/1.58 (assume @p939 (forall @t97 (=> @t660 (= (tptp.c_Groups_Ominus__class_Ominus @t31 @t160 @t163) @t726)))) % 1.32/1.58 (assume @p940 (forall (@list @t939 @t31) (=> @t906 (= (tptp.c_SEQ_Odecseq @t31 @t939) (forall (@list @t245 @t271) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t245 @t271) (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t941 (tptp.hAPP @t939 @t245)))))))) % 1.32/1.58 (assume @p941 (forall (@list @t421 @t205 @t321) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t321) (exists @t598 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t595) (forall @t244 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10 @t980) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t980 @t595)) (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 @t979 @t243) (tptp.hAPP @t979 @t205))) @t321)))))))) % 1.32/1.58 (assume @p942 (forall @t91 (=> @t981 (=> @t902 (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t824 @t158))))) % 1.32/1.58 (assume @p943 (forall @t230 (=> @t981 (= (tptp.c_Orderings_Oord__class_Oless__eq @t31 @t591 @t982) @t904)))) % 1.32/1.58 (assume @p944 (forall @t230 (=> @t981 (= (= @t591 @t982) @t229)))) % 1.32/1.58 (assume @p945 (forall (@list @t100 @t983 @t196 @t31) (=> (tptp.class_Groups_Ouminus @t31) (= (tptp.hAPP (tptp.c_Groups_Ouminus__class_Ouminus @t985 @t983) @t100) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t984))))) % 1.32/1.58 (assume @p946 (forall @t81 (=> @t981 (= (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t158) @t53)))) % 1.32/1.58 (assume @p947 (forall (@list @t100 @t986 @t983 @t196 @t31) (=> (tptp.class_Groups_Ominus @t31) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus @t985 @t983 @t986) @t100) (tptp.c_Groups_Ominus__class_Ominus @t31 @t984 (tptp.hAPP @t986 @t100)))))) % 1.32/1.58 (assume @p948 (forall @t173 (=> @t987 (= @t282 @t30)))) % 1.32/1.58 (assume @p949 (forall @t81 (=> @t987 (= @t620 @t53)))) % 1.32/1.58 (assume @p950 (forall @t97 (=> @t987 (= (tptp.hAPP @t36 @t148) @t148)))) % 1.32/1.58 (assume @p951 (forall @t48 (=> @t84 (exists @t829 @t827)))) % 1.32/1.58 (assume @p952 (forall @t81 (=> @t281 (and (=> @t990 (= @t988 @t461)) (=> (not @t990) (and (=> @t989 (= @t988 @t782)) (=> (not @t989) (= @t988 (tptp.c_Groups_Ouminus__class_Ouminus @t460 @t782))))))))) % 1.32/1.58 (assume @p953 (forall @t385 (=> @t281 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t991 @t82) @t384)))) % 1.32/1.58 (assume @p954 (forall @t385 (=> @t281 (= (tptp.c_Orderings_Oord__class_Oless @t31 @t82 @t991) @t665)))) % 1.32/1.58 (assume @p955 (forall @t81 (=> @t281 (= (tptp.hAPP @t993 (tptp.c_Groups_Oabs__class_Oabs @t31 @t53)) @t53)))) % 1.32/1.58 (assume @p956 (forall (@list @t431 @t31) (=> @t281 (= (tptp.c_Groups_Oabs__class_Oabs @t31 @t431) (tptp.hAPP (tptp.hAPP @t35 @t431) (tptp.c_Groups_Osgn__class_Osgn @t31 @t431)))))) % 1.32/1.58 (assume @p957 (forall @t91 (=> @t233 (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t64) (tptp.hAPP @t993 (tptp.c_Groups_Osgn__class_Osgn @t31 @t52)))))) % 1.32/1.58 (assume @p958 (forall @t97 (=> @t281 (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t148) (tptp.hAPP (tptp.hAPP @t35 @t994) (tptp.c_Groups_Osgn__class_Osgn @t31 @t92)))))) % 1.32/1.58 (assume @p959 (forall @t48 (=> @t996 @t995))) % 1.32/1.58 (assume @p960 (forall @t385 (=> @t281 (= (= @t991 @t82) @t113)))) % 1.32/1.58 (assume @p961 (forall @t107 (=> @t60 (= (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t100) @t82) @t108)))) % 1.32/1.58 (assume @p962 (forall @t48 (=> @t60 @t995))) % 1.32/1.58 (assume @p963 (forall @t302 (=> @t49 (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t301) (tptp.c_RealVector_Oof__real @t31 (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t51)))))) % 1.32/1.58 (assume @p964 (forall @t173 (=> @t281 (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t994) @t994)))) % 1.32/1.58 (assume @p965 (forall @t81 (=> @t60 (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t158) (tptp.c_Groups_Ouminus__class_Ouminus @t31 @t992))))) % 1.32/1.58 (assume @p966 (forall @t48 (=> @t49 (= (tptp.c_Groups_Osgn__class_Osgn @t31 @t38) @t38)))) % 1.32/1.58 (assume @p967 (forall @t385 (=> @t281 (= (= @t991 @t38) @t665)))) % 1.32/1.58 (assume @p968 (forall @t173 (=> @t281 (=> @t216 (= @t994 @t38))))) % 1.32/1.58 (assume @p969 (forall @t81 (=> @t996 (and (=> @t256 (= @t992 @t82)) (=> @t998 (and (=> @t997 (= @t992 @t38)) (=> (not @t997) (= @t992 @t222)))))))) % 1.32/1.58 (assume @p970 (forall @t385 (=> @t281 (= (= @t991 @t222) @t384)))) % 1.32/1.58 (assume @p971 (forall @t173 (=> @t281 (=> @t372 (= @t994 @t222))))) % 1.32/1.58 (assume @p972 (forall @t81 (=> @t60 (and (=> @t256 (= @t999 @t10)) (=> @t998 (= @t999 @t7)))))) % 1.32/1.58 (assume @p973 (forall @t772 (=> @t327 (tptp.c_Rings_Odvd__class_Odvd @t460 (tptp.hAPP (tptp.hAPP @t785 (tptp.c_Polynomial_OpCons @t31 @t160 @t791)) (tptp.c_Polynomial_Oorder @t31 @t30 @t421)) @t421)))) % 1.32/1.58 (assume @p974 (forall (@list @t1000 @t421 @t30 @t31) (=> @t684 