%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ALG397-1 : TPTP v9.2.1. Released v4.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n006.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 08:05:54 AM UTC 2026 % Result : Unsatisfiable 0.50s 0.82s % Output : Proof 0.50s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ALG397-1 : TPTP v9.2.1. Released v4.1.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n006.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Wed Jun 3 02:10:04 EDT 2026 % 0.16/0.34 % CPUTime : % 0.39/0.65 %----Proving TF0_NAR, FOF, or CNF % 0.39/0.66 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 15... % 0.50/0.82 % SZS status Unsatisfiable % 0.50/0.82 % SZS output start Proof % 0.50/0.84 ( % 0.50/0.84 (declare-sort $$unsorted 0) % 0.50/0.84 (declare-const tptp.hBOOL (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.tc_fun (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Ocomm__ring (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Ocomm__ring__1 (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_OrderedGroup_Omonoid__add__axioms (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_OrderedGroup_Ocomm__monoid__add__axioms (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__2 (-> $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Ocancel__semigroup__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Ocancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2 (-> $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.t_a $$unsorted) % 0.50/0.84 (declare-const tptp.c_Polynomial_Opcompose (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Oordered__comm__semiring__strict (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Int_Oring__char__0 (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_HOL_OIf (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.c_fequal (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Oab__group__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.v_pa____ $$unsorted) % 0.50/0.84 (declare-const tptp.class_Orderings_Opreorder (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.v_n____ $$unsorted) % 0.50/0.84 (declare-const tptp.c_Polynomial_Opoly (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Oordered__semiring (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Oring__no__zero__divisors (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.tc_RealDef_Oreal $$unsorted) % 0.50/0.84 (declare-const tptp.t_b $$unsorted) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Ono__zero__divisors (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Omult__zero (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Osemiring (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Oring__1__no__zero__divisors (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Ogroup__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Omult__mono1 (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.v_q____ $$unsorted) % 0.50/0.84 (declare-const tptp.c_Polynomial_Osmult (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Ocancel__comm__monoid__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_Power_Opower__class_Opower (-> $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Opordered__ab__group__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__0 (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_Polynomial_OpCons (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__mult (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Orderings_Oorder (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_Polynomial_Opoly__rec (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_Int_Onumber__ring (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Lattices_Oboolean__algebra (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_HOL_Oone__class_Oone (-> $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.c_HOL_Ouminus__class_Ouminus (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring__1 (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_HOL_Otimes__class_Otimes (-> $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Osemiring__1 (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.tc_nat $$unsorted) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Oab__semigroup__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Oordered__ring__strict (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Oordered__ab__group__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Power_Opower (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Opordered__comm__monoid__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.tc_Polynomial_Opoly (-> $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_Nat_Osemiring__char__0 (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Oab__semigroup__mult (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Ocomm__semiring (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1 (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_RealVector_Oreal__normed__algebra (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Opordered__cancel__semiring (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.v_p $$unsorted) % 0.50/0.84 (declare-const tptp.c_lessequals (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_HOL_Oplus__class_Oplus (-> $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.tc_Complex_Ocomplex $$unsorted) % 0.50/0.84 (declare-const tptp.class_RealVector_Oreal__normed__vector (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Oordered__semidom (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__1 (-> $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Ozero__neq__one (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_Suc (-> $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Opordered__ring (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Omonoid__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Ocomm__monoid__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Osemiring__0 (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Orderings_Olinorder (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Oordered__idom (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Oidom (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_Polynomial_Oorder (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Oring (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_HOL_Oord__class_Oless (-> $$unsorted $$unsorted $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Opordered__semiring (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_Polynomial_Odegree (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__3 (-> $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Omult__mono (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.c_Nat_Osemiring__1__class_Oof__nat (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.v_c____ $$unsorted) % 0.50/0.84 (declare-const tptp.c_RealVector_Onorm__class_Onorm (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_HOL_Ozero (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_Polynomial_Ocoeff (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.c_Polynomial_Omonom (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_Power_Opower_Opower (-> $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Opordered__ab__semigroup__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.hAPP (-> $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Olordered__ab__group__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.c_List_Ofoldl (-> $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Oordered__semiring__strict (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Omonoid__mult (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Osemigroup__add (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.class_Ring__and__Field_Oring__1 (-> $$unsorted Bool)) % 0.50/0.84 (declare-const tptp.v_sko__unknown__thm__rrS__1 (-> $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.c_HOL_Ozero__class_Ozero (-> $$unsorted $$unsorted)) % 0.50/0.84 (declare-const tptp.class_OrderedGroup_Oab__semigroup__idem__mult (-> $$unsorted Bool)) % 0.50/0.84 (define @t1 () (@var "T_a" $$unsorted)) % 0.50/0.84 (define @t2 () (@var "V_a" $$unsorted)) % 0.50/0.84 (define @t3 () (tptp.c_HOL_Otimes__class_Otimes @t1)) % 0.50/0.84 (define @t4 () (tptp.hAPP @t3 @t2)) % 0.50/0.84 (define @t5 () (tptp.hAPP @t4 @t2)) % 0.50/0.84 (define @t6 () (tptp.c_HOL_Ozero__class_Ozero @t1)) % 0.50/0.84 (define @t7 () (not (tptp.class_Ring__and__Field_Oordered__ring__strict @t1))) % 0.50/0.84 (define @t8 () (@list @t1 @t2)) % 0.50/0.84 (define @t9 () (tptp.c_lessequals @t2 @t6 @t1)) % 0.50/0.84 (define @t10 () (not @t9)) % 0.50/0.84 (define @t11 () (@var "V_b" $$unsorted)) % 0.50/0.84 (define @t12 () (tptp.c_lessequals @t11 @t6 @t1)) % 0.50/0.84 (define @t13 () (not @t12)) % 0.50/0.84 (define @t14 () (tptp.hAPP @t4 @t11)) % 0.50/0.84 (define @t15 () (tptp.c_lessequals @t6 @t14 @t1)) % 0.50/0.84 (define @t16 () (not (tptp.class_Ring__and__Field_Opordered__ring @t1))) % 0.50/0.84 (define @t17 () (@list @t1 @t2 @t11)) % 0.50/0.84 (define @t18 () (tptp.c_lessequals @t6 @t2 @t1)) % 0.50/0.84 (define @t19 () (not @t18)) % 0.50/0.84 (define @t20 () (tptp.c_lessequals @t6 @t11 @t1)) % 0.50/0.84 (define @t21 () (not @t20)) % 0.50/0.84 (define @t22 () (tptp.c_lessequals @t11 @t2 @t1)) % 0.50/0.84 (define @t23 () (not @t22)) % 0.50/0.84 (define @t24 () (= @t2 @t11)) % 0.50/0.84 (define @t25 () (tptp.c_HOL_Oord__class_Oless @t11 @t2 @t1)) % 0.50/0.84 (define @t26 () (not (tptp.class_Orderings_Oorder @t1))) % 0.50/0.84 (define @t27 () (@list @t1 @t11 @t2)) % 0.50/0.84 (define @t28 () (@var "V_y" $$unsorted)) % 0.50/0.84 (define @t29 () (@var "V_x" $$unsorted)) % 0.50/0.84 (define @t30 () (tptp.c_lessequals @t29 @t28 @t1)) % 0.50/0.84 (define @t31 () (not @t30)) % 0.50/0.84 (define @t32 () (tptp.c_HOL_Oord__class_Oless @t29 @t28 @t1)) % 0.50/0.84 (define @t33 () (= @t29 @t28)) % 0.50/0.84 (define @t34 () (not (tptp.class_Orderings_Olinorder @t1))) % 0.50/0.84 (define @t35 () (@list @t1 @t29 @t28)) % 0.50/0.84 (define @t36 () (tptp.c_lessequals @t2 @t11 @t1)) % 0.50/0.84 (define @t37 () (not @t36)) % 0.50/0.84 (define @t38 () (tptp.c_HOL_Oord__class_Oless @t2 @t11 @t1)) % 0.50/0.84 (define @t39 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_nat)) % 0.50/0.84 (define @t40 () (tptp.c_Suc @t39)) % 0.50/0.84 (define @t41 () (@var "V_m" $$unsorted)) % 0.50/0.84 (define @t42 () (= @t41 @t40)) % 0.50/0.84 (define @t43 () (@var "V_n" $$unsorted)) % 0.50/0.84 (define @t44 () (= @t43 @t40)) % 0.50/0.84 (define @t45 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_nat)) % 0.50/0.84 (define @t46 () (tptp.hAPP @t45 @t41)) % 0.50/0.84 (define @t47 () (tptp.hAPP @t46 @t43)) % 0.50/0.84 (define @t48 () (not (= @t47 @t40))) % 0.50/0.84 (define @t49 () (@list @t41 @t43)) % 0.50/0.84 (define @t50 () (= @t43 @t39)) % 0.50/0.84 (define @t51 () (= @t41 @t39)) % 0.50/0.84 (define @t52 () (tptp.c_Power_Opower__class_Opower @t1)) % 0.50/0.84 (define @t53 () (tptp.hAPP @t52 @t11)) % 0.50/0.84 (define @t54 () (tptp.hAPP @t53 @t43)) % 0.50/0.84 (define @t55 () (tptp.hAPP @t52 @t2)) % 0.50/0.84 (define @t56 () (tptp.hAPP @t55 @t43)) % 0.50/0.84 (define @t57 () (tptp.hAPP @t3 @t56)) % 0.50/0.84 (define @t58 () (not (tptp.class_OrderedGroup_Ocomm__monoid__mult @t1))) % 0.50/0.84 (define @t59 () (@list @t1 @t2 @t11 @t43)) % 0.50/0.84 (define @t60 () (@var "V_q" $$unsorted)) % 0.50/0.84 (define @t61 () (tptp.hAPP @t52 @t29)) % 0.50/0.84 (define @t62 () (tptp.hAPP @t61 @t60)) % 0.50/0.84 (define @t63 () (tptp.hAPP @t3 @t62)) % 0.50/0.84 (define @t64 () (tptp.hAPP @t3 @t29)) % 0.50/0.84 (define @t65 () (tptp.hAPP @t64 @t28)) % 0.50/0.84 (define @t66 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t1))) % 0.50/0.84 (define @t67 () (not (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t1))) % 0.50/0.84 (define @t68 () (tptp.c_HOL_Oone__class_Oone @t1)) % 0.50/0.84 (define @t69 () (tptp.c_HOL_Ouminus__class_Ouminus @t68 @t1)) % 0.50/0.84 (define @t70 () (tptp.c_HOL_Ouminus__class_Ouminus @t29 @t1)) % 0.50/0.84 (define @t71 () (not (tptp.class_Int_Onumber__ring @t1))) % 0.50/0.84 (define @t72 () (@list @t1 @t29)) % 0.50/0.84 (define @t73 () (@var "V_c" $$unsorted)) % 0.50/0.84 (define @t74 () (tptp.hAPP @t3 @t11)) % 0.50/0.84 (define @t75 () (tptp.hAPP @t74 @t73)) % 0.50/0.84 (define @t76 () (@list @t1 @t2 @t11 @t73)) % 0.50/0.84 (define @t77 () (@var "V_ly" $$unsorted)) % 0.50/0.84 (define @t78 () (@var "V_rx" $$unsorted)) % 0.50/0.84 (define @t79 () (@var "V_lx" $$unsorted)) % 0.50/0.84 (define @t80 () (tptp.hAPP @t3 @t79)) % 0.50/0.84 (define @t81 () (tptp.hAPP @t3 (tptp.hAPP @t80 @t78))) % 0.50/0.84 (define @t82 () (tptp.hAPP @t3 (tptp.hAPP @t80 @t77))) % 0.50/0.84 (define @t83 () (tptp.hAPP @t82 @t78)) % 0.50/0.84 (define @t84 () (@list @t1 @t79 @t77 @t78)) % 0.50/0.84 (define @t85 () (tptp.hAPP @t3 @t77)) % 0.50/0.84 (define @t86 () (@var "V_ry" $$unsorted)) % 0.50/0.84 (define @t87 () (tptp.hAPP @t3 @t78)) % 0.50/0.84 (define @t88 () (tptp.hAPP @t87 @t86)) % 0.50/0.84 (define @t89 () (tptp.hAPP @t80 @t88)) % 0.50/0.84 (define @t90 () (@list @t1 @t79 @t78 @t86)) % 0.50/0.84 (define @t91 () (@var "V_z" $$unsorted)) % 0.50/0.84 (define @t92 () (tptp.hAPP @t3 @t28)) % 0.50/0.84 (define @t93 () (@list @t1 @t29 @t28 @t91)) % 0.50/0.84 (define @t94 () (@var "T_b" $$unsorted)) % 0.50/0.84 (define @t95 () (@var "V_p" $$unsorted)) % 0.50/0.84 (define @t96 () (@var "V_f" $$unsorted)) % 0.50/0.84 (define @t97 () (tptp.c_Polynomial_Opoly__rec @t91 @t96 @t95 @t1 @t94)) % 0.50/0.84 (define @t98 () (tptp.hAPP (tptp.hAPP @t96 @t2) @t95)) % 0.50/0.84 (define @t99 () (tptp.c_Polynomial_Opoly__rec @t91 @t96 (tptp.c_Polynomial_OpCons @t2 @t95 @t94) @t1 @t94)) % 0.50/0.84 (define @t100 () (tptp.tc_Polynomial_Opoly @t94)) % 0.50/0.84 (define @t101 () (tptp.c_HOL_Ozero__class_Ozero @t100)) % 0.50/0.84 (define @t102 () (not (= (tptp.hAPP (tptp.hAPP (tptp.hAPP @t96 (tptp.c_HOL_Ozero__class_Ozero @t94)) @t101) @t91) @t91))) % 0.50/0.84 (define @t103 () (not (tptp.class_HOL_Ozero @t94))) % 0.50/0.84 (define @t104 () (tptp.hAPP @t4 @t73)) % 0.50/0.84 (define @t105 () (tptp.c_HOL_Oplus__class_Oplus @t1)) % 0.50/0.84 (define @t106 () (tptp.hAPP @t105 @t104)) % 0.50/0.84 (define @t107 () (tptp.hAPP @t105 @t2)) % 0.50/0.84 (define @t108 () (tptp.hAPP @t107 @t11)) % 0.50/0.84 (define @t109 () (tptp.hAPP @t3 @t108)) % 0.50/0.84 (define @t110 () (= (tptp.hAPP @t109 @t73) (tptp.hAPP @t106 @t75))) % 0.50/0.84 (define @t111 () (@var "V_xa" $$unsorted)) % 0.50/0.84 (define @t112 () (tptp.hAPP @t3 @t111)) % 0.50/0.84 (define @t113 () (tptp.hAPP @t112 @t29)) % 0.50/0.84 (define @t114 () (tptp.hAPP @t105 @t29)) % 0.50/0.84 (define @t115 () (tptp.hAPP @t114 @t28)) % 0.50/0.84 (define @t116 () (not (tptp.class_RealVector_Oreal__normed__algebra @t1))) % 0.50/0.84 (define @t117 () (@var "V_b_H" $$unsorted)) % 0.50/0.84 (define @t118 () (tptp.hAPP @t105 @t14)) % 0.50/0.84 (define @t119 () (tptp.hAPP @t105 @t11)) % 0.50/0.84 (define @t120 () (@var "V_ya" $$unsorted)) % 0.50/0.84 (define @t121 () (@var "V_a_H" $$unsorted)) % 0.50/0.84 (define @t122 () (tptp.hAPP @t64 @t91)) % 0.50/0.84 (define @t123 () (tptp.hAPP (tptp.hAPP @t105 @t65) @t122)) % 0.50/0.84 (define @t124 () (tptp.hAPP @t105 @t28)) % 0.50/0.84 (define @t125 () (tptp.hAPP @t124 @t91)) % 0.50/0.84 (define @t126 () (not @t15)) % 0.50/0.84 (define @t127 () (= @t2 @t6)) % 0.50/0.84 (define @t128 () (tptp.c_HOL_Ouminus__class_Ouminus @t2 @t1)) % 0.50/0.84 (define @t129 () (not (tptp.class_OrderedGroup_Oordered__ab__group__add @t1))) % 0.50/0.84 (define @t130 () (tptp.tc_Polynomial_Opoly @t1)) % 0.50/0.84 (define @t131 () (tptp.c_HOL_Ozero__class_Ozero @t130)) % 0.50/0.84 (define @t132 () (= @t95 @t131)) % 0.50/0.84 (define @t133 () (tptp.c_Polynomial_OpCons @t2 @t95 @t1)) % 0.50/0.84 (define @t134 () (tptp.c_Polynomial_Osmult @t73 @t95 @t1)) % 0.50/0.84 (define @t135 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 @t1))) % 0.50/0.84 (define @t136 () (@list @t1 @t73 @t95 @t2)) % 0.50/0.84 (define @t137 () (tptp.hAPP @t61 @t39)) % 0.50/0.84 (define @t138 () (not (tptp.class_Ring__and__Field_Oordered__idom @t1))) % 0.50/0.84 (define @t139 () (tptp.hAPP @t3 @t6)) % 0.50/0.84 (define @t140 () (tptp.hAPP @t139 @t6)) % 0.50/0.84 (define @t141 () (tptp.hAPP (tptp.hAPP @t105 @t140) @t140)) % 0.50/0.84 (define @t142 () (@list @t1)) % 0.50/0.84 (define @t143 () (tptp.hAPP @t4 @t41)) % 0.50/0.84 (define @t144 () (tptp.hAPP @t105 @t143)) % 0.50/0.84 (define @t145 () (tptp.hAPP @t105 @t68)) % 0.50/0.84 (define @t146 () (tptp.hAPP @t145 @t68)) % 0.50/0.84 (define @t147 () (not (tptp.class_Ring__and__Field_Oordered__semidom @t1))) % 0.50/0.84 (define @t148 () (tptp.c_HOL_Ouminus__class_Ouminus @t14 @t1)) % 0.50/0.84 (define @t149 () (tptp.hAPP @t3 @t128)) % 0.50/0.84 (define @t150 () (tptp.hAPP @t149 @t11)) % 0.50/0.84 (define @t151 () (tptp.c_HOL_Ouminus__class_Ouminus @t11 @t1)) % 0.50/0.84 (define @t152 () (tptp.hAPP @t4 @t151)) % 0.50/0.84 (define @t153 () (tptp.hAPP @t74 @t11)) % 0.50/0.84 (define @t154 () (not (tptp.class_Ring__and__Field_Oidom @t1))) % 0.50/0.84 (define @t155 () (@list @t1 @t11)) % 0.50/0.84 (define @t156 () (not (tptp.class_Ring__and__Field_Oring @t1))) % 0.50/0.84 (define @t157 () (@var "V_d" $$unsorted)) % 0.50/0.84 (define @t158 () (not (tptp.c_lessequals @t73 @t157 @t1))) % 0.50/0.84 (define @t159 () (not (tptp.c_lessequals @t6 @t73 @t1))) % 0.50/0.84 (define @t160 () (tptp.hAPP @t74 @t157)) % 0.50/0.84 (define @t161 () (tptp.c_lessequals @t104 @t160 @t1)) % 0.50/0.84 (define @t162 () (not (tptp.class_Ring__and__Field_Opordered__semiring @t1))) % 0.50/0.84 (define @t163 () (@list @t1 @t2 @t73 @t11 @t157)) % 0.50/0.84 (define @t164 () (tptp.c_Suc @t43)) % 0.50/0.84 (define @t165 () (tptp.hAPP @t53 @t164)) % 0.50/0.84 (define @t166 () (tptp.hAPP @t55 @t164)) % 0.50/0.84 (define @t167 () (@list @t1 @t2 @t43 @t11)) % 0.50/0.84 (define @t168 () (tptp.c_Polynomial_Omonom @t11 @t43 @t1)) % 0.50/0.84 (define @t169 () (tptp.c_HOL_Oord__class_Oless @t6 @t2 @t1)) % 0.50/0.84 (define @t170 () (not @t169)) % 0.50/0.84 (define @t171 () (not (tptp.c_HOL_Oord__class_Oless @t2 @t68 @t1))) % 0.50/0.84 (define @t172 () (tptp.hAPP @t4 @t56)) % 0.50/0.84 (define @t173 () (@list @t1 @t2 @t43)) % 0.50/0.84 (define @t174 () (tptp.hAPP @t3 @t73)) % 0.50/0.84 (define @t175 () (tptp.hAPP @t174 @t11)) % 0.50/0.84 (define @t176 () (tptp.hAPP @t174 @t2)) % 0.50/0.84 (define @t177 () (tptp.c_HOL_Oord__class_Oless @t176 @t175 @t1)) % 0.50/0.84 (define @t178 () (not @t177)) % 0.50/0.84 (define @t179 () (tptp.c_HOL_Oord__class_Oless @t6 @t73 @t1)) % 0.50/0.84 (define @t180 () (tptp.c_HOL_Oord__class_Oless @t73 @t6 @t1)) % 0.50/0.84 (define @t181 () (@list @t1 @t73 @t2 @t11)) % 0.50/0.84 (define @t182 () (@list @t1 @t11 @t2 @t73)) % 0.50/0.84 (define @t183 () (tptp.c_HOL_Oord__class_Oless @t104 @t75 @t1)) % 0.50/0.84 (define @t184 () (not @t183)) % 0.50/0.84 (define @t185 () (@list @t1 @t95)) % 0.50/0.84 (define @t186 () (tptp.c_Polynomial_OpCons @t2 @t131 @t1)) % 0.50/0.84 (define @t187 () (@var "V_h" $$unsorted)) % 0.50/0.84 (define @t188 () (tptp.c_Polynomial_Omonom @t2 @t43 @t1)) % 0.50/0.84 (define @t189 () (tptp.c_HOL_Oplus__class_Oplus @t130)) % 0.50/0.84 (define @t190 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t1))) % 0.50/0.84 (define @t191 () (not (tptp.c_lessequals @t6 @t29 @t1))) % 0.50/0.84 (define @t192 () (not (tptp.c_lessequals @t6 @t28 @t1))) % 0.50/0.84 (define @t193 () (not (tptp.c_lessequals @t28 @t68 @t1))) % 0.50/0.84 (define @t194 () (tptp.hAPP @t92 @t29)) % 0.50/0.84 (define @t195 () (@list @t1 @t28 @t29)) % 0.50/0.84 (define @t196 () (= @t41 @t43)) % 0.50/0.84 (define @t197 () (@var "V_k" $$unsorted)) % 0.50/0.84 (define @t198 () (tptp.hAPP @t45 @t43)) % 0.50/0.84 (define @t199 () (tptp.hAPP @t198 @t197)) % 0.50/0.84 (define @t200 () (tptp.hAPP @t45 @t197)) % 0.50/0.84 (define @t201 () (= @t28 @t91)) % 0.50/0.84 (define @t202 () (tptp.hAPP @t45 @t29)) % 0.50/0.84 (define @t203 () (tptp.hAPP @t202 @t91)) % 0.50/0.84 (define @t204 () (@list @t29 @t28 @t91)) % 0.50/0.84 (define @t205 () (tptp.c_lessequals @t14 @t6 @t1)) % 0.50/0.84 (define @t206 () (tptp.hAPP @t74 @t2)) % 0.50/0.84 (define @t207 () (tptp.c_HOL_Oord__class_Oless @t6 @t11 @t1)) % 0.50/0.84 (define @t208 () (not @t207)) % 0.50/0.84 (define @t209 () (tptp.c_HOL_Oord__class_Oless @t6 @t108 @t1)) % 0.50/0.84 (define @t210 () (not (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t1))) % 0.50/0.84 (define @t211 () (tptp.hAPP @t46 @t164)) % 0.50/0.84 (define @t212 () (tptp.c_Suc @t41)) % 0.50/0.84 (define @t213 () (tptp.hAPP (tptp.hAPP @t45 @t212) @t43)) % 0.50/0.84 (define @t214 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t41 @t1)) % 0.50/0.84 (define @t215 () (not (tptp.class_Ring__and__Field_Osemiring__1 @t1))) % 0.50/0.84 (define @t216 () (@list @t1 @t41)) % 0.50/0.84 (define @t217 () (not (= @t40 @t47))) % 0.50/0.84 (define @t218 () (tptp.c_Polynomial_Ocoeff @t95 @t1)) % 0.50/0.84 (define @t219 () (tptp.hAPP @t218 @t43)) % 0.50/0.84 (define @t220 () (tptp.hAPP @t189 @t95)) % 0.50/0.84 (define @t221 () (tptp.hAPP @t220 @t60)) % 0.50/0.84 (define @t222 () (not (tptp.class_Ring__and__Field_Ozero__neq__one @t1))) % 0.50/0.84 (define @t223 () (tptp.c_HOL_Oone__class_Oone tptp.tc_nat)) % 0.50/0.84 (define @t224 () (tptp.hAPP @t45 @t39)) % 0.50/0.84 (define @t225 () (tptp.hAPP @t224 @t40)) % 0.50/0.84 (define @t226 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t95 @t187 @t1)) % 0.50/0.84 (define @t227 () (@list @t1 @t95 @t187)) % 0.50/0.84 (define @t228 () (tptp.c_lessequals @t6 @t128 @t1)) % 0.50/0.84 (define @t229 () (not (tptp.class_OrderedGroup_Opordered__ab__group__add @t1))) % 0.50/0.84 (define @t230 () (not (tptp.class_OrderedGroup_Omonoid__mult @t1))) % 0.50/0.84 (define @t231 () (@list @t1 @t43)) % 0.50/0.84 (define @t232 () (not (tptp.class_HOL_Ozero @t1))) % 0.50/0.84 (define @t233 () (tptp.c_Power_Opower_Opower @t6 @t105 @t1)) % 0.50/0.84 (define @t234 () (tptp.hAPP @t233 @t2)) % 0.50/0.84 (define @t235 () (tptp.hAPP @t234 @t43)) % 0.50/0.84 (define @t236 () (@list @t1 @t2 @t41 @t43)) % 0.50/0.84 (define @t237 () (tptp.hAPP @t119 @t157)) % 0.50/0.84 (define @t238 () (tptp.hAPP @t107 @t73)) % 0.50/0.84 (define @t239 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t1))) % 0.50/0.84 (define @t240 () (tptp.c_Polynomial_Odegree @t131 @t1)) % 0.50/0.84 (define @t241 () (tptp.c_Polynomial_Ocoeff @t131 @t1)) % 0.50/0.84 (define @t242 () (tptp.hAPP @t52 @t6)) % 0.50/0.84 (define @t243 () (not (tptp.class_Power_Opower @t1))) % 0.50/0.84 (define @t244 () (not (tptp.class_Ring__and__Field_Osemiring__0 @t1))) % 0.50/0.84 (define @t245 () (not (tptp.c_lessequals @t11 @t73 @t1))) % 0.50/0.84 (define @t246 () (tptp.c_HOL_Oord__class_Oless @t11 @t238 @t1)) % 0.50/0.84 (define @t247 () (not (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t1))) % 0.50/0.84 (define @t248 () (tptp.c_lessequals @t6 @t56 @t1)) % 0.50/0.84 (define @t249 () (tptp.c_lessequals @t2 @t128 @t1)) % 0.50/0.84 (define @t250 () (not @t249)) % 0.50/0.84 (define @t251 () (not (tptp.class_OrderedGroup_Olordered__ab__group__add @t1))) % 0.50/0.84 (define @t252 () (tptp.c_lessequals @t128 @t2 @t1)) % 0.50/0.84 (define @t253 () (not @t252)) % 0.50/0.84 (define @t254 () (tptp.c_Polynomial_Ocoeff @t133 @t1)) % 0.50/0.84 (define @t255 () (@list @t1 @t2 @t95 @t43)) % 0.50/0.84 (define @t256 () (tptp.c_Suc @t47)) % 0.50/0.84 (define @t257 () (@var "V_zs" $$unsorted)) % 0.50/0.84 (define @t258 () (@var "V_times" $$unsorted)) % 0.50/0.84 (define @t259 () (@var "V_one" $$unsorted)) % 0.50/0.84 (define @t260 () (tptp.hAPP (tptp.c_Power_Opower_Opower @t259 @t258 @t1) @t2)) % 0.50/0.84 (define @t261 () (tptp.c_Polynomial_Odegree @t95 @t1)) % 0.50/0.84 (define @t262 () (tptp.c_Polynomial_Osmult @t2 @t95 @t1)) % 0.50/0.84 (define @t263 () (@list @t1 @t2 @t95)) % 0.50/0.84 (define @t264 () (tptp.c_Nat_Osemiring__1__class_Oof__nat @t43 @t1)) % 0.50/0.84 (define @t265 () (@list @t1 @t41 @t43)) % 0.50/0.84 (define @t266 () (not @t38)) % 0.50/0.84 (define @t267 () (not (tptp.c_HOL_Oord__class_Oless @t73 @t157 @t1))) % 0.50/0.84 (define @t268 () (tptp.c_HOL_Oord__class_Oless @t104 @t160 @t1)) % 0.50/0.84 (define @t269 () (not (tptp.class_Ring__and__Field_Oordered__semiring__strict @t1))) % 0.50/0.84 (define @t270 () (tptp.hAPP @t64 @t29)) % 0.50/0.84 (define @t271 () (not (tptp.class_OrderedGroup_Oab__semigroup__idem__mult @t1))) % 0.50/0.84 (define @t272 () (@list @t1 @t2 @t11 @t95)) % 0.50/0.84 (define @t273 () (@list @t43)) % 0.50/0.84 (define @t274 () (not (tptp.c_lessequals @t73 @t6 @t1))) % 0.50/0.84 (define @t275 () (tptp.c_lessequals @t104 @t75 @t1)) % 0.50/0.84 (define @t276 () (@list @t1 @t2 @t73 @t11)) % 0.50/0.84 (define @t277 () (tptp.c_lessequals @t176 @t175 @t1)) % 0.50/0.84 (define @t278 () (not (tptp.class_Ring__and__Field_Omult__mono @t1))) % 0.50/0.84 (define @t279 () (not (tptp.c_HOL_Oord__class_Oless @t68 @t2 @t1))) % 0.50/0.84 (define @t280 () (tptp.c_Polynomial_OpCons @t11 @t60 @t1)) % 0.50/0.84 (define @t281 () (not (= @t133 @t280))) % 0.50/0.84 (define @t282 () (@list @t1 @t2 @t95 @t11 @t60)) % 0.50/0.84 (define @t283 () (= @t95 @t60)) % 0.50/0.84 (define @t284 () (tptp.hAPP @t105 @t128)) % 0.50/0.84 (define @t285 () (not (tptp.class_OrderedGroup_Ogroup__add @t1))) % 0.50/0.84 (define @t286 () (not (tptp.c_HOL_Oord__class_Oless @t11 @t6 @t1))) % 0.50/0.84 (define @t287 () (tptp.c_HOL_Oord__class_Oless @t14 @t6 @t1)) % 0.50/0.84 (define @t288 () (tptp.c_HOL_Oord__class_Oless @t2 @t6 @t1)) % 0.50/0.84 (define @t289 () (not @t288)) % 0.50/0.84 (define @t290 () (not @t205)) % 0.50/0.84 (define @t291 () (tptp.c_Suc @t261)) % 0.50/0.84 (define @t292 