%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWW204+1 : TPTP v9.2.1. Released v5.2.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n018.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 09:04:30 AM UTC 2026 % Result : Theorem 1.24s 1.43s % Output : Proof 1.24s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWW204+1 : TPTP v9.2.1. Released v5.2.0. % 0.00/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n018.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 21:39:50 EDT 2026 % 0.15/0.34 % CPUTime : % 0.47/0.77 %----Proving TF0_NAR, FOF, or CNF % 1.24/1.43 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 1.24/1.43 % SZS status Theorem % 1.24/1.43 % SZS output start Proof % 1.24/1.43 ( % 1.24/1.43 (declare-sort $$unsorted 0) % 1.24/1.43 (declare-const tptp.class_Groups_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Rings_Oinverse__class_Odivide (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__case (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Complex_Ocomplex_OComplex (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Nat__Transfer_Otsub (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Complex_Oii $$unsorted) % 1.24/1.43 (declare-const tptp.class_Rings_Oring__1 (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Oab__group__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Ominus (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Oordered__ab__group__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Ocomm__ring (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Groups_Ominus__class_Ominus (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Transcendental_Ocos (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Complex_Ocis (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Rings_Olinordered__semiring__1__strict (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Oordered__ring__abs (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Olinordered__semiring__1 (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Olinordered__ab__group__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Oidom (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Omonoid__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Ocomm__monoid__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Oordered__comm__monoid__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Oordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_RealVector_Oreal__normed__field (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Ocomm__semiring (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Fields_Ofield__inverse__zero (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_COMBC (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Groups_Oab__semigroup__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Transcendental_Oln (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Rings_Osemiring__0 (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Omonoid__mult (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Ocomm__monoid__mult (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Groups_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Rings_Ozero__neq__one (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_RealVector_Oreal__normed__algebra__1 (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Oordered__ab__group__add__abs (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Olinordered__ring (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.v_s $$unsorted) % 1.24/1.43 (declare-const tptp.tc_Int_Oint $$unsorted) % 1.24/1.43 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Groups_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 1.24/1.43 (declare-const tptp.c_Divides_Odiv__class_Odiv (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Complex_ORe $$unsorted) % 1.24/1.43 (declare-const tptp.class_Groups_Oab__semigroup__mult (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__size (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_SEQ_Odecseq (-> $$unsorted $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_RealDef_Oreal (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Rings_Ono__zero__divisors (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Groups_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Nat_Osize__class_Osize (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Rings_Olinordered__comm__semiring__strict (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.v_f____ $$unsorted) % 1.24/1.43 (declare-const tptp.class_Rings_Osemiring (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_RComplete_Onatfloor (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Rings_Oring (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Oone (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Rings_Olinordered__ring__strict (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Oordered__cancel__semiring (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Rings_Ocomm__ring__1 (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_SEQ_Osubseq (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Ozero (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Groups_Oabs__class_Oabs (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Groups_Ogroup__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Oordered__comm__semiring (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_NthRoot_Oroot (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Transcendental_Osin (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 1.24/1.43 (declare-const tptp.class_Rings_Odivision__ring (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.v_r $$unsorted) % 1.24/1.43 (declare-const tptp.class_Divides_Osemiring__div (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Orderings_Oord (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_RComplete_Onatceiling (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.v_ga____ $$unsorted) % 1.24/1.43 (declare-const tptp.c_Complex_Oexpi (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.tc_Nat_Onat $$unsorted) % 1.24/1.43 (declare-const tptp.c_Orderings_Oord__class_Oless__eq (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Rings_Oordered__semiring (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Oordered__ring (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Oring__no__zero__divisors (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Fields_Ofield (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Omult__zero (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Ocomm__semiring__1 (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_SEQ_Oincseq (-> $$unsorted $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_COMBB (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Lattices_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Complex_Oarg (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_SEQ_OBseq (-> $$unsorted $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Ocomm__semiring__0 (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Groups_Ocancel__semigroup__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Olinordered__semidom (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Olinordered__semiring (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Complex_OIm $$unsorted) % 1.24/1.43 (declare-const tptp.c_COMBK (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Rings_Olinordered__idom (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_RealVector_Oreal__normed__div__algebra (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.class_Rings_Olinordered__semiring__strict (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.tc_HOL_Obool $$unsorted) % 1.24/1.43 (declare-const tptp.c_Nat_OSuc (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Fun_Ocomp (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Complex_Ocomplex_Ocomplex__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_SEQ_Omonoseq (-> $$unsorted $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_Groups_Oone__class_Oone (-> $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Complex_Orcis (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.class_Groups_Oordered__ab__semigroup__add (-> $$unsorted Bool)) % 1.24/1.43 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Orderings_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted)) % 1.24/1.43 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 1.24/1.43 (define @t1 () (@var "V_gb_2" $$unsorted)) % 1.24/1.43 (define @t2 () (@var "V_fa_2" $$unsorted)) % 1.24/1.43 (define @t3 () (@var "B_x" $$unsorted)) % 1.24/1.43 (define @t4 () (tptp.hAPP @t1 @t3)) % 1.24/1.43 (define @t5 () (tptp.hAPP @t2 @t3)) % 1.24/1.43 (define @t6 () (@list @t3)) % 1.24/1.43 (define @t7 () (@var "V_x" $$unsorted)) % 1.24/1.43 (define @t8 () (@var "T_a" $$unsorted)) % 1.24/1.43 (define @t9 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t7)) % 1.24/1.43 (define @t10 () (tptp.class_Orderings_Opreorder @t8)) % 1.24/1.43 (define @t11 () (@list @t7 @t8)) % 1.24/1.43 (define @t12 () (@var "B_n" $$unsorted)) % 1.24/1.43 (define @t13 () (@list @t12)) % 1.24/1.43 (define @t14 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Nat_Onat)) % 1.24/1.43 (define @t15 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP tptp.v_s @t14))) % 1.24/1.43 (define @t16 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t15) tptp.v_r))) % 1.24/1.43 (define @t17 () (@var "V_w" $$unsorted)) % 1.24/1.43 (define @t18 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t17)) % 1.24/1.43 (define @t19 () (@list @t17)) % 1.24/1.43 (define @t20 () (@var "V_z" $$unsorted)) % 1.24/1.43 (define @t21 () (tptp.hBOOL (tptp.hAPP @t18 @t20))) % 1.24/1.43 (define @t22 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t20) @t17))) % 1.24/1.43 (define @t23 () (@list @t17 @t20)) % 1.24/1.43 (define @t24 () (@var "V_k" $$unsorted)) % 1.24/1.43 (define @t25 () (@var "V_i" $$unsorted)) % 1.24/1.43 (define @t26 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t25)) % 1.24/1.43 (define @t27 () (tptp.hBOOL (tptp.hAPP @t26 @t24))) % 1.24/1.43 (define @t28 () (@var "V_j" $$unsorted)) % 1.24/1.43 (define @t29 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t28) @t24))) % 1.24/1.43 (define @t30 () (=> @t29 @t27)) % 1.24/1.43 (define @t31 () (tptp.hBOOL (tptp.hAPP @t26 @t28))) % 1.24/1.43 (define @t32 () (@list @t24 @t28 @t25)) % 1.24/1.43 (define @t33 () (forall @t32 (=> @t31 @t30))) % 1.24/1.43 (define @t34 () (= @t20 @t17)) % 1.24/1.43 (define @t35 () (@var "T_b" $$unsorted)) % 1.24/1.43 (define @t36 () (tptp.tc_fun @t8 @t35)) % 1.24/1.43 (define @t37 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t2) @t1))) % 1.24/1.43 (define @t38 () (tptp.class_Orderings_Oord @t35)) % 1.24/1.43 (define @t39 () (@list @t1 @t2 @t8 @t35)) % 1.24/1.43 (define @t40 () (@var "V_y" $$unsorted)) % 1.24/1.43 (define @t41 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t40)) % 1.24/1.43 (define @t42 () (tptp.hBOOL (tptp.hAPP @t41 @t7))) % 1.24/1.43 (define @t43 () (tptp.hBOOL (tptp.hAPP @t9 @t40))) % 1.24/1.43 (define @t44 () (tptp.class_Orderings_Olinorder @t8)) % 1.24/1.43 (define @t45 () (@list @t40 @t7 @t8)) % 1.24/1.43 (define @t46 () (@var "V_x_2" $$unsorted)) % 1.24/1.43 (define @t47 () (@var "V_y_2" $$unsorted)) % 1.24/1.43 (define @t48 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t47) @t46))) % 1.24/1.43 (define @t49 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t46) @t47))) % 1.24/1.43 (define @t50 () (= @t46 @t47)) % 1.24/1.43 (define @t51 () (tptp.class_Orderings_Oorder @t8)) % 1.24/1.43 (define @t52 () (@list @t47 @t46 @t8)) % 1.24/1.43 (define @t53 () (= @t7 @t40)) % 1.24/1.43 (define @t54 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_RealDef_Oreal)) % 1.24/1.43 (define @t55 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t54)) % 1.24/1.43 (define @t56 () (tptp.hBOOL (tptp.hAPP @t55 @t15))) % 1.24/1.43 (define @t57 () (tptp.hAPP @t1 @t46)) % 1.24/1.43 (define @t58 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t20)) % 1.24/1.43 (define @t59 () (tptp.hBOOL (tptp.hAPP @t58 @t40))) % 1.24/1.43 (define @t60 () (@list @t20 @t7 @t40 @t8)) % 1.24/1.43 (define @t61 () (@list @t7 @t40 @t8)) % 1.24/1.43 (define @t62 () (tptp.hBOOL (tptp.hAPP @t41 @t20))) % 1.24/1.43 (define @t63 () (@list @t20 @t40 @t7 @t8)) % 1.24/1.43 (define @t64 () (@var "V_a" $$unsorted)) % 1.24/1.43 (define @t65 () (@var "V_c" $$unsorted)) % 1.24/1.43 (define @t66 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t65)) % 1.24/1.43 (define @t67 () (tptp.hBOOL (tptp.hAPP @t66 @t64))) % 1.24/1.43 (define @t68 () (@var "V_b" $$unsorted)) % 1.24/1.43 (define @t69 () (= @t68 @t65)) % 1.24/1.43 (define @t70 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t68)) % 1.24/1.43 (define @t71 () (tptp.hBOOL (tptp.hAPP @t70 @t64))) % 1.24/1.43 (define @t72 () (@list @t65 @t64 @t68 @t8)) % 1.24/1.43 (define @t73 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t64)) % 1.24/1.43 (define @t74 () (tptp.hBOOL (tptp.hAPP @t73 @t65))) % 1.24/1.43 (define @t75 () (tptp.hBOOL (tptp.hAPP @t73 @t68))) % 1.24/1.43 (define @t76 () (tptp.class_Orderings_Oord @t8)) % 1.24/1.43 (define @t77 () (@list @t65 @t68 @t64 @t8)) % 1.24/1.43 (define @t78 () (= @t64 @t68)) % 1.24/1.43 (define @t79 () (tptp.hBOOL (tptp.hAPP @t70 @t65))) % 1.24/1.43 (define @t80 () (= @t49 @t50)) % 1.24/1.43 (define @t81 () (@list @t46 @t47 @t8)) % 1.24/1.43 (define @t82 () (tptp.c_Groups_Ozero__class_Ozero @t8)) % 1.24/1.43 (define @t83 () (= @t46 @t82)) % 1.24/1.43 (define @t84 () (tptp.c_RealVector_Onorm__class_Onorm @t8 @t46)) % 1.24/1.43 (define @t85 () (tptp.class_RealVector_Oreal__normed__vector @t8)) % 1.24/1.43 (define @t86 () (@list @t46 @t8)) % 1.24/1.43 (define @t87 () (tptp.c_RealVector_Onorm__class_Onorm @t8 @t7)) % 1.24/1.43 (define @t88 () (@list @t8)) % 1.24/1.43 (define @t89 () (@var "V_n" $$unsorted)) % 1.24/1.43 (define @t90 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t14)) % 1.24/1.43 (define @t91 () (@list @t89)) % 1.24/1.43 (define @t92 () (@var "V_n_2" $$unsorted)) % 1.24/1.43 (define @t93 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t92)) % 1.24/1.43 (define @t94 () (tptp.c_SEQ_Osubseq @t2)) % 1.24/1.43 (define @t95 () (= @t92 @t14)) % 1.24/1.43 (define @t96 () (@list @t92)) % 1.24/1.43 (define @t97 () (tptp.class_Groups_Ozero @t8)) % 1.24/1.43 (define @t98 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t92)) % 1.24/1.43 (define @t99 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t98)) % 1.24/1.43 (define @t100 () (tptp.c_RealVector_Onorm__class_Onorm @t8 @t40)) % 1.24/1.43 (define @t101 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_RealDef_Oreal)) % 1.24/1.43 (define @t102 () (tptp.hAPP @t101 @t65)) % 1.24/1.43 (define @t103 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t65) @t54))) % 1.24/1.43 (define @t104 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t89)) % 1.24/1.43 (define @t105 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t89)) % 1.24/1.43 (define @t106 () (tptp.hAPP (tptp.hAPP @t101 @t87) @t100)) % 1.24/1.43 (define @t107 () (tptp.c_Groups_Otimes__class_Otimes @t8)) % 1.24/1.43 (define @t108 () (tptp.hAPP @t107 @t7)) % 1.24/1.43 (define @t109 () (tptp.hAPP @t108 @t40)) % 1.24/1.43 (define @t110 () (tptp.c_RealVector_Onorm__class_Onorm @t8 @t109)) % 1.24/1.43 (define @t111 () (tptp.class_RealVector_Oreal__normed__div__algebra @t8)) % 1.24/1.43 (define @t112 () (tptp.hAPP @t101 @t20)) % 1.24/1.43 (define @t113 () (@var "V_m" $$unsorted)) % 1.24/1.43 (define @t114 () (tptp.hBOOL (tptp.hAPP @t105 @t113))) % 1.24/1.43 (define @t115 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t113)) % 1.24/1.43 (define @t116 () (tptp.hBOOL (tptp.hAPP @t115 @t89))) % 1.24/1.43 (define @t117 () (@list @t89 @t113)) % 1.24/1.43 (define @t118 () (@var "V_m_2" $$unsorted)) % 1.24/1.43 (define @t119 () (= @t92 @t118)) % 1.24/1.43 (define @t120 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t118)) % 1.24/1.43 (define @t121 () (@list @t118 @t92)) % 1.24/1.43 (define @t122 () (@var "V_z3" $$unsorted)) % 1.24/1.43 (define @t123 () (@var "V_z2" $$unsorted)) % 1.24/1.43 (define @t124 () (tptp.hAPP @t101 @t123)) % 1.24/1.43 (define @t125 () (@var "V_z1" $$unsorted)) % 1.24/1.43 (define @t126 () (tptp.hAPP @t101 @t125)) % 1.24/1.43 (define @t127 () (@list @t122 @t123 @t125)) % 1.24/1.43 (define @t128 () (= @t113 @t89)) % 1.24/1.43 (define @t129 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t25)) % 1.24/1.43 (define @t130 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t28)) % 1.24/1.43 (define @t131 () (tptp.hBOOL (tptp.hAPP @t129 @t28))) % 1.24/1.43 (define @t132 () (tptp.hAPP @t107 @t68)) % 1.24/1.43 (define @t133 () (tptp.hAPP @t132 @t65)) % 1.24/1.43 (define @t134 () (tptp.hAPP @t107 @t64)) % 1.24/1.43 (define @t135 () (tptp.hAPP @t134 @t68)) % 1.24/1.43 (define @t136 () (tptp.hAPP @t107 @t82)) % 1.24/1.43 (define @t137 () (tptp.class_RealVector_Oreal__normed__algebra @t8)) % 1.24/1.43 (define @t138 () (@list @t40 @t8)) % 1.24/1.43 (define @t139 () (= (tptp.hAPP @t134 @t82) @t82)) % 1.24/1.43 (define @t140 () (@list @t64 @t8)) % 1.24/1.43 (define @t141 () (tptp.hBOOL (tptp.hAPP @t93 @t118))) % 1.24/1.43 (define @t142 () (@var "V_b_2" $$unsorted)) % 1.24/1.43 (define @t143 () (@var "V_a_2" $$unsorted)) % 1.24/1.43 (define @t144 () (= @t143 @t142)) % 1.24/1.43 (define @t145 () (@var "V_c_2" $$unsorted)) % 1.24/1.43 (define @t146 () (not (= @t145 @t54))) % 1.24/1.43 (define @t147 () (@list @t142 @t143 @t145)) % 1.24/1.43 (define @t148 () (tptp.hAPP @t101 @t145)) % 1.24/1.43 (define @t149 () (tptp.hAPP @t134 @t64)) % 1.24/1.43 (define @t150 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t82)) % 1.24/1.43 (define @t151 () (tptp.class_Rings_Olinordered__ring @t8)) % 1.24/1.43 (define @t152 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t142)) % 1.24/1.43 (define @t153 () (tptp.hBOOL (tptp.hAPP @t152 @t82))) % 1.24/1.43 (define @t154 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t143)) % 1.24/1.43 (define @t155 () (tptp.hBOOL (tptp.hAPP @t154 @t82))) % 1.24/1.43 (define @t156 () (tptp.hBOOL (tptp.hAPP @t150 @t142))) % 1.24/1.43 (define @t157 () (tptp.hBOOL (tptp.hAPP @t150 @t143))) % 1.24/1.43 (define @t158 () (tptp.hAPP @t107 @t143)) % 1.24/1.43 (define @t159 () (tptp.hAPP @t158 @t142)) % 1.24/1.43 (define @t160 () (tptp.class_Rings_Olinordered__ring__strict @t8)) % 1.24/1.43 (define @t161 () (@list @t142 @t143 @t8)) % 1.24/1.43 (define @t162 () (tptp.hBOOL (tptp.hAPP @t150 @t135))) % 1.24/1.43 (define @t163 () (tptp.hBOOL (tptp.hAPP @t150 @t68))) % 1.24/1.43 (define @t164 () (tptp.hBOOL (tptp.hAPP @t150 @t64))) % 1.24/1.43 (define @t165 () (tptp.class_Rings_Oordered__cancel__semiring @t8)) % 1.24/1.43 (define @t166 () (@list @t68 @t64 @t8)) % 1.24/1.43 (define @t167 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t135) @t82))) % 1.24/1.43 (define @t168 () (tptp.hBOOL (tptp.hAPP @t70 @t82))) % 1.24/1.43 (define @t169 () (tptp.hAPP @t132 @t64)) % 1.24/1.43 (define @t170 () (tptp.hBOOL (tptp.hAPP @t73 @t82))) % 1.24/1.43 (define @t171 () (tptp.class_Rings_Oordered__ring @t8)) % 1.24/1.43 (define @t172 () (tptp.hAPP @t134 @t65)) % 1.24/1.43 (define @t173 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t172)) % 1.24/1.43 (define @t174 () (tptp.hBOOL (tptp.hAPP @t173 @t133))) % 1.24/1.43 (define @t175 () (tptp.hBOOL (tptp.hAPP @t150 @t65))) % 1.24/1.43 (define @t176 () (tptp.class_Rings_Oordered__semiring @t8)) % 1.24/1.43 (define @t177 () (tptp.hAPP @t107 @t65)) % 1.24/1.43 (define @t178 () (tptp.hAPP @t177 @t68)) % 1.24/1.43 (define @t179 () (tptp.hAPP @t177 @t64)) % 1.24/1.43 (define @t180 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t179) @t178))) % 1.24/1.43 (define @t181 () (=> @t75 (=> @t175 @t180))) % 1.24/1.43 (define @t182 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Nat_Onat)) % 1.24/1.43 (define @t183 () (tptp.hAPP @t182 @t113)) % 1.24/1.43 (define @t184 () (@list @t113)) % 1.24/1.43 (define @t185 () (= @t118 @t14)) % 1.24/1.43 (define @t186 () (tptp.hAPP @t182 @t118)) % 1.24/1.43 (define @t187 () (tptp.hAPP @t186 @t92)) % 1.24/1.43 (define @t188 () (@list @t92 @t118)) % 1.24/1.43 (define @t189 () (@var "V_k_2" $$unsorted)) % 1.24/1.43 (define @t190 () (= @t189 @t14)) % 1.24/1.43 (define @t191 () (= @t118 @t92)) % 1.24/1.43 (define @t192 () (or @t191 @t190)) % 1.24/1.43 (define @t193 () (tptp.hAPP @t182 @t189)) % 1.24/1.43 (define @t194 () (tptp.hAPP @t193 @t92)) % 1.24/1.43 (define @t195 () (tptp.hAPP @t193 @t118)) % 1.24/1.43 (define @t196 () (= @t195 @t194)) % 1.24/1.43 (define @t197 () (@list @t92 @t118 @t189)) % 1.24/1.43 (define @t198 () (tptp.hAPP @t182 @t92)) % 1.24/1.43 (define @t199 () (tptp.hAPP @t198 @t189)) % 1.24/1.43 (define @t200 () (tptp.hAPP @t186 @t189)) % 1.24/1.43 (define @t201 () (@list @t92 @t189 @t118)) % 1.24/1.43 (define @t202 () (@var "V_l" $$unsorted)) % 1.24/1.43 (define @t203 () (tptp.hAPP @t182 @t28)) % 1.24/1.43 (define @t204 () (tptp.hAPP @t182 @t25)) % 1.24/1.43 (define @t205 () (tptp.hAPP @t204 @t24)) % 1.24/1.43 (define @t206 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t205)) % 1.24/1.43 (define @t207 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t24)) % 1.24/1.43 (define @t208 () (tptp.hBOOL (tptp.hAPP @t207 @t202))) % 1.24/1.43 (define @t209 () (@list @t202 @t24 @t28 @t25)) % 1.24/1.43 (define @t210 () (tptp.hAPP @t182 @t24)) % 1.24/1.43 (define @t211 () (tptp.hAPP @t210 @t28)) % 1.24/1.43 (define @t212 () (tptp.hAPP @t210 @t25)) % 1.24/1.43 (define @t213 () (tptp.hAPP @t203 @t24)) % 1.24/1.43 (define @t214 () (tptp.hAPP @t183 @t113)) % 1.24/1.43 (define @t215 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t113)) % 1.24/1.43 (define @t216 () (tptp.hAPP @t183 @t89)) % 1.24/1.43 (define @t217 () (= @t68 @t82)) % 1.24/1.43 (define @t218 () (= @t64 @t82)) % 1.24/1.43 (define @t219 () (= @t135 @t82)) % 1.24/1.43 (define @t220 () (tptp.class_Rings_Ono__zero__divisors @t8)) % 1.24/1.43 (define @t221 () (not @t217)) % 1.24/1.43 (define @t222 () (not @t218)) % 1.24/1.43 (define @t223 () (= @t143 @t82)) % 1.24/1.43 (define @t224 () (tptp.class_Rings_Omult__zero @t8)) % 1.24/1.43 (define @t225 () (= (tptp.hAPP @t136 @t64) @t82)) % 1.24/1.43 (define @t226 () (@var "V_d" $$unsorted)) % 1.24/1.43 (define @t227 () (tptp.hAPP @t132 @t226)) % 1.24/1.43 (define @t228 () (=> @t175 (tptp.hBOOL (tptp.hAPP @t173 @t227)))) % 1.24/1.43 (define @t229 () (tptp.hBOOL (tptp.hAPP @t66 @t226))) % 1.24/1.43 (define @t230 () (@list @t226 @t65 @t68 @t64 @t8)) % 1.24/1.43 (define @t231 () (tptp.hBOOL (tptp.hAPP @t66 @t82))) % 1.24/1.43 (define @t232 () (@var "B_m" $$unsorted)) % 1.24/1.43 (define @t233 () (@var "V_X_2" $$unsorted)) % 1.24/1.43 (define @t234 () (tptp.hAPP @t233 @t232)) % 1.24/1.43 (define @t235 () (tptp.hAPP @t233 @t12)) % 1.24/1.43 (define @t236 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t235)) % 1.24/1.43 (define @t237 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t232) @t12))) % 1.24/1.43 (define @t238 () (@list @t232 @t12)) % 1.24/1.43 (define @t239 () (forall @t238 (=> @t237 (tptp.hBOOL (tptp.hAPP @t236 @t234))))) % 1.24/1.43 (define @t240 () (tptp.c_SEQ_Odecseq @t8 @t233)) % 1.24/1.43 (define @t241 () (@list @t233 @t8)) % 1.24/1.43 (define @t242 () (tptp.class_Rings_Ocomm__semiring__1 @t8)) % 1.24/1.43 (define @t243 () (@var "B_K" $$unsorted)) % 1.24/1.43 (define @t244 () (@var "B_b" $$unsorted)) % 1.24/1.43 (define @t245 () (@var "B_a" $$unsorted)) % 1.24/1.43 (define @t246 () (forall (@list @t245 @t244) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t8 (tptp.hAPP (tptp.hAPP @t107 @t245) @t244))) (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP (tptp.hAPP @t101 (tptp.c_RealVector_Onorm__class_Onorm @t8 @t245)) (tptp.c_RealVector_Onorm__class_Onorm @t8 @t244))) @t243))))) % 1.24/1.43 (define @t247 () (tptp.hBOOL (tptp.hAPP @t55 @t243))) % 1.24/1.43 (define @t248 () (@list @t243)) % 1.24/1.43 (define @t249 () (tptp.hAPP (tptp.hAPP @t101 (tptp.c_RealVector_Onorm__class_Onorm @t8 @t3)) @t243)) % 1.24/1.43 (define @t250 () (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t8 (tptp.hAPP @t108 @t3))) @t249)))) % 1.24/1.43 (define @t251 () (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t8 (tptp.hAPP (tptp.hAPP @t107 @t3) @t40))) @t249)))) % 1.24/1.43 (define @t252 () (forall @t238 (=> @t237 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t234) @t235))))) % 1.24/1.43 (define @t253 () (tptp.c_SEQ_Oincseq @t8 @t233)) % 1.24/1.43 (define @t254 () (tptp.hAPP @t182 @t89)) % 1.24/1.43 (define @t255 () (tptp.hAPP @t254 @t24)) % 1.24/1.43 (define @t256 () (@list @t24 @t89 @t113)) % 1.24/1.43 (define @t257 () (tptp.hAPP @t254 @t113)) % 1.24/1.43 (define @t258 () (@var "V_ry" $$unsorted)) % 1.24/1.43 (define @t259 () (@var "V_ly" $$unsorted)) % 1.24/1.43 (define @t260 () (tptp.hAPP @t107 @t259)) % 1.24/1.43 (define @t261 () (@var "V_rx" $$unsorted)) % 1.24/1.43 (define @t262 () (@var "V_lx" $$unsorted)) % 1.24/1.43 (define @t263 () (tptp.hAPP @t107 @t262)) % 1.24/1.43 (define @t264 () (tptp.hAPP @t107 (tptp.hAPP @t263 @t261))) % 1.24/1.43 (define @t265 () (tptp.hAPP @t107 @t261)) % 1.24/1.43 (define @t266 () (tptp.hAPP @t265 @t258)) % 1.24/1.43 (define @t267 () (tptp.hAPP @t107 (tptp.hAPP @t263 @t259))) % 1.24/1.43 (define @t268 () (tptp.hAPP @t267 @t266)) % 1.24/1.43 (define @t269 () (@list @t258 @t261 @t259 @t262 @t8)) % 1.24/1.43 (define @t270 () (tptp.hAPP @t267 @t261)) % 1.24/1.43 (define @t271 () (@list @t261 @t259 @t262 @t8)) % 1.24/1.43 (define @t272 () (tptp.hAPP @t263 @t266)) % 1.24/1.43 (define @t273 () (@list @t258 @t261 @t262 @t8)) % 1.24/1.43 (define @t274 () (tptp.tc_Polynomial_Opoly @t8)) % 1.24/1.43 (define @t275 () (tptp.c_Groups_Ozero__class_Ozero @t274)) % 1.24/1.43 (define @t276 () (@var "V_p_2" $$unsorted)) % 1.24/1.43 (define @t277 () (tptp.hAPP @t101 @t64)) % 1.24/1.43 (define @t278 () (tptp.c_RComplete_Onatfloor @t64)) % 1.24/1.43 (define @t279 () (@list @t68 @t64)) % 1.24/1.43 (define @t280 () (tptp.c_SEQ_Omonoseq @t8 @t233)) % 1.24/1.43 (define @t281 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t143)) % 1.24/1.43 (define @t282 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t46)) % 1.24/1.43 (define @t283 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.c_RComplete_Onatceiling @t46))) % 1.24/1.43 (define @t284 () (tptp.hBOOL (tptp.hAPP @t55 @t46))) % 1.24/1.43 (define @t285 () (@list @t143 @t46)) % 1.24/1.43 (define @t286 () (tptp.c_RComplete_Onatfloor @t46)) % 1.24/1.43 (define @t287 () (tptp.class_Lattices_Oab__semigroup__idem__mult @t8)) % 1.24/1.43 (define @t288 () (tptp.hAPP @t108 @t7)) % 1.24/1.43 (define @t289 () (tptp.c_RComplete_Onatfloor @t7)) % 1.24/1.43 (define @t290 () (@list @t7)) % 1.24/1.43 (define @t291 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t7)) % 1.24/1.43 (define @t292 () (tptp.hBOOL (tptp.hAPP @t291 @t40))) % 1.24/1.43 (define @t293 () (@list @t40 @t7)) % 1.24/1.43 (define @t294 () (tptp.c_RComplete_Onatceiling @t7)) % 1.24/1.43 (define @t295 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t294)) % 1.24/1.43 (define @t296 () (tptp.hBOOL (tptp.hAPP @t291 @t54))) % 1.24/1.43 (define @t297 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t289)) % 1.24/1.43 (define @t298 () (tptp.hBOOL (tptp.hAPP @t55 @t7))) % 1.24/1.43 (define @t299 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t7)) % 1.24/1.43 (define @t300 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t7)) % 1.24/1.43 (define @t301 () (@list @t64 @t7)) % 1.24/1.43 (define @t302 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t64)) % 1.24/1.43 (define @t303 () (@var "V_q" $$unsorted)) % 1.24/1.43 (define @t304 () (tptp.c_Groups_Otimes__class_Otimes @t274)) % 1.24/1.43 (define @t305 () (tptp.class_Rings_Ocomm__semiring__0 @t8)) % 1.24/1.43 (define @t306 () (@list @t303 @t8)) % 1.24/1.43 (define @t307 () (@var "V_p" $$unsorted)) % 1.24/1.43 (define @t308 () (tptp.hAPP @t304 @t307)) % 1.24/1.43 (define @t309 () (@list @t307 @t8)) % 1.24/1.43 (define @t310 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t118)) % 1.24/1.43 (define @t311 () (tptp.hBOOL (tptp.hAPP @t310 @t92))) % 1.24/1.43 (define @t312 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t195) @t194))) % 1.24/1.43 (define @t313 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t14)) % 1.24/1.43 (define @t314 () (tptp.hBOOL (tptp.hAPP @t313 @t189))) % 1.24/1.43 (define @t315 () (=> @t314 @t311)) % 1.24/1.43 (define @t316 () (@var "V_s" $$unsorted)) % 1.24/1.43 (define @t317 () (@var "V_r" $$unsorted)) % 1.24/1.43 (define @t318 () (tptp.hAPP @t101 @t317)) % 1.24/1.43 (define @t319 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t100) @t316))) % 1.24/1.43 (define @t320 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t87)) % 1.24/1.43 (define @t321 () (tptp.hBOOL (tptp.hAPP @t320 @t317))) % 1.24/1.43 (define @t322 () (@list @t316 @t40 @t317 @t7 @t8)) % 1.24/1.43 (define @t323 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t89)) % 1.24/1.43 (define @t324 () (tptp.c_Orderings_Oord__class_Oless @t8 @t40)) % 1.24/1.43 (define @t325 () (tptp.hBOOL (tptp.hAPP @t324 @t7))) % 1.24/1.43 (define @t326 () (tptp.c_Orderings_Oord__class_Oless @t8 @t7)) % 1.24/1.43 (define @t327 () (tptp.hBOOL (tptp.hAPP @t326 @t40))) % 1.24/1.43 (define @t328 () (not @t327)) % 1.24/1.43 (define @t329 () (not @t53)) % 1.24/1.43 (define @t330 () (=> @t329 (=> @t328 @t325))) % 1.24/1.43 (define @t331 () (tptp.class_Rings_Olinordered__idom @t8)) % 1.24/1.43 (define @t332 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t47) @t46))) % 1.24/1.43 (define @t333 () (tptp.c_Orderings_Oord__class_Oless @t8 @t46)) % 1.24/1.43 (define @t334 () (tptp.hBOOL (tptp.hAPP @t333 @t47))) % 1.24/1.43 (define @t335 () (not @t50)) % 1.24/1.43 (define @t336 () (not @t334)) % 1.24/1.43 (define @t337 () (= @t336 @t50)) % 1.24/1.43 (define @t338 () (tptp.c_Orderings_Oord__class_Oless @t8 @t68)) % 1.24/1.43 (define @t339 () (tptp.hBOOL (tptp.hAPP @t338 @t64))) % 1.24/1.43 (define @t340 () (tptp.c_Orderings_Oord__class_Oless @t8 @t64)) % 1.24/1.43 (define @t341 () (tptp.hBOOL (tptp.hAPP @t340 @t68))) % 1.24/1.43 (define @t342 () (@list @t64 @t68 @t8)) % 1.24/1.43 (define @t343 () (tptp.hBOOL (tptp.hAPP @t340 @t65))) % 1.24/1.43 (define @t344 () (tptp.hBOOL (tptp.hAPP @t338 @t65))) % 1.24/1.43 (define @t345 () (tptp.c_Orderings_Oord__class_Oless @t8 @t65)) % 1.24/1.43 (define @t346 () (tptp.hBOOL (tptp.hAPP @t345 @t64))) % 1.24/1.43 (define @t347 () (tptp.hBOOL (tptp.hAPP @t326 @t20))) % 1.24/1.43 (define @t348 () (=> (tptp.hBOOL (tptp.hAPP @t324 @t20)) @t347)) % 1.24/1.43 (define @t349 () (tptp.c_Orderings_Oord__class_Oless @t8 @t20)) % 1.24/1.43 (define @t350 () (tptp.hBOOL (tptp.hAPP @t349 @t7))) % 1.24/1.43 (define @t351 () (=> (tptp.hBOOL (tptp.hAPP @t349 @t40)) @t350)) % 1.24/1.43 (define @t352 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t92)) % 1.24/1.43 (define @t353 () (tptp.hBOOL (tptp.hAPP @t352 @t118))) % 1.24/1.43 (define @t354 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t118)) % 1.24/1.43 (define @t355 () (tptp.hBOOL (tptp.hAPP @t354 @t92))) % 1.24/1.43 (define @t356 () (not @t191)) % 1.24/1.43 (define @t357 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t7)) % 1.24/1.43 (define @t358 () (tptp.hBOOL (tptp.hAPP @t357 @t40))) % 1.24/1.43 (define @t359 () (not @t128)) % 1.24/1.43 (define @t360 () (tptp.hBOOL (tptp.hAPP @t323 @t113))) % 1.24/1.43 (define @t361 () (@list @t113 @t89)) % 1.24/1.43 (define @t362 () (@var "V_t" $$unsorted)) % 1.24/1.43 (define @t363 () (@var "V_P_2" $$unsorted)) % 1.24/1.43 (define @t364 () (tptp.hAPP @t363 @t92)) % 1.24/1.43 (define @t365 () (tptp.hBOOL (tptp.hAPP @t364 @t118))) % 1.24/1.43 (define @t366 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t98)) % 1.24/1.43 (define @t367 () (not @t78)) % 1.24/1.43 (define @t368 () (tptp.hBOOL (tptp.hAPP @t313 @t89))) % 1.24/1.43 (define @t369 () (= @t89 @t14)) % 1.24/1.43 (define @t370 () (not @t369)) % 1.24/1.43 (define @t371 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t113)) % 1.24/1.43 (define @t372 () (tptp.hBOOL (tptp.hAPP @t371 @t89))) % 1.24/1.43 (define @t373 () (tptp.hBOOL (tptp.hAPP @t313 @t92))) % 1.24/1.43 (define @t374 () (not @t95)) % 1.24/1.43 (define @t375 () (tptp.hBOOL (tptp.hAPP @t282 @t47))) % 1.24/1.43 (define @t376 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t46)) % 1.24/1.43 (define @t377 () (tptp.hBOOL (tptp.hAPP @t376 @t47))) % 1.24/1.43 (define @t378 () (@list @t47 @t46)) % 1.24/1.43 (define @t379 () (or @t355 @t191)) % 1.24/1.43 (define @t380 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t54)) % 1.24/1.43 (define @t381 () (tptp.hAPP @t2 @t12)) % 1.24/1.43 (define @t382 () (@list @t2)) % 1.24/1.43 (define @t383 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t142) @t143))) % 1.24/1.43 (define @t384 () (tptp.c_Orderings_Oord__class_Oless @t8 @t145)) % 1.24/1.43 (define @t385 () (tptp.hBOOL (tptp.hAPP @t384 @t82))) % 1.24/1.43 (define @t386 () (tptp.c_Orderings_Oord__class_Oless @t8 @t143)) % 1.24/1.43 (define @t387 () (tptp.hBOOL (tptp.hAPP @t386 @t142))) % 1.24/1.43 (define @t388 () (tptp.c_Orderings_Oord__class_Oless @t8 @t82)) % 1.24/1.43 (define @t389 () (tptp.hBOOL (tptp.hAPP @t388 @t145))) % 1.24/1.43 (define @t390 () (or (and @t389 @t387) (and @t385 @t383))) % 1.24/1.43 (define @t391 () (tptp.hAPP @t107 @t142)) % 1.24/1.43 (define @t392 () (tptp.hAPP @t391 @t145)) % 1.24/1.43 (define @t393 () (tptp.hAPP @t158 @t145)) % 1.24/1.43 (define @t394 () (@list @t142 @t145 @t143 @t8)) % 1.24/1.43 (define @t395 () (tptp.hAPP @t107 @t145)) % 1.24/1.43 (define @t396 () (tptp.hAPP @t395 @t142)) % 1.24/1.43 (define @t397 () (tptp.hAPP @t395 @t143)) % 1.24/1.43 (define @t398 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t397) @t396))) % 1.24/1.43 (define @t399 () (@list @t142 @t143 @t145 @t8)) % 1.24/1.43 (define @t400 () (tptp.hBOOL (tptp.hAPP @t388 @t135))) % 1.24/1.43 (define @t401 () (tptp.hBOOL (tptp.hAPP @t388 @t68))) % 1.24/1.43 (define @t402 () (tptp.hBOOL (tptp.hAPP @t388 @t64))) % 1.24/1.43 (define @t403 () (tptp.class_Rings_Olinordered__semiring__strict @t8)) % 1.24/1.43 (define @t404 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t135) @t82))) % 1.24/1.43 (define @t405 () (tptp.hBOOL (tptp.hAPP @t338 @t82))) % 1.24/1.43 (define @t406 () (=> @t402 @t401)) % 1.24/1.43 (define @t407 () (tptp.hBOOL (tptp.hAPP @t340 @t82))) % 1.24/1.43 (define @t408 () (tptp.c_Orderings_Oord__class_Oless @t8 @t172)) % 1.24/1.43 (define @t409 () (tptp.hBOOL (tptp.hAPP @t408 @t133))) % 1.24/1.43 (define @t410 () (tptp.hBOOL (tptp.hAPP @t388 @t65))) % 1.24/1.43 (define @t411 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t179) @t178))) % 1.24/1.43 (define @t412 () (=> @t341 (=> @t410 @t411))) % 1.24/1.43 (define @t413 () (tptp.hBOOL (tptp.hAPP @t345 @t82))) % 1.24/1.43 (define @t414 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t7)) % 1.24/1.43 (define @t415 () (@list @t89 @t7)) % 1.24/1.43 (define @t416 () (tptp.hBOOL (tptp.hAPP @t313 @t118))) % 1.24/1.43 (define @t417 () (and @t314 @t355)) % 1.24/1.43 (define @t418 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t195) @t194))) % 1.24/1.43 (define @t419 () (tptp.hBOOL (tptp.hAPP @t313 @t24))) % 1.24/1.43 (define @t420 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t25)) % 1.24/1.43 (define @t421 () (tptp.hBOOL (tptp.hAPP @t420 @t28))) % 1.24/1.43 (define @t422 () (tptp.hBOOL (tptp.hAPP @t414 @t40))) % 1.24/1.43 (define @t423 () (tptp.hAPP (tptp.hAPP @t101 @t7) @t40)) % 1.24/1.43 (define @t424 () (tptp.hBOOL (tptp.hAPP @t380 @t40))) % 1.24/1.43 (define @t425 () (tptp.hBOOL (tptp.hAPP @t380 @t7))) % 1.24/1.43 (define @t426 () (@var "V_z_2" $$unsorted)) % 1.24/1.43 (define @t427 () (tptp.hAPP @t101 @t47)) % 1.24/1.43 (define @t428 () (tptp.hAPP @t427 @t426)) % 1.24/1.43 (define @t429 () (tptp.hAPP @t101 @t46)) % 1.24/1.43 (define @t430 () (tptp.hAPP @t429 @t426)) % 1.24/1.43 (define @t431 () (tptp.hBOOL (tptp.hAPP @t380 @t426))) % 1.24/1.43 (define @t432 () (@list @t47 @t46 @t426)) % 1.24/1.43 (define @t433 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t104)) % 1.24/1.43 (define @t434 () (tptp.hBOOL (tptp.hAPP @t154 @t142))) % 1.24/1.43 (define @t435 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t397) @t396))) % 1.24/1.43 (define @t436 () (tptp.hBOOL (tptp.hAPP @t408 @t227))) % 1.24/1.43 (define @t437 () (=> @t175 @t436)) % 1.24/1.43 (define @t438 () (tptp.hBOOL (tptp.hAPP @t345 @t226))) % 1.24/1.43 (define @t439 () (=> @t175 @t341)) % 1.24/1.43 (define @t440 () (=> @t409 @t439)) % 1.24/1.43 (define @t441 () (tptp.class_Rings_Olinordered__semiring @t8)) % 1.24/1.43 (define @t442 () (@list @t68 @t65 @t64 @t8)) % 1.24/1.43 (define @t443 () (=> @t411 @t439)) % 1.24/1.43 (define @t444 () (@list @t68 @t64 @t65 @t8)) % 1.24/1.43 (define @t445 () (=> @t410 @t75)) % 1.24/1.43 (define @t446 () (not @t83)) % 1.24/1.43 (define @t447 () (tptp.hAPP @t101 @t426)) % 1.24/1.43 (define @t448 () (@var "B_g" $$unsorted)) % 1.24/1.43 (define @t449 () (= @t46 @t54)) % 1.24/1.43 (define @t450 () (tptp.hAPP @t429 @t46)) % 1.24/1.43 (define @t451 () (@list @t46)) % 1.24/1.43 (define @t452 () (tptp.hBOOL (tptp.hAPP @t380 @t243))) % 1.24/1.43 (define @t453 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 1.24/1.43 (define @t454 () (tptp.hBOOL (tptp.hAPP @t299 @t40))) % 1.24/1.43 (define @t455 () (tptp.c_RealVector_Onorm__class_Onorm @t8 @t235)) % 1.24/1.43 (define @t456 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t455)) % 1.24/1.43 (define @t457 () (exists @t248 (and @t452 (forall @t13 (tptp.hBOOL (tptp.hAPP @t456 @t243)))))) % 1.24/1.43 (define @t458 () (tptp.c_SEQ_OBseq @t8 @t233)) % 1.24/1.43 (define @t459 () (tptp.hAPP (tptp.hAPP @t101 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t3)) @t243)) % 1.24/1.43 (define @t460 () (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal (tptp.hAPP tptp.c_Complex_OIm @t3))) @t459)))) % 1.24/1.43 (define @t461 () (tptp.hAPP tptp.c_Complex_OIm @t40)) % 1.24/1.43 (define @t462 () (tptp.hAPP tptp.c_Complex_OIm @t7)) % 1.24/1.43 (define @t463 () (tptp.hAPP tptp.c_Complex_ORe @t40)) % 1.24/1.43 (define @t464 () (tptp.hAPP tptp.c_Complex_ORe @t7)) % 1.24/1.43 (define @t465 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t7)) % 1.24/1.43 (define @t466 () (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal (tptp.hAPP tptp.c_Complex_ORe @t3))) @t459)))) % 1.24/1.43 (define @t467 () (@var "V_K_2" $$unsorted)) % 1.24/1.43 (define @t468 () (tptp.hBOOL (tptp.hAPP @t456 @t467))) % 1.24/1.43 (define @t469 () (@var "V_N_2" $$unsorted)) % 1.24/1.43 (define @t470 () (@var "B_N" $$unsorted)) % 1.24/1.43 (define @t471 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Nat_OSuc @t470))) % 1.24/1.43 (define @t472 () (tptp.c_RealVector_Onorm__class_Onorm @t35 @t235)) % 1.24/1.43 (define @t473 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t472)) % 1.24/1.43 (define @t474 () (@list @t470)) % 1.24/1.43 (define @t475 () (exists @t248 (and @t452 (forall @t13 (tptp.hBOOL (tptp.hAPP @t473 @t243)))))) % 1.24/1.43 (define @t476 () (tptp.class_RealVector_Oreal__normed__vector @t35)) % 1.24/1.43 (define @t477 () (@list @t233 @t35)) % 1.24/1.43 (define @t478 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t472)) % 1.24/1.43 (define @t479 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t12)) % 1.24/1.43 (define @t480 () (tptp.hAPP @t101 @t479)) % 1.24/1.43 (define @t481 () (@var "B_y" $$unsorted)) % 1.24/1.43 (define @t482 () (@list @t481)) % 1.24/1.43 (define @t483 () (@var "B_f" $$unsorted)) % 1.24/1.43 (define @t484 () (tptp.c_SEQ_Osubseq @t483)) % 1.24/1.43 (define @t485 () (@list @t483)) % 1.24/1.43 (define @t486 () (tptp.c_Nat_OSuc @t89)) % 1.24/1.43 (define @t487 () (tptp.c_Nat_OSuc @t113)) % 1.24/1.43 (define @t488 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t487)) % 1.24/1.43 (define @t489 () (tptp.hBOOL (tptp.hAPP @t488 @t486))) % 1.24/1.43 (define @t490 () (@var "V_nat_H_2" $$unsorted)) % 1.24/1.43 (define @t491 () (@var "V_nat_2" $$unsorted)) % 1.24/1.43 (define @t492 () (@var "V_x_H_2" $$unsorted)) % 1.24/1.43 (define @t493 () (@var "V_g_H_2" $$unsorted)) % 1.24/1.43 (define @t494 () (@var "V_f_H_2" $$unsorted)) % 1.24/1.43 (define @t495 () (@var "T_e" $$unsorted)) % 1.24/1.43 (define @t496 () (@var "T_d" $$unsorted)) % 1.24/1.43 (define @t497 () (@var "T_c" $$unsorted)) % 1.24/1.43 (define @t498 () (tptp.hAPP (tptp.c_Fun_Ocomp @t35 @t8 @t497 @t2 @t1) @t46)) % 1.24/1.43 (define @t499 () (tptp.hAPP @t2 @t57)) % 1.24/1.43 (define @t500 () (@var "V_nat_H" $$unsorted)) % 1.24/1.43 (define @t501 () (@var "V_nat_H_1" $$unsorted)) % 1.24/1.43 (define @t502 () (tptp.hBOOL (tptp.hAPP @t488 @t89))) % 1.24/1.43 (define @t503 () (not @t372)) % 1.24/1.43 (define @t504 () (tptp.hBOOL (tptp.hAPP @t371 @t486))) % 1.24/1.43 (define @t505 () (tptp.c_Nat_OSuc @t25)) % 1.24/1.43 (define @t506 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t28) @t24))) % 1.24/1.43 (define @t507 () (tptp.c_Nat_OSuc @t118)) % 1.24/1.43 (define @t508 () (tptp.hBOOL (tptp.hAPP @t352 @t507))) % 1.24/1.43 (define @t509 () (= @t508 @t119)) % 1.24/1.43 (define @t510 () (tptp.c_Nat_OSuc @t92)) % 1.24/1.43 (define @t511 () (tptp.hBOOL (tptp.hAPP @t354 @t510))) % 1.24/1.43 (define @t512 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t487) @t89))) % 1.24/1.43 (define @t513 () (tptp.hBOOL (tptp.hAPP @t115 @t486))) % 1.24/1.43 (define @t514 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t510)) % 1.24/1.43 (define @t515 () (tptp.hBOOL (tptp.hAPP @t514 @t118))) % 1.24/1.43 (define @t516 () (tptp.hAPP @t182 (tptp.c_Nat_OSuc @t189))) % 1.24/1.43 (define @t517 () (tptp.hAPP @t516 @t92)) % 1.24/1.43 (define @t518 () (tptp.hAPP @t516 @t118)) % 1.24/1.43 (define @t519 () (@var "B_j" $$unsorted)) % 1.24/1.43 (define @t520 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t519)) % 1.24/1.43 (define @t521 () (@list @t519)) % 1.24/1.43 (define @t522 () (tptp.c_Nat_OSuc @t14)) % 1.24/1.43 (define @t523 () (= @t92 @t522)) % 1.24/1.43 (define @t524 () (= @t118 @t522)) % 1.24/1.43 (define @t525 () (tptp.c_Nat_OSuc @t12)) % 1.24/1.43 (define @t526 () (tptp.hAPP @t233 @t525)) % 1.24/1.43 (define @t527 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t522)) % 1.24/1.43 (define @t528 () (tptp.hBOOL (tptp.hAPP @t527 @t113))) % 1.24/1.43 (define @t529 () (tptp.hBOOL (tptp.hAPP @t527 @t89))) % 1.24/1.43 (define @t530 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t522)) % 1.24/1.43 (define @t531 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t486)) % 1.24/1.43 (define @t532 () (tptp.c_Nat_OSuc @t522)) % 1.24/1.43 (define @t533 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t525)) % 1.24/1.43 (define @t534 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t317)) % 1.24/1.43 (define @t535 () (tptp.hBOOL (tptp.hAPP @t55 @t317))) % 1.24/1.43 (define @t536 () (@list @t317)) % 1.24/1.43 (define @t537 () (@list @t7 @t40)) % 1.24/1.43 (define @t538 () (@var "V_v_2" $$unsorted)) % 1.24/1.43 (define @t539 () (tptp.hAPP @t143 (tptp.hAPP @t142 @t538))) % 1.24/1.43 (define @t540 () (tptp.c_Fun_Ocomp @t497 @t35 @t8 @t143 @t142)) % 1.24/1.43 (define @t541 () (tptp.c_NthRoot_Oroot @t89 @t7)) % 1.24/1.43 (define @t542 () (tptp.c_NthRoot_Oroot @t113 @t541)) % 1.24/1.43 (define @t543 () (= (tptp.c_NthRoot_Oroot @t216 @t7) @t542)) % 1.24/1.43 (define @t544 () (tptp.hBOOL (tptp.hAPP @t313 @t113))) % 1.24/1.43 (define @t545 () (@list @t7 @t89 @t113)) % 1.24/1.43 (define @t546 () (tptp.c_NthRoot_Oroot @t89 @t40)) % 1.24/1.43 (define @t547 () (= (tptp.c_NthRoot_Oroot @t89 @t423) (tptp.hAPP (tptp.hAPP @t101 @t541) @t546))) % 1.24/1.43 (define @t548 () (tptp.hBOOL (tptp.hAPP @t55 @t40))) % 1.24/1.43 (define @t549 () (@list @t40 @t7 @t89)) % 1.24/1.43 (define @t550 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t541)) % 1.24/1.43 (define @t551 () (=> @t422 (tptp.hBOOL (tptp.hAPP @t550 @t546)))) % 1.24/1.43 (define @t552 () (@var "V_x_1" $$unsorted)) % 1.24/1.43 (define @t553 () (@var "V_n_1" $$unsorted)) % 1.24/1.43 (define @t554 () (tptp.c_NthRoot_Oroot @t92 @t47)) % 1.24/1.43 (define @t555 () (tptp.c_NthRoot_Oroot @t92 @t46)) % 1.24/1.43 (define @t556 () (@list @t47 @t46 @t92)) % 1.24/1.43 (define @t557 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t555)) % 1.24/1.43 (define @t558 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t541)) % 1.24/1.43 (define @t559 () (@list @t46 @t92)) % 1.24/1.43 (define @t560 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t555)) % 1.24/1.43 (define @t561 () (@var "V_h_2" $$unsorted)) % 1.24/1.43 (define @t562 () (@var "V_d_2" $$unsorted)) % 1.24/1.43 (define @t563 () (= @t540 (tptp.c_Fun_Ocomp @t496 @t35 @t8 @t145 @t562))) % 1.24/1.43 (define @t564 () (@var "B_v" $$unsorted)) % 1.24/1.43 (define @t565 () (@list @t7 @t89)) % 1.24/1.43 (define @t566 () (tptp.hBOOL (tptp.hAPP @t282 @t54))) % 1.24/1.43 (define @t567 () (tptp.hBOOL (tptp.hAPP @t55 @t47))) % 1.24/1.43 (define @t568 () (@list @t47 @t92)) % 1.24/1.43 (define @t569 () (tptp.hBOOL (tptp.hAPP @t380 @t47))) % 1.24/1.43 (define @t570 () (@var "V_N" $$unsorted)) % 1.24/1.43 (define @t571 () (tptp.c_NthRoot_Oroot @t570 @t7)) % 1.24/1.43 (define @t572 () (tptp.c_Groups_Oone__class_Oone tptp.tc_RealDef_Oreal)) % 1.24/1.43 (define @t573 () (tptp.hBOOL (tptp.hAPP @t414 @t572))) % 1.24/1.43 (define @t574 () (tptp.hBOOL (tptp.hAPP @t323 @t570))) % 1.24/1.43 (define @t575 () (@list @t7 @t570 @t89)) % 1.24/1.43 (define @t576 () (tptp.c_Power_Opower__class_Opower tptp.tc_RealDef_Oreal)) % 1.24/1.43 (define @t577 () (tptp.hAPP @t576 @t541)) % 1.24/1.43 (define @t578 () (= (tptp.hAPP @t577 @t89) @t7)) % 1.24/1.43 (define @t579 () (tptp.hAPP @t576 @t7)) % 1.24/1.43 (define @t580 () (tptp.hAPP @t579 @t89)) % 1.24/1.43 (define @t581 () (tptp.hAPP (tptp.hAPP @t576 @t87) @t89)) % 1.24/1.43 (define @t582 () (tptp.c_Power_Opower__class_Opower @t8)) % 1.24/1.43 (define @t583 () (tptp.hAPP @t582 @t7)) % 1.24/1.43 (define @t584 () (tptp.hAPP @t583 @t89)) % 1.24/1.43 (define @t585 () (tptp.c_RealVector_Onorm__class_Onorm @t8 @t584)) % 1.24/1.43 (define @t586 () (@list @t89 @t7 @t8)) % 1.24/1.43 (define @t587 () (tptp.c_Groups_Oone__class_Oone @t8)) % 1.24/1.43 (define @t588 () (tptp.class_RealVector_Oreal__normed__algebra__1 @t8)) % 1.24/1.43 (define @t589 () (tptp.hAPP @t582 @t40)) % 1.24/1.43 (define @t590 () (tptp.hAPP @t583 @t303)) % 1.24/1.43 (define @t591 () (tptp.hAPP @t107 @t590)) % 1.24/1.43 (define @t592 () (tptp.class_Rings_Ozero__neq__one @t8)) % 1.24/1.43 (define @t593 () (= (tptp.hAPP @t134 @t587) @t64)) % 1.24/1.43 (define @t594 () (= (tptp.hAPP (tptp.hAPP @t107 @t587) @t64) @t64)) % 1.24/1.43 (define @t595 () (tptp.class_Groups_Ocomm__monoid__mult @t8)) % 1.24/1.43 (define @t596 () (tptp.class_Groups_Omonoid__mult @t8)) % 1.24/1.43 (define @t597 () (tptp.hAPP @t182 @t307)) % 1.24/1.43 (define @t598 () (tptp.hAPP @t583 @t307)) % 1.24/1.43 (define @t599 () (@list @t303 @t307 @t7 @t8)) % 1.24/1.43 (define @t600 () (tptp.hAPP @t576 @t46)) % 1.24/1.43 (define @t601 () (tptp.hBOOL (tptp.hAPP @t282 @t572))) % 1.24/1.43 (define @t602 () (@list @t20)) % 1.24/1.43 (define @t603 () (tptp.class_Rings_Olinordered__semidom @t8)) % 1.24/1.43 (define @t604 () (tptp.hAPP @t583 (tptp.c_Nat_OSuc @t303))) % 1.24/1.43 (define @t605 () (@list @t303 @t7 @t8)) % 1.24/1.43 (define @t606 () (tptp.hAPP @t108 @t590)) % 1.24/1.43 (define @t607 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t587)) % 1.24/1.43 (define @t608 () (tptp.c_Orderings_Oord__class_Oless @t8 @t587)) % 1.24/1.43 (define @t609 () (tptp.hAPP @t107 @t113)) % 1.24/1.43 (define @t610 () (tptp.hBOOL (tptp.hAPP @t41 @t587))) % 1.24/1.43 (define @t611 () (tptp.hBOOL (tptp.hAPP @t150 @t40))) % 1.24/1.43 (define @t612 () (tptp.hBOOL (tptp.hAPP @t150 @t7))) % 1.24/1.43 (define @t613 () (tptp.hAPP @t107 @t40)) % 1.24/1.43 (define @t614 () (tptp.hAPP @t613 @t7)) % 1.24/1.43 (define @t615 () (= @t46 @t572)) % 1.24/1.43 (define @t616 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t572)) % 1.24/1.43 (define @t617 () (tptp.hBOOL (tptp.hAPP @t616 @t7))) % 1.24/1.43 (define @t618 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t572)) % 1.24/1.43 (define @t619 () (tptp.hBOOL (tptp.hAPP @t376 @t572))) % 1.24/1.43 (define @t620 () (tptp.hBOOL (tptp.hAPP @t618 @t7))) % 1.24/1.43 (define @t621 () (tptp.hAPP @t582 @t68)) % 1.24/1.43 (define @t622 () (tptp.hAPP @t621 @t89)) % 1.24/1.43 (define @t623 () (tptp.hAPP @t582 @t64)) % 1.24/1.43 (define @t624 () (tptp.hAPP @t623 @t89)) % 1.24/1.43 (define @t625 () (tptp.c_Orderings_Oord__class_Oless @t8 @t624)) % 1.24/1.43 (define @t626 () (tptp.hBOOL (tptp.hAPP @t625 @t622))) % 1.24/1.43 (define @t627 () (@list @t89 @t68 @t64 @t8)) % 1.24/1.43 (define @t628 () (tptp.hBOOL (tptp.hAPP @t608 @t64))) % 1.24/1.43 (define @t629 () (@list @t89 @t64 @t8)) % 1.24/1.43 (define @t630 () (tptp.hAPP @t582 @t142)) % 1.24/1.43 (define @t631 () (tptp.hAPP @t630 @t47)) % 1.24/1.43 (define @t632 () (tptp.hAPP @t630 @t46)) % 1.24/1.43 (define @t633 () (tptp.hBOOL (tptp.hAPP @t608 @t142))) % 1.24/1.43 (define @t634 () (@list @t47 @t46 @t142 @t8)) % 1.24/1.43 (define @t635 () (tptp.hAPP @t623 @t113)) % 1.24/1.43 (define @t636 () (@list @t89 @t113 @t64 @t8)) % 1.24/1.43 (define @t637 () (tptp.hAPP @t623 @t570)) % 1.24/1.43 (define @t638 () (tptp.hBOOL (tptp.hAPP @t105 @t570))) % 1.24/1.43 (define @t639 () (@list @t64 @t570 @t89 @t8)) % 1.24/1.43 (define @t640 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Nat_Onat)) % 1.24/1.43 (define @t641 () (and (= @t118 @t640) (= @t92 @t640))) % 1.24/1.43 (define @t642 () (tptp.c_Power_Opower__class_Opower tptp.tc_Nat_Onat)) % 1.24/1.43 (define @t643 () (tptp.hAPP @t642 @t46)) % 1.24/1.43 (define @t644 () (tptp.hAPP @t642 @t25)) % 1.24/1.43 (define @t645 () (tptp.hAPP @t644 @t89)) % 1.24/1.43 (define @t646 () (tptp.hBOOL (tptp.hAPP @t313 @t46))) % 1.24/1.43 (define @t647 () (tptp.hBOOL (tptp.hAPP @t313 (tptp.hAPP @t643 @t92)))) % 1.24/1.43 (define @t648 () (@list @t92 @t46)) % 1.24/1.43 (define @t649 () (@list @t89 @t25)) % 1.24/1.43 (define @t650 () (tptp.hAPP (tptp.hAPP @t576 @t215) @t89)) % 1.24/1.43 (define @t651 () (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t642 @t113) @t89))) % 1.24/1.43 (define @t652 () (= @t113 @t14)) % 1.24/1.43 (define @t653 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Complex_Ocomplex)) % 1.24/1.43 (define @t654 () (tptp.hBOOL (tptp.hAPP @t616 @t46))) % 1.24/1.43 (define @t655 () (tptp.hAPP @t134 @t624)) % 1.24/1.43 (define @t656 () (tptp.hAPP @t107 @t624)) % 1.24/1.43 (define @t657 () (tptp.hAPP @t656 @t64)) % 1.24/1.43 (define @t658 () (@list @t89 @t8)) % 1.24/1.43 (define @t659 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t624)) % 1.24/1.43 (define @t660 () (tptp.hBOOL (tptp.hAPP @t607 @t64))) % 1.24/1.43 (define @t661 () (tptp.hAPP @t582 @t143)) % 1.24/1.43 (define @t662 () (tptp.hAPP @t661 @t92)) % 1.24/1.43 (define @t663 () (tptp.class_Power_Opower @t8)) % 1.24/1.43 (define @t664 () (tptp.hAPP @t582 @t82)) % 1.24/1.43 (define @t665 () (and @t663 (tptp.class_Rings_Osemiring__0 @t8))) % 1.24/1.43 (define @t666 () (tptp.hAPP @t623 @t486)) % 1.24/1.43 (define @t667 () (@list @t68 @t89 @t64 @t8)) % 1.24/1.43 (define @t668 () (tptp.hAPP @t621 @t486)) % 1.24/1.43 (define @t669 () (tptp.hAPP @t664 @t89)) % 1.24/1.43 (define @t670 () (tptp.hBOOL (tptp.hAPP @t340 @t587))) % 1.24/1.43 (define @t671 () (tptp.hBOOL (tptp.hAPP @t380 @t64))) % 1.24/1.43 (define @t672 () (@list @t64 @t89)) % 1.24/1.43 (define @t673 () (@var "B_r" $$unsorted)) % 1.24/1.43 (define @t674 () (tptp.hAPP @t576 @t673)) % 1.24/1.43 (define @t675 () (tptp.hBOOL (tptp.hAPP @t380 @t673))) % 1.24/1.43 (define @t676 () (@list @t673)) % 1.24/1.43 (define @t677 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_RealDef_Oreal)) % 1.24/1.43 (define @t678 () (tptp.hAPP @t677 @t7)) % 1.24/1.43 (define @t679 () (tptp.hAPP @t678 @t572)) % 1.24/1.43 (define @t680 () (tptp.hAPP @t101 @t104)) % 1.24/1.43 (define @t681 () (tptp.c_Transcendental_Oln @t7)) % 1.24/1.43 (define @t682 () (tptp.hAPP @t677 @t20)) % 1.24/1.43 (define @t683 () (@list @t20 @t40 @t7)) % 1.24/1.43 (define @t684 () (@list @t17 @t123 @t125)) % 1.24/1.43 (define @t685 () (tptp.c_Groups_Oplus__class_Oplus @t8)) % 1.24/1.43 (define @t686 () (tptp.hAPP @t685 @t68)) % 1.24/1.43 (define @t687 () (tptp.hAPP @t686 @t65)) % 1.24/1.43 (define @t688 () (tptp.hAPP @t685 @t64)) % 1.24/1.43 (define @t689 () (tptp.hAPP @t688 @t68)) % 1.24/1.43 (define @t690 () (tptp.hAPP @t685 @t689)) % 1.24/1.43 (define @t691 () (tptp.hAPP @t690 @t65)) % 1.24/1.43 (define @t692 () (= @t691 (tptp.hAPP @t688 @t687))) % 1.24/1.43 (define @t693 () (= @t142 @t145)) % 1.24/1.43 (define @t694 () (tptp.hAPP @t685 @t143)) % 1.24/1.43 (define @t695 () (tptp.hAPP @t694 @t145)) % 1.24/1.43 (define @t696 () (tptp.class_Groups_Ocancel__semigroup__add @t8)) % 1.24/1.43 (define @t697 () (tptp.hAPP @t685 @t145)) % 1.24/1.43 (define @t698 () (tptp.hAPP @t697 @t143)) % 1.24/1.43 (define @t699 () (tptp.hAPP @t685 @t142)) % 1.24/1.43 (define @t700 () (tptp.hAPP @t699 @t143)) % 1.24/1.43 (define @t701 () (tptp.hAPP @t688 @t65)) % 1.24/1.43 (define @t702 () (=> (= @t689 @t701) @t69)) % 1.24/1.43 (define @t703 () (tptp.hAPP @t685 @t65)) % 1.24/1.43 (define @t704 () (tptp.hAPP @t703 @t64)) % 1.24/1.43 (define @t705 () (tptp.hAPP @t686 @t64)) % 1.24/1.43 (define @t706 () (tptp.hAPP @t703 @t226)) % 1.24/1.43 (define @t707 () (tptp.hAPP @t688 @t706)) % 1.24/1.43 (define @t708 () (@list @t226 @t65 @t64 @t8)) % 1.24/1.43 (define @t709 () (tptp.hAPP @t685 @t701)) % 1.24/1.43 (define @t710 () (tptp.hAPP @t686 @t226)) % 1.24/1.43 (define @t711 () (tptp.hAPP @t685 @t7)) % 1.24/1.43 (define @t712 () (tptp.hAPP @t711 @t40)) % 1.24/1.43 (define @t713 () (tptp.c_RealVector_Onorm__class_Onorm @t8 @t712)) % 1.24/1.43 (define @t714 () (tptp.hAPP @t107 @t689)) % 1.24/1.43 (define @t715 () (= (tptp.hAPP @t714 @t65) (tptp.hAPP (tptp.hAPP @t685 @t172) @t133))) % 1.24/1.43 (define @t716 () (@var "V_e" $$unsorted)) % 1.24/1.43 (define @t717 () (@var "V_b_H" $$unsorted)) % 1.24/1.43 (define @t718 () (tptp.hAPP @t134 @t717)) % 1.24/1.43 (define @t719 () (tptp.hAPP @t685 @t135)) % 1.24/1.43 (define @t720 () (@list @t717 @t68 @t64 @t8)) % 1.24/1.43 (define @t721 () (@var "V_xa" $$unsorted)) % 1.24/1.43 (define @t722 () (tptp.hAPP @t107 @t721)) % 1.24/1.43 (define @t723 () (tptp.hAPP @t722 @t40)) % 1.24/1.43 (define @t724 () (tptp.hAPP @t722 @t7)) % 1.24/1.43 (define @t725 () (@list @t40 @t7 @t721 @t8)) % 1.24/1.43 (define @t726 () (@var "V_a_H" $$unsorted)) % 1.24/1.43 (define @t727 () (tptp.hAPP (tptp.hAPP @t107 @t726) @t68)) % 1.24/1.43 (define @t728 () (@list @t68 @t726 @t64 @t8)) % 1.24/1.43 (define @t729 () (@var "V_ya" $$unsorted)) % 1.24/1.43 (define @t730 () (tptp.hAPP @t613 @t729)) % 1.24/1.43 (define @t731 () (tptp.hAPP @t108 @t729)) % 1.24/1.43 (define @t732 () (@list @t729 @t40 @t7 @t8)) % 1.24/1.43 (define @t733 () (= @t145 @t562)) % 1.24/1.43 (define @t734 () (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t8)) % 1.24/1.43 (define @t735 () (@list @t562 @t145 @t142 @t143 @t8)) % 1.24/1.43 (define @t736 () (tptp.hAPP @t134 @t113)) % 1.24/1.43 (define @t737 () (tptp.hAPP @t685 @t736)) % 1.24/1.43 (define @t738 () (@var "V_w_2" $$unsorted)) % 1.24/1.43 (define @t739 () (tptp.hAPP @t107 @t46)) % 1.24/1.43 (define @t740 () (tptp.hAPP @t107 @t738)) % 1.24/1.43 (define @t741 () (tptp.hAPP @t703 @t68)) % 1.24/1.43 (define @t742 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t704) @t741))) % 1.24/1.43 (define @t743 () (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t8)) % 1.24/1.43 (define @t744 () (tptp.c_Orderings_Oord__class_Oless @t8 @t701)) % 1.24/1.43 (define @t745 () (tptp.hBOOL (tptp.hAPP @t744 @t687))) % 1.24/1.43 (define @t746 () (tptp.hBOOL (tptp.hAPP @t744 @t710))) % 1.24/1.43 (define @t747 () (=> @t438 @t746)) % 1.24/1.43 (define @t748 () (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t8)) % 1.24/1.43 (define @t749 () (tptp.hAPP @t697 @t142)) % 1.24/1.43 (define @t750 () (tptp.hAPP @t699 @t145)) % 1.24/1.43 (define @t751 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t704) @t741))) % 1.24/1.43 (define @t752 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t701)) % 