%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW208+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n015.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 09:04:31 AM UTC 2026 % Result : Theorem 1.23s 1.47s % Output : Proof 1.23s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW208+1 : TPTP v9.2.1. Released v5.2.0. % 0.14/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.18/0.34 % Computer : n015.cluster.edu % 0.18/0.34 % Model : x86_64 x86_64 % 0.18/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.18/0.34 % Memory : 8042.1875MB % 0.18/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.18/0.34 % CPULimit : 300 % 0.18/0.34 % WCLimit : 300 % 0.18/0.34 % DateTime : Tue Jun 2 21:39:49 EDT 2026 % 0.18/0.34 % CPUTime : % 0.45/0.77 %----Proving TF0_NAR, FOF, or CNF % 1.23/1.47 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.23/1.47 % SZS status Theorem % 1.23/1.47 % SZS output start Proof % 1.23/1.47 ( % 1.23/1.47 (declare-sort $$unsorted 0) % 1.23/1.47 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.23/1.47 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.v_f____ $$unsorted) % 1.23/1.47 (declare-const tptp.c_Transcendental_Ocos (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_SEQ_Omonoseq (-> $$unsorted $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Complex_OIm $$unsorted) % 1.23/1.47 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_RealVector_Oreal__field (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Transcendental_Osin (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.v_s $$unsorted) % 1.23/1.47 (declare-const tptp.class_Groups_Osgn__if (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.23/1.47 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Odivision__ring__inverse__zero (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Complex_ORe $$unsorted) % 1.23/1.47 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_SEQ_Osubseq (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Groups_Osgn__class_Osgn (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.v_r $$unsorted) % 1.23/1.47 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.23/1.47 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.23/1.47 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Fields_Olinordered__field__inverse__zero (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__size (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_RealVector_Ometric__space (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_SEQ_Oconvergent (-> $$unsorted $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_COMBS (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Fields_Olinordered__field (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.23/1.47 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.v_ga____ $$unsorted) % 1.23/1.47 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Complex_Ocis (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Transcendental_Oarccos (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.23/1.47 (declare-const tptp.c_Complex_Ocomplex_OComplex (-> $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Complex_Oarg (-> $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.23/1.47 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.23/1.47 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.23/1.47 (define @t1 () (@var "V_gb_2" $$unsorted)) % 1.23/1.47 (define @t2 () (@var "V_fa_2" $$unsorted)) % 1.23/1.47 (define @t3 () (@var "B_x" $$unsorted)) % 1.23/1.47 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.23/1.47 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.23/1.47 (define @t6 () (@list @t3)) % 1.23/1.47 (define @t7 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.23/1.47 (define @t8 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7)) % 1.23/1.47 (define @t9 () (tptp.hBOOL (tptp.hAPP @t8 tptp.v_r))) % 1.23/1.47 (define @t10 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.23/1.47 (define @t11 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal)) % 1.23/1.47 (define @t12 () (tptp.hAPP (tptp.hAPP @t11 tptp.v_r) @t10)) % 1.23/1.47 (define @t13 () (@var "B_n" $$unsorted)) % 1.23/1.47 (define @t14 () (tptp.hAPP tptp.v_s @t13)) % 1.23/1.47 (define @t15 () (@list @t13)) % 1.23/1.47 (define @t16 () (@var "V_x" $$unsorted)) % 1.23/1.47 (define @t17 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t16)) % 1.23/1.47 (define @t18 () (tptp.hAPP @t11 @t10)) % 1.23/1.47 (define @t19 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7)) % 1.23/1.47 (define @t20 () (@list @t16)) % 1.23/1.47 (define @t21 () (@var "T_a" $$unsorted)) % 1.23/1.47 (define @t22 () (tptp.c_Groups_Oone__class_Oone @t21)) % 1.23/1.47 (define @t23 () (tptp.c_Groups_Oplus__class_Oplus @t21)) % 1.23/1.47 (define @t24 () (tptp.hAPP (tptp.hAPP @t23 @t22) @t22)) % 1.23/1.47 (define @t25 () (tptp.c_Groups_Ozero__class_Ozero @t21)) % 1.23/1.47 (define @t26 () (tptp.c_Orderings_Oord__class_Oless @t21 @t25)) % 1.23/1.47 (define @t27 () (tptp.class_Rings_Olinordered__semidom @t21)) % 1.23/1.47 (define @t28 () (@list @t21)) % 1.23/1.47 (define @t29 () (@var "V_b" $$unsorted)) % 1.23/1.47 (define @t30 () (@var "V_a" $$unsorted)) % 1.23/1.47 (define @t31 () (tptp.hAPP @t23 @t30)) % 1.23/1.47 (define @t32 () (tptp.hAPP @t31 @t29)) % 1.23/1.47 (define @t33 () (tptp.hBOOL (tptp.hAPP @t26 @t32))) % 1.23/1.47 (define @t34 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t25)) % 1.23/1.47 (define @t35 () (tptp.hBOOL (tptp.hAPP @t34 @t29))) % 1.23/1.47 (define @t36 () (tptp.hBOOL (tptp.hAPP @t26 @t30))) % 1.23/1.47 (define @t37 () (tptp.class_Groups_Oordered__comm__monoid__add @t21)) % 1.23/1.47 (define @t38 () (@list @t29 @t30 @t21)) % 1.23/1.47 (define @t39 () (tptp.hBOOL (tptp.hAPP @t26 @t29))) % 1.23/1.47 (define @t40 () (=> @t39 @t33)) % 1.23/1.47 (define @t41 () (tptp.hBOOL (tptp.hAPP @t34 @t30))) % 1.23/1.47 (define @t42 () (=> @t41 @t40)) % 1.23/1.47 (define @t43 () (forall @t38 (=> @t37 @t42))) % 1.23/1.47 (define @t44 () (@var "V_c" $$unsorted)) % 1.23/1.47 (define @t45 () (tptp.hAPP @t31 @t44)) % 1.23/1.47 (define @t46 () (tptp.c_Orderings_Oord__class_Oless @t21 @t29)) % 1.23/1.47 (define @t47 () (tptp.hBOOL (tptp.hAPP @t46 @t45))) % 1.23/1.47 (define @t48 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t29)) % 1.23/1.47 (define @t49 () (tptp.hBOOL (tptp.hAPP @t48 @t44))) % 1.23/1.47 (define @t50 () (@list @t44 @t29 @t30 @t21)) % 1.23/1.47 (define @t51 () (tptp.hBOOL (tptp.hAPP @t46 @t44))) % 1.23/1.47 (define @t52 () (=> @t51 @t47)) % 1.23/1.47 (define @t53 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t32) @t25))) % 1.23/1.47 (define @t54 () (tptp.hBOOL (tptp.hAPP @t48 @t25))) % 1.23/1.47 (define @t55 () (tptp.c_Orderings_Oord__class_Oless @t21 @t30)) % 1.23/1.47 (define @t56 () (tptp.hBOOL (tptp.hAPP @t55 @t25))) % 1.23/1.47 (define @t57 () (tptp.hBOOL (tptp.hAPP @t46 @t25))) % 1.23/1.47 (define @t58 () (=> @t57 @t53)) % 1.23/1.47 (define @t59 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t30)) % 1.23/1.47 (define @t60 () (tptp.hBOOL (tptp.hAPP @t59 @t25))) % 1.23/1.47 (define @t61 () (tptp.c_Groups_Oabs__class_Oabs @t21 @t29)) % 1.23/1.47 (define @t62 () (tptp.c_Groups_Oabs__class_Oabs @t21 @t30)) % 1.23/1.47 (define @t63 () (tptp.hAPP (tptp.hAPP @t23 @t62) @t61)) % 1.23/1.47 (define @t64 () (tptp.class_Groups_Oordered__ab__group__add__abs @t21)) % 1.23/1.47 (define @t65 () (tptp.c_Orderings_Oord__class_Oless @t21 @t62)) % 1.23/1.47 (define @t66 () (@list @t30 @t21)) % 1.23/1.47 (define @t67 () (@var "V_a_2" $$unsorted)) % 1.23/1.47 (define @t68 () (= @t67 @t25)) % 1.23/1.47 (define @t69 () (tptp.c_Groups_Oabs__class_Oabs @t21 @t67)) % 1.23/1.47 (define @t70 () (@list @t67 @t21)) % 1.23/1.47 (define @t71 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.23/1.47 (define @t72 () (@var "V_z" $$unsorted)) % 1.23/1.47 (define @t73 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t72)) % 1.23/1.47 (define @t74 () (@var "V_w" $$unsorted)) % 1.23/1.47 (define @t75 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex)) % 1.23/1.47 (define @t76 () (@list @t72 @t74)) % 1.23/1.47 (define @t77 () (@var "V_x_2" $$unsorted)) % 1.23/1.47 (define @t78 () (= @t77 @t25)) % 1.23/1.47 (define @t79 () (tptp.class_Groups_Ozero @t21)) % 1.23/1.47 (define @t80 () (@list @t77 @t21)) % 1.23/1.47 (define @t81 () (@var "V_y" $$unsorted)) % 1.23/1.47 (define @t82 () (tptp.c_Orderings_Oord__class_Oless @t21 @t81)) % 1.23/1.47 (define @t83 () (tptp.hBOOL (tptp.hAPP @t82 @t16))) % 1.23/1.47 (define @t84 () (tptp.c_Orderings_Oord__class_Oless @t21 @t16)) % 1.23/1.47 (define @t85 () (tptp.hBOOL (tptp.hAPP @t84 @t81))) % 1.23/1.47 (define @t86 () (not @t85)) % 1.23/1.47 (define @t87 () (= @t16 @t81)) % 1.23/1.47 (define @t88 () (not @t87)) % 1.23/1.47 (define @t89 () (=> @t88 (=> @t86 @t83))) % 1.23/1.47 (define @t90 () (tptp.class_Rings_Olinordered__idom @t21)) % 1.23/1.47 (define @t91 () (@list @t81 @t16 @t21)) % 1.23/1.47 (define @t92 () (= @t29 @t44)) % 1.23/1.47 (define @t93 () (tptp.hAPP @t23 @t44)) % 1.23/1.47 (define @t94 () (tptp.hAPP @t93 @t30)) % 1.23/1.47 (define @t95 () (tptp.hAPP @t23 @t29)) % 1.23/1.47 (define @t96 () (tptp.hAPP @t95 @t30)) % 1.23/1.47 (define @t97 () (tptp.class_Groups_Ocancel__semigroup__add @t21)) % 1.23/1.47 (define @t98 () (@list @t44 @t30 @t29 @t21)) % 1.23/1.47 (define @t99 () (=> (= @t32 @t45) @t92)) % 1.23/1.47 (define @t100 () (@var "V_c_2" $$unsorted)) % 1.23/1.47 (define @t101 () (@var "V_b_2" $$unsorted)) % 1.23/1.47 (define @t102 () (= @t101 @t100)) % 1.23/1.47 (define @t103 () (tptp.hAPP @t23 @t100)) % 1.23/1.47 (define @t104 () (tptp.hAPP @t103 @t67)) % 1.23/1.47 (define @t105 () (tptp.hAPP @t23 @t101)) % 1.23/1.47 (define @t106 () (tptp.hAPP @t105 @t67)) % 1.23/1.47 (define @t107 () (tptp.hAPP @t23 @t67)) % 1.23/1.47 (define @t108 () (tptp.hAPP @t107 @t100)) % 1.23/1.47 (define @t109 () (tptp.hAPP @t95 @t44)) % 1.23/1.47 (define @t110 () (tptp.hAPP @t23 @t32)) % 1.23/1.47 (define @t111 () (tptp.hAPP @t110 @t44)) % 1.23/1.47 (define @t112 () (= @t111 (tptp.hAPP @t31 @t109))) % 1.23/1.47 (define @t113 () (= @t72 @t74)) % 1.23/1.47 (define @t114 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t74)) % 1.23/1.47 (define @t115 () (tptp.hBOOL (tptp.hAPP @t114 @t72))) % 1.23/1.47 (define @t116 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t72) @t74))) % 1.23/1.47 (define @t117 () (@list @t74 @t72)) % 1.23/1.47 (define @t118 () (@var "V_k" $$unsorted)) % 1.23/1.47 (define @t119 () (@var "V_i" $$unsorted)) % 1.23/1.47 (define @t120 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t119)) % 1.23/1.47 (define @t121 () (@var "V_j" $$unsorted)) % 1.23/1.47 (define @t122 () (@list @t118 @t121 @t119)) % 1.23/1.47 (define @t123 () (@list @t74)) % 1.23/1.47 (define @t124 () (= (tptp.hAPP @t31 @t25) @t30)) % 1.23/1.47 (define @t125 () (tptp.class_Groups_Ocomm__monoid__add @t21)) % 1.23/1.47 (define @t126 () (tptp.class_Groups_Omonoid__add @t21)) % 1.23/1.47 (define @t127 () (tptp.hAPP @t107 @t67)) % 1.23/1.47 (define @t128 () (tptp.class_Groups_Olinordered__ab__group__add @t21)) % 1.23/1.47 (define @t129 () (= (tptp.hAPP (tptp.hAPP @t23 @t25) @t30) @t30)) % 1.23/1.47 (define @t130 () (tptp.hBOOL (tptp.hAPP @t59 @t29))) % 1.23/1.47 (define @t131 () (tptp.hAPP @t93 @t29)) % 1.23/1.47 (define @t132 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t94) @t131))) % 1.23/1.47 (define @t133 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t21)) % 1.23/1.47 (define @t134 () (@list @t29 @t30 @t44 @t21)) % 1.23/1.47 (define @t135 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t45)) % 1.23/1.47 (define @t136 () (tptp.hBOOL (tptp.hAPP @t135 @t109))) % 1.23/1.47 (define @t137 () (@list @t29 @t44 @t30 @t21)) % 1.23/1.47 (define @t138 () (@var "V_d" $$unsorted)) % 1.23/1.47 (define @t139 () (tptp.hAPP @t95 @t138)) % 1.23/1.47 (define @t140 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t44)) % 1.23/1.47 (define @t141 () (tptp.hBOOL (tptp.hAPP @t140 @t138))) % 1.23/1.47 (define @t142 () (tptp.class_Groups_Oordered__ab__semigroup__add @t21)) % 1.23/1.47 (define @t143 () (@list @t138 @t44 @t29 @t30 @t21)) % 1.23/1.47 (define @t144 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t67)) % 1.23/1.47 (define @t145 () (tptp.hBOOL (tptp.hAPP @t144 @t101))) % 1.23/1.47 (define @t146 () (tptp.hAPP @t103 @t101)) % 1.23/1.47 (define @t147 () (@list @t101 @t67 @t100 @t21)) % 1.23/1.47 (define @t148 () (tptp.hAPP @t105 @t100)) % 1.23/1.47 (define @t149 () (@list @t101 @t100 @t67 @t21)) % 1.23/1.47 (define @t150 () (tptp.hBOOL (tptp.hAPP @t55 @t29))) % 1.23/1.47 (define @t151 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t94) @t131))) % 1.23/1.47 (define @t152 () (tptp.c_Orderings_Oord__class_Oless @t21 @t45)) % 1.23/1.47 (define @t153 () (tptp.hBOOL (tptp.hAPP @t152 @t109))) % 1.23/1.47 (define @t154 () (tptp.hBOOL (tptp.hAPP @t152 @t139))) % 1.23/1.47 (define @t155 () (tptp.c_Orderings_Oord__class_Oless @t21 @t44)) % 1.23/1.47 (define @t156 () (tptp.hBOOL (tptp.hAPP @t155 @t138))) % 1.23/1.47 (define @t157 () (=> @t156 @t154)) % 1.23/1.47 (define @t158 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t21)) % 1.23/1.47 (define @t159 () (tptp.c_Orderings_Oord__class_Oless @t21 @t67)) % 1.23/1.47 (define @t160 () (tptp.hBOOL (tptp.hAPP @t159 @t101))) % 1.23/1.47 (define @t161 () (tptp.class_Rings_Ozero__neq__one @t21)) % 1.23/1.47 (define @t162 () (@var "V_y_2" $$unsorted)) % 1.23/1.47 (define @t163 () (= @t77 @t162)) % 1.23/1.47 (define @t164 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t77)) % 1.23/1.47 (define @t165 () (tptp.hBOOL (tptp.hAPP @t164 @t162))) % 1.23/1.47 (define @t166 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t77)) % 1.23/1.47 (define @t167 () (tptp.hBOOL (tptp.hAPP @t166 @t162))) % 1.23/1.47 (define @t168 () (@list @t162 @t77)) % 1.23/1.47 (define @t169 () (not @t163)) % 1.23/1.47 (define @t170 () (tptp.hAPP @t11 @t72)) % 1.23/1.47 (define @t171 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t16)) % 1.23/1.47 (define @t172 () (tptp.hBOOL (tptp.hAPP @t171 @t81))) % 1.23/1.47 (define @t173 () (@list @t72 @t81 @t16)) % 1.23/1.47 (define @t174 () (tptp.hBOOL (tptp.hAPP @t48 @t45))) % 1.23/1.47 (define @t175 () (tptp.hBOOL (tptp.hAPP @t48 @t30))) % 1.23/1.47 (define @t176 () (tptp.hBOOL (tptp.hAPP @t34 @t44))) % 1.23/1.47 (define @t177 () (@list @t30 @t29 @t44 @t21)) % 1.23/1.47 (define @t178 () (= @t162 @t25)) % 1.23/1.47 (define @t179 () (and @t78 @t178)) % 1.23/1.47 (define @t180 () (@list @t162 @t77 @t21)) % 1.23/1.47 (define @t181 () (tptp.hBOOL (tptp.hAPP @t144 @t25))) % 1.23/1.47 (define @t182 () (tptp.hBOOL (tptp.hAPP @t34 @t67))) % 1.23/1.47 (define @t183 () (tptp.hBOOL (tptp.hAPP @t159 @t25))) % 1.23/1.47 (define @t184 () (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t127) @t25)) @t183)) % 1.23/1.47 (define @t185 () (tptp.hBOOL (tptp.hAPP @t26 @t67))) % 1.23/1.47 (define @t186 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t22)) % 1.23/1.47 (define @t187 () (tptp.hBOOL (tptp.hAPP @t26 @t22))) % 1.23/1.47 (define @t188 () (forall @t28 (=> @t27 @t187))) % 1.23/1.47 (define @t189 () (tptp.c_Orderings_Oord__class_Oless @t21 @t22)) % 1.23/1.47 (define @t190 () (tptp.hAPP @t31 @t22)) % 1.23/1.47 (define @t191 () (= @t62 @t30)) % 1.23/1.47 (define @t192 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t16)) % 1.23/1.47 (define @t193 () (tptp.hAPP tptp.c_Complex_OIm @t16)) % 1.23/1.47 (define @t194 () (@var "V_s" $$unsorted)) % 1.23/1.47 (define @t195 () (@var "V_r" $$unsorted)) % 1.23/1.47 (define @t196 () (tptp.hAPP @t23 @t16)) % 1.23/1.47 (define @t197 () (tptp.hAPP @t196 @t81)) % 1.23/1.47 (define @t198 () (tptp.c_RealVector_Onorm__class_Onorm @t21 @t197)) % 1.23/1.47 (define @t199 () (tptp.c_RealVector_Onorm__class_Onorm @t21 @t81)) % 1.23/1.47 (define @t200 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t199) @t194))) % 1.23/1.47 (define @t201 () (tptp.c_RealVector_Onorm__class_Onorm @t21 @t16)) % 1.23/1.47 (define @t202 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t201)) % 1.23/1.47 (define @t203 () (tptp.hBOOL (tptp.hAPP @t202 @t195))) % 1.23/1.47 (define @t204 () (tptp.class_RealVector_Oreal__normed__vector @t21)) % 1.23/1.47 (define @t205 () (@list @t194 @t81 @t195 @t16 @t21)) % 1.23/1.47 (define @t206 () (not @t78)) % 1.23/1.47 (define @t207 () (tptp.c_RealVector_Onorm__class_Onorm @t21 @t77)) % 1.23/1.47 (define @t208 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t21)) % 1.23/1.47 (define @t209 () (@list @t16 @t21)) % 1.23/1.47 (define @t210 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t16)) % 1.23/1.47 (define @t211 () (tptp.class_Orderings_Opreorder @t21)) % 1.23/1.47 (define @t212 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t195)) % 1.23/1.47 (define @t213 () (@list @t195)) % 1.23/1.47 (define @t214 () (@var "T_b" $$unsorted)) % 1.23/1.47 (define @t215 () (tptp.tc_fun @t21 @t214)) % 1.23/1.47 (define @t216 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t215 @t2) @t1))) % 1.23/1.47 (define @t217 () (tptp.class_Orderings_Oord @t214)) % 1.23/1.47 (define @t218 () (@list @t1 @t2 @t21 @t214)) % 1.23/1.47 (define @t219 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t81)) % 1.23/1.47 (define @t220 () (tptp.hBOOL (tptp.hAPP @t219 @t16))) % 1.23/1.47 (define @t221 () (tptp.hBOOL (tptp.hAPP @t210 @t81))) % 1.23/1.47 (define @t222 () (tptp.class_Orderings_Olinorder @t21)) % 1.23/1.47 (define @t223 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t162) @t77))) % 1.23/1.47 (define @t224 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t77) @t162))) % 1.23/1.47 (define @t225 () (tptp.class_Orderings_Oorder @t21)) % 1.23/1.47 (define @t226 () (= @t224 @t163)) % 1.23/1.47 (define @t227 () (@list @t77 @t162 @t21)) % 1.23/1.47 (define @t228 () (tptp.hBOOL (tptp.hAPP @t59 @t44))) % 1.23/1.47 (define @t229 () (= @t30 @t29)) % 1.23/1.47 (define @t230 () (tptp.class_Orderings_Oord @t21)) % 1.23/1.47 (define @t231 () (tptp.hBOOL (tptp.hAPP @t140 @t30))) % 1.23/1.47 (define @t232 () (tptp.hBOOL (tptp.hAPP @t219 @t72))) % 1.23/1.47 (define @t233 () (@list @t72 @t81 @t16 @t21)) % 1.23/1.47 (define @t234 () (@list @t16 @t81 @t21)) % 1.23/1.47 (define @t235 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t72)) % 1.23/1.47 (define @t236 () (tptp.hBOOL (tptp.hAPP @t235 @t81))) % 1.23/1.47 (define @t237 () (@list @t72 @t16 @t81 @t21)) % 1.23/1.47 (define @t238 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t162) @t77))) % 1.23/1.47 (define @t239 () (tptp.c_Orderings_Oord__class_Oless @t21 @t77)) % 1.23/1.47 (define @t240 () (tptp.hBOOL (tptp.hAPP @t239 @t162))) % 1.23/1.47 (define @t241 () (not @t240)) % 1.23/1.47 (define @t242 () (= @t241 @t163)) % 1.23/1.47 (define @t243 () (tptp.hBOOL (tptp.hAPP @t46 @t30))) % 1.23/1.47 (define @t244 () (@list @t30 @t29 @t21)) % 1.23/1.47 (define @t245 () (tptp.hBOOL (tptp.hAPP @t55 @t44))) % 1.23/1.47 (define @t246 () (tptp.hBOOL (tptp.hAPP @t155 @t30))) % 1.23/1.47 (define @t247 () (tptp.hBOOL (tptp.hAPP @t84 @t72))) % 1.23/1.47 (define @t248 () (=> (tptp.hBOOL (tptp.hAPP @t82 @t72)) @t247)) % 1.23/1.47 (define @t249 () (tptp.c_Orderings_Oord__class_Oless @t21 @t72)) % 1.23/1.47 (define @t250 () (tptp.hBOOL (tptp.hAPP @t249 @t16))) % 1.23/1.47 (define @t251 () (=> (tptp.hBOOL (tptp.hAPP @t249 @t81)) @t250)) % 1.23/1.47 (define @t252 () (not @t229)) % 1.23/1.47 (define @t253 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.23/1.47 (define @t254 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.23/1.47 (define @t255 () (tptp.c_RealVector_Onorm__class_Onorm @t21 @t30)) % 1.23/1.47 (define @t256 () (tptp.hAPP tptp.c_Complex_OIm @t81)) % 1.23/1.47 (define @t257 () (tptp.hAPP (tptp.hAPP @t11 @t193) @t256)) % 1.23/1.47 (define @t258 () (tptp.hAPP (tptp.hAPP @t75 @t16) @t81)) % 1.23/1.47 (define @t259 () (@list @t81 @t16)) % 1.23/1.47 (define @t260 () (@var "V_n" $$unsorted)) % 1.23/1.47 (define @t261 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t71)) % 1.23/1.47 (define @t262 () (@list @t260)) % 1.23/1.47 (define @t263 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t260)) % 1.23/1.47 (define @t264 () (tptp.class_Rings_Ocomm__semiring__1 @t21)) % 1.23/1.47 (define @t265 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t21)) % 1.23/1.47 (define @t266 () (@list @t67 @t101 @t21)) % 1.23/1.47 (define @t267 () (tptp.c_Groups_Osgn__class_Osgn @t21 @t16)) % 1.23/1.47 (define @t268 () (tptp.c_RealVector_Onorm__class_Onorm @t21 @t267)) % 1.23/1.47 (define @t269 () (= @t16 @t25)) % 1.23/1.47 (define @t270 () (@var "V_p_2" $$unsorted)) % 1.23/1.47 (define @t271 () (@var "V_v" $$unsorted)) % 1.23/1.47 (define @t272 () (tptp.c_Groups_Otimes__class_Otimes @t21)) % 1.23/1.47 (define @t273 () (@var "V_u" $$unsorted)) % 1.23/1.47 (define @t274 () (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP (tptp.hAPP @t272 @t273) @t16)) (tptp.hAPP (tptp.hAPP @t272 @t271) @t81))) % 1.23/1.47 (define @t275 () (= (tptp.hAPP (tptp.hAPP @t23 @t273) @t271) @t22)) % 1.23/1.47 (define @t276 () (tptp.hBOOL (tptp.hAPP @t34 @t271))) % 1.23/1.47 (define @t277 () (tptp.hBOOL (tptp.hAPP @t34 @t273))) % 1.23/1.47 (define @t278 () (@list @t271 @t273 @t81 @t30 @t16 @t21)) % 1.23/1.47 (define @t279 () (tptp.c_COMBB tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_Nat_Onat tptp.c_Complex_ORe (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Complex_Ocomplex tptp.tc_Nat_Onat tptp.v_s tptp.v_f____))) % 1.23/1.47 (define @t280 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 1.23/1.47 (define @t281 () (tptp.hAPP @t280 @t119)) % 1.23/1.47 (define @t282 () (tptp.hAPP @t281 @t121)) % 1.23/1.47 (define @t283 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t282)) % 1.23/1.47 (define @t284 () (tptp.hAPP @t280 @t121)) % 1.23/1.47 (define @t285 () (tptp.hAPP @t284 @t119)) % 1.23/1.47 (define @t286 () (@var "V_m" $$unsorted)) % 1.23/1.47 (define @t287 () (tptp.hAPP @t280 @t286)) % 1.23/1.47 (define @t288 () (tptp.hAPP @t287 @t260)) % 1.23/1.47 (define @t289 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t260)) % 1.23/1.47 (define @t290 () (@list @t286 @t260)) % 1.23/1.47 (define @t291 () (tptp.hAPP @t280 @t260)) % 1.23/1.47 (define @t292 () (tptp.hAPP @t291 @t286)) % 1.23/1.47 (define @t293 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.23/1.47 (define @t294 () (tptp.hAPP (tptp.hAPP @t293 @t201) @t199)) % 1.23/1.47 (define @t295 () (tptp.hAPP @t272 @t16)) % 1.23/1.47 (define @t296 () (tptp.hAPP @t295 @t81)) % 1.23/1.47 (define @t297 () (tptp.c_RealVector_Onorm__class_Onorm @t21 @t296)) % 1.23/1.47 (define @t298 () (tptp.class_RealVector_Oreal__normed__div__algebra @t21)) % 1.23/1.47 (define @t299 () (@var "B_k" $$unsorted)) % 1.23/1.47 (define @t300 () (@var "V_m_2" $$unsorted)) % 1.23/1.47 (define @t301 () (tptp.hAPP @t280 @t300)) % 1.23/1.47 (define @t302 () (tptp.hAPP @t301 @t299)) % 1.23/1.47 (define @t303 () (@var "V_n_2" $$unsorted)) % 1.23/1.47 (define @t304 () (@list @t299)) % 1.23/1.47 (define @t305 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t300)) % 1.23/1.47 (define @t306 () (tptp.hBOOL (tptp.hAPP @t305 @t303))) % 1.23/1.47 (define @t307 () (@list @t303 @t300)) % 1.23/1.47 (define @t308 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t300)) % 1.23/1.47 (define @t309 () (tptp.hBOOL (tptp.hAPP @t308 @t303))) % 1.23/1.47 (define @t310 () (@var "V_k_2" $$unsorted)) % 1.23/1.47 (define @t311 () (tptp.hAPP @t280 @t310)) % 1.23/1.47 (define @t312 () (tptp.hAPP @t311 @t303)) % 1.23/1.47 (define @t313 () (tptp.hAPP @t311 @t300)) % 1.23/1.47 (define @t314 () (@list @t303 @t300 @t310)) % 1.23/1.47 (define @t315 () (tptp.hAPP @t284 @t286)) % 1.23/1.47 (define @t316 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t119)) % 1.23/1.47 (define @t317 () (tptp.hBOOL (tptp.hAPP @t316 @t121))) % 1.23/1.47 (define @t318 () (@list @t286 @t121 @t119)) % 1.23/1.47 (define @t319 () (tptp.hAPP @t287 @t121)) % 1.23/1.47 (define @t320 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t119)) % 1.23/1.47 (define @t321 () (tptp.hBOOL (tptp.hAPP @t320 @t121))) % 1.23/1.47 (define @t322 () (tptp.hAPP @t284 @t118)) % 1.23/1.47 (define @t323 () (tptp.hAPP @t281 @t118)) % 1.23/1.47 (define @t324 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t323)) % 1.23/1.47 (define @t325 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t323)) % 1.23/1.47 (define @t326 () (@var "V_l" $$unsorted)) % 1.23/1.47 (define @t327 () (tptp.hAPP @t284 @t326)) % 1.23/1.47 (define @t328 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118) @t326))) % 1.23/1.47 (define @t329 () (@list @t326 @t118 @t121 @t119)) % 1.23/1.47 (define @t330 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118)) % 1.23/1.47 (define @t331 () (tptp.hBOOL (tptp.hAPP @t330 @t326))) % 1.23/1.47 (define @t332 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t286)) % 1.23/1.47 (define @t333 () (tptp.hBOOL (tptp.hAPP @t332 @t260))) % 1.23/1.47 (define @t334 () (tptp.hAPP @t280 @t118)) % 1.23/1.47 (define @t335 () (tptp.hAPP @t334 @t260)) % 1.23/1.47 (define @t336 () (tptp.hBOOL (tptp.hAPP @t330 @t260))) % 1.23/1.47 (define @t337 () (tptp.hAPP @t287 @t118)) % 1.23/1.47 (define @t338 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t337) @t260))) % 1.23/1.47 (define @t339 () (@list @t260 @t118 @t286)) % 1.23/1.47 (define @t340 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t286)) % 1.23/1.47 (define @t341 () (tptp.hBOOL (tptp.hAPP @t340 @t260))) % 1.23/1.47 (define @t342 () (tptp.hAPP @t272 @t267)) % 1.23/1.47 (define @t343 () (tptp.hAPP @t272 @t29)) % 1.23/1.47 (define @t344 () (tptp.hAPP @t343 @t30)) % 1.23/1.47 (define @t345 () (tptp.hAPP @t272 @t30)) % 1.23/1.47 (define @t346 () (tptp.hAPP @t345 @t29)) % 1.23/1.47 (define @t347 () (@var "V_ry" $$unsorted)) % 1.23/1.47 (define @t348 () (@var "V_lx" $$unsorted)) % 1.23/1.47 (define @t349 () (tptp.hAPP @t272 @t348)) % 1.23/1.47 (define @t350 () (@var "V_rx" $$unsorted)) % 1.23/1.47 (define @t351 () (tptp.hAPP @t272 @t350)) % 1.23/1.47 (define @t352 () (tptp.hAPP @t351 @t347)) % 1.23/1.47 (define @t353 () (tptp.hAPP @t349 @t352)) % 1.23/1.47 (define @t354 () (@list @t347 @t350 @t348 @t21)) % 1.23/1.47 (define @t355 () (tptp.hAPP @t272 (tptp.hAPP @t349 @t350))) % 1.23/1.47 (define @t356 () (@var "V_ly" $$unsorted)) % 1.23/1.47 (define @t357 () (tptp.hAPP @t272 @t356)) % 1.23/1.47 (define @t358 () (tptp.hAPP @t272 (tptp.hAPP @t349 @t356))) % 1.23/1.47 (define @t359 () (tptp.hAPP @t358 @t350)) % 1.23/1.47 (define @t360 () (@list @t350 @t356 @t348 @t21)) % 1.23/1.47 (define @t361 () (tptp.hAPP @t358 @t352)) % 1.23/1.47 (define @t362 () (@list @t347 @t350 @t356 @t348 @t21)) % 1.23/1.47 (define @t363 () (@var "V_P_2" $$unsorted)) % 1.23/1.47 (define @t364 () (tptp.hAPP @t363 @t303)) % 1.23/1.47 (define @t365 () (tptp.hBOOL (tptp.hAPP @t364 @t300))) % 1.23/1.47 (define @t366 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t303)) % 1.23/1.47 (define @t367 () (tptp.hBOOL (tptp.hAPP @t366 @t300))) % 1.23/1.47 (define @t368 () (= @t300 @t303)) % 1.23/1.47 (define @t369 () (= @t286 @t260)) % 1.23/1.47 (define @t370 () (@list @t260 @t286)) % 1.23/1.47 (define @t371 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.23/1.47 (define @t372 () (tptp.hAPP @t371 @t121)) % 1.23/1.47 (define @t373 () (tptp.hAPP @t371 @t119)) % 1.23/1.47 (define @t374 () (tptp.hAPP @t373 @t118)) % 1.23/1.47 (define @t375 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t374)) % 1.23/1.47 (define @t376 () (tptp.hBOOL (tptp.hAPP @t289 @t286))) % 1.23/1.47 (define @t377 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t121)) % 