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t31 @t682 @t1000) (tptp.c_Groups_Oplus__class_Oplus @t460 (tptp.c_Polynomial_Osmult @t31 @t1000 @t1001) (tptp.c_Polynomial_OpCons @t31 @t30 @t1001)))))) % 1.32/1.58 (assume @p975 (forall @t173 (=> @t757 (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t82)))) % 1.32/1.58 (assume @p976 (forall @t230 (=> @t779 (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t100 @t982) @t1002)))) % 1.32/1.58 (assume @p977 (forall @t230 (=> @t779 (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t591 @t198) @t1002)))) % 1.32/1.58 (assume @p978 (forall @t821 (=> @t779 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t53 @t52) (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t53 @t205) (tptp.c_Rings_Odvd__class_Odvd @t31 @t53 (tptp.c_Groups_Ominus__class_Ominus @t31 @t52 @t205))))))) % 1.32/1.58 (assume @p979 (forall (@list @t1003 @t1004 @t387 @t31) (=> (and @t771 @t1005) (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t387 @t1004) (forall (@list @t3 @t576) (= (tptp.c_Rings_Odvd__class_Odvd @t31 @t387 (tptp.c_Groups_Oplus__class_Oplus @t31 @t3 @t1003)) (tptp.c_Rings_Odvd__class_Odvd @t31 @t387 (tptp.c_Groups_Oplus__class_Oplus @t31 (tptp.c_Groups_Ominus__class_Ominus @t31 @t3 (tptp.hAPP (tptp.hAPP @t35 @t576) @t1004)) @t1003)))))))) % 1.32/1.58 (assume @p980 (forall (@list @t273 @t480 @t31) (=> (and @t1005 @t191) (= (exists @t6 (tptp.hBOOL (tptp.hAPP @t480 (tptp.hAPP (tptp.hAPP @t35 @t273) @t3)))) (exists @t6 (and (tptp.c_Rings_Odvd__class_Odvd @t31 @t273 (tptp.c_Groups_Oplus__class_Oplus @t31 @t3 @t82)) (tptp.hBOOL (tptp.hAPP @t480 @t3)))))))) % 1.32/1.58 (assume @p981 (forall @t320 (=> @t757 (=> @t1007 (=> @t1006 (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t686)))))) % 1.32/1.58 (assume @p982 (forall @t173 (=> @t757 (tptp.c_Rings_Odvd__class_Odvd @t31 @t38 @t30)))) % 1.32/1.58 (assume @p983 (forall (@list @t1008 @t462 @t31) (=> @t684 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t31 @t462 @t1008) @t461) @t463)))) % 1.32/1.58 (assume @p984 (forall (@list @t1000 @t31) (=> @t684 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t31 @t461 @t1000) @t461)))) % 1.32/1.58 (assume @p985 (forall @t320 (=> @t757 (=> @t1007 (=> (tptp.c_Rings_Odvd__class_Odvd @t31 @t92 @t181) @t1006))))) % 1.32/1.58 (assume @p986 (forall @t173 (=> @t757 (tptp.c_Rings_Odvd__class_Odvd @t31 @t30 @t30)))) % 1.32/1.58 (assume @p987 (forall (@list @t30 @t749 @t421 @t31) (=> @t757 (=> @t1009 (tptp.c_Rings_Odvd__class_Odvd @t460 @t421 @t775))))) % 1.32/1.58 (assume @p988 (forall @t777 (=> @t757 (=> (tptp.c_Rings_Odvd__class_Odvd @t460 @t768 @t749) @t1009)))) % 1.32/1.58 (assume @p989 (forall @t1013 (=> @t1012 (tptp.class_Groups_Ocancel__comm__monoid__add @t1011)))) % 1.32/1.58 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p991 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p992 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p993 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p994 (forall @t1016 (=> (tptp.class_Lattices_Oboolean__algebra @t1010) (tptp.class_Lattices_Oboolean__algebra @t1015)))) % 1.32/1.58 (assume @p995 (forall @t1016 (=> (tptp.class_Orderings_Opreorder @t1010) (tptp.class_Orderings_Opreorder @t1015)))) % 1.32/1.58 (assume @p996 (forall @t1016 (=> (tptp.class_Orderings_Oorder @t1010) (tptp.class_Orderings_Oorder @t1015)))) % 1.32/1.58 (assume @p997 (forall @t1016 (=> (tptp.class_Orderings_Oord @t1010) (tptp.class_Orderings_Oord @t1015)))) % 1.32/1.58 (assume @p998 (forall @t1016 (=> (tptp.class_Groups_Ouminus @t1010) (tptp.class_Groups_Ouminus @t1015)))) % 1.32/1.58 (assume @p999 (forall @t1016 (=> (tptp.class_Groups_Ominus @t1010) (tptp.class_Groups_Ominus @t1015)))) % 1.32/1.58 (assume @p1000 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1001 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1002 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1003 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1004 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1005 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1006 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1007 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1008 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1009 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1010 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1011 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1012 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1013 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1014 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1015 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1016 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1017 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1018 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1019 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1020 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1021 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1022 