1.24/1.43 (define @t753 () (tptp.hBOOL (tptp.hAPP @t752 @t687))) % 1.24/1.43 (define @t754 () (tptp.class_Groups_Oordered__ab__semigroup__add @t8)) % 1.24/1.43 (define @t755 () (= (tptp.hAPP @t688 @t82) @t64)) % 1.24/1.43 (define @t756 () (tptp.class_Groups_Ocomm__monoid__add @t8)) % 1.24/1.43 (define @t757 () (tptp.class_Groups_Omonoid__add @t8)) % 1.24/1.43 (define @t758 () (tptp.hAPP @t694 @t143)) % 1.24/1.43 (define @t759 () (tptp.class_Groups_Olinordered__ab__group__add @t8)) % 1.24/1.43 (define @t760 () (@list @t143 @t8)) % 1.24/1.43 (define @t761 () (= (tptp.hAPP (tptp.hAPP @t685 @t82) @t64) @t64)) % 1.24/1.43 (define @t762 () (tptp.hAPP @t677 @t572)) % 1.24/1.43 (define @t763 () (tptp.class_Groups_Oordered__comm__monoid__add @t8)) % 1.24/1.43 (define @t764 () (= @t47 @t82)) % 1.24/1.43 (define @t765 () (and @t83 @t764)) % 1.24/1.43 (define @t766 () (tptp.hBOOL (tptp.hAPP @t70 @t701))) % 1.24/1.43 (define @t767 () (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t758) @t82)) (tptp.hBOOL (tptp.hAPP @t386 @t82)))) % 1.24/1.43 (define @t768 () (tptp.hBOOL (tptp.hAPP @t388 @t689))) % 1.24/1.43 (define @t769 () (=> @t401 @t768)) % 1.24/1.43 (define @t770 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t689) @t82))) % 1.24/1.43 (define @t771 () (=> @t405 @t770)) % 1.24/1.43 (define @t772 () (tptp.hBOOL (tptp.hAPP @t338 @t701))) % 1.24/1.43 (define @t773 () (=> @t344 @t772)) % 1.24/1.43 (define @t774 () (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP @t739 @t46)) (tptp.hAPP (tptp.hAPP @t107 @t47) @t47))) % 1.24/1.43 (define @t775 () (tptp.hAPP @t107 @t317)) % 1.24/1.43 (define @t776 () (tptp.hAPP @t688 @t587)) % 1.24/1.43 (define @t777 () (tptp.hAPP (tptp.hAPP @t107 @t776) @t113)) % 1.24/1.43 (define @t778 () (tptp.hAPP @t685 @t113)) % 1.24/1.43 (define @t779 () (tptp.hAPP (tptp.hAPP @t685 @t587) @t587)) % 1.24/1.43 (define @t780 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t681)) % 1.24/1.43 (define @t781 () (tptp.c_Transcendental_Oln @t47)) % 1.24/1.43 (define @t782 () (tptp.c_Transcendental_Oln @t46)) % 1.24/1.43 (define @t783 () (tptp.hBOOL (tptp.hAPP @t380 @t46))) % 1.24/1.43 (define @t784 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t782)) % 1.24/1.43 (define @t785 () (tptp.hAPP (tptp.hAPP @t685 @t288) (tptp.hAPP @t613 @t40))) % 1.24/1.43 (define @t786 () (@var "V_one_2" $$unsorted)) % 1.24/1.43 (define @t787 () (@var "V_times_2" $$unsorted)) % 1.24/1.43 (define @t788 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t8 @t786 @t787) @t143)) % 1.24/1.43 (define @t789 () (tptp.hAPP (tptp.hAPP @t677 @t104) @t572)) % 1.24/1.43 (define @t790 () (tptp.hAPP @t101 @t462)) % 1.24/1.43 (define @t791 () (tptp.hAPP @t101 @t464)) % 1.24/1.43 (define @t792 () (tptp.hAPP (tptp.hAPP @t677 (tptp.hAPP @t791 @t461)) (tptp.hAPP @t790 @t463))) % 1.24/1.43 (define @t793 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Complex_Ocomplex)) % 1.24/1.43 (define @t794 () (tptp.hAPP (tptp.hAPP @t793 @t7) @t40)) % 1.24/1.43 (define @t795 () (tptp.hBOOL (tptp.hAPP @t55 @t681))) % 1.24/1.43 (define @t796 () (tptp.hBOOL (tptp.hAPP @t380 @t681))) % 1.24/1.43 (define @t797 () (@var "V_v" $$unsorted)) % 1.24/1.43 (define @t798 () (@var "V_u" $$unsorted)) % 1.24/1.43 (define @t799 () (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP (tptp.hAPP @t107 @t798) @t7)) (tptp.hAPP (tptp.hAPP @t107 @t797) @t40))) % 1.24/1.43 (define @t800 () (= (tptp.hAPP (tptp.hAPP @t685 @t798) @t797) @t587)) % 1.24/1.43 (define @t801 () (tptp.hBOOL (tptp.hAPP @t150 @t797))) % 1.24/1.43 (define @t802 () (tptp.hBOOL (tptp.hAPP @t150 @t798))) % 1.24/1.43 (define @t803 () (@list @t797 @t798 @t40 @t64 @t7 @t8)) % 1.24/1.43 (define @t804 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Nat_Onat)) % 1.24/1.43 (define @t805 () (tptp.hAPP @t804 @t89)) % 1.24/1.43 (define @t806 () (tptp.hAPP @t805 @t640)) % 1.24/1.43 (define @t807 () (tptp.hAPP @t804 @t294)) % 1.24/1.43 (define @t808 () (tptp.c_Power_Opower__class_Opower tptp.tc_Int_Oint)) % 1.24/1.43 (define @t809 () (tptp.hAPP @t808 @t7)) % 1.24/1.43 (define @t810 () (tptp.hAPP @t809 @t40)) % 1.24/1.43 (define @t811 () (tptp.c_Groups_Otimes__class_Otimes tptp.tc_Int_Oint)) % 1.24/1.43 (define @t812 () (tptp.hAPP @t804 @t40)) % 1.24/1.43 (define @t813 () (tptp.hAPP @t812 @t20)) % 1.24/1.43 (define @t814 () (tptp.hAPP @t804 @t113)) % 1.24/1.43 (define @t815 () (tptp.hAPP @t804 @t118)) % 1.24/1.43 (define @t816 () (tptp.hAPP @t815 @t92)) % 1.24/1.43 (define @t817 () (tptp.hAPP @t814 @t89)) % 1.24/1.43 (define @t818 () (tptp.hAPP @t814 @t486)) % 1.24/1.43 (define @t819 () (tptp.hAPP (tptp.hAPP @t804 @t487) @t89)) % 1.24/1.43 (define @t820 () (tptp.c_Nat_OSuc @t817)) % 1.24/1.43 (define @t821 () (tptp.hBOOL (tptp.hAPP @t357 @t813))) % 1.24/1.43 (define @t822 () (@list @t40 @t20 @t7)) % 1.24/1.43 (define @t823 () (tptp.hAPP @t804 @t25)) % 1.24/1.43 (define @t824 () (tptp.hAPP @t823 @t28)) % 1.24/1.43 (define @t825 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t824)) % 1.24/1.43 (define @t826 () (tptp.hAPP @t804 @t24)) % 1.24/1.43 (define @t827 () (tptp.hAPP @t826 @t89)) % 1.24/1.43 (define @t828 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t24) @t202))) % 1.24/1.43 (define @t829 () (tptp.hAPP @t804 @t28)) % 1.24/1.43 (define @t830 () (tptp.hAPP @t829 @t202)) % 1.24/1.43 (define @t831 () (tptp.hAPP @t823 @t24)) % 1.24/1.43 (define @t832 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t831)) % 1.24/1.43 (define @t833 () (tptp.hAPP @t829 @t24)) % 1.24/1.43 (define @t834 () (tptp.hAPP @t814 @t28)) % 1.24/1.43 (define @t835 () (@list @t113 @t28 @t25)) % 1.24/1.43 (define @t836 () (tptp.hAPP @t829 @t113)) % 1.24/1.43 (define @t837 () (tptp.hAPP @t804 @t189)) % 1.24/1.43 (define @t838 () (tptp.hAPP @t837 @t92)) % 1.24/1.43 (define @t839 () (tptp.hAPP @t837 @t118)) % 1.24/1.43 (define @t840 () (tptp.hAPP @t829 @t25)) % 1.24/1.43 (define @t841 () (tptp.hBOOL (tptp.hAPP @t299 @t813))) % 1.24/1.43 (define @t842 () (tptp.hBOOL (tptp.hAPP @t207 @t89))) % 1.24/1.43 (define @t843 () (tptp.hAPP @t814 @t24)) % 1.24/1.43 (define @t844 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t843) @t89))) % 1.24/1.43 (define @t845 () (@list @t89 @t24 @t113)) % 1.24/1.43 (define @t846 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t831)) % 1.24/1.43 (define @t847 () (@var "B_k" $$unsorted)) % 1.24/1.43 (define @t848 () (tptp.hAPP @t815 @t847)) % 1.24/1.43 (define @t849 () (@list @t847)) % 1.24/1.43 (define @t850 () (@var "V_l_2" $$unsorted)) % 1.24/1.43 (define @t851 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t189)) % 1.24/1.43 (define @t852 () (@list @t850 @t189)) % 1.24/1.43 (define @t853 () (tptp.hAPP @t805 @t113)) % 1.24/1.43 (define @t854 () (tptp.hAPP @t804 (tptp.hAPP @t203 @t798))) % 1.24/1.43 (define @t855 () (tptp.hAPP @t804 (tptp.hAPP @t204 @t798))) % 1.24/1.43 (define @t856 () (tptp.hAPP @t210 @t89)) % 1.24/1.43 (define @t857 () (tptp.hAPP @t210 @t113)) % 1.24/1.43 (define @t858 () (@list @t89 @t113 @t24)) % 1.24/1.43 (define @t859 () (tptp.hAPP @t183 @t24)) % 1.24/1.43 (define @t860 () (tptp.c_Groups_Oplus__class_Oplus @t274)) % 1.24/1.43 (define @t861 () (tptp.hAPP @t860 @t307)) % 1.24/1.43 (define @t862 () (tptp.hAPP @t804 @t7)) % 1.24/1.43 (define @t863 () (tptp.hAPP @t805 @t24)) % 1.24/1.43 (define @t864 () (tptp.c_SEQ_OBseq @t8 (tptp.c_COMBB tptp.tc_Nat_Onat @t8 tptp.tc_Nat_Onat @t233 (tptp.c_COMBC tptp.tc_Nat_Onat tptp.tc_Nat_Onat tptp.tc_Nat_Onat @t804 @t189)))) % 1.24/1.43 (define @t865 () (@list @t189 @t233 @t8)) % 1.24/1.43 (define @t866 () (or (and @t524 @t95) (and @t185 @t523))) % 1.24/1.43 (define @t867 () (@list @t113 @t25)) % 1.24/1.43 (define @t868 () (tptp.hAPP (tptp.hAPP @t677 @t464) @t463)) % 1.24/1.43 (define @t869 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Complex_Ocomplex)) % 1.24/1.43 (define @t870 () (tptp.hAPP (tptp.hAPP @t869 @t7) @t40)) % 1.24/1.43 (define @t871 () (tptp.hAPP (tptp.hAPP @t677 @t462) @t461)) % 1.24/1.43 (define @t872 () (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t20)) % 1.24/1.43 (define @t873 () (@list @t20 @t17)) % 1.24/1.43 (define @t874 () (tptp.hAPP @t804 @t289)) % 1.24/1.43 (define @t875 () (tptp.hAPP @t678 @t302)) % 1.24/1.43 (define @t876 () (@var "B_z" $$unsorted)) % 1.24/1.43 (define @t877 () (tptp.c_Power_Opower__class_Opower tptp.tc_Complex_Ocomplex)) % 1.24/1.43 (define @t878 () (@var "B_i" $$unsorted)) % 1.24/1.43 (define @t879 () (tptp.hBOOL (tptp.hAPP @t363 @t878))) % 1.24/1.43 (define @t880 () (@list @t878)) % 1.24/1.43 (define @t881 () (tptp.hBOOL (tptp.hAPP @t363 @t14))) % 1.24/1.43 (define @t882 () (not @t881)) % 1.24/1.43 (define @t883 () (tptp.hAPP @t680 @t64)) % 1.24/1.43 (define @t884 () (tptp.c_Complex_Ocis @t883)) % 1.24/1.43 (define @t885 () (tptp.c_Complex_Ocis @t64)) % 1.24/1.43 (define @t886 () (tptp.hAPP @t793 @t885)) % 1.24/1.43 (define @t887 () (tptp.c_Groups_Oone__class_Oone tptp.tc_Int_Oint)) % 1.24/1.43 (define @t888 () (tptp.hAPP @t811 @t20)) % 1.24/1.43 (define @t889 () (tptp.c_Groups_Ozero__class_Ozero tptp.tc_Int_Oint)) % 1.24/1.43 (define @t890 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t889)) % 1.24/1.43 (define @t891 () (tptp.hAPP @t811 @t123)) % 1.24/1.43 (define @t892 () (tptp.hAPP @t891 @t17)) % 1.24/1.43 (define @t893 () (tptp.hAPP @t811 @t125)) % 1.24/1.43 (define @t894 () (tptp.hAPP @t893 @t17)) % 1.24/1.43 (define @t895 () (tptp.c_Groups_Oplus__class_Oplus tptp.tc_Int_Oint)) % 1.24/1.43 (define @t896 () (tptp.hAPP @t895 @t125)) % 1.24/1.43 (define @t897 () (tptp.hAPP @t896 @t123)) % 1.24/1.43 (define @t898 () (tptp.hAPP @t811 @t17)) % 1.24/1.43 (define @t899 () (tptp.hAPP @t898 @t123)) % 1.24/1.43 (define @t900 () (tptp.hAPP @t898 @t125)) % 1.24/1.43 (define @t901 () (@list @t123 @t125 @t17)) % 1.24/1.43 (define @t902 () (tptp.hAPP @t811 @t24)) % 1.24/1.43 (define @t903 () (tptp.hBOOL (tptp.hAPP @t890 @t24))) % 1.24/1.43 (define @t904 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t25) @t28))) % 1.24/1.43 (define @t905 () (tptp.hAPP (tptp.hAPP @t877 @t885) @t89)) % 1.24/1.43 (define @t906 () (@list @t89 @t64)) % 1.24/1.43 (define @t907 () (tptp.hAPP @t677 @t64)) % 1.24/1.43 (define @t908 () (tptp.hAPP @t907 @t68)) % 1.24/1.43 (define @t909 () (tptp.c_Complex_Orcis @t317 @t64)) % 1.24/1.43 (define @t910 () (tptp.hAPP @t895 @t887)) % 1.24/1.43 (define @t911 () (tptp.hAPP @t910 @t20)) % 1.24/1.43 (define @t912 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t738)) % 1.24/1.43 (define @t913 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t738)) % 1.24/1.43 (define @t914 () (tptp.hBOOL (tptp.hAPP @t913 (tptp.hAPP (tptp.hAPP @t895 @t426) @t887)))) % 1.24/1.43 (define @t915 () (@list @t426 @t738)) % 1.24/1.43 (define @t916 () (tptp.hBOOL (tptp.hAPP @t913 @t426))) % 1.24/1.43 (define @t917 () (tptp.hAPP @t895 @t17)) % 1.24/1.43 (define @t918 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t889)) % 1.24/1.43 (define @t919 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t426)) % 1.24/1.43 (define @t920 () (@list @t426)) % 1.24/1.43 (define @t921 () (tptp.hAPP @t895 @t20)) % 1.24/1.43 (define @t922 () (tptp.hAPP @t895 @t7)) % 1.24/1.43 (define @t923 () (tptp.hAPP @t895 @t40)) % 1.24/1.43 (define @t924 () (tptp.hAPP @t917 @t20)) % 1.24/1.43 (define @t925 () (tptp.hAPP @t895 @t24)) % 1.24/1.43 (define @t926 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t25)) % 1.24/1.43 (define @t927 () (tptp.hBOOL (tptp.hAPP @t926 @t28))) % 1.24/1.43 (define @t928 () (@var "V_z_H" $$unsorted)) % 1.24/1.43 (define @t929 () (@var "V_w_H" $$unsorted)) % 1.24/1.43 (define @t930 () (tptp.c_Transcendental_Ocos @t64)) % 1.24/1.43 (define @t931 () (@list @t64 @t317)) % 1.24/1.43 (define @t932 () (tptp.c_Transcendental_Ocos @t7)) % 1.24/1.43 (define @t933 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t887)) % 1.24/1.43 (define @t934 () (@list @t64)) % 1.24/1.43 (define @t935 () (@var "V_r2" $$unsorted)) % 1.24/1.43 (define @t936 () (@var "V_r1" $$unsorted)) % 1.24/1.43 (define @t937 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t303)) % 1.24/1.43 (define @t938 () (tptp.hBOOL (tptp.hAPP @t918 @t317))) % 1.24/1.43 (define @t939 () (= @t64 (tptp.hAPP (tptp.hAPP @t895 @t317) (tptp.hAPP (tptp.hAPP @t811 @t64) @t303)))) % 1.24/1.43 (define @t940 () (tptp.hBOOL (tptp.hAPP @t890 @t64))) % 1.24/1.43 (define @t941 () (@list @t303 @t317 @t64)) % 1.24/1.43 (define @t942 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t317)) % 1.24/1.43 (define @t943 () (@var "V_q_H" $$unsorted)) % 1.24/1.43 (define @t944 () (tptp.hBOOL (tptp.hAPP @t890 @t717))) % 1.24/1.43 (define @t945 () (@var "V_r_H" $$unsorted)) % 1.24/1.43 (define @t946 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t945)) % 1.24/1.43 (define @t947 () (tptp.hBOOL (tptp.hAPP @t946 @t717))) % 1.24/1.43 (define @t948 () (tptp.hAPP (tptp.hAPP @t895 (tptp.hAPP (tptp.hAPP @t811 @t717) @t943)) @t945)) % 1.24/1.43 (define @t949 () (tptp.hBOOL (tptp.hAPP @t918 @t948))) % 1.24/1.43 (define @t950 () (@list @t945 @t943 @t717)) % 1.24/1.43 (define @t951 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t17)) % 1.24/1.43 (define @t952 () (tptp.hBOOL (tptp.hAPP @t951 @t20))) % 1.24/1.43 (define @t953 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t20) @t17))) % 1.24/1.43 (define @t954 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t943)) % 1.24/1.43 (define @t955 () (tptp.hBOOL (tptp.hAPP @t954 @t303))) % 1.24/1.43 (define @t956 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t717) @t68))) % 1.24/1.43 (define @t957 () (tptp.hBOOL (tptp.hAPP @t918 @t945))) % 1.24/1.43 (define @t958 () (tptp.hBOOL (tptp.hAPP @t942 @t68))) % 1.24/1.43 (define @t959 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t948) @t889))) % 1.24/1.43 (define @t960 () (tptp.hAPP @t811 @t68)) % 1.24/1.43 (define @t961 () (tptp.hAPP (tptp.hAPP @t895 (tptp.hAPP @t960 @t303)) @t317)) % 1.24/1.43 (define @t962 () (= @t961 @t948)) % 1.24/1.43 (define @t963 () (@list @t945 @t943 @t717 @t317 @t303 @t68)) % 1.24/1.43 (define @t964 () (tptp.hBOOL (tptp.hAPP @t937 @t943))) % 1.24/1.43 (define @t965 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t68)) % 1.24/1.43 (define @t966 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t895 (tptp.hAPP @t960 @t943)) @t945)) @t961))) % 1.24/1.43 (define @t967 () (@list @t317 @t303 @t945 @t943 @t68)) % 1.24/1.43 (define @t968 () (tptp.hBOOL (tptp.hAPP @t918 @t7))) % 1.24/1.43 (define @t969 () (tptp.hBOOL (tptp.hAPP @t918 @t40))) % 1.24/1.43 (define @t970 () (tptp.c_Transcendental_Osin @t7)) % 1.24/1.43 (define @t971 () (tptp.c_Transcendental_Osin @t64)) % 1.24/1.43 (define @t972 () (= @t970 @t54)) % 1.24/1.43 (define @t973 () (tptp.c_Transcendental_Osin @t40)) % 1.24/1.43 (define @t974 () (tptp.hAPP @t101 @t932)) % 1.24/1.43 (define @t975 () (tptp.hAPP @t974 @t973)) % 1.24/1.43 (define @t976 () (tptp.c_Transcendental_Ocos @t40)) % 1.24/1.43 (define @t977 () (tptp.hAPP @t101 @t970)) % 1.24/1.43 (define @t978 () (tptp.hAPP @t977 @t976)) % 1.24/1.43 (define @t979 () (tptp.hAPP @t678 @t40)) % 1.24/1.43 (define @t980 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 @t640)) % 1.24/1.43 (define @t981 () (tptp.hAPP @t582 @t113)) % 1.24/1.43 (define @t982 () (tptp.hAPP @t981 @t89)) % 1.24/1.43 (define @t983 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t143 @t142)) % 1.24/1.43 (define @t984 () (tptp.class_Groups_Oordered__ab__group__add @t8)) % 1.24/1.43 (define @t985 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t92 @t189)) % 1.24/1.43 (define @t986 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t189)) % 1.24/1.43 (define @t987 () (tptp.hBOOL (tptp.hAPP @t851 @t92))) % 1.24/1.43 (define @t988 () (tptp.hBOOL (tptp.hAPP @t851 @t118))) % 1.24/1.43 (define @t989 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 @t89)) % 1.24/1.43 (define @t990 () (@list @t202 @t89 @t113)) % 1.24/1.43 (define @t991 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t202 @t113)) % 1.24/1.43 (define @t992 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t202 @t89)) % 1.24/1.43 (define @t993 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t145)) % 1.24/1.43 (define @t994 () (= @t983 (tptp.c_Groups_Ominus__class_Ominus @t8 @t145 @t562))) % 1.24/1.43 (define @t995 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t64 @t68)) % 1.24/1.43 (define @t996 () (tptp.c_RealVector_Onorm__class_Onorm @t8 @t995)) % 1.24/1.43 (define @t997 () (tptp.c_RealVector_Onorm__class_Onorm @t8 @t68)) % 1.24/1.43 (define @t998 () (tptp.c_RealVector_Onorm__class_Onorm @t8 @t64)) % 1.24/1.43 (define @t999 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t998 @t997)) % 1.24/1.43 (define @t1000 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t999)) % 1.24/1.43 (define @t1001 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t989)) % 1.24/1.43 (define @t1002 () (= @t989 @t14)) % 1.24/1.43 (define @t1003 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t487 @t89)) % 1.24/1.43 (define @t1004 () (@var "V_j_2" $$unsorted)) % 1.24/1.43 (define @t1005 () (@var "V_i_2" $$unsorted)) % 1.24/1.43 (define @t1006 () (tptp.hAPP (tptp.hAPP @t804 @t1005) @t189)) % 1.24/1.43 (define @t1007 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1004 @t189)) % 1.24/1.43 (define @t1008 () (@list @t189 @t1004 @t1005)) % 1.24/1.43 (define @t1009 () (= (tptp.hAPP @t805 @t989) @t113)) % 1.24/1.43 (define @t1010 () (@list @t65 @t68 @t64)) % 1.24/1.43 (define @t1011 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t28 @t24)) % 1.24/1.43 (define @t1012 () (tptp.hBOOL (tptp.hAPP @t207 @t28))) % 1.24/1.43 (define @t1013 () (@list @t25 @t28 @t24)) % 1.24/1.43 (define @t1014 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1004)) % 1.24/1.43 (define @t1015 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t824 @t24)) % 1.24/1.43 (define @t1016 () (tptp.hAPP @t823 @t1011)) % 1.24/1.43 (define @t1017 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1005)) % 1.24/1.43 (define @t1018 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1004 @t1005)) % 1.24/1.43 (define @t1019 () (tptp.hBOOL (tptp.hAPP @t1017 @t1004))) % 1.24/1.43 (define @t1020 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t840 @t24)) % 1.24/1.43 (define @t1021 () (tptp.hAPP (tptp.hAPP @t804 @t1011) @t25)) % 1.24/1.43 (define @t1022 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 @t640)) % 1.24/1.43 (define @t1023 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t7 @t40)) % 1.24/1.43 (define @t1024 () (tptp.hAPP @t107 @t1023)) % 1.24/1.43 (define @t1025 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t68 @t64)) % 1.24/1.43 (define @t1026 () (@var "V_B_2" $$unsorted)) % 1.24/1.43 (define @t1027 () (@var "V_A_2" $$unsorted)) % 1.24/1.43 (define @t1028 () (tptp.class_Groups_Oab__group__add @t8)) % 1.24/1.43 (define @t1029 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t28)) % 1.24/1.43 (define @t1030 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1029 @t24)) % 1.24/1.43 (define @t1031 () (= @t983 @t82)) % 1.24/1.43 (define @t1032 () (tptp.class_Groups_Ogroup__add @t8)) % 1.24/1.43 (define @t1033 () (tptp.hAPP @t107 (tptp.c_Groups_Ominus__class_Ominus @t8 @t7 @t64))) % 1.24/1.43 (define @t1034 () (tptp.hAPP @t1033 @t68)) % 1.24/1.43 (define @t1035 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t40 @t68)) % 1.24/1.43 (define @t1036 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t109 @t135)) % 1.24/1.43 (define @t1037 () (tptp.class_Rings_Oring @t8)) % 1.24/1.43 (define @t1038 () (@list @t68 @t64 @t40 @t7 @t8)) % 1.24/1.43 (define @t1039 () (@var "V_e_2" $$unsorted)) % 1.24/1.43 (define @t1040 () (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP (tptp.hAPP @t107 (tptp.c_Groups_Ominus__class_Ominus @t8 @t142 @t143)) @t1039)) @t562)) % 1.24/1.43 (define @t1041 () (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP @t391 @t1039)) @t562)) % 1.24/1.43 (define @t1042 () (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP @t158 @t1039)) @t145)) % 1.24/1.43 (define @t1043 () (= @t1042 @t1041)) % 1.24/1.43 (define @t1044 () (@list @t562 @t142 @t145 @t1039 @t143 @t8)) % 1.24/1.43 (define @t1045 () (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP (tptp.hAPP @t107 @t983) @t1039)) @t145)) % 1.24/1.43 (define @t1046 () (tptp.hAPP @t826 @t113)) % 1.24/1.43 (define @t1047 () (tptp.hAPP @t685 @t995)) % 1.24/1.43 (define @t1048 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t1042) @t1041))) % 1.24/1.43 (define @t1049 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t1042) @t1041))) % 1.24/1.43 (define @t1050 () (@var "B_d" $$unsorted)) % 1.24/1.43 (define @t1051 () (tptp.hBOOL (tptp.hAPP @t363 @t1050))) % 1.24/1.43 (define @t1052 () (= @t143 (tptp.hAPP (tptp.hAPP @t804 @t142) @t1050))) % 1.24/1.43 (define @t1053 () (@list @t1050)) % 1.24/1.43 (define @t1054 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t143) @t142))) % 1.24/1.43 (define @t1055 () (tptp.hBOOL (tptp.hAPP @t363 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t143 @t142)))) % 1.24/1.43 (define @t1056 () (@list @t142 @t143 @t363)) % 1.24/1.43 (define @t1057 () (tptp.c_Nat_OSuc @t28)) % 1.24/1.43 (define @t1058 () (tptp.c_Nat_OSuc @t1011)) % 1.24/1.43 (define @t1059 () (@list @t113 @t28 @t24)) % 1.24/1.43 (define @t1060 () (@var "V_u_2" $$unsorted)) % 1.24/1.43 (define @t1061 () (tptp.hAPP (tptp.hAPP @t804 (tptp.hAPP (tptp.hAPP @t182 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1005 @t1004)) @t1060)) @t118)) % 1.24/1.43 (define @t1062 () (tptp.hAPP (tptp.hAPP @t804 (tptp.hAPP (tptp.hAPP @t182 @t1004) @t1060)) @t92)) % 1.24/1.43 (define @t1063 () (tptp.hAPP (tptp.hAPP @t804 (tptp.hAPP (tptp.hAPP @t182 @t1005) @t1060)) @t118)) % 1.24/1.43 (define @t1064 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1063) @t1062))) % 1.24/1.43 (define @t1065 () (tptp.hBOOL (tptp.hAPP @t1014 @t1005))) % 1.24/1.43 (define @t1066 () (@list @t92 @t118 @t1060 @t1005 @t1004)) % 1.24/1.43 (define @t1067 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.hAPP @t855 @t113) (tptp.hAPP @t854 @t89))) % 1.24/1.43 (define @t1068 () (= @t1063 @t1062)) % 1.24/1.43 (define @t1069 () (tptp.hAPP (tptp.hAPP @t804 (tptp.hAPP (tptp.hAPP @t182 @t1018) @t1060)) @t92)) % 1.24/1.43 (define @t1070 () (@list @t92 @t118 @t1060 @t1004 @t1005)) % 1.24/1.43 (define @t1071 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t68 @t226)) % 1.24/1.43 (define @t1072 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t64 @t65)) % 1.24/1.43 (define @t1073 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t689 @t706)) % 1.24/1.43 (define @t1074 () (tptp.c_Nat_OSuc @t980)) % 1.24/1.43 (define @t1075 () (not @t652)) % 1.24/1.43 (define @t1076 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1063) @t1062))) % 1.24/1.43 (define @t1077 () (tptp.hAPP @t642 @t307)) % 1.24/1.43 (define @t1078 () (tptp.hAPP @t1077 @t113)) % 1.24/1.43 (define @t1079 () (@var "V_M_2" $$unsorted)) % 1.24/1.43 (define @t1080 () (tptp.hAPP @t233 @t1079)) % 1.24/1.43 (define @t1081 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t1079) @t12))) % 1.24/1.43 (define @t1082 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t125 @t123)) % 1.24/1.43 (define @t1083 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t464 @t463)) % 1.24/1.43 (define @t1084 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t7 @t40)) % 1.24/1.43 (define @t1085 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t462 @t461)) % 1.24/1.43 (define @t1086 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t189)) % 1.24/1.43 (define @t1087 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t7 @t40)) % 1.24/1.43 (define @t1088 () (tptp.c_Transcendental_Osin @t1087)) % 1.24/1.43 (define @t1089 () (tptp.hAPP @t101 @t973)) % 1.24/1.43 (define @t1090 () (tptp.hAPP @t101 @t976)) % 1.24/1.43 (define @t1091 () (tptp.hAPP @t977 @t973)) % 1.24/1.43 (define @t1092 () (tptp.hAPP @t974 @t976)) % 1.24/1.43 (define @t1093 () (tptp.c_Transcendental_Ocos @t1087)) % 1.24/1.43 (define @t1094 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t7 @t302)) % 1.24/1.43 (define @t1095 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t302) @t7))) % 1.24/1.43 (define @t1096 () (@list @t7 @t64)) % 1.24/1.43 (define @t1097 () (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.hAPP @t791 @t463) (tptp.hAPP @t790 @t461))) % 1.24/1.43 (define @t1098 () (tptp.hAPP @t869 @t20)) % 1.24/1.43 (define @t1099 () (tptp.hAPP @t808 @t24)) % 1.24/1.43 (define @t1100 () (tptp.c_Divides_Odiv__class_Odiv @t8 @t64 @t68)) % 1.24/1.43 (define @t1101 () (tptp.c_Divides_Odiv__class_Odiv @t8 @t179 @t178)) % 1.24/1.43 (define @t1102 () (= @t65 @t82)) % 1.24/1.43 (define @t1103 () (not @t1102)) % 1.24/1.43 (define @t1104 () (=> @t1103 (= @t1101 @t1100))) % 1.24/1.43 (define @t1105 () (tptp.class_Divides_Osemiring__div @t8)) % 1.24/1.43 (define @t1106 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t143 @t142)) % 1.24/1.43 (define @t1107 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1106) @t889))) % 1.24/1.43 (define @t1108 () (tptp.hBOOL (tptp.hAPP @t890 @t142))) % 1.24/1.43 (define @t1109 () (@list @t143 @t142)) % 1.24/1.43 (define @t1110 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t142) @t889))) % 1.24/1.43 (define @t1111 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t64 @t68)) % 1.24/1.43 (define @t1112 () (tptp.hBOOL (tptp.hAPP @t890 @t68))) % 1.24/1.43 (define @t1113 () (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t64)) % 1.24/1.43 (define @t1114 () (tptp.hBOOL (tptp.hAPP @t1113 @t889))) % 1.24/1.43 (define @t1115 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t726 @t68)) % 1.24/1.43 (define @t1116 () (tptp.hBOOL (tptp.hAPP @t965 @t889))) % 1.24/1.43 (define @t1117 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t64)) % 1.24/1.43 (define @t1118 () (tptp.hBOOL (tptp.hAPP @t1117 @t726))) % 1.24/1.43 (define @t1119 () (@list @t68 @t726 @t64)) % 1.24/1.43 (define @t1120 () (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1111)) % 1.24/1.43 (define @t1121 () (= @t1111 @t889)) % 1.24/1.43 (define @t1122 () (tptp.hBOOL (tptp.hAPP @t1117 @t889))) % 1.24/1.43 (define @t1123 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t64 @t717)) % 1.24/1.43 (define @t1124 () (@list @t68 @t717 @t64)) % 1.24/1.43 (define @t1125 () (tptp.hBOOL (tptp.hAPP @t1120 @t889))) % 1.24/1.43 (define @t1126 () (tptp.hBOOL (tptp.hAPP @t918 @t1106))) % 1.24/1.43 (define @t1127 () (tptp.hBOOL (tptp.hAPP @t918 @t64))) % 1.24/1.43 (define @t1128 () (tptp.hBOOL (tptp.hAPP @t918 @t143))) % 1.24/1.43 (define @t1129 () (@list @t142 @t143)) % 1.24/1.43 (define @t1130 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1005 @t189)) % 1.24/1.43 (define @t1131 () (tptp.hBOOL (tptp.hAPP @t890 @t189))) % 1.24/1.43 (define @t1132 () (= @t189 @t889)) % 1.24/1.43 (define @t1133 () (tptp.hAPP @t703 @t1100)) % 1.24/1.43 (define @t1134 () (tptp.hAPP (tptp.hAPP @t685 @t1100) @t587)) % 1.24/1.43 (define @t1135 () (@var "V_b_1" $$unsorted)) % 1.24/1.43 (define @t1136 () (@var "V_a_1" $$unsorted)) % 1.24/1.43 (define @t1137 () (@var "V_r_1" $$unsorted)) % 1.24/1.43 (define @t1138 () (tptp.hBOOL (tptp.hAPP @t890 @t1135))) % 1.24/1.43 (define @t1139 () (= @t92 (tptp.hAPP (tptp.hAPP @t895 (tptp.hAPP (tptp.hAPP @t811 @t189) @t878)) @t519))) % 1.24/1.43 (define @t1140 () (@list @t189 @t92 @t363)) % 1.24/1.43 (define @t1141 () (tptp.c_Nat__Transfer_Otsub @t7 @t40)) % 1.24/1.43 (define @t1142 () (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t40) @t7))) % 1.24/1.43 (define @t1143 () (=> @t1142 (= @t1141 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t7 @t40)))) % 1.24/1.43 (define @t1144 () (tptp.c_Groups_Oabs__class_Oabs @t8 @t1025)) % 1.24/1.43 (define @t1145 () (tptp.c_Groups_Oabs__class_Oabs @t8 @t68)) % 1.24/1.43 (define @t1146 () (tptp.c_Groups_Oabs__class_Oabs @t8 @t64)) % 1.24/1.43 (define @t1147 () (tptp.c_Groups_Ominus__class_Ominus @t8 @t1146 @t1145)) % 1.24/1.43 (define @t1148 () (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t1147)) % 1.24/1.43 (define @t1149 () (tptp.class_Groups_Oordered__ab__group__add__abs @t8)) % 1.24/1.43 (define @t1150 () (tptp.c_Groups_Oabs__class_Oabs @t8 @t995)) % 1.24/1.43 (define @t1151 () (tptp.hAPP (tptp.hAPP @t685 @t1146) @t1145)) % 1.24/1.43 (define @t1152 () (@var "V_ra_2" $$unsorted)) % 1.24/1.43 (define @t1153 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t113 @t89)) % 1.24/1.43 (define @t1154 () (=> @t372 (= @t1153 @t14))) % 1.24/1.43 (define @t1155 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t857 @t856)) % 1.24/1.43 (define @t1156 () (= @t1155 @t1153)) % 1.24/1.43 (define @t1157 () (= @t24 @t14)) % 1.24/1.43 (define @t1158 () (tptp.c_Orderings_Oord__class_Oless @t8 @t1146)) % 1.24/1.43 (define @t1159 () (tptp.c_Groups_Oabs__class_Oabs @t8 @t143)) % 1.24/1.43 (define @t1160 () (= @t1146 @t64)) % 1.24/1.43 (define @t1161 () (tptp.hAPP @t107 @t1146)) % 1.24/1.43 (define @t1162 () (tptp.hAPP @t1161 @t1145)) % 1.24/1.43 (define @t1163 () (@list @t226 @t68 @t65 @t64 @t8)) % 1.24/1.43 (define @t1164 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t317)) % 1.24/1.43 (define @t1165 () (tptp.hAPP (tptp.hAPP @t582 @t1146) @t89)) % 1.24/1.43 (define @t1166 () (= (tptp.c_Groups_Oabs__class_Oabs @t8 @t135) @t1162)) % 1.24/1.43 (define @t1167 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t7)) % 1.24/1.43 (define @t1168 () (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t932)) % 1.24/1.43 (define @t1169 () (= @t1153 (tptp.c_Nat_OSuc (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t989 @t89)))) % 1.24/1.43 (define @t1170 () (=> @t503 @t1169)) % 1.24/1.43 (define @t1171 () (@var "B_q" $$unsorted)) % 1.24/1.43 (define @t1172 () (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t118 @t92)) % 1.24/1.43 (define @t1173 () (@var "V_q_2" $$unsorted)) % 1.24/1.43 (define @t1174 () (= @t142 @t54)) % 1.24/1.43 (define @t1175 () (tptp.c_Complex_Ocomplex_OComplex @t143 @t142)) % 1.24/1.43 (define @t1176 () (tptp.c_Complex_Ocomplex_OComplex @t65 @t226)) % 1.24/1.43 (define @t1177 () (tptp.c_Complex_Ocomplex_OComplex @t64 @t68)) % 1.24/1.43 (define @t1178 () (@list @t226 @t65 @t68 @t64)) % 1.24/1.43 (define @t1179 () (@var "V_real2_H_2" $$unsorted)) % 1.24/1.43 (define @t1180 () (@var "V_real2_2" $$unsorted)) % 1.24/1.43 (define @t1181 () (@var "V_real1_H_2" $$unsorted)) % 1.24/1.43 (define @t1182 () (@var "V_real1_2" $$unsorted)) % 1.24/1.43 (define @t1183 () (tptp.c_Complex_Ocomplex_OComplex @t1182 @t1180)) % 1.24/1.43 (define @t1184 () (tptp.c_Complex_Ocomplex_OComplex @t7 @t40)) % 1.24/1.43 (define @t1185 () (tptp.c_Complex_Ocomplex_OComplex @t930 @t971)) % 1.24/1.43 (define @t1186 () (tptp.hAPP @t101 @t68)) % 1.24/1.43 (define @t1187 () (tptp.hAPP (tptp.hAPP @t811 (tptp.hAPP (tptp.hAPP @t895 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t7 @t20))) @t887)) @t226)) % 1.24/1.43 (define @t1188 () (tptp.hBOOL (tptp.hAPP @t890 @t226))) % 1.24/1.43 (define @t1189 () (@var "V_real2" $$unsorted)) % 1.24/1.43 (define @t1190 () (@var "V_real1" $$unsorted)) % 1.24/1.43 (define @t1191 () (tptp.c_Complex_Ocomplex_OComplex @t1190 @t1189)) % 1.24/1.43 (define @t1192 () (@list @t1189 @t1190)) % 1.24/1.43 (define @t1193 () (= (tptp.c_Transcendental_Ocos (tptp.c_Complex_Oarg (tptp.c_Complex_Ocomplex_OComplex @t54 @t40))) @t54)) % 1.24/1.43 (define @t1194 () (@list @t40)) % 1.24/1.43 (define @t1195 () (@var "V_f1_2" $$unsorted)) % 1.24/1.43 (define @t1196 () (tptp.hAPP (tptp.hAPP @t1195 @t1182) @t1180)) % 1.24/1.43 (define @t1197 () (@list @t1180 @t1182 @t1195 @t8)) % 1.24/1.43 (define @t1198 () (tptp.c_Rings_Oinverse__class_Odivide @t8 @t64 @t68)) % 1.24/1.43 (define @t1199 () (tptp.class_Fields_Ofield__inverse__zero @t8)) % 1.24/1.43 (define @t1200 () (@var "T_1" $$unsorted)) % 1.24/1.43 (define @t1201 () (tptp.tc_Polynomial_Opoly @t1200)) % 1.24/1.43 (define @t1202 () (tptp.class_Rings_Oidom @t1200)) % 1.24/1.43 (define @t1203 () (@list @t1200)) % 1.24/1.43 (define @t1204 () (tptp.class_Groups_Ocancel__comm__monoid__add @t1200)) % 1.24/1.43 (define @t1205 () (tptp.class_Rings_Ocomm__ring @t1200)) % 1.24/1.43 (define @t1206 () (@var "T_2" $$unsorted)) % 1.24/1.43 (define @t1207 () (tptp.tc_fun @t1206 @t1200)) % 1.24/1.43 (define @t1208 () (@list @t1206 @t1200)) % 1.24/1.43 (define @t1209 () (tptp.class_Rings_Olinordered__idom @t1200)) % 1.24/1.43 (define @t1210 () (tptp.class_Rings_Ocomm__semiring__0 @t1200)) % 1.24/1.43 (define @t1211 () (tptp.class_Rings_Ocomm__semiring__1 @t1200)) % 1.24/1.43 (define @t1212 () (tptp.class_Groups_Ocomm__monoid__add @t1200)) % 1.24/1.43 (define @t1213 () (tptp.class_Groups_Oab__group__add @t1200)) % 1.24/1.43 (define @t1214 () (tptp.class_Rings_Ocomm__ring__1 @t1200)) % 1.24/1.43 (define @t1215 () (@var "V_P" $$unsorted)) % 1.24/1.43 (define @t1216 () (@var "V_Q" $$unsorted)) % 1.24/1.43 (define @t1217 () (@var "V_R_2" $$unsorted)) % 1.24/1.43 (define @t1218 () (@var "V_Q_2" $$unsorted)) % 1.24/1.43 (define @t1219 () (tptp.hBOOL (tptp.hAPP @t55 tptp.v_r))) % 1.24/1.43 (define @t1220 () (not @t29)) % 1.24/1.43 (define @t1221 () (not @t31)) % 1.24/1.43 (define @t1222 () (or @t1221 @t1220 @t27)) % 1.24/1.43 (define @t1223 () (not @t16)) % 1.24/1.43 (define @t1224 () (not @t56)) % 1.24/1.43 (define @t1225 () (or @t1224 @t1223 @t1219)) % 1.24/1.43 (define @t1226 () (not @t1225)) % 1.24/1.43 (define @t1227 () (forall @t32 @t1222)) % 1.24/1.43 (assume @p1 (forall (@list @t1 @t2) (=> (forall @t6 (= @t5 @t4)) (= @t2 @t1)))) % 1.24/1.43 (assume @p2 (tptp.c_SEQ_Osubseq tptp.v_ga____)) % 1.24/1.43 (assume @p3 (forall @t11 (=> @t10 (tptp.hBOOL (tptp.hAPP @t9 @t7))))) % 1.24/1.43 (assume @p4 (forall @t13 (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 @t12))) tptp.v_r)))) % 1.24/1.43 (assume @p5 @t16) % 1.24/1.43 (assume @p6 (tptp.c_SEQ_Osubseq tptp.v_f____)) % 1.24/1.43 (assume @p7 (forall @t19 (tptp.hBOOL (tptp.hAPP @t18 @t17)))) % 1.24/1.43 (assume @p8 (forall @t23 (or @t22 @t21))) % 1.24/1.43 (assume @p9 @t33) % 1.24/1.43 (assume @p10 (forall @t23 (=> @t22 (=> @t21 @t34)))) % 1.24/1.43 (assume @p11 (forall @t39 (=> @t38 (= @t37 (forall @t6 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t35 @t5) @t4))))))) % 1.24/1.43 (assume @p12 (forall @t45 (=> @t44 (or @t43 @t42)))) % 1.24/1.43 (assume @p13 (forall @t52 (=> @t51 (= @t50 (and @t49 @t48))))) % 1.24/1.43 (assume @p14 (forall @t45 (=> @t10 (=> @t53 @t43)))) % 1.24/1.43 (assume @p15 @t56) % 1.24/1.43 (assume @p16 (forall @t45 (=> @t44 (=> (not @t43) @t42)))) % 1.24/1.43 (assume @p17 (forall (@list @t46 @t1 @t2 @t8 @t35) (=> @t38 (=> @t37 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t35 (tptp.hAPP @t2 @t46)) @t57)))))) % 1.24/1.43 (assume @p18 (forall @t60 (=> @t51 (=> @t42 (=> @t59 (tptp.hBOOL (tptp.hAPP @t58 @t7))))))) % 1.24/1.43 (assume @p19 (forall @t61 (=> @t51 (=> @t42 (=> @t43 @t53))))) % 1.24/1.43 (assume @p20 (forall @t63 (=> @t10 (=> @t43 (=> @t62 (tptp.hBOOL (tptp.hAPP @t9 @t20))))))) % 1.24/1.43 (assume @p21 (forall @t45 (=> @t51 (=> @t43 (=> @t42 @t53))))) % 1.24/1.43 (assume @p22 (forall @t72 (=> @t51 (=> @t71 (=> @t69 @t67))))) % 1.24/1.43 (assume @p23 (forall @t77 (=> @t76 (=> @t75 (=> @t69 @t74))))) % 1.24/1.43 (assume @p24 (forall @t77 (=> @t51 (=> @t78 (=> (tptp.hBOOL (tptp.hAPP @t66 @t68)) @t67))))) % 1.24/1.43 (assume @p25 (forall @t77 (=> @t76 (=> @t78 (=> @t79 @t74))))) % 1.24/1.43 (assume @p26 (forall @t81 (=> @t51 (=> @t48 @t80)))) % 1.24/1.43 (assume @p27 (forall @t86 (=> @t85 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t84) @t54)) @t83)))) % 1.24/1.43 (assume @p28 (forall @t11 (=> @t85 (tptp.hBOOL (tptp.hAPP @t55 @t87))))) % 1.24/1.43 (assume @p29 (forall @t86 (=> @t85 (= (= @t84 @t54) @t83)))) % 1.24/1.43 (assume @p30 (forall @t88 (=> @t85 (= (tptp.c_RealVector_Onorm__class_Onorm @t8 @t82) @t54)))) % 1.24/1.43 (assume @p31 (forall @t91 (tptp.hBOOL (tptp.hAPP @t90 @t89)))) % 1.24/1.43 (assume @p32 (forall (@list @t92 @t2) (=> @t94 (tptp.hBOOL (tptp.hAPP @t93 (tptp.hAPP @t2 @t92)))))) % 1.24/1.43 (assume @p33 (forall @t96 (= (tptp.hBOOL (tptp.hAPP @t93 @t14)) @t95))) % 1.24/1.43 (assume @p34 (forall @t86 (=> @t97 (= (= @t82 @t46) @t83)))) % 1.24/1.43 (assume @p35 (forall @t96 (= (tptp.hBOOL (tptp.hAPP @t99 @t54)) @t95))) % 1.24/1.43 (assume @p36 (forall (@list @t40 @t7 @t65 @t8) (=> @t85 (=> @t103 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t87) (tptp.hAPP @t102 @t100))) (= @t7 @t82)))))) % 1.24/1.43 (assume @p37 (forall @t91 (tptp.hBOOL (tptp.hAPP @t55 @t104)))) % 1.24/1.43 (assume @p38 (forall @t91 (tptp.hBOOL (tptp.hAPP @t105 @t89)))) % 1.24/1.43 (assume @p39 (forall @t45 (=> @t111 (= @t110 @t106)))) % 1.24/1.43 (assume @p40 (forall @t23 (= (tptp.hAPP @t112 @t17) (tptp.hAPP (tptp.hAPP @t101 @t17) @t20)))) % 1.24/1.43 (assume @p41 (forall @t117 (or @t116 @t114))) % 1.24/1.43 (assume @p42 (forall @t121 (= (= @t98 @t120) @t119))) % 1.24/1.43 (assume @p43 (forall @t127 (= (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP @t126 @t123)) @t122) (tptp.hAPP @t126 (tptp.hAPP @t124 @t122))))) % 1.24/1.43 (assume @p44 (forall @t117 (=> @t128 @t116))) % 1.24/1.43 (assume @p45 (forall @t32 (=> @t131 (=> (tptp.hBOOL (tptp.hAPP @t130 @t24)) (tptp.hBOOL (tptp.hAPP @t129 @t24)))))) % 1.24/1.43 (assume @p46 (forall @t117 (=> @t116 (=> @t114 @t128)))) % 1.24/1.43 (assume @p47 (forall @t77 (=> (tptp.class_Groups_Oab__semigroup__mult @t8) (= (tptp.hAPP (tptp.hAPP @t107 @t135) @t65) (tptp.hAPP @t134 @t133))))) % 1.24/1.43 (assume @p48 (forall (@list @t68 @t8) (=> @t137 (= (tptp.hAPP @t136 @t68) @t82)))) % 1.24/1.43 (assume @p49 (forall @t138 (=> @t137 (= (tptp.hAPP @t136 @t40) @t82)))) % 1.24/1.43 (assume @p50 (forall @t140 (=> @t137 @t139))) % 1.24/1.43 (assume @p51 (forall @t11 (=> @t137 (= (tptp.hAPP @t108 @t82) @t82)))) % 1.24/1.43 (assume @p52 (forall @t45 (=> @t137 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t110) @t106))))) % 1.24/1.43 (assume @p53 (forall @t121 (= (tptp.hBOOL (tptp.hAPP @t99 @t120)) @t141))) % 1.24/1.43 (assume @p54 (forall @t147 (=> @t146 (= (= (tptp.hAPP (tptp.hAPP @t101 @t143) @t145) (tptp.hAPP (tptp.hAPP @t101 @t142) @t145)) @t144)))) % 1.24/1.43 (assume @p55 (forall @t147 (=> @t146 (= (= (tptp.hAPP @t148 @t143) (tptp.hAPP @t148 @t142)) @t144)))) % 1.24/1.43 (assume @p56 (forall @t96 (= (= @t98 @t54) @t95))) % 1.24/1.43 (assume @p57 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t14) @t54)) % 1.24/1.43 (assume @p58 (forall @t140 (=> @t151 (tptp.hBOOL (tptp.hAPP @t150 @t149))))) % 1.24/1.43 (assume @p59 (forall @t161 (=> @t160 (= (tptp.hBOOL (tptp.hAPP @t150 @t159)) (or (and @t157 @t156) (and @t155 @t153)))))) % 1.24/1.43 (assume @p60 (forall @t161 (=> @t160 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t159) @t82)) (or (and @t157 @t153) (and @t155 @t156)))))) % 1.24/1.43 (assume @p61 (forall @t166 (=> @t165 (=> @t164 (=> @t163 @t162))))) % 1.24/1.43 (assume @p62 (forall @t166 (=> @t165 (=> @t164 (=> @t168 @t167))))) % 1.24/1.43 (assume @p63 (forall @t166 (=> @t165 (=> @t164 (=> @t168 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t169) @t82))))))) % 1.24/1.43 (assume @p64 (forall @t166 (=> @t165 (=> @t170 (=> @t163 @t167))))) % 1.24/1.43 (assume @p65 (forall @t166 (=> @t171 (=> @t170 (=> @t168 @t162))))) % 1.24/1.43 (assume @p66 (forall @t77 (=> @t176 (=> @t75 (=> @t175 @t174))))) % 1.24/1.43 (assume @p67 (forall @t77 (=> @t176 @t181))) % 1.24/1.43 (assume @p68 (forall @t77 (=> (tptp.class_Rings_Oordered__comm__semiring @t8) @t181))) % 1.24/1.43 (assume @p69 (forall @t91 (= (tptp.hAPP (tptp.hAPP @t182 @t14) @t89) @t14))) % 1.24/1.43 (assume @p70 (forall @t184 (= (tptp.hAPP @t183 @t14) @t14))) % 1.24/1.43 (assume @p71 (forall @t188 (= (= @t187 @t14) (or @t185 @t95)))) % 1.24/1.43 (assume @p72 (forall @t197 (= @t196 @t192))) % 1.24/1.43 (assume @p73 (forall @t201 (= (= @t200 @t199) @t192))) % 1.24/1.43 (assume @p74 (forall @t209 (=> @t131 (=> @t208 (tptp.hBOOL (tptp.hAPP @t206 (tptp.hAPP @t203 @t202))))))) % 1.24/1.43 (assume @p75 (forall @t32 (=> @t131 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t212) @t211))))) % 1.24/1.43 (assume @p76 (forall @t32 (=> @t131 (tptp.hBOOL (tptp.hAPP @t206 @t213))))) % 1.24/1.43 (assume @p77 (forall @t184 (tptp.hBOOL (tptp.hAPP @t115 (tptp.hAPP @t183 @t214))))) % 1.24/1.43 (assume @p78 (forall @t184 (tptp.hBOOL (tptp.hAPP @t115 @t214)))) % 1.24/1.43 (assume @p79 (forall @t117 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t216) (tptp.hAPP (tptp.hAPP @t101 @t215) @t104)))) % 1.24/1.43 (assume @p80 (forall @t166 (=> @t220 (=> @t219 (or @t218 @t217))))) % 1.24/1.43 (assume @p81 (forall @t166 (=> @t220 (=> @t222 (=> @t221 (not @t219)))))) % 1.24/1.43 (assume @p82 (forall @t161 (=> (tptp.class_Rings_Oring__no__zero__divisors @t8) (= (= @t159 @t82) (or @t223 (= @t142 @t82)))))) % 1.24/1.43 (assume @p83 (forall @t140 (=> @t224 @t139))) % 1.24/1.43 (assume @p84 (forall @t140 (=> @t224 @t225))) % 1.24/1.43 (assume @p85 (forall @t166 (=> @t165 (=> (or (and @t164 @t168) (and @t170 @t163)) @t167)))) % 1.24/1.43 (assume @p86 (forall @t166 (=> @t171 (=> (or (and @t164 @t163) (and @t170 @t168)) @t162)))) % 1.24/1.43 (assume @p87 (forall @t230 (=> @t176 (=> @t75 (=> @t229 (=> @t163 @t228)))))) % 1.24/1.43 (assume @p88 (forall @t230 (=> @t176 (=> @t75 (=> @t229 (=> @t164 @t228)))))) % 1.24/1.43 (assume @p89 (forall @t72 (=> @t171 (=> @t71 (=> @t231 @t180))))) % 1.24/1.43 (assume @p90 (forall @t72 (=> @t171 (=> @t71 (=> @t231 @t174))))) % 1.24/1.43 (assume @p91 (forall @t241 (=> @t51 (= @t240 @t239)))) % 1.24/1.43 (assume @p92 (forall @t140 (=> @t242 @t139))) % 1.24/1.43 (assume @p93 (forall @t140 (=> @t242 @t225))) % 1.24/1.43 (assume @p94 (forall @t88 (=> @t137 (exists @t248 (and @t247 @t246))))) % 1.24/1.43 (assume @p95 (forall @t11 (=> @t137 (exists @t248 (and @t247 @t250))))) % 1.24/1.43 (assume @p96 (forall @t138 (=> @t137 (exists @t248 (and @t247 @t251))))) % 1.24/1.43 (assume @p97 (forall @t241 (=> @t51 (= @t253 @t252)))) % 1.24/1.43 (assume @p98 (forall @t88 (=> @t137 (exists @t248 @t246)))) % 1.24/1.43 (assume @p99 (forall @t11 (=> @t137 (exists @t248 @t250)))) % 1.24/1.43 (assume @p100 (forall @t138 (=> @t137 (exists @t248 @t251)))) % 1.24/1.43 (assume @p101 (forall @t256 (= (tptp.hAPP (tptp.hAPP @t182 @t216) @t24) (tptp.hAPP @t183 @t255)))) % 1.24/1.43 (assume @p102 (forall @t117 (= @t216 @t257))) % 1.24/1.43 (assume @p103 (forall @t269 (=> @t242 (= @t268 (tptp.hAPP @t264 (tptp.hAPP @t260 @t258)))))) % 1.24/1.43 (assume @p104 (forall @t269 (=> @t242 (= @t268 (tptp.hAPP @t265 (tptp.hAPP @t267 @t258)))))) % 1.24/1.43 (assume @p105 (forall @t269 (=> @t242 (= @t268 (tptp.hAPP @t263 (tptp.hAPP @t260 @t266)))))) % 1.24/1.43 (assume @p106 (forall @t271 (=> @t242 (= @t270 (tptp.hAPP @t264 @t259))))) % 1.24/1.43 (assume @p107 (forall @t271 (=> @t242 (= @t270 (tptp.hAPP @t263 (tptp.hAPP @t260 @t261)))))) % 1.24/1.43 (assume @p108 (forall @t273 (=> @t242 (= @t272 (tptp.hAPP @t264 @t258))))) % 1.24/1.43 (assume @p109 (forall @t273 (=> @t242 (= @t272 (tptp.hAPP @t265 (tptp.hAPP @t263 @t258)))))) % 1.24/1.43 (assume @p110 (forall @t166 (=> @t242 (= @t135 @t169)))) % 1.24/1.43 (assume @p111 (forall @t197 (= @t196 (or @t190 @t191)))) % 1.24/1.43 (assume @p112 (forall (@list @t276 @t8) (=> @t97 (= (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t8 @t276) @t14) (= @t276 @t275))))) % 1.24/1.43 (assume @p113 (forall @t279 (=> (tptp.hBOOL (tptp.hAPP @t55 @t64)) (=> (tptp.hBOOL (tptp.hAPP @t55 @t68)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t182 @t278) (tptp.c_RComplete_Onatfloor @t68))) (tptp.c_RComplete_Onatfloor (tptp.hAPP @t277 @t68)))))))) % 1.24/1.43 (assume @p114 (forall @t241 (=> @t51 (= @t280 (or @t252 @t239))))) % 1.24/1.43 (assume @p115 (forall @t285 (=> @t284 (= (tptp.hBOOL (tptp.hAPP @t283 @t143)) (tptp.hBOOL (tptp.hAPP @t282 @t281)))))) % 1.24/1.44 (assume @p116 (forall @t285 (=> @t284 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t143) @t286)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t281) @t46)))))) % 1.24/1.44 (assume @p117 (forall @t241 (=> @t51 (=> @t240 @t280)))) % 1.24/1.44 (assume @p118 (forall @t166 (=> @t287 (= (tptp.hAPP @t134 @t135) @t135)))) % 1.24/1.44 (assume @p119 (forall @t11 (=> @t287 (= @t288 @t7)))) % 1.24/1.44 (assume @p120 (forall @t91 (= (tptp.c_RComplete_Onatfloor @t104) @t89))) % 1.24/1.44 (assume @p121 (forall @t91 (= (tptp.c_RComplete_Onatceiling @t104) @t89))) % 1.24/1.44 (assume @p122 (= (tptp.c_RComplete_Onatfloor @t54) @t14)) % 1.24/1.44 (assume @p123 (forall @t290 (tptp.hBOOL (tptp.hAPP @t90 @t289)))) % 1.24/1.44 (assume @p124 (forall @t293 (=> @t292 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t289) (tptp.c_RComplete_Onatfloor @t40)))))) % 1.24/1.44 (assume @p125 (= (tptp.c_RComplete_Onatceiling @t54) @t14)) % 1.24/1.44 (assume @p126 (forall @t290 (tptp.hBOOL (tptp.hAPP @t90 @t294)))) % 1.24/1.44 (assume @p127 (forall @t293 (=> @t292 (tptp.hBOOL (tptp.hAPP @t295 (tptp.c_RComplete_Onatceiling @t40)))))) % 1.24/1.44 (assume @p128 (forall @t290 (tptp.hBOOL (tptp.hAPP @t291 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t294))))) % 1.24/1.44 (assume @p129 (forall @t290 (=> @t296 (= @t289 @t14)))) % 1.24/1.44 (assume @p130 (forall @t290 (=> @t298 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t297) @t7))))) % 1.24/1.44 (assume @p131 (forall @t301 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t300) @t64)) (tptp.hBOOL (tptp.hAPP @t299 @t278))))) % 1.24/1.44 (assume @p132 (forall @t290 (=> @t296 (= @t294 @t14)))) % 1.24/1.44 (assume @p133 (forall @t301 (=> (tptp.hBOOL (tptp.hAPP @t291 @t302)) (tptp.hBOOL (tptp.hAPP @t295 @t64))))) % 1.24/1.44 (assume @p134 (forall @t241 (=> @t51 (=> @t253 @t280)))) % 1.24/1.44 (assume @p135 (forall @t140 (=> @t287 (= @t149 @t64)))) % 1.24/1.44 (assume @p136 (forall @t241 (=> @t51 (=> @t252 @t280)))) % 1.24/1.44 (assume @p137 (forall @t241 (=> @t51 (=> @t239 @t280)))) % 1.24/1.44 (assume @p138 (forall @t306 (=> @t305 (= (tptp.hAPP (tptp.hAPP @t304 @t275) @t303) @t275)))) % 1.24/1.44 (assume @p139 (forall @t309 (=> @t305 (= (tptp.hAPP @t308 @t275) @t275)))) % 1.24/1.44 (assume @p140 (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____))))) % 1.24/1.44 (assume @p141 (forall @t197 (=> @t314 (= @t312 @t311)))) % 1.24/1.44 (assume @p142 (forall @t201 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t200) @t199)) @t315))) % 1.24/1.44 (assume @p143 (forall @t197 (= @t312 @t315))) % 1.24/1.44 (assume @p144 (forall @t322 (=> @t137 (=> @t321 (=> @t319 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t110) (tptp.hAPP @t318 @t316)))))))) % 1.24/1.44 (assume @p145 (forall @t91 (not (tptp.hBOOL (tptp.hAPP @t323 @t14))))) % 1.24/1.44 (assume @p146 (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_ORe (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_Complex_Ocomplex tptp.tc_Nat_Onat tptp.v_s tptp.v_f____)))) % 1.24/1.44 (assume @p147 (forall @t45 (=> @t331 @t330))) % 1.24/1.44 (assume @p148 (forall @t11 (=> @t10 (not (tptp.hBOOL (tptp.hAPP @t326 @t7)))))) % 1.24/1.44 (assume @p149 (forall @t52 (=> @t44 (= @t335 (or @t334 @t332))))) % 1.24/1.44 (assume @p150 (forall @t52 (=> @t44 (= @t336 (or @t332 @t50))))) % 1.24/1.44 (assume @p151 (forall @t45 (=> @t44 (or @t327 @t53 @t325)))) % 1.24/1.44 (assume @p152 (forall @t81 (=> @t44 (=> (not @t332) @t337)))) % 1.24/1.44 (assume @p153 (forall @t45 (=> @t44 @t330))) % 1.24/1.44 (assume @p154 (forall @t45 (=> @t51 (=> @t327 @t329)))) % 1.24/1.44 (assume @p155 (forall @t45 (=> @t10 (=> @t327 (not @t325))))) % 1.24/1.44 (assume @p156 (forall @t45 (=> @t51 (=> @t327 (not (= @t40 @t7)))))) % 1.24/1.44 (assume @p157 (forall @t166 (=> @t10 (=> @t341 (not @t339))))) % 1.24/1.44 (assume @p158 (forall @t342 (=> @t51 (=> @t339 (not @t341))))) % 1.24/1.44 (assume @p159 (forall @t77 (=> @t76 (=> @t78 (=> @t344 @t343))))) % 1.24/1.44 (assume @p160 (forall @t77 (=> @t51 (=> @t78 (=> (tptp.hBOOL (tptp.hAPP @t345 @t68)) @t346))))) % 1.24/1.44 (assume @p161 (forall @t77 (=> @t76 (=> @t341 (=> @t69 @t343))))) % 1.24/1.44 (assume @p162 (forall @t72 (=> @t51 (=> @t339 (=> @t69 @t346))))) % 1.24/1.44 (assume @p163 (forall @t63 (=> @t10 (=> @t327 @t348)))) % 1.24/1.44 (assume @p164 (forall @t60 (=> @t51 (=> @t325 @t351)))) % 1.24/1.44 (assume @p165 (forall @t45 (=> @t44 (=> @t328 (=> @t329 @t325))))) % 1.24/1.44 (assume @p166 (forall @t91 (not (tptp.hBOOL (tptp.hAPP @t323 @t89))))) % 1.24/1.44 (assume @p167 (forall @t188 (= @t356 (or @t355 @t353)))) % 1.24/1.44 (assume @p168 (forall @t293 (=> @t329 (=> (not @t358) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t40) @t7)))))) % 1.24/1.44 (assume @p169 (forall @t361 (=> @t360 @t359))) % 1.24/1.44 (assume @p170 (forall (@list @t362 @t316) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t316) @t362)) (not (= @t316 @t362))))) % 1.24/1.44 (assume @p171 (forall (@list @t363 @t92 @t118) (=> (=> @t355 @t365) (=> (=> @t191 @t365) (=> (=> @t353 @t365) @t365))))) % 1.24/1.44 (assume @p172 (forall @t121 (= (tptp.hBOOL (tptp.hAPP @t366 @t120)) @t353))) % 1.24/1.44 (assume @p173 (forall @t52 (=> @t44 (= @t336 @t48)))) % 1.24/1.44 (assume @p174 (forall @t52 (=> @t44 (= (not @t49) @t332)))) % 1.24/1.44 (assume @p175 (forall @t45 (=> @t44 (or @t43 @t325)))) % 1.24/1.44 (assume @p176 (forall @t52 (=> @t51 (= @t334 (and @t49 @t335))))) % 1.24/1.44 (assume @p177 (forall @t52 (=> @t10 (= @t334 (and @t49 (not @t48)))))) % 1.24/1.44 (assume @p178 (forall @t52 (=> @t51 (= @t49 (or @t334 @t50))))) % 1.24/1.44 (assume @p179 (forall @t45 (=> @t44 (=> @t328 @t42)))) % 1.24/1.44 (assume @p180 (forall @t61 (=> @t44 (=> (not @t42) @t327)))) % 1.24/1.44 (assume @p181 (forall @t52 (=> @t44 (=> @t336 @t80)))) % 1.24/1.44 (assume @p182 (forall @t166 (=> @t51 (=> @t367 (=> @t75 @t341))))) % 1.24/1.44 (assume @p183 (forall @t166 (=> @t51 (=> @t367 (=> @t71 @t339))))) % 1.24/1.44 (assume @p184 (forall @t61 (=> @t44 (=> @t42 @t328)))) % 1.24/1.44 (assume @p185 (forall @t45 (=> @t10 (=> @t327 @t43)))) % 1.24/1.44 (assume @p186 (forall @t52 (=> @t44 (=> @t49 @t337)))) % 1.24/1.44 (assume @p187 (forall @t45 (=> @t51 (=> @t43 (or @t327 @t53))))) % 1.24/1.44 (assume @p188 (forall @t166 (=> @t51 (=> @t75 (=> @t367 @t341))))) % 1.24/1.44 (assume @p189 (forall @t342 (=> @t51 (=> @t71 (=> @t367 @t339))))) % 1.24/1.44 (assume @p190 (forall @t63 (=> @t10 (=> @t327 (=> @t62 @t347))))) % 1.24/1.44 (assume @p191 (forall @t60 (=> @t51 (=> @t325 (=> @t59 @t350))))) % 1.24/1.44 (assume @p192 (forall @t63 (=> @t10 (=> @t43 @t348)))) % 1.24/1.44 (assume @p193 (forall @t60 (=> @t51 (=> @t42 @t351)))) % 1.24/1.44 (assume @p194 (forall @t91 (=> @t370 @t368))) % 1.24/1.44 (assume @p195 (forall @t117 (=> @t372 @t370))) % 1.24/1.44 (assume @p196 (forall @t96 (= @t374 @t373))) % 1.24/1.44 (assume @p197 (forall @t378 (= @t377 (and @t375 @t335)))) % 1.24/1.44 (assume @p198 (forall @t378 (= @t375 (or @t377 @t50)))) % 1.24/1.44 (assume @p199 (forall @t188 (= @t355 (and @t311 @t356)))) % 1.24/1.44 (assume @p200 (forall @t188 (= @t311 @t379))) % 1.24/1.44 (assume @p201 (forall @t117 (=> @t372 @t116))) % 1.24/1.44 (assume @p202 (forall @t117 (=> @t116 (=> @t359 @t372)))) % 1.24/1.44 (assume @p203 (forall @t117 (=> (or @t372 @t128) @t116))) % 1.24/1.44 (assume @p204 (forall @t96 (= (tptp.hBOOL (tptp.hAPP @t380 @t98)) @t373))) % 1.24/1.44 (assume @p205 (forall @t382 (= @t94 (forall @t238 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t232) @t12)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t2 @t232)) @t381))))))) % 1.24/1.44 (assume @p206 (forall @t140 (=> @t151 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t149) @t82)))))) % 1.24/1.44 (assume @p207 (forall @t394 (=> @t160 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t393) @t392)) @t390)))) % 1.24/1.44 (assume @p208 (forall @t399 (=> @t160 (= @t398 @t390)))) % 1.24/1.44 (assume @p209 (forall @t399 (=> @t160 (=> @t389 (= @t398 @t387))))) % 1.24/1.44 (assume @p210 (forall @t166 (=> @t403 (=> @t402 (=> @t401 @t400))))) % 1.24/1.44 (assume @p211 (forall @t166 (=> @t403 (=> @t402 (=> @t405 @t404))))) % 1.24/1.44 (assume @p212 (forall @t166 (=> @t403 (=> @t402 (=> @t405 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t169) @t82))))))) % 1.24/1.44 (assume @p213 (forall @t166 (=> @t403 (=> @t400 @t406)))) % 1.24/1.44 (assume @p214 (forall @t342 (=> @t403 (=> (tptp.hBOOL (tptp.hAPP @t388 @t169)) @t406)))) % 1.24/1.44 (assume @p215 (forall @t399 (=> @t160 (=> @t385 (= @t398 @t383))))) % 1.24/1.44 (assume @p216 (forall @t166 (=> @t403 (=> @t407 (=> @t401 @t404))))) % 1.24/1.44 (assume @p217 (forall @t166 (=> @t160 (=> @t407 (=> @t405 @t400))))) % 1.24/1.44 (assume @p218 (forall @t77 (=> @t403 (=> @t341 (=> @t410 @t409))))) % 1.24/1.44 (assume @p219 (forall @t77 (=> @t403 @t412))) % 1.24/1.44 (assume @p220 (forall @t77 (=> (tptp.class_Rings_Olinordered__comm__semiring__strict @t8) @t412))) % 1.24/1.44 (assume @p221 (forall @t72 (=> @t160 (=> @t339 (=> @t413 @t409))))) % 1.24/1.44 (assume @p222 (forall @t72 (=> @t160 (=> @t339 (=> @t413 @t411))))) % 1.24/1.44 (assume @p223 (forall @t415 (=> @t298 (=> (tptp.hBOOL (tptp.hAPP @t414 @t104)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t289) @t89)))))) % 1.24/1.44 (assume @p224 (forall @t188 (= (tptp.hBOOL (tptp.hAPP @t313 @t187)) (and @t416 @t373)))) % 1.24/1.44 (assume @p225 (forall @t197 (= @t418 @t417))) % 1.24/1.44 (assume @p226 (forall @t201 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t200) @t199)) @t417))) % 1.24/1.44 (assume @p227 (forall @t32 (=> @t421 (=> @t419 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t205) @t213)))))) % 1.24/1.44 (assume @p228 (forall @t32 (=> @t421 (=> @t419 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t212) @t211)))))) % 1.24/1.44 (assume @p229 (forall @t197 (=> @t314 (= @t418 @t355)))) % 1.24/1.44 (assume @p230 (forall @t197 (=> @t314 (= @t196 @t191)))) % 1.24/1.44 (assume @p231 (forall (@list @t40 @t7 @t20) (=> (tptp.hBOOL (tptp.hAPP @t380 @t20)) (=> @t422 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP @t112 @t7)) (tptp.hAPP @t112 @t40))))))) % 1.24/1.44 (assume @p232 (forall @t293 (=> @t425 (=> @t424 (tptp.hBOOL (tptp.hAPP @t380 @t423)))))) % 1.24/1.44 (assume @p233 (forall @t432 (=> @t431 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t430) @t428)) @t377)))) % 1.24/1.44 (assume @p234 (forall @t11 (=> @t85 (not (tptp.hBOOL (tptp.hAPP @t320 @t54)))))) % 1.24/1.44 (assume @p235 (forall @t91 (not (tptp.hBOOL (tptp.hAPP @t433 @t54))))) % 1.24/1.44 (assume @p236 (forall @t399 (=> @t160 (=> @t389 (= @t435 @t434))))) % 1.24/1.44 (assume @p237 (forall @t399 (=> @t160 (=> @t385 (= @t435 (tptp.hBOOL (tptp.hAPP @t152 @t143))))))) % 1.24/1.44 (assume @p238 (forall @t230 (=> @t403 (=> @t341 (=> @t438 (=> @t401 @t437)))))) % 1.24/1.44 (assume @p239 (forall @t230 (=> @t403 (=> @t341 (=> @t438 (=> @t164 @t437)))))) % 1.24/1.44 (assume @p240 (forall @t230 (=> @t403 (=> @t341 (=> @t229 (=> @t164 (=> @t410 @t436))))))) % 1.24/1.44 (assume @p241 (forall @t230 (=> @t403 (=> @t75 (=> @t438 (=> @t402 @t437)))))) % 1.24/1.44 (assume @p242 (forall @t442 (=> @t441 @t440))) % 1.24/1.44 (assume @p243 (forall @t442 (=> @t403 @t440))) % 1.24/1.44 (assume @p244 (forall @t444 (=> @t441 @t443))) % 1.24/1.44 (assume @p245 (forall @t444 (=> @t403 @t443))) % 1.24/1.44 (assume @p246 (forall @t442 (=> @t403 (=> @t174 @t445)))) % 1.24/1.44 (assume @p247 (forall @t444 (=> @t403 (=> @t180 @t445)))) % 1.24/1.44 (assume @p248 (forall @t86 (=> @t85 (= (tptp.hBOOL (tptp.hAPP @t380 @t84)) @t446)))) % 1.24/1.44 (assume @p249 (forall @t432 (=> @t431 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t430) @t428)) @t375)))) % 1.24/1.44 (assume @p250 (forall @t432 (=> @t431 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t447 @t46)) (tptp.hAPP @t447 @t47))) @t375)))) % 1.24/1.44 (assume @p251 (not (forall (@list @t448) (=> (tptp.c_SEQ_Osubseq @t448) (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____ @t448))))))))) % 1.24/1.44 (assume @p252 (forall @t451 (= (not (tptp.hBOOL (tptp.hAPP @t380 @t450))) @t449))) % 1.24/1.44 (assume @p253 (forall @t138 (=> @t137 (exists @t248 (and @t452 @t251))))) % 1.24/1.44 (assume @p254 (forall @t11 (=> @t137 (exists @t248 (and @t452 @t250))))) % 1.24/1.44 (assume @p255 (forall @t88 (=> @t137 (exists @t248 (and @t452 @t246))))) % 1.24/1.44 (assume @p256 (= (tptp.hAPP tptp.c_Complex_OIm @t453) @t54)) % 