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t95 @t1)) % 0.50/0.84 (define @t293 () (tptp.hAPP @t55 @t39)) % 0.50/0.84 (define @t294 () (tptp.c_lessequals @t128 @t6 @t1)) % 0.50/0.84 (define @t295 () (not (= @t56 @t6))) % 0.50/0.84 (define @t296 () (not (tptp.class_Ring__and__Field_Omult__zero @t1))) % 0.50/0.84 (define @t297 () (not (tptp.class_Ring__and__Field_Ono__zero__divisors @t1))) % 0.50/0.84 (define @t298 () (tptp.hAPP @t107 @t68)) % 0.50/0.84 (define @t299 () (tptp.c_lessequals @t108 @t6 @t1)) % 0.50/0.84 (define @t300 () (tptp.c_lessequals @t2 @t151 @t1)) % 0.50/0.84 (define @t301 () (not @t300)) % 0.50/0.84 (define @t302 () (tptp.hAPP @t119 @t73)) % 0.50/0.84 (define @t303 () (tptp.c_lessequals @t238 @t302 @t1)) % 0.50/0.84 (define @t304 () (tptp.hAPP @t105 @t73)) % 0.50/0.84 (define @t305 () (tptp.hAPP @t304 @t11)) % 0.50/0.84 (define @t306 () (tptp.hAPP @t304 @t2)) % 0.50/0.84 (define @t307 () (tptp.c_lessequals @t306 @t305 @t1)) % 0.50/0.84 (define @t308 () (tptp.c_HOL_Oord__class_Oless @t28 @t29 @t1)) % 0.50/0.84 (define @t309 () (tptp.c_lessequals @t28 @t29 @t1)) % 0.50/0.84 (define @t310 () (not @t309)) % 0.50/0.84 (define @t311 () (@var "V_w" $$unsorted)) % 0.50/0.84 (define @t312 () (tptp.c_lessequals @t91 @t311 tptp.tc_RealDef_Oreal)) % 0.50/0.84 (define @t313 () (tptp.c_lessequals @t311 @t91 tptp.tc_RealDef_Oreal)) % 0.50/0.84 (define @t314 () (not (tptp.class_Lattices_Oboolean__algebra @t1))) % 0.50/0.84 (define @t315 () (tptp.hAPP @t82 @t88)) % 0.50/0.84 (define @t316 () (@list @t1 @t79 @t77 @t78 @t86)) % 0.50/0.84 (define @t317 () (tptp.c_HOL_Oord__class_Oless @t108 @t6 @t1)) % 0.50/0.84 (define @t318 () (tptp.c_HOL_Oord__class_Oless @t151 @t128 @t1)) % 0.50/0.84 (define @t319 () (tptp.hAPP (tptp.hAPP @t105 @t270) (tptp.hAPP @t92 @t28))) % 0.50/0.84 (define @t320 () (tptp.c_Polynomial_Osmult @t6 @t95 @t1)) % 0.50/0.84 (define @t321 () (tptp.c_HOL_Oord__class_Oless @t6 @t14 @t1)) % 0.50/0.84 (define @t322 () (= @t11 @t6)) % 0.50/0.84 (define @t323 () (not (= @t14 @t6))) % 0.50/0.84 (define @t324 () (not (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t1))) % 0.50/0.84 (define @t325 () (not (= @t47 @t39))) % 0.50/0.84 (define @t326 () (= @t2 @t151)) % 0.50/0.84 (define @t327 () (not (tptp.class_Ring__and__Field_Oordered__semiring @t1))) % 0.50/0.84 (define @t328 () (tptp.c_Polynomial_Osmult @t11 @t95 @t1)) % 0.50/0.84 (define @t329 () (tptp.hAPP @t189 @t262)) % 0.50/0.84 (define @t330 () (@var "V_nat_H" $$unsorted)) % 0.50/0.84 (define @t331 () (tptp.c_Suc @t330)) % 0.50/0.84 (define @t332 () (@list @t330)) % 0.50/0.84 (define @t333 () (@list @t41)) % 0.50/0.84 (define @t334 () (tptp.c_lessequals @t151 @t128 @t1)) % 0.50/0.84 (define @t335 () (not (= @t133 @t131))) % 0.50/0.84 (define @t336 () (tptp.hAPP @t57 @t2)) % 0.50/0.84 (define @t337 () (tptp.hAPP @t105 @t41)) % 0.50/0.84 (define @t338 () (@var "V_nat" $$unsorted)) % 0.50/0.84 (define @t339 () (tptp.hAPP @t61 @t43)) % 0.50/0.84 (define @t340 () (= @t73 @t157)) % 0.50/0.84 (define @t341 () (tptp.hAPP @t3 @t311)) % 0.50/0.84 (define @t342 () (= (tptp.hAPP @t139 @t2) @t6)) % 0.50/0.84 (define @t343 () (= (tptp.hAPP @t4 @t6) @t6)) % 0.50/0.84 (define @t344 () (= (tptp.hAPP @t139 @t11) @t6)) % 0.50/0.84 (define @t345 () (tptp.hAPP (tptp.hAPP @t3 @t298) @t41)) % 0.50/0.84 (define @t346 () (tptp.c_Polynomial_Opoly @t95 @t1)) % 0.50/0.84 (define @t347 () (@var "V_r" $$unsorted)) % 0.50/0.84 (define @t348 () (tptp.hAPP (tptp.hAPP @t45 @t40) @t39)) % 0.50/0.84 (define @t349 () (tptp.c_HOL_Oord__class_Oless @t29 @t29 @t1)) % 0.50/0.84 (define @t350 () (not @t349)) % 0.50/0.84 (define @t351 () (not (tptp.class_Orderings_Opreorder @t1))) % 0.50/0.84 (define @t352 () (tptp.c_HOL_Oord__class_Oless @t238 @t237 @t1)) % 0.50/0.84 (define @t353 () (not (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t1))) % 0.50/0.84 (define @t354 () (not @t32)) % 0.50/0.84 (define @t355 () (tptp.c_HOL_Ouminus__class_Ouminus @t91 @t1)) % 0.50/0.84 (define @t356 () (not (tptp.class_OrderedGroup_Oab__group__add @t1))) % 0.50/0.84 (define @t357 () (tptp.c_HOL_Ouminus__class_Ouminus @t6 @t1)) % 0.50/0.84 (define @t358 () (not @t179)) % 0.50/0.84 (define @t359 () (tptp.hAPP @t55 @t41)) % 0.50/0.84 (define @t360 () (tptp.hAPP @t61 (tptp.c_Suc @t60))) % 0.50/0.84 (define @t361 () (tptp.hAPP @t64 @t62)) % 0.50/0.84 (define @t362 () (@list @t1 @t29 @t60)) % 0.50/0.84 (define @t363 () (= @t357 @t6)) % 0.50/0.84 (define @t364 () (= (tptp.c_Polynomial_Osmult @t2 @t131 @t1) @t131)) % 0.50/0.84 (define @t365 () (tptp.c_HOL_Oord__class_Oless @t306 @t305 @t1)) % 0.50/0.84 (define @t366 () (tptp.c_HOL_Oord__class_Oless @t238 @t302 @t1)) % 0.50/0.84 (define @t367 () (tptp.c_lessequals @t29 @t29 @t1)) % 0.50/0.84 (define @t368 () (@var "V_j" $$unsorted)) % 0.50/0.84 (define @t369 () (@var "V_i" $$unsorted)) % 0.50/0.84 (define @t370 () (@list @t311)) % 0.50/0.84 (define @t371 () (not (tptp.c_HOL_Oord__class_Oless @t28 @t91 @t1))) % 0.50/0.84 (define @t372 () (tptp.c_HOL_Oord__class_Oless @t29 @t91 @t1)) % 0.50/0.84 (define @t373 () (@list @t1 @t29 @t91 @t28)) % 0.50/0.84 (define @t374 () (not (tptp.c_lessequals @t28 @t91 @t1))) % 0.50/0.84 (define @t375 () (not (tptp.c_HOL_Oord__class_Oless @t91 @t28 @t1))) % 0.50/0.84 (define @t376 () (tptp.c_HOL_Oord__class_Oless @t91 @t29 @t1)) % 0.50/0.84 (define @t377 () (@list @t1 @t91 @t29 @t28)) % 0.50/0.84 (define @t378 () (not @t308)) % 0.50/0.84 (define @t379 () (not (tptp.c_lessequals @t91 @t28 @t1))) % 0.50/0.84 (define @t380 () (tptp.hAPP @t346 @t29)) % 0.50/0.84 (define @t381 () (@list @t1 @t2 @t95 @t29)) % 0.50/0.84 (define @t382 () (tptp.c_HOL_Oord__class_Oless @t6 @t128 @t1)) % 0.50/0.84 (define @t383 () (tptp.c_HOL_Oord__class_Oless @t2 @t128 @t1)) % 0.50/0.84 (define @t384 () (tptp.hAPP @t105 @t151)) % 0.50/0.84 (define @t385 () (tptp.c_HOL_Ouminus__class_Ouminus @t108 @t1)) % 0.50/0.84 (define @t386 () (not @t25)) % 0.50/0.84 (define @t387 () (= (tptp.hAPP @t4 @t68) @t2)) % 0.50/0.84 (define @t388 () (tptp.hAPP @t3 @t68)) % 0.50/0.84 (define @t389 () (= (tptp.hAPP @t388 @t2) @t2)) % 0.50/0.84 (define @t390 () (tptp.c_HOL_Oord__class_Oless @t128 @t6 @t1)) % 0.50/0.84 (define @t391 () (tptp.hAPP @t64 @t73)) % 0.50/0.84 (define @t392 () (tptp.hAPP @t64 @t157)) % 0.50/0.84 (define @t393 () (@list @t1 @t29 @t43)) % 0.50/0.84 (define @t394 () (tptp.hAPP @t107 @t235)) % 0.50/0.84 (define @t395 () (tptp.hAPP @t234 @t164)) % 0.50/0.84 (define @t396 () (tptp.hAPP @t105 @t235)) % 0.50/0.84 (define @t397 () (tptp.hAPP @t396 @t2)) % 0.50/0.84 (define @t398 () (tptp.hAPP @t242 @t43)) % 0.50/0.84 (define @t399 () (tptp.hAPP @t45 @t28)) % 0.50/0.84 (define @t400 () (not (tptp.c_HOL_Oord__class_Oless @t11 @t73 @t1))) % 0.50/0.84 (define @t401 () (= @t29 @t6)) % 0.50/0.84 (define @t402 () (not @t277)) % 0.50/0.84 (define @t403 () (not @t180)) % 0.50/0.84 (define @t404 () (@var "V_e" $$unsorted)) % 0.50/0.84 (define @t405 () (not (tptp.c_lessequals @t319 @t6 @t1))) % 0.50/0.84 (define @t406 () (= @t28 @t6)) % 0.50/0.84 (define @t407 () (tptp.c_HOL_Oord__class_Oless @t6 @t319 @t1)) % 0.50/0.84 (define @t408 () (tptp.hAPP @t114 @t125)) % 0.50/0.84 (define @t409 () (@list @t1 @t60)) % 0.50/0.84 (define @t410 () (@list @t29)) % 0.50/0.84 (define @t411 () (tptp.c_HOL_Ouminus__class_Ouminus @t151 @t1)) % 0.50/0.84 (define @t412 () (tptp.c_HOL_Ouminus__class_Ouminus @t128 @t1)) % 0.50/0.84 (define @t413 () (tptp.c_HOL_Oord__class_Oless @t151 @t2 @t1)) % 0.50/0.84 (define @t414 () (tptp.c_HOL_Oord__class_Oless @t128 @t11 @t1)) % 0.50/0.84 (define @t415 () (tptp.c_HOL_Oord__class_Oless @t11 @t128 @t1)) % 0.50/0.84 (define @t416 () (tptp.c_HOL_Oord__class_Oless @t2 @t151 @t1)) % 0.50/0.84 (define @t417 () (tptp.c_lessequals @t151 @t2 @t1)) % 0.50/0.84 (define @t418 () (tptp.c_lessequals @t128 @t11 @t1)) % 0.50/0.84 (define @t419 () (tptp.c_lessequals @t11 @t128 @t1)) % 0.50/0.84 (define @t420 () (tptp.hAPP @t105 @t6)) % 0.50/0.84 (define @t421 () (= (tptp.hAPP @t420 @t2) @t2)) % 0.50/0.84 (define @t422 () (= (tptp.hAPP @t107 @t6) @t2)) % 0.50/0.84 (define @t423 () (not (tptp.class_OrderedGroup_Omonoid__add @t1))) % 0.50/0.84 (define @t424 () (tptp.c_HOL_Ozero__class_Ozero tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (define @t425 () (tptp.c_Polynomial_Opoly tptp.v_pa____ tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (define @t426 () (tptp.hAPP @t425 tptp.v_c____)) % 0.50/0.84 (define @t427 () (not (= @t426 @t424))) % 0.50/0.84 (define @t428 () (tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__offset__1 @t2 @t95)) % 0.50/0.84 (define @t429 () (tptp.c_HOL_Ozero__class_Ozero tptp.t_a)) % 0.50/0.84 (define @t430 () (tptp.c_Polynomial_Opoly @t95 tptp.t_a)) % 0.50/0.84 (define @t431 () (tptp.hAPP @t430 @t91)) % 0.50/0.84 (define @t432 () (not (tptp.class_Ring__and__Field_Oidom tptp.t_a))) % 0.50/0.84 (define @t433 () (@list @t95 @t91)) % 0.50/0.84 (define @t434 () (= (tptp.hAPP @t284 @t2) @t6)) % 0.50/0.84 (define @t435 () (tptp.hAPP @t107 @t302)) % 0.50/0.84 (define @t436 () (tptp.hAPP @t105 @t108)) % 0.50/0.84 (define @t437 () (tptp.hAPP @t436 @t73)) % 0.50/0.84 (define @t438 () (= @t437 @t435)) % 0.50/0.84 (define @t439 () (tptp.hAPP @t304 @t157)) % 0.50/0.84 (define @t440 () (tptp.hAPP @t107 @t439)) % 0.50/0.84 (define @t441 () (@list @t1 @t2 @t73 @t157)) % 0.50/0.84 (define @t442 () (tptp.hAPP @t105 @t238)) % 0.50/0.84 (define @t443 () (tptp.hAPP @t114 @t91)) % 0.50/0.84 (define @t444 () (= (tptp.hAPP @t420 @t6) @t6)) % 0.50/0.84 (define @t445 () (not (tptp.c_lessequals @t6 @t6 @t1))) % 0.50/0.84 (define @t446 () (tptp.c_lessequals @t11 @t238 @t1)) % 0.50/0.84 (define @t447 () (tptp.hAPP @t107 @t2)) % 0.50/0.84 (define @t448 () (not (= @t115 @t6))) % 0.50/0.84 (define @t449 () (tptp.c_HOL_Oord__class_Oless @t447 @t6 @t1)) % 0.50/0.84 (define @t450 () (not @t449)) % 0.50/0.84 (define @t451 () (= (tptp.c_Polynomial_Oorder @t2 @t95 @t1) @t39)) % 0.50/0.84 (define @t452 () (= (tptp.hAPP @t346 @t2) @t6)) % 0.50/0.84 (define @t453 () (= @t398 @t6)) % 0.50/0.84 (define @t454 () (tptp.hAPP @t3 @t347)) % 0.50/0.84 (define @t455 () (not (= @t319 @t6))) % 0.50/0.84 (define @t456 () (tptp.c_HOL_Oord__class_Oless @t6 @t447 @t1)) % 0.50/0.84 (define @t457 () (tptp.c_Polynomial_Opoly @t131 @t1)) % 0.50/0.84 (define @t458 () (= @t11 @t73)) % 0.50/0.84 (define @t459 () (not (= @t108 @t238))) % 0.50/0.84 (define @t460 () (not (tptp.class_OrderedGroup_Ocancel__semigroup__add @t1))) % 0.50/0.84 (define @t461 () (tptp.hAPP @t119 @t2)) % 0.50/0.84 (define @t462 () (@var "V_u" $$unsorted)) % 0.50/0.84 (define @t463 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.v_pa____ tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (define @t464 () (tptp.c_lessequals @t6 @t447 @t1)) % 0.50/0.84 (define @t465 () (tptp.c_Polynomial_Opoly @t60 @t1)) % 0.50/0.84 (define @t466 () (tptp.hAPP @t465 @t29)) % 0.50/0.84 (define @t467 () (@list @t1 @t95 @t60 @t29)) % 0.50/0.84 (define @t468 () (not (= @t108 @t6))) % 0.50/0.84 (define @t469 () (tptp.tc_Polynomial_Opoly tptp.t_a)) % 0.50/0.84 (define @t470 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t430 tptp.t_a tptp.t_a)) % 0.50/0.84 (define @t471 () (tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__3 @t95)) % 0.50/0.84 (define @t472 () (tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__2 @t95)) % 0.50/0.84 (define @t473 () (tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__1 @t95)) % 0.50/0.84 (define @t474 () (tptp.c_HOL_Oplus__class_Oplus tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (define @t475 () (@list @t95)) % 0.50/0.84 (define @t476 () (= @t320 @t131)) % 0.50/0.84 (define @t477 () (tptp.c_lessequals @t447 @t6 @t1)) % 0.50/0.84 (define @t478 () (not (tptp.class_Int_Oring__char__0 @t1))) % 0.50/0.84 (define @t479 () (tptp.c_Polynomial_Opoly tptp.v_q____ tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (define @t480 () (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t479 tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (define @t481 () (@var "T_1" $$unsorted)) % 0.50/0.84 (define @t482 () (not (tptp.class_OrderedGroup_Ocancel__comm__monoid__add @t481))) % 0.50/0.84 (define @t483 () (tptp.tc_Polynomial_Opoly @t481)) % 0.50/0.84 (define @t484 () (@list @t481)) % 0.50/0.84 (define @t485 () (not (tptp.class_Ring__and__Field_Ocomm__ring__1 @t481))) % 0.50/0.84 (define @t486 () (not (tptp.class_Ring__and__Field_Ocomm__ring @t481))) % 0.50/0.84 (define @t487 () (@var "T_2" $$unsorted)) % 0.50/0.84 (define @t488 () (tptp.tc_fun @t487 @t481)) % 0.50/0.84 (define @t489 () (@list @t487 @t481)) % 0.50/0.84 (define @t490 () (not (tptp.class_Ring__and__Field_Oordered__idom @t481))) % 0.50/0.84 (define @t491 () (not (tptp.class_Ring__and__Field_Oidom @t481))) % 0.50/0.84 (define @t492 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t481))) % 0.50/0.84 (define @t493 () (not (tptp.class_Ring__and__Field_Ocomm__semiring__0 @t481))) % 