%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW236+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n012.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 09:04:34 AM UTC 2026 % Result : Theorem 0.34s 0.99s % Output : Proof 0.34s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.06 % Problem : SWW236+1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.06/0.25 % Computer : n012.cluster.edu % 0.06/0.25 % Model : x86_64 x86_64 % 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.06/0.25 % Memory : 8042.1875MB % 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64 % 0.06/0.25 % CPULimit : 300 % 0.06/0.25 % WCLimit : 300 % 0.06/0.25 % DateTime : Tue Jun 2 21:41:33 EDT 2026 % 0.06/0.25 % CPUTime : % 0.24/0.51 %----Proving TF0_NAR, FOF, or CNF % 0.34/0.99 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.34/0.99 % SZS status Theorem % 0.34/0.99 % SZS output start Proof % 0.34/0.99 ( % 0.34/0.99 (declare-sort $$unsorted 0) % 0.34/0.99 (declare-const tptp.c_Divides_Odiv__class_Omod (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.c_Complex_Oii $$unsorted) % 0.34/0.99 (declare-const tptp.c_Transcendental_Oarctan (-> $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.tc_HOL_Obool $$unsorted) % 0.34/0.99 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_NthRoot_Oroot (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.c_If (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.c_Polynomial_Opos__poly (-> $$unsorted $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.v_aa____ $$unsorted) % 0.34/0.99 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.34/0.99 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.v_p $$unsorted) % 0.34/0.99 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.tc_Int_Oint $$unsorted) % 0.34/0.99 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.v_z____ $$unsorted) % 0.34/0.99 (declare-const tptp.v_cs____ $$unsorted) % 0.34/0.99 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.v_c____ $$unsorted) % 0.34/0.99 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.v_da____ $$unsorted) % 0.34/0.99 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.tc_Nat_Onat $$unsorted) % 0.34/0.99 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.34/0.99 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.34/0.99 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.34/0.99 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 0.34/0.99 (define @t1 () (@var "V_g_2" $$unsorted)) % 0.34/0.99 (define @t2 () (@var "V_f_2" $$unsorted)) % 0.34/0.99 (define @t3 () (@var "B_x" $$unsorted)) % 0.34/0.99 (define @t4 () (tptp.hAPP @t1 @t3)) % 0.34/0.99 (define @t5 () (tptp.hAPP @t2 @t3)) % 0.34/0.99 (define @t6 () (@list @t3)) % 0.34/0.99 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (define @t8 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_z____)) % 0.34/0.99 (define @t9 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_c____)) % 0.34/0.99 (define @t10 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal tptp.v_da____) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex tptp.v_aa____))) % 0.34/0.99 (define @t11 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t10 @t9) @t8)) % 0.34/0.99 (define @t12 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly tptp.tc_Complex_Ocomplex))) % 0.34/0.99 (define @t13 () (@var "V_y" $$unsorted)) % 0.34/0.99 (define @t14 () (@var "T_a" $$unsorted)) % 0.34/0.99 (define @t15 () (tptp.c_RealVector_Onorm__class_Onorm @t14 @t13)) % 0.34/0.99 (define @t16 () (@var "V_x" $$unsorted)) % 0.34/0.99 (define @t17 () (tptp.c_RealVector_Onorm__class_Onorm @t14 @t16)) % 0.34/0.99 (define @t18 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t16 @t13)) % 0.34/0.99 (define @t19 () (tptp.c_RealVector_Onorm__class_Onorm @t14 @t18)) % 0.34/0.99 (define @t20 () (tptp.class_RealVector_Oreal__normed__vector @t14)) % 0.34/0.99 (define @t21 () (@list @t13 @t16 @t14)) % 0.34/0.99 (define @t22 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 0.34/0.99 (define @t23 () (tptp.hAPP (tptp.hAPP @t22 @t17) @t15)) % 0.34/0.99 (define @t24 () (tptp.c_Groups_Otimes__class_Otimes @t14)) % 0.34/0.99 (define @t25 () (tptp.hAPP @t24 @t16)) % 0.34/0.99 (define @t26 () (tptp.hAPP @t25 @t13)) % 0.34/0.99 (define @t27 () (tptp.c_RealVector_Onorm__class_Onorm @t14 @t26)) % 0.34/0.99 (define @t28 () (tptp.class_RealVector_Oreal__normed__algebra @t14)) % 0.34/0.99 (define @t29 () (@var "V_b" $$unsorted)) % 0.34/0.99 (define @t30 () (tptp.c_Groups_Oabs__class_Oabs @t14 @t29)) % 0.34/0.99 (define @t31 () (@var "V_a" $$unsorted)) % 0.34/0.99 (define @t32 () (tptp.c_Groups_Oabs__class_Oabs @t14 @t31)) % 0.34/0.99 (define @t33 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t32 @t30)) % 0.34/0.99 (define @t34 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t31 @t29)) % 0.34/0.99 (define @t35 () (tptp.class_Groups_Oordered__ab__group__add__abs @t14)) % 0.34/0.99 (define @t36 () (@list @t29 @t31 @t14)) % 0.34/0.99 (define @t37 () (tptp.class_Orderings_Opreorder @t14)) % 0.34/0.99 (define @t38 () (@list @t16 @t14)) % 0.34/0.99 (define @t39 () (tptp.c_RealVector_Onorm__class_Onorm @t14 @t31)) % 0.34/0.99 (define @t40 () (@list @t31 @t14)) % 0.34/0.99 (define @t41 () (@var "V_z" $$unsorted)) % 0.34/0.99 (define @t42 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 @t13)) % 0.34/0.99 (define @t43 () (@list @t41 @t13 @t16)) % 0.34/0.99 (define @t44 () (tptp.hAPP @t24 @t32)) % 0.34/0.99 (define @t45 () (tptp.hAPP @t44 @t30)) % 0.34/0.99 (define @t46 () (tptp.hAPP @t24 @t31)) % 0.34/0.99 (define @t47 () (tptp.hAPP @t46 @t29)) % 0.34/0.99 (define @t48 () (= (tptp.c_Groups_Oabs__class_Oabs @t14 @t47) @t45)) % 0.34/0.99 (define @t49 () (tptp.class_Rings_Olinordered__idom @t14)) % 0.34/0.99 (define @t50 () (tptp.hAPP @t46 @t31)) % 0.34/0.99 (define @t51 () (= @t27 @t23)) % 0.34/0.99 (define @t52 () (tptp.class_RealVector_Oreal__normed__div__algebra @t14)) % 0.34/0.99 (define @t53 () (forall @t21 (=> @t52 @t51))) % 0.34/0.99 (define @t54 () (= tptp.v_cs____ @t12)) % 0.34/0.99 (define @t55 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 0.34/0.99 (define @t56 () (tptp.c_Groups_Ozero__class_Ozero @t14)) % 0.34/0.99 (define @t57 () (@list @t14)) % 0.34/0.99 (define @t58 () (tptp.c_RealVector_Onorm__class_Onorm @t14 @t29)) % 0.34/0.99 (define @t59 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t31 @t29)) % 0.34/0.99 (define @t60 () (= (tptp.c_RealVector_Onorm__class_Onorm @t14 @t59) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t39 @t58))) % 0.34/0.99 (define @t61 () (tptp.class_RealVector_Oreal__normed__field @t14)) % 0.34/0.99 (define @t62 () (tptp.class_Fields_Ofield__inverse__zero @t14)) % 0.34/0.99 (define @t63 () (tptp.class_Rings_Odivision__ring @t14)) % 0.34/0.99 (define @t64 () (@list @t13 @t14)) % 0.34/0.99 (define @t65 () (@var "V_x_2" $$unsorted)) % 0.34/0.99 (define @t66 () (= @t65 @t56)) % 0.34/0.99 (define @t67 () (tptp.class_Groups_Ozero @t14)) % 0.34/0.99 (define @t68 () (@list @t65 @t14)) % 0.34/0.99 (define @t69 () (tptp.class_Rings_Odivision__ring__inverse__zero @t14)) % 0.34/0.99 (define @t70 () (@var "V_w" $$unsorted)) % 0.34/0.99 (define @t71 () (tptp.hAPP @t22 @t41)) % 0.34/0.99 (define @t72 () (@list @t70 @t41)) % 0.34/0.99 (define @t73 () (tptp.c_RealVector_Onorm__class_Onorm @t14 @t65)) % 0.34/0.99 (define @t74 () (@var "V_z3" $$unsorted)) % 0.34/0.99 (define @t75 () (@var "V_z2" $$unsorted)) % 0.34/0.99 (define @t76 () (tptp.hAPP @t22 @t75)) % 0.34/0.99 (define @t77 () (@var "V_z1" $$unsorted)) % 0.34/0.99 (define @t78 () (tptp.hAPP @t22 @t77)) % 0.34/0.99 (define @t79 () (@list @t74 @t75 @t77)) % 0.34/0.99 (define @t80 () (= @t29 @t56)) % 0.34/0.99 (define @t81 () (not @t80)) % 0.34/0.99 (define @t82 () (@list @t31 @t29 @t14)) % 0.34/0.99 (define @t83 () (@var "V_b_2" $$unsorted)) % 0.34/0.99 (define @t84 () (@var "V_ca_2" $$unsorted)) % 0.34/0.99 (define @t85 () (@var "V_ab_2" $$unsorted)) % 0.34/0.99 (define @t86 () (tptp.hAPP @t24 @t85)) % 0.34/0.99 (define @t87 () (tptp.hAPP @t86 @t84)) % 0.34/0.99 (define @t88 () (= @t87 @t83)) % 0.34/0.99 (define @t89 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t83 @t84)) % 0.34/0.99 (define @t90 () (= @t85 @t89)) % 0.34/0.99 (define @t91 () (= @t84 @t56)) % 0.34/0.99 (define @t92 () (not @t91)) % 0.34/0.99 (define @t93 () (@list @t83 @t85 @t84 @t14)) % 0.34/0.99 (define @t94 () (= @t83 @t87)) % 0.34/0.99 (define @t95 () (= @t89 @t85)) % 0.34/0.99 (define @t96 () (@list @t85 @t83 @t84 @t14)) % 0.34/0.99 (define @t97 () (@var "V_c" $$unsorted)) % 0.34/0.99 (define @t98 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t29 @t97)) % 0.34/0.99 (define @t99 () (tptp.hAPP @t46 @t97)) % 0.34/0.99 (define @t100 () (= @t97 @t56)) % 0.34/0.99 (define @t101 () (not @t100)) % 0.34/0.99 (define @t102 () (@list @t31 @t29 @t97 @t14)) % 0.34/0.99 (define @t103 () (@list @t29 @t31 @t97 @t14)) % 0.34/0.99 (define @t104 () (@list @t97 @t29 @t31 @t14)) % 0.34/0.99 (define @t105 () (@var "V_ya" $$unsorted)) % 0.34/0.99 (define @t106 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t13 @t105)) % 0.34/0.99 (define @t107 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t16 @t105)) % 0.34/0.99 (define @t108 () (@list @t105 @t13 @t16 @t14)) % 0.34/0.99 (define @t109 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t31 @t97)) % 0.34/0.99 (define @t110 () (= @t31 @t56)) % 0.34/0.99 (define @t111 () (= @t47 @t56)) % 0.34/0.99 (define @t112 () (tptp.class_Rings_Ono__zero__divisors @t14)) % 0.34/0.99 (define @t113 () (not @t110)) % 0.34/0.99 (define @t114 () (= @t83 @t56)) % 0.34/0.99 (define @t115 () (= @t85 @t56)) % 0.34/0.99 (define @t116 () (tptp.hAPP @t86 @t83)) % 0.34/0.99 (define @t117 () (@list @t83 @t85 @t14)) % 0.34/0.99 (define @t118 () (= (tptp.hAPP @t46 @t56) @t56)) % 0.34/0.99 (define @t119 () (tptp.class_Rings_Omult__zero @t14)) % 0.34/0.99 (define @t120 () (tptp.hAPP @t24 @t56)) % 0.34/0.99 (define @t121 () (= (tptp.hAPP @t120 @t31) @t56)) % 0.34/0.99 (define @t122 () (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t31 @t56) @t31)) % 0.34/0.99 (define @t123 () (tptp.class_Groups_Ocomm__monoid__add @t14)) % 0.34/0.99 (define @t124 () (tptp.class_Groups_Omonoid__add @t14)) % 0.34/0.99 (define @t125 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t85 @t85)) % 0.34/0.99 (define @t126 () (tptp.class_Groups_Olinordered__ab__group__add @t14)) % 0.34/0.99 (define @t127 () (@list @t85 @t14)) % 0.34/0.99 (define @t128 () (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t56 @t31) @t31)) % 0.34/0.99 (define @t129 () (@var "V_r" $$unsorted)) % 0.34/0.99 (define @t130 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t129)) % 0.34/0.99 (define @t131 () (@list @t129)) % 0.34/0.99 (define @t132 () (@list @t70 @t75 @t77)) % 0.34/0.99 (define @t133 () (tptp.c_Groups_Oabs__class_Oabs @t14 @t85)) % 0.34/0.99 (define @t134 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t47 @t56)) % 0.34/0.99 (define @t135 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t29)) % 0.34/0.99 (define @t136 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t31 @t56)) % 0.34/0.99 (define @t137 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t29 @t56)) % 0.34/0.99 (define @t138 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t31)) % 0.34/0.99 (define @t139 () (tptp.class_Rings_Oordered__cancel__semiring @t14)) % 0.34/0.99 (define @t140 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t47)) % 0.34/0.99 (define @t141 () (tptp.class_Rings_Oordered__ring @t14)) % 0.34/0.99 (define @t142 () (@var "V_d" $$unsorted)) % 0.34/0.99 (define @t143 () (tptp.hAPP @t24 @t29)) % 0.34/0.99 (define @t144 () (tptp.hAPP @t143 @t142)) % 0.34/0.99 (define @t145 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t97)) % 0.34/0.99 (define @t146 () (=> @t145 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t99 @t144))) % 0.34/0.99 (define @t147 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t97 @t142)) % 0.34/0.99 (define @t148 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t31 @t29)) % 0.34/0.99 (define @t149 () (tptp.class_Rings_Oordered__semiring @t14)) % 0.34/0.99 (define @t150 () (@list @t142 @t97 @t29 @t31 @t14)) % 0.34/0.99 (define @t151 () (tptp.hAPP @t24 @t97)) % 0.34/0.99 (define @t152 () (tptp.hAPP @t151 @t29)) % 0.34/0.99 (define @t153 () (tptp.hAPP @t151 @t31)) % 0.34/0.99 (define @t154 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t153 @t152)) % 0.34/0.99 (define @t155 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t97 @t56)) % 0.34/0.99 (define @t156 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t29 @t31)) % 0.34/0.99 (define @t157 () (@list @t97 @t31 @t29 @t14)) % 0.34/0.99 (define @t158 () (tptp.hAPP @t143 @t97)) % 0.34/0.99 (define @t159 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t99 @t158)) % 0.34/0.99 (define @t160 () (=> @t148 (=> @t145 @t154))) % 0.34/0.99 (define @t161 () (tptp.hAPP @t143 @t31)) % 0.34/0.99 (define @t162 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t83)) % 0.34/0.99 (define @t163 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t85 @t56)) % 0.34/0.99 (define @t164 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t83 @t56)) % 0.34/0.99 (define @t165 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t85)) % 0.34/0.99 (define @t166 () (or (and @t165 @t164) (and @t163 @t162))) % 0.34/0.99 (define @t167 () (tptp.class_Rings_Olinordered__ring__strict @t14)) % 0.34/0.99 (define @t168 () (or (and @t165 @t162) (and @t163 @t164))) % 0.34/0.99 (define @t169 () (tptp.class_Rings_Olinordered__ring @t14)) % 0.34/0.99 (define @t170 () (tptp.class_Groups_Oordered__comm__monoid__add @t14)) % 0.34/0.99 (define @t171 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t31 @t97)) % 0.34/0.99 (define @t172 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t29 @t171)) % 0.34/0.99 (define @t173 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t29 @t97)) % 0.34/0.99 (define @t174 () (@var "V_y_2" $$unsorted)) % 0.34/0.99 (define @t175 () (= @t174 @t56)) % 0.34/0.99 (define @t176 () (and @t66 @t175)) % 0.34/0.99 (define @t177 () (@list @t174 @t65 @t14)) % 0.34/0.99 (define @t178 () (= @t32 @t31)) % 0.34/0.99 (define @t179 () (tptp.hAPP @t24 @t13)) % 0.34/0.99 (define @t180 () (tptp.hAPP @t179 @t16)) % 0.34/0.99 (define @t181 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t16)) % 0.34/0.99 (define @t182 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t13 @t16)) % 0.34/0.99 (define @t183 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t16 @t13)) % 0.34/0.99 (define @t184 () (tptp.class_Orderings_Olinorder @t14)) % 0.34/0.99 (define @t185 () (@var "T_b" $$unsorted)) % 0.34/0.99 (define @t186 () (tptp.tc_fun @t14 @t185)) % 0.34/0.99 (define @t187 () (tptp.c_Orderings_Oord__class_Oless__eq @t186 @t2 @t1)) % 0.34/0.99 (define @t188 () (tptp.class_Orderings_Oord @t185)) % 0.34/0.99 (define @t189 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t41 @t13)) % 0.34/0.99 (define @t190 () (tptp.class_Orderings_Oorder @t14)) % 0.34/0.99 (define @t191 () (@list @t41 @t16 @t13 @t14)) % 0.34/0.99 (define @t192 () (= @t16 @t13)) % 0.34/0.99 (define @t193 () (@list @t16 @t13 @t14)) % 0.34/0.99 (define @t194 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t13 @t41)) % 0.34/0.99 (define @t195 () (@list @t41 @t13 @t16 @t14)) % 0.34/0.99 (define @t196 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t97 @t31)) % 0.34/0.99 (define @t197 () (= @t29 @t97)) % 0.34/0.99 (define @t198 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t31 @t97)) % 0.34/0.99 (define @t199 () (tptp.class_Orderings_Oord @t14)) % 0.34/0.99 (define @t200 () (= @t31 @t29)) % 0.34/0.99 (define @t201 () (= @t65 @t174)) % 0.34/0.99 (define @t202 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t65 @t174)) % 0.34/0.99 (define @t203 () (= @t202 @t201)) % 0.34/0.99 (define @t204 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t174 @t65)) % 0.34/0.99 (define @t205 () (@list @t65 @t174 @t14)) % 0.34/0.99 (define @t206 () (@list @t1 @t2 @t14 @t185)) % 0.34/0.99 (define @t207 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t41)) % 0.34/0.99 (define @t208 () (@list @t41 @t70)) % 0.34/0.99 (define @t209 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t97 @t31)) % 0.34/0.99 (define @t210 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t29 @t31)) % 0.34/0.99 (define @t211 () (tptp.class_Groups_Ocancel__semigroup__add @t14)) % 0.34/0.99 (define @t212 () (=> (= @t34 @t171) @t197)) % 0.34/0.99 (define @t213 () (= @t83 @t84)) % 0.34/0.99 (define @t214 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t84 @t85)) % 0.34/0.99 (define @t215 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t83 @t85)) % 0.34/0.99 (define @t216 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t85 @t84)) % 0.34/0.99 (define @t217 () (@list @t84 @t83 @t85 @t14)) % 0.34/0.99 (define @t218 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t29 @t97)) % 0.34/0.99 (define @t219 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t34 @t97)) % 0.34/0.99 (define @t220 () (= @t219 (tptp.c_Groups_Oplus__class_Oplus @t14 @t31 @t218))) % 0.34/0.99 (define @t221 () (= @t41 @t70)) % 0.34/0.99 (define @t222 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t70 @t41)) % 0.34/0.99 (define @t223 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t41 @t70)) % 0.34/0.99 (define @t224 () (@var "V_k" $$unsorted)) % 0.34/0.99 (define @t225 () (@var "V_i" $$unsorted)) % 0.34/0.99 (define @t226 () (@var "V_j" $$unsorted)) % 0.34/0.99 (define @t227 () (@list @t224 @t226 @t225)) % 0.34/0.99 (define @t228 () (@list @t70)) % 0.34/0.99 (define @t229 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t97 @t29)) % 0.34/0.99 (define @t230 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t209 @t229)) % 0.34/0.99 (define @t231 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t14)) % 0.34/0.99 (define @t232 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t171 @t218)) % 0.34/0.99 (define @t233 () (@list @t29 @t97 @t31 @t14)) % 0.34/0.99 (define @t234 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t29 @t142)) % 0.34/0.99 (define @t235 () (tptp.class_Groups_Oordered__ab__semigroup__add @t14)) % 0.34/0.99 (define @t236 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t85 @t83)) % 0.34/0.99 (define @t237 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t84 @t83)) % 0.34/0.99 (define @t238 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t83 @t84)) % 0.34/0.99 (define @t239 () (@list @t83 @t84 @t85 @t14)) % 0.34/0.99 (define @t240 () (@var "V_e" $$unsorted)) % 0.34/0.99 (define @t241 () (tptp.hAPP @t24 @t34)) % 0.34/0.99 (define @t242 () (tptp.hAPP @t179 @t105)) % 0.34/0.99 (define @t243 () (tptp.hAPP @t25 @t105)) % 0.34/0.99 (define @t244 () (@var "V_a_H" $$unsorted)) % 0.34/0.99 (define @t245 () (tptp.hAPP (tptp.hAPP @t24 @t244) @t29)) % 0.34/0.99 (define @t246 () (@list @t29 @t244 @t31 @t14)) % 0.34/0.99 (define @t247 () (= (tptp.hAPP @t241 @t97) (tptp.c_Groups_Oplus__class_Oplus @t14 @t99 @t158))) % 0.34/0.99 (define @t248 () (@var "V_xa" $$unsorted)) % 0.34/0.99 (define @t249 () (tptp.hAPP @t24 @t248)) % 0.34/0.99 (define @t250 () (tptp.hAPP @t249 @t13)) % 0.34/0.99 (define @t251 () (tptp.hAPP @t249 @t16)) % 0.34/0.99 (define @t252 () (@list @t13 @t16 @t248 @t14)) % 0.34/0.99 (define @t253 () (@var "V_b_H" $$unsorted)) % 0.34/0.99 (define @t254 () (tptp.hAPP @t46 @t253)) % 0.34/0.99 (define @t255 () (@list @t253 @t29 @t31 @t14)) % 0.34/0.99 (define @t256 () (tptp.hAPP @t22 @t97)) % 0.34/0.99 (define @t257 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t97 @t55)) % 0.34/0.99 (define @t258 () (tptp.hAPP @t179 @t41)) % 0.34/0.99 (define @t259 () (tptp.hAPP (tptp.hAPP @t24 @t70) @t13)) % 0.34/0.99 (define @t260 () (tptp.hAPP @t25 @t41)) % 0.34/0.99 (define @t261 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t70 @t41)) % 0.34/0.99 (define @t262 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t16 @t13)) % 0.34/0.99 (define @t263 () (not (= @t41 @t56))) % 0.34/0.99 (define @t264 () (not (= @t13 @t56))) % 0.34/0.99 (define @t265 () (tptp.class_Fields_Ofield @t14)) % 0.34/0.99 (define @t266 () (@list @t70 @t16 @t41 @t13 @t14)) % 0.34/0.99 (define @t267 () (tptp.hAPP @t24 @t41)) % 0.34/0.99 (define @t268 () (tptp.hAPP @t267 @t13)) % 0.34/0.99 (define @t269 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t16 @t268)) % 0.34/0.99 (define @t270 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t16 @t41)) % 0.34/0.99 (define @t271 () (@list @t13 @t16 @t41 @t14)) % 0.34/0.99 (define @t272 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t269 @t13)) % 0.34/0.99 (define @t273 () (tptp.hAPP @t267 @t16)) % 0.34/0.99 (define @t274 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t13 @t41)) % 0.34/0.99 (define @t275 () (@list @t16 @t41 @t13 @t14)) % 0.34/0.99 (define @t276 () (tptp.hAPP @t24 @t65)) % 0.34/0.99 (define @t277 () (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t276 @t65) (tptp.hAPP (tptp.hAPP @t24 @t174) @t174))) % 0.34/0.99 (define @t278 () (tptp.hAPP @t25 @t16)) % 0.34/0.99 (define @t279 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t278 (tptp.hAPP @t179 @t13))) % 0.34/0.99 (define @t280 () (= (tptp.c_Groups_Oabs__class_Oabs @t14 @t59) (tptp.c_Rings_Oinverse__class_Odivide @t14 @t32 @t30))) % 0.34/0.99 (define @t281 () (tptp.class_Fields_Olinordered__field @t14)) % 0.34/0.99 (define @t282 () (=> @t91 @t115)) % 0.34/0.99 (define @t283 () (@list @t85 @t84 @t83 @t14)) % 0.34/0.99 (define @t284 () (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_c____ tptp.v_cs____)) % 0.34/0.99 (define @t285 () (= @t85 @t83)) % 0.34/0.99 (define @t286 () (tptp.hAPP @t22 @t84)) % 0.34/0.99 (define @t287 () (not (= @t84 @t55))) % 0.34/0.99 (define @t288 () (@list @t83 @t85 @t84)) % 0.34/0.99 (define @t289 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t13)) % 0.34/0.99 (define @t290 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t16)) % 0.34/0.99 (define @t291 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t65)) % 0.34/0.99 (define @t292 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t174)) % 0.34/0.99 (define @t293 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t65 @t55)) % 0.34/0.99 (define @t294 () (@list @t174 @t65)) % 0.34/0.99 (define @t295 () (= @t65 @t55)) % 0.34/0.99 (define @t296 () (tptp.hAPP @t22 @t174)) % 0.34/0.99 (define @t297 () (tptp.hAPP @t22 @t65)) % 0.34/0.99 (define @t298 () (tptp.hAPP @t297 @t65)) % 0.34/0.99 (define @t299 () (tptp.class_Fields_Olinordered__field__inverse__zero @t14)) % 0.34/0.99 (define @t300 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t85 @t83)) % 0.34/0.99 (define @t301 () (@var "V_w_2" $$unsorted)) % 0.34/0.99 (define @t302 () (tptp.hAPP @t24 @t301)) % 0.34/0.99 (define @t303 () (tptp.hAPP @t302 @t174)) % 0.34/0.99 (define @t304 () (@var "V_za_2" $$unsorted)) % 0.34/0.99 (define @t305 () (tptp.hAPP @t276 @t304)) % 0.34/0.99 (define @t306 () (not @t175)) % 0.34/0.99 (define @t307 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t9)) % 0.34/0.99 (define @t308 () (tptp.hAPP @t24 @t129)) % 0.34/0.99 (define @t309 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t14)) % 0.34/0.99 (define @t310 () (tptp.hAPP @t22 @t129)) % 0.34/0.99 (define @t311 () (@list @t31 @t129)) % 0.34/0.99 (define @t312 () (tptp.class_Rings_Ocomm__semiring__1 @t14)) % 0.34/0.99 (define @t313 () (tptp.hAPP @t24 @t83)) % 0.34/0.99 (define @t314 () (tptp.hAPP @t313 @t84)) % 0.34/0.99 (define @t315 () (@var "V_db_2" $$unsorted)) % 0.34/0.99 (define @t316 () (= @t84 @t315)) % 0.34/0.99 (define @t317 () (@list @t315 @t84 @t83 @t85 @t14)) % 0.34/0.99 (define @t318 () (@var "V_m" $$unsorted)) % 0.34/0.99 (define @t319 () (tptp.hAPP @t46 @t318)) % 0.34/0.99 (define @t320 () (tptp.c_Orderings_Oord__class_Oless @t14 @t13 @t16)) % 0.34/0.99 (define @t321 () (not @t192)) % 0.34/0.99 (define @t322 () (tptp.c_Orderings_Oord__class_Oless @t14 @t16 @t13)) % 0.34/0.99 (define @t323 () (not @t322)) % 0.34/0.99 (define @t324 () (tptp.c_Orderings_Oord__class_Oless @t14 @t41 @t16)) % 0.34/0.99 (define @t325 () (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t41 @t13) @t324)) % 0.34/0.99 (define @t326 () (tptp.c_Orderings_Oord__class_Oless @t14 @t16 @t41)) % 0.34/0.99 (define @t327 () (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t13 @t41) @t326)) % 0.34/0.99 (define @t328 () (tptp.c_Orderings_Oord__class_Oless @t14 @t97 @t31)) % 0.34/0.99 (define @t329 () (tptp.c_Orderings_Oord__class_Oless @t14 @t29 @t31)) % 0.34/0.99 (define @t330 () (tptp.c_Orderings_Oord__class_Oless @t14 @t31 @t97)) % 0.34/0.99 (define @t331 () (tptp.c_Orderings_Oord__class_Oless @t14 @t31 @t29)) % 0.34/0.99 (define @t332 () (tptp.c_Orderings_Oord__class_Oless @t14 @t29 @t97)) % 0.34/0.99 (define @t333 () (=> @t321 (=> @t323 @t320))) % 0.34/0.99 (define @t334 () (tptp.c_Orderings_Oord__class_Oless @t14 @t65 @t174)) % 0.34/0.99 (define @t335 () (not @t334)) % 0.34/0.99 (define @t336 () (= @t335 @t201)) % 0.34/0.99 (define @t337 () (tptp.c_Orderings_Oord__class_Oless @t14 @t174 @t65)) % 0.34/0.99 (define @t338 () (not @t201)) % 0.34/0.99 (define @t339 () (not @t200)) % 0.34/0.99 (define @t340 () (tptp.c_Orderings_Oord__class_Oless @t14 @t209 @t229)) % 0.34/0.99 (define @t341 () (tptp.c_Orderings_Oord__class_Oless @t14 @t171 @t218)) % 0.34/0.99 (define @t342 () (tptp.c_Orderings_Oord__class_Oless @t14 @t171 @t234)) % 0.34/0.99 (define @t343 () (tptp.c_Orderings_Oord__class_Oless @t14 @t97 @t142)) % 0.34/0.99 (define @t344 () (=> @t343 @t342)) % 0.34/0.99 (define @t345 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t14)) % 0.34/0.99 (define @t346 () (tptp.c_Orderings_Oord__class_Oless @t14 @t85 @t83)) % 0.34/0.99 (define @t347 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t65 @t174)) % 0.34/0.99 (define @t348 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t65 @t174)) % 0.34/0.99 (define @t349 () (@list @t65)) % 0.34/0.99 (define @t350 () (tptp.c_Orderings_Oord__class_Oless @t14 @t83 @t85)) % 0.34/0.99 (define @t351 () (tptp.c_Orderings_Oord__class_Oless @t14 @t84 @t56)) % 0.34/0.99 (define @t352 () (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t84)) % 0.34/0.99 (define @t353 () (or (and @t352 @t346) (and @t351 @t350))) % 0.34/0.99 (define @t354 () (tptp.hAPP @t24 @t84)) % 0.34/0.99 (define @t355 () (tptp.hAPP @t354 @t83)) % 0.34/0.99 (define @t356 () (tptp.hAPP @t354 @t85)) % 0.34/0.99 (define @t357 () (tptp.c_Orderings_Oord__class_Oless @t14 @t356 @t355)) % 0.34/0.99 (define @t358 () (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t47)) % 0.34/0.99 (define @t359 () (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t29)) % 0.34/0.99 (define @t360 () (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t31)) % 0.34/0.99 (define @t361 () (tptp.class_Rings_Olinordered__semiring__strict @t14)) % 0.34/0.99 (define @t362 () (tptp.c_Orderings_Oord__class_Oless @t14 @t47 @t56)) % 0.34/0.99 (define @t363 () (tptp.c_Orderings_Oord__class_Oless @t14 @t29 @t56)) % 0.34/0.99 (define @t364 () (=> @t360 @t359)) % 0.34/0.99 (define @t365 () (tptp.c_Orderings_Oord__class_Oless @t14 @t31 @t56)) % 0.34/0.99 (define @t366 () (tptp.c_Orderings_Oord__class_Oless @t14 @t99 @t158)) % 0.34/0.99 (define @t367 () (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t97)) % 0.34/0.99 (define @t368 () (tptp.c_Orderings_Oord__class_Oless @t14 @t153 @t152)) % 0.34/0.99 (define @t369 () (=> @t331 (=> @t367 @t368))) % 0.34/0.99 (define @t370 () (tptp.c_Orderings_Oord__class_Oless @t14 @t97 @t56)) % 0.34/0.99 (define @t371 () (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t85)) % 0.34/0.99 (define @t372 () (tptp.c_Orderings_Oord__class_Oless @t14 @t85 @t56)) % 0.34/0.99 (define @t373 () (= (tptp.c_Orderings_Oord__class_Oless @t14 @t125 @t56) @t372)) % 0.34/0.99 (define @t374 () (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t34)) % 0.34/0.99 (define @t375 () (=> @t359 @t374)) % 0.34/0.99 (define @t376 () (tptp.c_Orderings_Oord__class_Oless @t14 @t29 @t171)) % 0.34/0.99 (define @t377 () (=> @t332 @t376)) % 0.34/0.99 (define @t378 () (tptp.class_Rings_Olinordered__semidom @t14)) % 0.34/0.99 (define @t379 () (tptp.c_Orderings_Oord__class_Oless @t14 @t34 @t56)) % 