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1023 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1024 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1025 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1026 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1027 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1028 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1029 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1030 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1031 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1032 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1033 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1034 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1035 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1036 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1037 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1038 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1039 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1040 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1041 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1042 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1043 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1044 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1045 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1046 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1047 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1048 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1049 (tptp.class_Groups_Ouminus tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1050 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1051 (tptp.class_Groups_Oabs__if tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1052 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1053 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1054 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1055 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1056 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1057 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1058 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1059 (tptp.class_Rings_Odvd tptp.tc_Int_Oint)) % 1.32/1.58 (assume @p1060 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1061 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1062 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1063 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1064 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1065 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1066 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1067 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1068 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1069 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1070 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1071 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1072 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1073 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1074 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1075 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1076 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1077 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1078 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1079 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1080 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1081 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1082 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1083 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1084 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1085 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1086 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1087 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1088 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1089 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1090 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1091 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1092 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1093 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1094 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1095 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1096 (tptp.class_Rings_Odvd tptp.tc_Nat_Onat)) % 1.32/1.58 (assume @p1097 (tptp.class_Lattices_Oboolean__algebra tptp.tc_HOL_Obool)) % 1.32/1.58 (assume @p1098 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.32/1.58 (assume @p1099 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.32/1.58 (assume @p1100 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.32/1.58 (assume @p1101 (tptp.class_Groups_Ouminus tptp.tc_HOL_Obool)) % 1.32/1.58 (assume @p1102 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.32/1.58 (assume @p1103 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1104 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1105 