0.50/0.84 (define @t494 () (not (tptp.class_OrderedGroup_Ocomm__monoid__add @t481))) % 0.50/0.84 (define @t495 () (not (tptp.class_OrderedGroup_Oab__group__add @t481))) % 0.50/0.84 (define @t496 () (@var "V_Y" $$unsorted)) % 0.50/0.84 (define @t497 () (@var "V_X" $$unsorted)) % 0.50/0.84 (assume @p1 (forall @t8 (or @t7 (tptp.c_lessequals @t6 @t5 @t1)))) % 0.50/0.84 (assume @p2 (forall @t17 (or @t16 @t15 @t13 @t10))) % 0.50/0.84 (assume @p3 (forall @t17 (or @t16 @t15 @t21 @t19))) % 0.50/0.84 (assume @p4 (forall @t27 (or @t26 @t25 @t24 @t23))) % 0.50/0.84 (assume @p5 (forall @t27 (or @t26 @t25 @t23 @t24))) % 0.50/0.84 (assume @p6 (forall @t35 (or @t34 @t33 @t32 @t31))) % 0.50/0.84 (assume @p7 (forall @t35 (or @t34 @t33 @t31 @t32))) % 0.50/0.84 (assume @p8 (forall @t17 (or @t26 @t38 @t37 @t24))) % 0.50/0.84 (assume @p9 (forall @t17 (or @t26 @t38 @t24 @t37))) % 0.50/0.84 (assume @p10 (forall @t35 (or @t26 @t33 @t32 @t31))) % 0.50/0.84 (assume @p11 (forall @t35 (or @t26 @t32 @t33 @t31))) % 0.50/0.84 (assume @p12 (forall @t49 (or @t48 @t44 @t42))) % 0.50/0.84 (assume @p13 (forall @t49 (or @t48 @t51 @t50))) % 0.50/0.84 (assume @p14 (forall @t59 (or @t58 (= (tptp.hAPP (tptp.hAPP @t52 @t14) @t43) (tptp.hAPP @t57 @t54))))) % 0.50/0.84 (assume @p15 (forall (@list @t1 @t29 @t28 @t60) (or @t66 (= (tptp.hAPP (tptp.hAPP @t52 @t65) @t60) (tptp.hAPP @t63 (tptp.hAPP (tptp.hAPP @t52 @t28) @t60)))))) % 0.50/0.84 (assume @p16 (forall @t17 (or @t7 @t15 @t21 @t19))) % 0.50/0.84 (assume @p17 (forall @t17 (or @t7 @t15 @t13 @t10))) % 0.50/0.84 (assume @p18 (forall @t17 (or @t67 @t15 @t21 @t19))) % 0.50/0.84 (assume @p19 (forall @t72 (or @t71 (= @t70 (tptp.hAPP (tptp.hAPP @t3 @t69) @t29))))) % 0.50/0.84 (assume @p20 (forall @t76 (or (not (tptp.class_OrderedGroup_Oab__semigroup__mult @t1)) (= (tptp.hAPP (tptp.hAPP @t3 @t14) @t73) (tptp.hAPP @t4 @t75))))) % 0.50/0.84 (assume @p21 (forall @t84 (or @t66 (= @t83 (tptp.hAPP @t81 @t77))))) % 0.50/0.84 (assume @p22 (forall @t84 (or @t66 (= @t83 (tptp.hAPP @t80 (tptp.hAPP @t85 @t78)))))) % 0.50/0.84 (assume @p23 (forall @t90 (or @t66 (= @t89 (tptp.hAPP @t81 @t86))))) % 0.50/0.84 (assume @p24 (forall @t90 (or @t66 (= @t89 (tptp.hAPP @t87 (tptp.hAPP @t80 @t86)))))) % 0.50/0.84 (assume @p25 (forall @t93 (or @t66 (= (tptp.hAPP @t64 (tptp.hAPP @t92 @t91)) (tptp.hAPP (tptp.hAPP @t3 @t65) @t91))))) % 0.50/0.84 (assume @p26 (forall (@list @t94 @t96 @t91 @t2 @t95 @t1) (or @t103 @t102 (= @t99 (tptp.hAPP @t98 @t97))))) % 0.50/0.84 (assume @p27 (forall @t76 (or @t66 @t110))) % 0.50/0.84 (assume @p28 (forall (@list @t1 @t111 @t29 @t28) (or @t116 (= (tptp.hAPP @t112 @t115) (tptp.hAPP (tptp.hAPP @t105 @t113) (tptp.hAPP @t112 @t28)))))) % 0.50/0.84 (assume @p29 (forall (@list @t1 @t2 @t11 @t117) (or @t116 (= (tptp.hAPP @t4 (tptp.hAPP @t119 @t117)) (tptp.hAPP @t118 (tptp.hAPP @t4 @t117)))))) % 0.50/0.84 (assume @p30 (forall (@list @t1 @t29 @t28 @t120) (or @t116 (= (tptp.hAPP (tptp.hAPP @t3 @t115) @t120) (tptp.hAPP (tptp.hAPP @t105 (tptp.hAPP @t64 @t120)) (tptp.hAPP @t92 @t120)))))) % 0.50/0.84 (assume @p31 (forall (@list @t1 @t2 @t121 @t11) (or @t116 (= (tptp.hAPP (tptp.hAPP @t3 (tptp.hAPP @t107 @t121)) @t11) (tptp.hAPP @t118 (tptp.hAPP (tptp.hAPP @t3 @t121) @t11)))))) % 0.50/0.84 (assume @p32 (forall @t93 (or @t66 (= (tptp.hAPP @t64 @t125) @t123)))) % 0.50/0.84 (assume @p33 (forall @t76 (or (not (tptp.class_Ring__and__Field_Ocomm__semiring @t1)) @t110))) % 0.50/0.84 (assume @p34 (forall @t17 (or @t7 @t9 @t18 @t126))) % 0.50/0.84 (assume @p35 (forall @t27 (or @t7 @t12 @t18 @t126))) % 0.50/0.84 (assume @p36 (forall @t17 (or @t7 @t9 @t20 @t126))) % 0.50/0.84 (assume @p37 (forall @t27 (or @t7 @t12 @t20 @t126))) % 0.50/0.84 (assume @p38 (forall @t8 (or @t129 (not (= @t128 @t2)) @t127))) % 0.50/0.84 (assume @p39 (forall @t136 (or @t135 (not (= @t134 @t133)) @t132))) % 0.50/0.84 (assume @p40 (forall @t72 (or @t138 (tptp.c_HOL_Oord__class_Oless @t6 @t137 @t1)))) % 0.50/0.84 (assume @p41 (forall @t142 (or @t7 (not (tptp.c_HOL_Oord__class_Oless @t6 @t141 @t1))))) % 0.50/0.84 (assume @p42 (forall (@list @t1 @t2 @t41 @t11) (or @t66 (= (tptp.hAPP @t144 (tptp.hAPP @t74 @t41)) (tptp.hAPP @t109 @t41))))) % 0.50/0.84 (assume @p43 (forall @t142 (or @t147 (tptp.c_HOL_Oord__class_Oless @t6 @t146 @t1)))) % 0.50/0.84 (assume @p44 (forall @t17 (or @t116 (= @t150 @t148)))) % 0.50/0.84 (assume @p45 (forall @t35 (or @t116 (= (tptp.hAPP (tptp.hAPP @t3 @t70) @t28) (tptp.c_HOL_Ouminus__class_Ouminus @t65 @t1))))) % 0.50/0.84 (assume @p46 (forall @t17 (or @t116 (= @t152 @t148)))) % 0.50/0.84 (assume @p47 (forall (@list @t1 @t111 @t29) (or @t116 (= (tptp.hAPP @t112 @t70) (tptp.c_HOL_Ouminus__class_Ouminus @t113 @t1))))) % 0.50/0.84 (assume @p48 (forall @t155 (or @t154 (= (tptp.hAPP (tptp.hAPP @t3 @t151) @t151) @t153)))) % 0.50/0.84 (assume @p49 (forall @t17 (or @t156 (= (tptp.hAPP @t149 @t151) @t14)))) % 0.50/0.84 (assume @p50 (forall @t163 (or @t162 @t161 @t159 @t21 @t158 @t37))) % 0.50/0.84 (assume @p51 (forall @t163 (or @t162 @t161 @t159 @t19 @t158 @t37))) % 0.50/0.84 (assume @p52 (forall @t167 (or @t147 (not (= @t166 @t165)) @t24 @t21 @t19))) % 0.50/0.84 (assume @p53 (forall @t59 (or @t135 (= (tptp.c_Polynomial_Osmult @t2 @t168 @t1) (tptp.c_Polynomial_Omonom @t14 @t43 @t1))))) % 0.50/0.84 (assume @p54 (forall @t173 (or @t147 (tptp.c_HOL_Oord__class_Oless @t172 @t56 @t1) @t171 @t170))) % 0.50/0.84 (assume @p55 (forall @t181 (or @t7 @t180 @t179 @t178))) % 0.50/0.84 (assume @p56 (forall @t182 (or @t7 @t25 @t38 @t178))) % 0.50/0.84 (assume @p57 (forall @t181 (or @t7 @t180 @t179 @t184))) % 0.50/0.84 (assume @p58 (forall @t182 (or @t7 @t25 @t38 @t184))) % 0.50/0.84 (assume @p59 (forall @t185 (or @t66 (= (tptp.c_Polynomial_Osmult @t68 @t95 @t1) @t95)))) % 0.50/0.84 (assume @p60 (forall (@list @t1 @t2 @t187) (or @t135 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t186 @t187 @t1) @t186)))) % 0.50/0.84 (assume @p61 (forall @t167 (or @t190 (= (tptp.hAPP (tptp.hAPP @t189 @t188) @t168) (tptp.c_Polynomial_Omonom @t108 @t43 @t1))))) % 0.50/0.84 (assume @p62 (forall @t195 (or @t138 (tptp.c_lessequals @t194 @t29 @t1) @t193 @t192 @t191))) % 0.50/0.84 (assume @p63 (forall @t35 (or @t138 (tptp.c_lessequals @t65 @t29 @t1) @t193 @t192 @t191))) % 0.50/0.84 (assume @p64 (forall (@list @t41 @t197 @t43) (or (not (= (tptp.hAPP @t46 @t197) @t199)) @t196))) % 0.50/0.84 (assume @p65 (forall (@list @t197 @t41 @t43) (or (not (= (tptp.hAPP @t200 @t41) (tptp.hAPP @t200 @t43))) @t196))) % 0.50/0.84 (assume @p66 (forall @t204 (or (not (= (tptp.hAPP @t202 @t28) @t203)) @t201))) % 0.50/0.84 (assume @p67 (forall @t8 (or @t7 (not (tptp.c_HOL_Oord__class_Oless @t5 @t6 @t1))))) % 0.50/0.84 (assume @p68 (forall @t17 (or @t7 @t205 @t13 @t19))) % 0.50/0.84 (assume @p69 (forall @t17 (or @t7 @t205 @t21 @t10))) % 0.50/0.84 (assume @p70 (forall @t17 (or @t67 @t205 @t13 @t19))) % 0.50/0.84 (assume @p71 (forall @t17 (or @t67 @t205 @t21 @t10))) % 0.50/0.84 (assume @p72 (forall @t27 (or @t67 (tptp.c_lessequals @t206 @t6 @t1) @t13 @t19))) % 0.50/0.84 (assume @p73 (forall @t17 (or @t210 @t209 @t208 @t19))) % 0.50/0.84 (assume @p74 (forall @t17 (or @t210 @t209 @t21 @t170))) % 0.50/0.84 (assume @p75 (forall @t49 (= @t213 @t211))) % 0.50/0.84 (assume @p76 (forall @t216 (or @t215 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t212 @t1) (tptp.hAPP @t145 @t214))))) % 0.50/0.84 (assume @p77 (forall @t49 (or @t217 @t44 @t50))) % 0.50/0.84 (assume @p78 (forall @t49 (or @t217 @t51 @t42))) % 0.50/0.84 (assume @p79 (forall (@list @t1 @t95 @t60 @t43) (or @t190 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t221 @t1) @t43) (tptp.hAPP (tptp.hAPP @t105 @t219) (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t60 @t1) @t43)))))) % 0.50/0.84 (assume @p80 (forall @t142 (or @t222 (not (= @t6 @t68))))) % 0.50/0.84 (assume @p81 (forall @t142 (or @t215 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t223 @t1) @t68)))) % 0.50/0.84 (assume @p82 (= @t40 @t225)) % 0.50/0.84 (assume @p83 (forall @t227 (or @t135 (not (= @t226 @t131)) @t132))) % 0.50/0.84 (assume @p84 (forall @t8 (or @t229 @t9 (not @t228)))) % 0.50/0.84 (assume @p85 (forall @t8 (or @t229 @t228 @t10))) % 0.50/0.84 (assume @p86 (forall @t231 (or @t230 (= (tptp.hAPP (tptp.hAPP @t52 @t68) @t43) @t68)))) % 0.50/0.84 (assume @p87 (forall (@list @t1 @t2 @t29) (or @t232 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff (tptp.c_Polynomial_Omonom @t2 @t29 @t1) @t1) @t29) @t2)))) % 0.50/0.84 (assume @p88 (forall @t173 (or @t147 (tptp.c_HOL_Oord__class_Oless @t166 @t68 @t1) @t171 @t170))) % 0.50/0.84 (assume @p89 (forall @t236 (or @t190 (= (tptp.hAPP @t234 @t47) (tptp.hAPP (tptp.hAPP @t105 (tptp.hAPP @t234 @t41)) @t235))))) % 0.50/0.84 (assume @p90 (forall @t163 (or @t239 (tptp.c_lessequals @t238 @t237 @t1) @t158 @t37))) % 0.50/0.84 (assume @p91 (forall @t142 (or @t232 (= (tptp.hAPP @t241 @t240) @t6)))) % 0.50/0.84 (assume @p92 (forall @t142 (or @t244 @t243 (= (tptp.hAPP @t242 @t39) @t68)))) % 0.50/0.84 (assume @p93 (forall @t182 (or @t247 @t190 @t246 @t245 @t170))) % 0.50/0.84 (assume @p94 (forall @t173 (or @t138 @t248 @t19))) % 0.50/0.84 (assume @p95 (forall @t173 (or @t147 @t248 @t19))) % 0.50/0.84 (assume @p96 (forall @t8 (or @t251 @t9 @t250))) % 0.50/0.84 (assume @p97 (forall @t8 (or @t251 @t249 @t10))) % 0.50/0.84 (assume @p98 (forall @t8 (or @t251 @t18 @t253))) % 0.50/0.84 (assume @p99 (forall @t8 (or @t251 @t252 @t19))) % 0.50/0.84 (assume @p100 (forall @t8 (or @t129 @t9 @t250))) % 0.50/0.84 (assume @p101 (forall @t8 (or @t129 @t249 @t10))) % 0.50/0.84 (assume @p102 (forall @t8 (or @t129 @t18 @t253))) % 0.50/0.84 (assume @p103 (forall @t8 (or @t129 @t252 @t19))) % 0.50/0.84 (assume @p104 (forall @t8 (or @t232 (= (tptp.c_Polynomial_Odegree @t186 @t1) @t39)))) % 0.50/0.84 (assume @p105 (forall @t173 (or @t147 (tptp.c_lessequals @t68 @t56 @t1) (not (tptp.c_lessequals @t68 @t2 @t1))))) % 0.50/0.84 (assume @p106 (forall @t255 (or @t232 (= (tptp.hAPP @t254 @t164) @t219)))) % 0.50/0.84 (assume @p107 (forall @t49 (= @t213 @t256))) % 0.50/0.84 (assume @p108 (forall @t49 (= @t211 @t256))) % 0.50/0.84 (assume @p109 (forall @t72 (or (not (tptp.class_RealVector_Oreal__normed__vector @t1)) (= (tptp.c_RealVector_Onorm__class_Onorm @t70 @t1) (tptp.c_RealVector_Onorm__class_Onorm @t29 @t1))))) % 0.50/0.84 (assume @p110 (forall @t49 (= @t47 (tptp.hAPP @t198 @t41)))) % 0.50/0.84 (assume @p111 (forall (@list @t1 @t29 @t28 @t257) (or (not (tptp.class_OrderedGroup_Osemigroup__add @t1)) (= (tptp.c_List_Ofoldl @t105 @t115 @t257 @t1 @t1) (tptp.hAPP @t114 (tptp.c_List_Ofoldl @t105 @t28 @t257 @t1 @t1)))))) % 0.50/0.84 (assume @p112 (forall (@list @t259 @t258 @t1 @t2 @t43) (= (tptp.hAPP @t260 @t164) (tptp.hAPP (tptp.hAPP @t258 @t2) (tptp.hAPP @t260 @t43))))) % 0.50/0.84 (assume @p113 (forall @t173 (or (not (tptp.class_Ring__and__Field_Oring__1 @t1)) (= (tptp.hAPP (tptp.hAPP @t52 @t128) @t43) (tptp.hAPP (tptp.hAPP @t3 (tptp.hAPP (tptp.hAPP @t52 @t69) @t43)) @t56))))) % 0.50/0.84 (assume @p114 (forall @t263 (or @t154 (= (tptp.c_Polynomial_Odegree @t262 @t1) @t261) @t127))) % 0.50/0.84 (assume @p115 (forall @t265 (or @t215 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t47 @t1) (tptp.hAPP (tptp.hAPP @t105 @t214) @t264))))) % 0.50/0.84 (assume @p116 (forall @t35 (or @t232 (not (= (tptp.c_Polynomial_Ocoeff @t29 @t1) (tptp.c_Polynomial_Ocoeff @t28 @t1))) @t33))) % 0.50/0.84 (assume @p117 (forall @t8 (or @t232 (= (tptp.c_Polynomial_Omonom @t2 @t39 @t1) @t186)))) % 0.50/0.84 (assume @p118 (forall @t163 (or @t269 @t268 @t159 @t19 @t267 @t266))) % 0.50/0.84 (assume @p119 (forall @t72 (or @t271 (= @t270 @t29)))) % 0.50/0.84 (assume @p120 (forall @t272 (or @t135 (= (tptp.c_Polynomial_Osmult @t2 (tptp.c_Polynomial_OpCons @t11 @t95 @t1) @t1) (tptp.c_Polynomial_OpCons @t14 @t262 @t1))))) % 0.50/0.84 (assume @p121 (forall @t273 (not (= @t164 @t43)))) % 0.50/0.84 (assume @p122 (forall @t273 (not (= @t43 @t164)))) % 0.50/0.84 (assume @p123 (forall @t276 (or @t16 @t275 @t274 @t23))) % 0.50/0.84 (assume @p124 (forall @t181 (or @t16 @t277 @t274 @t23))) % 0.50/0.84 (assume @p125 (forall @t276 (or @t278 @t275 @t159 @t37))) % 0.50/0.84 (assume @p126 (forall @t181 (or @t278 @t277 @t159 @t37))) % 0.50/0.84 (assume @p127 (forall @t181 (or (not (tptp.class_Ring__and__Field_Omult__mono1 @t1)) @t277 @t159 @t37))) % 0.50/0.84 (assume @p128 (forall @t173 (or @t147 (tptp.c_HOL_Oord__class_Oless @t56 @t172 @t1) @t279))) % 0.50/0.84 (assume @p129 (forall @t282 (or @t232 @t281 @t24))) % 0.50/0.84 (assume @p130 (forall @t282 (or @t232 @t281 @t283))) % 0.50/0.84 (assume @p131 (forall @t17 (or @t285 (= (tptp.hAPP @t107 (tptp.hAPP @t284 @t11)) @t11)))) % 0.50/0.84 (assume @p132 (forall @t27 (or @t269 (tptp.c_HOL_Oord__class_Oless @t206 @t6 @t1) @t286 @t170))) % 0.50/0.84 (assume @p133 (forall @t17 (or @t269 @t287 @t286 @t170))) % 0.50/0.84 (assume @p134 (forall @t17 (or @t269 @t287 @t208 @t289))) % 0.50/0.84 (assume @p135 (forall @t27 (or @t7 @t20 @t12 @t290))) % 0.50/0.84 (assume @p136 (forall @t17 (or @t7 @t9 @t12 @t290))) % 0.50/0.84 (assume @p137 (forall @t27 (or @t7 @t20 @t18 @t290))) % 0.50/0.84 (assume @p138 (forall @t17 (or @t7 @t9 @t18 @t290))) % 0.50/0.84 (assume @p139 (forall @t185 (or @t232 (= @t292 @t291) @t132))) % 0.50/0.84 (assume @p140 (forall @t72 (or @t66 (= @t137 @t68)))) % 0.50/0.84 (assume @p141 (forall @t8 (or @t243 (= @t293 @t68)))) % 0.50/0.84 (assume @p142 (forall @t8 (or @t229 @t294 @t19))) % 0.50/0.84 (assume @p143 (forall @t8 (or @t229 @t18 (not @t294)))) % 0.50/0.84 (assume @p144 (forall @t173 (or (not (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t1)) @t295 @t127))) % 0.50/0.84 (assume @p145 (forall @t173 (or @t222 @t297 @t296 @t243 @t295 @t127))) % 0.50/0.84 (assume @p146 (forall @t35 (or @t271 (= (tptp.hAPP @t64 @t65) @t65)))) % 0.50/0.84 (assume @p147 (forall @t8 (or @t147 (tptp.c_HOL_Oord__class_Oless @t2 @t298 @t1)))) % 0.50/0.84 (assume @p148 (forall @t17 (or @t251 @t300 (not @t299)))) % 0.50/0.84 (assume @p149 (forall @t17 (or @t251 @t299 @t301))) % 0.50/0.84 (assume @p150 (forall @t17 (or @t156 (= @t148 @t152)))) % 0.50/0.84 (assume @p151 (forall @t17 (or @t156 (= @t148 @t150)))) % 0.50/0.84 (assume @p152 (forall @t276 (or @t247 @t303 @t37))) % 0.50/0.84 (assume @p153 (forall @t76 (or @t247 @t36 (not @t303)))) % 0.50/0.84 (assume @p154 (forall @t181 (or @t247 @t307 @t37))) % 0.50/0.84 (assume @p155 (forall @t76 (or @t247 @t36 (not @t307)))) % 0.50/0.84 (assume @p156 (forall @t276 (or @t239 @t303 @t37))) % 0.50/0.84 (assume @p157 (forall @t181 (or @t239 @t307 @t37))) % 0.50/0.84 (assume @p158 (forall @t185 (or @t232 (not (= (tptp.hAPP @t218 @t261) @t6)) @t132))) % 0.50/0.84 (assume @p159 (forall @t195 (or @t138 @t308 @t32 @t33))) % 0.50/0.84 (assume @p160 (forall @t35 (or @t34 @t33 @t308 @t32))) % 0.50/0.84 (assume @p161 (forall @t35 (or @t34 @t33 @t32 @t308))) % 0.50/0.84 (assume @p162 (forall @t195 (or @t34 @t308 @t33 @t32))) % 0.50/0.84 (assume @p163 (forall @t35 (or @t26 @t33 @t31 @t310))) % 0.50/0.84 (assume @p164 (forall @t35 (or @t26 @t33 @t310 @t31))) % 0.50/0.84 (assume @p165 (forall @t195 (or @t34 @t308 @t32 @t33))) % 0.50/0.84 (assume @p166 (forall (@list @t91 @t311) (or (= @t91 @t311) (not @t313) (not @t312)))) % 0.50/0.84 (assume @p167 (forall @t173 (or @t147 (tptp.c_HOL_Oord__class_Oless @t68 @t172 @t1) @t279))) % 0.50/0.84 (assume @p168 (forall @t35 (or @t314 (not (= @t70 (tptp.c_HOL_Ouminus__class_Ouminus @t28 @t1))) @t33))) % 0.50/0.84 (assume @p169 (forall @t17 (or @t285 (not (= @t128 @t151)) @t24))) % 0.50/0.84 (assume @p170 (forall @t316 (or @t66 (= @t315 (tptp.hAPP @t87 (tptp.hAPP @t82 @t86)))))) % 0.50/0.84 (assume @p171 (forall @t316 (or @t66 (= @t315 (tptp.hAPP @t80 (tptp.hAPP @t85 @t88)))))) % 0.50/0.84 (assume @p172 (forall @t316 (or @t66 (= @t315 (tptp.hAPP @t81 (tptp.hAPP @t85 @t86)))))) % 0.50/0.84 (assume @p173 (forall @t8 (or @t285 (not (= @t128 @t6)) @t127))) % 0.50/0.84 (assume @p174 (forall @t142 (or @t7 (tptp.c_lessequals @t141 @t6 @t1)))) % 0.50/0.84 (assume @p175 (forall @t17 (or @t210 @t317 @t286 @t10))) % 0.50/0.84 (assume @p176 (forall @t17 (or @t210 @t317 @t13 @t289))) % 0.50/0.84 (assume @p177 (forall @t27 (or @t229 @t318 @t266))) % 0.50/0.84 (assume @p178 (forall @t17 (or @t229 @t38 (not @t318)))) % 0.50/0.84 (assume @p179 (forall @t35 (or @t7 (not (tptp.c_HOL_Oord__class_Oless @t319 @t6 @t1))))) % 0.50/0.84 (assume @p180 (forall @t142 (or @t222 (not (= @t68 @t6))))) % 0.50/0.84 (assume @p181 (forall @t185 (or @t154 (= (tptp.c_Polynomial_Odegree @t320 @t1) @t39)))) % 0.50/0.84 (assume @p182 (forall @t59 (or @t147 @t38 @t21 (not (tptp.c_HOL_Oord__class_Oless @t56 @t54 @t1))))) % 0.50/0.84 (assume @p183 (forall @t27 (or @t269 @t207 @t170 (not (tptp.c_HOL_Oord__class_Oless @t6 @t206 @t1))))) % 0.50/0.84 (assume @p184 (forall @t27 (or @t269 @t207 @t170 (not @t321)))) % 0.50/0.84 (assume @p185 (forall @t17 (or @t269 @t321 @t208 @t170))) % 0.50/0.84 (assume @p186 (forall @t17 (or @t7 @t321 @t286 @t289))) % 0.50/0.84 (assume @p187 (forall @t17 (or @t324 @t323 @t322 @t127))) % 0.50/0.84 (assume @p188 (forall @t17 (or @t297 @t323 @t322 @t127))) % 0.50/0.84 (assume @p189 (forall @t17 (or @t297 @t323 @t127 @t322))) % 0.50/0.84 (assume @p190 (forall @t136 (or @t135 (not (= (tptp.hAPP (tptp.hAPP @t189 @t134) @t133) @t131)) @t132))) % 0.50/0.84 (assume @p191 (forall @t49 (or @t325 @t51))) % 0.50/0.84 (assume @p192 (forall @t49 (or @t325 @t50))) % 0.50/0.84 (assume @p193 (forall (@list @t1 @t29 @t95 @t60) (or @t66 (= (tptp.hAPP (tptp.hAPP @t3 (tptp.hAPP @t61 @t95)) @t62) (tptp.hAPP @t61 (tptp.hAPP (tptp.hAPP @t45 @t95) @t60)))))) % 0.50/0.84 (assume @p194 (forall @t17 (or @t154 (not (= @t5 @t153)) @t326 @t24))) % 0.50/0.84 (assume @p195 (forall @t76 (or @t269 @t38 @t159 @t184))) % 0.50/0.84 (assume @p196 (forall @t76 (or @t269 @t38 @t159 @t178))) % 0.50/0.84 (assume @p197 (forall @t76 (or @t327 @t38 @t159 @t184))) % 0.50/0.84 (assume @p198 (forall @t76 (or @t327 @t38 @t159 @t178))) % 0.50/0.84 (assume @p199 (forall (@list @t29 @t2) (or (not (= @t29 (tptp.hAPP @t202 @t2))) (= @t2 @t39)))) % 0.50/0.84 (assume @p200 (forall @t49 (or (not (= @t47 @t41)) @t50))) % 0.50/0.84 (assume @p201 (forall @t265 (or (not (tptp.class_Nat_Osemiring__char__0 @t1)) (not (= @t214 @t264)) @t196))) % 0.50/0.84 (assume @p202 (forall @t142 (or @t243 (= @t52 (tptp.c_Power_Opower_Opower @t68 @t3 @t1))))) % 0.50/0.84 (assume @p203 (forall @t35 (or @t7 (tptp.c_lessequals @t6 @t319 @t1)))) % 0.50/0.84 (assume @p204 (forall @t272 (or @t135 (= (tptp.c_Polynomial_Osmult @t108 @t95 @t1) (tptp.hAPP @t329 @t328))))) % 0.50/0.84 (assume @p205 (forall (@list @t1 @t2 @t95 @t60) (or @t135 (= (tptp.c_Polynomial_Osmult @t2 @t221 @t1) (tptp.hAPP @t329 (tptp.c_Polynomial_Osmult @t2 @t60 @t1)))))) % 0.50/0.84 (assume @p206 (forall @t332 (not (= @t39 @t331)))) % 0.50/0.84 (assume @p207 (forall @t333 (not (= @t39 @t212)))) % 0.50/0.84 (assume @p208 (forall @t17 (or @t229 @t36 (not @t334)))) % 0.50/0.84 (assume @p209 (forall @t27 (or @t229 @t334 @t37))) % 0.50/0.84 (assume @p210 (forall @t231 (or @t244 @t243 (= (tptp.hAPP @t242 @t164) @t6)))) % 0.50/0.84 (assume @p211 (forall @t163 (or @t269 @t268 @t159 @t208 @t267 @t266))) % 0.50/0.84 (assume @p212 (forall @t8 (or @t190 (= (tptp.hAPP @t234 @t223) @t2)))) % 0.50/0.84 (assume @p213 (forall @t263 (or @t232 @t335 @t132))) % 0.50/0.84 (assume @p214 (forall @t173 (or @t230 (= @t336 @t172)))) % 0.50/0.84 (assume @p215 (forall @t216 (or @t66 (= (tptp.hAPP @t337 @t41) (tptp.hAPP (tptp.hAPP @t3 @t146) @t41))))) % 0.50/0.84 (assume @p216 (forall (@list @t338 @t330) (or (not (= (tptp.c_Suc @t338) @t331)) (= @t338 @t330)))) % 0.50/0.84 (assume @p217 (forall (@list @t29 @t28) (or (not (= (tptp.c_Suc @t29) (tptp.c_Suc @t28))) @t33))) % 0.50/0.84 (assume @p218 (forall @t282 (or @t190 (= (tptp.hAPP (tptp.hAPP @t189 @t133) @t280) (tptp.c_Polynomial_OpCons @t108 @t221 @t1))))) % 0.50/0.84 (assume @p219 (= @t223 @t40)) % 0.50/0.84 (assume @p220 (forall @t72 (or @t66 (= (tptp.hAPP @t61 @t223) @t29)))) % 0.50/0.84 (assume @p221 (forall @t8 (or @t230 (= (tptp.hAPP @t55 @t223) @t2)))) % 0.50/0.84 (assume @p222 (forall @t49 (or @t217 @t51 @t50))) % 0.50/0.84 (assume @p223 (forall @t49 (or @t217 @t44 @t42))) % 0.50/0.84 (assume @p224 (forall @t173 (or @t147 (tptp.c_HOL_Oord__class_Oless @t6 @t56 @t1) @t170))) % 0.50/0.84 (assume @p225 (forall (@list @t1 @t2 @t43 @t29) (or @t66 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t188 @t1) @t29) (tptp.hAPP @t4 @t339))))) % 0.50/0.84 (assume @p226 (forall @t142 (or @t147 (not (tptp.c_HOL_Oord__class_Oless @t68 @t6 @t1))))) % 0.50/0.84 (assume @p227 (forall @t163 (or @t154 @t71 (not (= (tptp.hAPP @t106 @t160) (tptp.hAPP (tptp.hAPP @t105 (tptp.hAPP @t4 @t157)) @t75))) @t340 @t24))) % 0.50/0.84 (assume @p228 (forall (@list @t1 @t311 @t28 @t29 @t91) (or @t154 @t71 (not (= (tptp.hAPP (tptp.hAPP @t105 (tptp.hAPP @t341 @t28)) @t122) (tptp.hAPP (tptp.hAPP @t105 (tptp.hAPP @t341 @t91)) @t65))) @t201 (= @t311 @t29)))) % 0.50/0.84 (assume @p229 (forall @t173 (or @t232 (= (tptp.c_Polynomial_Odegree @t188 @t1) @t43) @t127))) % 0.50/0.84 (assume @p230 (forall @t142 (or @t147 (tptp.c_lessequals @t6 @t68 @t1)))) % 0.50/0.84 (assume @p231 (forall @t8 (or @t66 @t342))) % 0.50/0.84 (assume @p232 (forall @t8 (or @t66 @t343))) % 0.50/0.84 (assume @p233 (forall (@list @t1 @t28) (or @t116 (= (tptp.hAPP @t139 @t28) @t6)))) % 0.50/0.84 (assume @p234 (forall @t155 (or @t116 @t344))) % 0.50/0.84 (assume @p235 (forall @t8 (or @t116 @t343))) % 0.50/0.84 (assume @p236 (forall @t72 (or @t116 (= (tptp.hAPP @t64 @t6) @t6)))) % 0.50/0.84 (assume @p237 (forall @t72 (or @t66 (= (tptp.hAPP @t139 @t29) @t6)))) % 0.50/0.84 (assume @p238 (forall @t8 (or @t296 @t342))) % 0.50/0.84 (assume @p239 (forall @t8 (or @t296 @t343))) % 0.50/0.84 (assume @p240 (forall @t155 (or @t324 @t344))) % 0.50/0.84 (assume @p241 (forall @t8 (or @t324 @t343))) % 0.50/0.84 (assume @p242 (forall (@list @t1 @t2 @t41) (or @t66 (= (tptp.hAPP @t144 @t41) @t345)))) % 0.50/0.84 (assume @p243 (forall (@list @t1 @t41 @t2) (or @t66 (= (tptp.hAPP @t337 @t143) @t345)))) % 0.50/0.84 (assume @p244 (forall (@list @t1 @t95 @t73 @t60 @t347) (or @t135 (not (= (tptp.hAPP @t220 (tptp.c_Polynomial_Osmult @t73 @t60 @t1)) (tptp.c_Polynomial_OpCons @t347 @t60 @t1))) (= @t347 (tptp.hAPP @t346 @t73))))) % 0.50/0.84 (assume @p245 (= @t40 @t348)) % 0.50/0.84 (assume @p246 (forall @t72 (or @t34 @t350))) % 0.50/0.84 (assume @p247 (forall @t72 (or @t26 @t350))) % 0.50/0.84 (assume @p248 (forall @t72 (or @t351 @t350))) % 0.50/0.84 (assume @p249 (forall @t35 (or @t351 @t32 @t309 @t31))) % 0.50/0.84 (assume @p250 (forall @t142 (or @t147 (not (tptp.c_lessequals @t68 @t6 @t1))))) % 0.50/0.84 (assume @p251 (forall @t163 (or @t353 @t352 @t267 @t266))) % 0.50/0.84 (assume @p252 (forall @t35 (or @t26 @t30 @t354))) % 0.50/0.84 (assume @p253 (forall @t35 (or @t351 @t30 @t354))) % 0.50/0.84 (assume @p254 (forall (@list @t1 @t91 @t28) (or @t356 (= (tptp.hAPP (tptp.hAPP @t105 @t355) @t125) @t28)))) % 0.50/0.84 (assume @p255 (forall @t17 (or @t285 (= (tptp.hAPP @t284 @t108) @t11)))) % 0.50/0.84 (assume @p256 (forall @t333 (not (= @t212 @t39)))) % 0.50/0.84 (assume @p257 (forall @t332 (not (= @t331 @t39)))) % 0.50/0.84 (assume @p258 (forall @t173 (or @t147 (tptp.c_HOL_Oord__class_Oless @t68 @t166 @t1) @t279))) % 0.50/0.84 (assume @p259 (forall @t263 (or @t232 (= (tptp.hAPP @t254 @t39) @t2)))) % 0.50/0.84 (assume @p260 (forall @t72 (or @t138 (not (tptp.c_lessequals @t137 @t6 @t1))))) % 0.50/0.84 (assume @p261 (forall @t142 (or @t147 (tptp.c_HOL_Oord__class_Oless @t6 @t68 @t1)))) % 0.50/0.84 (assume @p262 (forall @t142 (or @t285 (= @t6 @t357)))) % 0.50/0.84 (assume @p263 (forall @t59 (or @t147 @t36 @t21 (not (tptp.c_lessequals @t166 @t165 @t1))))) % 0.50/0.84 (assume @p264 (forall @t163 (or @t269 @t268 @t159 @t170 @t267 @t37))) % 0.50/0.84 (assume @p265 (forall @t163 (or @t269 @t268 @t358 @t19 @t158 @t266))) % 0.50/0.84 (assume @p266 (forall @t236 (or @t147 (not (= @t359 @t56)) @t279 @t196))) % 0.50/0.84 (assume @p267 (forall @t362 (or @t66 (= @t361 @t360)))) % 0.50/0.84 (assume @p268 (forall @t362 (or @t66 (= (tptp.hAPP @t63 @t29) @t360)))) % 0.50/0.84 (assume @p269 (forall @t17 (or @t156 (= @t150 @t152)))) % 0.50/0.84 (assume @p270 (forall @t142 (or @t285 @t363))) % 0.50/0.84 (assume @p271 (forall @t142 (or @t129 @t363))) % 0.50/0.84 (assume @p272 (forall @t8 (or @t154 @t364))) % 0.50/0.84 (assume @p273 (forall @t8 (or @t135 @t364))) % 0.50/0.84 (assume @p274 (forall (@list @t259 @t258 @t1 @t2) (= (tptp.hAPP @t260 @t39) @t259))) % 0.50/0.84 (assume @p275 (forall @t76 (or @t247 @t38 (not @t365)))) % 0.50/0.84 (assume @p276 (forall @t181 (or @t247 @t365 @t266))) % 0.50/0.84 (assume @p277 (forall @t181 (or @t353 @t365 @t266))) % 0.50/0.84 (assume @p278 (forall @t76 (or @t247 @t38 (not @t366)))) % 0.50/0.84 (assume @p279 (forall @t276 (or @t247 @t366 @t266))) % 0.50/0.84 (assume @p280 (forall @t276 (or @t353 @t366 @t266))) % 0.50/0.84 (assume @p281 (forall @t72 (or @t351 @t367))) % 0.50/0.84 (assume @p282 (forall @t72 (or @t26 @t367))) % 0.50/0.84 (assume @p283 (forall (@list @t369 @t197 @t368) (or (tptp.c_lessequals @t369 @t197 tptp.tc_RealDef_Oreal) (not (tptp.c_lessequals @t368 @t197 tptp.tc_RealDef_Oreal)) (not (tptp.c_lessequals @t369 @t368 tptp.tc_RealDef_Oreal))))) % 0.50/0.84 (assume @p284 (forall @t370 (tptp.c_lessequals @t311 @t311 tptp.tc_RealDef_Oreal))) % 0.50/0.84 (assume @p285 (forall @t373 (or @t351 @t372 @t371 @t31))) % 0.50/0.84 (assume @p286 (forall @t373 (or @t351 @t372 @t374 @t354))) % 0.50/0.84 (assume @p287 (forall (@list @t1 @t2 @t11 @t157 @t73) (or @t229 (tptp.c_lessequals @t2 @t237 @t1) @t158 (not (tptp.c_lessequals @t2 @t302 @t1))))) % 0.50/0.84 (assume @p288 (forall @t373 (or @t351 (tptp.c_lessequals @t29 @t91 @t1) @t374 @t31))) % 0.50/0.84 (assume @p289 (forall @t377 (or @t26 @t376 @t375 @t310))) % 0.50/0.84 (assume @p290 (forall @t377 (or @t26 @t376 @t379 @t378))) % 0.50/0.84 (assume @p291 (forall @t377 (or @t26 (tptp.c_lessequals @t91 @t29 @t1) @t379 @t310))) % 0.50/0.84 (assume @p292 (= @t225 @t40)) % 0.50/0.84 (assume @p293 (forall @t381 (or @t135 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t133 @t1) @t29) (tptp.hAPP @t107 (tptp.hAPP @t64 @t380)))))) % 0.50/0.84 (assume @p294 (forall (@list @t94 @t91 @t96 @t2 @t95 @t1) (or @t103 (= @t99 (tptp.hAPP @t98 (tptp.c_HOL_OIf (tptp.c_fequal @t95 @t101 @t100) @t91 @t97 @t1)))))) % 0.50/0.84 (assume @p295 (forall @t182 (or @t7 @t25 @t179 @t178))) % 0.50/0.84 (assume @p296 (forall @t181 (or @t7 @t180 @t38 @t178))) % 0.50/0.84 (assume @p297 (forall @t182 (or @t7 @t25 @t179 @t184))) % 0.50/0.84 (assume @p298 (forall @t181 (or @t7 @t180 @t38 @t184))) % 0.50/0.84 (assume @p299 (forall @t173 (or @t232 (= (tptp.c_Polynomial_Omonom @t2 @t164 @t1) (tptp.c_Polynomial_OpCons @t6 @t188 @t1))))) % 0.50/0.84 (assume @p300 (forall @t8 (or @t229 @t288 (not @t382)))) % 0.50/0.84 (assume @p301 (forall @t8 (or @t229 @t382 @t289))) % 0.50/0.84 (assume @p302 (forall @t8 (or @t138 @t288 (not @t383)))) % 0.50/0.84 (assume @p303 (forall @t8 (or @t138 @t383 @t289))) % 0.50/0.84 (assume @p304 (forall @t167 (or @t232 (not (= @t188 @t168)) @t24))) % 0.50/0.84 (assume @p305 (forall @t17 (or @t285 (= @t385 (tptp.hAPP @t384 @t128))))) % 0.50/0.84 (assume @p306 (forall @t17 (or @t356 (= @t385 (tptp.hAPP @t284 @t151))))) % 0.50/0.84 (assume @p307 (forall @t27 (or @t351 @t386 @t266))) % 0.50/0.84 (assume @p308 (forall @t195 (or @t351 @t378 @t354))) % 0.50/0.84 (assume @p309 (forall @t195 (or @t34 @t309 @t30))) % 0.50/0.84 (assume @p310 (forall (@list @t311 @t91) (or @t313 @t312))) % 0.50/0.84 (assume @p311 (forall @t35 (or @t34 @t354 @t378))) % 0.50/0.84 (assume @p312 (forall @t17 (or @t26 @t266 @t386))) % 0.50/0.84 (assume @p313 (forall @t263 (or @t232 (= (tptp.c_Polynomial_Odegree @t133 @t1) @t291) @t132))) % 0.50/0.84 (assume @p314 (forall @t227 (or @t135 (= (tptp.c_Polynomial_Odegree @t226 @t1) @t261)))) % 0.50/0.84 (assume @p315 (forall (@list @t1 @t187) (or @t135 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t131 @t187 @t1) @t131)))) % 0.50/0.84 (assume @p316 (forall @t8 (or @t230 @t387))) % 0.50/0.84 (assume @p317 (forall @t8 (or @t230 @t389))) % 0.50/0.84 (assume @p318 (forall @t8 (or @t58 @t389))) % 0.50/0.84 (assume @p319 (forall @t72 (or @t66 (= (tptp.hAPP @t388 @t29) @t29)))) % 0.50/0.84 (assume @p320 (forall @t8 (or @t66 @t387))) % 0.50/0.84 (assume @p321 (forall @t8 (or @t66 @t389))) % 0.50/0.84 (assume @p322 (= @t348 @t40)) % 0.50/0.84 (assume @p323 (forall @t273 (= @t164 (tptp.hAPP (tptp.hAPP @t45 @t223) @t43)))) % 0.50/0.84 (assume @p324 (forall @t273 (= @t164 (tptp.hAPP @t198 @t223)))) % 0.50/0.84 (assume @p325 (forall @t8 (or @t229 @t390 @t170))) % 0.50/0.84 (assume @p326 (forall @t8 (or @t229 @t169 (not @t390)))) % 0.50/0.84 (assume @p327 (forall @t93 (or @t154 @t71 (= @t123 (tptp.hAPP (tptp.hAPP @t105 @t122) @t65))))) % 0.50/0.84 (assume @p328 (forall (@list @t1 @t29 @t73 @t157) (or @t154 @t71 (= (tptp.hAPP (tptp.hAPP @t105 @t391) @t392) (tptp.hAPP (tptp.hAPP @t105 @t392) @t391))))) % 0.50/0.84 (assume @p329 (forall (@list @t1 @t2 @t95 @t187) (or @t135 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Ooffset__poly @t133 @t187 @t1) (tptp.hAPP (tptp.hAPP @t189 (tptp.c_Polynomial_Osmult @t187 @t226 @t1)) (tptp.c_Polynomial_OpCons @t2 @t226 @t1)))))) % 0.50/0.84 (assume @p330 (forall @t393 (or @t66 (= (tptp.hAPP @t61 @t164) (tptp.hAPP @t64 @t339))))) % 0.50/0.84 (assume @p331 (forall @t173 (or @t230 (= @t166 @t336)))) % 0.50/0.84 (assume @p332 (forall @t173 (or @t243 (= @t166 @t172)))) % 0.50/0.84 (assume @p333 (forall @t362 (or @t66 (= @t360 @t361)))) % 0.50/0.84 (assume @p334 (forall @t173 (or @t190 (= @t395 @t394)))) % 0.50/0.84 (assume @p335 (forall @t173 (or @t190 (= @t395 @t397)))) % 0.50/0.84 (assume @p336 (forall @t35 (or @t66 (= @t65 @t194)))) % 0.50/0.84 (assume @p337 (= (tptp.hAPP @t224 @t39) @t39)) % 0.50/0.84 (assume @p338 (forall @t17 (or @t66 (= @t14 @t206)))) % 0.50/0.84 (assume @p339 (forall @t231 (or @t138 @t50 (not (tptp.c_HOL_Oord__class_Oless @t6 @t398 @t1)) (tptp.c_HOL_Oord__class_Oless @t6 @t6 @t1)))) % 0.50/0.84 (assume @p340 (forall @t377 (or @t26 @t376 @t375 @t378))) % 0.50/0.84 (assume @p341 (forall @t373 (or @t351 @t372 @t371 @t354))) % 0.50/0.84 (assume @p342 (forall @t255 (or @t135 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff @t262 @t1) @t43) (tptp.hAPP @t4 @t219))))) % 0.50/0.84 (assume @p343 (forall @t236 (or @t232 (= (tptp.hAPP (tptp.c_Polynomial_Ocoeff (tptp.c_Polynomial_Omonom @t2 @t41 @t1) @t1) @t43) @t6) @t196))) % 0.50/0.84 (assume @p344 (forall (@list @t41 @t43 @t197) (= (tptp.hAPP (tptp.hAPP @t45 @t47) @t197) (tptp.hAPP @t46 @t199)))) % 0.50/0.84 (assume @p345 (forall @t204 (= (tptp.hAPP @t202 (tptp.hAPP @t399 @t91)) (tptp.hAPP @t399 @t203)))) % 0.50/0.84 (assume @p346 (forall @t8 (or @t285 (not (= @t6 @t128)) (= @t6 @t2)))) % 0.50/0.84 (assume @p347 (forall @t236 (or @t230 (= (tptp.hAPP @t55 @t47) (tptp.hAPP (tptp.hAPP @t3 @t359) @t56))))) % 0.50/0.84 (assume @p348 (forall @t195 (or @t351 @t310 @t354))) % 0.50/0.84 (assume @p349 (forall @t35 (or @t34 @t32 @t309))) % 0.50/0.84 (assume @p350 (forall @t72 (or @t34 (not @t367) @t350))) % 0.50/0.84 (assume @p351 (forall @t72 (or @t34 @t349 @t367))) % 0.50/0.84 (assume @p352 (forall @t35 (or @t34 @t354 @t310))) % 0.50/0.84 (assume @p353 (forall @t195 (or @t34 @t309 @t32))) % 0.50/0.84 (assume @p354 (forall @t195 (or @t34 @t308 @t30))) % 0.50/0.84 (assume @p355 (forall @t35 (or @t34 @t31 @t378))) % 0.50/0.84 (assume @p356 (forall @t182 (or @t247 @t190 @t246 @t400 @t19))) % 0.50/0.84 (assume @p357 (forall @t167 (or @t147 (tptp.c_lessequals @t56 @t54 @t1) @t19 @t37))) % 0.50/0.84 (assume @p358 (forall @t393 (or @t138 (tptp.c_HOL_Oord__class_Oless @t29 @t6 @t1) (not (tptp.c_HOL_Oord__class_Oless @t339 @t6 @t1))))) % 0.50/0.84 (assume @p359 (forall @t393 (or @t138 @t401 (tptp.c_lessequals @t29 @t6 @t1) (not (tptp.c_lessequals @t339 @t6 @t1))))) % 0.50/0.84 (assume @p360 (forall @t76 (or @t269 @t36 @t358 (not @t275)))) % 0.50/0.84 (assume @p361 (forall @t76 (or @t269 @t36 @t358 @t402))) % 0.50/0.84 (assume @p362 (forall @t181 (or @t7 @t277 @t37 @t358))) % 0.50/0.84 (assume @p363 (forall @t76 (or @t7 @t36 @t402 @t358))) % 0.50/0.84 (assume @p364 (forall @t181 (or @t7 @t277 @t23 @t403))) % 0.50/0.84 (assume @p365 (forall @t182 (or @t7 @t22 @t402 @t403))) % 0.50/0.84 (assume @p366 (forall (@list @t1 @t2 @t404 @t11 @t73) (or (not (tptp.class_Ring__and__Field_Osemiring @t1)) (= (tptp.hAPP (tptp.hAPP @t105 (tptp.hAPP @t4 @t404)) (tptp.hAPP (tptp.hAPP @t105 (tptp.hAPP @t74 @t404)) @t73)) (tptp.hAPP (tptp.hAPP @t105 (tptp.hAPP @t109 @t404)) @t73))))) % 0.50/0.84 (assume @p367 (forall @t195 (or @t7 @t406 @t405))) % 0.50/0.84 (assume @p368 (forall @t35 (or @t7 @t401 @t405))) % 0.50/0.84 (assume @p369 (forall @t49 (or @t48 @t51 @t42))) % 0.50/0.84 (assume @p370 (forall @t49 (or @t48 @t44 @t50))) % 0.50/0.84 (assume @p371 (forall @t35 (or @t7 @t407 @t406))) % 0.50/0.84 (assume @p372 (forall @t35 (or @t7 @t407 @t401))) % 0.50/0.84 (assume @p373 (forall @t381 (or @t135 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t262 @t1) @t29) (tptp.hAPP @t4 @t380))))) % 0.50/0.84 (assume @p374 (forall @t216 (or @t147 (not (tptp.c_HOL_Oord__class_Oless @t214 @t6 @t1))))) % 0.50/0.84 (assume @p375 (forall @t93 (or @t356 (not (= @t408 @t28)) (= @t29 @t355)))) % 0.50/0.84 (assume @p376 (forall @t181 (or (not (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t1)) @t177 @t358 @t266))) % 0.50/0.84 (assume @p377 (forall @t276 (or @t7 @t183 @t386 @t403))) % 0.50/0.84 (assume @p378 (forall @t276 (or @t7 @t183 @t266 @t358))) % 0.50/0.84 (assume @p379 (forall @t276 (or @t269 @t183 @t358 @t266))) % 0.50/0.84 (assume @p380 (forall @t276 (or @t7 @t183 @t403 @t386))) % 0.50/0.84 (assume @p381 (forall @t181 (or @t7 @t177 @t386 @t403))) % 0.50/0.84 (assume @p382 (forall @t181 (or @t7 @t177 @t266 @t358))) % 0.50/0.84 (assume @p383 (forall @t181 (or @t269 @t177 @t358 @t266))) % 0.50/0.84 (assume @p384 (forall @t181 (or @t7 @t177 @t403 @t386))) % 0.50/0.84 (assume @p385 (forall @t76 (or @t7 @t38 @t178 @t358))) % 0.50/0.84 (assume @p386 (forall @t182 (or @t7 @t25 @t178 @t403))) % 0.50/0.84 (assume @p387 (forall @t272 (or @t135 (= (tptp.c_Polynomial_Osmult @t2 @t328 @t1) (tptp.c_Polynomial_Osmult @t14 @t95 @t1))))) % 0.50/0.84 (assume @p388 (forall @t216 (or @t147 (tptp.c_lessequals @t6 @t214 @t1)))) % 0.50/0.84 (assume @p389 (forall @t231 (or @t147 (tptp.c_lessequals @t6 @t264 @t1)))) % 0.50/0.84 (assume @p390 (forall @t409 (or @t190 (= (tptp.hAPP (tptp.hAPP @t189 @t131) @t60) @t60)))) % 0.50/0.84 (assume @p391 (forall @t185 (or @t190 (= (tptp.hAPP @t220 @t131) @t95)))) % 0.50/0.84 (assume @p392 (forall @t410 (= @t29 (tptp.hAPP @t202 @t39)))) % 0.50/0.84 (assume @p393 (forall @t333 (= (tptp.hAPP @t46 @t39) @t41))) % 0.50/0.84 (assume @p394 (forall @t273 (= (tptp.hAPP @t224 @t43) @t43))) % 0.50/0.84 (assume @p395 (forall @t265 (or @t147 (tptp.c_HOL_Oord__class_Oless @t68 (tptp.hAPP (tptp.hAPP @t3 @t41) @t43) @t1) (not (tptp.c_HOL_Oord__class_Oless @t68 @t43 @t1)) (not (tptp.c_HOL_Oord__class_Oless @t68 @t41 @t1))))) % 0.50/0.84 (assume @p396 (forall @t155 (or @t285 (= @t411 @t11)))) % 0.50/0.84 (assume @p397 (forall @t8 (or @t285 (= @t2 @t412)))) % 0.50/0.84 (assume @p398 (forall @t155 (or @t285 (= @t11 @t411)))) % 0.50/0.84 (assume @p399 (forall @t72 (or @t314 (= (tptp.c_HOL_Ouminus__class_Ouminus @t70 @t1) @t29)))) % 0.50/0.84 (assume @p400 (forall @t8 (or @t285 (= @t412 @t2)))) % 0.50/0.84 (assume @p401 (forall @t163 (or @t353 @t352 @t158 @t266))) % 0.50/0.84 (assume @p402 (forall @t163 (or @t353 @t352 @t267 @t37))) % 0.50/0.84 (assume @p403 (forall @t17 (or @t229 @t414 (not @t413)))) % 0.50/0.84 (assume @p404 (forall @t27 (or @t229 @t413 (not @t414)))) % 0.50/0.84 (assume @p405 (forall @t17 (or @t229 @t416 (not @t415)))) % 0.50/0.84 (assume @p406 (forall @t27 (or @t229 @t415 (not @t416)))) % 0.50/0.84 (assume @p407 (forall @t17 (or @t229 @t418 (not @t417)))) % 0.50/0.84 (assume @p408 (forall @t27 (or @t229 @t417 (not @t418)))) % 0.50/0.84 (assume @p409 (forall @t17 (or @t229 @t300 (not @t419)))) % 0.50/0.84 (assume @p410 (forall @t27 (or @t229 @t419 @t301))) % 0.50/0.84 (assume @p411 (forall @t8 (or @t66 @t421))) % 0.50/0.84 (assume @p412 (forall @t8 (or @t66 @t422))) % 0.50/0.84 (assume @p413 (forall @t8 (or @t190 @t421))) % 0.50/0.84 (assume @p414 (forall @t72 (or @t66 (= (tptp.hAPP @t420 @t29) @t29)))) % 0.50/0.84 (assume @p415 (forall @t72 (or @t154 @t71 (= @t29 (tptp.hAPP @t114 @t6))))) % 0.50/0.84 (assume @p416 (forall @t8 (or @t190 @t422))) % 0.50/0.84 (assume @p417 (forall @t8 (or @t423 @t421))) % 0.50/0.84 (assume @p418 (forall @t8 (or @t423 @t422))) % 0.50/0.84 (assume @p419 @t427) % 0.50/0.84 (assume @p420 (forall (@list @t2 @t95) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t428 tptp.tc_Complex_Ocomplex) (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t95 tptp.tc_Complex_Ocomplex)))) % 0.50/0.84 (assume @p421 (forall @t433 (or @t432 (not (= (tptp.v_sko__Fundamental__Theorem__Algebra__Mirabelle__Xpoly__decompose__lemma__2 @t95) @t429)) (= @t431 @t429) (= @t91 @t429)))) % 0.50/0.84 (assume @p422 (forall @t142 (or @t232 (= @t240 @t39)))) % 0.50/0.84 (assume @p423 (forall @t231 (or @t232 (= (tptp.hAPP @t241 @t43) @t6)))) % 0.50/0.84 (assume @p424 (forall @t17 (or @t210 @t317 @t286 @t289))) % 0.50/0.84 (assume @p425 (forall @t8 (or @t285 @t434))) % 0.50/0.84 (assume @p426 (forall @t8 (or @t285 (= (tptp.hAPP @t107 @t128) @t6)))) % 0.50/0.84 (assume @p427 (forall @t8 (or @t356 @t434))) % 0.50/0.84 (assume @p428 (forall @t155 (or @t285 (= (tptp.hAPP @t384 @t11) @t6)))) % 0.50/0.84 (assume @p429 (forall @t8 (or @t222 @t297 @t296 @t243 (not (= @t293 @t6))))) % 0.50/0.84 (assume @p430 (forall @t76 (or @t66 @t438))) % 0.50/0.84 (assume @p431 (forall @t441 (or @t66 (= @t440 (tptp.hAPP @t304 (tptp.hAPP @t107 @t157)))))) % 0.50/0.84 (assume @p432 (forall @t76 (or @t66 (= @t437 (tptp.hAPP @t442 @t11))))) % 0.50/0.84 (assume @p433 (forall @t441 (or @t66 (= @t440 (tptp.hAPP @t442 @t157))))) % 0.50/0.84 (assume @p434 (forall @t76 (or (not (tptp.class_OrderedGroup_Oab__semigroup__add @t1)) @t438))) % 0.50/0.84 (assume @p435 (forall @t93 (or @t356 (= @t408 (tptp.hAPP @t124 @t443))))) % 0.50/0.84 (assume @p436 (forall @t93 (or @t66 (= @t408 (tptp.hAPP (tptp.hAPP @t105 @t115) @t91))))) % 0.50/0.84 (assume @p437 (forall @t76 (or @t190 @t438))) % 0.50/0.84 (assume @p438 (forall @t76 (or @t190 (= @t435 (tptp.hAPP @t119 @t238))))) % 0.50/0.84 (assume @p439 (forall @t142 (or @t251 @t444))) % 0.50/0.84 (assume @p440 (forall @t142 (or @t210 @t445 @t445 @t444))) % 0.50/0.84 (assume @p441 (forall @t409 (or @t135 (= (tptp.c_Polynomial_Opcompose @t131 @t60 @t1) @t131)))) % 0.50/0.84 (assume @p442 (forall @t231 (or @t232 (= (tptp.c_Polynomial_Omonom @t6 @t43 @t1) @t131)))) % 0.50/0.84 (assume @p443 (forall (@list @t1 @t95 @t187 @t29) (or @t135 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t226 @t1) @t29) (tptp.hAPP @t346 (tptp.hAPP (tptp.hAPP @t105 @t187) @t29)))))) % 0.50/0.84 (assume @p444 (forall @t182 (or @t247 @t190 @t446 @t245 @t19))) % 0.50/0.84 (assume @p445 (forall @t182 (or @t247 @t190 @t446 @t23 @t159))) % 0.50/0.84 (assume @p446 (forall (@list @t1 @t29 @t2) (or @t154 @t71 (not (= @t29 (tptp.hAPP @t114 @t2))) @t127))) % 0.50/0.84 (assume @p447 (forall @t8 (or @t251 (not (= @t447 @t6)) @t127))) % 0.50/0.84 (assume @p448 (forall @t35 (or @t210 @t448 @t192 @t191 @t401))) % 0.50/0.84 (assume @p449 (forall @t35 (or @t210 @t448 @t192 @t191 @t406))) % 0.50/0.84 (assume @p450 (forall @t8 (or @t138 @t449 @t289))) % 0.50/0.84 (assume @p451 (forall @t8 (or @t138 @t288 @t450))) % 0.50/0.84 (assume @p452 (forall @t8 (or @t251 @t288 @t450))) % 0.50/0.84 (assume @p453 (forall @t8 (or @t251 @t449 @t289))) % 0.50/0.84 (assume @p454 (forall @t370 (tptp.c_lessequals (tptp.c_RealVector_Onorm__class_Onorm @t426 tptp.tc_Complex_Ocomplex) (tptp.c_RealVector_Onorm__class_Onorm (tptp.hAPP @t425 @t311) tptp.tc_Complex_Ocomplex) tptp.tc_RealDef_Oreal))) % 0.50/0.84 (assume @p455 (forall (@list @t94 @t96 @t91 @t1) (or @t103 @t102 (= (tptp.c_Polynomial_Opoly__rec @t91 @t96 @t101 @t1 @t94) @t91)))) % 0.50/0.84 (assume @p456 (forall (@list @t1 @t95 @t2) (or @t154 @t452 @t451))) % 0.50/0.84 (assume @p457 (forall @t231 (or @t222 @t297 @t296 @t243 @t453 @t50))) % 0.50/0.84 (assume @p458 (forall @t231 (or @t244 @t243 @t453 @t50))) % 0.50/0.84 (assume @p459 (forall @t173 (or @t190 (= @t397 @t394)))) % 0.50/0.84 (assume @p460 (forall @t182 (or @t147 @t246 @t400 @t170))) % 0.50/0.84 (assume @p461 (forall (@list @t1 @t29 @t347 @t73 @t157) (or @t154 @t71 (not (= (tptp.hAPP @t114 (tptp.hAPP @t454 @t73)) (tptp.hAPP @t114 (tptp.hAPP @t454 @t157)))) @t340 (= @t347 @t6)))) % 0.50/0.84 (assume @p462 (forall @t35 (or @t7 @t455 @t401))) % 0.50/0.84 (assume @p463 (forall @t35 (or @t7 @t455 @t406))) % 0.50/0.84 (assume @p464 (forall @t173 (or @t232 (not (= @t188 @t131)) @t127))) % 0.50/0.84 (assume @p465 (forall @t8 (or @t251 @t169 (not @t456)))) % 0.50/0.84 (assume @p466 (forall @t8 (or @t251 @t456 @t170))) % 0.50/0.84 (assume @p467 (forall (@list @t1 @t2 @t11 @t73 @t157) (or @t66 (= (tptp.hAPP @t436 @t439) (tptp.hAPP @t442 @t237))))) % 0.50/0.84 (assume @p468 (forall @t8 (or @t154 (= (tptp.hAPP @t457 @t2) @t6)))) % 0.50/0.84 (assume @p469 (forall @t72 (or @t135 (= (tptp.hAPP @t457 @t29) @t6)))) % 0.50/0.84 (assume @p470 (forall @t93 (or @t154 @t71 (not (= @t115 @t443)) @t201))) % 0.50/0.84 (assume @p471 (forall @t76 (or (not (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t1)) @t459 @t458))) % 0.50/0.84 (assume @p472 (forall @t76 (or @t460 @t459 @t458))) % 0.50/0.84 (assume @p473 (forall @t182 (or @t460 (not (= @t461 @t306)) @t458))) % 0.50/0.84 (assume @p474 (forall @t142 (or @t232 (= (tptp.c_Polynomial_OpCons @t6 @t131 @t1) @t131)))) % 0.50/0.84 (assume @p475 (forall @t142 (or @t215 (= (tptp.c_Nat_Osemiring__1__class_Oof__nat @t39 @t1) @t6)))) % 0.50/0.84 (assume @p476 (forall @t263 (or @t154 (not (= @t262 @t131)) @t132 @t127))) % 0.50/0.84 (assume @p477 (forall (@list @t1 @t29 @t28 @t91 @t462) (or @t356 (not (= @t408 (tptp.hAPP @t124 @t462))) (= @t443 @t462)))) % 0.50/0.84 (assume @p478 (= tptp.v_n____ @t463)) % 0.50/0.84 (assume @p479 (forall @t142 (or @t232 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t131 @t1) @t39)))) % 0.50/0.84 (assume @p480 (forall @t17 (or @t210 (tptp.c_lessequals @t6 @t108 @t1) @t21 @t19))) % 0.50/0.84 (assume @p481 (forall @t59 (or @t190 (= (tptp.hAPP (tptp.hAPP @t233 @t108) @t43) (tptp.hAPP @t396 (tptp.hAPP (tptp.hAPP @t233 @t11) @t43)))))) % 0.50/0.84 (assume @p482 (forall @t8 (or @t251 @t18 (not @t464)))) % 0.50/0.84 (assume @p483 (forall @t8 (or @t251 @t464 @t19))) % 0.50/0.84 (assume @p484 (forall @t467 (or @t135 (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t221 @t1) @t29) (tptp.hAPP (tptp.hAPP @t105 @t380) @t466))))) % 0.50/0.84 (assume @p485 (forall @t185 (or @t232 (not (= @t292 @t39)) @t132))) % 0.50/0.84 (assume @p486 (forall (@list @t1 @t2 @t73) (or @t66 (= @t238 @t306)))) % 0.50/0.84 (assume @p487 (forall @t35 (or @t66 (= @t115 (tptp.hAPP @t124 @t29))))) % 0.50/0.84 (assume @p488 (forall @t17 (or @t190 (= @t108 @t461)))) % 0.50/0.84 (assume @p489 (forall @t263 (or @t232 @t335 @t127))) % 0.50/0.84 (assume @p490 (forall (@list @t1 @t29 @t257) (or @t423 (= (tptp.hAPP @t114 (tptp.c_List_Ofoldl @t105 @t6 @t257 @t1 @t1)) (tptp.c_List_Ofoldl @t105 @t29 @t257 @t1 @t1))))) % 0.50/0.84 (assume @p491 (forall @t17 (or @t285 @t468 (= @t128 @t11)))) % 0.50/0.84 (assume @p492 (forall @t17 (or @t285 @t468 @t326))) % 0.50/0.84 (assume @p493 (or @t427 (= (tptp.hAPP @t425 (tptp.v_sko__unknown__thm__rrS__1 tptp.v_pa____)) @t424))) % 0.50/0.84 (assume @p494 (or (not (tptp.class_HOL_Ozero tptp.t_a)) (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.v_p tptp.t_a) (tptp.c_HOL_OIf (tptp.c_fequal tptp.v_p (tptp.c_HOL_Ozero__class_Ozero @t469) @t469) @t39 (tptp.c_Suc (tptp.c_Polynomial_Odegree tptp.v_p tptp.t_a)) tptp.tc_nat)))) % 0.50/0.84 (assume @p495 (forall @t231 (or @t190 (= (tptp.hAPP (tptp.hAPP @t233 @t6) @t43) @t6)))) % 0.50/0.84 (assume @p496 (forall @t8 (or @t190 (= (tptp.hAPP @t234 @t39) @t6)))) % 0.50/0.84 (assume @p497 (forall @t17 (or @t210 @t209 @t208 @t170))) % 0.50/0.84 (assume @p498 (forall @t433 (or @t432 (= @t431 (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Oplus__class_Oplus tptp.t_a) (tptp.hAPP @t430 @t429)) (tptp.hAPP (tptp.hAPP (tptp.c_HOL_Otimes__class_Otimes tptp.t_a) (tptp.hAPP (tptp.hAPP (tptp.c_Power_Opower__class_Opower tptp.t_a) @t91) @t473)) (tptp.hAPP (tptp.c_Polynomial_Opoly (tptp.c_Polynomial_OpCons @t472 @t471 tptp.t_a) tptp.t_a) @t91)))) @t470))) % 0.50/0.84 (assume @p499 (forall @t142 (or @t190 (tptp.c_OrderedGroup_Ocomm__monoid__add__axioms @t6 @t105 @t1)))) % 0.50/0.84 (assume @p500 (forall (@list @t2 @t95 @t60) (= (tptp.hAPP (tptp.c_Polynomial_Opoly @t428 tptp.tc_Complex_Ocomplex) @t60) (tptp.hAPP (tptp.c_Polynomial_Opoly @t95 tptp.tc_Complex_Ocomplex) (tptp.hAPP (tptp.hAPP @t474 @t2) @t60))))) % 0.50/0.84 (assume @p501 (forall @t142 (or @t423 (tptp.c_OrderedGroup_Omonoid__add__axioms @t6 @t105 @t1)))) % 0.50/0.84 (assume @p502 (forall @t475 (or @t432 (= (tptp.hAPP (tptp.hAPP @t45 (tptp.hAPP (tptp.hAPP @t45 (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t471 tptp.t_a)) @t473)) @t223) (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize @t95 tptp.t_a)) @t470))) % 0.50/0.84 (assume @p503 (forall @t263 (or @t154 (not @t451) @t132 (not @t452)))) % 0.50/0.84 (assume @p504 (forall @t185 (or @t154 @t476))) % 0.50/0.84 (assume @p505 (forall @t185 (or @t135 @t476))) % 0.50/0.84 (assume @p506 (forall @t8 (or @t251 @t9 (not @t477)))) % 0.50/0.84 (assume @p507 (forall @t8 (or @t251 @t477 @t10))) % 0.50/0.84 (assume @p508 (forall @t17 (or @t210 @t299 @t13 @t10))) % 0.50/0.84 (assume @p509 (forall @t142 (or @t7 (= @t141 @t6)))) % 0.50/0.84 (assume @p510 (forall @t185 (or @t154 @t478 (not (= @t346 @t457)) @t132))) % 0.50/0.84 (assume @p511 (forall (@list @t1 @t95 @t60) (or @t154 @t478 (not (= @t346 @t465)) @t283))) % 0.50/0.84 (assume @p512 (forall (@list @t96 @t29 @t28) (or (= (tptp.hAPP @t96 @t29) (tptp.hAPP @t96 @t28)) (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t96 tptp.t_a tptp.t_b))))) % 0.50/0.84 (assume @p513 (forall @t475 (or @t432 (not (= @t473 @t39)) @t470))) % 0.50/0.84 (assume @p514 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant (tptp.c_Polynomial_Opoly tptp.v_p tptp.tc_Complex_Ocomplex) tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex))) % 0.50/0.84 (assume @p515 (forall @t467 (or @t135 (= (tptp.hAPP (tptp.c_Polynomial_Opoly (tptp.c_Polynomial_Opcompose @t95 @t60 @t1) @t1) @t29) (tptp.hAPP @t346 @t466))))) % 0.50/0.84 (assume @p516 (= (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Opsize tptp.v_q____ tptp.tc_Complex_Ocomplex) @t463)) % 0.50/0.84 (assume @p517 (forall @t410 (= (tptp.hAPP @t479 @t29) (tptp.hAPP @t425 (tptp.hAPP (tptp.hAPP @t474 tptp.v_c____) @t29))))) % 0.50/0.84 (assume @p518 (not (tptp.c_Fundamental__Theorem__Algebra__Mirabelle_Oconstant @t425 tptp.tc_Complex_Ocomplex tptp.tc_Complex_Ocomplex))) % 0.50/0.84 (assume @p519 (forall @t475 (or @t432 (not (= @t472 @t429)) @t470))) % 0.50/0.84 (assume @p520 (not @t480)) % 0.50/0.84 (assume @p521 @t480) % 0.50/0.84 (assume @p522 (forall @t484 (or (tptp.class_OrderedGroup_Ocancel__comm__monoid__add @t483) @t482))) % 0.50/0.84 (assume @p523 (forall @t484 (or (tptp.class_Ring__and__Field_Ocomm__ring__1 @t483) @t485))) % 0.50/0.84 (assume @p524 (forall @t484 (or (tptp.class_Ring__and__Field_Ocomm__ring @t483) @t486))) % 0.50/0.84 (assume @p525 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p526 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p527 (tptp.class_Ring__and__Field_Ocomm__ring tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p528 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p529 (tptp.class_Ring__and__Field_Ocomm__ring__1 tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p530 (tptp.class_Ring__and__Field_Ocomm__ring tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p531 (tptp.class_OrderedGroup_Ocancel__comm__monoid__add tptp.tc_nat)) % 0.50/0.84 (assume @p532 (forall @t489 (or (tptp.class_Lattices_Oboolean__algebra @t488) (not (tptp.class_Lattices_Oboolean__algebra @t481))))) % 0.50/0.84 (assume @p533 (forall @t489 (or (tptp.class_Orderings_Opreorder @t488) (not (tptp.class_Orderings_Opreorder @t481))))) % 0.50/0.84 (assume @p534 (forall @t489 (or (tptp.class_Orderings_Oorder @t488) (not (tptp.class_Orderings_Oorder @t481))))) % 0.50/0.84 (assume @p535 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_nat)) % 0.50/0.84 (assume @p536 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_nat)) % 0.50/0.84 (assume @p537 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_nat)) % 0.50/0.84 (assume @p538 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_nat)) % 0.50/0.84 (assume @p539 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_nat)) % 0.50/0.84 (assume @p540 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_nat)) % 0.50/0.84 (assume @p541 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_nat)) % 0.50/0.84 (assume @p542 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_nat)) % 0.50/0.84 (assume @p543 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_nat)) % 0.50/0.84 (assume @p544 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_nat)) % 0.50/0.84 (assume @p545 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_nat)) % 0.50/0.84 (assume @p546 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_nat)) % 0.50/0.84 (assume @p547 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_nat)) % 0.50/0.84 (assume @p548 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_nat)) % 0.50/0.84 (assume @p549 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_nat)) % 0.50/0.84 (assume @p550 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_nat)) % 0.50/0.84 (assume @p551 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_nat)) % 0.50/0.84 (assume @p552 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_nat)) % 0.50/0.84 (assume @p553 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_nat)) % 0.50/0.84 (assume @p554 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_nat)) % 0.50/0.84 (assume @p555 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_nat)) % 0.50/0.84 (assume @p556 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_nat)) % 0.50/0.84 (assume @p557 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_nat)) % 0.50/0.84 (assume @p558 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_nat)) % 0.50/0.84 (assume @p559 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_nat)) % 0.50/0.84 (assume @p560 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_nat)) % 0.50/0.84 (assume @p561 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_nat)) % 0.50/0.84 (assume @p562 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_nat)) % 0.50/0.84 (assume @p563 (tptp.class_Ring__and__Field_Osemiring tptp.tc_nat)) % 0.50/0.84 (assume @p564 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_nat)) % 0.50/0.84 (assume @p565 (tptp.class_Nat_Osemiring__char__0 tptp.tc_nat)) % 0.50/0.84 (assume @p566 (tptp.class_Orderings_Opreorder tptp.tc_nat)) % 0.50/0.84 (assume @p567 (tptp.class_Orderings_Olinorder tptp.tc_nat)) % 0.50/0.84 (assume @p568 (tptp.class_Orderings_Oorder tptp.tc_nat)) % 0.50/0.84 (assume @p569 (tptp.class_Power_Opower tptp.tc_nat)) % 0.50/0.84 (assume @p570 (tptp.class_HOL_Ozero tptp.tc_nat)) % 0.50/0.84 (assume @p571 (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p572 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p573 (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p574 (tptp.class_Ring__and__Field_Opordered__cancel__semiring tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p575 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p576 (tptp.class_Ring__and__Field_Oordered__semiring__strict tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p577 (tptp.class_OrderedGroup_Opordered__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p578 (tptp.class_OrderedGroup_Opordered__comm__monoid__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p579 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p580 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p581 (tptp.class_Ring__and__Field_Oordered__ring__strict tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p582 (tptp.class_OrderedGroup_Opordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p583 (tptp.class_OrderedGroup_Olordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p584 (tptp.class_OrderedGroup_Oordered__ab__group__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p585 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p586 (tptp.class_Ring__and__Field_Opordered__semiring tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p587 (tptp.class_Ring__and__Field_Oordered__semiring tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p588 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p589 (tptp.class_Ring__and__Field_Oordered__semidom tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p590 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p591 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p592 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p593 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p594 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p595 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p596 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p597 (tptp.class_Ring__and__Field_Opordered__ring tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p598 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p599 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p600 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p601 (tptp.class_Ring__and__Field_Oordered__idom tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p602 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p603 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p604 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p605 (tptp.class_Ring__and__Field_Omult__mono1 tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p606 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p607 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p608 (tptp.class_Ring__and__Field_Omult__mono tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p609 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p610 (tptp.class_Ring__and__Field_Osemiring tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p611 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p612 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p613 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p614 (tptp.class_Ring__and__Field_Oring tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p615 (tptp.class_Ring__and__Field_Oidom tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p616 (tptp.class_Nat_Osemiring__char__0 tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p617 (tptp.class_Orderings_Opreorder tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p618 (tptp.class_Orderings_Olinorder tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p619 (tptp.class_Orderings_Oorder tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p620 (tptp.class_Int_Oring__char__0 tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p621 (tptp.class_Int_Onumber__ring tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p622 (tptp.class_Power_Opower tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p623 (tptp.class_HOL_Ozero tptp.tc_RealDef_Oreal)) % 0.50/0.84 (assume @p624 (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p625 (tptp.class_Ring__and__Field_Oring__no__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p626 (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p627 (tptp.class_OrderedGroup_Ocancel__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p628 (tptp.class_Ring__and__Field_Ono__zero__divisors tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p629 (tptp.class_Ring__and__Field_Ocomm__semiring__1 tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p630 (tptp.class_Ring__and__Field_Ocomm__semiring__0 tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p631 (tptp.class_RealVector_Oreal__normed__algebra tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p632 (tptp.class_OrderedGroup_Oab__semigroup__mult tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p633 (tptp.class_RealVector_Oreal__normed__vector tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p634 (tptp.class_OrderedGroup_Ocomm__monoid__mult tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p635 (tptp.class_OrderedGroup_Oab__semigroup__add tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p636 (tptp.class_Ring__and__Field_Ocomm__semiring tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p637 (tptp.class_OrderedGroup_Ocomm__monoid__add tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p638 (tptp.class_Ring__and__Field_Ozero__neq__one tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p639 (tptp.class_OrderedGroup_Osemigroup__add tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p640 (tptp.class_Ring__and__Field_Osemiring__1 tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p641 (tptp.class_Ring__and__Field_Osemiring__0 tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p642 (tptp.class_OrderedGroup_Oab__group__add tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p643 (tptp.class_Ring__and__Field_Omult__zero tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p644 (tptp.class_OrderedGroup_Omonoid__mult tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p645 (tptp.class_Ring__and__Field_Osemiring tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p646 (tptp.class_OrderedGroup_Omonoid__add tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p647 (tptp.class_OrderedGroup_Ogroup__add tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p648 (tptp.class_Ring__and__Field_Oring__1 tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p649 (tptp.class_Ring__and__Field_Oring tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p650 (tptp.class_Ring__and__Field_Oidom tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p651 (tptp.class_Nat_Osemiring__char__0 tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p652 (tptp.class_Int_Oring__char__0 tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p653 (tptp.class_Int_Onumber__ring tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p654 (tptp.class_Power_Opower tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p655 (tptp.class_HOL_Ozero tptp.tc_Complex_Ocomplex)) % 0.50/0.84 (assume @p656 (forall @t484 (or (tptp.class_OrderedGroup_Opordered__cancel__ab__semigroup__add @t483) @t490))) % 0.50/0.84 (assume @p657 (forall @t484 (or (tptp.class_OrderedGroup_Opordered__ab__semigroup__add__imp__le @t483) @t490))) % 0.50/0.84 (assume @p658 (forall @t484 (or (tptp.class_Ring__and__Field_Oordered__comm__semiring__strict @t483) @t490))) % 0.50/0.84 (assume @p659 (forall @t484 (or (tptp.class_Ring__and__Field_Opordered__cancel__semiring @t483) @t490))) % 0.50/0.84 (assume @p660 (forall @t484 (or (tptp.class_Ring__and__Field_Oring__1__no__zero__divisors @t483) @t491))) % 0.50/0.84 (assume @p661 (forall @t484 (or (tptp.class_Ring__and__Field_Oordered__semiring__strict @t483) @t490))) % 0.50/0.84 (assume @p662 (forall @t484 (or (tptp.class_OrderedGroup_Opordered__ab__semigroup__add @t483) @t490))) % 0.50/0.84 (assume @p663 (forall @t484 (or (tptp.class_OrderedGroup_Opordered__comm__monoid__add @t483) @t490))) % 0.50/0.84 (assume @p664 (forall @t484 (or (tptp.class_Ring__and__Field_Oring__no__zero__divisors @t483) @t491))) % 0.50/0.84 (assume @p665 (forall @t484 (or (tptp.class_OrderedGroup_Ocancel__ab__semigroup__add @t483) @t482))) % 0.50/0.84 (assume @p666 (forall @t484 (or (tptp.class_Ring__and__Field_Oordered__ring__strict @t483) @t490))) % 0.50/0.84 (assume @p667 (forall @t484 (or (tptp.class_OrderedGroup_Opordered__ab__group__add @t483) @t490))) % 0.50/0.84 (assume @p668 (forall @t484 (or (tptp.class_OrderedGroup_Oordered__ab__group__add @t483) @t490))) % 0.50/0.84 (assume @p669 (forall @t484 (or (tptp.class_OrderedGroup_Ocancel__semigroup__add @t483) @t482))) % 0.50/0.84 (assume @p670 (forall @t484 (or (tptp.class_Ring__and__Field_Opordered__semiring @t483) @t490))) % 0.50/0.84 (assume @p671 (forall @t484 (or (tptp.class_Ring__and__Field_Oordered__semiring @t483) @t490))) % 0.50/0.84 (assume @p672 (forall @t484 (or (tptp.class_Ring__and__Field_Ono__zero__divisors @t483) @t491))) % 0.50/0.84 (assume @p673 (forall @t484 (or (tptp.class_Ring__and__Field_Oordered__semidom @t483) @t490))) % 0.50/0.84 (assume @p674 (forall @t484 (or (tptp.class_Ring__and__Field_Ocomm__semiring__1 @t483) @t492))) % 0.50/0.84 (assume @p675 (forall @t484 (or (tptp.class_Ring__and__Field_Ocomm__semiring__0 @t483) @t493))) % 0.50/0.84 (assume @p676 (forall @t484 (or (tptp.class_OrderedGroup_Oab__semigroup__mult @t483) @t493))) % 0.50/0.84 (assume @p677 (forall @t484 (or (tptp.class_OrderedGroup_Ocomm__monoid__mult @t483) @t492))) % 0.50/0.84 (assume @p678 (forall @t484 (or (tptp.class_OrderedGroup_Oab__semigroup__add @t483) @t494))) % 0.50/0.84 (assume @p679 (forall @t484 (or (tptp.class_Ring__and__Field_Opordered__ring @t483) @t490))) % 0.50/0.84 (assume @p680 (forall @t484 (or (tptp.class_Ring__and__Field_Ocomm__semiring @t483) @t493))) % 0.50/0.84 (assume @p681 (forall @t484 (or (tptp.class_OrderedGroup_Ocomm__monoid__add @t483) @t494))) % 0.50/0.84 (assume @p682 (forall @t484 (or (tptp.class_Ring__and__Field_Ozero__neq__one @t483) @t492))) % 0.50/0.84 (assume @p683 (forall @t484 (or (tptp.class_Ring__and__Field_Oordered__idom @t483) @t490))) % 0.50/0.84 (assume @p684 (forall @t484 (or (tptp.class_OrderedGroup_Osemigroup__add @t483) @t494))) % 0.50/0.84 (assume @p685 (forall @t484 (or (tptp.class_Ring__and__Field_Osemiring__1 @t483) @t492))) % 0.50/0.85 (assume @p686 (forall @t484 (or (tptp.class_Ring__and__Field_Osemiring__0 @t483) @t493))) % 0.50/0.85 (assume @p687 (forall @t484 (or (tptp.class_Ring__and__Field_Omult__mono1 @t483) @t490))) % 0.50/0.85 (assume @p688 (forall @t484 (or (tptp.class_OrderedGroup_Oab__group__add @t483) @t495))) % 0.50/0.85 (assume @p689 (forall @t484 (or (tptp.class_Ring__and__Field_Omult__zero @t483) @t493))) % 0.50/0.85 (assume @p690 (forall @t484 (or (tptp.class_Ring__and__Field_Omult__mono @t483) @t490))) % 0.50/0.85 (assume @p691 (forall @t484 (or (tptp.class_OrderedGroup_Omonoid__mult @t483) @t492))) % 0.50/0.85 (assume @p692 (forall @t484 (or (tptp.class_Ring__and__Field_Osemiring @t483) @t493))) % 0.50/0.85 (assume @p693 (forall @t484 (or (tptp.class_OrderedGroup_Omonoid__add @t483) @t494))) % 0.50/0.85 (assume @p694 (forall @t484 (or (tptp.class_OrderedGroup_Ogroup__add @t483) @t495))) % 0.50/0.85 (assume @p695 (forall @t484 (or (tptp.class_Ring__and__Field_Oring__1 @t483) @t485))) % 0.50/0.85 (assume @p696 (forall @t484 (or (tptp.class_Ring__and__Field_Oring @t483) @t486))) % 0.50/0.85 (assume @p697 (forall @t484 (or (tptp.class_Ring__and__Field_Oidom @t483) @t491))) % 0.50/0.85 (assume @p698 (forall @t484 (or (tptp.class_Nat_Osemiring__char__0 @t483) @t490))) % 0.50/0.85 (assume @p699 (forall @t484 (or (tptp.class_Orderings_Opreorder @t483) @t490))) % 0.50/0.85 (assume @p700 (forall @t484 (or (tptp.class_Orderings_Olinorder @t483) @t490))) % 0.50/0.85 (assume @p701 (forall @t484 (or (tptp.class_Orderings_Oorder @t483) @t490))) % 0.50/0.85 (assume @p702 (forall @t484 (or (tptp.class_Int_Oring__char__0 @t483) @t490))) % 0.50/0.85 (assume @p703 (forall @t484 (or (tptp.class_Int_Onumber__ring @t483) @t485))) % 0.50/0.85 (assume @p704 (forall @t484 (or (tptp.class_Power_Opower @t483) @t492))) % 0.50/0.85 (assume @p705 (forall @t484 (or (tptp.class_HOL_Ozero @t483) (not (tptp.class_HOL_Ozero @t481))))) % 0.50/0.85 (assume @p706 (forall (@list @t29 @t1) (tptp.hBOOL (tptp.c_fequal @t29 @t29 @t1)))) % 0.50/0.85 (assume @p707 (forall (@list @t497 @t496 @t1) (or (= @t497 @t496) (not (tptp.hBOOL (tptp.c_fequal @t497 @t496 @t1)))))) % 0.50/0.85 (step @p708 false :rule chain_m_resolution :premises (@p521 @p520) :args (false (@list true) (@list @t480))) % 0.50/0.85 ) % 0.50/0.85 % SZS output end Proof % 0.50/0.85 % cvc5 exiting %------------------------------------------------------------------------------