1.23/1.47 (define @t378 () (not @t369)) % 1.23/1.47 (define @t379 () (tptp.hAPP @t371 @t118)) % 1.23/1.47 (define @t380 () (tptp.hAPP @t379 @t121)) % 1.23/1.47 (define @t381 () (tptp.hAPP @t379 @t119)) % 1.23/1.47 (define @t382 () (tptp.hAPP @t372 @t118)) % 1.23/1.47 (define @t383 () (@var "V_t" $$unsorted)) % 1.23/1.47 (define @t384 () (tptp.hBOOL (tptp.hAPP @t263 @t286))) % 1.23/1.47 (define @t385 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t16)) % 1.23/1.47 (define @t386 () (tptp.hBOOL (tptp.hAPP @t385 @t81))) % 1.23/1.47 (define @t387 () (tptp.hAPP @t343 @t44)) % 1.23/1.47 (define @t388 () (or @t309 @t368)) % 1.23/1.47 (define @t389 () (not @t368)) % 1.23/1.47 (define @t390 () (tptp.c_Groups_Osgn__class_Osgn @t21 @t30)) % 1.23/1.47 (define @t391 () (tptp.hAPP @t371 @t286)) % 1.23/1.47 (define @t392 () (tptp.hAPP @t391 @t286)) % 1.23/1.47 (define @t393 () (@list @t286)) % 1.23/1.47 (define @t394 () (= (tptp.hAPP @t345 @t25) @t25)) % 1.23/1.47 (define @t395 () (tptp.hAPP @t272 @t25)) % 1.23/1.47 (define @t396 () (= (tptp.hAPP @t395 @t30) @t25)) % 1.23/1.47 (define @t397 () (@var "V_z_2" $$unsorted)) % 1.23/1.47 (define @t398 () (@var "V_w_2" $$unsorted)) % 1.23/1.47 (define @t399 () (tptp.hAPP @t272 @t77)) % 1.23/1.47 (define @t400 () (tptp.hAPP @t272 @t398)) % 1.23/1.47 (define @t401 () (tptp.hAPP @t272 @t32)) % 1.23/1.47 (define @t402 () (tptp.hAPP @t345 @t286)) % 1.23/1.47 (define @t403 () (tptp.hAPP @t23 @t402)) % 1.23/1.47 (define @t404 () (tptp.hAPP @t345 @t44)) % 1.23/1.47 (define @t405 () (= (tptp.hAPP @t401 @t44) (tptp.hAPP (tptp.hAPP @t23 @t404) @t387))) % 1.23/1.47 (define @t406 () (tptp.hAPP @t272 @t101)) % 1.23/1.47 (define @t407 () (tptp.hAPP @t406 @t100)) % 1.23/1.47 (define @t408 () (@var "V_d_2" $$unsorted)) % 1.23/1.47 (define @t409 () (tptp.hAPP @t272 @t67)) % 1.23/1.47 (define @t410 () (tptp.hAPP @t409 @t100)) % 1.23/1.47 (define @t411 () (= @t100 @t408)) % 1.23/1.47 (define @t412 () (= @t67 @t101)) % 1.23/1.47 (define @t413 () (@list @t408 @t100 @t101 @t67 @t21)) % 1.23/1.47 (define @t414 () (= (tptp.hAPP @t345 @t22) @t30)) % 1.23/1.47 (define @t415 () (= (tptp.hAPP (tptp.hAPP @t272 @t22) @t30) @t30)) % 1.23/1.47 (define @t416 () (= @t286 @t71)) % 1.23/1.47 (define @t417 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.23/1.47 (define @t418 () (tptp.hAPP @t391 @t260)) % 1.23/1.47 (define @t419 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t71)) % 1.23/1.47 (define @t420 () (tptp.hBOOL (tptp.hAPP @t419 @t118))) % 1.23/1.47 (define @t421 () (= @t310 @t71)) % 1.23/1.47 (define @t422 () (or @t368 @t421)) % 1.23/1.47 (define @t423 () (tptp.hAPP @t371 @t303)) % 1.23/1.47 (define @t424 () (tptp.hAPP @t423 @t310)) % 1.23/1.47 (define @t425 () (tptp.hAPP @t371 @t300)) % 1.23/1.47 (define @t426 () (tptp.hAPP @t425 @t310)) % 1.23/1.47 (define @t427 () (@list @t303 @t310 @t300)) % 1.23/1.47 (define @t428 () (tptp.hAPP @t371 @t310)) % 1.23/1.47 (define @t429 () (tptp.hAPP @t428 @t303)) % 1.23/1.47 (define @t430 () (tptp.hAPP @t428 @t300)) % 1.23/1.47 (define @t431 () (= @t430 @t429)) % 1.23/1.47 (define @t432 () (tptp.hBOOL (tptp.hAPP @t419 @t310))) % 1.23/1.47 (define @t433 () (=> @t432 @t306)) % 1.23/1.47 (define @t434 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t430) @t429))) % 1.23/1.47 (define @t435 () (and @t432 @t309)) % 1.23/1.47 (define @t436 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t430) @t429))) % 1.23/1.47 (define @t437 () (= @t303 @t71)) % 1.23/1.47 (define @t438 () (= @t300 @t71)) % 1.23/1.47 (define @t439 () (tptp.hAPP @t425 @t303)) % 1.23/1.47 (define @t440 () (tptp.hBOOL (tptp.hAPP @t419 @t303))) % 1.23/1.47 (define @t441 () (tptp.hBOOL (tptp.hAPP @t419 @t300))) % 1.23/1.47 (define @t442 () (tptp.class_RealVector_Oreal__normed__algebra @t21)) % 1.23/1.47 (define @t443 () (tptp.hAPP @t293 @t195)) % 1.23/1.47 (define @t444 () (= @t29 @t25)) % 1.23/1.47 (define @t445 () (= @t30 @t25)) % 1.23/1.47 (define @t446 () (= @t346 @t25)) % 1.23/1.47 (define @t447 () (tptp.class_Rings_Ono__zero__divisors @t21)) % 1.23/1.47 (define @t448 () (not @t444)) % 1.23/1.47 (define @t449 () (not @t445)) % 1.23/1.47 (define @t450 () (= @t101 @t25)) % 1.23/1.47 (define @t451 () (tptp.hAPP @t409 @t101)) % 1.23/1.47 (define @t452 () (@list @t101 @t67 @t21)) % 1.23/1.47 (define @t453 () (tptp.class_Rings_Omult__zero @t21)) % 1.23/1.47 (define @t454 () (@list @t81 @t21)) % 1.23/1.47 (define @t455 () (@var "V_e" $$unsorted)) % 1.23/1.47 (define @t456 () (@var "V_ya" $$unsorted)) % 1.23/1.47 (define @t457 () (tptp.hAPP @t272 @t81)) % 1.23/1.47 (define @t458 () (tptp.hAPP @t457 @t456)) % 1.23/1.47 (define @t459 () (tptp.hAPP @t295 @t456)) % 1.23/1.47 (define @t460 () (@list @t456 @t81 @t16 @t21)) % 1.23/1.47 (define @t461 () (@var "V_a_H" $$unsorted)) % 1.23/1.47 (define @t462 () (tptp.hAPP (tptp.hAPP @t272 @t461) @t29)) % 1.23/1.47 (define @t463 () (tptp.hAPP @t23 @t346)) % 1.23/1.47 (define @t464 () (@list @t29 @t461 @t30 @t21)) % 1.23/1.47 (define @t465 () (@var "V_xa" $$unsorted)) % 1.23/1.47 (define @t466 () (tptp.hAPP @t272 @t465)) % 1.23/1.47 (define @t467 () (tptp.hAPP @t466 @t81)) % 1.23/1.47 (define @t468 () (tptp.hAPP @t466 @t16)) % 1.23/1.47 (define @t469 () (@list @t81 @t16 @t465 @t21)) % 1.23/1.47 (define @t470 () (@var "V_b_H" $$unsorted)) % 1.23/1.47 (define @t471 () (tptp.hAPP @t345 @t470)) % 1.23/1.47 (define @t472 () (@list @t470 @t29 @t30 @t21)) % 1.23/1.47 (define @t473 () (tptp.class_Groups_Ocomm__monoid__mult @t21)) % 1.23/1.47 (define @t474 () (tptp.class_Groups_Omonoid__mult @t21)) % 1.23/1.47 (define @t475 () (tptp.hAPP @t293 @t100)) % 1.23/1.47 (define @t476 () (not (= @t100 @t7))) % 1.23/1.47 (define @t477 () (@list @t101 @t67 @t100)) % 1.23/1.47 (define @t478 () (tptp.hAPP @t345 @t30)) % 1.23/1.47 (define @t479 () (tptp.hAPP @t272 @t62)) % 1.23/1.47 (define @t480 () (tptp.hAPP @t479 @t61)) % 1.23/1.47 (define @t481 () (= (tptp.c_Groups_Oabs__class_Oabs @t21 @t346) @t480)) % 1.23/1.47 (define @t482 () (@list @t72)) % 1.23/1.47 (define @t483 () (@var "V_z2" $$unsorted)) % 1.23/1.47 (define @t484 () (tptp.hAPP @t293 @t483)) % 1.23/1.47 (define @t485 () (@var "V_z1" $$unsorted)) % 1.23/1.47 (define @t486 () (tptp.hAPP @t293 @t485)) % 1.23/1.47 (define @t487 () (@list @t74 @t483 @t485)) % 1.23/1.47 (define @t488 () (tptp.hAPP @t272 @t195)) % 1.23/1.47 (define @t489 () (tptp.hAPP (tptp.hAPP @t272 @t190) @t286)) % 1.23/1.47 (define @t490 () (tptp.hAPP @t23 @t286)) % 1.23/1.47 (define @t491 () (tptp.c_Groups_Osgn__class_Osgn @t21 @t67)) % 1.23/1.47 (define @t492 () (= (tptp.c_Groups_Osgn__class_Osgn @t21 @t25) @t25)) % 1.23/1.47 (define @t493 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t346) @t25))) % 1.23/1.47 (define @t494 () (tptp.class_Rings_Oordered__cancel__semiring @t21)) % 1.23/1.47 (define @t495 () (tptp.hBOOL (tptp.hAPP @t34 @t346))) % 1.23/1.47 (define @t496 () (tptp.class_Rings_Oordered__ring @t21)) % 1.23/1.47 (define @t497 () (tptp.hAPP @t343 @t138)) % 1.23/1.47 (define @t498 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t404)) % 1.23/1.47 (define @t499 () (=> @t176 (tptp.hBOOL (tptp.hAPP @t498 @t497)))) % 1.23/1.47 (define @t500 () (tptp.class_Rings_Oordered__semiring @t21)) % 1.23/1.47 (define @t501 () (tptp.hAPP @t272 @t44)) % 1.23/1.47 (define @t502 () (tptp.hAPP @t501 @t29)) % 1.23/1.47 (define @t503 () (tptp.hAPP @t501 @t30)) % 1.23/1.47 (define @t504 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t503) @t502))) % 1.23/1.47 (define @t505 () (tptp.hBOOL (tptp.hAPP @t140 @t25))) % 1.23/1.47 (define @t506 () (tptp.hBOOL (tptp.hAPP @t498 @t387))) % 1.23/1.47 (define @t507 () (=> @t130 (=> @t176 @t504))) % 1.23/1.47 (define @t508 () (tptp.hBOOL (tptp.hAPP @t34 @t101))) % 1.23/1.47 (define @t509 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t101)) % 1.23/1.47 (define @t510 () (tptp.hBOOL (tptp.hAPP @t509 @t25))) % 1.23/1.47 (define @t511 () (tptp.class_Rings_Olinordered__ring__strict @t21)) % 1.23/1.47 (define @t512 () (tptp.class_Rings_Olinordered__ring @t21)) % 1.23/1.47 (define @t513 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t503) @t502))) % 1.23/1.47 (define @t514 () (tptp.hBOOL (tptp.hAPP @t155 @t25))) % 1.23/1.47 (define @t515 () (tptp.c_Orderings_Oord__class_Oless @t21 @t404)) % 1.23/1.47 (define @t516 () (tptp.hBOOL (tptp.hAPP @t515 @t387))) % 1.23/1.47 (define @t517 () (tptp.hBOOL (tptp.hAPP @t26 @t44))) % 1.23/1.47 (define @t518 () (=> @t150 (=> @t517 @t513))) % 1.23/1.47 (define @t519 () (tptp.class_Rings_Olinordered__semiring__strict @t21)) % 1.23/1.47 (define @t520 () (tptp.hBOOL (tptp.hAPP @t26 @t346))) % 1.23/1.47 (define @t521 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t346) @t25))) % 1.23/1.47 (define @t522 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t101) @t67))) % 1.23/1.47 (define @t523 () (tptp.hAPP @t272 @t100)) % 1.23/1.47 (define @t524 () (tptp.hAPP @t523 @t101)) % 1.23/1.47 (define @t525 () (tptp.hAPP @t523 @t67)) % 1.23/1.47 (define @t526 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t525) @t524))) % 1.23/1.47 (define @t527 () (tptp.c_Orderings_Oord__class_Oless @t21 @t100)) % 1.23/1.47 (define @t528 () (tptp.hBOOL (tptp.hAPP @t527 @t25))) % 1.23/1.47 (define @t529 () (=> @t36 @t39)) % 1.23/1.47 (define @t530 () (tptp.hBOOL (tptp.hAPP @t26 @t100))) % 1.23/1.47 (define @t531 () (or (and @t530 @t160) (and @t528 @t522))) % 1.23/1.47 (define @t532 () (tptp.hAPP @t272 @t286)) % 1.23/1.47 (define @t533 () (tptp.hAPP @t501 @t138)) % 1.23/1.47 (define @t534 () (@list @t138 @t29 @t44 @t30 @t21)) % 1.23/1.47 (define @t535 () (tptp.hAPP @t293 @t72)) % 1.23/1.47 (define @t536 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t16)) % 1.23/1.47 (define @t537 () (tptp.hAPP (tptp.hAPP @t293 @t16) @t81)) % 1.23/1.47 (define @t538 () (tptp.hBOOL (tptp.hAPP @t19 @t81))) % 1.23/1.47 (define @t539 () (tptp.hBOOL (tptp.hAPP @t19 @t16))) % 1.23/1.47 (define @t540 () (tptp.hAPP @t293 @t162)) % 1.23/1.47 (define @t541 () (tptp.hAPP @t540 @t397)) % 1.23/1.47 (define @t542 () (tptp.hAPP @t293 @t77)) % 1.23/1.47 (define @t543 () (tptp.hAPP @t542 @t397)) % 1.23/1.47 (define @t544 () (tptp.hBOOL (tptp.hAPP @t19 @t397))) % 1.23/1.47 (define @t545 () (@list @t162 @t77 @t397)) % 1.23/1.47 (define @t546 () (= @t77 @t7)) % 1.23/1.47 (define @t547 () (tptp.hAPP @t542 @t77)) % 1.23/1.47 (define @t548 () (=> @t517 @t130)) % 1.23/1.47 (define @t549 () (=> @t176 @t150)) % 1.23/1.47 (define @t550 () (=> @t513 @t549)) % 1.23/1.47 (define @t551 () (tptp.class_Rings_Olinordered__semiring @t21)) % 1.23/1.47 (define @t552 () (=> @t516 @t549)) % 1.23/1.47 (define @t553 () (tptp.hBOOL (tptp.hAPP @t515 @t497))) % 1.23/1.47 (define @t554 () (=> @t176 @t553)) % 1.23/1.47 (define @t555 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t525) @t524))) % 1.23/1.47 (define @t556 () (tptp.hAPP @t457 @t16)) % 1.23/1.47 (define @t557 () (tptp.hBOOL (tptp.hAPP @t219 @t22))) % 1.23/1.47 (define @t558 () (tptp.hBOOL (tptp.hAPP @t34 @t81))) % 1.23/1.47 (define @t559 () (tptp.hBOOL (tptp.hAPP @t34 @t16))) % 1.23/1.47 (define @t560 () (tptp.hAPP @t293 @t397)) % 1.23/1.47 (define @t561 () (tptp.hAPP @t23 @t45)) % 1.23/1.47 (define @t562 () (tptp.hAPP @t93 @t138)) % 1.23/1.47 (define @t563 () (tptp.hAPP @t31 @t562)) % 1.23/1.47 (define @t564 () (@list @t138 @t44 @t30 @t21)) % 1.23/1.47 (define @t565 () (tptp.hBOOL (tptp.hAPP @t419 @t260))) % 1.23/1.47 (define @t566 () (= @t260 @t71)) % 1.23/1.47 (define @t567 () (not @t566)) % 1.23/1.47 (define @t568 () (tptp.hAPP @t301 @t303)) % 1.23/1.47 (define @t569 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t303)) % 1.23/1.47 (define @t570 () (@list @t303)) % 1.23/1.47 (define @t571 () (not @t437)) % 1.23/1.47 (define @t572 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_RealDef_Oreal @t16)) % 1.23/1.47 (define @t573 () (@var "B_g" $$unsorted)) % 1.23/1.47 (define @t574 () (tptp.hAPP @t293 @t44)) % 1.23/1.47 (define @t575 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t44) @t7))) % 1.23/1.47 (define @t576 () (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t399 @t77)) (tptp.hAPP (tptp.hAPP @t272 @t162) @t162))) % 1.23/1.47 (define @t577 () (tptp.hAPP @t295 @t16)) % 1.23/1.47 (define @t578 () (tptp.hAPP (tptp.hAPP @t23 @t577) (tptp.hAPP @t457 @t81))) % 1.23/1.47 (define @t579 () (@var "B_m" $$unsorted)) % 1.23/1.47 (define @t580 () (@var "V_X_2" $$unsorted)) % 1.23/1.47 (define @t581 () (tptp.hAPP @t580 @t579)) % 1.23/1.47 (define @t582 () (tptp.hAPP @t580 @t13)) % 1.23/1.47 (define @t583 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t582)) % 1.23/1.47 (define @t584 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t579) @t13))) % 1.23/1.47 (define @t585 () (@list @t579 @t13)) % 1.23/1.47 (define @t586 () (forall @t585 (=> @t584 (tptp.hBOOL (tptp.hAPP @t583 @t581))))) % 1.23/1.47 (define @t587 () (forall @t585 (=> @t584 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t581) @t582))))) % 1.23/1.47 (define @t588 () (tptp.c_SEQ_Omonoseq @t21 @t580)) % 1.23/1.47 (define @t589 () (@list @t580 @t21)) % 1.23/1.47 (define @t590 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t81)) % 1.23/1.47 (define @t591 () (tptp.hAPP @t280 @t16)) % 1.23/1.47 (define @t592 () (tptp.hAPP @t280 @t81)) % 1.23/1.47 (define @t593 () (tptp.hAPP @t592 @t72)) % 1.23/1.47 (define @t594 () (tptp.hAPP @t379 @t260)) % 1.23/1.47 (define @t595 () (tptp.hAPP @t379 @t286)) % 1.23/1.47 (define @t596 () (@list @t260 @t286 @t118)) % 1.23/1.47 (define @t597 () (tptp.hAPP @t291 @t118)) % 1.23/1.47 (define @t598 () (@list @t118 @t260 @t286)) % 1.23/1.47 (define @t599 () (tptp.hAPP @t371 @t260)) % 1.23/1.47 (define @t600 () (tptp.hAPP @t599 @t118)) % 1.23/1.47 (define @t601 () (tptp.hAPP @t391 @t118)) % 1.23/1.47 (define @t602 () (tptp.hAPP @t599 @t286)) % 1.23/1.47 (define @t603 () (@var "V_z3" $$unsorted)) % 1.23/1.47 (define @t604 () (@list @t603 @t483 @t485)) % 1.23/1.47 (define @t605 () (and (= @t300 @t417) (= @t303 @t417))) % 1.23/1.47 (define @t606 () (tptp.hAPP tptp.c_Complex_ORe @t81)) % 1.23/1.47 (define @t607 () (tptp.hAPP tptp.c_Complex_ORe @t16)) % 1.23/1.47 (define @t608 () (tptp.hAPP @t293 @t193)) % 1.23/1.47 (define @t609 () (tptp.hAPP @t293 @t607)) % 1.23/1.47 (define @t610 () (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t609 @t256)) (tptp.hAPP @t608 @t606))) % 1.23/1.47 (define @t611 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.23/1.47 (define @t612 () (tptp.hAPP (tptp.hAPP @t611 @t16) @t81)) % 1.23/1.47 (define @t613 () (tptp.hAPP (tptp.hAPP @t11 @t607) @t606)) % 1.23/1.47 (define @t614 () (@var "V_l_2" $$unsorted)) % 1.23/1.47 (define @t615 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t310)) % 1.23/1.47 (define @t616 () (@list @t614 @t310)) % 1.23/1.47 (define @t617 () (tptp.hAPP @t2 @t13)) % 1.23/1.47 (define @t618 () (tptp.c_SEQ_Osubseq @t2)) % 1.23/1.47 (define @t619 () (@list @t2)) % 1.23/1.47 (define @t620 () (@list @t77)) % 1.23/1.47 (define @t621 () (tptp.c_SEQ_Oconvergent @t21 @t580)) % 1.23/1.47 (define @t622 () (tptp.tc_fun @t21 @t21)) % 1.23/1.47 (define @t623 () (tptp.c_COMBB @t21 @t622 tptp.tc_Nat_Onat @t272 @t580)) % 1.23/1.47 (define @t624 () (@list @t162 @t580 @t21)) % 1.23/1.47 (define @t625 () (@var "V_Y_2" $$unsorted)) % 1.23/1.47 (define @t626 () (tptp.c_SEQ_Oconvergent @t21 @t625)) % 1.23/1.47 (define @t627 () (@list @t625 @t580 @t21)) % 1.23/1.47 (define @t628 () (tptp.hAPP @t280 (tptp.hAPP @t372 @t273))) % 1.23/1.47 (define @t629 () (tptp.hAPP @t280 (tptp.hAPP @t373 @t273))) % 1.23/1.47 (define @t630 () (@var "B_K" $$unsorted)) % 1.23/1.47 (define @t631 () (tptp.hAPP (tptp.hAPP @t293 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t3)) @t630)) % 1.23/1.47 (define @t632 () (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal (tptp.hAPP tptp.c_Complex_OIm @t3))) @t631)))) % 1.23/1.47 (define @t633 () (tptp.hBOOL (tptp.hAPP @t19 @t630))) % 1.23/1.47 (define @t634 () (@list @t630)) % 1.23/1.47 (define @t635 () (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal (tptp.hAPP tptp.c_Complex_ORe @t3))) @t631)))) % 1.23/1.47 (define @t636 () (tptp.hBOOL (tptp.hAPP @t8 @t630))) % 1.23/1.47 (define @t637 () (tptp.hAPP (tptp.hAPP @t293 (tptp.c_RealVector_Onorm__class_Onorm @t21 @t3)) @t630)) % 1.23/1.47 (define @t638 () (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t21 (tptp.hAPP (tptp.hAPP @t272 @t3) @t81))) @t637)))) % 1.23/1.47 (define @t639 () (tptp.c_SEQ_Oconvergent tptp.tc_Complex_Ocomplex @t580)) % 1.23/1.47 (define @t640 () (@list @t580)) % 1.23/1.47 (define @t641 () (@var "B_b" $$unsorted)) % 1.23/1.47 (define @t642 () (@var "B_a" $$unsorted)) % 1.23/1.47 (define @t643 () (forall (@list @t642 @t641) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t21 (tptp.hAPP (tptp.hAPP @t272 @t642) @t641))) (tptp.hAPP (tptp.hAPP @t293 (tptp.hAPP (tptp.hAPP @t293 (tptp.c_RealVector_Onorm__class_Onorm @t21 @t642)) (tptp.c_RealVector_Onorm__class_Onorm @t21 @t641))) @t630))))) % 1.23/1.47 (define @t644 () (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t21 (tptp.hAPP @t295 @t3))) @t637)))) % 1.23/1.47 (define @t645 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t16)) % 1.23/1.47 (define @t646 () (tptp.hBOOL (tptp.hAPP @t645 @t593))) % 1.23/1.47 (define @t647 () (@list @t81 @t72 @t16)) % 1.23/1.47 (define @t648 () (tptp.hBOOL (tptp.hAPP @t645 @t81))) % 1.23/1.47 (define @t649 () (tptp.hBOOL (tptp.hAPP @t385 @t593))) % 1.23/1.47 (define @t650 () (tptp.c_SEQ_Odecseq @t21 @t580)) % 1.23/1.47 (define @t651 () (@var "B_i" $$unsorted)) % 1.23/1.47 (define @t652 () (tptp.hBOOL (tptp.hAPP @t363 @t651))) % 1.23/1.47 (define @t653 () (@list @t651)) % 1.23/1.47 (define @t654 () (tptp.hBOOL (tptp.hAPP @t363 @t71))) % 1.23/1.47 (define @t655 () (not @t654)) % 1.23/1.47 (define @t656 () (tptp.c_RealVector_Onorm__class_Onorm @t21 @t582)) % 1.23/1.47 (define @t657 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t656)) % 1.23/1.47 (define @t658 () (exists @t634 (and @t633 (forall @t15 (tptp.hBOOL (tptp.hAPP @t657 @t630)))))) % 1.23/1.47 (define @t659 () (tptp.c_SEQ_OBseq @t21 @t580)) % 1.23/1.47 (define @t660 () (tptp.c_SEQ_Oincseq @t21 @t580)) % 1.23/1.47 (define @t661 () (tptp.c_SEQ_OBseq @t21 (tptp.c_COMBB tptp.tc_Nat_Onat @t21 tptp.tc_Nat_Onat @t580 (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t280 @t310)))) % 1.23/1.47 (define @t662 () (@list @t310 @t580 @t21)) % 1.23/1.47 (define @t663 () (tptp.c_SEQ_Oconvergent tptp.tc_RealDef_Oreal @t580)) % 1.23/1.47 (define @t664 () (tptp.c_SEQ_OBseq tptp.tc_RealDef_Oreal @t580)) % 1.23/1.47 (define @t665 () (@var "V_K_2" $$unsorted)) % 1.23/1.47 (define @t666 () (tptp.hBOOL (tptp.hAPP @t657 @t665))) % 1.23/1.47 (define @t667 () (tptp.c_RComplete_Onatceiling @t16)) % 1.23/1.47 (define @t668 () (tptp.hAPP @t280 @t667)) % 1.23/1.47 (define @t669 () (tptp.hAPP @t11 @t16)) % 1.23/1.47 (define @t670 () (tptp.hAPP @t669 @t10)) % 1.23/1.47 (define @t671 () (tptp.hBOOL (tptp.hAPP @t8 @t16))) % 1.23/1.47 (define @t672 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t667)) % 1.23/1.47 (define @t673 () (tptp.hBOOL (tptp.hAPP @t171 @t7))) % 1.23/1.47 (define @t674 () (tptp.hBOOL (tptp.hAPP @t166 @t10))) % 1.23/1.47 (define @t675 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_RComplete_Onatceiling @t77))) % 1.23/1.47 (define @t676 () (@list @t29 @t30)) % 1.23/1.47 (define @t677 () (tptp.c_RComplete_Onatfloor @t16)) % 1.23/1.47 (define @t678 () (tptp.hAPP @t280 @t677)) % 1.23/1.47 (define @t679 () (tptp.hAPP @t291 @t417)) % 1.23/1.47 (define @t680 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t260)) % 1.23/1.47 (define @t681 () (tptp.hAPP (tptp.hAPP @t11 @t680) @t10)) % 1.23/1.47 (define @t682 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t680)) % 1.23/1.47 (define @t683 () (@list @t16 @t260)) % 1.23/1.47 (define @t684 () (tptp.hAPP @t293 @t30)) % 1.23/1.47 (define @t685 () (tptp.c_RComplete_Onatfloor @t30)) % 1.23/1.47 (define @t686 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t16)) % 1.23/1.47 (define @t687 () (@list @t30 @t16)) % 1.23/1.47 (define @t688 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t677)) % 1.23/1.47 (define @t689 () (= @t303 @t300)) % 1.23/1.47 (define @t690 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t300)) % 1.23/1.47 (define @t691 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t303)) % 1.23/1.47 (define @t692 () (@list @t300 @t303)) % 1.23/1.47 (define @t693 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t67)) % 1.23/1.47 (define @t694 () (tptp.c_RComplete_Onatfloor @t77)) % 1.23/1.47 (define @t695 () (tptp.hBOOL (tptp.hAPP @t8 @t77))) % 1.23/1.47 (define @t696 () (@list @t67 @t77)) % 1.23/1.47 (define @t697 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t691)) % 1.23/1.47 (define @t698 () (tptp.hBOOL (tptp.hAPP @t569 @t300))) % 1.23/1.47 (define @t699 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t691)) % 1.23/1.47 (define @t700 () (@list @t260 @t16)) % 1.23/1.47 (define @t701 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t286)) % 1.23/1.47 (define @t702 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t30)) % 1.23/1.47 (define @t703 () (tptp.hAPP @t669 @t702)) % 1.23/1.47 (define @t704 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t10)) % 1.23/1.47 (define @t705 () (tptp.hBOOL (tptp.hAPP @t704 @t77))) % 1.23/1.47 (define @t706 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.23/1.47 (define @t707 () (tptp.hAPP @t293 @t680)) % 1.23/1.47 (define @t708 () (@var "V_N_2" $$unsorted)) % 1.23/1.47 (define @t709 () (@var "B_N" $$unsorted)) % 1.23/1.47 (define @t710 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t709))) % 1.23/1.47 (define @t711 () (tptp.c_RealVector_Onorm__class_Onorm @t214 @t582)) % 1.23/1.47 (define @t712 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t711)) % 1.23/1.47 (define @t713 () (@list @t709)) % 1.23/1.47 (define @t714 () (exists @t634 (and @t633 (forall @t15 (tptp.hBOOL (tptp.hAPP @t712 @t630)))))) % 1.23/1.47 (define @t715 () (tptp.class_RealVector_Oreal__normed__vector @t214)) % 1.23/1.47 (define @t716 () (@list @t580 @t214)) % 1.23/1.47 (define @t717 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t711)) % 1.23/1.47 (define @t718 () (tptp.c_Nat_OSuc @t260)) % 1.23/1.47 (define @t719 () (tptp.c_Nat_OSuc @t286)) % 1.23/1.47 (define @t720 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t719)) % 1.23/1.47 (define @t721 () (tptp.hBOOL (tptp.hAPP @t720 @t718))) % 1.23/1.47 (define @t722 () (tptp.c_Power_Opower__class_Opower @t21)) % 1.23/1.47 (define @t723 () (@var "V_q" $$unsorted)) % 1.23/1.47 (define @t724 () (tptp.hAPP @t722 @t16)) % 1.23/1.47 (define @t725 () (tptp.hAPP @t724 @t723)) % 1.23/1.47 (define @t726 () (tptp.hAPP @t295 @t725)) % 1.23/1.47 (define @t727 () (tptp.hAPP @t724 (tptp.c_Nat_OSuc @t723))) % 1.23/1.47 (define @t728 () (@list @t723 @t16 @t21)) % 1.23/1.47 (define @t729 () (tptp.hAPP @t272 @t725)) % 1.23/1.47 (define @t730 () (@var "V_p" $$unsorted)) % 1.23/1.47 (define @t731 () (tptp.hAPP @t371 @t730)) % 1.23/1.47 (define @t732 () (tptp.hAPP @t724 @t730)) % 1.23/1.47 (define @t733 () (@list @t723 @t730 @t16 @t21)) % 1.23/1.47 (define @t734 () (tptp.hAPP @t722 @t81)) % 1.23/1.47 (define @t735 () (tptp.hBOOL (tptp.hAPP @t720 @t260))) % 1.23/1.47 (define @t736 () (not @t333)) % 1.23/1.47 (define @t737 () (tptp.hBOOL (tptp.hAPP @t332 @t718))) % 1.23/1.47 (define @t738 () (tptp.c_Nat_OSuc @t119)) % 1.23/1.47 (define @t739 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t121) @t118))) % 1.23/1.47 (define @t740 () (tptp.c_Nat_OSuc @t300)) % 1.23/1.47 (define @t741 () (tptp.hBOOL (tptp.hAPP @t366 @t740))) % 1.23/1.47 (define @t742 () (= @t741 @t689)) % 1.23/1.47 (define @t743 () (tptp.c_Nat_OSuc @t303)) % 1.23/1.47 (define @t744 () (tptp.hBOOL (tptp.hAPP @t308 @t743))) % 1.23/1.47 (define @t745 () (tptp.hAPP @t287 @t718)) % 1.23/1.47 (define @t746 () (tptp.hAPP (tptp.hAPP @t280 @t719) @t260)) % 1.23/1.47 (define @t747 () (tptp.c_Nat_OSuc @t288)) % 1.23/1.47 (define @t748 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t719) @t260))) % 1.23/1.47 (define @t749 () (tptp.hBOOL (tptp.hAPP @t340 @t718))) % 1.23/1.47 (define @t750 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t743)) % 1.23/1.47 (define @t751 () (tptp.hBOOL (tptp.hAPP @t750 @t300))) % 1.23/1.47 (define @t752 () (tptp.hAPP @t371 (tptp.c_Nat_OSuc @t310))) % 1.23/1.47 (define @t753 () (tptp.hAPP @t752 @t303)) % 1.23/1.47 (define @t754 () (tptp.hAPP @t752 @t300)) % 1.23/1.47 (define @t755 () (tptp.hAPP (tptp.hAPP @t706 @t201) @t260)) % 1.23/1.47 (define @t756 () (tptp.hAPP @t724 @t260)) % 1.23/1.47 (define @t757 () (tptp.c_RealVector_Onorm__class_Onorm @t21 @t756)) % 1.23/1.47 (define @t758 () (@list @t260 @t16 @t21)) % 1.23/1.47 (define @t759 () (@var "V_nat_H_2" $$unsorted)) % 1.23/1.47 (define @t760 () (@var "V_nat_2" $$unsorted)) % 1.23/1.47 (define @t761 () (@var "V_nat_H_1" $$unsorted)) % 1.23/1.47 (define @t762 () (@var "V_nat_H" $$unsorted)) % 1.23/1.47 (define @t763 () (tptp.c_Nat_OSuc @t71)) % 1.23/1.47 (define @t764 () (@var "B_j" $$unsorted)) % 1.23/1.47 (define @t765 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t764)) % 1.23/1.47 (define @t766 () (@list @t764)) % 1.23/1.47 (define @t767 () (= @t303 @t763)) % 1.23/1.47 (define @t768 () (= @t300 @t763)) % 1.23/1.47 (define @t769 () (or (and @t768 @t437) (and @t438 @t767))) % 1.23/1.47 (define @t770 () (@list @t286 @t119)) % 1.23/1.47 (define @t771 () (tptp.c_Nat_OSuc @t13)) % 1.23/1.47 (define @t772 () (tptp.hAPP @t580 @t771)) % 1.23/1.47 (define @t773 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t763)) % 1.23/1.47 (define @t774 () (tptp.hBOOL (tptp.hAPP @t773 @t286))) % 1.23/1.47 (define @t775 () (tptp.hBOOL (tptp.hAPP @t773 @t260))) % 1.23/1.47 (define @t776 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t763)) % 1.23/1.47 (define @t777 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t718)) % 1.23/1.47 (define @t778 () (tptp.hAPP @t706 @t77)) % 1.23/1.47 (define @t779 () (tptp.hAPP @t722 @t29)) % 1.23/1.47 (define @t780 () (tptp.hAPP @t779 @t260)) % 1.23/1.47 (define @t781 () (tptp.hAPP @t722 @t30)) % 1.23/1.47 (define @t782 () (tptp.hAPP @t781 @t260)) % 1.23/1.47 (define @t783 () (tptp.c_Orderings_Oord__class_Oless @t21 @t782)) % 1.23/1.47 (define @t784 () (tptp.hBOOL (tptp.hAPP @t783 @t780))) % 1.23/1.47 (define @t785 () (@list @t260 @t29 @t30 @t21)) % 1.23/1.47 (define @t786 () (tptp.hBOOL (tptp.hAPP @t189 @t30))) % 1.23/1.47 (define @t787 () (@list @t260 @t30 @t21)) % 1.23/1.47 (define @t788 () (tptp.hAPP @t722 @t101)) % 1.23/1.47 (define @t789 () (tptp.hAPP @t788 @t162)) % 1.23/1.47 (define @t790 () (tptp.hAPP @t788 @t77)) % 1.23/1.47 (define @t791 () (tptp.hBOOL (tptp.hAPP @t189 @t101))) % 1.23/1.47 (define @t792 () (@list @t162 @t77 @t101 @t21)) % 1.23/1.47 (define @t793 () (tptp.hAPP @t781 @t286)) % 1.23/1.47 (define @t794 () (@list @t260 @t286 @t30 @t21)) % 1.23/1.47 (define @t795 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.23/1.47 (define @t796 () (tptp.hAPP @t795 @t16)) % 1.23/1.47 (define @t797 () (tptp.hAPP @t796 @t81)) % 1.23/1.47 (define @t798 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.23/1.47 (define @t799 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.23/1.47 (define @t800 () (tptp.hAPP @t799 @t77)) % 1.23/1.47 (define @t801 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.23/1.47 (define @t802 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t801)) % 1.23/1.47 (define @t803 () (@list @t303 @t77)) % 1.23/1.47 (define @t804 () (tptp.hAPP @t799 @t119)) % 1.23/1.47 (define @t805 () (tptp.hAPP @t804 @t260)) % 1.23/1.47 (define @t806 () (tptp.hBOOL (tptp.hAPP @t419 @t77))) % 1.23/1.47 (define @t807 () (tptp.hBOOL (tptp.hAPP @t419 (tptp.hAPP @t800 @t303)))) % 1.23/1.47 (define @t808 () (@list @t260 @t119)) % 1.23/1.47 (define @t809 () (tptp.hAPP (tptp.hAPP @t706 @t701) @t260)) % 1.23/1.47 (define @t810 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t799 @t286) @t260))) % 1.23/1.47 (define @t811 () (tptp.hAPP (tptp.hAPP @t706 @t16) @t260)) % 1.23/1.47 (define @t812 () (tptp.hAPP @t272 @t782)) % 1.23/1.47 (define @t813 () (tptp.hAPP @t345 @t782)) % 1.23/1.47 (define @t814 () (tptp.hAPP @t812 @t30)) % 1.23/1.47 (define @t815 () (@list @t260 @t21)) % 1.23/1.47 (define @t816 () (tptp.hAPP (tptp.hAPP @t722 @t62) @t260)) % 1.23/1.47 (define @t817 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t782)) % 1.23/1.47 (define @t818 () (tptp.hBOOL (tptp.hAPP @t186 @t30))) % 1.23/1.47 (define @t819 () (tptp.hAPP @t722 @t67)) % 1.23/1.47 (define @t820 () (tptp.hAPP @t819 @t303)) % 1.23/1.47 (define @t821 () (tptp.class_Power_Opower @t21)) % 1.23/1.47 (define @t822 () (tptp.hAPP @t722 @t25)) % 1.23/1.47 (define @t823 () (and @t821 (tptp.class_Rings_Osemiring__0 @t21))) % 1.23/1.47 (define @t824 () (tptp.hAPP @t781 @t718)) % 1.23/1.47 (define @t825 () (@list @t29 @t260 @t30 @t21)) % 1.23/1.47 (define @t826 () (tptp.hAPP @t779 @t718)) % 1.23/1.47 (define @t827 () (tptp.hAPP @t822 @t260)) % 1.23/1.47 (define @t828 () (@var "V_N" $$unsorted)) % 1.23/1.47 (define @t829 () (tptp.hAPP @t781 @t828)) % 1.23/1.47 (define @t830 () (tptp.hBOOL (tptp.hAPP @t263 @t828))) % 1.23/1.47 (define @t831 () (@list @t30 @t828 @t260 @t21)) % 1.23/1.47 (define @t832 () (tptp.hBOOL (tptp.hAPP @t289 @t828))) % 1.23/1.47 (define @t833 () (tptp.hBOOL (tptp.hAPP @t55 @t22))) % 1.23/1.47 (define @t834 () (@var "B_z" $$unsorted)) % 1.23/1.47 (define @t835 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.23/1.47 (define @t836 () (tptp.c_Nat_OSuc @t763)) % 1.23/1.47 (define @t837 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t801)) % 1.23/1.47 (define @t838 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.23/1.47 (define @t839 () (tptp.hAPP @t798 @t72)) % 1.23/1.47 (define @t840 () (tptp.hAPP @t798 @t74)) % 1.23/1.47 (define @t841 () (tptp.hAPP @t840 @t483)) % 1.23/1.47 (define @t842 () (tptp.hAPP @t840 @t485)) % 1.23/1.47 (define @t843 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 1.23/1.47 (define @t844 () (tptp.hAPP @t843 @t485)) % 1.23/1.47 (define @t845 () (tptp.hAPP @t844 @t483)) % 1.23/1.47 (define @t846 () (@list @t483 @t485 @t74)) % 1.23/1.47 (define @t847 () (tptp.hAPP @t798 @t483)) % 1.23/1.47 (define @t848 () (tptp.hAPP @t847 @t74)) % 1.23/1.47 (define @t849 () (tptp.hAPP @t798 @t485)) % 1.23/1.47 (define @t850 () (tptp.hAPP @t849 @t74)) % 1.23/1.47 (define @t851 () (tptp.hAPP @t798 @t118)) % 1.23/1.47 (define @t852 () (tptp.hBOOL (tptp.hAPP @t802 @t118))) % 1.23/1.47 (define @t853 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t119) @t121))) % 1.23/1.47 (define @t854 () (tptp.hAPP @t843 @t74)) % 1.23/1.47 (define @t855 () (tptp.hAPP @t854 @t72)) % 1.23/1.47 (define @t856 () (@var "V_z_H" $$unsorted)) % 1.23/1.47 (define @t857 () (@var "V_w_H" $$unsorted)) % 1.23/1.47 (define @t858 () (tptp.hAPP @t843 @t838)) % 1.23/1.47 (define @t859 () (tptp.hAPP @t858 @t72)) % 1.23/1.47 (define @t860 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t397)) % 1.23/1.47 (define @t861 () (@list @t397)) % 1.23/1.47 (define @t862 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t398)) % 1.23/1.47 (define @t863 () (tptp.hBOOL (tptp.hAPP @t862 @t397))) % 1.23/1.47 (define @t864 () (@list @t397 @t398)) % 1.23/1.47 (define @t865 () (tptp.hBOOL (tptp.hAPP @t862 (tptp.hAPP (tptp.hAPP @t843 @t397) @t838)))) % 1.23/1.47 (define @t866 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t398)) % 1.23/1.47 (define @t867 () (tptp.hAPP @t843 @t72)) % 1.23/1.47 (define @t868 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t838)) % 1.23/1.47 (define @t869 () (@var "V_one_2" $$unsorted)) % 1.23/1.47 (define @t870 () (@var "V_times_2" $$unsorted)) % 1.23/1.47 (define @t871 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t21 @t869 @t870) @t67)) % 1.23/1.47 (define @t872 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t723)) % 1.23/1.47 (define @t873 () (tptp.hBOOL (tptp.hAPP @t837 @t195))) % 1.23/1.47 (define @t874 () (= @t30 (tptp.hAPP (tptp.hAPP @t843 @t195) (tptp.hAPP (tptp.hAPP @t798 @t30) @t723)))) % 1.23/1.47 (define @t875 () (tptp.hBOOL (tptp.hAPP @t802 @t30))) % 1.23/1.47 (define @t876 () (@list @t723 @t195 @t30)) % 1.23/1.47 (define @t877 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t195)) % 1.23/1.47 (define @t878 () (@var "V_q_H" $$unsorted)) % 1.23/1.47 (define @t879 () (tptp.hBOOL (tptp.hAPP @t802 @t470))) % 1.23/1.47 (define @t880 () (@var "V_r_H" $$unsorted)) % 1.23/1.47 (define @t881 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t880)) % 1.23/1.47 (define @t882 () (tptp.hBOOL (tptp.hAPP @t881 @t470))) % 1.23/1.47 (define @t883 () (tptp.hAPP (tptp.hAPP @t843 (tptp.hAPP (tptp.hAPP @t798 @t470) @t878)) @t880)) % 1.23/1.47 (define @t884 () (tptp.hBOOL (tptp.hAPP @t837 @t883))) % 1.23/1.47 (define @t885 () (@list @t880 @t878 @t470)) % 1.23/1.47 (define @t886 () (tptp.hAPP @t843 @t118)) % 1.23/1.47 (define @t887 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t119)) % 1.23/1.47 (define @t888 () (tptp.hBOOL (tptp.hAPP @t887 @t121))) % 1.23/1.47 (define @t889 () (tptp.hAPP @t843 @t16)) % 1.23/1.47 (define @t890 () (tptp.hAPP @t843 @t81)) % 1.23/1.47 (define @t891 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t74)) % 1.23/1.47 (define @t892 () (tptp.hBOOL (tptp.hAPP @t891 @t72))) % 1.23/1.47 (define @t893 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t72) @t74))) % 1.23/1.47 (define @t894 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t878)) % 1.23/1.47 (define @t895 () (tptp.hBOOL (tptp.hAPP @t894 @t723))) % 1.23/1.47 (define @t896 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t470) @t29))) % 1.23/1.47 (define @t897 () (tptp.hBOOL (tptp.hAPP @t837 @t880))) % 1.23/1.47 (define @t898 () (tptp.hBOOL (tptp.hAPP @t877 @t29))) % 1.23/1.47 (define @t899 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t883) @t801))) % 1.23/1.47 (define @t900 () (tptp.hAPP @t798 @t29)) % 1.23/1.47 (define @t901 () (tptp.hAPP (tptp.hAPP @t843 (tptp.hAPP @t900 @t723)) @t195)) % 1.23/1.47 (define @t902 () (= @t901 @t883)) % 1.23/1.47 (define @t903 () (@list @t880 @t878 @t470 @t195 @t723 @t29)) % 1.23/1.47 (define @t904 () (tptp.hBOOL (tptp.hAPP @t872 @t878))) % 1.23/1.47 (define @t905 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t29)) % 1.23/1.47 (define @t906 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t843 (tptp.hAPP @t900 @t878)) @t880)) @t901))) % 1.23/1.47 (define @t907 () (@list @t195 @t723 @t880 @t878 @t29)) % 1.23/1.47 (define @t908 () (tptp.hBOOL (tptp.hAPP @t837 @t16))) % 1.23/1.47 (define @t909 () (tptp.hBOOL (tptp.hAPP @t837 @t81))) % 1.23/1.47 (define @t910 () (tptp.hAPP @t707 @t30)) % 1.23/1.47 (define @t911 () (tptp.c_Complex_Orcis @t195 @t30)) % 1.23/1.47 (define @t912 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t771)) % 1.23/1.47 (define @t913 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t195)) % 1.23/1.47 (define @t914 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t13)) % 1.23/1.47 (define @t915 () (tptp.hBOOL (tptp.hAPP @t8 @t195))) % 1.23/1.47 (define @t916 () (@var "B_y" $$unsorted)) % 1.23/1.47 (define @t917 () (@list @t916)) % 1.23/1.47 (define @t918 () (tptp.hBOOL (tptp.hAPP @t19 @t30))) % 1.23/1.47 (define @t919 () (@list @t30 @t260)) % 1.23/1.47 (define @t920 () (@list @t30 @t195)) % 1.23/1.47 (define @t921 () (@list @t30)) % 1.23/1.47 (define @t922 () (tptp.hAPP @t11 @t30)) % 1.23/1.47 (define @t923 () (tptp.hAPP @t922 @t29)) % 1.23/1.47 (define @t924 () (@var "V_r2" $$unsorted)) % 1.23/1.47 (define @t925 () (@var "V_r1" $$unsorted)) % 1.23/1.47 (define @t926 () (@var "B_r" $$unsorted)) % 1.23/1.47 (define @t927 () (tptp.hAPP @t706 @t926)) % 1.23/1.47 (define @t928 () (tptp.hBOOL (tptp.hAPP @t19 @t926))) % 1.23/1.47 (define @t929 () (@list @t926)) % 1.23/1.47 (define @t930 () (tptp.c_Complex_Ocis @t910)) % 1.23/1.47 (define @t931 () (tptp.c_Complex_Ocis @t30)) % 1.23/1.47 (define @t932 () (tptp.hAPP @t611 @t931)) % 1.23/1.47 (define @t933 () (tptp.hAPP @t293 @t914)) % 1.23/1.47 (define @t934 () (@list @t16 @t81)) % 1.23/1.47 (define @t935 () (tptp.c_Complex_Ocis @t29)) % 1.23/1.47 (define @t936 () (tptp.hAPP (tptp.hAPP @t835 @t931) @t260)) % 1.23/1.47 (define @t937 () (@list @t260 @t30)) % 1.23/1.47 (define @t938 () (tptp.c_Transcendental_Oln @t16)) % 1.23/1.47 (define @t939 () (tptp.c_Transcendental_Osin @t81)) % 1.23/1.47 (define @t940 () (tptp.c_Transcendental_Ocos @t16)) % 1.23/1.47 (define @t941 () (tptp.hAPP @t293 @t940)) % 1.23/1.47 (define @t942 () (tptp.hAPP @t941 @t939)) % 1.23/1.47 (define @t943 () (tptp.c_Transcendental_Ocos @t81)) % 1.23/1.47 (define @t944 () (tptp.c_Transcendental_Osin @t16)) % 1.23/1.47 (define @t945 () (tptp.hAPP @t293 @t944)) % 1.23/1.47 (define @t946 () (tptp.hAPP @t945 @t943)) % 1.23/1.47 (define @t947 () (tptp.hAPP @t669 @t81)) % 1.23/1.47 (define @t948 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t940)) % 1.23/1.47 (define @t949 () (= @t944 @t7)) % 1.23/1.47 (define @t950 () (tptp.c_Transcendental_Osin @t30)) % 1.23/1.47 (define @t951 () (tptp.c_Transcendental_Ocos @t30)) % 1.23/1.47 (define @t952 () (tptp.c_Transcendental_Oln @t162)) % 1.23/1.47 (define @t953 () (tptp.c_Transcendental_Oln @t77)) % 1.23/1.47 (define @t954 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t953)) % 1.23/1.47 (define @t955 () (tptp.hBOOL (tptp.hAPP @t19 @t162))) % 1.23/1.47 (define @t956 () (tptp.hBOOL (tptp.hAPP @t19 @t77))) % 1.23/1.47 (define @t957 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t938)) % 1.23/1.47 (define @t958 () (tptp.hBOOL (tptp.hAPP @t8 @t938))) % 1.23/1.47 (define @t959 () (tptp.hBOOL (tptp.hAPP @t704 @t16))) % 1.23/1.47 (define @t960 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t10)) % 1.23/1.47 (define @t961 () (tptp.hBOOL (tptp.hAPP @t960 @t16))) % 1.23/1.47 (define @t962 () (tptp.hBOOL (tptp.hAPP @t19 @t938))) % 1.23/1.47 (define @t963 () (tptp.c_Transcendental_Oln @t81)) % 1.23/1.47 (define @t964 () (@list @t81)) % 1.23/1.47 (define @t965 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t260 @t417)) % 1.23/1.47 (define @t966 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t286 @t417)) % 1.23/1.47 (define @t967 () (tptp.c_Groups_Ominus__class_Ominus @t21 @t30 @t29)) % 1.23/1.47 (define @t968 () (tptp.c_RealVector_Onorm__class_Onorm @t21 @t967)) % 1.23/1.47 (define @t969 () (tptp.c_RealVector_Onorm__class_Onorm @t21 @t29)) % 1.23/1.47 (define @t970 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t255 @t969)) % 1.23/1.47 (define @t971 () (tptp.c_Groups_Ominus__class_Ominus @t21 @t67 @t101)) % 1.23/1.47 (define @t972 () (tptp.class_Groups_Oordered__ab__group__add @t21)) % 1.23/1.47 (define @t973 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t970)) % 1.23/1.47 (define @t974 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t100)) % 1.23/1.47 (define @t975 () (= @t971 (tptp.c_Groups_Ominus__class_Ominus @t21 @t100 @t408))) % 1.23/1.47 (define @t976 () (tptp.hAPP @t23 @t967)) % 1.23/1.47 (define @t977 () (tptp.class_Groups_Ogroup__add @t21)) % 1.23/1.47 (define @t978 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t286 @t260)) % 1.23/1.47 (define @t979 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t326 @t286)) % 1.23/1.47 (define @t980 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t326 @t260)) % 1.23/1.47 (define @t981 () (@list @t326 @t260 @t286)) % 1.23/1.47 (define @t982 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t303 @t310)) % 1.23/1.47 (define @t983 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t300 @t310)) % 1.23/1.47 (define @t984 () (tptp.hBOOL (tptp.hAPP @t615 @t303))) % 1.23/1.47 (define @t985 () (tptp.hBOOL (tptp.hAPP @t615 @t300))) % 1.23/1.47 (define @t986 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t119 @t121)) % 1.23/1.47 (define @t987 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t986 @t118)) % 1.23/1.47 (define @t988 () (tptp.hAPP @t334 @t286)) % 1.23/1.47 (define @t989 () (tptp.c_Groups_Ominus__class_Ominus @t21 @t81 @t29)) % 1.23/1.47 (define @t990 () (tptp.hAPP @t272 (tptp.c_Groups_Ominus__class_Ominus @t21 @t16 @t30))) % 1.23/1.47 (define @t991 () (tptp.hAPP @t990 @t29)) % 1.23/1.47 (define @t992 () (tptp.c_Groups_Ominus__class_Ominus @t21 @t296 @t346)) % 1.23/1.47 (define @t993 () (@list @t29 @t30 @t81 @t16 @t21)) % 1.23/1.47 (define @t994 () (@var "V_e_2" $$unsorted)) % 1.23/1.47 (define @t995 () (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP (tptp.hAPP @t272 @t971) @t994)) @t100)) % 1.23/1.47 (define @t996 () (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t406 @t994)) @t408)) % 1.23/1.47 (define @t997 () (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t409 @t994)) @t100)) % 1.23/1.47 (define @t998 () (= @t997 @t996)) % 1.23/1.47 (define @t999 () (tptp.class_Rings_Oring @t21)) % 1.23/1.47 (define @t1000 () (@list @t408 @t101 @t100 @t994 @t67 @t21)) % 1.23/1.47 (define @t1001 () (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP (tptp.hAPP @t272 (tptp.c_Groups_Ominus__class_Ominus @t21 @t101 @t67)) @t994)) @t408)) % 1.23/1.47 (define @t1002 () (tptp.c_Groups_Ominus__class_Ominus @t21 @t29 @t30)) % 1.23/1.47 (define @t1003 () (tptp.c_Groups_Oabs__class_Oabs @t21 @t1002)) % 1.23/1.47 (define @t1004 () (tptp.c_Groups_Ominus__class_Ominus @t21 @t62 @t61)) % 1.23/1.47 (define @t1005 () (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t1004)) % 1.23/1.47 (define @t1006 () (tptp.c_Groups_Oabs__class_Oabs @t21 @t967)) % 1.23/1.47 (define @t1007 () (tptp.class_Groups_Oab__group__add @t21)) % 1.23/1.47 (define @t1008 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t719 @t260)) % 1.23/1.47 (define @t1009 () (= @t971 @t25)) % 1.23/1.47 (define @t1010 () (= @t978 @t71)) % 1.23/1.47 (define @t1011 () (tptp.c_Groups_Ominus__class_Ominus @t21 @t16 @t81)) % 1.23/1.47 (define @t1012 () (tptp.hAPP @t272 @t1011)) % 1.23/1.47 (define @t1013 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t121 @t118)) % 1.23/1.47 (define @t1014 () (tptp.hBOOL (tptp.hAPP @t330 @t121))) % 1.23/1.47 (define @t1015 () (@list @t119 @t121 @t118)) % 1.23/1.47 (define @t1016 () (@var "V_i_2" $$unsorted)) % 1.23/1.47 (define @t1017 () (tptp.hAPP (tptp.hAPP @t280 @t1016) @t310)) % 1.23/1.47 (define @t1018 () (@var "V_j_2" $$unsorted)) % 1.23/1.47 (define @t1019 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1018)) % 1.23/1.47 (define @t1020 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1018 @t310)) % 1.23/1.47 (define @t1021 () (= (tptp.hAPP @t291 @t978) @t286)) % 1.23/1.47 (define @t1022 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t282 @t118)) % 1.23/1.47 (define @t1023 () (tptp.hAPP @t281 @t1013)) % 1.23/1.47 (define @t1024 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1016)) % 1.23/1.47 (define @t1025 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1018 @t1016)) % 1.23/1.47 (define @t1026 () (tptp.hBOOL (tptp.hAPP @t1024 @t1018))) % 1.23/1.47 (define @t1027 () (@list @t310 @t1018 @t1016)) % 1.23/1.47 (define @t1028 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t285 @t118)) % 1.23/1.47 (define @t1029 () (tptp.hAPP (tptp.hAPP @t280 @t1013) @t119)) % 1.23/1.47 (define @t1030 () (@list @t44 @t29 @t30)) % 1.23/1.47 (define @t1031 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t978)) % 1.23/1.47 (define @t1032 () (tptp.hBOOL (tptp.hAPP @t419 @t286))) % 1.23/1.47 (define @t1033 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t997) @t996))) % 1.23/1.47 (define @t1034 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t997) @t996))) % 1.23/1.47 (define @t1035 () (tptp.c_Groups_Ominus__class_Ominus @t21 @t29 @t138)) % 1.23/1.47 (define @t1036 () (tptp.c_Groups_Ominus__class_Ominus @t21 @t30 @t44)) % 1.23/1.47 (define @t1037 () (tptp.c_Groups_Ominus__class_Ominus @t21 @t32 @t562)) % 1.23/1.47 (define @t1038 () (@var "V_ra_2" $$unsorted)) % 1.23/1.47 (define @t1039 () (@var "B_d" $$unsorted)) % 1.23/1.47 (define @t1040 () (tptp.hBOOL (tptp.hAPP @t363 @t1039))) % 1.23/1.47 (define @t1041 () (= @t67 (tptp.hAPP (tptp.hAPP @t280 @t101) @t1039))) % 1.23/1.47 (define @t1042 () (@list @t1039)) % 1.23/1.47 (define @t1043 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t67) @t101))) % 1.23/1.47 (define @t1044 () (tptp.hBOOL (tptp.hAPP @t363 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t67 @t101)))) % 1.23/1.47 (define @t1045 () (@list @t101 @t67 @t363)) % 1.23/1.47 (define @t1046 () (tptp.c_Nat_OSuc @t121)) % 1.23/1.47 (define @t1047 () (tptp.c_Nat_OSuc @t1013)) % 1.23/1.47 (define @t1048 () (@list @t286 @t121 @t118)) % 1.23/1.47 (define @t1049 () (@var "V_u_2" $$unsorted)) % 1.23/1.47 (define @t1050 () (tptp.hAPP (tptp.hAPP @t280 (tptp.hAPP (tptp.hAPP @t371 @t1025) @t1049)) @t303)) % 1.23/1.47 (define @t1051 () (tptp.hAPP (tptp.hAPP @t280 (tptp.hAPP (tptp.hAPP @t371 @t1018) @t1049)) @t303)) % 1.23/1.47 (define @t1052 () (tptp.hAPP (tptp.hAPP @t280 (tptp.hAPP (tptp.hAPP @t371 @t1016) @t1049)) @t300)) % 1.23/1.47 (define @t1053 () (= @t1052 @t1051)) % 1.23/1.47 (define @t1054 () (@list @t303 @t300 @t1049 @t1018 @t1016)) % 1.23/1.47 (define @t1055 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.hAPP @t629 @t286) (tptp.hAPP @t628 @t260))) % 1.23/1.47 (define @t1056 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1052) @t1051))) % 1.23/1.47 (define @t1057 () (tptp.hAPP (tptp.hAPP @t280 (tptp.hAPP (tptp.hAPP @t371 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1016 @t1018)) @t1049)) @t300)) % 1.23/1.47 (define @t1058 () (tptp.hBOOL (tptp.hAPP @t1019 @t1016))) % 1.23/1.47 (define @t1059 () (@list @t303 @t300 @t1049 @t1016 @t1018)) % 1.23/1.47 (define @t1060 () (tptp.c_Nat_OSuc @t965)) % 1.23/1.47 (define @t1061 () (not @t416)) % 1.23/1.47 (define @t1062 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1052) @t1051))) % 1.23/1.47 (define @t1063 () (tptp.hAPP @t799 @t730)) % 1.23/1.47 (define @t1064 () (tptp.hAPP @t1063 @t286)) % 1.23/1.47 (define @t1065 () (tptp.hAPP @t722 @t286)) % 1.23/1.47 (define @t1066 () (tptp.hAPP @t1065 @t260)) % 1.23/1.47 (define @t1067 () (@var "V_M_2" $$unsorted)) % 1.23/1.47 (define @t1068 () (tptp.hAPP @t580 @t1067)) % 1.23/1.47 (define @t1069 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t1067) @t13))) % 1.23/1.47 (define @t1070 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t193 @t256)) % 1.23/1.47 (define @t1071 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t16 @t81)) % 1.23/1.47 (define @t1072 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t607 @t606)) % 1.23/1.47 (define @t1073 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t485 @t483)) % 1.23/1.47 (define @t1074 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t310)) % 1.23/1.47 (define @t1075 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t16 @t81)) % 1.23/1.47 (define @t1076 () (tptp.c_Transcendental_Osin @t1075)) % 1.23/1.47 (define @t1077 () (tptp.hAPP @t293 @t939)) % 1.23/1.47 (define @t1078 () (tptp.hAPP @t293 @t943)) % 1.23/1.47 (define @t1079 () (tptp.hAPP @t945 @t939)) % 1.23/1.47 (define @t1080 () (tptp.hAPP @t941 @t943)) % 1.23/1.47 (define @t1081 () (tptp.c_Transcendental_Ocos @t1075)) % 1.23/1.47 (define @t1082 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t16 @t702)) % 1.23/1.47 (define @t1083 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t702) @t16))) % 1.23/1.47 (define @t1084 () (@list @t16 @t30)) % 1.23/1.47 (define @t1085 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.hAPP @t609 @t606) (tptp.hAPP @t608 @t256))) % 1.23/1.47 (define @t1086 () (tptp.hAPP (tptp.hAPP @t798 (tptp.hAPP (tptp.hAPP @t843 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t16 @t72))) @t838)) @t138)) % 1.23/1.47 (define @t1087 () (tptp.hBOOL (tptp.hAPP @t802 @t138))) % 1.23/1.47 (define @t1088 () (tptp.hAPP @t75 @t72)) % 1.23/1.47 (define @t1089 () (tptp.c_Nat__Transfer_Otsub @t16 @t81)) % 1.23/1.47 (define @t1090 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t81) @t16))) % 1.23/1.47 (define @t1091 () (=> @t1090 (= @t1089 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t16 @t81)))) % 1.23/1.47 (define @t1092 () (tptp.hAPP @t795 @t118)) % 1.23/1.47 (define @t1093 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t30 @t29)) % 1.23/1.47 (define @t1094 () (tptp.c_Divides_Odiv__class_Odiv @t21 @t30 @t29)) % 1.23/1.47 (define @t1095 () (tptp.c_Divides_Odiv__class_Odiv @t21 @t503 @t502)) % 1.23/1.47 (define @t1096 () (= @t44 @t25)) % 1.23/1.47 (define @t1097 () (not @t1096)) % 1.23/1.47 (define @t1098 () (=> @t1097 (= @t1095 @t1094))) % 1.23/1.47 (define @t1099 () (tptp.class_Divides_Osemiring__div @t21)) % 1.23/1.47 (define @t1100 () (tptp.hBOOL (tptp.hAPP @t802 @t29))) % 1.23/1.47 (define @t1101 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t30)) % 1.23/1.47 (define @t1102 () (tptp.hBOOL (tptp.hAPP @t1101 @t801))) % 1.23/1.47 (define @t1103 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t67 @t101)) % 1.23/1.47 (define @t1104 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1103) @t801))) % 1.23/1.47 (define @t1105 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t101) @t801))) % 1.23/1.47 (define @t1106 () (@list @t67 @t101)) % 1.23/1.47 (define @t1107 () (tptp.hBOOL (tptp.hAPP @t802 @t101))) % 1.23/1.47 (define @t1108 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t461 @t29)) % 1.23/1.47 (define @t1109 () (tptp.hBOOL (tptp.hAPP @t905 @t801))) % 1.23/1.47 (define @t1110 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t30)) % 1.23/1.47 (define @t1111 () (tptp.hBOOL (tptp.hAPP @t1110 @t461))) % 1.23/1.47 (define @t1112 () (@list @t29 @t461 @t30)) % 1.23/1.47 (define @t1113 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1093)) % 1.23/1.47 (define @t1114 () (= @t1093 @t801)) % 1.23/1.47 (define @t1115 () (tptp.hBOOL (tptp.hAPP @t1110 @t801))) % 1.23/1.47 (define @t1116 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t30 @t470)) % 1.23/1.47 (define @t1117 () (@list @t29 @t470 @t30)) % 1.23/1.47 (define @t1118 () (tptp.hBOOL (tptp.hAPP @t1113 @t801))) % 1.23/1.47 (define @t1119 () (tptp.hBOOL (tptp.hAPP @t837 @t1103))) % 1.23/1.47 (define @t1120 () (tptp.hBOOL (tptp.hAPP @t837 @t30))) % 1.23/1.47 (define @t1121 () (tptp.hBOOL (tptp.hAPP @t837 @t67))) % 1.23/1.47 (define @t1122 () (@list @t101 @t67)) % 1.23/1.47 (define @t1123 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1016 @t310)) % 1.23/1.47 (define @t1124 () (tptp.hBOOL (tptp.hAPP @t802 @t310))) % 1.23/1.47 (define @t1125 () (= @t310 @t801)) % 1.23/1.47 (define @t1126 () (tptp.hAPP @t93 @t1094)) % 1.23/1.47 (define @t1127 () (tptp.hAPP (tptp.hAPP @t23 @t1094) @t22)) % 1.23/1.47 (define @t1128 () (= @t303 (tptp.hAPP (tptp.hAPP @t843 (tptp.hAPP (tptp.hAPP @t798 @t310) @t651)) @t764))) % 1.23/1.47 (define @t1129 () (@list @t310 @t303 @t363)) % 1.23/1.47 (define @t1130 () (@var "V_b_1" $$unsorted)) % 1.23/1.47 (define @t1131 () (@var "V_a_1" $$unsorted)) % 1.23/1.47 (define @t1132 () (@var "V_r_1" $$unsorted)) % 1.23/1.47 (define @t1133 () (tptp.hBOOL (tptp.hAPP @t802 @t1130))) % 1.23/1.47 (define @t1134 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t286 @t260)) % 1.23/1.47 (define @t1135 () (=> @t333 (= @t1134 @t71))) % 1.23/1.47 (define @t1136 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t595 @t594)) % 1.23/1.47 (define @t1137 () (= @t1136 @t1134)) % 1.23/1.47 (define @t1138 () (= @t118 @t71)) % 1.23/1.47 (define @t1139 () (tptp.c_Complex_Ocomplex_OComplex @t44 @t138)) % 1.23/1.47 (define @t1140 () (tptp.c_Complex_Ocomplex_OComplex @t30 @t29)) % 1.23/1.47 (define @t1141 () (@list @t138 @t44 @t29 @t30)) % 1.23/1.47 (define @t1142 () (tptp.hAPP tptp.c_Complex_OIm @t72)) % 1.23/1.47 (define @t1143 () (tptp.hAPP tptp.c_Complex_ORe @t72)) % 1.23/1.47 (define @t1144 () (@var "V_real2_H_2" $$unsorted)) % 1.23/1.47 (define @t1145 () (@var "V_real2_2" $$unsorted)) % 1.23/1.47 (define @t1146 () (@var "V_real1_H_2" $$unsorted)) % 1.23/1.47 (define @t1147 () (@var "V_real1_2" $$unsorted)) % 1.23/1.47 (define @t1148 () (tptp.c_Complex_Ocomplex_OComplex @t1147 @t1145)) % 1.23/1.47 (define @t1149 () (tptp.c_Complex_Ocomplex_OComplex @t16 @t81)) % 1.23/1.47 (define @t1150 () (= @t101 @t7)) % 1.23/1.47 (define @t1151 () (tptp.c_Complex_Ocomplex_OComplex @t67 @t101)) % 1.23/1.47 (define @t1152 () (tptp.c_Complex_Ocomplex_OComplex @t951 @t950)) % 1.23/1.47 (define @t1153 () (= @t1134 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t978 @t260)))) % 1.23/1.47 (define @t1154 () (=> @t736 @t1153)) % 1.23/1.47 (define @t1155 () (tptp.hAPP @t293 @t29)) % 1.23/1.47 (define @t1156 () (@var "B_q" $$unsorted)) % 1.23/1.47 (define @t1157 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t300 @t303)) % 1.23/1.47 (define @t1158 () (@var "V_q_2" $$unsorted)) % 1.23/1.47 (define @t1159 () (@var "V_real2" $$unsorted)) % 1.23/1.47 (define @t1160 () (@var "V_real1" $$unsorted)) % 1.23/1.47 (define @t1161 () (tptp.c_Complex_Ocomplex_OComplex @t1160 @t1159)) % 1.23/1.47 (define @t1162 () (@list @t1159 @t1160)) % 1.23/1.47 (define @t1163 () (= (tptp.c_Transcendental_Ocos (tptp.c_Complex_Oarg (tptp.c_Complex_Ocomplex_OComplex @t7 @t81))) @t7)) % 1.23/1.47 (define @t1164 () (@var "V_f1_2" $$unsorted)) % 1.23/1.47 (define @t1165 () (tptp.hAPP (tptp.hAPP @t1164 @t1147) @t1145)) % 1.23/1.47 (define @t1166 () (@list @t1145 @t1147 @t1164 @t21)) % 1.23/1.47 (define @t1167 () (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal)) % 1.23/1.47 (define @t1168 () (tptp.hAPP @t1167 @t16)) % 1.23/1.47 (define @t1169 () (tptp.c_Rings_Oinverse__class_Odivide @t21)) % 1.23/1.47 (define @t1170 () (tptp.hAPP (tptp.hAPP @t1169 @t81) @t456)) % 1.23/1.47 (define @t1171 () (tptp.hAPP (tptp.hAPP @t1169 @t16) @t456)) % 1.23/1.47 (define @t1172 () (tptp.class_RealVector_Oreal__normed__field @t21)) % 1.23/1.47 (define @t1173 () (tptp.hAPP (tptp.hAPP @t1169 @t29) @t44)) % 1.23/1.47 (define @t1174 () (tptp.hAPP @t1169 @t30)) % 1.23/1.47 (define @t1175 () (tptp.hAPP @t1174 @t44)) % 1.23/1.47 (define @t1176 () (tptp.class_Rings_Odivision__ring @t21)) % 1.23/1.47 (define @t1177 () (tptp.hAPP @t1174 @t30)) % 1.23/1.47 (define @t1178 () (=> @t449 (= @t1177 @t22))) % 1.23/1.47 (define @t1179 () (tptp.class_Rings_Odivision__ring__inverse__zero @t21)) % 1.23/1.47 (define @t1180 () (tptp.hAPP @t1174 @t29)) % 1.23/1.47 (define @t1181 () (= (tptp.hAPP (tptp.hAPP @t722 @t1180) @t260) (tptp.hAPP (tptp.hAPP @t1169 @t782) @t780))) % 1.23/1.47 (define @t1182 () (tptp.class_Fields_Ofield @t21)) % 1.23/1.47 (define @t1183 () (tptp.hAPP @t1169 @t22)) % 1.23/1.47 (define @t1184 () (tptp.class_Fields_Ofield__inverse__zero @t21)) % 1.23/1.47 (define @t1185 () (= (tptp.c_RealVector_Onorm__class_Onorm @t21 @t1180) (tptp.hAPP (tptp.hAPP @t1167 @t255) @t969))) % 1.23/1.47 (define @t1186 () (tptp.hAPP (tptp.hAPP @t1169 @t101) @t100)) % 1.23/1.47 (define @t1187 () (not (= @t100 @t25))) % 1.23/1.47 (define @t1188 () (tptp.hAPP @t1169 @t25)) % 1.23/1.47 (define @t1189 () (tptp.c_Groups_Osgn__class_Osgn tptp.tc_Complex_Ocomplex @t72)) % 1.23/1.47 (define @t1190 () (@var "V_h" $$unsorted)) % 1.23/1.47 (define @t1191 () (tptp.hAPP @t2 @t67)) % 1.23/1.47 (define @t1192 () (tptp.hAPP @t2 @t101)) % 1.23/1.47 (define @t1193 () (tptp.hAPP @t293 (tptp.hAPP (tptp.hAPP @t1167 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1192 @t1191)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t101 @t67)))) % 1.23/1.47 (define @t1194 () (tptp.hAPP (tptp.hAPP @t1167 @t680) @t686)) % 1.23/1.47 (define @t1195 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t260 @t16))) % 1.23/1.47 (define @t1196 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1194 @t1195)) % 1.23/1.47 (define @t1197 () (tptp.hAPP @t1169 @t44)) % 1.23/1.47 (define @t1198 () (=> @t520 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 (tptp.hAPP @t1197 @t30)) (tptp.hAPP @t1197 @t29))))) % 1.23/1.47 (define @t1199 () (@var "T_1" $$unsorted)) % 1.23/1.47 (define @t1200 () (tptp.tc_Polynomial_Opoly @t1199)) % 1.23/1.47 (define @t1201 () (tptp.class_Rings_Oidom @t1199)) % 1.23/1.47 (define @t1202 () (@list @t1199)) % 1.23/1.47 (define @t1203 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1199)) % 1.23/1.47 (define @t1204 () (tptp.class_Rings_Ocomm__semiring__0 @t1199)) % 1.23/1.47 (define @t1205 () (tptp.class_Rings_Ocomm__ring @t1199)) % 1.23/1.47 (define @t1206 () (@var "T_2" $$unsorted)) % 1.23/1.47 (define @t1207 () (tptp.tc_fun @t1206 @t1199)) % 1.23/1.47 (define @t1208 () (@list @t1206 @t1199)) % 1.23/1.47 (define @t1209 () (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.23/1.47 (define @t1210 () (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.23/1.47 (define @t1211 () (tptp.class_Rings_Olinordered__idom @t1199)) % 1.23/1.47 (define @t1212 () (tptp.class_Rings_Ocomm__semiring__1 @t1199)) % 1.23/1.47 (define @t1213 () (tptp.class_Groups_Ocomm__monoid__add @t1199)) % 1.23/1.47 (define @t1214 () (tptp.class_Groups_Oab__group__add @t1199)) % 1.23/1.47 (define @t1215 () (tptp.class_Rings_Ocomm__ring__1 @t1199)) % 1.23/1.47 (define @t1216 () (@var "V_P" $$unsorted)) % 1.23/1.47 (define @t1217 () (@var "V_Q" $$unsorted)) % 1.23/1.47 (define @t1218 () (@var "V_R_2" $$unsorted)) % 1.23/1.47 (define @t1219 () (@var "V_Q_2" $$unsorted)) % 1.23/1.47 (define @t1220 () (tptp.hAPP @t1219 @t1218)) % 1.23/1.47 (define @t1221 () (@var "T_c" $$unsorted)) % 1.23/1.47 (define @t1222 () (tptp.hAPP @t363 @t1218)) % 1.23/1.47 (define @t1223 () (@list @t1218 @t1219 @t363 @t21 @t1221 @t214)) % 1.23/1.47 (define @t1224 () (forall @t15 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.hAPP tptp.c_Complex_OIm (tptp.hAPP tptp.v_s (tptp.hAPP tptp.v_f____ (tptp.hAPP tptp.v_ga____ @t13)))))) @t12)))) % 1.23/1.47 (define @t1225 () (tptp.hBOOL (tptp.hAPP @t19 @t12))) % 1.23/1.47 (define @t1226 () (not @t39)) % 1.23/1.47 (define @t1227 () (not @t41)) % 1.23/1.47 (define @t1228 () (not @t37)) % 1.23/1.47 (define @t1229 () (or @t1227 @t1226 @t33)) % 1.23/1.47 (define @t1230 () (tptp.hBOOL (tptp.hAPP @t19 @t10))) % 1.23/1.47 (define @t1231 () (not @t1210)) % 1.23/1.47 (define @t1232 () (or @t1231 @t1230)) % 1.23/1.47 (define @t1233 () (tptp.hAPP tptp.v_f____ (tptp.hAPP tptp.v_ga____ (@quantifiers_skolemize @t1224 0)))) % 1.23/1.47 (define @t1234 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.hAPP tptp.c_Complex_OIm (tptp.hAPP tptp.v_s @t1233)))) @t12))) % 1.23/1.47 (define @t1235 () (not @t1234)) % 1.23/1.47 (define @t1236 () (not @t1224)) % 1.23/1.47 (define @t1237 () (@list false)) % 1.23/1.47 (define @t1238 () (not @t1230)) % 1.23/1.47 (define @t1239 () (not @t9)) % 1.23/1.47 (define @t1240 () (not @t1209)) % 1.23/1.47 (define @t1241 () (or @t1240 @t1239 @t1238 @t1225)) % 1.23/1.47 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.23/1.47 (assume @p2 @t9) % 1.23/1.47 (assume @p3 (tptp.c_SEQ_Osubseq tptp.v_f____)) % 1.23/1.47 (assume @p4 (forall @t15 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal (tptp.hAPP tptp.c_Complex_OIm @t14))) @t12)))) % 1.23/1.47 (assume @p5 (tptp.c_SEQ_Osubseq tptp.v_ga____)) % 1.23/1.47 (assume @p6 (forall @t15 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t14)) tptp.v_r)))) % 1.23/1.47 (assume @p7 (forall @t20 (tptp.hBOOL (tptp.hAPP @t19 (tptp.hAPP @t18 @t17))))) % 1.23/1.47 (assume @p8 (forall @t20 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t11 @t17) @t10)) @t16))))) % 1.23/1.47 (assume @p9 (forall @t28 (=> @t27 (tptp.hBOOL (tptp.hAPP @t26 @t24))))) % 1.23/1.47 (assume @p10 (forall @t38 (=> @t37 (=> @t36 (=> @t35 @t33))))) % 1.23/1.47 (assume @p11 @t43) % 1.23/1.47 (assume @p12 (forall @t50 (=> @t37 (=> @t36 (=> @t49 @t47))))) % 1.23/1.47 (assume @p13 (forall @t50 (=> @t37 (=> @t41 @t52)))) % 1.23/1.47 (assume @p14 (forall @t38 (=> @t37 (=> @t56 (=> @t54 @t53))))) % 1.23/1.47 (assume @p15 (forall @t38 (=> @t37 (=> @t60 @t58)))) % 1.23/1.47 (assume @p16 (forall @t38 (=> @t64 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 (tptp.c_Groups_Oabs__class_Oabs @t21 @t32)) @t63))))) % 1.23/1.47 (assume @p17 (forall @t66 (=> @t64 (not (tptp.hBOOL (tptp.hAPP @t65 @t25)))))) % 1.23/1.47 (assume @p18 (forall @t70 (=> @t64 (= (tptp.hBOOL (tptp.hAPP @t26 @t69)) (not @t68))))) % 1.23/1.47 (assume @p19 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP tptp.v_s @t71))) tptp.v_r))) % 1.23/1.47 (assume @p20 (forall @t76 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t74)) (tptp.hAPP (tptp.hAPP @t11 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.hAPP @t75 @t74) @t72))) @t73))))) % 1.23/1.47 (assume @p21 (forall @t80 (=> @t79 (= (= @t25 @t77) @t78)))) % 1.23/1.47 (assume @p22 (forall @t91 (=> @t90 @t89))) % 1.23/1.47 (assume @p23 (forall @t98 (=> @t97 (=> (= @t96 @t94) @t92)))) % 1.23/1.47 (assume @p24 (forall @t50 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t21) @t99))) % 1.23/1.47 (assume @p25 (forall @t50 (=> @t97 @t99))) % 1.23/1.47 (assume @p26 (forall (@list @t100 @t67 @t101 @t21) (=> @t97 (= (= @t106 @t104) @t102)))) % 1.23/1.47 (assume @p27 (forall (@list @t100 @t101 @t67 @t21) (=> @t97 (= (= (tptp.hAPP @t107 @t101) @t108) @t102)))) % 1.23/1.47 (assume @p28 (forall @t50 (=> (tptp.class_Groups_Oab__semigroup__add @t21) @t112))) % 1.23/1.47 (assume @p29 (forall @t80 (=> (tptp.class_Groups_Oone @t21) (= (= @t22 @t77) (= @t77 @t22))))) % 1.23/1.47 (assume @p30 (forall @t117 (=> @t116 (=> @t115 @t113)))) % 1.23/1.47 (assume @p31 (forall @t122 (=> (tptp.hBOOL (tptp.hAPP @t120 @t121)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t121) @t118)) (tptp.hBOOL (tptp.hAPP @t120 @t118)))))) % 1.23/1.47 (assume @p32 (forall @t117 (or @t116 @t115))) % 1.23/1.47 (assume @p33 (forall @t123 (tptp.hBOOL (tptp.hAPP @t114 @t74)))) % 1.23/1.47 (assume @p34 (forall @t66 (=> @t64 (= (tptp.c_Groups_Oabs__class_Oabs @t21 @t62) @t62)))) % 1.23/1.47 (assume @p35 (forall @t66 (=> @t125 @t124))) % 1.23/1.47 (assume @p36 (forall @t66 (=> @t126 @t124))) % 1.23/1.47 (assume @p37 (forall @t70 (=> @t128 (= (= @t25 @t127) @t68)))) % 1.23/1.47 (assume @p38 (forall @t66 (=> @t125 @t129))) % 1.23/1.47 (assume @p39 (forall @t66 (=> @t126 @t129))) % 1.23/1.47 (assume @p40 (forall @t134 (=> @t133 (=> @t132 @t130)))) % 1.23/1.47 (assume @p41 (forall @t137 (=> @t133 (=> @t136 @t130)))) % 1.23/1.47 (assume @p42 (forall @t143 (=> @t142 (=> @t130 (=> @t141 (tptp.hBOOL (tptp.hAPP @t135 @t139))))))) % 1.23/1.47 (assume @p43 (forall @t50 (=> @t142 (=> @t130 @t132)))) % 1.23/1.47 (assume @p44 (forall @t50 (=> @t142 (=> @t130 @t136)))) % 1.23/1.47 (assume @p45 (forall @t147 (=> @t133 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t104) @t146)) @t145)))) % 1.23/1.47 (assume @p46 (forall @t149 (=> @t133 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t108) @t148)) @t145)))) % 1.23/1.47 (assume @p47 (forall @t134 (=> @t133 (=> @t151 @t150)))) % 1.23/1.47 (assume @p48 (forall @t137 (=> @t133 (=> @t153 @t150)))) % 1.23/1.47 (assume @p49 (forall @t143 (=> @t158 (=> @t150 @t157)))) % 1.23/1.47 (assume @p50 (forall @t50 (=> @t158 (=> @t150 @t151)))) % 1.23/1.47 (assume @p51 (forall @t50 (=> @t158 (=> @t150 @t153)))) % 1.23/1.47 (assume @p52 (forall @t147 (=> @t133 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t104) @t146)) @t160)))) % 1.23/1.47 (assume @p53 (forall @t149 (=> @t133 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t108) @t148)) @t160)))) % 1.23/1.47 (assume @p54 (forall @t28 (=> @t161 (not (= @t25 @t22))))) % 1.23/1.47 (assume @p55 (forall @t28 (=> @t161 (not (= @t22 @t25))))) % 1.23/1.47 (assume @p56 (forall @t70 (=> @t64 (= (= @t69 @t25) @t68)))) % 1.23/1.47 (assume @p57 (forall @t28 (=> @t64 (= (tptp.c_Groups_Oabs__class_Oabs @t21 @t25) @t25)))) % 1.23/1.47 (assume @p58 (forall @t38 (=> @t64 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t62) @t29)) @t130)))) % 1.23/1.47 (assume @p59 (forall @t66 (=> @t64 (tptp.hBOOL (tptp.hAPP @t59 @t62))))) % 1.23/1.47 (assume @p60 (forall @t168 (= @t167 (or @t165 @t163)))) % 1.23/1.47 (assume @p61 (forall @t168 (= @t165 (and @t167 @t169)))) % 1.23/1.47 (assume @p62 (forall @t38 (=> @t64 (= (tptp.c_Groups_Oabs__class_Oabs @t21 @t63) @t63)))) % 1.23/1.47 (assume @p63 (forall @t28 (=> @t90 (= (tptp.c_Groups_Oabs__class_Oabs @t21 @t22) @t22)))) % 1.23/1.47 (assume @p64 (not (= @t7 @t10))) % 1.23/1.47 (assume @p65 (forall @t173 (=> @t172 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t170 @t16)) (tptp.hAPP @t170 @t81)))))) % 1.23/1.47 (assume @p66 (forall @t38 (=> @t37 (=> @t60 (=> @t54 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t32) @t25))))))) % 1.23/1.47 (assume @p67 (forall @t177 (=> @t37 (=> @t176 (=> @t175 @t174))))) % 1.23/1.47 (assume @p68 (forall @t50 (=> @t37 (=> @t41 (=> @t49 @t174))))) % 1.23/1.47 (assume @p69 (forall @t180 (=> @t37 (=> (tptp.hBOOL (tptp.hAPP @t34 @t77)) (=> (tptp.hBOOL (tptp.hAPP @t34 @t162)) (= (= (tptp.hAPP (tptp.hAPP @t23 @t77) @t162) @t25) @t179)))))) % 1.23/1.47 (assume @p70 (forall @t38 (=> @t37 (=> @t41 (=> @t35 (tptp.hBOOL (tptp.hAPP @t34 @t32))))))) % 1.23/1.47 (assume @p71 (forall @t70 (=> @t128 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t127) @t25)) @t181)))) % 1.23/1.47 (assume @p72 (forall @t70 (=> @t128 (= (tptp.hBOOL (tptp.hAPP @t34 @t127)) @t182)))) % 1.23/1.47 (assume @p73 (forall @t38 (=> @t37 (=> @t56 @t58)))) % 1.23/1.47 (assume @p74 (forall @t50 (=> @t27 (=> @t36 @t52)))) % 1.23/1.47 (assume @p75 (forall @t38 (=> @t37 (=> @t36 @t40)))) % 1.23/1.47 (assume @p76 (forall @t70 (=> @t128 @t184))) % 1.23/1.47 (assume @p77 (forall @t70 (=> @t128 (= (tptp.hBOOL (tptp.hAPP @t26 @t127)) @t185)))) % 1.23/1.47 (assume @p78 (forall @t143 (=> @t158 (=> @t130 @t157)))) % 1.23/1.47 (assume @p79 (forall @t143 (=> @t158 (=> @t150 (=> @t141 @t154))))) % 1.23/1.47 (assume @p80 (forall @t28 (=> @t27 (tptp.hBOOL (tptp.hAPP @t34 @t22))))) % 1.23/1.47 (assume @p81 (forall @t28 (=> @t27 (not (tptp.hBOOL (tptp.hAPP @t186 @t25)))))) % 1.23/1.47 (assume @p82 @t188) % 1.23/1.47 (assume @p83 (forall @t28 (=> @t27 (not (tptp.hBOOL (tptp.hAPP @t189 @t25)))))) % 1.23/1.47 (assume @p84 (forall @t66 (=> @t27 (tptp.hBOOL (tptp.hAPP @t55 @t190))))) % 1.23/1.47 (assume @p85 (forall @t66 (=> @t64 (=> @t41 @t191)))) % 1.23/1.47 (assume @p86 (forall @t70 (=> @t64 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t69) @t25)) @t68)))) % 1.23/1.47 (assume @p87 (forall @t66 (=> @t64 (tptp.hBOOL (tptp.hAPP @t34 @t62))))) % 1.23/1.47 (assume @p88 (forall @t66 (=> @t64 (=> @t36 @t191)))) % 1.23/1.47 (assume @p89 (forall @t20 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t193)) @t192)))) % 1.23/1.47 (assume @p90 (forall @t205 (=> @t204 (=> @t203 (=> @t200 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t198) (tptp.hAPP (tptp.hAPP @t11 @t195) @t194)))))))) % 1.23/1.47 (assume @p91 (forall @t91 (=> @t204 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t198) (tptp.hAPP (tptp.hAPP @t11 @t201) @t199)))))) % 1.23/1.47 (assume @p92 (forall @t80 (=> @t204 (= (tptp.hBOOL (tptp.hAPP @t19 @t207)) @t206)))) % 1.23/1.47 (assume @p93 (forall @t80 (=> @t204 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t207) @t7)) @t78)))) % 1.23/1.47 (assume @p94 (forall @t28 (=> @t208 (= (tptp.c_RealVector_Onorm__class_Onorm @t21 @t22) @t10)))) % 1.23/1.47 (assume @p95 (forall @t209 (=> @t204 (not (tptp.hBOOL (tptp.hAPP @t202 @t7)))))) % 1.23/1.47 (assume @p96 (forall @t209 (=> @t204 (tptp.hBOOL (tptp.hAPP @t8 @t201))))) % 1.23/1.47 (assume @p97 (forall @t80 (=> @t204 (= (= @t207 @t7) @t78)))) % 1.23/1.47 (assume @p98 (forall @t28 (=> @t204 (= (tptp.c_RealVector_Onorm__class_Onorm @t21 @t25) @t7)))) % 1.23/1.47 (assume @p99 (forall @t70 (=> @t90 @t184))) % 1.23/1.47 (assume @p100 (forall @t209 (=> @t211 (tptp.hBOOL (tptp.hAPP @t210 @t16))))) % 1.23/1.47 (assume @p101 (forall @t213 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t195) @t212))) % 1.23/1.47 (assume @p102 (forall @t218 (=> @t217 (= @t216 (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t214 @t5) @t4))))))) % 1.23/1.47 (assume @p103 (forall @t91 (=> @t222 (or @t221 @t220)))) % 1.23/1.47 (assume @p104 (forall @t180 (=> @t225 (= @t163 (and @t224 @t223))))) % 1.23/1.47 (assume @p105 (forall @t91 (=> @t211 (=> @t87 @t221)))) % 1.23/1.47 (assume @p106 (forall (@list @t77 @t1 @t2 @t21 @t214) (=> @t217 (=> @t216 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t214 (tptp.hAPP @t2 @t77)) (tptp.hAPP @t1 @t77))))))) % 1.23/1.47 (assume @p107 (forall @t227 (=> @t225 (=> @t223 @t226)))) % 1.23/1.47 (assume @p108 (forall @t50 (=> @t230 (=> @t229 (=> @t49 @t228))))) % 1.23/1.47 (assume @p109 (forall @t50 (=> @t225 (=> @t229 (=> (tptp.hBOOL (tptp.hAPP @t140 @t29)) @t231))))) % 1.23/1.47 (assume @p110 (forall @t50 (=> @t230 (=> @t130 (=> @t92 @t228))))) % 1.23/1.47 (assume @p111 (forall @t98 (=> @t225 (=> @t175 (=> @t92 @t231))))) % 1.23/1.47 (assume @p112 (forall @t91 (=> @t225 (=> @t221 (=> @t220 @t87))))) % 1.23/1.47 (assume @p113 (forall @t233 (=> @t211 (=> @t221 (=> @t232 (tptp.hBOOL (tptp.hAPP @t210 @t72))))))) % 1.23/1.47 (assume @p114 (forall @t234 (=> @t225 (=> @t220 (=> @t221 @t87))))) % 1.23/1.47 (assume @p115 (forall @t237 (=> @t225 (=> @t220 (=> @t236 (tptp.hBOOL (tptp.hAPP @t235 @t16))))))) % 1.23/1.47 (assume @p116 (forall @t91 (=> @t222 (=> (not @t221) @t220)))) % 1.23/1.47 (assume @p117 (forall @t209 (=> @t211 (not (tptp.hBOOL (tptp.hAPP @t84 @t16)))))) % 1.23/1.47 (assume @p118 (forall @t180 (=> @t222 (= @t169 (or @t240 @t238))))) % 1.23/1.47 (assume @p119 (forall @t180 (=> @t222 (= @t241 (or @t238 @t163))))) % 1.23/1.47 (assume @p120 (forall @t91 (=> @t222 (or @t85 @t87 @t83)))) % 1.23/1.47 (assume @p121 (forall @t227 (=> @t222 (=> (not @t238) @t242)))) % 1.23/1.47 (assume @p122 (forall @t91 (=> @t222 @t89))) % 1.23/1.47 (assume @p123 (forall @t91 (=> @t225 (=> @t85 @t88)))) % 1.23/1.47 (assume @p124 (forall @t91 (=> @t211 (=> @t85 (not @t83))))) % 1.23/1.47 (assume @p125 (forall @t91 (=> @t225 (=> @t85 (not (= @t81 @t16)))))) % 1.23/1.47 (assume @p126 (forall @t38 (=> @t211 (=> @t150 (not @t243))))) % 1.23/1.47 (assume @p127 (forall @t244 (=> @t225 (=> @t243 (not @t150))))) % 1.23/1.47 (assume @p128 (forall @t50 (=> @t230 (=> @t229 (=> @t51 @t245))))) % 1.23/1.47 (assume @p129 (forall @t50 (=> @t225 (=> @t229 (=> (tptp.hBOOL (tptp.hAPP @t155 @t29)) @t246))))) % 1.23/1.47 (assume @p130 (forall @t50 (=> @t230 (=> @t150 (=> @t92 @t245))))) % 1.23/1.47 (assume @p131 (forall @t98 (=> @t225 (=> @t243 (=> @t92 @t246))))) % 1.23/1.47 (assume @p132 (forall @t233 (=> @t211 (=> @t85 @t248)))) % 1.23/1.47 (assume @p133 (forall @t237 (=> @t225 (=> @t83 @t251)))) % 1.23/1.47 (assume @p134 (forall @t91 (=> @t222 (=> @t86 (=> @t88 @t83))))) % 1.23/1.47 (assume @p135 (forall @t180 (=> @t222 (= @t241 @t223)))) % 1.23/1.47 (assume @p136 (forall @t180 (=> @t222 (= (not @t224) @t238)))) % 1.23/1.47 (assume @p137 (forall @t91 (=> @t222 (or @t221 @t83)))) % 1.23/1.47 (assume @p138 (forall @t180 (=> @t225 (= @t240 (and @t224 @t169))))) % 1.23/1.47 (assume @p139 (forall @t180 (=> @t211 (= @t240 (and @t224 (not @t223)))))) % 1.23/1.47 (assume @p140 (forall @t180 (=> @t225 (= @t224 (or @t240 @t163))))) % 1.23/1.47 (assume @p141 (forall @t91 (=> @t222 (=> @t86 @t220)))) % 1.23/1.47 (assume @p142 (forall @t234 (=> @t222 (=> (not @t220) @t85)))) % 1.23/1.47 (assume @p143 (forall @t180 (=> @t222 (=> @t241 @t226)))) % 1.23/1.47 (assume @p144 (forall @t38 (=> @t225 (=> @t252 (=> @t130 @t150))))) % 1.23/1.47 (assume @p145 (forall @t38 (=> @t225 (=> @t252 (=> @t175 @t243))))) % 1.23/1.47 (assume @p146 (forall @t234 (=> @t222 (=> @t220 @t86)))) % 1.23/1.47 (assume @p147 (forall @t91 (=> @t211 (=> @t85 @t221)))) % 1.23/1.47 (assume @p148 (forall @t180 (=> @t222 (=> @t224 @t242)))) % 1.23/1.47 (assume @p149 (forall @t91 (=> @t225 (=> @t221 (or @t85 @t87))))) % 1.23/1.47 (assume @p150 (forall @t38 (=> @t225 (=> @t130 (=> @t252 @t150))))) % 1.23/1.47 (assume @p151 (forall @t244 (=> @t225 (=> @t175 (=> @t252 @t243))))) % 1.23/1.47 (assume @p152 (forall @t233 (=> @t211 (=> @t85 (=> @t232 @t247))))) % 1.23/1.47 (assume @p153 (forall @t237 (=> @t225 (=> @t83 (=> @t236 @t250))))) % 1.23/1.47 (assume @p154 (forall @t233 (=> @t211 (=> @t221 @t248)))) % 1.23/1.47 (assume @p155 (forall @t237 (=> @t225 (=> @t220 @t251)))) % 1.23/1.47 (assume @p156 (forall @t70 (=> @t128 (= (= @t127 @t25) @t68)))) % 1.23/1.47 (assume @p157 (= (tptp.hAPP tptp.c_Complex_OIm @t253) @t7)) % 1.23/1.47 (assume @p158 (= (tptp.hAPP tptp.c_Complex_OIm @t254) @t7)) % 1.23/1.47 (assume @p159 (forall @t66 (=> @t204 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t255) @t255)))) % 1.23/1.47 (assume @p160 (forall @t259 (= (tptp.hAPP tptp.c_Complex_OIm @t258) @t257))) % 1.23/1.47 (assume @p161 (forall @t262 (tptp.hBOOL (tptp.hAPP @t261 @t260)))) % 1.23/1.47 (assume @p162 (forall @t262 (not (tptp.hBOOL (tptp.hAPP @t263 @t71))))) % 1.23/1.47 (assume @p163 (forall @t66 (=> @t264 @t129))) % 1.23/1.47 (assume @p164 (forall @t66 (=> @t264 @t124))) % 1.23/1.47 (assume @p165 (forall @t266 (=> @t265 (= (= @t101 @t106) @t68)))) % 1.23/1.47 (assume @p166 (forall @t209 (=> @t204 (and (=> @t269 (= @t268 @t7)) (=> (not @t269) (= @t268 @t10)))))) % 1.23/1.47 (assume @p167 (forall (@list @t270 @t21) (=> @t79 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t21 @t270) @t71) (= @t270 (tptp.c_Groups_Ozero__class_Ozero (tptp.tc_Polynomial_Opoly @t21))))))) % 1.23/1.47 (assume @p168 (forall @t278 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t21) (=> (tptp.hBOOL (tptp.hAPP @t84 @t30)) (=> (tptp.hBOOL (tptp.hAPP @t82 @t30)) (=> @t277 (=> @t276 (=> @t275 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t274) @t30)))))))))) % 1.23/1.47 (assume @p169 (tptp.c_SEQ_Omonoseq tptp.tc_RealDef_Oreal (tptp.c_COMBB tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_Nat_Onat tptp.c_Complex_OIm (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Complex_Ocomplex tptp.tc_Nat_Onat tptp.v_s (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.v_f____ tptp.v_ga____))))) % 1.23/1.47 (assume @p170 (tptp.c_SEQ_Omonoseq tptp.tc_RealDef_Oreal @t279)) % 1.23/1.47 (assume @p171 (forall (@list @t121 @t119) (not (tptp.hBOOL (tptp.hAPP @t283 @t119))))) % 1.23/1.47 (assume @p172 (forall (@list @t119 @t121) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t285) @t119))))) % 1.23/1.47 (assume @p173 (forall @t290 (tptp.hBOOL (tptp.hAPP @t289 @t288)))) % 1.23/1.47 (assume @p174 (forall @t290 (tptp.hBOOL (tptp.hAPP @t289 @t292)))) % 1.23/1.47 (assume @p175 (forall @t91 (=> @t298 (= @t297 @t294)))) % 1.23/1.47 (assume @p176 (forall @t307 (= @t306 (exists @t304 (= @t303 @t302))))) % 1.23/1.47 (assume @p177 (forall @t218 (=> @t217 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t215 @t2) @t1)) (and @t216 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t215 @t1) @t2)))))))) % 1.23/1.47 (assume @p178 (forall @t314 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t313) @t312)) @t309))) % 1.23/1.47 (assume @p179 (forall @t314 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t313) @t312)) @t306))) % 1.23/1.47 (assume @p180 (forall @t318 (=> @t317 (tptp.hBOOL (tptp.hAPP @t316 @t315))))) % 1.23/1.47 (assume @p181 (forall @t318 (=> @t317 (tptp.hBOOL (tptp.hAPP @t316 @t319))))) % 1.23/1.47 (assume @p182 (forall @t318 (=> @t321 (tptp.hBOOL (tptp.hAPP @t320 @t315))))) % 1.23/1.47 (assume @p183 (forall @t318 (=> @t321 (tptp.hBOOL (tptp.hAPP @t320 @t319))))) % 1.23/1.47 (assume @p184 (forall @t122 (=> @t317 (tptp.hBOOL (tptp.hAPP @t324 @t322))))) % 1.23/1.47 (assume @p185 (forall @t122 (=> @t321 (tptp.hBOOL (tptp.hAPP @t325 @t322))))) % 1.23/1.47 (assume @p186 (forall @t329 (=> @t317 (=> @t328 (tptp.hBOOL (tptp.hAPP @t324 @t327)))))) % 1.23/1.47 (assume @p187 (forall @t329 (=> @t321 (=> @t331 (tptp.hBOOL (tptp.hAPP @t325 @t327)))))) % 1.23/1.47 (assume @p188 (forall (@list @t260 @t286 @t326 @t118) (=> @t328 (=> (= (tptp.hAPP @t287 @t326) @t335) @t333)))) % 1.23/1.47 (assume @p189 (forall @t122 (=> (tptp.hBOOL (tptp.hAPP @t283 @t118)) (tptp.hBOOL (tptp.hAPP @t316 @t118))))) % 1.23/1.47 (assume @p190 (forall @t339 (=> @t338 @t336))) % 1.23/1.47 (assume @p191 (forall @t339 (=> @t338 @t341))) % 1.23/1.47 (assume @p192 (forall @t339 (=> @t338 (not (=> @t341 (not @t336)))))) % 1.23/1.47 (assume @p193 (forall @t91 (=> @t298 (= (tptp.c_Groups_Osgn__class_Osgn @t21 @t296) (tptp.hAPP @t342 (tptp.c_Groups_Osgn__class_Osgn @t21 @t81)))))) % 1.23/1.47 (assume @p194 (forall @t38 (=> @t264 (= @t346 @t344)))) % 1.23/1.47 (assume @p195 (forall @t354 (=> @t264 (= @t353 (tptp.hAPP @t351 (tptp.hAPP @t349 @t347)))))) % 1.23/1.47 (assume @p196 (forall @t354 (=> @t264 (= @t353 (tptp.hAPP @t355 @t347))))) % 1.23/1.47 (assume @p197 (forall @t360 (=> @t264 (= @t359 (tptp.hAPP @t349 (tptp.hAPP @t357 @t350)))))) % 1.23/1.47 (assume @p198 (forall @t360 (=> @t264 (= @t359 (tptp.hAPP @t355 @t356))))) % 1.23/1.47 (assume @p199 (forall @t362 (=> @t264 (= @t361 (tptp.hAPP @t349 (tptp.hAPP @t357 @t352)))))) % 1.23/1.47 (assume @p200 (forall @t362 (=> @t264 (= @t361 (tptp.hAPP @t351 (tptp.hAPP @t358 @t347)))))) % 1.23/1.47 (assume @p201 (forall @t362 (=> @t264 (= @t361 (tptp.hAPP @t355 (tptp.hAPP @t357 @t347)))))) % 1.23/1.47 (assume @p202 (forall (@list @t363 @t303 @t300) (=> (=> @t309 @t365) (=> (=> @t368 @t365) (=> (=> @t367 @t365) @t365))))) % 1.23/1.47 (assume @p203 (forall @t370 (=> (or @t333 @t369) @t341))) % 1.23/1.47 (assume @p204 (forall @t329 (=> @t321 (=> @t331 (tptp.hBOOL (tptp.hAPP @t375 (tptp.hAPP @t372 @t326))))))) % 1.23/1.47 (assume @p205 (forall @t370 (=> @t341 (=> @t376 @t369)))) % 1.23/1.47 (assume @p206 (forall @t122 (=> @t321 (=> (tptp.hBOOL (tptp.hAPP @t377 @t118)) (tptp.hBOOL (tptp.hAPP @t320 @t118)))))) % 1.23/1.47 (assume @p207 (forall @t370 (=> @t341 (=> @t378 @t333)))) % 1.23/1.47 (assume @p208 (forall @t122 (=> @t321 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t381) @t380))))) % 1.23/1.47 (assume @p209 (forall @t122 (=> @t321 (tptp.hBOOL (tptp.hAPP @t375 @t382))))) % 1.23/1.47 (assume @p210 (forall @t370 (=> @t333 @t341))) % 1.23/1.47 (assume @p211 (forall @t370 (=> @t369 @t341))) % 1.23/1.47 (assume @p212 (forall (@list @t383 @t194) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t194) @t383)) (not (= @t194 @t383))))) % 1.23/1.47 (assume @p213 (forall @t290 (=> @t384 @t378))) % 1.23/1.47 (assume @p214 (forall @t262 (not (tptp.hBOOL (tptp.hAPP @t263 @t260))))) % 1.23/1.47 (assume @p215 (forall @t259 (=> @t88 (=> (not @t386) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t81) @t16)))))) % 1.23/1.47 (assume @p216 (forall @t50 (=> (tptp.class_Groups_Oab__semigroup__mult @t21) (= (tptp.hAPP (tptp.hAPP @t272 @t346) @t44) (tptp.hAPP @t345 @t387))))) % 1.23/1.47 (assume @p217 (forall @t307 (= @t306 @t388))) % 1.23/1.47 (assume @p218 (forall @t307 (= @t309 (and @t306 @t389)))) % 1.23/1.47 (assume @p219 (forall @t370 (or @t341 @t376))) % 1.23/1.47 (assume @p220 (forall @t307 (= @t389 (or @t309 @t367)))) % 1.23/1.47 (assume @p221 (forall @t38 (=> @t90 (= (tptp.c_Groups_Osgn__class_Osgn @t21 @t346) (tptp.hAPP (tptp.hAPP @t272 @t390) (tptp.c_Groups_Osgn__class_Osgn @t21 @t29)))))) % 1.23/1.47 (assume @p222 (forall @t66 (=> @t90 (= (tptp.c_Groups_Osgn__class_Osgn @t21 @t390) @t390)))) % 1.23/1.47 (assume @p223 (forall @t393 (tptp.hBOOL (tptp.hAPP @t340 (tptp.hAPP @t391 @t392))))) % 1.23/1.47 (assume @p224 (forall @t393 (tptp.hBOOL (tptp.hAPP @t340 @t392)))) % 1.23/1.47 (assume @p225 (forall @t262 (tptp.hBOOL (tptp.hAPP @t289 @t260)))) % 1.23/1.47 (assume @p226 (forall @t66 (=> @t264 @t394))) % 1.23/1.47 (assume @p227 (forall @t66 (=> @t264 @t396))) % 1.23/1.47 (assume @p228 (forall (@list @t397 @t77 @t162 @t398 @t21) (=> @t265 (= (= (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t400 @t162)) (tptp.hAPP @t399 @t397)) (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t400 @t397)) (tptp.hAPP @t399 @t162))) (or (= @t398 @t77) (= @t162 @t397)))))) % 1.23/1.47 (assume @p229 (forall (@list @t29 @t286 @t30 @t21) (=> @t264 (= (tptp.hAPP @t403 (tptp.hAPP @t343 @t286)) (tptp.hAPP @t401 @t286))))) % 1.23/1.47 (assume @p230 (forall @t50 (=> @t264 @t405))) % 1.23/1.47 (assume @p231 (forall @t413 (=> @t265 (= (and (not @t412) (not @t411)) (not (= (tptp.hAPP (tptp.hAPP @t23 @t410) (tptp.hAPP @t406 @t408)) (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t409 @t408)) @t407))))))) % 1.23/1.47 (assume @p232 (forall @t233 (=> @t264 (= (tptp.hAPP @t295 (tptp.hAPP (tptp.hAPP @t23 @t81) @t72)) (tptp.hAPP (tptp.hAPP @t23 @t296) (tptp.hAPP @t295 @t72)))))) % 1.23/1.47 (assume @p233 (forall (@list @t118 @t21) (=> @t90 (= (tptp.c_Groups_Oabs__class_Oabs @t21 @t118) (tptp.hAPP (tptp.hAPP @t272 @t118) (tptp.c_Groups_Osgn__class_Osgn @t21 @t118)))))) % 1.23/1.47 (assume @p234 (forall @t209 (=> @t90 (= (tptp.hAPP @t342 (tptp.c_Groups_Oabs__class_Oabs @t21 @t16)) @t16)))) % 1.23/1.47 (assume @p235 (forall @t66 (=> @t264 @t414))) % 1.23/1.47 (assume @p236 (forall @t66 (=> @t264 @t415))) % 1.23/1.47 (assume @p237 (forall @t370 (=> (= @t286 @t418) (or (= @t260 @t417) @t416)))) % 1.23/1.47 (assume @p238 (forall @t122 (=> @t317 (=> @t420 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381) @t380)))))) % 1.23/1.47 (assume @p239 (forall @t122 (=> @t317 (=> @t420 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t374) @t382)))))) % 1.23/1.47 (assume @p240 (forall @t427 (= (= @t426 @t424) @t422))) % 1.23/1.47 (assume @p241 (forall @t314 (= @t431 @t422))) % 1.23/1.47 (assume @p242 (forall @t427 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t426) @t424)) @t433))) % 1.23/1.47 (assume @p243 (forall @t314 (= @t434 @t433))) % 1.23/1.47 (assume @p244 (forall @t427 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t426) @t424)) @t435))) % 1.23/1.47 (assume @p245 (forall @t314 (= @t436 @t435))) % 1.23/1.47 (assume @p246 (forall @t307 (= (= @t439 @t71) (or @t438 @t437)))) % 1.23/1.47 (assume @p247 (forall @t393 (= (tptp.hAPP @t391 @t71) @t71))) % 1.23/1.47 (assume @p248 (forall @t307 (= (tptp.hBOOL (tptp.hAPP @t419 @t439)) (and @t441 @t440)))) % 1.23/1.47 (assume @p249 (forall @t262 (= (tptp.hAPP (tptp.hAPP @t371 @t71) @t260) @t71))) % 1.23/1.47 (assume @p250 (forall @t91 (=> @t442 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t297) @t294))))) % 1.23/1.47 (assume @p251 (forall @t205 (=> @t442 (=> @t203 (=> @t200 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t297) (tptp.hAPP @t443 @t194)))))))) % 1.23/1.47 (assume @p252 (forall @t38 (=> @t447 (=> @t446 (or @t445 @t444))))) % 1.23/1.47 (assume @p253 (forall @t38 (=> @t447 (=> @t449 (=> @t448 (not @t446)))))) % 1.23/1.47 (assume @p254 (forall @t452 (=> (tptp.class_Rings_Oring__no__zero__divisors @t21) (= (= @t451 @t25) (or @t68 @t450))))) % 1.23/1.47 (assume @p255 (forall @t66 (=> @t453 @t394))) % 1.23/1.47 (assume @p256 (forall @t66 (=> @t453 @t396))) % 1.23/1.47 (assume @p257 (forall @t209 (=> @t442 (= (tptp.hAPP @t295 @t25) @t25)))) % 1.23/1.47 (assume @p258 (forall @t66 (=> @t442 @t394))) % 1.23/1.47 (assume @p259 (forall @t454 (=> @t442 (= (tptp.hAPP @t395 @t81) @t25)))) % 1.23/1.47 (assume @p260 (forall (@list @t29 @t21) (=> @t442 (= (tptp.hAPP @t395 @t29) @t25)))) % 1.23/1.47 (assume @p261 (forall (@list @t44 @t29 @t455 @t30 @t21) (=> (tptp.class_Rings_Osemiring @t21) (= (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t345 @t455)) (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t343 @t455)) @t44)) (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t401 @t455)) @t44))))) % 1.23/1.47 (assume @p262 (forall @t50 (=> (tptp.class_Rings_Ocomm__semiring @t21) @t405))) % 1.23/1.47 (assume @p263 (forall @t460 (=> @t442 (= (tptp.hAPP (tptp.hAPP @t272 @t197) @t456) (tptp.hAPP (tptp.hAPP @t23 @t459) @t458))))) % 1.23/1.47 (assume @p264 (forall @t464 (=> @t442 (= (tptp.hAPP (tptp.hAPP @t272 (tptp.hAPP @t31 @t461)) @t29) (tptp.hAPP @t463 @t462))))) % 1.23/1.47 (assume @p265 (forall @t469 (=> @t442 (= (tptp.hAPP @t466 @t197) (tptp.hAPP (tptp.hAPP @t23 @t468) @t467))))) % 1.23/1.47 (assume @p266 (forall @t472 (=> @t442 (= (tptp.hAPP @t345 (tptp.hAPP @t95 @t470)) (tptp.hAPP @t463 @t471))))) % 1.23/1.47 (assume @p267 (forall @t66 (=> @t473 @t414))) % 1.23/1.47 (assume @p268 (forall @t66 (=> @t474 @t414))) % 1.23/1.47 (assume @p269 (forall @t66 (=> @t473 @t415))) % 1.23/1.47 (assume @p270 (forall @t66 (=> @t474 @t415))) % 1.23/1.47 (assume @p271 (forall @t477 (=> @t476 (= (= (tptp.hAPP @t475 @t67) (tptp.hAPP @t475 @t101)) @t412)))) % 1.23/1.47 (assume @p272 (forall @t477 (=> @t476 (= (= (tptp.hAPP (tptp.hAPP @t293 @t67) @t100) (tptp.hAPP (tptp.hAPP @t293 @t101) @t100)) @t412)))) % 1.23/1.47 (assume @p273 (forall @t66 (=> @t90 (= (tptp.hAPP @t479 @t62) @t478)))) % 1.23/1.47 (assume @p274 (forall @t38 (=> @t90 @t481))) % 1.23/1.47 (assume @p275 (forall @t482 (= (tptp.hAPP (tptp.hAPP @t293 @t10) @t72) @t72))) % 1.23/1.47 (assume @p276 (forall @t487 (= (tptp.hAPP (tptp.hAPP @t293 (tptp.hAPP (tptp.hAPP @t11 @t485) @t483)) @t74) (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t486 @t74)) (tptp.hAPP @t484 @t74))))) % 1.23/1.47 (assume @p277 (forall (@list @t138 @t44 @t29 @t30 @t195 @t21) (=> @t265 (=> (not (= @t195 @t25)) (=> (and @t229 (not (= @t44 @t138))) (not (= (tptp.hAPP @t31 (tptp.hAPP @t488 @t44)) (tptp.hAPP @t95 (tptp.hAPP @t488 @t138))))))))) % 1.23/1.47 (assume @p278 (forall (@list @t286 @t30 @t21) (=> @t264 (= (tptp.hAPP @t403 @t286) @t489)))) % 1.23/1.47 (assume @p279 (forall (@list @t30 @t286 @t21) (=> @t264 (= (tptp.hAPP @t490 @t402) @t489)))) % 1.23/1.47 (assume @p280 (forall (@list @t286 @t21) (=> @t264 (= (tptp.hAPP @t490 @t286) (tptp.hAPP (tptp.hAPP @t272 @t24) @t286))))) % 1.23/1.47 (assume @p281 (forall @t70 (=> @t90 (= (= @t491 @t25) @t68)))) % 1.23/1.47 (assume @p282 (forall @t28 (=> (tptp.class_Groups_Osgn__if @t21) @t492))) % 1.23/1.47 (assume @p283 (forall @t80 (=> @t204 (= (= (tptp.c_Groups_Osgn__class_Osgn @t21 @t77) @t25) @t78)))) % 1.23/1.47 (assume @p284 (forall @t28 (=> @t204 @t492))) % 1.23/1.47 (assume @p285 (forall @t28 (=> @t208 (= (tptp.c_Groups_Osgn__class_Osgn @t21 @t22) @t22)))) % 1.23/1.47 (assume @p286 (forall @t38 (=> @t494 (=> (or (and @t41 @t54) (and @t60 @t35)) @t493)))) % 1.23/1.47 (assume @p287 (forall @t38 (=> @t496 (=> (or (and @t41 @t35) (and @t60 @t54)) @t495)))) % 1.23/1.47 (assume @p288 (forall @t143 (=> @t500 (=> @t130 (=> @t141 (=> @t35 @t499)))))) % 1.23/1.47 (assume @p289 (forall @t143 (=> @t500 (=> @t130 (=> @t141 (=> @t41 @t499)))))) % 1.23/1.47 (assume @p290 (forall @t98 (=> @t496 (=> @t175 (=> @t505 @t504))))) % 1.23/1.47 (assume @p291 (forall @t98 (=> @t496 (=> @t175 (=> @t505 @t506))))) % 1.23/1.47 (assume @p292 (forall @t50 (=> (tptp.class_Rings_Oordered__comm__semiring @t21) @t507))) % 1.23/1.47 (assume @p293 (forall @t50 (=> @t500 @t507))) % 1.23/1.47 (assume @p294 (forall @t50 (=> @t500 (=> @t130 (=> @t176 @t506))))) % 1.23/1.47 (assume @p295 (forall @t38 (=> @t496 (=> @t60 (=> @t54 @t495))))) % 1.23/1.47 (assume @p296 (forall @t38 (=> @t494 (=> @t60 (=> @t35 @t493))))) % 1.23/1.47 (assume @p297 (forall @t38 (=> @t494 (=> @t41 (=> @t54 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t344) @t25))))))) % 1.23/1.47 (assume @p298 (forall @t38 (=> @t494 (=> @t41 (=> @t54 @t493))))) % 1.23/1.47 (assume @p299 (forall @t38 (=> @t494 (=> @t41 (=> @t35 @t495))))) % 1.23/1.47 (assume @p300 (forall @t452 (=> @t511 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t451) @t25)) (or (and @t182 @t510) (and @t181 @t508)))))) % 1.23/1.47 (assume @p301 (forall @t452 (=> @t511 (= (tptp.hBOOL (tptp.hAPP @t34 @t451)) (or (and @t182 @t508) (and @t181 @t510)))))) % 1.23/1.47 (assume @p302 (forall @t66 (=> @t512 (tptp.hBOOL (tptp.hAPP @t34 @t478))))) % 1.23/1.47 (assume @p303 (forall @t98 (=> @t511 (=> @t243 (=> @t514 @t513))))) % 1.23/1.47 (assume @p304 (forall @t98 (=> @t511 (=> @t243 (=> @t514 @t516))))) % 1.23/1.47 (assume @p305 (forall @t50 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t21) @t518))) % 1.23/1.47 (assume @p306 (forall @t50 (=> @t519 @t518))) % 1.23/1.47 (assume @p307 (forall @t50 (=> @t519 (=> @t150 (=> @t517 @t516))))) % 1.23/1.47 (assume @p308 (forall @t38 (=> @t511 (=> @t56 (=> @t57 @t520))))) % 1.23/1.47 (assume @p309 (forall @t38 (=> @t519 (=> @t56 (=> @t39 @t521))))) % 1.23/1.47 (assume @p310 (forall @t147 (=> @t511 (=> @t528 (= @t526 @t522))))) % 1.23/1.47 (assume @p311 (forall @t244 (=> @t519 (=> (tptp.hBOOL (tptp.hAPP @t26 @t344)) @t529)))) % 1.23/1.47 (assume @p312 (forall @t38 (=> @t519 (=> @t520 @t529)))) % 1.23/1.47 (assume @p313 (forall @t38 (=> @t519 (=> @t36 (=> @t57 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t344) @t25))))))) % 1.23/1.47 (assume @p314 (forall @t38 (=> @t519 (=> @t36 (=> @t57 @t521))))) % 1.23/1.47 (assume @p315 (forall @t38 (=> @t519 (=> @t36 (=> @t39 @t520))))) % 1.23/1.47 (assume @p316 (forall @t147 (=> @t511 (=> @t530 (= @t526 @t160))))) % 1.23/1.47 (assume @p317 (forall @t147 (=> @t511 (= @t526 @t531)))) % 1.23/1.47 (assume @p318 (forall @t149 (=> @t511 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t410) @t407)) @t531)))) % 1.23/1.47 (assume @p319 (forall @t66 (=> @t512 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t478) @t25)))))) % 1.23/1.47 (assume @p320 (forall (@list @t260 @t286 @t21) (=> @t27 (=> (tptp.hBOOL (tptp.hAPP @t189 @t286)) (=> (tptp.hBOOL (tptp.hAPP @t189 @t260)) (tptp.hBOOL (tptp.hAPP @t189 (tptp.hAPP @t532 @t260)))))))) % 1.23/1.47 (assume @p321 (forall @t534 (=> @t90 (=> (tptp.hBOOL (tptp.hAPP @t65 @t44)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t61) @t138)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t480) @t533))))))) % 1.23/1.47 (assume @p322 (forall (@list @t81 @t16 @t72) (=> (tptp.hBOOL (tptp.hAPP @t19 @t72)) (=> (tptp.hBOOL (tptp.hAPP @t536 @t81)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t535 @t16)) (tptp.hAPP @t535 @t81))))))) % 1.23/1.47 (assume @p323 (forall @t259 (=> @t539 (=> @t538 (tptp.hBOOL (tptp.hAPP @t19 @t537)))))) % 1.23/1.47 (assume @p324 (forall @t545 (=> @t544 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t543) @t541)) @t165)))) % 1.23/1.47 (assume @p325 (forall @t168 (= (= (tptp.hAPP (tptp.hAPP @t11 @t547) (tptp.hAPP @t540 @t162)) @t7) (and @t546 (= @t162 @t7))))) % 1.23/1.47 (assume @p326 (forall @t70 (=> @t90 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t491) @t25)) @t183)))) % 1.23/1.47 (assume @p327 (forall @t70 (=> @t90 (= (tptp.hBOOL (tptp.hAPP @t26 @t491)) @t185)))) % 1.23/1.47 (assume @p328 (forall @t134 (=> @t519 (=> @t504 @t548)))) % 1.23/1.47 (assume @p329 (forall @t137 (=> @t519 (=> @t506 @t548)))) % 1.23/1.47 (assume @p330 (forall @t134 (=> @t519 @t550))) % 1.23/1.47 (assume @p331 (forall @t134 (=> @t551 @t550))) % 1.23/1.47 (assume @p332 (forall @t137 (=> @t519 @t552))) % 1.23/1.47 (assume @p333 (forall @t137 (=> @t551 @t552))) % 1.23/1.47 (assume @p334 (forall @t143 (=> @t519 (=> @t130 (=> @t156 (=> @t36 @t554)))))) % 1.23/1.47 (assume @p335 (forall @t143 (=> @t519 (=> @t150 (=> @t141 (=> @t41 (=> @t517 @t553))))))) % 1.23/1.47 (assume @p336 (forall @t143 (=> @t519 (=> @t150 (=> @t156 (=> @t41 @t554)))))) % 1.23/1.47 (assume @p337 (forall @t143 (=> @t519 (=> @t150 (=> @t156 (=> @t39 @t554)))))) % 1.23/1.47 (assume @p338 (forall @t147 (=> @t511 (=> @t528 (= @t555 (tptp.hBOOL (tptp.hAPP @t509 @t67))))))) % 1.23/1.47 (assume @p339 (forall @t147 (=> @t511 (=> @t530 (= @t555 @t145))))) % 1.23/1.47 (assume @p340 (forall @t91 (=> @t90 (=> @t559 (=> @t558 (=> @t557 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t556) @t16)))))))) % 1.23/1.47 (assume @p341 (forall @t91 (=> @t90 (=> @t559 (=> @t558 (=> @t557 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t296) @t16)))))))) % 1.23/1.47 (assume @p342 (forall @t38 (=> (tptp.class_Rings_Oordered__ring__abs @t21) (=> (and (or @t41 @t60) (or @t35 @t54)) @t481)))) % 1.23/1.47 (assume @p343 (forall @t91 (=> @t90 (=> @t559 (= (tptp.hAPP (tptp.hAPP @t272 (tptp.c_Groups_Oabs__class_Oabs @t21 @t81)) @t16) (tptp.c_Groups_Oabs__class_Oabs @t21 @t556)))))) % 1.23/1.47 (assume @p344 (forall @t545 (=> @t544 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t560 @t77)) (tptp.hAPP @t560 @t162))) @t167)))) % 1.23/1.47 (assume @p345 (forall @t545 (=> @t544 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t543) @t541)) @t167)))) % 1.23/1.47 (assume @p346 (forall @t143 (=> @t264 (= (tptp.hAPP @t110 @t562) (tptp.hAPP @t561 @t139))))) % 1.23/1.47 (assume @p347 (forall @t50 (=> @t264 (= @t111 (tptp.hAPP @t561 @t29))))) % 1.23/1.47 (assume @p348 (forall @t50 (=> @t264 @t112))) % 1.23/1.47 (assume @p349 (forall @t564 (=> @t264 (= @t563 (tptp.hAPP @t561 @t138))))) % 1.23/1.47 (assume @p350 (forall @t564 (=> @t264 (= @t563 (tptp.hAPP @t93 (tptp.hAPP @t31 @t138)))))) % 1.23/1.47 (assume @p351 (forall (@list @t44 @t30 @t21) (=> @t264 (= @t45 @t94)))) % 1.23/1.47 (assume @p352 (forall @t262 (=> @t567 @t565))) % 1.23/1.47 (assume @p353 (forall @t370 (=> (= @t288 @t286) @t566))) % 1.23/1.47 (assume @p354 (forall @t370 (=> @t333 @t567))) % 1.23/1.47 (assume @p355 (forall @t307 (= (= @t568 @t71) (and @t438 @t437)))) % 1.23/1.47 (assume @p356 (forall @t570 (= (tptp.hBOOL (tptp.hAPP @t569 @t71)) @t437))) % 1.23/1.47 (assume @p357 (forall @t393 (= (tptp.hAPP @t287 @t71) @t286))) % 1.23/1.47 (assume @p358 (forall @t307 (= (tptp.hBOOL (tptp.hAPP @t419 @t568)) (or @t441 @t440)))) % 1.23/1.47 (assume @p359 (forall @t262 (= (tptp.hAPP (tptp.hAPP @t280 @t71) @t260) @t260))) % 1.23/1.47 (assume @p360 (forall @t570 (= @t571 @t440))) % 1.23/1.47 (assume @p361 (forall @t20 (=> @t539 (= @t572 @t10)))) % 1.23/1.47 (assume @p362 (forall @t66 (=> @t90 (=> @t36 (= @t390 @t22))))) % 1.23/1.47 (assume @p363 (forall @t70 (=> @t90 (= (= @t491 @t22) @t185)))) % 1.23/1.47 (assume @p364 (forall @t278 (=> (tptp.class_Rings_Olinordered__semiring__1 @t21) (=> (tptp.hBOOL (tptp.hAPP @t210 @t30)) (=> (tptp.hBOOL (tptp.hAPP @t219 @t30)) (=> @t277 (=> @t276 (=> @t275 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t274) @t30)))))))))) % 1.23/1.47 (assume @p365 (not (forall (@list @t573) (=> (tptp.c_SEQ_Osubseq @t573) (not (tptp.c_SEQ_Omonoseq tptp.tc_RealDef_Oreal (tptp.c_COMBB tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_Nat_Onat tptp.c_Complex_OIm (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Complex_Ocomplex tptp.tc_Nat_Onat tptp.v_s (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.v_f____ @t573))))))))) % 1.23/1.47 (assume @p366 (forall (@list @t81 @t16 @t44 @t21) (=> @t204 (=> @t575 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t201) (tptp.hAPP @t574 @t199))) @t269))))) % 1.23/1.47 (assume @p367 (forall @t180 (=> @t511 (= (tptp.hBOOL (tptp.hAPP @t26 @t576)) (or @t206 (not @t178)))))) % 1.23/1.47 (assume @p368 (forall @t91 (=> @t512 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t578) @t25)))))) % 1.23/1.47 (assume @p369 (forall @t180 (=> @t511 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t576) @t25)) @t179)))) % 1.23/1.47 (assume @p370 (forall @t91 (=> @t512 (tptp.hBOOL (tptp.hAPP @t34 @t578))))) % 1.23/1.47 (assume @p371 (forall @t589 (=> @t225 (= @t588 (or @t587 @t586))))) % 1.23/1.47 (assume @p372 (forall (@list @t81 @t16 @t44) (=> @t575 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t17) (tptp.hAPP @t574 @t590))) (= @t16 @t7))))) % 1.23/1.47 (assume @p373 (forall @t370 (= @t288 @t292))) % 1.23/1.47 (assume @p374 (forall @t173 (= (tptp.hAPP @t591 @t593) (tptp.hAPP @t592 (tptp.hAPP @t591 @t72))))) % 1.23/1.47 (assume @p375 (forall @t596 (= (tptp.hAPP @t379 @t288) (tptp.hAPP (tptp.hAPP @t280 @t595) @t594)))) % 1.23/1.47 (assume @p376 (forall @t598 (= (tptp.hAPP (tptp.hAPP @t280 @t288) @t118) (tptp.hAPP @t287 @t597)))) % 1.23/1.47 (assume @p377 (forall @t598 (= (tptp.hAPP (tptp.hAPP @t371 @t288) @t118) (tptp.hAPP (tptp.hAPP @t280 @t601) @t600)))) % 1.23/1.47 (assume @p378 (forall @t314 (= (= @t313 @t312) @t368))) % 1.23/1.47 (assume @p379 (forall @t427 (= (= (tptp.hAPP @t301 @t310) (tptp.hAPP (tptp.hAPP @t280 @t303) @t310)) @t368))) % 1.23/1.47 (assume @p380 (forall @t370 (= @t418 @t602))) % 1.23/1.47 (assume @p381 (forall @t598 (= (tptp.hAPP (tptp.hAPP @t371 @t418) @t118) (tptp.hAPP @t391 @t600)))) % 1.23/1.47 (assume @p382 (forall @t604 (= (tptp.hAPP (tptp.hAPP @t293 (tptp.hAPP @t486 @t483)) @t603) (tptp.hAPP @t486 (tptp.hAPP @t484 @t603))))) % 1.23/1.47 (assume @p383 (forall @t307 (= (= @t439 @t417) @t605))) % 1.23/1.47 (assume @p384 (forall @t117 (= (tptp.hAPP @t535 @t74) (tptp.hAPP (tptp.hAPP @t293 @t74) @t72)))) % 1.23/1.47 (assume @p385 (forall @t262 (= (tptp.hAPP @t599 @t417) @t260))) % 1.23/1.47 (assume @p386 (forall @t307 (= (= @t417 @t439) @t605))) % 1.23/1.47 (assume @p387 (forall @t262 (= (tptp.hAPP (tptp.hAPP @t371 @t417) @t260) @t260))) % 1.23/1.47 (assume @p388 (forall @t168 (= @t163 (and (= (tptp.hAPP tptp.c_Complex_ORe @t77) (tptp.hAPP tptp.c_Complex_ORe @t162)) (= (tptp.hAPP tptp.c_Complex_OIm @t77) (tptp.hAPP tptp.c_Complex_OIm @t162)))))) % 1.23/1.47 (assume @p389 (forall @t259 (=> (= @t607 @t606) (=> (= @t193 @t256) @t87)))) % 1.23/1.47 (assume @p390 (forall @t259 (= (tptp.hAPP tptp.c_Complex_OIm @t612) @t610))) % 1.23/1.47 (assume @p391 (forall @t20 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t607) @t192)))) % 1.23/1.47 (assume @p392 (= (tptp.hAPP tptp.c_Complex_ORe @t253) @t7)) % 1.23/1.47 (assume @p393 (forall @t259 (= (tptp.hAPP tptp.c_Complex_ORe @t258) @t613))) % 1.23/1.47 (assume @p394 (= (tptp.hAPP tptp.c_Complex_ORe @t254) @t10)) % 1.23/1.47 (assume @p395 (forall @t20 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t607)) @t192)))) % 1.23/1.47 (assume @p396 (forall @t616 (= (tptp.hBOOL (tptp.hAPP @t615 @t614)) (exists @t15 (= @t614 (tptp.hAPP @t311 @t13)))))) % 1.23/1.47 (assume @p397 (forall @t619 (= @t618 (forall @t585 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t579) @t13)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t2 @t579)) @t617))))))) % 1.23/1.47 (assume @p398 (forall (@list @t303 @t2) (=> @t618 (tptp.hBOOL (tptp.hAPP @t569 (tptp.hAPP @t2 @t303)))))) % 1.23/1.47 (assume @p399 (forall @t180 (=> @t511 (= (= @t576 @t25) @t179)))) % 1.23/1.47 (assume @p400 (tptp.c_SEQ_Oconvergent tptp.tc_RealDef_Oreal @t279)) % 1.23/1.47 (assume @p401 (forall @t314 (=> @t432 (= @t434 @t306)))) % 1.23/1.47 (assume @p402 (forall @t620 (= (not (tptp.hBOOL (tptp.hAPP @t19 @t547))) @t546))) % 1.23/1.47 (assume @p403 (forall @t314 (=> @t432 (= @t431 @t368)))) % 1.23/1.47 (assume @p404 (forall @t314 (=> @t432 (= @t436 @t309)))) % 1.23/1.47 (assume @p405 (forall (@list @t100 @t21) (=> (tptp.class_RealVector_Ometric__space @t21) (tptp.c_SEQ_Oconvergent @t21 (tptp.c_COMBK @t21 tptp.tc_Nat_Onat @t100))))) % 1.23/1.47 (assume @p406 (forall (@list @t77 @t580 @t21) (=> @t442 (=> @t621 (tptp.c_SEQ_Oconvergent @t21 (tptp.c_COMBB @t21 @t21 tptp.tc_Nat_Onat @t399 @t580)))))) % 1.23/1.47 (assume @p407 (forall @t624 (=> @t442 (=> @t621 (tptp.c_SEQ_Oconvergent @t21 (tptp.c_COMBC tptp.tc_Nat_Onat @t21 @t21 @t623 @t162)))))) % 1.23/1.47 (assume @p408 (forall @t627 (=> @t442 (=> @t621 (=> @t626 (tptp.c_SEQ_Oconvergent @t21 (tptp.c_COMBS tptp.tc_Nat_Onat @t21 @t21 @t623 @t625))))))) % 1.23/1.47 (assume @p409 (forall @t627 (=> @t204 (=> @t621 (=> @t626 (tptp.c_SEQ_Oconvergent @t21 (tptp.c_COMBS tptp.tc_Nat_Onat @t21 @t21 (tptp.c_COMBB @t21 @t622 tptp.tc_Nat_Onat @t23 @t580) @t625))))))) % 1.23/1.47 (assume @p410 (forall @t314 (= @t431 (or @t421 @t368)))) % 1.23/1.47 (assume @p411 (forall (@list @t118 @t121 @t273 @t119) (= (tptp.hAPP @t629 (tptp.hAPP @t628 @t118)) (tptp.hAPP (tptp.hAPP @t280 (tptp.hAPP (tptp.hAPP @t371 @t282) @t273)) @t118)))) % 1.23/1.47 (assume @p412 (exists @t634 (and @t633 @t632))) % 1.23/1.47 (assume @p413 (exists @t634 (and @t633 @t635))) % 1.23/1.47 (assume @p414 (exists @t634 (and @t636 @t632))) % 1.23/1.47 (assume @p415 (exists @t634 (and @t636 @t635))) % 1.23/1.47 (assume @p416 (forall @t454 (=> @t442 (exists @t634 (and @t633 @t638))))) % 1.23/1.47 (assume @p417 (forall @t640 (=> @t639 (tptp.c_SEQ_Oconvergent tptp.tc_RealDef_Oreal (tptp.c_COMBB tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_Nat_Onat tptp.c_Complex_ORe @t580))))) % 1.23/1.47 (assume @p418 (forall @t640 (=> @t639 (tptp.c_SEQ_Oconvergent tptp.tc_RealDef_Oreal (tptp.c_COMBB tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_Nat_Onat tptp.c_Complex_OIm @t580))))) % 1.23/1.47 (assume @p419 (forall @t28 (=> @t442 (exists @t634 (and @t633 @t643))))) % 1.23/1.47 (assume @p420 (forall @t209 (=> @t442 (exists @t634 (and @t633 @t644))))) % 1.23/1.47 (assume @p421 (forall @t647 (=> (tptp.hBOOL (tptp.hAPP @t645 @t72)) @t646))) % 1.23/1.47 (assume @p422 (forall @t173 (=> @t648 @t646))) % 1.23/1.47 (assume @p423 (forall @t259 (=> @t386 @t648))) % 1.23/1.47 (assume @p424 (forall @t173 (=> @t386 @t649))) % 1.23/1.47 (assume @p425 (forall @t647 (=> (tptp.hBOOL (tptp.hAPP @t385 @t72)) @t649))) % 1.23/1.47 (assume @p426 (exists @t634 @t632)) % 1.23/1.47 (assume @p427 (exists @t634 @t635)) % 1.23/1.47 (assume @p428 (forall @t589 (=> @t225 (= @t650 @t586)))) % 1.23/1.47 (assume @p429 (forall (@list @t303 @t363) (=> @t655 (=> (tptp.hBOOL @t364) (exists @t304 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t299) @t303)) (forall @t653 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t651) @t299)) (not @t652))) (tptp.hBOOL (tptp.hAPP @t363 (tptp.hAPP (tptp.hAPP @t280 @t299) @t417))))))))) % 1.23/1.47 (assume @p430 (forall @t28 (=> @t442 (exists @t634 (and @t636 @t643))))) % 1.23/1.47 (assume @p431 (forall @t589 (=> @t225 (=> @t650 @t588)))) % 1.23/1.47 (assume @p432 (forall @t454 (=> @t442 (exists @t634 (and @t636 @t638))))) % 1.23/1.47 (assume @p433 (forall @t209 (=> @t442 (exists @t634 (and @t636 @t644))))) % 1.23/1.47 (assume @p434 (forall @t589 (=> @t204 (= @t659 @t658)))) % 1.23/1.47 (assume @p435 (forall @t589 (=> @t225 (= @t660 @t587)))) % 1.23/1.47 (assume @p436 (forall @t662 (=> @t204 (=> @t661 @t659)))) % 1.23/1.47 (assume @p437 (forall @t662 (=> @t204 (=> @t659 @t661)))) % 1.23/1.47 (assume @p438 (forall @t640 (=> @t664 (=> (tptp.c_SEQ_Omonoseq tptp.tc_RealDef_Oreal @t580) @t663)))) % 1.23/1.47 (assume @p439 (forall @t589 (=> @t225 (=> @t660 @t588)))) % 1.23/1.47 (assume @p440 (forall (@list @t580 @t665 @t21) (=> @t204 (=> (tptp.hBOOL (tptp.hAPP @t19 @t665)) (=> (forall @t15 @t666) @t659))))) % 1.23/1.47 (assume @p441 (forall @t589 (=> @t204 (=> @t659 @t658)))) % 1.23/1.47 (assume @p442 (= (tptp.c_Complex_Oexpi @t253) @t254)) % 1.23/1.47 (assume @p443 (forall @t20 (=> @t671 (= (tptp.c_RComplete_Onatceiling @t670) (tptp.hAPP @t668 @t417))))) % 1.23/1.47 (assume @p444 (= (tptp.c_RComplete_Onatceiling @t7) @t71)) % 1.23/1.47 (assume @p445 (forall @t20 (tptp.hBOOL (tptp.hAPP @t261 @t667)))) % 1.23/1.47 (assume @p446 (forall @t259 (=> @t172 (tptp.hBOOL (tptp.hAPP @t672 (tptp.c_RComplete_Onatceiling @t81)))))) % 1.23/1.47 (assume @p447 (= (tptp.c_RComplete_Onatceiling @t10) @t417)) % 1.23/1.47 (assume @p448 (forall @t20 (=> @t673 (= @t667 @t71)))) % 1.23/1.47 (assume @p449 (forall @t620 (= (tptp.hBOOL (tptp.hAPP @t675 @t417)) @t674))) % 1.23/1.47 (assume @p450 (forall @t676 (= (tptp.c_Complex_Oexpi (tptp.hAPP (tptp.hAPP @t75 @t30) @t29)) (tptp.hAPP (tptp.hAPP @t611 (tptp.c_Complex_Oexpi @t30)) (tptp.c_Complex_Oexpi @t29))))) % 1.23/1.47 (assume @p451 (forall @t20 (=> @t671 (= (tptp.c_RComplete_Onatfloor @t670) (tptp.hAPP @t678 @t417))))) % 1.23/1.47 (assume @p452 (forall @t683 (=> (tptp.hBOOL (tptp.hAPP @t682 @t16)) (=> (tptp.hBOOL (tptp.hAPP @t171 @t681)) (= @t667 @t679))))) % 1.23/1.47 (assume @p453 (forall @t676 (=> (tptp.hBOOL (tptp.hAPP @t8 @t30)) (=> (tptp.hBOOL (tptp.hAPP @t8 @t29)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t371 @t685) (tptp.c_RComplete_Onatfloor @t29))) (tptp.c_RComplete_Onatfloor (tptp.hAPP @t684 @t29)))))))) % 1.23/1.47 (assume @p454 (forall @t640 (=> @t664 (=> (forall @t585 (=> @t584 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t581) @t582)))) @t663)))) % 1.23/1.47 (assume @p455 (forall @t262 (tptp.hBOOL (tptp.hAPP @t8 @t680)))) % 1.23/1.47 (assume @p456 (forall @t262 (= (tptp.c_RComplete_Onatceiling @t680) @t260))) % 1.23/1.47 (assume @p457 (forall @t262 (= (tptp.c_RComplete_Onatfloor @t680) @t260))) % 1.23/1.47 (assume @p458 (forall @t687 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t686) @t30)) (tptp.hBOOL (tptp.hAPP @t645 @t685))))) % 1.23/1.47 (assume @p459 (forall @t20 (=> @t671 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t688) @t16))))) % 1.23/1.47 (assume @p460 (forall @t692 (= (= @t691 @t690) @t689))) % 1.23/1.47 (assume @p461 (forall @t20 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t686) @t686))) % 1.23/1.47 (assume @p462 (forall @t696 (=> @t695 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t67) @t694)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t693) @t77)))))) % 1.23/1.47 (assume @p463 (forall @t20 (tptp.hBOOL (tptp.hAPP @t536 (tptp.hAPP (tptp.hAPP @t11 @t688) @t10))))) % 1.23/1.47 (assume @p464 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t71) @t7)) % 1.23/1.47 (assume @p465 (forall @t570 (= (= @t691 @t7) @t437))) % 1.23/1.47 (assume @p466 (forall @t262 (not (tptp.hBOOL (tptp.hAPP @t682 @t7))))) % 1.23/1.47 (assume @p467 (forall @t692 (= (tptp.hBOOL (tptp.hAPP @t697 @t690)) @t367))) % 1.23/1.47 (assume @p468 (forall @t692 (= (tptp.hBOOL (tptp.hAPP @t699 @t690)) @t698))) % 1.23/1.47 (assume @p469 (forall @t700 (=> @t671 (=> (tptp.hBOOL (tptp.hAPP @t536 @t680)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t677) @t260)))))) % 1.23/1.47 (assume @p470 (forall @t370 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t418) (tptp.hAPP (tptp.hAPP @t293 @t701) @t680)))) % 1.23/1.47 (assume @p471 (forall @t370 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t288) (tptp.hAPP (tptp.hAPP @t11 @t701) @t680)))) % 1.23/1.47 (assume @p472 (forall @t687 (=> @t671 (= (tptp.c_RComplete_Onatfloor @t703) (tptp.hAPP @t678 @t30))))) % 1.23/1.47 (assume @p473 (forall (@list @t260 @t72) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t280 (tptp.c_RComplete_Onatfloor @t72)) @t417)) @t260)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t72) @t680))))) % 1.23/1.47 (assume @p474 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t417) @t10)) % 1.23/1.47 (assume @p475 (forall @t683 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t680) @t16)) (=> (tptp.hBOOL (tptp.hAPP @t536 @t681)) (= @t677 @t260))))) % 1.23/1.47 (assume @p476 (forall @t20 (tptp.hBOOL (tptp.hAPP @t171 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t667))))) % 1.23/1.47 (assume @p477 (= (tptp.c_RComplete_Onatfloor @t7) @t71)) % 1.23/1.47 (assume @p478 (forall @t20 (tptp.hBOOL (tptp.hAPP @t261 @t677)))) % 1.23/1.47 (assume @p479 (forall @t259 (=> @t172 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t677) (tptp.c_RComplete_Onatfloor @t81)))))) % 1.23/1.47 (assume @p480 (= (tptp.c_RComplete_Onatfloor @t10) @t417)) % 1.23/1.47 (assume @p481 (forall @t570 (= (tptp.hBOOL (tptp.hAPP @t699 @t7)) @t437))) % 1.23/1.47 (assume @p482 (forall @t687 (=> (tptp.hBOOL (tptp.hAPP @t171 @t702)) (tptp.hBOOL (tptp.hAPP @t672 @t30))))) % 1.23/1.47 (assume @p483 (forall @t20 (=> @t673 (= @t677 @t71)))) % 1.23/1.47 (assume @p484 (forall @t570 (= (tptp.hBOOL (tptp.hAPP @t19 @t691)) @t440))) % 1.23/1.47 (assume @p485 (forall @t692 (= @t367 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t11 @t691) @t10)) @t690))))) % 1.23/1.47 (assume @p486 (forall @t692 (= @t698 (tptp.hBOOL (tptp.hAPP @t697 (tptp.hAPP (tptp.hAPP @t11 @t690) @t10)))))) % 1.23/1.47 (assume @p487 (forall @t696 (=> @t695 (= (tptp.hBOOL (tptp.hAPP @t675 @t67)) (tptp.hBOOL (tptp.hAPP @t166 @t693)))))) % 1.23/1.47 (assume @p488 (forall @t620 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t417) @t694)) @t705))) % 1.23/1.47 (assume @p489 (forall @t687 (=> @t671 (= (tptp.c_RComplete_Onatceiling @t703) (tptp.hAPP @t668 @t30))))) % 1.23/1.47 (assume @p490 (forall @t700 (=> @t671 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t707 @t16)) @t10)) (tptp.hAPP (tptp.hAPP @t706 @t670) @t260)))))) % 1.23/1.47 (assume @p491 (forall (@list @t665 @t580 @t708 @t21) (=> @t204 (=> (forall @t15 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t708) @t13)) @t666)) @t659)))) % 1.23/1.47 (assume @p492 (forall @t716 (=> @t715 (= @t714 (exists @t713 (forall @t15 (tptp.hBOOL (tptp.hAPP @t712 @t710)))))))) % 1.23/1.47 (assume @p493 (forall @t716 (=> @t715 (= @t714 (exists @t713 (forall @t15 (tptp.hBOOL (tptp.hAPP @t717 @t710)))))))) % 1.23/1.47 (assume @p494 (forall @t262 (tptp.hBOOL (tptp.hAPP @t263 @t718)))) % 1.23/1.47 (assume @p495 (forall @t370 (=> @t333 @t721))) % 1.23/1.47 (assume @p496 (forall @t262 (tptp.hBOOL (tptp.hAPP @t419 @t718)))) % 1.23/1.47 (assume @p497 (forall (@list @t260 @t195 @t21) (=> @t27 (=> (tptp.hBOOL (tptp.hAPP @t34 @t195)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t195) @t22)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 (tptp.hAPP (tptp.hAPP @t722 @t195) @t718)) @t195))))))) % 1.23/1.47 (assume @p498 (forall @t728 (=> @t264 (= @t727 @t726)))) % 1.23/1.47 (assume @p499 (forall @t728 (=> @t264 (= @t726 @t727)))) % 1.23/1.47 (assume @p500 (forall @t728 (=> @t264 (= (tptp.hAPP @t729 @t16) @t727)))) % 1.23/1.47 (assume @p501 (forall @t733 (=> @t264 (= (tptp.hAPP (tptp.hAPP @t722 @t732) @t723) (tptp.hAPP @t724 (tptp.hAPP @t731 @t723)))))) % 1.23/1.47 (assume @p502 (forall (@list @t723 @t81 @t16 @t21) (=> @t264 (= (tptp.hAPP (tptp.hAPP @t722 @t296) @t723) (tptp.hAPP @t729 (tptp.hAPP @t734 @t723)))))) % 1.23/1.47 (assume @p503 (forall @t209 (=> @t264 (= (tptp.hAPP @t724 @t417) @t16)))) % 1.23/1.47 (assume @p504 (forall @t370 (=> @t721 @t333))) % 1.23/1.47 (assume @p505 (forall @t370 (=> @t735 @t333))) % 1.23/1.47 (assume @p506 (forall @t370 (=> @t737 (=> @t736 @t369)))) % 1.23/1.47 (assume @p507 (forall @t122 (=> @t317 (=> @t739 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t738) @t118)))))) % 1.23/1.47 (assume @p508 (forall @t370 (=> @t333 (=> (not (= @t719 @t260)) @t735)))) % 1.23/1.47 (assume @p509 (forall @t370 (=> @t333 @t737))) % 1.23/1.47 (assume @p510 (forall @t290 (=> (not @t384) (=> (tptp.hBOOL (tptp.hAPP @t263 @t719)) @t369)))) % 1.23/1.47 (assume @p511 (forall @t692 (=> (not @t367) @t742))) % 1.23/1.47 (assume @p512 (forall @t307 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t740) @t743)) @t309))) % 1.23/1.47 (assume @p513 (forall @t307 (= @t744 @t388))) % 1.23/1.47 (assume @p514 (forall @t307 (= (not @t309) @t741))) % 1.23/1.47 (assume @p515 (forall @t370 (= @t746 @t745))) % 1.23/1.47 (assume @p516 (forall @t370 (= @t746 @t747))) % 1.23/1.47 (assume @p517 (forall @t370 (= @t745 @t747))) % 1.23/1.47 (assume @p518 (forall @t370 (=> @t748 @t341))) % 1.23/1.47 (assume @p519 (forall @t370 (=> @t749 (=> (not @t341) (= @t286 @t718))))) % 1.23/1.47 (assume @p520 (forall @t370 (=> @t341 @t749))) % 1.23/1.47 (assume @p521 (forall @t692 (= (tptp.hBOOL (tptp.hAPP @t750 @t740)) @t698))) % 1.23/1.47 (assume @p522 (forall @t307 (= (tptp.hBOOL (tptp.hAPP @t305 @t743)) (or @t306 (= @t300 @t743))))) % 1.23/1.47 (assume @p523 (forall @t307 (= (not @t306) @t751))) % 1.23/1.47 (assume @p524 (forall @t262 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t718) @t260))))) % 1.23/1.47 (assume @p525 (forall @t314 (= (= @t754 @t753) @t368))) % 1.23/1.47 (assume @p526 (forall @t758 (=> @t298 (= @t757 @t755)))) % 1.23/1.47 (assume @p527 (forall @t262 (not (= @t260 @t718)))) % 1.23/1.47 (assume @p528 (forall @t262 (not (= @t718 @t260)))) % 1.23/1.47 (assume @p529 (forall (@list @t759 @t760) (= (= (tptp.c_Nat_OSuc @t760) (tptp.c_Nat_OSuc @t759)) (= @t760 @t759)))) % 1.23/1.47 (assume @p530 (forall @t259 (=> (= (tptp.c_Nat_OSuc @t16) (tptp.c_Nat_OSuc @t81)) @t87))) % 1.23/1.47 (assume @p531 (forall @t393 (not (= @t719 @t71)))) % 1.23/1.47 (assume @p532 (forall @t393 (not (= @t71 @t719)))) % 1.23/1.47 (assume @p533 (forall (@list @t761) (not (= (tptp.c_Nat_OSuc @t761) @t71)))) % 1.23/1.47 (assume @p534 (forall (@list @t762) (not (= @t71 (tptp.c_Nat_OSuc @t762))))) % 1.23/1.47 (assume @p535 (forall @t758 (=> @t208 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t757) @t755))))) % 1.23/1.47 (assume @p536 (forall @t209 (=> @t264 (= (tptp.hAPP @t724 @t71) @t22)))) % 1.23/1.47 (assume @p537 (forall @t733 (=> @t264 (= (tptp.hAPP (tptp.hAPP @t272 @t732) @t725) (tptp.hAPP @t724 (tptp.hAPP (tptp.hAPP @t280 @t730) @t723)))))) % 1.23/1.47 (assume @p538 (forall @t570 (= @t440 (exists (@list @t579) (= @t303 (tptp.c_Nat_OSuc @t579)))))) % 1.23/1.47 (assume @p539 (forall @t570 (= (tptp.hBOOL (tptp.hAPP @t366 @t763)) @t437))) % 1.23/1.47 (assume @p540 (forall @t307 (= @t744 (or @t438 (exists @t766 (and (= @t300 (tptp.c_Nat_OSuc @t764)) (tptp.hBOOL (tptp.hAPP @t765 @t303)))))))) % 1.23/1.47 (assume @p541 (forall @t307 (= (= @t763 @t568) @t769))) % 1.23/1.47 (assume @p542 (forall @t307 (= (= @t568 @t763) @t769))) % 1.23/1.47 (assume @p543 (forall @t307 (= (= @t439 @t763) (and @t768 @t767)))) % 1.23/1.47 (assume @p544 (forall @t307 (= @t309 (exists @t304 (= @t303 (tptp.c_Nat_OSuc @t302)))))) % 1.23/1.47 (assume @p545 (forall @t770 (tptp.hBOOL (tptp.hAPP @t316 (tptp.c_Nat_OSuc (tptp.hAPP @t287 @t119)))))) % 1.23/1.47 (assume @p546 (forall @t770 (tptp.hBOOL (tptp.hAPP @t316 (tptp.c_Nat_OSuc (tptp.hAPP @t281 @t286)))))) % 1.23/1.47 (assume @p547 (forall @t692 (= @t367 @t751))) % 1.23/1.47 (assume @p548 (forall @t307 (= @t744 @t306))) % 1.23/1.47 (assume @p549 (forall @t307 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t740) @t303)) @t309))) % 1.23/1.47 (assume @p550 (forall @t370 (=> @t341 @t737))) % 1.23/1.47 (assume @p551 (forall @t370 (=> @t333 @t748))) % 1.23/1.47 (assume @p552 (forall @t307 (=> @t306 @t742))) % 1.23/1.47 (assume @p553 (forall @t370 (=> @t748 @t333))) % 1.23/1.47 (assume @p554 (= @t417 @t763)) % 1.23/1.47 (assume @p555 (forall @t314 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t754) @t753)) @t309))) % 1.23/1.47 (assume @p556 (forall @t370 (= (tptp.hAPP @t391 @t718) (tptp.hAPP @t287 @t418)))) % 1.23/1.47 (assume @p557 (forall @t370 (= (tptp.hAPP (tptp.hAPP @t371 @t719) @t260) (tptp.hAPP @t291 @t418)))) % 1.23/1.47 (assume @p558 (forall @t314 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t754) @t753)) @t306))) % 1.23/1.47 (assume @p559 (forall @t262 (= @t718 (tptp.hAPP (tptp.hAPP @t280 @t417) @t260)))) % 1.23/1.47 (assume @p560 (forall @t262 (= @t718 @t679))) % 1.23/1.47 (assume @p561 (forall @t589 (=> @t225 (= @t588 (or (forall @t15 (tptp.hBOOL (tptp.hAPP @t583 @t772))) (forall @t15 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t772) @t582)))))))) % 1.23/1.47 (assume @p562 (forall @t619 (= @t618 (forall @t15 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t617) (tptp.hAPP @t2 @t771))))))) % 1.23/1.47 (assume @p563 (forall @t570 (= @t366 @t750))) % 1.23/1.47 (assume @p564 (forall @t290 (=> @t775 (=> @t774 (tptp.hBOOL (tptp.hAPP @t773 @t418)))))) % 1.23/1.47 (assume @p565 (forall @t290 (=> @t775 (=> @t774 (tptp.hBOOL (tptp.hAPP @t263 @t602)))))) % 1.23/1.47 (assume @p566 (forall @t290 (=> @t775 (=> @t774 (tptp.hBOOL (tptp.hAPP @t263 @t418)))))) % 1.23/1.47 (assume @p567 (forall @t307 (= (tptp.hBOOL (tptp.hAPP @t776 @t439)) (and (tptp.hBOOL (tptp.hAPP @t776 @t300)) (tptp.hBOOL (tptp.hAPP @t776 @t303)))))) % 1.23/1.47 (assume @p568 (forall @t262 (tptp.hBOOL (tptp.hAPP @t19 @t777)))) % 1.23/1.47 (assume @p569 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t763) @t10)) % 1.23/1.47 (assume @p570 (forall @t262 (= @t777 @t681))) % 1.23/1.47 (assume @p571 (forall @t589 (=> @t204 (= @t659 (exists @t713 (forall @t15 (tptp.hBOOL (tptp.hAPP @t657 @t710)))))))) % 1.23/1.47 (assume @p572 (forall @t589 (=> @t204 (= @t659 (exists @t713 (forall @t15 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t656) @t710)))))))) % 1.23/1.47 (assume @p573 (forall @t620 (=> @t695 (=> @t674 (tptp.c_SEQ_Omonoseq tptp.tc_RealDef_Oreal @t778))))) % 1.23/1.47 (assume @p574 (forall @t620 (=> @t695 (=> @t674 (tptp.c_SEQ_Oconvergent tptp.tc_RealDef_Oreal @t778))))) % 1.23/1.47 (assume @p575 (forall @t620 (=> @t695 (=> @t674 (tptp.c_SEQ_OBseq tptp.tc_RealDef_Oreal @t778))))) % 1.23/1.47 (assume @p576 (forall @t785 (=> @t27 (=> @t150 (=> @t41 (=> @t565 @t784)))))) % 1.23/1.47 (assume @p577 (forall @t787 (=> @t27 (=> @t786 (=> @t565 (tptp.hBOOL (tptp.hAPP @t189 @t782))))))) % 1.23/1.47 (assume @p578 (forall @t792 (=> @t27 (=> @t791 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t790) @t789)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t77) @t162))))))) % 1.23/1.47 (assume @p579 (forall @t794 (=> @t27 (=> @t786 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t793) @t782)) @t341))))) % 1.23/1.47 (assume @p580 (forall @t173 (= (tptp.hAPP @t796 @t593) (tptp.hAPP (tptp.hAPP @t798 @t797) (tptp.hAPP @t796 @t72))))) % 1.23/1.47 (assume @p581 (forall @t173 (= (tptp.hAPP (tptp.hAPP @t795 @t797) @t72) (tptp.hAPP @t796 (tptp.hAPP (tptp.hAPP @t371 @t81) @t72))))) % 1.23/1.47 (assume @p582 (forall @t262 (= (tptp.hAPP (tptp.hAPP @t799 @t763) @t260) @t763))) % 1.23/1.47 (assume @p583 (forall (@list @t300 @t77) (= (= (tptp.hAPP @t800 @t300) @t763) (or @t438 (= @t77 @t763))))) % 1.23/1.47 (assume @p584 (forall @t803 (= (tptp.hBOOL (tptp.hAPP @t802 (tptp.hAPP (tptp.hAPP @t795 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t77)) @t303))) (or (not (= @t77 @t801)) @t437)))) % 1.23/1.47 (assume @p585 (forall (@list @t260 @t286 @t119) (=> (tptp.hBOOL (tptp.hAPP @t419 @t119)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t804 @t286)) @t805)) @t333)))) % 1.23/1.47 (assume @p586 (forall @t803 (= @t807 (or @t806 @t437)))) % 1.23/1.47 (assume @p587 (forall @t808 (=> (tptp.hBOOL (tptp.hAPP @t776 @t119)) (tptp.hBOOL (tptp.hAPP @t776 @t805))))) % 1.23/1.47 (assume @p588 (forall @t370 (= @t810 @t809))) % 1.23/1.47 (assume @p589 (forall @t370 (= @t809 @t810))) % 1.23/1.47 (assume @p590 (forall @t700 (=> (= @t16 @t688) (= (tptp.c_RComplete_Onatfloor @t811) (tptp.hAPP (tptp.hAPP @t799 @t677) @t260))))) % 1.23/1.47 (assume @p591 (forall @t787 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t21) (=> @t449 (not (= @t782 @t25)))))) % 1.23/1.47 (assume @p592 (forall @t785 (=> @t473 (= (tptp.hAPP (tptp.hAPP @t722 @t346) @t260) (tptp.hAPP @t812 @t780))))) % 1.23/1.47 (assume @p593 (forall @t787 (=> @t474 (= @t814 @t813)))) % 1.23/1.47 (assume @p594 (forall @t815 (=> @t474 (= (tptp.hAPP (tptp.hAPP @t722 @t22) @t260) @t22)))) % 1.23/1.47 (assume @p595 (forall @t787 (=> @t90 (= (tptp.c_Groups_Oabs__class_Oabs @t21 @t782) @t816)))) % 1.23/1.47 (assume @p596 (forall @t794 (=> @t474 (= (tptp.hAPP @t781 @t418) (tptp.hAPP (tptp.hAPP @t722 @t793) @t260))))) % 1.23/1.47 (assume @p597 (forall @t66 (=> @t474 (= (tptp.hAPP @t781 @t417) @t30)))) % 1.23/1.47 (assume @p598 (forall @t787 (=> @t27 (=> @t41 (tptp.hBOOL (tptp.hAPP @t34 @t782)))))) % 1.23/1.47 (assume @p599 (forall @t785 (=> @t27 (=> @t130 (=> @t41 (tptp.hBOOL (tptp.hAPP @t817 @t780))))))) % 1.23/1.47 (assume @p600 (forall @t787 (=> @t27 (=> @t36 (tptp.hBOOL (tptp.hAPP @t26 @t782)))))) % 1.23/1.47 (assume @p601 (forall @t787 (=> @t27 (=> @t818 (tptp.hBOOL (tptp.hAPP @t186 @t782)))))) % 1.23/1.47 (assume @p602 (forall (@list @t303 @t67 @t21) (=> (and @t821 @t453 @t447 @t161) (= (= @t820 @t25) (and @t68 @t571))))) % 1.23/1.47 (assume @p603 (forall (@list @t303 @t300 @t67 @t21) (=> @t27 (=> (tptp.hBOOL (tptp.hAPP @t189 @t67)) (= (= (tptp.hAPP @t819 @t300) @t820) @t368))))) % 1.23/1.47 (assume @p604 (forall @t815 (=> @t823 (= (tptp.hAPP @t822 @t718) @t25)))) % 1.23/1.47 (assume @p605 (forall @t787 (=> @t474 (= @t824 @t814)))) % 1.23/1.47 (assume @p606 (forall @t787 (=> @t821 (= @t824 @t813)))) % 1.23/1.47 (assume @p607 (forall @t66 (=> @t821 (= (tptp.hAPP @t781 @t71) @t22)))) % 1.23/1.47 (assume @p608 (forall @t794 (=> @t474 (= (tptp.hAPP @t781 @t288) (tptp.hAPP (tptp.hAPP @t272 @t793) @t782))))) % 1.23/1.47 (assume @p609 (forall @t825 (=> @t27 (=> @t784 (=> @t35 @t150))))) % 1.23/1.47 (assume @p610 (forall @t825 (=> @t27 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t824) @t826)) (=> @t35 @t130))))) % 1.23/1.47 (assume @p611 (forall @t825 (=> @t27 (=> (= @t824 @t826) (=> @t41 (=> @t35 @t229)))))) % 1.23/1.47 (assume @p612 (forall @t787 (=> @t27 (=> @t786 (tptp.hBOOL (tptp.hAPP @t783 @t813)))))) % 1.23/1.47 (assume @p613 (forall @t787 (=> @t27 (=> @t786 (tptp.hBOOL (tptp.hAPP @t189 @t813)))))) % 1.23/1.47 (assume @p614 (forall @t815 (=> @t823 (and (=> @t566 (= @t827 @t22)) (=> @t567 (= @t827 @t25)))))) % 1.23/1.47 (assume @p615 (forall @t787 (=> @t90 (tptp.hBOOL (tptp.hAPP @t34 @t816))))) % 1.23/1.47 (assume @p616 (forall @t787 (=> @t27 (=> @t786 (tptp.hBOOL (tptp.hAPP @t189 @t824)))))) % 1.23/1.47 (assume @p617 (forall @t831 (=> @t27 (=> @t830 (=> @t786 (tptp.hBOOL (tptp.hAPP @t783 @t829))))))) % 1.23/1.47 (assume @p618 (forall @t794 (=> @t27 (=> @t786 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t793) @t782)) @t333))))) % 1.23/1.47 (assume @p619 (forall @t792 (=> @t27 (=> @t791 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t790) @t789)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t77) @t162))))))) % 1.23/1.47 (assume @p620 (forall @t831 (=> @t27 (=> @t832 (=> @t818 (tptp.hBOOL (tptp.hAPP @t817 @t829))))))) % 1.23/1.47 (assume @p621 (forall @t787 (=> @t27 (=> @t36 (=> @t833 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t813) @t782))))))) % 1.23/1.47 (assume @p622 (forall @t787 (=> @t27 (=> @t36 (=> @t833 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t824) @t22))))))) % 1.23/1.47 (assume @p623 (forall @t831 (=> @t27 (=> @t830 (=> @t36 (=> @t833 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t829) @t782)))))))) % 1.23/1.47 (assume @p624 (forall @t825 (=> @t27 (=> (= @t782 @t780) (=> @t41 (=> @t35 (=> @t565 @t229))))))) % 1.23/1.47 (assume @p625 (forall @t831 (=> @t27 (=> @t832 (=> @t41 (=> (tptp.hBOOL (tptp.hAPP @t59 @t22)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t829) @t782)))))))) % 1.23/1.47 (assume @p626 (forall (@list @t260 @t29) (=> (not (= @t29 @t253)) (=> @t567 (exists (@list @t834) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.hAPP @t75 @t254) (tptp.hAPP (tptp.hAPP @t611 @t29) (tptp.hAPP (tptp.hAPP @t835 @t834) @t260))))) @t10))))))) % 1.23/1.47 (assume @p627 (forall @t20 (=> (tptp.hBOOL (tptp.hAPP @t385 @t836)) (or (= @t16 @t71) (= @t16 @t763))))) % 1.23/1.47 (assume @p628 (forall @t28 (=> @t821 (= @t722 (tptp.c_Power_Opower_Opower @t21 @t22 @t272))))) % 1.23/1.47 (assume @p629 (forall @t700 (tptp.hBOOL (tptp.hAPP @t837 (tptp.hAPP (tptp.hAPP @t795 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t16)) @t260))))) % 1.23/1.47 (assume @p630 (forall @t482 (= (tptp.hAPP (tptp.hAPP @t798 @t838) @t72) @t72))) % 1.23/1.47 (assume @p631 (forall @t482 (= (tptp.hAPP @t839 @t838) @t72))) % 1.23/1.47 (assume @p632 (forall @t846 (= (tptp.hAPP @t840 @t845) (tptp.hAPP (tptp.hAPP @t843 @t842) @t841)))) % 1.23/1.47 (assume @p633 (forall @t487 (= (tptp.hAPP (tptp.hAPP @t798 @t845) @t74) (tptp.hAPP (tptp.hAPP @t843 @t850) @t848)))) % 1.23/1.47 (assume @p634 (forall @t307 (=> (tptp.hBOOL (tptp.hAPP @t802 @t300)) (= (= (tptp.hAPP (tptp.hAPP @t798 @t300) @t303) @t838) (and (= @t300 @t838) (= @t303 @t838)))))) % 1.23/1.47 (assume @p635 (forall @t122 (=> @t853 (=> @t852 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t851 @t119)) (tptp.hAPP @t851 @t121))))))) % 1.23/1.47 (assume @p636 (forall @t370 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t798 @t286) @t260)) @t838) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t286) @t838)))) % 1.23/1.47 (assume @p637 (forall @t604 (= (tptp.hAPP (tptp.hAPP @t798 (tptp.hAPP @t849 @t483)) @t603) (tptp.hAPP @t849 (tptp.hAPP @t847 @t603))))) % 1.23/1.47 (assume @p638 (forall @t117 (= (tptp.hAPP @t839 @t74) (tptp.hAPP @t840 @t72)))) % 1.23/1.47 (assume @p639 (forall (@list @t72 @t856 @t74 @t857) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t857) @t74)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t856) @t72)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t843 @t857) @t856)) @t855)))))) % 1.23/1.47 (assume @p640 (forall @t122 (=> @t853 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t843 @t119) @t118)) (tptp.hAPP (tptp.hAPP @t843 @t121) @t118)))))) % 1.23/1.47 (assume @p641 (forall @t76 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t74) @t72)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t854 @t838)) @t72))))) % 1.23/1.47 (assume @p642 (forall @t482 (=> (tptp.hBOOL (tptp.hAPP @t837 @t72)) (tptp.hBOOL (tptp.hAPP @t802 @t859))))) % 1.23/1.47 (assume @p643 (forall @t861 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t843 (tptp.hAPP @t858 @t397)) @t397)) @t801)) (tptp.hBOOL (tptp.hAPP @t860 @t801))))) % 1.23/1.47 (assume @p644 (forall @t864 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t843 @t398) @t838)) @t397)) @t863))) % 1.23/1.47 (assume @p645 (forall @t861 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t397)) @t838)) (= @t397 @t801)))) % 1.23/1.47 (assume @p646 (forall @t864 (= @t865 (or @t863 (= @t398 @t397))))) % 1.23/1.47 (assume @p647 (forall @t864 (= @t865 (tptp.hBOOL (tptp.hAPP @t866 @t397))))) % 1.23/1.47 (assume @p648 (forall @t259 (or (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t16) @t81)) @t87 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t81) @t16))))) % 1.23/1.47 (assume @p649 (forall (@list @t398 @t397) (= (tptp.hBOOL (tptp.hAPP @t860 @t398)) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t397) @t398)) (not (= @t397 @t398)))))) % 1.23/1.47 (assume @p650 (forall @t482 (= (tptp.hAPP @t867 @t801) @t72))) % 1.23/1.47 (assume @p651 (forall @t861 (= (tptp.hBOOL (tptp.hAPP @t868 @t397)) (tptp.hBOOL (tptp.hAPP @t802 @t397))))) % 1.23/1.47 (assume @p652 (forall @t482 (= (tptp.hAPP (tptp.hAPP @t843 @t801) @t72) @t72))) % 1.23/1.47 (assume @p653 (tptp.hBOOL (tptp.hAPP @t802 @t838))) % 1.23/1.47 (assume @p654 (forall @t482 (not (= (tptp.hAPP (tptp.hAPP @t843 @t859) @t72) @t801)))) % 1.23/1.47 (assume @p655 (not (= @t801 @t838))) % 1.23/1.47 (assume @p656 (forall (@list @t67 @t870 @t869 @t21) (= (tptp.hAPP @t871 @t71) @t869))) % 1.23/1.47 (assume @p657 (forall (@list @t303 @t67 @t870 @t869 @t21) (= (tptp.hAPP @t871 @t743) (tptp.hAPP (tptp.hAPP @t870 @t67) (tptp.hAPP @t871 @t303))))) % 1.23/1.47 (assume @p658 (forall @t803 (= @t807 (or @t437 @t806)))) % 1.23/1.47 (assume @p659 (forall @t876 (=> @t875 (=> @t874 (=> @t873 (tptp.hBOOL (tptp.hAPP @t872 @t838))))))) % 1.23/1.47 (assume @p660 (forall @t876 (=> @t875 (=> @t874 (=> (tptp.hBOOL (tptp.hAPP @t877 @t30)) (tptp.hBOOL (tptp.hAPP @t868 @t723))))))) % 1.23/1.47 (assume @p661 (forall @t885 (=> @t884 (=> @t882 (=> @t879 (tptp.hBOOL (tptp.hAPP @t837 @t878))))))) % 1.23/1.47 (assume @p662 (forall @t122 (=> @t888 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t886 @t119)) (tptp.hAPP @t886 @t121)))))) % 1.23/1.47 (assume @p663 (forall @t604 (= (tptp.hAPP (tptp.hAPP @t843 @t845) @t603) (tptp.hAPP @t844 (tptp.hAPP (tptp.hAPP @t843 @t483) @t603))))) % 1.23/1.47 (assume @p664 (forall @t173 (= (tptp.hAPP @t889 (tptp.hAPP @t890 @t72)) (tptp.hAPP @t890 (tptp.hAPP @t889 @t72))))) % 1.23/1.47 (assume @p665 (forall @t117 (= (tptp.hAPP @t867 @t74) @t855))) % 1.23/1.47 (assume @p666 (forall @t117 (=> @t893 (=> @t892 @t113)))) % 1.23/1.47 (assume @p667 (forall @t122 (=> @t888 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t121) @t118)) (tptp.hBOOL (tptp.hAPP @t887 @t118)))))) % 1.23/1.47 (assume @p668 (forall @t117 (or @t893 @t892))) % 1.23/1.47 (assume @p669 (forall @t123 (tptp.hBOOL (tptp.hAPP @t891 @t74)))) % 1.23/1.47 (assume @p670 (forall @t903 (=> @t902 (=> @t899 (=> @t898 (=> @t897 (=> @t879 (=> @t896 @t895)))))))) % 1.23/1.47 (assume @p671 (forall @t907 (=> @t906 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t195) @t801)) (=> (tptp.hBOOL (tptp.hAPP @t905 @t195)) (=> (tptp.hBOOL (tptp.hAPP @t905 @t880)) @t904)))))) % 1.23/1.47 (assume @p672 (forall @t903 (=> @t902 (=> @t884 (=> @t882 (=> @t873 (=> @t879 (=> @t896 @t904)))))))) % 1.23/1.47 (assume @p673 (forall @t907 (=> @t906 (=> @t897 (=> (tptp.hBOOL (tptp.hAPP @t881 @t29)) (=> @t898 @t895)))))) % 1.23/1.47 (assume @p674 (forall @t885 (=> @t899 (=> @t897 (=> @t879 (tptp.hBOOL (tptp.hAPP @t894 @t801))))))) % 1.23/1.47 (assume @p675 (forall @t700 (=> @t908 (tptp.hBOOL (tptp.hAPP @t837 (tptp.hAPP @t796 @t260)))))) % 1.23/1.47 (assume @p676 (forall @t259 (=> @t908 (=> @t909 (tptp.hBOOL (tptp.hAPP @t837 (tptp.hAPP (tptp.hAPP @t798 @t16) @t81))))))) % 1.23/1.47 (assume @p677 (forall @t259 (=> @t908 (=> @t909 (tptp.hBOOL (tptp.hAPP @t837 (tptp.hAPP @t889 @t81))))))) % 1.23/1.47 (assume @p678 (tptp.hBOOL (tptp.hAPP @t837 @t801))) % 1.23/1.47 (assume @p679 (tptp.hBOOL (tptp.hAPP @t837 @t838))) % 1.23/1.47 (assume @p680 (forall (@list @t260 @t30 @t195) (= (tptp.hAPP (tptp.hAPP @t835 @t911) @t260) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t706 @t195) @t260) @t910)))) % 1.23/1.47 (assume @p681 (forall @t213 (=> @t915 (exists @t15 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t914) @t195)) (tptp.hBOOL (tptp.hAPP @t913 @t912))))))) % 1.23/1.47 (assume @p682 (forall @t919 (=> @t565 (=> @t918 (exists @t6 (and (tptp.hBOOL (tptp.hAPP @t19 @t3)) (= (tptp.hAPP (tptp.hAPP @t706 @t3) @t260) @t30) (forall @t917 (=> (and (tptp.hBOOL (tptp.hAPP @t19 @t916)) (= (tptp.hAPP (tptp.hAPP @t706 @t916) @t260) @t30)) (= @t916 @t3))))))))) % 1.23/1.47 (assume @p683 (forall @t920 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t911) @t212))) % 1.23/1.47 (assume @p684 (forall @t921 (= (tptp.c_Complex_Orcis @t7 @t30) @t253))) % 1.23/1.47 (assume @p685 (forall (@list @t29 @t924 @t30 @t925) (= (tptp.hAPP (tptp.hAPP @t611 (tptp.c_Complex_Orcis @t925 @t30)) (tptp.c_Complex_Orcis @t924 @t29)) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t293 @t925) @t924) @t923)))) % 1.23/1.47 (assume @p686 (forall @t919 (=> @t565 (=> @t918 (exists @t929 (and @t928 (= (tptp.hAPP @t927 @t260) @t30))))))) % 1.23/1.47 (assume @p687 (forall @t919 (= (tptp.c_Complex_Ocis (tptp.hAPP (tptp.hAPP @t293 @t777) @t30)) (tptp.hAPP @t932 @t930)))) % 1.23/1.47 (assume @p688 (forall @t934 (=> @t538 (=> @t671 (exists @t15 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t933 @t81)) @t16)) (tptp.hBOOL (tptp.hAPP @t536 (tptp.hAPP (tptp.hAPP @t293 @t912) @t81))))))))) % 1.23/1.47 (assume @p689 (forall @t676 (= (tptp.hAPP @t932 @t935) (tptp.c_Complex_Ocis @t923)))) % 1.23/1.47 (assume @p690 (= (tptp.c_Complex_Ocis @t7) @t254)) % 1.23/1.47 (assume @p691 (forall @t921 (= @t931 (tptp.c_Complex_Orcis @t10 @t30)))) % 1.23/1.47 (assume @p692 (forall @t937 (= @t936 @t930))) % 1.23/1.47 (assume @p693 (forall @t700 (=> @t539 (= (tptp.c_Transcendental_Oln @t811) (tptp.hAPP @t707 @t938))))) % 1.23/1.47 (assume @p694 (forall @t919 (= (tptp.c_Transcendental_Ocos @t910) (tptp.hAPP tptp.c_Complex_ORe @t936)))) % 1.23/1.47 (assume @p695 (forall @t919 (= (tptp.c_Transcendental_Osin @t910) (tptp.hAPP tptp.c_Complex_OIm @t936)))) % 1.23/1.47 (assume @p696 (forall @t259 (= (tptp.c_Transcendental_Osin @t947) (tptp.hAPP (tptp.hAPP @t11 @t946) @t942)))) % 1.23/1.47 (assume @p697 (forall @t20 (= (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t941 @t940)) (tptp.hAPP @t945 @t944)) @t10))) % 1.23/1.47 (assume @p698 (forall @t20 (=> @t949 (= @t948 @t10)))) % 1.23/1.47 (assume @p699 (forall @t20 (=> (= @t940 @t10) @t949))) % 1.23/1.47 (assume @p700 (= (tptp.c_Transcendental_Ocos @t7) @t10)) % 1.23/1.47 (assume @p701 (forall @t20 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t940) @t10)))) % 1.23/1.47 (assume @p702 (forall @t20 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t944) @t10)))) % 1.23/1.47 (assume @p703 (= (tptp.c_Transcendental_Osin @t7) @t7)) % 1.23/1.47 (assume @p704 (forall @t921 (= (tptp.hAPP tptp.c_Complex_OIm @t931) @t950))) % 1.23/1.47 (assume @p705 (forall @t921 (= (tptp.hAPP tptp.c_Complex_ORe @t931) @t951))) % 1.23/1.47 (assume @p706 (forall @t168 (=> @t956 (=> @t955 (= (tptp.hBOOL (tptp.hAPP @t954 @t952)) @t165))))) % 1.23/1.47 (assume @p707 (forall @t168 (=> @t956 (=> @t955 (= (= @t953 @t952) @t163))))) % 1.23/1.47 (assume @p708 (forall @t20 (=> @t539 (tptp.hBOOL (tptp.hAPP @t957 @t16))))) % 1.23/1.47 (assume @p709 (= (tptp.c_Transcendental_Oln @t10) @t7)) % 1.23/1.47 (assume @p710 (forall @t20 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t944)) @t10)))) % 1.23/1.47 (assume @p711 (forall @t20 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t948) @t10)))) % 1.23/1.47 (assume @p712 (forall @t920 (= (tptp.hAPP tptp.c_Complex_OIm @t911) (tptp.hAPP @t443 @t950)))) % 1.23/1.47 (assume @p713 (forall @t920 (= (tptp.hAPP tptp.c_Complex_ORe @t911) (tptp.hAPP @t443 @t951)))) % 1.23/1.47 (assume @p714 (forall @t168 (=> @t956 (=> @t955 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t953) @t952)) @t167))))) % 1.23/1.47 (assume @p715 (forall @t20 (=> @t959 @t958))) % 1.23/1.47 (assume @p716 (forall @t20 (=> @t962 (=> @t539 @t961)))) % 1.23/1.48 (assume @p717 (forall @t20 (=> @t539 (=> (tptp.hBOOL (tptp.hAPP @t536 @t10)) (tptp.hBOOL (tptp.hAPP @t957 @t7)))))) % 1.23/1.48 (assume @p718 (forall @t620 (=> @t956 (= (tptp.hBOOL (tptp.hAPP @t954 @t7)) (tptp.hBOOL (tptp.hAPP @t164 @t10)))))) % 1.23/1.48 (assume @p719 (forall @t620 (=> @t956 (= (= @t953 @t7) (= @t77 @t10))))) % 1.23/1.48 (assume @p720 (forall @t620 (=> @t956 (= (tptp.hBOOL (tptp.hAPP @t19 @t953)) (tptp.hBOOL (tptp.hAPP @t960 @t77)))))) % 1.23/1.48 (assume @p721 (forall @t20 (=> @t961 @t962))) % 1.23/1.48 (assume @p722 (forall @t20 (=> @t958 (=> @t539 @t959)))) % 1.23/1.48 (assume @p723 (forall @t620 (=> @t956 (= (tptp.hBOOL (tptp.hAPP @t8 @t953)) @t705)))) % 1.23/1.48 (assume @p724 (forall @t259 (=> @t539 (=> @t538 (= (tptp.c_Transcendental_Oln @t537) (tptp.hAPP (tptp.hAPP @t11 @t938) @t963)))))) % 1.23/1.48 (assume @p725 (forall @t20 (=> @t671 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Transcendental_Oln (tptp.hAPP @t18 @t16))) @t16))))) % 1.23/1.48 (assume @p726 (forall @t964 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t590) @t10)) (= (tptp.c_Transcendental_Ocos (tptp.c_Transcendental_Oarccos @t81)) @t81)))) % 1.23/1.48 (assume @p727 (forall @t20 (=> @t539 (forall @t917 (exists @t15 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t916) (tptp.hAPP @t933 @t16)))))))) % 1.23/1.48 (assume @p728 (forall @t937 (=> @t918 (exists @t929 (and @t928 (= (tptp.hAPP @t927 @t718) @t30)))))) % 1.23/1.48 (assume @p729 (forall @t454 (=> @t442 (exists @t634 @t638)))) % 1.23/1.48 (assume @p730 (forall @t209 (=> @t442 (exists @t634 @t644)))) % 1.23/1.48 (assume @p731 (forall @t28 (=> @t442 (exists @t634 @t643)))) % 1.23/1.48 (assume @p732 (forall (@list @t16 @t260 @t21) (=> @t474 (=> @t565 (= (tptp.hAPP (tptp.hAPP @t272 (tptp.hAPP @t724 @t965)) @t16) @t756))))) % 1.23/1.48 (assume @p733 (forall @t262 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t718 @t417) @t260))) % 1.23/1.48 (assume @p734 (forall @t370 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t286 @t718) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t966 @t260)))) % 1.23/1.48 (assume @p735 (forall @t38 (=> @t204 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t970)) @t968))))) % 1.23/1.48 (assume @p736 (forall @t452 (=> @t972 (= @t145 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t971) @t25)))))) % 1.23/1.48 (assume @p737 (forall @t38 (=> @t204 (tptp.hBOOL (tptp.hAPP @t973 @t968))))) % 1.23/1.48 (assume @p738 (forall @t413 (=> @t972 (=> @t975 (= @t145 (tptp.hBOOL (tptp.hAPP @t974 @t408))))))) % 1.23/1.48 (assume @p739 (forall @t38 (=> @t977 (= (tptp.hAPP @t976 @t29) @t30)))) % 1.23/1.48 (assume @p740 (forall @t38 (=> @t977 (= (tptp.c_Groups_Ominus__class_Ominus @t21 @t32 @t29) @t30)))) % 1.23/1.48 (assume @p741 (forall @t370 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t978) @t286)))) % 1.23/1.48 (assume @p742 (forall @t981 (=> @t341 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t980) @t979))))) % 1.23/1.48 (assume @p743 (forall @t981 (=> @t341 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t286 @t326)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t260 @t326)))))) % 1.23/1.48 (assume @p744 (forall @t808 (=> (tptp.hBOOL (tptp.hAPP @t320 @t260)) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t260 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t260 @t119)) @t119)))) % 1.23/1.48 (assume @p745 (forall @t314 (=> @t985 (=> @t984 (= (= @t983 @t982) @t368))))) % 1.23/1.48 (assume @p746 (forall @t596 (=> (tptp.hBOOL (tptp.hAPP @t330 @t286)) (=> @t336 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t286 @t118) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t260 @t118)) @t978))))) % 1.23/1.48 (assume @p747 (forall @t314 (=> @t985 (=> @t984 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t983) @t982)) @t306))))) % 1.23/1.48 (assume @p748 (forall @t370 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t288 @t260) @t286))) % 1.23/1.48 (assume @p749 (forall @t290 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t292 @t260) @t286))) % 1.23/1.48 (assume @p750 (forall @t122 (= @t987 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t119 @t322)))) % 1.23/1.48 (assume @p751 (forall @t596 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t988 @t335) @t978))) % 1.23/1.48 (assume @p752 (forall @t339 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t337 @t597) @t978))) % 1.23/1.48 (assume @p753 (forall @t452 (=> @t972 (= @t160 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t971) @t25)))))) % 1.23/1.48 (assume @p754 (forall @t993 (=> @t442 (= @t992 (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t990 @t989)) @t991)) (tptp.hAPP @t345 @t989)))))) % 1.23/1.48 (assume @p755 (forall @t1000 (=> @t999 (= @t998 (= @t995 @t408))))) % 1.23/1.48 (assume @p756 (forall @t1000 (=> @t999 (= @t998 (= @t100 @t1001))))) % 1.23/1.48 (assume @p757 (forall @t993 (=> @t999 (= @t992 (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t295 @t989)) @t991))))) % 1.23/1.48 (assume @p758 (forall @t38 (=> @t64 (tptp.hBOOL (tptp.hAPP @t1005 @t1003))))) % 1.23/1.48 (assume @p759 (forall @t38 (=> @t64 (tptp.hBOOL (tptp.hAPP @t1005 @t1006))))) % 1.23/1.48 (assume @p760 (forall @t38 (=> @t64 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 (tptp.c_Groups_Oabs__class_Oabs @t21 @t1004)) @t1006))))) % 1.23/1.48 (assume @p761 (forall @t122 (= @t987 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t119 @t118) @t121)))) % 1.23/1.48 (assume @p762 (forall @t413 (=> @t1007 (=> @t975 (= @t412 @t411))))) % 1.23/1.48 (assume @p763 (forall @t38 (=> @t204 (= @t968 (tptp.c_RealVector_Onorm__class_Onorm @t21 @t1002))))) % 1.23/1.48 (assume @p764 (forall @t598 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1008 (tptp.c_Nat_OSuc @t118)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t978 @t118)))) % 1.23/1.48 (assume @p765 (forall @t370 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t719 @t718) @t978))) % 1.23/1.48 (assume @p766 (forall @t66 (=> @t977 (= (tptp.c_Groups_Ominus__class_Ominus @t21 @t30 @t25) @t30)))) % 1.23/1.48 (assume @p767 (forall @t66 (=> @t977 (= (tptp.c_Groups_Ominus__class_Ominus @t21 @t30 @t30) @t25)))) % 1.23/1.48 (assume @p768 (forall @t452 (=> @t1007 (= @t412 @t1009)))) % 1.23/1.48 (assume @p769 (forall @t452 (=> @t977 (= @t1009 @t412)))) % 1.23/1.48 (assume @p770 (forall @t413 (=> @t972 (=> @t975 (= @t160 (tptp.hBOOL (tptp.hAPP @t527 @t408))))))) % 1.23/1.48 (assume @p771 (forall @t262 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t71 @t260) @t71))) % 1.23/1.48 (assume @p772 (forall @t393 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t286 @t71) @t286))) % 1.23/1.48 (assume @p773 (forall @t393 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t286 @t286) @t71))) % 1.23/1.48 (assume @p774 (forall @t370 (=> @t1010 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t260 @t286) @t71) @t369)))) % 1.23/1.48 (assume @p775 (forall @t38 (=> @t64 (= @t1006 @t1003)))) % 1.23/1.48 (assume @p776 (forall (@list @t260 @t118 @t121) (=> @t739 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t121 @t260)) @t118))))) % 1.23/1.48 (assume @p777 (forall @t981 (=> @t333 (=> (tptp.hBOOL (tptp.hAPP @t332 @t326)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t980) @t979)))))) % 1.23/1.48 (assume @p778 (forall @t596 (= (tptp.hAPP @t379 @t978) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t595 @t594)))) % 1.23/1.48 (assume @p779 (forall @t598 (= (tptp.hAPP (tptp.hAPP @t371 @t978) @t118) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t601 @t600)))) % 1.23/1.48 (assume @p780 (forall @t460 (=> @t442 (= (tptp.hAPP @t1012 @t456) (tptp.c_Groups_Ominus__class_Ominus @t21 @t459 @t458))))) % 1.23/1.48 (assume @p781 (forall @t464 (=> @t442 (= (tptp.hAPP (tptp.hAPP @t272 (tptp.c_Groups_Ominus__class_Ominus @t21 @t30 @t461)) @t29) (tptp.c_Groups_Ominus__class_Ominus @t21 @t346 @t462))))) % 1.23/1.48 (assume @p782 (forall @t469 (=> @t442 (= (tptp.hAPP @t466 @t1011) (tptp.c_Groups_Ominus__class_Ominus @t21 @t468 @t467))))) % 1.23/1.48 (assume @p783 (forall @t472 (=> @t442 (= (tptp.hAPP @t345 (tptp.c_Groups_Ominus__class_Ominus @t21 @t29 @t470)) (tptp.c_Groups_Ominus__class_Ominus @t21 @t346 @t471))))) % 1.23/1.48 (assume @p784 (forall @t1015 (=> @t1014 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t119 @t1013) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t323 @t121))))) % 1.23/1.48 (assume @p785 (forall (@list @t1016 @t310 @t1018) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1020) @t1016)) (tptp.hBOOL (tptp.hAPP @t1019 @t1017))))) % 1.23/1.48 (assume @p786 (forall (@list @t286 @t260 @t118) (=> @t336 (tptp.hBOOL (tptp.hAPP @t340 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t292 @t118)))))) % 1.23/1.48 (assume @p787 (forall @t290 (=> @t376 @t1021))) % 1.23/1.48 (assume @p788 (forall @t1015 (=> @t1014 (= @t1023 @t1022)))) % 1.23/1.48 (assume @p789 (forall (@list @t1016 @t1018 @t310) (=> (tptp.hBOOL (tptp.hAPP @t615 @t1018)) (= (tptp.hBOOL (tptp.hAPP @t1024 @t1020)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1017) @t1018)))))) % 1.23/1.48 (assume @p790 (forall @t290 (=> @t376 (= (tptp.hAPP (tptp.hAPP @t280 @t978) @t260) @t286)))) % 1.23/1.48 (assume @p791 (forall @t1027 (=> @t1026 (= (= @t1025 @t310) (= @t1018 (tptp.hAPP @t311 @t1016)))))) % 1.23/1.48 (assume @p792 (forall @t1015 (=> @t1014 (= @t1022 @t1023)))) % 1.23/1.48 (assume @p793 (forall @t1015 (=> @t1014 (= @t1029 @t1028)))) % 1.23/1.48 (assume @p794 (forall @t1015 (=> @t1014 (= @t1028 @t1029)))) % 1.23/1.48 (assume @p795 (forall @t314 (=> @t985 (=> @t984 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t983) @t982)) @t309))))) % 1.23/1.48 (assume @p796 (forall @t1030 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t30) @t29)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t44) @t30)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t30 @t44)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t29 @t44))))))) % 1.23/1.48 (assume @p797 (forall @t1027 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1016) @t1020)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1017) @t1018))))) % 1.23/1.48 (assume @p798 (forall @t370 (=> @t736 @t1021))) % 1.23/1.48 (assume @p799 (forall @t290 (=> @t376 (= @t1008 (tptp.c_Nat_OSuc @t978))))) % 1.23/1.48 (assume @p800 (forall @t370 (=> @t341 @t1010))) % 1.23/1.48 (assume @p801 (forall @t307 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t300 @t303) @t71) @t306))) % 1.23/1.48 (assume @p802 (forall @t290 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t260 @t292) @t71))) % 1.23/1.48 (assume @p803 (forall @t370 (tptp.hBOOL (tptp.hAPP @t1031 @t719)))) % 1.23/1.48 (assume @p804 (forall @t290 (=> @t565 (=> @t1032 (tptp.hBOOL (tptp.hAPP @t1031 @t286)))))) % 1.23/1.48 (assume @p805 (forall @t692 (= (tptp.hBOOL (tptp.hAPP @t419 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t303 @t300))) @t309))) % 1.23/1.48 (assume @p806 (forall @t1000 (=> @t496 (= @t1033 (tptp.hBOOL (tptp.hAPP @t974 @t1001)))))) % 1.23/1.48 (assume @p807 (forall @t1000 (=> @t496 (= @t1033 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t995) @t408)))))) % 1.23/1.48 (assume @p808 (forall @t1000 (=> @t496 (= @t1034 (tptp.hBOOL (tptp.hAPP @t527 @t1001)))))) % 1.23/1.48 (assume @p809 (forall @t1000 (=> @t496 (= @t1034 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 @t995) @t408)))))) % 1.23/1.48 (assume @p810 (forall @t209 (=> (tptp.class_Rings_Oring__1 @t21) (= (tptp.c_Groups_Ominus__class_Ominus @t21 @t577 @t22) (tptp.hAPP (tptp.hAPP @t272 (tptp.hAPP @t196 @t22)) (tptp.c_Groups_Ominus__class_Ominus @t21 @t16 @t22)))))) % 1.23/1.48 (assume @p811 (forall @t38 (=> @t64 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 @t1006) @t63))))) % 1.23/1.48 (assume @p812 (forall @t143 (=> @t64 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t21 (tptp.c_Groups_Oabs__class_Oabs @t21 @t1037)) (tptp.hAPP (tptp.hAPP @t23 (tptp.c_Groups_Oabs__class_Oabs @t21 @t1036)) (tptp.c_Groups_Oabs__class_Oabs @t21 @t1035))))))) % 1.23/1.48 (assume @p813 (forall (@list @t1038 @t67 @t77 @t21) (=> @t90 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 (tptp.c_Groups_Oabs__class_Oabs @t21 (tptp.c_Groups_Ominus__class_Ominus @t21 @t77 @t67))) @t1038)) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t21 (tptp.c_Groups_Ominus__class_Ominus @t21 @t67 @t1038)) @t77)) (tptp.hBOOL (tptp.hAPP @t239 (tptp.hAPP @t107 @t1038)))))))) % 1.23/1.48 (assume @p814 (forall @t38 (=> @t204 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t968) (tptp.hAPP (tptp.hAPP @t11 @t255) @t969)))))) % 1.23/1.48 (assume @p815 (forall @t262 (=> @t565 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t260 @t763)) @t260)))) % 1.23/1.48 (assume @p816 (forall (@list @t119 @t260) (=> @t565 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t260 @t738)) @t260))))) % 1.23/1.48 (assume @p817 (forall @t1045 (= @t1044 (not (or (and @t1043 @t655) (exists @t1042 (and @t1041 (not @t1040)))))))) % 1.23/1.48 (assume @p818 (forall @t1045 (= @t1044 (and (=> @t1043 @t654) (forall @t1042 (=> @t1041 @t1040)))))) % 1.23/1.48 (assume @p819 (forall @t1048 (=> @t1014 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1047 @t286) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1046 @t988))))) % 1.23/1.48 (assume @p820 (forall @t1048 (=> @t1014 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t286 @t1047) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t337 @t1046))))) % 1.23/1.48 (assume @p821 (forall @t1054 (=> @t1026 (= @t1053 (= @t300 @t1050))))) % 1.23/1.48 (assume @p822 (forall (@list @t260 @t286 @t273 @t121 @t119) (=> @t321 (= @t1055 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t286 (tptp.hAPP (tptp.hAPP @t280 (tptp.hAPP (tptp.hAPP @t371 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t121 @t119)) @t273)) @t260)))))) % 1.23/1.48 (assume @p823 (forall @t1054 (=> @t1026 (= @t1056 (tptp.hBOOL (tptp.hAPP @t305 @t1050)))))) % 1.23/1.48 (assume @p824 (forall @t1059 (=> @t1058 (= @t1053 (= @t1057 @t303))))) % 1.23/1.48 (assume @p825 (forall (@list @t260 @t286 @t273 @t119 @t121) (=> (tptp.hBOOL (tptp.hAPP @t377 @t119)) (= @t1055 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t280 (tptp.hAPP (tptp.hAPP @t371 @t986) @t273)) @t286) @t260))))) % 1.23/1.48 (assume @p826 (forall @t1059 (=> @t1058 (= @t1056 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1057) @t303)))))) % 1.23/1.48 (assume @p827 (forall @t143 (=> @t204 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t21 @t1037)) (tptp.hAPP (tptp.hAPP @t11 (tptp.c_RealVector_Onorm__class_Onorm @t21 @t1036)) (tptp.c_RealVector_Onorm__class_Onorm @t21 @t1035))))))) % 1.23/1.48 (assume @p828 (forall (@list @t81 @t260 @t730 @t21) (=> @t474 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t730) @t260)) (= (tptp.hAPP @t734 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t718 @t730)) (tptp.hAPP (tptp.hAPP @t272 (tptp.hAPP @t734 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t260 @t730))) @t81)))))) % 1.23/1.48 (assume @p829 (forall @t262 (=> @t565 (= @t260 @t1060)))) % 1.23/1.48 (assume @p830 (forall @t262 (=> @t565 (= @t1060 @t260)))) % 1.23/1.48 (assume @p831 (forall @t370 (and (=> @t416 (= @t288 @t260)) (=> @t1061 (= @t288 (tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t280 @t966) @t260))))))) % 1.23/1.48 (assume @p832 (forall @t1059 (=> @t1058 (= @t1062 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1057) @t303)))))) % 1.23/1.48 (assume @p833 (forall @t1054 (=> @t1026 (= @t1062 (tptp.hBOOL (tptp.hAPP @t308 @t1050)))))) % 1.23/1.48 (assume @p834 (forall @t370 (and (=> @t416 (= @t418 @t71)) (=> @t1061 (= @t418 (tptp.hAPP @t291 (tptp.hAPP (tptp.hAPP @t371 @t966) @t260))))))) % 1.23/1.48 (assume @p835 (forall (@list @t730 @t286) (and (=> @t416 (= @t1064 @t417)) (=> @t1061 (= @t1064 (tptp.hAPP @t731 (tptp.hAPP @t1063 @t966))))))) % 1.23/1.48 (assume @p836 (forall @t91 (=> (tptp.class_Rings_Ocomm__ring__1 @t21) (= (tptp.c_Groups_Ominus__class_Ominus @t21 (tptp.hAPP @t724 @t836) (tptp.hAPP @t734 @t836)) (tptp.hAPP @t1012 @t197))))) % 1.23/1.48 (assume @p837 (forall (@list @t286 @t260 @t21) (=> @t821 (and (=> @t566 (= @t1066 @t22)) (=> @t567 (= @t1066 (tptp.hAPP @t532 (tptp.hAPP @t1065 @t965)))))))) % 1.23/1.48 (assume @p838 (forall @t213 (=> @t915 (exists @t15 (and (tptp.hBOOL (tptp.hAPP (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 @t13 @t417))) @t195)) (tptp.hBOOL (tptp.hAPP @t913 @t914))))))) % 1.23/1.48 (assume @p839 (forall (@list @t580 @t1067 @t21 @t214) (=> (and @t715 @t230) (=> (forall @t15 (=> @t1069 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t214 (tptp.c_Groups_Ominus__class_Ominus @t214 @t1068 @t582))) @t10)))) (forall @t15 (=> @t1069 (tptp.hBOOL (tptp.hAPP @t717 (tptp.hAPP @t18 (tptp.c_RealVector_Onorm__class_Onorm @t214 @t1068)))))))))) % 1.23/1.48 (assume @p840 (forall @t168 (= @t167 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t77 @t162)) @t7))))) % 1.23/1.48 (assume @p841 (forall @t259 (= (tptp.hAPP tptp.c_Complex_OIm @t1071) @t1070))) % 1.23/1.48 (assume @p842 (forall @t259 (= (tptp.hAPP tptp.c_Complex_ORe @t1071) @t1072))) % 1.23/1.48 (assume @p843 (forall @t846 (= (tptp.hAPP @t840 @t1073) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t842 @t841)))) % 1.23/1.48 (assume @p844 (forall @t487 (= (tptp.hAPP (tptp.hAPP @t798 @t1073) @t74) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t850 @t848)))) % 1.23/1.48 (assume @p845 (forall @t616 (= (tptp.hBOOL (tptp.hAPP @t1074 @t614)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t310 @t614)) @t801))))) % 1.23/1.48 (assume @p846 (forall @t38 (=> @t204 (tptp.hBOOL (tptp.hAPP @t973 (tptp.c_RealVector_Onorm__class_Onorm @t21 @t32)))))) % 1.23/1.48 (assume @p847 (forall @t259 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1071)) (tptp.hAPP (tptp.hAPP @t11 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t1072)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t1070)))))) % 1.23/1.48 (assume @p848 (forall @t864 (= (tptp.hBOOL (tptp.hAPP @t866 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t397 @t838))) @t863))) % 1.23/1.48 (assume @p849 (forall @t290 (=> @t376 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t978) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t701 @t680))))) % 1.23/1.48 (assume @p850 (forall @t259 (= @t1076 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t946 @t942)))) % 1.23/1.48 (assume @p851 (forall @t259 (= @t1076 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.hAPP @t1078 @t944) (tptp.hAPP @t1077 @t940))))) % 1.23/1.48 (assume @p852 (forall (@list @t30 @t29) (tptp.hBOOL (tptp.hAPP (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.hAPP (tptp.hAPP @t75 @t29) @t30)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t29))) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t30))))) % 1.23/1.48 (assume @p853 (forall @t259 (= (tptp.c_Transcendental_Ocos @t947) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1080 @t1079)))) % 1.23/1.48 (assume @p854 (forall @t259 (= @t1081 (tptp.hAPP (tptp.hAPP @t11 @t1080) @t1079)))) % 1.23/1.48 (assume @p855 (forall @t259 (= @t1081 (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t1078 @t940)) (tptp.hAPP @t1077 @t944))))) % 1.23/1.48 (assume @p856 (forall @t1084 (=> @t1083 (= (tptp.c_RComplete_Onatfloor @t1082) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t677 @t30))))) % 1.23/1.48 (assume @p857 (forall @t20 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t16 @t10)) @t688)))) % 1.23/1.48 (assume @p858 (forall @t1084 (=> @t1083 (= (tptp.c_RComplete_Onatceiling @t1082) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t667 @t30))))) % 1.23/1.48 (assume @p859 (forall @t259 (= (tptp.hAPP tptp.c_Complex_ORe @t612) @t1085))) % 1.23/1.48 (assume @p860 (forall (@list @t72 @t16 @t138) (=> @t1087 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t16 @t1086)) @t72))))) % 1.23/1.48 (assume @p861 (forall (@list @t16 @t72 @t138) (=> @t1087 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t72) (tptp.hAPP @t889 @t1086)))))) % 1.23/1.48 (assume @p862 (forall @t482 (=> (= @t73 @t10) (or (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t1088 @t254))) @t10)) (tptp.hBOOL (tptp.hAPP (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 @t72 @t254))) @t10)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP @t1088 tptp.c_Complex_Oii))) @t10)) (tptp.hBOOL (tptp.hAPP (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 @t72 tptp.c_Complex_Oii))) @t10)))))) % 1.23/1.48 (assume @p863 (forall @t934 (and @t1091 (=> (not @t1090) (= @t1089 @t801))))) % 1.23/1.48 (assume @p864 (= (tptp.hAPP tptp.c_Complex_ORe tptp.c_Complex_Oii) @t7)) % 1.23/1.48 (assume @p865 (not (= tptp.c_Complex_Oii @t253))) % 1.23/1.48 (assume @p866 (not (= tptp.c_Complex_Oii @t254))) % 1.23/1.48 (assume @p867 (= (tptp.hAPP tptp.c_Complex_OIm tptp.c_Complex_Oii) @t10)) % 1.23/1.48 (assume @p868 (forall @t259 (=> @t908 (=> @t909 (tptp.hBOOL (tptp.hAPP @t837 @t1089)))))) % 1.23/1.48 (assume @p869 (forall @t934 @t1091)) % 1.23/1.48 (assume @p870 (forall (@list @t118 @t286) (=> @t1032 (=> @t852 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t1092 @t286) @t118) (tptp.hAPP @t1092 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t286 @t763))))))) % 1.23/1.48 (assume @p871 (forall @t534 (=> @t1007 (= (tptp.c_Groups_Ominus__class_Ominus @t21 @t45 @t139) (tptp.hAPP @t976 (tptp.c_Groups_Ominus__class_Ominus @t21 @t44 @t138)))))) % 1.23/1.48 (assume @p872 (forall (@list @t118 @t16) (=> (tptp.hBOOL (tptp.hAPP @t802 @t16)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t838) @t118)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t16 @t118)) @t16)))))) % 1.23/1.48 (assume @p873 (forall (@list @t29 @t30 @t44) (=> (tptp.hBOOL (tptp.hAPP @t802 @t44)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t30 (tptp.hAPP @t900 @t44)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1093 @t44))))) % 1.23/1.48 (assume @p874 (forall @t134 (=> @t1099 (and (=> @t1096 (= @t1095 @t25)) @t1098)))) % 1.23/1.48 (assume @p875 (forall @t244 (=> @t1099 (=> @t448 (= (tptp.c_Divides_Odiv__class_Odiv @t21 @t346 @t29) @t30))))) % 1.23/1.48 (assume @p876 (forall @t244 (=> @t1099 (=> @t448 (= (tptp.c_Divides_Odiv__class_Odiv @t21 @t344 @t29) @t30))))) % 1.23/1.48 (assume @p877 (forall @t134 (=> @t1099 (=> @t1097 (= (tptp.c_Divides_Odiv__class_Odiv @t21 @t404 @t387) @t1094))))) % 1.23/1.48 (assume @p878 (forall @t134 (=> @t1099 @t1098))) % 1.23/1.48 (assume @p879 (forall @t66 (=> @t1099 (=> @t449 (= (tptp.c_Divides_Odiv__class_Odiv @t21 @t30 @t30) @t22))))) % 1.23/1.48 (assume @p880 (forall (@list @t29) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t801 @t29) @t801))) % 1.23/1.48 (assume @p881 (forall @t259 (=> @t908 (=> @t909 (tptp.hBOOL (tptp.hAPP @t837 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t16 @t81))))))) % 1.23/1.48 (assume @p882 (forall @t66 (=> @t1099 (= (tptp.c_Divides_Odiv__class_Odiv @t21 @t30 @t25) @t25)))) % 1.23/1.48 (assume @p883 (forall @t66 (=> @t1099 (= (tptp.c_Divides_Odiv__class_Odiv @t21 @t25 @t30) @t25)))) % 1.23/1.48 (assume @p884 (forall @t676 (=> @t1102 (=> @t1100 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1093) @t801)))))) % 1.23/1.48 (assume @p885 (forall @t1106 (=> @t1105 (= @t1104 (tptp.hBOOL (tptp.hAPP @t802 @t67)))))) % 1.23/1.48 (assume @p886 (forall @t1106 (=> @t1107 (= @t1104 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t67) @t801)))))) % 1.23/1.48 (assume @p887 (forall @t921 (=> (not (= @t30 @t801)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t30 @t30) @t838)))) % 1.23/1.48 (assume @p888 (forall @t66 (=> @t1099 (= (tptp.c_Divides_Odiv__class_Odiv @t21 @t30 @t22) @t30)))) % 1.23/1.48 (assume @p889 (forall @t1112 (=> @t1111 (=> @t1109 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1108) @t1093)))))) % 1.23/1.48 (assume @p890 (forall @t1112 (=> @t1111 (=> @t1100 (tptp.hBOOL (tptp.hAPP @t1113 @t1108)))))) % 1.23/1.48 (assume @p891 (forall @t676 (=> @t1115 (=> (tptp.hBOOL (tptp.hAPP @t905 @t30)) @t1114)))) % 1.23/1.48 (assume @p892 (forall @t1117 (=> @t1102 (=> @t879 (=> @t896 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1116) @t1093))))))) % 1.23/1.48 (assume @p893 (forall @t676 (=> @t1115 (=> @t1100 @t1118)))) % 1.23/1.48 (assume @p894 (forall @t1106 (=> @t1105 (= @t1119 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t67) @t801)))))) % 1.23/1.48 (assume @p895 (forall @t676 (=> @t1120 (=> (tptp.hBOOL (tptp.hAPP @t1101 @t29)) @t1114)))) % 1.23/1.48 (assume @p896 (forall @t676 (=> @t1120 (=> @t1109 @t1118)))) % 1.23/1.48 (assume @p897 (forall @t1117 (=> @t1120 (=> @t879 (=> @t896 (tptp.hBOOL (tptp.hAPP @t1113 @t1116))))))) % 1.23/1.48 (assume @p898 (forall @t1122 (=> @t1121 (= (tptp.hBOOL (tptp.hAPP @t802 @t1103)) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t101) @t67)) @t1107))))) % 1.23/1.48 (assume @p899 (forall (@list @t1016 @t310) (=> @t1124 (= (tptp.hBOOL (tptp.hAPP @t802 @t1123)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t310) @t1016)))))) % 1.23/1.48 (assume @p900 (forall @t1106 (=> @t1107 (= @t1119 @t1121)))) % 1.23/1.48 (assume @p901 (forall (@list @t310 @t1016) (= (= @t1123 @t801) (or @t1125 (and (tptp.hBOOL (tptp.hAPP @t837 @t1016)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1016) @t310))) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1016) @t801)) (tptp.hBOOL (tptp.hAPP @t1074 @t1016))))))) % 1.23/1.48 (assume @p902 (forall @t98 (=> @t1099 (=> @t448 (= (tptp.c_Divides_Odiv__class_Odiv @t21 (tptp.hAPP @t31 @t387) @t29) @t1126))))) % 1.23/1.48 (assume @p903 (forall @t98 (=> @t1099 (=> @t448 (= (tptp.c_Divides_Odiv__class_Odiv @t21 (tptp.hAPP @t31 @t502) @t29) @t1126))))) % 1.23/1.48 (assume @p904 (forall @t244 (=> @t1099 (=> @t448 (= (tptp.c_Divides_Odiv__class_Odiv @t21 @t32 @t29) @t1127))))) % 1.23/1.48 (assume @p905 (forall @t244 (=> @t1099 (=> @t448 (= (tptp.c_Divides_Odiv__class_Odiv @t21 @t96 @t29) @t1127))))) % 1.23/1.48 (assume @p906 (forall @t1129 (= (tptp.hBOOL (tptp.hAPP @t363 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t303 @t310))) (and (=> @t1125 (tptp.hBOOL (tptp.hAPP @t363 @t801))) (=> @t1124 (forall @t653 (=> (exists @t766 (and (tptp.hBOOL (tptp.hAPP @t837 @t764)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t764) @t310)) @t1128)) @t652))) (=> (tptp.hBOOL (tptp.hAPP @t1074 @t801)) (forall @t653 (=> (exists @t766 (and (tptp.hBOOL (tptp.hAPP @t1074 @t764)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t764) @t801)) @t1128)) @t652))))))) % 1.23/1.48 (assume @p907 (forall (@list @t1132 @t81 @t1130 @t1131) (=> (= @t1131 (tptp.hAPP (tptp.hAPP @t843 (tptp.hAPP (tptp.hAPP @t798 @t1130) @t81)) @t1132)) (=> (and (=> @t1133 (and (tptp.hBOOL (tptp.hAPP @t837 @t1132)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1132) @t1130)))) (=> (not @t1133) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1130) @t1132)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1132) @t801))))) (=> (not (= @t1130 @t801)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1131 @t1130) @t81)))))) % 1.23/1.48 (assume @p908 (forall @t259 (= @t612 (tptp.c_Complex_Ocomplex_OComplex @t1085 @t610)))) % 1.23/1.48 (assume @p909 (forall (@list @t29 @t16 @t30) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t30) @t16)) (=> (tptp.hBOOL (tptp.hAPP @t536 @t29)) (exists @t1042 (and (tptp.hBOOL (tptp.hAPP @t19 @t1039)) (forall @t917 (=> (tptp.hBOOL (tptp.hAPP (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 @t916))) @t1039)) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t30) @t916)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t916) @t29))))))))))) % 1.23/1.48 (assume @p910 (forall @t1030 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t30 (tptp.hAPP (tptp.hAPP @t371 @t29) @t44)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t30 @t29) @t44)))) % 1.23/1.48 (assume @p911 (forall @t370 @t1135)) % 1.23/1.48 (assume @p912 (forall @t393 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t286 @t763) @t286))) % 1.23/1.48 (assume @p913 (forall @t370 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1134) @t286)))) % 1.23/1.48 (assume @p914 (forall @t598 (=> @t341 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t286 @t118)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t260 @t118)))))) % 1.23/1.48 (assume @p915 (forall @t596 (and (=> @t1138 (= @t1136 @t71)) (=> (not @t1138) @t1137)))) % 1.23/1.48 (assume @p916 (forall @t290 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t417) @t260)) (=> @t1032 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1134) @t286)))))) % 1.23/1.48 (assume @p917 (forall @t290 (=> @t565 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t418 @t260) @t286)))) % 1.23/1.48 (assume @p918 (forall @t290 (=> @t565 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t602 @t260) @t286)))) % 1.23/1.48 (assume @p919 (forall @t596 (=> @t420 @t1137))) % 1.23/1.48 (assume @p920 (forall @t598 (=> @t1032 (=> @t341 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t118 @t260)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t118 @t286))))))) % 1.23/1.48 (assume @p921 (forall @t1141 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t1140 @t1139) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t30 @t44) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t29 @t138))))) % 1.23/1.48 (assume @p922 (forall @t482 (= (tptp.c_Complex_Ocomplex_OComplex @t1143 @t1142) @t72))) % 1.23/1.48 (assume @p923 (forall (@list @t1144 @t1146 @t1145 @t1147) (= (= @t1148 (tptp.c_Complex_Ocomplex_OComplex @t1146 @t1144)) (and (= @t1147 @t1146) (= @t1145 @t1144))))) % 1.23/1.48 (assume @p924 (forall @t259 (= (tptp.hAPP tptp.c_Complex_OIm @t1149) @t81))) % 1.23/1.48 (assume @p925 (forall @t259 (= (tptp.hAPP tptp.c_Complex_ORe @t1149) @t16))) % 1.23/1.48 (assume @p926 (forall @t1141 (= (tptp.hAPP (tptp.hAPP @t75 @t1140) @t1139) (tptp.c_Complex_Ocomplex_OComplex (tptp.hAPP @t922 @t44) (tptp.hAPP (tptp.hAPP @t11 @t29) @t138))))) % 1.23/1.48 (assume @p927 (forall @t1122 (= (= @t1151 @t253) (and (= @t67 @t7) @t1150)))) % 1.23/1.48 (assume @p928 (= @t253 (tptp.c_Complex_Ocomplex_OComplex @t7 @t7))) % 1.23/1.48 (assume @p929 (forall @t168 (= (= (tptp.c_Complex_Ocomplex_OComplex @t77 @t162) tptp.c_Complex_Oii) (and @t546 (= @t162 @t10))))) % 1.23/1.48 (assume @p930 (= tptp.c_Complex_Oii (tptp.c_Complex_Ocomplex_OComplex @t7 @t10))) % 1.23/1.48 (assume @p931 (forall @t1122 (= (= @t1151 @t254) (and (= @t67 @t10) @t1150)))) % 1.23/1.48 (assume @p932 (= @t254 (tptp.c_Complex_Ocomplex_OComplex @t10 @t7))) % 1.23/1.48 (assume @p933 (forall @t921 (= @t931 @t1152))) % 1.23/1.48 (assume @p934 (forall @t290 (=> @t565 @t1154))) % 1.23/1.48 (assume @p935 (forall @t290 (=> @t565 (and @t1135 @t1154)))) % 1.23/1.48 (assume @p936 (forall @t1129 (= (tptp.hBOOL (tptp.hAPP @t363 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t303 @t310))) (and (=> @t421 @t654) (=> (not @t421) (forall (@list @t651 @t764) (=> (tptp.hBOOL (tptp.hAPP @t765 @t310)) (=> (= @t303 (tptp.hAPP (tptp.hAPP @t280 (tptp.hAPP @t428 @t651)) @t764)) @t652)))))))) % 1.23/1.48 (assume @p937 (forall @t1141 (= (tptp.hAPP (tptp.hAPP @t611 @t1140) @t1139) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.hAPP @t684 @t44) (tptp.hAPP @t1155 @t138)) (tptp.hAPP (tptp.hAPP @t11 (tptp.hAPP @t684 @t138)) (tptp.hAPP @t1155 @t44)))))) % 1.23/1.48 (assume @p938 (forall @t921 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1152) @t10))) % 1.23/1.48 (assume @p939 (forall @t259 (= @t258 (tptp.c_Complex_Ocomplex_OComplex @t613 @t257)))) % 1.23/1.48 (assume @p940 (forall (@list @t303 @t300 @t363) (= (tptp.hBOOL (tptp.hAPP @t363 @t1157)) (or (and @t437 @t654) (exists (@list @t1156) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t423 @t1156)) @t300)) (tptp.hBOOL (tptp.hAPP @t308 (tptp.hAPP @t423 (tptp.c_Nat_OSuc @t1156)))) (tptp.hBOOL (tptp.hAPP @t363 @t1156)))))))) % 1.23/1.48 (assume @p941 (forall (@list @t300 @t1158 @t303) (=> @t440 (= (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t423 @t1158)) @t300)) (tptp.hBOOL (tptp.hAPP @t308 (tptp.hAPP @t423 (tptp.c_Nat_OSuc @t1158))))) (= @t1158 @t1157))))) % 1.23/1.48 (assume @p942 (forall @t290 (=> @t565 (=> @t376 @t1153)))) % 1.23/1.48 (assume @p943 (forall @t1162 (= (tptp.c_Complex_Ocomplex_Ocomplex__size @t1161) @t71))) % 1.23/1.48 (assume @p944 (forall @t964 (=> @t538 @t1163))) % 1.23/1.48 (assume @p945 (forall @t964 (=> (not (= @t81 @t7)) @t1163))) % 1.23/1.48 (assume @p946 (forall @t964 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t81) @t7)) @t1163))) % 1.23/1.48 (assume @p947 (forall @t1162 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Complex_Ocomplex @t1161) @t71))) % 1.23/1.48 (assume @p948 (forall @t1166 (= (tptp.c_Complex_Ocomplex_Ocomplex__rec @t21 @t1164 @t1148) @t1165))) % 1.23/1.48 (assume @p949 (forall @t1166 (= (tptp.c_Complex_Ocomplex_Ocomplex__case @t21 @t1164 @t1148) @t1165))) % 1.23/1.48 (assume @p950 (forall @t259 (=> @t959 (=> (tptp.hBOOL (tptp.hAPP @t419 @t81)) (= (tptp.c_RComplete_Onatfloor (tptp.hAPP @t1168 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t81))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t677 @t81)))))) % 1.23/1.48 (assume @p951 (forall @t20 (= @t572 (tptp.hAPP @t1168 @t17)))) % 1.23/1.48 (assume @p952 (forall @t460 (=> @t1172 (= (tptp.hAPP (tptp.hAPP @t1169 @t197) @t456) (tptp.hAPP (tptp.hAPP @t23 @t1171) @t1170))))) % 1.23/1.48 (assume @p953 (forall @t50 (=> @t1176 (= (tptp.hAPP (tptp.hAPP @t1169 @t32) @t44) (tptp.hAPP (tptp.hAPP @t23 @t1175) @t1173))))) % 1.23/1.48 (assume @p954 (forall @t66 (=> @t1176 (= (tptp.hAPP @t1174 @t22) @t30)))) % 1.23/1.48 (assume @p955 (forall @t266 (=> @t1176 (=> (not @t450) (= (= (tptp.hAPP (tptp.hAPP @t1169 @t67) @t101) @t22) @t412))))) % 1.23/1.48 (assume @p956 (forall @t66 (=> @t1176 @t1178))) % 1.23/1.48 (assume @p957 (forall @t66 (=> @t1179 (and (=> @t445 (= @t1177 @t25)) @t1178)))) % 1.23/1.48 (assume @p958 (forall (@list @t260 @t30 @t29 @t21) (=> @t1182 (=> @t448 @t1181)))) % 1.23/1.48 (assume @p959 (forall @t787 (=> @t1184 (= (tptp.hAPP @t1183 @t782) (tptp.hAPP (tptp.hAPP @t722 (tptp.hAPP @t1183 @t30)) @t260))))) % 1.23/1.48 (assume @p960 (forall @t624 (=> @t1172 (=> @t621 (tptp.c_SEQ_Oconvergent @t21 (tptp.c_COMBC tptp.tc_Nat_Onat @t21 @t21 (tptp.c_COMBB @t21 @t622 tptp.tc_Nat_Onat @t1169 @t580) @t162)))))) % 1.23/1.48 (assume @p961 (forall @t38 (=> (and @t1184 @t1172) @t1185))) % 1.23/1.48 (assume @p962 (forall @t134 (=> @t1176 (=> @t1097 (=> (= @t404 @t29) (= @t30 @t1173)))))) % 1.23/1.48 (assume @p963 (forall @t177 (=> @t1176 (=> @t1097 (=> (= @t29 @t404) (= @t1173 @t30)))))) % 1.23/1.48 (assume @p964 (forall (@list @t67 @t101 @t100 @t21) (=> @t1176 (=> @t1187 (= (= @t1186 @t67) (= @t101 @t410)))))) % 1.23/1.48 (assume @p965 (forall @t147 (=> @t1176 (=> @t1187 (= (= @t67 @t1186) (= @t410 @t101)))))) % 1.23/1.48 (assume @p966 (forall @t244 (=> @t1172 (=> @t448 @t1185)))) % 1.23/1.48 (assume @p967 (forall @t454 (=> @t1172 (= (tptp.hAPP @t1188 @t81) @t25)))) % 1.23/1.48 (assume @p968 (forall @t66 (=> @t1176 (= (tptp.hAPP @t1188 @t30) @t25)))) % 1.23/1.48 (assume @p969 (forall @t66 (=> @t1179 (= (tptp.hAPP @t1174 @t25) @t25)))) % 1.23/1.48 (assume @p970 (forall @t50 (=> @t1176 (= (tptp.hAPP @t345 @t1173) (tptp.hAPP (tptp.hAPP @t1169 @t346) @t44))))) % 1.23/1.48 (assume @p971 (forall @t920 (= (tptp.hAPP (tptp.hAPP @t1167 (tptp.hAPP @t443 @t30)) (tptp.hAPP @t443 @t195)) (tptp.hAPP (tptp.hAPP @t1167 @t30) @t195)))) % 1.23/1.48 (assume @p972 (forall @t785 (=> @t1184 @t1181))) % 1.23/1.48 (assume @p973 (forall @t168 (= (tptp.hBOOL (tptp.hAPP @t8 (tptp.hAPP (tptp.hAPP @t1167 @t77) @t162))) (and (or (tptp.hBOOL (tptp.hAPP @t166 @t7)) (tptp.hBOOL (tptp.hAPP @t8 @t162))) (or @t695 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t162) @t7))))))) % 1.23/1.48 (assume @p974 (forall @t482 (= (tptp.hAPP tptp.c_Complex_OIm @t1189) (tptp.hAPP (tptp.hAPP @t1167 @t1142) @t73)))) % 1.23/1.48 (assume @p975 (forall @t482 (= (tptp.hAPP tptp.c_Complex_ORe @t1189) (tptp.hAPP (tptp.hAPP @t1167 @t1143) @t73)))) % 1.23/1.48 (assume @p976 (forall @t460 (=> @t1172 (= (tptp.hAPP (tptp.hAPP @t1169 @t1011) @t456) (tptp.c_Groups_Ominus__class_Ominus @t21 @t1171 @t1170))))) % 1.23/1.48 (assume @p977 (forall @t50 (=> @t1176 (= (tptp.hAPP (tptp.hAPP @t1169 @t967) @t44) (tptp.c_Groups_Ominus__class_Ominus @t21 @t1175 @t1173))))) % 1.23/1.48 (assume @p978 (forall (@list @t1190 @t138 @t44 @t29 @t30 @t21) (=> (tptp.class_RealVector_Oreal__field @t21) (= (tptp.hAPP (tptp.hAPP @t1169 (tptp.c_Groups_Ominus__class_Ominus @t21 @t346 @t533)) @t1190) (tptp.hAPP (tptp.hAPP @t23 (tptp.hAPP @t345 (tptp.hAPP (tptp.hAPP @t1169 @t1035) @t1190))) (tptp.hAPP (tptp.hAPP @t272 (tptp.hAPP (tptp.hAPP @t1169 @t1036) @t1190)) @t138)))))) % 1.23/1.48 (assume @p979 (forall (@list @t101 @t67 @t2) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1191 (tptp.hAPP @t1193 @t67)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1192 (tptp.hAPP @t1193 @t101))))) % 1.23/1.48 (assume @p980 (forall @t683 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1195) @t1194)))) % 1.23/1.48 (assume @p981 (forall (@list @t286 @t260 @t30 @t21) (=> @t1182 (=> @t449 (=> @t376 (= (tptp.hAPP @t781 @t978) (tptp.hAPP (tptp.hAPP @t1169 @t793) @t782))))))) % 1.23/1.48 (assume @p982 (forall @t259 (=> @t539 (=> @t538 (= (tptp.c_Transcendental_Oln (tptp.hAPP @t1168 @t81)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t938 @t963)))))) % 1.23/1.48 (assume @p983 (forall @t683 (tptp.hBOOL (tptp.hAPP @t8 @t1196)))) % 1.23/1.48 (assume @p984 (forall @t683 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1196) @t10)))) % 1.23/1.48 (assume @p985 (forall @t50 (=> (tptp.class_Fields_Olinordered__field__inverse__zero @t21) (=> @t130 (=> @t505 @t1198))))) % 1.23/1.48 (assume @p986 (forall @t98 (=> (tptp.class_Fields_Olinordered__field @t21) (=> @t175 (=> @t176 @t1198))))) % 1.23/1.48 (assume @p987 (forall @t676 (= (tptp.hAPP (tptp.hAPP (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_Complex_Ocomplex) @t931) @t935) (tptp.c_Complex_Ocis (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t30 @t29))))) % 1.23/1.48 (assume @p988 (forall @t1202 (=> @t1201 (tptp.class_Rings_Oidom @t1200)))) % 1.23/1.48 (assume @p989 (forall @t1202 (=> @t1203 (tptp.class_Groups_Ocancel__comm__monoid__add @t1200)))) % 1.23/1.48 (assume @p990 (forall @t1202 (=> @t1204 (tptp.class_Rings_Ocomm__semiring__0 @t1200)))) % 1.23/1.48 (assume @p991 (forall @t1202 (=> @t1205 (tptp.class_Rings_Ocomm__ring @t1200)))) % 1.23/1.48 (assume @p992 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p993 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p994 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p995 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p996 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p997 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p998 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p999 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1000 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1001 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1002 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1003 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1004 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1005 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1006 (forall @t1208 (=> (tptp.class_Orderings_Opreorder @t1199) (tptp.class_Orderings_Opreorder @t1207)))) % 1.23/1.48 (assume @p1007 (forall @t1208 (=> (tptp.class_Orderings_Oorder @t1199) (tptp.class_Orderings_Oorder @t1207)))) % 1.23/1.48 (assume @p1008 (forall @t1208 (=> (tptp.class_Orderings_Oord @t1199) (tptp.class_Orderings_Oord @t1207)))) % 1.23/1.48 (assume @p1009 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1010 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1011 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1012 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1013 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1014 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1015 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1016 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1017 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1018 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1019 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1020 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1021 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1022 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1023 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1024 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1025 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1026 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1027 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1028 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1029 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1030 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1031 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1032 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1033 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1034 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1035 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1036 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1037 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1038 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1039 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1040 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1041 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1042 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1043 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1044 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1045 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1046 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1047 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1048 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1049 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1050 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1051 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1052 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1053 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1054 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1055 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1056 (tptp.class_Groups_Osgn__if tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1057 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1058 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1059 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1060 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1061 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.23/1.48 (assume @p1062 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1063 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1064 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1065 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1066 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1067 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1068 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1069 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1070 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1071 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1072 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1073 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1074 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1075 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1076 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1077 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1078 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1079 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1080 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1081 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1082 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1083 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1084 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1085 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1086 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1087 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1088 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1089 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1090 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1091 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1092 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1093 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1094 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1095 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1096 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.23/1.48 (assume @p1097 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.23/1.48 (assume @p1098 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.23/1.48 (assume @p1099 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.23/1.48 (assume @p1100 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1101 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1102 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1103 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1104 (tptp.class_Fields_Olinordered__field__inverse__zero tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1105 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1106 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1107 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1108 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1109 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1110 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1111 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1112 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1113 @t1209) % 1.23/1.48 (assume @p1114 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1115 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1116 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1117 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1118 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1119 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1120 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1121 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1122 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1123 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1124 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1125 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1126 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1127 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1128 @t1210) % 1.23/1.48 (assume @p1129 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1130 (tptp.class_RealVector_Ometric__space tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1131 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1132 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1133 (tptp.class_Fields_Olinordered__field tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1134 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1135 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1136 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1137 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1138 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1139 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1140 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1141 (tptp.class_RealVector_Oreal__field tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1142 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1143 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1144 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1145 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1146 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1147 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1148 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1149 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1150 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1151 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1152 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1153 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1154 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1155 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1156 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1157 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1158 (tptp.class_Groups_Osgn__if tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1159 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1160 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1161 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1162 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1163 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1164 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.23/1.48 (assume @p1165 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1166 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1167 (tptp.class_Rings_Odivision__ring__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1168 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1169 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1170 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1171 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1172 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1173 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1174 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1175 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1176 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1177 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1178 (tptp.class_RealVector_Ometric__space tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1179 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1180 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1181 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1182 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1183 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1184 (tptp.class_RealVector_Oreal__field tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1185 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1186 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1187 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1188 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1189 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1190 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1191 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1192 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1193 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1194 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1195 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1196 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1197 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1198 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1199 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1200 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1201 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.23/1.48 (assume @p1202 (forall @t1202 (=> @t1201 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1200)))) % 1.23/1.48 (assume @p1203 (forall @t1202 (=> @t1211 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1200)))) % 1.23/1.48 (assume @p1204 (forall @t1202 (=> @t1211 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1200)))) % 1.23/1.48 (assume @p1205 (forall @t1202 (=> @t1211 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1200)))) % 1.23/1.48 (assume @p1206 (forall @t1202 (=> @t1211 (tptp.class_Rings_Olinordered__semiring__1__strict @t1200)))) % 1.23/1.48 (assume @p1207 (forall @t1202 (=> @t1211 (tptp.class_Rings_Olinordered__semiring__strict @t1200)))) % 1.23/1.48 (assume @p1208 (forall @t1202 (=> @t1211 (tptp.class_Groups_Oordered__ab__semigroup__add @t1200)))) % 1.23/1.48 (assume @p1209 (forall @t1202 (=> @t1211 (tptp.class_Groups_Oordered__ab__group__add__abs @t1200)))) % 1.23/1.48 (assume @p1210 (forall @t1202 (=> @t1211 (tptp.class_Groups_Oordered__comm__monoid__add @t1200)))) % 1.23/1.48 (assume @p1211 (forall @t1202 (=> @t1211 (tptp.class_Groups_Olinordered__ab__group__add @t1200)))) % 1.23/1.48 (assume @p1212 (forall @t1202 (=> @t1203 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1200)))) % 1.23/1.48 (assume @p1213 (forall @t1202 (=> @t1201 (tptp.class_Rings_Oring__1__no__zero__divisors @t1200)))) % 1.23/1.48 (assume @p1214 (forall @t1202 (=> @t1211 (tptp.class_Rings_Oordered__cancel__semiring @t1200)))) % 1.23/1.48 (assume @p1215 (forall @t1202 (=> @t1211 (tptp.class_Rings_Olinordered__ring__strict @t1200)))) % 1.23/1.48 (assume @p1216 (forall @t1202 (=> @t1201 (tptp.class_Rings_Oring__no__zero__divisors @t1200)))) % 1.23/1.48 (assume @p1217 (forall @t1202 (=> @t1211 (tptp.class_Rings_Oordered__comm__semiring @t1200)))) % 1.23/1.48 (assume @p1218 (forall @t1202 (=> @t1211 (tptp.class_Rings_Olinordered__semiring__1 @t1200)))) % 1.23/1.48 (assume @p1219 (forall @t1202 (=> @t1211 (tptp.class_Groups_Oordered__ab__group__add @t1200)))) % 1.23/1.48 (assume @p1220 (forall @t1202 (=> @t1203 (tptp.class_Groups_Ocancel__semigroup__add @t1200)))) % 1.23/1.48 (assume @p1221 (forall @t1202 (=> @t1211 (tptp.class_Rings_Olinordered__semiring @t1200)))) % 1.23/1.48 (assume @p1222 (forall @t1202 (=> @t1211 (tptp.class_Rings_Olinordered__semidom @t1200)))) % 1.23/1.48 (assume @p1223 (forall @t1202 (=> @t1204 (tptp.class_Groups_Oab__semigroup__mult @t1200)))) % 1.23/1.48 (assume @p1224 (forall @t1202 (=> @t1212 (tptp.class_Groups_Ocomm__monoid__mult @t1200)))) % 1.23/1.48 (assume @p1225 (forall @t1202 (=> @t1213 (tptp.class_Groups_Oab__semigroup__add @t1200)))) % 1.23/1.48 (assume @p1226 (forall @t1202 (=> @t1211 (tptp.class_Rings_Oordered__semiring @t1200)))) % 1.23/1.48 (assume @p1227 (forall @t1202 (=> @t1211 (tptp.class_Rings_Oordered__ring__abs @t1200)))) % 1.23/1.48 (assume @p1228 (forall @t1202 (=> @t1201 (tptp.class_Rings_Ono__zero__divisors @t1200)))) % 1.23/1.48 (assume @p1229 (forall @t1202 (=> @t1213 (tptp.class_Groups_Ocomm__monoid__add @t1200)))) % 1.23/1.48 (assume @p1230 (forall @t1202 (=> @t1211 (tptp.class_Rings_Olinordered__ring @t1200)))) % 1.23/1.48 (assume @p1231 (forall @t1202 (=> @t1211 (tptp.class_Rings_Olinordered__idom @t1200)))) % 1.23/1.48 (assume @p1232 (forall @t1202 (=> @t1212 (tptp.class_Rings_Ocomm__semiring__1 @t1200)))) % 1.23/1.48 (assume @p1233 (forall @t1202 (=> (tptp.class_Fields_Ofield @t1199) (tptp.class_Divides_Osemiring__div @t1200)))) % 1.23/1.48 (assume @p1234 (forall @t1202 (=> @t1204 (tptp.class_Rings_Ocomm__semiring @t1200)))) % 1.23/1.48 (assume @p1235 (forall @t1202 (=> @t1214 (tptp.class_Groups_Oab__group__add @t1200)))) % 1.23/1.48 (assume @p1236 (forall @t1202 (=> @t1212 (tptp.class_Rings_Ozero__neq__one @t1200)))) % 1.23/1.48 (assume @p1237 (forall @t1202 (=> @t1211 (tptp.class_Rings_Oordered__ring @t1200)))) % 1.23/1.48 (assume @p1238 (forall @t1202 (=> @t1211 (tptp.class_Orderings_Opreorder @t1200)))) % 1.23/1.48 (assume @p1239 (forall @t1202 (=> @t1211 (tptp.class_Orderings_Olinorder @t1200)))) % 1.23/1.48 (assume @p1240 (forall @t1202 (=> @t1212 (tptp.class_Groups_Omonoid__mult @t1200)))) % 1.23/1.48 (assume @p1241 (forall @t1202 (=> @t1215 (tptp.class_Rings_Ocomm__ring__1 @t1200)))) % 1.23/1.48 (assume @p1242 (forall @t1202 (=> @t1213 (tptp.class_Groups_Omonoid__add @t1200)))) % 1.23/1.48 (assume @p1243 (forall @t1202 (=> @t1204 (tptp.class_Rings_Osemiring__0 @t1200)))) % 1.23/1.48 (assume @p1244 (forall @t1202 (=> @t1214 (tptp.class_Groups_Ogroup__add @t1200)))) % 1.23/1.48 (assume @p1245 (forall @t1202 (=> @t1204 (tptp.class_Rings_Omult__zero @t1200)))) % 1.23/1.48 (assume @p1246 (forall @t1202 (=> @t1211 (tptp.class_Orderings_Oorder @t1200)))) % 1.23/1.48 (assume @p1247 (forall @t1202 (=> @t1204 (tptp.class_Rings_Osemiring @t1200)))) % 1.23/1.48 (assume @p1248 (forall @t1202 (=> @t1211 (tptp.class_Orderings_Oord @t1200)))) % 1.23/1.48 (assume @p1249 (forall @t1202 (=> @t1211 (tptp.class_Groups_Osgn__if @t1200)))) % 1.23/1.48 (assume @p1250 (forall @t1202 (=> @t1215 (tptp.class_Rings_Oring__1 @t1200)))) % 1.23/1.48 (assume @p1251 (forall @t1202 (=> @t1212 (tptp.class_Power_Opower @t1200)))) % 1.23/1.48 (assume @p1252 (forall @t1202 (=> (tptp.class_Groups_Ozero @t1199) (tptp.class_Groups_Ozero @t1200)))) % 1.23/1.48 (assume @p1253 (forall @t1202 (=> @t1205 (tptp.class_Rings_Oring @t1200)))) % 1.23/1.48 (assume @p1254 (forall @t1202 (=> @t1212 (tptp.class_Groups_Oone @t1200)))) % 1.23/1.48 (assume @p1255 (forall (@list @t1217 @t1216 @t214 @t21) (= (tptp.hAPP (tptp.c_COMBK @t21 @t214 @t1216) @t1217) @t1216))) % 1.23/1.48 (assume @p1256 (forall (@list @t1218 @t1219 @t363 @t1221 @t21 @t214) (= (tptp.hAPP (tptp.c_COMBB @t214 @t21 @t1221 @t363 @t1219) @t1218) (tptp.hAPP @t363 @t1220)))) % 1.23/1.48 (assume @p1257 (forall @t1223 (= (tptp.hAPP (tptp.c_COMBC @t214 @t1221 @t21 @t363 @t1219) @t1218) (tptp.hAPP @t1222 @t1219)))) % 1.23/1.48 (assume @p1258 (forall @t1223 (= (tptp.hAPP (tptp.c_COMBS @t214 @t1221 @t21 @t363 @t1219) @t1218) (tptp.hAPP @t1222 @t1220)))) % 1.23/1.48 (assume @p1259 (not (and @t1225 @t1224))) % 1.23/1.48 (assume @p1260 true) % 1.23/1.48 (step @p1261 :rule aci_norm :args ((= (or @t1228 @t1229) (or @t1228 @t1227 @t1226 @t33)))) % 1.23/1.48 (step @p1262 :rule aci_norm :args ((= (or @t1227 (or @t1226 @t33)) @t1229))) % 1.23/1.48 (step @p1263 :rule bool-impl-elim :args (@t39 @t33)) % 1.23/1.48 (step @p1264 :rule refl :args (@t1227)) % 1.23/1.48 (step @p1265 :rule nary_cong :premises (@p1264 @p1263) :args ((or @t1227 @t40))) % 1.23/1.48 (step @p1266 :rule trans :premises (@p1265 @p1262)) % 1.23/1.48 (step @p1267 :rule bool-impl-elim :args (@t41 @t40)) % 1.23/1.48 (step @p1268 :rule trans :premises (@p1267 @p1266)) % 1.23/1.48 (step @p1269 :rule refl :args (@t1228)) % 1.23/1.48 (step @p1270 :rule nary_cong :premises (@p1269 @p1268) :args ((or @t1228 @t42))) % 1.23/1.48 (step @p1271 :rule trans :premises (@p1270 @p1261)) % 1.23/1.48 (step @p1272 :rule bool-impl-elim :args (@t37 @t42)) % 1.23/1.48 (step @p1273 :rule trans :premises (@p1272 @p1271)) % 1.23/1.48 (step @p1274 :rule cong :premises (@p1273) :args (@t43)) % 1.23/1.48 (step @p1275 :rule eq_resolve :premises (@p11 @p1274)) % 1.23/1.48 (step @p1276 :rule instantiate :premises (@p1275) :args ((@list @t10 tptp.v_r tptp.tc_RealDef_Oreal))) % 1.23/1.48 (step @p1277 :rule bool-impl-elim :args (@t27 @t187)) % 1.23/1.48 (step @p1278 :rule cong :premises (@p1277) :args (@t188)) % 1.23/1.48 (step @p1279 :rule eq_resolve :premises (@p82 @p1278)) % 1.23/1.48 (step @p1280 :rule instantiate :premises (@p1279) :args ((@list tptp.tc_RealDef_Oreal))) % 1.23/1.48 (step @p1281 :rule cnf_or_pos :args (@t1232)) % 1.23/1.48 (step @p1282 :rule reordering :premises (@p1281) :args ((or @t1231 @t1230 (not @t1232)))) % 1.23/1.48 (step @p1283 :rule chain_m_resolution :premises (@p1282 @p1128 @p1280) :args (@t1230 (@list false false) (@list @t1210 @t1232))) % 1.23/1.48 (step @p1284 :rule instantiate :premises (@p4) :args ((@list @t1233))) % 1.23/1.48 (step @p1285 :rule refl :args (@t1235)) % 1.23/1.48 (step @p1286 :rule bool-double-not-elim :args (@t1224)) % 1.23/1.48 (step @p1287 :rule nary_cong :premises (@p1286 @p1285) :args ((or (not @t1236) @t1235))) % 1.23/1.48 (assume-push @p1300 @t1236) % 1.23/1.48 (step @p1289 :rule skolemize :premises (@p1300)) % 1.23/1.48 (step-pop @p1301 :rule scope :premises (@p1289)) % 1.23/1.48 (step @p1290 :rule process_scope :premises (@p1301) :args (@t1235)) % 1.23/1.48 (step @p1292 :rule implies_elim :premises (@p1290)) % 1.23/1.48 (step @p1293 :rule eq_resolve :premises (@p1292 @p1287)) % 1.23/1.48 (step @p1294 :rule chain_m_resolution :premises (@p1293 @p1284) :args (@t1224 @t1237 (@list @t1234))) % 1.23/1.48 (step @p1295 :rule not_and :premises (@p1259)) % 1.23/1.48 (step @p1296 :rule chain_m_resolution :premises (@p1295 @p1294) :args ((not @t1225) @t1237 (@list @t1224))) % 1.23/1.48 (step @p1297 :rule cnf_or_pos :args (@t1241)) % 1.23/1.48 (step @p1298 :rule reordering :premises (@p1297) :args ((or @t1225 @t1239 @t1240 @t1238 (not @t1241)))) % 1.23/1.48 (step @p1299 false :rule chain_m_resolution :premises (@p1298 @p1296 @p1283 @p1276 @p1113 @p2) :args (false (@list true false false false false) (@list @t1225 @t1230 @t1241 @t1209 @t9))) % 1.23/1.48 ) % 1.23/1.48 % SZS output end Proof % 1.23/1.48 % cvc5 exiting %------------------------------------------------------------------------------