1.24/1.44 (assume @p257 (forall @t293 (=> @t358 @t454))) % 1.24/1.44 (assume @p258 (forall @t241 (=> @t85 (= @t458 @t457)))) % 1.24/1.44 (assume @p259 (exists @t248 (and @t452 @t460))) % 1.24/1.44 (assume @p260 (forall @t293 (=> (= @t464 @t463) (=> (= @t462 @t461) @t53)))) % 1.24/1.44 (assume @p261 (forall @t378 (= @t50 (and (= (tptp.hAPP tptp.c_Complex_ORe @t46) (tptp.hAPP tptp.c_Complex_ORe @t47)) (= (tptp.hAPP tptp.c_Complex_OIm @t46) (tptp.hAPP tptp.c_Complex_OIm @t47)))))) % 1.24/1.44 (assume @p262 (= (tptp.hAPP tptp.c_Complex_ORe @t453) @t54)) % 1.24/1.44 (assume @p263 (forall @t39 (=> @t38 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t36 @t2) @t1)) (and @t37 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t36 @t1) @t2)))))))) % 1.24/1.44 (assume @p264 (forall @t290 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t464) @t465)))) % 1.24/1.44 (assume @p265 (exists @t248 (and @t452 @t466))) % 1.24/1.44 (assume @p266 (exists @t248 (and @t247 @t460))) % 1.24/1.44 (assume @p267 (exists @t248 (and @t247 @t466))) % 1.24/1.44 (assume @p268 (exists @t248 @t460)) % 1.24/1.44 (assume @p269 (exists @t248 @t466)) % 1.24/1.44 (assume @p270 (forall @t241 (=> @t85 (=> @t458 @t457)))) % 1.24/1.44 (assume @p271 (forall (@list @t233 @t467 @t8) (=> @t85 (=> (tptp.hBOOL (tptp.hAPP @t380 @t467)) (=> (forall @t13 @t468) @t458))))) % 1.24/1.44 (assume @p272 (forall (@list @t467 @t233 @t469 @t8) (=> @t85 (=> (forall @t13 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t469) @t12)) @t468)) @t458)))) % 1.24/1.44 (assume @p273 (forall @t477 (=> @t476 (= @t475 (exists @t474 (forall @t13 (tptp.hBOOL (tptp.hAPP @t473 @t471)))))))) % 1.24/1.44 (assume @p274 (forall @t477 (=> @t476 (= @t475 (exists @t474 (forall @t13 (tptp.hBOOL (tptp.hAPP @t478 @t471)))))))) % 1.24/1.44 (assume @p275 (forall @t290 (=> @t425 (forall @t482 (exists @t13 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t481) (tptp.hAPP @t480 @t7)))))))) % 1.24/1.44 (assume @p276 (exists @t485 (and @t484 (tptp.c_SEQ_Omonoseq tptp.tc_RealDef_Oreal (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Fun_Ocomp tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_Nat_Onat tptp.c_Complex_ORe tptp.v_s) @t483))))) % 1.24/1.44 (assume @p277 (forall @t117 (=> @t372 @t489))) % 1.24/1.44 (assume @p278 (forall @t91 (tptp.hBOOL (tptp.hAPP @t323 @t486)))) % 1.24/1.44 (assume @p279 (forall @t91 (tptp.hBOOL (tptp.hAPP @t313 @t486)))) % 1.24/1.44 (assume @p280 (forall @t293 (=> (= (tptp.c_Nat_OSuc @t7) (tptp.c_Nat_OSuc @t40)) @t53))) % 1.24/1.44 (assume @p281 (forall (@list @t490 @t491) (= (= (tptp.c_Nat_OSuc @t491) (tptp.c_Nat_OSuc @t490)) (= @t491 @t490)))) % 1.24/1.44 (assume @p282 (forall @t91 (not (= @t486 @t89)))) % 1.24/1.44 (assume @p283 (forall @t91 (not (= @t89 @t486)))) % 1.24/1.44 (assume @p284 (forall (@list @t495 @t496 @t497 @t8 @t35 @t492 @t493 @t494 @t46 @t1 @t2) (=> (= @t499 (tptp.hAPP @t494 (tptp.hAPP @t493 @t492))) (= @t498 (tptp.hAPP (tptp.c_Fun_Ocomp @t496 @t8 @t495 @t494 @t493) @t492))))) % 1.24/1.44 (assume @p285 (forall @t184 (not (= @t14 @t487)))) % 1.24/1.44 (assume @p286 (forall (@list @t500) (not (= @t14 (tptp.c_Nat_OSuc @t500))))) % 1.24/1.44 (assume @p287 (forall @t184 (not (= @t487 @t14)))) % 1.24/1.44 (assume @p288 (forall (@list @t501) (not (= (tptp.c_Nat_OSuc @t501) @t14)))) % 1.24/1.44 (assume @p289 (forall @t117 (=> @t489 @t372))) % 1.24/1.44 (assume @p290 (forall @t117 (=> @t502 @t372))) % 1.24/1.44 (assume @p291 (forall @t117 (=> @t504 (=> @t503 @t128)))) % 1.24/1.44 (assume @p292 (forall @t32 (=> @t421 (=> @t506 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t505) @t24)))))) % 1.24/1.44 (assume @p293 (forall @t117 (=> @t372 (=> (not (= @t487 @t89)) @t502)))) % 1.24/1.44 (assume @p294 (forall @t117 (=> @t372 @t504))) % 1.24/1.44 (assume @p295 (forall @t361 (=> (not @t360) (=> (tptp.hBOOL (tptp.hAPP @t323 @t487)) @t128)))) % 1.24/1.44 (assume @p296 (forall @t121 (=> (not @t353) @t509))) % 1.24/1.44 (assume @p297 (forall @t188 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t507) @t510)) @t355))) % 1.24/1.44 (assume @p298 (forall @t188 (= @t511 @t379))) % 1.24/1.44 (assume @p299 (forall @t188 (= (not @t355) @t508))) % 1.24/1.44 (assume @p300 (forall @t117 (=> @t512 @t116))) % 1.24/1.44 (assume @p301 (forall @t117 (=> @t513 (=> (not @t116) (= @t113 @t486))))) % 1.24/1.44 (assume @p302 (forall @t117 (=> @t116 @t513))) % 1.24/1.44 (assume @p303 (forall @t121 (= (tptp.hBOOL (tptp.hAPP @t514 @t507)) @t141))) % 1.24/1.44 (assume @p304 (forall @t188 (= (tptp.hBOOL (tptp.hAPP @t310 @t510)) (or @t311 (= @t118 @t510))))) % 1.24/1.44 (assume @p305 (forall @t188 (= (not @t311) @t515))) % 1.24/1.44 (assume @p306 (forall @t91 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t486) @t89))))) % 1.24/1.44 (assume @p307 (forall @t197 (= (= @t518 @t517) @t191))) % 1.24/1.44 (assume @p308 (forall @t188 (= @t511 (or @t185 (exists @t521 (and (= @t118 (tptp.c_Nat_OSuc @t519)) (tptp.hBOOL (tptp.hAPP @t520 @t92)))))))) % 1.24/1.44 (assume @p309 (forall @t96 (= (tptp.hBOOL (tptp.hAPP @t352 @t522)) @t95))) % 1.24/1.44 (assume @p310 (forall @t96 (= @t373 (exists (@list @t232) (= @t92 (tptp.c_Nat_OSuc @t232)))))) % 1.24/1.44 (assume @p311 (forall @t188 (= (= @t187 @t522) (and @t524 @t523)))) % 1.24/1.44 (assume @p312 (forall @t121 (= @t353 @t515))) % 1.24/1.44 (assume @p313 (forall @t188 (= @t511 @t311))) % 1.24/1.44 (assume @p314 (forall @t188 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t507) @t92)) @t355))) % 1.24/1.44 (assume @p315 (forall @t117 (=> @t116 @t504))) % 1.24/1.44 (assume @p316 (forall @t117 (=> @t372 @t512))) % 1.24/1.44 (assume @p317 (forall @t188 (=> @t311 @t509))) % 1.24/1.44 (assume @p318 (forall @t117 (=> @t512 @t372))) % 1.24/1.44 (assume @p319 (forall @t197 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t518) @t517)) @t355))) % 1.24/1.44 (assume @p320 (forall @t197 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t518) @t517)) @t311))) % 1.24/1.44 (assume @p321 (forall @t241 (=> @t51 (= @t280 (or (forall @t13 (tptp.hBOOL (tptp.hAPP @t236 @t526))) (forall @t13 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t526) @t235)))))))) % 1.24/1.44 (assume @p322 (forall @t382 (= @t94 (forall @t13 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t381) (tptp.hAPP @t2 @t525))))))) % 1.24/1.44 (assume @p323 (forall @t96 (= @t352 @t514))) % 1.24/1.44 (assume @p324 (forall @t361 (=> @t529 (=> @t528 (tptp.hBOOL (tptp.hAPP @t323 @t216)))))) % 1.24/1.44 (assume @p325 (forall @t361 (=> @t529 (=> @t528 (tptp.hBOOL (tptp.hAPP @t323 @t257)))))) % 1.24/1.44 (assume @p326 (forall @t361 (=> @t529 (=> @t528 (tptp.hBOOL (tptp.hAPP @t527 @t216)))))) % 1.24/1.44 (assume @p327 (forall @t188 (= (tptp.hBOOL (tptp.hAPP @t530 @t187)) (and (tptp.hBOOL (tptp.hAPP @t530 @t118)) (tptp.hBOOL (tptp.hAPP @t530 @t92)))))) % 1.24/1.44 (assume @p328 (forall @t91 (tptp.hBOOL (tptp.hAPP @t380 @t531)))) % 1.24/1.44 (assume @p329 (forall @t241 (=> @t85 (= @t458 (exists @t474 (forall @t13 (tptp.hBOOL (tptp.hAPP @t456 @t471)))))))) % 1.24/1.44 (assume @p330 (forall @t241 (=> @t85 (= @t458 (exists @t474 (forall @t13 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t455) @t471)))))))) % 1.24/1.44 (assume @p331 (forall @t290 (=> (tptp.hBOOL (tptp.hAPP @t357 @t532)) (or (= @t7 @t14) (= @t7 @t522))))) % 1.24/1.44 (assume @p332 (exists @t485 (and @t484 (tptp.c_SEQ_Omonoseq tptp.tc_RealDef_Oreal (tptp.c_COMBB tptp.tc_Nat_Onat tptp.tc_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Fun_Ocomp tptp.tc_Nat_Onat tptp.tc_RealDef_Oreal tptp.tc_Nat_Onat (tptp.c_Fun_Ocomp tptp.tc_Complex_Ocomplex tptp.tc_RealDef_Oreal tptp.tc_Nat_Onat tptp.c_Complex_OIm tptp.v_s) tptp.v_f____) @t483))))) % 1.24/1.44 (assume @p333 (forall @t536 (=> @t535 (exists @t13 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t479) @t317)) (tptp.hBOOL (tptp.hAPP @t534 @t533))))))) % 1.24/1.44 (assume @p334 (forall @t537 (=> @t424 (=> @t298 (exists @t13 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t480 @t40)) @t7)) (tptp.hBOOL (tptp.hAPP @t414 (tptp.hAPP (tptp.hAPP @t101 @t533) @t40))))))))) % 1.24/1.44 (assume @p335 (forall (@list @t46 @t2 @t145 @t497 @t8 @t35) (= (tptp.hAPP (tptp.c_Fun_Ocomp @t35 @t8 @t497 (tptp.c_COMBK @t8 @t35 @t145) @t2) @t46) @t145))) % 1.24/1.44 (assume @p336 (forall (@list @t538 @t145 @t142 @t143 @t8 @t35 @t497) (=> (= @t540 @t145) (= @t539 (tptp.hAPP @t145 @t538))))) % 1.24/1.44 (assume @p337 (forall (@list @t46 @t1 @t2 @t497 @t8 @t35) (= @t498 @t499))) % 1.24/1.44 (assume @p338 (forall @t545 (=> @t544 (=> @t368 (=> @t425 @t543))))) % 1.24/1.44 (assume @p339 (forall @t549 (=> @t368 (=> @t298 (=> @t548 @t547))))) % 1.24/1.44 (assume @p340 (forall @t549 (=> @t368 (=> @t298 @t551)))) % 1.24/1.44 (assume @p341 (forall (@list @t552 @t553) (=> (tptp.hBOOL (tptp.hAPP @t313 @t553)) (=> (tptp.hBOOL (tptp.hAPP @t380 @t552)) (tptp.hBOOL (tptp.hAPP @t55 (tptp.c_NthRoot_Oroot @t553 @t552))))))) % 1.24/1.44 (assume @p342 (forall @t91 (= (tptp.c_NthRoot_Oroot @t89 @t54) @t54))) % 1.24/1.44 (assume @p343 (forall @t290 (= (tptp.c_NthRoot_Oroot @t522 @t7) @t7))) % 1.24/1.44 (assume @p344 (forall @t545 (=> @t544 (=> @t368 (= @t542 (tptp.c_NthRoot_Oroot @t89 (tptp.c_NthRoot_Oroot @t113 @t7))))))) % 1.24/1.44 (assume @p345 (forall @t556 (=> @t373 (= (= @t555 @t554) @t50)))) % 1.24/1.44 (assume @p346 (forall @t556 (=> @t373 (= (tptp.hBOOL (tptp.hAPP @t557 @t554)) @t375)))) % 1.24/1.44 (assume @p347 (forall @t549 (=> @t368 (=> @t292 (tptp.hBOOL (tptp.hAPP @t558 @t546)))))) % 1.24/1.44 (assume @p348 (forall @t559 (=> @t373 (= (= @t555 @t54) @t449)))) % 1.24/1.44 (assume @p349 (forall @t549 (=> @t368 @t551))) % 1.24/1.44 (assume @p350 (forall @t556 (=> @t373 (= (tptp.hBOOL (tptp.hAPP @t560 @t554)) @t377)))) % 1.24/1.44 (assume @p351 (forall @t549 (=> @t368 @t547))) % 1.24/1.44 (assume @p352 (forall @t545 (=> @t544 (=> @t368 @t543)))) % 1.24/1.44 (assume @p353 (forall (@list @t561 @t1 @t496 @t2 @t8 @t35 @t497) (= (tptp.c_Fun_Ocomp @t497 @t35 @t8 @t2 (tptp.c_Fun_Ocomp @t496 @t497 @t8 @t1 @t561)) (tptp.c_Fun_Ocomp @t496 @t35 @t8 (tptp.c_Fun_Ocomp @t497 @t35 @t496 @t2 @t1) @t561)))) % 1.24/1.44 (assume @p354 (forall (@list @t538 @t562 @t145 @t496 @t142 @t143 @t8 @t35 @t497) (=> @t563 (= @t539 (tptp.hAPP @t145 (tptp.hAPP @t562 @t538)))))) % 1.24/1.44 (assume @p355 (forall (@list @t562 @t145 @t496 @t142 @t143 @t8 @t35 @t497) (=> @t563 (forall (@list @t564) (= (tptp.hAPP @t143 (tptp.hAPP @t142 @t564)) (tptp.hAPP @t145 (tptp.hAPP @t562 @t564))))))) % 1.24/1.44 (assume @p356 (forall @t565 (=> @t368 (=> @t298 (tptp.hBOOL (tptp.hAPP @t55 @t541)))))) % 1.24/1.44 (assume @p357 (forall @t559 (=> @t373 (= (tptp.hBOOL (tptp.hAPP @t557 @t54)) @t566)))) % 1.24/1.44 (assume @p358 (forall @t568 (=> @t373 (= (tptp.hBOOL (tptp.hAPP @t55 @t554)) @t567)))) % 1.24/1.44 (assume @p359 (forall @t568 (=> @t373 (= (tptp.hBOOL (tptp.hAPP @t380 @t554)) @t569)))) % 1.24/1.44 (assume @p360 (forall @t559 (=> @t373 (= (tptp.hBOOL (tptp.hAPP @t560 @t54)) (tptp.hBOOL (tptp.hAPP @t376 @t54)))))) % 1.24/1.44 (assume @p361 (forall @t565 (=> @t368 (=> @t425 (tptp.hBOOL (tptp.hAPP @t380 @t541)))))) % 1.24/1.44 (assume @p362 (forall @t575 (=> @t368 (=> @t574 (=> @t425 (=> @t573 (tptp.hBOOL (tptp.hAPP @t550 @t571)))))))) % 1.24/1.44 (assume @p363 (forall @t575 (=> @t368 (=> @t574 (=> @t298 (=> (tptp.hBOOL (tptp.hAPP @t291 @t572)) (tptp.hBOOL (tptp.hAPP @t558 @t571)))))))) % 1.24/1.44 (assume @p364 (forall @t565 (=> @t368 (=> @t425 @t578)))) % 1.24/1.44 (assume @p365 (forall @t565 (=> @t368 (=> @t298 (= (tptp.c_NthRoot_Oroot @t89 @t580) @t7))))) % 1.24/1.44 (assume @p366 (forall @t565 (=> @t368 (=> @t298 @t578)))) % 1.24/1.44 (assume @p367 (forall @t586 (=> @t111 (= @t585 @t581)))) % 1.24/1.44 (assume @p368 (forall @t88 (=> @t588 (= (tptp.c_RealVector_Onorm__class_Onorm @t8 @t587) @t572)))) % 1.24/1.44 (assume @p369 (forall @t11 (=> @t242 (= (tptp.hAPP @t583 @t14) @t587)))) % 1.24/1.44 (assume @p370 (forall @t86 (=> (tptp.class_Groups_Oone @t8) (= (= @t587 @t46) (= @t46 @t587))))) % 1.24/1.44 (assume @p371 (forall @t586 (=> @t588 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t585) @t581))))) % 1.24/1.44 (assume @p372 (forall (@list @t303 @t40 @t7 @t8) (=> @t242 (= (tptp.hAPP (tptp.hAPP @t582 @t109) @t303) (tptp.hAPP @t591 (tptp.hAPP @t589 @t303)))))) % 1.24/1.44 (assume @p373 (forall @t88 (=> @t592 (not (= @t587 @t82))))) % 1.24/1.44 (assume @p374 (forall @t88 (=> @t592 (not (= @t82 @t587))))) % 1.24/1.44 (assume @p375 (forall @t140 (=> @t242 @t593))) % 1.24/1.44 (assume @p376 (forall @t140 (=> @t242 @t594))) % 1.24/1.44 (assume @p377 (forall @t140 (=> @t595 @t593))) % 1.24/1.44 (assume @p378 (forall @t140 (=> @t596 @t593))) % 1.24/1.44 (assume @p379 (forall @t140 (=> @t595 @t594))) % 1.24/1.44 (assume @p380 (forall @t140 (=> @t596 @t594))) % 1.24/1.44 (assume @p381 (forall @t599 (=> @t242 (= (tptp.hAPP (tptp.hAPP @t582 @t598) @t303) (tptp.hAPP @t583 (tptp.hAPP @t597 @t303)))))) % 1.24/1.44 (assume @p382 (forall @t451 (=> @t284 (=> @t601 (tptp.c_SEQ_OBseq tptp.tc_RealDef_Oreal @t600))))) % 1.24/1.44 (assume @p383 (not (= @t54 @t572))) % 1.24/1.44 (assume @p384 (forall @t602 (= (tptp.hAPP (tptp.hAPP @t101 @t572) @t20) @t20))) % 1.24/1.44 (assume @p385 (forall (@list @t89 @t317 @t8) (=> @t603 (=> (tptp.hBOOL (tptp.hAPP @t150 @t317)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t317) @t587)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.hAPP (tptp.hAPP @t582 @t317) @t486)) @t317))))))) % 1.24/1.44 (assume @p386 (forall @t451 (=> @t284 (=> @t601 (tptp.c_SEQ_Omonoseq tptp.tc_RealDef_Oreal @t600))))) % 1.24/1.44 (assume @p387 (forall @t605 (=> @t242 (= (tptp.hAPP @t591 @t7) @t604)))) % 1.24/1.44 (assume @p388 (forall @t605 (=> @t242 (= @t606 @t604)))) % 1.24/1.44 (assume @p389 (forall @t605 (=> @t242 (= @t604 @t606)))) % 1.24/1.44 (assume @p390 (forall @t88 (=> @t603 (not (tptp.hBOOL (tptp.hAPP @t607 @t82)))))) % 1.24/1.44 (assume @p391 (forall @t88 (=> @t603 (tptp.hBOOL (tptp.hAPP @t150 @t587))))) % 1.24/1.44 (assume @p392 (forall @t88 (=> @t603 (tptp.hBOOL (tptp.hAPP @t388 @t587))))) % 1.24/1.44 (assume @p393 (forall @t88 (=> @t603 (not (tptp.hBOOL (tptp.hAPP @t608 @t82)))))) % 1.24/1.44 (assume @p394 (forall (@list @t89 @t113 @t8) (=> @t603 (=> (tptp.hBOOL (tptp.hAPP @t608 @t113)) (=> (tptp.hBOOL (tptp.hAPP @t608 @t89)) (tptp.hBOOL (tptp.hAPP @t608 (tptp.hAPP @t609 @t89)))))))) % 1.24/1.44 (assume @p395 (forall @t45 (=> @t331 (=> @t612 (=> @t611 (=> @t610 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t109) @t7)))))))) % 1.24/1.44 (assume @p396 (forall @t45 (=> @t331 (=> @t612 (=> @t611 (=> @t610 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t614) @t7)))))))) % 1.24/1.44 (assume @p397 (forall (@list @t24 @t7 @t89) (=> @t368 (= (tptp.c_NthRoot_Oroot @t89 (tptp.hAPP @t579 @t24)) (tptp.hAPP @t577 @t24))))) % 1.24/1.44 (assume @p398 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t522) @t572)) % 1.24/1.44 (assume @p399 (forall @t559 (=> @t373 (= (= @t555 @t572) @t615)))) % 1.24/1.44 (assume @p400 (forall @t91 (=> @t368 (= (tptp.c_NthRoot_Oroot @t89 @t572) @t572)))) % 1.24/1.44 (assume @p401 (forall @t415 (=> @t425 (= (tptp.c_NthRoot_Oroot @t486 (tptp.hAPP @t579 @t486)) @t7)))) % 1.24/1.44 (assume @p402 (forall @t575 (=> @t368 (=> @t574 (=> @t617 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t571) @t541))))))) % 1.24/1.44 (assume @p403 (forall @t559 (=> @t373 (= (tptp.hBOOL (tptp.hAPP @t557 @t572)) @t601)))) % 1.24/1.44 (assume @p404 (forall @t568 (=> @t373 (= (tptp.hBOOL (tptp.hAPP @t616 @t554)) (tptp.hBOOL (tptp.hAPP @t616 @t47)))))) % 1.24/1.44 (assume @p405 (forall @t568 (=> @t373 (= (tptp.hBOOL (tptp.hAPP @t618 @t554)) (tptp.hBOOL (tptp.hAPP @t618 @t47)))))) % 1.24/1.44 (assume @p406 (forall @t559 (=> @t373 (= (tptp.hBOOL (tptp.hAPP @t560 @t572)) @t619)))) % 1.24/1.44 (assume @p407 (forall @t575 (=> @t368 (=> @t574 (=> @t620 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t571) @t541))))))) % 1.24/1.44 (assume @p408 (forall (@list @t7 @t40 @t89) (=> @t368 (=> @t548 (=> (= (tptp.hAPP (tptp.hAPP @t576 @t40) @t89) @t7) (= @t541 @t40)))))) % 1.24/1.44 (assume @p409 (forall @t627 (=> @t603 (=> @t341 (=> @t164 (=> @t368 @t626)))))) % 1.24/1.44 (assume @p410 (forall @t629 (=> @t603 (=> @t628 (=> @t368 (tptp.hBOOL (tptp.hAPP @t608 @t624))))))) % 1.24/1.44 (assume @p411 (forall @t634 (=> @t603 (=> @t633 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t632) @t631)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t46) @t47))))))) % 1.24/1.44 (assume @p412 (forall @t636 (=> @t603 (=> @t628 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t635) @t624)) @t116))))) % 1.24/1.44 (assume @p413 (forall @t639 (=> @t603 (=> @t638 (=> @t164 (=> (tptp.hBOOL (tptp.hAPP @t73 @t587)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t637) @t624)))))))) % 1.24/1.44 (assume @p414 (forall @t140 (=> @t596 (= (tptp.hAPP @t623 @t640) @t64)))) % 1.24/1.44 (assume @p415 (forall @t11 (=> @t242 (= (tptp.hAPP @t583 @t640) @t7)))) % 1.24/1.44 (assume @p416 (forall @t91 (= (tptp.hAPP (tptp.hAPP @t182 @t640) @t89) @t89))) % 1.24/1.44 (assume @p417 (forall @t188 (= (= @t640 @t187) @t641))) % 1.24/1.44 (assume @p418 (forall @t91 (= (tptp.hAPP @t254 @t640) @t89))) % 1.24/1.44 (assume @p419 (forall @t188 (= (= @t187 @t640) @t641))) % 1.24/1.44 (assume @p420 (forall @t91 (= (tptp.hAPP (tptp.hAPP @t642 @t522) @t89) @t522))) % 1.24/1.44 (assume @p421 (forall (@list @t118 @t46) (= (= (tptp.hAPP @t643 @t118) @t522) (or @t185 (= @t46 @t522))))) % 1.24/1.44 (assume @p422 (forall (@list @t89 @t113 @t25) (=> (tptp.hBOOL (tptp.hAPP @t313 @t25)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.hAPP @t644 @t113)) @t645)) @t372)))) % 1.24/1.44 (assume @p423 (forall @t648 (= @t647 (or @t646 @t95)))) % 1.24/1.44 (assume @p424 (forall @t649 (=> (tptp.hBOOL (tptp.hAPP @t530 @t25)) (tptp.hBOOL (tptp.hAPP @t530 @t645))))) % 1.24/1.44 (assume @p425 (forall @t648 (= @t647 (or @t95 @t646)))) % 1.24/1.44 (assume @p426 (forall @t117 (= @t651 @t650))) % 1.24/1.44 (assume @p427 (forall @t117 (= @t650 @t651))) % 1.24/1.44 (assume @p428 (= @t640 @t522)) % 1.24/1.44 (assume @p429 (forall @t117 (=> (= @t113 @t216) (or (= @t89 @t640) @t652)))) % 1.24/1.44 (assume @p430 (= (tptp.hAPP tptp.c_Complex_OIm @t653) @t54)) % 1.24/1.44 (assume @p431 (= (tptp.hAPP tptp.c_Complex_ORe @t653) @t572)) % 1.24/1.44 (assume @p432 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t640) @t572)) % 1.24/1.44 (assume @p433 (= (tptp.c_RComplete_Onatfloor @t572) @t640)) % 1.24/1.44 (assume @p434 (= (tptp.c_RComplete_Onatceiling @t572) @t640)) % 1.24/1.44 (assume @p435 (forall @t415 (=> (= @t7 @t297) (= (tptp.c_RComplete_Onatfloor @t580) (tptp.hAPP (tptp.hAPP @t642 @t289) @t89))))) % 1.24/1.44 (assume @p436 (forall @t451 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t640) @t286)) @t654))) % 1.24/1.44 (assume @p437 (forall @t451 (= (tptp.hBOOL (tptp.hAPP @t283 @t640)) @t601))) % 1.24/1.44 (assume @p438 (forall @t629 (=> (tptp.class_Rings_Oring__1__no__zero__divisors @t8) (=> @t222 (not (= @t624 @t82)))))) % 1.24/1.44 (assume @p439 (forall @t629 (=> @t596 (= @t657 @t655)))) % 1.24/1.44 (assume @p440 (forall @t627 (=> @t595 (= (tptp.hAPP (tptp.hAPP @t582 @t135) @t89) (tptp.hAPP @t656 @t622))))) % 1.24/1.44 (assume @p441 (forall @t658 (=> @t596 (= (tptp.hAPP (tptp.hAPP @t582 @t587) @t89) @t587)))) % 1.24/1.44 (assume @p442 (forall @t636 (=> @t596 (= (tptp.hAPP @t623 @t216) (tptp.hAPP (tptp.hAPP @t582 @t635) @t89))))) % 1.24/1.44 (assume @p443 (forall @t627 (=> @t603 (=> @t75 (=> @t164 (tptp.hBOOL (tptp.hAPP @t659 @t622))))))) % 1.24/1.44 (assume @p444 (forall @t629 (=> @t603 (=> @t164 (tptp.hBOOL (tptp.hAPP @t150 @t624)))))) % 1.24/1.44 (assume @p445 (forall @t629 (=> @t603 (=> @t402 (tptp.hBOOL (tptp.hAPP @t388 @t624)))))) % 1.24/1.44 (assume @p446 (forall @t629 (=> @t603 (=> @t660 (tptp.hBOOL (tptp.hAPP @t607 @t624)))))) % 1.24/1.44 (assume @p447 (forall (@list @t92 @t143 @t8) (=> (and @t663 @t224 @t220 @t592) (= (= @t662 @t82) (and @t223 @t374))))) % 1.24/1.44 (assume @p448 (forall (@list @t92 @t118 @t143 @t8) (=> @t603 (=> (tptp.hBOOL (tptp.hAPP @t608 @t143)) (= (= (tptp.hAPP @t661 @t118) @t662) @t191))))) % 1.24/1.44 (assume @p449 (forall @t658 (=> @t665 (= (tptp.hAPP @t664 @t486) @t82)))) % 1.24/1.44 (assume @p450 (forall @t629 (=> @t663 (= @t666 @t655)))) % 1.24/1.44 (assume @p451 (forall @t629 (=> @t596 (= @t666 @t657)))) % 1.24/1.44 (assume @p452 (forall @t140 (=> @t663 (= (tptp.hAPP @t623 @t14) @t587)))) % 1.24/1.44 (assume @p453 (forall @t667 (=> @t603 (=> @t626 (=> @t163 @t341))))) % 1.24/1.44 (assume @p454 (forall @t667 (=> @t603 (=> (= @t666 @t668) (=> @t164 (=> @t163 @t78)))))) % 1.24/1.44 (assume @p455 (forall @t667 (=> @t603 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t666) @t668)) (=> @t163 @t75))))) % 1.24/1.44 (assume @p456 (forall @t629 (=> @t603 (=> @t628 (tptp.hBOOL (tptp.hAPP @t625 @t655)))))) % 1.24/1.44 (assume @p457 (forall @t629 (=> @t603 (=> @t628 (tptp.hBOOL (tptp.hAPP @t608 @t655)))))) % 1.24/1.44 (assume @p458 (forall @t658 (=> @t665 (and (=> @t369 (= @t669 @t587)) (=> @t370 (= @t669 @t82)))))) % 1.24/1.44 (assume @p459 (forall @t629 (=> @t603 (=> @t628 (tptp.hBOOL (tptp.hAPP @t608 @t666)))))) % 1.24/1.44 (assume @p460 (forall @t634 (=> @t603 (=> @t633 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t632) @t631)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t46) @t47))))))) % 1.24/1.44 (assume @p461 (forall @t636 (=> @t603 (=> @t628 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t635) @t624)) @t372))))) % 1.24/1.44 (assume @p462 (forall @t639 (=> @t603 (=> @t574 (=> @t628 (tptp.hBOOL (tptp.hAPP @t625 @t637))))))) % 1.24/1.44 (assume @p463 (forall @t639 (=> @t603 (=> @t638 (=> @t660 (tptp.hBOOL (tptp.hAPP @t659 @t637))))))) % 1.24/1.44 (assume @p464 (forall @t629 (=> @t603 (=> @t402 (=> @t670 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t655) @t624))))))) % 1.24/1.44 (assume @p465 (forall @t629 (=> @t603 (=> @t402 (=> @t670 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t666) @t587))))))) % 1.24/1.44 (assume @p466 (forall @t639 (=> @t603 (=> @t574 (=> @t402 (=> @t670 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t637) @t624)))))))) % 1.24/1.44 (assume @p467 (forall @t667 (=> @t603 (=> (= @t624 @t622) (=> @t164 (=> @t163 (=> @t368 @t78))))))) % 1.24/1.44 (assume @p468 (forall @t88 (=> @t663 (= @t582 (tptp.c_Power_Opower_Opower @t8 @t587 @t107))))) % 1.24/1.44 (assume @p469 (forall @t672 (=> @t368 (=> @t671 (exists @t6 (and (tptp.hBOOL (tptp.hAPP @t380 @t3)) (= (tptp.hAPP (tptp.hAPP @t576 @t3) @t89) @t64) (forall @t482 (=> (and (tptp.hBOOL (tptp.hAPP @t380 @t481)) (= (tptp.hAPP (tptp.hAPP @t576 @t481) @t89) @t64)) (= @t481 @t3))))))))) % 1.24/1.44 (assume @p470 (forall @t672 (=> @t368 (=> @t671 (exists @t676 (and @t675 (= (tptp.hAPP @t674 @t89) @t64))))))) % 1.24/1.44 (assume @p471 (forall @t415 (=> @t298 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t677 (tptp.hAPP @t680 @t7)) @t572)) (tptp.hAPP (tptp.hAPP @t576 @t679) @t89)))))) % 1.24/1.44 (assume @p472 (forall @t415 (=> @t425 (= (tptp.c_Transcendental_Oln @t580) (tptp.hAPP @t680 @t681))))) % 1.24/1.44 (assume @p473 (forall @t683 (=> @t292 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP @t682 @t7)) (tptp.hAPP @t682 @t40)))))) % 1.24/1.44 (assume @p474 (forall @t684 (= (tptp.hAPP (tptp.hAPP @t101 (tptp.hAPP (tptp.hAPP @t677 @t125) @t123)) @t17) (tptp.hAPP (tptp.hAPP @t677 (tptp.hAPP @t126 @t17)) (tptp.hAPP @t124 @t17))))) % 1.24/1.44 (assume @p475 (forall @t77 (=> (tptp.class_Groups_Oab__semigroup__add @t8) @t692))) % 1.24/1.44 (assume @p476 (forall (@list @t145 @t142 @t143 @t8) (=> @t696 (= (= (tptp.hAPP @t694 @t142) @t695) @t693)))) % 1.24/1.44 (assume @p477 (forall (@list @t145 @t143 @t142 @t8) (=> @t696 (= (= @t700 @t698) @t693)))) % 1.24/1.44 (assume @p478 (forall @t77 (=> @t696 @t702))) % 1.24/1.44 (assume @p479 (forall @t77 (=> (tptp.class_Groups_Ocancel__ab__semigroup__add @t8) @t702))) % 1.24/1.44 (assume @p480 (forall @t72 (=> @t696 (=> (= @t705 @t704) @t69)))) % 1.24/1.44 (assume @p481 (forall (@list @t65 @t64 @t8) (=> @t242 (= @t701 @t704)))) % 1.24/1.44 (assume @p482 (forall @t708 (=> @t242 (= @t707 (tptp.hAPP @t703 (tptp.hAPP @t688 @t226)))))) % 1.24/1.44 (assume @p483 (forall @t708 (=> @t242 (= @t707 (tptp.hAPP @t709 @t226))))) % 1.24/1.44 (assume @p484 (forall @t77 (=> @t242 @t692))) % 1.24/1.44 (assume @p485 (forall @t77 (=> @t242 (= @t691 (tptp.hAPP @t709 @t68))))) % 1.24/1.44 (assume @p486 (forall @t230 (=> @t242 (= (tptp.hAPP @t690 @t706) (tptp.hAPP @t709 @t710))))) % 1.24/1.44 (assume @p487 (forall @t322 (=> @t85 (=> @t321 (=> @t319 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t713) (tptp.hAPP (tptp.hAPP @t677 @t317) @t316)))))))) % 1.24/1.44 (assume @p488 (forall @t45 (=> @t85 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t713) (tptp.hAPP (tptp.hAPP @t677 @t87) @t100)))))) % 1.24/1.44 (assume @p489 (forall @t77 (=> (tptp.class_Rings_Ocomm__semiring @t8) @t715))) % 1.24/1.44 (assume @p490 (forall (@list @t65 @t68 @t716 @t64 @t8) (=> (tptp.class_Rings_Osemiring @t8) (= (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP @t134 @t716)) (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP @t132 @t716)) @t65)) (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP @t714 @t716)) @t65))))) % 1.24/1.44 (assume @p491 (forall @t720 (=> @t137 (= (tptp.hAPP @t134 (tptp.hAPP @t686 @t717)) (tptp.hAPP @t719 @t718))))) % 1.24/1.44 (assume @p492 (forall @t725 (=> @t137 (= (tptp.hAPP @t722 @t712) (tptp.hAPP (tptp.hAPP @t685 @t724) @t723))))) % 1.24/1.44 (assume @p493 (forall @t728 (=> @t137 (= (tptp.hAPP (tptp.hAPP @t107 (tptp.hAPP @t688 @t726)) @t68) (tptp.hAPP @t719 @t727))))) % 1.24/1.44 (assume @p494 (forall @t732 (=> @t137 (= (tptp.hAPP (tptp.hAPP @t107 @t712) @t729) (tptp.hAPP (tptp.hAPP @t685 @t731) @t730))))) % 1.24/1.44 (assume @p495 (forall @t63 (=> @t242 (= (tptp.hAPP @t108 (tptp.hAPP (tptp.hAPP @t685 @t40) @t20)) (tptp.hAPP (tptp.hAPP @t685 @t109) (tptp.hAPP @t108 @t20)))))) % 1.24/1.44 (assume @p496 (forall @t735 (=> @t734 (= (and (not @t144) (not @t733)) (not (= (tptp.hAPP (tptp.hAPP @t685 @t393) (tptp.hAPP @t391 @t562)) (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP @t158 @t562)) @t392))))))) % 1.24/1.44 (assume @p497 (forall @t77 (=> @t242 @t715))) % 1.24/1.44 (assume @p498 (forall (@list @t68 @t113 @t64 @t8) (=> @t242 (= (tptp.hAPP @t737 (tptp.hAPP @t132 @t113)) (tptp.hAPP @t714 @t113))))) % 1.24/1.44 (assume @p499 (forall (@list @t426 @t46 @t47 @t738 @t8) (=> @t734 (= (= (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP @t740 @t47)) (tptp.hAPP @t739 @t426)) (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP @t740 @t426)) (tptp.hAPP @t739 @t47))) (or (= @t738 @t46) (= @t47 @t426)))))) % 1.24/1.44 (assume @p500 (forall @t444 (=> @t743 (=> @t742 @t341)))) % 1.24/1.44 (assume @p501 (forall @t442 (=> @t743 (=> @t745 @t341)))) % 1.24/1.44 (assume @p502 (forall @t230 (=> @t748 (=> @t341 @t747)))) % 1.24/1.44 (assume @p503 (forall @t77 (=> @t748 (=> @t341 @t742)))) % 1.24/1.44 (assume @p504 (forall @t77 (=> @t748 (=> @t341 @t745)))) % 1.24/1.44 (assume @p505 (forall @t399 (=> @t743 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t698) @t749)) @t387)))) % 1.24/1.44 (assume @p506 (forall @t394 (=> @t743 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t695) @t750)) @t387)))) % 1.24/1.44 (assume @p507 (forall @t444 (=> @t743 (=> @t751 @t75)))) % 1.24/1.44 (assume @p508 (forall @t442 (=> @t743 (=> @t753 @t75)))) % 1.24/1.44 (assume @p509 (forall @t230 (=> @t754 (=> @t75 (=> @t229 (tptp.hBOOL (tptp.hAPP @t752 @t710))))))) % 1.24/1.44 (assume @p510 (forall @t77 (=> @t754 (=> @t75 @t751)))) % 1.24/1.44 (assume @p511 (forall @t77 (=> @t754 (=> @t75 @t753)))) % 1.24/1.44 (assume @p512 (forall @t399 (=> @t743 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t698) @t749)) @t434)))) % 1.24/1.44 (assume @p513 (forall @t394 (=> @t743 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t695) @t750)) @t434)))) % 1.24/1.44 (assume @p514 (forall @t140 (=> @t756 @t755))) % 1.24/1.44 (assume @p515 (forall @t140 (=> @t757 @t755))) % 1.24/1.44 (assume @p516 (forall @t760 (=> @t759 (= (= @t82 @t758) @t223)))) % 1.24/1.44 (assume @p517 (forall @t140 (=> @t756 @t761))) % 1.24/1.44 (assume @p518 (forall @t140 (=> @t757 @t761))) % 1.24/1.44 (assume @p519 (forall (@list @t143 @t142 @t8) (=> @t734 (= (= @t142 @t700) @t223)))) % 1.24/1.44 (assume @p520 (forall @t140 (=> @t242 @t755))) % 1.24/1.44 (assume @p521 (forall @t140 (=> @t242 @t761))) % 1.24/1.44 (assume @p522 (forall @t293 (=> @t425 (=> @t424 (= (tptp.c_Transcendental_Oln @t423) (tptp.hAPP (tptp.hAPP @t677 @t681) (tptp.c_Transcendental_Oln @t40))))))) % 1.24/1.44 (assume @p523 (forall @t290 (=> @t298 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_Transcendental_Oln (tptp.hAPP @t762 @t7))) @t7))))) % 1.24/1.44 (assume @p524 (forall @t760 (=> @t759 (= (tptp.hBOOL (tptp.hAPP @t150 @t758)) @t157)))) % 1.24/1.44 (assume @p525 (forall @t760 (=> @t759 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t758) @t82)) @t155)))) % 1.24/1.44 (assume @p526 (forall @t166 (=> @t763 (=> @t164 (=> @t163 (tptp.hBOOL (tptp.hAPP @t150 @t689))))))) % 1.24/1.44 (assume @p527 (forall @t52 (=> @t763 (=> (tptp.hBOOL (tptp.hAPP @t150 @t46)) (=> (tptp.hBOOL (tptp.hAPP @t150 @t47)) (= (= (tptp.hAPP (tptp.hAPP @t685 @t46) @t47) @t82) @t765)))))) % 1.24/1.44 (assume @p528 (forall @t77 (=> @t763 (=> @t164 (=> @t79 @t766))))) % 1.24/1.44 (assume @p529 (forall (@list @t64 @t68 @t65 @t8) (=> @t763 (=> @t175 (=> @t71 @t766))))) % 1.24/1.44 (assume @p530 (forall @t166 (=> @t763 (=> @t170 (=> @t168 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t689) @t82))))))) % 1.24/1.44 (assume @p531 (forall @t760 (=> @t759 (= (tptp.hBOOL (tptp.hAPP @t388 @t758)) (tptp.hBOOL (tptp.hAPP @t388 @t143)))))) % 1.24/1.44 (assume @p532 (forall @t760 (=> @t759 @t767))) % 1.24/1.44 (assume @p533 (forall @t166 (=> @t763 (=> @t402 @t769)))) % 1.24/1.44 (assume @p534 (forall @t166 (=> @t763 (=> @t407 @t771)))) % 1.24/1.44 (assume @p535 (forall @t77 (=> @t603 (=> @t402 @t773)))) % 1.24/1.44 (assume @p536 (forall @t230 (=> @t748 (=> @t75 @t747)))) % 1.24/1.44 (assume @p537 (forall @t230 (=> @t748 (=> @t341 (=> @t229 @t746))))) % 1.24/1.44 (assume @p538 (forall @t52 (=> @t160 (= (= @t774 @t82) @t765)))) % 1.24/1.44 (assume @p539 (forall (@list @t226 @t65 @t68 @t64 @t317 @t8) (=> @t734 (=> (not (= @t317 @t82)) (=> (and @t78 (not (= @t65 @t226))) (not (= (tptp.hAPP @t688 (tptp.hAPP @t775 @t65)) (tptp.hAPP @t686 (tptp.hAPP @t775 @t226))))))))) % 1.24/1.44 (assume @p540 (forall @t140 (=> @t603 (tptp.hBOOL (tptp.hAPP @t340 @t776))))) % 1.24/1.44 (assume @p541 (forall (@list @t113 @t64 @t8) (=> @t242 (= (tptp.hAPP @t737 @t113) @t777)))) % 1.24/1.44 (assume @p542 (forall (@list @t64 @t113 @t8) (=> @t242 (= (tptp.hAPP @t778 @t736) @t777)))) % 1.24/1.44 (assume @p543 (forall (@list @t113 @t8) (=> @t242 (= (tptp.hAPP @t778 @t113) (tptp.hAPP (tptp.hAPP @t107 @t779) @t113))))) % 1.24/1.44 (assume @p544 (forall @t378 (= (= (tptp.hAPP (tptp.hAPP @t677 @t450) (tptp.hAPP @t427 @t47)) @t54) (and @t449 (= @t47 @t54))))) % 1.24/1.44 (assume @p545 (forall @t290 (=> @t425 (tptp.hBOOL (tptp.hAPP @t780 @t7))))) % 1.24/1.44 (assume @p546 (forall @t378 (=> @t783 (=> @t569 (= (= @t782 @t781) @t50))))) % 1.24/1.44 (assume @p547 (forall @t378 (=> @t783 (=> @t569 (= (tptp.hBOOL (tptp.hAPP @t784 @t781)) @t377))))) % 1.24/1.44 (assume @p548 (= (tptp.c_Transcendental_Oln @t572) @t54)) % 1.24/1.44 (assume @p549 (forall @t166 (=> @t763 (=> @t402 (=> @t163 @t768))))) % 1.24/1.44 (assume @p550 (forall @t166 (=> @t763 (=> @t164 @t769)))) % 1.24/1.44 (assume @p551 (forall @t77 (=> @t763 (=> @t402 (=> @t79 @t772))))) % 1.24/1.44 (assume @p552 (forall @t77 (=> @t763 (=> @t164 @t773)))) % 1.24/1.44 (assume @p553 (forall @t166 (=> @t763 (=> @t407 (=> @t168 @t770))))) % 1.24/1.44 (assume @p554 (forall @t166 (=> @t763 (=> @t170 @t771)))) % 1.24/1.44 (assume @p555 (forall @t45 (=> @t151 (tptp.hBOOL (tptp.hAPP @t150 @t785))))) % 1.24/1.44 (assume @p556 (forall @t52 (=> @t160 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t774) @t82)) @t765)))) % 1.24/1.44 (assume @p557 (forall @t45 (=> @t151 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t785) @t82)))))) % 1.24/1.44 (assume @p558 (forall @t52 (=> @t160 (= (tptp.hBOOL (tptp.hAPP @t388 @t774)) (or @t446 (not @t764)))))) % 1.24/1.44 (assume @p559 (forall @t88 (=> @t603 (tptp.hBOOL (tptp.hAPP @t388 @t779))))) % 1.24/1.44 (assume @p560 (forall (@list @t143 @t787 @t786 @t8) (= (tptp.hAPP @t788 @t14) @t786))) % 1.24/1.44 (assume @p561 (forall (@list @t92 @t143 @t787 @t786 @t8) (= (tptp.hAPP @t788 @t510) (tptp.hAPP (tptp.hAPP @t787 @t143) (tptp.hAPP @t788 @t92))))) % 1.24/1.44 (assume @p562 (forall @t91 (= @t531 @t789))) % 1.24/1.44 (assume @p563 (forall @t293 (= (tptp.hAPP tptp.c_Complex_OIm @t794) @t792))) % 1.24/1.44 (assume @p564 (forall @t378 (=> @t783 (=> @t569 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t782) @t781)) @t375))))) % 1.24/1.44 (assume @p565 (forall @t290 (=> @t617 @t795))) % 1.24/1.44 (assume @p566 (forall @t290 (=> @t796 (=> @t425 @t620)))) % 1.24/1.44 (assume @p567 (forall @t290 (=> @t425 (=> @t573 (tptp.hBOOL (tptp.hAPP @t780 @t54)))))) % 1.24/1.44 (assume @p568 (forall @t451 (=> @t783 (= (tptp.hBOOL (tptp.hAPP @t784 @t54)) @t619)))) % 1.24/1.44 (assume @p569 (forall @t451 (=> @t783 (= (= @t782 @t54) @t615)))) % 1.24/1.44 (assume @p570 (forall @t451 (=> @t783 (= (tptp.hBOOL (tptp.hAPP @t380 @t782)) (tptp.hBOOL (tptp.hAPP @t618 @t46)))))) % 1.24/1.44 (assume @p571 (forall @t290 (=> @t620 @t796))) % 1.24/1.44 (assume @p572 (forall @t803 (=> (tptp.class_Rings_Olinordered__semiring__1 @t8) (=> (tptp.hBOOL (tptp.hAPP @t9 @t64)) (=> (tptp.hBOOL (tptp.hAPP @t41 @t64)) (=> @t802 (=> @t801 (=> @t800 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t799) @t64)))))))))) % 1.24/1.44 (assume @p573 (forall @t121 (= @t353 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t677 @t98) @t572)) @t120))))) % 1.24/1.44 (assume @p574 (forall @t121 (= @t141 (tptp.hBOOL (tptp.hAPP @t366 (tptp.hAPP (tptp.hAPP @t677 @t120) @t572)))))) % 1.24/1.44 (assume @p575 (forall @t290 (tptp.hBOOL (tptp.hAPP @t414 (tptp.hAPP (tptp.hAPP @t677 @t297) @t572))))) % 1.24/1.44 (assume @p576 (forall @t451 (=> @t783 (= (tptp.hBOOL (tptp.hAPP @t55 @t782)) @t654)))) % 1.24/1.44 (assume @p577 (forall @t290 (=> @t795 (=> @t425 @t617)))) % 1.24/1.44 (assume @p578 (forall @t803 (=> (tptp.class_Rings_Olinordered__semiring__1__strict @t8) (=> (tptp.hBOOL (tptp.hAPP @t326 @t64)) (=> (tptp.hBOOL (tptp.hAPP @t324 @t64)) (=> @t802 (=> @t801 (=> @t800 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t799) @t64)))))))))) % 1.24/1.44 (assume @p579 (forall @t565 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t104) @t7)) (=> (tptp.hBOOL (tptp.hAPP @t414 @t789)) (= @t289 @t89))))) % 1.24/1.44 (assume @p580 (forall @t760 (=> @t331 @t767))) % 1.24/1.44 (assume @p581 (forall @t565 (=> (tptp.hBOOL (tptp.hAPP @t433 @t7)) (=> (tptp.hBOOL (tptp.hAPP @t291 @t789)) (= @t294 @t806))))) % 1.24/1.44 (assume @p582 (forall @t760 (=> @t759 (= (= @t758 @t82) @t223)))) % 1.24/1.44 (assume @p583 (forall @t290 (=> @t298 (= (tptp.c_RComplete_Onatceiling @t679) (tptp.hAPP @t807 @t640))))) % 1.24/1.44 (assume @p584 (forall @t683 (= (tptp.hAPP @t809 @t813) (tptp.hAPP (tptp.hAPP @t811 @t810) (tptp.hAPP @t809 @t20))))) % 1.24/1.44 (assume @p585 (forall @t91 (= (tptp.hAPP (tptp.hAPP @t804 @t14) @t89) @t89))) % 1.24/1.44 (assume @p586 (forall @t184 (= (tptp.hAPP @t814 @t14) @t113))) % 1.24/1.44 (assume @p587 (forall @t188 (= (= @t816 @t14) (and @t185 @t95)))) % 1.24/1.44 (assume @p588 (forall @t117 (=> (= @t817 @t113) @t369))) % 1.24/1.44 (assume @p589 (forall @t117 (= @t819 @t818))) % 1.24/1.44 (assume @p590 (forall @t117 (= @t819 @t820))) % 1.24/1.44 (assume @p591 (forall @t117 (= @t818 @t820))) % 1.24/1.44 (assume @p592 (forall @t822 (=> (tptp.hBOOL (tptp.hAPP @t357 @t20)) @t821))) % 1.24/1.44 (assume @p593 (forall @t683 (=> @t358 @t821))) % 1.24/1.44 (assume @p594 (forall @t32 (=> (tptp.hBOOL (tptp.hAPP @t825 @t24)) (tptp.hBOOL (tptp.hAPP @t420 @t24))))) % 1.24/1.44 (assume @p595 (forall (@list @t89 @t113 @t202 @t24) (=> @t828 (=> (= (tptp.hAPP @t814 @t202) @t827) @t372)))) % 1.24/1.44 (assume @p596 (forall @t209 (=> @t421 (=> @t828 (tptp.hBOOL (tptp.hAPP @t832 @t830)))))) % 1.24/1.44 (assume @p597 (forall @t32 (=> @t421 (tptp.hBOOL (tptp.hAPP @t832 @t833))))) % 1.24/1.44 (assume @p598 (forall @t835 (=> @t421 (tptp.hBOOL (tptp.hAPP @t420 @t834))))) % 1.24/1.44 (assume @p599 (forall @t835 (=> @t421 (tptp.hBOOL (tptp.hAPP @t420 @t836))))) % 1.24/1.44 (assume @p600 (forall @t197 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t839) @t838)) @t355))) % 1.24/1.44 (assume @p601 (forall (@list @t25 @t28) (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t840) @t25))))) % 1.24/1.44 (assume @p602 (forall (@list @t28 @t25) (not (tptp.hBOOL (tptp.hAPP @t825 @t25))))) % 1.24/1.44 (assume @p603 (forall @t683 (=> @t454 @t841))) % 1.24/1.44 (assume @p604 (forall @t822 (=> (tptp.hBOOL (tptp.hAPP @t299 @t20)) @t841))) % 1.24/1.44 (assume @p605 (forall @t845 (=> @t844 (not (=> @t116 (not @t842)))))) % 1.24/1.44 (assume @p606 (forall @t845 (=> @t844 @t116))) % 1.24/1.44 (assume @p607 (forall @t845 (=> @t844 @t842))) % 1.24/1.44 (assume @p608 (forall @t209 (=> @t131 (=> @t208 (tptp.hBOOL (tptp.hAPP @t846 @t830)))))) % 1.24/1.44 (assume @p609 (forall @t32 (=> @t131 (tptp.hBOOL (tptp.hAPP @t846 @t833))))) % 1.24/1.44 (assume @p610 (forall @t835 (=> @t131 (tptp.hBOOL (tptp.hAPP @t129 @t834))))) % 1.24/1.44 (assume @p611 (forall @t835 (=> @t131 (tptp.hBOOL (tptp.hAPP @t129 @t836))))) % 1.24/1.44 (assume @p612 (forall @t197 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t839) @t838)) @t311))) % 1.24/1.44 (assume @p613 (forall @t188 (= @t311 (exists @t849 (= @t92 @t848))))) % 1.24/1.44 (assume @p614 (forall @t852 (= (tptp.hBOOL (tptp.hAPP @t851 @t850)) (exists @t13 (= @t850 (tptp.hAPP @t837 @t12)))))) % 1.24/1.44 (assume @p615 (forall @t361 (tptp.hBOOL (tptp.hAPP @t105 @t853)))) % 1.24/1.44 (assume @p616 (forall @t361 (tptp.hBOOL (tptp.hAPP @t105 @t817)))) % 1.24/1.44 (assume @p617 (forall (@list @t24 @t28 @t798 @t25) (= (tptp.hAPP @t855 (tptp.hAPP @t854 @t24)) (tptp.hAPP (tptp.hAPP @t804 (tptp.hAPP (tptp.hAPP @t182 @t824) @t798)) @t24)))) % 1.24/1.44 (assume @p618 (forall @t858 (= (tptp.hAPP @t210 @t817) (tptp.hAPP (tptp.hAPP @t804 @t857) @t856)))) % 1.24/1.44 (assume @p619 (forall @t256 (= (tptp.hAPP (tptp.hAPP @t182 @t817) @t24) (tptp.hAPP (tptp.hAPP @t804 @t859) @t255)))) % 1.24/1.44 (assume @p620 (forall @t306 (=> @t756 (= (tptp.hAPP (tptp.hAPP @t860 @t275) @t303) @t303)))) % 1.24/1.44 (assume @p621 (forall @t309 (=> @t756 (= (tptp.hAPP @t861 @t275) @t307)))) % 1.24/1.44 (assume @p622 (forall @t117 (= @t817 @t853))) % 1.24/1.44 (assume @p623 (forall @t683 (= (tptp.hAPP @t862 @t813) (tptp.hAPP @t812 (tptp.hAPP @t862 @t20))))) % 1.24/1.44 (assume @p624 (forall @t256 (= (tptp.hAPP (tptp.hAPP @t804 @t817) @t24) (tptp.hAPP @t814 @t863)))) % 1.24/1.44 (assume @p625 (forall @t197 (= (= @t839 @t838) @t191))) % 1.24/1.44 (assume @p626 (forall @t201 (= (= (tptp.hAPP @t815 @t189) (tptp.hAPP (tptp.hAPP @t804 @t92) @t189)) @t191))) % 1.24/1.44 (assume @p627 (forall (@list @t317 @t303 @t307 @t8) (=> @t305 (= (tptp.hAPP (tptp.hAPP @t304 (tptp.hAPP @t861 @t303)) @t317) (tptp.hAPP (tptp.hAPP @t860 (tptp.hAPP @t308 @t317)) (tptp.hAPP (tptp.hAPP @t304 @t303) @t317)))))) % 1.24/1.44 (assume @p628 (forall @t865 (=> @t85 (=> @t458 @t864)))) % 1.24/1.44 (assume @p629 (forall @t865 (=> @t85 (=> @t864 @t458)))) % 1.24/1.44 (assume @p630 (forall @t636 (=> @t596 (= (tptp.hAPP @t623 @t817) (tptp.hAPP (tptp.hAPP @t107 @t635) @t624))))) % 1.24/1.44 (assume @p631 (forall @t599 (=> @t242 (= (tptp.hAPP (tptp.hAPP @t107 @t598) @t590) (tptp.hAPP @t583 (tptp.hAPP (tptp.hAPP @t804 @t307) @t303)))))) % 1.24/1.44 (assume @p632 (forall @t188 (= (= @t522 @t816) @t866))) % 1.24/1.44 (assume @p633 (forall @t188 (= (= @t816 @t522) @t866))) % 1.24/1.44 (assume @p634 (forall @t188 (= (tptp.hBOOL (tptp.hAPP @t313 @t816)) (or @t416 @t373)))) % 1.24/1.44 (assume @p635 (forall @t867 (tptp.hBOOL (tptp.hAPP @t420 (tptp.c_Nat_OSuc (tptp.hAPP @t823 @t113)))))) % 1.24/1.44 (assume @p636 (forall @t867 (tptp.hBOOL (tptp.hAPP @t420 (tptp.c_Nat_OSuc (tptp.hAPP @t814 @t25)))))) % 1.24/1.44 (assume @p637 (forall @t188 (= @t355 (exists @t849 (= @t92 (tptp.c_Nat_OSuc @t848)))))) % 1.24/1.44 (assume @p638 (forall @t117 (= (tptp.hAPP @t183 @t486) (tptp.hAPP @t814 @t216)))) % 1.24/1.44 (assume @p639 (forall @t117 (= (tptp.hAPP (tptp.hAPP @t182 @t487) @t89) (tptp.hAPP @t805 @t216)))) % 1.24/1.44 (assume @p640 (forall @t91 (= @t486 (tptp.hAPP (tptp.hAPP @t804 @t640) @t89)))) % 1.24/1.44 (assume @p641 (forall @t91 (= @t486 @t806))) % 1.24/1.44 (assume @p642 (forall @t293 (= (tptp.hAPP tptp.c_Complex_ORe @t870) @t868))) % 1.24/1.44 (assume @p643 (forall @t293 (= (tptp.hAPP tptp.c_Complex_OIm @t870) @t871))) % 1.24/1.44 (assume @p644 (forall @t117 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t817) (tptp.hAPP (tptp.hAPP @t677 @t215) @t104)))) % 1.24/1.44 (assume @p645 (forall @t873 (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 @t17)) (tptp.hAPP (tptp.hAPP @t677 (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex (tptp.hAPP (tptp.hAPP @t869 @t17) @t20))) @t872))))) % 1.24/1.44 (assume @p646 (forall @t683 (= (tptp.hAPP (tptp.hAPP @t808 @t810) @t20) (tptp.hAPP @t809 (tptp.hAPP (tptp.hAPP @t182 @t40) @t20))))) % 1.24/1.44 (assume @p647 (forall @t301 (=> @t298 (= (tptp.c_RComplete_Onatfloor @t875) (tptp.hAPP @t874 @t64))))) % 1.24/1.44 (assume @p648 (forall (@list @t89 @t20) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t804 (tptp.c_RComplete_Onatfloor @t20)) @t640)) @t89)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t20) @t104))))) % 1.24/1.44 (assume @p649 (forall @t301 (=> @t298 (= (tptp.c_RComplete_Onatceiling @t875) (tptp.hAPP @t807 @t64))))) % 1.24/1.44 (assume @p650 (forall @t290 (=> @t298 (= (tptp.c_RComplete_Onatfloor @t679) (tptp.hAPP @t874 @t640))))) % 1.24/1.44 (assume @p651 (forall (@list @t89 @t68) (=> (not (= @t68 @t453)) (=> @t370 (exists (@list @t876) (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 @t869 @t653) (tptp.hAPP (tptp.hAPP @t793 @t68) (tptp.hAPP (tptp.hAPP @t877 @t876) @t89))))) @t572))))))) % 1.24/1.44 (assume @p652 (forall (@list @t92 @t363) (=> @t882 (=> (tptp.hBOOL @t364) (exists @t849 (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t847) @t92)) (forall @t880 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t878) @t847)) (not @t879))) (tptp.hBOOL (tptp.hAPP @t363 (tptp.hAPP (tptp.hAPP @t804 @t847) @t640))))))))) % 1.24/1.44 (assume @p653 (forall @t672 (= (tptp.c_Complex_Ocis (tptp.hAPP (tptp.hAPP @t101 @t531) @t64)) (tptp.hAPP @t886 @t884)))) % 1.24/1.44 (assume @p654 (forall @t602 (= (tptp.hAPP @t888 @t887) @t20))) % 1.24/1.44 (assume @p655 (forall @t602 (= (tptp.hAPP (tptp.hAPP @t811 @t887) @t20) @t20))) % 1.24/1.44 (assume @p656 (forall @t188 (=> (tptp.hBOOL (tptp.hAPP @t890 @t118)) (= (= (tptp.hAPP (tptp.hAPP @t811 @t118) @t92) @t887) (and (= @t118 @t887) (= @t92 @t887)))))) % 1.24/1.44 (assume @p657 (forall @t684 (= (tptp.hAPP (tptp.hAPP @t811 @t897) @t17) (tptp.hAPP (tptp.hAPP @t895 @t894) @t892)))) % 1.24/1.44 (assume @p658 (forall @t901 (= (tptp.hAPP @t898 @t897) (tptp.hAPP (tptp.hAPP @t895 @t900) @t899)))) % 1.24/1.44 (assume @p659 (forall @t32 (=> @t904 (=> @t903 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP @t902 @t25)) (tptp.hAPP @t902 @t28))))))) % 1.24/1.44 (assume @p660 (forall @t23 (= (tptp.hAPP @t888 @t17) (tptp.hAPP @t898 @t20)))) % 1.24/1.44 (assume @p661 (forall @t127 (= (tptp.hAPP (tptp.hAPP @t811 (tptp.hAPP @t893 @t123)) @t122) (tptp.hAPP @t893 (tptp.hAPP @t891 @t122))))) % 1.24/1.44 (assume @p662 (forall @t906 (= @t905 @t884))) % 1.24/1.44 (assume @p663 (forall @t279 (= (tptp.hAPP @t886 (tptp.c_Complex_Ocis @t68)) (tptp.c_Complex_Ocis @t908)))) % 1.24/1.44 (assume @p664 (= (tptp.c_Complex_Ocis @t54) @t653)) % 1.24/1.44 (assume @p665 (forall (@list @t89 @t64 @t317) (= (tptp.hAPP (tptp.hAPP @t877 @t909) @t89) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t576 @t317) @t89) @t883)))) % 1.24/1.44 (assume @p666 (= (tptp.c_Complex_Oexpi @t453) @t653)) % 1.24/1.44 (assume @p667 (forall @t672 (= (tptp.c_Transcendental_Ocos @t883) (tptp.hAPP tptp.c_Complex_ORe @t905)))) % 1.24/1.44 (assume @p668 (forall @t602 (not (= (tptp.hAPP (tptp.hAPP @t895 @t911) @t20) @t889)))) % 1.24/1.44 (assume @p669 (forall @t915 (= @t914 (tptp.hBOOL (tptp.hAPP @t912 @t426))))) % 1.24/1.44 (assume @p670 (forall @t915 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t895 @t738) @t887)) @t426)) @t916))) % 1.24/1.44 (assume @p671 (forall @t873 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t17) @t20)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t917 @t887)) @t20))))) % 1.24/1.44 (assume @p672 (forall @t915 (= @t914 (or @t916 (= @t738 @t426))))) % 1.24/1.44 (assume @p673 (forall @t602 (=> (tptp.hBOOL (tptp.hAPP @t918 @t20)) (tptp.hBOOL (tptp.hAPP @t890 @t911))))) % 1.24/1.44 (assume @p674 (forall @t920 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t895 (tptp.hAPP @t910 @t426)) @t426)) @t889)) (tptp.hBOOL (tptp.hAPP @t919 @t889))))) % 1.24/1.44 (assume @p675 (forall @t602 (= (tptp.hAPP @t921 @t889) @t20))) % 1.24/1.44 (assume @p676 (forall @t602 (= (tptp.hAPP (tptp.hAPP @t895 @t889) @t20) @t20))) % 1.24/1.44 (assume @p677 (forall @t127 (= (tptp.hAPP (tptp.hAPP @t895 @t897) @t122) (tptp.hAPP @t896 (tptp.hAPP (tptp.hAPP @t895 @t123) @t122))))) % 1.24/1.44 (assume @p678 (forall @t683 (= (tptp.hAPP @t922 (tptp.hAPP @t923 @t20)) (tptp.hAPP @t923 (tptp.hAPP @t922 @t20))))) % 1.24/1.44 (assume @p679 (forall @t23 (= (tptp.hAPP @t921 @t17) @t924))) % 1.24/1.44 (assume @p680 (forall @t32 (=> @t927 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint (tptp.hAPP @t925 @t25)) (tptp.hAPP @t925 @t28)))))) % 1.24/1.44 (assume @p681 (forall (@list @t20 @t928 @t17 @t929) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t929) @t17)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t928) @t20)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t895 @t929) @t928)) @t924)))))) % 1.24/1.44 (assume @p682 (forall @t32 (=> @t904 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t895 @t25) @t24)) (tptp.hAPP (tptp.hAPP @t895 @t28) @t24)))))) % 1.24/1.44 (assume @p683 (forall @t931 (= (tptp.hAPP tptp.c_Complex_ORe @t909) (tptp.hAPP @t318 @t930)))) % 1.24/1.44 (assume @p684 (forall @t290 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t932) @t572)))) % 1.24/1.44 (assume @p685 (= (tptp.c_Transcendental_Ocos @t54) @t572)) % 1.24/1.44 (assume @p686 (forall (@list @t738 @t426) (= (tptp.hBOOL (tptp.hAPP @t919 @t738)) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t426) @t738)) (not (= @t426 @t738)))))) % 1.24/1.44 (assume @p687 (forall @t293 (or (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t7) @t40)) @t53 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t40) @t7))))) % 1.24/1.44 (assume @p688 (tptp.hBOOL (tptp.hAPP @t890 @t887))) % 1.24/1.44 (assume @p689 (forall @t920 (= (tptp.hBOOL (tptp.hAPP @t933 @t426)) (tptp.hBOOL (tptp.hAPP @t890 @t426))))) % 1.24/1.44 (assume @p690 (not (= @t889 @t887))) % 1.24/1.44 (assume @p691 (forall @t934 (= (tptp.hAPP tptp.c_Complex_ORe @t885) @t930))) % 1.24/1.44 (assume @p692 (forall @t934 (= @t885 (tptp.c_Complex_Orcis @t572 @t64)))) % 1.24/1.44 (assume @p693 (forall @t934 (= (tptp.c_Complex_Orcis @t54 @t64) @t453))) % 1.24/1.44 (assume @p694 (forall (@list @t68 @t935 @t64 @t936) (= (tptp.hAPP (tptp.hAPP @t793 (tptp.c_Complex_Orcis @t936 @t64)) (tptp.c_Complex_Orcis @t935 @t68)) (tptp.c_Complex_Orcis (tptp.hAPP (tptp.hAPP @t101 @t936) @t935) @t908)))) % 1.24/1.44 (assume @p695 (forall @t279 (= (tptp.c_Complex_Oexpi (tptp.hAPP (tptp.hAPP @t869 @t64) @t68)) (tptp.hAPP (tptp.hAPP @t793 (tptp.c_Complex_Oexpi @t64)) (tptp.c_Complex_Oexpi @t68))))) % 1.24/1.44 (assume @p696 (forall @t941 (=> @t940 (=> @t939 (=> @t938 (tptp.hBOOL (tptp.hAPP @t937 @t887))))))) % 1.24/1.44 (assume @p697 (forall @t941 (=> @t940 (=> @t939 (=> (tptp.hBOOL (tptp.hAPP @t942 @t64)) (tptp.hBOOL (tptp.hAPP @t933 @t303))))))) % 1.24/1.44 (assume @p698 (forall @t950 (=> @t949 (=> @t947 (=> @t944 (tptp.hBOOL (tptp.hAPP @t918 @t943))))))) % 1.24/1.44 (assume @p699 (forall @t19 (tptp.hBOOL (tptp.hAPP @t951 @t17)))) % 1.24/1.44 (assume @p700 (forall @t23 (or @t953 @t952))) % 1.24/1.44 (assume @p701 (forall @t32 (=> @t927 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t28) @t24)) (tptp.hBOOL (tptp.hAPP @t926 @t24)))))) % 1.24/1.44 (assume @p702 (forall @t23 (=> @t953 (=> @t952 @t34)))) % 1.24/1.44 (assume @p703 (forall @t963 (=> @t962 (=> @t959 (=> @t958 (=> @t957 (=> @t944 (=> @t956 @t955)))))))) % 1.24/1.44 (assume @p704 (forall @t967 (=> @t966 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t317) @t889)) (=> (tptp.hBOOL (tptp.hAPP @t965 @t317)) (=> (tptp.hBOOL (tptp.hAPP @t965 @t945)) @t964)))))) % 1.24/1.44 (assume @p705 (forall @t963 (=> @t962 (=> @t949 (=> @t947 (=> @t938 (=> @t944 (=> @t956 @t964)))))))) % 1.24/1.44 (assume @p706 (forall @t967 (=> @t966 (=> @t957 (=> (tptp.hBOOL (tptp.hAPP @t946 @t68)) (=> @t958 @t955)))))) % 1.24/1.44 (assume @p707 (forall @t950 (=> @t959 (=> @t957 (=> @t944 (tptp.hBOOL (tptp.hAPP @t954 @t889))))))) % 1.24/1.44 (assume @p708 (forall @t415 (=> @t968 (tptp.hBOOL (tptp.hAPP @t918 (tptp.hAPP @t809 @t89)))))) % 1.24/1.44 (assume @p709 (forall @t293 (=> @t968 (=> @t969 (tptp.hBOOL (tptp.hAPP @t918 (tptp.hAPP (tptp.hAPP @t811 @t7) @t40))))))) % 1.24/1.44 (assume @p710 (forall @t293 (=> @t968 (=> @t969 (tptp.hBOOL (tptp.hAPP @t918 (tptp.hAPP @t922 @t40))))))) % 1.24/1.44 (assume @p711 (tptp.hBOOL (tptp.hAPP @t918 @t889))) % 1.24/1.44 (assume @p712 (tptp.hBOOL (tptp.hAPP @t918 @t887))) % 1.24/1.44 (assume @p713 (forall @t672 (= (tptp.c_Transcendental_Osin @t883) (tptp.hAPP tptp.c_Complex_OIm @t905)))) % 1.24/1.44 (assume @p714 (forall @t906 (=> @t671 (exists @t676 (and @t675 (= (tptp.hAPP @t674 @t486) @t64)))))) % 1.24/1.44 (assume @p715 (= (tptp.c_Transcendental_Osin @t54) @t54)) % 1.24/1.44 (assume @p716 (forall @t290 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t970) @t572)))) % 1.24/1.44 (assume @p717 (forall @t934 (= (tptp.hAPP tptp.c_Complex_OIm @t885) @t971))) % 1.24/1.44 (assume @p718 (forall @t290 (=> (= @t932 @t572) @t972))) % 1.24/1.44 (assume @p719 (forall @t293 (= (tptp.c_Transcendental_Osin @t979) (tptp.hAPP (tptp.hAPP @t677 @t978) @t975)))) % 1.24/1.44 (assume @p720 (forall @t931 (= (tptp.hAPP tptp.c_Complex_OIm @t909) (tptp.hAPP @t318 @t971)))) % 1.24/1.44 (assume @p721 (forall @t290 (= (tptp.hAPP (tptp.hAPP @t677 (tptp.hAPP @t974 @t932)) (tptp.hAPP @t977 @t970)) @t572))) % 1.24/1.44 (assume @p722 (forall (@list @t7 @t89 @t8) (=> @t596 (=> @t368 (= (tptp.hAPP (tptp.hAPP @t107 (tptp.hAPP @t583 @t980)) @t7) @t584))))) % 1.24/1.44 (assume @p723 (forall (@list @t113 @t89 @t8) (=> @t663 (and (=> @t369 (= @t982 @t587)) (=> @t370 (= @t982 (tptp.hAPP @t609 (tptp.hAPP @t981 @t980)))))))) % 1.24/1.44 (assume @p724 (forall @t161 (=> @t984 (= @t434 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t983) @t82)))))) % 1.24/1.44 (assume @p725 (forall @t197 (=> @t988 (=> @t987 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t986) @t985)) @t311))))) % 1.24/1.44 (assume @p726 (forall @t858 (=> (tptp.hBOOL (tptp.hAPP @t207 @t113)) (=> @t842 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 @t24) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 @t24)) @t989))))) % 1.24/1.44 (assume @p727 (forall @t197 (=> @t988 (=> @t987 (= (= @t986 @t985) @t191))))) % 1.24/1.44 (assume @p728 (forall @t649 (=> (tptp.hBOOL (tptp.hAPP @t129 @t89)) (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 @t25)) @t25)))) % 1.24/1.44 (assume @p729 (forall @t990 (=> @t116 (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 @t113 @t202)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 @t202)))))) % 1.24/1.44 (assume @p730 (forall @t990 (=> @t116 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t992) @t991))))) % 1.24/1.44 (assume @p731 (forall @t117 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t989) @t113)))) % 1.24/1.44 (assume @p732 (forall @t735 (=> @t984 (=> @t994 (= @t434 (tptp.hBOOL (tptp.hAPP @t993 @t562))))))) % 1.24/1.44 (assume @p733 (forall @t166 (=> @t85 (tptp.hBOOL (tptp.hAPP @t1000 @t996))))) % 1.24/1.44 (assume @p734 (forall @t117 (tptp.hBOOL (tptp.hAPP @t1001 @t487)))) % 1.24/1.44 (assume @p735 (forall @t361 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 @t853) @t14))) % 1.24/1.44 (assume @p736 (forall @t117 (=> @t116 @t1002))) % 1.24/1.44 (assume @p737 (forall @t188 (= (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t118 @t92) @t14) @t311))) % 1.24/1.44 (assume @p738 (forall @t361 (=> @t114 (= @t1003 (tptp.c_Nat_OSuc @t989))))) % 1.24/1.44 (assume @p739 (forall @t1008 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1005) @t1007)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1006) @t1004))))) % 1.24/1.44 (assume @p740 (forall @t117 (=> @t503 @t1009))) % 1.24/1.44 (assume @p741 (forall @t197 (=> @t988 (=> @t987 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t986) @t985)) @t355))))) % 1.24/1.44 (assume @p742 (forall @t1010 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t64) @t68)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t65) @t64)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t64 @t65)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t68 @t65))))))) % 1.24/1.44 (assume @p743 (forall @t1013 (=> @t1012 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t1011) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t831 @t28))))) % 1.24/1.44 (assume @p744 (forall (@list @t1005 @t189 @t1004) (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1007) @t1005)) (tptp.hBOOL (tptp.hAPP @t1014 @t1006))))) % 1.24/1.44 (assume @p745 (forall (@list @t113 @t89 @t24) (=> @t842 (tptp.hBOOL (tptp.hAPP @t115 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t853 @t24)))))) % 1.24/1.44 (assume @p746 (forall @t361 (=> @t114 @t1009))) % 1.24/1.44 (assume @p747 (forall @t1013 (=> @t1012 (= @t1016 @t1015)))) % 1.24/1.44 (assume @p748 (forall (@list @t1005 @t1004 @t189) (=> (tptp.hBOOL (tptp.hAPP @t851 @t1004)) (= (tptp.hBOOL (tptp.hAPP @t1017 @t1007)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1006) @t1004)))))) % 1.24/1.44 (assume @p749 (forall @t361 (=> @t114 (= (tptp.hAPP (tptp.hAPP @t804 @t989) @t89) @t113)))) % 1.24/1.44 (assume @p750 (forall @t1008 (=> @t1019 (= (= @t1018 @t189) (= @t1004 (tptp.hAPP @t837 @t1005)))))) % 1.24/1.44 (assume @p751 (forall @t1013 (=> @t1012 (= @t1015 @t1016)))) % 1.24/1.44 (assume @p752 (forall @t1013 (=> @t1012 (= @t1021 @t1020)))) % 1.24/1.44 (assume @p753 (forall @t1013 (=> @t1012 (= @t1020 @t1021)))) % 1.24/1.44 (assume @p754 (forall @t91 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t486 @t640) @t89))) % 1.24/1.44 (assume @p755 (forall @t117 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 @t486) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1022 @t89)))) % 1.24/1.44 (assume @p756 (forall @t732 (=> @t137 (= (tptp.hAPP @t1024 @t729) (tptp.c_Groups_Ominus__class_Ominus @t8 @t731 @t730))))) % 1.24/1.44 (assume @p757 (forall @t728 (=> @t137 (= (tptp.hAPP (tptp.hAPP @t107 (tptp.c_Groups_Ominus__class_Ominus @t8 @t64 @t726)) @t68) (tptp.c_Groups_Ominus__class_Ominus @t8 @t135 @t727))))) % 1.24/1.44 (assume @p758 (forall @t725 (=> @t137 (= (tptp.hAPP @t722 @t1023) (tptp.c_Groups_Ominus__class_Ominus @t8 @t724 @t723))))) % 1.24/1.44 (assume @p759 (forall @t720 (=> @t137 (= (tptp.hAPP @t134 (tptp.c_Groups_Ominus__class_Ominus @t8 @t68 @t717)) (tptp.c_Groups_Ominus__class_Ominus @t8 @t135 @t718))))) % 1.24/1.44 (assume @p760 (forall @t256 (= (tptp.hAPP (tptp.hAPP @t182 @t989) @t24) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t859 @t255)))) % 1.24/1.44 (assume @p761 (forall @t858 (= (tptp.hAPP @t210 @t989) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t857 @t856)))) % 1.24/1.44 (assume @p762 (forall @t166 (=> @t85 (= @t996 (tptp.c_RealVector_Onorm__class_Onorm @t8 @t1025))))) % 1.24/1.44 (assume @p763 (forall @t117 