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1106 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1107 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1108 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1109 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1110 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1111 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1112 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1113 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1114 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1115 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1116 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1117 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1118 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1119 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1120 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1121 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1122 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1123 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1124 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1125 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1126 (tptp.class_RealVector_Oreal__div__algebra tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1127 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1128 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1129 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1130 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1131 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1132 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1133 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1134 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1135 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1136 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1137 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1138 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1139 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1140 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1141 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1142 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1143 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1144 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1145 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1146 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1147 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1148 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1149 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1150 @t1017) % 1.32/1.58 (assume @p1151 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1152 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1153 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1154 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1155 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1156 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1157 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1158 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1159 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1160 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1161 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1162 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1163 (tptp.class_Groups_Ouminus tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1164 (tptp.class_Groups_Osgn__if tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1165 (tptp.class_Groups_Oabs__if tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1166 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1167 (tptp.class_Groups_Ominus tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1168 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1169 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1170 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1171 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1172 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1173 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1174 (tptp.class_Rings_Odvd tptp.tc_RealDef_Oreal)) % 1.32/1.58 (assume @p1175 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1176 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1177 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1178 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1179 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1180 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1181 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1182 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1183 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1184 (tptp.class_RealVector_Oreal__div__algebra tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1185 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1186 (tptp.class_RealVector_Oreal__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1187 