0.34/0.99 (define @t380 () (=> @t363 @t379)) % 0.34/0.99 (define @t381 () (tptp.c_Orderings_Oord__class_Oless @t14 @t83 @t56)) % 0.34/0.99 (define @t382 () (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t83)) % 0.34/0.99 (define @t383 () (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t262)) % 0.34/0.99 (define @t384 () (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t13)) % 0.34/0.99 (define @t385 () (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t16)) % 0.34/0.99 (define @t386 () (tptp.c_Orderings_Oord__class_Oless @t14 @t262 @t56)) % 0.34/0.99 (define @t387 () (tptp.c_Orderings_Oord__class_Oless @t14 @t13 @t56)) % 0.34/0.99 (define @t388 () (tptp.c_Orderings_Oord__class_Oless @t14 @t16 @t56)) % 0.34/0.99 (define @t389 () (tptp.c_Orderings_Oord__class_Oless @t14 @t109 @t98)) % 0.34/0.99 (define @t390 () (tptp.hAPP @t151 @t142)) % 0.34/0.99 (define @t391 () (@list @t142 @t29 @t97 @t31 @t14)) % 0.34/0.99 (define @t392 () (tptp.hAPP @t296 @t304)) % 0.34/0.99 (define @t393 () (tptp.hAPP @t297 @t304)) % 0.34/0.99 (define @t394 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t304)) % 0.34/0.99 (define @t395 () (@list @t174 @t65 @t304)) % 0.34/0.99 (define @t396 () (tptp.hAPP (tptp.hAPP @t22 @t16) @t13)) % 0.34/0.99 (define @t397 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t13)) % 0.34/0.99 (define @t398 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t16)) % 0.34/0.99 (define @t399 () (@list @t13 @t16)) % 0.34/0.99 (define @t400 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 @t13)) % 0.34/0.99 (define @t401 () (=> @t367 @t148)) % 0.34/0.99 (define @t402 () (=> @t145 @t331)) % 0.34/0.99 (define @t403 () (=> @t368 @t402)) % 0.34/0.99 (define @t404 () (tptp.class_Rings_Olinordered__semiring @t14)) % 0.34/0.99 (define @t405 () (=> @t366 @t402)) % 0.34/0.99 (define @t406 () (tptp.c_Orderings_Oord__class_Oless @t14 @t99 @t144)) % 0.34/0.99 (define @t407 () (=> @t145 @t406)) % 0.34/0.99 (define @t408 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t356 @t355)) % 0.34/0.99 (define @t409 () (not @t66)) % 0.34/0.99 (define @t410 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t262)) % 0.34/0.99 (define @t411 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t262 @t56)) % 0.34/0.99 (define @t412 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t13 @t70)) % 0.34/0.99 (define @t413 () (tptp.c_Orderings_Oord__class_Oless @t14 @t270 @t412)) % 0.34/0.99 (define @t414 () (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t70)) % 0.34/0.99 (define @t415 () (@list @t41 @t70 @t13 @t16 @t14)) % 0.34/0.99 (define @t416 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t70 @t41)) % 0.34/0.99 (define @t417 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t16 @t56)) % 0.34/0.99 (define @t418 () (not @t351)) % 0.34/0.99 (define @t419 () (tptp.c_Orderings_Oord__class_Oless @t14 @t83 @t87)) % 0.34/0.99 (define @t420 () (not @t352)) % 0.34/0.99 (define @t421 () (tptp.c_Orderings_Oord__class_Oless @t14 @t87 @t83)) % 0.34/0.99 (define @t422 () (tptp.c_Orderings_Oord__class_Oless @t14 @t85 @t89)) % 0.34/0.99 (define @t423 () (tptp.c_Orderings_Oord__class_Oless @t14 @t89 @t85)) % 0.34/0.99 (define @t424 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t97 @t29)) % 0.34/0.99 (define @t425 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t97 @t31)) % 0.34/0.99 (define @t426 () (=> @t358 (tptp.c_Orderings_Oord__class_Oless @t14 @t425 @t424))) % 0.34/0.99 (define @t427 () (@var "V_s" $$unsorted)) % 0.34/0.99 (define @t428 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t15 @t427)) % 0.34/0.99 (define @t429 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t17 @t129)) % 0.34/0.99 (define @t430 () (@list @t427 @t13 @t129 @t16 @t14)) % 0.34/0.99 (define @t431 () (tptp.hAPP @t22 @t304)) % 0.34/0.99 (define @t432 () (@var "V_ry" $$unsorted)) % 0.34/0.99 (define @t433 () (@var "V_ly" $$unsorted)) % 0.34/0.99 (define @t434 () (tptp.hAPP @t24 @t433)) % 0.34/0.99 (define @t435 () (@var "V_rx" $$unsorted)) % 0.34/0.99 (define @t436 () (@var "V_lx" $$unsorted)) % 0.34/0.99 (define @t437 () (tptp.hAPP @t24 @t436)) % 0.34/0.99 (define @t438 () (tptp.hAPP @t24 (tptp.hAPP @t437 @t435))) % 0.34/0.99 (define @t439 () (tptp.hAPP @t24 @t435)) % 0.34/0.99 (define @t440 () (tptp.hAPP @t439 @t432)) % 0.34/0.99 (define @t441 () (tptp.hAPP @t24 (tptp.hAPP @t437 @t433))) % 0.34/0.99 (define @t442 () (tptp.hAPP @t441 @t440)) % 0.34/0.99 (define @t443 () (@list @t432 @t435 @t433 @t436 @t14)) % 0.34/0.99 (define @t444 () (tptp.hAPP @t441 @t435)) % 0.34/0.99 (define @t445 () (@list @t435 @t433 @t436 @t14)) % 0.34/0.99 (define @t446 () (tptp.hAPP @t437 @t440)) % 0.34/0.99 (define @t447 () (@list @t432 @t435 @t436 @t14)) % 0.34/0.99 (define @t448 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t97 @t142)) % 0.34/0.99 (define @t449 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t31 @t448)) % 0.34/0.99 (define @t450 () (@list @t142 @t97 @t31 @t14)) % 0.34/0.99 (define @t451 () (=> @t358 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t425 @t424))) % 0.34/0.99 (define @t452 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t87 @t83)) % 0.34/0.99 (define @t453 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t89 @t85)) % 0.34/0.99 (define @t454 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t83 @t87)) % 0.34/0.99 (define @t455 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t85 @t89)) % 0.34/0.99 (define @t456 () (= @t453 @t454)) % 0.34/0.99 (define @t457 () (=> @t352 @t456)) % 0.34/0.99 (define @t458 () (forall @t96 (=> @t281 @t457))) % 0.34/0.99 (define @t459 () (@list @t85 @t83 @t14)) % 0.34/0.99 (define @t460 () (@var "B_z" $$unsorted)) % 0.34/0.99 (define @t461 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t460)) % 0.34/0.99 (define @t462 () (@var "B_r" $$unsorted)) % 0.34/0.99 (define @t463 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t462 @t461)) % 0.34/0.99 (define @t464 () (@list @t460)) % 0.34/0.99 (define @t465 () (@list @t462)) % 0.34/0.99 (define @t466 () (not @t54)) % 0.34/0.99 (define @t467 () (tptp.tc_Polynomial_Opoly @t14)) % 0.34/0.99 (define @t468 () (tptp.c_Groups_Ozero__class_Ozero @t467)) % 0.34/0.99 (define @t469 () (@var "V_pa_2" $$unsorted)) % 0.34/0.99 (define @t470 () (= @t469 @t468)) % 0.34/0.99 (define @t471 () (tptp.c_Polynomial_OpCons @t14 @t85 @t469)) % 0.34/0.99 (define @t472 () (@list @t469 @t85 @t14)) % 0.34/0.99 (define @t473 () (@var "B_K" $$unsorted)) % 0.34/0.99 (define @t474 () (tptp.hAPP (tptp.hAPP @t22 (tptp.c_RealVector_Onorm__class_Onorm @t14 @t3)) @t473)) % 0.34/0.99 (define @t475 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t14 (tptp.c_Rings_Oinverse__class_Odivide @t14 @t3 @t13)) @t474))) % 0.34/0.99 (define @t476 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t473)) % 0.34/0.99 (define @t477 () (@list @t473)) % 0.34/0.99 (define @t478 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t14 (tptp.hAPP (tptp.hAPP @t24 @t3) @t13)) @t474))) % 0.34/0.99 (define @t479 () (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t14 (tptp.hAPP @t25 @t3)) @t474))) % 0.34/0.99 (define @t480 () (@var "B_b" $$unsorted)) % 0.34/0.99 (define @t481 () (@var "B_a" $$unsorted)) % 0.34/0.99 (define @t482 () (forall (@list @t481 @t480) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t14 (tptp.hAPP (tptp.hAPP @t24 @t481) @t480)) (tptp.hAPP (tptp.hAPP @t22 (tptp.hAPP (tptp.hAPP @t22 (tptp.c_RealVector_Onorm__class_Onorm @t14 @t481)) (tptp.c_RealVector_Onorm__class_Onorm @t14 @t480))) @t473)))) % 0.34/0.99 (define @t483 () (@var "V_q" $$unsorted)) % 0.34/0.99 (define @t484 () (tptp.hAPP (tptp.c_Polynomial_Opoly @t14 @t483) @t16)) % 0.34/0.99 (define @t485 () (@var "V_p" $$unsorted)) % 0.34/0.99 (define @t486 () (tptp.c_Polynomial_Opoly @t14 @t485)) % 0.34/0.99 (define @t487 () (tptp.hAPP @t486 @t16)) % 0.34/0.99 (define @t488 () (tptp.c_Groups_Otimes__class_Otimes @t467)) % 0.34/0.99 (define @t489 () (tptp.hAPP @t488 @t485)) % 0.34/0.99 (define @t490 () (tptp.hAPP @t489 @t483)) % 0.34/0.99 (define @t491 () (tptp.class_Rings_Ocomm__semiring__0 @t14)) % 0.34/0.99 (define @t492 () (@list @t16 @t483 @t485 @t14)) % 0.34/0.99 (define @t493 () (tptp.c_Groups_Oplus__class_Oplus @t467 @t485 @t483)) % 0.34/0.99 (define @t494 () (@var "V_q_2" $$unsorted)) % 0.34/0.99 (define @t495 () (= @t469 @t494)) % 0.34/0.99 (define @t496 () (tptp.c_Polynomial_Opoly @t14 @t469)) % 0.34/0.99 (define @t497 () (tptp.class_Rings_Oidom @t14)) % 0.34/0.99 (define @t498 () (and (tptp.class_Int_Oring__char__0 @t14) @t497)) % 0.34/0.99 (define @t499 () (tptp.c_Polynomial_Opoly @t14 @t468)) % 0.34/0.99 (define @t500 () (@list @t469 @t14)) % 0.34/0.99 (define @t501 () (tptp.c_Polynomial_OpCons @t14 @t31 @t485)) % 0.34/0.99 (define @t502 () (@list @t485 @t14)) % 0.34/0.99 (define @t503 () (@list @t483 @t14)) % 0.34/0.99 (define @t504 () (tptp.c_Polynomial_OpCons @t14 @t29 @t483)) % 0.34/0.99 (define @t505 () (@list @t483 @t29 @t485 @t31 @t14)) % 0.34/0.99 (define @t506 () (@var "B_m" $$unsorted)) % 0.34/0.99 (define @t507 () (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex @t485)) % 0.34/0.99 (define @t508 () (@list @t506)) % 0.34/0.99 (define @t509 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 0.34/0.99 (define @t510 () (tptp.c_Polynomial_Opoly__rec @t14 @t185 @t304 @t2 @t469)) % 0.34/0.99 (define @t511 () (tptp.hAPP @t2 @t85)) % 0.34/0.99 (define @t512 () (tptp.hAPP @t511 @t469)) % 0.34/0.99 (define @t513 () (tptp.c_Polynomial_Opoly__rec @t14 @t185 @t304 @t2 (tptp.c_Polynomial_OpCons @t185 @t85 @t469))) % 0.34/0.99 (define @t514 () (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t185))) % 0.34/0.99 (define @t515 () (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t2 (tptp.c_Groups_Ozero__class_Ozero @t185)) @t514) @t304) @t304)) % 0.34/0.99 (define @t516 () (tptp.class_Groups_Ozero @t185)) % 0.34/0.99 (define @t517 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t473)) % 0.34/0.99 (define @t518 () (tptp.c_Polynomial_Opos__poly @t14 @t483)) % 0.34/0.99 (define @t519 () (tptp.c_Polynomial_Opos__poly @t14 @t485)) % 0.34/0.99 (define @t520 () (@list @t483 @t485 @t14)) % 0.34/0.99 (define @t521 () (tptp.hAPP @t488 @t483)) % 0.34/0.99 (define @t522 () (tptp.c_Polynomial_Opcompose @t14 @t485 @t483)) % 0.34/0.99 (define @t523 () (@var "V_n" $$unsorted)) % 0.34/0.99 (define @t524 () (@list @t523)) % 0.34/0.99 (define @t525 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 @t226)) % 0.34/0.99 (define @t526 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t226 @t225)) % 0.34/0.99 (define @t527 () (@var "V_n_2" $$unsorted)) % 0.34/0.99 (define @t528 () (@var "V_m_2" $$unsorted)) % 0.34/0.99 (define @t529 () (= @t528 @t527)) % 0.34/0.99 (define @t530 () (not @t529)) % 0.34/0.99 (define @t531 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t528 @t527)) % 0.34/0.99 (define @t532 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t528 @t527)) % 0.34/0.99 (define @t533 () (@list @t527 @t528)) % 0.34/0.99 (define @t534 () (or @t532 @t529)) % 0.34/0.99 (define @t535 () (@var "V_k_2" $$unsorted)) % 0.34/0.99 (define @t536 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t535 @t527)) % 0.34/0.99 (define @t537 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t535 @t528)) % 0.34/0.99 (define @t538 () (@list @t527 @t528 @t535)) % 0.34/0.99 (define @t539 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 @t523)) % 0.34/0.99 (define @t540 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t523)) % 0.34/0.99 (define @t541 () (@list @t523 @t318)) % 0.34/0.99 (define @t542 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t226 @t318)) % 0.34/0.99 (define @t543 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t225 @t226)) % 0.34/0.99 (define @t544 () (@list @t318 @t226 @t225)) % 0.34/0.99 (define @t545 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t226)) % 0.34/0.99 (define @t546 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t226 @t224)) % 0.34/0.99 (define @t547 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 @t224)) % 0.34/0.99 (define @t548 () (= @t318 @t523)) % 0.34/0.99 (define @t549 () (not @t548)) % 0.34/0.99 (define @t550 () (@var "V_l" $$unsorted)) % 0.34/0.99 (define @t551 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t226 @t550)) % 0.34/0.99 (define @t552 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t224 @t550)) % 0.34/0.99 (define @t553 () (@list @t550 @t224 @t226 @t225)) % 0.34/0.99 (define @t554 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t224 @t523)) % 0.34/0.99 (define @t555 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t527 @t528)) % 0.34/0.99 (define @t556 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t13)) % 0.34/0.99 (define @t557 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t523 @t318)) % 0.34/0.99 (define @t558 () (@list @t318 @t523)) % 0.34/0.99 (define @t559 () (@var "V_t" $$unsorted)) % 0.34/0.99 (define @t560 () (@var "V_P_2" $$unsorted)) % 0.34/0.99 (define @t561 () (tptp.hAPP @t560 @t527)) % 0.34/0.99 (define @t562 () (tptp.hBOOL (tptp.hAPP @t561 @t528))) % 0.34/0.99 (define @t563 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 0.34/0.99 (define @t564 () (tptp.hAPP @t563 @t318)) % 0.34/0.99 (define @t565 () (tptp.hAPP @t564 @t318)) % 0.34/0.99 (define @t566 () (@list @t318)) % 0.34/0.99 (define @t567 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t523)) % 0.34/0.99 (define @t568 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t523 @t318)) % 0.34/0.99 (define @t569 () (@var "B_n" $$unsorted)) % 0.34/0.99 (define @t570 () (@var "V_l_2" $$unsorted)) % 0.34/0.99 (define @t571 () (@list @t569)) % 0.34/0.99 (define @t572 () (@list @t570 @t535)) % 0.34/0.99 (define @t573 () (@var "B_k" $$unsorted)) % 0.34/0.99 (define @t574 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t528 @t573)) % 0.34/0.99 (define @t575 () (@list @t573)) % 0.34/0.99 (define @t576 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t226)) % 0.34/0.99 (define @t577 () (tptp.hAPP @t563 @t226)) % 0.34/0.99 (define @t578 () (tptp.hAPP @t577 @t224)) % 0.34/0.99 (define @t579 () (tptp.hAPP @t563 @t225)) % 0.34/0.99 (define @t580 () (tptp.hAPP @t579 @t224)) % 0.34/0.99 (define @t581 () (tptp.hAPP @t563 @t224)) % 0.34/0.99 (define @t582 () (tptp.hAPP @t581 @t226)) % 0.34/0.99 (define @t583 () (tptp.hAPP @t581 @t225)) % 0.34/0.99 (define @t584 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t550)) % 0.34/0.99 (define @t585 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t523)) % 0.34/0.99 (define @t586 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t224)) % 0.34/0.99 (define @t587 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t586 @t523)) % 0.34/0.99 (define @t588 () (@list @t523 @t224 @t318)) % 0.34/0.99 (define @t589 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t523 @t318)) % 0.34/0.99 (define @t590 () (= @t527 @t509)) % 0.34/0.99 (define @t591 () (@list @t527)) % 0.34/0.99 (define @t592 () (= @t528 @t509)) % 0.34/0.99 (define @t593 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t528 @t527)) % 0.34/0.99 (define @t594 () (tptp.hAPP @t563 @t528)) % 0.34/0.99 (define @t595 () (tptp.hAPP @t594 @t527)) % 0.34/0.99 (define @t596 () (= @t535 @t509)) % 0.34/0.99 (define @t597 () (or @t529 @t596)) % 0.34/0.99 (define @t598 () (tptp.hAPP @t563 @t535)) % 0.34/0.99 (define @t599 () (tptp.hAPP @t598 @t527)) % 0.34/0.99 (define @t600 () (tptp.hAPP @t598 @t528)) % 0.34/0.99 (define @t601 () (= @t600 @t599)) % 0.34/0.99 (define @t602 () (tptp.hAPP @t563 @t527)) % 0.34/0.99 (define @t603 () (tptp.hAPP @t602 @t535)) % 0.34/0.99 (define @t604 () (tptp.hAPP @t594 @t535)) % 0.34/0.99 (define @t605 () (@list @t527 @t535 @t528)) % 0.34/0.99 (define @t606 () (= @t523 @t509)) % 0.34/0.99 (define @t607 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t523)) % 0.34/0.99 (define @t608 () (not @t606)) % 0.34/0.99 (define @t609 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t224)) % 0.34/0.99 (define @t610 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t535)) % 0.34/0.99 (define @t611 () (=> @t610 @t531)) % 0.34/0.99 (define @t612 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t600 @t599)) % 0.34/0.99 (define @t613 () (and @t610 @t532)) % 0.34/0.99 (define @t614 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t600 @t599)) % 0.34/0.99 (define @t615 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t527)) % 0.34/0.99 (define @t616 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t528)) % 0.34/0.99 (define @t617 () (not @t590)) % 0.34/0.99 (define @t618 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t16 @t13)) % 0.34/0.99 (define @t619 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t13 @t41)) % 0.34/0.99 (define @t620 () (tptp.hAPP @t581 @t523)) % 0.34/0.99 (define @t621 () (tptp.hAPP @t581 @t318)) % 0.34/0.99 (define @t622 () (@list @t523 @t318 @t224)) % 0.34/0.99 (define @t623 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t523 @t224)) % 0.34/0.99 (define @t624 () (@list @t224 @t523 @t318)) % 0.34/0.99 (define @t625 () (tptp.hAPP @t563 @t523)) % 0.34/0.99 (define @t626 () (tptp.hAPP @t625 @t224)) % 0.34/0.99 (define @t627 () (tptp.hAPP @t564 @t224)) % 0.34/0.99 (define @t628 () (tptp.hAPP @t564 @t523)) % 0.34/0.99 (define @t629 () (tptp.hAPP @t625 @t318)) % 0.34/0.99 (define @t630 () (@var "V_u" $$unsorted)) % 0.34/0.99 (define @t631 () (tptp.hAPP @t577 @t630)) % 0.34/0.99 (define @t632 () (tptp.hAPP @t579 @t630)) % 0.34/0.99 (define @t633 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t619)) % 0.34/0.99 (define @t634 () (@list @t13 @t41 @t16)) % 0.34/0.99 (define @t635 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t16 @t619)) % 0.34/0.99 (define @t636 () (@var "V_v" $$unsorted)) % 0.34/0.99 (define @t637 () (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP (tptp.hAPP @t24 @t630) @t16) (tptp.hAPP (tptp.hAPP @t24 @t636) @t13))) % 0.34/0.99 (define @t638 () (tptp.c_Groups_Oone__class_Oone @t14)) % 0.34/0.99 (define @t639 () (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t630 @t636) @t638)) % 0.34/0.99 (define @t640 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t636)) % 0.34/0.99 (define @t641 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t630)) % 0.34/0.99 (define @t642 () (@list @t636 @t630 @t13 @t31 @t16 @t14)) % 0.34/0.99 (define @t643 () (@var "B_e" $$unsorted)) % 0.34/0.99 (define @t644 () (tptp.c_NthRoot_Oroot @t523 @t16)) % 0.34/0.99 (define @t645 () (tptp.c_NthRoot_Oroot @t318 @t644)) % 0.34/0.99 (define @t646 () (= (tptp.c_NthRoot_Oroot @t628 @t16) @t645)) % 0.34/0.99 (define @t647 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t318)) % 0.34/0.99 (define @t648 () (@list @t16 @t523 @t318)) % 0.34/0.99 (define @t649 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 0.34/0.99 (define @t650 () (tptp.c_NthRoot_Oroot @t527 @t65)) % 0.34/0.99 (define @t651 () (@list @t65 @t527)) % 0.34/0.99 (define @t652 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t14)) % 0.34/0.99 (define @t653 () (tptp.c_Groups_Oone__class_Oone @t467)) % 0.34/0.99 (define @t654 () (@list @t41)) % 0.34/0.99 (define @t655 () (= (tptp.hAPP (tptp.hAPP @t24 @t638) @t31) @t31)) % 0.34/0.99 (define @t656 () (tptp.class_Groups_Omonoid__mult @t14)) % 0.34/0.99 (define @t657 () (tptp.class_Groups_Ocomm__monoid__mult @t14)) % 0.34/0.99 (define @t658 () (= (tptp.hAPP @t46 @t638) @t31)) % 0.34/0.99 (define @t659 () (tptp.class_Rings_Ozero__neq__one @t14)) % 0.34/0.99 (define @t660 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 0.34/0.99 (define @t661 () (and (= @t528 @t660) (= @t527 @t660))) % 0.34/0.99 (define @t662 () (@var "V_N" $$unsorted)) % 0.34/0.99 (define @t663 () (tptp.c_NthRoot_Oroot @t662 @t16)) % 0.34/0.99 (define @t664 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t649 @t16)) % 0.34/0.99 (define @t665 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t523 @t662)) % 0.34/0.99 (define @t666 () (@list @t16 @t662 @t523)) % 0.34/0.99 (define @t667 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t65 @t649)) % 0.34/0.99 (define @t668 () (tptp.c_NthRoot_Oroot @t527 @t174)) % 0.34/0.99 (define @t669 () (@list @t174 @t527)) % 0.34/0.99 (define @t670 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t16)) % 0.34/0.99 (define @t671 () (@list @t174 @t65 @t527)) % 0.34/0.99 (define @t672 () (tptp.hAPP @t24 @t318)) % 0.34/0.99 (define @t673 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t31 @t638)) % 0.34/0.99 (define @t674 () (tptp.hAPP (tptp.hAPP @t24 @t673) @t318)) % 0.34/0.99 (define @t675 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t638 @t638)) % 0.34/0.99 (define @t676 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t31 @t31)) % 0.34/0.99 (define @t677 () (=> @t113 (= @t676 @t638))) % 0.34/0.99 (define @t678 () (= @t318 @t509)) % 0.34/0.99 (define @t679 () (tptp.c_NthRoot_Oroot @t523 @t13)) % 0.34/0.99 (define @t680 () (@list @t13 @t16 @t523)) % 0.34/0.99 (define @t681 () (=> @t400 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t644 @t679))) % 0.34/0.99 (define @t682 () (= (tptp.c_NthRoot_Oroot @t523 @t396) (tptp.hAPP (tptp.hAPP @t22 @t644) @t679))) % 0.34/0.99 (define @t683 () (@list @t16 @t523)) % 0.34/0.99 (define @t684 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t13 @t638)) % 0.34/0.99 (define @t685 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t13)) % 0.34/0.99 (define @t686 () (tptp.c_Rings_Oinverse__class_Odivide @t14 @t34 @t675)) % 0.34/0.99 (define @t687 () (@list @t16)) % 0.34/0.99 (define @t688 () (@var "V_x_1" $$unsorted)) % 0.34/0.99 (define @t689 () (@var "V_n_1" $$unsorted)) % 0.34/0.99 (define @t690 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t13)) % 0.34/0.99 (define @t691 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 0.34/0.99 (define @t692 () (tptp.hAPP @t691 @t644)) % 0.34/0.99 (define @t693 () (= (tptp.hAPP @t692 @t523) @t16)) % 0.34/0.99 (define @t694 () (tptp.hAPP @t691 @t16)) % 0.34/0.99 (define @t695 () (tptp.hAPP @t694 @t523)) % 0.34/0.99 (define @t696 () (tptp.c_Power_Opower__class_Opower @t14)) % 0.34/0.99 (define @t697 () (tptp.hAPP @t696 @t16)) % 0.34/0.99 (define @t698 () (tptp.hAPP @t696 @t13)) % 0.34/0.99 (define @t699 () (tptp.hAPP @t697 @t483)) % 0.34/0.99 (define @t700 () (tptp.hAPP @t24 @t699)) % 0.34/0.99 (define @t701 () (tptp.hAPP @t563 @t485)) % 0.34/0.99 (define @t702 () (tptp.hAPP @t697 @t485)) % 0.34/0.99 (define @t703 () (@list @t483 @t485 @t16 @t14)) % 0.34/0.99 (define @t704 () (tptp.hAPP (tptp.hAPP @t691 @t17) @t523)) % 0.34/0.99 (define @t705 () (tptp.hAPP @t697 @t523)) % 0.34/0.99 (define @t706 () (tptp.c_RealVector_Onorm__class_Onorm @t14 @t705)) % 0.34/0.99 (define @t707 () (@list @t523 @t16 @t14)) % 0.34/0.99 (define @t708 () (tptp.hAPP @t696 @t29)) % 0.34/0.99 (define @t709 () (tptp.hAPP @t708 @t523)) % 0.34/0.99 (define @t710 () (tptp.hAPP @t696 @t31)) % 0.34/0.99 (define @t711 () (tptp.hAPP @t710 @t523)) % 0.34/0.99 (define @t712 () (tptp.c_Orderings_Oord__class_Oless @t14 @t711 @t709)) % 0.34/0.99 (define @t713 () (@list @t523 @t29 @t31 @t14)) % 0.34/0.99 (define @t714 () (tptp.c_Orderings_Oord__class_Oless @t14 @t638 @t31)) % 0.34/0.99 (define @t715 () (@list @t523 @t31 @t14)) % 0.34/0.99 (define @t716 () (tptp.hAPP @t710 @t318)) % 0.34/0.99 (define @t717 () (@list @t523 @t318 @t31 @t14)) % 0.34/0.99 (define @t718 () (tptp.hAPP @t696 @t83)) % 0.34/0.99 (define @t719 () (tptp.hAPP @t718 @t174)) % 0.34/0.99 (define @t720 () (tptp.hAPP @t718 @t65)) % 0.34/0.99 (define @t721 () (tptp.c_Orderings_Oord__class_Oless @t14 @t638 @t83)) % 0.34/0.99 (define @t722 () (@list @t174 @t65 @t83 @t14)) % 0.34/0.99 (define @t723 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 0.34/0.99 (define @t724 () (tptp.hAPP @t723 @t16)) % 0.34/0.99 (define @t725 () (tptp.hAPP @t724 @t13)) % 0.34/0.99 (define @t726 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 0.34/0.99 (define @t727 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 0.34/0.99 (define @t728 () (@list @t527 @t65)) % 0.34/0.99 (define @t729 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 0.34/0.99 (define @t730 () (tptp.hAPP @t729 @t225)) % 0.34/0.99 (define @t731 () (tptp.hAPP @t730 @t523)) % 0.34/0.99 (define @t732 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t65)) % 0.34/0.99 (define @t733 () (tptp.hAPP @t729 @t65)) % 0.34/0.99 (define @t734 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 (tptp.hAPP @t733 @t527))) % 0.34/0.99 (define @t735 () (tptp.hAPP @t46 @t711)) % 0.34/0.99 (define @t736 () (tptp.hAPP @t24 @t711)) % 0.34/0.99 (define @t737 () (tptp.hAPP @t736 @t31)) % 0.34/0.99 (define @t738 () (@list @t523 @t14)) % 0.34/0.99 (define @t739 () (= (tptp.hAPP (tptp.hAPP @t696 @t59) @t523) (tptp.c_Rings_Oinverse__class_Odivide @t14 @t711 @t709))) % 0.34/0.99 (define @t740 () (tptp.hAPP (tptp.hAPP @t696 @t32) @t523)) % 0.34/0.99 (define @t741 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t638 @t31)) % 0.34/0.99 (define @t742 () (tptp.hAPP @t696 @t85)) % 0.34/0.99 (define @t743 () (tptp.hAPP @t742 @t527)) % 0.34/0.99 (define @t744 () (tptp.class_Power_Opower @t14)) % 0.34/0.99 (define @t745 () (@list @t29 @t523 @t31 @t14)) % 0.34/0.99 (define @t746 () (tptp.hAPP @t696 @t56)) % 0.34/0.99 (define @t747 () (tptp.hAPP @t746 @t523)) % 0.34/0.99 (define @t748 () (and @t744 (tptp.class_Rings_Osemiring__0 @t14))) % 0.34/0.99 (define @t749 () (tptp.hAPP @t710 @t662)) % 0.34/0.99 (define @t750 () (@list @t31 @t662 @t523 @t14)) % 0.34/0.99 (define @t751 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t523 @t662)) % 0.34/0.99 (define @t752 () (tptp.c_Orderings_Oord__class_Oless @t14 @t31 @t638)) % 0.34/0.99 (define @t753 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (define @t754 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (define @t755 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (define @t756 () (@list @t523 @t16)) % 0.34/0.99 (define @t757 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t225 @t226)) % 0.34/0.99 (define @t758 () (tptp.hAPP @t726 @t224)) % 0.34/0.99 (define @t759 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t224)) % 0.34/0.99 (define @t760 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t70 @t41)) % 0.34/0.99 (define @t761 () (@var "V_z_H" $$unsorted)) % 0.34/0.99 (define @t762 () (@var "V_w_H" $$unsorted)) % 0.34/0.99 (define @t763 () (tptp.hAPP @t726 @t70)) % 0.34/0.99 (define @t764 () (tptp.hAPP @t763 @t75)) % 0.34/0.99 (define @t765 () (tptp.hAPP @t763 @t77)) % 0.34/0.99 (define @t766 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t77 @t75)) % 0.34/0.99 (define @t767 () (@list @t75 @t77 @t70)) % 0.34/0.99 (define @t768 () (tptp.hAPP @t726 @t75)) % 0.34/0.99 (define @t769 () (tptp.hAPP @t768 @t70)) % 0.34/0.99 (define @t770 () (tptp.hAPP @t726 @t77)) % 0.34/0.99 (define @t771 () (tptp.hAPP @t770 @t70)) % 0.34/0.99 (define @t772 () (tptp.hAPP @t726 @t41)) % 0.34/0.99 (define @t773 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 0.34/0.99 (define @t774 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t301 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t304 @t773))) % 0.34/0.99 (define @t775 () (@list @t304 @t301)) % 0.34/0.99 (define @t776 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t301 @t304)) % 0.34/0.99 (define @t777 () (@list @t304)) % 0.34/0.99 (define @t778 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t773 @t41)) % 0.34/0.99 (define @t779 () (@var "V_one_2" $$unsorted)) % 0.34/0.99 (define @t780 () (@var "V_times_2" $$unsorted)) % 0.34/0.99 (define @t781 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t14 @t779 @t780) @t85)) % 0.34/0.99 (define @t782 () (@var "V_q_H" $$unsorted)) % 0.34/0.99 (define @t783 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t253)) % 0.34/0.99 (define @t784 () (@var "V_r_H" $$unsorted)) % 0.34/0.99 (define @t785 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t784 @t253)) % 0.34/0.99 (define @t786 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t726 @t253) @t782) @t784)) % 0.34/0.99 (define @t787 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t786)) % 0.34/0.99 (define @t788 () (@list @t784 @t782 @t253)) % 0.34/0.99 (define @t789 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t784)) % 0.34/0.99 (define @t790 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t786 @t727)) % 0.34/0.99 (define @t791 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t782 @t483)) % 0.34/0.99 (define @t792 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t129 @t29)) % 0.34/0.99 (define @t793 () (tptp.hAPP @t726 @t29)) % 0.34/0.99 (define @t794 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t793 @t483) @t129)) % 0.34/0.99 (define @t795 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t793 @t782) @t784) @t794)) % 0.34/0.99 (define @t796 () (@list @t129 @t483 @t784 @t782 @t29)) % 0.34/0.99 (define @t797 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t70 @t41)) % 0.34/0.99 (define @t798 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t41 @t70)) % 0.34/0.99 (define @t799 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t225 @t226)) % 0.34/0.99 (define @t800 () (= @t31 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t129 (tptp.hAPP (tptp.hAPP @t726 @t31) @t483)))) % 0.34/0.99 (define @t801 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t31)) % 0.34/0.99 (define @t802 () (@list @t483 @t129 @t31)) % 0.34/0.99 (define @t803 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t129)) % 0.34/0.99 (define @t804 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t253 @t29)) % 0.34/0.99 (define @t805 () (= @t794 @t786)) % 0.34/0.99 (define @t806 () (@list @t784 @t782 @t253 @t129 @t483 @t29)) % 0.34/0.99 (define @t807 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t483 @t782)) % 0.34/0.99 (define @t808 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t16)) % 0.34/0.99 (define @t809 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t13)) % 0.34/0.99 (define @t810 () (@var "B_i" $$unsorted)) % 0.34/0.99 (define @t811 () (tptp.hBOOL (tptp.hAPP @t560 @t810))) % 0.34/0.99 (define @t812 () (@list @t810)) % 0.34/0.99 (define @t813 () (tptp.hBOOL (tptp.hAPP @t560 @t509))) % 0.34/0.99 (define @t814 () (not @t813)) % 0.34/0.99 (define @t815 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t31)) % 0.34/0.99 (define @t816 () (@list @t31 @t523)) % 0.34/0.99 (define @t817 () (@var "B_y" $$unsorted)) % 0.34/0.99 (define @t818 () (@list @t817)) % 0.34/0.99 (define @t819 () (tptp.c_RComplete_Onatceiling @t16)) % 0.34/0.99 (define @t820 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t16 @t649)) % 0.34/0.99 (define @t821 () (tptp.c_RComplete_Onatfloor @t16)) % 0.34/0.99 (define @t822 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t523 @t660)) % 0.34/0.99 (define @t823 () (tptp.c_Groups_Ominus__class_Ominus @t14 @t85 @t83)) % 0.34/0.99 (define @t824 () (tptp.class_Groups_Oordered__ab__group__add @t14)) % 0.34/0.99 (define @t825 () (tptp.c_Groups_Ominus__class_Ominus @t14 @t31 @t29)) % 0.34/0.99 (define @t826 () (tptp.c_RealVector_Onorm__class_Onorm @t14 @t825)) % 0.34/0.99 (define @t827 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t39 @t58)) % 0.34/0.99 (define @t828 () (= @t823 (tptp.c_Groups_Ominus__class_Ominus @t14 @t84 @t315))) % 0.34/0.99 (define @t829 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t527 @t535)) % 0.34/0.99 (define @t830 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t528 @t535)) % 0.34/0.99 (define @t831 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t535 @t527)) % 0.34/0.99 (define @t832 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t535 @t528)) % 0.34/0.99 (define @t833 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t318 @t523)) % 0.34/0.99 (define @t834 () (@list @t523 @t225)) % 0.34/0.99 (define @t835 () (@list @t550 @t523 @t318)) % 0.34/0.99 (define @t836 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t550 @t318)) % 0.34/0.99 (define @t837 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t550 @t523)) % 0.34/0.99 (define @t838 () (tptp.class_Groups_Ogroup__add @t14)) % 0.34/0.99 (define @t839 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t224 @t318)) % 0.34/0.99 (define @t840 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t225 @t226)) % 0.34/0.99 (define @t841 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t840 @t224)) % 0.34/0.99 (define @t842 () (tptp.c_Groups_Ominus__class_Ominus @t14 @t16 @t13)) % 0.34/0.99 (define @t843 () (tptp.c_Groups_Ominus__class_Ominus @t14 @t29 @t31)) % 0.34/0.99 (define @t844 () (tptp.c_Groups_Ominus__class_Ominus @t467 @t485 @t483)) % 0.34/0.99 (define @t845 () (tptp.class_Groups_Oab__group__add @t14)) % 0.34/0.99 (define @t846 () (= @t823 @t56)) % 0.34/0.99 (define @t847 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t226 @t224)) % 0.34/0.99 (define @t848 () (tptp.c_Groups_Oabs__class_Oabs @t14 @t843)) % 0.34/0.99 (define @t849 () (tptp.c_Groups_Oabs__class_Oabs @t14 @t825)) % 0.34/0.99 (define @t850 () (= @t833 @t509)) % 0.34/0.99 (define @t851 () (tptp.hAPP @t24 @t842)) % 0.34/0.99 (define @t852 () (tptp.hAPP @t24 (tptp.c_Groups_Ominus__class_Ominus @t14 @t16 @t31))) % 0.34/0.99 (define @t853 () (tptp.hAPP @t852 @t29)) % 0.34/0.99 (define @t854 () (tptp.c_Groups_Ominus__class_Ominus @t14 @t13 @t29)) % 0.34/0.99 (define @t855 () (tptp.c_Groups_Ominus__class_Ominus @t14 @t26 @t47)) % 0.34/0.99 (define @t856 () (tptp.class_Rings_Oring @t14)) % 0.34/0.99 (define @t857 () (@list @t29 @t31 @t13 @t16 @t14)) % 0.34/0.99 (define @t858 () (@var "V_e_2" $$unsorted)) % 0.34/0.99 (define @t859 () (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP (tptp.hAPP @t24 (tptp.c_Groups_Ominus__class_Ominus @t14 @t83 @t85)) @t858) @t315)) % 0.34/0.99 (define @t860 () (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t313 @t858) @t315)) % 0.34/0.99 (define @t861 () (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t86 @t858) @t84)) % 0.34/0.99 (define @t862 () (= @t861 @t860)) % 0.34/0.99 (define @t863 () (@list @t315 @t83 @t84 @t858 @t85 @t14)) % 0.34/0.99 (define @t864 () (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP (tptp.hAPP @t24 @t823) @t858) @t84)) % 0.34/0.99 (define @t865 () (@var "V_r_2" $$unsorted)) % 0.34/0.99 (define @t866 () (tptp.c_Groups_Ominus__class_Ominus @t14 @t32 @t30)) % 0.34/0.99 (define @t867 () (@list @t528 @t527)) % 0.34/0.99 (define @t868 () (@var "V_j_2" $$unsorted)) % 0.34/0.99 (define @t869 () (@var "V_i_2" $$unsorted)) % 0.34/0.99 (define @t870 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t869 @t535)) % 0.34/0.99 (define @t871 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t868 @t535)) % 0.34/0.99 (define @t872 () (@list @t535 @t868 @t869)) % 0.34/0.99 (define @t873 () (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t523 @t833) @t318)) % 0.34/0.99 (define @t874 () (not @t540)) % 0.34/0.99 (define @t875 () (@list @t97 @t29 @t31)) % 0.34/0.99 (define @t876 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t226 @t224)) % 0.34/0.99 (define @t877 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t226)) % 0.34/0.99 (define @t878 () (@list @t225 @t226 @t224)) % 0.34/0.99 (define @t879 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t525 @t224)) % 0.34/0.99 (define @t880 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 @t876)) % 0.34/0.99 (define @t881 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t868 @t869)) % 0.34/0.99 (define @t882 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t869 @t868)) % 0.34/0.99 (define @t883 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t526 @t224)) % 0.34/0.99 (define @t884 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t876 @t225)) % 0.34/0.99 (define @t885 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 @t55)) % 0.34/0.99 (define @t886 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t861 @t860)) % 0.34/0.99 (define @t887 () (tptp.c_Orderings_Oord__class_Oless @t14 @t861 @t860)) % 0.34/0.99 (define @t888 () (tptp.c_Groups_Ominus__class_Ominus @t14 @t29 @t142)) % 0.34/0.99 (define @t889 () (tptp.c_Groups_Ominus__class_Ominus @t14 @t31 @t97)) % 0.34/0.99 (define @t890 () (tptp.c_Groups_Ominus__class_Ominus @t14 @t34 @t448)) % 0.34/0.99 (define @t891 () (@var "B_d" $$unsorted)) % 0.34/0.99 (define @t892 () (tptp.hBOOL (tptp.hAPP @t560 @t891))) % 0.34/0.99 (define @t893 () (= @t85 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t83 @t891))) % 0.34/0.99 (define @t894 () (@list @t891)) % 0.34/0.99 (define @t895 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t85 @t83)) % 0.34/0.99 (define @t896 () (tptp.hBOOL (tptp.hAPP @t560 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t85 @t83)))) % 0.34/0.99 (define @t897 () (@list @t83 @t85 @t560)) % 0.34/0.99 (define @t898 () (@var "V_u_2" $$unsorted)) % 0.34/0.99 (define @t899 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t563 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t869 @t868)) @t898) @t528)) % 0.34/0.99 (define @t900 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t563 @t868) @t898) @t527)) % 0.34/0.99 (define @t901 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t563 @t869) @t898) @t528)) % 0.34/0.99 (define @t902 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t901 @t900)) % 0.34/0.99 (define @t903 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t868 @t869)) % 0.34/0.99 (define @t904 () (@list @t527 @t528 @t898 @t869 @t868)) % 0.34/0.99 (define @t905 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t632 @t318) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t631 @t523))) % 0.34/0.99 (define @t906 () (= @t901 @t900)) % 0.34/0.99 (define @t907 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t563 @t881) @t898) @t527)) % 0.34/0.99 (define @t908 () (@list @t527 @t528 @t898 @t868 @t869)) % 0.34/0.99 (define @t909 () (tptp.c_RComplete_Onatfloor @t65)) % 0.34/0.99 (define @t910 () (tptp.c_RComplete_Onatceiling @t65)) % 0.34/0.99 (define @t911 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t901 @t900)) % 0.34/0.99 (define @t912 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t318 @t660)) % 0.34/0.99 (define @t913 () (not @t678)) % 0.34/0.99 (define @t914 () (tptp.c_RComplete_Onatfloor @t31)) % 0.34/0.99 (define @t915 () (@list @t29 @t31)) % 0.34/0.99 (define @t916 () (tptp.hAPP @t729 @t485)) % 0.34/0.99 (define @t917 () (tptp.hAPP @t916 @t318)) % 0.34/0.99 (define @t918 () (tptp.hAPP @t696 @t318)) % 0.34/0.99 (define @t919 () (tptp.hAPP @t918 @t523)) % 0.34/0.99 (define @t920 () (@var "V_h" $$unsorted)) % 0.34/0.99 (define @t921 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t523 @t660)) % 0.34/0.99 (define @t922 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t523)) % 0.34/0.99 (define @t923 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t922 @t649)) % 0.34/0.99 (define @t924 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t821)) % 0.34/0.99 (define @t925 () (tptp.c_Polynomial_Opos__poly @t14 (tptp.c_Groups_Ominus__class_Ominus @t467 @t174 @t65))) % 0.34/0.99 (define @t926 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t31)) % 0.34/0.99 (define @t927 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t16 @t926)) % 0.34/0.99 (define @t928 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t926 @t16)) % 0.34/0.99 (define @t929 () (@list @t16 @t31)) % 0.34/0.99 (define @t930 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t318)) % 0.34/0.99 (define @t931 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t77 @t75)) % 0.34/0.99 (define @t932 () (tptp.hAPP @t2 @t83)) % 0.34/0.99 (define @t933 () (tptp.hAPP @t22 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t932 @t511) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t83 @t85)))) % 0.34/0.99 (define @t934 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t16)) % 0.34/0.99 (define @t935 () (= @t527 @t528)) % 0.34/0.99 (define @t936 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t528)) % 0.34/0.99 (define @t937 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t527)) % 0.34/0.99 (define @t938 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t527 @t528)) % 0.34/0.99 (define @t939 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t729 @t318) @t523))) % 0.34/0.99 (define @t940 () (tptp.hAPP (tptp.hAPP @t691 @t930) @t523)) % 0.34/0.99 (define @t941 () (@list @t31 @t16)) % 0.34/0.99 (define @t942 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t85)) % 0.34/0.99 (define @t943 () (@list @t85 @t65)) % 0.34/0.99 (define @t944 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t16 @t926)) % 0.34/0.99 (define @t945 () (tptp.hAPP @t22 @t922)) % 0.34/0.99 (define @t946 () (tptp.hAPP (tptp.hAPP @t726 (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 @t16 @t41)) @t773)) @t142)) % 0.34/0.99 (define @t947 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t142)) % 0.34/0.99 (define @t948 () (tptp.c_Transcendental_Oarctan @t13)) % 0.34/0.99 (define @t949 () (tptp.c_Transcendental_Oarctan @t16)) % 0.34/0.99 (define @t950 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t569)) % 0.34/0.99 (define @t951 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t129)) % 0.34/0.99 (define @t952 () (@var "V_M_2" $$unsorted)) % 0.34/0.99 (define @t953 () (@var "V_X_2" $$unsorted)) % 0.34/0.99 (define @t954 () (tptp.hAPP @t953 @t952)) % 0.34/0.99 (define @t955 () (tptp.hAPP @t953 @t569)) % 0.34/0.99 (define @t956 () (tptp.c_RealVector_Onorm__class_Onorm @t185 @t955)) % 0.34/0.99 (define @t957 () (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t952 @t569)) % 0.34/0.99 (define @t958 () (tptp.class_RealVector_Oreal__normed__vector @t185)) % 0.34/0.99 (define @t959 () (@var "B_w" $$unsorted)) % 0.34/0.99 (define @t960 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t959 @t41))) % 0.34/0.99 (define @t961 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t891)) % 0.34/0.99 (define @t962 () (tptp.c_Nat__Transfer_Otsub @t16 @t13)) % 0.34/0.99 (define @t963 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t13 @t16)) % 0.34/0.99 (define @t964 () (=> @t963 (= @t962 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t16 @t13)))) % 0.34/0.99 (define @t965 () (@list @t16 @t13)) % 0.34/0.99 (define @t966 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t318 @t523)) % 0.34/0.99 (define @t967 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t621 @t620)) % 0.34/0.99 (define @t968 () (= @t967 @t966)) % 0.34/0.99 (define @t969 () (= @t224 @t509)) % 0.34/0.99 (define @t970 () (tptp.c_Divides_Odiv__class_Odiv @t14 @t31 @t29)) % 0.34/0.99 (define @t971 () (tptp.c_Divides_Odiv__class_Odiv @t14 @t153 @t152)) % 0.34/0.99 (define @t972 () (=> @t101 (= @t971 @t970))) % 0.34/0.99 (define @t973 () (tptp.class_Divides_Osemiring__div @t14)) % 0.34/0.99 (define @t974 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t31 @t29)) % 0.34/0.99 (define @t975 () (tptp.hAPP @t563 @t29)) % 0.34/0.99 (define @t976 () (tptp.hAPP @t975 @t97)) % 0.34/0.99 (define @t977 () (=> @t540 (= @t966 @t509))) % 0.34/0.99 (define @t978 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t922 @t934)) % 0.34/0.99 (define @t979 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t523 @t16))) % 0.34/0.99 (define @t980 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t97 @t970)) % 0.34/0.99 (define @t981 () (tptp.c_Groups_Oplus__class_Oplus @t14 @t970 @t638)) % 0.34/0.99 (define @t982 () (@var "B_j" $$unsorted)) % 0.34/0.99 (define @t983 () (@list @t535 @t527 @t560)) % 0.34/0.99 (define @t984 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t978 @t979)) % 0.34/0.99 (define @t985 () (tptp.c_Complex_Orcis @t129 @t31)) % 0.34/0.99 (define @t986 () (@list @t31)) % 0.34/0.99 (define @t987 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t85 @t83)) % 0.34/0.99 (define @t988 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t987 @t727)) % 0.34/0.99 (define @t989 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t83)) % 0.34/0.99 (define @t990 () (@list @t85 @t83)) % 0.34/0.99 (define @t991 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t83 @t727)) % 0.34/0.99 (define @t992 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t31 @t29)) % 0.34/0.99 (define @t993 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t29)) % 0.34/0.99 (define @t994 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t31 @t727)) % 0.34/0.99 (define @t995 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t244 @t29)) % 0.34/0.99 (define @t996 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t29 @t727)) % 0.34/0.99 (define @t997 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t31 @t244)) % 0.34/0.99 (define @t998 () (@list @t29 @t244 @t31)) % 0.34/0.99 (define @t999 () (= @t992 @t727)) % 0.34/0.99 (define @t1000 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t31 @t727)) % 0.34/0.99 (define @t1001 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t31 @t253)) % 0.34/0.99 (define @t1002 () (@list @t29 @t253 @t31)) % 0.34/0.99 (define @t1003 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t992 @t727)) % 0.34/0.99 (define @t1004 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t987)) % 0.34/0.99 (define @t1005 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t31)) % 0.34/0.99 (define @t1006 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t85)) % 0.34/0.99 (define @t1007 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t869 @t535)) % 0.34/0.99 (define @t1008 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t535)) % 0.34/0.99 (define @t1009 () (= @t535 @t727)) % 0.34/0.99 (define @t1010 () (@var "V_r2" $$unsorted)) % 0.34/0.99 (define @t1011 () (@var "V_r1" $$unsorted)) % 0.34/0.99 (define @t1012 () (tptp.c_Complex_Orcis @t1010 @t29)) % 0.34/0.99 (define @t1013 () (tptp.c_Complex_Orcis @t1011 @t31)) % 0.34/0.99 (define @t1014 () (@list @t29 @t1010 @t31 @t1011)) % 0.34/0.99 (define @t1015 () (@var "V_b_1" $$unsorted)) % 0.34/0.99 (define @t1016 () (@var "V_a_1" $$unsorted)) % 0.34/0.99 (define @t1017 () (@var "V_r_1" $$unsorted)) % 0.34/0.99 (define @t1018 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t1015)) % 0.34/0.99 (define @t1019 () (tptp.hAPP @t726 @t535)) % 0.34/0.99 (define @t1020 () (= @t527 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP @t1019 @t810) @t982))) % 0.34/0.99 (define @t1021 () (@list @t982)) % 0.34/0.99 (define @t1022 () (tptp.hAPP @t1019 @t315)) % 0.34/0.99 (define @t1023 () (tptp.hBOOL (tptp.hAPP @t560 @t3))) % 0.34/0.99 (define @t1024 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t535)) % 0.34/0.99 (define @t1025 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t315)) % 0.34/0.99 (define @t1026 () (@list @t535 @t560 @t315)) % 0.34/0.99 (define @t1027 () (tptp.c_Nat_OSuc @t509)) % 0.34/0.99 (define @t1028 () (tptp.hAPP @t723 @t224)) % 0.34/0.99 (define @t1029 () (tptp.c_Nat_OSuc @t523)) % 0.34/0.99 (define @t1030 () (tptp.c_Nat_OSuc @t318)) % 0.34/0.99 (define @t1031 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1030 @t1029)) % 0.34/0.99 (define @t1032 () (tptp.hAPP @t708 @t1029)) % 0.34/0.99 (define @t1033 () (tptp.hAPP @t710 @t1029)) % 0.34/0.99 (define @t1034 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1030 @t523)) % 0.34/0.99 (define @t1035 () (tptp.c_Nat_OSuc @t527)) % 0.34/0.99 (define @t1036 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t528 @t1035)) % 0.34/0.99 (define @t1037 () (tptp.c_Nat_OSuc @t1027)) % 0.34/0.99 (define @t1038 () (@list @t318 @t225)) % 0.34/0.99 (define @t1039 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1030 @t523)) % 0.34/0.99 (define @t1040 () (tptp.c_Nat_OSuc @t528)) % 0.34/0.99 (define @t1041 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t527 @t1040)) % 0.34/0.99 (define @t1042 () (= @t1041 @t935)) % 0.34/0.99 (define @t1043 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t1029)) % 0.34/0.99 (define @t1044 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1035 @t528)) % 0.34/0.99 (define @t1045 () (tptp.hAPP @t563 (tptp.c_Nat_OSuc @t535))) % 0.34/0.99 (define @t1046 () (tptp.hAPP @t1045 @t527)) % 0.34/0.99 (define @t1047 () (tptp.hAPP @t1045 @t528)) % 0.34/0.99 (define @t1048 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 @t1029)) % 0.34/0.99 (define @t1049 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1030 @t523)) % 0.34/0.99 (define @t1050 () (tptp.c_Nat_OSuc @t225)) % 0.34/0.99 (define @t1051 () (@var "V_nat_H" $$unsorted)) % 0.34/0.99 (define @t1052 () (@var "V_nat_H_1" $$unsorted)) % 0.34/0.99 (define @t1053 () (@var "V_nat_H_2" $$unsorted)) % 0.34/0.99 (define @t1054 () (@var "V_nat_2" $$unsorted)) % 0.34/0.99 (define @t1055 () (tptp.c_Nat_OSuc @t567)) % 0.34/0.99 (define @t1056 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t1029)) % 0.34/0.99 (define @t1057 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t1030 @t523)) % 0.34/0.99 (define @t1058 () (= @t527 @t1027)) % 0.34/0.99 (define @t1059 () (= @t528 @t1027)) % 0.34/0.99 (define @t1060 () (or (and @t1059 @t590) (and @t592 @t1058))) % 0.34/0.99 (define @t1061 () (tptp.hAPP @t697 (tptp.c_Nat_OSuc @t483))) % 0.34/0.99 (define @t1062 () (@list @t483 @t16 @t14)) % 0.34/0.99 (define @t1063 () (tptp.hAPP @t25 @t699)) % 0.34/0.99 (define @t1064 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1027 @t318)) % 0.34/0.99 (define @t1065 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1027 @t523)) % 0.34/0.99 (define @t1066 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t1029)) % 0.34/0.99 (define @t1067 () (tptp.c_Nat_OSuc @t226)) % 0.34/0.99 (define @t1068 () (tptp.c_Nat_OSuc @t876)) % 0.34/0.99 (define @t1069 () (@list @t318 @t226 @t224)) % 0.34/0.99 (define @t1070 () (tptp.c_Nat_OSuc @t822)) % 0.34/0.99 (define @t1071 () (= @t966 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t833 @t523)))) % 0.34/0.99 (define @t1072 () (=> @t874 @t1071)) % 0.34/0.99 (define @t1073 () (@var "B_N" $$unsorted)) % 0.34/0.99 (define @t1074 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t1073))) % 0.34/0.99 (define @t1075 () (@list @t1073)) % 0.34/0.99 (define @t1076 () (exists @t477 (and @t476 (forall @t571 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t956 @t473))))) % 0.34/0.99 (define @t1077 () (@list @t953 @t185)) % 0.34/0.99 (define @t1078 () (@var "B_q" $$unsorted)) % 0.34/0.99 (define @t1079 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t528 @t527)) % 0.34/0.99 (define @t1080 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t569))) % 0.34/0.99 (define @t1081 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t142)) % 0.34/0.99 (define @t1082 () (tptp.hAPP @t563 @t31)) % 0.34/0.99 (define @t1083 () (@var "T_1" $$unsorted)) % 0.34/0.99 (define @t1084 () (tptp.tc_Polynomial_Opoly @t1083)) % 0.34/0.99 (define @t1085 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1083)) % 0.34/0.99 (define @t1086 () (@list @t1083)) % 0.34/0.99 (define @t1087 () (@var "T_2" $$unsorted)) % 0.34/0.99 (define @t1088 () (tptp.tc_fun @t1087 @t1083)) % 0.34/0.99 (define @t1089 () (@list @t1087 @t1083)) % 0.34/0.99 (define @t1090 () (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 0.34/0.99 (define @t1091 () (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (define @t1092 () (tptp.class_Rings_Oidom @t1083)) % 0.34/0.99 (define @t1093 () (tptp.class_Rings_Olinordered__idom @t1083)) % 0.34/0.99 (define @t1094 () (tptp.class_Rings_Ocomm__semiring__0 @t1083)) % 0.34/0.99 (define @t1095 () (tptp.class_Rings_Ocomm__semiring__1 @t1083)) % 0.34/0.99 (define @t1096 () (tptp.class_Groups_Ocomm__monoid__add @t1083)) % 0.34/0.99 (define @t1097 () (tptp.class_Groups_Oab__group__add @t1083)) % 0.34/0.99 (define @t1098 () (tptp.class_Rings_Ocomm__ring__1 @t1083)) % 0.34/0.99 (define @t1099 () (tptp.class_Rings_Ocomm__ring @t1083)) % 0.34/0.99 (define @t1100 () (tptp.hBOOL (tptp.c_fequal @t65 @t174))) % 0.34/0.99 (define @t1101 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.hAPP @t754 tptp.v_z____) tptp.v_c____))) % 0.34/0.99 (define @t1102 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t1101)) % 0.34/0.99 (define @t1103 () (not @t1102)) % 0.34/0.99 (define @t1104 () (tptp.hAPP (tptp.hAPP @t22 @t8) @t9)) % 0.34/0.99 (define @t1105 () (= @t1101 @t1104)) % 0.34/0.99 (define @t1106 () (not @t1091)) % 0.34/0.99 (define @t1107 () (or @t1106 @t1105)) % 0.34/0.99 (define @t1108 () (@list false false)) % 0.34/0.99 (define @t1109 () (not @t281)) % 0.34/0.99 (define @t1110 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10 @t1104)) % 0.34/0.99 (define @t1111 () (= @t11 @t1110)) % 0.34/0.99 (define @t1112 () (not @t307)) % 0.34/0.99 (define @t1113 () (not @t1090)) % 0.34/0.99 (define @t1114 () (or @t1113 @t1112 @t1111)) % 0.34/0.99 (define @t1115 () (not @t1110)) % 0.34/0.99 (define @t1116 () (not @t1105)) % 0.34/0.99 (define @t1117 () (and @t1103 @t1105)) % 0.34/0.99 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 0.34/0.99 (assume @p2 (not (= tptp.v_c____ @t7))) % 0.34/0.99 (assume @p3 @t11) % 0.34/0.99 (assume @p4 (not (= tptp.v_p @t12))) % 0.34/0.99 (assume @p5 (forall @t21 (=> @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t19 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t17 @t15))))) % 0.34/0.99 (assume @p6 (forall @t21 (=> @t28 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t27 @t23)))) % 0.34/0.99 (assume @p7 (forall @t36 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq @t14 (tptp.c_Groups_Oabs__class_Oabs @t14 @t34) @t33)))) % 0.34/0.99 (assume @p8 (forall @t38 (=> @t37 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t16 @t16)))) % 0.34/0.99 (assume @p9 (forall @t40 (=> @t20 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t39) @t39)))) % 0.34/0.99 (assume @p10 (forall @t43 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t41 @t16) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t41 @t13))))) % 0.34/0.99 (assume @p11 (forall @t36 (=> @t35 (= (tptp.c_Groups_Oabs__class_Oabs @t14 @t33) @t33)))) % 0.34/0.99 (assume @p12 (forall @t36 (=> @t49 @t48))) % 0.34/0.99 (assume @p13 (forall @t40 (=> @t49 (= (tptp.hAPP @t44 @t32) @t50)))) % 0.34/0.99 (assume @p14 @t53) % 0.34/0.99 (assume @p15 (forall @t40 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t31 @t32)))) % 0.34/0.99 (assume @p16 @t54) % 0.34/0.99 (assume @p17 (forall @t57 (=> @t20 (= (tptp.c_RealVector_Onorm__class_Onorm @t14 @t56) @t55)))) % 0.34/0.99 (assume @p18 (forall @t36 (=> (and @t62 @t61) @t60))) % 0.34/0.99 (assume @p19 (forall @t40 (=> @t63 (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t56 @t31) @t56)))) % 0.34/0.99 (assume @p20 (forall @t64 (=> @t61 (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t56 @t13) @t56)))) % 0.34/0.99 (assume @p21 (forall @t68 (=> @t67 (= (= @t56 @t65) @t66)))) % 0.34/0.99 (assume @p22 (forall @t40 (=> @t69 (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t31 @t56) @t56)))) % 0.34/0.99 (assume @p23 (forall @t72 (= (tptp.hAPP @t71 @t70) (tptp.hAPP (tptp.hAPP @t22 @t70) @t41)))) % 0.34/0.99 (assume @p24 (forall @t68 (=> @t20 (= (= @t73 @t55) @t66)))) % 0.34/0.99 (assume @p25 (forall @t79 (= (tptp.hAPP (tptp.hAPP @t22 (tptp.hAPP @t78 @t75)) @t74) (tptp.hAPP @t78 (tptp.hAPP @t76 @t74))))) % 0.34/0.99 (assume @p26 (forall @t82 (=> @t61 (=> @t81 @t60)))) % 0.34/0.99 (assume @p27 (forall @t93 (=> @t63 (=> @t92 (= @t90 @t88))))) % 0.34/0.99 (assume @p28 (forall @t96 (=> @t63 (=> @t92 (= @t95 @t94))))) % 0.34/0.99 (assume @p29 (forall @t102 (=> @t63 (=> @t101 (=> (= @t29 @t99) (= @t98 @t31)))))) % 0.34/0.99 (assume @p30 (forall @t103 (=> @t63 (=> @t101 (=> (= @t99 @t29) (= @t31 @t98)))))) % 0.34/0.99 (assume @p31 (forall @t104 (=> @t63 (= (tptp.hAPP @t46 @t98) (tptp.c_Rings_Oinverse__class_Odivide @t14 @t47 @t97))))) % 0.34/0.99 (assume @p32 (forall @t108 (=> @t61 (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t18 @t105) (tptp.c_Groups_Oplus__class_Oplus @t14 @t107 @t106))))) % 0.34/0.99 (assume @p33 (forall @t104 (=> @t63 (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t34 @t97) (tptp.c_Groups_Oplus__class_Oplus @t14 @t109 @t98))))) % 0.34/0.99 (assume @p34 (forall @t36 (=> @t112 (=> @t111 (or @t110 @t80))))) % 0.34/0.99 (assume @p35 (forall @t36 (=> @t112 (=> @t113 (=> @t81 (not @t111)))))) % 0.34/0.99 (assume @p36 (forall @t117 (=> (tptp.class_Rings_Oring__no__zero__divisors @t14) (= (= @t116 @t56) (or @t115 @t114))))) % 0.34/0.99 (assume @p37 (forall @t38 (=> @t28 (= (tptp.hAPP @t25 @t56) @t56)))) % 0.34/0.99 (assume @p38 (forall @t40 (=> @t28 @t118))) % 0.34/0.99 (assume @p39 (forall @t40 (=> @t119 @t118))) % 0.34/0.99 (assume @p40 (forall @t64 (=> @t28 (= (tptp.hAPP @t120 @t13) @t56)))) % 0.34/0.99 (assume @p41 (forall (@list @t29 @t14) (=> @t28 (= (tptp.hAPP @t120 @t29) @t56)))) % 0.34/0.99 (assume @p42 (forall @t40 (=> @t119 @t121))) % 0.34/0.99 (assume @p43 (forall @t40 (=> @t123 @t122))) % 0.34/0.99 (assume @p44 (forall @t40 (=> @t124 @t122))) % 0.34/0.99 (assume @p45 (forall @t127 (=> @t126 (= (= @t56 @t125) @t115)))) % 0.34/0.99 (assume @p46 (forall @t40 (=> @t123 @t128))) % 0.34/0.99 (assume @p47 (forall @t40 (=> @t124 @t128))) % 0.34/0.99 (assume @p48 (forall @t131 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t129) @t130))) % 0.34/0.99 (assume @p49 (forall @t132 (= (tptp.hAPP (tptp.hAPP @t22 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t77 @t75)) @t70) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t78 @t70) (tptp.hAPP @t76 @t70))))) % 0.34/0.99 (assume @p50 (forall @t127 (=> @t35 (= (= @t133 @t56) @t115)))) % 0.34/0.99 (assume @p51 (forall @t57 (=> @t35 (= (tptp.c_Groups_Oabs__class_Oabs @t14 @t56) @t56)))) % 0.34/0.99 (assume @p52 (forall @t68 (=> @t20 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t73 @t55) @t66)))) % 0.34/0.99 (assume @p53 (forall @t36 (=> @t139 (=> (or (and @t138 @t137) (and @t136 @t135)) @t134)))) % 0.34/0.99 (assume @p54 (forall @t36 (=> @t141 (=> (or (and @t138 @t135) (and @t136 @t137)) @t140)))) % 0.34/0.99 (assume @p55 (forall @t150 (=> @t149 (=> @t148 (=> @t147 (=> @t135 @t146)))))) % 0.34/0.99 (assume @p56 (forall @t150 (=> @t149 (=> @t148 (=> @t147 (=> @t138 @t146)))))) % 0.34/0.99 (assume @p57 (forall @t157 (=> @t141 (=> @t156 (=> @t155 @t154))))) % 0.34/0.99 (assume @p58 (forall @t157 (=> @t141 (=> @t156 (=> @t155 @t159))))) % 0.34/0.99 (assume @p59 (forall @t104 (=> (tptp.class_Rings_Oordered__comm__semiring @t14) @t160))) % 0.34/0.99 (assume @p60 (forall @t104 (=> @t149 @t160))) % 0.34/0.99 (assume @p61 (forall @t104 (=> @t149 (=> @t148 (=> @t145 @t159))))) % 0.34/0.99 (assume @p62 (forall @t36 (=> @t141 (=> @t136 (=> @t137 @t140))))) % 0.34/0.99 (assume @p63 (forall @t36 (=> @t139 (=> @t136 (=> @t135 @t134))))) % 0.34/0.99 (assume @p64 (forall @t36 (=> @t139 (=> @t138 (=> @t137 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t161 @t56)))))) % 0.34/0.99 (assume @p65 (forall @t36 (=> @t139 (=> @t138 (=> @t137 @t134))))) % 0.34/0.99 (assume @p66 (forall @t36 (=> @t139 (=> @t138 (=> @t135 @t140))))) % 0.34/0.99 (assume @p67 (forall @t117 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t116 @t56) @t166)))) % 0.34/0.99 (assume @p68 (forall @t117 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t116) @t168)))) % 0.34/0.99 (assume @p69 (forall @t40 (=> @t169 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t50)))) % 0.34/0.99 (assume @p70 (forall @t36 (=> @t170 (=> @t136 (=> @t137 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t34 @t56)))))) % 0.34/0.99 (assume @p71 (forall @t102 (=> @t170 (=> @t145 (=> @t156 @t172))))) % 0.34/0.99 (assume @p72 (forall @t104 (=> @t170 (=> @t138 (=> @t173 @t172))))) % 0.34/0.99 (assume @p73 (forall @t177 (=> @t170 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t65) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t174) (= (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t65 @t174) @t56) @t176)))))) % 0.34/0.99 (assume @p74 (forall @t36 (=> @t170 (=> @t138 (=> @t135 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t34)))))) % 0.34/0.99 (assume @p75 (forall @t127 (=> @t126 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t125 @t56) @t163)))) % 0.34/0.99 (assume @p76 (forall @t127 (=> @t126 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t125) @t165)))) % 0.34/0.99 (assume @p77 (forall @t40 (=> @t35 (=> @t138 @t178)))) % 0.34/0.99 (assume @p78 (forall @t127 (=> @t35 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t133 @t56) @t115)))) % 0.34/0.99 (assume @p79 (forall @t40 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t32)))) % 0.34/0.99 (assume @p80 (forall @t36 (=> (tptp.class_Rings_Oordered__ring__abs @t14) (=> (and (or @t138 @t136) (or @t135 @t137)) @t48)))) % 0.34/0.99 (assume @p81 (forall @t21 (=> @t49 (=> @t181 (= (tptp.hAPP (tptp.hAPP @t24 (tptp.c_Groups_Oabs__class_Oabs @t14 @t13)) @t16) (tptp.c_Groups_Oabs__class_Oabs @t14 @t180)))))) % 0.34/0.99 (assume @p82 (forall @t21 (=> @t184 (=> (not @t183) @t182)))) % 0.34/0.99 (assume @p83 (forall (@list @t65 @t1 @t2 @t14 @t185) (=> @t188 (=> @t187 (tptp.c_Orderings_Oord__class_Oless__eq @t185 (tptp.hAPP @t2 @t65) (tptp.hAPP @t1 @t65)))))) % 0.34/0.99 (assume @p84 (forall @t191 (=> @t190 (=> @t182 (=> @t189 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t41 @t16)))))) % 0.34/0.99 (assume @p85 (forall @t193 (=> @t190 (=> @t182 (=> @t183 @t192))))) % 0.34/0.99 (assume @p86 (forall @t195 (=> @t37 (=> @t183 (=> @t194 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t16 @t41)))))) % 0.34/0.99 (assume @p87 (forall @t21 (=> @t190 (=> @t183 (=> @t182 @t192))))) % 0.34/0.99 (assume @p88 (forall @t157 (=> @t190 (=> @t156 (=> @t197 @t196))))) % 0.34/0.99 (assume @p89 (forall @t104 (=> @t199 (=> @t148 (=> @t197 @t198))))) % 0.34/0.99 (assume @p90 (forall @t104 (=> @t190 (=> @t200 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t97 @t29) @t196))))) % 0.34/0.99 (assume @p91 (forall @t104 (=> @t199 (=> @t200 (=> @t173 @t198))))) % 0.34/0.99 (assume @p92 (forall @t205 (=> @t190 (=> @t204 @t203)))) % 0.34/0.99 (assume @p93 (forall @t21 (=> @t37 (=> @t192 @t183)))) % 0.34/0.99 (assume @p94 (forall @t177 (=> @t190 (= @t201 (and @t202 @t204))))) % 0.34/0.99 (assume @p95 (forall @t21 (=> @t184 (or @t183 @t182)))) % 0.34/0.99 (assume @p96 (forall @t206 (=> @t188 (= @t187 (forall @t6 (tptp.c_Orderings_Oord__class_Oless__eq @t185 @t5 @t4)))))) % 0.34/0.99 (assume @p97 (forall @t208 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t70) (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 @t70 @t41)) @t207)))) % 0.34/0.99 (assume @p98 (forall @t104 (=> (tptp.class_Groups_Oab__semigroup__mult @t14) (= (tptp.hAPP (tptp.hAPP @t24 @t47) @t97) (tptp.hAPP @t46 @t158))))) % 0.34/0.99 (assume @p99 (forall @t157 (=> @t211 (=> (= @t210 @t209) @t197)))) % 0.34/0.99 (assume @p100 (forall @t104 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t14) @t212))) % 0.34/0.99 (assume @p101 (forall @t104 (=> @t211 @t212))) % 0.34/0.99 (assume @p102 (forall (@list @t84 @t85 @t83 @t14) (=> @t211 (= (= @t215 @t214) @t213)))) % 0.34/0.99 (assume @p103 (forall @t217 (=> @t211 (= (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t85 @t83) @t216) @t213)))) % 0.34/0.99 (assume @p104 (forall @t104 (=> (tptp.class_Groups_Oab__semigroup__add @t14) @t220))) % 0.34/0.99 (assume @p105 (forall @t72 (=> @t223 (=> @t222 @t221)))) % 0.34/0.99 (assume @p106 (forall @t227 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t225 @t226) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t226 @t224) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t225 @t224))))) % 0.34/0.99 (assume @p107 (forall @t72 (or @t223 @t222))) % 0.34/0.99 (assume @p108 (forall @t228 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t70 @t70))) % 0.34/0.99 (assume @p109 (forall @t40 (=> @t35 (= (tptp.c_Groups_Oabs__class_Oabs @t14 @t32) @t32)))) % 0.34/0.99 (assume @p110 (forall @t103 (=> @t231 (=> @t230 @t148)))) % 0.34/0.99 (assume @p111 (forall @t233 (=> @t231 (=> @t232 @t148)))) % 0.34/0.99 (assume @p112 (forall @t150 (=> @t235 (=> @t148 (=> @t147 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t171 @t234)))))) % 0.34/0.99 (assume @p113 (forall @t104 (=> @t235 (=> @t148 @t230)))) % 0.34/0.99 (assume @p114 (forall @t104 (=> @t235 (=> @t148 @t232)))) % 0.34/0.99 (assume @p115 (forall @t93 (=> @t231 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t214 @t237) @t236)))) % 0.34/0.99 (assume @p116 (forall @t239 (=> @t231 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t216 @t238) @t236)))) % 0.34/0.99 (assume @p117 (forall (@list @t97 @t29 @t240 @t31 @t14) (=> (tptp.class_Rings_Osemiring @t14) (= (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t46 @t240) (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t143 @t240) @t97)) (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t241 @t240) @t97))))) % 0.34/0.99 (assume @p118 (forall @t108 (=> @t28 (= (tptp.hAPP (tptp.hAPP @t24 @t18) @t105) (tptp.c_Groups_Oplus__class_Oplus @t14 @t243 @t242))))) % 0.34/0.99 (assume @p119 (forall @t246 (=> @t28 (= (tptp.hAPP (tptp.hAPP @t24 (tptp.c_Groups_Oplus__class_Oplus @t14 @t31 @t244)) @t29) (tptp.c_Groups_Oplus__class_Oplus @t14 @t47 @t245))))) % 0.34/0.99 (assume @p120 (forall @t104 (=> (tptp.class_Rings_Ocomm__semiring @t14) @t247))) % 0.34/0.99 (assume @p121 (forall @t252 (=> @t28 (= (tptp.hAPP @t249 @t18) (tptp.c_Groups_Oplus__class_Oplus @t14 @t251 @t250))))) % 0.34/0.99 (assume @p122 (forall @t255 (=> @t28 (= (tptp.hAPP @t46 (tptp.c_Groups_Oplus__class_Oplus @t14 @t29 @t253)) (tptp.c_Groups_Oplus__class_Oplus @t14 @t47 @t254))))) % 0.34/0.99 (assume @p123 (forall @t36 (=> @t35 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t32 @t29) @t148)))) % 0.34/0.99 (assume @p124 (forall (@list @t13 @t16 @t97 @t14) (=> @t20 (=> @t257 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t17 (tptp.hAPP @t256 @t15)) (= @t16 @t56)))))) % 0.34/0.99 (assume @p125 (forall @t266 (=> @t265 (=> @t264 (=> @t263 (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t262 @t261) (tptp.c_Rings_Oinverse__class_Odivide @t14 (tptp.c_Groups_Oplus__class_Oplus @t14 @t260 @t259) @t258))))))) % 0.34/0.99 (assume @p126 (forall @t271 (=> @t265 (=> @t263 (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t270 @t13) (tptp.c_Rings_Oinverse__class_Odivide @t14 @t269 @t41)))))) % 0.34/0.99 (assume @p127 (forall @t191 (=> @t62 (=> @t264 (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t262 @t41) @t272))))) % 0.34/0.99 (assume @p128 (forall @t271 (=> @t265 (=> @t263 (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t16 @t274) (tptp.c_Rings_Oinverse__class_Odivide @t14 (tptp.c_Groups_Oplus__class_Oplus @t14 @t273 @t13) @t41)))))) % 0.34/0.99 (assume @p129 (forall @t275 (=> @t62 (=> @t264 (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t41 @t262) @t272))))) % 0.34/0.99 (assume @p130 (forall @t177 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t277 @t56) @t176)))) % 0.34/0.99 (assume @p131 (forall @t21 (=> @t169 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t279)))) % 0.34/0.99 (assume @p132 (forall @t82 (=> @t281 (=> @t81 @t280)))) % 0.34/0.99 (assume @p133 (forall @t217 (=> @t62 (= @t90 (and (=> @t92 @t88) @t282))))) % 0.34/0.99 (assume @p134 (forall @t283 (=> @t62 (= @t95 (and (=> @t92 @t94) @t282))))) % 0.34/0.99 (assume @p135 (not (= @t284 @t12))) % 0.34/0.99 (assume @p136 (forall @t288 (=> @t287 (= (= (tptp.hAPP @t286 @t85) (tptp.hAPP @t286 @t83)) @t285)))) % 0.34/0.99 (assume @p137 (forall @t288 (=> @t287 (= (= (tptp.hAPP (tptp.hAPP @t22 @t85) @t84) (tptp.hAPP (tptp.hAPP @t22 @t83) @t84)) @t285)))) % 0.34/0.99 (assume @p138 (forall (@list @t13 @t16 @t97) (=> @t257 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t290 (tptp.hAPP @t256 @t289)) (= @t16 @t55))))) % 0.34/0.99 (assume @p139 (forall @t38 (=> @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t17)))) % 0.34/0.99 (assume @p140 (forall @t294 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t65 @t174)) (and (or @t293 @t292) (or @t291 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t174 @t55)))))) % 0.34/0.99 (assume @p141 (forall @t294 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t298 (tptp.hAPP @t296 @t174)) @t55) (and @t295 (= @t174 @t55))))) % 0.34/0.99 (assume @p142 (forall (@list @t70 @t41 @t13 @t16 @t14) (=> @t62 (= (tptp.hAPP (tptp.hAPP @t24 @t262) (tptp.c_Rings_Oinverse__class_Odivide @t14 @t41 @t70)) (tptp.c_Rings_Oinverse__class_Odivide @t14 @t260 (tptp.hAPP @t179 @t70)))))) % 0.34/0.99 (assume @p143 (forall @t36 (=> @t299 @t280))) % 0.34/0.99 (assume @p144 (forall @t177 (=> @t167 (= (= @t277 @t56) @t176)))) % 0.34/0.99 (assume @p145 (forall @t104 (=> @t299 (=> @t148 (=> @t155 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t98 @t109)))))) % 0.34/0.99 (assume @p146 (forall @t104 (=> @t299 (=> @t148 (=> @t145 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t109 @t98)))))) % 0.34/0.99 (assume @p147 (forall @t117 (=> @t299 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t300 @t56) @t166)))) % 0.34/0.99 (assume @p148 (forall @t117 (=> @t299 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t300) @t168)))) % 0.34/0.99 (assume @p149 (forall (@list @t301 @t65 @t304 @t174 @t14) (=> @t265 (=> @t306 (=> (not (= @t304 @t56)) (= (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t65 @t174) (tptp.c_Rings_Oinverse__class_Odivide @t14 @t301 @t304)) (= @t305 @t303))))))) % 0.34/0.99 (assume @p150 (forall @t103 (=> @t62 (=> @t101 (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t153 @t152) @t59))))) % 0.34/0.99 (assume @p151 (forall @t103 (=> @t62 (=> @t101 (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t99 @t158) @t59))))) % 0.34/0.99 (assume @p152 @t307) % 0.34/0.99 (assume @p153 (forall (@list @t142 @t97 @t29 @t31 @t129 @t14) (=> @t309 (=> (not (= @t129 @t56)) (=> (and @t200 (not (= @t97 @t142))) (not (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t31 (tptp.hAPP @t308 @t97)) (tptp.c_Groups_Oplus__class_Oplus @t14 @t29 (tptp.hAPP @t308 @t142))))))))) % 0.34/0.99 (assume @p154 (forall @t311 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.hAPP @t310 @t31) (tptp.hAPP @t310 @t129)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t31 @t129)))) % 0.34/0.99 (assume @p155 (forall @t195 (=> @t312 (= (tptp.hAPP @t25 (tptp.c_Groups_Oplus__class_Oplus @t14 @t13 @t41)) (tptp.c_Groups_Oplus__class_Oplus @t14 @t26 @t260))))) % 0.34/0.99 (assume @p156 (forall @t317 (=> @t309 (= (and (not @t285) (not @t316)) (not (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t87 (tptp.hAPP @t313 @t315)) (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t86 @t315) @t314))))))) % 0.34/0.99 (assume @p157 (forall @t104 (=> @t312 @t247))) % 0.34/0.99 (assume @p158 (forall (@list @t29 @t318 @t31 @t14) (=> @t312 (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t319 (tptp.hAPP @t143 @t318)) (tptp.hAPP @t241 @t318))))) % 0.34/0.99 (assume @p159 (forall (@list @t304 @t65 @t174 @t301 @t14) (=> @t309 (= (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t303 @t305) (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t302 @t304) (tptp.hAPP @t276 @t174))) (or (= @t301 @t65) (= @t174 @t304)))))) % 0.34/0.99 (assume @p160 (forall @t40 (=> @t312 @t128))) % 0.34/0.99 (assume @p161 (forall @t21 (=> @t184 (=> @t323 (=> @t321 @t320))))) % 0.34/0.99 (assume @p162 (forall @t21 (=> @t37 (=> @t322 (not @t320))))) % 0.34/0.99 (assume @p163 (forall @t191 (=> @t190 (=> @t320 @t325)))) % 0.34/0.99 (assume @p164 (forall @t195 (=> @t37 (=> @t322 @t327)))) % 0.34/0.99 (assume @p165 (forall @t157 (=> @t190 (=> @t329 (=> @t197 @t328))))) % 0.34/0.99 (assume @p166 (forall @t104 (=> @t199 (=> @t331 (=> @t197 @t330))))) % 0.34/0.99 (assume @p167 (forall @t104 (=> @t190 (=> @t200 (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t97 @t29) @t328))))) % 0.34/0.99 (assume @p168 (forall @t104 (=> @t199 (=> @t200 (=> @t332 @t330))))) % 0.34/0.99 (assume @p169 (forall @t82 (=> @t190 (=> @t329 (not @t331))))) % 0.34/0.99 (assume @p170 (forall @t36 (=> @t37 (=> @t331 (not @t329))))) % 0.34/0.99 (assume @p171 (forall @t21 (=> @t190 (=> @t322 (not (= @t13 @t16)))))) % 0.34/0.99 (assume @p172 (forall @t21 (=> @t190 (=> @t322 @t321)))) % 0.34/0.99 (assume @p173 (forall @t21 (=> @t49 @t333))) % 0.34/0.99 (assume @p174 (forall @t21 (=> @t184 @t333))) % 0.34/0.99 (assume @p175 (forall @t205 (=> @t184 (=> (not @t337) @t336)))) % 0.34/0.99 (assume @p176 (forall @t21 (=> @t184 (or @t322 @t192 @t320)))) % 0.34/0.99 (assume @p177 (forall @t177 (=> @t184 (= @t335 (or @t337 @t201))))) % 0.34/0.99 (assume @p178 (forall @t177 (=> @t184 (= @t338 (or @t334 @t337))))) % 0.34/0.99 (assume @p179 (forall @t38 (=> @t37 (not (tptp.c_Orderings_Oord__class_Oless @t14 @t16 @t16))))) % 0.34/0.99 (assume @p180 (forall @t191 (=> @t190 (=> @t182 @t325)))) % 0.34/0.99 (assume @p181 (forall @t195 (=> @t37 (=> @t183 @t327)))) % 0.34/0.99 (assume @p182 (forall @t191 (=> @t190 (=> @t320 (=> @t189 @t324))))) % 0.34/0.99 (assume @p183 (forall @t195 (=> @t37 (=> @t322 (=> @t194 @t326))))) % 0.34/0.99 (assume @p184 (forall @t82 (=> @t190 (=> @t156 (=> @t339 @t329))))) % 0.34/0.99 (assume @p185 (forall @t36 (=> @t190 (=> @t148 (=> @t339 @t331))))) % 0.34/0.99 (assume @p186 (forall @t21 (=> @t190 (=> @t183 (or @t322 @t192))))) % 0.34/0.99 (assume @p187 (forall @t177 (=> @t184 (=> @t202 @t336)))) % 0.34/0.99 (assume @p188 (forall @t21 (=> @t37 (=> @t322 @t183)))) % 0.34/0.99 (assume @p189 (forall @t193 (=> @t184 (=> @t182 @t323)))) % 0.34/0.99 (assume @p190 (forall @t36 (=> @t190 (=> @t339 (=> @t156 @t329))))) % 0.34/0.99 (assume @p191 (forall @t36 (=> @t190 (=> @t339 (=> @t148 @t331))))) % 0.34/0.99 (assume @p192 (forall @t177 (=> @t184 (=> @t335 @t203)))) % 0.34/0.99 (assume @p193 (forall @t193 (=> @t184 (=> (not @t182) @t322)))) % 0.34/0.99 (assume @p194 (forall @t21 (=> @t184 (=> @t323 @t182)))) % 0.34/0.99 (assume @p195 (forall @t177 (=> @t190 (= @t202 (or @t334 @t201))))) % 0.34/0.99 (assume @p196 (forall @t177 (=> @t37 (= @t334 (and @t202 (not @t204)))))) % 0.34/0.99 (assume @p197 (forall @t177 (=> @t190 (= @t334 (and @t202 @t338))))) % 0.34/0.99 (assume @p198 (forall @t21 (=> @t184 (or @t183 @t320)))) % 0.34/0.99 (assume @p199 (forall @t177 (=> @t184 (= (not @t202) @t337)))) % 0.34/0.99 (assume @p200 (forall @t177 (=> @t184 (= @t335 @t204)))) % 0.34/0.99 (assume @p201 (forall @t103 (=> @t231 (=> @t340 @t331)))) % 0.34/0.99 (assume @p202 (forall @t233 (=> @t231 (=> @t341 @t331)))) % 0.34/0.99 (assume @p203 (forall @t150 (=> @t345 (=> @t331 @t344)))) % 0.34/0.99 (assume @p204 (forall @t104 (=> @t345 (=> @t331 @t340)))) % 0.34/0.99 (assume @p205 (forall @t104 (=> @t345 (=> @t331 @t341)))) % 0.34/0.99 (assume @p206 (forall @t93 (=> @t231 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t214 @t237) @t346)))) % 0.34/0.99 (assume @p207 (forall @t239 (=> @t231 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t216 @t238) @t346)))) % 0.34/0.99 (assume @p208 (forall @t294 (= @t348 (or @t347 @t201)))) % 0.34/0.99 (assume @p209 (forall @t294 (= @t347 (and @t348 @t338)))) % 0.34/0.99 (assume @p210 (forall @t349 (= (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t298)) @t295))) % 0.34/0.99 (assume @p211 (forall @t40 (=> @t169 (not (tptp.c_Orderings_Oord__class_Oless @t14 @t50 @t56))))) % 0.34/0.99 (assume @p212 (forall @t239 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t87 @t314) @t353)))) % 0.34/0.99 (assume @p213 (forall @t93 (=> @t167 (= @t357 @t353)))) % 0.34/0.99 (assume @p214 (forall @t93 (=> @t167 (=> @t352 (= @t357 @t346))))) % 0.34/0.99 (assume @p215 (forall @t36 (=> @t361 (=> @t360 (=> @t359 @t358))))) % 0.34/0.99 (assume @p216 (forall @t36 (=> @t361 (=> @t360 (=> @t363 @t362))))) % 0.34/0.99 (assume @p217 (forall @t36 (=> @t361 (=> @t360 (=> @t363 (tptp.c_Orderings_Oord__class_Oless @t14 @t161 @t56)))))) % 0.34/0.99 (assume @p218 (forall @t36 (=> @t361 (=> @t358 @t364)))) % 0.34/0.99 (assume @p219 (forall @t82 (=> @t361 (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t161) @t364)))) % 0.34/0.99 (assume @p220 (forall @t93 (=> @t167 (=> @t351 (= @t357 @t350))))) % 0.34/0.99 (assume @p221 (forall @t36 (=> @t361 (=> @t365 (=> @t359 @t362))))) % 0.34/0.99 (assume @p222 (forall @t36 (=> @t167 (=> @t365 (=> @t363 @t358))))) % 0.34/0.99 (assume @p223 (forall @t104 (=> @t361 (=> @t331 (=> @t367 @t366))))) % 0.34/0.99 (assume @p224 (forall @t104 (=> @t361 @t369))) % 0.34/0.99 (assume @p225 (forall @t104 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t14) @t369))) % 0.34/0.99 (assume @p226 (forall @t157 (=> @t167 (=> @t329 (=> @t370 @t366))))) % 0.34/0.99 (assume @p227 (forall @t157 (=> @t167 (=> @t329 (=> @t370 @t368))))) % 0.34/0.99 (assume @p228 (forall @t127 (=> @t126 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t125) @t371)))) % 0.34/0.99 (assume @p229 (forall @t127 (=> @t126 @t373))) % 0.34/0.99 (assume @p230 (forall @t36 (=> @t170 (=> @t360 @t375)))) % 0.34/0.99 (assume @p231 (forall @t104 (=> @t378 (=> @t360 @t377)))) % 0.34/0.99 (assume @p232 (forall @t36 (=> @t170 (=> @t365 @t380)))) % 0.34/0.99 (assume @p233 (forall @t150 (=> @t345 (=> @t148 @t344)))) % 0.34/0.99 (assume @p234 (forall @t150 (=> @t345 (=> @t331 (=> @t147 @t342))))) % 0.34/0.99 (assume @p235 (forall @t117 (=> @t299 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t300) (or (and @t371 @t382) (and @t372 @t381)))))) % 0.34/0.99 (assume @p236 (forall @t117 (=> @t299 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t300 @t56) (or (and @t371 @t381) (and @t372 @t382)))))) % 0.34/0.99 (assume @p237 (forall @t21 (=> @t281 (=> @t385 (=> @t384 @t383))))) % 0.34/0.99 (assume @p238 (forall @t21 (=> @t281 (=> @t385 (=> @t387 @t386))))) % 0.34/0.99 (assume @p239 (forall @t21 (=> @t281 (=> @t388 (=> @t384 @t386))))) % 0.34/0.99 (assume @p240 (forall @t21 (=> @t281 (=> @t388 (=> @t387 @t383))))) % 0.34/0.99 (assume @p241 (forall @t104 (=> @t281 (=> @t331 (=> @t367 @t389))))) % 0.34/0.99 (assume @p242 (forall @t157 (=> @t281 (=> @t329 (=> @t370 @t389))))) % 0.34/0.99 (assume @p243 (forall @t40 (=> @t35 (not (tptp.c_Orderings_Oord__class_Oless @t14 @t32 @t56))))) % 0.34/0.99 (assume @p244 (forall @t127 (=> @t35 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t133) (not @t115))))) % 0.34/0.99 (assume @p245 (forall @t40 (=> @t35 (=> @t360 @t178)))) % 0.34/0.99 (assume @p246 (forall @t391 (=> @t49 (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t32 @t97) (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t30 @t142) (tptp.c_Orderings_Oord__class_Oless @t14 @t45 @t390)))))) % 0.34/0.99 (assume @p247 (forall @t395 (=> @t394 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t393 @t392) @t347)))) % 0.34/0.99 (assume @p248 (forall @t399 (=> @t398 (=> @t397 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t396))))) % 0.34/0.99 (assume @p249 (forall (@list @t13 @t16 @t41) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t41) (=> @t400 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t71 @t16) (tptp.hAPP @t71 @t13)))))) % 0.34/0.99 (assume @p250 (forall @t38 (=> @t20 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t17 @t55))))) % 0.34/0.99 (assume @p251 (forall @t103 (=> @t361 (=> @t154 @t401)))) % 0.34/0.99 (assume @p252 (forall @t233 (=> @t361 (=> @t159 @t401)))) % 0.34/0.99 (assume @p253 (forall @t103 (=> @t361 @t403))) % 0.34/0.99 (assume @p254 (forall @t103 (=> @t404 @t403))) % 0.34/0.99 (assume @p255 (forall @t233 (=> @t361 @t405))) % 0.34/0.99 (assume @p256 (forall @t233 (=> @t404 @t405))) % 0.34/0.99 (assume @p257 (forall @t150 (=> @t361 (=> @t148 (=> @t343 (=> @t360 @t407)))))) % 0.34/0.99 (assume @p258 (forall @t150 (=> @t361 (=> @t331 (=> @t147 (=> @t138 (=> @t367 @t406))))))) % 0.34/0.99 (assume @p259 (forall @t150 (=> @t361 (=> @t331 (=> @t343 (=> @t138 @t407)))))) % 0.34/0.99 (assume @p260 (forall @t150 (=> @t361 (=> @t331 (=> @t343 (=> @t359 @t407)))))) % 0.34/0.99 (assume @p261 (forall @t93 (=> @t167 (=> @t351 (= @t408 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t83 @t85)))))) % 0.34/0.99 (assume @p262 (forall @t93 (=> @t167 (=> @t352 (= @t408 @t236))))) % 0.34/0.99 (assume @p263 (forall @t36 (=> @t170 (=> @t136 @t380)))) % 0.34/0.99 (assume @p264 (forall @t36 (=> @t170 (=> @t365 (=> @t137 @t379))))) % 0.34/0.99 (assume @p265 (forall @t104 (=> @t170 (=> @t138 @t377)))) % 0.34/0.99 (assume @p266 (forall @t104 (=> @t170 (=> @t360 (=> @t173 @t376))))) % 0.34/0.99 (assume @p267 (forall @t36 (=> @t170 (=> @t138 @t375)))) % 0.34/0.99 (assume @p268 (forall @t36 (=> @t170 (=> @t360 (=> @t135 @t374))))) % 0.34/0.99 (assume @p269 (forall @t177 (=> @t167 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t277) (or @t409 @t306))))) % 0.34/0.99 (assume @p270 (forall @t21 (=> @t169 (not (tptp.c_Orderings_Oord__class_Oless @t14 @t279 @t56))))) % 0.34/0.99 (assume @p271 (forall @t21 (=> @t281 (=> @t181 (=> @t384 @t410))))) % 0.34/0.99 (assume @p272 (forall @t21 (=> @t281 (=> @t181 (=> @t387 @t411))))) % 0.34/0.99 (assume @p273 (forall @t415 (=> @t281 (=> @t385 (=> @t183 (=> @t414 (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t70 @t41) @t413))))))) % 0.34/0.99 (assume @p274 (forall @t415 (=> @t281 (=> @t181 (=> @t322 (=> @t414 (=> @t416 @t413))))))) % 0.34/0.99 (assume @p275 (forall @t415 (=> @t281 (=> @t181 (=> @t183 (=> @t414 (=> @t416 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t270 @t412)))))))) % 0.34/0.99 (assume @p276 (forall @t21 (=> @t281 (=> @t417 (=> @t384 @t411))))) % 0.34/0.99 (assume @p277 (forall @t21 (=> @t281 (=> @t417 (=> @t387 @t410))))) % 0.34/0.99 (assume @p278 (forall @t217 (=> @t299 (= @t422 (and (=> @t352 @t421) (=> @t420 (and (=> @t351 @t419) (=> @t418 @t372)))))))) % 0.34/0.99 (assume @p279 (forall @t283 (=> @t299 (= @t423 (and (=> @t352 @t419) (=> @t420 (and (=> @t351 @t421) (=> @t418 @t371)))))))) % 0.34/0.99 (assume @p280 (forall @t93 (=> @t281 (=> @t352 (= @t422 @t421))))) % 0.34/0.99 (assume @p281 (forall @t96 (=> @t281 (=> @t352 (= @t423 @t419))))) % 0.34/0.99 (assume @p282 (forall @t191 (=> @t281 (=> @t384 (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t16 @t268) (tptp.c_Orderings_Oord__class_Oless @t14 @t262 @t41)))))) % 0.34/0.99 (assume @p283 (forall @t275 (=> @t281 (=> @t384 (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t268 @t16) (tptp.c_Orderings_Oord__class_Oless @t14 @t41 @t262)))))) % 0.34/0.99 (assume @p284 (forall @t93 (=> @t281 (=> @t351 (= @t422 @t419))))) % 0.34/0.99 (assume @p285 (forall @t96 (=> @t281 (=> @t351 (= @t423 @t421))))) % 0.34/0.99 (assume @p286 (forall @t157 (=> @t281 (=> @t329 (=> @t367 @t426))))) % 0.34/0.99 (assume @p287 (forall @t104 (=> @t281 (=> @t331 (=> @t370 @t426))))) % 0.34/0.99 (assume @p288 (forall @t193 (=> @t299 (=> @t384 (= (tptp.c_Rings_Oinverse__class_Odivide @t14 (tptp.c_Groups_Oabs__class_Oabs @t14 @t16) @t13) (tptp.c_Groups_Oabs__class_Oabs @t14 @t262)))))) % 0.34/0.99 (assume @p289 (forall @t68 (=> @t20 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t73) @t409)))) % 0.34/0.99 (assume @p290 (forall @t430 (=> @t28 (=> @t429 (=> @t428 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t27 (tptp.hAPP @t310 @t427))))))) % 0.34/0.99 (assume @p291 (forall @t395 (=> @t394 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t393 @t392) @t348)))) % 0.34/0.99 (assume @p292 (forall @t395 (=> @t394 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t431 @t65) (tptp.hAPP @t431 @t174)) @t348)))) % 0.34/0.99 (assume @p293 (forall @t430 (=> @t20 (=> @t429 (=> @t428 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t19 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t129 @t427))))))) % 0.34/0.99 (assume @p294 (forall @t443 (=> @t312 (= @t442 (tptp.hAPP @t438 (tptp.hAPP @t434 @t432)))))) % 0.34/0.99 (assume @p295 (forall @t443 (=> @t312 (= @t442 (tptp.hAPP @t439 (tptp.hAPP @t441 @t432)))))) % 0.34/0.99 (assume @p296 (forall @t443 (=> @t312 (= @t442 (tptp.hAPP @t437 (tptp.hAPP @t434 @t440)))))) % 0.34/0.99 (assume @p297 (forall @t445 (=> @t312 (= @t444 (tptp.hAPP @t438 @t433))))) % 0.34/0.99 (assume @p298 (forall @t445 (=> @t312 (= @t444 (tptp.hAPP @t437 (tptp.hAPP @t434 @t435)))))) % 0.34/0.99 (assume @p299 (forall @t447 (=> @t312 (= @t446 (tptp.hAPP @t438 @t432))))) % 0.34/0.99 (assume @p300 (forall @t447 (=> @t312 (= @t446 (tptp.hAPP @t439 (tptp.hAPP @t437 @t432)))))) % 0.34/0.99 (assume @p301 (forall @t36 (=> @t312 (= @t47 @t161)))) % 0.34/0.99 (assume @p302 (forall @t150 (=> @t312 (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t34 @t448) (tptp.c_Groups_Oplus__class_Oplus @t14 @t171 @t234))))) % 0.34/0.99 (assume @p303 (forall @t104 (=> @t312 (= @t219 (tptp.c_Groups_Oplus__class_Oplus @t14 @t171 @t29))))) % 0.34/0.99 (assume @p304 (forall @t104 (=> @t312 @t220))) % 0.34/0.99 (assume @p305 (forall @t450 (=> @t312 (= @t449 (tptp.c_Groups_Oplus__class_Oplus @t14 @t171 @t142))))) % 0.34/0.99 (assume @p306 (forall @t450 (=> @t312 (= @t449 (tptp.c_Groups_Oplus__class_Oplus @t14 @t97 (tptp.c_Groups_Oplus__class_Oplus @t14 @t31 @t142)))))) % 0.34/0.99 (assume @p307 (forall (@list @t97 @t31 @t14) (=> @t312 (= @t171 @t209)))) % 0.34/0.99 (assume @p308 (forall @t104 (=> @t299 (=> @t148 (=> @t155 @t451))))) % 0.34/0.99 (assume @p309 (forall @t157 (=> @t281 (=> @t156 (=> @t145 @t451))))) % 0.34/0.99 (assume @p310 (forall @t96 (=> @t281 (=> @t351 (= @t453 @t452))))) % 0.34/0.99 (assume @p311 (forall @t93 (=> @t281 (=> @t351 (= @t455 @t454))))) % 0.34/0.99 (assume @p312 (forall @t275 (=> @t281 (=> @t384 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t268 @t16) (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t41 @t262)))))) % 0.34/0.99 (assume @p313 (forall @t191 (=> @t281 (=> @t384 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t16 @t268) (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t262 @t41)))))) % 0.34/0.99 (assume @p314 @t458) % 0.34/0.99 (assume @p315 (forall @t93 (=> @t281 (=> @t352 (= @t455 @t452))))) % 0.34/0.99 (assume @p316 (forall @t283 (=> @t299 (= @t453 (and (=> @t352 @t454) (=> @t420 (and (=> @t351 @t452) (=> @t418 @t165)))))))) % 0.34/0.99 (assume @p317 (forall @t217 (=> @t299 (= @t455 (and (=> @t352 @t452) (=> @t420 (and (=> @t351 @t454) (=> @t418 @t163)))))))) % 0.34/0.99 (assume @p318 (forall @t40 (=> @t312 @t118))) % 0.34/0.99 (assume @p319 (forall @t40 (=> @t312 @t121))) % 0.34/0.99 (assume @p320 (forall @t459 (=> @t309 (= (= @t83 @t215) @t115)))) % 0.34/0.99 (assume @p321 (forall @t40 (=> @t312 @t122))) % 0.34/0.99 (assume @p322 (=> @t466 (exists @t465 (forall @t464 (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal tptp.v_da____ (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex tptp.v_aa____ @t284)) @t460)))))))) % 0.34/0.99 (assume @p323 (forall @t57 (=> @t67 (= (tptp.c_Polynomial_OpCons @t14 @t56 @t468) @t468)))) % 0.34/0.99 (assume @p324 (forall @t472 (=> @t67 (= (= @t471 @t468) (and @t115 @t470))))) % 0.34/0.99 (assume @p325 (forall @t127 (=> @t49 @t373))) % 0.34/0.99 (assume @p326 (forall @t64 (=> @t61 (exists @t477 (and @t476 @t475))))) % 0.34/0.99 (assume @p327 (forall @t64 (=> @t28 (exists @t477 (and @t476 @t478))))) % 0.34/0.99 (assume @p328 (forall @t38 (=> @t28 (exists @t477 (and @t476 @t479))))) % 0.34/0.99 (assume @p329 (forall @t57 (=> @t28 (exists @t477 (and @t476 @t482))))) % 0.34/0.99 (assume @p330 (forall @t492 (=> @t491 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t14 @t490) @t16) (tptp.hAPP (tptp.hAPP @t24 @t487) @t484))))) % 0.34/0.99 (assume @p331 (forall @t492 (=> @t491 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t14 @t493) @t16) (tptp.c_Groups_Oplus__class_Oplus @t14 @t487 @t484))))) % 0.34/0.99 (assume @p332 (forall (@list @t494 @t469 @t14) (=> @t498 (= (= @t496 (tptp.c_Polynomial_Opoly @t14 @t494)) @t495)))) % 0.34/0.99 (assume @p333 (forall @t500 (=> @t498 (= (= @t496 @t499) @t470)))) % 0.34/0.99 (assume @p334 (forall @t206 (=> @t188 (= (tptp.c_Orderings_Oord__class_Oless @t186 @t2 @t1) (and @t187 (not (tptp.c_Orderings_Oord__class_Oless__eq @t186 @t1 @t2))))))) % 0.34/0.99 (assume @p335 (forall @t38 (=> @t491 (= (tptp.hAPP @t499 @t16) @t56)))) % 0.34/0.99 (assume @p336 (forall (@list @t16 @t485 @t31 @t14) (=> @t491 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t14 @t501) @t16) (tptp.c_Groups_Oplus__class_Oplus @t14 @t31 (tptp.hAPP @t25 @t487)))))) % 0.34/0.99 (assume @p337 (forall @t502 (=> @t123 (= (tptp.c_Groups_Oplus__class_Oplus @t467 @t485 @t468) @t485)))) % 0.34/0.99 (assume @p338 (forall @t502 (=> @t491 (= (tptp.hAPP @t489 @t468) @t468)))) % 0.34/0.99 (assume @p339 (forall @t503 (=> @t123 (= (tptp.c_Groups_Oplus__class_Oplus @t467 @t468 @t483) @t483)))) % 0.34/0.99 (assume @p340 (forall @t503 (=> @t491 (= (tptp.hAPP (tptp.hAPP @t488 @t468) @t483) @t468)))) % 0.34/0.99 (assume @p341 (forall (@list @t494 @t83 @t469 @t85 @t14) (=> @t67 (= (= @t471 (tptp.c_Polynomial_OpCons @t14 @t83 @t494)) (and @t285 @t495))))) % 0.34/0.99 (assume @p342 (forall @t127 (=> @t126 (= (= @t125 @t56) @t115)))) % 0.34/0.99 (assume @p343 (forall @t505 (=> @t123 (= (tptp.c_Groups_Oplus__class_Oplus @t467 @t501 @t504) (tptp.c_Polynomial_OpCons @t14 @t34 @t493))))) % 0.34/0.99 (assume @p344 (forall (@list @t31 @t142) (=> @t466 (exists @t465 (forall @t464 (=> @t463 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t142 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.c_Polynomial_Opoly tptp.tc_Complex_Ocomplex (tptp.c_Polynomial_OpCons tptp.tc_Complex_Ocomplex @t31 tptp.v_cs____)) @t460))))))))) % 0.34/0.99 (assume @p345 (forall @t472 (=> @t49 (= (tptp.c_Polynomial_Opos__poly @t14 @t471) (or (tptp.c_Polynomial_Opos__poly @t14 @t469) (and @t470 @t371)))))) % 0.34/0.99 (assume @p346 (forall (@list @t485 @t129) (exists @t508 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t506) (forall @t464 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t461 @t129) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t507 @t460)) @t506))))))) % 0.34/0.99 (assume @p347 (forall (@list @t85 @t469 @t14) (=> @t497 (= (= (tptp.hAPP @t496 @t85) @t56) (or @t470 (not (= (tptp.c_Polynomial_Oorder @t14 @t85 @t469) @t509))))))) % 0.34/0.99 (assume @p348 (forall (@list @t469 @t85 @t14 @t304 @t2 @t185) (=> @t516 (=> @t515 (= @t513 (tptp.hAPP @t512 @t510)))))) % 0.34/0.99 (assume @p349 (forall @t64 (=> @t61 (exists @t477 (and @t517 @t475))))) % 0.34/0.99 (assume @p350 (forall @t520 (=> @t49 (=> @t519 (=> @t518 (tptp.c_Polynomial_Opos__poly @t14 @t490)))))) % 0.34/0.99 (assume @p351 (forall @t520 (=> @t49 (=> @t519 (=> @t518 (tptp.c_Polynomial_Opos__poly @t14 @t493)))))) % 0.34/0.99 (assume @p352 (forall (@list @t129 @t483 @t485 @t14) (=> @t491 (= (tptp.hAPP (tptp.hAPP @t488 @t493) @t129) (tptp.c_Groups_Oplus__class_Oplus @t467 (tptp.hAPP @t489 @t129) (tptp.hAPP @t521 @t129)))))) % 0.34/0.99 (assume @p353 (forall @t57 (=> @t49 (not (tptp.c_Polynomial_Opos__poly @t14 @t468))))) % 0.34/0.99 (assume @p354 (forall (@list @t14 @t304 @t2 @t185) (=> @t516 (=> @t515 (= (tptp.c_Polynomial_Opoly__rec @t14 @t185 @t304 @t2 @t514) @t304))))) % 0.34/0.99 (assume @p355 (forall (@list @t469 @t85 @t2 @t304 @t14 @t185) (=> @t516 (= @t513 (tptp.hAPP @t512 (tptp.c_If @t14 (tptp.c_fequal @t469 @t514) @t304 @t510)))))) % 0.34/0.99 (assume @p356 (forall (@list @t483 @t485 @t31 @t14) (=> @t491 (= (tptp.c_Polynomial_Opcompose @t14 @t501 @t483) (tptp.c_Groups_Oplus__class_Oplus @t467 (tptp.c_Polynomial_OpCons @t14 @t31 @t468) (tptp.hAPP @t521 @t522)))))) % 0.34/0.99 (assume @p357 (forall @t500 (=> @t67 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t14 @t469) @t509) @t470)))) % 0.34/0.99 (assume @p358 (forall @t524 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t523 @t509)))) % 0.34/0.99 (assume @p359 (forall @t524 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t509 @t523))) % 0.34/0.99 (assume @p360 (forall @t64 (=> @t28 (exists @t477 (and @t517 @t478))))) % 0.34/0.99 (assume @p361 (forall (@list @t226 @t225) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t525 @t225)))) % 0.34/0.99 (assume @p362 (forall (@list @t225 @t226) (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t526 @t225)))) % 0.34/0.99 (assume @p363 (forall @t533 (= @t532 (and @t531 @t530)))) % 0.34/0.99 (assume @p364 (forall @t533 (= @t531 @t534))) % 0.34/0.99 (assume @p365 (forall @t538 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t537 @t536) @t532))) % 0.34/0.99 (assume @p366 (forall @t541 (=> @t540 @t539))) % 0.34/0.99 (assume @p367 (forall @t544 (=> @t543 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t225 @t542)))) % 0.34/0.99 (assume @p368 (forall @t544 (=> @t543 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t225 @t545)))) % 0.34/0.99 (assume @p369 (forall @t227 (=> @t543 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t547 @t546)))) % 0.34/0.99 (assume @p370 (forall @t541 (=> @t539 (=> @t549 @t540)))) % 0.34/0.99 (assume @p371 (forall @t553 (=> @t543 (=> @t552 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t547 @t551))))) % 0.34/0.99 (assume @p372 (forall (@list @t523 @t318 @t550 @t224) (=> @t552 (=> (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t550) @t554) @t540)))) % 0.34/0.99 (assume @p373 (forall @t227 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t525 @t224) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t225 @t224)))) % 0.34/0.99 (assume @p374 (forall @t541 (=> (or @t540 @t548) @t539))) % 0.34/0.99 (assume @p375 (forall @t524 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t523 @t523)))) % 0.34/0.99 (assume @p376 (forall @t533 (= @t530 (or @t532 @t555)))) % 0.34/0.99 (assume @p377 (forall @t399 (=> @t321 (=> (not @t556) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t13 @t16))))) % 0.34/0.99 (assume @p378 (forall @t558 (=> @t557 @t549))) % 0.34/0.99 (assume @p379 (forall (@list @t559 @t427) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t427 @t559) (not (= @t427 @t559))))) % 0.34/0.99 (assume @p380 (forall (@list @t560 @t527 @t528) (=> (=> @t532 @t562) (=> (=> @t529 @t562) (=> (=> @t555 @t562) @t562))))) % 0.34/0.99 (assume @p381 (forall @t566 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 @t565))) % 0.34/0.99 (assume @p382 (forall @t558 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t523 @t567))) % 0.34/0.99 (assume @p383 (forall @t558 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t523 @t568))) % 0.34/0.99 (assume @p384 (forall @t566 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 (tptp.hAPP @t564 @t565)))) % 0.34/0.99 (assume @p385 (forall @t572 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t535 @t570) (exists @t571 (= @t570 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t535 @t569)))))) % 0.34/0.99 (assume @p386 (forall @t533 (= @t531 (exists @t575 (= @t527 @t574))))) % 0.34/0.99 (assume @p387 (forall @t538 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t537 @t536) @t531))) % 0.34/0.99 (assume @p388 (forall @t544 (=> @t576 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t542)))) % 0.34/0.99 (assume @p389 (forall @t544 (=> @t576 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t545)))) % 0.34/0.99 (assume @p390 (forall @t227 (=> @t576 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t547 @t546)))) % 0.34/0.99 (assume @p391 (forall @t227 (=> @t576 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t580 @t578)))) % 0.34/0.99 (assume @p392 (forall @t227 (=> @t576 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t583 @t582)))) % 0.34/0.99 (assume @p393 (forall @t553 (=> @t576 (=> @t584 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t547 @t551))))) % 0.34/0.99 (assume @p394 (forall @t553 (=> @t576 (=> @t584 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t580 (tptp.hAPP @t577 @t550)))))) % 0.34/0.99 (assume @p395 (forall @t588 (=> @t587 @t585))) % 0.34/0.99 (assume @p396 (forall @t588 (=> @t587 @t539))) % 0.34/0.99 (assume @p397 (forall @t588 (=> @t587 (not (=> @t539 (not @t585)))))) % 0.34/0.99 (assume @p398 (forall @t541 (=> @t539 (=> @t589 @t548)))) % 0.34/0.99 (assume @p399 (forall @t227 (=> @t576 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t226 @t224) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t224))))) % 0.34/0.99 (assume @p400 (forall @t541 (=> @t548 @t539))) % 0.34/0.99 (assume @p401 (forall @t541 (or @t539 @t589))) % 0.34/0.99 (assume @p402 (forall @t524 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t523 @t523))) % 0.34/0.99 (assume @p403 (forall @t503 (=> @t491 (= (tptp.c_Polynomial_Opcompose @t14 @t468 @t483) @t468)))) % 0.34/0.99 (assume @p404 (forall @t492 (=> @t491 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t14 @t522) @t16) (tptp.hAPP @t486 @t484))))) % 0.34/0.99 (assume @p405 (forall @t524 (= (tptp.hAPP (tptp.hAPP @t563 @t509) @t523) @t509))) % 0.34/0.99 (assume @p406 (forall @t524 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t509 @t523) @t523))) % 0.34/0.99 (assume @p407 (forall @t566 (= (tptp.hAPP @t564 @t509) @t509))) % 0.34/0.99 (assume @p408 (forall @t566 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t509) @t318))) % 0.34/0.99 (assume @p409 (forall @t591 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t527 @t509) @t590))) % 0.34/0.99 (assume @p410 (forall @t533 (= (= @t593 @t509) (and @t592 @t590)))) % 0.34/0.99 (assume @p411 (forall @t533 (= (= @t595 @t509) (or @t592 @t590)))) % 0.34/0.99 (assume @p412 (forall @t538 (= @t601 @t597))) % 0.34/0.99 (assume @p413 (forall @t605 (= (= @t604 @t603) @t597))) % 0.34/0.99 (assume @p414 (forall @t541 (=> (= @t567 @t318) @t606))) % 0.34/0.99 (assume @p415 (forall @t524 (=> @t608 @t607))) % 0.34/0.99 (assume @p416 (forall @t227 (=> @t543 (=> @t609 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t583 @t582))))) % 0.34/0.99 (assume @p417 (forall @t227 (=> @t543 (=> @t609 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t580 @t578))))) % 0.34/0.99 (assume @p418 (forall @t541 (=> @t540 @t608))) % 0.34/0.99 (assume @p419 (forall @t605 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t604 @t603) @t611))) % 0.34/0.99 (assume @p420 (forall @t538 (= @t612 @t611))) % 0.34/0.99 (assume @p421 (forall @t605 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t604 @t603) @t613))) % 0.34/0.99 (assume @p422 (forall @t538 (= @t614 @t613))) % 0.34/0.99 (assume @p423 (forall @t533 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t595) (and @t616 @t615)))) % 0.34/0.99 (assume @p424 (forall @t533 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t593) (or @t616 @t615)))) % 0.34/0.99 (assume @p425 (forall @t591 (= @t617 @t615))) % 0.34/0.99 (assume @p426 (forall @t538 (=> @t610 (= @t612 @t531)))) % 0.34/0.99 (assume @p427 (forall @t399 (=> @t556 @t618))) % 0.34/0.99 (assume @p428 (forall @t538 (=> @t610 (= @t614 @t532)))) % 0.34/0.99 (assume @p429 (forall @t538 (=> @t610 (= @t601 @t529)))) % 0.34/0.99 (assume @p430 (forall @t57 (=> @t28 (exists @t477 (and @t517 @t482))))) % 0.34/0.99 (assume @p431 (forall @t541 (= @t567 @t568))) % 0.34/0.99 (assume @p432 (forall @t43 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t16 @t619) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t13 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t16 @t41))))) % 0.34/0.99 (assume @p433 (forall @t622 (= (tptp.hAPP @t581 @t567) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t621 @t620)))) % 0.34/0.99 (assume @p434 (forall @t624 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t567 @t224) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t623)))) % 0.34/0.99 (assume @p435 (forall @t624 (= (tptp.hAPP (tptp.hAPP @t563 @t567) @t224) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t627 @t626)))) % 0.34/0.99 (assume @p436 (forall @t538 (= (= @t537 @t536) @t529))) % 0.34/0.99 (assume @p437 (forall @t605 (= (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t528 @t535) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t527 @t535)) @t529))) % 0.34/0.99 (assume @p438 (forall @t624 (= (tptp.hAPP (tptp.hAPP @t563 @t628) @t224) (tptp.hAPP @t564 @t626)))) % 0.34/0.99 (assume @p439 (forall @t541 (= @t628 @t629))) % 0.34/0.99 (assume @p440 (forall (@list @t224 @t226 @t630 @t225) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t632 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t631 @t224)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t563 @t525) @t630) @t224)))) % 0.34/0.99 (assume @p441 (forall @t538 (= @t601 (or @t596 @t529)))) % 0.34/0.99 (assume @p442 (forall @t634 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t41) @t633))) % 0.34/0.99 (assume @p443 (forall @t43 (=> @t556 @t633))) % 0.34/0.99 (assume @p444 (forall @t634 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t16 @t41) @t635))) % 0.34/0.99 (assume @p445 (forall @t43 (=> @t618 @t635))) % 0.34/0.99 (assume @p446 (forall @t38 (=> @t28 (exists @t477 (and @t517 @t479))))) % 0.34/0.99 (assume @p447 (forall @t64 (=> @t61 (exists @t477 @t475)))) % 0.34/0.99 (assume @p448 (forall @t64 (=> @t28 (exists @t477 @t478)))) % 0.34/0.99 (assume @p449 (forall @t38 (=> @t28 (exists @t477 @t479)))) % 0.34/0.99 (assume @p450 (forall @t57 (=> @t28 (exists @t477 @t482)))) % 0.34/0.99 (assume @p451 (forall @t642 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t14) (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t16 @t31) (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t13 @t31) (=> @t641 (=> @t640 (=> @t639 (tptp.c_Orderings_Oord__class_Oless @t14 @t637 @t31))))))))) % 0.34/0.99 (assume @p452 (forall @t21 (=> @t281 (=> (forall (@list @t643) (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t643) (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t16 (tptp.c_Groups_Oplus__class_Oplus @t14 @t13 @t643)))) @t183)))) % 0.34/0.99 (assume @p453 (forall @t648 (=> @t647 (=> @t607 (=> @t398 @t646))))) % 0.34/0.99 (assume @p454 (forall @t524 (=> @t607 (= (tptp.c_NthRoot_Oroot @t523 @t649) @t649)))) % 0.34/0.99 (assume @p455 (forall @t651 (=> @t615 (= (= @t650 @t649) (= @t65 @t649))))) % 0.34/0.99 (assume @p456 (forall @t57 (=> @t652 (= (tptp.c_RealVector_Onorm__class_Onorm @t14 @t638) @t649)))) % 0.34/0.99 (assume @p457 (forall @t68 (=> (tptp.class_Groups_Oone @t14) (= (= @t638 @t65) (= @t65 @t638))))) % 0.34/0.99 (assume @p458 (forall @t57 (=> @t312 (= @t653 (tptp.c_Polynomial_OpCons @t14 @t638 @t468))))) % 0.34/0.99 (assume @p459 (forall @t524 (= (tptp.c_NthRoot_Oroot @t523 @t55) @t55))) % 0.34/0.99 (assume @p460 (forall @t38 (=> @t312 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t14 @t653) @t16) @t638)))) % 0.34/0.99 (assume @p461 (forall @t654 (= (tptp.hAPP (tptp.hAPP @t22 @t649) @t41) @t41))) % 0.34/0.99 (assume @p462 (not (= @t55 @t649))) % 0.34/0.99 (assume @p463 (forall @t57 (=> @t49 (= (tptp.c_Groups_Oabs__class_Oabs @t14 @t638) @t638)))) % 0.34/0.99 (assume @p464 (forall @t40 (=> @t63 (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t31 @t638) @t31)))) % 0.34/0.99 (assume @p465 (forall @t40 (=> @t656 @t655))) % 0.34/0.99 (assume @p466 (forall @t40 (=> @t657 @t655))) % 0.34/0.99 (assume @p467 (forall @t40 (=> @t656 @t658))) % 0.34/0.99 (assume @p468 (forall @t40 (=> @t657 @t658))) % 0.34/0.99 (assume @p469 (forall @t40 (=> @t312 @t658))) % 0.34/0.99 (assume @p470 (forall @t40 (=> @t312 @t655))) % 0.34/0.99 (assume @p471 (forall @t57 (=> @t659 (not (= @t56 @t638))))) % 0.34/0.99 (assume @p472 (forall @t57 (=> @t659 (not (= @t638 @t56))))) % 0.34/0.99 (assume @p473 (forall @t524 (= (tptp.hAPP (tptp.hAPP @t563 @t660) @t523) @t523))) % 0.34/0.99 (assume @p474 (forall @t533 (= (= @t660 @t595) @t661))) % 0.34/0.99 (assume @p475 (forall @t524 (= (tptp.hAPP @t625 @t660) @t523))) % 0.34/0.99 (assume @p476 (forall @t533 (= (= @t595 @t660) @t661))) % 0.34/0.99 (assume @p477 (forall @t666 (=> @t607 (=> @t665 (=> @t664 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t663 @t644)))))) % 0.34/0.99 (assume @p478 (forall @t651 (=> @t615 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t650 @t649) @t667)))) % 0.34/0.99 (assume @p479 (forall @t669 (=> @t615 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t649 @t668) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t649 @t174))))) % 0.34/0.99 (assume @p480 (forall @t666 (=> @t607 (=> @t665 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t649 @t16) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t663 @t644)))))) % 0.34/0.99 (assume @p481 (forall @t651 (=> @t615 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t650 @t649) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t65 @t649))))) % 0.34/0.99 (assume @p482 (forall @t669 (=> @t615 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t649 @t668) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t649 @t174))))) % 0.34/0.99 (assume @p483 (forall @t666 (=> @t607 (=> @t665 (=> @t670 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 @t649) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t644 @t663))))))) % 0.34/0.99 (assume @p484 (forall @t666 (=> @t607 (=> @t665 (=> @t398 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 @t649) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t644 @t663))))))) % 0.34/0.99 (assume @p485 (forall @t648 (=> @t647 (=> @t607 (= @t645 (tptp.c_NthRoot_Oroot @t523 (tptp.c_NthRoot_Oroot @t318 @t16))))))) % 0.34/0.99 (assume @p486 (forall @t671 (=> @t615 (= (= @t650 @t668) @t201)))) % 0.34/0.99 (assume @p487 (forall @t57 (=> @t378 (not (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t638 @t56))))) % 0.34/0.99 (assume @p488 (forall @t57 (=> @t378 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t638)))) % 0.34/0.99 (assume @p489 (forall @t57 (=> @t378 (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t638)))) % 0.34/0.99 (assume @p490 (forall @t57 (=> @t378 (not (tptp.c_Orderings_Oord__class_Oless @t14 @t638 @t56))))) % 0.34/0.99 (assume @p491 (forall (@list @t523 @t318 @t14) (=> @t378 (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t638 @t318) (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t638 @t523) (tptp.c_Orderings_Oord__class_Oless @t14 @t638 (tptp.hAPP @t672 @t523))))))) % 0.34/0.99 (assume @p492 (forall @t40 (=> @t378 (tptp.c_Orderings_Oord__class_Oless @t14 @t31 @t673)))) % 0.34/0.99 (assume @p493 (forall (@list @t318 @t31 @t14) (=> @t312 (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t319 @t318) @t674)))) % 0.34/0.99 (assume @p494 (forall (@list @t31 @t318 @t14) (=> @t312 (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t318 @t319) @t674)))) % 0.34/0.99 (assume @p495 (forall (@list @t318 @t14) (=> @t312 (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t318 @t318) (tptp.hAPP (tptp.hAPP @t24 @t675) @t318))))) % 0.34/0.99 (assume @p496 (forall @t40 (=> @t69 (and (=> @t110 (= @t676 @t56)) @t677)))) % 0.34/0.99 (assume @p497 (forall @t40 (=> @t63 @t677))) % 0.34/0.99 (assume @p498 (forall @t459 (=> @t63 (=> (not @t114) (= (= @t300 @t638) @t285))))) % 0.34/0.99 (assume @p499 (forall @t541 (=> (= @t318 @t628) (or (= @t523 @t660) @t678)))) % 0.34/0.99 (assume @p500 (forall @t680 (=> @t607 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t644 @t679))))) % 0.34/0.99 (assume @p501 (forall @t671 (=> @t615 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t650 @t668) @t348)))) % 0.34/0.99 (assume @p502 (forall @t651 (=> @t615 (= (= @t650 @t55) @t295)))) % 0.34/0.99 (assume @p503 (forall @t680 (=> @t607 @t681))) % 0.34/0.99 (assume @p504 (forall @t671 (=> @t615 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t650 @t668) @t347)))) % 0.34/0.99 (assume @p505 (forall @t680 (=> @t607 @t682))) % 0.34/0.99 (assume @p506 (forall @t648 (=> @t647 (=> @t607 @t646)))) % 0.34/0.99 (assume @p507 (forall @t680 (=> @t607 (= (tptp.c_NthRoot_Oroot @t523 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t16 @t13)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t644 @t679))))) % 0.34/0.99 (assume @p508 (forall @t683 (=> @t607 (= (tptp.c_NthRoot_Oroot @t523 @t290) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t644))))) % 0.34/0.99 (assume @p509 (forall @t21 (=> @t49 (=> @t181 (=> @t685 (=> @t684 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t180 @t16))))))) % 0.34/0.99 (assume @p510 (forall @t21 (=> @t49 (=> @t181 (=> @t685 (=> @t684 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t26 @t16))))))) % 0.34/0.99 (assume @p511 (forall @t57 (=> @t378 (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t675)))) % 0.34/0.99 (assume @p512 (forall @t36 (=> @t281 (=> @t331 (tptp.c_Orderings_Oord__class_Oless @t14 @t31 @t686))))) % 0.34/0.99 (assume @p513 (forall @t36 (=> @t281 (=> @t331 (tptp.c_Orderings_Oord__class_Oless @t14 @t686 @t29))))) % 0.34/0.99 (assume @p514 (forall @t687 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t290 @t649) @t16)))) % 0.34/0.99 (assume @p515 (forall @t683 (=> @t607 (=> @t670 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t644))))) % 0.34/0.99 (assume @p516 (forall @t651 (=> @t615 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t650 @t55) @t293)))) % 0.34/0.99 (assume @p517 (forall @t669 (=> @t615 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t668) @t292)))) % 0.34/0.99 (assume @p518 (forall @t669 (=> @t615 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t668) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t174))))) % 0.34/0.99 (assume @p519 (forall @t651 (=> @t615 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t650 @t55) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t65 @t55))))) % 0.34/0.99 (assume @p520 (forall @t683 (=> @t607 (=> @t398 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t644))))) % 0.34/0.99 (assume @p521 (forall @t642 (=> (tptp.class_Rings_Olinordered__semiring__1 @t14) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t16 @t31) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t13 @t31) (=> @t641 (=> @t640 (=> @t639 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t637 @t31))))))))) % 0.34/0.99 (assume @p522 (forall @t687 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t649 @t290)))) % 0.34/0.99 (assume @p523 (forall (@list @t688 @t689) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t689) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t688) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 (tptp.c_NthRoot_Oroot @t689 @t688)))))) % 0.34/0.99 (assume @p524 (forall @t680 (=> @t607 (=> @t670 @t681)))) % 0.34/0.99 (assume @p525 (forall @t680 (=> @t607 (=> @t670 (=> @t690 @t682))))) % 0.34/0.99 (assume @p526 (forall @t21 (=> @t299 (=> (forall @t464 (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t460) (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t460 @t638) (tptp.c_Orderings_Oord__class_Oless__eq @t14 (tptp.hAPP (tptp.hAPP @t24 @t460) @t16) @t13)))) @t183)))) % 0.34/0.99 (assume @p527 (forall @t683 (=> @t607 (=> @t398 @t693)))) % 0.34/0.99 (assume @p528 (forall @t683 (=> @t607 (=> @t670 (= (tptp.c_NthRoot_Oroot @t523 @t695) @t16))))) % 0.34/0.99 (assume @p529 (forall @t683 (=> @t607 (=> @t670 @t693)))) % 0.34/0.99 (assume @p530 (forall @t38 (=> @t312 (= (tptp.hAPP @t697 @t660) @t16)))) % 0.34/0.99 (assume @p531 (forall (@list @t483 @t13 @t16 @t14) (=> @t312 (= (tptp.hAPP (tptp.hAPP @t696 @t26) @t483) (tptp.hAPP @t700 (tptp.hAPP @t698 @t483)))))) % 0.34/0.99 (assume @p532 (forall @t703 (=> @t312 (= (tptp.hAPP (tptp.hAPP @t696 @t702) @t483) (tptp.hAPP @t697 (tptp.hAPP @t701 @t483)))))) % 0.34/0.99 (assume @p533 (forall (@list @t16 @t523 @t485 @t14) (=> @t312 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t14 (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower @t467) @t485) @t523)) @t16) (tptp.hAPP (tptp.hAPP @t696 @t487) @t523))))) % 0.34/0.99 (assume @p534 (forall @t707 (=> @t52 (= @t706 @t704)))) % 0.34/0.99 (assume @p535 (forall @t707 (=> @t652 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t706 @t704)))) % 0.34/0.99 (assume @p536 (forall @t38 (=> @t312 (= (tptp.hAPP @t697 @t509) @t638)))) % 0.34/0.99 (assume @p537 (forall @t703 (=> @t312 (= (tptp.hAPP (tptp.hAPP @t24 @t702) @t699) (tptp.hAPP @t697 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t485 @t483)))))) % 0.34/0.99 (assume @p538 (forall (@list @t224 @t16 @t523) (=> @t607 (= (tptp.c_NthRoot_Oroot @t523 (tptp.hAPP @t694 @t224)) (tptp.hAPP @t692 @t224))))) % 0.34/0.99 (assume @p539 (forall (@list @t16 @t13 @t523) (=> @t607 (=> @t690 (=> (= (tptp.hAPP (tptp.hAPP @t691 @t13) @t523) @t16) (= @t644 @t13)))))) % 0.34/0.99 (assume @p540 (forall @t713 (=> @t378 (=> @t331 (=> @t138 (=> @t607 @t712)))))) % 0.34/0.99 (assume @p541 (forall @t715 (=> @t378 (=> @t714 (=> @t607 (tptp.c_Orderings_Oord__class_Oless @t14 @t638 @t711)))))) % 0.34/0.99 (assume @p542 (forall @t717 (=> @t378 (=> @t714 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t716 @t711) @t539))))) % 0.34/0.99 (assume @p543 (forall @t722 (=> @t378 (=> @t721 (= (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t720 @t719) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t65 @t174)))))) % 0.34/0.99 (assume @p544 (forall @t43 (= (tptp.hAPP @t724 @t619) (tptp.hAPP (tptp.hAPP @t726 @t725) (tptp.hAPP @t724 @t41))))) % 0.34/0.99 (assume @p545 (forall @t43 (= (tptp.hAPP (tptp.hAPP @t723 @t725) @t41) (tptp.hAPP @t724 (tptp.hAPP (tptp.hAPP @t563 @t13) @t41))))) % 0.34/0.99 (assume @p546 (forall @t728 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 (tptp.hAPP (tptp.hAPP @t723 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t65)) @t527)) (or (not (= @t65 @t727)) @t590)))) % 0.34/0.99 (assume @p547 (forall (@list @t523 @t318 @t225) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t225) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t730 @t318) @t731) @t540)))) % 0.34/0.99 (assume @p548 (forall @t728 (= @t734 (or @t732 @t590)))) % 0.34/0.99 (assume @p549 (forall @t715 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t14) (=> @t113 (not (= @t711 @t56)))))) % 0.34/0.99 (assume @p550 (forall @t715 (=> @t656 (= @t737 @t735)))) % 0.34/0.99 (assume @p551 (forall @t713 (=> @t657 (= (tptp.hAPP (tptp.hAPP @t696 @t47) @t523) (tptp.hAPP @t736 @t709))))) % 0.34/0.99 (assume @p552 (forall @t738 (=> @t656 (= (tptp.hAPP (tptp.hAPP @t696 @t638) @t523) @t638)))) % 0.34/0.99 (assume @p553 (forall @t713 (=> @t62 @t739))) % 0.34/0.99 (assume @p554 (forall @t715 (=> @t49 (= (tptp.c_Groups_Oabs__class_Oabs @t14 @t711) @t740)))) % 0.34/0.99 (assume @p555 (forall @t717 (=> @t656 (= (tptp.hAPP @t710 @t628) (tptp.hAPP (tptp.hAPP @t696 @t716) @t523))))) % 0.34/0.99 (assume @p556 (forall @t40 (=> @t656 (= (tptp.hAPP @t710 @t660) @t31)))) % 0.34/0.99 (assume @p557 (forall @t713 (=> @t378 (=> @t148 (=> @t138 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t711 @t709)))))) % 0.34/0.99 (assume @p558 (forall @t715 (=> @t378 (=> @t138 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t711))))) % 0.34/0.99 (assume @p559 (forall @t715 (=> @t378 (=> @t360 (tptp.c_Orderings_Oord__class_Oless @t14 @t56 @t711))))) % 0.34/0.99 (assume @p560 (forall @t715 (=> @t378 (=> @t741 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t638 @t711))))) % 0.34/0.99 (assume @p561 (forall (@list @t527 @t85 @t14) (=> (and @t744 @t119 @t112 @t659) (= (= @t743 @t56) (and @t115 @t617))))) % 0.34/0.99 (assume @p562 (forall (@list @t527 @t528 @t85 @t14) (=> @t378 (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t638 @t85) (= (= (tptp.hAPP @t742 @t528) @t743) @t529))))) % 0.34/0.99 (assume @p563 (forall (@list @t523 @t31 @t29 @t14) (=> @t265 (=> @t81 @t739)))) % 0.34/0.99 (assume @p564 (forall @t40 (=> @t744 (= (tptp.hAPP @t710 @t509) @t638)))) % 0.34/0.99 (assume @p565 (forall @t717 (=> @t656 (= (tptp.hAPP @t710 @t567) (tptp.hAPP (tptp.hAPP @t24 @t716) @t711))))) % 0.34/0.99 (assume @p566 (forall @t715 (=> @t62 (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t638 @t711) (tptp.hAPP (tptp.hAPP @t696 (tptp.c_Rings_Oinverse__class_Odivide @t14 @t638 @t31)) @t523))))) % 0.34/0.99 (assume @p567 (forall @t745 (=> @t378 (=> @t712 (=> @t135 @t331))))) % 0.34/0.99 (assume @p568 (forall @t715 (=> @t378 (=> @t714 (tptp.c_Orderings_Oord__class_Oless @t14 @t638 @t735))))) % 0.34/0.99 (assume @p569 (forall @t715 (=> @t378 (=> @t714 (tptp.c_Orderings_Oord__class_Oless @t14 @t711 @t735))))) % 0.34/0.99 (assume @p570 (forall @t738 (=> @t748 (and (=> @t606 (= @t747 @t638)) (=> @t608 (= @t747 @t56)))))) % 0.34/0.99 (assume @p571 (forall @t715 (=> @t49 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t740)))) % 0.34/0.99 (assume @p572 (forall @t722 (=> @t378 (=> @t721 (= (tptp.c_Orderings_Oord__class_Oless @t14 @t720 @t719) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t65 @t174)))))) % 0.34/0.99 (assume @p573 (forall @t717 (=> @t378 (=> @t714 (=> (tptp.c_Orderings_Oord__class_Oless @t14 @t716 @t711) @t540))))) % 0.34/0.99 (assume @p574 (forall @t750 (=> @t378 (=> @t665 (=> @t714 (tptp.c_Orderings_Oord__class_Oless @t14 @t711 @t749)))))) % 0.34/0.99 (assume @p575 (forall @t750 (=> @t378 (=> @t751 (=> @t741 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t711 @t749)))))) % 0.34/0.99 (assume @p576 (forall @t715 (=> @t378 (=> @t360 (=> @t752 (tptp.c_Orderings_Oord__class_Oless @t14 @t735 @t711)))))) % 0.34/0.99 (assume @p577 (forall @t750 (=> @t378 (=> @t665 (=> @t360 (=> @t752 (tptp.c_Orderings_Oord__class_Oless @t14 @t749 @t711))))))) % 0.34/0.99 (assume @p578 (forall @t745 (=> @t378 (=> (= @t711 @t709) (=> @t138 (=> @t135 (=> @t607 @t200))))))) % 0.34/0.99 (assume @p579 (forall @t750 (=> @t378 (=> @t751 (=> @t138 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t31 @t638) (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t749 @t711))))))) % 0.34/0.99 (assume @p580 (forall (@list @t523 @t29) (=> (not (= @t29 @t7)) (=> @t608 (exists @t464 (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 @t755 (tptp.hAPP (tptp.hAPP @t754 @t29) (tptp.hAPP (tptp.hAPP @t753 @t460) @t523)))) @t649)))))) % 0.34/0.99 (assume @p581 (forall @t57 (=> @t744 (= @t696 (tptp.c_Power_Opower_Opower @t14 @t638 @t24))))) % 0.34/0.99 (assume @p582 (forall @t728 (= @t734 (or @t590 @t732)))) % 0.34/0.99 (assume @p583 (forall @t756 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 (tptp.hAPP (tptp.hAPP @t723 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t16)) @t523)))) % 0.34/0.99 (assume @p584 (forall @t227 (=> @t757 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t225 @t224) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t226 @t224))))) % 0.34/0.99 (assume @p585 (forall @t227 (=> @t757 (=> @t759 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t758 @t225) (tptp.hAPP @t758 @t226)))))) % 0.34/0.99 (assume @p586 (forall (@list @t41 @t761 @t70 @t762) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t762 @t70) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t761 @t41) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t762 @t761) @t760))))) % 0.34/0.99 (assume @p587 (forall @t654 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t727 @t41) @t41))) % 0.34/0.99 (assume @p588 (forall @t654 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t41 @t727) @t41))) % 0.34/0.99 (assume @p589 (forall @t767 (= (tptp.hAPP @t763 @t766) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t765 @t764)))) % 0.34/0.99 (assume @p590 (forall @t132 (= (tptp.hAPP (tptp.hAPP @t726 @t766) @t70) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t771 @t769)))) % 0.34/0.99 (assume @p591 (forall @t79 (= (tptp.hAPP (tptp.hAPP @t726 (tptp.hAPP @t770 @t75)) @t74) (tptp.hAPP @t770 (tptp.hAPP @t768 @t74))))) % 0.34/0.99 (assume @p592 (forall @t72 (= (tptp.hAPP @t772 @t70) (tptp.hAPP @t763 @t41)))) % 0.34/0.99 (assume @p593 (forall @t399 (or (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t16 @t13) @t192 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t13 @t16)))) % 0.34/0.99 (assume @p594 (forall (@list @t301 @t304) (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t304 @t301) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t304 @t301) (not (= @t304 @t301)))))) % 0.34/0.99 (assume @p595 (forall @t775 (= @t774 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t301 @t304)))) % 0.34/0.99 (assume @p596 (forall @t775 (= @t774 (or @t776 (= @t301 @t304))))) % 0.34/0.99 (assume @p597 (forall @t775 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t301 @t773) @t304) @t776))) % 0.34/0.99 (assume @p598 (forall @t777 (= (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 @t773 @t304) @t304) @t727) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t304 @t727)))) % 0.34/0.99 (assume @p599 (forall @t654 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t41) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t778)))) % 0.34/0.99 (assume @p600 (forall @t533 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t528) (= (= (tptp.hAPP (tptp.hAPP @t726 @t528) @t527) @t773) (and (= @t528 @t773) (= @t527 @t773)))))) % 0.34/0.99 (assume @p601 (forall @t208 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t70 @t41) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t70 @t773) @t41)))) % 0.34/0.99 (assume @p602 (forall @t654 (not (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t778 @t41) @t727)))) % 0.34/0.99 (assume @p603 (forall @t541 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t726 @t318) @t523)) @t773) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t318) @t773)))) % 0.34/0.99 (assume @p604 (forall @t654 (= (tptp.hAPP @t772 @t773) @t41))) % 0.34/0.99 (assume @p605 (forall @t654 (= (tptp.hAPP (tptp.hAPP @t726 @t773) @t41) @t41))) % 0.34/0.99 (assume @p606 (not (= @t727 @t773))) % 0.34/0.99 (assume @p607 (forall @t777 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t304) @t773) (= @t304 @t727)))) % 0.34/0.99 (assume @p608 (forall @t777 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t304) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t304)))) % 0.34/0.99 (assume @p609 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t773)) % 0.34/0.99 (assume @p610 (forall (@list @t85 @t780 @t779 @t14) (= (tptp.hAPP @t781 @t509) @t779))) % 0.34/0.99 (assume @p611 (forall @t788 (=> @t787 (=> @t785 (=> @t783 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t782)))))) % 0.34/0.99 (assume @p612 (forall @t788 (=> @t790 (=> @t789 (=> @t783 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t782 @t727)))))) % 0.34/0.99 (assume @p613 (forall @t796 (=> @t795 (=> @t789 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t784 @t29) (=> @t792 @t791)))))) % 0.34/0.99 (assume @p614 (forall @t228 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t70 @t70))) % 0.34/0.99 (assume @p615 (forall @t72 (or @t798 @t797))) % 0.34/0.99 (assume @p616 (forall @t227 (=> @t799 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t226 @t224) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t225 @t224))))) % 0.34/0.99 (assume @p617 (forall @t72 (=> @t798 (=> @t797 @t221)))) % 0.34/0.99 (assume @p618 (forall @t79 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t766 @t74) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t77 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t75 @t74))))) % 0.34/0.99 (assume @p619 (forall @t43 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t16 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 @t41)) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t13 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t16 @t41))))) % 0.34/0.99 (assume @p620 (forall @t72 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t41 @t70) @t760))) % 0.34/0.99 (assume @p621 (forall @t227 (=> @t799 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t224 @t225) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t224 @t226))))) % 0.34/0.99 (assume @p622 (forall @t802 (=> @t801 (=> @t800 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t129 @t31) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t773 @t483)))))) % 0.34/0.99 (assume @p623 (forall @t802 (=> @t801 (=> @t800 (=> @t803 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t483 @t773)))))) % 0.34/0.99 (assume @p624 (forall @t806 (=> @t805 (=> @t790 (=> @t792 (=> @t789 (=> @t783 (=> @t804 @t791)))))))) % 0.34/0.99 (assume @p625 (forall @t796 (=> @t795 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t129 @t727) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t29 @t129) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t29 @t784) @t807)))))) % 0.34/0.99 (assume @p626 (forall @t806 (=> @t805 (=> @t787 (=> @t785 (=> @t803 (=> @t783 (=> @t804 @t807)))))))) % 0.34/0.99 (assume @p627 (forall @t756 (=> @t808 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 (tptp.hAPP @t724 @t523))))) % 0.34/0.99 (assume @p628 (forall @t399 (=> @t808 (=> @t809 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 (tptp.hAPP (tptp.hAPP @t726 @t16) @t13)))))) % 0.34/0.99 (assume @p629 (forall @t399 (=> @t808 (=> @t809 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t16 @t13)))))) % 0.34/0.99 (assume @p630 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t727)) % 0.34/0.99 (assume @p631 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t773)) % 0.34/0.99 (assume @p632 (forall (@list @t527 @t560) (=> @t814 (=> (tptp.hBOOL @t561) (exists @t575 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t573 @t527) (forall @t812 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t810 @t573) (not @t811))) (tptp.hBOOL (tptp.hAPP @t560 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t573 @t660))))))))) % 0.34/0.99 (assume @p633 (forall @t816 (=> @t607 (=> @t815 (exists @t465 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t462) (= (tptp.hAPP (tptp.hAPP @t691 @t462) @t523) @t31))))))) % 0.34/0.99 (assume @p634 (forall @t816 (=> @t607 (=> @t815 (exists @t6 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t3) (= (tptp.hAPP (tptp.hAPP @t691 @t3) @t523) @t31) (forall @t818 (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t817) (= (tptp.hAPP (tptp.hAPP @t691 @t817) @t523) @t31)) (= @t817 @t3))))))))) % 0.34/0.99 (assume @p635 (forall @t687 (=> @t670 (= (tptp.c_RComplete_Onatceiling @t820) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t819 @t660))))) % 0.34/0.99 (assume @p636 (forall @t687 (=> @t670 (= (tptp.c_RComplete_Onatfloor @t820) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t821 @t660))))) % 0.34/0.99 (assume @p637 (forall (@list @t16 @t523 @t14) (=> @t656 (=> @t607 (= (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t697 @t822)) @t16) @t705))))) % 0.34/0.99 (assume @p638 (forall @t117 (=> @t824 (= @t236 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t823 @t56))))) % 0.34/0.99 (assume @p639 (forall @t117 (=> @t824 (= @t346 (tptp.c_Orderings_Oord__class_Oless @t14 @t823 @t56))))) % 0.34/0.99 (assume @p640 (forall @t687 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t509 @t821))) % 0.34/0.99 (assume @p641 (forall @t36 (=> @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t827) @t826)))) % 0.34/0.99 (assume @p642 (= (tptp.c_RComplete_Onatfloor @t649) @t660)) % 0.34/0.99 (assume @p643 (forall @t687 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t509 @t819))) % 0.34/0.99 (assume @p644 (forall @t399 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t819 (tptp.c_RComplete_Onatceiling @t13))))) % 0.34/0.99 (assume @p645 (= (tptp.c_RComplete_Onatceiling @t649) @t660)) % 0.34/0.99 (assume @p646 (forall @t399 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t821 (tptp.c_RComplete_Onatfloor @t13))))) % 0.34/0.99 (assume @p647 (forall @t317 (=> @t824 (=> @t828 (= @t236 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t84 @t315)))))) % 0.34/0.99 (assume @p648 (forall @t36 (=> @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t827 @t826)))) % 0.34/0.99 (assume @p649 (forall @t538 (=> @t832 (=> @t831 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t830 @t829) @t531))))) % 0.34/0.99 (assume @p650 (forall @t622 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t224 @t318) (=> @t585 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t318 @t224) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t523 @t224)) @t833))))) % 0.34/0.99 (assume @p651 (forall @t538 (=> @t832 (=> @t831 (= (= @t830 @t829) @t529))))) % 0.34/0.99 (assume @p652 (forall @t834 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t225 @t523) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t523 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t523 @t225)) @t225)))) % 0.34/0.99 (assume @p653 (forall @t835 (=> @t539 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t318 @t550) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t523 @t550))))) % 0.34/0.99 (assume @p654 (forall @t835 (=> @t539 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t837 @t836)))) % 0.34/0.99 (assume @p655 (forall @t541 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t833 @t318))) % 0.34/0.99 (assume @p656 (forall @t36 (=> @t838 (= (tptp.c_Groups_Ominus__class_Ominus @t14 @t34 @t29) @t31)))) % 0.34/0.99 (assume @p657 (forall @t36 (=> @t838 (= (tptp.c_Groups_Oplus__class_Oplus @t14 @t825 @t29) @t31)))) % 0.34/0.99 (assume @p658 (forall @t588 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t586 @t623) @t833))) % 0.34/0.99 (assume @p659 (forall @t622 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t839 @t554) @t833))) % 0.34/0.99 (assume @p660 (forall @t227 (= @t841 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t225 @t546)))) % 0.34/0.99 (assume @p661 (forall @t558 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t568 @t523) @t318))) % 0.34/0.99 (assume @p662 (forall @t541 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t567 @t523) @t318))) % 0.34/0.99 (assume @p663 (forall @t104 (=> @t63 (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t825 @t97) (tptp.c_Groups_Ominus__class_Ominus @t14 @t109 @t98))))) % 0.34/0.99 (assume @p664 (forall @t108 (=> @t61 (= (tptp.c_Rings_Oinverse__class_Odivide @t14 @t842 @t105) (tptp.c_Groups_Ominus__class_Ominus @t14 @t107 @t106))))) % 0.34/0.99 (assume @p665 (forall @t36 (=> @t20 (= @t826 (tptp.c_RealVector_Onorm__class_Onorm @t14 @t843))))) % 0.34/0.99 (assume @p666 (forall @t492 (=> (tptp.class_Rings_Ocomm__ring @t14) (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t14 @t844) @t16) (tptp.c_Groups_Ominus__class_Ominus @t14 @t487 @t484))))) % 0.34/0.99 (assume @p667 (forall @t317 (=> @t845 (=> @t828 (= @t285 @t316))))) % 0.34/0.99 (assume @p668 (forall @t505 (=> @t845 (= (tptp.c_Groups_Ominus__class_Ominus @t467 @t501 @t504) (tptp.c_Polynomial_OpCons @t14 @t825 @t844))))) % 0.34/0.99 (assume @p669 (forall @t227 (= @t841 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t225 @t224) @t226)))) % 0.34/0.99 (assume @p670 (= (tptp.c_RComplete_Onatceiling @t55) @t509)) % 0.34/0.99 (assume @p671 (= (tptp.c_RComplete_Onatfloor @t55) @t509)) % 0.34/0.99 (assume @p672 (forall @t317 (=> @t824 (=> @t828 (= @t346 (tptp.c_Orderings_Oord__class_Oless @t14 @t84 @t315)))))) % 0.34/0.99 (assume @p673 (forall @t117 (=> @t838 (= @t846 @t285)))) % 0.34/0.99 (assume @p674 (forall @t117 (=> @t845 (= @t285 @t846)))) % 0.34/0.99 (assume @p675 (forall @t40 (=> @t838 (= (tptp.c_Groups_Ominus__class_Ominus @t14 @t31 @t31) @t56)))) % 0.34/0.99 (assume @p676 (forall @t40 (=> @t838 (= (tptp.c_Groups_Ominus__class_Ominus @t14 @t31 @t56) @t31)))) % 0.34/0.99 (assume @p677 (forall (@list @t523 @t224 @t226) (=> @t847 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t226 @t523) @t224)))) % 0.34/0.99 (assume @p678 (forall @t835 (=> @t540 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t318 @t550) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t837 @t836))))) % 0.34/0.99 (assume @p679 (forall @t36 (=> @t35 (= @t849 @t848)))) % 0.34/0.99 (assume @p680 (forall @t541 (=> @t850 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t523 @t318) @t509) @t548)))) % 0.34/0.99 (assume @p681 (forall @t566 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t318 @t318) @t509))) % 0.34/0.99 (assume @p682 (forall @t566 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t318 @t509) @t318))) % 0.34/0.99 (assume @p683 (forall @t524 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t509 @t523) @t509))) % 0.34/0.99 (assume @p684 (forall @t108 (=> @t28 (= (tptp.hAPP @t851 @t105) (tptp.c_Groups_Ominus__class_Ominus @t14 @t243 @t242))))) % 0.34/0.99 (assume @p685 (forall @t246 (=> @t28 (= (tptp.hAPP (tptp.hAPP @t24 (tptp.c_Groups_Ominus__class_Ominus @t14 @t31 @t244)) @t29) (tptp.c_Groups_Ominus__class_Ominus @t14 @t47 @t245))))) % 0.34/0.99 (assume @p686 (forall @t252 (=> @t28 (= (tptp.hAPP @t249 @t842) (tptp.c_Groups_Ominus__class_Ominus @t14 @t251 @t250))))) % 0.34/0.99 (assume @p687 (forall @t255 (=> @t28 (= (tptp.hAPP @t46 (tptp.c_Groups_Ominus__class_Ominus @t14 @t29 @t253)) (tptp.c_Groups_Ominus__class_Ominus @t14 @t47 @t254))))) % 0.34/0.99 (assume @p688 (forall @t622 (= (tptp.hAPP @t581 @t833) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t621 @t620)))) % 0.34/0.99 (assume @p689 (forall @t624 (= (tptp.hAPP (tptp.hAPP @t563 @t833) @t224) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t627 @t626)))) % 0.34/0.99 (assume @p690 (forall @t857 (=> @t856 (= @t855 (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t25 @t854) @t853))))) % 0.34/0.99 (assume @p691 (forall @t857 (=> @t28 (= @t855 (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t852 @t854) @t853) (tptp.hAPP @t46 @t854)))))) % 0.34/0.99 (assume @p692 (forall @t863 (=> @t856 (= @t862 (= @t84 @t859))))) % 0.34/0.99 (assume @p693 (forall @t863 (=> @t856 (= @t862 (= @t864 @t315))))) % 0.34/0.99 (assume @p694 (forall (@list @t865 @t85 @t65 @t14) (=> @t49 (= (tptp.c_Orderings_Oord__class_Oless @t14 (tptp.c_Groups_Oabs__class_Oabs @t14 (tptp.c_Groups_Ominus__class_Ominus @t14 @t65 @t85)) @t865) (and (tptp.c_Orderings_Oord__class_Oless @t14 (tptp.c_Groups_Ominus__class_Ominus @t14 @t85 @t865) @t65) (tptp.c_Orderings_Oord__class_Oless @t14 @t65 (tptp.c_Groups_Oplus__class_Oplus @t14 @t85 @t865))))))) % 0.34/0.99 (assume @p695 (forall @t36 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq @t14 (tptp.c_Groups_Oabs__class_Oabs @t14 @t866) @t849)))) % 0.34/0.99 (assume @p696 (forall @t36 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t866 @t849)))) % 0.34/0.99 (assume @p697 (forall @t36 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t866 @t848)))) % 0.34/0.99 (assume @p698 (forall @t867 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t527 @t528)) @t532))) % 0.34/0.99 (assume @p699 (forall @t558 (=> @t607 (=> @t647 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t833 @t318))))) % 0.34/0.99 (assume @p700 (forall @t558 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t523 @t568) @t509))) % 0.34/0.99 (assume @p701 (forall @t541 (=> @t539 @t850))) % 0.34/0.99 (assume @p702 (forall @t533 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t528 @t527) @t509) @t531))) % 0.34/0.99 (assume @p703 (forall @t872 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t869 @t871) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t870 @t868)))) % 0.34/0.99 (assume @p704 (forall @t541 (=> @t874 @t873))) % 0.34/0.99 (assume @p705 (forall @t875 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t31 @t29) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t97 @t31) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t31 @t97) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t97)))))) % 0.34/0.99 (assume @p706 (forall @t538 (=> @t832 (=> @t831 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t830 @t829) @t532))))) % 0.34/0.99 (assume @p707 (forall @t878 (=> @t877 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t225 @t876) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t547 @t226))))) % 0.34/0.99 (assume @p708 (forall (@list @t869 @t535 @t868) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t871 @t869) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t868 @t870)))) % 0.34/0.99 (assume @p709 (forall (@list @t318 @t523 @t224) (=> @t585 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t318 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t568 @t224))))) % 0.34/0.99 (assume @p710 (forall @t558 (=> @t589 @t873))) % 0.34/0.99 (assume @p711 (forall @t878 (=> @t877 (= @t880 @t879)))) % 0.34/0.99 (assume @p712 (forall (@list @t869 @t868 @t535) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t535 @t868) (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t869 @t871) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t870 @t868))))) % 0.34/0.99 (assume @p713 (forall @t558 (=> @t589 (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t833 @t523) @t318)))) % 0.34/0.99 (assume @p714 (forall @t872 (=> @t882 (= (= @t881 @t535) (= @t868 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t535 @t869)))))) % 0.34/0.99 (assume @p715 (forall @t878 (=> @t877 (= @t879 @t880)))) % 0.34/0.99 (assume @p716 (forall @t878 (=> @t877 (= @t884 @t883)))) % 0.34/0.99 (assume @p717 (forall @t878 (=> @t877 (= @t883 @t884)))) % 0.34/0.99 (assume @p718 (forall @t687 (=> @t885 (= @t821 @t509)))) % 0.34/0.99 (assume @p719 (forall @t687 (=> @t885 (= @t819 @t509)))) % 0.34/0.99 (assume @p720 (forall @t863 (=> @t141 (= @t886 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t84 @t859))))) % 0.34/0.99 (assume @p721 (forall @t863 (=> @t141 (= @t886 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t864 @t315))))) % 0.34/0.99 (assume @p722 (forall @t863 (=> @t141 (= @t887 (tptp.c_Orderings_Oord__class_Oless @t14 @t84 @t859))))) % 0.34/0.99 (assume @p723 (forall @t863 (=> @t141 (= @t887 (tptp.c_Orderings_Oord__class_Oless @t14 @t864 @t315))))) % 0.34/0.99 (assume @p724 (forall @t38 (=> (tptp.class_Rings_Oring__1 @t14) (= (tptp.c_Groups_Ominus__class_Ominus @t14 @t278 @t638) (tptp.hAPP (tptp.hAPP @t24 (tptp.c_Groups_Oplus__class_Oplus @t14 @t16 @t638)) (tptp.c_Groups_Ominus__class_Ominus @t14 @t16 @t638)))))) % 0.34/0.99 (assume @p725 (forall @t266 (=> @t265 (=> @t264 (=> @t263 (= (tptp.c_Groups_Ominus__class_Ominus @t14 @t262 @t261) (tptp.c_Rings_Oinverse__class_Odivide @t14 (tptp.c_Groups_Ominus__class_Ominus @t14 @t260 @t259) @t258))))))) % 0.34/0.99 (assume @p726 (forall @t271 (=> @t265 (=> @t263 (= (tptp.c_Groups_Ominus__class_Ominus @t14 @t270 @t13) (tptp.c_Rings_Oinverse__class_Odivide @t14 (tptp.c_Groups_Ominus__class_Ominus @t14 @t16 @t268) @t41)))))) % 0.34/0.99 (assume @p727 (forall @t271 (=> @t265 (=> @t263 (= (tptp.c_Groups_Ominus__class_Ominus @t14 @t16 @t274) (tptp.c_Rings_Oinverse__class_Odivide @t14 (tptp.c_Groups_Ominus__class_Ominus @t14 @t273 @t13) @t41)))))) % 0.34/0.99 (assume @p728 (forall @t36 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t849 @t33)))) % 0.34/0.99 (assume @p729 (forall @t150 (=> @t35 (tptp.c_Orderings_Oord__class_Oless__eq @t14 (tptp.c_Groups_Oabs__class_Oabs @t14 @t890) (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.c_Groups_Oabs__class_Oabs @t14 @t889) (tptp.c_Groups_Oabs__class_Oabs @t14 @t888)))))) % 0.34/0.99 (assume @p730 (forall @t36 (=> @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t826 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t39 @t58))))) % 0.34/0.99 (assume @p731 (forall @t897 (= @t896 (not (or (and @t895 @t814) (exists @t894 (and @t893 (not @t892)))))))) % 0.34/0.99 (assume @p732 (forall @t897 (= @t896 (and (=> @t895 @t813) (forall @t894 (=> @t893 @t892)))))) % 0.34/0.99 (assume @p733 (forall @t904 (=> @t903 (= @t902 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t899 @t527))))) % 0.34/0.99 (assume @p734 (forall (@list @t523 @t318 @t630 @t225 @t226) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t226 @t225) (= @t905 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t563 @t840) @t630) @t318) @t523))))) % 0.34/0.99 (assume @p735 (forall @t904 (=> @t903 (= @t906 (= @t899 @t527))))) % 0.34/0.99 (assume @p736 (forall @t908 (=> @t882 (= @t902 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t528 @t907))))) % 0.34/0.99 (assume @p737 (forall (@list @t523 @t318 @t630 @t226 @t225) (=> @t576 (= @t905 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t318 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t563 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t226 @t225)) @t630) @t523)))))) % 0.34/0.99 (assume @p738 (forall @t908 (=> @t882 (= @t906 (= @t528 @t907))))) % 0.34/0.99 (assume @p739 (forall @t349 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t660 @t909) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t649 @t65)))) % 0.34/0.99 (assume @p740 (forall @t349 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t910 @t660) @t667))) % 0.34/0.99 (assume @p741 (forall @t150 (=> @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t14 @t890) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t14 @t889) (tptp.c_RealVector_Onorm__class_Onorm @t14 @t888)))))) % 0.34/0.99 (assume @p742 (forall (@list @t318 @t523 @t31 @t14) (=> @t265 (=> @t113 (=> @t589 (= (tptp.hAPP @t710 @t833) (tptp.c_Rings_Oinverse__class_Odivide @t14 @t716 @t711))))))) % 0.34/0.99 (assume @p743 (forall @t908 (=> @t882 (= @t911 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t528 @t907))))) % 0.34/0.99 (assume @p744 (forall @t904 (=> @t903 (= @t911 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t899 @t527))))) % 0.34/0.99 (assume @p745 (forall @t541 (and (=> @t678 (= @t628 @t509)) (=> @t913 (= @t628 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t523 (tptp.hAPP (tptp.hAPP @t563 @t912) @t523))))))) % 0.34/0.99 (assume @p746 (forall @t915 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t31) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t29) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t563 @t914) (tptp.c_RComplete_Onatfloor @t29)) (tptp.c_RComplete_Onatfloor (tptp.hAPP (tptp.hAPP @t22 @t31) @t29))))))) % 0.34/0.99 (assume @p747 (forall (@list @t485 @t318) (and (=> @t678 (= @t917 @t660)) (=> @t913 (= @t917 (tptp.hAPP @t701 (tptp.hAPP @t916 @t912))))))) % 0.34/0.99 (assume @p748 (forall (@list @t318 @t523 @t14) (=> @t744 (and (=> @t606 (= @t919 @t638)) (=> @t608 (= @t919 (tptp.hAPP @t672 (tptp.hAPP @t918 @t822)))))))) % 0.34/0.99 (assume @p749 (forall (@list @t920 @t142 @t97 @t29 @t31 @t14) (=> (tptp.class_RealVector_Oreal__field @t14) (= (tptp.c_Rings_Oinverse__class_Odivide @t14 (tptp.c_Groups_Ominus__class_Ominus @t14 @t47 @t390) @t920) (tptp.c_Groups_Oplus__class_Oplus @t14 (tptp.hAPP @t46 (tptp.c_Rings_Oinverse__class_Odivide @t14 @t888 @t920)) (tptp.hAPP (tptp.hAPP @t24 (tptp.c_Rings_Oinverse__class_Odivide @t14 @t889 @t920)) @t142)))))) % 0.34/0.99 (assume @p750 (forall @t683 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t922 @t16) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 @t923) (= @t819 @t921))))) % 0.34/0.99 (assume @p751 (forall @t524 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t922))) % 0.34/0.99 (assume @p752 (forall @t687 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t16 @t649) @t924))) % 0.34/0.99 (assume @p753 (forall @t177 (=> @t49 (= (tptp.c_Orderings_Oord__class_Oless__eq @t467 @t65 @t174) (or @t201 @t925))))) % 0.34/0.99 (assume @p754 (forall @t929 (=> @t928 (= (tptp.c_RComplete_Onatceiling @t927) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t819 @t31))))) % 0.34/0.99 (assume @p755 (forall @t929 (=> @t928 (= (tptp.c_RComplete_Onatfloor @t927) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t821 @t31))))) % 0.34/0.99 (assume @p756 (forall @t558 (=> @t589 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t833) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t930 @t922))))) % 0.34/0.99 (assume @p757 (forall @t524 (= (tptp.c_RComplete_Onatceiling @t922) @t523))) % 0.34/0.99 (assume @p758 (forall @t524 (= (tptp.c_RComplete_Onatfloor @t922) @t523))) % 0.34/0.99 (assume @p759 (forall @t177 (=> @t49 (= (tptp.c_Orderings_Oord__class_Oless @t467 @t65 @t174) @t925)))) % 0.34/0.99 (assume @p760 (forall @t502 (=> @t845 (= (tptp.c_Groups_Ominus__class_Ominus @t467 @t485 @t468) @t485)))) % 0.34/0.99 (assume @p761 (forall @t767 (= (tptp.hAPP @t763 @t931) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t765 @t764)))) % 0.34/0.99 (assume @p762 (forall @t132 (= (tptp.hAPP (tptp.hAPP @t726 @t931) @t70) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t771 @t769)))) % 0.34/0.99 (assume @p763 (forall (@list @t83 @t85 @t2) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t511 (tptp.hAPP @t933 @t85)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t932 (tptp.hAPP @t933 @t83))))) % 0.34/0.99 (assume @p764 (forall @t687 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t934) @t934))) % 0.34/0.99 (assume @p765 (forall @t867 (= (= @t937 @t936) @t935))) % 0.34/0.99 (assume @p766 (forall @t591 (= (= @t937 @t55) @t590))) % 0.34/0.99 (assume @p767 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t509) @t55)) % 0.34/0.99 (assume @p768 (forall @t524 (not (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t922 @t55)))) % 0.34/0.99 (assume @p769 (forall @t867 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t937 @t936) @t555))) % 0.34/0.99 (assume @p770 (forall @t867 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t937 @t936) @t938))) % 0.34/0.99 (assume @p771 (forall @t541 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t628) (tptp.hAPP (tptp.hAPP @t22 @t930) @t922)))) % 0.34/0.99 (assume @p772 (forall @t541 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t567) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t930 @t922)))) % 0.34/0.99 (assume @p773 (forall @t294 (= @t348 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t65 @t174) @t55)))) % 0.34/0.99 (assume @p774 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t660) @t649)) % 0.34/0.99 (assume @p775 (forall @t572 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t535 @t570) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t535 @t570) @t727)))) % 0.34/0.99 (assume @p776 (forall @t541 (= @t940 @t939))) % 0.34/0.99 (assume @p777 (forall @t541 (= @t939 @t940))) % 0.34/0.99 (assume @p778 (forall @t687 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t819)))) % 0.34/0.99 (assume @p779 (forall @t591 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t937 @t55) @t590))) % 0.34/0.99 (assume @p780 (forall @t36 (=> @t20 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t827 (tptp.c_RealVector_Onorm__class_Onorm @t14 @t34))))) % 0.34/0.99 (assume @p781 (forall @t687 (=> @t670 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t924 @t16)))) % 0.34/0.99 (assume @p782 (forall @t775 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t301 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t304 @t773)) @t776))) % 0.34/0.99 (assume @p783 (forall @t941 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t934 @t31) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t16 @t914)))) % 0.34/0.99 (assume @p784 (forall @t941 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16 @t926) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t819 @t31)))) % 0.34/0.99 (assume @p785 (forall @t756 (=> (= @t16 @t924) (= (tptp.c_RComplete_Onatfloor @t695) (tptp.hAPP (tptp.hAPP @t729 @t821) @t523))))) % 0.34/0.99 (assume @p786 (forall @t591 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t937) @t615))) % 0.34/0.99 (assume @p787 (forall @t867 (= @t555 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t937 @t649) @t936)))) % 0.34/0.99 (assume @p788 (forall @t867 (= @t938 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t937 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t936 @t649))))) % 0.34/0.99 (assume @p789 (forall @t943 (=> @t291 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t85 @t909) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t942 @t65))))) % 0.34/0.99 (assume @p790 (forall @t943 (=> @t291 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t910 @t85) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t65 @t942))))) % 0.34/0.99 (assume @p791 (forall @t687 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t924 @t649)))) % 0.34/0.99 (assume @p792 (forall @t756 (=> @t670 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 @t922) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t821 @t523))))) % 0.34/0.99 (assume @p793 (forall @t941 (=> @t670 (= (tptp.c_RComplete_Onatfloor @t944) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t821 @t31))))) % 0.34/0.99 (assume @p794 (forall (@list @t523 @t41) (=> (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 @t41) @t660) @t523) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t41 @t922)))) % 0.34/0.99 (assume @p795 (forall @t683 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t922 @t16) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 @t923) (= @t821 @t523))))) % 0.34/0.99 (assume @p796 (forall @t941 (=> @t670 (= (tptp.c_RComplete_Onatceiling @t944) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t819 @t31))))) % 0.34/0.99 (assume @p797 (forall @t391 (=> @t845 (= (tptp.c_Groups_Ominus__class_Ominus @t14 @t171 @t234) (tptp.c_Groups_Oplus__class_Oplus @t14 @t825 (tptp.c_Groups_Ominus__class_Ominus @t14 @t97 @t142)))))) % 0.34/0.99 (assume @p798 (forall @t756 (=> @t670 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.hAPP @t945 @t16) @t649) (tptp.hAPP (tptp.hAPP @t691 @t820) @t523))))) % 0.34/0.99 (assume @p799 (forall (@list @t41 @t16 @t142) (=> @t947 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t16 @t946) @t41)))) % 0.34/0.99 (assume @p800 (forall (@list @t16 @t41 @t142) (=> @t947 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t41 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t16 @t946))))) % 0.34/0.99 (assume @p801 (forall (@list @t31 @t29) (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 @t29 @t31)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t29)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t31)))) % 0.34/0.99 (assume @p802 (forall @t399 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t290 @t649) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t289 @t649) (= (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t949 @t948) (tptp.c_Transcendental_Oarctan (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t16 @t13) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t649 @t396)))))))) % 0.34/0.99 (assume @p803 (forall @t399 (=> @t400 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t949 @t948)))) % 0.34/0.99 (assume @p804 (forall @t399 (=> @t42 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t949 @t948)))) % 0.34/0.99 (assume @p805 (= (tptp.c_Transcendental_Oarctan @t55) @t55)) % 0.34/0.99 (assume @p806 (forall @t131 (=> @t951 (exists @t571 (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 @t569 @t660)) @t129) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t129 @t950)))))) % 0.34/0.99 (assume @p807 (forall @t654 (=> (= @t207 @t649) (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 @t41 @t755)) @t649) (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 @t41 @t755)) @t649) (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 @t41 tptp.c_Complex_Oii)) @t649) (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 @t41 tptp.c_Complex_Oii)) @t649))))) % 0.34/0.99 (assume @p808 (not (= tptp.c_Complex_Oii @t7))) % 0.34/0.99 (assume @p809 (not (= tptp.c_Complex_Oii @t755))) % 0.34/0.99 (assume @p810 (forall (@list @t953 @t952 @t14 @t185) (=> (and @t958 @t199) (=> (forall @t571 (=> @t957 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t185 (tptp.c_Groups_Ominus__class_Ominus @t185 @t954 @t955)) @t649))) (forall @t571 (=> @t957 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t956 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t649 (tptp.c_RealVector_Onorm__class_Onorm @t185 @t954))))))))) % 0.34/0.99 (assume @p811 (forall (@list @t485 @t41 @t240) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t240) (exists @t894 (and @t961 (forall (@list @t959) (=> (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t960) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t960 @t891)) (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 @t507 @t959) (tptp.hAPP @t507 @t41))) @t240)))))))) % 0.34/0.99 (assume @p812 (forall @t965 (and @t964 (=> (not @t963) (= @t962 @t727))))) % 0.34/0.99 (assume @p813 (forall @t399 (=> @t664 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t13) (= (tptp.c_RComplete_Onatfloor (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t16 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t13))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t821 @t13)))))) % 0.34/0.99 (assume @p814 (forall @t622 (and (=> @t969 (= @t967 @t509)) (=> (not @t969) @t968)))) % 0.34/0.99 (assume @p815 (forall @t103 (=> @t973 (and (=> @t100 (= @t971 @t56)) @t972)))) % 0.34/0.99 (assume @p816 (forall @t82 (=> @t973 (=> @t81 (= (tptp.c_Divides_Odiv__class_Odiv @t14 @t47 @t29) @t31))))) % 0.34/0.99 (assume @p817 (forall @t82 (=> @t973 (=> @t81 (= (tptp.c_Divides_Odiv__class_Odiv @t14 @t161 @t29) @t31))))) % 0.34/0.99 (assume @p818 (forall @t103 (=> @t973 (=> @t101 (= (tptp.c_Divides_Odiv__class_Odiv @t14 @t99 @t158) @t970))))) % 0.34/0.99 (assume @p819 (forall @t103 (=> @t973 @t972))) % 0.34/0.99 (assume @p820 (forall @t40 (=> @t973 (=> @t113 (= (tptp.c_Divides_Odiv__class_Odiv @t14 @t31 @t31) @t638))))) % 0.34/0.99 (assume @p821 (forall @t875 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t31 @t976) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t974 @t97)))) % 0.34/0.99 (assume @p822 (forall @t40 (=> @t973 (= (tptp.c_Divides_Odiv__class_Odiv @t14 @t56 @t31) @t56)))) % 0.34/0.99 (assume @p823 (forall @t40 (=> @t973 (= (tptp.c_Divides_Odiv__class_Odiv @t14 @t31 @t56) @t56)))) % 0.34/0.99 (assume @p824 (forall @t40 (=> @t973 (= (tptp.c_Divides_Odiv__class_Odiv @t14 @t31 @t638) @t31)))) % 0.34/0.99 (assume @p825 (forall @t541 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t966 @t318))) % 0.34/0.99 (assume @p826 (forall @t624 (=> @t539 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t318 @t224) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t523 @t224))))) % 0.34/0.99 (assume @p827 (forall @t541 @t977)) % 0.34/0.99 (assume @p828 (forall @t624 (=> @t647 (=> @t539 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t224 @t523) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t224 @t318)))))) % 0.34/0.99 (assume @p829 (forall @t622 (=> @t609 @t968))) % 0.34/0.99 (assume @p830 (forall @t558 (=> @t607 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t628 @t523) @t318)))) % 0.34/0.99 (assume @p831 (forall @t558 (=> @t607 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t629 @t523) @t318)))) % 0.34/0.99 (assume @p832 (forall @t558 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t660 @t523) (=> @t647 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t966 @t318))))) % 0.34/0.99 (assume @p833 (forall @t683 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t979 @t978))) % 0.34/0.99 (assume @p834 (forall @t157 (=> @t973 (=> @t81 (= (tptp.c_Divides_Odiv__class_Odiv @t14 (tptp.c_Groups_Oplus__class_Oplus @t14 @t31 @t158) @t29) @t980))))) % 0.34/0.99 (assume @p835 (forall @t157 (=> @t973 (=> @t81 (= (tptp.c_Divides_Odiv__class_Odiv @t14 (tptp.c_Groups_Oplus__class_Oplus @t14 @t31 @t152) @t29) @t980))))) % 0.34/0.99 (assume @p836 (forall @t82 (=> @t973 (=> @t81 (= (tptp.c_Divides_Odiv__class_Odiv @t14 @t34 @t29) @t981))))) % 0.34/0.99 (assume @p837 (forall @t82 (=> @t973 (=> @t81 (= (tptp.c_Divides_Odiv__class_Odiv @t14 @t210 @t29) @t981))))) % 0.34/0.99 (assume @p838 (forall @t983 (= (tptp.hBOOL (tptp.hAPP @t560 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t527 @t535))) (and (=> @t596 @t813) (=> (not @t596) (forall (@list @t810 @t982) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t982 @t535) (=> (= @t527 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t598 @t810) @t982)) @t811)))))))) % 0.34/0.99 (assume @p839 (forall @t399 (=> @t808 (=> @t809 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t962))))) % 0.34/0.99 (assume @p840 (forall @t683 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t55 @t984))) % 0.34/0.99 (assume @p841 (forall @t683 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t984 @t649))) % 0.34/0.99 (assume @p842 (forall @t965 @t964)) % 0.34/0.99 (assume @p843 (forall (@list @t953 @t14) (=> @t190 (= (tptp.c_SEQ_Odecseq @t14 @t953) (forall (@list @t506 @t569) (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t506 @t569) (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t955 (tptp.hAPP @t953 @t506)))))))) % 0.34/0.99 (assume @p844 (forall (@list @t523 @t31 @t129) (= (tptp.hAPP (tptp.hAPP @t753 @t985) @t523) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t691 @t129) @t523) (tptp.hAPP @t945 @t31))))) % 0.34/0.99 (assume @p845 (forall @t986 (=> (not (= @t31 @t727)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t31 @t31) @t773)))) % 0.34/0.99 (assume @p846 (forall (@list @t29) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t727 @t29) @t727))) % 0.34/0.99 (assume @p847 (forall @t195 (=> @t265 (= (tptp.c_Divides_Odiv__class_Odiv @t467 @t16 (tptp.hAPP (tptp.hAPP @t488 @t13) @t41)) (tptp.c_Divides_Odiv__class_Odiv @t467 (tptp.c_Divides_Odiv__class_Odiv @t467 @t16 @t13) @t41))))) % 0.34/0.99 (assume @p848 (forall @t990 (=> @t989 (= @t988 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t85 @t727))))) % 0.34/0.99 (assume @p849 (forall @t990 (=> @t991 (= @t988 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t85))))) % 0.34/0.99 (assume @p850 (forall @t915 (=> @t994 (=> @t993 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t992 @t727))))) % 0.34/0.99 (assume @p851 (forall @t399 (=> @t808 (=> @t809 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t16 @t13)))))) % 0.34/0.99 (assume @p852 (forall @t998 (=> @t997 (=> @t996 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t995 @t992))))) % 0.34/0.99 (assume @p853 (forall @t998 (=> @t997 (=> @t993 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t992 @t995))))) % 0.34/0.99 (assume @p854 (forall @t915 (=> @t1000 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t29 @t31) @t999)))) % 0.34/0.99 (assume @p855 (forall @t1002 (=> @t994 (=> @t783 (=> @t804 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1001 @t992)))))) % 0.34/0.99 (assume @p856 (forall @t915 (=> @t1000 (=> @t993 @t1003)))) % 0.34/0.99 (assume @p857 (forall @t990 (=> @t991 (= @t1004 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t85 @t727))))) % 0.34/0.99 (assume @p858 (forall @t915 (=> @t1005 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t31 @t29) @t999)))) % 0.34/0.99 (assume @p859 (forall @t915 (=> @t1005 (=> @t996 @t1003)))) % 0.34/0.99 (assume @p860 (forall @t1002 (=> @t1005 (=> @t783 (=> @t804 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t992 @t1001)))))) % 0.34/0.99 (assume @p861 (forall (@list @t83 @t85) (=> @t1006 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t987) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t83 @t85) @t989))))) % 0.34/0.99 (assume @p862 (forall (@list @t869 @t535) (=> @t1008 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t1007) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t535 @t869))))) % 0.34/0.99 (assume @p863 (forall @t990 (=> @t989 (= @t1004 @t1006)))) % 0.34/0.99 (assume @p864 (forall (@list @t535 @t869) (= (= @t1007 @t727) (or @t1009 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t869) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t869 @t535)) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t869 @t727) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t535 @t869)))))) % 0.34/0.99 (assume @p865 (forall (@list @t224 @t16) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t16) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t773 @t224) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t16 @t224) @t16))))) % 0.34/0.99 (assume @p866 (forall (@list @t29 @t31 @t97) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t727 @t97) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t31 (tptp.hAPP @t793 @t97)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t992 @t97))))) % 0.34/0.99 (assume @p867 (forall @t1014 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex @t1013 @t1012) (tptp.c_Complex_Orcis (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t1011 @t1010) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t31 @t29))))) % 0.34/0.99 (assume @p868 (forall @t311 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t985) @t130))) % 0.34/0.99 (assume @p869 (forall @t986 (= (tptp.c_Complex_Orcis @t55 @t31) @t7))) % 0.34/0.99 (assume @p870 (forall (@list @t1017 @t13 @t1015 @t1016) (=> (= @t1016 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t726 @t1015) @t13) @t1017)) (=> (and (=> @t1018 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t1017) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1017 @t1015))) (=> (not @t1018) (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1015 @t1017) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1017 @t727)))) (=> (not (= @t1015 @t727)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1016 @t1015) @t13)))))) % 0.34/0.99 (assume @p871 (forall @t983 (= (tptp.hBOOL (tptp.hAPP @t560 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t527 @t535))) (and (=> @t1009 (tptp.hBOOL (tptp.hAPP @t560 @t727))) (=> @t1008 (forall @t812 (=> (exists @t1021 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t727 @t982) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t982 @t535) @t1020)) @t811))) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t535 @t727) (forall @t812 (=> (exists @t1021 (and (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t535 @t982) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t982 @t727) @t1020)) @t811))))))) % 0.34/0.99 (assume @p872 (forall @t1014 (= (tptp.hAPP (tptp.hAPP @t754 @t1013) @t1012) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t22 @t1011) @t1010) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal @t31 @t29))))) % 0.34/0.99 (assume @p873 (forall (@list @t29 @t16 @t31) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t31 @t16) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 @t29) (exists @t894 (and @t961 (forall @t818 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t16 @t817)) @t891) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t31 @t817) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t817 @t29)))))))))) % 0.34/0.99 (assume @p874 (forall @t1026 (=> @t1025 (=> (forall @t6 (=> @t1023 (tptp.hBOOL (tptp.hAPP @t560 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t315))))) (=> @t1024 (forall @t6 (=> @t1023 (tptp.hBOOL (tptp.hAPP @t560 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t3 @t1022)))))))))) % 0.34/0.99 (assume @p875 (forall (@list @t224 @t318) (=> @t647 (=> @t759 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t1028 @t318) @t224) (tptp.hAPP @t1028 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t318 @t1027))))))) % 0.34/0.99 (assume @p876 (forall @t1026 (=> @t1025 (=> (forall @t6 (=> @t1023 (tptp.hBOOL (tptp.hAPP @t560 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t315))))) (=> @t1024 (forall @t6 (=> @t1023 (tptp.hBOOL (tptp.hAPP @t560 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint @t3 @t1022)))))))))) % 0.34/0.99 (assume @p877 (forall @t524 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t523 @t1029))) % 0.34/0.99 (assume @p878 (forall @t541 (=> @t540 @t1031))) % 0.34/0.99 (assume @p879 (forall @t524 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t1029))) % 0.34/0.99 (assume @p880 (forall @t566 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t318 @t1027) @t318))) % 0.34/0.99 (assume @p881 (forall @t745 (=> @t378 (=> (= @t1033 @t1032) (=> @t138 (=> @t135 @t200)))))) % 0.34/0.99 (assume @p882 (forall @t745 (=> @t378 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t1033 @t1032) (=> @t135 @t148))))) % 0.34/0.99 (assume @p883 (forall @t541 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t318 @t1029) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t912 @t523)))) % 0.34/0.99 (assume @p884 (forall @t524 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1029 @t660) @t523))) % 0.34/0.99 (assume @p885 (forall @t558 (=> @t589 (= @t1034 (tptp.c_Nat_OSuc @t833))))) % 0.34/0.99 (assume @p886 (forall @t541 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t833 @t1030))) % 0.34/0.99 (assume @p887 (forall @t624 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1034 (tptp.c_Nat_OSuc @t224)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t833 @t224)))) % 0.34/0.99 (assume @p888 (forall @t541 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1030 @t1029) @t833))) % 0.34/0.99 (assume @p889 (forall @t533 (= @t1036 (or @t592 (exists @t1021 (and (= @t528 (tptp.c_Nat_OSuc @t982)) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t982 @t527))))))) % 0.34/0.99 (assume @p890 (forall @t591 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t527 @t1027) @t590))) % 0.34/0.99 (assume @p891 (forall @t591 (= @t615 (exists @t508 (= @t527 (tptp.c_Nat_OSuc @t506)))))) % 0.34/0.99 (assume @p892 (forall @t687 (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16 @t1037) (or (= @t16 @t509) (= @t16 @t1027))))) % 0.34/0.99 (assume @p893 (forall @t533 (= @t532 (exists @t575 (= @t527 (tptp.c_Nat_OSuc @t574)))))) % 0.34/0.99 (assume @p894 (forall @t1038 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t225 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t225))))) % 0.34/0.99 (assume @p895 (forall @t1038 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t225 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t225 @t318))))) % 0.34/0.99 (assume @p896 (forall @t541 (=> @t1039 @t540))) % 0.34/0.99 (assume @p897 (forall @t533 (=> @t531 @t1042))) % 0.34/0.99 (assume @p898 (forall @t541 (=> @t540 @t1039))) % 0.34/0.99 (assume @p899 (forall @t541 (=> @t539 @t1043))) % 0.34/0.99 (assume @p900 (forall @t533 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1040 @t527) @t532))) % 0.34/0.99 (assume @p901 (forall @t533 (= @t1036 @t531))) % 0.34/0.99 (assume @p902 (forall @t867 (= @t555 @t1044))) % 0.34/0.99 (assume @p903 (forall @t538 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1047 @t1046) @t532))) % 0.34/0.99 (assume @p904 (forall @t538 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1047 @t1046) @t531))) % 0.34/0.99 (assume @p905 (forall @t541 (=> @t1039 @t539))) % 0.34/0.99 (assume @p906 (forall @t541 (=> @t1048 (=> (not @t539) (= @t318 @t1029))))) % 0.34/0.99 (assume @p907 (forall @t541 (=> @t539 @t1048))) % 0.34/0.99 (assume @p908 (forall @t867 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1035 @t1040) @t938))) % 0.34/0.99 (assume @p909 (forall @t533 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t528 @t1035) (or @t531 (= @t528 @t1035))))) % 0.34/0.99 (assume @p910 (forall @t533 (= (not @t531) @t1044))) % 0.34/0.99 (assume @p911 (forall @t524 (not (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1029 @t523)))) % 0.34/0.99 (assume @p912 (forall @t533 (= (not @t532) @t1041))) % 0.34/0.99 (assume @p913 (forall @t533 (= @t1036 @t534))) % 0.34/0.99 (assume @p914 (forall @t533 (= (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1040 @t1035) @t532))) % 0.34/0.99 (assume @p915 (forall @t867 (=> (not @t555) @t1042))) % 0.34/0.99 (assume @p916 (forall @t558 (=> (not @t557) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t523 @t1030) @t548)))) % 0.34/0.99 (assume @p917 (forall @t541 (=> @t540 @t1043))) % 0.34/0.99 (assume @p918 (forall @t541 (=> @t540 (=> (not (= @t1030 @t523)) @t1049)))) % 0.34/0.99 (assume @p919 (forall @t227 (=> @t543 (=> @t847 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1050 @t224))))) % 0.34/0.99 (assume @p920 (forall @t541 (=> @t1043 (=> @t874 @t548)))) % 0.34/0.99 (assume @p921 (forall @t541 (=> @t1049 @t540))) % 0.34/0.99 (assume @p922 (forall @t541 (=> @t1031 @t540))) % 0.34/0.99 (assume @p923 (forall @t538 (= (= @t1047 @t1046) @t529))) % 0.34/0.99 (assume @p924 (forall @t566 (not (= @t509 @t1030)))) % 0.34/0.99 (assume @p925 (forall (@list @t1051) (not (= @t509 (tptp.c_Nat_OSuc @t1051))))) % 0.34/0.99 (assume @p926 (forall @t566 (not (= @t1030 @t509)))) % 0.34/0.99 (assume @p927 (forall (@list @t1052) (not (= (tptp.c_Nat_OSuc @t1052) @t509)))) % 0.34/0.99 (assume @p928 (forall @t399 (=> (= (tptp.c_Nat_OSuc @t16) (tptp.c_Nat_OSuc @t13)) @t192))) % 0.34/0.99 (assume @p929 (forall (@list @t1053 @t1054) (= (= (tptp.c_Nat_OSuc @t1054) (tptp.c_Nat_OSuc @t1053)) (= @t1054 @t1053)))) % 0.34/0.99 (assume @p930 (forall @t524 (not (= @t1029 @t523)))) % 0.34/0.99 (assume @p931 (forall @t524 (not (= @t523 @t1029)))) % 0.34/0.99 (assume @p932 (forall (@list @t527 @t85 @t780 @t779 @t14) (= (tptp.hAPP @t781 @t1035) (tptp.hAPP (tptp.hAPP @t780 @t85) (tptp.hAPP @t781 @t527))))) % 0.34/0.99 (assume @p933 (forall @t541 (= @t1056 @t1055))) % 0.34/0.99 (assume @p934 (forall @t541 (= @t1057 @t1055))) % 0.34/0.99 (assume @p935 (forall @t541 (= @t1057 @t1056))) % 0.34/0.99 (assume @p936 (forall (@list @t528 @t65) (= (= (tptp.hAPP @t733 @t528) @t1027) (or @t592 (= @t65 @t1027))))) % 0.34/0.99 (assume @p937 (forall @t524 (= (tptp.hAPP (tptp.hAPP @t729 @t1027) @t523) @t1027))) % 0.34/0.99 (assume @p938 (forall @t687 (= (tptp.c_NthRoot_Oroot @t1027 @t16) @t16))) % 0.34/0.99 (assume @p939 (forall @t524 (= @t1029 (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t660 @t523)))) % 0.34/0.99 (assume @p940 (forall @t524 (= @t1029 @t921))) % 0.34/0.99 (assume @p941 (forall @t541 (= (tptp.hAPP (tptp.hAPP @t563 @t1030) @t523) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t523 @t628)))) % 0.34/0.99 (assume @p942 (forall @t541 (= (tptp.hAPP @t564 @t1029) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t318 @t628)))) % 0.34/0.99 (assume @p943 (= @t660 @t1027)) % 0.34/0.99 (assume @p944 (forall @t533 (= (= @t595 @t1027) (and @t1059 @t1058)))) % 0.34/0.99 (assume @p945 (forall @t533 (= (= @t593 @t1027) @t1060))) % 0.34/0.99 (assume @p946 (forall @t533 (= (= @t1027 @t593) @t1060))) % 0.34/0.99 (assume @p947 (forall @t1062 (=> @t312 (= (tptp.hAPP @t700 @t16) @t1061)))) % 0.34/0.99 (assume @p948 (forall @t1062 (=> @t312 (= @t1063 @t1061)))) % 0.34/0.99 (assume @p949 (forall @t1062 (=> @t312 (= @t1061 @t1063)))) % 0.34/0.99 (assume @p950 (forall @t715 (=> @t656 (= @t1033 @t737)))) % 0.34/0.99 (assume @p951 (forall @t715 (=> @t744 (= @t1033 @t735)))) % 0.34/0.99 (assume @p952 (forall @t738 (=> @t748 (= (tptp.hAPP @t746 @t1029) @t56)))) % 0.34/0.99 (assume @p953 (forall @t715 (=> @t378 (=> @t714 (tptp.c_Orderings_Oord__class_Oless @t14 @t638 @t1033))))) % 0.34/0.99 (assume @p954 (forall @t558 (=> @t1065 (=> @t1064 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1027 @t628))))) % 0.34/0.99 (assume @p955 (forall @t558 (=> @t1065 (=> @t1064 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t523 @t629))))) % 0.34/0.99 (assume @p956 (forall @t558 (=> @t1065 (=> @t1064 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t523 @t628))))) % 0.34/0.99 (assume @p957 (forall (@list @t225 @t523) (=> @t607 (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t523 @t1050) @t523)))) % 0.34/0.99 (assume @p958 (forall @t524 (=> @t607 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t523 @t1027)) @t523)))) % 0.34/0.99 (assume @p959 (forall @t533 (= (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1027 @t595) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1027 @t528) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1027 @t527))))) % 0.34/0.99 (assume @p960 (forall @t524 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t55 @t1066))) % 0.34/0.99 (assume @p961 (forall @t1069 (=> @t877 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t318 @t1068) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t586 @t1067))))) % 0.34/0.99 (assume @p962 (forall @t1069 (=> @t877 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1068 @t318) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1067 @t839))))) % 0.34/0.99 (assume @p963 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t1027) @t649)) % 0.34/0.99 (assume @p964 (forall @t524 (= @t1066 @t923))) % 0.34/0.99 (assume @p965 (forall @t834 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1027 @t225) (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1027 @t731)))) % 0.34/0.99 (assume @p966 (forall (@list @t523 @t129 @t14) (=> @t378 (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t56 @t129) (=> (tptp.c_Orderings_Oord__class_Oless__eq @t14 @t129 @t638) (tptp.c_Orderings_Oord__class_Oless__eq @t14 (tptp.hAPP (tptp.hAPP @t696 @t129) @t1029) @t129)))))) % 0.34/0.99 (assume @p967 (forall @t715 (=> @t378 (=> @t360 (=> @t752 (tptp.c_Orderings_Oord__class_Oless @t14 @t1033 @t638)))))) % 0.34/0.99 (assume @p968 (forall (@list @t13 @t523 @t485 @t14) (=> @t656 (=> (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t485 @t523) (= (tptp.hAPP @t698 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1029 @t485)) (tptp.hAPP (tptp.hAPP @t24 (tptp.hAPP @t698 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t523 @t485))) @t13)))))) % 0.34/0.99 (assume @p969 (forall @t524 (=> @t607 (= @t523 @t1070)))) % 0.34/0.99 (assume @p970 (forall @t524 (=> @t607 (= @t1070 @t523)))) % 0.34/0.99 (assume @p971 (forall @t541 (and (=> @t678 (= @t567 @t523)) (=> @t913 (= @t567 (tptp.c_Nat_OSuc (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat @t912 @t523))))))) % 0.34/0.99 (assume @p972 (forall @t558 (=> @t607 (and @t977 @t1072)))) % 0.34/0.99 (assume @p973 (forall @t558 (=> @t607 @t1072))) % 0.34/0.99 (assume @p974 (forall @t756 (=> @t398 (= (tptp.c_NthRoot_Oroot @t1029 (tptp.hAPP @t694 @t1029)) @t16)))) % 0.34/0.99 (assume @p975 (forall @t21 (=> (tptp.class_Rings_Ocomm__ring__1 @t14) (= (tptp.c_Groups_Ominus__class_Ominus @t14 (tptp.hAPP @t697 @t1037) (tptp.hAPP @t698 @t1037)) (tptp.hAPP @t851 @t18))))) % 0.34/0.99 (assume @p976 (forall @t1077 (=> @t958 (= @t1076 (exists @t1075 (forall @t571 (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t956 @t1074))))))) % 0.34/0.99 (assume @p977 (forall @t1077 (=> @t958 (= @t1076 (exists @t1075 (forall @t571 (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t956 @t1074))))))) % 0.34/0.99 (assume @p978 (forall (@list @t527 @t528 @t560) (= (tptp.hBOOL (tptp.hAPP @t560 @t1079)) (or (and @t590 @t813) (exists (@list @t1078) (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t602 @t1078) @t528) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t528 (tptp.hAPP @t602 (tptp.c_Nat_OSuc @t1078))) (tptp.hBOOL (tptp.hAPP @t560 @t1078)))))))) % 0.34/0.99 (assume @p979 (forall (@list @t528 @t494 @t527) (=> @t615 (= (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t602 @t494) @t528) (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t528 (tptp.hAPP @t602 (tptp.c_Nat_OSuc @t494)))) (= @t494 @t1079))))) % 0.34/0.99 (assume @p980 (forall @t558 (=> @t607 (=> @t589 @t1071)))) % 0.34/0.99 (assume @p981 (forall @t965 (=> @t397 (=> @t670 (exists @t571 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t22 @t950) @t13) @t16) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16 (tptp.hAPP (tptp.hAPP @t22 @t1080) @t13)))))))) % 0.34/0.99 (assume @p982 (forall @t131 (=> @t951 (exists @t571 (and (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t950 @t129) (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t129 @t1080)))))) % 0.34/0.99 (assume @p983 (forall @t756 (=> @t398 (= (tptp.c_Transcendental_Oln @t695) (tptp.hAPP @t945 (tptp.c_Transcendental_Oln @t16)))))) % 0.34/0.99 (assume @p984 (forall (@list @t16 @t142) (=> (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t509 @t142) (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t934 @t1081) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t16 @t142)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t16 @t142)) @t1081)))))) % 0.34/0.99 (assume @p985 (forall @t875 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1082 @t29) @t97) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t1082 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t29 @t97)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.hAPP @t1082 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t29 @t97)) @t97))))) % 0.34/0.99 (assume @p986 (forall @t875 (= (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t31 @t976) (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat (tptp.hAPP @t975 (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t974 @t97)) (tptp.c_Divides_Odiv__class_Omod tptp.tc_Nat_Onat @t31 @t29))))) % 0.34/0.99 (assume @p987 (forall @t1086 (=> @t1085 (tptp.class_Groups_Ocancel__comm__monoid__add @t1084)))) % 0.34/0.99 (assume @p988 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p989 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p991 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p992 (forall @t1089 (=> (tptp.class_Orderings_Opreorder @t1083) (tptp.class_Orderings_Opreorder @t1088)))) % 0.34/0.99 (assume @p993 (forall @t1089 (=> (tptp.class_Orderings_Oorder @t1083) (tptp.class_Orderings_Oorder @t1088)))) % 0.34/0.99 (assume @p994 (forall @t1089 (=> (tptp.class_Orderings_Oord @t1083) (tptp.class_Orderings_Oord @t1088)))) % 0.34/0.99 (assume @p995 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p996 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p997 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p998 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p999 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1000 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1001 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1002 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1003 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1004 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1005 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1006 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1007 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1008 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1009 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1010 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1011 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1012 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1013 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1014 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1015 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1016 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1017 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1018 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1019 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1020 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1021 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1022 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1023 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1024 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1025 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1026 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1027 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1028 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1029 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1030 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1031 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1032 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1033 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1034 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1035 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1036 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1037 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1038 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1039 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1040 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1041 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1042 (tptp.class_Int_Oring__char__0 tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1043 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1044 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1045 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1046 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1047 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1048 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1049 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1050 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 0.34/0.99 (assume @p1051 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1052 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1053 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1054 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1055 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1056 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1057 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1058 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1059 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1060 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1061 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1062 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1063 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1064 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1065 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1066 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1067 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1068 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1069 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1070 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1071 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1072 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1073 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1074 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1075 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1076 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1077 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1078 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1079 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1080 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1081 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1082 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1083 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1084 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1085 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1086 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 0.34/0.99 (assume @p1087 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 0.34/0.99 (assume @p1088 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 0.34/0.99 (assume @p1089 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 0.34/0.99 (assume @p1090 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1091 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1092 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1093 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1094 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1095 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1096 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1097 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1098 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1099 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1100 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1101 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1102 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1103 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1104 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1105 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1106 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1107 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1108 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1109 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1110 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1111 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1112 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1113 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1114 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1115 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1116 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1117 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1118 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1119 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1120 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1121 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1122 @t1090) % 0.34/0.99 (assume @p1123 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1124 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1125 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1126 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1127 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1128 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1129 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1130 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1131 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1132 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1133 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1134 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1135 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1136 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1137 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1138 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1139 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1140 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1141 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1142 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1143 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1144 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1145 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1146 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1147 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1148 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1149 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1150 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1151 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1152 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1153 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1154 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1155 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1156 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 0.34/0.99 (assume @p1157 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1158 @t1091) % 0.34/0.99 (assume @p1159 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1160 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1161 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1162 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1163 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1164 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1165 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1166 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1167 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1168 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1169 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1170 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1171 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1172 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1173 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1174 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1175 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1176 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1177 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1178 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1179 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1180 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1181 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1182 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1183 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1184 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1185 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1186 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1187 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1188 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1189 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1190 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1191 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1192 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1193 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1194 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1195 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1196 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 0.34/0.99 (assume @p1197 (forall @t1086 (=> @t1092 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1084)))) % 0.34/0.99 (assume @p1198 (forall @t1086 (=> @t1093 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1084)))) % 0.34/0.99 (assume @p1199 (forall @t1086 (=> @t1093 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1084)))) % 0.34/0.99 (assume @p1200 (forall @t1086 (=> @t1093 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1084)))) % 0.34/0.99 (assume @p1201 (forall @t1086 (=> @t1093 (tptp.class_Rings_Olinordered__semiring__1__strict @t1084)))) % 0.34/0.99 (assume @p1202 (forall @t1086 (=> @t1093 (tptp.class_Rings_Olinordered__semiring__strict @t1084)))) % 0.34/0.99 (assume @p1203 (forall @t1086 (=> @t1093 (tptp.class_Groups_Oordered__ab__semigroup__add @t1084)))) % 0.34/0.99 (assume @p1204 (forall @t1086 (=> @t1093 (tptp.class_Groups_Oordered__ab__group__add__abs @t1084)))) % 0.34/0.99 (assume @p1205 (forall @t1086 (=> @t1093 (tptp.class_Groups_Oordered__comm__monoid__add @t1084)))) % 0.34/0.99 (assume @p1206 (forall @t1086 (=> @t1093 (tptp.class_Groups_Olinordered__ab__group__add @t1084)))) % 0.34/0.99 (assume @p1207 (forall @t1086 (=> @t1085 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1084)))) % 0.34/0.99 (assume @p1208 (forall @t1086 (=> @t1092 (tptp.class_Rings_Oring__1__no__zero__divisors @t1084)))) % 0.34/0.99 (assume @p1209 (forall @t1086 (=> @t1093 (tptp.class_Rings_Oordered__cancel__semiring @t1084)))) % 0.34/0.99 (assume @p1210 (forall @t1086 (=> @t1093 (tptp.class_Rings_Olinordered__ring__strict @t1084)))) % 0.34/0.99 (assume @p1211 (forall @t1086 (=> @t1092 (tptp.class_Rings_Oring__no__zero__divisors @t1084)))) % 0.34/0.99 (assume @p1212 (forall @t1086 (=> @t1093 (tptp.class_Rings_Oordered__comm__semiring @t1084)))) % 0.34/0.99 (assume @p1213 (forall @t1086 (=> @t1093 (tptp.class_Rings_Olinordered__semiring__1 @t1084)))) % 0.34/0.99 (assume @p1214 (forall @t1086 (=> @t1093 (tptp.class_Groups_Oordered__ab__group__add @t1084)))) % 0.34/0.99 (assume @p1215 (forall @t1086 (=> @t1085 (tptp.class_Groups_Ocancel__semigroup__add @t1084)))) % 0.34/0.99 (assume @p1216 (forall @t1086 (=> @t1093 (tptp.class_Rings_Olinordered__semiring @t1084)))) % 0.34/0.99 (assume @p1217 (forall @t1086 (=> @t1093 (tptp.class_Rings_Olinordered__semidom @t1084)))) % 0.34/0.99 (assume @p1218 (forall @t1086 (=> @t1094 (tptp.class_Groups_Oab__semigroup__mult @t1084)))) % 0.34/0.99 (assume @p1219 (forall @t1086 (=> @t1095 (tptp.class_Groups_Ocomm__monoid__mult @t1084)))) % 0.34/0.99 (assume @p1220 (forall @t1086 (=> @t1096 (tptp.class_Groups_Oab__semigroup__add @t1084)))) % 0.34/0.99 (assume @p1221 (forall @t1086 (=> @t1093 (tptp.class_Rings_Oordered__semiring @t1084)))) % 0.34/0.99 (assume @p1222 (forall @t1086 (=> @t1093 (tptp.class_Rings_Oordered__ring__abs @t1084)))) % 0.34/0.99 (assume @p1223 (forall @t1086 (=> @t1092 (tptp.class_Rings_Ono__zero__divisors @t1084)))) % 0.34/0.99 (assume @p1224 (forall @t1086 (=> @t1096 (tptp.class_Groups_Ocomm__monoid__add @t1084)))) % 0.34/0.99 (assume @p1225 (forall @t1086 (=> @t1093 (tptp.class_Rings_Olinordered__ring @t1084)))) % 0.34/0.99 (assume @p1226 (forall @t1086 (=> @t1093 (tptp.class_Rings_Olinordered__idom @t1084)))) % 0.34/0.99 (assume @p1227 (forall @t1086 (=> @t1095 (tptp.class_Rings_Ocomm__semiring__1 @t1084)))) % 0.34/0.99 (assume @p1228 (forall @t1086 (=> @t1094 (tptp.class_Rings_Ocomm__semiring__0 @t1084)))) % 0.34/0.99 (assume @p1229 (forall @t1086 (=> (tptp.class_Fields_Ofield @t1083) (tptp.class_Divides_Osemiring__div @t1084)))) % 0.34/0.99 (assume @p1230 (forall @t1086 (=> @t1094 (tptp.class_Rings_Ocomm__semiring @t1084)))) % 0.34/0.99 (assume @p1231 (forall @t1086 (=> @t1097 (tptp.class_Groups_Oab__group__add @t1084)))) % 0.34/0.99 (assume @p1232 (forall @t1086 (=> @t1095 (tptp.class_Rings_Ozero__neq__one @t1084)))) % 0.34/0.99 (assume @p1233 (forall @t1086 (=> @t1093 (tptp.class_Rings_Oordered__ring @t1084)))) % 0.34/0.99 (assume @p1234 (forall @t1086 (=> @t1093 (tptp.class_Orderings_Opreorder @t1084)))) % 0.34/0.99 (assume @p1235 (forall @t1086 (=> @t1093 (tptp.class_Orderings_Olinorder @t1084)))) % 0.34/0.99 (assume @p1236 (forall @t1086 (=> @t1095 (tptp.class_Groups_Omonoid__mult @t1084)))) % 0.34/0.99 (assume @p1237 (forall @t1086 (=> @t1098 (tptp.class_Rings_Ocomm__ring__1 @t1084)))) % 0.34/0.99 (assume @p1238 (forall @t1086 (=> @t1096 (tptp.class_Groups_Omonoid__add @t1084)))) % 0.34/0.99 (assume @p1239 (forall @t1086 (=> @t1094 (tptp.class_Rings_Osemiring__0 @t1084)))) % 0.34/0.99 (assume @p1240 (forall @t1086 (=> @t1097 (tptp.class_Groups_Ogroup__add @t1084)))) % 0.34/0.99 (assume @p1241 (forall @t1086 (=> @t1094 (tptp.class_Rings_Omult__zero @t1084)))) % 0.34/0.99 (assume @p1242 (forall @t1086 (=> @t1099 (tptp.class_Rings_Ocomm__ring @t1084)))) % 0.34/0.99 (assume @p1243 (forall @t1086 (=> @t1093 (tptp.class_Orderings_Oorder @t1084)))) % 0.34/0.99 (assume @p1244 (forall @t1086 (=> @t1093 (tptp.class_Int_Oring__char__0 @t1084)))) % 0.34/0.99 (assume @p1245 (forall @t1086 (=> @t1094 (tptp.class_Rings_Osemiring @t1084)))) % 0.34/0.99 (assume @p1246 (forall @t1086 (=> @t1093 (tptp.class_Orderings_Oord @t1084)))) % 0.34/0.99 (assume @p1247 (forall @t1086 (=> @t1098 (tptp.class_Rings_Oring__1 @t1084)))) % 0.34/0.99 (assume @p1248 (forall @t1086 (=> @t1095 (tptp.class_Power_Opower @t1084)))) % 0.34/0.99 (assume @p1249 (forall @t1086 (=> (tptp.class_Groups_Ozero @t1083) (tptp.class_Groups_Ozero @t1084)))) % 0.34/0.99 (assume @p1250 (forall @t1086 (=> @t1099 (tptp.class_Rings_Oring @t1084)))) % 0.34/0.99 (assume @p1251 (forall @t1086 (=> @t1092 (tptp.class_Rings_Oidom @t1084)))) % 0.34/0.99 (assume @p1252 (forall @t1086 (=> @t1095 (tptp.class_Groups_Oone @t1084)))) % 0.34/0.99 (assume @p1253 (forall @t294 (or (not @t1100) @t201))) % 0.34/0.99 (assume @p1254 (forall @t294 (or @t338 @t1100))) % 0.34/0.99 (assume @p1255 @t1103) % 0.34/0.99 (assume @p1256 true) % 0.34/0.99 (step @p1257 :rule bool-impl-elim :args (@t52 @t51)) % 0.34/0.99 (step @p1258 :rule cong :premises (@p1257) :args (@t53)) % 0.34/0.99 (step @p1259 :rule eq_resolve :premises (@p14 @p1258)) % 0.34/0.99 (step @p1260 :rule instantiate :premises (@p1259) :args ((@list tptp.v_c____ tptp.v_z____ tptp.tc_Complex_Ocomplex))) % 0.34/0.99 (step @p1261 :rule cnf_or_pos :args (@t1107)) % 0.34/0.99 (step @p1262 :rule reordering :premises (@p1261) :args ((or @t1106 @t1105 (not @t1107)))) % 0.34/0.99 (step @p1263 :rule chain_m_resolution :premises (@p1262 @p1158 @p1260) :args (@t1105 @t1108 (@list @t1091 @t1107))) % 0.34/0.99 (step @p1264 :rule aci_norm :args ((= (or @t1109 (or @t420 @t456)) (or @t1109 @t420 @t456)))) % 0.34/0.99 (step @p1265 :rule bool-impl-elim :args (@t352 @t456)) % 0.34/0.99 (step @p1266 :rule refl :args (@t1109)) % 0.34/0.99 (step @p1267 :rule nary_cong :premises (@p1266 @p1265) :args ((or @t1109 @t457))) % 0.34/0.99 (step @p1268 :rule trans :premises (@p1267 @p1264)) % 0.34/0.99 (step @p1269 :rule bool-impl-elim :args (@t281 @t457)) % 0.34/0.99 (step @p1270 :rule trans :premises (@p1269 @p1268)) % 0.34/0.99 (step @p1271 :rule cong :premises (@p1270) :args (@t458)) % 0.34/0.99 (step @p1272 :rule eq_resolve :premises (@p314 @p1271)) % 0.34/0.99 (step @p1273 :rule instantiate :premises (@p1272) :args ((@list @t8 @t10 @t9 tptp.tc_RealDef_Oreal))) % 0.34/0.99 (step @p1274 :rule cnf_or_pos :args (@t1114)) % 0.34/0.99 (step @p1275 :rule reordering :premises (@p1274) :args ((or @t1112 @t1113 @t1111 (not @t1114)))) % 0.34/0.99 (step @p1276 :rule chain_m_resolution :premises (@p1275 @p152 @p1122 @p1273) :args (@t1111 (@list false false false) (@list @t307 @t1090 @t1114))) % 0.34/0.99 (step @p1277 :rule cnf_equiv_pos1 :args (@t1111)) % 0.34/0.99 (step @p1278 :rule reordering :premises (@p1277) :args ((or (not @t11) @t1110 (not @t1111)))) % 0.34/0.99 (step @p1279 :rule chain_m_resolution :premises (@p1278 @p3 @p1276) :args (@t1110 @t1108 (@list @t11 @t1111))) % 0.34/0.99 (step @p1280 :rule refl :args (@t1115)) % 0.34/0.99 (step @p1281 :rule refl :args (@t1116)) % 0.34/0.99 (step @p1282 :rule bool-double-not-elim :args (@t1102)) % 0.34/0.99 (step @p1283 :rule nary_cong :premises (@p1282 @p1281 @p1280) :args ((or (not @t1103) @t1116 @t1115))) % 0.34/0.99 (assume-push @p1301 @t1103) % 0.34/0.99 (assume-push @p1302 @t1105) % 0.34/0.99 (step @p1286 :rule false_intro :premises (@p1255)) % 0.34/0.99 (step @p1287 :rule symm :premises (@p1263)) % 0.34/1.00 (step @p1288 :rule refl :args (@t10)) % 0.34/1.00 (step @p1289 :rule refl :args (tptp.tc_RealDef_Oreal)) % 0.34/1.00 (step @p1290 :rule cong :premises (@p1289 @p1288 @p1287) :args (@t1110)) % 0.34/1.00 (step @p1291 :rule trans :premises (@p1290 @p1286)) % 0.34/1.00 (step @p1292 :rule false_elim :premises (@p1291)) % 0.34/1.00 (step-pop @p1303 :rule scope :premises (@p1292)) % 0.34/1.00 (step-pop @p1304 :rule scope :premises (@p1303)) % 0.34/1.00 (step @p1293 :rule process_scope :premises (@p1304) :args (@t1115)) % 0.34/1.00 (step @p1296 :rule implies_elim :premises (@p1293)) % 0.34/1.00 (step @p1297 :rule cnf_and_neg :args (@t1117)) % 0.34/1.00 (step @p1298 :rule resolution :premises (@p1297 @p1296) :args (true @t1117)) % 0.34/1.00 (step @p1299 :rule eq_resolve :premises (@p1298 @p1283)) % 0.34/1.00 (step @p1300 false :rule chain_m_resolution :premises (@p1299 @p1279 @p1263 @p1255) :args (false (@list false false true) (@list @t1110 @t1105 @t1102))) % 0.34/1.00 ) % 0.34/1.00 % SZS output end Proof % 0.34/1.00 % cvc5 exiting %------------------------------------------------------------------------------