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t487 @t486) @t989))) % 1.24/1.44 (assume @p764 (forall @t256 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1003 (tptp.c_Nat_OSuc @t24)) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t989 @t24)))) % 1.24/1.44 (assume @p765 (forall (@list @t46 @t1026 @t1027 @t35 @t8) (=> (tptp.class_Groups_Ominus @t8) (= (tptp.hAPP (tptp.c_Groups_Ominus__class_Ominus (tptp.tc_fun @t35 @t8) @t1027 @t1026) @t46) (tptp.c_Groups_Ominus__class_Ominus @t8 (tptp.hAPP @t1027 @t46) (tptp.hAPP @t1026 @t46)))))) % 1.24/1.44 (assume @p766 (forall @t735 (=> @t1028 (=> @t994 (= @t144 @t733))))) % 1.24/1.44 (assume @p767 (forall @t32 (= @t1030 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t24) @t28)))) % 1.24/1.44 (assume @p768 (forall @t121 (= (tptp.hBOOL (tptp.hAPP @t313 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t92 @t118))) @t355))) % 1.24/1.44 (assume @p769 (forall @t361 (=> @t368 (=> @t544 (tptp.hBOOL (tptp.hAPP @t1001 @t113)))))) % 1.24/1.44 (assume @p770 (forall @t990 (=> @t372 (=> (tptp.hBOOL (tptp.hAPP @t371 @t202)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t992) @t991)))))) % 1.24/1.44 (assume @p771 (forall (@list @t89 @t24 @t28) (=> @t506 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t28 @t89)) @t24))))) % 1.24/1.44 (assume @p772 (forall @t735 (=> @t984 (=> @t994 (= @t387 (tptp.hBOOL (tptp.hAPP @t384 @t562))))))) % 1.24/1.44 (assume @p773 (forall @t161 (=> @t1032 (= @t1031 @t144)))) % 1.24/1.44 (assume @p774 (forall @t161 (=> @t1028 (= @t144 @t1031)))) % 1.24/1.44 (assume @p775 (forall @t140 (=> @t1032 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t64 @t64) @t82)))) % 1.24/1.44 (assume @p776 (forall @t140 (=> @t1032 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t64 @t82) @t64)))) % 1.24/1.44 (assume @p777 (forall @t91 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t14 @t89) @t14))) % 1.24/1.44 (assume @p778 (forall @t184 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 @t14) @t113))) % 1.24/1.44 (assume @p779 (forall @t184 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 @t113) @t14))) % 1.24/1.44 (assume @p780 (forall @t117 (=> @t1002 (=> (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 @t113) @t14) @t128)))) % 1.24/1.44 (assume @p781 (forall @t1038 (=> @t1037 (= @t1036 (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP @t108 @t1035)) @t1034))))) % 1.24/1.44 (assume @p782 (forall @t1038 (=> @t137 (= @t1036 (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP (tptp.hAPP @t685 (tptp.hAPP @t1033 @t1035)) @t1034)) (tptp.hAPP @t134 @t1035)))))) % 1.24/1.44 (assume @p783 (forall @t1044 (=> @t1037 (= @t1043 (= @t145 @t1040))))) % 1.24/1.44 (assume @p784 (forall @t1044 (=> @t1037 (= @t1043 (= @t1045 @t562))))) % 1.24/1.44 (assume @p785 (forall @t161 (=> @t984 (= @t387 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t983) @t82)))))) % 1.24/1.44 (assume @p786 (forall @t845 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t843 @t863) @t989))) % 1.24/1.44 (assume @p787 (forall @t858 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1046 @t827) @t989))) % 1.24/1.44 (assume @p788 (forall @t32 (= @t1030 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t25 @t833)))) % 1.24/1.44 (assume @p789 (forall @t361 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t853 @t89) @t113))) % 1.24/1.44 (assume @p790 (forall @t117 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t817 @t89) @t113))) % 1.24/1.44 (assume @p791 (forall @t166 (=> @t1032 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t689 @t68) @t64)))) % 1.24/1.44 (assume @p792 (forall @t166 (=> @t1032 (= (tptp.hAPP @t1047 @t68) @t64)))) % 1.24/1.44 (assume @p793 (forall @t1044 (=> @t171 (= @t1048 (tptp.hBOOL (tptp.hAPP @t993 @t1040)))))) % 1.24/1.44 (assume @p794 (forall @t1044 (=> @t171 (= @t1048 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t1045) @t562)))))) % 1.24/1.44 (assume @p795 (forall @t1044 (=> @t171 (= @t1049 (tptp.hBOOL (tptp.hAPP @t384 @t1040)))))) % 1.24/1.44 (assume @p796 (forall @t1044 (=> @t171 (= @t1049 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t1045) @t562)))))) % 1.24/1.44 (assume @p797 (forall @t11 (=> (tptp.class_Rings_Oring__1 @t8) (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t288 @t587) (tptp.hAPP (tptp.hAPP @t107 (tptp.hAPP @t711 @t587)) (tptp.c_Groups_Ominus__class_Ominus @t8 @t7 @t587)))))) % 1.24/1.44 (assume @p798 (forall @t166 (=> @t85 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t996) (tptp.hAPP (tptp.hAPP @t677 @t998) @t997)))))) % 1.24/1.44 (assume @p799 (forall (@list @t25 @t89) (=> @t368 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 @t505)) @t89))))) % 1.24/1.44 (assume @p800 (forall @t91 (=> @t368 (= (tptp.c_Nat_OSuc (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 @t522)) @t89)))) % 1.24/1.44 (assume @p801 (forall @t1056 (= @t1055 (and (=> @t1054 @t881) (forall @t1053 (=> @t1052 @t1051)))))) % 1.24/1.44 (assume @p802 (forall @t1056 (= @t1055 (not (or (and @t1054 @t882) (exists @t1053 (and @t1052 (not @t1051)))))))) % 1.24/1.44 (assume @p803 (forall @t1059 (=> @t1012 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 @t1058) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t843 @t1057))))) % 1.24/1.44 (assume @p804 (forall @t1059 (=> @t1012 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1058 @t113) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t1057 @t1046))))) % 1.24/1.44 (assume @p805 (forall @t1066 (=> @t1065 (= @t1064 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1061) @t92)))))) % 1.24/1.44 (assume @p806 (forall (@list @t89 @t113 @t798 @t25 @t28) (=> (tptp.hBOOL (tptp.hAPP @t130 @t25)) (= @t1067 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat (tptp.hAPP (tptp.hAPP @t804 (tptp.hAPP (tptp.hAPP @t182 @t1029) @t798)) @t113) @t89))))) % 1.24/1.44 (assume @p807 (forall @t1066 (=> @t1065 (= @t1068 (= @t1061 @t92))))) % 1.24/1.44 (assume @p808 (forall @t1070 (=> @t1019 (= @t1064 (tptp.hBOOL (tptp.hAPP @t310 @t1069)))))) % 1.24/1.44 (assume @p809 (forall (@list @t89 @t113 @t798 @t28 @t25) (=> @t131 (= @t1067 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 (tptp.hAPP (tptp.hAPP @t804 (tptp.hAPP (tptp.hAPP @t182 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t28 @t25)) @t798)) @t89)))))) % 1.24/1.44 (assume @p810 (forall @t1070 (=> @t1019 (= @t1068 (= @t118 @t1069))))) % 1.24/1.44 (assume @p811 (forall @t230 (=> @t85 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t8 @t1073)) (tptp.hAPP (tptp.hAPP @t677 (tptp.c_RealVector_Onorm__class_Onorm @t8 @t1072)) (tptp.c_RealVector_Onorm__class_Onorm @t8 @t1071))))))) % 1.24/1.44 (assume @p812 (forall (@list @t40 @t89 @t307 @t8) (=> @t596 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t307) @t89)) (= (tptp.hAPP @t589 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t486 @t307)) (tptp.hAPP (tptp.hAPP @t107 (tptp.hAPP @t589 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t89 @t307))) @t40)))))) % 1.24/1.44 (assume @p813 (forall @t91 (=> @t368 (= @t1074 @t89)))) % 1.24/1.44 (assume @p814 (forall @t91 (=> @t368 (= @t89 @t1074)))) % 1.24/1.44 (assume @p815 (forall @t117 (and (=> @t652 (= @t817 @t89)) (=> @t1075 (= @t817 (tptp.c_Nat_OSuc (tptp.hAPP (tptp.hAPP @t804 @t1022) @t89))))))) % 1.24/1.44 (assume @p816 (forall @t1070 (=> @t1019 (= @t1076 (tptp.hBOOL (tptp.hAPP @t354 @t1069)))))) % 1.24/1.44 (assume @p817 (forall @t1066 (=> @t1065 (= @t1076 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1061) @t92)))))) % 1.24/1.44 (assume @p818 (forall @t117 (and (=> @t652 (= @t216 @t14)) (=> @t1075 (= @t216 (tptp.hAPP @t805 (tptp.hAPP (tptp.hAPP @t182 @t1022) @t89))))))) % 1.24/1.44 (assume @p819 (forall (@list @t307 @t113) (and (=> @t652 (= @t1078 @t640)) (=> @t1075 (= @t1078 (tptp.hAPP @t597 (tptp.hAPP @t1077 @t1022))))))) % 1.24/1.44 (assume @p820 (forall @t45 (=> (tptp.class_Rings_Ocomm__ring__1 @t8) (= (tptp.c_Groups_Ominus__class_Ominus @t8 (tptp.hAPP @t583 @t532) (tptp.hAPP @t589 @t532)) (tptp.hAPP @t1024 @t712))))) % 1.24/1.44 (assume @p821 (forall @t536 (=> @t535 (exists @t13 (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 @t12 @t640))) @t317)) (tptp.hBOOL (tptp.hAPP @t534 @t479))))))) % 1.24/1.44 (assume @p822 (forall (@list @t233 @t1079 @t8 @t35) (=> (and @t476 @t76) (=> (forall @t13 (=> @t1081 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_RealVector_Onorm__class_Onorm @t35 (tptp.c_Groups_Ominus__class_Ominus @t35 @t1080 @t235))) @t572)))) (forall @t13 (=> @t1081 (tptp.hBOOL (tptp.hAPP @t478 (tptp.hAPP @t762 (tptp.c_RealVector_Onorm__class_Onorm @t35 @t1080)))))))))) % 1.24/1.44 (assume @p823 (forall @t378 (= @t375 (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 @t46 @t47)) @t54))))) % 1.24/1.44 (assume @p824 (forall @t901 (= (tptp.hAPP @t898 @t1082) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t900 @t899)))) % 1.24/1.44 (assume @p825 (forall @t684 (= (tptp.hAPP (tptp.hAPP @t811 @t1082) @t17) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t894 @t892)))) % 1.24/1.44 (assume @p826 (forall @t293 (= (tptp.hAPP tptp.c_Complex_ORe @t1084) @t1083))) % 1.24/1.44 (assume @p827 (forall @t293 (= (tptp.hAPP tptp.c_Complex_OIm @t1084) @t1085))) % 1.24/1.44 (assume @p828 (forall @t852 (= (tptp.hBOOL (tptp.hAPP @t1086 @t850)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t189 @t850)) @t889))))) % 1.24/1.44 (assume @p829 (forall @t309 (=> @t1028 (= (tptp.c_Groups_Ominus__class_Ominus @t274 @t307 @t275) @t307)))) % 1.24/1.44 (assume @p830 (forall @t166 (=> @t85 (tptp.hBOOL (tptp.hAPP @t1000 (tptp.c_RealVector_Onorm__class_Onorm @t8 @t689)))))) % 1.24/1.44 (assume @p831 (forall @t915 (= (tptp.hBOOL (tptp.hAPP @t912 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t426 @t887))) @t916))) % 1.24/1.44 (assume @p832 (forall @t361 (=> @t114 (= (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t989) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t215 @t104))))) % 1.24/1.44 (assume @p833 (forall @t293 (= @t1088 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t978 @t975)))) % 1.24/1.44 (assume @p834 (forall @t293 (= @t1088 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.hAPP @t1090 @t970) (tptp.hAPP @t1089 @t932))))) % 1.24/1.44 (assume @p835 (forall (@list @t64 @t68) (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 @t869 @t68) @t64)) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t68))) (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t64))))) % 1.24/1.44 (assume @p836 (forall @t293 (= (tptp.c_Transcendental_Ocos @t979) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t1092 @t1091)))) % 1.24/1.44 (assume @p837 (forall @t293 (= @t1093 (tptp.hAPP (tptp.hAPP @t677 @t1092) @t1091)))) % 1.24/1.44 (assume @p838 (forall @t293 (= @t1093 (tptp.hAPP (tptp.hAPP @t677 (tptp.hAPP @t1090 @t932)) (tptp.hAPP @t1089 @t970))))) % 1.24/1.44 (assume @p839 (forall @t1096 (=> @t1095 (= (tptp.c_RComplete_Onatfloor @t1094) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t289 @t64))))) % 1.24/1.44 (assume @p840 (forall @t290 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t7 @t572)) @t297)))) % 1.24/1.44 (assume @p841 (forall @t1096 (=> @t1095 (= (tptp.c_RComplete_Onatceiling @t1094) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t294 @t64))))) % 1.24/1.44 (assume @p842 (forall @t293 (= (tptp.hAPP tptp.c_Complex_ORe @t794) @t1097))) % 1.24/1.44 (assume @p843 (forall @t602 (=> (= @t872 @t572) (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 @t1098 @t653))) @t572)) (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 @t20 @t653))) @t572)) (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 @t1098 tptp.c_Complex_Oii))) @t572)) (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 @t20 tptp.c_Complex_Oii))) @t572)))))) % 1.24/1.44 (assume @p844 (forall (@list @t24 @t113) (=> @t544 (=> @t903 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint (tptp.hAPP @t1099 @t113) @t24) (tptp.hAPP @t1099 (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Nat_Onat @t113 @t522))))))) % 1.24/1.44 (assume @p845 (forall @t444 (=> @t1105 (and (=> @t1102 (= @t1101 @t82)) @t1104)))) % 1.24/1.44 (assume @p846 (forall @t342 (=> @t1105 (=> @t221 (= (tptp.c_Divides_Odiv__class_Odiv @t8 @t135 @t68) @t64))))) % 1.24/1.44 (assume @p847 (forall @t342 (=> @t1105 (=> @t221 (= (tptp.c_Divides_Odiv__class_Odiv @t8 @t169 @t68) @t64))))) % 1.24/1.44 (assume @p848 (forall @t444 (=> @t1105 (=> @t1103 (= (tptp.c_Divides_Odiv__class_Odiv @t8 @t172 @t133) @t1100))))) % 1.24/1.44 (assume @p849 (forall @t444 (=> @t1105 @t1104))) % 1.24/1.44 (assume @p850 (forall @t934 (=> (not (= @t64 @t889)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t64 @t64) @t887)))) % 1.24/1.44 (assume @p851 (forall @t140 (=> @t1105 (= (tptp.c_Divides_Odiv__class_Odiv @t8 @t64 @t587) @t64)))) % 1.24/1.44 (assume @p852 (forall @t140 (=> @t1105 (=> @t222 (= (tptp.c_Divides_Odiv__class_Odiv @t8 @t64 @t64) @t587))))) % 1.24/1.44 (assume @p853 (forall @t1109 (=> @t1108 (= @t1107 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t143) @t889)))))) % 1.24/1.44 (assume @p854 (forall @t1109 (=> @t1110 (= @t1107 (tptp.hBOOL (tptp.hAPP @t890 @t143)))))) % 1.24/1.44 (assume @p855 (forall @t279 (=> @t1114 (=> @t1112 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1111) @t889)))))) % 1.24/1.44 (assume @p856 (forall (@list @t68) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t889 @t68) @t889))) % 1.24/1.44 (assume @p857 (forall @t293 (=> @t968 (=> @t969 (tptp.hBOOL (tptp.hAPP @t918 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t7 @t40))))))) % 1.24/1.44 (assume @p858 (forall @t140 (=> @t1105 (= (tptp.c_Divides_Odiv__class_Odiv @t8 @t64 @t82) @t82)))) % 1.24/1.44 (assume @p859 (forall @t140 (=> @t1105 (= (tptp.c_Divides_Odiv__class_Odiv @t8 @t82 @t64) @t82)))) % 1.24/1.44 (assume @p860 (not (= tptp.c_Complex_Oii @t653))) % 1.24/1.44 (assume @p861 (not (= tptp.c_Complex_Oii @t453))) % 1.24/1.44 (assume @p862 (= (tptp.hAPP tptp.c_Complex_ORe tptp.c_Complex_Oii) @t54)) % 1.24/1.44 (assume @p863 (forall @t1119 (=> @t1118 (=> @t1116 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1115) @t1111)))))) % 1.24/1.44 (assume @p864 (forall @t1119 (=> @t1118 (=> @t1112 (tptp.hBOOL (tptp.hAPP @t1120 @t1115)))))) % 1.24/1.44 (assume @p865 (forall @t279 (=> @t1122 (=> (tptp.hBOOL (tptp.hAPP @t965 @t64)) @t1121)))) % 1.24/1.44 (assume @p866 (forall @t1124 (=> @t1114 (=> @t944 (=> @t956 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1123) @t1111))))))) % 1.24/1.44 (assume @p867 (forall @t279 (=> @t1122 (=> @t1112 @t1125)))) % 1.24/1.44 (assume @p868 (forall @t1109 (=> @t1110 (= @t1126 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t143) @t889)))))) % 1.24/1.44 (assume @p869 (forall @t279 (=> @t1127 (=> (tptp.hBOOL (tptp.hAPP @t1113 @t68)) @t1121)))) % 1.24/1.44 (assume @p870 (forall @t279 (=> @t1127 (=> @t1116 @t1125)))) % 1.24/1.44 (assume @p871 (forall @t1124 (=> @t1127 (=> @t944 (=> @t956 (tptp.hBOOL (tptp.hAPP @t1120 @t1123))))))) % 1.24/1.44 (assume @p872 (forall @t1129 (=> @t1128 (= (tptp.hBOOL (tptp.hAPP @t890 @t1106)) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t142) @t143)) @t1108))))) % 1.24/1.44 (assume @p873 (forall (@list @t1005 @t189) (=> @t1131 (= (tptp.hBOOL (tptp.hAPP @t890 @t1130)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t189) @t1005)))))) % 1.24/1.44 (assume @p874 (forall @t1109 (=> @t1108 (= @t1126 @t1128)))) % 1.24/1.44 (assume @p875 (forall (@list @t189 @t1005) (= (= @t1130 @t889) (or @t1132 (and (tptp.hBOOL (tptp.hAPP @t918 @t1005)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1005) @t189))) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1005) @t889)) (tptp.hBOOL (tptp.hAPP @t1086 @t1005))))))) % 1.24/1.44 (assume @p876 (forall (@list @t24 @t7) (=> (tptp.hBOOL (tptp.hAPP @t890 @t7)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t887) @t24)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t7 @t24)) @t7)))))) % 1.24/1.44 (assume @p877 (forall (@list @t68 @t64 @t65) (=> (tptp.hBOOL (tptp.hAPP @t890 @t65)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t64 (tptp.hAPP @t960 @t65)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1111 @t65))))) % 1.24/1.44 (assume @p878 (= (tptp.hAPP tptp.c_Complex_OIm tptp.c_Complex_Oii) @t572)) % 1.24/1.44 (assume @p879 (forall @t72 (=> @t1105 (=> @t221 (= (tptp.c_Divides_Odiv__class_Odiv @t8 (tptp.hAPP @t688 @t133) @t68) @t1133))))) % 1.24/1.44 (assume @p880 (forall @t72 (=> @t1105 (=> @t221 (= (tptp.c_Divides_Odiv__class_Odiv @t8 (tptp.hAPP @t688 @t178) @t68) @t1133))))) % 1.24/1.44 (assume @p881 (forall @t342 (=> @t1105 (=> @t221 (= (tptp.c_Divides_Odiv__class_Odiv @t8 @t689 @t68) @t1134))))) % 1.24/1.44 (assume @p882 (forall @t342 (=> @t1105 (=> @t221 (= (tptp.c_Divides_Odiv__class_Odiv @t8 @t705 @t68) @t1134))))) % 1.24/1.44 (assume @p883 (forall (@list @t1137 @t40 @t1135 @t1136) (=> (= @t1136 (tptp.hAPP (tptp.hAPP @t895 (tptp.hAPP (tptp.hAPP @t811 @t1135) @t40)) @t1137)) (=> (and (=> @t1138 (and (tptp.hBOOL (tptp.hAPP @t918 @t1137)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1137) @t1135)))) (=> (not @t1138) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t1135) @t1137)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t1137) @t889))))) (=> (not (= @t1135 @t889)) (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t1136 @t1135) @t40)))))) % 1.24/1.44 (assume @p884 (forall @t1140 (= (tptp.hBOOL (tptp.hAPP @t363 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Int_Oint @t92 @t189))) (and (=> @t1132 (tptp.hBOOL (tptp.hAPP @t363 @t889))) (=> @t1131 (forall @t880 (=> (exists @t521 (and (tptp.hBOOL (tptp.hAPP @t918 @t519)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t519) @t189)) @t1139)) @t879))) (=> (tptp.hBOOL (tptp.hAPP @t1086 @t889)) (forall @t880 (=> (exists @t521 (and (tptp.hBOOL (tptp.hAPP @t1086 @t519)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Int_Oint @t519) @t889)) @t1139)) @t879))))))) % 1.24/1.44 (assume @p885 (forall @t293 (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 @t1084)) (tptp.hAPP (tptp.hAPP @t677 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t1083)) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t1085)))))) % 1.24/1.44 (assume @p886 (forall @t537 (and @t1143 (=> (not @t1142) (= @t1141 @t889))))) % 1.24/1.44 (assume @p887 (forall @t166 (=> @t1149 (tptp.hBOOL (tptp.hAPP @t1148 @t1144))))) % 1.24/1.44 (assume @p888 (forall @t166 (=> @t1149 (tptp.hBOOL (tptp.hAPP @t1148 @t1150))))) % 1.24/1.44 (assume @p889 (forall @t166 (=> @t1149 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Groups_Oabs__class_Oabs @t8 @t1147)) @t1150))))) % 1.24/1.44 (assume @p890 (forall @t166 (=> @t1149 (= @t1150 @t1144)))) % 1.24/1.44 (assume @p891 (forall @t166 (=> @t1149 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t1150) @t1151))))) % 1.24/1.44 (assume @p892 (forall @t230 (=> @t1149 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Groups_Oabs__class_Oabs @t8 @t1073)) (tptp.hAPP (tptp.hAPP @t685 (tptp.c_Groups_Oabs__class_Oabs @t8 @t1072)) (tptp.c_Groups_Oabs__class_Oabs @t8 @t1071))))))) % 1.24/1.44 (assume @p893 (forall (@list @t1152 @t143 @t46 @t8) (=> @t331 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 (tptp.c_Groups_Oabs__class_Oabs @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t46 @t143))) @t1152)) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 (tptp.c_Groups_Ominus__class_Ominus @t8 @t143 @t1152)) @t46)) (tptp.hBOOL (tptp.hAPP @t333 (tptp.hAPP @t694 @t1152)))))))) % 1.24/1.44 (assume @p894 (forall @t117 @t1154)) % 1.24/1.44 (assume @p895 (forall @t184 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t113 @t522) @t113))) % 1.24/1.44 (assume @p896 (forall @t256 (=> @t116 (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 @t113 @t24)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t89 @t24)))))) % 1.24/1.44 (assume @p897 (forall @t117 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat @t1153) @t113)))) % 1.24/1.44 (assume @p898 (forall @t1010 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t64 (tptp.hAPP (tptp.hAPP @t182 @t68) @t65)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t64 @t68) @t65)))) % 1.24/1.44 (assume @p899 (forall @t63 (=> (tptp.class_Fields_Ofield @t8) (= (tptp.c_Divides_Odiv__class_Odiv @t274 @t7 (tptp.hAPP (tptp.hAPP @t304 @t40) @t20)) (tptp.c_Divides_Odiv__class_Odiv @t274 (tptp.c_Divides_Odiv__class_Odiv @t274 @t7 @t40) @t20))))) % 1.24/1.44 (assume @p900 (forall @t858 (and (=> @t1157 (= @t1155 @t14)) (=> (not @t1157) @t1156)))) % 1.24/1.44 (assume @p901 (forall @t166 (=> @t1149 (= (tptp.c_Groups_Oabs__class_Oabs @t8 @t1151) @t1151)))) % 1.24/1.44 (assume @p902 (forall @t140 (=> @t1149 (not (tptp.hBOOL (tptp.hAPP @t1158 @t82)))))) % 1.24/1.44 (assume @p903 (forall @t760 (=> @t1149 (= (tptp.hBOOL (tptp.hAPP @t388 @t1159)) (not @t223))))) % 1.24/1.44 (assume @p904 (forall @t140 (=> @t1149 (=> @t402 @t1160)))) % 1.24/1.44 (assume @p905 (forall @t1163 (=> @t331 (=> (tptp.hBOOL (tptp.hAPP @t1158 @t65)) (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t1145) @t226)) (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless @t8 @t1162) (tptp.hAPP @t177 @t226)))))))) % 1.24/1.44 (assume @p906 (forall @t88 (=> @t331 (= (tptp.c_Groups_Oabs__class_Oabs @t8 @t587) @t587)))) % 1.24/1.44 (assume @p907 (forall @t88 (=> @t1149 (= (tptp.c_Groups_Oabs__class_Oabs @t8 @t82) @t82)))) % 1.24/1.44 (assume @p908 (forall @t760 (=> @t1149 (= (= @t1159 @t82) @t223)))) % 1.24/1.44 (assume @p909 (forall @t140 (=> @t1149 (= (tptp.c_Groups_Oabs__class_Oabs @t8 @t1146) @t1146)))) % 1.24/1.44 (assume @p910 (forall @t290 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t300) @t300))) % 1.24/1.44 (assume @p911 (forall @t140 (=> @t85 (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t998) @t998)))) % 1.24/1.44 (assume @p912 (forall @t536 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_RealDef_Oreal @t317) @t1164))) % 1.24/1.44 (assume @p913 (forall @t629 (=> @t331 (= (tptp.c_Groups_Oabs__class_Oabs @t8 @t624) @t1165)))) % 1.24/1.44 (assume @p914 (forall @t166 (=> @t331 @t1166))) % 1.24/1.44 (assume @p915 (forall @t140 (=> @t331 (= (tptp.hAPP @t1161 @t1146) @t149)))) % 1.24/1.44 (assume @p916 (forall @t140 (=> @t1149 (tptp.hBOOL (tptp.hAPP @t73 @t1146))))) % 1.24/1.44 (assume @p917 (forall @t166 (=> @t1149 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t1146) @t68)) @t75)))) % 1.24/1.44 (assume @p918 (forall @t166 (=> @t1149 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 (tptp.c_Groups_Oabs__class_Oabs @t8 @t689)) @t1151))))) % 1.24/1.44 (assume @p919 (forall @t140 (=> @t1149 (=> @t164 @t1160)))) % 1.24/1.44 (assume @p920 (forall @t760 (=> @t1149 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq @t8 @t1159) @t82)) @t223)))) % 1.24/1.44 (assume @p921 (forall @t140 (=> @t1149 (tptp.hBOOL (tptp.hAPP @t150 @t1146))))) % 1.24/1.44 (assume @p922 (forall @t629 (=> @t331 (tptp.hBOOL (tptp.hAPP @t150 @t1165))))) % 1.24/1.44 (assume @p923 (forall @t166 (=> (tptp.class_Rings_Oordered__ring__abs @t8) (=> (and (or @t164 @t170) (or @t163 @t168)) @t1166)))) % 1.24/1.44 (assume @p924 (forall @t45 (=> @t331 (=> @t612 (= (tptp.hAPP (tptp.hAPP @t107 (tptp.c_Groups_Oabs__class_Oabs @t8 @t40)) @t7) (tptp.c_Groups_Oabs__class_Oabs @t8 @t614)))))) % 1.24/1.44 (assume @p925 (forall @t931 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t909) @t1164))) % 1.24/1.44 (assume @p926 (forall @t256 (=> @t544 (=> @t116 (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 @t24 @t89)) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t24 @t113))))))) % 1.24/1.44 (assume @p927 (forall @t361 (=> @t368 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t216 @t89) @t113)))) % 1.24/1.44 (assume @p928 (forall @t361 (=> @t368 (= (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t257 @t89) @t113)))) % 1.24/1.44 (assume @p929 (forall @t858 (=> @t419 @t1156))) % 1.24/1.44 (assume @p930 (forall @t361 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t640) @t89)) (=> @t544 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Nat_Onat @t1153) @t113)))))) % 1.24/1.44 (assume @p931 (forall (@list @t40 @t7 @t65) (=> @t103 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1167) (tptp.hAPP @t102 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t40)))) (= @t7 @t54))))) % 1.24/1.44 (assume @p932 (forall @t290 (not (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal (tptp.hAPP (tptp.hAPP @t677 @t1167) @t572)) @t7))))) % 1.24/1.44 (assume @p933 (forall @t565 (=> @t368 (= (tptp.c_NthRoot_Oroot @t89 @t1167) (tptp.c_Groups_Oabs__class_Oabs tptp.tc_RealDef_Oreal @t541))))) % 1.24/1.44 (assume @p934 (forall @t290 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t1168) @t572)))) % 1.24/1.44 (assume @p935 (forall @t290 (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)) @t572)))) % 1.24/1.44 (assume @p936 (forall @t290 (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 @t464)) @t465)))) % 1.24/1.44 (assume @p937 (forall @t290 (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 @t462)) @t465)))) % 1.24/1.44 (assume @p938 (forall @t361 (=> @t368 (and @t1154 @t1170)))) % 1.24/1.44 (assume @p939 (forall @t361 (=> @t368 @t1170))) % 1.24/1.44 (assume @p940 (forall @t1140 (= (tptp.hBOOL (tptp.hAPP @t363 (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t92 @t189))) (and (=> @t190 @t881) (=> (not @t190) (forall (@list @t878 @t519) (=> (tptp.hBOOL (tptp.hAPP @t520 @t189)) (=> (= @t92 (tptp.hAPP (tptp.hAPP @t804 (tptp.hAPP @t193 @t878)) @t519)) @t879)))))))) % 1.24/1.44 (assume @p941 (forall @t166 (=> @t85 (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 @t999)) @t996))))) % 1.24/1.44 (assume @p942 (forall @t290 (tptp.hBOOL (tptp.hAPP @t380 (tptp.hAPP @t762 @t1167))))) % 1.24/1.44 (assume @p943 (forall @t290 (=> @t972 (= @t1168 @t572)))) % 1.24/1.44 (assume @p944 (forall (@list @t92 @t118 @t363) (= (tptp.hBOOL (tptp.hAPP @t363 @t1172)) (or (and @t95 @t881) (exists (@list @t1171) (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t198 @t1171)) @t118)) (tptp.hBOOL (tptp.hAPP @t354 (tptp.hAPP @t198 (tptp.c_Nat_OSuc @t1171)))) (tptp.hBOOL (tptp.hAPP @t363 @t1171)))))))) % 1.24/1.44 (assume @p945 (forall (@list @t118 @t1173 @t92) (=> @t373 (= (and (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_Nat_Onat (tptp.hAPP @t198 @t1173)) @t118)) (tptp.hBOOL (tptp.hAPP @t354 (tptp.hAPP @t198 (tptp.c_Nat_OSuc @t1173))))) (= @t1173 @t1172))))) % 1.24/1.44 (assume @p946 (forall @t361 (=> @t368 (=> @t114 @t1169)))) % 1.24/1.44 (assume @p947 (forall @t293 (=> @t968 (=> @t969 (tptp.hBOOL (tptp.hAPP @t918 @t1141)))))) % 1.24/1.44 (assume @p948 (forall @t537 @t1143)) % 1.24/1.44 (assume @p949 (forall @t1163 (=> @t1028 (= (tptp.c_Groups_Ominus__class_Ominus @t8 @t701 @t710) (tptp.hAPP @t1047 (tptp.c_Groups_Ominus__class_Ominus @t8 @t65 @t226)))))) % 1.24/1.44 (assume @p950 (forall @t293 (= @t794 (tptp.c_Complex_Ocomplex_OComplex @t1097 @t792)))) % 1.24/1.44 (assume @p951 (forall @t117 (=> (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint (tptp.hAPP (tptp.hAPP @t811 @t113) @t89)) @t887) (= (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t113) @t887)))) % 1.24/1.44 (assume @p952 (forall @t920 (= (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t426)) @t887)) (= @t426 @t889)))) % 1.24/1.44 (assume @p953 (forall @t1129 (= (= @t1175 @t453) (and (= @t143 @t54) @t1174)))) % 1.24/1.44 (assume @p954 (= @t453 (tptp.c_Complex_Ocomplex_OComplex @t54 @t54))) % 1.24/1.44 (assume @p955 (forall @t1178 (= (tptp.hAPP (tptp.hAPP @t869 @t1177) @t1176) (tptp.c_Complex_Ocomplex_OComplex (tptp.hAPP @t907 @t65) (tptp.hAPP (tptp.hAPP @t677 @t68) @t226))))) % 1.24/1.44 (assume @p956 (forall (@list @t1179 @t1181 @t1180 @t1182) (= (= @t1183 (tptp.c_Complex_Ocomplex_OComplex @t1181 @t1179)) (and (= @t1182 @t1181) (= @t1180 @t1179))))) % 1.24/1.44 (assume @p957 (forall @t293 (= (tptp.hAPP tptp.c_Complex_OIm @t1184) @t40))) % 1.24/1.44 (assume @p958 (forall @t293 (= (tptp.hAPP tptp.c_Complex_ORe @t1184) @t7))) % 1.24/1.44 (assume @p959 (forall @t602 (= (tptp.c_Complex_Ocomplex_OComplex (tptp.hAPP tptp.c_Complex_ORe @t20) (tptp.hAPP tptp.c_Complex_OIm @t20)) @t20))) % 1.24/1.44 (assume @p960 (forall @t1178 (= (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Complex_Ocomplex @t1177 @t1176) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t64 @t65) (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal @t68 @t226))))) % 1.24/1.44 (assume @p961 (forall @t415 (tptp.hBOOL (tptp.hAPP @t918 (tptp.hAPP (tptp.hAPP @t808 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t7)) @t89))))) % 1.24/1.44 (assume @p962 (forall @t378 (= (= (tptp.c_Complex_Ocomplex_OComplex @t46 @t47) tptp.c_Complex_Oii) (and @t449 (= @t47 @t572))))) % 1.24/1.44 (assume @p963 (= tptp.c_Complex_Oii (tptp.c_Complex_Ocomplex_OComplex @t54 @t572))) % 1.24/1.44 (assume @p964 (forall @t1129 (= (= @t1175 @t653) (and (= @t143 @t572) @t1174)))) % 1.24/1.44 (assume @p965 (= @t653 (tptp.c_Complex_Ocomplex_OComplex @t572 @t54))) % 1.24/1.44 (assume @p966 (forall @t934 (= @t885 @t1185))) % 1.24/1.44 (assume @p967 (forall @t648 (= (tptp.hBOOL (tptp.hAPP @t890 (tptp.hAPP (tptp.hAPP @t808 (tptp.c_Groups_Oabs__class_Oabs tptp.tc_Int_Oint @t46)) @t92))) (or (not (= @t46 @t889)) @t95)))) % 1.24/1.44 (assume @p968 (forall @t934 (= (tptp.c_RealVector_Onorm__class_Onorm tptp.tc_Complex_Ocomplex @t1185) @t572))) % 1.24/1.44 (assume @p969 (forall @t1178 (= (tptp.hAPP (tptp.hAPP @t793 @t1177) @t1176) (tptp.c_Complex_Ocomplex_OComplex (tptp.c_Groups_Ominus__class_Ominus tptp.tc_RealDef_Oreal (tptp.hAPP @t277 @t65) (tptp.hAPP @t1186 @t226)) (tptp.hAPP (tptp.hAPP @t677 (tptp.hAPP @t277 @t226)) (tptp.hAPP @t1186 @t65)))))) % 1.24/1.44 (assume @p970 (forall @t293 (= @t870 (tptp.c_Complex_Ocomplex_OComplex @t868 @t871)))) % 1.24/1.44 (assume @p971 (forall (@list @t20 @t7 @t226) (=> @t1188 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint (tptp.c_Groups_Ominus__class_Ominus tptp.tc_Int_Oint @t7 @t1187)) @t20))))) % 1.24/1.44 (assume @p972 (forall (@list @t7 @t20 @t226) (=> @t1188 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_Int_Oint @t20) (tptp.hAPP @t922 @t1187)))))) % 1.24/1.44 (assume @p973 (forall @t1192 (= (tptp.c_Complex_Ocomplex_Ocomplex__size @t1191) @t14))) % 1.24/1.44 (assume @p974 (forall @t1194 (=> @t424 @t1193))) % 1.24/1.44 (assume @p975 (forall @t1194 (=> (not (= @t40 @t54)) @t1193))) % 1.24/1.44 (assume @p976 (forall @t1194 (=> (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless tptp.tc_RealDef_Oreal @t40) @t54)) @t1193))) % 1.24/1.44 (assume @p977 (forall @t1192 (= (tptp.c_Nat_Osize__class_Osize tptp.tc_Complex_Ocomplex @t1191) @t14))) % 1.24/1.44 (assume @p978 (forall @t1197 (= (tptp.c_Complex_Ocomplex_Ocomplex__case @t8 @t1195 @t1183) @t1196))) % 1.24/1.44 (assume @p979 (forall @t1197 (= (tptp.c_Complex_Ocomplex_Ocomplex__rec @t8 @t1195 @t1183) @t1196))) % 1.24/1.44 (assume @p980 (forall @t293 (=> @t617 (=> (tptp.hBOOL (tptp.hAPP @t313 @t40)) (= (tptp.c_RComplete_Onatfloor (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t7 (tptp.c_RealDef_Oreal tptp.tc_Nat_Onat @t40))) (tptp.c_Divides_Odiv__class_Odiv tptp.tc_Nat_Onat @t289 @t40)))))) % 1.24/1.44 (assume @p981 (forall @t378 (= (tptp.hBOOL (tptp.hAPP @t55 (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t46 @t47))) (and (or @t566 @t567) (or @t284 (tptp.hBOOL (tptp.hAPP (tptp.c_Orderings_Oord__class_Oless__eq tptp.tc_RealDef_Oreal @t47) @t54))))))) % 1.24/1.44 (assume @p982 (forall @t77 (=> (tptp.class_Rings_Odivision__ring @t8) (= (tptp.hAPP @t134 (tptp.c_Rings_Oinverse__class_Odivide @t8 @t68 @t65)) (tptp.c_Rings_Oinverse__class_Odivide @t8 @t135 @t65))))) % 1.24/1.44 (assume @p983 (forall @t931 (= (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal (tptp.hAPP @t318 @t64) (tptp.hAPP @t318 @t317)) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t64 @t317)))) % 1.24/1.44 (assume @p984 (forall @t627 (=> @t1199 (= (tptp.hAPP (tptp.hAPP @t582 @t1198) @t89) (tptp.c_Rings_Oinverse__class_Odivide @t8 @t624 @t622))))) % 1.24/1.44 (assume @p985 (forall @t166 (=> (and @t1199 (tptp.class_RealVector_Oreal__normed__field @t8)) (= (tptp.c_RealVector_Onorm__class_Onorm @t8 @t1198) (tptp.c_Rings_Oinverse__class_Odivide tptp.tc_RealDef_Oreal @t998 @t997))))) % 1.24/1.44 (assume @p986 (forall @t1203 (=> @t1202 (tptp.class_Rings_Oidom @t1201)))) % 1.24/1.44 (assume @p987 (forall @t1203 (=> @t1204 (tptp.class_Groups_Ocancel__comm__monoid__add @t1201)))) % 1.24/1.44 (assume @p988 (forall @t1203 (=> @t1205 (tptp.class_Rings_Ocomm__ring @t1201)))) % 1.24/1.44 (assume @p989 (tptp.class_Rings_Oidom tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p990 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p991 (tptp.class_Rings_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p992 (tptp.class_Rings_Oidom tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p993 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p994 (tptp.class_Rings_Ocomm__ring tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p995 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p996 (tptp.class_Rings_Oidom tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p997 (tptp.class_Groups_Ocancel__comm__monoid__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p998 (tptp.class_Rings_Ocomm__ring tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p999 (forall @t1208 (=> (tptp.class_Orderings_Opreorder @t1200) (tptp.class_Orderings_Opreorder @t1207)))) % 1.24/1.44 (assume @p1000 (forall @t1208 (=> (tptp.class_Orderings_Oorder @t1200) (tptp.class_Orderings_Oorder @t1207)))) % 1.24/1.44 (assume @p1001 (forall @t1208 (=> (tptp.class_Orderings_Oord @t1200) (tptp.class_Orderings_Oord @t1207)))) % 1.24/1.44 (assume @p1002 (forall @t1208 (=> (tptp.class_Groups_Ominus @t1200) (tptp.class_Groups_Ominus @t1207)))) % 1.24/1.44 (assume @p1003 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1004 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1005 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1006 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1007 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1008 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1009 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1010 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1011 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1012 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1013 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1014 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1015 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1016 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1017 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1018 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1019 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1020 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1021 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1022 (tptp.class_Rings_Olinordered__semiring tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1023 (tptp.class_Rings_Olinordered__semidom tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1024 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1025 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1026 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1027 (tptp.class_Rings_Oordered__semiring tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1028 (tptp.class_Rings_Oordered__ring__abs tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1029 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1030 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1031 (tptp.class_Rings_Olinordered__ring tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1032 (tptp.class_Rings_Olinordered__idom tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1033 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1034 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1035 (tptp.class_Divides_Osemiring__div tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1036 (tptp.class_Rings_Ocomm__semiring tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1037 (tptp.class_Groups_Oab__group__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1038 (tptp.class_Rings_Ozero__neq__one tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1039 (tptp.class_Rings_Oordered__ring tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1040 (tptp.class_Orderings_Opreorder tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1041 (tptp.class_Orderings_Olinorder tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1042 (tptp.class_Groups_Omonoid__mult tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1043 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1044 (tptp.class_Groups_Omonoid__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1045 (tptp.class_Rings_Osemiring__0 tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1046 (tptp.class_Groups_Ogroup__add tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1047 (tptp.class_Rings_Omult__zero tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1048 (tptp.class_Orderings_Oorder tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1049 (tptp.class_Rings_Osemiring tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1050 (tptp.class_Orderings_Oord tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1051 (tptp.class_Rings_Oring__1 tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1052 (tptp.class_Groups_Ominus tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1053 (tptp.class_Power_Opower tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1054 (tptp.class_Groups_Ozero tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1055 (tptp.class_Rings_Oring tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1056 (tptp.class_Groups_Oone tptp.tc_Int_Oint)) % 1.24/1.44 (assume @p1057 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1058 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1059 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1060 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1061 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1062 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1063 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1064 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1065 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1066 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1067 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1068 (tptp.class_Rings_Olinordered__semiring tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1069 (tptp.class_Rings_Olinordered__semidom tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1070 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1071 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1072 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1073 (tptp.class_Rings_Oordered__semiring tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1074 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1075 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1076 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1077 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1078 (tptp.class_Divides_Osemiring__div tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1079 (tptp.class_Rings_Ocomm__semiring tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1080 (tptp.class_Rings_Ozero__neq__one tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1081 (tptp.class_Orderings_Opreorder tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1082 (tptp.class_Orderings_Olinorder tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1083 (tptp.class_Groups_Omonoid__mult tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1084 (tptp.class_Groups_Omonoid__add tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1085 (tptp.class_Rings_Osemiring__0 tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1086 (tptp.class_Rings_Omult__zero tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1087 (tptp.class_Orderings_Oorder tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1088 (tptp.class_Rings_Osemiring tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1089 (tptp.class_Orderings_Oord tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1090 (tptp.class_Groups_Ominus tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1091 (tptp.class_Power_Opower tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1092 (tptp.class_Groups_Ozero tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1093 (tptp.class_Groups_Oone tptp.tc_Nat_Onat)) % 1.24/1.44 (assume @p1094 (tptp.class_Orderings_Opreorder tptp.tc_HOL_Obool)) % 1.24/1.44 (assume @p1095 (tptp.class_Orderings_Oorder tptp.tc_HOL_Obool)) % 1.24/1.44 (assume @p1096 (tptp.class_Orderings_Oord tptp.tc_HOL_Obool)) % 1.24/1.44 (assume @p1097 (tptp.class_Groups_Ominus tptp.tc_HOL_Obool)) % 1.24/1.44 (assume @p1098 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1099 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1100 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1101 (tptp.class_Rings_Olinordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1102 (tptp.class_Rings_Olinordered__semiring__1__strict tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1103 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1104 (tptp.class_Rings_Olinordered__semiring__strict tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1105 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1106 (tptp.class_Groups_Oordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1107 (tptp.class_Groups_Oordered__ab__group__add__abs tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1108 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1109 (tptp.class_Groups_Oordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1110 (tptp.class_Groups_Olinordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1111 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1112 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1113 (tptp.class_Rings_Oordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1114 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1115 (tptp.class_Rings_Olinordered__ring__strict tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1116 (tptp.class_RealVector_Oreal__normed__field tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1117 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1118 (tptp.class_Rings_Oordered__comm__semiring tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1119 (tptp.class_Rings_Olinordered__semiring__1 tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1120 (tptp.class_Groups_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1121 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1122 (tptp.class_Rings_Olinordered__semiring tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1123 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1124 (tptp.class_Rings_Olinordered__semidom tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1125 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1126 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1127 (tptp.class_Groups_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1128 (tptp.class_Rings_Oordered__semiring tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1129 (tptp.class_Rings_Oordered__ring__abs tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1130 (tptp.class_Rings_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1131 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1132 (tptp.class_Rings_Olinordered__ring tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1133 (tptp.class_Rings_Olinordered__idom tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1134 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1135 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1136 (tptp.class_Rings_Odivision__ring tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1137 (tptp.class_Rings_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1138 (tptp.class_Groups_Oab__group__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1139 (tptp.class_Rings_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1140 (tptp.class_Rings_Oordered__ring tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1141 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1142 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1143 (tptp.class_Groups_Omonoid__mult tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1144 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1145 (tptp.class_Groups_Omonoid__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1146 (tptp.class_Rings_Osemiring__0 tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1147 (tptp.class_Groups_Ogroup__add tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1148 (tptp.class_Rings_Omult__zero tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1149 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1150 (tptp.class_Rings_Osemiring tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1151 (tptp.class_Orderings_Oord tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1152 (tptp.class_Rings_Oring__1 tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1153 (tptp.class_Groups_Ominus tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1154 (tptp.class_Fields_Ofield tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1155 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1156 (tptp.class_Groups_Ozero tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1157 (tptp.class_Rings_Oring tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1158 (tptp.class_Groups_Oone tptp.tc_RealDef_Oreal)) % 1.24/1.44 (assume @p1159 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1160 (tptp.class_RealVector_Oreal__normed__div__algebra tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1161 (tptp.class_RealVector_Oreal__normed__algebra__1 tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1162 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1163 (tptp.class_Groups_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1164 (tptp.class_Rings_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1165 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1166 (tptp.class_RealVector_Oreal__normed__field tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1167 (tptp.class_Rings_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1168 (tptp.class_Groups_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1169 (tptp.class_Fields_Ofield__inverse__zero tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1170 (tptp.class_Groups_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1171 (tptp.class_Groups_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1172 (tptp.class_Groups_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1173 (tptp.class_Rings_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1174 (tptp.class_Groups_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1175 (tptp.class_Rings_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1176 (tptp.class_Rings_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1177 (tptp.class_Rings_Odivision__ring tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1178 (tptp.class_Rings_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1179 (tptp.class_Groups_Oab__group__add tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1180 (tptp.class_Rings_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1181 (tptp.class_Groups_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1182 (tptp.class_Rings_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1183 (tptp.class_Groups_Omonoid__add tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1184 (tptp.class_Rings_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1185 (tptp.class_Groups_Ogroup__add tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1186 (tptp.class_Rings_Omult__zero tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1187 (tptp.class_Rings_Osemiring tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1188 (tptp.class_Rings_Oring__1 tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1189 (tptp.class_Groups_Ominus tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1190 (tptp.class_Fields_Ofield tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1191 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1192 (tptp.class_Groups_Ozero tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1193 (tptp.class_Rings_Oring tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1194 (tptp.class_Groups_Oone tptp.tc_Complex_Ocomplex)) % 1.24/1.44 (assume @p1195 (forall @t1203 (=> @t1202 (tptp.class_Semiring__Normalization_Ocomm__semiring__1__cancel__crossproduct @t1201)))) % 1.24/1.44 (assume @p1196 (forall @t1203 (=> @t1209 (tptp.class_Groups_Oordered__cancel__ab__semigroup__add @t1201)))) % 1.24/1.44 (assume @p1197 (forall @t1203 (=> @t1209 (tptp.class_Groups_Oordered__ab__semigroup__add__imp__le @t1201)))) % 1.24/1.44 (assume @p1198 (forall @t1203 (=> @t1209 (tptp.class_Rings_Olinordered__comm__semiring__strict @t1201)))) % 1.24/1.44 (assume @p1199 (forall @t1203 (=> @t1209 (tptp.class_Rings_Olinordered__semiring__1__strict @t1201)))) % 1.24/1.44 (assume @p1200 (forall @t1203 (=> @t1209 (tptp.class_Rings_Olinordered__semiring__strict @t1201)))) % 1.24/1.44 (assume @p1201 (forall @t1203 (=> @t1209 (tptp.class_Groups_Oordered__ab__semigroup__add @t1201)))) % 1.24/1.44 (assume @p1202 (forall @t1203 (=> @t1209 (tptp.class_Groups_Oordered__ab__group__add__abs @t1201)))) % 1.24/1.44 (assume @p1203 (forall @t1203 (=> @t1209 (tptp.class_Groups_Oordered__comm__monoid__add @t1201)))) % 1.24/1.44 (assume @p1204 (forall @t1203 (=> @t1209 (tptp.class_Groups_Olinordered__ab__group__add @t1201)))) % 1.24/1.44 (assume @p1205 (forall @t1203 (=> @t1204 (tptp.class_Groups_Ocancel__ab__semigroup__add @t1201)))) % 1.24/1.44 (assume @p1206 (forall @t1203 (=> @t1202 (tptp.class_Rings_Oring__1__no__zero__divisors @t1201)))) % 1.24/1.44 (assume @p1207 (forall @t1203 (=> @t1209 (tptp.class_Rings_Oordered__cancel__semiring @t1201)))) % 1.24/1.44 (assume @p1208 (forall @t1203 (=> @t1209 (tptp.class_Rings_Olinordered__ring__strict @t1201)))) % 1.24/1.44 (assume @p1209 (forall @t1203 (=> @t1202 (tptp.class_Rings_Oring__no__zero__divisors @t1201)))) % 1.24/1.44 (assume @p1210 (forall @t1203 (=> @t1209 (tptp.class_Rings_Oordered__comm__semiring @t1201)))) % 1.24/1.44 (assume @p1211 (forall @t1203 (=> @t1209 (tptp.class_Rings_Olinordered__semiring__1 @t1201)))) % 1.24/1.44 (assume @p1212 (forall @t1203 (=> @t1209 (tptp.class_Groups_Oordered__ab__group__add @t1201)))) % 1.24/1.44 (assume @p1213 (forall @t1203 (=> @t1204 (tptp.class_Groups_Ocancel__semigroup__add @t1201)))) % 1.24/1.44 (assume @p1214 (forall @t1203 (=> @t1209 (tptp.class_Rings_Olinordered__semiring @t1201)))) % 1.24/1.44 (assume @p1215 (forall @t1203 (=> @t1209 (tptp.class_Rings_Olinordered__semidom @t1201)))) % 1.24/1.44 (assume @p1216 (forall @t1203 (=> @t1210 (tptp.class_Groups_Oab__semigroup__mult @t1201)))) % 1.24/1.44 (assume @p1217 (forall @t1203 (=> @t1211 (tptp.class_Groups_Ocomm__monoid__mult @t1201)))) % 1.24/1.44 (assume @p1218 (forall @t1203 (=> @t1212 (tptp.class_Groups_Oab__semigroup__add @t1201)))) % 1.24/1.44 (assume @p1219 (forall @t1203 (=> @t1209 (tptp.class_Rings_Oordered__semiring @t1201)))) % 1.24/1.44 (assume @p1220 (forall @t1203 (=> @t1209 (tptp.class_Rings_Oordered__ring__abs @t1201)))) % 1.24/1.44 (assume @p1221 (forall @t1203 (=> @t1202 (tptp.class_Rings_Ono__zero__divisors @t1201)))) % 1.24/1.44 (assume @p1222 (forall @t1203 (=> @t1212 (tptp.class_Groups_Ocomm__monoid__add @t1201)))) % 1.24/1.44 (assume @p1223 (forall @t1203 (=> @t1209 (tptp.class_Rings_Olinordered__ring @t1201)))) % 1.24/1.44 (assume @p1224 (forall @t1203 (=> @t1209 (tptp.class_Rings_Olinordered__idom @t1201)))) % 1.24/1.44 (assume @p1225 (forall @t1203 (=> @t1211 (tptp.class_Rings_Ocomm__semiring__1 @t1201)))) % 1.24/1.44 (assume @p1226 (forall @t1203 (=> @t1210 (tptp.class_Rings_Ocomm__semiring__0 @t1201)))) % 1.24/1.44 (assume @p1227 (forall @t1203 (=> (tptp.class_Fields_Ofield @t1200) (tptp.class_Divides_Osemiring__div @t1201)))) % 1.24/1.44 (assume @p1228 (forall @t1203 (=> @t1210 (tptp.class_Rings_Ocomm__semiring @t1201)))) % 1.24/1.44 (assume @p1229 (forall @t1203 (=> @t1213 (tptp.class_Groups_Oab__group__add @t1201)))) % 1.24/1.44 (assume @p1230 (forall @t1203 (=> @t1211 (tptp.class_Rings_Ozero__neq__one @t1201)))) % 1.24/1.44 (assume @p1231 (forall @t1203 (=> @t1209 (tptp.class_Rings_Oordered__ring @t1201)))) % 1.24/1.44 (assume @p1232 (forall @t1203 (=> @t1209 (tptp.class_Orderings_Opreorder @t1201)))) % 1.24/1.44 (assume @p1233 (forall @t1203 (=> @t1209 (tptp.class_Orderings_Olinorder @t1201)))) % 1.24/1.44 (assume @p1234 (forall @t1203 (=> @t1211 (tptp.class_Groups_Omonoid__mult @t1201)))) % 1.24/1.44 (assume @p1235 (forall @t1203 (=> @t1214 (tptp.class_Rings_Ocomm__ring__1 @t1201)))) % 1.24/1.44 (assume @p1236 (forall @t1203 (=> @t1212 (tptp.class_Groups_Omonoid__add @t1201)))) % 1.24/1.44 (assume @p1237 (forall @t1203 (=> @t1210 (tptp.class_Rings_Osemiring__0 @t1201)))) % 1.24/1.44 (assume @p1238 (forall @t1203 (=> @t1213 (tptp.class_Groups_Ogroup__add @t1201)))) % 1.24/1.44 (assume @p1239 (forall @t1203 (=> @t1210 (tptp.class_Rings_Omult__zero @t1201)))) % 1.24/1.44 (assume @p1240 (forall @t1203 (=> @t1209 (tptp.class_Orderings_Oorder @t1201)))) % 1.24/1.44 (assume @p1241 (forall @t1203 (=> @t1210 (tptp.class_Rings_Osemiring @t1201)))) % 1.24/1.44 (assume @p1242 (forall @t1203 (=> @t1209 (tptp.class_Orderings_Oord @t1201)))) % 1.24/1.44 (assume @p1243 (forall @t1203 (=> @t1214 (tptp.class_Rings_Oring__1 @t1201)))) % 1.24/1.44 (assume @p1244 (forall @t1203 (=> @t1213 (tptp.class_Groups_Ominus @t1201)))) % 1.24/1.44 (assume @p1245 (forall @t1203 (=> @t1211 (tptp.class_Power_Opower @t1201)))) % 1.24/1.44 (assume @p1246 (forall @t1203 (=> (tptp.class_Groups_Ozero @t1200) (tptp.class_Groups_Ozero @t1201)))) % 1.24/1.44 (assume @p1247 (forall @t1203 (=> @t1205 (tptp.class_Rings_Oring @t1201)))) % 1.24/1.44 (assume @p1248 (forall @t1203 (=> @t1211 (tptp.class_Groups_Oone @t1201)))) % 1.24/1.44 (assume @p1249 (forall (@list @t1216 @t1215 @t35 @t8) (= (tptp.hAPP (tptp.c_COMBK @t8 @t35 @t1215) @t1216) @t1215))) % 1.24/1.44 (assume @p1250 (forall (@list @t1217 @t1218 @t363 @t497 @t8 @t35) (= (tptp.hAPP (tptp.c_COMBB @t35 @t8 @t497 @t363 @t1218) @t1217) (tptp.hAPP @t363 (tptp.hAPP @t1218 @t1217))))) % 1.24/1.44 (assume @p1251 (forall (@list @t1217 @t1218 @t363 @t8 @t497 @t35) (= (tptp.hAPP (tptp.c_COMBC @t35 @t497 @t8 @t363 @t1218) @t1217) (tptp.hAPP (tptp.hAPP @t363 @t1217) @t1218)))) % 1.24/1.44 (assume @p1252 (not @t1219)) % 1.24/1.44 (assume @p1253 true) % 1.24/1.44 (step @p1254 :rule aci_norm :args ((= (or @t1221 (or @t1220 @t27)) @t1222))) % 1.24/1.44 (step @p1255 :rule bool-impl-elim :args (@t29 @t27)) % 1.24/1.44 (step @p1256 :rule refl :args (@t1221)) % 1.24/1.44 (step @p1257 :rule nary_cong :premises (@p1256 @p1255) :args ((or @t1221 @t30))) % 1.24/1.44 (step @p1258 :rule trans :premises (@p1257 @p1254)) % 1.24/1.44 (step @p1259 :rule bool-impl-elim :args (@t31 @t30)) % 1.24/1.44 (step @p1260 :rule trans :premises (@p1259 @p1258)) % 1.24/1.44 (step @p1261 :rule cong :premises (@p1260) :args (@t33)) % 1.24/1.44 (step @p1262 :rule eq_resolve :premises (@p9 @p1261)) % 1.24/1.44 (step @p1263 :rule cnf_or_pos :args (@t1225)) % 1.24/1.44 (step @p1264 :rule reordering :premises (@p1263) :args ((or @t1219 @t1223 @t1224 @t1226))) % 1.24/1.44 (step @p1265 :rule chain_m_resolution :premises (@p1264 @p1252 @p5 @p15) :args (@t1226 (@list true false false) (@list @t1219 @t16 @t56))) % 1.24/1.44 (assume-push @p1272 @t1227) % 1.24/1.44 (step @p1267 :rule instantiate :premises (@p1262) :args ((@list tptp.v_r @t15 @t54))) % 1.24/1.44 (step-pop @p1273 :rule scope :premises (@p1267)) % 1.24/1.44 (step @p1268 :rule process_scope :premises (@p1273) :args (@t1225)) % 1.24/1.44 (step @p1270 :rule implies_elim :premises (@p1268)) % 1.24/1.44 (step @p1271 false :rule chain_m_resolution :premises (@p1270 @p1265 @p1262) :args (false (@list true false) (@list @t1225 @t1227))) % 1.24/1.44 ) % 1.24/1.44 % SZS output end Proof % 1.24/1.44 % cvc5 exiting %------------------------------------------------------------------------------