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1188 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1189 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1190 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1191 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1192 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1193 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1194 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1195 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1196 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1197 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1198 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1199 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1200 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1201 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1202 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1203 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1204 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1205 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1206 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1207 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1208 (tptp.class_Groups_Ouminus tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1209 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1210 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1211 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1212 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1213 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1214 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1215 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1216 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1217 (tptp.class_Rings_Odvd tptp.tc_Complex_Ocomplex)) % 1.32/1.58 (assume @p1218 (forall @t1013 (=> @t1018 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1011)))) % 1.32/1.58 (assume @p1219 (forall @t1013 (=> @t1019 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1011)))) % 1.32/1.58 (assume @p1220 (forall @t1013 (=> @t1019 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1011)))) % 1.32/1.58 (assume @p1221 (forall @t1013 (=> @t1019 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1011)))) % 1.32/1.58 (assume @p1222 (forall @t1013 (=> @t1019 (tptp.class_Rings_Olinordered__semiring__1__strict @t1011)))) % 1.32/1.58 (assume @p1223 (forall @t1013 (=> @t1019 (tptp.class_Rings_Olinordered__semiring__strict @t1011)))) % 1.32/1.58 (assume @p1224 (forall @t1013 (=> @t1019 (tptp.class_Groups_Oordered__ab__semigroup__add @t1011)))) % 1.32/1.58 (assume @p1225 (forall @t1013 (=> @t1019 (tptp.class_Groups_Oordered__ab__group__add__abs @t1011)))) % 1.32/1.58 (assume @p1226 (forall @t1013 (=> @t1019 (tptp.class_Groups_Oordered__comm__monoid__add @t1011)))) % 1.32/1.58 (assume @p1227 (forall @t1013 (=> @t1019 (tptp.class_Groups_Olinordered__ab__group__add @t1011)))) % 1.32/1.58 (assume @p1228 (forall @t1013 (=> @t1012 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1011)))) % 1.32/1.58 (assume @p1229 (forall @t1013 (=> @t1018 (tptp.class_Rings_Oring__1__no__zero__divisors @t1011)))) % 1.32/1.58 (assume @p1230 (forall @t1013 (=> @t1019 (tptp.class_Rings_Oordered__cancel__semiring @t1011)))) % 1.32/1.58 (assume @p1231 (forall @t1013 (=> @t1019 (tptp.class_Rings_Olinordered__ring__strict @t1011)))) % 1.32/1.58 (assume @p1232 (forall @t1013 (=> @t1018 (tptp.class_Rings_Oring__no__zero__divisors @t1011)))) % 1.32/1.58 (assume @p1233 (forall @t1013 (=> @t1019 (tptp.class_Rings_Oordered__comm__semiring @t1011)))) % 1.32/1.58 (assume @p1234 (forall @t1013 (=> @t1019 (tptp.class_Rings_Olinordered__semiring__1 @t1011)))) % 1.32/1.58 (assume @p1235 (forall @t1013 (=> @t1019 (tptp.class_Groups_Oordered__ab__group__add @t1011)))) % 1.32/1.58 (assume @p1236 (forall @t1013 (=> @t1012 (tptp.class_Groups_Ocancel__semigroup__add @t1011)))) % 1.32/1.58 (assume @p1237 (forall @t1013 (=> @t1019 (tptp.class_Rings_Olinordered__semiring @t1011)))) % 1.32/1.58 (assume @p1238 (forall @t1013 (=> @t1019 (tptp.class_Rings_Olinordered__semidom @t1011)))) % 1.32/1.58 (assume @p1239 (forall @t1013 (=> @t1020 (tptp.class_Groups_Oab__semigroup__mult @t1011)))) % 1.32/1.58 (assume @p1240 (forall @t1013 (=> @t1021 (tptp.class_Groups_Ocomm__monoid__mult @t1011)))) % 1.32/1.58 (assume @p1241 (forall @t1013 (=> @t1022 (tptp.class_Groups_Oab__semigroup__add @t1011)))) % 1.32/1.58 (assume @p1242 (forall @t1013 (=> @t1019 (tptp.class_Rings_Oordered__semiring @t1011)))) % 1.32/1.58 (assume @p1243 (forall @t1013 (=> @t1019 (tptp.class_Rings_Oordered__ring__abs @t1011)))) % 1.32/1.58 (assume @p1244 (forall @t1013 (=> @t1018 (tptp.class_Rings_Ono__zero__divisors @t1011)))) % 1.32/1.58 (assume @p1245 (forall @t1013 (=> @t1022 (tptp.class_Groups_Ocomm__monoid__add @t1011)))) % 1.32/1.58 (assume @p1246 (forall @t1013 (=> @t1019 (tptp.class_Rings_Olinordered__ring @t1011)))) % 1.32/1.58 (assume @p1247 (forall @t1013 (=> @t1019 (tptp.class_Rings_Olinordered__idom @t1011)))) % 1.32/1.58 (assume @p1248 (forall @t1013 (=> @t1021 (tptp.class_Rings_Ocomm__semiring__1 @t1011)))) % 1.32/1.58 (assume @p1249 (forall @t1013 (=> @t1020 (tptp.class_Rings_Ocomm__semiring__0 @t1011)))) % 1.32/1.58 (assume @p1250 (forall @t1013 (=> @t1020 (tptp.class_Rings_Ocomm__semiring @t1011)))) % 1.32/1.58 (assume @p1251 (forall @t1013 (=> @t1023 (tptp.class_Groups_Oab__group__add @t1011)))) % 1.32/1.58 (assume @p1252 (forall @t1013 (=> @t1021 (tptp.class_Rings_Ozero__neq__one @t1011)))) % 1.32/1.58 (assume @p1253 (forall @t1013 (=> @t1019 (tptp.class_Rings_Oordered__ring @t1011)))) % 1.32/1.58 (assume @p1254 (forall @t1013 (=> @t1019 (tptp.class_Orderings_Opreorder @t1011)))) % 1.32/1.58 (assume @p1255 (forall @t1013 (=> @t1019 (tptp.class_Orderings_Olinorder @t1011)))) % 1.32/1.58 (assume @p1256 (forall @t1013 (=> @t1021 (tptp.class_Groups_Omonoid__mult @t1011)))) % 1.32/1.58 (assume @p1257 (forall @t1013 (=> @t1024 (tptp.class_Rings_Ocomm__ring__1 @t1011)))) % 1.32/1.58 (assume @p1258 (forall @t1013 (=> @t1022 (tptp.class_Groups_Omonoid__add @t1011)))) % 1.32/1.58 (assume @p1259 (forall @t1013 (=> @t1020 (tptp.class_Rings_Osemiring__0 @t1011)))) % 1.32/1.58 (assume @p1260 (forall @t1013 (=> @t1023 (tptp.class_Groups_Ogroup__add @t1011)))) % 1.32/1.58 (assume @p1261 (forall @t1013 (=> @t1020 (tptp.class_Rings_Omult__zero @t1011)))) % 1.32/1.58 (assume @p1262 (forall @t1013 (=> @t1025 (tptp.class_Rings_Ocomm__ring @t1011)))) % 1.32/1.58 (assume @p1263 (forall @t1013 (=> @t1019 (tptp.class_Orderings_Oorder @t1011)))) % 1.32/1.58 (assume @p1264 (forall @t1013 (=> @t1019 (tptp.class_Int_Oring__char__0 @t1011)))) % 1.32/1.58 (assume @p1265 (forall @t1013 (=> @t1020 (tptp.class_Rings_Osemiring @t1011)))) % 1.32/1.58 (assume @p1266 (forall @t1013 (=> @t1019 (tptp.class_Orderings_Oord @t1011)))) % 1.32/1.58 (assume @p1267 (forall @t1013 (=> @t1023 (tptp.class_Groups_Ouminus @t1011)))) % 1.32/1.58 (assume @p1268 (forall @t1013 (=> @t1019 (tptp.class_Groups_Osgn__if @t1011)))) % 1.32/1.58 (assume @p1269 (forall @t1013 (=> @t1019 (tptp.class_Groups_Oabs__if @t1011)))) % 1.32/1.58 (assume @p1270 (forall @t1013 (=> @t1024 (tptp.class_Rings_Oring__1 @t1011)))) % 1.32/1.58 (assume @p1271 (forall @t1013 (=> @t1023 (tptp.class_Groups_Ominus @t1011)))) % 1.32/1.58 (assume @p1272 (forall @t1013 (=> @t1021 (tptp.class_Power_Opower @t1011)))) % 1.32/1.58 (assume @p1273 (forall @t1013 (=> (tptp.class_Groups_Ozero @t1010) (tptp.class_Groups_Ozero @t1011)))) % 1.32/1.58 (assume @p1274 (forall @t1013 (=> @t1025 (tptp.class_Rings_Oring @t1011)))) % 1.32/1.58 (assume @p1275 (forall @t1013 (=> @t1018 (tptp.class_Rings_Oidom @t1011)))) % 1.32/1.58 (assume @p1276 (forall @t1013 (=> @t1021 (tptp.class_Groups_Oone @t1011)))) % 1.32/1.58 (assume @p1277 (forall @t1013 (=> @t1021 (tptp.class_Rings_Odvd @t1011)))) % 1.32/1.58 (assume @p1278 (not @t1026)) % 1.32/1.58 (assume @p1279 true) % 1.32/1.58 (step @p1280 :rule aci_norm :args ((= (or @t1028 @t1030) @t1029))) % 1.32/1.58 (step @p1281 :rule aci_norm :args ((= (or @t916 (or @t1027 @t919)) @t1030))) % 1.32/1.58 (step @p1282 :rule bool-impl-elim :args (@t920 @t919)) % 1.32/1.58 (step @p1283 :rule refl :args (@t916)) % 1.32/1.58 (step @p1284 :rule nary_cong :premises (@p1283 @p1282) :args ((or @t916 @t921))) % 1.32/1.58 (step @p1285 :rule trans :premises (@p1284 @p1281)) % 1.32/1.58 (step @p1286 :rule bool-impl-elim :args (@t902 @t921)) % 1.32/1.58 (step @p1287 :rule trans :premises (@p1286 @p1285)) % 1.32/1.58 (step @p1288 :rule refl :args (@t1028)) % 1.32/1.58 (step @p1289 :rule nary_cong :premises (@p1288 @p1287) :args ((or @t1028 @t928))) % 1.32/1.58 (step @p1290 :rule trans :premises (@p1289 @p1280)) % 1.32/1.58 (step @p1291 :rule bool-impl-elim :args (@t896 @t928)) % 1.32/1.58 (step @p1292 :rule trans :premises (@p1291 @p1290)) % 1.32/1.58 (step @p1293 :rule cong :premises (@p1292) :args (@t929)) % 1.32/1.58 (step @p1294 :rule eq_resolve :premises (@p840 @p1293)) % 1.32/1.58 (step @p1295 :rule cnf_or_pos :args (@t1034)) % 1.32/1.58 (step @p1296 :rule reordering :premises (@p1295) :args ((or @t1026 @t1031 @t1032 @t1033 @t1035))) % 1.32/1.58 (step @p1297 :rule chain_m_resolution :premises (@p1296 @p1278 @p30 @p32 @p1150) :args (@t1035 (@list true false false false) (@list @t1026 @t79 @t80 @t1017))) % 1.32/1.58 (assume-push @p1304 @t1036) % 1.32/1.58 (step @p1299 :rule instantiate :premises (@p1294) :args ((@list @t7 @t78 @t46 tptp.tc_RealDef_Oreal))) % 1.32/1.58 (step-pop @p1305 :rule scope :premises (@p1299)) % 1.32/1.58 (step @p1300 :rule process_scope :premises (@p1305) :args (@t1034)) % 1.32/1.58 (step @p1302 :rule implies_elim :premises (@p1300)) % 1.32/1.58 (step @p1303 false :rule chain_m_resolution :premises (@p1302 @p1297 @p1294) :args (false (@list true false) (@list @t1034 @t1036))) % 1.32/1.58 ) % 1.32/1.58 % SZS output end Proof % 1.32/1.58 % cvc5 exiting %------------------------------------------------------------------------------